id	sid	tid	token	lemma	pos
ejpam-6506	1	1	european	european	PROPN
ejpam-6506	1	2	journal	journal	PROPN
ejpam-6506	1	3	of	of	ADP
ejpam-6506	1	4	pure	pure	ADJ
ejpam-6506	1	5	and	and	CCONJ
ejpam-6506	1	6	applied	applied	ADJ
ejpam-6506	1	7	mathematics	mathematic	NOUN
ejpam-6506	1	8	2025	2025	NUM
ejpam-6506	1	9	,	,	PUNCT
ejpam-6506	1	10	vol	vol	NOUN
ejpam-6506	1	11	.	.	PROPN
ejpam-6506	1	12	18	18	NUM
ejpam-6506	1	13	,	,	PUNCT
ejpam-6506	1	14	issue	issue	NOUN
ejpam-6506	1	15	4	4	NUM
ejpam-6506	1	16	,	,	PUNCT
ejpam-6506	1	17	article	article	NOUN
ejpam-6506	1	18	number	number	NOUN
ejpam-6506	1	19	6506	6506	NUM
ejpam-6506	1	20	issn	issn	PROPN
ejpam-6506	1	21	1307	1307	NUM
ejpam-6506	1	22	-	-	SYM
ejpam-6506	1	23	5543	5543	NUM
ejpam-6506	1	24	–	–	PUNCT
ejpam-6506	1	25	ejpam.com	ejpam.com	X
ejpam-6506	1	26	published	publish	VERB
ejpam-6506	1	27	by	by	ADP
ejpam-6506	1	28	new	new	PROPN
ejpam-6506	1	29	york	york	PROPN
ejpam-6506	1	30	business	business	PROPN
ejpam-6506	1	31	global	global	PROPN
ejpam-6506	1	32	on	on	ADP
ejpam-6506	1	33	the	the	DET
ejpam-6506	1	34	dynamics	dynamic	NOUN
ejpam-6506	1	35	of	of	ADP
ejpam-6506	1	36	particular	particular	ADJ
ejpam-6506	1	37	discrete	discrete	ADJ
ejpam-6506	1	38	quadratic	quadratic	ADJ
ejpam-6506	1	39	systems	system	NOUN
ejpam-6506	1	40	with	with	ADP
ejpam-6506	1	41	potential	potential	ADJ
ejpam-6506	1	42	absence	absence	NOUN
ejpam-6506	1	43	of	of	ADP
ejpam-6506	1	44	equilibria	equilibrium	NOUN
ejpam-6506	1	45	:	:	PUNCT
ejpam-6506	1	46	standard	standard	PROPN
ejpam-6506	1	47	euler	euler	PROPN
ejpam-6506	1	48	versus	versus	ADP
ejpam-6506	1	49	nonstandard	nonstandard	PROPN
ejpam-6506	1	50	mickens	mickens	PROPN
ejpam-6506	1	51	discretizations	discretization	NOUN
ejpam-6506	1	52	moch	moch	PROPN
ejpam-6506	1	53	.	.	PUNCT
ejpam-6506	2	1	fandi	fandi	PROPN
ejpam-6506	2	2	ansori1	ansori1	PROPN
ejpam-6506	2	3	,	,	PUNCT
ejpam-6506	2	4	hafidh	hafidh	PROPN
ejpam-6506	2	5	khoerul	khoerul	PROPN
ejpam-6506	2	6	fata1,∗	fata1,∗	NOUN
ejpam-6506	2	7	,	,	PUNCT
ejpam-6506	2	8	nurcahya	nurcahya	ADJ
ejpam-6506	2	9	yulian	yulian	PROPN
ejpam-6506	2	10	ashar1	ashar1	PROPN
ejpam-6506	2	11	,	,	PUNCT
ejpam-6506	2	12	ratna	ratna	PROPN
ejpam-6506	2	13	herdiana1	herdiana1	PROPN
ejpam-6506	2	14	,	,	PUNCT
ejpam-6506	2	15	khairul	khairul	PROPN
ejpam-6506	2	16	saleh2	saleh2	PROPN
ejpam-6506	2	17	1	1	NUM
ejpam-6506	2	18	department	department	NOUN
ejpam-6506	2	19	of	of	ADP
ejpam-6506	2	20	mathematics	mathematic	NOUN
ejpam-6506	2	21	,	,	PUNCT
ejpam-6506	2	22	faculty	faculty	NOUN
ejpam-6506	2	23	of	of	ADP
ejpam-6506	2	24	science	science	NOUN
ejpam-6506	2	25	and	and	CCONJ
ejpam-6506	2	26	mathematics	mathematic	NOUN
ejpam-6506	2	27	,	,	PUNCT
ejpam-6506	2	28	universitas	universita	NOUN
ejpam-6506	2	29	diponegoro	diponegoro	PROPN
ejpam-6506	2	30	,	,	PUNCT
ejpam-6506	2	31	semarang	semarang	PROPN
ejpam-6506	2	32	,	,	PUNCT
ejpam-6506	2	33	50275	50275	NUM
ejpam-6506	2	34	,	,	PUNCT
ejpam-6506	2	35	indonesia	indonesia	PROPN
ejpam-6506	2	36	2	2	NUM
ejpam-6506	2	37	department	department	NOUN
ejpam-6506	2	38	of	of	ADP
ejpam-6506	2	39	mathematics	mathematic	NOUN
ejpam-6506	2	40	,	,	PUNCT
ejpam-6506	2	41	college	college	NOUN
ejpam-6506	2	42	of	of	ADP
ejpam-6506	2	43	computing	computing	NOUN
ejpam-6506	2	44	and	and	CCONJ
ejpam-6506	2	45	mathematics	mathematic	NOUN
ejpam-6506	2	46	,	,	PUNCT
ejpam-6506	2	47	king	king	PROPN
ejpam-6506	2	48	fahd	fahd	PROPN
ejpam-6506	2	49	university	university	PROPN
ejpam-6506	2	50	of	of	ADP
ejpam-6506	2	51	petroleum	petroleum	NOUN
ejpam-6506	2	52	and	and	CCONJ
ejpam-6506	2	53	minerals	mineral	NOUN
ejpam-6506	2	54	,	,	PUNCT
ejpam-6506	2	55	dhahran	dhahran	NOUN
ejpam-6506	2	56	,	,	PUNCT
ejpam-6506	2	57	31261	31261	NUM
ejpam-6506	2	58	,	,	PUNCT
ejpam-6506	2	59	saudi	saudi	PROPN
ejpam-6506	2	60	arabia	arabia	PROPN
ejpam-6506	2	61	abstract	abstract	NOUN
ejpam-6506	2	62	.	.	PUNCT
ejpam-6506	3	1	this	this	DET
ejpam-6506	3	2	study	study	NOUN
ejpam-6506	3	3	examined	examine	VERB
ejpam-6506	3	4	the	the	DET
ejpam-6506	3	5	dynamics	dynamic	NOUN
ejpam-6506	3	6	of	of	ADP
ejpam-6506	3	7	a	a	DET
ejpam-6506	3	8	three	three	NUM
ejpam-6506	3	9	-	-	PUNCT
ejpam-6506	3	10	dimensional	dimensional	ADJ
ejpam-6506	3	11	discrete	discrete	ADJ
ejpam-6506	3	12	-	-	PUNCT
ejpam-6506	3	13	time	time	NOUN
ejpam-6506	3	14	quadratic	quadratic	ADJ
ejpam-6506	3	15	system	system	NOUN
ejpam-6506	3	16	that	that	PRON
ejpam-6506	3	17	may	may	AUX
ejpam-6506	3	18	lack	lack	VERB
ejpam-6506	3	19	equilibrium	equilibrium	NOUN
ejpam-6506	3	20	points	point	NOUN
ejpam-6506	3	21	,	,	PUNCT
ejpam-6506	3	22	depending	depend	VERB
ejpam-6506	3	23	on	on	ADP
ejpam-6506	3	24	the	the	DET
ejpam-6506	3	25	parameter	parameter	NOUN
ejpam-6506	3	26	values	value	NOUN
ejpam-6506	3	27	.	.	PUNCT
ejpam-6506	4	1	two	two	NUM
ejpam-6506	4	2	discretization	discretization	NOUN
ejpam-6506	4	3	methods	method	NOUN
ejpam-6506	4	4	were	be	AUX
ejpam-6506	4	5	considered	consider	VERB
ejpam-6506	4	6	:	:	PUNCT
ejpam-6506	4	7	the	the	DET
ejpam-6506	4	8	standard	standard	PROPN
ejpam-6506	4	9	forward	forward	ADV
ejpam-6506	4	10	euler	euler	NOUN
ejpam-6506	4	11	method	method	NOUN
ejpam-6506	4	12	and	and	CCONJ
ejpam-6506	4	13	a	a	DET
ejpam-6506	4	14	nonstandard	nonstandard	ADJ
ejpam-6506	4	15	finite	finite	ADJ
ejpam-6506	4	16	-	-	PUNCT
ejpam-6506	4	17	difference	difference	NOUN
ejpam-6506	4	18	scheme	scheme	NOUN
ejpam-6506	4	19	following	follow	VERB
ejpam-6506	4	20	mickens	micken	NOUN
ejpam-6506	4	21	’	'	PUNCT
ejpam-6506	4	22	approach	approach	NOUN
ejpam-6506	4	23	.	.	PUNCT
ejpam-6506	5	1	we	we	PRON
ejpam-6506	5	2	investigated	investigate	VERB
ejpam-6506	5	3	how	how	SCONJ
ejpam-6506	5	4	the	the	DET
ejpam-6506	5	5	control	control	NOUN
ejpam-6506	5	6	parameter	parameter	NOUN
ejpam-6506	5	7	and	and	CCONJ
ejpam-6506	5	8	step	step	NOUN
ejpam-6506	5	9	size	size	NOUN
ejpam-6506	5	10	affect	affect	VERB
ejpam-6506	5	11	stability	stability	NOUN
ejpam-6506	5	12	and	and	CCONJ
ejpam-6506	5	13	transition	transition	NOUN
ejpam-6506	5	14	to	to	PART
ejpam-6506	5	15	chaos	chaos	VERB
ejpam-6506	5	16	.	.	PUNCT
ejpam-6506	6	1	analytical	analytical	ADJ
ejpam-6506	6	2	derivations	derivation	NOUN
ejpam-6506	6	3	,	,	PUNCT
ejpam-6506	6	4	together	together	ADV
ejpam-6506	6	5	with	with	ADP
ejpam-6506	6	6	numerical	numerical	ADJ
ejpam-6506	6	7	experiments	experiment	NOUN
ejpam-6506	6	8	including	include	VERB
ejpam-6506	6	9	phase	phase	NOUN
ejpam-6506	6	10	portraits	portrait	NOUN
ejpam-6506	6	11	,	,	PUNCT
ejpam-6506	6	12	bifurcation	bifurcation	NOUN
ejpam-6506	6	13	diagrams	diagram	NOUN
ejpam-6506	6	14	,	,	PUNCT
ejpam-6506	6	15	and	and	CCONJ
ejpam-6506	6	16	lyapunov	lyapunov	PROPN
ejpam-6506	6	17	exponent	exponent	NOUN
ejpam-6506	6	18	calculations	calculation	NOUN
ejpam-6506	6	19	,	,	PUNCT
ejpam-6506	6	20	reveal	reveal	VERB
ejpam-6506	6	21	diverse	diverse	ADJ
ejpam-6506	6	22	dynamic	dynamic	ADJ
ejpam-6506	6	23	behaviors	behavior	NOUN
ejpam-6506	6	24	.	.	PUNCT
ejpam-6506	7	1	both	both	DET
ejpam-6506	7	2	discretizations	discretization	NOUN
ejpam-6506	7	3	capture	capture	VERB
ejpam-6506	7	4	chaotic	chaotic	ADJ
ejpam-6506	7	5	motion	motion	NOUN
ejpam-6506	7	6	,	,	PUNCT
ejpam-6506	7	7	but	but	CCONJ
ejpam-6506	7	8	the	the	DET
ejpam-6506	7	9	nonstandard	nonstandard	ADJ
ejpam-6506	7	10	finitedifference	finitedifference	NOUN
ejpam-6506	7	11	scheme	scheme	NOUN
ejpam-6506	7	12	preserves	preserve	VERB
ejpam-6506	7	13	structural	structural	ADJ
ejpam-6506	7	14	stability	stability	NOUN
ejpam-6506	7	15	more	more	ADV
ejpam-6506	7	16	effectively	effectively	ADV
ejpam-6506	7	17	across	across	ADP
ejpam-6506	7	18	parameter	parameter	NOUN
ejpam-6506	7	19	ranges	range	NOUN
ejpam-6506	7	20	.	.	PUNCT
ejpam-6506	8	1	these	these	DET
ejpam-6506	8	2	results	result	NOUN
ejpam-6506	8	3	enrich	enrich	VERB
ejpam-6506	8	4	the	the	DET
ejpam-6506	8	5	study	study	NOUN
ejpam-6506	8	6	of	of	ADP
ejpam-6506	8	7	discrete	discrete	ADJ
ejpam-6506	8	8	chaotic	chaotic	ADJ
ejpam-6506	8	9	systems	system	NOUN
ejpam-6506	8	10	and	and	CCONJ
ejpam-6506	8	11	highlight	highlight	VERB
ejpam-6506	8	12	the	the	DET
ejpam-6506	8	13	advantages	advantage	NOUN
ejpam-6506	8	14	of	of	ADP
ejpam-6506	8	15	nonstandard	nonstandard	ADJ
ejpam-6506	8	16	discretization	discretization	NOUN
ejpam-6506	8	17	.	.	PUNCT
ejpam-6506	9	1	2020	2020	NUM
ejpam-6506	9	2	mathematics	mathematic	NOUN
ejpam-6506	9	3	subject	subject	NOUN
ejpam-6506	9	4	classifications	classification	NOUN
ejpam-6506	9	5	:	:	PUNCT
ejpam-6506	9	6	37m15	37m15	NUM
ejpam-6506	9	7	,	,	PUNCT
ejpam-6506	9	8	39a33	39a33	NUM
ejpam-6506	9	9	key	key	ADJ
ejpam-6506	9	10	words	word	NOUN
ejpam-6506	9	11	and	and	CCONJ
ejpam-6506	9	12	phrases	phrase	NOUN
ejpam-6506	9	13	:	:	PUNCT
ejpam-6506	9	14	discrete	discrete	ADJ
ejpam-6506	9	15	-	-	PUNCT
ejpam-6506	9	16	time	time	NOUN
ejpam-6506	9	17	dynamical	dynamical	ADJ
ejpam-6506	9	18	systems	system	NOUN
ejpam-6506	9	19	,	,	PUNCT
ejpam-6506	9	20	quadratic	quadratic	ADJ
ejpam-6506	9	21	maps	map	NOUN
ejpam-6506	9	22	,	,	PUNCT
ejpam-6506	9	23	nonstandard	nonstandard	ADJ
ejpam-6506	9	24	finite	finite	ADJ
ejpam-6506	9	25	difference	difference	NOUN
ejpam-6506	9	26	scheme	scheme	NOUN
ejpam-6506	9	27	,	,	PUNCT
ejpam-6506	9	28	two	two	NUM
ejpam-6506	9	29	-	-	PUNCT
ejpam-6506	9	30	parameter	parameter	NOUN
ejpam-6506	9	31	bifurcation	bifurcation	NOUN
ejpam-6506	9	32	analysis	analysis	NOUN
ejpam-6506	9	33	,	,	PUNCT
ejpam-6506	9	34	lyapunov	lyapunov	PROPN
ejpam-6506	9	35	exponent	exponent	NOUN
ejpam-6506	9	36	analysis	analysis	NOUN
ejpam-6506	9	37	1	1	NUM
ejpam-6506	9	38	.	.	PUNCT
ejpam-6506	10	1	introduction	introduction	NOUN
ejpam-6506	10	2	dynamic	dynamic	ADJ
ejpam-6506	10	3	systems	system	NOUN
ejpam-6506	10	4	,	,	PUNCT
ejpam-6506	10	5	whether	whether	SCONJ
ejpam-6506	10	6	continuous	continuous	ADJ
ejpam-6506	10	7	or	or	CCONJ
ejpam-6506	10	8	discrete	discrete	ADJ
ejpam-6506	10	9	,	,	PUNCT
ejpam-6506	10	10	are	be	AUX
ejpam-6506	10	11	used	use	VERB
ejpam-6506	10	12	in	in	ADP
ejpam-6506	10	13	many	many	ADJ
ejpam-6506	10	14	fields	field	NOUN
ejpam-6506	10	15	such	such	ADJ
ejpam-6506	10	16	as	as	ADP
ejpam-6506	10	17	physics	physics	NOUN
ejpam-6506	10	18	and	and	CCONJ
ejpam-6506	10	19	engineering	engineering	NOUN
ejpam-6506	11	1	[	[	X
ejpam-6506	11	2	1–4	1–4	NOUN
ejpam-6506	11	3	]	]	X
ejpam-6506	11	4	,	,	PUNCT
ejpam-6506	11	5	chemistry	chemistry	NOUN
ejpam-6506	11	6	and	and	CCONJ
ejpam-6506	11	7	environmental	environmental	ADJ
ejpam-6506	11	8	science	science	NOUN
ejpam-6506	12	1	[	[	X
ejpam-6506	12	2	5	5	NUM
ejpam-6506	12	3	]	]	PUNCT
ejpam-6506	12	4	,	,	PUNCT
ejpam-6506	12	5	biology	biology	NOUN
ejpam-6506	12	6	and	and	CCONJ
ejpam-6506	12	7	epidemiology	epidemiology	NOUN
ejpam-6506	13	1	[	[	X
ejpam-6506	13	2	6–9	6–9	NOUN
ejpam-6506	13	3	]	]	PUNCT
ejpam-6506	13	4	,	,	PUNCT
ejpam-6506	13	5	and	and	CCONJ
ejpam-6506	13	6	economics	economic	NOUN
ejpam-6506	13	7	and	and	CCONJ
ejpam-6506	13	8	finance	finance	NOUN
ejpam-6506	14	1	[	[	X
ejpam-6506	14	2	10–12	10–12	NUM
ejpam-6506	14	3	]	]	PUNCT
ejpam-6506	14	4	.	.	PUNCT
ejpam-6506	15	1	analyzing	analyze	VERB
ejpam-6506	15	2	these	these	DET
ejpam-6506	15	3	systems	system	NOUN
ejpam-6506	15	4	is	be	AUX
ejpam-6506	15	5	challenging	challenge	VERB
ejpam-6506	15	6	because	because	SCONJ
ejpam-6506	15	7	chaotic	chaotic	ADJ
ejpam-6506	15	8	behavior	behavior	NOUN
ejpam-6506	15	9	may	may	AUX
ejpam-6506	15	10	arise	arise	VERB
ejpam-6506	15	11	even	even	ADV
ejpam-6506	15	12	in	in	ADP
ejpam-6506	15	13	low	low	ADJ
ejpam-6506	15	14	-	-	PUNCT
ejpam-6506	15	15	dimensional	dimensional	ADJ
ejpam-6506	15	16	models	model	NOUN
ejpam-6506	15	17	with	with	ADP
ejpam-6506	15	18	only	only	ADV
ejpam-6506	15	19	three	three	NUM
ejpam-6506	15	20	differential	differential	ADJ
ejpam-6506	15	21	equations	equation	NOUN
ejpam-6506	16	1	[	[	X
ejpam-6506	16	2	13	13	NUM
ejpam-6506	16	3	]	]	PUNCT
ejpam-6506	16	4	.	.	PUNCT
ejpam-6506	17	1	a	a	DET
ejpam-6506	17	2	notable	notable	ADJ
ejpam-6506	17	3	example	example	NOUN
ejpam-6506	17	4	is	be	AUX
ejpam-6506	17	5	a	a	DET
ejpam-6506	17	6	three	three	NUM
ejpam-6506	17	7	-	-	PUNCT
ejpam-6506	17	8	dimensional	dimensional	ADJ
ejpam-6506	17	9	dynamical	dynamical	ADJ
ejpam-6506	17	10	system	system	NOUN
ejpam-6506	17	11	that	that	PRON
ejpam-6506	17	12	may	may	AUX
ejpam-6506	17	13	lack	lack	VERB
ejpam-6506	17	14	equilibria	equilibrium	NOUN
ejpam-6506	18	1	[	[	X
ejpam-6506	18	2	14	14	NUM
ejpam-6506	18	3	]	]	PUNCT
ejpam-6506	18	4	.	.	PUNCT
ejpam-6506	19	1	such	such	ADJ
ejpam-6506	19	2	systems	system	NOUN
ejpam-6506	19	3	,	,	PUNCT
ejpam-6506	19	4	characterized	characterize	VERB
ejpam-6506	19	5	by	by	ADP
ejpam-6506	19	6	the	the	DET
ejpam-6506	19	7	absence	absence	NOUN
ejpam-6506	19	8	of	of	ADP
ejpam-6506	19	9	fixed	fix	VERB
ejpam-6506	19	10	points	point	NOUN
ejpam-6506	19	11	,	,	PUNCT
ejpam-6506	19	12	can	can	AUX
ejpam-6506	19	13	be	be	AUX
ejpam-6506	19	14	studied	study	VERB
ejpam-6506	19	15	using	use	VERB
ejpam-6506	19	16	∗corresponding	∗corresponde	VERB
ejpam-6506	19	17	author	author	NOUN
ejpam-6506	19	18	.	.	PUNCT
ejpam-6506	20	1	doi	doi	NOUN
ejpam-6506	20	2	:	:	PUNCT
ejpam-6506	20	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6506	https://doi.org/10.29020/nybg.ejpam.v18i4.6506	NOUN
ejpam-6506	20	4	email	email	NOUN
ejpam-6506	20	5	addresses	address	NOUN
ejpam-6506	20	6	:	:	PUNCT
ejpam-6506	20	7	hafid@lecturer.undip.ac.id	hafid@lecturer.undip.ac.id	PROPN
ejpam-6506	20	8	(	(	PUNCT
ejpam-6506	20	9	h.	h.	PROPN
ejpam-6506	20	10	k.	k.	PROPN
ejpam-6506	20	11	fata	fata	PROPN
ejpam-6506	20	12	)	)	PUNCT
ejpam-6506	20	13	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6506	21	1	1	1	NUM
ejpam-6506	21	2	copyright	copyright	NOUN
ejpam-6506	21	3	:	:	PUNCT
ejpam-6506	21	4	©	©	PROPN
ejpam-6506	21	5	2025	2025	NUM
ejpam-6506	21	6	the	the	DET
ejpam-6506	21	7	author(s	author(s	NOUN
ejpam-6506	21	8	)	)	PUNCT
ejpam-6506	21	9	.	.	PUNCT
ejpam-6506	22	1	(	(	PUNCT
ejpam-6506	22	2	cc	cc	NOUN
ejpam-6506	22	3	by	by	ADP
ejpam-6506	22	4	-	-	PUNCT
ejpam-6506	22	5	nc	nc	PROPN
ejpam-6506	22	6	4.0	4.0	NUM
ejpam-6506	22	7	)	)	PUNCT
ejpam-6506	22	8	m.	m.	NOUN
ejpam-6506	22	9	f.	f.	PROPN
ejpam-6506	22	10	ansori	ansori	PROPN
ejpam-6506	22	11	et	et	PROPN
ejpam-6506	22	12	al	al	PROPN
ejpam-6506	22	13	.	.	PUNCT
ejpam-6506	22	14	/	/	SYM
ejpam-6506	22	15	eur	eur	PROPN
ejpam-6506	22	16	.	.	PUNCT
ejpam-6506	23	1	j.	j.	PROPN
ejpam-6506	23	2	pure	pure	PROPN
ejpam-6506	23	3	appl	appl	PROPN
ejpam-6506	23	4	.	.	PROPN
ejpam-6506	23	5	math	math	PROPN
ejpam-6506	23	6	,	,	PUNCT
ejpam-6506	23	7	18	18	NUM
ejpam-6506	23	8	(	(	PUNCT
ejpam-6506	23	9	4	4	NUM
ejpam-6506	23	10	)	)	PUNCT
ejpam-6506	23	11	(	(	PUNCT
ejpam-6506	23	12	2025	2025	NUM
ejpam-6506	23	13	)	)	PUNCT
ejpam-6506	23	14	,	,	PUNCT
ejpam-6506	23	15	6506	6506	NUM
ejpam-6506	23	16	2	2	NUM
ejpam-6506	23	17	of	of	ADP
ejpam-6506	23	18	27	27	NUM
ejpam-6506	23	19	both	both	CCONJ
ejpam-6506	23	20	standard	standard	ADJ
ejpam-6506	23	21	and	and	CCONJ
ejpam-6506	23	22	non	non	ADJ
ejpam-6506	23	23	-	-	ADJ
ejpam-6506	23	24	standard	standard	ADJ
ejpam-6506	23	25	difference	difference	NOUN
ejpam-6506	23	26	schemes	scheme	NOUN
ejpam-6506	23	27	.	.	PUNCT
ejpam-6506	24	1	these	these	DET
ejpam-6506	24	2	approaches	approach	NOUN
ejpam-6506	24	3	provide	provide	VERB
ejpam-6506	24	4	insights	insight	NOUN
ejpam-6506	24	5	into	into	ADP
ejpam-6506	24	6	their	their	PRON
ejpam-6506	24	7	complex	complex	ADJ
ejpam-6506	24	8	behavior	behavior	NOUN
ejpam-6506	24	9	and	and	CCONJ
ejpam-6506	24	10	help	help	VERB
ejpam-6506	24	11	bridge	bridge	PROPN
ejpam-6506	24	12	mathematical	mathematical	ADJ
ejpam-6506	24	13	analyses	analysis	NOUN
ejpam-6506	24	14	with	with	ADP
ejpam-6506	24	15	potential	potential	ADJ
ejpam-6506	24	16	realworld	realworld	PROPN
ejpam-6506	24	17	applications	application	NOUN
ejpam-6506	24	18	[	[	X
ejpam-6506	24	19	15	15	NUM
ejpam-6506	24	20	,	,	PUNCT
ejpam-6506	24	21	16	16	NUM
ejpam-6506	24	22	]	]	PUNCT
ejpam-6506	24	23	.	.	PUNCT
ejpam-6506	25	1	among	among	ADP
ejpam-6506	25	2	the	the	DET
ejpam-6506	25	3	many	many	ADJ
ejpam-6506	25	4	chaotic	chaotic	ADJ
ejpam-6506	25	5	systems	system	NOUN
ejpam-6506	25	6	,	,	PUNCT
ejpam-6506	25	7	an	an	DET
ejpam-6506	25	8	especially	especially	ADV
ejpam-6506	25	9	intriguing	intriguing	ADJ
ejpam-6506	25	10	class	class	NOUN
ejpam-6506	25	11	is	be	AUX
ejpam-6506	25	12	those	those	PRON
ejpam-6506	25	13	without	without	ADP
ejpam-6506	25	14	equilibria	equilibrium	NOUN
ejpam-6506	25	15	.	.	PUNCT
ejpam-6506	26	1	jafari	jafari	PROPN
ejpam-6506	26	2	[	[	X
ejpam-6506	26	3	14	14	NUM
ejpam-6506	26	4	]	]	PUNCT
ejpam-6506	26	5	conducted	conduct	VERB
ejpam-6506	26	6	a	a	DET
ejpam-6506	26	7	comprehensive	comprehensive	ADJ
ejpam-6506	26	8	investigation	investigation	NOUN
ejpam-6506	26	9	of	of	ADP
ejpam-6506	26	10	various	various	ADJ
ejpam-6506	26	11	instances	instance	NOUN
ejpam-6506	26	12	of	of	ADP
ejpam-6506	26	13	threedimensional	threedimensional	ADJ
ejpam-6506	26	14	continuous	continuous	ADJ
ejpam-6506	26	15	-	-	PUNCT
ejpam-6506	26	16	time	time	NOUN
ejpam-6506	26	17	systems	system	NOUN
ejpam-6506	26	18	without	without	ADP
ejpam-6506	26	19	equilibria	equilibrium	NOUN
ejpam-6506	26	20	,	,	PUNCT
ejpam-6506	26	21	each	each	PRON
ejpam-6506	26	22	exhibiting	exhibit	VERB
ejpam-6506	26	23	quadratic	quadratic	ADJ
ejpam-6506	26	24	nonlinearities	nonlinearitie	NOUN
ejpam-6506	26	25	in	in	ADP
ejpam-6506	26	26	a	a	DET
ejpam-6506	26	27	relatively	relatively	ADV
ejpam-6506	26	28	simple	simple	ADJ
ejpam-6506	26	29	form	form	NOUN
ejpam-6506	26	30	.	.	PUNCT
ejpam-6506	27	1	a	a	DET
ejpam-6506	27	2	total	total	NOUN
ejpam-6506	27	3	of	of	ADP
ejpam-6506	27	4	17	17	NUM
ejpam-6506	27	5	such	such	ADJ
ejpam-6506	27	6	systems	system	NOUN
ejpam-6506	27	7	were	be	AUX
ejpam-6506	27	8	identified	identify	VERB
ejpam-6506	27	9	and	and	CCONJ
ejpam-6506	27	10	labeled	label	VERB
ejpam-6506	27	11	ne1	ne1	PROPN
ejpam-6506	27	12	through	through	ADP
ejpam-6506	27	13	ne17	ne17	PROPN
ejpam-6506	27	14	,	,	PUNCT
ejpam-6506	27	15	where	where	SCONJ
ejpam-6506	27	16	”	"	PUNCT
ejpam-6506	27	17	ne	ne	PROPN
ejpam-6506	27	18	”	"	PUNCT
ejpam-6506	27	19	denotes	denote	NOUN
ejpam-6506	27	20	”	"	PUNCT
ejpam-6506	27	21	no	no	DET
ejpam-6506	27	22	equilibria	equilibria	NOUN
ejpam-6506	27	23	.	.	PUNCT
ejpam-6506	27	24	”	"	PUNCT
ejpam-6506	28	1	in	in	ADP
ejpam-6506	28	2	this	this	DET
ejpam-6506	28	3	study	study	NOUN
ejpam-6506	28	4	,	,	PUNCT
ejpam-6506	28	5	we	we	PRON
ejpam-6506	28	6	consider	consider	VERB
ejpam-6506	28	7	model	model	NOUN
ejpam-6506	28	8	ne11	ne11	PROPN
ejpam-6506	28	9	in	in	ADP
ejpam-6506	28	10	[	[	X
ejpam-6506	28	11	14	14	NUM
ejpam-6506	28	12	]	]	PUNCT
ejpam-6506	28	13	for	for	ADP
ejpam-6506	28	14	further	further	ADJ
ejpam-6506	28	15	discrete	discrete	ADJ
ejpam-6506	28	16	-	-	PUNCT
ejpam-6506	28	17	time	time	NOUN
ejpam-6506	28	18	dynamic	dynamic	ADJ
ejpam-6506	28	19	analysis	analysis	NOUN
ejpam-6506	28	20	,	,	PUNCT
ejpam-6506	28	21	which	which	PRON
ejpam-6506	28	22	is	be	AUX
ejpam-6506	28	23	given	give	VERB
ejpam-6506	28	24	by	by	ADP
ejpam-6506	28	25	the	the	DET
ejpam-6506	28	26	following	follow	VERB
ejpam-6506	28	27	dynamical	dynamical	ADJ
ejpam-6506	28	28	system	system	NOUN
ejpam-6506	28	29			PRON
ejpam-6506	28	30	ẋ	ẋ	PUNCT
ejpam-6506	29	1	=	=	PUNCT
ejpam-6506	29	2	y	y	PROPN
ejpam-6506	29	3	ẏ	ẏ	NOUN
ejpam-6506	29	4	=	=	PUNCT
ejpam-6506	30	1	−x+	−x+	X
ejpam-6506	30	2	z	z	NOUN
ejpam-6506	30	3	ż	ż	NOUN
ejpam-6506	31	1	=	=	PUNCT
ejpam-6506	32	1	z	z	NOUN
ejpam-6506	33	1	−	−	NOUN
ejpam-6506	33	2	2xy	2xy	ADJ
ejpam-6506	33	3	−	−	ADP
ejpam-6506	34	1	1.8xz	1.8xz	NUM
ejpam-6506	34	2	−	−	NOUN
ejpam-6506	34	3	a	a	PRON
ejpam-6506	34	4	,	,	PUNCT
ejpam-6506	34	5	(	(	PUNCT
ejpam-6506	34	6	1	1	X
ejpam-6506	34	7	)	)	PUNCT
ejpam-6506	34	8	where	where	SCONJ
ejpam-6506	34	9	(	(	PUNCT
ejpam-6506	34	10	x0	x0	PROPN
ejpam-6506	34	11	,	,	PUNCT
ejpam-6506	34	12	y0	y0	PROPN
ejpam-6506	34	13	,	,	PUNCT
ejpam-6506	34	14	z0	z0	PROPN
ejpam-6506	34	15	)	)	PUNCT
ejpam-6506	34	16	=	=	PUNCT
ejpam-6506	35	1	(	(	PUNCT
ejpam-6506	35	2	0	0	NUM
ejpam-6506	35	3	,	,	PUNCT
ejpam-6506	35	4	1.6	1.6	NUM
ejpam-6506	35	5	,	,	PUNCT
ejpam-6506	35	6	3	3	NUM
ejpam-6506	35	7	)	)	PUNCT
ejpam-6506	35	8	.	.	PUNCT
ejpam-6506	36	1	jafari	jafari	PROPN
ejpam-6506	36	2	[	[	X
ejpam-6506	36	3	14	14	NUM
ejpam-6506	36	4	]	]	PUNCT
ejpam-6506	36	5	showed	show	VERB
ejpam-6506	36	6	that	that	DET
ejpam-6506	36	7	model	model	NOUN
ejpam-6506	36	8	(	(	PUNCT
ejpam-6506	36	9	1	1	NUM
ejpam-6506	36	10	)	)	PUNCT
ejpam-6506	36	11	with	with	ADP
ejpam-6506	36	12	a	a	DET
ejpam-6506	36	13	=	=	SYM
ejpam-6506	36	14	1	1	NUM
ejpam-6506	36	15	exhibits	exhibit	VERB
ejpam-6506	36	16	chaotic	chaotic	ADJ
ejpam-6506	36	17	behavior	behavior	NOUN
ejpam-6506	36	18	.	.	PUNCT
ejpam-6506	37	1	beyond	beyond	ADP
ejpam-6506	37	2	its	its	PRON
ejpam-6506	37	3	theoretical	theoretical	ADJ
ejpam-6506	37	4	interest	interest	NOUN
ejpam-6506	37	5	,	,	PUNCT
ejpam-6506	37	6	the	the	DET
ejpam-6506	37	7	study	study	NOUN
ejpam-6506	37	8	of	of	ADP
ejpam-6506	37	9	such	such	ADJ
ejpam-6506	37	10	systems	system	NOUN
ejpam-6506	37	11	is	be	AUX
ejpam-6506	37	12	motivated	motivate	VERB
ejpam-6506	37	13	by	by	ADP
ejpam-6506	37	14	practical	practical	ADJ
ejpam-6506	37	15	applications	application	NOUN
ejpam-6506	37	16	.	.	PUNCT
ejpam-6506	38	1	three	three	NUM
ejpam-6506	38	2	-	-	PUNCT
ejpam-6506	38	3	dimensional	dimensional	ADJ
ejpam-6506	38	4	systems	system	NOUN
ejpam-6506	38	5	without	without	ADP
ejpam-6506	38	6	equilibrium	equilibrium	NOUN
ejpam-6506	38	7	points	point	NOUN
ejpam-6506	38	8	,	,	PUNCT
ejpam-6506	38	9	such	such	ADJ
ejpam-6506	38	10	as	as	ADP
ejpam-6506	38	11	ne11	ne11	PROPN
ejpam-6506	38	12	,	,	PUNCT
ejpam-6506	38	13	also	also	ADV
ejpam-6506	38	14	have	have	VERB
ejpam-6506	38	15	broad	broad	ADJ
ejpam-6506	38	16	potential	potential	NOUN
ejpam-6506	38	17	in	in	ADP
ejpam-6506	38	18	modern	modern	ADJ
ejpam-6506	38	19	technology	technology	NOUN
ejpam-6506	38	20	applications	application	NOUN
ejpam-6506	38	21	.	.	PUNCT
ejpam-6506	39	1	for	for	ADP
ejpam-6506	39	2	example	example	NOUN
ejpam-6506	39	3	,	,	PUNCT
ejpam-6506	39	4	gong	gong	PROPN
ejpam-6506	39	5	et	et	PROPN
ejpam-6506	39	6	al	al	PROPN
ejpam-6506	39	7	.	.	PUNCT
ejpam-6506	40	1	[	[	X
ejpam-6506	40	2	17	17	NUM
ejpam-6506	40	3	]	]	PUNCT
ejpam-6506	40	4	developed	develop	VERB
ejpam-6506	40	5	a	a	DET
ejpam-6506	40	6	chaos	chaos	NOUN
ejpam-6506	40	7	system	system	NOUN
ejpam-6506	40	8	with	with	ADP
ejpam-6506	40	9	hidden	hidden	ADJ
ejpam-6506	40	10	attractors	attractor	NOUN
ejpam-6506	40	11	,	,	PUNCT
ejpam-6506	40	12	which	which	PRON
ejpam-6506	40	13	was	be	AUX
ejpam-6506	40	14	applied	apply	VERB
ejpam-6506	40	15	to	to	ADP
ejpam-6506	40	16	random	random	ADJ
ejpam-6506	40	17	-	-	PUNCT
ejpam-6506	40	18	number	number	NOUN
ejpam-6506	40	19	generator	generator	NOUN
ejpam-6506	40	20	-	-	PUNCT
ejpam-6506	40	21	based	base	VERB
ejpam-6506	40	22	image	image	NOUN
ejpam-6506	40	23	encryption	encryption	NOUN
ejpam-6506	40	24	,	,	PUNCT
ejpam-6506	40	25	thereby	thereby	ADV
ejpam-6506	40	26	proving	prove	VERB
ejpam-6506	40	27	its	its	PRON
ejpam-6506	40	28	direct	direct	ADJ
ejpam-6506	40	29	relevance	relevance	NOUN
ejpam-6506	40	30	to	to	ADP
ejpam-6506	40	31	digital	digital	ADJ
ejpam-6506	40	32	security	security	NOUN
ejpam-6506	40	33	.	.	PUNCT
ejpam-6506	41	1	in	in	ADP
ejpam-6506	41	2	the	the	DET
ejpam-6506	41	3	field	field	NOUN
ejpam-6506	41	4	of	of	ADP
ejpam-6506	41	5	applied	applied	ADJ
ejpam-6506	41	6	physics	physic	NOUN
ejpam-6506	41	7	,	,	PUNCT
ejpam-6506	41	8	djorwe	djorwe	NOUN
ejpam-6506	41	9	et	et	PROPN
ejpam-6506	41	10	al	al	PROPN
ejpam-6506	41	11	.	.	PUNCT
ejpam-6506	42	1	[	[	X
ejpam-6506	42	2	18	18	NUM
ejpam-6506	42	3	]	]	PUNCT
ejpam-6506	42	4	explored	explore	VERB
ejpam-6506	42	5	hidden	hidden	ADJ
ejpam-6506	42	6	attractors	attractor	NOUN
ejpam-6506	42	7	in	in	ADP
ejpam-6506	42	8	optomechanical	optomechanical	ADJ
ejpam-6506	42	9	systems	system	NOUN
ejpam-6506	42	10	,	,	PUNCT
ejpam-6506	42	11	whereas	whereas	SCONJ
ejpam-6506	42	12	kuznetsov	kuznetsov	PROPN
ejpam-6506	42	13	et	et	PROPN
ejpam-6506	42	14	al	al	PROPN
ejpam-6506	42	15	.	.	PUNCT
ejpam-6506	43	1	[	[	X
ejpam-6506	43	2	19	19	NUM
ejpam-6506	43	3	]	]	PUNCT
ejpam-6506	43	4	presented	present	VERB
ejpam-6506	43	5	a	a	DET
ejpam-6506	43	6	theoretical	theoretical	ADJ
ejpam-6506	43	7	and	and	CCONJ
ejpam-6506	43	8	experimental	experimental	ADJ
ejpam-6506	43	9	approach	approach	NOUN
ejpam-6506	43	10	for	for	ADP
ejpam-6506	43	11	hidden	hidden	ADJ
ejpam-6506	43	12	attractors	attractor	NOUN
ejpam-6506	43	13	in	in	ADP
ejpam-6506	43	14	chua	chua	PROPN
ejpam-6506	43	15	’s	’s	PART
ejpam-6506	43	16	circuits	circuit	NOUN
ejpam-6506	43	17	.	.	PUNCT
ejpam-6506	44	1	furthermore	furthermore	ADV
ejpam-6506	44	2	,	,	PUNCT
ejpam-6506	44	3	yang	yang	PROPN
ejpam-6506	44	4	and	and	CCONJ
ejpam-6506	44	5	lai	lai	X
ejpam-6506	45	1	[	[	X
ejpam-6506	45	2	20	20	NUM
ejpam-6506	45	3	]	]	PUNCT
ejpam-6506	45	4	designed	design	VERB
ejpam-6506	45	5	a	a	DET
ejpam-6506	45	6	discrete	discrete	ADJ
ejpam-6506	45	7	memristor	memristor	NOUN
ejpam-6506	45	8	-	-	PUNCT
ejpam-6506	45	9	based	base	VERB
ejpam-6506	45	10	hyperchaotic	hyperchaotic	ADJ
ejpam-6506	45	11	map	map	NOUN
ejpam-6506	45	12	and	and	CCONJ
ejpam-6506	45	13	demonstrated	demonstrate	VERB
ejpam-6506	45	14	its	its	PRON
ejpam-6506	45	15	potential	potential	NOUN
ejpam-6506	45	16	in	in	ADP
ejpam-6506	45	17	electronic	electronic	ADJ
ejpam-6506	45	18	and	and	CCONJ
ejpam-6506	45	19	neuromorphic	neuromorphic	ADJ
ejpam-6506	45	20	designs	design	NOUN
ejpam-6506	45	21	.	.	PUNCT
ejpam-6506	46	1	from	from	ADP
ejpam-6506	46	2	a	a	DET
ejpam-6506	46	3	methodological	methodological	ADJ
ejpam-6506	46	4	perspective	perspective	NOUN
ejpam-6506	46	5	,	,	PUNCT
ejpam-6506	46	6	maaita	maaita	NOUN
ejpam-6506	46	7	and	and	CCONJ
ejpam-6506	46	8	prousalis	prousali	NOUN
ejpam-6506	46	9	[	[	X
ejpam-6506	46	10	21	21	NUM
ejpam-6506	46	11	]	]	PUNCT
ejpam-6506	46	12	compared	compare	VERB
ejpam-6506	46	13	four	four	NUM
ejpam-6506	46	14	chaos	chaos	NOUN
ejpam-6506	46	15	indicators	indicator	NOUN
ejpam-6506	46	16	in	in	ADP
ejpam-6506	46	17	systems	system	NOUN
ejpam-6506	46	18	with	with	ADP
ejpam-6506	46	19	hidden	hidden	ADJ
ejpam-6506	46	20	attractors	attractor	NOUN
ejpam-6506	46	21	,	,	PUNCT
ejpam-6506	46	22	which	which	PRON
ejpam-6506	46	23	are	be	AUX
ejpam-6506	46	24	useful	useful	ADJ
ejpam-6506	46	25	for	for	ADP
ejpam-6506	46	26	the	the	DET
ejpam-6506	46	27	numerical	numerical	ADJ
ejpam-6506	46	28	validation	validation	NOUN
ejpam-6506	46	29	of	of	ADP
ejpam-6506	46	30	discrete	discrete	ADJ
ejpam-6506	46	31	models	model	NOUN
ejpam-6506	46	32	.	.	PUNCT
ejpam-6506	47	1	most	most	ADV
ejpam-6506	47	2	recently	recently	ADV
ejpam-6506	47	3	,	,	PUNCT
ejpam-6506	47	4	a	a	DET
ejpam-6506	47	5	study	study	NOUN
ejpam-6506	47	6	on	on	ADP
ejpam-6506	47	7	multi	multi	ADJ
ejpam-6506	47	8	-	-	ADJ
ejpam-6506	47	9	scroll	scroll	ADJ
ejpam-6506	47	10	hidden	hide	VERB
ejpam-6506	47	11	attractors	attractor	NOUN
ejpam-6506	47	12	[	[	X
ejpam-6506	47	13	22	22	NUM
ejpam-6506	47	14	]	]	PUNCT
ejpam-6506	47	15	showed	show	VERB
ejpam-6506	47	16	great	great	ADJ
ejpam-6506	47	17	potential	potential	NOUN
ejpam-6506	47	18	in	in	ADP
ejpam-6506	47	19	cryptography	cryptography	NOUN
ejpam-6506	47	20	and	and	CCONJ
ejpam-6506	47	21	information	information	NOUN
ejpam-6506	47	22	security	security	NOUN
ejpam-6506	47	23	.	.	PUNCT
ejpam-6506	48	1	thus	thus	ADV
ejpam-6506	48	2	,	,	PUNCT
ejpam-6506	48	3	it	it	PRON
ejpam-6506	48	4	is	be	AUX
ejpam-6506	48	5	interesting	interesting	ADJ
ejpam-6506	48	6	to	to	PART
ejpam-6506	48	7	explore	explore	VERB
ejpam-6506	48	8	the	the	DET
ejpam-6506	48	9	ne11	ne11	PROPN
ejpam-6506	48	10	model	model	NOUN
ejpam-6506	48	11	in	in	ADP
ejpam-6506	48	12	a	a	DET
ejpam-6506	48	13	discrete	discrete	ADJ
ejpam-6506	48	14	context	context	NOUN
ejpam-6506	48	15	,	,	PUNCT
ejpam-6506	48	16	not	not	PART
ejpam-6506	48	17	only	only	ADV
ejpam-6506	48	18	from	from	ADP
ejpam-6506	48	19	a	a	DET
ejpam-6506	48	20	mathematical	mathematical	ADJ
ejpam-6506	48	21	point	point	NOUN
ejpam-6506	48	22	of	of	ADP
ejpam-6506	48	23	view	view	NOUN
ejpam-6506	48	24	but	but	CCONJ
ejpam-6506	48	25	also	also	ADV
ejpam-6506	48	26	from	from	ADP
ejpam-6506	48	27	a	a	DET
ejpam-6506	48	28	real	real	ADJ
ejpam-6506	48	29	-	-	PUNCT
ejpam-6506	48	30	world	world	NOUN
ejpam-6506	48	31	application	application	NOUN
ejpam-6506	48	32	perspective	perspective	NOUN
ejpam-6506	48	33	.	.	PUNCT
ejpam-6506	49	1	a	a	DET
ejpam-6506	49	2	key	key	ADJ
ejpam-6506	49	3	feature	feature	NOUN
ejpam-6506	49	4	that	that	PRON
ejpam-6506	49	5	links	link	VERB
ejpam-6506	49	6	both	both	DET
ejpam-6506	49	7	theoretical	theoretical	ADJ
ejpam-6506	49	8	analysis	analysis	NOUN
ejpam-6506	49	9	and	and	CCONJ
ejpam-6506	49	10	technological	technological	ADJ
ejpam-6506	49	11	applications	application	NOUN
ejpam-6506	49	12	is	be	AUX
ejpam-6506	49	13	the	the	DET
ejpam-6506	49	14	notion	notion	NOUN
ejpam-6506	49	15	of	of	ADP
ejpam-6506	49	16	hidden	hidden	ADJ
ejpam-6506	49	17	attractors	attractor	NOUN
ejpam-6506	49	18	that	that	PRON
ejpam-6506	49	19	are	be	AUX
ejpam-6506	49	20	not	not	PART
ejpam-6506	49	21	linked	link	VERB
ejpam-6506	49	22	to	to	ADP
ejpam-6506	49	23	equilibrium	equilibrium	NOUN
ejpam-6506	49	24	[	[	X
ejpam-6506	49	25	23	23	NUM
ejpam-6506	49	26	]	]	PUNCT
ejpam-6506	49	27	.	.	PUNCT
ejpam-6506	50	1	these	these	DET
ejpam-6506	50	2	attractors	attractor	NOUN
ejpam-6506	50	3	highlight	highlight	VERB
ejpam-6506	50	4	the	the	DET
ejpam-6506	50	5	richness	richness	NOUN
ejpam-6506	50	6	of	of	ADP
ejpam-6506	50	7	dynamics	dynamic	NOUN
ejpam-6506	50	8	that	that	PRON
ejpam-6506	50	9	can	can	AUX
ejpam-6506	50	10	emerge	emerge	VERB
ejpam-6506	50	11	without	without	ADP
ejpam-6506	50	12	fixed	fix	VERB
ejpam-6506	50	13	points	point	NOUN
ejpam-6506	50	14	.	.	PUNCT
ejpam-6506	51	1	pham	pham	PROPN
ejpam-6506	52	1	[	[	X
ejpam-6506	52	2	2	2	NUM
ejpam-6506	52	3	]	]	PUNCT
ejpam-6506	52	4	also	also	ADV
ejpam-6506	52	5	examined	examine	VERB
ejpam-6506	52	6	hidden	hidden	ADJ
ejpam-6506	52	7	attractors	attractor	NOUN
ejpam-6506	52	8	in	in	ADP
ejpam-6506	52	9	discrete	discrete	ADJ
ejpam-6506	52	10	-	-	PUNCT
ejpam-6506	52	11	time	time	NOUN
ejpam-6506	52	12	systems	system	NOUN
ejpam-6506	52	13	and	and	CCONJ
ejpam-6506	52	14	showed	show	VERB
ejpam-6506	52	15	that	that	SCONJ
ejpam-6506	52	16	complex	complex	ADJ
ejpam-6506	52	17	behavior	behavior	NOUN
ejpam-6506	52	18	may	may	AUX
ejpam-6506	52	19	appear	appear	VERB
ejpam-6506	52	20	even	even	ADV
ejpam-6506	52	21	when	when	SCONJ
ejpam-6506	52	22	stable	stable	ADJ
ejpam-6506	52	23	equilibria	equilibrium	NOUN
ejpam-6506	52	24	exist	exist	VERB
ejpam-6506	52	25	[	[	X
ejpam-6506	52	26	24	24	NUM
ejpam-6506	52	27	]	]	PUNCT
ejpam-6506	52	28	.	.	PUNCT
ejpam-6506	53	1	this	this	DET
ejpam-6506	53	2	phenomenon	phenomenon	NOUN
ejpam-6506	53	3	has	have	AUX
ejpam-6506	53	4	been	be	AUX
ejpam-6506	53	5	documented	document	VERB
ejpam-6506	53	6	across	across	ADP
ejpam-6506	53	7	various	various	ADJ
ejpam-6506	53	8	dimensions	dimension	NOUN
ejpam-6506	53	9	,	,	PUNCT
ejpam-6506	53	10	ranging	range	VERB
ejpam-6506	53	11	from	from	ADP
ejpam-6506	53	12	three	three	NUM
ejpam-6506	53	13	-	-	PUNCT
ejpam-6506	53	14	dimensional	dimensional	ADJ
ejpam-6506	53	15	systems	system	NOUN
ejpam-6506	53	16	[	[	X
ejpam-6506	53	17	24	24	NUM
ejpam-6506	53	18	]	]	PUNCT
ejpam-6506	53	19	to	to	ADP
ejpam-6506	53	20	more	more	ADV
ejpam-6506	53	21	complex	complex	ADJ
ejpam-6506	53	22	higher	higher	ADV
ejpam-6506	53	23	-	-	PUNCT
ejpam-6506	53	24	dimensional	dimensional	ADJ
ejpam-6506	53	25	hyperchaotic	hyperchaotic	ADJ
ejpam-6506	53	26	systems	system	NOUN
ejpam-6506	53	27	[	[	X
ejpam-6506	53	28	25	25	NUM
ejpam-6506	53	29	]	]	PUNCT
ejpam-6506	53	30	.	.	PUNCT
ejpam-6506	54	1	to	to	PART
ejpam-6506	54	2	capture	capture	VERB
ejpam-6506	54	3	such	such	ADJ
ejpam-6506	54	4	phenomena	phenomenon	NOUN
ejpam-6506	54	5	in	in	ADP
ejpam-6506	54	6	discrete	discrete	ADJ
ejpam-6506	54	7	-	-	PUNCT
ejpam-6506	54	8	time	time	NOUN
ejpam-6506	54	9	,	,	PUNCT
ejpam-6506	54	10	appropriate	appropriate	ADJ
ejpam-6506	54	11	discretization	discretization	NOUN
ejpam-6506	54	12	schemes	scheme	NOUN
ejpam-6506	54	13	are	be	AUX
ejpam-6506	54	14	needed	need	VERB
ejpam-6506	54	15	.	.	PUNCT
ejpam-6506	55	1	in	in	ADP
ejpam-6506	55	2	this	this	DET
ejpam-6506	55	3	study	study	NOUN
ejpam-6506	55	4	,	,	PUNCT
ejpam-6506	55	5	two	two	NUM
ejpam-6506	55	6	distinct	distinct	ADJ
ejpam-6506	55	7	methodologies	methodology	NOUN
ejpam-6506	55	8	are	be	AUX
ejpam-6506	55	9	employed	employ	VERB
ejpam-6506	55	10	to	to	PART
ejpam-6506	55	11	transform	transform	VERB
ejpam-6506	55	12	the	the	DET
ejpam-6506	55	13	continuoustime	continuoustime	ADJ
ejpam-6506	55	14	model	model	NOUN
ejpam-6506	55	15	(	(	PUNCT
ejpam-6506	55	16	1	1	NUM
ejpam-6506	55	17	)	)	PUNCT
ejpam-6506	55	18	into	into	ADP
ejpam-6506	55	19	a	a	DET
ejpam-6506	55	20	discrete	discrete	ADJ
ejpam-6506	55	21	-	-	PUNCT
ejpam-6506	55	22	time	time	NOUN
ejpam-6506	55	23	model	model	NOUN
ejpam-6506	55	24	.	.	PUNCT
ejpam-6506	56	1	the	the	DET
ejpam-6506	56	2	first	first	ADJ
ejpam-6506	56	3	methodology	methodology	NOUN
ejpam-6506	56	4	is	be	AUX
ejpam-6506	56	5	the	the	DET
ejpam-6506	56	6	standard	standard	ADJ
ejpam-6506	56	7	difference	difference	NOUN
ejpam-6506	56	8	scheme	scheme	NOUN
ejpam-6506	56	9	,	,	PUNCT
ejpam-6506	56	10	commonly	commonly	ADV
ejpam-6506	56	11	known	know	VERB
ejpam-6506	56	12	as	as	ADP
ejpam-6506	56	13	the	the	DET
ejpam-6506	56	14	euler	euler	PROPN
ejpam-6506	56	15	scheme	scheme	NOUN
ejpam-6506	56	16	.	.	PUNCT
ejpam-6506	57	1	the	the	DET
ejpam-6506	57	2	second	second	ADJ
ejpam-6506	57	3	methodology	methodology	NOUN
ejpam-6506	57	4	is	be	AUX
ejpam-6506	57	5	a	a	DET
ejpam-6506	57	6	nonstandard	nonstandard	ADJ
ejpam-6506	57	7	difference	difference	NOUN
ejpam-6506	57	8	scheme	scheme	NOUN
ejpam-6506	57	9	,	,	PUNCT
ejpam-6506	57	10	which	which	PRON
ejpam-6506	57	11	preserves	preserve	VERB
ejpam-6506	57	12	the	the	DET
ejpam-6506	57	13	same	same	ADJ
ejpam-6506	57	14	equilibria	equilibrium	NOUN
ejpam-6506	57	15	as	as	ADP
ejpam-6506	57	16	the	the	DET
ejpam-6506	57	17	euler	euler	NOUN
ejpam-6506	57	18	method	method	NOUN
ejpam-6506	57	19	but	but	CCONJ
ejpam-6506	57	20	modifies	modify	VERB
ejpam-6506	57	21	m.	m.	NOUN
ejpam-6506	57	22	f.	f.	PROPN
ejpam-6506	57	23	ansori	ansori	PROPN
ejpam-6506	57	24	et	et	PROPN
ejpam-6506	57	25	al	al	PROPN
ejpam-6506	57	26	.	.	PUNCT
ejpam-6506	57	27	/	/	SYM
ejpam-6506	57	28	eur	eur	PROPN
ejpam-6506	57	29	.	.	PUNCT
ejpam-6506	58	1	j.	j.	PROPN
ejpam-6506	58	2	pure	pure	PROPN
ejpam-6506	58	3	appl	appl	PROPN
ejpam-6506	58	4	.	.	PROPN
ejpam-6506	58	5	math	math	PROPN
ejpam-6506	58	6	,	,	PUNCT
ejpam-6506	58	7	18	18	NUM
ejpam-6506	58	8	(	(	PUNCT
ejpam-6506	58	9	4	4	NUM
ejpam-6506	58	10	)	)	PUNCT
ejpam-6506	58	11	(	(	PUNCT
ejpam-6506	58	12	2025	2025	NUM
ejpam-6506	58	13	)	)	PUNCT
ejpam-6506	58	14	,	,	PUNCT
ejpam-6506	58	15	6506	6506	NUM
ejpam-6506	58	16	3	3	NUM
ejpam-6506	58	17	of	of	ADP
ejpam-6506	58	18	27	27	NUM
ejpam-6506	58	19	the	the	DET
ejpam-6506	58	20	discretization	discretization	NOUN
ejpam-6506	58	21	to	to	PART
ejpam-6506	58	22	improve	improve	VERB
ejpam-6506	58	23	stability	stability	NOUN
ejpam-6506	58	24	.	.	PUNCT
ejpam-6506	59	1	nonstandard	nonstandard	ADJ
ejpam-6506	59	2	difference	difference	NOUN
ejpam-6506	59	3	schemes	scheme	NOUN
ejpam-6506	59	4	are	be	AUX
ejpam-6506	59	5	pivotal	pivotal	ADJ
ejpam-6506	59	6	in	in	ADP
ejpam-6506	59	7	the	the	DET
ejpam-6506	59	8	numerical	numerical	ADJ
ejpam-6506	59	9	analysis	analysis	NOUN
ejpam-6506	59	10	of	of	ADP
ejpam-6506	59	11	dynamic	dynamic	ADJ
ejpam-6506	59	12	systems	system	NOUN
ejpam-6506	59	13	.	.	PUNCT
ejpam-6506	60	1	recent	recent	ADJ
ejpam-6506	60	2	research	research	NOUN
ejpam-6506	60	3	has	have	AUX
ejpam-6506	60	4	focused	focus	VERB
ejpam-6506	60	5	on	on	ADP
ejpam-6506	60	6	the	the	DET
ejpam-6506	60	7	development	development	NOUN
ejpam-6506	60	8	of	of	ADP
ejpam-6506	60	9	efficient	efficient	ADJ
ejpam-6506	60	10	non	non	ADJ
ejpam-6506	60	11	-	-	ADJ
ejpam-6506	60	12	standard	standard	ADJ
ejpam-6506	60	13	finitedifference	finitedifference	NOUN
ejpam-6506	60	14	schemes	scheme	NOUN
ejpam-6506	60	15	tailored	tailor	VERB
ejpam-6506	60	16	to	to	ADP
ejpam-6506	60	17	various	various	ADJ
ejpam-6506	60	18	classes	class	NOUN
ejpam-6506	60	19	of	of	ADP
ejpam-6506	60	20	dynamic	dynamic	ADJ
ejpam-6506	60	21	systems	system	NOUN
ejpam-6506	60	22	.	.	PUNCT
ejpam-6506	61	1	for	for	ADP
ejpam-6506	61	2	instance	instance	NOUN
ejpam-6506	61	3	,	,	PUNCT
ejpam-6506	61	4	nonlaopon	nonlaopon	ADP
ejpam-6506	61	5	et	et	PROPN
ejpam-6506	61	6	al	al	PROPN
ejpam-6506	61	7	.	.	PUNCT
ejpam-6506	62	1	[	[	X
ejpam-6506	62	2	26	26	NUM
ejpam-6506	62	3	]	]	PUNCT
ejpam-6506	62	4	proposed	propose	VERB
ejpam-6506	62	5	an	an	DET
ejpam-6506	62	6	nsfd	nsfd	ADJ
ejpam-6506	62	7	approach	approach	NOUN
ejpam-6506	62	8	for	for	ADP
ejpam-6506	62	9	predator	predator	NOUN
ejpam-6506	62	10	–	–	PUNCT
ejpam-6506	62	11	prey	prey	NOUN
ejpam-6506	62	12	models	model	NOUN
ejpam-6506	62	13	,	,	PUNCT
ejpam-6506	62	14	whereas	whereas	SCONJ
ejpam-6506	62	15	din	din	VERB
ejpam-6506	62	16	et	et	PROPN
ejpam-6506	62	17	al	al	PROPN
ejpam-6506	62	18	.	.	PUNCT
ejpam-6506	63	1	[	[	X
ejpam-6506	63	2	27	27	NUM
ejpam-6506	63	3	]	]	PUNCT
ejpam-6506	63	4	applied	apply	VERB
ejpam-6506	63	5	this	this	DET
ejpam-6506	63	6	method	method	NOUN
ejpam-6506	63	7	to	to	ADP
ejpam-6506	63	8	both	both	CCONJ
ejpam-6506	63	9	classical	classical	ADJ
ejpam-6506	63	10	and	and	CCONJ
ejpam-6506	63	11	fractional	fractional	ADJ
ejpam-6506	63	12	-	-	PUNCT
ejpam-6506	63	13	order	order	NOUN
ejpam-6506	63	14	seivr	seivr	NOUN
ejpam-6506	63	15	epidemic	epidemic	NOUN
ejpam-6506	63	16	models	model	NOUN
ejpam-6506	63	17	.	.	PUNCT
ejpam-6506	64	1	kaur	kaur	PROPN
ejpam-6506	64	2	and	and	CCONJ
ejpam-6506	64	3	singh	singh	PROPN
ejpam-6506	65	1	[	[	X
ejpam-6506	65	2	28	28	NUM
ejpam-6506	65	3	]	]	PUNCT
ejpam-6506	65	4	introduced	introduce	VERB
ejpam-6506	65	5	a	a	DET
ejpam-6506	65	6	hybrid	hybrid	ADJ
ejpam-6506	65	7	scheme	scheme	NOUN
ejpam-6506	65	8	combining	combine	VERB
ejpam-6506	65	9	nsfd	nsfd	NOUN
ejpam-6506	65	10	with	with	ADP
ejpam-6506	65	11	a	a	DET
ejpam-6506	65	12	compact	compact	ADJ
ejpam-6506	65	13	finite	finite	ADJ
ejpam-6506	65	14	difference	difference	NOUN
ejpam-6506	65	15	method	method	NOUN
ejpam-6506	65	16	to	to	PART
ejpam-6506	65	17	solve	solve	VERB
ejpam-6506	65	18	the	the	DET
ejpam-6506	65	19	one	one	NUM
ejpam-6506	65	20	-	-	PUNCT
ejpam-6506	65	21	dimensional	dimensional	ADJ
ejpam-6506	65	22	burgers	burger	NOUN
ejpam-6506	65	23	’	'	PUNCT
ejpam-6506	65	24	equation	equation	NOUN
ejpam-6506	65	25	.	.	PUNCT
ejpam-6506	66	1	khan	khan	PROPN
ejpam-6506	66	2	et	et	PROPN
ejpam-6506	66	3	al	al	PROPN
ejpam-6506	66	4	.	.	PUNCT
ejpam-6506	67	1	[	[	X
ejpam-6506	67	2	29	29	NUM
ejpam-6506	67	3	]	]	PUNCT
ejpam-6506	67	4	investigated	investigate	VERB
ejpam-6506	67	5	covid-19	covid-19	PROPN
ejpam-6506	67	6	transmission	transmission	NOUN
ejpam-6506	67	7	dynamics	dynamic	NOUN
ejpam-6506	67	8	using	use	VERB
ejpam-6506	67	9	a	a	DET
ejpam-6506	67	10	nonstandard	nonstandard	ADJ
ejpam-6506	67	11	discretization	discretization	NOUN
ejpam-6506	67	12	framework	framework	NOUN
ejpam-6506	67	13	.	.	PUNCT
ejpam-6506	68	1	in	in	ADP
ejpam-6506	68	2	a	a	DET
ejpam-6506	68	3	related	relate	VERB
ejpam-6506	68	4	study	study	NOUN
ejpam-6506	68	5	,	,	PUNCT
ejpam-6506	68	6	gümüş	gümüş	NOUN
ejpam-6506	68	7	and	and	CCONJ
ejpam-6506	68	8	türk	türk	NOUN
ejpam-6506	68	9	[	[	X
ejpam-6506	68	10	30	30	NUM
ejpam-6506	68	11	]	]	PUNCT
ejpam-6506	68	12	analyzed	analyze	VERB
ejpam-6506	68	13	the	the	DET
ejpam-6506	68	14	behavior	behavior	NOUN
ejpam-6506	68	15	of	of	ADP
ejpam-6506	68	16	a	a	DET
ejpam-6506	68	17	hepatitis	hepatitis	NOUN
ejpam-6506	68	18	b	b	PROPN
ejpam-6506	68	19	epidemic	epidemic	NOUN
ejpam-6506	68	20	model	model	NOUN
ejpam-6506	68	21	and	and	CCONJ
ejpam-6506	68	22	developed	develop	VERB
ejpam-6506	68	23	an	an	DET
ejpam-6506	68	24	nsfd	nsfd	ADJ
ejpam-6506	68	25	scheme	scheme	NOUN
ejpam-6506	68	26	to	to	PART
ejpam-6506	68	27	capture	capture	VERB
ejpam-6506	68	28	its	its	PRON
ejpam-6506	68	29	dynamics	dynamic	NOUN
ejpam-6506	68	30	.	.	PUNCT
ejpam-6506	69	1	these	these	DET
ejpam-6506	69	2	schemes	scheme	NOUN
ejpam-6506	69	3	facilitate	facilitate	VERB
ejpam-6506	69	4	high	high	ADJ
ejpam-6506	69	5	-	-	PUNCT
ejpam-6506	69	6	resolution	resolution	NOUN
ejpam-6506	69	7	numerical	numerical	ADJ
ejpam-6506	69	8	solutions	solution	NOUN
ejpam-6506	69	9	by	by	ADP
ejpam-6506	69	10	meticulously	meticulously	ADV
ejpam-6506	69	11	designing	design	VERB
ejpam-6506	69	12	the	the	DET
ejpam-6506	69	13	discretization	discretization	NOUN
ejpam-6506	69	14	process	process	NOUN
ejpam-6506	69	15	,	,	PUNCT
ejpam-6506	69	16	thereby	thereby	ADV
ejpam-6506	69	17	enhancing	enhance	VERB
ejpam-6506	69	18	the	the	DET
ejpam-6506	69	19	capture	capture	NOUN
ejpam-6506	69	20	of	of	ADP
ejpam-6506	69	21	chaotic	chaotic	ADJ
ejpam-6506	69	22	behavior	behavior	NOUN
ejpam-6506	69	23	and	and	CCONJ
ejpam-6506	69	24	obtaining	obtain	VERB
ejpam-6506	69	25	solutions	solution	NOUN
ejpam-6506	69	26	that	that	PRON
ejpam-6506	69	27	preserve	preserve	VERB
ejpam-6506	69	28	the	the	DET
ejpam-6506	69	29	essential	essential	ADJ
ejpam-6506	69	30	characteristics	characteristic	NOUN
ejpam-6506	69	31	of	of	ADP
ejpam-6506	69	32	the	the	DET
ejpam-6506	69	33	original	original	ADJ
ejpam-6506	69	34	equations	equation	NOUN
ejpam-6506	69	35	[	[	X
ejpam-6506	69	36	31	31	NUM
ejpam-6506	69	37	]	]	PUNCT
ejpam-6506	69	38	.	.	PUNCT
ejpam-6506	70	1	the	the	DET
ejpam-6506	70	2	nonstandard	nonstandard	ADJ
ejpam-6506	70	3	finite	finite	ADJ
ejpam-6506	70	4	difference	difference	NOUN
ejpam-6506	70	5	scheme	scheme	NOUN
ejpam-6506	70	6	introduced	introduce	VERB
ejpam-6506	70	7	by	by	ADP
ejpam-6506	70	8	mickens	micken	NOUN
ejpam-6506	70	9	[	[	X
ejpam-6506	70	10	32	32	NUM
ejpam-6506	70	11	]	]	PUNCT
ejpam-6506	70	12	is	be	AUX
ejpam-6506	70	13	particularly	particularly	ADV
ejpam-6506	70	14	useful	useful	ADJ
ejpam-6506	70	15	when	when	SCONJ
ejpam-6506	70	16	the	the	DET
ejpam-6506	70	17	right	right	ADJ
ejpam-6506	70	18	-	-	PUNCT
ejpam-6506	70	19	hand	hand	NOUN
ejpam-6506	70	20	side	side	NOUN
ejpam-6506	70	21	of	of	ADP
ejpam-6506	70	22	a	a	DET
ejpam-6506	70	23	differential	differential	ADJ
ejpam-6506	70	24	equation	equation	NOUN
ejpam-6506	70	25	includes	include	VERB
ejpam-6506	70	26	terms	term	NOUN
ejpam-6506	70	27	involving	involve	VERB
ejpam-6506	70	28	the	the	DET
ejpam-6506	70	29	same	same	ADJ
ejpam-6506	70	30	variable	variable	NOUN
ejpam-6506	70	31	as	as	ADP
ejpam-6506	70	32	the	the	DET
ejpam-6506	70	33	left	left	ADJ
ejpam-6506	70	34	-	-	PUNCT
ejpam-6506	70	35	hand	hand	NOUN
ejpam-6506	70	36	side	side	NOUN
ejpam-6506	70	37	,	,	PUNCT
ejpam-6506	70	38	but	but	CCONJ
ejpam-6506	70	39	with	with	ADP
ejpam-6506	70	40	a	a	DET
ejpam-6506	70	41	negative	negative	ADJ
ejpam-6506	70	42	sign	sign	NOUN
ejpam-6506	70	43	.	.	PUNCT
ejpam-6506	71	1	in	in	ADP
ejpam-6506	71	2	the	the	DET
ejpam-6506	71	3	third	third	ADJ
ejpam-6506	71	4	equation	equation	NOUN
ejpam-6506	71	5	of	of	ADP
ejpam-6506	71	6	the	the	DET
ejpam-6506	71	7	system	system	NOUN
ejpam-6506	71	8	(	(	PUNCT
ejpam-6506	71	9	1	1	NUM
ejpam-6506	71	10	)	)	PUNCT
ejpam-6506	71	11	,	,	PUNCT
ejpam-6506	71	12	the	the	DET
ejpam-6506	71	13	term	term	NOUN
ejpam-6506	71	14	−1.8xz	−1.8xz	PUNCT
ejpam-6506	71	15	includes	include	VERB
ejpam-6506	71	16	the	the	DET
ejpam-6506	71	17	variable	variable	ADJ
ejpam-6506	71	18	z	z	NOUN
ejpam-6506	71	19	,	,	PUNCT
ejpam-6506	71	20	which	which	PRON
ejpam-6506	71	21	appears	appear	VERB
ejpam-6506	71	22	as	as	ADP
ejpam-6506	71	23	ż	ż	NOUN
ejpam-6506	71	24	on	on	ADP
ejpam-6506	71	25	the	the	DET
ejpam-6506	71	26	left	left	ADJ
ejpam-6506	71	27	-	-	PUNCT
ejpam-6506	71	28	hand	hand	NOUN
ejpam-6506	71	29	side	side	NOUN
ejpam-6506	71	30	,	,	PUNCT
ejpam-6506	71	31	thereby	thereby	ADV
ejpam-6506	71	32	satisfying	satisfy	VERB
ejpam-6506	71	33	mickens	micken	NOUN
ejpam-6506	71	34	’	'	PUNCT
ejpam-6506	71	35	criterion	criterion	NOUN
ejpam-6506	71	36	.	.	PUNCT
ejpam-6506	72	1	this	this	PRON
ejpam-6506	72	2	allows	allow	VERB
ejpam-6506	72	3	the	the	DET
ejpam-6506	72	4	system	system	NOUN
ejpam-6506	72	5	(	(	PUNCT
ejpam-6506	72	6	1	1	X
ejpam-6506	72	7	)	)	PUNCT
ejpam-6506	72	8	to	to	PART
ejpam-6506	72	9	be	be	AUX
ejpam-6506	72	10	appropriately	appropriately	ADV
ejpam-6506	72	11	transformed	transform	VERB
ejpam-6506	72	12	using	use	VERB
ejpam-6506	72	13	the	the	DET
ejpam-6506	72	14	nonstandard	nonstandard	ADJ
ejpam-6506	72	15	scheme	scheme	NOUN
ejpam-6506	72	16	.	.	PUNCT
ejpam-6506	73	1	while	while	SCONJ
ejpam-6506	73	2	the	the	DET
ejpam-6506	73	3	original	original	ADJ
ejpam-6506	73	4	system	system	NOUN
ejpam-6506	73	5	is	be	AUX
ejpam-6506	73	6	defined	define	VERB
ejpam-6506	73	7	in	in	ADP
ejpam-6506	73	8	continuous	continuous	ADJ
ejpam-6506	73	9	time	time	NOUN
ejpam-6506	73	10	,	,	PUNCT
ejpam-6506	73	11	this	this	DET
ejpam-6506	73	12	study	study	NOUN
ejpam-6506	73	13	focuses	focus	VERB
ejpam-6506	73	14	on	on	ADP
ejpam-6506	73	15	the	the	DET
ejpam-6506	73	16	discrete	discrete	ADJ
ejpam-6506	73	17	map	map	NOUN
ejpam-6506	73	18	resulting	result	VERB
ejpam-6506	73	19	from	from	ADP
ejpam-6506	73	20	nonstandard	nonstandard	ADJ
ejpam-6506	73	21	discretization	discretization	NOUN
ejpam-6506	73	22	,	,	PUNCT
ejpam-6506	73	23	not	not	PART
ejpam-6506	73	24	merely	merely	ADV
ejpam-6506	73	25	as	as	ADP
ejpam-6506	73	26	a	a	DET
ejpam-6506	73	27	numerical	numerical	ADJ
ejpam-6506	73	28	approximation	approximation	NOUN
ejpam-6506	73	29	,	,	PUNCT
ejpam-6506	73	30	but	but	CCONJ
ejpam-6506	73	31	also	also	ADV
ejpam-6506	73	32	as	as	ADP
ejpam-6506	73	33	an	an	DET
ejpam-6506	73	34	autonomous	autonomous	ADJ
ejpam-6506	73	35	dynamical	dynamical	ADJ
ejpam-6506	73	36	system	system	NOUN
ejpam-6506	73	37	with	with	ADP
ejpam-6506	73	38	its	its	PRON
ejpam-6506	73	39	own	own	ADJ
ejpam-6506	73	40	qualitative	qualitative	ADJ
ejpam-6506	73	41	behavior	behavior	NOUN
ejpam-6506	73	42	.	.	PUNCT
ejpam-6506	74	1	discrete	discrete	ADJ
ejpam-6506	74	2	-	-	PUNCT
ejpam-6506	74	3	time	time	NOUN
ejpam-6506	74	4	dynamics	dynamic	NOUN
ejpam-6506	74	5	often	often	ADV
ejpam-6506	74	6	differ	differ	VERB
ejpam-6506	74	7	significantly	significantly	ADV
ejpam-6506	74	8	from	from	ADP
ejpam-6506	74	9	continuous	continuous	ADJ
ejpam-6506	74	10	-	-	PUNCT
ejpam-6506	74	11	time	time	NOUN
ejpam-6506	74	12	flow	flow	NOUN
ejpam-6506	74	13	.	.	PUNCT
ejpam-6506	75	1	here	here	ADV
ejpam-6506	75	2	,	,	PUNCT
ejpam-6506	75	3	we	we	PRON
ejpam-6506	75	4	treat	treat	VERB
ejpam-6506	75	5	the	the	DET
ejpam-6506	75	6	discrete	discrete	ADJ
ejpam-6506	75	7	map	map	NOUN
ejpam-6506	75	8	as	as	ADP
ejpam-6506	75	9	a	a	DET
ejpam-6506	75	10	system	system	NOUN
ejpam-6506	75	11	of	of	ADP
ejpam-6506	75	12	intrinsic	intrinsic	ADJ
ejpam-6506	75	13	interest	interest	NOUN
ejpam-6506	75	14	,	,	PUNCT
ejpam-6506	75	15	focusing	focus	VERB
ejpam-6506	75	16	on	on	ADP
ejpam-6506	75	17	how	how	SCONJ
ejpam-6506	75	18	discretization	discretization	NOUN
ejpam-6506	75	19	affects	affect	VERB
ejpam-6506	75	20	chaos	chaos	NOUN
ejpam-6506	75	21	,	,	PUNCT
ejpam-6506	75	22	sensitivity	sensitivity	NOUN
ejpam-6506	75	23	to	to	PART
ejpam-6506	75	24	step	step	VERB
ejpam-6506	75	25	size	size	NOUN
ejpam-6506	75	26	and	and	CCONJ
ejpam-6506	75	27	parameters	parameter	NOUN
ejpam-6506	75	28	,	,	PUNCT
ejpam-6506	75	29	and	and	CCONJ
ejpam-6506	75	30	the	the	DET
ejpam-6506	75	31	structure	structure	NOUN
ejpam-6506	75	32	of	of	ADP
ejpam-6506	75	33	attractors	attractor	NOUN
ejpam-6506	75	34	.	.	PUNCT
ejpam-6506	76	1	although	although	SCONJ
ejpam-6506	76	2	nonstandard	nonstandard	ADJ
ejpam-6506	76	3	schemes	scheme	NOUN
ejpam-6506	76	4	are	be	AUX
ejpam-6506	76	5	widely	widely	ADV
ejpam-6506	76	6	used	use	VERB
ejpam-6506	76	7	to	to	PART
ejpam-6506	76	8	preserve	preserve	VERB
ejpam-6506	76	9	the	the	DET
ejpam-6506	76	10	key	key	ADJ
ejpam-6506	76	11	features	feature	NOUN
ejpam-6506	76	12	of	of	ADP
ejpam-6506	76	13	chaotic	chaotic	ADJ
ejpam-6506	76	14	systems	system	NOUN
ejpam-6506	76	15	,	,	PUNCT
ejpam-6506	76	16	their	their	PRON
ejpam-6506	76	17	application	application	NOUN
ejpam-6506	76	18	to	to	ADP
ejpam-6506	76	19	three	three	NUM
ejpam-6506	76	20	-	-	PUNCT
ejpam-6506	76	21	dimensional	dimensional	ADJ
ejpam-6506	76	22	quadratic	quadratic	ADJ
ejpam-6506	76	23	maps	map	NOUN
ejpam-6506	76	24	remains	remain	VERB
ejpam-6506	76	25	limited	limited	ADJ
ejpam-6506	76	26	.	.	PUNCT
ejpam-6506	77	1	this	this	DET
ejpam-6506	77	2	study	study	NOUN
ejpam-6506	77	3	addresses	address	VERB
ejpam-6506	77	4	this	this	DET
ejpam-6506	77	5	gap	gap	NOUN
ejpam-6506	77	6	by	by	ADP
ejpam-6506	77	7	analyzing	analyze	VERB
ejpam-6506	77	8	the	the	DET
ejpam-6506	77	9	discrete	discrete	ADJ
ejpam-6506	77	10	dynamics	dynamic	NOUN
ejpam-6506	77	11	derived	derive	VERB
ejpam-6506	77	12	from	from	ADP
ejpam-6506	77	13	system	system	NOUN
ejpam-6506	77	14	(	(	PUNCT
ejpam-6506	77	15	1	1	NUM
ejpam-6506	77	16	)	)	PUNCT
ejpam-6506	77	17	.	.	PUNCT
ejpam-6506	78	1	the	the	DET
ejpam-6506	78	2	remainder	remainder	NOUN
ejpam-6506	78	3	of	of	ADP
ejpam-6506	78	4	this	this	DET
ejpam-6506	78	5	paper	paper	NOUN
ejpam-6506	78	6	is	be	AUX
ejpam-6506	78	7	organized	organize	VERB
ejpam-6506	78	8	as	as	SCONJ
ejpam-6506	78	9	follows	follow	VERB
ejpam-6506	78	10	.	.	PUNCT
ejpam-6506	79	1	section	section	NOUN
ejpam-6506	79	2	2	2	NUM
ejpam-6506	79	3	introduces	introduce	NOUN
ejpam-6506	79	4	the	the	DET
ejpam-6506	79	5	discretetime	discretetime	ADJ
ejpam-6506	79	6	formulation	formulation	NOUN
ejpam-6506	79	7	of	of	ADP
ejpam-6506	79	8	the	the	DET
ejpam-6506	79	9	original	original	ADJ
ejpam-6506	79	10	continuous	continuous	ADJ
ejpam-6506	79	11	system	system	NOUN
ejpam-6506	79	12	using	use	VERB
ejpam-6506	79	13	a	a	DET
ejpam-6506	79	14	standard	standard	ADJ
ejpam-6506	79	15	difference	difference	NOUN
ejpam-6506	79	16	scheme	scheme	NOUN
ejpam-6506	79	17	followed	follow	VERB
ejpam-6506	79	18	by	by	ADP
ejpam-6506	79	19	numerical	numerical	ADJ
ejpam-6506	79	20	simulations	simulation	NOUN
ejpam-6506	79	21	to	to	PART
ejpam-6506	79	22	illustrate	illustrate	VERB
ejpam-6506	79	23	its	its	PRON
ejpam-6506	79	24	dynamic	dynamic	ADJ
ejpam-6506	79	25	behavior	behavior	NOUN
ejpam-6506	79	26	.	.	PUNCT
ejpam-6506	80	1	section	section	NOUN
ejpam-6506	80	2	3	3	NUM
ejpam-6506	80	3	presents	present	VERB
ejpam-6506	80	4	the	the	DET
ejpam-6506	80	5	discretization	discretization	NOUN
ejpam-6506	80	6	using	use	VERB
ejpam-6506	80	7	mickens	micken	NOUN
ejpam-6506	80	8	’	'	PUNCT
ejpam-6506	80	9	nonstandard	nonstandard	ADJ
ejpam-6506	80	10	difference	difference	NOUN
ejpam-6506	80	11	scheme	scheme	NOUN
ejpam-6506	80	12	,	,	PUNCT
ejpam-6506	80	13	and	and	CCONJ
ejpam-6506	80	14	investigates	investigate	VERB
ejpam-6506	80	15	its	its	PRON
ejpam-6506	80	16	qualitative	qualitative	NOUN
ejpam-6506	80	17	features	feature	NOUN
ejpam-6506	80	18	through	through	ADP
ejpam-6506	80	19	simulations	simulation	NOUN
ejpam-6506	80	20	.	.	PUNCT
ejpam-6506	81	1	a	a	DET
ejpam-6506	81	2	comparative	comparative	ADJ
ejpam-6506	81	3	analysis	analysis	NOUN
ejpam-6506	81	4	highlighted	highlight	VERB
ejpam-6506	81	5	the	the	DET
ejpam-6506	81	6	effects	effect	NOUN
ejpam-6506	81	7	of	of	ADP
ejpam-6506	81	8	discretization	discretization	NOUN
ejpam-6506	81	9	choice	choice	NOUN
ejpam-6506	81	10	on	on	ADP
ejpam-6506	81	11	the	the	DET
ejpam-6506	81	12	dynamics	dynamic	NOUN
ejpam-6506	81	13	of	of	ADP
ejpam-6506	81	14	the	the	DET
ejpam-6506	81	15	system	system	NOUN
ejpam-6506	81	16	.	.	PUNCT
ejpam-6506	82	1	finally	finally	ADV
ejpam-6506	82	2	,	,	PUNCT
ejpam-6506	82	3	section	section	NOUN
ejpam-6506	82	4	4	4	NUM
ejpam-6506	82	5	summarizes	summarize	NOUN
ejpam-6506	82	6	the	the	DET
ejpam-6506	82	7	key	key	ADJ
ejpam-6506	82	8	findings	finding	NOUN
ejpam-6506	82	9	and	and	CCONJ
ejpam-6506	82	10	outlines	outline	VERB
ejpam-6506	82	11	the	the	DET
ejpam-6506	82	12	potential	potential	ADJ
ejpam-6506	82	13	directions	direction	NOUN
ejpam-6506	82	14	for	for	ADP
ejpam-6506	82	15	future	future	ADJ
ejpam-6506	82	16	research	research	NOUN
ejpam-6506	82	17	.	.	PUNCT
ejpam-6506	83	1	2	2	X
ejpam-6506	83	2	.	.	X
ejpam-6506	83	3	discrete	discrete	ADJ
ejpam-6506	83	4	-	-	PUNCT
ejpam-6506	83	5	time	time	NOUN
ejpam-6506	83	6	system	system	NOUN
ejpam-6506	83	7	via	via	ADP
ejpam-6506	83	8	standard	standard	PROPN
ejpam-6506	83	9	euler	euler	PROPN
ejpam-6506	83	10	scheme	scheme	NOUN
ejpam-6506	83	11	we	we	PRON
ejpam-6506	83	12	discretize	discretize	VERB
ejpam-6506	83	13	system	system	NOUN
ejpam-6506	83	14	(	(	PUNCT
ejpam-6506	83	15	1	1	X
ejpam-6506	83	16	)	)	PUNCT
ejpam-6506	83	17	using	use	VERB
ejpam-6506	83	18	the	the	DET
ejpam-6506	83	19	forward	forward	ADJ
ejpam-6506	83	20	euler	euler	NOUN
ejpam-6506	83	21	scheme	scheme	NOUN
ejpam-6506	83	22	,	,	PUNCT
ejpam-6506	83	23	where	where	SCONJ
ejpam-6506	83	24	ẋ	ẋ	PUNCT
ejpam-6506	83	25	=	=	PUNCT
ejpam-6506	84	1	xt+1−xt	xt+1−xt	PROPN
ejpam-6506	84	2	h	h	PROPN
ejpam-6506	84	3	for	for	ADP
ejpam-6506	84	4	h	h	PROPN
ejpam-6506	84	5	>	>	X
ejpam-6506	84	6	0	0	NUM
ejpam-6506	84	7	,	,	PUNCT
ejpam-6506	84	8	yielding	yield	VERB
ejpam-6506	84	9	m.	m.	PROPN
ejpam-6506	84	10	f.	f.	PROPN
ejpam-6506	84	11	ansori	ansori	PROPN
ejpam-6506	84	12	et	et	PROPN
ejpam-6506	84	13	al	al	PROPN
ejpam-6506	84	14	.	.	PUNCT
ejpam-6506	84	15	/	/	SYM
ejpam-6506	84	16	eur	eur	PROPN
ejpam-6506	84	17	.	.	PUNCT
ejpam-6506	85	1	j.	j.	PROPN
ejpam-6506	85	2	pure	pure	PROPN
ejpam-6506	85	3	appl	appl	PROPN
ejpam-6506	85	4	.	.	PROPN
ejpam-6506	85	5	math	math	PROPN
ejpam-6506	85	6	,	,	PUNCT
ejpam-6506	85	7	18	18	NUM
ejpam-6506	85	8	(	(	PUNCT
ejpam-6506	85	9	4	4	NUM
ejpam-6506	85	10	)	)	PUNCT
ejpam-6506	85	11	(	(	PUNCT
ejpam-6506	85	12	2025	2025	NUM
ejpam-6506	85	13	)	)	PUNCT
ejpam-6506	85	14	,	,	PUNCT
ejpam-6506	85	15	6506	6506	NUM
ejpam-6506	85	16	4	4	NUM
ejpam-6506	85	17	of	of	ADP
ejpam-6506	85	18	27	27	NUM
ejpam-6506	85	19			NOUN
ejpam-6506	85	20	xt+1	xt+1	PROPN
ejpam-6506	85	21	=	=	SYM
ejpam-6506	85	22	xt	xt	PROPN
ejpam-6506	86	1	+	+	CCONJ
ejpam-6506	86	2	hyt	hyt	PROPN
ejpam-6506	86	3	yt+1	yt+1	PROPN
ejpam-6506	86	4	=	=	PUNCT
ejpam-6506	86	5	yt	yt	PROPN
ejpam-6506	86	6	+	+	CCONJ
ejpam-6506	86	7	h(−xt	h(−xt	PROPN
ejpam-6506	86	8	+	+	CCONJ
ejpam-6506	86	9	zt	zt	PROPN
ejpam-6506	86	10	)	)	PUNCT
ejpam-6506	86	11	zt+1	zt+1	PROPN
ejpam-6506	87	1	=	=	SYM
ejpam-6506	87	2	zt	zt	PROPN
ejpam-6506	87	3	+	+	NUM
ejpam-6506	87	4	h(zt	h(zt	PROPN
ejpam-6506	87	5	−	−	NUM
ejpam-6506	87	6	2xtyt	2xtyt	NUM
ejpam-6506	87	7	−	−	PROPN
ejpam-6506	87	8	1.8xtzt	1.8xtzt	NUM
ejpam-6506	87	9	−	−	PROPN
ejpam-6506	87	10	a	a	NOUN
ejpam-6506	87	11	)	)	PUNCT
ejpam-6506	87	12	.	.	PUNCT
ejpam-6506	88	1	(	(	PUNCT
ejpam-6506	88	2	2	2	X
ejpam-6506	88	3	)	)	PUNCT
ejpam-6506	88	4	2.1	2.1	NUM
ejpam-6506	88	5	.	.	PUNCT
ejpam-6506	89	1	equilibrium	equilibrium	NOUN
ejpam-6506	89	2	analysis	analysis	NOUN
ejpam-6506	89	3	and	and	CCONJ
ejpam-6506	89	4	stability	stability	NOUN
ejpam-6506	89	5	conditions	condition	NOUN
ejpam-6506	89	6	the	the	DET
ejpam-6506	89	7	system	system	NOUN
ejpam-6506	89	8	(	(	PUNCT
ejpam-6506	89	9	2	2	X
ejpam-6506	89	10	)	)	PUNCT
ejpam-6506	89	11	has	have	VERB
ejpam-6506	89	12	two	two	NUM
ejpam-6506	89	13	equilibria	equilibrium	NOUN
ejpam-6506	89	14	,	,	PUNCT
ejpam-6506	89	15	e∗	e∗	PROPN
ejpam-6506	89	16	=	=	SYM
ejpam-6506	89	17	(	(	PUNCT
ejpam-6506	89	18	x∗	x∗	PROPN
ejpam-6506	89	19	,	,	PUNCT
ejpam-6506	89	20	y∗	y∗	ADV
ejpam-6506	89	21	,	,	PUNCT
ejpam-6506	89	22	z∗	z∗	PROPN
ejpam-6506	89	23	)	)	PUNCT
ejpam-6506	89	24	,	,	PUNCT
ejpam-6506	89	25	namely	namely	ADV
ejpam-6506	89	26	e∗	e∗	NOUN
ejpam-6506	89	27	1	1	NUM
ejpam-6506	89	28	=	=	SYM
ejpam-6506	89	29	(	(	PUNCT
ejpam-6506	89	30	1	1	NUM
ejpam-6506	89	31	+	+	CCONJ
ejpam-6506	89	32	√	√	ADJ
ejpam-6506	89	33	1−	1−	NUM
ejpam-6506	89	34	7.2a	7.2a	NUM
ejpam-6506	89	35	3.6	3.6	NUM
ejpam-6506	89	36	,	,	PUNCT
ejpam-6506	89	37	0	0	NUM
ejpam-6506	89	38	,	,	PUNCT
ejpam-6506	89	39	1	1	NUM
ejpam-6506	89	40	+	+	CCONJ
ejpam-6506	89	41	√	√	ADJ
ejpam-6506	89	42	1−	1−	NUM
ejpam-6506	89	43	7.2a	7.2a	NUM
ejpam-6506	89	44	3.6	3.6	NUM
ejpam-6506	89	45	)	)	PUNCT
ejpam-6506	89	46	,	,	PUNCT
ejpam-6506	89	47	e∗	e∗	NOUN
ejpam-6506	89	48	2	2	NUM
ejpam-6506	89	49	=	=	SYM
ejpam-6506	89	50	(	(	PUNCT
ejpam-6506	89	51	1−	1−	NUM
ejpam-6506	89	52	√	√	NUM
ejpam-6506	89	53	1−	1−	NUM
ejpam-6506	89	54	7.2a	7.2a	NUM
ejpam-6506	89	55	3.6	3.6	NUM
ejpam-6506	89	56	,	,	PUNCT
ejpam-6506	89	57	0	0	NUM
ejpam-6506	89	58	,	,	PUNCT
ejpam-6506	89	59	1−	1−	NUM
ejpam-6506	89	60	√	√	NUM
ejpam-6506	89	61	1−	1−	NUM
ejpam-6506	89	62	7.2a	7.2a	NUM
ejpam-6506	89	63	3.6	3.6	NUM
ejpam-6506	89	64	)	)	PUNCT
ejpam-6506	89	65	.	.	PUNCT
ejpam-6506	90	1	if	if	SCONJ
ejpam-6506	90	2	a	a	DET
ejpam-6506	90	3	>	>	X
ejpam-6506	90	4	1	1	NUM
ejpam-6506	90	5	7.2	7.2	NUM
ejpam-6506	90	6	,	,	PUNCT
ejpam-6506	90	7	then	then	ADV
ejpam-6506	90	8	the	the	DET
ejpam-6506	90	9	system	system	NOUN
ejpam-6506	90	10	(	(	PUNCT
ejpam-6506	90	11	2	2	X
ejpam-6506	90	12	)	)	PUNCT
ejpam-6506	90	13	has	have	VERB
ejpam-6506	90	14	no	no	DET
ejpam-6506	90	15	equilibrium	equilibrium	NOUN
ejpam-6506	90	16	.	.	PUNCT
ejpam-6506	91	1	therefore	therefore	ADV
ejpam-6506	91	2	,	,	PUNCT
ejpam-6506	91	3	in	in	ADP
ejpam-6506	91	4	[	[	X
ejpam-6506	91	5	14	14	NUM
ejpam-6506	91	6	]	]	PUNCT
ejpam-6506	91	7	,	,	PUNCT
ejpam-6506	91	8	model	model	NOUN
ejpam-6506	91	9	(	(	PUNCT
ejpam-6506	91	10	1	1	NUM
ejpam-6506	91	11	)	)	PUNCT
ejpam-6506	91	12	,	,	PUNCT
ejpam-6506	91	13	with	with	ADP
ejpam-6506	91	14	a	a	DET
ejpam-6506	91	15	=	=	SYM
ejpam-6506	91	16	1	1	NUM
ejpam-6506	91	17	≥	≥	NOUN
ejpam-6506	91	18	1	1	NUM
ejpam-6506	91	19	7.2	7.2	NUM
ejpam-6506	91	20	has	have	VERB
ejpam-6506	91	21	no	no	DET
ejpam-6506	91	22	equilibrium	equilibrium	NOUN
ejpam-6506	91	23	.	.	PUNCT
ejpam-6506	92	1	however	however	ADV
ejpam-6506	92	2	,	,	PUNCT
ejpam-6506	92	3	in	in	ADP
ejpam-6506	92	4	this	this	DET
ejpam-6506	92	5	study	study	NOUN
ejpam-6506	92	6	,	,	PUNCT
ejpam-6506	92	7	we	we	PRON
ejpam-6506	92	8	examined	examine	VERB
ejpam-6506	92	9	a	a	DET
ejpam-6506	92	10	general	general	ADJ
ejpam-6506	92	11	case	case	NOUN
ejpam-6506	92	12	,	,	PUNCT
ejpam-6506	92	13	that	that	ADV
ejpam-6506	92	14	is	is	ADV
ejpam-6506	92	15	,	,	PUNCT
ejpam-6506	92	16	an	an	DET
ejpam-6506	92	17	arbitrary	arbitrary	ADJ
ejpam-6506	92	18	a	a	DET
ejpam-6506	92	19	∈	∈	PROPN
ejpam-6506	92	20	r.	r.	PROPN
ejpam-6506	92	21	note	note	NOUN
ejpam-6506	92	22	that	that	SCONJ
ejpam-6506	92	23	the	the	DET
ejpam-6506	92	24	equilibrium	equilibrium	NOUN
ejpam-6506	92	25	of	of	ADP
ejpam-6506	92	26	variable	variable	ADJ
ejpam-6506	92	27	y	y	PROPN
ejpam-6506	92	28	is	be	AUX
ejpam-6506	92	29	always	always	ADV
ejpam-6506	92	30	zero	zero	NUM
ejpam-6506	92	31	and	and	CCONJ
ejpam-6506	92	32	z∗	z∗	NOUN
ejpam-6506	92	33	=	=	SYM
ejpam-6506	93	1	x∗.	x∗.	NOUN
ejpam-6506	94	1	so	so	ADV
ejpam-6506	94	2	,	,	PUNCT
ejpam-6506	94	3	we	we	PRON
ejpam-6506	94	4	evaluate	evaluate	VERB
ejpam-6506	94	5	the	the	DET
ejpam-6506	94	6	jacobian	jacobian	ADJ
ejpam-6506	94	7	matrix	matrix	NOUN
ejpam-6506	94	8	of	of	ADP
ejpam-6506	94	9	system	system	NOUN
ejpam-6506	94	10	(	(	PUNCT
ejpam-6506	94	11	2	2	NUM
ejpam-6506	94	12	)	)	PUNCT
ejpam-6506	94	13	at	at	ADP
ejpam-6506	94	14	any	any	DET
ejpam-6506	94	15	point	point	NOUN
ejpam-6506	94	16	e	e	NOUN
ejpam-6506	94	17	=	=	SYM
ejpam-6506	94	18	(	(	PUNCT
ejpam-6506	94	19	x	x	X
ejpam-6506	94	20	,	,	PUNCT
ejpam-6506	94	21	0	0	NUM
ejpam-6506	94	22	,	,	PUNCT
ejpam-6506	94	23	x	x	X
ejpam-6506	94	24	)	)	PUNCT
ejpam-6506	94	25	∈	∈	PROPN
ejpam-6506	94	26	r3	r3	PROPN
ejpam-6506	94	27	as	as	SCONJ
ejpam-6506	94	28	follows	follow	VERB
ejpam-6506	94	29	j(e	j(e	PROPN
ejpam-6506	94	30	)	)	PUNCT
ejpam-6506	94	31	=	=	PUNCT
ejpam-6506	94	32			NOUN
ejpam-6506	94	33	1	1	NUM
ejpam-6506	94	34	h	h	NOUN
ejpam-6506	94	35	0	0	PUNCT
ejpam-6506	95	1	−h	−h	ADJ
ejpam-6506	95	2	1	1	NUM
ejpam-6506	95	3	h	h	NOUN
ejpam-6506	95	4	−1.8hx	−1.8hx	PROPN
ejpam-6506	95	5	−2hx	−2hx	PROPN
ejpam-6506	95	6	1	1	NUM
ejpam-6506	95	7	+	+	CCONJ
ejpam-6506	95	8	h−	h−	PROPN
ejpam-6506	95	9	1.8hx	1.8hx	PROPN
ejpam-6506	95	10			NOUN
ejpam-6506	95	11	.	.	PUNCT
ejpam-6506	96	1	(	(	PUNCT
ejpam-6506	96	2	3	3	X
ejpam-6506	96	3	)	)	PUNCT
ejpam-6506	96	4	the	the	DET
ejpam-6506	96	5	characteristic	characteristic	ADJ
ejpam-6506	96	6	equation	equation	NOUN
ejpam-6506	96	7	of	of	ADP
ejpam-6506	96	8	j(e	j(e	PROPN
ejpam-6506	96	9	)	)	PUNCT
ejpam-6506	96	10	is	be	AUX
ejpam-6506	96	11	given	give	VERB
ejpam-6506	96	12	by	by	ADP
ejpam-6506	96	13	p(λ	p(λ	NOUN
ejpam-6506	96	14	)	)	PUNCT
ejpam-6506	96	15	=	=	PUNCT
ejpam-6506	97	1	λ3	λ3	PROPN
ejpam-6506	97	2	+	+	CCONJ
ejpam-6506	97	3	b1λ	b1λ	PROPN
ejpam-6506	97	4	2	2	NUM
ejpam-6506	97	5	+	+	CCONJ
ejpam-6506	97	6	b2λ+	b2λ+	DET
ejpam-6506	97	7	b3	b3	PROPN
ejpam-6506	97	8	,	,	PUNCT
ejpam-6506	97	9	(	(	PUNCT
ejpam-6506	97	10	4	4	X
ejpam-6506	97	11	)	)	PUNCT
ejpam-6506	97	12	where	where	SCONJ
ejpam-6506	97	13	b1	b1	NOUN
ejpam-6506	97	14	=	=	SYM
ejpam-6506	97	15	−(3	−(3	PROPN
ejpam-6506	97	16	+	+	NUM
ejpam-6506	97	17	h	h	X
ejpam-6506	97	18	)	)	PUNCT
ejpam-6506	97	19	+	+	NOUN
ejpam-6506	97	20	1.8hx	1.8hx	NUM
ejpam-6506	97	21	,	,	PUNCT
ejpam-6506	97	22	b2	b2	NOUN
ejpam-6506	97	23	=	=	SYM
ejpam-6506	97	24	(	(	PUNCT
ejpam-6506	97	25	3	3	NUM
ejpam-6506	97	26	+	+	NUM
ejpam-6506	97	27	2h+	2h+	NUM
ejpam-6506	97	28	h2	h2	NOUN
ejpam-6506	97	29	)	)	PUNCT
ejpam-6506	97	30	+	+	CCONJ
ejpam-6506	97	31	(	(	PUNCT
ejpam-6506	97	32	−3.6h+	−3.6h+	NUM
ejpam-6506	97	33	2h2)x	2h2)x	NUM
ejpam-6506	97	34	,	,	PUNCT
ejpam-6506	97	35	b3	b3	PROPN
ejpam-6506	97	36	=	=	SYM
ejpam-6506	98	1	−(1	−(1	PROPN
ejpam-6506	98	2	+	+	CCONJ
ejpam-6506	98	3	h+	h+	PUNCT
ejpam-6506	98	4	h2	h2	NOUN
ejpam-6506	98	5	+	+	NUM
ejpam-6506	98	6	h3	h3	NOUN
ejpam-6506	98	7	)	)	PUNCT
ejpam-6506	99	1	+	+	CCONJ
ejpam-6506	99	2	(	(	PUNCT
ejpam-6506	99	3	1.8h−	1.8h−	NUM
ejpam-6506	99	4	2h2	2h2	NUM
ejpam-6506	99	5	+	+	CCONJ
ejpam-6506	99	6	3.6h3)x	3.6h3)x	NUM
ejpam-6506	99	7	.	.	PUNCT
ejpam-6506	100	1	following	follow	VERB
ejpam-6506	100	2	andaluz	andaluz	PROPN
ejpam-6506	100	3	[	[	PUNCT
ejpam-6506	100	4	33	33	NUM
ejpam-6506	100	5	]	]	PUNCT
ejpam-6506	100	6	,	,	PUNCT
ejpam-6506	100	7	the	the	DET
ejpam-6506	100	8	jury	jury	NOUN
ejpam-6506	100	9	stability	stability	NOUN
ejpam-6506	100	10	conditions	condition	NOUN
ejpam-6506	100	11	for	for	ADP
ejpam-6506	100	12	a	a	DET
ejpam-6506	100	13	three	three	NUM
ejpam-6506	100	14	-	-	PUNCT
ejpam-6506	100	15	dimensional	dimensional	ADJ
ejpam-6506	100	16	discrete	discrete	ADJ
ejpam-6506	100	17	system	system	NOUN
ejpam-6506	100	18	require	require	VERB
ejpam-6506	100	19	that	that	SCONJ
ejpam-6506	100	20	an	an	DET
ejpam-6506	100	21	equilibrium	equilibrium	NOUN
ejpam-6506	100	22	point	point	NOUN
ejpam-6506	100	23	e	e	X
ejpam-6506	100	24	=	=	SYM
ejpam-6506	100	25	(	(	PUNCT
ejpam-6506	100	26	x	x	X
ejpam-6506	100	27	,	,	PUNCT
ejpam-6506	100	28	0	0	NUM
ejpam-6506	100	29	,	,	PUNCT
ejpam-6506	100	30	x	x	X
ejpam-6506	100	31	)	)	PUNCT
ejpam-6506	100	32	∈	∈	PROPN
ejpam-6506	100	33	r3	r3	PROPN
ejpam-6506	100	34	is	be	AUX
ejpam-6506	100	35	locally	locally	ADV
ejpam-6506	100	36	asymptotically	asymptotically	ADV
ejpam-6506	100	37	stable	stable	ADJ
ejpam-6506	100	38	if	if	SCONJ
ejpam-6506	100	39			NOUN
ejpam-6506	100	40	1	1	NUM
ejpam-6506	100	41	+	+	NUM
ejpam-6506	100	42	b1	b1	NOUN
ejpam-6506	100	43	+	+	CCONJ
ejpam-6506	100	44	b2	b2	NOUN
ejpam-6506	100	45	+	+	CCONJ
ejpam-6506	100	46	b3	b3	PROPN
ejpam-6506	100	47	>	>	X
ejpam-6506	100	48	0	0	NUM
ejpam-6506	100	49	,	,	PUNCT
ejpam-6506	100	50	1−	1−	NUM
ejpam-6506	100	51	b1	b1	NOUN
ejpam-6506	100	52	+	+	CCONJ
ejpam-6506	100	53	b2	b2	NOUN
ejpam-6506	100	54	−	−	PROPN
ejpam-6506	100	55	b3	b3	PROPN
ejpam-6506	100	56	>	>	X
ejpam-6506	100	57	0	0	NUM
ejpam-6506	100	58	,	,	PUNCT
ejpam-6506	100	59	1−	1−	NUM
ejpam-6506	100	60	b2	b2	NOUN
ejpam-6506	100	61	+	+	CCONJ
ejpam-6506	100	62	b1b3	b1b3	PROPN
ejpam-6506	100	63	−	−	PROPN
ejpam-6506	100	64	b23	b23	PROPN
ejpam-6506	100	65	>	>	X
ejpam-6506	100	66	0	0	PROPN
ejpam-6506	100	67	,	,	PUNCT
ejpam-6506	100	68	b2	b2	NOUN
ejpam-6506	100	69	>	>	X
ejpam-6506	100	70	3	3	X
ejpam-6506	100	71	.	.	PUNCT
ejpam-6506	100	72	(	(	PUNCT
ejpam-6506	100	73	5	5	NUM
ejpam-6506	100	74	)	)	PUNCT
ejpam-6506	100	75	first	first	ADV
ejpam-6506	100	76	,	,	PUNCT
ejpam-6506	100	77	we	we	PRON
ejpam-6506	100	78	study	study	VERB
ejpam-6506	100	79	equilibrium	equilibrium	NOUN
ejpam-6506	100	80	e∗	e∗	PROPN
ejpam-6506	100	81	2	2	NUM
ejpam-6506	100	82	.	.	PUNCT
ejpam-6506	101	1	from	from	ADP
ejpam-6506	101	2	1	1	NUM
ejpam-6506	101	3	+	+	CCONJ
ejpam-6506	101	4	b1	b1	NOUN
ejpam-6506	101	5	+	+	CCONJ
ejpam-6506	101	6	b2	b2	NOUN
ejpam-6506	101	7	+	+	CCONJ
ejpam-6506	101	8	b3	b3	NOUN
ejpam-6506	101	9	=	=	SYM
ejpam-6506	101	10	h3(3.6x	h3(3.6x	NOUN
ejpam-6506	101	11	−	−	NOUN
ejpam-6506	101	12	1	1	NUM
ejpam-6506	101	13	)	)	PUNCT
ejpam-6506	101	14	>	>	X
ejpam-6506	101	15	0	0	NUM
ejpam-6506	101	16	,	,	PUNCT
ejpam-6506	101	17	we	we	PRON
ejpam-6506	101	18	have	have	VERB
ejpam-6506	101	19	x	x	ADJ
ejpam-6506	101	20	>	>	X
ejpam-6506	101	21	1	1	NUM
ejpam-6506	101	22	3.6	3.6	NUM
ejpam-6506	101	23	.	.	PUNCT
ejpam-6506	102	1	however	however	ADV
ejpam-6506	102	2	,	,	PUNCT
ejpam-6506	102	3	the	the	DET
ejpam-6506	102	4	value	value	NOUN
ejpam-6506	102	5	x	x	X
ejpam-6506	102	6	∗	∗	NOUN
ejpam-6506	102	7	=	=	SYM
ejpam-6506	102	8	1−	1−	NUM
ejpam-6506	102	9	√	√	NUM
ejpam-6506	102	10	1−7.2a	1−7.2a	NUM
ejpam-6506	102	11	3.6	3.6	NUM
ejpam-6506	102	12	in	in	ADP
ejpam-6506	102	13	e∗	e∗	PROPN
ejpam-6506	102	14	2	2	NUM
ejpam-6506	102	15	was	be	AUX
ejpam-6506	102	16	always	always	ADV
ejpam-6506	102	17	less	less	ADJ
ejpam-6506	102	18	than	than	ADP
ejpam-6506	102	19	1	1	NUM
ejpam-6506	102	20	3.6	3.6	NUM
ejpam-6506	102	21	.	.	PUNCT
ejpam-6506	103	1	thus	thus	ADV
ejpam-6506	103	2	,	,	PUNCT
ejpam-6506	103	3	e	e	PROPN
ejpam-6506	103	4	∗	∗	NOUN
ejpam-6506	103	5	2	2	NUM
ejpam-6506	103	6	fails	fail	VERB
ejpam-6506	103	7	to	to	PART
ejpam-6506	103	8	satisfy	satisfy	VERB
ejpam-6506	103	9	jury	jury	NOUN
ejpam-6506	103	10	’s	’s	PART
ejpam-6506	103	11	conditions	condition	NOUN
ejpam-6506	103	12	,	,	PUNCT
ejpam-6506	103	13	and	and	CCONJ
ejpam-6506	103	14	is	be	AUX
ejpam-6506	103	15	always	always	ADV
ejpam-6506	103	16	unstable	unstable	ADJ
ejpam-6506	103	17	.	.	PUNCT
ejpam-6506	104	1	for	for	ADP
ejpam-6506	104	2	the	the	DET
ejpam-6506	104	3	case	case	NOUN
ejpam-6506	104	4	of	of	ADP
ejpam-6506	104	5	equilibrium	equilibrium	NOUN
ejpam-6506	104	6	e∗	e∗	PROPN
ejpam-6506	104	7	1	1	NUM
ejpam-6506	104	8	,	,	PUNCT
ejpam-6506	104	9	we	we	PRON
ejpam-6506	104	10	have	have	VERB
ejpam-6506	104	11	the	the	DET
ejpam-6506	104	12	following	follow	VERB
ejpam-6506	104	13	theorem	theorem	PROPN
ejpam-6506	104	14	.	.	PROPN
ejpam-6506	104	15	m.	m.	PROPN
ejpam-6506	104	16	f.	f.	PROPN
ejpam-6506	104	17	ansori	ansori	PROPN
ejpam-6506	104	18	et	et	PROPN
ejpam-6506	104	19	al	al	PROPN
ejpam-6506	104	20	.	.	PUNCT
ejpam-6506	104	21	/	/	SYM
ejpam-6506	104	22	eur	eur	PROPN
ejpam-6506	104	23	.	.	PUNCT
ejpam-6506	105	1	j.	j.	PROPN
ejpam-6506	105	2	pure	pure	PROPN
ejpam-6506	105	3	appl	appl	PROPN
ejpam-6506	105	4	.	.	PROPN
ejpam-6506	105	5	math	math	PROPN
ejpam-6506	105	6	,	,	PUNCT
ejpam-6506	105	7	18	18	NUM
ejpam-6506	105	8	(	(	PUNCT
ejpam-6506	105	9	4	4	NUM
ejpam-6506	105	10	)	)	PUNCT
ejpam-6506	105	11	(	(	PUNCT
ejpam-6506	105	12	2025	2025	NUM
ejpam-6506	105	13	)	)	PUNCT
ejpam-6506	105	14	,	,	PUNCT
ejpam-6506	105	15	6506	6506	NUM
ejpam-6506	105	16	5	5	NUM
ejpam-6506	105	17	of	of	ADP
ejpam-6506	105	18	27	27	NUM
ejpam-6506	105	19	theorem	theorem	NOUN
ejpam-6506	105	20	1	1	NUM
ejpam-6506	105	21	.	.	PUNCT
ejpam-6506	105	22	equilibrium	equilibrium	NOUN
ejpam-6506	105	23	e∗	e∗	PROPN
ejpam-6506	105	24	1	1	NUM
ejpam-6506	105	25	=	=	SYM
ejpam-6506	105	26	(	(	PUNCT
ejpam-6506	105	27	x∗	x∗	PROPN
ejpam-6506	105	28	,	,	PUNCT
ejpam-6506	105	29	0	0	NUM
ejpam-6506	105	30	,	,	PUNCT
ejpam-6506	105	31	x∗	x∗	PROPN
ejpam-6506	105	32	)	)	PUNCT
ejpam-6506	105	33	,	,	PUNCT
ejpam-6506	106	1	where	where	SCONJ
ejpam-6506	106	2	x∗	x∗	PROPN
ejpam-6506	106	3	=	=	SYM
ejpam-6506	107	1	1	1	NUM
ejpam-6506	107	2	+	+	CCONJ
ejpam-6506	107	3	√	√	ADJ
ejpam-6506	107	4	1−	1−	NUM
ejpam-6506	107	5	7.2a	7.2a	NUM
ejpam-6506	107	6	3.6	3.6	NUM
ejpam-6506	107	7	,	,	PUNCT
ejpam-6506	107	8	is	be	AUX
ejpam-6506	107	9	locally	locally	ADV
ejpam-6506	107	10	asymptotically	asymptotically	ADV
ejpam-6506	107	11	stable	stable	ADJ
ejpam-6506	107	12	if	if	SCONJ
ejpam-6506	107	13	the	the	DET
ejpam-6506	107	14	following	follow	VERB
ejpam-6506	107	15	conditions	condition	NOUN
ejpam-6506	107	16	are	be	AUX
ejpam-6506	107	17	satisfied:	satisfied:	PROPN
ejpam-6506	107	18	1	1	NUM
ejpam-6506	107	19	7.2	7.2	NUM
ejpam-6506	107	20	[	[	PUNCT
ejpam-6506	107	21	1−	1−	NUM
ejpam-6506	107	22	(	(	PUNCT
ejpam-6506	107	23	−	−	PROPN
ejpam-6506	107	24	1	1	NUM
ejpam-6506	107	25	+	+	X
ejpam-6506	107	26	3.6min	3.6min	NUM
ejpam-6506	107	27	{	{	PUNCT
ejpam-6506	107	28	2+h	2+h	NUM
ejpam-6506	107	29	3.6	3.6	NUM
ejpam-6506	107	30	+	+	NUM
ejpam-6506	107	31	2h	2h	NUM
ejpam-6506	107	32	,	,	PUNCT
ejpam-6506	107	33	(	(	PUNCT
ejpam-6506	107	34	h+2)(h2	h+2)(h2	NOUN
ejpam-6506	107	35	+	+	NOUN
ejpam-6506	107	36	4	4	NUM
ejpam-6506	107	37	)	)	PUNCT
ejpam-6506	107	38	7.2h−4h2	7.2h−4h2	NUM
ejpam-6506	107	39	+	+	NOUN
ejpam-6506	107	40	3.6h3	3.6h3	NUM
ejpam-6506	107	41	}	}	PUNCT
ejpam-6506	107	42	)	)	PUNCT
ejpam-6506	108	1	2	2	X
ejpam-6506	108	2	]	]	PUNCT
ejpam-6506	108	3	<	<	X
ejpam-6506	108	4	a	a	DET
ejpam-6506	108	5	<	<	X
ejpam-6506	108	6	1	1	NUM
ejpam-6506	108	7	7.2	7.2	NUM
ejpam-6506	108	8	,	,	PUNCT
ejpam-6506	108	9	c1	c1	PROPN
ejpam-6506	108	10	(	(	PUNCT
ejpam-6506	108	11	1	1	NUM
ejpam-6506	108	12	+	+	CCONJ
ejpam-6506	108	13	√	√	ADJ
ejpam-6506	108	14	1−	1−	NUM
ejpam-6506	108	15	7.2a	7.2a	NUM
ejpam-6506	108	16	3.6	3.6	NUM
ejpam-6506	108	17	)	)	PUNCT
ejpam-6506	108	18	2	2	NUM
ejpam-6506	108	19	+	+	X
ejpam-6506	108	20	c2	c2	PROPN
ejpam-6506	108	21	(	(	PUNCT
ejpam-6506	108	22	1	1	NUM
ejpam-6506	108	23	+	+	CCONJ
ejpam-6506	108	24	√	√	ADJ
ejpam-6506	108	25	1−	1−	NUM
ejpam-6506	108	26	7.2a	7.2a	NUM
ejpam-6506	108	27	3.6	3.6	NUM
ejpam-6506	108	28	)	)	PUNCT
ejpam-6506	108	29	+	+	CCONJ
ejpam-6506	108	30	c3	c3	X
ejpam-6506	108	31	>	>	X
ejpam-6506	108	32	0	0	NUM
ejpam-6506	108	33	,	,	PUNCT
ejpam-6506	108	34	(	(	PUNCT
ejpam-6506	108	35	6	6	NUM
ejpam-6506	108	36	)	)	PUNCT
ejpam-6506	108	37	where	where	SCONJ
ejpam-6506	108	38			NUM
ejpam-6506	108	39	c1	c1	NOUN
ejpam-6506	108	40	=	=	PROPN
ejpam-6506	108	41	−12.96h6	−12.96h6	NUM
ejpam-6506	108	42	+	+	NUM
ejpam-6506	108	43	14.4h5	14.4h5	NUM
ejpam-6506	108	44	−	−	NOUN
ejpam-6506	108	45	10.48h4	10.48h4	NUM
ejpam-6506	108	46	+	+	CCONJ
ejpam-6506	108	47	3.6h3	3.6h3	NUM
ejpam-6506	108	48	,	,	PUNCT
ejpam-6506	108	49	c2	c2	PROPN
ejpam-6506	108	50	=	=	PUNCT
ejpam-6506	108	51	7.2h6	7.2h6	NUM
ejpam-6506	109	1	+	+	CCONJ
ejpam-6506	109	2	3.2h5	3.2h5	NUM
ejpam-6506	109	3	+	+	CCONJ
ejpam-6506	109	4	1.4h4	1.4h4	NUM
ejpam-6506	109	5	−	−	PROPN
ejpam-6506	109	6	3.8h3	3.8h3	NUM
ejpam-6506	109	7	,	,	PUNCT
ejpam-6506	109	8	c3	c3	PROPN
ejpam-6506	109	9	=	=	PROPN
ejpam-6506	109	10	−h4	−h4	PROPN
ejpam-6506	109	11	−	−	PROPN
ejpam-6506	109	12	2h5	2h5	PROPN
ejpam-6506	109	13	.	.	PUNCT
ejpam-6506	110	1	(	(	PUNCT
ejpam-6506	110	2	7	7	X
ejpam-6506	110	3	)	)	PUNCT
ejpam-6506	110	4	proof	proof	NOUN
ejpam-6506	110	5	.	.	PUNCT
ejpam-6506	111	1	the	the	DET
ejpam-6506	111	2	condition	condition	NOUN
ejpam-6506	111	3	1	1	NUM
ejpam-6506	111	4	+	+	NUM
ejpam-6506	111	5	b1	b1	NOUN
ejpam-6506	111	6	+	+	CCONJ
ejpam-6506	111	7	b2	b2	NOUN
ejpam-6506	111	8	+	+	CCONJ
ejpam-6506	111	9	b3	b3	NOUN
ejpam-6506	111	10	=	=	SYM
ejpam-6506	111	11	h3(3.6x∗	h3(3.6x∗	NOUN
ejpam-6506	111	12	−	−	NOUN
ejpam-6506	111	13	1	1	NUM
ejpam-6506	111	14	)	)	PUNCT
ejpam-6506	111	15	>	>	X
ejpam-6506	111	16	0	0	PUNCT
ejpam-6506	111	17	or	or	CCONJ
ejpam-6506	111	18	x∗	x∗	X
ejpam-6506	111	19	>	>	X
ejpam-6506	111	20	1	1	NUM
ejpam-6506	111	21	3.6	3.6	NUM
ejpam-6506	111	22	is	be	AUX
ejpam-6506	111	23	fulfilled	fulfil	VERB
ejpam-6506	111	24	.	.	PUNCT
ejpam-6506	112	1	this	this	DET
ejpam-6506	112	2	condition	condition	NOUN
ejpam-6506	112	3	is	be	AUX
ejpam-6506	112	4	equivalent	equivalent	ADJ
ejpam-6506	112	5	to	to	ADP
ejpam-6506	112	6	a	a	DET
ejpam-6506	112	7	<	<	X
ejpam-6506	112	8	1	1	NUM
ejpam-6506	112	9	7.2	7.2	NUM
ejpam-6506	112	10	.	.	PUNCT
ejpam-6506	113	1	(	(	PUNCT
ejpam-6506	113	2	8)	8)	NUM
ejpam-6506	113	3	from	from	ADP
ejpam-6506	113	4	the	the	DET
ejpam-6506	113	5	condition	condition	NOUN
ejpam-6506	113	6	b2	b2	NOUN
ejpam-6506	113	7	>	>	X
ejpam-6506	113	8	3	3	NUM
ejpam-6506	113	9	,	,	PUNCT
ejpam-6506	113	10	we	we	PRON
ejpam-6506	113	11	have	have	VERB
ejpam-6506	113	12	x∗	x∗	PROPN
ejpam-6506	113	13	<	<	X
ejpam-6506	113	14	2+h	2+h	NUM
ejpam-6506	113	15	3.6	3.6	NUM
ejpam-6506	113	16	+	+	NUM
ejpam-6506	113	17	2h	2h	NUM
ejpam-6506	113	18	and	and	CCONJ
ejpam-6506	113	19	from	from	ADP
ejpam-6506	113	20	1−	1−	NUM
ejpam-6506	113	21	b1	b1	NOUN
ejpam-6506	113	22	+	+	CCONJ
ejpam-6506	113	23	b2	b2	NOUN
ejpam-6506	113	24	−	−	NOUN
ejpam-6506	113	25	b3	b3	NOUN
ejpam-6506	113	26	=	=	SYM
ejpam-6506	113	27	−	−	PROPN
ejpam-6506	113	28	(	(	PUNCT
ejpam-6506	113	29	7.2h−	7.2h−	NUM
ejpam-6506	113	30	4h2	4h2	NUM
ejpam-6506	113	31	+	+	CCONJ
ejpam-6506	113	32	3.6h3	3.6h3	NUM
ejpam-6506	113	33	)	)	PUNCT
ejpam-6506	113	34	x∗	x∗	PROPN
ejpam-6506	114	1	+	+	CCONJ
ejpam-6506	114	2	(	(	PUNCT
ejpam-6506	114	3	h+	h+	X
ejpam-6506	114	4	2)(h2	2)(h2	NUM
ejpam-6506	114	5	+	+	SYM
ejpam-6506	114	6	4	4	NUM
ejpam-6506	114	7	)	)	PUNCT
ejpam-6506	114	8	>	>	X
ejpam-6506	114	9	0	0	NUM
ejpam-6506	114	10	,	,	PUNCT
ejpam-6506	114	11	we	we	PRON
ejpam-6506	114	12	have	have	VERB
ejpam-6506	114	13	x∗	x∗	PROPN
ejpam-6506	114	14	<	<	X
ejpam-6506	114	15	(	(	PUNCT
ejpam-6506	114	16	h+2)(h2	h+2)(h2	NOUN
ejpam-6506	114	17	+	+	NOUN
ejpam-6506	114	18	4	4	NUM
ejpam-6506	114	19	)	)	PUNCT
ejpam-6506	114	20	7.2h−4h2	7.2h−4h2	NUM
ejpam-6506	114	21	+	+	NOUN
ejpam-6506	114	22	3.6h3	3.6h3	NUM
ejpam-6506	114	23	.	.	PUNCT
ejpam-6506	115	1	these	these	DET
ejpam-6506	115	2	two	two	NUM
ejpam-6506	115	3	conditions	condition	NOUN
ejpam-6506	115	4	are	be	AUX
ejpam-6506	115	5	equivalent	equivalent	ADJ
ejpam-6506	115	6	to	to	ADP
ejpam-6506	115	7	x∗	x∗	PROPN
ejpam-6506	115	8	<	<	X
ejpam-6506	115	9	min	min	PROPN
ejpam-6506	115	10	{	{	PUNCT
ejpam-6506	115	11	2	2	NUM
ejpam-6506	115	12	+	+	NUM
ejpam-6506	115	13	h	h	NOUN
ejpam-6506	115	14	3.6	3.6	NUM
ejpam-6506	115	15	+	+	NUM
ejpam-6506	115	16	2h	2h	NUM
ejpam-6506	115	17	,	,	PUNCT
ejpam-6506	115	18	(	(	PUNCT
ejpam-6506	115	19	h+	h+	X
ejpam-6506	115	20	2)(h2	2)(h2	NUM
ejpam-6506	115	21	+	+	SYM
ejpam-6506	115	22	4	4	NUM
ejpam-6506	115	23	)	)	PUNCT
ejpam-6506	115	24	7.2h−	7.2h−	NUM
ejpam-6506	115	25	4h2	4h2	NUM
ejpam-6506	115	26	+	+	CCONJ
ejpam-6506	115	27	3.6h3	3.6h3	NUM
ejpam-6506	115	28	}	}	PUNCT
ejpam-6506	115	29	or	or	CCONJ
ejpam-6506	115	30	a	a	DET
ejpam-6506	115	31	>	>	SYM
ejpam-6506	115	32	1	1	NUM
ejpam-6506	115	33	7.2	7.2	NUM
ejpam-6506	115	34	[	[	PUNCT
ejpam-6506	115	35	1−	1−	NUM
ejpam-6506	115	36	(	(	PUNCT
ejpam-6506	115	37	−	−	PROPN
ejpam-6506	115	38	1	1	NUM
ejpam-6506	115	39	+	+	X
ejpam-6506	115	40	3.6min	3.6min	NUM
ejpam-6506	115	41	{	{	PUNCT
ejpam-6506	115	42	2+h	2+h	NUM
ejpam-6506	115	43	3.6	3.6	NUM
ejpam-6506	115	44	+	+	NUM
ejpam-6506	115	45	2h	2h	NUM
ejpam-6506	115	46	,	,	PUNCT
ejpam-6506	115	47	(	(	PUNCT
ejpam-6506	115	48	h+2)(h2	h+2)(h2	NOUN
ejpam-6506	115	49	+	+	NOUN
ejpam-6506	115	50	4	4	NUM
ejpam-6506	115	51	)	)	PUNCT
ejpam-6506	115	52	7.2h−4h2	7.2h−4h2	NUM
ejpam-6506	115	53	+	+	NOUN
ejpam-6506	115	54	3.6h3	3.6h3	NUM
ejpam-6506	115	55	}	}	PUNCT
ejpam-6506	115	56	)	)	PUNCT
ejpam-6506	115	57	2	2	NUM
ejpam-6506	115	58	]	]	PUNCT
ejpam-6506	115	59	.	.	PUNCT
ejpam-6506	116	1	finally	finally	ADV
ejpam-6506	116	2	,	,	PUNCT
ejpam-6506	116	3	from	from	ADP
ejpam-6506	116	4	1−	1−	NUM
ejpam-6506	116	5	b2	b2	NOUN
ejpam-6506	116	6	+	+	CCONJ
ejpam-6506	116	7	b1b3	b1b3	PROPN
ejpam-6506	116	8	−	−	PROPN
ejpam-6506	116	9	b23	b23	PROPN
ejpam-6506	116	10	>	>	X
ejpam-6506	116	11	0	0	PROPN
ejpam-6506	116	12	,	,	PUNCT
ejpam-6506	116	13	we	we	PRON
ejpam-6506	116	14	obtain	obtain	VERB
ejpam-6506	116	15	c1(x	c1(x	PRON
ejpam-6506	116	16	∗)2	∗)2	ADJ
ejpam-6506	116	17	+	+	CCONJ
ejpam-6506	116	18	c2x	c2x	NOUN
ejpam-6506	116	19	∗	∗	VERB
ejpam-6506	116	20	+	+	CCONJ
ejpam-6506	116	21	c3	c3	X
ejpam-6506	116	22	>	>	X
ejpam-6506	116	23	0	0	NUM
ejpam-6506	116	24	,	,	PUNCT
ejpam-6506	116	25	i.e.	i.e.	X
ejpam-6506	116	26	,	,	PUNCT
ejpam-6506	116	27	c1	c1	PROPN
ejpam-6506	116	28	(	(	PUNCT
ejpam-6506	116	29	1	1	NUM
ejpam-6506	116	30	+	+	CCONJ
ejpam-6506	116	31	√	√	ADJ
ejpam-6506	116	32	1−	1−	NUM
ejpam-6506	116	33	7.2a	7.2a	NUM
ejpam-6506	116	34	3.6	3.6	NUM
ejpam-6506	116	35	)	)	PUNCT
ejpam-6506	116	36	2	2	NUM
ejpam-6506	117	1	+	+	X
ejpam-6506	117	2	c2	c2	PROPN
ejpam-6506	117	3	(	(	PUNCT
ejpam-6506	117	4	1	1	NUM
ejpam-6506	117	5	+	+	CCONJ
ejpam-6506	117	6	√	√	ADJ
ejpam-6506	117	7	1−	1−	NUM
ejpam-6506	117	8	7.2a	7.2a	NUM
ejpam-6506	117	9	3.6	3.6	NUM
ejpam-6506	117	10	)	)	PUNCT
ejpam-6506	118	1	+	+	CCONJ
ejpam-6506	118	2	c3	c3	X
ejpam-6506	118	3	>	>	X
ejpam-6506	118	4	0	0	PROPN
ejpam-6506	118	5	,	,	PUNCT
ejpam-6506	118	6	where	where	SCONJ
ejpam-6506	118	7	c1	c1	PROPN
ejpam-6506	118	8	,	,	PUNCT
ejpam-6506	118	9	c2	c2	PROPN
ejpam-6506	118	10	,	,	PUNCT
ejpam-6506	118	11	and	and	CCONJ
ejpam-6506	118	12	c3	c3	PROPN
ejpam-6506	118	13	are	be	AUX
ejpam-6506	118	14	expressed	express	VERB
ejpam-6506	118	15	as	as	ADP
ejpam-6506	118	16	(	(	PUNCT
ejpam-6506	118	17	7	7	NUM
ejpam-6506	118	18	)	)	PUNCT
ejpam-6506	118	19	.	.	PUNCT
ejpam-6506	119	1	as	as	ADP
ejpam-6506	119	2	a	a	DET
ejpam-6506	119	3	simple	simple	ADJ
ejpam-6506	119	4	illustration	illustration	NOUN
ejpam-6506	119	5	,	,	PUNCT
ejpam-6506	119	6	consider	consider	VERB
ejpam-6506	119	7	parameter	parameter	NOUN
ejpam-6506	119	8	choice	choice	NOUN
ejpam-6506	119	9	(	(	PUNCT
ejpam-6506	119	10	a	a	DET
ejpam-6506	119	11	,	,	PUNCT
ejpam-6506	119	12	h	h	NOUN
ejpam-6506	119	13	)	)	PUNCT
ejpam-6506	119	14	=	=	SYM
ejpam-6506	119	15	(	(	PUNCT
ejpam-6506	119	16	−2	−2	NOUN
ejpam-6506	119	17	,	,	PUNCT
ejpam-6506	119	18	0.01	0.01	NUM
ejpam-6506	119	19	)	)	PUNCT
ejpam-6506	119	20	.	.	PUNCT
ejpam-6506	120	1	substituting	substitute	VERB
ejpam-6506	120	2	into	into	ADP
ejpam-6506	120	3	the	the	DET
ejpam-6506	120	4	jury	jury	NOUN
ejpam-6506	120	5	conditions	condition	NOUN
ejpam-6506	120	6	yields	yield	VERB
ejpam-6506	120	7	1	1	NUM
ejpam-6506	121	1	+	+	NUM
ejpam-6506	121	2	b1	b1	NOUN
ejpam-6506	121	3	+	+	CCONJ
ejpam-6506	121	4	b2	b2	NOUN
ejpam-6506	121	5	+	+	CCONJ
ejpam-6506	121	6	b3	b3	PROPN
ejpam-6506	121	7	≈	≈	PROPN
ejpam-6506	121	8	1.6	1.6	NUM
ejpam-6506	121	9	×	×	NOUN
ejpam-6506	121	10	10−6	10−6	NUM
ejpam-6506	121	11	>	>	X
ejpam-6506	121	12	0	0	NUM
ejpam-6506	121	13	,	,	PUNCT
ejpam-6506	121	14	1	1	NUM
ejpam-6506	121	15	−	−	NOUN
ejpam-6506	121	16	b1	b1	NOUN
ejpam-6506	121	17	+	+	CCONJ
ejpam-6506	121	18	b2	b2	NOUN
ejpam-6506	121	19	−	−	PROPN
ejpam-6506	121	20	b3	b3	PROPN
ejpam-6506	121	21	≈	≈	PROPN
ejpam-6506	121	22	7.94	7.94	NUM
ejpam-6506	121	23	>	>	SYM
ejpam-6506	121	24	0	0	NUM
ejpam-6506	121	25	,	,	PUNCT
ejpam-6506	121	26	1	1	NUM
ejpam-6506	121	27	−	−	NOUN
ejpam-6506	121	28	b2	b2	NOUN
ejpam-6506	121	29	+	+	CCONJ
ejpam-6506	121	30	b1b3	b1b3	PROPN
ejpam-6506	121	31	−	−	PROPN
ejpam-6506	121	32	b23	b23	PROPN
ejpam-6506	122	1	≈	≈	PROPN
ejpam-6506	122	2	1.3	1.3	NUM
ejpam-6506	122	3	×	×	NOUN
ejpam-6506	122	4	10−6	10−6	NUM
ejpam-6506	122	5	>	>	X
ejpam-6506	122	6	0	0	NUM
ejpam-6506	122	7	,	,	PUNCT
ejpam-6506	122	8	and	and	CCONJ
ejpam-6506	122	9	|b3|	|b3|	X
ejpam-6506	123	1	≈	≈	PROPN
ejpam-6506	123	2	0.986	0.986	NUM
ejpam-6506	123	3	<	<	X
ejpam-6506	123	4	1	1	NUM
ejpam-6506	123	5	.	.	PUNCT
ejpam-6506	124	1	all	all	DET
ejpam-6506	124	2	conditions	condition	NOUN
ejpam-6506	124	3	are	be	AUX
ejpam-6506	124	4	satisfied	satisfied	ADJ
ejpam-6506	124	5	,	,	PUNCT
ejpam-6506	124	6	confirming	confirm	VERB
ejpam-6506	124	7	that	that	SCONJ
ejpam-6506	124	8	e∗	e∗	PROPN
ejpam-6506	124	9	1	1	NUM
ejpam-6506	124	10	is	be	AUX
ejpam-6506	124	11	stable	stable	ADJ
ejpam-6506	124	12	.	.	PUNCT
ejpam-6506	125	1	in	in	ADP
ejpam-6506	125	2	contrast	contrast	NOUN
ejpam-6506	125	3	,	,	PUNCT
ejpam-6506	125	4	for	for	ADP
ejpam-6506	125	5	(	(	PUNCT
ejpam-6506	125	6	a	a	DET
ejpam-6506	125	7	,	,	PUNCT
ejpam-6506	125	8	h	h	NOUN
ejpam-6506	125	9	)	)	PUNCT
ejpam-6506	125	10	=	=	SYM
ejpam-6506	125	11	(	(	PUNCT
ejpam-6506	125	12	0.01	0.01	NUM
ejpam-6506	125	13	,	,	PUNCT
ejpam-6506	125	14	0.01	0.01	NUM
ejpam-6506	125	15	)	)	PUNCT
ejpam-6506	125	16	the	the	DET
ejpam-6506	125	17	third	third	ADJ
ejpam-6506	125	18	m.	m.	NOUN
ejpam-6506	125	19	f.	f.	PROPN
ejpam-6506	125	20	ansori	ansori	PROPN
ejpam-6506	125	21	et	et	PROPN
ejpam-6506	125	22	al	al	PROPN
ejpam-6506	125	23	.	.	PUNCT
ejpam-6506	125	24	/	/	SYM
ejpam-6506	125	25	eur	eur	PROPN
ejpam-6506	125	26	.	.	PUNCT
ejpam-6506	126	1	j.	j.	PROPN
ejpam-6506	126	2	pure	pure	PROPN
ejpam-6506	126	3	appl	appl	PROPN
ejpam-6506	126	4	.	.	PROPN
ejpam-6506	126	5	math	math	PROPN
ejpam-6506	126	6	,	,	PUNCT
ejpam-6506	126	7	18	18	NUM
ejpam-6506	126	8	(	(	PUNCT
ejpam-6506	126	9	4	4	NUM
ejpam-6506	126	10	)	)	PUNCT
ejpam-6506	126	11	(	(	PUNCT
ejpam-6506	126	12	2025	2025	NUM
ejpam-6506	126	13	)	)	PUNCT
ejpam-6506	126	14	,	,	PUNCT
ejpam-6506	126	15	6506	6506	NUM
ejpam-6506	126	16	6	6	NUM
ejpam-6506	126	17	of	of	ADP
ejpam-6506	126	18	27	27	NUM
ejpam-6506	126	19	inequality	inequality	NOUN
ejpam-6506	126	20	becomes	become	VERB
ejpam-6506	126	21	negative	negative	ADJ
ejpam-6506	126	22	,	,	PUNCT
ejpam-6506	126	23	which	which	PRON
ejpam-6506	126	24	indicates	indicate	VERB
ejpam-6506	126	25	that	that	SCONJ
ejpam-6506	126	26	e∗	e∗	PROPN
ejpam-6506	126	27	1	1	NUM
ejpam-6506	126	28	is	be	AUX
ejpam-6506	126	29	unstable	unstable	ADJ
ejpam-6506	126	30	.	.	PUNCT
ejpam-6506	127	1	these	these	DET
ejpam-6506	127	2	numerical	numerical	ADJ
ejpam-6506	127	3	results	result	NOUN
ejpam-6506	127	4	are	be	AUX
ejpam-6506	127	5	consistent	consistent	ADJ
ejpam-6506	127	6	with	with	ADP
ejpam-6506	127	7	the	the	DET
ejpam-6506	127	8	stability	stability	NOUN
ejpam-6506	127	9	regions	region	NOUN
ejpam-6506	127	10	shown	show	VERB
ejpam-6506	127	11	in	in	ADP
ejpam-6506	127	12	fig	fig	NOUN
ejpam-6506	127	13	.	.	PUNCT
ejpam-6506	128	1	1	1	X
ejpam-6506	128	2	.	.	X
ejpam-6506	128	3	in	in	ADP
ejpam-6506	128	4	the	the	DET
ejpam-6506	128	5	sense	sense	NOUN
ejpam-6506	128	6	of	of	ADP
ejpam-6506	128	7	linearization	linearization	NOUN
ejpam-6506	128	8	,	,	PUNCT
ejpam-6506	128	9	the	the	DET
ejpam-6506	128	10	stability	stability	NOUN
ejpam-6506	128	11	conditions	condition	NOUN
ejpam-6506	128	12	derived	derive	VERB
ejpam-6506	128	13	(	(	PUNCT
ejpam-6506	128	14	6	6	NUM
ejpam-6506	128	15	)	)	PUNCT
ejpam-6506	128	16	are	be	AUX
ejpam-6506	128	17	local	local	ADJ
ejpam-6506	128	18	in	in	ADP
ejpam-6506	128	19	the	the	DET
ejpam-6506	128	20	sense	sense	NOUN
ejpam-6506	128	21	of	of	ADP
ejpam-6506	128	22	linearization	linearization	NOUN
ejpam-6506	128	23	:	:	PUNCT
ejpam-6506	128	24	they	they	PRON
ejpam-6506	128	25	characterize	characterize	VERB
ejpam-6506	128	26	the	the	DET
ejpam-6506	128	27	behavior	behavior	NOUN
ejpam-6506	128	28	in	in	ADP
ejpam-6506	128	29	the	the	DET
ejpam-6506	128	30	neighborhood	neighborhood	NOUN
ejpam-6506	128	31	of	of	ADP
ejpam-6506	128	32	the	the	DET
ejpam-6506	128	33	equilibrium	equilibrium	NOUN
ejpam-6506	128	34	using	use	VERB
ejpam-6506	128	35	the	the	DET
ejpam-6506	128	36	jacobian	jacobian	ADJ
ejpam-6506	128	37	and	and	CCONJ
ejpam-6506	128	38	jury	jury	NOUN
ejpam-6506	128	39	criteria	criterion	NOUN
ejpam-6506	128	40	.	.	PUNCT
ejpam-6506	129	1	they	they	PRON
ejpam-6506	129	2	do	do	AUX
ejpam-6506	129	3	not	not	PART
ejpam-6506	129	4	establish	establish	VERB
ejpam-6506	129	5	global	global	ADJ
ejpam-6506	129	6	asymptotic	asymptotic	ADJ
ejpam-6506	129	7	stability	stability	NOUN
ejpam-6506	129	8	nor	nor	CCONJ
ejpam-6506	129	9	do	do	AUX
ejpam-6506	129	10	they	they	PRON
ejpam-6506	129	11	describe	describe	VERB
ejpam-6506	129	12	transient	transient	ADJ
ejpam-6506	129	13	behavior	behavior	NOUN
ejpam-6506	129	14	(	(	PUNCT
ejpam-6506	129	15	e.g.	e.g.	ADV
ejpam-6506	129	16	,	,	PUNCT
ejpam-6506	129	17	basins	basin	NOUN
ejpam-6506	129	18	of	of	ADP
ejpam-6506	129	19	attraction	attraction	NOUN
ejpam-6506	129	20	,	,	PUNCT
ejpam-6506	129	21	multistability	multistability	NOUN
ejpam-6506	129	22	,	,	PUNCT
ejpam-6506	129	23	or	or	CCONJ
ejpam-6506	129	24	transient	transient	ADJ
ejpam-6506	129	25	chaos	chaos	NOUN
ejpam-6506	129	26	)	)	PUNCT
ejpam-6506	129	27	.	.	PUNCT
ejpam-6506	130	1	consequently	consequently	ADV
ejpam-6506	130	2	,	,	PUNCT
ejpam-6506	130	3	the	the	DET
ejpam-6506	130	4	numerical	numerical	ADJ
ejpam-6506	130	5	explorations	exploration	NOUN
ejpam-6506	130	6	that	that	PRON
ejpam-6506	130	7	follow	follow	VERB
ejpam-6506	130	8	are	be	AUX
ejpam-6506	130	9	intended	intend	VERB
ejpam-6506	130	10	to	to	PART
ejpam-6506	130	11	complement	complement	VERB
ejpam-6506	130	12	the	the	DET
ejpam-6506	130	13	local	local	ADJ
ejpam-6506	130	14	theory	theory	NOUN
ejpam-6506	130	15	rather	rather	ADV
ejpam-6506	130	16	than	than	ADP
ejpam-6506	130	17	imply	imply	VERB
ejpam-6506	130	18	global	global	ADJ
ejpam-6506	130	19	guarantees	guarantee	NOUN
ejpam-6506	130	20	.	.	PUNCT
ejpam-6506	131	1	after	after	ADP
ejpam-6506	131	2	obtaining	obtain	VERB
ejpam-6506	131	3	the	the	DET
ejpam-6506	131	4	analytical	analytical	ADJ
ejpam-6506	131	5	conditions	condition	NOUN
ejpam-6506	131	6	through	through	ADP
ejpam-6506	131	7	the	the	DET
ejpam-6506	131	8	jury	jury	NOUN
ejpam-6506	131	9	criteria	criterion	NOUN
ejpam-6506	131	10	,	,	PUNCT
ejpam-6506	131	11	we	we	PRON
ejpam-6506	131	12	numerically	numerically	ADV
ejpam-6506	131	13	verified	verify	VERB
ejpam-6506	131	14	the	the	DET
ejpam-6506	131	15	results	result	NOUN
ejpam-6506	131	16	by	by	ADP
ejpam-6506	131	17	calculating	calculate	VERB
ejpam-6506	131	18	the	the	DET
ejpam-6506	131	19	jacobian	jacobian	ADJ
ejpam-6506	131	20	eigenvalues	eigenvalue	NOUN
ejpam-6506	131	21	on	on	ADP
ejpam-6506	131	22	the	the	DET
ejpam-6506	131	23	parameter	parameter	NOUN
ejpam-6506	131	24	grid	grid	NOUN
ejpam-6506	131	25	(	(	PUNCT
ejpam-6506	131	26	a	a	DET
ejpam-6506	131	27	,	,	PUNCT
ejpam-6506	131	28	h	h	NOUN
ejpam-6506	131	29	)	)	PUNCT
ejpam-6506	131	30	.	.	PUNCT
ejpam-6506	132	1	(	(	PUNCT
ejpam-6506	132	2	a	a	X
ejpam-6506	132	3	)	)	PUNCT
ejpam-6506	132	4	(	(	PUNCT
ejpam-6506	132	5	b	b	X
ejpam-6506	132	6	)	)	PUNCT
ejpam-6506	132	7	figure	figure	NOUN
ejpam-6506	132	8	1	1	NUM
ejpam-6506	132	9	:	:	PUNCT
ejpam-6506	132	10	two	two	NUM
ejpam-6506	132	11	-	-	PUNCT
ejpam-6506	132	12	parameter	parameter	NOUN
ejpam-6506	132	13	stability	stability	NOUN
ejpam-6506	132	14	maps	map	NOUN
ejpam-6506	132	15	for	for	ADP
ejpam-6506	132	16	the	the	DET
ejpam-6506	132	17	standard	standard	PROPN
ejpam-6506	132	18	euler	euler	NOUN
ejpam-6506	132	19	scheme	scheme	NOUN
ejpam-6506	132	20	in	in	ADP
ejpam-6506	132	21	the	the	DET
ejpam-6506	132	22	(	(	PUNCT
ejpam-6506	132	23	a	a	PROPN
ejpam-6506	132	24	,	,	PUNCT
ejpam-6506	132	25	h	h	NOUN
ejpam-6506	132	26	)	)	PUNCT
ejpam-6506	132	27	plane	plane	NOUN
ejpam-6506	132	28	.	.	PUNCT
ejpam-6506	133	1	panel	panel	NOUN
ejpam-6506	133	2	(	(	PUNCT
ejpam-6506	133	3	a	a	X
ejpam-6506	133	4	)	)	PUNCT
ejpam-6506	133	5	shows	show	VERB
ejpam-6506	133	6	the	the	DET
ejpam-6506	133	7	equilibrium	equilibrium	NOUN
ejpam-6506	133	8	e∗	e∗	NOUN
ejpam-6506	133	9	1	1	NUM
ejpam-6506	133	10	and	and	CCONJ
ejpam-6506	133	11	panel	panel	NOUN
ejpam-6506	133	12	(	(	PUNCT
ejpam-6506	133	13	b	b	NOUN
ejpam-6506	133	14	)	)	PUNCT
ejpam-6506	133	15	shows	show	VERB
ejpam-6506	133	16	the	the	DET
ejpam-6506	133	17	equilibrium	equilibrium	NOUN
ejpam-6506	133	18	e∗	e∗	NOUN
ejpam-6506	133	19	2	2	NUM
ejpam-6506	133	20	.	.	PUNCT
ejpam-6506	134	1	blue	blue	NOUN
ejpam-6506	134	2	indicates	indicate	VERB
ejpam-6506	134	3	stability	stability	NOUN
ejpam-6506	134	4	and	and	CCONJ
ejpam-6506	134	5	gray	gray	ADJ
ejpam-6506	134	6	denotes	denote	NOUN
ejpam-6506	134	7	instability	instability	NOUN
ejpam-6506	134	8	.	.	PUNCT
ejpam-6506	135	1	regions	region	NOUN
ejpam-6506	135	2	with	with	ADP
ejpam-6506	135	3	a	a	DET
ejpam-6506	135	4	>	>	X
ejpam-6506	135	5	1/7.2	1/7.2	NUM
ejpam-6506	135	6	(	(	PUNCT
ejpam-6506	135	7	to	to	ADP
ejpam-6506	135	8	the	the	DET
ejpam-6506	135	9	right	right	NOUN
ejpam-6506	135	10	of	of	ADP
ejpam-6506	135	11	the	the	DET
ejpam-6506	135	12	dotted	dotted	ADJ
ejpam-6506	135	13	vertical	vertical	ADJ
ejpam-6506	135	14	line	line	NOUN
ejpam-6506	135	15	)	)	PUNCT
ejpam-6506	135	16	have	have	VERB
ejpam-6506	135	17	no	no	DET
ejpam-6506	135	18	equilibria	equilibria	NOUN
ejpam-6506	135	19	.	.	PUNCT
ejpam-6506	136	1	figure	figure	NOUN
ejpam-6506	136	2	1	1	NUM
ejpam-6506	136	3	shows	show	VERB
ejpam-6506	136	4	the	the	DET
ejpam-6506	136	5	numerical	numerical	PROPN
ejpam-6506	136	6	stability	stability	PROPN
ejpam-6506	136	7	map	map	NOUN
ejpam-6506	136	8	for	for	ADP
ejpam-6506	136	9	the	the	DET
ejpam-6506	136	10	equilibrium	equilibrium	NOUN
ejpam-6506	136	11	points	point	NOUN
ejpam-6506	136	12	e∗	e∗	PROPN
ejpam-6506	136	13	1	1	NUM
ejpam-6506	136	14	and	and	CCONJ
ejpam-6506	136	15	e∗	e∗	PROPN
ejpam-6506	136	16	2	2	NUM
ejpam-6506	136	17	using	use	VERB
ejpam-6506	136	18	the	the	DET
ejpam-6506	136	19	standard	standard	PROPN
ejpam-6506	136	20	euler	euler	NOUN
ejpam-6506	136	21	scheme	scheme	NOUN
ejpam-6506	136	22	.	.	PUNCT
ejpam-6506	137	1	consistent	consistent	ADJ
ejpam-6506	137	2	with	with	ADP
ejpam-6506	137	3	the	the	DET
ejpam-6506	137	4	analytical	analytical	ADJ
ejpam-6506	137	5	results	result	NOUN
ejpam-6506	137	6	,	,	PUNCT
ejpam-6506	137	7	only	only	ADV
ejpam-6506	137	8	e∗	e∗	PROPN
ejpam-6506	137	9	1	1	NUM
ejpam-6506	137	10	has	have	VERB
ejpam-6506	137	11	a	a	DET
ejpam-6506	137	12	stability	stability	NOUN
ejpam-6506	137	13	domain	domain	NOUN
ejpam-6506	137	14	in	in	ADP
ejpam-6506	137	15	the	the	DET
ejpam-6506	137	16	region	region	NOUN
ejpam-6506	137	17	a	a	DET
ejpam-6506	137	18	<	<	X
ejpam-6506	137	19	0	0	NUM
ejpam-6506	137	20	with	with	ADP
ejpam-6506	137	21	sufficiently	sufficiently	ADV
ejpam-6506	137	22	small	small	ADJ
ejpam-6506	137	23	h	h	NOUN
ejpam-6506	137	24	,	,	PUNCT
ejpam-6506	137	25	whereas	whereas	SCONJ
ejpam-6506	137	26	e∗	e∗	PROPN
ejpam-6506	137	27	2	2	NUM
ejpam-6506	137	28	is	be	AUX
ejpam-6506	137	29	always	always	ADV
ejpam-6506	137	30	unstable	unstable	ADJ
ejpam-6506	137	31	for	for	ADP
ejpam-6506	137	32	all	all	DET
ejpam-6506	137	33	pairs	pair	NOUN
ejpam-6506	137	34	(	(	PUNCT
ejpam-6506	137	35	a	a	DET
ejpam-6506	137	36	,	,	PUNCT
ejpam-6506	137	37	h	h	NOUN
ejpam-6506	137	38	)	)	PUNCT
ejpam-6506	137	39	.	.	PUNCT
ejpam-6506	138	1	furthermore	furthermore	ADV
ejpam-6506	138	2	,	,	PUNCT
ejpam-6506	138	3	the	the	PRON
ejpam-6506	138	4	larger	large	ADJ
ejpam-6506	138	5	the	the	DET
ejpam-6506	138	6	value	value	NOUN
ejpam-6506	138	7	of	of	ADP
ejpam-6506	138	8	h	h	NOUN
ejpam-6506	138	9	,	,	PUNCT
ejpam-6506	138	10	the	the	PRON
ejpam-6506	138	11	narrower	narrow	ADJ
ejpam-6506	138	12	the	the	DET
ejpam-6506	138	13	range	range	NOUN
ejpam-6506	138	14	of	of	ADP
ejpam-6506	138	15	a	a	DET
ejpam-6506	138	16	that	that	PRON
ejpam-6506	138	17	results	result	NOUN
ejpam-6506	138	18	in	in	ADP
ejpam-6506	138	19	stability	stability	NOUN
ejpam-6506	138	20	.	.	PUNCT
ejpam-6506	139	1	2.2	2.2	NUM
ejpam-6506	139	2	.	.	PUNCT
ejpam-6506	139	3	vanishing	vanish	VERB
ejpam-6506	139	4	step	step	NOUN
ejpam-6506	139	5	-	-	PUNCT
ejpam-6506	139	6	size	size	NOUN
ejpam-6506	139	7	limit	limit	NOUN
ejpam-6506	139	8	(	(	PUNCT
ejpam-6506	139	9	h	h	NOUN
ejpam-6506	139	10	→	→	SYM
ejpam-6506	139	11	0	0	NUM
ejpam-6506	139	12	)	)	PUNCT
ejpam-6506	139	13	the	the	DET
ejpam-6506	139	14	equilibrium	equilibrium	NOUN
ejpam-6506	139	15	of	of	ADP
ejpam-6506	139	16	the	the	DET
ejpam-6506	139	17	discrete	discrete	ADJ
ejpam-6506	139	18	-	-	PUNCT
ejpam-6506	139	19	time	time	NOUN
ejpam-6506	139	20	system	system	NOUN
ejpam-6506	139	21	(	(	PUNCT
ejpam-6506	139	22	2	2	X
ejpam-6506	139	23	)	)	PUNCT
ejpam-6506	139	24	coincides	coincide	VERB
ejpam-6506	139	25	with	with	ADP
ejpam-6506	139	26	that	that	PRON
ejpam-6506	139	27	of	of	ADP
ejpam-6506	139	28	the	the	DET
ejpam-6506	139	29	continuoustime	continuoustime	ADJ
ejpam-6506	139	30	system	system	NOUN
ejpam-6506	139	31	(	(	PUNCT
ejpam-6506	139	32	1	1	NUM
ejpam-6506	139	33	)	)	PUNCT
ejpam-6506	139	34	.	.	PUNCT
ejpam-6506	140	1	moreover	moreover	ADV
ejpam-6506	140	2	,	,	PUNCT
ejpam-6506	140	3	the	the	DET
ejpam-6506	140	4	jacobian	jacobian	PROPN
ejpam-6506	140	5	j(e	j(e	PROPN
ejpam-6506	140	6	)	)	PUNCT
ejpam-6506	140	7	can	can	AUX
ejpam-6506	140	8	be	be	AUX
ejpam-6506	140	9	written	write	VERB
ejpam-6506	140	10	as	as	ADP
ejpam-6506	140	11	j(e	j(e	PROPN
ejpam-6506	140	12	)	)	PUNCT
ejpam-6506	141	1	=	=	SYM
ejpam-6506	142	1	i	i	PRON
ejpam-6506	142	2	+	+	X
ejpam-6506	142	3	ha(e	ha(e	NOUN
ejpam-6506	142	4	)	)	PUNCT
ejpam-6506	142	5	,	,	PUNCT
ejpam-6506	142	6	m.	m.	PROPN
ejpam-6506	142	7	f.	f.	PROPN
ejpam-6506	142	8	ansori	ansori	PROPN
ejpam-6506	142	9	et	et	PROPN
ejpam-6506	142	10	al	al	PROPN
ejpam-6506	142	11	.	.	PUNCT
ejpam-6506	142	12	/	/	SYM
ejpam-6506	142	13	eur	eur	PROPN
ejpam-6506	142	14	.	.	PUNCT
ejpam-6506	143	1	j.	j.	PROPN
ejpam-6506	143	2	pure	pure	PROPN
ejpam-6506	143	3	appl	appl	PROPN
ejpam-6506	143	4	.	.	PROPN
ejpam-6506	143	5	math	math	PROPN
ejpam-6506	143	6	,	,	PUNCT
ejpam-6506	143	7	18	18	NUM
ejpam-6506	143	8	(	(	PUNCT
ejpam-6506	143	9	4	4	NUM
ejpam-6506	143	10	)	)	PUNCT
ejpam-6506	143	11	(	(	PUNCT
ejpam-6506	143	12	2025	2025	NUM
ejpam-6506	143	13	)	)	PUNCT
ejpam-6506	143	14	,	,	PUNCT
ejpam-6506	143	15	6506	6506	NUM
ejpam-6506	143	16	7	7	NUM
ejpam-6506	143	17	of	of	ADP
ejpam-6506	143	18	27	27	NUM
ejpam-6506	143	19	where	where	SCONJ
ejpam-6506	143	20	a(e	a(e	NOUN
ejpam-6506	143	21	)	)	PUNCT
ejpam-6506	143	22	is	be	AUX
ejpam-6506	143	23	the	the	DET
ejpam-6506	143	24	jacobian	jacobian	NOUN
ejpam-6506	143	25	of	of	ADP
ejpam-6506	143	26	ode	ode	PROPN
ejpam-6506	143	27	(	(	PUNCT
ejpam-6506	143	28	1	1	NUM
ejpam-6506	143	29	)	)	PUNCT
ejpam-6506	143	30	at	at	ADP
ejpam-6506	143	31	equilibrium	equilibrium	NOUN
ejpam-6506	143	32	e	e	NOUN
ejpam-6506	143	33	=	=	SYM
ejpam-6506	143	34	(	(	PUNCT
ejpam-6506	143	35	x	x	X
ejpam-6506	143	36	,	,	PUNCT
ejpam-6506	143	37	0	0	NUM
ejpam-6506	143	38	,	,	PUNCT
ejpam-6506	143	39	x	x	NOUN
ejpam-6506	143	40	)	)	PUNCT
ejpam-6506	143	41	.	.	PUNCT
ejpam-6506	144	1	this	this	DET
ejpam-6506	144	2	representation	representation	NOUN
ejpam-6506	144	3	allows	allow	VERB
ejpam-6506	144	4	a	a	DET
ejpam-6506	144	5	direct	direct	ADJ
ejpam-6506	144	6	comparison	comparison	NOUN
ejpam-6506	144	7	of	of	ADP
ejpam-6506	144	8	the	the	DET
ejpam-6506	144	9	spectral	spectral	ADJ
ejpam-6506	144	10	properties	property	NOUN
ejpam-6506	144	11	of	of	ADP
ejpam-6506	144	12	discrete	discrete	ADJ
ejpam-6506	144	13	and	and	CCONJ
ejpam-6506	144	14	continuous	continuous	ADJ
ejpam-6506	144	15	systems	system	NOUN
ejpam-6506	144	16	.	.	PUNCT
ejpam-6506	145	1	theorem	theorem	ADJ
ejpam-6506	145	2	2	2	NUM
ejpam-6506	145	3	(	(	PUNCT
ejpam-6506	145	4	spectral	spectral	ADJ
ejpam-6506	145	5	consistency	consistency	NOUN
ejpam-6506	145	6	as	as	ADP
ejpam-6506	145	7	h	h	NOUN
ejpam-6506	145	8	→	→	SYM
ejpam-6506	145	9	0	0	NUM
ejpam-6506	145	10	)	)	PUNCT
ejpam-6506	145	11	.	.	PUNCT
ejpam-6506	146	1	let	let	VERB
ejpam-6506	146	2	µ1	µ1	PROPN
ejpam-6506	146	3	,	,	PUNCT
ejpam-6506	146	4	µ2	µ2	PROPN
ejpam-6506	146	5	,	,	PUNCT
ejpam-6506	146	6	µ3	µ3	NOUN
ejpam-6506	146	7	be	be	AUX
ejpam-6506	146	8	the	the	DET
ejpam-6506	146	9	eigenvalues	eigenvalue	NOUN
ejpam-6506	146	10	of	of	ADP
ejpam-6506	146	11	a(e	a(e	NOUN
ejpam-6506	146	12	)	)	PUNCT
ejpam-6506	146	13	at	at	ADP
ejpam-6506	146	14	an	an	DET
ejpam-6506	146	15	equilibrium	equilibrium	NOUN
ejpam-6506	146	16	e	e	NOUN
ejpam-6506	146	17	of	of	ADP
ejpam-6506	146	18	(	(	PUNCT
ejpam-6506	146	19	1	1	NUM
ejpam-6506	146	20	)	)	PUNCT
ejpam-6506	146	21	,	,	PUNCT
ejpam-6506	146	22	and	and	CCONJ
ejpam-6506	146	23	let	let	VERB
ejpam-6506	146	24	λ1(h	λ1(h	NOUN
ejpam-6506	146	25	)	)	PUNCT
ejpam-6506	146	26	,	,	PUNCT
ejpam-6506	146	27	λ2(h	λ2(h	NOUN
ejpam-6506	146	28	)	)	PUNCT
ejpam-6506	146	29	,	,	PUNCT
ejpam-6506	146	30	λ3(h	λ3(h	PROPN
ejpam-6506	146	31	)	)	PUNCT
ejpam-6506	146	32	be	be	VERB
ejpam-6506	146	33	the	the	DET
ejpam-6506	146	34	eigenvalues	eigenvalue	NOUN
ejpam-6506	146	35	of	of	ADP
ejpam-6506	146	36	j(e	j(e	PROPN
ejpam-6506	146	37	)	)	PUNCT
ejpam-6506	146	38	at	at	ADP
ejpam-6506	146	39	the	the	DET
ejpam-6506	146	40	same	same	ADJ
ejpam-6506	146	41	point	point	NOUN
ejpam-6506	146	42	.	.	PUNCT
ejpam-6506	147	1	then	then	ADV
ejpam-6506	147	2	λi(h	λi(h	NOUN
ejpam-6506	147	3	)	)	PUNCT
ejpam-6506	147	4	=	=	SYM
ejpam-6506	148	1	1	1	NUM
ejpam-6506	148	2	+	+	NUM
ejpam-6506	148	3	hµi	hµi	ADJ
ejpam-6506	148	4	+	+	NOUN
ejpam-6506	148	5	o(h2	o(h2	NOUN
ejpam-6506	148	6	)	)	PUNCT
ejpam-6506	148	7	,	,	PUNCT
ejpam-6506	148	8	h	h	NOUN
ejpam-6506	148	9	→	→	SYM
ejpam-6506	148	10	0	0	NUM
ejpam-6506	148	11	,	,	PUNCT
ejpam-6506	148	12	i	i	PRON
ejpam-6506	148	13	=	=	NOUN
ejpam-6506	148	14	1	1	NUM
ejpam-6506	148	15	,	,	PUNCT
ejpam-6506	148	16	2	2	NUM
ejpam-6506	148	17	,	,	PUNCT
ejpam-6506	148	18	3	3	NUM
ejpam-6506	148	19	.	.	PUNCT
ejpam-6506	149	1	in	in	ADP
ejpam-6506	149	2	particular	particular	ADJ
ejpam-6506	149	3	,	,	PUNCT
ejpam-6506	149	4	if	if	SCONJ
ejpam-6506	149	5	ℜ(µi	ℜ(µi	NUM
ejpam-6506	149	6	)	)	PUNCT
ejpam-6506	149	7	<	<	X
ejpam-6506	149	8	0	0	PUNCT
ejpam-6506	150	1	for	for	ADP
ejpam-6506	150	2	all	all	DET
ejpam-6506	150	3	i	i	PRON
ejpam-6506	150	4	,	,	PUNCT
ejpam-6506	150	5	then	then	ADV
ejpam-6506	150	6	there	there	PRON
ejpam-6506	150	7	exists	exist	VERB
ejpam-6506	150	8	h∗	h∗	PROPN
ejpam-6506	150	9	>	>	X
ejpam-6506	150	10	0	0	NUM
ejpam-6506	151	1	such	such	ADJ
ejpam-6506	151	2	that	that	SCONJ
ejpam-6506	151	3	|λi(h)|	|λi(h)|	NOUN
ejpam-6506	151	4	<	<	X
ejpam-6506	151	5	1	1	NUM
ejpam-6506	151	6	for	for	ADP
ejpam-6506	151	7	all	all	PRON
ejpam-6506	151	8	0	0	NUM
ejpam-6506	151	9	<	<	X
ejpam-6506	151	10	h	h	X
ejpam-6506	151	11	<	<	X
ejpam-6506	151	12	h∗.	h∗.	VERB
ejpam-6506	151	13	proof	proof	NOUN
ejpam-6506	151	14	.	.	PUNCT
ejpam-6506	152	1	the	the	DET
ejpam-6506	152	2	characteristic	characteristic	ADJ
ejpam-6506	152	3	equation	equation	NOUN
ejpam-6506	152	4	of	of	ADP
ejpam-6506	152	5	j(e	j(e	PROPN
ejpam-6506	152	6	)	)	PUNCT
ejpam-6506	152	7	is	be	AUX
ejpam-6506	152	8	det(λi	det(λi	VERB
ejpam-6506	152	9	−	−	PROPN
ejpam-6506	152	10	j(e	j(e	PROPN
ejpam-6506	152	11	)	)	PUNCT
ejpam-6506	152	12	)	)	PUNCT
ejpam-6506	153	1	=	=	PUNCT
ejpam-6506	153	2	0	0	NUM
ejpam-6506	153	3	,	,	PUNCT
ejpam-6506	153	4	that	that	ADV
ejpam-6506	153	5	is	is	ADV
ejpam-6506	153	6	,	,	PUNCT
ejpam-6506	153	7	det((λ	det((λ	VERB
ejpam-6506	153	8	−	−	PROPN
ejpam-6506	153	9	1)i	1)i	NUM
ejpam-6506	153	10	−	−	PROPN
ejpam-6506	153	11	ha(e	ha(e	NUM
ejpam-6506	153	12	)	)	PUNCT
ejpam-6506	153	13	)	)	PUNCT
ejpam-6506	154	1	=	=	PUNCT
ejpam-6506	154	2	0	0	X
ejpam-6506	154	3	.	.	PUNCT
ejpam-6506	155	1	let	let	VERB
ejpam-6506	155	2	ν	ν	X
ejpam-6506	155	3	=	=	PUNCT
ejpam-6506	155	4	(	(	PUNCT
ejpam-6506	155	5	λ	λ	X
ejpam-6506	155	6	−	−	PROPN
ejpam-6506	155	7	1)/h	1)/h	NUM
ejpam-6506	155	8	.	.	PUNCT
ejpam-6506	156	1	then	then	ADV
ejpam-6506	156	2	ν	ν	PROPN
ejpam-6506	156	3	satisfies	satisfy	VERB
ejpam-6506	156	4	det(νi	det(νi	PRON
ejpam-6506	156	5	−	−	PROPN
ejpam-6506	156	6	a(e	a(e	PROPN
ejpam-6506	156	7	)	)	PUNCT
ejpam-6506	156	8	)	)	PUNCT
ejpam-6506	157	1	=	=	SYM
ejpam-6506	157	2	o(h	o(h	ADJ
ejpam-6506	157	3	)	)	PUNCT
ejpam-6506	157	4	,	,	PUNCT
ejpam-6506	157	5	thus	thus	ADV
ejpam-6506	157	6	,	,	PUNCT
ejpam-6506	157	7	ν	ν	X
ejpam-6506	157	8	=	=	PUNCT
ejpam-6506	157	9	µi	µi	PROPN
ejpam-6506	158	1	+	+	NOUN
ejpam-6506	158	2	o(h	o(h	ADJ
ejpam-6506	158	3	)	)	PUNCT
ejpam-6506	158	4	for	for	ADP
ejpam-6506	158	5	some	some	PRON
ejpam-6506	158	6	eigenvalues	eigenvalue	VERB
ejpam-6506	158	7	µi	µi	ADV
ejpam-6506	158	8	in	in	ADP
ejpam-6506	158	9	a(e	a(e	PROPN
ejpam-6506	158	10	)	)	PUNCT
ejpam-6506	158	11	.	.	PUNCT
ejpam-6506	159	1	hence	hence	ADV
ejpam-6506	159	2	λ	λ	X
ejpam-6506	159	3	=	=	SYM
ejpam-6506	159	4	1	1	NUM
ejpam-6506	159	5	+	+	NUM
ejpam-6506	159	6	hµi	hµi	ADJ
ejpam-6506	159	7	+	+	NOUN
ejpam-6506	159	8	o(h2	o(h2	NOUN
ejpam-6506	159	9	)	)	PUNCT
ejpam-6506	159	10	.	.	PUNCT
ejpam-6506	160	1	if	if	SCONJ
ejpam-6506	160	2	ℜ(µi	ℜ(µi	NUM
ejpam-6506	160	3	)	)	PUNCT
ejpam-6506	160	4	<	<	X
ejpam-6506	160	5	0	0	NUM
ejpam-6506	160	6	,	,	PUNCT
ejpam-6506	160	7	then	then	ADV
ejpam-6506	160	8	for	for	ADP
ejpam-6506	160	9	sufficiently	sufficiently	ADV
ejpam-6506	160	10	small	small	ADJ
ejpam-6506	160	11	h	h	NOUN
ejpam-6506	160	12	one	one	NOUN
ejpam-6506	160	13	has	have	VERB
ejpam-6506	160	14	|1	|1	DET
ejpam-6506	160	15	+	+	NUM
ejpam-6506	160	16	hµi|	hµi|	PROPN
ejpam-6506	160	17	<	<	X
ejpam-6506	160	18	1	1	NUM
ejpam-6506	160	19	,	,	PUNCT
ejpam-6506	160	20	which	which	PRON
ejpam-6506	160	21	indicates	indicate	VERB
ejpam-6506	160	22	the	the	DET
ejpam-6506	160	23	stability	stability	NOUN
ejpam-6506	160	24	of	of	ADP
ejpam-6506	160	25	the	the	DET
ejpam-6506	160	26	discrete	discrete	ADJ
ejpam-6506	160	27	map	map	NOUN
ejpam-6506	160	28	.	.	PUNCT
ejpam-6506	161	1	corollary	corollary	ADJ
ejpam-6506	161	2	1	1	NUM
ejpam-6506	161	3	.	.	PUNCT
ejpam-6506	162	1	if	if	SCONJ
ejpam-6506	162	2	an	an	DET
ejpam-6506	162	3	equilibrium	equilibrium	NOUN
ejpam-6506	162	4	e	e	NOUN
ejpam-6506	162	5	of	of	ADP
ejpam-6506	162	6	the	the	DET
ejpam-6506	162	7	ode	ode	PROPN
ejpam-6506	162	8	(	(	PUNCT
ejpam-6506	162	9	1	1	NUM
ejpam-6506	162	10	)	)	PUNCT
ejpam-6506	162	11	satisfies	satisfy	VERB
ejpam-6506	162	12	the	the	DET
ejpam-6506	162	13	routh	routh	PROPN
ejpam-6506	162	14	–	–	PUNCT
ejpam-6506	162	15	hurwitz	hurwitz	PROPN
ejpam-6506	162	16	conditions	condition	NOUN
ejpam-6506	162	17	(	(	PUNCT
ejpam-6506	162	18	i.e.	i.e.	X
ejpam-6506	162	19	,	,	PUNCT
ejpam-6506	162	20	all	all	PRON
ejpam-6506	162	21	eigenvalues	eigenvalue	VERB
ejpam-6506	162	22	µi	µi	ADV
ejpam-6506	162	23	of	of	ADP
ejpam-6506	162	24	a(e	a(e	PROPN
ejpam-6506	162	25	)	)	PUNCT
ejpam-6506	162	26	have	have	VERB
ejpam-6506	162	27	negative	negative	ADJ
ejpam-6506	162	28	real	real	ADJ
ejpam-6506	162	29	parts	part	NOUN
ejpam-6506	162	30	)	)	PUNCT
ejpam-6506	162	31	,	,	PUNCT
ejpam-6506	162	32	then	then	ADV
ejpam-6506	162	33	the	the	DET
ejpam-6506	162	34	corresponding	corresponding	ADJ
ejpam-6506	162	35	equilibrium	equilibrium	NOUN
ejpam-6506	162	36	of	of	ADP
ejpam-6506	162	37	the	the	DET
ejpam-6506	162	38	euler	euler	NOUN
ejpam-6506	162	39	map	map	NOUN
ejpam-6506	162	40	(	(	PUNCT
ejpam-6506	162	41	2	2	NUM
ejpam-6506	162	42	)	)	PUNCT
ejpam-6506	162	43	is	be	AUX
ejpam-6506	162	44	locally	locally	ADV
ejpam-6506	162	45	asymptotically	asymptotically	ADV
ejpam-6506	162	46	stable	stable	ADJ
ejpam-6506	162	47	for	for	ADP
ejpam-6506	162	48	sufficiently	sufficiently	ADV
ejpam-6506	162	49	small	small	ADJ
ejpam-6506	162	50	h	h	NOUN
ejpam-6506	162	51	>	>	X
ejpam-6506	162	52	0	0	X
ejpam-6506	162	53	.	.	PUNCT
ejpam-6506	163	1	proof	proof	NOUN
ejpam-6506	163	2	.	.	PUNCT
ejpam-6506	164	1	from	from	ADP
ejpam-6506	164	2	theorem	theorem	NOUN
ejpam-6506	164	3	2	2	NUM
ejpam-6506	164	4	,	,	PUNCT
ejpam-6506	164	5	the	the	DET
ejpam-6506	164	6	eigenvalues	eigenvalue	NOUN
ejpam-6506	164	7	of	of	ADP
ejpam-6506	164	8	the	the	DET
ejpam-6506	164	9	euler	euler	PROPN
ejpam-6506	164	10	jacobian	jacobian	PROPN
ejpam-6506	164	11	are	be	AUX
ejpam-6506	164	12	λi(h	λi(h	NOUN
ejpam-6506	164	13	)	)	PUNCT
ejpam-6506	164	14	=	=	SYM
ejpam-6506	165	1	1	1	NUM
ejpam-6506	165	2	+	+	NUM
ejpam-6506	165	3	hµi	hµi	ADJ
ejpam-6506	165	4	+	+	NUM
ejpam-6506	165	5	o(h2	o(h2	NOUN
ejpam-6506	165	6	)	)	PUNCT
ejpam-6506	165	7	as	as	ADP
ejpam-6506	165	8	h	h	NOUN
ejpam-6506	165	9	→	→	SYM
ejpam-6506	165	10	0	0	X
ejpam-6506	165	11	.	.	PUNCT
ejpam-6506	166	1	if	if	SCONJ
ejpam-6506	166	2	ℜ(µi	ℜ(µi	NUM
ejpam-6506	166	3	)	)	PUNCT
ejpam-6506	166	4	<	<	X
ejpam-6506	166	5	0	0	NUM
ejpam-6506	166	6	,	,	PUNCT
ejpam-6506	166	7	then	then	ADV
ejpam-6506	166	8	|1	|1	NUM
ejpam-6506	167	1	+	+	CCONJ
ejpam-6506	167	2	hµi|	hµi|	VERB
ejpam-6506	167	3	<	<	X
ejpam-6506	167	4	1	1	NUM
ejpam-6506	167	5	for	for	ADP
ejpam-6506	167	6	h	h	NOUN
ejpam-6506	167	7	small	small	ADJ
ejpam-6506	167	8	enough	enough	ADV
ejpam-6506	167	9	,	,	PUNCT
ejpam-6506	167	10	and	and	CCONJ
ejpam-6506	167	11	thus	thus	ADV
ejpam-6506	167	12	each	each	DET
ejpam-6506	167	13	jury	jury	NOUN
ejpam-6506	167	14	condition	condition	NOUN
ejpam-6506	167	15	(	(	PUNCT
ejpam-6506	167	16	5	5	NUM
ejpam-6506	167	17	)	)	PUNCT
ejpam-6506	167	18	is	be	AUX
ejpam-6506	167	19	satisfied	satisfied	ADJ
ejpam-6506	167	20	.	.	PUNCT
ejpam-6506	168	1	equivalently	equivalently	ADV
ejpam-6506	168	2	,	,	PUNCT
ejpam-6506	168	3	one	one	PRON
ejpam-6506	168	4	can	can	AUX
ejpam-6506	168	5	check	check	VERB
ejpam-6506	168	6	directly	directly	ADV
ejpam-6506	168	7	that	that	SCONJ
ejpam-6506	168	8	the	the	DET
ejpam-6506	168	9	jury	jury	NOUN
ejpam-6506	168	10	inequalities	inequality	NOUN
ejpam-6506	168	11	reduce	reduce	VERB
ejpam-6506	168	12	to	to	ADP
ejpam-6506	168	13	the	the	DET
ejpam-6506	168	14	routh	routh	PROPN
ejpam-6506	168	15	–	–	PUNCT
ejpam-6506	168	16	hurwitz	hurwitz	PROPN
ejpam-6506	168	17	inequalities	inequality	NOUN
ejpam-6506	168	18	for	for	ADP
ejpam-6506	168	19	a(e	a(e	NOUN
ejpam-6506	168	20	)	)	PUNCT
ejpam-6506	168	21	in	in	ADP
ejpam-6506	168	22	the	the	DET
ejpam-6506	168	23	limit	limit	NOUN
ejpam-6506	168	24	h	h	NOUN
ejpam-6506	168	25	→	→	SYM
ejpam-6506	168	26	0	0	NUM
ejpam-6506	168	27	.	.	PUNCT
ejpam-6506	169	1	thus	thus	ADV
ejpam-6506	169	2	stability	stability	NOUN
ejpam-6506	169	3	of	of	ADP
ejpam-6506	169	4	the	the	DET
ejpam-6506	169	5	continuous	continuous	ADJ
ejpam-6506	169	6	-	-	PUNCT
ejpam-6506	169	7	time	time	NOUN
ejpam-6506	169	8	system	system	NOUN
ejpam-6506	169	9	implies	imply	VERB
ejpam-6506	169	10	stability	stability	NOUN
ejpam-6506	169	11	of	of	ADP
ejpam-6506	169	12	the	the	DET
ejpam-6506	169	13	discretized	discretized	ADJ
ejpam-6506	169	14	system	system	NOUN
ejpam-6506	169	15	for	for	ADP
ejpam-6506	169	16	sufficiently	sufficiently	ADV
ejpam-6506	169	17	small	small	ADJ
ejpam-6506	169	18	h.	h.	NOUN
ejpam-6506	169	19	theorem	theorem	ADJ
ejpam-6506	169	20	2	2	NUM
ejpam-6506	169	21	and	and	CCONJ
ejpam-6506	169	22	corollary	corollary	ADJ
ejpam-6506	169	23	1	1	NUM
ejpam-6506	169	24	provide	provide	VERB
ejpam-6506	169	25	several	several	ADJ
ejpam-6506	169	26	important	important	ADJ
ejpam-6506	169	27	insights	insight	NOUN
ejpam-6506	169	28	into	into	ADP
ejpam-6506	169	29	the	the	DET
ejpam-6506	169	30	relationship	relationship	NOUN
ejpam-6506	169	31	between	between	ADP
ejpam-6506	169	32	the	the	DET
ejpam-6506	169	33	discrete	discrete	ADJ
ejpam-6506	169	34	euler	euler	NOUN
ejpam-6506	169	35	map	map	NOUN
ejpam-6506	169	36	and	and	CCONJ
ejpam-6506	169	37	continuous	continuous	ADJ
ejpam-6506	169	38	time	time	NOUN
ejpam-6506	169	39	dynamics	dynamic	NOUN
ejpam-6506	169	40	.	.	PUNCT
ejpam-6506	170	1	an	an	DET
ejpam-6506	170	2	immediate	immediate	ADJ
ejpam-6506	170	3	consequence	consequence	NOUN
ejpam-6506	170	4	of	of	ADP
ejpam-6506	170	5	theorem	theorem	ADJ
ejpam-6506	170	6	2	2	NUM
ejpam-6506	170	7	is	be	AUX
ejpam-6506	170	8	that	that	SCONJ
ejpam-6506	170	9	the	the	DET
ejpam-6506	170	10	stability	stability	NOUN
ejpam-6506	170	11	of	of	ADP
ejpam-6506	170	12	the	the	DET
ejpam-6506	170	13	euler	euler	PROPN
ejpam-6506	170	14	scheme	scheme	NOUN
ejpam-6506	170	15	depends	depend	VERB
ejpam-6506	170	16	explicitly	explicitly	ADV
ejpam-6506	170	17	on	on	ADP
ejpam-6506	170	18	step	step	NOUN
ejpam-6506	170	19	size	size	NOUN
ejpam-6506	170	20	h.	h.	PROPN
ejpam-6506	170	21	because	because	SCONJ
ejpam-6506	170	22	the	the	DET
ejpam-6506	170	23	discrete	discrete	NOUN
ejpam-6506	170	24	eigenvalues	eigenvalue	VERB
ejpam-6506	170	25	satisfy	satisfy	NOUN
ejpam-6506	170	26	λ(h	λ(h	PRON
ejpam-6506	170	27	)	)	PUNCT
ejpam-6506	170	28	=	=	SYM
ejpam-6506	170	29	1	1	NUM
ejpam-6506	170	30	+	+	CCONJ
ejpam-6506	170	31	hµ	hµ	NOUN
ejpam-6506	170	32	,	,	PUNCT
ejpam-6506	170	33	stability	stability	NOUN
ejpam-6506	170	34	requires	require	VERB
ejpam-6506	170	35	|1	|1	PRON
ejpam-6506	171	1	+	+	CCONJ
ejpam-6506	171	2	hµ|	hµ|	ADJ
ejpam-6506	171	3	<	<	X
ejpam-6506	171	4	1	1	NUM
ejpam-6506	171	5	for	for	ADP
ejpam-6506	171	6	each	each	DET
ejpam-6506	171	7	eigenvalue	eigenvalue	PROPN
ejpam-6506	171	8	µ	µ	PROPN
ejpam-6506	171	9	of	of	ADP
ejpam-6506	171	10	the	the	DET
ejpam-6506	171	11	continuous	continuous	ADJ
ejpam-6506	171	12	jacobian	jacobian	NOUN
ejpam-6506	171	13	.	.	PUNCT
ejpam-6506	172	1	for	for	ADP
ejpam-6506	172	2	a	a	DET
ejpam-6506	172	3	real	real	ADJ
ejpam-6506	172	4	negative	negative	ADJ
ejpam-6506	172	5	eigenvalue	eigenvalue	PROPN
ejpam-6506	172	6	µ	µ	X
ejpam-6506	172	7	=	=	SYM
ejpam-6506	172	8	−α	−α	NOUN
ejpam-6506	172	9	with	with	ADP
ejpam-6506	172	10	α	α	PROPN
ejpam-6506	172	11	>	>	X
ejpam-6506	172	12	0	0	PROPN
ejpam-6506	172	13	,	,	PUNCT
ejpam-6506	172	14	this	this	DET
ejpam-6506	172	15	inequality	inequality	NOUN
ejpam-6506	172	16	reads	read	VERB
ejpam-6506	172	17	|1	|1	PRON
ejpam-6506	172	18	−	−	PUNCT
ejpam-6506	172	19	hα|	hα|	PROPN
ejpam-6506	172	20	<	<	X
ejpam-6506	172	21	1	1	NUM
ejpam-6506	172	22	,	,	PUNCT
ejpam-6506	172	23	which	which	PRON
ejpam-6506	172	24	simplifies	simplify	VERB
ejpam-6506	172	25	to	to	PART
ejpam-6506	172	26	−1	−1	NOUN
ejpam-6506	172	27	<	<	X
ejpam-6506	172	28	1	1	NUM
ejpam-6506	172	29	−	−	NOUN
ejpam-6506	172	30	hα	hα	ADP
ejpam-6506	172	31	<	<	X
ejpam-6506	172	32	1	1	NUM
ejpam-6506	172	33	hence	hence	ADV
ejpam-6506	172	34	,	,	PUNCT
ejpam-6506	172	35	0	0	PUNCT
ejpam-6506	172	36	<	<	X
ejpam-6506	172	37	h	h	X
ejpam-6506	172	38	<	<	X
ejpam-6506	172	39	2	2	NUM
ejpam-6506	172	40	/	/	SYM
ejpam-6506	172	41	α	α	NOUN
ejpam-6506	172	42	.	.	PUNCT
ejpam-6506	173	1	for	for	ADP
ejpam-6506	173	2	a	a	DET
ejpam-6506	173	3	general	general	ADJ
ejpam-6506	173	4	complex	complex	ADJ
ejpam-6506	173	5	eigenvalue	eigenvalue	PROPN
ejpam-6506	173	6	µ	µ	X
ejpam-6506	173	7	=	=	SYM
ejpam-6506	173	8	σ	σ	PROPN
ejpam-6506	173	9	+	+	CCONJ
ejpam-6506	173	10	iω	iω	X
ejpam-6506	173	11	with	with	ADP
ejpam-6506	173	12	σ	σ	PROPN
ejpam-6506	173	13	<	<	X
ejpam-6506	173	14	0	0	NUM
ejpam-6506	173	15	,	,	PUNCT
ejpam-6506	173	16	we	we	PRON
ejpam-6506	173	17	compute	compute	VERB
ejpam-6506	173	18	|1	|1	PRON
ejpam-6506	174	1	+	+	CCONJ
ejpam-6506	174	2	hµ|2	hµ|2	ADJ
ejpam-6506	174	3	=	=	SYM
ejpam-6506	174	4	(	(	PUNCT
ejpam-6506	174	5	1	1	NUM
ejpam-6506	174	6	+	+	NUM
ejpam-6506	174	7	hσ)2	hσ)2	NOUN
ejpam-6506	174	8	+	+	CCONJ
ejpam-6506	174	9	(	(	PUNCT
ejpam-6506	174	10	hω)2	hω)2	NOUN
ejpam-6506	174	11	=	=	SYM
ejpam-6506	174	12	1	1	NUM
ejpam-6506	174	13	+	+	NUM
ejpam-6506	174	14	2hσ	2hσ	ADJ
ejpam-6506	174	15	+	+	CCONJ
ejpam-6506	175	1	h2|µ|2	h2|µ|2	PROPN
ejpam-6506	175	2	.	.	PUNCT
ejpam-6506	176	1	therefore	therefore	ADV
ejpam-6506	176	2	,	,	PUNCT
ejpam-6506	176	3	the	the	DET
ejpam-6506	176	4	condition	condition	NOUN
ejpam-6506	176	5	|1	|1	PUNCT
ejpam-6506	177	1	+	+	CCONJ
ejpam-6506	177	2	hµ|	hµ|	ADJ
ejpam-6506	177	3	<	<	X
ejpam-6506	177	4	1	1	NUM
ejpam-6506	177	5	is	be	AUX
ejpam-6506	177	6	equivalent	equivalent	ADJ
ejpam-6506	177	7	to	to	ADP
ejpam-6506	177	8	1	1	NUM
ejpam-6506	177	9	+	+	NUM
ejpam-6506	177	10	2hσ	2hσ	ADJ
ejpam-6506	178	1	+	+	CCONJ
ejpam-6506	178	2	h2|µ|2	h2|µ|2	PROPN
ejpam-6506	178	3	<	<	X
ejpam-6506	178	4	1	1	NUM
ejpam-6506	178	5	,	,	PUNCT
ejpam-6506	178	6	or	or	CCONJ
ejpam-6506	178	7	2hσ	2hσ	NOUN
ejpam-6506	179	1	+	+	CCONJ
ejpam-6506	179	2	h2|µ|2	h2|µ|2	PROPN
ejpam-6506	179	3	<	<	X
ejpam-6506	179	4	0	0	NUM
ejpam-6506	179	5	.	.	PUNCT
ejpam-6506	180	1	because	because	SCONJ
ejpam-6506	180	2	h	h	PROPN
ejpam-6506	180	3	>	>	X
ejpam-6506	180	4	0	0	PUNCT
ejpam-6506	180	5	and	and	CCONJ
ejpam-6506	180	6	σ	σ	X
ejpam-6506	180	7	<	<	X
ejpam-6506	180	8	0	0	PROPN
ejpam-6506	180	9	,	,	PUNCT
ejpam-6506	180	10	this	this	DET
ejpam-6506	180	11	inequality	inequality	NOUN
ejpam-6506	180	12	is	be	AUX
ejpam-6506	180	13	reduced	reduce	VERB
ejpam-6506	180	14	to	to	ADP
ejpam-6506	180	15	0	0	NUM
ejpam-6506	180	16	<	<	X
ejpam-6506	180	17	h	h	X
ejpam-6506	180	18	<	<	X
ejpam-6506	180	19	−2σ/|µ|2	−2σ/|µ|2	PROPN
ejpam-6506	180	20	.	.	PUNCT
ejpam-6506	181	1	in	in	ADP
ejpam-6506	181	2	other	other	ADJ
ejpam-6506	181	3	words	word	NOUN
ejpam-6506	181	4	,	,	PUNCT
ejpam-6506	181	5	the	the	DET
ejpam-6506	181	6	admissible	admissible	ADJ
ejpam-6506	181	7	step	step	NOUN
ejpam-6506	181	8	size	size	NOUN
ejpam-6506	181	9	shrinks	shrink	VERB
ejpam-6506	181	10	with	with	ADP
ejpam-6506	181	11	both	both	CCONJ
ejpam-6506	181	12	the	the	DET
ejpam-6506	181	13	size	size	NOUN
ejpam-6506	181	14	of	of	ADP
ejpam-6506	181	15	the	the	DET
ejpam-6506	181	16	negative	negative	ADJ
ejpam-6506	181	17	real	real	ADJ
ejpam-6506	181	18	part	part	NOUN
ejpam-6506	181	19	,	,	PUNCT
ejpam-6506	181	20	σ	σ	PROPN
ejpam-6506	181	21	and	and	CCONJ
ejpam-6506	181	22	m.	m.	PROPN
ejpam-6506	181	23	f.	f.	PROPN
ejpam-6506	181	24	ansori	ansori	PROPN
ejpam-6506	181	25	et	et	PROPN
ejpam-6506	181	26	al	al	PROPN
ejpam-6506	181	27	.	.	PUNCT
ejpam-6506	181	28	/	/	SYM
ejpam-6506	181	29	eur	eur	PROPN
ejpam-6506	181	30	.	.	PUNCT
ejpam-6506	182	1	j.	j.	PROPN
ejpam-6506	182	2	pure	pure	PROPN
ejpam-6506	182	3	appl	appl	PROPN
ejpam-6506	182	4	.	.	PROPN
ejpam-6506	182	5	math	math	PROPN
ejpam-6506	182	6	,	,	PUNCT
ejpam-6506	182	7	18	18	NUM
ejpam-6506	182	8	(	(	PUNCT
ejpam-6506	182	9	4	4	NUM
ejpam-6506	182	10	)	)	PUNCT
ejpam-6506	182	11	(	(	PUNCT
ejpam-6506	182	12	2025	2025	NUM
ejpam-6506	182	13	)	)	PUNCT
ejpam-6506	182	14	,	,	PUNCT
ejpam-6506	182	15	6506	6506	NUM
ejpam-6506	182	16	8	8	NUM
ejpam-6506	182	17	of	of	ADP
ejpam-6506	182	18	27	27	NUM
ejpam-6506	182	19	the	the	DET
ejpam-6506	182	20	magnitude	magnitude	NOUN
ejpam-6506	182	21	of	of	ADP
ejpam-6506	182	22	the	the	DET
ejpam-6506	182	23	imaginary	imaginary	ADJ
ejpam-6506	182	24	part	part	NOUN
ejpam-6506	182	25	,	,	PUNCT
ejpam-6506	182	26	ω	ω	NOUN
ejpam-6506	182	27	.	.	PUNCT
ejpam-6506	183	1	a	a	DET
ejpam-6506	183	2	conservative	conservative	ADJ
ejpam-6506	183	3	guideline	guideline	NOUN
ejpam-6506	183	4	that	that	PRON
ejpam-6506	183	5	applies	apply	VERB
ejpam-6506	183	6	uniformly	uniformly	ADV
ejpam-6506	183	7	across	across	ADP
ejpam-6506	183	8	all	all	DET
ejpam-6506	183	9	eigenvalues	eigenvalue	NOUN
ejpam-6506	183	10	is	be	AUX
ejpam-6506	183	11	therefore	therefore	ADV
ejpam-6506	183	12	0	0	NUM
ejpam-6506	183	13	<	<	X
ejpam-6506	183	14	h	h	X
ejpam-6506	183	15	<	<	X
ejpam-6506	183	16	2	2	NUM
ejpam-6506	183	17	maxi	maxi	ADJ
ejpam-6506	183	18	|ℜ(µi)|	|ℜ(µi)|	NOUN
ejpam-6506	183	19	.	.	PUNCT
ejpam-6506	184	1	this	this	DET
ejpam-6506	184	2	bound	bind	VERB
ejpam-6506	184	3	highlights	highlight	NOUN
ejpam-6506	184	4	the	the	DET
ejpam-6506	184	5	intuitive	intuitive	ADJ
ejpam-6506	184	6	fact	fact	NOUN
ejpam-6506	184	7	that	that	SCONJ
ejpam-6506	184	8	the	the	PRON
ejpam-6506	184	9	stronger	strong	ADJ
ejpam-6506	184	10	the	the	DET
ejpam-6506	184	11	damping	damping	NOUN
ejpam-6506	184	12	in	in	ADP
ejpam-6506	184	13	the	the	DET
ejpam-6506	184	14	continuous	continuous	ADJ
ejpam-6506	184	15	system	system	NOUN
ejpam-6506	184	16	(	(	PUNCT
ejpam-6506	184	17	the	the	DET
ejpam-6506	184	18	larger	large	ADJ
ejpam-6506	184	19	|ℜ(µi)|	|ℜ(µi)|	NOUN
ejpam-6506	184	20	)	)	PUNCT
ejpam-6506	184	21	,	,	PUNCT
ejpam-6506	184	22	the	the	DET
ejpam-6506	184	23	smaller	small	ADJ
ejpam-6506	184	24	is	be	AUX
ejpam-6506	184	25	the	the	DET
ejpam-6506	184	26	admissible	admissible	ADJ
ejpam-6506	184	27	step	step	NOUN
ejpam-6506	184	28	size	size	NOUN
ejpam-6506	184	29	for	for	ADP
ejpam-6506	184	30	the	the	DET
ejpam-6506	184	31	euler	euler	PROPN
ejpam-6506	184	32	scheme	scheme	NOUN
ejpam-6506	184	33	.	.	PUNCT
ejpam-6506	185	1	for	for	ADP
ejpam-6506	185	2	example	example	NOUN
ejpam-6506	185	3	,	,	PUNCT
ejpam-6506	185	4	when	when	SCONJ
ejpam-6506	185	5	a	a	DET
ejpam-6506	185	6	=	=	NOUN
ejpam-6506	185	7	−2	−2	NOUN
ejpam-6506	185	8	,	,	PUNCT
ejpam-6506	185	9	the	the	DET
ejpam-6506	185	10	dominant	dominant	PROPN
ejpam-6506	185	11	eigenvalue	eigenvalue	PROPN
ejpam-6506	185	12	has	have	VERB
ejpam-6506	185	13	ℜ(µ	ℜ(µ	NUM
ejpam-6506	185	14	)	)	PUNCT
ejpam-6506	186	1	≈	≈	PROPN
ejpam-6506	186	2	−1.16	−1.16	PROPN
ejpam-6506	186	3	;	;	PUNCT
ejpam-6506	186	4	therefore	therefore	ADV
ejpam-6506	186	5	,	,	PUNCT
ejpam-6506	186	6	the	the	DET
ejpam-6506	186	7	bound	bind	VERB
ejpam-6506	186	8	yields	yield	NOUN
ejpam-6506	186	9	h	h	NOUN
ejpam-6506	186	10	<	<	X
ejpam-6506	186	11	1.72	1.72	NUM
ejpam-6506	186	12	,	,	PUNCT
ejpam-6506	186	13	and	and	CCONJ
ejpam-6506	186	14	the	the	DET
ejpam-6506	186	15	choice	choice	NOUN
ejpam-6506	186	16	h	h	NOUN
ejpam-6506	186	17	=	=	NOUN
ejpam-6506	186	18	0.01	0.01	NUM
ejpam-6506	186	19	used	use	VERB
ejpam-6506	186	20	in	in	ADP
ejpam-6506	186	21	our	our	PRON
ejpam-6506	186	22	simulations	simulation	NOUN
ejpam-6506	186	23	lies	lie	VERB
ejpam-6506	186	24	safely	safely	ADV
ejpam-6506	186	25	within	within	ADP
ejpam-6506	186	26	the	the	DET
ejpam-6506	186	27	stable	stable	ADJ
ejpam-6506	186	28	regime	regime	NOUN
ejpam-6506	186	29	.	.	PUNCT
ejpam-6506	187	1	beyond	beyond	ADP
ejpam-6506	187	2	the	the	DET
ejpam-6506	187	3	step	step	NOUN
ejpam-6506	187	4	size	size	NOUN
ejpam-6506	187	5	restriction	restriction	NOUN
ejpam-6506	187	6	,	,	PUNCT
ejpam-6506	187	7	another	another	DET
ejpam-6506	187	8	important	important	ADJ
ejpam-6506	187	9	implication	implication	NOUN
ejpam-6506	187	10	concerns	concern	VERB
ejpam-6506	187	11	the	the	DET
ejpam-6506	187	12	qualitative	qualitative	ADJ
ejpam-6506	187	13	changes	change	NOUN
ejpam-6506	187	14	that	that	PRON
ejpam-6506	187	15	arise	arise	VERB
ejpam-6506	187	16	when	when	SCONJ
ejpam-6506	187	17	h	h	NOUN
ejpam-6506	187	18	becomes	become	VERB
ejpam-6506	187	19	too	too	ADV
ejpam-6506	187	20	large	large	ADJ
ejpam-6506	187	21	.	.	PUNCT
ejpam-6506	188	1	mathematically	mathematically	ADV
ejpam-6506	188	2	,	,	PUNCT
ejpam-6506	188	3	such	such	ADJ
ejpam-6506	188	4	spurious	spurious	ADJ
ejpam-6506	188	5	bifurcations	bifurcation	NOUN
ejpam-6506	188	6	occur	occur	VERB
ejpam-6506	188	7	when	when	SCONJ
ejpam-6506	188	8	an	an	DET
ejpam-6506	188	9	eigenvalue	eigenvalue	NOUN
ejpam-6506	188	10	of	of	ADP
ejpam-6506	188	11	the	the	DET
ejpam-6506	188	12	discrete	discrete	ADJ
ejpam-6506	188	13	jacobian	jacobian	PROPN
ejpam-6506	188	14	j(e	j(e	PROPN
ejpam-6506	188	15	)	)	PUNCT
ejpam-6506	188	16	=	=	SYM
ejpam-6506	188	17	i+ha(e	i+ha(e	PROPN
ejpam-6506	188	18	)	)	PUNCT
ejpam-6506	188	19	crosses	cross	VERB
ejpam-6506	188	20	the	the	DET
ejpam-6506	188	21	unit	unit	NOUN
ejpam-6506	188	22	circle	circle	NOUN
ejpam-6506	188	23	,	,	PUNCT
ejpam-6506	188	24	that	that	ADV
ejpam-6506	188	25	is	is	ADV
ejpam-6506	188	26	,	,	PUNCT
ejpam-6506	188	27	when	when	SCONJ
ejpam-6506	188	28	|1	|1	PRON
ejpam-6506	189	1	+	+	X
ejpam-6506	189	2	hµ|	hµ|	ADJ
ejpam-6506	189	3	=	=	NOUN
ejpam-6506	189	4	1	1	NUM
ejpam-6506	189	5	for	for	ADP
ejpam-6506	189	6	some	some	DET
ejpam-6506	189	7	eigenvalue	eigenvalue	PROPN
ejpam-6506	189	8	µ	µ	PROPN
ejpam-6506	189	9	of	of	ADP
ejpam-6506	189	10	the	the	DET
ejpam-6506	189	11	continuous	continuous	ADJ
ejpam-6506	189	12	jacobian	jacobian	NOUN
ejpam-6506	189	13	.	.	PUNCT
ejpam-6506	190	1	at	at	ADP
ejpam-6506	190	2	this	this	DET
ejpam-6506	190	3	point	point	NOUN
ejpam-6506	190	4	,	,	PUNCT
ejpam-6506	190	5	the	the	DET
ejpam-6506	190	6	equilibrium	equilibrium	NOUN
ejpam-6506	190	7	of	of	ADP
ejpam-6506	190	8	the	the	DET
ejpam-6506	190	9	discrete	discrete	ADJ
ejpam-6506	190	10	system	system	NOUN
ejpam-6506	190	11	loses	lose	VERB
ejpam-6506	190	12	stability	stability	NOUN
ejpam-6506	190	13	even	even	ADV
ejpam-6506	190	14	though	though	SCONJ
ejpam-6506	190	15	the	the	DET
ejpam-6506	190	16	continuous	continuous	ADJ
ejpam-6506	190	17	system	system	NOUN
ejpam-6506	190	18	remains	remain	VERB
ejpam-6506	190	19	stable	stable	ADJ
ejpam-6506	190	20	.	.	PUNCT
ejpam-6506	191	1	for	for	ADP
ejpam-6506	191	2	example	example	NOUN
ejpam-6506	191	3	,	,	PUNCT
ejpam-6506	191	4	if	if	SCONJ
ejpam-6506	191	5	µ	µ	X
ejpam-6506	191	6	=	=	SYM
ejpam-6506	191	7	−α	−α	NOUN
ejpam-6506	191	8	<	<	X
ejpam-6506	191	9	0	0	NUM
ejpam-6506	191	10	,	,	PUNCT
ejpam-6506	191	11	then	then	ADV
ejpam-6506	191	12	λ	λ	X
ejpam-6506	191	13	=	=	NOUN
ejpam-6506	192	1	1	1	NUM
ejpam-6506	192	2	−	−	NOUN
ejpam-6506	192	3	hα	hα	NOUN
ejpam-6506	192	4	.	.	PUNCT
ejpam-6506	193	1	when	when	SCONJ
ejpam-6506	193	2	h	h	NOUN
ejpam-6506	193	3	=	=	NOUN
ejpam-6506	193	4	2	2	NUM
ejpam-6506	193	5	/	/	SYM
ejpam-6506	193	6	α	α	NOUN
ejpam-6506	193	7	,	,	PUNCT
ejpam-6506	193	8	the	the	DET
ejpam-6506	193	9	discrete	discrete	ADJ
ejpam-6506	193	10	eigenvalue	eigenvalue	NOUN
ejpam-6506	193	11	becomes	become	VERB
ejpam-6506	193	12	λ	λ	NOUN
ejpam-6506	193	13	=	=	SYM
ejpam-6506	193	14	−1	−1	NOUN
ejpam-6506	193	15	,	,	PUNCT
ejpam-6506	193	16	producing	produce	VERB
ejpam-6506	193	17	a	a	DET
ejpam-6506	193	18	change	change	NOUN
ejpam-6506	193	19	in	in	ADP
ejpam-6506	193	20	stability	stability	NOUN
ejpam-6506	193	21	that	that	PRON
ejpam-6506	193	22	mimics	mimic	VERB
ejpam-6506	193	23	period	period	NOUN
ejpam-6506	193	24	-	-	PUNCT
ejpam-6506	193	25	doubling	double	VERB
ejpam-6506	193	26	bifurcation	bifurcation	NOUN
ejpam-6506	193	27	.	.	PUNCT
ejpam-6506	194	1	however	however	ADV
ejpam-6506	194	2	,	,	PUNCT
ejpam-6506	194	3	at	at	ADP
ejpam-6506	194	4	the	the	DET
ejpam-6506	194	5	continuous	continuous	ADJ
ejpam-6506	194	6	level	level	NOUN
ejpam-6506	194	7	,	,	PUNCT
ejpam-6506	194	8	no	no	DET
ejpam-6506	194	9	parameter	parameter	NOUN
ejpam-6506	194	10	variation	variation	NOUN
ejpam-6506	194	11	has	have	AUX
ejpam-6506	194	12	occurred	occur	VERB
ejpam-6506	194	13	,	,	PUNCT
ejpam-6506	194	14	therefore	therefore	ADV
ejpam-6506	194	15	,	,	PUNCT
ejpam-6506	194	16	this	this	DET
ejpam-6506	194	17	bifurcation	bifurcation	NOUN
ejpam-6506	194	18	is	be	AUX
ejpam-6506	194	19	purely	purely	ADV
ejpam-6506	194	20	numerical	numerical	ADJ
ejpam-6506	194	21	.	.	PUNCT
ejpam-6506	195	1	more	more	ADV
ejpam-6506	195	2	generally	generally	ADV
ejpam-6506	195	3	,	,	PUNCT
ejpam-6506	195	4	for	for	ADP
ejpam-6506	195	5	µ	µ	NOUN
ejpam-6506	195	6	=	=	SYM
ejpam-6506	195	7	σ	σ	PROPN
ejpam-6506	196	1	+	+	X
ejpam-6506	196	2	iω	iω	X
ejpam-6506	196	3	with	with	ADP
ejpam-6506	196	4	σ	σ	PROPN
ejpam-6506	196	5	<	<	X
ejpam-6506	196	6	0	0	PROPN
ejpam-6506	196	7	,	,	PUNCT
ejpam-6506	196	8	the	the	DET
ejpam-6506	196	9	crossing	crossing	NOUN
ejpam-6506	196	10	condition	condition	NOUN
ejpam-6506	196	11	(	(	PUNCT
ejpam-6506	196	12	1	1	NUM
ejpam-6506	196	13	+	+	NUM
ejpam-6506	196	14	hσ)2	hσ)2	NOUN
ejpam-6506	196	15	+	+	CCONJ
ejpam-6506	196	16	(	(	PUNCT
ejpam-6506	196	17	hω)2	hω)2	NOUN
ejpam-6506	196	18	=	=	SYM
ejpam-6506	196	19	1	1	NUM
ejpam-6506	196	20	indicates	indicate	VERB
ejpam-6506	196	21	that	that	SCONJ
ejpam-6506	196	22	a	a	DET
ejpam-6506	196	23	pair	pair	NOUN
ejpam-6506	196	24	of	of	ADP
ejpam-6506	196	25	complex	complex	ADJ
ejpam-6506	196	26	-	-	PUNCT
ejpam-6506	196	27	conjugate	conjugate	ADJ
ejpam-6506	196	28	eigenvalues	eigenvalue	NOUN
ejpam-6506	196	29	of	of	ADP
ejpam-6506	196	30	the	the	DET
ejpam-6506	196	31	euler	euler	NOUN
ejpam-6506	196	32	map	map	NOUN
ejpam-6506	196	33	lies	lie	VERB
ejpam-6506	196	34	on	on	ADP
ejpam-6506	196	35	the	the	DET
ejpam-6506	196	36	unit	unit	NOUN
ejpam-6506	196	37	circle	circle	NOUN
ejpam-6506	196	38	at	at	ADP
ejpam-6506	196	39	points	point	NOUN
ejpam-6506	196	40	different	different	ADJ
ejpam-6506	196	41	from	from	ADP
ejpam-6506	196	42	±1	±1	VERB
ejpam-6506	196	43	,	,	PUNCT
ejpam-6506	196	44	which	which	PRON
ejpam-6506	196	45	numerically	numerically	ADV
ejpam-6506	196	46	resembles	resemble	VERB
ejpam-6506	196	47	a	a	DET
ejpam-6506	196	48	neimark	neimark	ADJ
ejpam-6506	196	49	–	–	PUNCT
ejpam-6506	196	50	sacker	sacker	NOUN
ejpam-6506	196	51	bifurcation	bifurcation	NOUN
ejpam-6506	196	52	.	.	PUNCT
ejpam-6506	197	1	again	again	ADV
ejpam-6506	197	2	,	,	PUNCT
ejpam-6506	197	3	the	the	DET
ejpam-6506	197	4	continuous	continuous	ADJ
ejpam-6506	197	5	system	system	NOUN
ejpam-6506	197	6	remained	remain	VERB
ejpam-6506	197	7	stable	stable	ADJ
ejpam-6506	197	8	and	and	CCONJ
ejpam-6506	197	9	the	the	DET
ejpam-6506	197	10	observed	observed	ADJ
ejpam-6506	197	11	transition	transition	NOUN
ejpam-6506	197	12	was	be	AUX
ejpam-6506	197	13	entirely	entirely	ADV
ejpam-6506	197	14	artificial	artificial	ADJ
ejpam-6506	197	15	.	.	PUNCT
ejpam-6506	198	1	as	as	SCONJ
ejpam-6506	198	2	h	h	NOUN
ejpam-6506	198	3	→	→	SYM
ejpam-6506	198	4	0	0	NUM
ejpam-6506	198	5	,	,	PUNCT
ejpam-6506	198	6	all	all	DET
ejpam-6506	198	7	such	such	ADJ
ejpam-6506	198	8	spurious	spurious	ADJ
ejpam-6506	198	9	bifurcations	bifurcation	NOUN
ejpam-6506	198	10	vanish	vanish	VERB
ejpam-6506	198	11	,	,	PUNCT
ejpam-6506	198	12	leaving	leave	VERB
ejpam-6506	198	13	only	only	ADV
ejpam-6506	198	14	genuine	genuine	ADJ
ejpam-6506	198	15	bifurcations	bifurcation	NOUN
ejpam-6506	198	16	governed	govern	VERB
ejpam-6506	198	17	by	by	ADP
ejpam-6506	198	18	the	the	DET
ejpam-6506	198	19	physical	physical	ADJ
ejpam-6506	198	20	parameter	parameter	NOUN
ejpam-6506	198	21	a.	a.	NOUN
ejpam-6506	198	22	hence	hence	ADV
ejpam-6506	198	23	,	,	PUNCT
ejpam-6506	198	24	bifurcation	bifurcation	NOUN
ejpam-6506	198	25	diagrams	diagram	NOUN
ejpam-6506	198	26	with	with	ADP
ejpam-6506	198	27	respect	respect	NOUN
ejpam-6506	198	28	to	to	ADP
ejpam-6506	198	29	h	h	NOUN
ejpam-6506	198	30	should	should	AUX
ejpam-6506	198	31	be	be	AUX
ejpam-6506	198	32	understood	understand	VERB
ejpam-6506	198	33	not	not	PART
ejpam-6506	198	34	as	as	ADP
ejpam-6506	198	35	reflecting	reflect	VERB
ejpam-6506	198	36	true	true	ADJ
ejpam-6506	198	37	dynamical	dynamical	ADJ
ejpam-6506	198	38	features	feature	NOUN
ejpam-6506	198	39	of	of	ADP
ejpam-6506	198	40	the	the	DET
ejpam-6506	198	41	ode	ode	PROPN
ejpam-6506	198	42	,	,	PUNCT
ejpam-6506	198	43	but	but	CCONJ
ejpam-6506	198	44	rather	rather	ADV
ejpam-6506	198	45	as	as	ADP
ejpam-6506	198	46	a	a	DET
ejpam-6506	198	47	measure	measure	NOUN
ejpam-6506	198	48	of	of	ADP
ejpam-6506	198	49	the	the	DET
ejpam-6506	198	50	sensitivity	sensitivity	NOUN
ejpam-6506	198	51	and	and	CCONJ
ejpam-6506	198	52	limitations	limitation	NOUN
ejpam-6506	198	53	of	of	ADP
ejpam-6506	198	54	the	the	DET
ejpam-6506	198	55	euler	euler	NOUN
ejpam-6506	198	56	discretization	discretization	NOUN
ejpam-6506	198	57	.	.	PUNCT
ejpam-6506	199	1	2.3	2.3	NUM
ejpam-6506	199	2	.	.	PUNCT
ejpam-6506	200	1	numerical	numerical	ADJ
ejpam-6506	200	2	simulations	simulation	NOUN
ejpam-6506	200	3	and	and	CCONJ
ejpam-6506	200	4	dynamical	dynamical	ADJ
ejpam-6506	200	5	behavior	behavior	NOUN
ejpam-6506	200	6	having	having	AUX
ejpam-6506	200	7	established	establish	VERB
ejpam-6506	200	8	the	the	DET
ejpam-6506	200	9	analytical	analytical	ADJ
ejpam-6506	200	10	stability	stability	NOUN
ejpam-6506	200	11	conditions	condition	NOUN
ejpam-6506	200	12	and	and	CCONJ
ejpam-6506	200	13	their	their	PRON
ejpam-6506	200	14	consistency	consistency	NOUN
ejpam-6506	200	15	with	with	ADP
ejpam-6506	200	16	the	the	DET
ejpam-6506	200	17	continuous	continuous	ADJ
ejpam-6506	200	18	-	-	PUNCT
ejpam-6506	200	19	time	time	NOUN
ejpam-6506	200	20	flow	flow	NOUN
ejpam-6506	200	21	as	as	ADP
ejpam-6506	200	22	h	h	NOUN
ejpam-6506	200	23	→	→	SYM
ejpam-6506	200	24	0	0	NUM
ejpam-6506	200	25	,	,	PUNCT
ejpam-6506	200	26	we	we	PRON
ejpam-6506	200	27	complement	complement	VERB
ejpam-6506	200	28	the	the	DET
ejpam-6506	200	29	theoretical	theoretical	ADJ
ejpam-6506	200	30	results	result	NOUN
ejpam-6506	200	31	with	with	ADP
ejpam-6506	200	32	the	the	DET
ejpam-6506	200	33	numerical	numerical	ADJ
ejpam-6506	200	34	simulations	simulation	NOUN
ejpam-6506	200	35	.	.	PUNCT
ejpam-6506	201	1	these	these	DET
ejpam-6506	201	2	simulations	simulation	NOUN
ejpam-6506	201	3	are	be	AUX
ejpam-6506	201	4	designed	design	VERB
ejpam-6506	201	5	not	not	PART
ejpam-6506	201	6	only	only	ADV
ejpam-6506	201	7	to	to	PART
ejpam-6506	201	8	reveal	reveal	VERB
ejpam-6506	201	9	the	the	DET
ejpam-6506	201	10	global	global	ADJ
ejpam-6506	201	11	organization	organization	NOUN
ejpam-6506	201	12	of	of	ADP
ejpam-6506	201	13	the	the	DET
ejpam-6506	201	14	dynamics	dynamic	NOUN
ejpam-6506	201	15	through	through	ADP
ejpam-6506	201	16	bifurcation	bifurcation	NOUN
ejpam-6506	201	17	diagrams	diagram	NOUN
ejpam-6506	201	18	but	but	CCONJ
ejpam-6506	201	19	also	also	ADV
ejpam-6506	201	20	to	to	PART
ejpam-6506	201	21	illustrate	illustrate	VERB
ejpam-6506	201	22	the	the	DET
ejpam-6506	201	23	qualitative	qualitative	ADJ
ejpam-6506	201	24	behavior	behavior	NOUN
ejpam-6506	201	25	of	of	ADP
ejpam-6506	201	26	trajectories	trajectory	NOUN
ejpam-6506	201	27	by	by	ADP
ejpam-6506	201	28	means	mean	NOUN
ejpam-6506	201	29	of	of	ADP
ejpam-6506	201	30	representative	representative	ADJ
ejpam-6506	201	31	phase	phase	NOUN
ejpam-6506	201	32	portraits	portrait	NOUN
ejpam-6506	201	33	.	.	PUNCT
ejpam-6506	202	1	the	the	DET
ejpam-6506	202	2	initial	initial	ADJ
ejpam-6506	202	3	condition	condition	NOUN
ejpam-6506	202	4	(	(	PUNCT
ejpam-6506	202	5	0	0	NUM
ejpam-6506	202	6	,	,	PUNCT
ejpam-6506	202	7	1.6	1.6	NUM
ejpam-6506	202	8	,	,	PUNCT
ejpam-6506	202	9	3	3	NUM
ejpam-6506	202	10	)	)	PUNCT
ejpam-6506	202	11	was	be	AUX
ejpam-6506	202	12	selected	select	VERB
ejpam-6506	202	13	because	because	SCONJ
ejpam-6506	202	14	it	it	PRON
ejpam-6506	202	15	yields	yield	VERB
ejpam-6506	202	16	bounded	bound	VERB
ejpam-6506	202	17	trajectories	trajectory	NOUN
ejpam-6506	202	18	and	and	CCONJ
ejpam-6506	202	19	representative	representative	ADJ
ejpam-6506	202	20	dynamical	dynamical	ADJ
ejpam-6506	202	21	behaviors	behavior	NOUN
ejpam-6506	202	22	(	(	PUNCT
ejpam-6506	202	23	equilibria	equilibrium	NOUN
ejpam-6506	202	24	,	,	PUNCT
ejpam-6506	202	25	periodic	periodic	ADJ
ejpam-6506	202	26	orbits	orbit	NOUN
ejpam-6506	202	27	,	,	PUNCT
ejpam-6506	202	28	and	and	CCONJ
ejpam-6506	202	29	chaos	chaos	NOUN
ejpam-6506	202	30	)	)	PUNCT
ejpam-6506	202	31	across	across	ADP
ejpam-6506	202	32	the	the	DET
ejpam-6506	202	33	chosen	choose	VERB
ejpam-6506	202	34	parameters	parameter	NOUN
ejpam-6506	202	35	,	,	PUNCT
ejpam-6506	202	36	in	in	ADP
ejpam-6506	202	37	line	line	NOUN
ejpam-6506	202	38	with	with	ADP
ejpam-6506	202	39	previous	previous	ADJ
ejpam-6506	202	40	studies	study	NOUN
ejpam-6506	202	41	on	on	ADP
ejpam-6506	202	42	quadratic	quadratic	ADJ
ejpam-6506	202	43	systems	system	NOUN
ejpam-6506	202	44	without	without	ADP
ejpam-6506	202	45	equilibrium	equilibrium	NOUN
ejpam-6506	202	46	[	[	X
ejpam-6506	202	47	14	14	NUM
ejpam-6506	202	48	]	]	PUNCT
ejpam-6506	202	49	.	.	PUNCT
ejpam-6506	203	1	to	to	PART
ejpam-6506	203	2	ensure	ensure	VERB
ejpam-6506	203	3	that	that	SCONJ
ejpam-6506	203	4	only	only	ADV
ejpam-6506	203	5	the	the	DET
ejpam-6506	203	6	asymptotic	asymptotic	ADJ
ejpam-6506	203	7	behavior	behavior	NOUN
ejpam-6506	203	8	of	of	ADP
ejpam-6506	203	9	the	the	DET
ejpam-6506	203	10	system	system	NOUN
ejpam-6506	203	11	was	be	AUX
ejpam-6506	203	12	analyzed	analyze	VERB
ejpam-6506	203	13	,	,	PUNCT
ejpam-6506	203	14	each	each	DET
ejpam-6506	203	15	simulation	simulation	NOUN
ejpam-6506	203	16	was	be	AUX
ejpam-6506	203	17	run	run	VERB
ejpam-6506	203	18	for	for	ADP
ejpam-6506	203	19	40,000	40,000	NUM
ejpam-6506	203	20	iterations	iteration	NOUN
ejpam-6506	203	21	,	,	PUNCT
ejpam-6506	203	22	and	and	CCONJ
ejpam-6506	203	23	the	the	DET
ejpam-6506	203	24	first	first	ADJ
ejpam-6506	203	25	35,000	35,000	NUM
ejpam-6506	203	26	were	be	AUX
ejpam-6506	203	27	discarded	discard	VERB
ejpam-6506	203	28	as	as	ADP
ejpam-6506	203	29	transient	transient	NOUN
ejpam-6506	203	30	.	.	PUNCT
ejpam-6506	204	1	this	this	DET
ejpam-6506	204	2	procedure	procedure	NOUN
ejpam-6506	204	3	eliminates	eliminate	VERB
ejpam-6506	204	4	the	the	DET
ejpam-6506	204	5	influence	influence	NOUN
ejpam-6506	204	6	of	of	ADP
ejpam-6506	204	7	the	the	DET
ejpam-6506	204	8	initial	initial	ADJ
ejpam-6506	204	9	settling	settling	NOUN
ejpam-6506	204	10	phase	phase	NOUN
ejpam-6506	204	11	and	and	CCONJ
ejpam-6506	204	12	guarantees	guarantee	VERB
ejpam-6506	204	13	that	that	SCONJ
ejpam-6506	204	14	the	the	DET
ejpam-6506	204	15	reported	report	VERB
ejpam-6506	204	16	results	result	NOUN
ejpam-6506	204	17	reflect	reflect	VERB
ejpam-6506	204	18	long	long	ADJ
ejpam-6506	204	19	-	-	PUNCT
ejpam-6506	204	20	term	term	NOUN
ejpam-6506	204	21	dynamics	dynamic	NOUN
ejpam-6506	204	22	(	(	PUNCT
ejpam-6506	204	23	equilibria	equilibrium	NOUN
ejpam-6506	204	24	,	,	PUNCT
ejpam-6506	204	25	periodic	periodic	ADJ
ejpam-6506	204	26	orbits	orbit	NOUN
ejpam-6506	204	27	,	,	PUNCT
ejpam-6506	204	28	and	and	CCONJ
ejpam-6506	204	29	chaotic	chaotic	ADJ
ejpam-6506	204	30	attractors	attractor	NOUN
ejpam-6506	204	31	)	)	PUNCT
ejpam-6506	204	32	.	.	PUNCT
ejpam-6506	205	1	m.	m.	PROPN
ejpam-6506	205	2	f.	f.	PROPN
ejpam-6506	205	3	ansori	ansori	PROPN
ejpam-6506	205	4	et	et	PROPN
ejpam-6506	205	5	al	al	PROPN
ejpam-6506	205	6	.	.	PUNCT
ejpam-6506	205	7	/	/	SYM
ejpam-6506	205	8	eur	eur	PROPN
ejpam-6506	205	9	.	.	PUNCT
ejpam-6506	206	1	j.	j.	PROPN
ejpam-6506	206	2	pure	pure	PROPN
ejpam-6506	206	3	appl	appl	PROPN
ejpam-6506	206	4	.	.	PROPN
ejpam-6506	206	5	math	math	PROPN
ejpam-6506	206	6	,	,	PUNCT
ejpam-6506	206	7	18	18	NUM
ejpam-6506	206	8	(	(	PUNCT
ejpam-6506	206	9	4	4	NUM
ejpam-6506	206	10	)	)	PUNCT
ejpam-6506	206	11	(	(	PUNCT
ejpam-6506	206	12	2025	2025	NUM
ejpam-6506	206	13	)	)	PUNCT
ejpam-6506	206	14	,	,	PUNCT
ejpam-6506	206	15	6506	6506	NUM
ejpam-6506	206	16	9	9	NUM
ejpam-6506	206	17	of	of	ADP
ejpam-6506	206	18	27	27	NUM
ejpam-6506	206	19	one	one	NUM
ejpam-6506	206	20	-	-	PUNCT
ejpam-6506	206	21	parameter	parameter	NOUN
ejpam-6506	206	22	bifurcations	bifurcation	NOUN
ejpam-6506	206	23	.	.	PUNCT
ejpam-6506	207	1	system	system	NOUN
ejpam-6506	207	2	(	(	PUNCT
ejpam-6506	207	3	2	2	NUM
ejpam-6506	207	4	)	)	PUNCT
ejpam-6506	207	5	depends	depend	VERB
ejpam-6506	207	6	on	on	ADP
ejpam-6506	207	7	the	the	DET
ejpam-6506	207	8	parameters	parameter	NOUN
ejpam-6506	207	9	a	a	PRON
ejpam-6506	207	10	and	and	CCONJ
ejpam-6506	207	11	h	h	NOUN
ejpam-6506	207	12	,	,	PUNCT
ejpam-6506	207	13	with	with	ADP
ejpam-6506	207	14	equilibrium	equilibrium	NOUN
ejpam-6506	207	15	e	e	NOUN
ejpam-6506	207	16	=	=	SYM
ejpam-6506	207	17	(	(	PUNCT
ejpam-6506	207	18	x	x	X
ejpam-6506	207	19	,	,	PUNCT
ejpam-6506	207	20	0	0	NUM
ejpam-6506	207	21	,	,	PUNCT
ejpam-6506	207	22	x	x	NOUN
ejpam-6506	207	23	)	)	PUNCT
ejpam-6506	207	24	.	.	PUNCT
ejpam-6506	208	1	first	first	ADV
ejpam-6506	208	2	,	,	PUNCT
ejpam-6506	208	3	we	we	PRON
ejpam-6506	208	4	examine	examine	VERB
ejpam-6506	208	5	the	the	DET
ejpam-6506	208	6	one	one	NUM
ejpam-6506	208	7	-	-	PUNCT
ejpam-6506	208	8	parameter	parameter	NOUN
ejpam-6506	208	9	bifurcations	bifurcation	NOUN
ejpam-6506	208	10	using	use	VERB
ejpam-6506	208	11	the	the	DET
ejpam-6506	208	12	local	local	ADJ
ejpam-6506	208	13	maxima	maxima	NOUN
ejpam-6506	208	14	xmax	xmax	NOUN
ejpam-6506	208	15	of	of	ADP
ejpam-6506	208	16	xt	xt	PROPN
ejpam-6506	208	17	.	.	PUNCT
ejpam-6506	209	1	bifurcation	bifurcation	NOUN
ejpam-6506	209	2	diagrams	diagram	NOUN
ejpam-6506	209	3	were	be	AUX
ejpam-6506	209	4	generated	generate	VERB
ejpam-6506	209	5	by	by	ADP
ejpam-6506	209	6	scanning	scan	VERB
ejpam-6506	209	7	the	the	DET
ejpam-6506	209	8	control	control	NOUN
ejpam-6506	209	9	parameters	parameter	NOUN
ejpam-6506	209	10	over	over	ADP
ejpam-6506	209	11	a	a	DET
ejpam-6506	209	12	uniform	uniform	ADJ
ejpam-6506	209	13	grid	grid	NOUN
ejpam-6506	209	14	and	and	CCONJ
ejpam-6506	209	15	plotting	plot	VERB
ejpam-6506	209	16	the	the	DET
ejpam-6506	209	17	numerically	numerically	ADV
ejpam-6506	209	18	detected	detect	VERB
ejpam-6506	209	19	maxima	maxima	NOUN
ejpam-6506	209	20	.	.	PUNCT
ejpam-6506	210	1	the	the	DET
ejpam-6506	210	2	accompanying	accompanying	ADJ
ejpam-6506	210	3	largest	large	ADJ
ejpam-6506	210	4	lyapunov	lyapunov	ADJ
ejpam-6506	210	5	exponent	exponent	NOUN
ejpam-6506	210	6	was	be	AUX
ejpam-6506	210	7	computed	compute	VERB
ejpam-6506	210	8	using	use	VERB
ejpam-6506	210	9	the	the	DET
ejpam-6506	210	10	standard	standard	ADJ
ejpam-6506	210	11	qr	qr	NOUN
ejpam-6506	210	12	-	-	PUNCT
ejpam-6506	210	13	based	base	VERB
ejpam-6506	210	14	algorithm	algorithm	NOUN
ejpam-6506	210	15	to	to	PART
ejpam-6506	210	16	confirm	confirm	VERB
ejpam-6506	210	17	the	the	DET
ejpam-6506	210	18	transition	transition	NOUN
ejpam-6506	210	19	between	between	ADP
ejpam-6506	210	20	periodic	periodic	ADJ
ejpam-6506	210	21	and	and	CCONJ
ejpam-6506	210	22	chaotic	chaotic	ADJ
ejpam-6506	210	23	regimes	regime	NOUN
ejpam-6506	210	24	.	.	PUNCT
ejpam-6506	211	1	as	as	SCONJ
ejpam-6506	211	2	shown	show	VERB
ejpam-6506	211	3	in	in	ADP
ejpam-6506	211	4	figure	figure	NOUN
ejpam-6506	211	5	2	2	NUM
ejpam-6506	211	6	,	,	PUNCT
ejpam-6506	211	7	the	the	DET
ejpam-6506	211	8	bifurcation	bifurcation	NOUN
ejpam-6506	211	9	diagram	diagram	NOUN
ejpam-6506	211	10	with	with	ADP
ejpam-6506	211	11	respect	respect	NOUN
ejpam-6506	211	12	to	to	ADP
ejpam-6506	211	13	a	a	DET
ejpam-6506	211	14	exhibits	exhibit	NOUN
ejpam-6506	211	15	a	a	DET
ejpam-6506	211	16	typical	typical	ADJ
ejpam-6506	211	17	period	period	NOUN
ejpam-6506	211	18	doubling	double	VERB
ejpam-6506	211	19	route	route	NOUN
ejpam-6506	211	20	to	to	PART
ejpam-6506	211	21	chaos	chaos	NOUN
ejpam-6506	211	22	.	.	PUNCT
ejpam-6506	212	1	figure	figure	NOUN
ejpam-6506	212	2	3	3	NUM
ejpam-6506	212	3	illustrates	illustrate	VERB
ejpam-6506	212	4	the	the	DET
ejpam-6506	212	5	effect	effect	NOUN
ejpam-6506	212	6	of	of	ADP
ejpam-6506	212	7	step	step	NOUN
ejpam-6506	212	8	size	size	NOUN
ejpam-6506	212	9	h	h	NOUN
ejpam-6506	212	10	,	,	PUNCT
ejpam-6506	212	11	where	where	SCONJ
ejpam-6506	212	12	increasing	increase	VERB
ejpam-6506	212	13	h	h	NOUN
ejpam-6506	212	14	eventually	eventually	ADV
ejpam-6506	212	15	destabilizes	destabilize	VERB
ejpam-6506	212	16	the	the	DET
ejpam-6506	212	17	dynamics	dynamic	NOUN
ejpam-6506	212	18	and	and	CCONJ
ejpam-6506	212	19	induces	induce	VERB
ejpam-6506	212	20	numerical	numerical	ADJ
ejpam-6506	212	21	chaos	chaos	NOUN
ejpam-6506	212	22	in	in	ADP
ejpam-6506	212	23	agreement	agreement	NOUN
ejpam-6506	212	24	with	with	ADP
ejpam-6506	212	25	the	the	DET
ejpam-6506	212	26	theoretical	theoretical	ADJ
ejpam-6506	212	27	step	step	NOUN
ejpam-6506	212	28	-	-	PUNCT
ejpam-6506	212	29	size	size	NOUN
ejpam-6506	212	30	restriction	restriction	NOUN
ejpam-6506	212	31	.	.	PUNCT
ejpam-6506	213	1	(	(	PUNCT
ejpam-6506	213	2	a	a	X
ejpam-6506	213	3	)	)	PUNCT
ejpam-6506	213	4	(	(	PUNCT
ejpam-6506	213	5	b	b	X
ejpam-6506	213	6	)	)	PUNCT
ejpam-6506	213	7	figure	figure	NOUN
ejpam-6506	213	8	2	2	NUM
ejpam-6506	213	9	:	:	PUNCT
ejpam-6506	213	10	one	one	NUM
ejpam-6506	213	11	-	-	PUNCT
ejpam-6506	213	12	parameter	parameter	NOUN
ejpam-6506	213	13	bifurcation	bifurcation	NOUN
ejpam-6506	213	14	(	(	PUNCT
ejpam-6506	213	15	standard	standard	PROPN
ejpam-6506	213	16	euler	euler	NOUN
ejpam-6506	213	17	)	)	PUNCT
ejpam-6506	213	18	with	with	ADP
ejpam-6506	213	19	respect	respect	NOUN
ejpam-6506	213	20	to	to	ADP
ejpam-6506	213	21	a	a	PRON
ejpam-6506	213	22	at	at	ADP
ejpam-6506	213	23	fixed	fix	VERB
ejpam-6506	213	24	h	h	NOUN
ejpam-6506	214	1	=	=	NOUN
ejpam-6506	214	2	0.01	0.01	NUM
ejpam-6506	214	3	.	.	PUNCT
ejpam-6506	215	1	(	(	PUNCT
ejpam-6506	215	2	a	a	X
ejpam-6506	215	3	)	)	PUNCT
ejpam-6506	215	4	local	local	ADJ
ejpam-6506	215	5	maximum	maximum	PROPN
ejpam-6506	215	6	xmax	xmax	NOUN
ejpam-6506	215	7	of	of	ADP
ejpam-6506	215	8	xt	xt	PROPN
ejpam-6506	215	9	.	.	PUNCT
ejpam-6506	216	1	(	(	PUNCT
ejpam-6506	216	2	b	b	X
ejpam-6506	216	3	)	)	PUNCT
ejpam-6506	216	4	lyapunov	lyapunov	PROPN
ejpam-6506	216	5	spectrum	spectrum	NOUN
ejpam-6506	216	6	(	(	PUNCT
ejpam-6506	216	7	λ1	λ1	ADJ
ejpam-6506	216	8	,	,	PUNCT
ejpam-6506	216	9	λ2	λ2	PROPN
ejpam-6506	216	10	,	,	PUNCT
ejpam-6506	216	11	λ3	λ3	PROPN
ejpam-6506	216	12	)	)	PUNCT
ejpam-6506	216	13	.	.	PUNCT
ejpam-6506	217	1	each	each	DET
ejpam-6506	217	2	run	run	NOUN
ejpam-6506	217	3	used	use	VERB
ejpam-6506	217	4	40,000	40,000	NUM
ejpam-6506	217	5	iterations	iteration	NOUN
ejpam-6506	217	6	,	,	PUNCT
ejpam-6506	217	7	with	with	ADP
ejpam-6506	217	8	the	the	DET
ejpam-6506	217	9	first	first	ADJ
ejpam-6506	217	10	35,000	35,000	NUM
ejpam-6506	217	11	discarded	discard	VERB
ejpam-6506	217	12	as	as	ADP
ejpam-6506	217	13	transients	transient	NOUN
ejpam-6506	217	14	.	.	PUNCT
ejpam-6506	218	1	positive	positive	ADJ
ejpam-6506	218	2	values	value	NOUN
ejpam-6506	218	3	of	of	ADP
ejpam-6506	218	4	the	the	DET
ejpam-6506	218	5	largest	large	ADJ
ejpam-6506	218	6	lyapunov	lyapunov	ADJ
ejpam-6506	218	7	exponent	exponent	NOUN
ejpam-6506	218	8	indicate	indicate	VERB
ejpam-6506	218	9	chaotic	chaotic	ADJ
ejpam-6506	218	10	intervals	interval	NOUN
ejpam-6506	218	11	,	,	PUNCT
ejpam-6506	218	12	while	while	SCONJ
ejpam-6506	218	13	clustered	clustered	ADJ
ejpam-6506	218	14	xmax	xmax	PROPN
ejpam-6506	218	15	bands	band	NOUN
ejpam-6506	218	16	(	(	PUNCT
ejpam-6506	218	17	panel	panel	NOUN
ejpam-6506	218	18	a	a	NOUN
ejpam-6506	218	19	)	)	PUNCT
ejpam-6506	218	20	correspond	correspond	NOUN
ejpam-6506	218	21	to	to	ADP
ejpam-6506	218	22	periodic	periodic	ADJ
ejpam-6506	218	23	windows	window	NOUN
ejpam-6506	218	24	.	.	PUNCT
ejpam-6506	219	1	the	the	DET
ejpam-6506	219	2	largest	large	ADJ
ejpam-6506	219	3	lyapunov	lyapunov	ADJ
ejpam-6506	219	4	exponent	exponent	NOUN
ejpam-6506	219	5	was	be	AUX
ejpam-6506	219	6	computed	compute	VERB
ejpam-6506	219	7	following	follow	VERB
ejpam-6506	219	8	the	the	DET
ejpam-6506	219	9	standard	standard	ADJ
ejpam-6506	219	10	algorithm	algorithm	NOUN
ejpam-6506	219	11	of	of	ADP
ejpam-6506	219	12	wolf	wolf	PROPN
ejpam-6506	219	13	et	et	PROPN
ejpam-6506	219	14	al	al	PROPN
ejpam-6506	219	15	.	.	PUNCT
ejpam-6506	220	1	[	[	X
ejpam-6506	220	2	34	34	NUM
ejpam-6506	220	3	]	]	PUNCT
ejpam-6506	220	4	,	,	PUNCT
ejpam-6506	220	5	in	in	ADP
ejpam-6506	220	6	which	which	PRON
ejpam-6506	220	7	the	the	DET
ejpam-6506	220	8	separation	separation	NOUN
ejpam-6506	220	9	of	of	ADP
ejpam-6506	220	10	nearby	nearby	ADJ
ejpam-6506	220	11	trajectories	trajectory	NOUN
ejpam-6506	220	12	was	be	AUX
ejpam-6506	220	13	measured	measure	VERB
ejpam-6506	220	14	iteratively	iteratively	ADV
ejpam-6506	220	15	and	and	CCONJ
ejpam-6506	220	16	renormalized	renormalize	VERB
ejpam-6506	220	17	along	along	ADP
ejpam-6506	220	18	the	the	DET
ejpam-6506	220	19	orbit	orbit	NOUN
ejpam-6506	220	20	to	to	PART
ejpam-6506	220	21	avoid	avoid	VERB
ejpam-6506	220	22	numerical	numerical	ADJ
ejpam-6506	220	23	overflow	overflow	NOUN
ejpam-6506	220	24	.	.	PUNCT
ejpam-6506	221	1	specifically	specifically	ADV
ejpam-6506	221	2	,	,	PUNCT
ejpam-6506	221	3	for	for	ADP
ejpam-6506	221	4	each	each	DET
ejpam-6506	221	5	parameter	parameter	NOUN
ejpam-6506	221	6	set	set	NOUN
ejpam-6506	221	7	,	,	PUNCT
ejpam-6506	221	8	we	we	PRON
ejpam-6506	221	9	evolved	evolve	VERB
ejpam-6506	221	10	the	the	DET
ejpam-6506	221	11	system	system	NOUN
ejpam-6506	221	12	for	for	ADP
ejpam-6506	221	13	5×	5×	PROPN
ejpam-6506	221	14	104	104	NUM
ejpam-6506	221	15	iterations	iteration	NOUN
ejpam-6506	221	16	,	,	PUNCT
ejpam-6506	221	17	discarded	discard	VERB
ejpam-6506	221	18	the	the	DET
ejpam-6506	221	19	first	first	ADJ
ejpam-6506	221	20	104	104	NUM
ejpam-6506	221	21	as	as	ADP
ejpam-6506	221	22	transients	transient	NOUN
ejpam-6506	221	23	,	,	PUNCT
ejpam-6506	221	24	and	and	CCONJ
ejpam-6506	221	25	applied	apply	VERB
ejpam-6506	221	26	a	a	DET
ejpam-6506	221	27	renormalization	renormalization	NOUN
ejpam-6506	221	28	procedure	procedure	NOUN
ejpam-6506	221	29	at	at	ADP
ejpam-6506	221	30	each	each	DET
ejpam-6506	221	31	step	step	NOUN
ejpam-6506	221	32	to	to	PART
ejpam-6506	221	33	estimate	estimate	VERB
ejpam-6506	221	34	the	the	DET
ejpam-6506	221	35	average	average	ADJ
ejpam-6506	221	36	exponential	exponential	ADJ
ejpam-6506	221	37	rate	rate	NOUN
ejpam-6506	221	38	of	of	ADP
ejpam-6506	221	39	divergence	divergence	NOUN
ejpam-6506	221	40	.	.	PUNCT
ejpam-6506	222	1	a	a	DET
ejpam-6506	222	2	positive	positive	ADJ
ejpam-6506	222	3	value	value	NOUN
ejpam-6506	222	4	of	of	ADP
ejpam-6506	222	5	the	the	DET
ejpam-6506	222	6	computed	compute	VERB
ejpam-6506	222	7	exponent	exponent	NOUN
ejpam-6506	222	8	is	be	AUX
ejpam-6506	222	9	considered	consider	VERB
ejpam-6506	222	10	as	as	ADP
ejpam-6506	222	11	an	an	DET
ejpam-6506	222	12	indicator	indicator	NOUN
ejpam-6506	222	13	of	of	ADP
ejpam-6506	222	14	chaos	chaos	NOUN
ejpam-6506	222	15	.	.	PUNCT
ejpam-6506	223	1	this	this	DET
ejpam-6506	223	2	method	method	NOUN
ejpam-6506	223	3	is	be	AUX
ejpam-6506	223	4	widely	widely	ADV
ejpam-6506	223	5	used	use	VERB
ejpam-6506	223	6	in	in	ADP
ejpam-6506	223	7	the	the	DET
ejpam-6506	223	8	study	study	NOUN
ejpam-6506	223	9	of	of	ADP
ejpam-6506	223	10	discrete	discrete	ADJ
ejpam-6506	223	11	dynamical	dynamical	ADJ
ejpam-6506	223	12	systems	system	NOUN
ejpam-6506	223	13	and	and	CCONJ
ejpam-6506	223	14	ensures	ensure	VERB
ejpam-6506	223	15	the	the	DET
ejpam-6506	223	16	consistency	consistency	NOUN
ejpam-6506	223	17	of	of	ADP
ejpam-6506	223	18	chaotic	chaotic	ADJ
ejpam-6506	223	19	diagnostics	diagnostic	NOUN
ejpam-6506	223	20	(	(	PUNCT
ejpam-6506	223	21	see	see	VERB
ejpam-6506	223	22	also	also	ADV
ejpam-6506	223	23	[	[	X
ejpam-6506	223	24	35	35	NUM
ejpam-6506	223	25	,	,	PUNCT
ejpam-6506	223	26	36	36	NUM
ejpam-6506	223	27	]	]	NUM
ejpam-6506	223	28	)	)	PUNCT
ejpam-6506	223	29	.	.	PUNCT
ejpam-6506	224	1	m.	m.	PROPN
ejpam-6506	224	2	f.	f.	PROPN
ejpam-6506	224	3	ansori	ansori	PROPN
ejpam-6506	224	4	et	et	PROPN
ejpam-6506	224	5	al	al	PROPN
ejpam-6506	224	6	.	.	PUNCT
ejpam-6506	224	7	/	/	SYM
ejpam-6506	224	8	eur	eur	PROPN
ejpam-6506	224	9	.	.	PUNCT
ejpam-6506	225	1	j.	j.	PROPN
ejpam-6506	225	2	pure	pure	PROPN
ejpam-6506	225	3	appl	appl	PROPN
ejpam-6506	225	4	.	.	PROPN
ejpam-6506	225	5	math	math	PROPN
ejpam-6506	225	6	,	,	PUNCT
ejpam-6506	225	7	18	18	NUM
ejpam-6506	225	8	(	(	PUNCT
ejpam-6506	225	9	4	4	NUM
ejpam-6506	225	10	)	)	PUNCT
ejpam-6506	225	11	(	(	PUNCT
ejpam-6506	225	12	2025	2025	NUM
ejpam-6506	225	13	)	)	PUNCT
ejpam-6506	225	14	,	,	PUNCT
ejpam-6506	225	15	6506	6506	NUM
ejpam-6506	225	16	10	10	NUM
ejpam-6506	225	17	of	of	ADP
ejpam-6506	225	18	27	27	NUM
ejpam-6506	225	19	(	(	PUNCT
ejpam-6506	225	20	a	a	NOUN
ejpam-6506	225	21	)	)	PUNCT
ejpam-6506	225	22	(	(	PUNCT
ejpam-6506	225	23	b	b	X
ejpam-6506	225	24	)	)	PUNCT
ejpam-6506	225	25	figure	figure	NOUN
ejpam-6506	225	26	3	3	NUM
ejpam-6506	225	27	:	:	PUNCT
ejpam-6506	225	28	one	one	NUM
ejpam-6506	225	29	-	-	PUNCT
ejpam-6506	225	30	parameter	parameter	NOUN
ejpam-6506	225	31	bifurcation	bifurcation	NOUN
ejpam-6506	225	32	(	(	PUNCT
ejpam-6506	225	33	standard	standard	PROPN
ejpam-6506	225	34	euler	euler	NOUN
ejpam-6506	225	35	)	)	PUNCT
ejpam-6506	225	36	with	with	ADP
ejpam-6506	225	37	respect	respect	NOUN
ejpam-6506	225	38	to	to	PART
ejpam-6506	225	39	step	step	NOUN
ejpam-6506	225	40	size	size	NOUN
ejpam-6506	225	41	h	h	NOUN
ejpam-6506	225	42	at	at	ADP
ejpam-6506	225	43	fixed	fix	VERB
ejpam-6506	225	44	a	a	DET
ejpam-6506	225	45	=	=	ADJ
ejpam-6506	225	46	1	1	NUM
ejpam-6506	225	47	.	.	PUNCT
ejpam-6506	226	1	(	(	PUNCT
ejpam-6506	226	2	a	a	X
ejpam-6506	226	3	)	)	PUNCT
ejpam-6506	226	4	local	local	ADJ
ejpam-6506	226	5	maxima	maxima	NOUN
ejpam-6506	226	6	xmax	xmax	NOUN
ejpam-6506	226	7	;	;	PUNCT
ejpam-6506	226	8	(	(	PUNCT
ejpam-6506	226	9	b	b	X
ejpam-6506	226	10	)	)	PUNCT
ejpam-6506	226	11	lyapunov	lyapunov	PROPN
ejpam-6506	226	12	spectrum	spectrum	NOUN
ejpam-6506	226	13	(	(	PUNCT
ejpam-6506	226	14	λ1	λ1	ADJ
ejpam-6506	226	15	,	,	PUNCT
ejpam-6506	226	16	λ2	λ2	PROPN
ejpam-6506	226	17	,	,	PUNCT
ejpam-6506	226	18	λ3	λ3	PROPN
ejpam-6506	226	19	)	)	PUNCT
ejpam-6506	226	20	.	.	PUNCT
ejpam-6506	227	1	each	each	DET
ejpam-6506	227	2	run	run	NOUN
ejpam-6506	227	3	uses	use	VERB
ejpam-6506	227	4	40,000	40,000	NUM
ejpam-6506	227	5	iterations	iteration	NOUN
ejpam-6506	227	6	with	with	ADP
ejpam-6506	227	7	the	the	DET
ejpam-6506	227	8	first	first	ADJ
ejpam-6506	227	9	35,000	35,000	NUM
ejpam-6506	227	10	discarded	discard	VERB
ejpam-6506	227	11	as	as	ADP
ejpam-6506	227	12	transients	transient	NOUN
ejpam-6506	227	13	.	.	PUNCT
ejpam-6506	228	1	the	the	DET
ejpam-6506	228	2	spectrum	spectrum	NOUN
ejpam-6506	228	3	highlights	highlight	NOUN
ejpam-6506	228	4	chaotic	chaotic	ADJ
ejpam-6506	228	5	regimes	regime	NOUN
ejpam-6506	228	6	(	(	PUNCT
ejpam-6506	228	7	positive	positive	ADJ
ejpam-6506	228	8	λ1	λ1	NOUN
ejpam-6506	228	9	)	)	PUNCT
ejpam-6506	228	10	and	and	CCONJ
ejpam-6506	228	11	step	step	NOUN
ejpam-6506	228	12	-	-	PUNCT
ejpam-6506	228	13	size	size	NOUN
ejpam-6506	228	14	–	–	PUNCT
ejpam-6506	228	15	induced	induce	VERB
ejpam-6506	228	16	numerical	numerical	ADJ
ejpam-6506	228	17	instabilities	instability	NOUN
ejpam-6506	228	18	.	.	PUNCT
ejpam-6506	229	1	two	two	NUM
ejpam-6506	229	2	-	-	PUNCT
ejpam-6506	229	3	parameter	parameter	NOUN
ejpam-6506	229	4	bifurcation	bifurcation	NOUN
ejpam-6506	229	5	.	.	PUNCT
ejpam-6506	230	1	to	to	PART
ejpam-6506	230	2	explore	explore	VERB
ejpam-6506	230	3	the	the	DET
ejpam-6506	230	4	combined	combine	VERB
ejpam-6506	230	5	effects	effect	NOUN
ejpam-6506	230	6	of	of	ADP
ejpam-6506	230	7	a	a	PRON
ejpam-6506	230	8	and	and	CCONJ
ejpam-6506	230	9	h	h	NOUN
ejpam-6506	230	10	,	,	PUNCT
ejpam-6506	230	11	we	we	PRON
ejpam-6506	230	12	constructed	construct	VERB
ejpam-6506	230	13	a	a	DET
ejpam-6506	230	14	two	two	NUM
ejpam-6506	230	15	-	-	PUNCT
ejpam-6506	230	16	parameter	parameter	NOUN
ejpam-6506	230	17	diagram	diagram	NOUN
ejpam-6506	230	18	in	in	ADP
ejpam-6506	230	19	the	the	DET
ejpam-6506	230	20	(	(	PUNCT
ejpam-6506	230	21	a	a	PROPN
ejpam-6506	230	22	,	,	PUNCT
ejpam-6506	230	23	h	h	NOUN
ejpam-6506	230	24	)	)	PUNCT
ejpam-6506	230	25	plane	plane	NOUN
ejpam-6506	230	26	.	.	PUNCT
ejpam-6506	231	1	the	the	DET
ejpam-6506	231	2	maximum	maximum	PROPN
ejpam-6506	231	3	value	value	NOUN
ejpam-6506	231	4	xmax	xmax	NOUN
ejpam-6506	231	5	in	in	ADP
ejpam-6506	231	6	the	the	DET
ejpam-6506	231	7	trajectory	trajectory	NOUN
ejpam-6506	231	8	was	be	AUX
ejpam-6506	231	9	recorded	record	VERB
ejpam-6506	231	10	,	,	PUNCT
ejpam-6506	231	11	and	and	CCONJ
ejpam-6506	231	12	the	the	DET
ejpam-6506	231	13	largest	large	ADJ
ejpam-6506	231	14	lyapunov	lyapunov	ADJ
ejpam-6506	231	15	exponent	exponent	NOUN
ejpam-6506	231	16	was	be	AUX
ejpam-6506	231	17	computed	compute	VERB
ejpam-6506	231	18	in	in	ADP
ejpam-6506	231	19	parallel	parallel	NOUN
ejpam-6506	231	20	.	.	PUNCT
ejpam-6506	232	1	the	the	DET
ejpam-6506	232	2	resulting	result	VERB
ejpam-6506	232	3	diagrams	diagram	NOUN
ejpam-6506	232	4	in	in	ADP
ejpam-6506	232	5	figure	figure	NOUN
ejpam-6506	232	6	4	4	NUM
ejpam-6506	232	7	provide	provide	VERB
ejpam-6506	232	8	a	a	DET
ejpam-6506	232	9	compact	compact	ADJ
ejpam-6506	232	10	global	global	ADJ
ejpam-6506	232	11	picture	picture	NOUN
ejpam-6506	232	12	of	of	ADP
ejpam-6506	232	13	the	the	DET
ejpam-6506	232	14	dynamics	dynamic	NOUN
ejpam-6506	232	15	,	,	PUNCT
ejpam-6506	232	16	including	include	VERB
ejpam-6506	232	17	the	the	DET
ejpam-6506	232	18	periodic	periodic	ADJ
ejpam-6506	232	19	windows	window	NOUN
ejpam-6506	232	20	,	,	PUNCT
ejpam-6506	232	21	embedded	embed	VERB
ejpam-6506	232	22	chaotic	chaotic	ADJ
ejpam-6506	232	23	regions	region	NOUN
ejpam-6506	232	24	,	,	PUNCT
ejpam-6506	232	25	and	and	CCONJ
ejpam-6506	232	26	divergence	divergence	NOUN
ejpam-6506	232	27	boundaries	boundary	NOUN
ejpam-6506	232	28	.	.	PUNCT
ejpam-6506	233	1	attractor	attractor	NOUN
ejpam-6506	233	2	dimension	dimension	NOUN
ejpam-6506	233	3	beyond	beyond	ADP
ejpam-6506	233	4	the	the	DET
ejpam-6506	233	5	largest	large	ADJ
ejpam-6506	233	6	lyapunov	lyapunov	ADJ
ejpam-6506	233	7	exponent	exponent	NOUN
ejpam-6506	233	8	,	,	PUNCT
ejpam-6506	233	9	we	we	PRON
ejpam-6506	233	10	also	also	ADV
ejpam-6506	233	11	quantified	quantify	VERB
ejpam-6506	233	12	attractor	attractor	NOUN
ejpam-6506	233	13	complexity	complexity	NOUN
ejpam-6506	233	14	by	by	ADP
ejpam-6506	233	15	computing	compute	VERB
ejpam-6506	233	16	the	the	DET
ejpam-6506	233	17	kaplan	kaplan	PROPN
ejpam-6506	233	18	–	–	PUNCT
ejpam-6506	233	19	yorke	yorke	PROPN
ejpam-6506	233	20	(	(	PUNCT
ejpam-6506	233	21	ky	ky	PROPN
ejpam-6506	233	22	)	)	PUNCT
ejpam-6506	233	23	dimension	dimension	NOUN
ejpam-6506	233	24	from	from	ADP
ejpam-6506	233	25	the	the	DET
ejpam-6506	233	26	full	full	ADJ
ejpam-6506	233	27	lyapunov	lyapunov	NOUN
ejpam-6506	233	28	spectrum	spectrum	NOUN
ejpam-6506	233	29	.	.	PUNCT
ejpam-6506	234	1	for	for	ADP
ejpam-6506	234	2	a	a	DET
ejpam-6506	234	3	typical	typical	ADJ
ejpam-6506	234	4	3d	3d	ADJ
ejpam-6506	234	5	chaotic	chaotic	ADJ
ejpam-6506	234	6	map	map	NOUN
ejpam-6506	234	7	,	,	PUNCT
ejpam-6506	234	8	we	we	PRON
ejpam-6506	234	9	find	find	VERB
ejpam-6506	234	10	λ1	λ1	PROPN
ejpam-6506	234	11	>	>	X
ejpam-6506	234	12	0	0	PROPN
ejpam-6506	234	13	,	,	PUNCT
ejpam-6506	234	14	λ2	λ2	PROPN
ejpam-6506	234	15	≈	≈	PROPN
ejpam-6506	234	16	0	0	NUM
ejpam-6506	234	17	,	,	PUNCT
ejpam-6506	234	18	λ3	λ3	PROPN
ejpam-6506	234	19	<	<	X
ejpam-6506	234	20	0	0	NUM
ejpam-6506	234	21	,	,	PUNCT
ejpam-6506	234	22	and	and	CCONJ
ejpam-6506	234	23	thus	thus	ADV
ejpam-6506	234	24	j	j	X
ejpam-6506	234	25	=	=	SYM
ejpam-6506	234	26	2	2	NUM
ejpam-6506	234	27	and	and	CCONJ
ejpam-6506	234	28	dky	dky	ADJ
ejpam-6506	234	29	=	=	SYM
ejpam-6506	234	30	2	2	NUM
ejpam-6506	234	31	+	+	CCONJ
ejpam-6506	234	32	(	(	PUNCT
ejpam-6506	234	33	λ1	λ1	ADJ
ejpam-6506	234	34	+	+	X
ejpam-6506	234	35	λ2)/|λ3|	λ2)/|λ3|	PROPN
ejpam-6506	234	36	.	.	PUNCT
ejpam-6506	235	1	when	when	SCONJ
ejpam-6506	235	2	trajectories	trajectory	NOUN
ejpam-6506	235	3	converge	converge	VERB
ejpam-6506	235	4	to	to	ADP
ejpam-6506	235	5	an	an	DET
ejpam-6506	235	6	equilibrium	equilibrium	NOUN
ejpam-6506	235	7	or	or	CCONJ
ejpam-6506	235	8	periodic	periodic	ADJ
ejpam-6506	235	9	orbit	orbit	NOUN
ejpam-6506	235	10	,	,	PUNCT
ejpam-6506	235	11	the	the	DET
ejpam-6506	235	12	spectrum	spectrum	NOUN
ejpam-6506	235	13	collapses	collapse	VERB
ejpam-6506	235	14	and	and	CCONJ
ejpam-6506	235	15	dky	dky	VERB
ejpam-6506	235	16	takes	take	VERB
ejpam-6506	235	17	integer	integer	NOUN
ejpam-6506	235	18	values	value	NOUN
ejpam-6506	235	19	(	(	PUNCT
ejpam-6506	235	20	0	0	NUM
ejpam-6506	235	21	or	or	CCONJ
ejpam-6506	235	22	1	1	NUM
ejpam-6506	235	23	)	)	PUNCT
ejpam-6506	235	24	,	,	PUNCT
ejpam-6506	235	25	whereas	whereas	SCONJ
ejpam-6506	235	26	in	in	ADP
ejpam-6506	235	27	chaotic	chaotic	ADJ
ejpam-6506	235	28	regimes	regime	NOUN
ejpam-6506	235	29	it	it	PRON
ejpam-6506	235	30	lies	lie	VERB
ejpam-6506	235	31	strictly	strictly	ADV
ejpam-6506	235	32	between	between	ADP
ejpam-6506	235	33	2	2	NUM
ejpam-6506	235	34	and	and	CCONJ
ejpam-6506	235	35	3	3	NUM
ejpam-6506	235	36	.	.	PUNCT
ejpam-6506	236	1	the	the	DET
ejpam-6506	236	2	variation	variation	NOUN
ejpam-6506	236	3	of	of	ADP
ejpam-6506	236	4	dky	dky	NOUN
ejpam-6506	236	5	with	with	ADP
ejpam-6506	236	6	respect	respect	NOUN
ejpam-6506	236	7	to	to	ADP
ejpam-6506	236	8	a	a	PRON
ejpam-6506	236	9	and	and	CCONJ
ejpam-6506	236	10	h	h	NOUN
ejpam-6506	236	11	is	be	AUX
ejpam-6506	236	12	shown	show	VERB
ejpam-6506	236	13	in	in	ADP
ejpam-6506	236	14	figure	figure	NOUN
ejpam-6506	236	15	5	5	NUM
ejpam-6506	236	16	,	,	PUNCT
ejpam-6506	236	17	confirming	confirm	VERB
ejpam-6506	236	18	the	the	DET
ejpam-6506	236	19	fractal	fractal	ADJ
ejpam-6506	236	20	geometry	geometry	NOUN
ejpam-6506	236	21	of	of	ADP
ejpam-6506	236	22	chaotic	chaotic	ADJ
ejpam-6506	236	23	attractors	attractor	NOUN
ejpam-6506	236	24	.	.	PUNCT
ejpam-6506	237	1	m.	m.	PROPN
ejpam-6506	237	2	f.	f.	PROPN
ejpam-6506	237	3	ansori	ansori	PROPN
ejpam-6506	237	4	et	et	PROPN
ejpam-6506	237	5	al	al	PROPN
ejpam-6506	237	6	.	.	PUNCT
ejpam-6506	237	7	/	/	SYM
ejpam-6506	237	8	eur	eur	PROPN
ejpam-6506	237	9	.	.	PUNCT
ejpam-6506	238	1	j.	j.	PROPN
ejpam-6506	238	2	pure	pure	PROPN
ejpam-6506	238	3	appl	appl	PROPN
ejpam-6506	238	4	.	.	PROPN
ejpam-6506	238	5	math	math	PROPN
ejpam-6506	238	6	,	,	PUNCT
ejpam-6506	238	7	18	18	NUM
ejpam-6506	238	8	(	(	PUNCT
ejpam-6506	238	9	4	4	NUM
ejpam-6506	238	10	)	)	PUNCT
ejpam-6506	238	11	(	(	PUNCT
ejpam-6506	238	12	2025	2025	NUM
ejpam-6506	238	13	)	)	PUNCT
ejpam-6506	238	14	,	,	PUNCT
ejpam-6506	238	15	6506	6506	NUM
ejpam-6506	238	16	11	11	NUM
ejpam-6506	238	17	of	of	ADP
ejpam-6506	238	18	27	27	NUM
ejpam-6506	238	19	(	(	PUNCT
ejpam-6506	238	20	a	a	NOUN
ejpam-6506	238	21	)	)	PUNCT
ejpam-6506	238	22	(	(	PUNCT
ejpam-6506	238	23	b	b	X
ejpam-6506	238	24	)	)	PUNCT
ejpam-6506	238	25	figure	figure	NOUN
ejpam-6506	238	26	4	4	NUM
ejpam-6506	238	27	:	:	PUNCT
ejpam-6506	238	28	two	two	NUM
ejpam-6506	238	29	-	-	PUNCT
ejpam-6506	238	30	parameter	parameter	NOUN
ejpam-6506	238	31	bifurcation	bifurcation	NOUN
ejpam-6506	238	32	diagrams	diagram	NOUN
ejpam-6506	238	33	in	in	ADP
ejpam-6506	238	34	the	the	DET
ejpam-6506	238	35	(	(	PUNCT
ejpam-6506	238	36	a	a	PROPN
ejpam-6506	238	37	,	,	PUNCT
ejpam-6506	238	38	h	h	NOUN
ejpam-6506	238	39	)	)	PUNCT
ejpam-6506	238	40	plane	plane	NOUN
ejpam-6506	238	41	for	for	ADP
ejpam-6506	238	42	the	the	DET
ejpam-6506	238	43	standard	standard	PROPN
ejpam-6506	238	44	euler	euler	PROPN
ejpam-6506	238	45	scheme	scheme	NOUN
ejpam-6506	238	46	.	.	PUNCT
ejpam-6506	239	1	(	(	PUNCT
ejpam-6506	239	2	a	a	X
ejpam-6506	239	3	)	)	PUNCT
ejpam-6506	239	4	map	map	NOUN
ejpam-6506	239	5	of	of	ADP
ejpam-6506	239	6	xmax	xmax	PROPN
ejpam-6506	239	7	:	:	PUNCT
ejpam-6506	240	1	colour	colour	NOUN
ejpam-6506	240	2	bar	bar	NOUN
ejpam-6506	240	3	encodes	encode	VERB
ejpam-6506	240	4	the	the	DET
ejpam-6506	240	5	magnitude	magnitude	NOUN
ejpam-6506	240	6	of	of	ADP
ejpam-6506	240	7	the	the	DET
ejpam-6506	240	8	largest	large	ADJ
ejpam-6506	240	9	x	x	ADJ
ejpam-6506	240	10	values	value	NOUN
ejpam-6506	240	11	;	;	PUNCT
ejpam-6506	240	12	black	black	ADJ
ejpam-6506	240	13	regions	region	NOUN
ejpam-6506	240	14	correspond	correspond	VERB
ejpam-6506	240	15	to	to	ADP
ejpam-6506	240	16	divergence	divergence	NOUN
ejpam-6506	240	17	.	.	PUNCT
ejpam-6506	241	1	(	(	PUNCT
ejpam-6506	241	2	b	b	X
ejpam-6506	241	3	)	)	PUNCT
ejpam-6506	241	4	largest	large	ADJ
ejpam-6506	241	5	lyapunov	lyapunov	ADJ
ejpam-6506	241	6	exponent	exponent	NOUN
ejpam-6506	241	7	map	map	NOUN
ejpam-6506	241	8	computed	compute	VERB
ejpam-6506	241	9	via	via	ADP
ejpam-6506	241	10	qr	qr	PROPN
ejpam-6506	241	11	decomposition	decomposition	NOUN
ejpam-6506	241	12	:	:	PUNCT
ejpam-6506	241	13	negative	negative	ADJ
ejpam-6506	241	14	values	value	NOUN
ejpam-6506	241	15	(	(	PUNCT
ejpam-6506	241	16	yellow	yellow	ADJ
ejpam-6506	241	17	–	–	PUNCT
ejpam-6506	241	18	magenta	magenta	NOUN
ejpam-6506	241	19	shades	shade	NOUN
ejpam-6506	241	20	)	)	PUNCT
ejpam-6506	241	21	correspond	correspond	VERB
ejpam-6506	241	22	to	to	ADP
ejpam-6506	241	23	stable	stable	ADJ
ejpam-6506	241	24	or	or	CCONJ
ejpam-6506	241	25	periodic	periodic	ADJ
ejpam-6506	241	26	dynamics	dynamic	NOUN
ejpam-6506	241	27	,	,	PUNCT
ejpam-6506	241	28	while	while	SCONJ
ejpam-6506	241	29	positive	positive	ADJ
ejpam-6506	241	30	values	value	NOUN
ejpam-6506	241	31	(	(	PUNCT
ejpam-6506	241	32	green	green	ADJ
ejpam-6506	241	33	–	–	PUNCT
ejpam-6506	241	34	blue	blue	ADJ
ejpam-6506	241	35	shades	shade	NOUN
ejpam-6506	241	36	)	)	PUNCT
ejpam-6506	241	37	indicate	indicate	VERB
ejpam-6506	241	38	chaotic	chaotic	ADJ
ejpam-6506	241	39	regimes	regime	NOUN
ejpam-6506	241	40	.	.	PUNCT
ejpam-6506	242	1	(	(	PUNCT
ejpam-6506	242	2	a	a	X
ejpam-6506	242	3	)	)	PUNCT
ejpam-6506	242	4	(	(	PUNCT
ejpam-6506	242	5	a	a	X
ejpam-6506	242	6	)	)	PUNCT
ejpam-6506	242	7	(	(	PUNCT
ejpam-6506	242	8	b	b	X
ejpam-6506	242	9	)	)	PUNCT
ejpam-6506	242	10	(	(	PUNCT
ejpam-6506	242	11	b	b	X
ejpam-6506	242	12	)	)	PUNCT
ejpam-6506	242	13	figure	figure	NOUN
ejpam-6506	242	14	5	5	NUM
ejpam-6506	242	15	:	:	PUNCT
ejpam-6506	242	16	kaplan	kaplan	PROPN
ejpam-6506	242	17	–	–	PUNCT
ejpam-6506	242	18	yorke	yorke	PROPN
ejpam-6506	242	19	dimension	dimension	PROPN
ejpam-6506	242	20	dky	dky	PROPN
ejpam-6506	242	21	for	for	ADP
ejpam-6506	242	22	the	the	DET
ejpam-6506	242	23	euler	euler	PROPN
ejpam-6506	242	24	discretization	discretization	NOUN
ejpam-6506	242	25	.	.	PUNCT
ejpam-6506	243	1	(	(	PUNCT
ejpam-6506	243	2	a	a	X
ejpam-6506	243	3	)	)	PUNCT
ejpam-6506	243	4	variation	variation	NOUN
ejpam-6506	243	5	in	in	ADP
ejpam-6506	243	6	dky	dky	NOUN
ejpam-6506	243	7	with	with	ADP
ejpam-6506	243	8	parameter	parameter	NOUN
ejpam-6506	243	9	a	a	PRON
ejpam-6506	243	10	at	at	ADP
ejpam-6506	243	11	a	a	DET
ejpam-6506	243	12	fixed	fixed	ADJ
ejpam-6506	243	13	h	h	NOUN
ejpam-6506	243	14	=	=	NOUN
ejpam-6506	243	15	0.01	0.01	NUM
ejpam-6506	243	16	.	.	PUNCT
ejpam-6506	244	1	(	(	PUNCT
ejpam-6506	244	2	b	b	X
ejpam-6506	244	3	)	)	PUNCT
ejpam-6506	244	4	variation	variation	NOUN
ejpam-6506	244	5	in	in	ADP
ejpam-6506	244	6	dky	dky	NOUN
ejpam-6506	244	7	with	with	ADP
ejpam-6506	244	8	step	step	NOUN
ejpam-6506	244	9	size	size	NOUN
ejpam-6506	244	10	h	h	NOUN
ejpam-6506	244	11	at	at	ADP
ejpam-6506	244	12	a	a	DET
ejpam-6506	244	13	fixed	fixed	ADJ
ejpam-6506	244	14	a	a	DET
ejpam-6506	244	15	=	=	SYM
ejpam-6506	244	16	1	1	NUM
ejpam-6506	244	17	.	.	PUNCT
ejpam-6506	244	18	stable	stable	ADJ
ejpam-6506	244	19	equilibria	equilibrium	NOUN
ejpam-6506	244	20	and	and	CCONJ
ejpam-6506	244	21	periodic	periodic	ADJ
ejpam-6506	244	22	orbits	orbit	NOUN
ejpam-6506	244	23	yield	yield	VERB
ejpam-6506	244	24	integer	integer	NOUN
ejpam-6506	244	25	dky	dky	NOUN
ejpam-6506	244	26	values	value	NOUN
ejpam-6506	244	27	,	,	PUNCT
ejpam-6506	244	28	while	while	SCONJ
ejpam-6506	244	29	chaotic	chaotic	ADJ
ejpam-6506	244	30	regimes	regime	NOUN
ejpam-6506	244	31	are	be	AUX
ejpam-6506	244	32	characterized	characterize	VERB
ejpam-6506	244	33	by	by	ADP
ejpam-6506	244	34	noninteger	noninteger	NOUN
ejpam-6506	244	35	dimensions	dimension	NOUN
ejpam-6506	244	36	typically	typically	ADV
ejpam-6506	244	37	between	between	ADP
ejpam-6506	244	38	1	1	NUM
ejpam-6506	244	39	and	and	CCONJ
ejpam-6506	244	40	3	3	NUM
ejpam-6506	244	41	.	.	NOUN
ejpam-6506	244	42	phase	phase	NOUN
ejpam-6506	244	43	portraits	portrait	NOUN
ejpam-6506	244	44	guided	guide	VERB
ejpam-6506	244	45	by	by	ADP
ejpam-6506	244	46	bifurcation	bifurcation	NOUN
ejpam-6506	244	47	analysis	analysis	NOUN
ejpam-6506	244	48	,	,	PUNCT
ejpam-6506	244	49	we	we	PRON
ejpam-6506	244	50	illustrate	illustrate	VERB
ejpam-6506	244	51	the	the	DET
ejpam-6506	244	52	representative	representative	ADJ
ejpam-6506	244	53	trajectories	trajectory	NOUN
ejpam-6506	244	54	.	.	PUNCT
ejpam-6506	245	1	the	the	DET
ejpam-6506	245	2	phase	phase	NOUN
ejpam-6506	245	3	portraits	portrait	NOUN
ejpam-6506	245	4	were	be	AUX
ejpam-6506	245	5	generated	generate	VERB
ejpam-6506	245	6	by	by	ADP
ejpam-6506	245	7	iterating	iterate	VERB
ejpam-6506	245	8	the	the	DET
ejpam-6506	245	9	system	system	NOUN
ejpam-6506	245	10	(	(	PUNCT
ejpam-6506	245	11	2	2	NUM
ejpam-6506	245	12	)	)	PUNCT
ejpam-6506	245	13	with	with	ADP
ejpam-6506	245	14	step	step	NOUN
ejpam-6506	245	15	size	size	NOUN
ejpam-6506	245	16	h	h	NOUN
ejpam-6506	245	17	=	=	NOUN
ejpam-6506	245	18	0.01	0.01	NUM
ejpam-6506	245	19	for	for	ADP
ejpam-6506	245	20	60,000	60,000	NUM
ejpam-6506	245	21	steps	step	NOUN
ejpam-6506	245	22	,	,	PUNCT
ejpam-6506	245	23	starting	start	VERB
ejpam-6506	245	24	from	from	ADP
ejpam-6506	245	25	the	the	DET
ejpam-6506	245	26	initial	initial	ADJ
ejpam-6506	245	27	condition	condition	NOUN
ejpam-6506	245	28	(	(	PUNCT
ejpam-6506	245	29	x0	x0	PROPN
ejpam-6506	245	30	,	,	PUNCT
ejpam-6506	245	31	y0	y0	PROPN
ejpam-6506	245	32	,	,	PUNCT
ejpam-6506	245	33	z0	z0	PROPN
ejpam-6506	245	34	)	)	PUNCT
ejpam-6506	245	35	=	=	PUNCT
ejpam-6506	245	36	(	(	PUNCT
ejpam-6506	245	37	0	0	NUM
ejpam-6506	245	38	,	,	PUNCT
ejpam-6506	245	39	1.6	1.6	NUM
ejpam-6506	245	40	,	,	PUNCT
ejpam-6506	245	41	3	3	NUM
ejpam-6506	245	42	)	)	PUNCT
ejpam-6506	245	43	.	.	PUNCT
ejpam-6506	246	1	only	only	ADV
ejpam-6506	246	2	m.	m.	PROPN
ejpam-6506	246	3	f.	f.	PROPN
ejpam-6506	246	4	ansori	ansori	PROPN
ejpam-6506	246	5	et	et	PROPN
ejpam-6506	246	6	al	al	PROPN
ejpam-6506	246	7	.	.	PUNCT
ejpam-6506	246	8	/	/	SYM
ejpam-6506	246	9	eur	eur	PROPN
ejpam-6506	246	10	.	.	PUNCT
ejpam-6506	247	1	j.	j.	PROPN
ejpam-6506	247	2	pure	pure	PROPN
ejpam-6506	247	3	appl	appl	PROPN
ejpam-6506	247	4	.	.	PROPN
ejpam-6506	247	5	math	math	PROPN
ejpam-6506	247	6	,	,	PUNCT
ejpam-6506	247	7	18	18	NUM
ejpam-6506	247	8	(	(	PUNCT
ejpam-6506	247	9	4	4	NUM
ejpam-6506	247	10	)	)	PUNCT
ejpam-6506	247	11	(	(	PUNCT
ejpam-6506	247	12	2025	2025	NUM
ejpam-6506	247	13	)	)	PUNCT
ejpam-6506	247	14	,	,	PUNCT
ejpam-6506	247	15	6506	6506	NUM
ejpam-6506	247	16	12	12	NUM
ejpam-6506	247	17	of	of	ADP
ejpam-6506	247	18	27	27	NUM
ejpam-6506	247	19	the	the	DET
ejpam-6506	247	20	last	last	ADJ
ejpam-6506	247	21	5,000	5,000	NUM
ejpam-6506	247	22	points	point	NOUN
ejpam-6506	247	23	were	be	AUX
ejpam-6506	247	24	plotted	plot	VERB
ejpam-6506	247	25	to	to	PART
ejpam-6506	247	26	remove	remove	VERB
ejpam-6506	247	27	the	the	DET
ejpam-6506	247	28	transients	transient	NOUN
ejpam-6506	247	29	.	.	PUNCT
ejpam-6506	248	1	for	for	ADP
ejpam-6506	248	2	a	a	DET
ejpam-6506	248	3	=	=	ADJ
ejpam-6506	248	4	−2	−2	NOUN
ejpam-6506	248	5	,	,	PUNCT
ejpam-6506	248	6	the	the	DET
ejpam-6506	248	7	system	system	NOUN
ejpam-6506	248	8	converges	converge	VERB
ejpam-6506	248	9	to	to	ADP
ejpam-6506	248	10	a	a	DET
ejpam-6506	248	11	stable	stable	ADJ
ejpam-6506	248	12	equilibrium	equilibrium	NOUN
ejpam-6506	248	13	,	,	PUNCT
ejpam-6506	248	14	whereas	whereas	SCONJ
ejpam-6506	248	15	for	for	ADP
ejpam-6506	248	16	a	a	DET
ejpam-6506	248	17	=	=	SYM
ejpam-6506	248	18	1	1	NUM
ejpam-6506	248	19	it	it	PRON
ejpam-6506	248	20	exhibits	exhibit	VERB
ejpam-6506	248	21	a	a	DET
ejpam-6506	248	22	strange	strange	ADJ
ejpam-6506	248	23	attractor	attractor	NOUN
ejpam-6506	248	24	,	,	PUNCT
ejpam-6506	248	25	consistent	consistent	ADJ
ejpam-6506	248	26	with	with	ADP
ejpam-6506	248	27	previous	previous	ADJ
ejpam-6506	248	28	studies	study	NOUN
ejpam-6506	248	29	[	[	X
ejpam-6506	248	30	14	14	NUM
ejpam-6506	248	31	,	,	PUNCT
ejpam-6506	248	32	37–39	37–39	NUM
ejpam-6506	248	33	]	]	PUNCT
ejpam-6506	248	34	.	.	PUNCT
ejpam-6506	249	1	representative	representative	ADJ
ejpam-6506	249	2	trajectories	trajectory	NOUN
ejpam-6506	249	3	are	be	AUX
ejpam-6506	249	4	illustrated	illustrate	VERB
ejpam-6506	249	5	in	in	ADP
ejpam-6506	249	6	figure	figure	NOUN
ejpam-6506	249	7	6	6	NUM
ejpam-6506	249	8	,	,	PUNCT
ejpam-6506	249	9	where	where	SCONJ
ejpam-6506	249	10	both	both	CCONJ
ejpam-6506	249	11	stable	stable	ADJ
ejpam-6506	249	12	and	and	CCONJ
ejpam-6506	249	13	chaotic	chaotic	ADJ
ejpam-6506	249	14	behaviors	behavior	NOUN
ejpam-6506	249	15	are	be	AUX
ejpam-6506	249	16	clearly	clearly	ADV
ejpam-6506	249	17	distinguished	distinguish	VERB
ejpam-6506	249	18	.	.	PUNCT
ejpam-6506	250	1	the	the	DET
ejpam-6506	250	2	chaotic	chaotic	ADJ
ejpam-6506	250	3	attractor	attractor	NOUN
ejpam-6506	250	4	displays	display	VERB
ejpam-6506	250	5	a	a	DET
ejpam-6506	250	6	folded	fold	VERB
ejpam-6506	250	7	-	-	PUNCT
ejpam-6506	250	8	band	band	NOUN
ejpam-6506	250	9	structure	structure	NOUN
ejpam-6506	250	10	characteristic	characteristic	NOUN
ejpam-6506	250	11	of	of	ADP
ejpam-6506	250	12	quasiperiodic	quasiperiodic	ADJ
ejpam-6506	250	13	breakdown	breakdown	NOUN
ejpam-6506	250	14	.	.	PUNCT
ejpam-6506	251	1	(	(	PUNCT
ejpam-6506	251	2	a	a	X
ejpam-6506	251	3	)	)	PUNCT
ejpam-6506	251	4	(	(	PUNCT
ejpam-6506	251	5	b	b	X
ejpam-6506	251	6	)	)	PUNCT
ejpam-6506	251	7	(	(	PUNCT
ejpam-6506	251	8	c	c	X
ejpam-6506	251	9	)	)	PUNCT
ejpam-6506	251	10	(	(	PUNCT
ejpam-6506	251	11	d	d	X
ejpam-6506	251	12	)	)	PUNCT
ejpam-6506	251	13	figure	figure	NOUN
ejpam-6506	251	14	6	6	NUM
ejpam-6506	251	15	:	:	PUNCT
ejpam-6506	251	16	phase	phase	NOUN
ejpam-6506	251	17	portraits	portrait	NOUN
ejpam-6506	251	18	of	of	ADP
ejpam-6506	251	19	system	system	NOUN
ejpam-6506	251	20	(	(	PUNCT
ejpam-6506	251	21	2	2	NUM
ejpam-6506	251	22	)	)	PUNCT
ejpam-6506	251	23	with	with	ADP
ejpam-6506	251	24	h	h	NOUN
ejpam-6506	251	25	=	=	NOUN
ejpam-6506	251	26	0.01	0.01	NUM
ejpam-6506	251	27	and	and	CCONJ
ejpam-6506	251	28	initial	initial	ADJ
ejpam-6506	251	29	condition	condition	NOUN
ejpam-6506	251	30	(	(	PUNCT
ejpam-6506	251	31	0	0	NUM
ejpam-6506	251	32	,	,	PUNCT
ejpam-6506	251	33	1.6	1.6	NUM
ejpam-6506	251	34	,	,	PUNCT
ejpam-6506	251	35	3	3	NUM
ejpam-6506	251	36	)	)	PUNCT
ejpam-6506	251	37	.	.	PUNCT
ejpam-6506	252	1	panels	panel	NOUN
ejpam-6506	252	2	(	(	PUNCT
ejpam-6506	252	3	a)–(b	a)–(b	X
ejpam-6506	252	4	):	):	PUNCT
ejpam-6506	252	5	parameter	parameter	NOUN
ejpam-6506	252	6	a	a	DET
ejpam-6506	252	7	=	=	ADJ
ejpam-6506	252	8	−2	−2	NOUN
ejpam-6506	252	9	,	,	PUNCT
ejpam-6506	252	10	the	the	DET
ejpam-6506	252	11	trajectory	trajectory	NOUN
ejpam-6506	252	12	converging	converge	VERB
ejpam-6506	252	13	to	to	ADP
ejpam-6506	252	14	the	the	DET
ejpam-6506	252	15	stable	stable	ADJ
ejpam-6506	252	16	equilibrium	equilibrium	NOUN
ejpam-6506	252	17	e∗	e∗	NOUN
ejpam-6506	252	18	1	1	NUM
ejpam-6506	252	19	(	(	PUNCT
ejpam-6506	252	20	red	red	ADJ
ejpam-6506	252	21	point	point	NOUN
ejpam-6506	252	22	)	)	PUNCT
ejpam-6506	252	23	,	,	PUNCT
ejpam-6506	252	24	and	and	CCONJ
ejpam-6506	252	25	e∗	e∗	PROPN
ejpam-6506	252	26	2	2	NUM
ejpam-6506	252	27	(	(	PUNCT
ejpam-6506	252	28	blue	blue	ADJ
ejpam-6506	252	29	point	point	NOUN
ejpam-6506	252	30	)	)	PUNCT
ejpam-6506	252	31	remain	remain	VERB
ejpam-6506	252	32	unstable	unstable	ADJ
ejpam-6506	252	33	.	.	PUNCT
ejpam-6506	253	1	panels	panel	NOUN
ejpam-6506	253	2	(	(	PUNCT
ejpam-6506	253	3	c)–(d	c)–(d	NOUN
ejpam-6506	253	4	):	):	PUNCT
ejpam-6506	253	5	parameter	parameter	NOUN
ejpam-6506	253	6	a	a	DET
ejpam-6506	253	7	=	=	NOUN
ejpam-6506	253	8	1	1	NUM
ejpam-6506	253	9	,	,	PUNCT
ejpam-6506	253	10	showing	show	VERB
ejpam-6506	253	11	a	a	DET
ejpam-6506	253	12	chaotic	chaotic	ADJ
ejpam-6506	253	13	attractor	attractor	NOUN
ejpam-6506	253	14	with	with	ADP
ejpam-6506	253	15	a	a	DET
ejpam-6506	253	16	folded	fold	VERB
ejpam-6506	253	17	-	-	PUNCT
ejpam-6506	253	18	band	band	NOUN
ejpam-6506	253	19	geometry	geometry	NOUN
ejpam-6506	253	20	.	.	PUNCT
ejpam-6506	254	1	each	each	DET
ejpam-6506	254	2	plot	plot	NOUN
ejpam-6506	254	3	was	be	AUX
ejpam-6506	254	4	based	base	VERB
ejpam-6506	254	5	on	on	ADP
ejpam-6506	254	6	40,000	40,000	NUM
ejpam-6506	254	7	iterations	iteration	NOUN
ejpam-6506	254	8	,	,	PUNCT
ejpam-6506	254	9	and	and	CCONJ
ejpam-6506	254	10	the	the	DET
ejpam-6506	254	11	first	first	ADJ
ejpam-6506	254	12	35,000	35,000	NUM
ejpam-6506	254	13	transients	transient	NOUN
ejpam-6506	254	14	were	be	AUX
ejpam-6506	254	15	discarded	discard	VERB
ejpam-6506	254	16	.	.	PUNCT
ejpam-6506	255	1	panels	panel	NOUN
ejpam-6506	255	2	(	(	PUNCT
ejpam-6506	255	3	a	a	X
ejpam-6506	255	4	)	)	PUNCT
ejpam-6506	255	5	and	and	CCONJ
ejpam-6506	255	6	(	(	PUNCT
ejpam-6506	255	7	c	c	NOUN
ejpam-6506	255	8	)	)	PUNCT
ejpam-6506	255	9	display	display	VERB
ejpam-6506	255	10	the	the	DET
ejpam-6506	255	11	three	three	NUM
ejpam-6506	255	12	-	-	PUNCT
ejpam-6506	255	13	dimensional	dimensional	ADJ
ejpam-6506	255	14	trajectories	trajectory	NOUN
ejpam-6506	255	15	,	,	PUNCT
ejpam-6506	255	16	whereas	whereas	SCONJ
ejpam-6506	255	17	panels	panel	NOUN
ejpam-6506	255	18	(	(	PUNCT
ejpam-6506	255	19	b	b	NOUN
ejpam-6506	255	20	)	)	PUNCT
ejpam-6506	255	21	and	and	CCONJ
ejpam-6506	255	22	(	(	PUNCT
ejpam-6506	255	23	d	d	X
ejpam-6506	255	24	)	)	PUNCT
ejpam-6506	255	25	show	show	VERB
ejpam-6506	255	26	the	the	DET
ejpam-6506	255	27	(	(	PUNCT
ejpam-6506	255	28	x	x	PROPN
ejpam-6506	255	29	,	,	PUNCT
ejpam-6506	255	30	y	y	NOUN
ejpam-6506	255	31	)	)	PUNCT
ejpam-6506	255	32	projections	projection	NOUN
ejpam-6506	255	33	.	.	PUNCT
ejpam-6506	256	1	m.	m.	PROPN
ejpam-6506	256	2	f.	f.	PROPN
ejpam-6506	256	3	ansori	ansori	PROPN
ejpam-6506	256	4	et	et	PROPN
ejpam-6506	256	5	al	al	PROPN
ejpam-6506	256	6	.	.	PUNCT
ejpam-6506	256	7	/	/	SYM
ejpam-6506	256	8	eur	eur	PROPN
ejpam-6506	256	9	.	.	PUNCT
ejpam-6506	257	1	j.	j.	PROPN
ejpam-6506	257	2	pure	pure	PROPN
ejpam-6506	257	3	appl	appl	PROPN
ejpam-6506	257	4	.	.	PROPN
ejpam-6506	257	5	math	math	PROPN
ejpam-6506	257	6	,	,	PUNCT
ejpam-6506	257	7	18	18	NUM
ejpam-6506	257	8	(	(	PUNCT
ejpam-6506	257	9	4	4	NUM
ejpam-6506	257	10	)	)	PUNCT
ejpam-6506	257	11	(	(	PUNCT
ejpam-6506	257	12	2025	2025	NUM
ejpam-6506	257	13	)	)	PUNCT
ejpam-6506	257	14	,	,	PUNCT
ejpam-6506	257	15	6506	6506	NUM
ejpam-6506	257	16	13	13	NUM
ejpam-6506	257	17	of	of	ADP
ejpam-6506	257	18	27	27	NUM
ejpam-6506	257	19	3	3	NUM
ejpam-6506	257	20	.	.	PUNCT
ejpam-6506	257	21	discrete	discrete	ADJ
ejpam-6506	257	22	-	-	PUNCT
ejpam-6506	257	23	time	time	NOUN
ejpam-6506	257	24	system	system	NOUN
ejpam-6506	257	25	via	via	ADP
ejpam-6506	257	26	nonstandard	nonstandard	ADJ
ejpam-6506	257	27	mickens	micken	NOUN
ejpam-6506	257	28	scheme	scheme	NOUN
ejpam-6506	257	29	we	we	PRON
ejpam-6506	257	30	follow	follow	VERB
ejpam-6506	257	31	one	one	NUM
ejpam-6506	257	32	of	of	ADP
ejpam-6506	257	33	the	the	DET
ejpam-6506	257	34	nonstandard	nonstandard	ADJ
ejpam-6506	257	35	difference	difference	NOUN
ejpam-6506	257	36	schemes	scheme	NOUN
ejpam-6506	257	37	proposed	propose	VERB
ejpam-6506	257	38	by	by	ADP
ejpam-6506	257	39	mickens	micken	NOUN
ejpam-6506	257	40	[	[	X
ejpam-6506	257	41	32	32	NUM
ejpam-6506	257	42	]	]	PUNCT
ejpam-6506	257	43	where	where	SCONJ
ejpam-6506	257	44	the	the	DET
ejpam-6506	257	45	term	term	NOUN
ejpam-6506	257	46	on	on	ADP
ejpam-6506	257	47	the	the	DET
ejpam-6506	257	48	right	right	ADJ
ejpam-6506	257	49	-	-	PUNCT
ejpam-6506	257	50	hand	hand	NOUN
ejpam-6506	257	51	side	side	NOUN
ejpam-6506	257	52	,	,	PUNCT
ejpam-6506	257	53	which	which	PRON
ejpam-6506	257	54	consists	consist	VERB
ejpam-6506	257	55	of	of	ADP
ejpam-6506	257	56	the	the	DET
ejpam-6506	257	57	same	same	ADJ
ejpam-6506	257	58	variable	variable	NOUN
ejpam-6506	257	59	on	on	ADP
ejpam-6506	257	60	the	the	DET
ejpam-6506	257	61	left	left	ADJ
ejpam-6506	257	62	-	-	PUNCT
ejpam-6506	257	63	hand	hand	NOUN
ejpam-6506	257	64	side	side	NOUN
ejpam-6506	257	65	with	with	ADP
ejpam-6506	257	66	a	a	DET
ejpam-6506	257	67	negative	negative	ADJ
ejpam-6506	257	68	coefficient	coefficient	NOUN
ejpam-6506	257	69	,	,	PUNCT
ejpam-6506	257	70	is	be	AUX
ejpam-6506	257	71	replaced	replace	VERB
ejpam-6506	257	72	by	by	ADP
ejpam-6506	257	73	−1.8xtzt	−1.8xtzt	X
ejpam-6506	258	1	=	=	PUNCT
ejpam-6506	258	2	−1.8xtzt+1	−1.8xtzt+1	PROPN
ejpam-6506	258	3	.	.	PUNCT
ejpam-6506	259	1	this	this	DET
ejpam-6506	259	2	modification	modification	NOUN
ejpam-6506	259	3	follows	follow	VERB
ejpam-6506	259	4	mickens	micken	NOUN
ejpam-6506	259	5	’	’	PART
ejpam-6506	259	6	principle	principle	NOUN
ejpam-6506	259	7	of	of	ADP
ejpam-6506	259	8	nonlocal	nonlocal	ADJ
ejpam-6506	259	9	approximations	approximation	NOUN
ejpam-6506	259	10	,	,	PUNCT
ejpam-6506	259	11	in	in	ADP
ejpam-6506	259	12	which	which	PRON
ejpam-6506	259	13	nonlinear	nonlinear	ADJ
ejpam-6506	259	14	terms	term	NOUN
ejpam-6506	259	15	are	be	AUX
ejpam-6506	259	16	discretized	discretize	VERB
ejpam-6506	259	17	asymmetrically	asymmetrically	ADV
ejpam-6506	259	18	to	to	PART
ejpam-6506	259	19	better	well	ADV
ejpam-6506	259	20	preserve	preserve	VERB
ejpam-6506	259	21	the	the	DET
ejpam-6506	259	22	dynamics	dynamic	NOUN
ejpam-6506	259	23	of	of	ADP
ejpam-6506	259	24	the	the	DET
ejpam-6506	259	25	continuous	continuous	ADJ
ejpam-6506	259	26	system	system	NOUN
ejpam-6506	259	27	.	.	PUNCT
ejpam-6506	260	1	therefore	therefore	ADV
ejpam-6506	260	2	,	,	PUNCT
ejpam-6506	260	3	we	we	PRON
ejpam-6506	260	4	have	have	VERB
ejpam-6506	260	5	a	a	DET
ejpam-6506	260	6	new	new	ADJ
ejpam-6506	260	7	system	system	NOUN
ejpam-6506	260	8	as	as	ADP
ejpam-6506	260	9	follows	follows	PROPN
ejpam-6506	260	10	xt+1	xt+1	X
ejpam-6506	261	1	=	=	SYM
ejpam-6506	261	2	xt	xt	PROPN
ejpam-6506	262	1	+	+	CCONJ
ejpam-6506	262	2	hyt	hyt	PROPN
ejpam-6506	262	3	yt+1	yt+1	PROPN
ejpam-6506	262	4	=	=	PUNCT
ejpam-6506	262	5	yt	yt	PROPN
ejpam-6506	262	6	+	+	CCONJ
ejpam-6506	262	7	h(−xt	h(−xt	PROPN
ejpam-6506	262	8	+	+	CCONJ
ejpam-6506	262	9	zt	zt	PROPN
ejpam-6506	262	10	)	)	PUNCT
ejpam-6506	262	11	zt+1	zt+1	X
ejpam-6506	263	1	=	=	PUNCT
ejpam-6506	264	1	[	[	X
ejpam-6506	264	2	zt	zt	X
ejpam-6506	264	3	+	+	NUM
ejpam-6506	264	4	h(zt	h(zt	PROPN
ejpam-6506	264	5	−	−	NUM
ejpam-6506	264	6	2xtyt	2xtyt	NUM
ejpam-6506	264	7	−	−	NOUN
ejpam-6506	264	8	a)]/[1	a)]/[1	NOUN
ejpam-6506	264	9	+	+	NUM
ejpam-6506	264	10	1.8hxt	1.8hxt	NUM
ejpam-6506	264	11	]	]	PUNCT
ejpam-6506	264	12	.	.	PUNCT
ejpam-6506	265	1	(	(	PUNCT
ejpam-6506	265	2	9	9	NUM
ejpam-6506	265	3	)	)	PUNCT
ejpam-6506	265	4	3.1	3.1	NUM
ejpam-6506	265	5	.	.	PUNCT
ejpam-6506	266	1	equilibrium	equilibrium	NOUN
ejpam-6506	266	2	and	and	CCONJ
ejpam-6506	266	3	stability	stability	NOUN
ejpam-6506	266	4	criteria	criterion	NOUN
ejpam-6506	266	5	it	it	PRON
ejpam-6506	266	6	is	be	AUX
ejpam-6506	266	7	easy	easy	ADJ
ejpam-6506	266	8	to	to	PART
ejpam-6506	266	9	verify	verify	VERB
ejpam-6506	266	10	that	that	SCONJ
ejpam-6506	266	11	the	the	DET
ejpam-6506	266	12	nonstandard	nonstandard	ADJ
ejpam-6506	266	13	system	system	NOUN
ejpam-6506	266	14	(	(	PUNCT
ejpam-6506	266	15	9	9	NUM
ejpam-6506	266	16	)	)	PUNCT
ejpam-6506	266	17	has	have	VERB
ejpam-6506	266	18	the	the	DET
ejpam-6506	266	19	same	same	ADJ
ejpam-6506	266	20	equilibrium	equilibrium	NOUN
ejpam-6506	266	21	points	point	NOUN
ejpam-6506	266	22	as	as	ADP
ejpam-6506	266	23	the	the	DET
ejpam-6506	266	24	system	system	NOUN
ejpam-6506	266	25	(	(	PUNCT
ejpam-6506	266	26	2	2	NUM
ejpam-6506	266	27	)	)	PUNCT
ejpam-6506	266	28	.	.	PUNCT
ejpam-6506	267	1	the	the	DET
ejpam-6506	267	2	jacobian	jacobian	ADJ
ejpam-6506	267	3	matrix	matrix	NOUN
ejpam-6506	267	4	of	of	ADP
ejpam-6506	267	5	nonstandard	nonstandard	ADJ
ejpam-6506	267	6	system	system	NOUN
ejpam-6506	267	7	(	(	PUNCT
ejpam-6506	267	8	9	9	X
ejpam-6506	267	9	)	)	PUNCT
ejpam-6506	267	10	evaluated	evaluate	VERB
ejpam-6506	267	11	at	at	ADP
ejpam-6506	267	12	any	any	DET
ejpam-6506	267	13	point	point	NOUN
ejpam-6506	267	14	e	e	NOUN
ejpam-6506	267	15	=	=	SYM
ejpam-6506	267	16	(	(	PUNCT
ejpam-6506	267	17	x	x	X
ejpam-6506	267	18	,	,	PUNCT
ejpam-6506	267	19	0	0	NUM
ejpam-6506	267	20	,	,	PUNCT
ejpam-6506	267	21	x	x	X
ejpam-6506	267	22	)	)	PUNCT
ejpam-6506	267	23	∈	∈	PROPN
ejpam-6506	267	24	r3	r3	PROPN
ejpam-6506	267	25	is	be	AUX
ejpam-6506	267	26	jns(e	jns(e	PROPN
ejpam-6506	267	27	)	)	PUNCT
ejpam-6506	268	1	=	=	NOUN
ejpam-6506	268	2			NUM
ejpam-6506	268	3	1	1	NUM
ejpam-6506	268	4	h	h	NOUN
ejpam-6506	268	5	0	0	PUNCT
ejpam-6506	269	1	−h	−h	ADJ
ejpam-6506	269	2	1	1	NUM
ejpam-6506	269	3	h	h	NOUN
ejpam-6506	269	4	1.8h((a−x)h−x	1.8h((a−x)h−x	NUM
ejpam-6506	269	5	)	)	PUNCT
ejpam-6506	269	6	(	(	PUNCT
ejpam-6506	269	7	1.8hx+1)2	1.8hx+1)2	NUM
ejpam-6506	269	8	−	−	NUM
ejpam-6506	269	9	2hx	2hx	NOUN
ejpam-6506	269	10	1.8hx+1	1.8hx+1	NUM
ejpam-6506	269	11	1+h	1+h	NUM
ejpam-6506	269	12	1.8hx+1	1.8hx+1	NUM
ejpam-6506	269	13			NUM
ejpam-6506	269	14	(	(	PUNCT
ejpam-6506	269	15	10	10	NUM
ejpam-6506	269	16	)	)	PUNCT
ejpam-6506	269	17	the	the	DET
ejpam-6506	269	18	characteristic	characteristic	ADJ
ejpam-6506	269	19	polynomial	polynomial	NOUN
ejpam-6506	269	20	of	of	ADP
ejpam-6506	269	21	(	(	PUNCT
ejpam-6506	269	22	10	10	NUM
ejpam-6506	269	23	)	)	PUNCT
ejpam-6506	269	24	is	be	AUX
ejpam-6506	269	25	pns(λ	pns(λ	PROPN
ejpam-6506	269	26	)	)	PUNCT
ejpam-6506	269	27	=	=	SYM
ejpam-6506	270	1	λ3	λ3	PROPN
ejpam-6506	270	2	+	+	CCONJ
ejpam-6506	270	3	b1λ	b1λ	PROPN
ejpam-6506	270	4	2	2	NUM
ejpam-6506	271	1	+	+	CCONJ
ejpam-6506	271	2	b2λ+	b2λ+	DET
ejpam-6506	271	3	b3	b3	PROPN
ejpam-6506	271	4	where	where	SCONJ
ejpam-6506	271	5	b1	b1	NOUN
ejpam-6506	271	6	=	=	PUNCT
ejpam-6506	271	7	−3.6hx+	−3.6hx+	X
ejpam-6506	271	8	h+	h+	PUNCT
ejpam-6506	271	9	3	3	NUM
ejpam-6506	271	10	1.8hx+	1.8hx+	NUM
ejpam-6506	271	11	1	1	NUM
ejpam-6506	271	12	b2	b2	NOUN
ejpam-6506	271	13	=	=	SYM
ejpam-6506	272	1	1.8h3x+	1.8h3x+	NUM
ejpam-6506	272	2	2hx2	2hx2	NUM
ejpam-6506	273	1	+	+	CCONJ
ejpam-6506	273	2	h2	h2	NOUN
ejpam-6506	273	3	+	+	CCONJ
ejpam-6506	273	4	1.8hx+	1.8hx+	NUM
ejpam-6506	273	5	2h+	2h+	NUM
ejpam-6506	273	6	3	3	NUM
ejpam-6506	273	7	1.8hx+	1.8hx+	NUM
ejpam-6506	273	8	1	1	NUM
ejpam-6506	273	9	b3	b3	NOUN
ejpam-6506	273	10	=	=	SYM
ejpam-6506	273	11	−1−	−1−	PROPN
ejpam-6506	273	12	1.8a	1.8a	NUM
ejpam-6506	273	13	h4	h4	PROPN
ejpam-6506	273	14	+	+	CCONJ
ejpam-6506	273	15	(	(	PUNCT
ejpam-6506	273	16	−3.6x2	−3.6x2	PUNCT
ejpam-6506	273	17	−	−	NOUN
ejpam-6506	273	18	1	1	X
ejpam-6506	273	19	)	)	PUNCT
ejpam-6506	273	20	h3	h3	NOUN
ejpam-6506	273	21	+	+	X
ejpam-6506	273	22	(	(	PUNCT
ejpam-6506	273	23	−1−	−1−	NOUN
ejpam-6506	273	24	3.8x)h2	3.8x)h2	NUM
ejpam-6506	273	25	+	+	CCONJ
ejpam-6506	273	26	(	(	PUNCT
ejpam-6506	273	27	−1−	−1−	PROPN
ejpam-6506	273	28	1.8x)h	1.8x)h	NUM
ejpam-6506	273	29	(	(	PUNCT
ejpam-6506	273	30	1	1	NUM
ejpam-6506	273	31	+	+	NUM
ejpam-6506	273	32	1.8hx)2	1.8hx)2	NOUN
ejpam-6506	273	33	compared	compare	VERB
ejpam-6506	273	34	with	with	ADP
ejpam-6506	273	35	the	the	DET
ejpam-6506	273	36	standard	standard	PROPN
ejpam-6506	273	37	euler	euler	PROPN
ejpam-6506	273	38	scheme	scheme	NOUN
ejpam-6506	273	39	,	,	PUNCT
ejpam-6506	273	40	the	the	DET
ejpam-6506	273	41	coefficients	coefficient	NOUN
ejpam-6506	273	42	of	of	ADP
ejpam-6506	273	43	the	the	DET
ejpam-6506	273	44	characteristic	characteristic	ADJ
ejpam-6506	273	45	polynomial	polynomial	NOUN
ejpam-6506	273	46	are	be	AUX
ejpam-6506	273	47	more	more	ADV
ejpam-6506	273	48	complicated	complicated	ADJ
ejpam-6506	273	49	owing	owe	VERB
ejpam-6506	273	50	to	to	ADP
ejpam-6506	273	51	the	the	DET
ejpam-6506	273	52	rational	rational	ADJ
ejpam-6506	273	53	dependence	dependence	NOUN
ejpam-6506	273	54	on	on	ADP
ejpam-6506	273	55	both	both	DET
ejpam-6506	273	56	h	h	NOUN
ejpam-6506	273	57	and	and	CCONJ
ejpam-6506	273	58	x	x	AUX
ejpam-6506	273	59	introduced	introduce	VERB
ejpam-6506	273	60	by	by	ADP
ejpam-6506	273	61	the	the	DET
ejpam-6506	273	62	nonstandard	nonstandard	ADJ
ejpam-6506	273	63	denominator	denominator	NOUN
ejpam-6506	273	64	.	.	PUNCT
ejpam-6506	274	1	based	base	VERB
ejpam-6506	274	2	on	on	ADP
ejpam-6506	274	3	the	the	DET
ejpam-6506	274	4	first	first	ADJ
ejpam-6506	274	5	jury	jury	NOUN
ejpam-6506	274	6	’s	’s	PART
ejpam-6506	274	7	condition	condition	NOUN
ejpam-6506	274	8	in	in	ADP
ejpam-6506	274	9	(	(	PUNCT
ejpam-6506	274	10	5	5	NUM
ejpam-6506	274	11	)	)	PUNCT
ejpam-6506	274	12	,	,	PUNCT
ejpam-6506	274	13	we	we	PRON
ejpam-6506	274	14	have	have	VERB
ejpam-6506	274	15	1	1	NUM
ejpam-6506	274	16	+	+	NUM
ejpam-6506	274	17	b1	b1	NOUN
ejpam-6506	274	18	+	+	CCONJ
ejpam-6506	274	19	b2	b2	NOUN
ejpam-6506	274	20	+	+	CCONJ
ejpam-6506	274	21	b3	b3	NOUN
ejpam-6506	274	22	=	=	SYM
ejpam-6506	274	23	(	(	PUNCT
ejpam-6506	274	24	16.2hx2	16.2hx2	NOUN
ejpam-6506	274	25	+	+	CCONJ
ejpam-6506	274	26	18x+	18x+	NUM
ejpam-6506	274	27	9a	9a	NOUN
ejpam-6506	274	28	)	)	PUNCT
ejpam-6506	274	29	h3	h3	NOUN
ejpam-6506	274	30	(	(	PUNCT
ejpam-6506	274	31	1	1	NUM
ejpam-6506	275	1	+	+	NUM
ejpam-6506	275	2	1.8hx)2	1.8hx)2	NOUN
ejpam-6506	275	3	>	>	SYM
ejpam-6506	275	4	0	0	NUM
ejpam-6506	275	5	⇒	⇒	NOUN
ejpam-6506	275	6	(	(	PUNCT
ejpam-6506	275	7	16.2hx2	16.2hx2	NUM
ejpam-6506	275	8	+	+	CCONJ
ejpam-6506	275	9	18x+	18x+	NUM
ejpam-6506	275	10	9a	9a	NOUN
ejpam-6506	275	11	)	)	PUNCT
ejpam-6506	275	12	>	>	X
ejpam-6506	275	13	0	0	NUM
ejpam-6506	275	14	,	,	PUNCT
ejpam-6506	275	15	(	(	PUNCT
ejpam-6506	275	16	11	11	NUM
ejpam-6506	275	17	)	)	PUNCT
ejpam-6506	275	18	m.	m.	NOUN
ejpam-6506	275	19	f.	f.	PROPN
ejpam-6506	275	20	ansori	ansori	PROPN
ejpam-6506	275	21	et	et	PROPN
ejpam-6506	275	22	al	al	PROPN
ejpam-6506	275	23	.	.	PUNCT
ejpam-6506	275	24	/	/	SYM
ejpam-6506	275	25	eur	eur	PROPN
ejpam-6506	275	26	.	.	PUNCT
ejpam-6506	276	1	j.	j.	PROPN
ejpam-6506	276	2	pure	pure	PROPN
ejpam-6506	276	3	appl	appl	PROPN
ejpam-6506	276	4	.	.	PROPN
ejpam-6506	276	5	math	math	PROPN
ejpam-6506	276	6	,	,	PUNCT
ejpam-6506	276	7	18	18	NUM
ejpam-6506	276	8	(	(	PUNCT
ejpam-6506	276	9	4	4	NUM
ejpam-6506	276	10	)	)	PUNCT
ejpam-6506	276	11	(	(	PUNCT
ejpam-6506	276	12	2025	2025	NUM
ejpam-6506	276	13	)	)	PUNCT
ejpam-6506	276	14	,	,	PUNCT
ejpam-6506	276	15	6506	6506	NUM
ejpam-6506	276	16	14	14	NUM
ejpam-6506	276	17	of	of	ADP
ejpam-6506	276	18	27	27	NUM
ejpam-6506	276	19	note	note	NOUN
ejpam-6506	276	20	that	that	SCONJ
ejpam-6506	276	21	equation	equation	NOUN
ejpam-6506	276	22	(	(	PUNCT
ejpam-6506	276	23	11	11	NUM
ejpam-6506	276	24	)	)	PUNCT
ejpam-6506	276	25	is	be	AUX
ejpam-6506	276	26	quadratic	quadratic	ADJ
ejpam-6506	276	27	concerning	concern	VERB
ejpam-6506	276	28	x	x	SYM
ejpam-6506	276	29	such	such	ADJ
ejpam-6506	276	30	that	that	SCONJ
ejpam-6506	276	31	it	it	PRON
ejpam-6506	276	32	is	be	AUX
ejpam-6506	276	33	positive	positive	ADJ
ejpam-6506	276	34	definite	definite	ADJ
ejpam-6506	276	35	,	,	PUNCT
ejpam-6506	276	36	the	the	DET
ejpam-6506	276	37	coefficient	coefficient	NOUN
ejpam-6506	276	38	of	of	ADP
ejpam-6506	276	39	x2	x2	PROPN
ejpam-6506	276	40	must	must	AUX
ejpam-6506	276	41	be	be	AUX
ejpam-6506	276	42	positive	positive	ADJ
ejpam-6506	276	43	,	,	PUNCT
ejpam-6506	276	44	and	and	CCONJ
ejpam-6506	276	45	the	the	DET
ejpam-6506	276	46	discriminant	discriminant	NOUN
ejpam-6506	276	47	must	must	AUX
ejpam-6506	276	48	be	be	AUX
ejpam-6506	276	49	negative	negative	ADJ
ejpam-6506	276	50	.	.	PUNCT
ejpam-6506	277	1	this	this	PRON
ejpam-6506	277	2	is	be	AUX
ejpam-6506	277	3	equivalent	equivalent	ADJ
ejpam-6506	277	4	to	to	ADP
ejpam-6506	277	5	a	a	DET
ejpam-6506	277	6	<	<	X
ejpam-6506	277	7	−	−	PROPN
ejpam-6506	277	8	1	1	NUM
ejpam-6506	277	9	1.8h	1.8h	NUM
ejpam-6506	277	10	.	.	PUNCT
ejpam-6506	278	1	(	(	PUNCT
ejpam-6506	278	2	12	12	NUM
ejpam-6506	278	3	)	)	PUNCT
ejpam-6506	278	4	next	next	ADV
ejpam-6506	278	5	,	,	PUNCT
ejpam-6506	278	6	for	for	ADP
ejpam-6506	278	7	the	the	DET
ejpam-6506	278	8	second	second	ADJ
ejpam-6506	278	9	jury	jury	NOUN
ejpam-6506	278	10	’s	’s	PART
ejpam-6506	278	11	condition	condition	NOUN
ejpam-6506	278	12	,	,	PUNCT
ejpam-6506	278	13	we	we	PRON
ejpam-6506	278	14	obtain	obtain	VERB
ejpam-6506	278	15	the	the	DET
ejpam-6506	278	16	following	follow	VERB
ejpam-6506	278	17	equation	equation	NOUN
ejpam-6506	278	18	1−	1−	NUM
ejpam-6506	278	19	b1	b1	NOUN
ejpam-6506	278	20	+	+	CCONJ
ejpam-6506	278	21	b2	b2	NOUN
ejpam-6506	278	22	−	−	NOUN
ejpam-6506	278	23	b3	b3	NOUN
ejpam-6506	278	24	=	=	SYM
ejpam-6506	278	25	(	(	PUNCT
ejpam-6506	278	26	20.16h2	20.16h2	NUM
ejpam-6506	278	27	+	+	SYM
ejpam-6506	278	28	3.24h4	3.24h4	NUM
ejpam-6506	278	29	)	)	PUNCT
ejpam-6506	279	1	x2	x2	NOUN
ejpam-6506	280	1	+	+	CCONJ
ejpam-6506	280	2	(	(	PUNCT
ejpam-6506	280	3	25.6h+	25.6h+	NUM
ejpam-6506	280	4	3.6h3	3.6h3	NUM
ejpam-6506	280	5	)	)	PUNCT
ejpam-6506	280	6	x+	x+	PUNCT
ejpam-6506	280	7	8	8	NUM
ejpam-6506	280	8	+	+	CCONJ
ejpam-6506	280	9	2h2	2h2	NUM
ejpam-6506	281	1	+	+	CCONJ
ejpam-6506	281	2	1.8h3a	1.8h3a	NUM
ejpam-6506	281	3	(	(	PUNCT
ejpam-6506	281	4	1.8hx+	1.8hx+	NUM
ejpam-6506	281	5	1)2	1)2	NUM
ejpam-6506	281	6	>	>	SYM
ejpam-6506	281	7	0	0	PUNCT
ejpam-6506	281	8	⇒	⇒	NOUN
ejpam-6506	281	9	(	(	PUNCT
ejpam-6506	281	10	20.16h2	20.16h2	NUM
ejpam-6506	281	11	+	+	SYM
ejpam-6506	281	12	3.24h4	3.24h4	NUM
ejpam-6506	281	13	)	)	PUNCT
ejpam-6506	282	1	x2	x2	NOUN
ejpam-6506	283	1	+	+	CCONJ
ejpam-6506	283	2	(	(	PUNCT
ejpam-6506	283	3	25.6h+	25.6h+	NUM
ejpam-6506	283	4	3.6h3	3.6h3	NUM
ejpam-6506	283	5	)	)	PUNCT
ejpam-6506	283	6	x+	x+	PUNCT
ejpam-6506	283	7	8	8	NUM
ejpam-6506	283	8	+	+	NUM
ejpam-6506	283	9	2h2	2h2	NUM
ejpam-6506	284	1	+	+	CCONJ
ejpam-6506	284	2	1.8h3a	1.8h3a	NUM
ejpam-6506	284	3	>	>	X
ejpam-6506	284	4	0	0	NUM
ejpam-6506	284	5	.	.	PUNCT
ejpam-6506	285	1	(	(	PUNCT
ejpam-6506	285	2	13	13	NUM
ejpam-6506	285	3	)	)	PUNCT
ejpam-6506	285	4	as	as	ADP
ejpam-6506	285	5	in	in	ADP
ejpam-6506	285	6	the	the	DET
ejpam-6506	285	7	case	case	NOUN
ejpam-6506	285	8	of	of	ADP
ejpam-6506	285	9	the	the	DET
ejpam-6506	285	10	first	first	ADJ
ejpam-6506	285	11	condition	condition	NOUN
ejpam-6506	285	12	,	,	PUNCT
ejpam-6506	285	13	it	it	PRON
ejpam-6506	285	14	is	be	AUX
ejpam-6506	285	15	sufficient	sufficient	ADJ
ejpam-6506	285	16	to	to	PART
ejpam-6506	285	17	consider	consider	VERB
ejpam-6506	285	18	the	the	DET
ejpam-6506	285	19	coefficient	coefficient	NOUN
ejpam-6506	285	20	of	of	ADP
ejpam-6506	285	21	x2	x2	PROPN
ejpam-6506	285	22	positive	positive	ADJ
ejpam-6506	285	23	and	and	CCONJ
ejpam-6506	285	24	the	the	DET
ejpam-6506	285	25	discriminant	discriminant	NOUN
ejpam-6506	285	26	negative	negative	ADJ
ejpam-6506	285	27	.	.	PUNCT
ejpam-6506	286	1	this	this	PRON
ejpam-6506	286	2	is	be	AUX
ejpam-6506	286	3	equivalent	equivalent	ADJ
ejpam-6506	286	4	with	with	ADP
ejpam-6506	286	5	a	a	PRON
ejpam-6506	286	6	>	>	X
ejpam-6506	286	7	−405h4	−405h4	PROPN
ejpam-6506	286	8	−	−	PROPN
ejpam-6506	286	9	2520h2	2520h2	NOUN
ejpam-6506	286	10	+	+	CCONJ
ejpam-6506	286	11	320	320	NUM
ejpam-6506	286	12	729h5	729h5	NUM
ejpam-6506	286	13	+	+	CCONJ
ejpam-6506	286	14	4536h3	4536h3	NUM
ejpam-6506	286	15	.	.	PUNCT
ejpam-6506	287	1	(	(	PUNCT
ejpam-6506	287	2	14	14	NUM
ejpam-6506	287	3	)	)	PUNCT
ejpam-6506	287	4	for	for	ADP
ejpam-6506	287	5	the	the	DET
ejpam-6506	287	6	third	third	ADJ
ejpam-6506	287	7	jury	jury	NOUN
ejpam-6506	287	8	’s	’s	PART
ejpam-6506	287	9	condition	condition	NOUN
ejpam-6506	287	10	1−b2+b1b3−b3	1−b2+b1b3−b3	ADJ
ejpam-6506	287	11	2	2	NUM
ejpam-6506	287	12	>	>	SYM
ejpam-6506	287	13	0	0	NUM
ejpam-6506	287	14	,	,	PUNCT
ejpam-6506	287	15	this	this	DET
ejpam-6506	287	16	inequality	inequality	NOUN
ejpam-6506	287	17	can	can	AUX
ejpam-6506	287	18	not	not	PART
ejpam-6506	287	19	be	be	AUX
ejpam-6506	287	20	simplified	simplify	VERB
ejpam-6506	287	21	in	in	ADP
ejpam-6506	287	22	closed	closed	ADJ
ejpam-6506	287	23	form	form	NOUN
ejpam-6506	287	24	,	,	PUNCT
ejpam-6506	287	25	but	but	CCONJ
ejpam-6506	287	26	it	it	PRON
ejpam-6506	287	27	can	can	AUX
ejpam-6506	287	28	be	be	AUX
ejpam-6506	287	29	checked	check	VERB
ejpam-6506	287	30	numerically	numerically	ADV
ejpam-6506	287	31	for	for	ADP
ejpam-6506	287	32	the	the	DET
ejpam-6506	287	33	given	give	VERB
ejpam-6506	287	34	parameter	parameter	NOUN
ejpam-6506	287	35	values	value	NOUN
ejpam-6506	287	36	.	.	PUNCT
ejpam-6506	288	1	c1x	c1x	VERB
ejpam-6506	288	2	4	4	NUM
ejpam-6506	288	3	+	+	CCONJ
ejpam-6506	288	4	c2x	c2x	PROPN
ejpam-6506	288	5	3	3	NUM
ejpam-6506	288	6	+	+	CCONJ
ejpam-6506	288	7	c3x	c3x	PROPN
ejpam-6506	288	8	2	2	NUM
ejpam-6506	288	9	+	+	CCONJ
ejpam-6506	288	10	c4x+	c4x+	X
ejpam-6506	288	11	c5	c5	PROPN
ejpam-6506	288	12	>	>	X
ejpam-6506	288	13	0	0	PUNCT
ejpam-6506	289	1	(	(	PUNCT
ejpam-6506	289	2	15	15	NUM
ejpam-6506	289	3	)	)	PUNCT
ejpam-6506	289	4	where	where	SCONJ
ejpam-6506	289	5	x	x	SYM
ejpam-6506	289	6	=	=	SYM
ejpam-6506	289	7	x∗	x∗	PROPN
ejpam-6506	289	8	c1	c1	NOUN
ejpam-6506	289	9	=	=	PROPN
ejpam-6506	289	10	−31.4928h6	−31.4928h6	PROPN
ejpam-6506	289	11	−	−	PROPN
ejpam-6506	289	12	68.9472h4	68.9472h4	PROPN
ejpam-6506	289	13	c2	c2	PROPN
ejpam-6506	289	14	=	=	PROPN
ejpam-6506	289	15	−75.816h5	−75.816h5	PROPN
ejpam-6506	290	1	−	−	PROPN
ejpam-6506	290	2	179.64h3	179.64h3	NUM
ejpam-6506	290	3	c3	c3	NOUN
ejpam-6506	290	4	=	=	PROPN
ejpam-6506	290	5	−12.96h5a−	−12.96h5a−	NOUN
ejpam-6506	290	6	75.24h4	75.24h4	NUM
ejpam-6506	290	7	−	−	NOUN
ejpam-6506	290	8	174.64h2	174.64h2	NUM
ejpam-6506	290	9	c4	c4	NOUN
ejpam-6506	290	10	=	=	SYM
ejpam-6506	290	11	−13.68ah4	−13.68ah4	PRON
ejpam-6506	290	12	−	−	NUM
ejpam-6506	290	13	34.6h3	34.6h3	NUM
ejpam-6506	290	14	−	−	NOUN
ejpam-6506	290	15	75h	75h	NOUN
ejpam-6506	290	16	c5	c5	PROPN
ejpam-6506	290	17	=	=	PUNCT
ejpam-6506	290	18	−12−	−12−	PUNCT
ejpam-6506	290	19	3.24h6a2	3.24h6a2	NUM
ejpam-6506	290	20	−	−	NOUN
ejpam-6506	290	21	3.6h5a−	3.6h5a−	NUM
ejpam-6506	290	22	h4	h4	NOUN
ejpam-6506	290	23	−	−	PROPN
ejpam-6506	290	24	3.6h3a−	3.6h3a−	NOUN
ejpam-6506	290	25	6h2	6h2	NUM
ejpam-6506	290	26	.	.	PUNCT
ejpam-6506	291	1	finally	finally	ADV
ejpam-6506	291	2	,	,	PUNCT
ejpam-6506	291	3	for	for	ADP
ejpam-6506	291	4	the	the	DET
ejpam-6506	291	5	last	last	ADJ
ejpam-6506	291	6	jury	jury	NOUN
ejpam-6506	291	7	’s	’s	PART
ejpam-6506	291	8	condition	condition	NOUN
ejpam-6506	291	9	b2	b2	NOUN
ejpam-6506	291	10	>	>	X
ejpam-6506	291	11	3	3	NUM
ejpam-6506	291	12	,	,	PUNCT
ejpam-6506	291	13	we	we	PRON
ejpam-6506	291	14	have	have	VERB
ejpam-6506	291	15	1.8h3x+	1.8h3x+	NUM
ejpam-6506	291	16	h2	h2	NOUN
ejpam-6506	291	17	−	−	PROPN
ejpam-6506	291	18	1.6hx	1.6hx	PROPN
ejpam-6506	291	19	1.8hx+	1.8hx+	NUM
ejpam-6506	291	20	1	1	NUM
ejpam-6506	291	21	>	>	SYM
ejpam-6506	291	22	0	0	NUM
ejpam-6506	292	1	(	(	PUNCT
ejpam-6506	292	2	16	16	NUM
ejpam-6506	292	3	)	)	PUNCT
ejpam-6506	292	4	note	note	NOUN
ejpam-6506	292	5	that	that	SCONJ
ejpam-6506	292	6	the	the	DET
ejpam-6506	292	7	numerator	numerator	NOUN
ejpam-6506	292	8	of	of	ADP
ejpam-6506	292	9	the	the	DET
ejpam-6506	292	10	equation	equation	NOUN
ejpam-6506	292	11	(	(	PUNCT
ejpam-6506	292	12	16	16	NUM
ejpam-6506	292	13	)	)	PUNCT
ejpam-6506	292	14	is	be	AUX
ejpam-6506	292	15	positive	positive	ADJ
ejpam-6506	292	16	definite	definite	ADJ
ejpam-6506	292	17	for	for	ADP
ejpam-6506	292	18	h	h	NOUN
ejpam-6506	292	19	>	>	X
ejpam-6506	292	20	0	0	PUNCT
ejpam-6506	293	1	so	so	CCONJ
ejpam-6506	293	2	the	the	DET
ejpam-6506	293	3	sign	sign	NOUN
ejpam-6506	293	4	of	of	ADP
ejpam-6506	293	5	the	the	DET
ejpam-6506	293	6	equation	equation	NOUN
ejpam-6506	293	7	(	(	PUNCT
ejpam-6506	293	8	16	16	NUM
ejpam-6506	293	9	)	)	PUNCT
ejpam-6506	293	10	is	be	AUX
ejpam-6506	293	11	affected	affect	VERB
ejpam-6506	293	12	by	by	ADP
ejpam-6506	293	13	the	the	DET
ejpam-6506	293	14	denominator	denominator	NOUN
ejpam-6506	293	15	only	only	ADV
ejpam-6506	293	16	,	,	PUNCT
ejpam-6506	293	17	namely	namely	ADV
ejpam-6506	293	18	when	when	SCONJ
ejpam-6506	293	19	the	the	DET
ejpam-6506	293	20	condition	condition	NOUN
ejpam-6506	293	21	x∗	x∗	VERB
ejpam-6506	293	22	>	>	X
ejpam-6506	294	1	−	−	PROPN
ejpam-6506	295	1	1	1	NUM
ejpam-6506	295	2	1.8h	1.8h	NUM
ejpam-6506	295	3	.	.	PUNCT
ejpam-6506	296	1	(	(	PUNCT
ejpam-6506	296	2	17	17	NUM
ejpam-6506	296	3	)	)	PUNCT
ejpam-6506	296	4	note	note	VERB
ejpam-6506	296	5	that	that	SCONJ
ejpam-6506	296	6	equilibrium	equilibrium	NOUN
ejpam-6506	296	7	e∗	e∗	NOUN
ejpam-6506	296	8	1	1	NUM
ejpam-6506	296	9	is	be	AUX
ejpam-6506	296	10	always	always	ADV
ejpam-6506	296	11	satisfied	satisfied	ADJ
ejpam-6506	296	12	(	(	PUNCT
ejpam-6506	296	13	17	17	NUM
ejpam-6506	296	14	)	)	PUNCT
ejpam-6506	296	15	where	where	SCONJ
ejpam-6506	296	16	for	for	ADP
ejpam-6506	296	17	e∗	e∗	NOUN
ejpam-6506	296	18	2	2	NUM
ejpam-6506	296	19	the	the	DET
ejpam-6506	296	20	(	(	PUNCT
ejpam-6506	296	21	17	17	NUM
ejpam-6506	296	22	)	)	PUNCT
ejpam-6506	296	23	is	be	AUX
ejpam-6506	296	24	equivalent	equivalent	ADJ
ejpam-6506	296	25	with	with	ADP
ejpam-6506	296	26	a	a	DET
ejpam-6506	296	27	<	<	X
ejpam-6506	296	28	1	1	NUM
ejpam-6506	296	29	7.2	7.2	NUM
ejpam-6506	296	30	−	−	NUM
ejpam-6506	296	31	1	1	NUM
ejpam-6506	296	32	7.2	7.2	NUM
ejpam-6506	296	33	(	(	PUNCT
ejpam-6506	296	34	1	1	NUM
ejpam-6506	296	35	h	h	NOUN
ejpam-6506	296	36	+	+	NOUN
ejpam-6506	296	37	1	1	NUM
ejpam-6506	296	38	)	)	SYM
ejpam-6506	296	39	2	2	NUM
ejpam-6506	296	40	.	.	PUNCT
ejpam-6506	297	1	(	(	PUNCT
ejpam-6506	297	2	18	18	NUM
ejpam-6506	297	3	)	)	PUNCT
ejpam-6506	297	4	therefore	therefore	ADV
ejpam-6506	297	5	,	,	PUNCT
ejpam-6506	297	6	the	the	DET
ejpam-6506	297	7	two	two	NUM
ejpam-6506	297	8	equilibria	equilibrium	NOUN
ejpam-6506	297	9	of	of	ADP
ejpam-6506	297	10	the	the	DET
ejpam-6506	297	11	non	non	ADJ
ejpam-6506	297	12	-	-	ADJ
ejpam-6506	297	13	standard	standard	ADJ
ejpam-6506	297	14	system	system	NOUN
ejpam-6506	297	15	(	(	PUNCT
ejpam-6506	297	16	9	9	NUM
ejpam-6506	297	17	)	)	PUNCT
ejpam-6506	297	18	are	be	AUX
ejpam-6506	297	19	asymptotically	asymptotically	ADV
ejpam-6506	297	20	stable	stable	ADJ
ejpam-6506	297	21	if	if	SCONJ
ejpam-6506	297	22	the	the	DET
ejpam-6506	297	23	conditions	condition	NOUN
ejpam-6506	297	24	in	in	ADP
ejpam-6506	297	25	(	(	PUNCT
ejpam-6506	297	26	12	12	NUM
ejpam-6506	297	27	)	)	PUNCT
ejpam-6506	297	28	,	,	PUNCT
ejpam-6506	297	29	(	(	PUNCT
ejpam-6506	297	30	14	14	NUM
ejpam-6506	297	31	)	)	PUNCT
ejpam-6506	297	32	,	,	PUNCT
ejpam-6506	297	33	(	(	PUNCT
ejpam-6506	297	34	15	15	NUM
ejpam-6506	297	35	)	)	PUNCT
ejpam-6506	297	36	,	,	PUNCT
ejpam-6506	297	37	and	and	CCONJ
ejpam-6506	297	38	(	(	PUNCT
ejpam-6506	297	39	17	17	NUM
ejpam-6506	297	40	)	)	PUNCT
ejpam-6506	297	41	are	be	AUX
ejpam-6506	297	42	satisfied	satisfied	ADJ
ejpam-6506	297	43	.	.	PUNCT
ejpam-6506	298	1	m.	m.	PROPN
ejpam-6506	298	2	f.	f.	PROPN
ejpam-6506	298	3	ansori	ansori	PROPN
ejpam-6506	298	4	et	et	PROPN
ejpam-6506	298	5	al	al	PROPN
ejpam-6506	298	6	.	.	PUNCT
ejpam-6506	298	7	/	/	SYM
ejpam-6506	298	8	eur	eur	PROPN
ejpam-6506	298	9	.	.	PUNCT
ejpam-6506	299	1	j.	j.	PROPN
ejpam-6506	299	2	pure	pure	PROPN
ejpam-6506	299	3	appl	appl	PROPN
ejpam-6506	299	4	.	.	PROPN
ejpam-6506	299	5	math	math	PROPN
ejpam-6506	299	6	,	,	PUNCT
ejpam-6506	299	7	18	18	NUM
ejpam-6506	299	8	(	(	PUNCT
ejpam-6506	299	9	4	4	NUM
ejpam-6506	299	10	)	)	PUNCT
ejpam-6506	299	11	(	(	PUNCT
ejpam-6506	299	12	2025	2025	NUM
ejpam-6506	299	13	)	)	PUNCT
ejpam-6506	299	14	,	,	PUNCT
ejpam-6506	299	15	6506	6506	NUM
ejpam-6506	299	16	15	15	NUM
ejpam-6506	299	17	of	of	ADP
ejpam-6506	299	18	27	27	NUM
ejpam-6506	299	19	theorem	theorem	NOUN
ejpam-6506	299	20	3	3	X
ejpam-6506	299	21	.	.	PUNCT
ejpam-6506	299	22	consider	consider	VERB
ejpam-6506	299	23	the	the	DET
ejpam-6506	299	24	nonstandard	nonstandard	ADJ
ejpam-6506	299	25	system	system	NOUN
ejpam-6506	299	26	(	(	PUNCT
ejpam-6506	299	27	9	9	NUM
ejpam-6506	299	28	)	)	PUNCT
ejpam-6506	299	29	with	with	ADP
ejpam-6506	299	30	equilibrium	equilibrium	NOUN
ejpam-6506	299	31	points	point	NOUN
ejpam-6506	299	32	e∗	e∗	PROPN
ejpam-6506	299	33	1,2	1,2	NUM
ejpam-6506	299	34	=	=	SYM
ejpam-6506	299	35	(	(	PUNCT
ejpam-6506	299	36	1±	1±	NUM
ejpam-6506	299	37	√	√	NUM
ejpam-6506	299	38	1−	1−	NUM
ejpam-6506	299	39	7.2a	7.2a	NUM
ejpam-6506	299	40	3.6	3.6	NUM
ejpam-6506	299	41	,	,	PUNCT
ejpam-6506	299	42	0	0	NUM
ejpam-6506	299	43	,	,	PUNCT
ejpam-6506	299	44	1±	1±	NUM
ejpam-6506	299	45	√	√	NUM
ejpam-6506	299	46	1−	1−	NUM
ejpam-6506	299	47	7.2a	7.2a	NUM
ejpam-6506	299	48	3.6	3.6	NUM
ejpam-6506	299	49	)	)	PUNCT
ejpam-6506	299	50	.	.	PUNCT
ejpam-6506	300	1	the	the	DET
ejpam-6506	300	2	equilibrium	equilibrium	NOUN
ejpam-6506	300	3	points	point	NOUN
ejpam-6506	300	4	e∗	e∗	PROPN
ejpam-6506	300	5	1,2	1,2	NUM
ejpam-6506	300	6	are	be	AUX
ejpam-6506	300	7	locally	locally	ADV
ejpam-6506	300	8	asymptotically	asymptotically	ADV
ejpam-6506	300	9	stable	stable	ADJ
ejpam-6506	300	10	if	if	SCONJ
ejpam-6506	300	11	the	the	DET
ejpam-6506	300	12	following	follow	VERB
ejpam-6506	300	13	conditions	condition	NOUN
ejpam-6506	300	14	hold	hold	VERB
ejpam-6506	300	15	.	.	PUNCT
ejpam-6506	301	1			NUM
ejpam-6506	301	2	−405h4	−405h4	PROPN
ejpam-6506	301	3	−	−	PROPN
ejpam-6506	301	4	2520h2	2520h2	NOUN
ejpam-6506	301	5	+	+	CCONJ
ejpam-6506	301	6	320	320	NUM
ejpam-6506	301	7	729h5	729h5	NUM
ejpam-6506	301	8	+	+	CCONJ
ejpam-6506	301	9	4536h3	4536h3	X
ejpam-6506	301	10	<	<	X
ejpam-6506	301	11	a	a	DET
ejpam-6506	301	12	<	<	X
ejpam-6506	301	13	−	−	PROPN
ejpam-6506	301	14	1	1	NUM
ejpam-6506	301	15	1.8h	1.8h	NUM
ejpam-6506	301	16	,	,	PUNCT
ejpam-6506	301	17	x∗	x∗	PROPN
ejpam-6506	301	18	>	>	X
ejpam-6506	302	1	−	−	PROPN
ejpam-6506	302	2	1	1	NUM
ejpam-6506	302	3	1.8h	1.8h	NUM
ejpam-6506	302	4	,	,	PUNCT
ejpam-6506	302	5	c1(x	c1(x	VERB
ejpam-6506	302	6	∗)4	∗)4	NUM
ejpam-6506	302	7	+	+	CCONJ
ejpam-6506	302	8	c2(x	c2(x	X
ejpam-6506	302	9	∗)3	∗)3	PUNCT
ejpam-6506	302	10	+	+	PUNCT
ejpam-6506	302	11	c3(x	c3(x	PRON
ejpam-6506	302	12	∗)2	∗)2	ADJ
ejpam-6506	302	13	+	+	NUM
ejpam-6506	302	14	c4x	c4x	VERB
ejpam-6506	302	15	∗	∗	NOUN
ejpam-6506	302	16	+	+	X
ejpam-6506	303	1	c5	c5	PROPN
ejpam-6506	303	2	>	>	X
ejpam-6506	303	3	0	0	PROPN
ejpam-6506	303	4	,	,	PUNCT
ejpam-6506	303	5	(	(	PUNCT
ejpam-6506	303	6	19	19	NUM
ejpam-6506	303	7	)	)	PUNCT
ejpam-6506	303	8	where	where	SCONJ
ejpam-6506	303	9	c1	c1	NOUN
ejpam-6506	303	10	=	=	PROPN
ejpam-6506	303	11	−31.4928h6	−31.4928h6	PROPN
ejpam-6506	303	12	−	−	PROPN
ejpam-6506	303	13	68.9472h4	68.9472h4	PROPN
ejpam-6506	303	14	,	,	PUNCT
ejpam-6506	303	15	c2	c2	PROPN
ejpam-6506	303	16	=	=	PROPN
ejpam-6506	303	17	−75.816h5	−75.816h5	PROPN
ejpam-6506	303	18	−	−	PROPN
ejpam-6506	303	19	179.64h3	179.64h3	NUM
ejpam-6506	303	20	,	,	PUNCT
ejpam-6506	303	21	c3	c3	PROPN
ejpam-6506	303	22	=	=	PROPN
ejpam-6506	303	23	−12.96h5a−	−12.96h5a−	NOUN
ejpam-6506	303	24	75.24h4	75.24h4	NUM
ejpam-6506	303	25	−	−	NOUN
ejpam-6506	303	26	174.64h2	174.64h2	NUM
ejpam-6506	303	27	,	,	PUNCT
ejpam-6506	303	28	c4	c4	NOUN
ejpam-6506	303	29	=	=	SYM
ejpam-6506	303	30	−13.68ah4	−13.68ah4	PRON
ejpam-6506	303	31	−	−	NUM
ejpam-6506	303	32	34.6h3	34.6h3	NUM
ejpam-6506	303	33	−	−	NOUN
ejpam-6506	303	34	75h	75h	NOUN
ejpam-6506	303	35	,	,	PUNCT
ejpam-6506	303	36	c5	c5	PROPN
ejpam-6506	303	37	=	=	PUNCT
ejpam-6506	303	38	−12−	−12−	PUNCT
ejpam-6506	303	39	3.24h6a2	3.24h6a2	NUM
ejpam-6506	303	40	−	−	NOUN
ejpam-6506	303	41	3.6h5a−	3.6h5a−	NUM
ejpam-6506	303	42	h4	h4	NOUN
ejpam-6506	303	43	−	−	PROPN
ejpam-6506	303	44	3.6h3a−	3.6h3a−	NOUN
ejpam-6506	303	45	6h2	6h2	NUM
ejpam-6506	303	46	.	.	PUNCT
ejpam-6506	304	1	as	as	ADP
ejpam-6506	304	2	in	in	ADP
ejpam-6506	304	3	the	the	DET
ejpam-6506	304	4	euler	euler	NOUN
ejpam-6506	304	5	case	case	NOUN
ejpam-6506	304	6	(	(	PUNCT
ejpam-6506	304	7	section	section	NOUN
ejpam-6506	304	8	2	2	NUM
ejpam-6506	304	9	)	)	PUNCT
ejpam-6506	304	10	,	,	PUNCT
ejpam-6506	304	11	these	these	DET
ejpam-6506	304	12	stability	stability	NOUN
ejpam-6506	304	13	results	result	NOUN
ejpam-6506	304	14	are	be	AUX
ejpam-6506	304	15	purely	purely	ADV
ejpam-6506	304	16	local	local	ADJ
ejpam-6506	304	17	;	;	PUNCT
ejpam-6506	304	18	global	global	ADJ
ejpam-6506	304	19	stability	stability	NOUN
ejpam-6506	304	20	and	and	CCONJ
ejpam-6506	304	21	transient	transient	ADJ
ejpam-6506	304	22	dynamics	dynamic	NOUN
ejpam-6506	304	23	are	be	AUX
ejpam-6506	304	24	outside	outside	ADP
ejpam-6506	304	25	the	the	DET
ejpam-6506	304	26	present	present	ADJ
ejpam-6506	304	27	scope	scope	NOUN
ejpam-6506	304	28	.	.	PUNCT
ejpam-6506	305	1	furthermore	furthermore	ADV
ejpam-6506	305	2	,	,	PUNCT
ejpam-6506	305	3	using	use	VERB
ejpam-6506	305	4	the	the	DET
ejpam-6506	305	5	same	same	ADJ
ejpam-6506	305	6	procedure	procedure	NOUN
ejpam-6506	305	7	,	,	PUNCT
ejpam-6506	305	8	we	we	PRON
ejpam-6506	305	9	also	also	ADV
ejpam-6506	305	10	evaluate	evaluate	VERB
ejpam-6506	305	11	the	the	DET
ejpam-6506	305	12	stability	stability	NOUN
ejpam-6506	305	13	of	of	ADP
ejpam-6506	305	14	the	the	DET
ejpam-6506	305	15	equilibrium	equilibrium	NOUN
ejpam-6506	305	16	points	point	NOUN
ejpam-6506	305	17	e∗	e∗	PROPN
ejpam-6506	305	18	1	1	NUM
ejpam-6506	305	19	and	and	CCONJ
ejpam-6506	305	20	e∗	e∗	PROPN
ejpam-6506	305	21	2	2	NUM
ejpam-6506	305	22	in	in	ADP
ejpam-6506	305	23	the	the	DET
ejpam-6506	305	24	mickens	micken	NOUN
ejpam-6506	305	25	nonstandard	nonstandard	ADJ
ejpam-6506	305	26	scheme	scheme	NOUN
ejpam-6506	305	27	.	.	PUNCT
ejpam-6506	306	1	the	the	DET
ejpam-6506	306	2	two	two	NUM
ejpam-6506	306	3	-	-	PUNCT
ejpam-6506	306	4	parameter	parameter	NOUN
ejpam-6506	306	5	stability	stability	NOUN
ejpam-6506	306	6	map	map	NOUN
ejpam-6506	306	7	in	in	ADP
ejpam-6506	306	8	the	the	DET
ejpam-6506	306	9	(	(	PUNCT
ejpam-6506	306	10	a	a	PROPN
ejpam-6506	306	11	,	,	PUNCT
ejpam-6506	306	12	h	h	NOUN
ejpam-6506	306	13	)	)	PUNCT
ejpam-6506	306	14	plane	plane	NOUN
ejpam-6506	306	15	is	be	AUX
ejpam-6506	306	16	shown	show	VERB
ejpam-6506	306	17	in	in	ADP
ejpam-6506	306	18	figure	figure	NOUN
ejpam-6506	306	19	7	7	NUM
ejpam-6506	306	20	,	,	PUNCT
ejpam-6506	306	21	which	which	PRON
ejpam-6506	306	22	is	be	AUX
ejpam-6506	306	23	constructed	construct	VERB
ejpam-6506	306	24	based	base	VERB
ejpam-6506	306	25	on	on	ADP
ejpam-6506	306	26	the	the	DET
ejpam-6506	306	27	spectral	spectral	ADJ
ejpam-6506	306	28	radius	radius	NOUN
ejpam-6506	306	29	of	of	ADP
ejpam-6506	306	30	the	the	DET
ejpam-6506	306	31	non	non	ADJ
ejpam-6506	306	32	-	-	ADJ
ejpam-6506	306	33	standard	standard	ADJ
ejpam-6506	306	34	jacobian	jacobian	ADJ
ejpam-6506	306	35	.	.	PUNCT
ejpam-6506	306	36	figure	figure	NOUN
ejpam-6506	306	37	7	7	NUM
ejpam-6506	306	38	shows	show	VERB
ejpam-6506	306	39	the	the	DET
ejpam-6506	306	40	numerical	numerical	ADJ
ejpam-6506	306	41	results	result	NOUN
ejpam-6506	306	42	for	for	ADP
ejpam-6506	306	43	the	the	DET
ejpam-6506	306	44	non	non	ADJ
ejpam-6506	306	45	-	-	ADJ
ejpam-6506	306	46	standard	standard	ADJ
ejpam-6506	306	47	scheme	scheme	NOUN
ejpam-6506	306	48	.	.	PUNCT
ejpam-6506	307	1	the	the	DET
ejpam-6506	307	2	equilibrium	equilibrium	NOUN
ejpam-6506	307	3	point	point	NOUN
ejpam-6506	307	4	e∗	e∗	PROPN
ejpam-6506	307	5	1	1	NUM
ejpam-6506	307	6	remains	remain	VERB
ejpam-6506	307	7	stable	stable	ADJ
ejpam-6506	307	8	at	at	ADP
ejpam-6506	307	9	the	the	DET
ejpam-6506	307	10	interval	interval	NOUN
ejpam-6506	307	11	a	a	DET
ejpam-6506	307	12	<	<	X
ejpam-6506	307	13	0	0	NUM
ejpam-6506	307	14	;	;	PUNCT
ejpam-6506	307	15	however	however	ADV
ejpam-6506	307	16	,	,	PUNCT
ejpam-6506	307	17	its	its	PRON
ejpam-6506	307	18	stability	stability	NOUN
ejpam-6506	307	19	region	region	NOUN
ejpam-6506	307	20	is	be	AUX
ejpam-6506	307	21	more	more	ADV
ejpam-6506	307	22	limited	limited	ADJ
ejpam-6506	307	23	than	than	ADP
ejpam-6506	307	24	that	that	PRON
ejpam-6506	307	25	of	of	ADP
ejpam-6506	307	26	the	the	DET
ejpam-6506	307	27	standard	standard	ADJ
ejpam-6506	307	28	scheme	scheme	NOUN
ejpam-6506	307	29	because	because	SCONJ
ejpam-6506	307	30	of	of	ADP
ejpam-6506	307	31	the	the	DET
ejpam-6506	307	32	additional	additional	ADJ
ejpam-6506	307	33	condition	condition	NOUN
ejpam-6506	307	34	1	1	NUM
ejpam-6506	307	35	+	+	NUM
ejpam-6506	307	36	1.8hx∗	1.8hx∗	NUM
ejpam-6506	307	37	>	>	X
ejpam-6506	307	38	0	0	NUM
ejpam-6506	307	39	.	.	PUNCT
ejpam-6506	308	1	meanwhile	meanwhile	ADV
ejpam-6506	308	2	,	,	PUNCT
ejpam-6506	308	3	although	although	SCONJ
ejpam-6506	308	4	the	the	DET
ejpam-6506	308	5	jury	jury	NOUN
ejpam-6506	308	6	conditions	condition	NOUN
ejpam-6506	308	7	indicate	indicate	VERB
ejpam-6506	308	8	that	that	SCONJ
ejpam-6506	308	9	both	both	PRON
ejpam-6506	308	10	e∗	e∗	PROPN
ejpam-6506	308	11	1	1	NUM
ejpam-6506	308	12	and	and	CCONJ
ejpam-6506	308	13	e∗	e∗	PROPN
ejpam-6506	308	14	2	2	NUM
ejpam-6506	308	15	could	could	AUX
ejpam-6506	308	16	in	in	ADP
ejpam-6506	308	17	principle	principle	NOUN
ejpam-6506	308	18	be	be	AUX
ejpam-6506	308	19	stable	stable	ADJ
ejpam-6506	308	20	under	under	ADP
ejpam-6506	308	21	suitable	suitable	ADJ
ejpam-6506	308	22	(	(	PUNCT
ejpam-6506	308	23	a	a	PRON
ejpam-6506	308	24	,	,	PUNCT
ejpam-6506	308	25	h	h	NOUN
ejpam-6506	308	26	)	)	PUNCT
ejpam-6506	308	27	pairs	pair	NOUN
ejpam-6506	308	28	,	,	PUNCT
ejpam-6506	308	29	the	the	DET
ejpam-6506	308	30	numerical	numerical	PROPN
ejpam-6506	308	31	exploration	exploration	NOUN
ejpam-6506	308	32	shows	show	VERB
ejpam-6506	308	33	that	that	SCONJ
ejpam-6506	308	34	e∗	e∗	PROPN
ejpam-6506	308	35	2	2	NUM
ejpam-6506	308	36	possesses	possess	VERB
ejpam-6506	308	37	no	no	DET
ejpam-6506	308	38	significant	significant	ADJ
ejpam-6506	308	39	stability	stability	NOUN
ejpam-6506	308	40	domain	domain	NOUN
ejpam-6506	308	41	within	within	ADP
ejpam-6506	308	42	the	the	DET
ejpam-6506	308	43	investigated	investigate	VERB
ejpam-6506	308	44	ranges	range	NOUN
ejpam-6506	308	45	.	.	PUNCT
ejpam-6506	309	1	in	in	ADP
ejpam-6506	309	2	practice	practice	NOUN
ejpam-6506	309	3	,	,	PUNCT
ejpam-6506	309	4	only	only	ADV
ejpam-6506	309	5	e∗	e∗	NOUN
ejpam-6506	309	6	1	1	NUM
ejpam-6506	309	7	exhibits	exhibit	VERB
ejpam-6506	309	8	a	a	DET
ejpam-6506	309	9	significant	significant	ADJ
ejpam-6506	309	10	stability	stability	NOUN
ejpam-6506	309	11	region	region	NOUN
ejpam-6506	309	12	.	.	PUNCT
ejpam-6506	310	1	this	this	DET
ejpam-6506	310	2	highlights	highlight	NOUN
ejpam-6506	310	3	that	that	PRON
ejpam-6506	310	4	the	the	DET
ejpam-6506	310	5	main	main	ADJ
ejpam-6506	310	6	difference	difference	NOUN
ejpam-6506	310	7	between	between	ADP
ejpam-6506	310	8	the	the	DET
ejpam-6506	310	9	standard	standard	ADJ
ejpam-6506	310	10	and	and	CCONJ
ejpam-6506	310	11	nonstandard	nonstandard	ADJ
ejpam-6506	310	12	schemes	scheme	NOUN
ejpam-6506	310	13	emerges	emerge	VERB
ejpam-6506	310	14	more	more	ADV
ejpam-6506	310	15	clearly	clearly	ADV
ejpam-6506	310	16	when	when	SCONJ
ejpam-6506	310	17	h	h	NOUN
ejpam-6506	310	18	increases	increase	VERB
ejpam-6506	310	19	.	.	PUNCT
ejpam-6506	311	1	3.2	3.2	NUM
ejpam-6506	311	2	.	.	X
ejpam-6506	311	3	vanishing	vanish	VERB
ejpam-6506	311	4	step	step	NOUN
ejpam-6506	311	5	-	-	PUNCT
ejpam-6506	311	6	size	size	NOUN
ejpam-6506	311	7	limit	limit	NOUN
ejpam-6506	311	8	(	(	PUNCT
ejpam-6506	311	9	h	h	NOUN
ejpam-6506	311	10	→	→	SYM
ejpam-6506	311	11	0	0	NUM
ejpam-6506	311	12	):	):	PUNCT
ejpam-6506	311	13	nonstandard	nonstandard	ADJ
ejpam-6506	311	14	mickens	micken	NOUN
ejpam-6506	311	15	in	in	ADP
ejpam-6506	311	16	the	the	DET
ejpam-6506	311	17	nonstandard	nonstandard	ADJ
ejpam-6506	311	18	scheme	scheme	NOUN
ejpam-6506	311	19	(	(	PUNCT
ejpam-6506	311	20	9	9	NUM
ejpam-6506	311	21	)	)	PUNCT
ejpam-6506	311	22	,	,	PUNCT
ejpam-6506	311	23	the	the	DET
ejpam-6506	311	24	expansion	expansion	NOUN
ejpam-6506	311	25	of	of	ADP
ejpam-6506	311	26	the	the	DET
ejpam-6506	311	27	denominator	denominator	NOUN
ejpam-6506	311	28	(	(	PUNCT
ejpam-6506	311	29	1	1	NUM
ejpam-6506	311	30	+	+	NUM
ejpam-6506	311	31	1.8hx)−1	1.8hx)−1	NUM
ejpam-6506	311	32	=	=	SYM
ejpam-6506	311	33	1−	1−	NUM
ejpam-6506	311	34	1.8hx+o(h2	1.8hx+o(h2	NUM
ejpam-6506	311	35	)	)	PUNCT
ejpam-6506	311	36	(	(	PUNCT
ejpam-6506	311	37	1	1	NUM
ejpam-6506	311	38	+	+	SYM
ejpam-6506	311	39	1.8hx)−2	1.8hx)−2	NUM
ejpam-6506	311	40	=	=	SYM
ejpam-6506	311	41	1−	1−	NUM
ejpam-6506	311	42	3.6hx+o(h2	3.6hx+o(h2	NUM
ejpam-6506	311	43	)	)	PUNCT
ejpam-6506	311	44	shows	show	VERB
ejpam-6506	311	45	that	that	SCONJ
ejpam-6506	311	46	the	the	DET
ejpam-6506	311	47	jacobian	jacobian	ADJ
ejpam-6506	311	48	matrix	matrix	NOUN
ejpam-6506	311	49	at	at	ADP
ejpam-6506	311	50	the	the	DET
ejpam-6506	311	51	equilibrium	equilibrium	NOUN
ejpam-6506	311	52	point	point	NOUN
ejpam-6506	311	53	e	e	X
ejpam-6506	311	54	=	=	SYM
ejpam-6506	311	55	(	(	PUNCT
ejpam-6506	311	56	x∗	x∗	PROPN
ejpam-6506	311	57	,	,	PUNCT
ejpam-6506	311	58	0	0	NUM
ejpam-6506	311	59	,	,	PUNCT
ejpam-6506	311	60	x∗	x∗	PROPN
ejpam-6506	311	61	)	)	PUNCT
ejpam-6506	311	62	can	can	AUX
ejpam-6506	311	63	be	be	AUX
ejpam-6506	311	64	written	write	VERB
ejpam-6506	311	65	in	in	ADP
ejpam-6506	311	66	the	the	DET
ejpam-6506	311	67	form	form	NOUN
ejpam-6506	311	68	jns(e	jns(e	PROPN
ejpam-6506	311	69	)	)	PUNCT
ejpam-6506	312	1	=	=	PUNCT
ejpam-6506	313	1	i	i	PRON
ejpam-6506	313	2	+	+	X
ejpam-6506	313	3	ha(e	ha(e	PUNCT
ejpam-6506	313	4	)	)	PUNCT
ejpam-6506	314	1	+	+	NOUN
ejpam-6506	314	2	o(h2	o(h2	NOUN
ejpam-6506	314	3	)	)	PUNCT
ejpam-6506	314	4	,	,	PUNCT
ejpam-6506	314	5	h	h	NOUN
ejpam-6506	314	6	→	→	SYM
ejpam-6506	314	7	0	0	NUM
ejpam-6506	314	8	,	,	PUNCT
ejpam-6506	314	9	m.	m.	PROPN
ejpam-6506	314	10	f.	f.	PROPN
ejpam-6506	314	11	ansori	ansori	PROPN
ejpam-6506	314	12	et	et	PROPN
ejpam-6506	314	13	al	al	PROPN
ejpam-6506	314	14	.	.	PUNCT
ejpam-6506	314	15	/	/	SYM
ejpam-6506	314	16	eur	eur	PROPN
ejpam-6506	314	17	.	.	PUNCT
ejpam-6506	315	1	j.	j.	PROPN
ejpam-6506	315	2	pure	pure	PROPN
ejpam-6506	315	3	appl	appl	PROPN
ejpam-6506	315	4	.	.	PROPN
ejpam-6506	315	5	math	math	PROPN
ejpam-6506	315	6	,	,	PUNCT
ejpam-6506	315	7	18	18	NUM
ejpam-6506	315	8	(	(	PUNCT
ejpam-6506	315	9	4	4	NUM
ejpam-6506	315	10	)	)	PUNCT
ejpam-6506	315	11	(	(	PUNCT
ejpam-6506	315	12	2025	2025	NUM
ejpam-6506	315	13	)	)	PUNCT
ejpam-6506	315	14	,	,	PUNCT
ejpam-6506	315	15	6506	6506	NUM
ejpam-6506	315	16	16	16	NUM
ejpam-6506	315	17	of	of	ADP
ejpam-6506	315	18	27	27	NUM
ejpam-6506	315	19	(	(	PUNCT
ejpam-6506	315	20	a	a	NOUN
ejpam-6506	315	21	)	)	PUNCT
ejpam-6506	315	22	(	(	PUNCT
ejpam-6506	315	23	b	b	X
ejpam-6506	315	24	)	)	PUNCT
ejpam-6506	315	25	figure	figure	NOUN
ejpam-6506	315	26	7	7	NUM
ejpam-6506	315	27	:	:	SYM
ejpam-6506	315	28	two	two	NUM
ejpam-6506	315	29	-	-	PUNCT
ejpam-6506	315	30	parameter	parameter	NOUN
ejpam-6506	315	31	stability	stability	NOUN
ejpam-6506	315	32	maps	map	NOUN
ejpam-6506	315	33	for	for	ADP
ejpam-6506	315	34	the	the	DET
ejpam-6506	315	35	nonstandard	nonstandard	ADJ
ejpam-6506	315	36	mickens	micken	NOUN
ejpam-6506	315	37	scheme	scheme	NOUN
ejpam-6506	315	38	in	in	ADP
ejpam-6506	315	39	the	the	DET
ejpam-6506	315	40	(	(	PUNCT
ejpam-6506	315	41	a	a	PROPN
ejpam-6506	315	42	,	,	PUNCT
ejpam-6506	315	43	h	h	NOUN
ejpam-6506	315	44	)	)	PUNCT
ejpam-6506	315	45	plane	plane	NOUN
ejpam-6506	315	46	.	.	PUNCT
ejpam-6506	316	1	panel	panel	NOUN
ejpam-6506	316	2	(	(	PUNCT
ejpam-6506	316	3	a	a	X
ejpam-6506	316	4	):	):	PUNCT
ejpam-6506	316	5	equilibrium	equilibrium	NOUN
ejpam-6506	316	6	e∗	e∗	PROPN
ejpam-6506	316	7	1	1	NUM
ejpam-6506	316	8	;	;	PUNCT
ejpam-6506	316	9	panel	panel	NOUN
ejpam-6506	316	10	(	(	PUNCT
ejpam-6506	316	11	b	b	NOUN
ejpam-6506	316	12	):	):	PUNCT
ejpam-6506	316	13	equilibrium	equilibrium	NOUN
ejpam-6506	316	14	e∗	e∗	PROPN
ejpam-6506	316	15	2	2	NUM
ejpam-6506	316	16	.	.	PUNCT
ejpam-6506	317	1	blue	blue	ADJ
ejpam-6506	317	2	regions	region	NOUN
ejpam-6506	317	3	denote	denote	VERB
ejpam-6506	317	4	stable	stable	ADJ
ejpam-6506	317	5	parameter	parameter	NOUN
ejpam-6506	317	6	pairs	pair	NOUN
ejpam-6506	317	7	,	,	PUNCT
ejpam-6506	317	8	gray	gray	ADJ
ejpam-6506	317	9	regions	region	NOUN
ejpam-6506	317	10	indicate	indicate	VERB
ejpam-6506	317	11	unstable	unstable	ADJ
ejpam-6506	317	12	equilibria	equilibrium	NOUN
ejpam-6506	317	13	,	,	PUNCT
ejpam-6506	317	14	and	and	CCONJ
ejpam-6506	317	15	white	white	ADJ
ejpam-6506	317	16	regions	region	NOUN
ejpam-6506	317	17	correspond	correspond	VERB
ejpam-6506	317	18	to	to	PART
ejpam-6506	317	19	parameter	parameter	VERB
ejpam-6506	317	20	values	value	NOUN
ejpam-6506	317	21	in	in	ADP
ejpam-6506	317	22	which	which	PRON
ejpam-6506	317	23	equilibrium	equilibrium	NOUN
ejpam-6506	317	24	does	do	AUX
ejpam-6506	317	25	not	not	PART
ejpam-6506	317	26	exist	exist	VERB
ejpam-6506	317	27	.	.	PUNCT
ejpam-6506	318	1	stability	stability	NOUN
ejpam-6506	318	2	was	be	AUX
ejpam-6506	318	3	determined	determine	VERB
ejpam-6506	318	4	from	from	ADP
ejpam-6506	318	5	the	the	DET
ejpam-6506	318	6	spectral	spectral	ADJ
ejpam-6506	318	7	radius	radius	NOUN
ejpam-6506	318	8	of	of	ADP
ejpam-6506	318	9	jns(e	jns(e	PROPN
ejpam-6506	318	10	)	)	PUNCT
ejpam-6506	318	11	at	at	ADP
ejpam-6506	318	12	equation	equation	NOUN
ejpam-6506	318	13	(	(	PUNCT
ejpam-6506	318	14	10	10	NUM
ejpam-6506	318	15	)	)	PUNCT
ejpam-6506	318	16	.	.	PUNCT
ejpam-6506	319	1	where	where	SCONJ
ejpam-6506	319	2	a(e	a(e	PROPN
ejpam-6506	319	3	)	)	PUNCT
ejpam-6506	319	4	is	be	AUX
ejpam-6506	319	5	the	the	DET
ejpam-6506	319	6	jacobian	jacobian	NOUN
ejpam-6506	319	7	of	of	ADP
ejpam-6506	319	8	the	the	DET
ejpam-6506	319	9	ode	ode	PROPN
ejpam-6506	319	10	(	(	PUNCT
ejpam-6506	319	11	1	1	NUM
ejpam-6506	319	12	)	)	PUNCT
ejpam-6506	319	13	at	at	ADP
ejpam-6506	319	14	the	the	DET
ejpam-6506	319	15	equilibrium	equilibrium	NOUN
ejpam-6506	319	16	e	e	NOUN
ejpam-6506	319	17	=	=	SYM
ejpam-6506	319	18	(	(	PUNCT
ejpam-6506	319	19	x	x	X
ejpam-6506	319	20	,	,	PUNCT
ejpam-6506	319	21	0	0	NUM
ejpam-6506	319	22	,	,	PUNCT
ejpam-6506	319	23	x	x	NOUN
ejpam-6506	319	24	)	)	PUNCT
ejpam-6506	319	25	.	.	PUNCT
ejpam-6506	320	1	this	this	PRON
ejpam-6506	320	2	confirms	confirm	VERB
ejpam-6506	320	3	that	that	SCONJ
ejpam-6506	320	4	the	the	DET
ejpam-6506	320	5	spectral	spectral	ADJ
ejpam-6506	320	6	behavior	behavior	NOUN
ejpam-6506	320	7	of	of	ADP
ejpam-6506	320	8	the	the	DET
ejpam-6506	320	9	nonstandard	nonstandard	ADJ
ejpam-6506	320	10	scheme	scheme	NOUN
ejpam-6506	320	11	is	be	AUX
ejpam-6506	320	12	consistent	consistent	ADJ
ejpam-6506	320	13	with	with	ADP
ejpam-6506	320	14	that	that	PRON
ejpam-6506	320	15	of	of	ADP
ejpam-6506	320	16	the	the	DET
ejpam-6506	320	17	ode	ode	ADJ
ejpam-6506	320	18	system	system	NOUN
ejpam-6506	320	19	.	.	PUNCT
ejpam-6506	321	1	theorem	theorem	ADJ
ejpam-6506	321	2	4	4	NUM
ejpam-6506	321	3	(	(	PUNCT
ejpam-6506	321	4	spectral	spectral	ADJ
ejpam-6506	321	5	consistency	consistency	NOUN
ejpam-6506	321	6	,	,	PUNCT
ejpam-6506	321	7	nonstandard	nonstandard	ADJ
ejpam-6506	321	8	)	)	PUNCT
ejpam-6506	321	9	.	.	PUNCT
ejpam-6506	322	1	if	if	SCONJ
ejpam-6506	322	2	µ1	µ1	PROPN
ejpam-6506	322	3	,	,	PUNCT
ejpam-6506	322	4	µ2	µ2	PROPN
ejpam-6506	322	5	,	,	PUNCT
ejpam-6506	322	6	µ3	µ3	NOUN
ejpam-6506	322	7	are	be	AUX
ejpam-6506	322	8	eigenvalues	eigenvalue	NOUN
ejpam-6506	322	9	of	of	ADP
ejpam-6506	322	10	a(e	a(e	NOUN
ejpam-6506	322	11	)	)	PUNCT
ejpam-6506	322	12	,	,	PUNCT
ejpam-6506	322	13	while	while	SCONJ
ejpam-6506	322	14	λi(h	λi(h	NOUN
ejpam-6506	322	15	)	)	PUNCT
ejpam-6506	323	1	are	be	AUX
ejpam-6506	323	2	eigenvalues	eigenvalue	NOUN
ejpam-6506	323	3	of	of	ADP
ejpam-6506	323	4	jns(e	jns(e	PROPN
ejpam-6506	323	5	)	)	PUNCT
ejpam-6506	323	6	,	,	PUNCT
ejpam-6506	323	7	then	then	ADV
ejpam-6506	323	8	λi(h	λi(h	NOUN
ejpam-6506	323	9	)	)	PUNCT
ejpam-6506	323	10	=	=	SYM
ejpam-6506	324	1	1	1	NUM
ejpam-6506	324	2	+	+	NUM
ejpam-6506	324	3	hµi	hµi	ADJ
ejpam-6506	324	4	+	+	NOUN
ejpam-6506	324	5	o(h2	o(h2	NOUN
ejpam-6506	324	6	)	)	PUNCT
ejpam-6506	324	7	,	,	PUNCT
ejpam-6506	324	8	h	h	NOUN
ejpam-6506	324	9	→	→	SYM
ejpam-6506	324	10	0	0	NUM
ejpam-6506	324	11	,	,	PUNCT
ejpam-6506	324	12	i	i	PRON
ejpam-6506	324	13	=	=	NOUN
ejpam-6506	324	14	1	1	NUM
ejpam-6506	324	15	,	,	PUNCT
ejpam-6506	324	16	2	2	NUM
ejpam-6506	324	17	,	,	PUNCT
ejpam-6506	324	18	3	3	NUM
ejpam-6506	324	19	.	.	PUNCT
ejpam-6506	324	20	a	a	DET
ejpam-6506	324	21	direct	direct	ADJ
ejpam-6506	324	22	consequence	consequence	NOUN
ejpam-6506	324	23	of	of	ADP
ejpam-6506	324	24	this	this	DET
ejpam-6506	324	25	consistency	consistency	NOUN
ejpam-6506	324	26	is	be	AUX
ejpam-6506	324	27	the	the	DET
ejpam-6506	324	28	connection	connection	NOUN
ejpam-6506	324	29	between	between	ADP
ejpam-6506	324	30	the	the	DET
ejpam-6506	324	31	routh	routh	PROPN
ejpam-6506	324	32	–	–	PUNCT
ejpam-6506	324	33	hurwitz	hurwitz	PROPN
ejpam-6506	324	34	condition	condition	NOUN
ejpam-6506	324	35	for	for	ADP
ejpam-6506	324	36	continuous	continuous	ADJ
ejpam-6506	324	37	systems	system	NOUN
ejpam-6506	324	38	and	and	CCONJ
ejpam-6506	324	39	jury	jury	NOUN
ejpam-6506	324	40	stability	stability	NOUN
ejpam-6506	324	41	for	for	ADP
ejpam-6506	324	42	nonstandard	nonstandard	ADJ
ejpam-6506	324	43	maps	map	NOUN
ejpam-6506	324	44	.	.	PUNCT
ejpam-6506	325	1	corollary	corollary	ADJ
ejpam-6506	325	2	2	2	NUM
ejpam-6506	325	3	.	.	PUNCT
ejpam-6506	326	1	if	if	SCONJ
ejpam-6506	326	2	all	all	DET
ejpam-6506	326	3	ℜ(µi	ℜ(µi	X
ejpam-6506	326	4	)	)	PUNCT
ejpam-6506	326	5	<	<	X
ejpam-6506	326	6	0	0	NUM
ejpam-6506	326	7	,	,	PUNCT
ejpam-6506	326	8	then	then	ADV
ejpam-6506	326	9	there	there	PRON
ejpam-6506	326	10	exists	exist	VERB
ejpam-6506	326	11	h∗	h∗	PROPN
ejpam-6506	326	12	>	>	X
ejpam-6506	326	13	0	0	NUM
ejpam-6506	327	1	such	such	ADJ
ejpam-6506	327	2	that	that	SCONJ
ejpam-6506	327	3	|λi(h)|	|λi(h)|	NOUN
ejpam-6506	327	4	<	<	X
ejpam-6506	327	5	1	1	NUM
ejpam-6506	327	6	for	for	ADP
ejpam-6506	327	7	every	every	DET
ejpam-6506	327	8	0	0	NUM
ejpam-6506	327	9	<	<	X
ejpam-6506	327	10	h	h	NOUN
ejpam-6506	327	11	<	<	X
ejpam-6506	327	12	h∗.	h∗.	VERB
ejpam-6506	327	13	in	in	ADP
ejpam-6506	327	14	other	other	ADJ
ejpam-6506	327	15	words	word	NOUN
ejpam-6506	327	16	,	,	PUNCT
ejpam-6506	327	17	local	local	ADJ
ejpam-6506	327	18	asymptotic	asymptotic	ADJ
ejpam-6506	327	19	stability	stability	NOUN
ejpam-6506	327	20	in	in	ADP
ejpam-6506	327	21	the	the	DET
ejpam-6506	327	22	continuous	continuous	ADJ
ejpam-6506	327	23	system	system	NOUN
ejpam-6506	327	24	guarantees	guarantee	VERB
ejpam-6506	327	25	the	the	DET
ejpam-6506	327	26	stability	stability	NOUN
ejpam-6506	327	27	of	of	ADP
ejpam-6506	327	28	the	the	DET
ejpam-6506	327	29	equilibrium	equilibrium	NOUN
ejpam-6506	327	30	point	point	NOUN
ejpam-6506	327	31	in	in	ADP
ejpam-6506	327	32	the	the	DET
ejpam-6506	327	33	non	non	ADJ
ejpam-6506	327	34	-	-	ADJ
ejpam-6506	327	35	standard	standard	ADJ
ejpam-6506	327	36	scheme	scheme	NOUN
ejpam-6506	327	37	when	when	SCONJ
ejpam-6506	327	38	h	h	NOUN
ejpam-6506	327	39	is	be	AUX
ejpam-6506	327	40	sufficiently	sufficiently	ADV
ejpam-6506	327	41	small	small	ADJ
ejpam-6506	327	42	.	.	PUNCT
ejpam-6506	328	1	thus	thus	ADV
ejpam-6506	328	2	,	,	PUNCT
ejpam-6506	328	3	for	for	ADP
ejpam-6506	328	4	h	h	NOUN
ejpam-6506	328	5	approaching	approach	VERB
ejpam-6506	328	6	zero	zero	NUM
ejpam-6506	328	7	,	,	PUNCT
ejpam-6506	328	8	the	the	DET
ejpam-6506	328	9	nonstandard	nonstandard	ADJ
ejpam-6506	328	10	scheme	scheme	NOUN
ejpam-6506	328	11	not	not	PART
ejpam-6506	328	12	only	only	ADV
ejpam-6506	328	13	shares	share	VERB
ejpam-6506	328	14	equilibrium	equilibrium	NOUN
ejpam-6506	328	15	points	point	NOUN
ejpam-6506	328	16	with	with	ADP
ejpam-6506	328	17	the	the	DET
ejpam-6506	328	18	continuous	continuous	ADJ
ejpam-6506	328	19	system	system	NOUN
ejpam-6506	328	20	but	but	CCONJ
ejpam-6506	328	21	also	also	ADV
ejpam-6506	328	22	has	have	VERB
ejpam-6506	328	23	consistent	consistent	ADJ
ejpam-6506	328	24	local	local	ADJ
ejpam-6506	328	25	stability	stability	NOUN
ejpam-6506	328	26	properties	property	NOUN
ejpam-6506	328	27	.	.	PUNCT
ejpam-6506	329	1	this	this	PRON
ejpam-6506	329	2	clarifies	clarify	VERB
ejpam-6506	329	3	that	that	SCONJ
ejpam-6506	329	4	the	the	DET
ejpam-6506	329	5	main	main	ADJ
ejpam-6506	329	6	difference	difference	NOUN
ejpam-6506	329	7	with	with	ADP
ejpam-6506	329	8	the	the	DET
ejpam-6506	329	9	standard	standard	ADJ
ejpam-6506	329	10	scheme	scheme	NOUN
ejpam-6506	329	11	arises	arise	VERB
ejpam-6506	329	12	only	only	ADV
ejpam-6506	329	13	for	for	ADP
ejpam-6506	329	14	a	a	DET
ejpam-6506	329	15	larger	large	ADJ
ejpam-6506	329	16	h	h	NOUN
ejpam-6506	329	17	,	,	PUNCT
ejpam-6506	329	18	and	and	CCONJ
ejpam-6506	329	19	not	not	PART
ejpam-6506	329	20	for	for	ADP
ejpam-6506	329	21	small	small	ADJ
ejpam-6506	329	22	limits	limit	NOUN
ejpam-6506	329	23	.	.	PUNCT
ejpam-6506	330	1	remark	remark	NOUN
ejpam-6506	330	2	1	1	NUM
ejpam-6506	330	3	(	(	PUNCT
ejpam-6506	330	4	domain	domain	NOUN
ejpam-6506	330	5	and	and	CCONJ
ejpam-6506	330	6	step	step	NOUN
ejpam-6506	330	7	size	size	NOUN
ejpam-6506	330	8	conditions	condition	NOUN
ejpam-6506	330	9	)	)	PUNCT
ejpam-6506	330	10	.	.	PUNCT
ejpam-6506	331	1	in	in	ADP
ejpam-6506	331	2	addition	addition	NOUN
ejpam-6506	331	3	to	to	ADP
ejpam-6506	331	4	the	the	DET
ejpam-6506	331	5	spectral	spectral	ADJ
ejpam-6506	331	6	conditions	condition	NOUN
ejpam-6506	331	7	above	above	ADV
ejpam-6506	331	8	,	,	PUNCT
ejpam-6506	331	9	the	the	DET
ejpam-6506	331	10	non	non	ADJ
ejpam-6506	331	11	-	-	ADJ
ejpam-6506	331	12	standard	standard	ADJ
ejpam-6506	331	13	scheme	scheme	NOUN
ejpam-6506	331	14	requires	require	VERB
ejpam-6506	331	15	1	1	NUM
ejpam-6506	331	16	+	+	NUM
ejpam-6506	331	17	1.8hx∗	1.8hx∗	NUM
ejpam-6506	331	18	>	>	SYM
ejpam-6506	331	19	0	0	NUM
ejpam-6506	331	20	for	for	SCONJ
ejpam-6506	331	21	the	the	DET
ejpam-6506	331	22	denominator	denominator	NOUN
ejpam-6506	331	23	to	to	PART
ejpam-6506	331	24	be	be	AUX
ejpam-6506	331	25	non	non	ADJ
ejpam-6506	331	26	-	-	ADJ
ejpam-6506	331	27	zero	zero	NUM
ejpam-6506	331	28	.	.	PUNCT
ejpam-6506	332	1	this	this	DET
ejpam-6506	332	2	condition	condition	NOUN
ejpam-6506	332	3	is	be	AUX
ejpam-6506	332	4	satisfied	satisfied	ADJ
ejpam-6506	332	5	automatically	automatically	ADV
ejpam-6506	332	6	for	for	ADP
ejpam-6506	332	7	h	h	NOUN
ejpam-6506	332	8	→	→	SYM
ejpam-6506	332	9	0	0	NUM
ejpam-6506	332	10	.	.	PUNCT
ejpam-6506	333	1	furthermore	furthermore	ADV
ejpam-6506	333	2	,	,	PUNCT
ejpam-6506	333	3	the	the	DET
ejpam-6506	333	4	approximation	approximation	NOUN
ejpam-6506	333	5	|1+hµ|	|1+hµ|	ADP
ejpam-6506	333	6	<	<	X
ejpam-6506	333	7	1	1	NUM
ejpam-6506	333	8	m.	m.	NOUN
ejpam-6506	333	9	f.	f.	PROPN
ejpam-6506	333	10	ansori	ansori	PROPN
ejpam-6506	333	11	et	et	PROPN
ejpam-6506	333	12	al	al	PROPN
ejpam-6506	333	13	.	.	PUNCT
ejpam-6506	333	14	/	/	SYM
ejpam-6506	333	15	eur	eur	PROPN
ejpam-6506	333	16	.	.	PUNCT
ejpam-6506	334	1	j.	j.	PROPN
ejpam-6506	334	2	pure	pure	PROPN
ejpam-6506	334	3	appl	appl	PROPN
ejpam-6506	334	4	.	.	PROPN
ejpam-6506	334	5	math	math	PROPN
ejpam-6506	334	6	,	,	PUNCT
ejpam-6506	334	7	18	18	NUM
ejpam-6506	334	8	(	(	PUNCT
ejpam-6506	334	9	4	4	NUM
ejpam-6506	334	10	)	)	PUNCT
ejpam-6506	334	11	(	(	PUNCT
ejpam-6506	334	12	2025	2025	NUM
ejpam-6506	334	13	)	)	PUNCT
ejpam-6506	334	14	,	,	PUNCT
ejpam-6506	334	15	6506	6506	NUM
ejpam-6506	334	16	17	17	NUM
ejpam-6506	334	17	of	of	ADP
ejpam-6506	334	18	27	27	NUM
ejpam-6506	334	19	provides	provide	VERB
ejpam-6506	334	20	a	a	DET
ejpam-6506	334	21	conservative	conservative	NOUN
ejpam-6506	334	22	bound	bind	VERB
ejpam-6506	334	23	for	for	ADP
ejpam-6506	334	24	h	h	NOUN
ejpam-6506	334	25	:	:	PUNCT
ejpam-6506	334	26	if	if	SCONJ
ejpam-6506	334	27	µ	µ	X
ejpam-6506	334	28	=	=	SYM
ejpam-6506	334	29	−α	−α	NOUN
ejpam-6506	334	30	<	<	X
ejpam-6506	334	31	0	0	PUNCT
ejpam-6506	335	1	then	then	ADV
ejpam-6506	335	2	0	0	NUM
ejpam-6506	335	3	<	<	X
ejpam-6506	335	4	h	h	X
ejpam-6506	335	5	<	<	X
ejpam-6506	335	6	2	2	NUM
ejpam-6506	335	7	/	/	SYM
ejpam-6506	335	8	α	α	NOUN
ejpam-6506	335	9	,	,	PUNCT
ejpam-6506	335	10	while	while	SCONJ
ejpam-6506	335	11	if	if	SCONJ
ejpam-6506	335	12	µ	µ	X
ejpam-6506	335	13	=	=	SYM
ejpam-6506	335	14	σ+	σ+	ADP
ejpam-6506	335	15	iω	iω	NOUN
ejpam-6506	335	16	with	with	ADP
ejpam-6506	335	17	σ	σ	X
ejpam-6506	335	18	<	<	X
ejpam-6506	335	19	0	0	PUNCT
ejpam-6506	336	1	then	then	ADV
ejpam-6506	336	2	0	0	NUM
ejpam-6506	336	3	<	<	X
ejpam-6506	336	4	h	h	X
ejpam-6506	336	5	<	<	X
ejpam-6506	336	6	−2σ	−2σ	PROPN
ejpam-6506	336	7	|µ|2	|µ|2	PROPN
ejpam-6506	336	8	.	.	PUNCT
ejpam-6506	337	1	as	as	ADP
ejpam-6506	337	2	a	a	DET
ejpam-6506	337	3	uniform	uniform	ADJ
ejpam-6506	337	4	guideline	guideline	NOUN
ejpam-6506	337	5	,	,	PUNCT
ejpam-6506	337	6	the	the	DET
ejpam-6506	337	7	following	follow	VERB
ejpam-6506	337	8	applies	apply	VERB
ejpam-6506	337	9	0	0	NUM
ejpam-6506	337	10	<	<	X
ejpam-6506	337	11	h	h	X
ejpam-6506	337	12	<	<	X
ejpam-6506	337	13	2	2	NUM
ejpam-6506	337	14	maxi	maxi	ADJ
ejpam-6506	337	15	|ℜ(µi)|	|ℜ(µi)|	NOUN
ejpam-6506	337	16	,	,	PUNCT
ejpam-6506	337	17	which	which	PRON
ejpam-6506	337	18	explains	explain	VERB
ejpam-6506	337	19	the	the	DET
ejpam-6506	337	20	reason	reason	NOUN
ejpam-6506	337	21	for	for	ADP
ejpam-6506	337	22	choosing	choose	VERB
ejpam-6506	337	23	a	a	DET
ejpam-6506	337	24	small	small	ADJ
ejpam-6506	337	25	h	h	NOUN
ejpam-6506	337	26	in	in	ADP
ejpam-6506	337	27	the	the	DET
ejpam-6506	337	28	numerical	numerical	ADJ
ejpam-6506	337	29	simulations	simulation	NOUN
ejpam-6506	337	30	,	,	PUNCT
ejpam-6506	337	31	while	while	SCONJ
ejpam-6506	337	32	also	also	ADV
ejpam-6506	337	33	warning	warn	VERB
ejpam-6506	337	34	about	about	ADP
ejpam-6506	337	35	the	the	DET
ejpam-6506	337	36	possibility	possibility	NOUN
ejpam-6506	337	37	of	of	ADP
ejpam-6506	337	38	pseudo	pseudo	NOUN
ejpam-6506	337	39	-	-	NOUN
ejpam-6506	337	40	bifurcation	bifurcation	NOUN
ejpam-6506	337	41	if	if	SCONJ
ejpam-6506	337	42	h	h	NOUN
ejpam-6506	337	43	is	be	AUX
ejpam-6506	337	44	too	too	ADV
ejpam-6506	337	45	large	large	ADJ
ejpam-6506	337	46	.	.	PUNCT
ejpam-6506	338	1	3.3	3.3	NUM
ejpam-6506	338	2	.	.	PUNCT
ejpam-6506	339	1	numerical	numerical	PROPN
ejpam-6506	339	2	exploration	exploration	NOUN
ejpam-6506	339	3	and	and	CCONJ
ejpam-6506	339	4	comparison	comparison	NOUN
ejpam-6506	339	5	with	with	ADP
ejpam-6506	339	6	the	the	DET
ejpam-6506	339	7	standard	standard	ADJ
ejpam-6506	339	8	scheme	scheme	NOUN
ejpam-6506	339	9	having	having	AUX
ejpam-6506	339	10	established	establish	VERB
ejpam-6506	339	11	that	that	SCONJ
ejpam-6506	339	12	the	the	DET
ejpam-6506	339	13	nonstandard	nonstandard	ADJ
ejpam-6506	339	14	scheme	scheme	NOUN
ejpam-6506	339	15	is	be	AUX
ejpam-6506	339	16	consistent	consistent	ADJ
ejpam-6506	339	17	with	with	ADP
ejpam-6506	339	18	the	the	DET
ejpam-6506	339	19	continuous	continuous	ADJ
ejpam-6506	339	20	system	system	NOUN
ejpam-6506	339	21	as	as	ADP
ejpam-6506	339	22	h	h	NOUN
ejpam-6506	339	23	→	→	SYM
ejpam-6506	339	24	0	0	NUM
ejpam-6506	339	25	,	,	PUNCT
ejpam-6506	339	26	we	we	PRON
ejpam-6506	339	27	now	now	ADV
ejpam-6506	339	28	present	present	VERB
ejpam-6506	339	29	numerical	numerical	ADJ
ejpam-6506	339	30	explorations	exploration	NOUN
ejpam-6506	339	31	of	of	ADP
ejpam-6506	339	32	the	the	DET
ejpam-6506	339	33	same	same	ADJ
ejpam-6506	339	34	order	order	NOUN
ejpam-6506	339	35	as	as	ADP
ejpam-6506	339	36	the	the	DET
ejpam-6506	339	37	standard	standard	ADJ
ejpam-6506	339	38	scheme	scheme	NOUN
ejpam-6506	339	39	.	.	PUNCT
ejpam-6506	340	1	one	one	NUM
ejpam-6506	340	2	-	-	PUNCT
ejpam-6506	340	3	parameter	parameter	NOUN
ejpam-6506	340	4	bifurcations	bifurcation	NOUN
ejpam-6506	340	5	,	,	PUNCT
ejpam-6506	340	6	two	two	NUM
ejpam-6506	340	7	-	-	PUNCT
ejpam-6506	340	8	parameter	parameter	NOUN
ejpam-6506	340	9	diagrams	diagram	NOUN
ejpam-6506	340	10	,	,	PUNCT
ejpam-6506	340	11	attractor	attractor	NOUN
ejpam-6506	340	12	dimension	dimension	NOUN
ejpam-6506	340	13	analysis	analysis	NOUN
ejpam-6506	340	14	,	,	PUNCT
ejpam-6506	340	15	representative	representative	ADJ
ejpam-6506	340	16	phase	phase	NOUN
ejpam-6506	340	17	portraits	portrait	NOUN
ejpam-6506	340	18	,	,	PUNCT
ejpam-6506	340	19	and	and	CCONJ
ejpam-6506	340	20	a	a	DET
ejpam-6506	340	21	final	final	ADJ
ejpam-6506	340	22	comparison	comparison	NOUN
ejpam-6506	340	23	with	with	ADP
ejpam-6506	340	24	the	the	DET
ejpam-6506	340	25	continuous	continuous	ADJ
ejpam-6506	340	26	model	model	NOUN
ejpam-6506	340	27	.	.	PUNCT
ejpam-6506	341	1	one	one	NUM
ejpam-6506	341	2	-	-	PUNCT
ejpam-6506	341	3	parameter	parameter	NOUN
ejpam-6506	341	4	bifurcation	bifurcation	NOUN
ejpam-6506	341	5	.	.	PUNCT
ejpam-6506	342	1	figure	figure	NOUN
ejpam-6506	342	2	8	8	NUM
ejpam-6506	342	3	shows	show	VERB
ejpam-6506	342	4	the	the	DET
ejpam-6506	342	5	bifurcation	bifurcation	NOUN
ejpam-6506	342	6	profile	profile	NOUN
ejpam-6506	342	7	and	and	CCONJ
ejpam-6506	342	8	corresponding	correspond	VERB
ejpam-6506	342	9	largest	large	ADJ
ejpam-6506	342	10	lyapunov	lyapunov	ADJ
ejpam-6506	342	11	exponent	exponent	NOUN
ejpam-6506	342	12	as	as	ADP
ejpam-6506	342	13	the	the	DET
ejpam-6506	342	14	parameter	parameter	NOUN
ejpam-6506	342	15	a	a	DET
ejpam-6506	342	16	varies	varie	NOUN
ejpam-6506	342	17	with	with	ADP
ejpam-6506	342	18	fixed	fix	VERB
ejpam-6506	342	19	step	step	NOUN
ejpam-6506	342	20	size	size	NOUN
ejpam-6506	342	21	h	h	NOUN
ejpam-6506	342	22	=	=	NOUN
ejpam-6506	342	23	0.01	0.01	NUM
ejpam-6506	342	24	.	.	PUNCT
ejpam-6506	343	1	both	both	DET
ejpam-6506	343	2	panels	panel	NOUN
ejpam-6506	343	3	are	be	AUX
ejpam-6506	343	4	consistent	consistent	ADJ
ejpam-6506	343	5	and	and	CCONJ
ejpam-6506	343	6	exhibit	exhibit	VERB
ejpam-6506	343	7	the	the	DET
ejpam-6506	343	8	same	same	ADJ
ejpam-6506	343	9	transition	transition	NOUN
ejpam-6506	343	10	structure	structure	NOUN
ejpam-6506	343	11	.	.	PUNCT
ejpam-6506	344	1	similarly	similarly	ADV
ejpam-6506	344	2	,	,	PUNCT
ejpam-6506	344	3	figure	figure	VERB
ejpam-6506	344	4	9	9	NUM
ejpam-6506	344	5	presents	present	VERB
ejpam-6506	344	6	the	the	DET
ejpam-6506	344	7	one	one	NUM
ejpam-6506	344	8	-	-	PUNCT
ejpam-6506	344	9	parameter	parameter	NOUN
ejpam-6506	344	10	diagrams	diagram	NOUN
ejpam-6506	344	11	with	with	ADP
ejpam-6506	344	12	varying	vary	VERB
ejpam-6506	344	13	step	step	NOUN
ejpam-6506	344	14	size	size	NOUN
ejpam-6506	344	15	h	h	NOUN
ejpam-6506	344	16	and	and	CCONJ
ejpam-6506	344	17	fixed	fix	VERB
ejpam-6506	344	18	a	a	DET
ejpam-6506	344	19	=	=	ADJ
ejpam-6506	344	20	1	1	NUM
ejpam-6506	344	21	.	.	PUNCT
ejpam-6506	345	1	the	the	DET
ejpam-6506	345	2	xmax	xmax	PROPN
ejpam-6506	345	3	map	map	NOUN
ejpam-6506	345	4	and	and	CCONJ
ejpam-6506	345	5	the	the	DET
ejpam-6506	345	6	lyapunov	lyapunov	ADJ
ejpam-6506	345	7	exponent	exponent	NOUN
ejpam-6506	345	8	corroborate	corroborate	VERB
ejpam-6506	345	9	each	each	DET
ejpam-6506	345	10	other	other	ADJ
ejpam-6506	345	11	,	,	PUNCT
ejpam-6506	345	12	illustrating	illustrate	VERB
ejpam-6506	345	13	how	how	SCONJ
ejpam-6506	345	14	decreasing	decrease	VERB
ejpam-6506	345	15	h	h	NOUN
ejpam-6506	345	16	affects	affect	VERB
ejpam-6506	345	17	the	the	DET
ejpam-6506	345	18	onset	onset	NOUN
ejpam-6506	345	19	of	of	ADP
ejpam-6506	345	20	complex	complex	ADJ
ejpam-6506	345	21	dynamics	dynamic	NOUN
ejpam-6506	345	22	.	.	PUNCT
ejpam-6506	346	1	this	this	DET
ejpam-6506	346	2	behavior	behavior	NOUN
ejpam-6506	346	3	parallels	parallel	VERB
ejpam-6506	346	4	the	the	DET
ejpam-6506	346	5	euler	euler	NOUN
ejpam-6506	346	6	scheme	scheme	NOUN
ejpam-6506	346	7	,	,	PUNCT
ejpam-6506	346	8	although	although	SCONJ
ejpam-6506	346	9	the	the	DET
ejpam-6506	346	10	nonstandard	nonstandard	ADJ
ejpam-6506	346	11	denominator	denominator	NOUN
ejpam-6506	346	12	delays	delay	VERB
ejpam-6506	346	13	the	the	DET
ejpam-6506	346	14	onset	onset	NOUN
ejpam-6506	346	15	of	of	ADP
ejpam-6506	346	16	spurious	spurious	ADJ
ejpam-6506	346	17	bifurcations	bifurcation	NOUN
ejpam-6506	346	18	.	.	PUNCT
ejpam-6506	347	1	two	two	NUM
ejpam-6506	347	2	-	-	PUNCT
ejpam-6506	347	3	parameter	parameter	NOUN
ejpam-6506	347	4	diagrams	diagram	NOUN
ejpam-6506	347	5	in	in	ADP
ejpam-6506	347	6	(	(	PUNCT
ejpam-6506	347	7	a	a	DET
ejpam-6506	347	8	,	,	PUNCT
ejpam-6506	347	9	h	h	NOUN
ejpam-6506	347	10	)	)	PUNCT
ejpam-6506	347	11	.	.	PUNCT
ejpam-6506	348	1	to	to	PART
ejpam-6506	348	2	explore	explore	VERB
ejpam-6506	348	3	the	the	DET
ejpam-6506	348	4	joint	joint	ADJ
ejpam-6506	348	5	influence	influence	NOUN
ejpam-6506	348	6	of	of	ADP
ejpam-6506	348	7	a	a	PRON
ejpam-6506	348	8	and	and	CCONJ
ejpam-6506	348	9	h	h	NOUN
ejpam-6506	348	10	,	,	PUNCT
ejpam-6506	348	11	figure	figure	VERB
ejpam-6506	348	12	10	10	NUM
ejpam-6506	348	13	shows	show	VERB
ejpam-6506	348	14	the	the	DET
ejpam-6506	348	15	two	two	NUM
ejpam-6506	348	16	-	-	PUNCT
ejpam-6506	348	17	parameter	parameter	NOUN
ejpam-6506	348	18	diagram	diagram	NOUN
ejpam-6506	348	19	based	base	VERB
ejpam-6506	348	20	on	on	ADP
ejpam-6506	348	21	xmax	xmax	PROPN
ejpam-6506	348	22	together	together	ADV
ejpam-6506	348	23	with	with	ADP
ejpam-6506	348	24	the	the	DET
ejpam-6506	348	25	corresponding	corresponding	ADJ
ejpam-6506	348	26	largest	large	ADJ
ejpam-6506	348	27	lyapunov	lyapunov	ADJ
ejpam-6506	348	28	exponent	exponent	NOUN
ejpam-6506	348	29	.	.	PUNCT
ejpam-6506	349	1	the	the	DET
ejpam-6506	349	2	peak	peak	NOUN
ejpam-6506	349	3	-	-	PUNCT
ejpam-6506	349	4	based	base	VERB
ejpam-6506	349	5	map	map	NOUN
ejpam-6506	349	6	organizes	organize	VERB
ejpam-6506	349	7	periodic	periodic	ADJ
ejpam-6506	349	8	windows	window	NOUN
ejpam-6506	349	9	and	and	CCONJ
ejpam-6506	349	10	thin	thin	ADJ
ejpam-6506	349	11	transition	transition	NOUN
ejpam-6506	349	12	bands	band	NOUN
ejpam-6506	349	13	,	,	PUNCT
ejpam-6506	349	14	whereas	whereas	SCONJ
ejpam-6506	349	15	the	the	DET
ejpam-6506	349	16	lyapunov	lyapunov	ADJ
ejpam-6506	349	17	map	map	NOUN
ejpam-6506	349	18	separates	separate	VERB
ejpam-6506	349	19	the	the	DET
ejpam-6506	349	20	stable	stable	ADJ
ejpam-6506	349	21	(	(	PUNCT
ejpam-6506	349	22	negative	negative	ADJ
ejpam-6506	349	23	)	)	PUNCT
ejpam-6506	349	24	and	and	CCONJ
ejpam-6506	349	25	chaotic	chaotic	ADJ
ejpam-6506	349	26	(	(	PUNCT
ejpam-6506	349	27	near	near	ADV
ejpam-6506	349	28	-	-	PUNCT
ejpam-6506	349	29	zero	zero	NUM
ejpam-6506	349	30	/	/	SYM
ejpam-6506	349	31	positive	positive	ADJ
ejpam-6506	349	32	)	)	PUNCT
ejpam-6506	349	33	regions	region	NOUN
ejpam-6506	349	34	.	.	PUNCT
ejpam-6506	350	1	compared	compare	VERB
ejpam-6506	350	2	with	with	ADP
ejpam-6506	350	3	the	the	DET
ejpam-6506	350	4	euler	euler	NOUN
ejpam-6506	350	5	case	case	NOUN
ejpam-6506	350	6	,	,	PUNCT
ejpam-6506	350	7	the	the	DET
ejpam-6506	350	8	stability	stability	NOUN
ejpam-6506	350	9	region	region	NOUN
ejpam-6506	350	10	of	of	ADP
ejpam-6506	350	11	e∗	e∗	PROPN
ejpam-6506	350	12	1	1	NUM
ejpam-6506	350	13	is	be	AUX
ejpam-6506	350	14	narrower	narrow	ADJ
ejpam-6506	350	15	and	and	CCONJ
ejpam-6506	350	16	e∗	e∗	PROPN
ejpam-6506	350	17	2	2	NUM
ejpam-6506	350	18	does	do	AUX
ejpam-6506	350	19	not	not	PART
ejpam-6506	350	20	exhibit	exhibit	VERB
ejpam-6506	350	21	a	a	DET
ejpam-6506	350	22	significant	significant	ADJ
ejpam-6506	350	23	stability	stability	NOUN
ejpam-6506	350	24	window	window	NOUN
ejpam-6506	350	25	.	.	PUNCT
ejpam-6506	351	1	m.	m.	PROPN
ejpam-6506	351	2	f.	f.	PROPN
ejpam-6506	351	3	ansori	ansori	PROPN
ejpam-6506	351	4	et	et	PROPN
ejpam-6506	351	5	al	al	PROPN
ejpam-6506	351	6	.	.	PUNCT
ejpam-6506	351	7	/	/	SYM
ejpam-6506	351	8	eur	eur	PROPN
ejpam-6506	351	9	.	.	PUNCT
ejpam-6506	352	1	j.	j.	PROPN
ejpam-6506	352	2	pure	pure	PROPN
ejpam-6506	352	3	appl	appl	PROPN
ejpam-6506	352	4	.	.	PROPN
ejpam-6506	352	5	math	math	PROPN
ejpam-6506	352	6	,	,	PUNCT
ejpam-6506	352	7	18	18	NUM
ejpam-6506	352	8	(	(	PUNCT
ejpam-6506	352	9	4	4	NUM
ejpam-6506	352	10	)	)	PUNCT
ejpam-6506	352	11	(	(	PUNCT
ejpam-6506	352	12	2025	2025	NUM
ejpam-6506	352	13	)	)	PUNCT
ejpam-6506	352	14	,	,	PUNCT
ejpam-6506	352	15	6506	6506	NUM
ejpam-6506	352	16	18	18	NUM
ejpam-6506	352	17	of	of	ADP
ejpam-6506	352	18	27	27	NUM
ejpam-6506	352	19	(	(	PUNCT
ejpam-6506	352	20	a	a	NOUN
ejpam-6506	352	21	)	)	PUNCT
ejpam-6506	352	22	(	(	PUNCT
ejpam-6506	352	23	b	b	X
ejpam-6506	352	24	)	)	PUNCT
ejpam-6506	352	25	figure	figure	NOUN
ejpam-6506	352	26	8	8	NUM
ejpam-6506	352	27	:	:	PUNCT
ejpam-6506	352	28	one	one	NUM
ejpam-6506	352	29	-	-	PUNCT
ejpam-6506	352	30	parameter	parameter	NOUN
ejpam-6506	352	31	bifurcation	bifurcation	NOUN
ejpam-6506	352	32	of	of	ADP
ejpam-6506	352	33	the	the	DET
ejpam-6506	352	34	nonstandard	nonstandard	ADJ
ejpam-6506	352	35	mickens	micken	NOUN
ejpam-6506	352	36	scheme	scheme	NOUN
ejpam-6506	352	37	with	with	ADP
ejpam-6506	352	38	respect	respect	NOUN
ejpam-6506	352	39	to	to	ADP
ejpam-6506	352	40	a	a	PRON
ejpam-6506	352	41	at	at	ADP
ejpam-6506	352	42	h	h	NOUN
ejpam-6506	352	43	=	=	NOUN
ejpam-6506	352	44	0.01	0.01	NUM
ejpam-6506	352	45	.	.	PUNCT
ejpam-6506	353	1	(	(	PUNCT
ejpam-6506	353	2	a	a	X
ejpam-6506	353	3	)	)	PUNCT
ejpam-6506	353	4	local	local	ADJ
ejpam-6506	353	5	maxima	maxima	NOUN
ejpam-6506	353	6	xmax	xmax	PROPN
ejpam-6506	353	7	after	after	ADP
ejpam-6506	353	8	discarding	discard	VERB
ejpam-6506	353	9	the	the	DET
ejpam-6506	353	10	transients	transient	NOUN
ejpam-6506	353	11	.	.	PUNCT
ejpam-6506	354	1	(	(	PUNCT
ejpam-6506	354	2	b	b	X
ejpam-6506	354	3	)	)	PUNCT
ejpam-6506	354	4	lyapunov	lyapunov	PROPN
ejpam-6506	354	5	spectrum	spectrum	NOUN
ejpam-6506	354	6	(	(	PUNCT
ejpam-6506	354	7	λ1	λ1	ADJ
ejpam-6506	354	8	,	,	PUNCT
ejpam-6506	354	9	λ2	λ2	PROPN
ejpam-6506	354	10	,	,	PUNCT
ejpam-6506	354	11	λ3	λ3	PROPN
ejpam-6506	354	12	)	)	PUNCT
ejpam-6506	354	13	,	,	PUNCT
ejpam-6506	354	14	confirming	confirm	VERB
ejpam-6506	354	15	regular	regular	ADJ
ejpam-6506	354	16	-	-	PUNCT
ejpam-6506	354	17	to	to	ADP
ejpam-6506	354	18	-	-	PUNCT
ejpam-6506	354	19	chaotic	chaotic	ADJ
ejpam-6506	354	20	transitions	transition	NOUN
ejpam-6506	354	21	,	,	PUNCT
ejpam-6506	354	22	where	where	SCONJ
ejpam-6506	354	23	positive	positive	ADJ
ejpam-6506	354	24	values	value	NOUN
ejpam-6506	354	25	of	of	ADP
ejpam-6506	354	26	λ1	λ1	PROPN
ejpam-6506	354	27	indicate	indicate	VERB
ejpam-6506	354	28	chaos	chaos	NOUN
ejpam-6506	354	29	,	,	PUNCT
ejpam-6506	354	30	while	while	SCONJ
ejpam-6506	354	31	negative	negative	ADJ
ejpam-6506	354	32	values	value	NOUN
ejpam-6506	354	33	correspond	correspond	VERB
ejpam-6506	354	34	to	to	ADP
ejpam-6506	354	35	periodic	periodic	ADJ
ejpam-6506	354	36	or	or	CCONJ
ejpam-6506	354	37	stable	stable	ADJ
ejpam-6506	354	38	regimes	regime	NOUN
ejpam-6506	354	39	.	.	PUNCT
ejpam-6506	355	1	each	each	DET
ejpam-6506	355	2	simulation	simulation	NOUN
ejpam-6506	355	3	used	use	VERB
ejpam-6506	355	4	40,000	40,000	NUM
ejpam-6506	355	5	iterations	iteration	NOUN
ejpam-6506	355	6	with	with	ADP
ejpam-6506	355	7	the	the	DET
ejpam-6506	355	8	first	first	ADJ
ejpam-6506	355	9	35,000	35,000	NUM
ejpam-6506	355	10	discarded	discard	VERB
ejpam-6506	355	11	as	as	ADP
ejpam-6506	355	12	transients	transient	NOUN
ejpam-6506	355	13	.	.	PUNCT
ejpam-6506	356	1	(	(	PUNCT
ejpam-6506	356	2	a	a	X
ejpam-6506	356	3	)	)	PUNCT
ejpam-6506	356	4	(	(	PUNCT
ejpam-6506	356	5	b	b	X
ejpam-6506	356	6	)	)	PUNCT
ejpam-6506	356	7	figure	figure	NOUN
ejpam-6506	356	8	10	10	NUM
ejpam-6506	356	9	:	:	PUNCT
ejpam-6506	356	10	two	two	NUM
ejpam-6506	356	11	-	-	PUNCT
ejpam-6506	356	12	parameter	parameter	NOUN
ejpam-6506	356	13	diagrams	diagram	NOUN
ejpam-6506	356	14	in	in	ADP
ejpam-6506	356	15	the	the	DET
ejpam-6506	356	16	(	(	PUNCT
ejpam-6506	356	17	a	a	PROPN
ejpam-6506	356	18	,	,	PUNCT
ejpam-6506	356	19	h	h	NOUN
ejpam-6506	356	20	)	)	PUNCT
ejpam-6506	356	21	plane	plane	NOUN
ejpam-6506	356	22	for	for	ADP
ejpam-6506	356	23	the	the	DET
ejpam-6506	356	24	nonstandard	nonstandard	ADJ
ejpam-6506	356	25	mickens	micken	NOUN
ejpam-6506	356	26	scheme	scheme	NOUN
ejpam-6506	356	27	.	.	PUNCT
ejpam-6506	357	1	(	(	PUNCT
ejpam-6506	357	2	a	a	X
ejpam-6506	357	3	)	)	PUNCT
ejpam-6506	357	4	map	map	NOUN
ejpam-6506	357	5	of	of	ADP
ejpam-6506	357	6	xmax	xmax	PROPN
ejpam-6506	357	7	:	:	PUNCT
ejpam-6506	358	1	the	the	DET
ejpam-6506	358	2	color	color	NOUN
ejpam-6506	358	3	bar	bar	NOUN
ejpam-6506	358	4	encodes	encode	VERB
ejpam-6506	358	5	the	the	DET
ejpam-6506	358	6	magnitude	magnitude	NOUN
ejpam-6506	358	7	of	of	ADP
ejpam-6506	358	8	local	local	ADJ
ejpam-6506	358	9	maxima	maxima	NOUN
ejpam-6506	358	10	,	,	PUNCT
ejpam-6506	358	11	where	where	SCONJ
ejpam-6506	358	12	different	different	ADJ
ejpam-6506	358	13	color	color	NOUN
ejpam-6506	358	14	bands	band	NOUN
ejpam-6506	358	15	correspond	correspond	VERB
ejpam-6506	358	16	to	to	ADP
ejpam-6506	358	17	different	different	ADJ
ejpam-6506	358	18	orbit	orbit	NOUN
ejpam-6506	358	19	periods	period	NOUN
ejpam-6506	358	20	,	,	PUNCT
ejpam-6506	358	21	and	and	CCONJ
ejpam-6506	358	22	black	black	ADJ
ejpam-6506	358	23	regions	region	NOUN
ejpam-6506	358	24	denote	denote	VERB
ejpam-6506	358	25	divergence	divergence	NOUN
ejpam-6506	358	26	.	.	PUNCT
ejpam-6506	359	1	the	the	DET
ejpam-6506	359	2	white	white	ADJ
ejpam-6506	359	3	regions	region	NOUN
ejpam-6506	359	4	indicate	indicate	VERB
ejpam-6506	359	5	either	either	DET
ejpam-6506	359	6	convergence	convergence	NOUN
ejpam-6506	359	7	to	to	ADP
ejpam-6506	359	8	a	a	DET
ejpam-6506	359	9	fixed	fix	VERB
ejpam-6506	359	10	point	point	NOUN
ejpam-6506	359	11	(	(	PUNCT
ejpam-6506	359	12	no	no	DET
ejpam-6506	359	13	oscillatory	oscillatory	ADJ
ejpam-6506	359	14	maxima	maxima	NOUN
ejpam-6506	359	15	recorded	record	VERB
ejpam-6506	359	16	)	)	PUNCT
ejpam-6506	359	17	or	or	CCONJ
ejpam-6506	359	18	parameter	parameter	NOUN
ejpam-6506	359	19	values	value	NOUN
ejpam-6506	359	20	where	where	SCONJ
ejpam-6506	359	21	no	no	DET
ejpam-6506	359	22	equilibrium	equilibrium	NOUN
ejpam-6506	359	23	exists	exist	VERB
ejpam-6506	359	24	(	(	PUNCT
ejpam-6506	359	25	for	for	ADP
ejpam-6506	359	26	a	a	DET
ejpam-6506	359	27	>	>	PRON
ejpam-6506	359	28	1/7.2	1/7.2	NUM
ejpam-6506	359	29	)	)	PUNCT
ejpam-6506	359	30	.	.	PUNCT
ejpam-6506	360	1	(	(	PUNCT
ejpam-6506	360	2	b	b	X
ejpam-6506	360	3	)	)	PUNCT
ejpam-6506	360	4	the	the	DET
ejpam-6506	360	5	largest	large	ADJ
ejpam-6506	360	6	lyapunov	lyapunov	ADJ
ejpam-6506	360	7	exponent	exponent	NOUN
ejpam-6506	360	8	map	map	NOUN
ejpam-6506	360	9	computed	compute	VERB
ejpam-6506	360	10	via	via	ADP
ejpam-6506	360	11	qr	qr	PROPN
ejpam-6506	360	12	decomposition	decomposition	NOUN
ejpam-6506	360	13	:	:	PUNCT
ejpam-6506	360	14	negative	negative	ADJ
ejpam-6506	360	15	values	value	NOUN
ejpam-6506	360	16	(	(	PUNCT
ejpam-6506	360	17	magenta	magenta	NOUN
ejpam-6506	360	18	shades	shade	NOUN
ejpam-6506	360	19	)	)	PUNCT
ejpam-6506	360	20	correspond	correspond	VERB
ejpam-6506	360	21	to	to	ADP
ejpam-6506	360	22	periodic	periodic	ADJ
ejpam-6506	360	23	or	or	CCONJ
ejpam-6506	360	24	stable	stable	ADJ
ejpam-6506	360	25	dynamics	dynamic	NOUN
ejpam-6506	360	26	,	,	PUNCT
ejpam-6506	360	27	whereas	whereas	SCONJ
ejpam-6506	360	28	positive	positive	ADJ
ejpam-6506	360	29	values	value	NOUN
ejpam-6506	360	30	(	(	PUNCT
ejpam-6506	360	31	green	green	ADJ
ejpam-6506	360	32	–	–	PUNCT
ejpam-6506	360	33	blue	blue	ADJ
ejpam-6506	360	34	shades	shade	NOUN
ejpam-6506	360	35	)	)	PUNCT
ejpam-6506	360	36	indicate	indicate	VERB
ejpam-6506	360	37	chaotic	chaotic	ADJ
ejpam-6506	360	38	regimes	regime	NOUN
ejpam-6506	360	39	.	.	PUNCT
ejpam-6506	361	1	each	each	DET
ejpam-6506	361	2	grid	grid	NOUN
ejpam-6506	361	3	point	point	NOUN
ejpam-6506	361	4	was	be	AUX
ejpam-6506	361	5	iterated	iterate	VERB
ejpam-6506	361	6	for	for	ADP
ejpam-6506	361	7	40,000	40,000	NUM
ejpam-6506	361	8	steps	step	NOUN
ejpam-6506	361	9	with	with	ADP
ejpam-6506	361	10	the	the	DET
ejpam-6506	361	11	first	first	ADJ
ejpam-6506	361	12	35,000	35,000	NUM
ejpam-6506	361	13	discarded	discard	VERB
ejpam-6506	361	14	as	as	ADP
ejpam-6506	361	15	transients	transient	NOUN
ejpam-6506	361	16	.	.	PUNCT
ejpam-6506	362	1	m.	m.	PROPN
ejpam-6506	362	2	f.	f.	PROPN
ejpam-6506	362	3	ansori	ansori	PROPN
ejpam-6506	362	4	et	et	PROPN
ejpam-6506	362	5	al	al	PROPN
ejpam-6506	362	6	.	.	PUNCT
ejpam-6506	362	7	/	/	SYM
ejpam-6506	362	8	eur	eur	PROPN
ejpam-6506	362	9	.	.	PUNCT
ejpam-6506	363	1	j.	j.	PROPN
ejpam-6506	363	2	pure	pure	PROPN
ejpam-6506	363	3	appl	appl	PROPN
ejpam-6506	363	4	.	.	PROPN
ejpam-6506	363	5	math	math	PROPN
ejpam-6506	363	6	,	,	PUNCT
ejpam-6506	363	7	18	18	NUM
ejpam-6506	363	8	(	(	PUNCT
ejpam-6506	363	9	4	4	NUM
ejpam-6506	363	10	)	)	PUNCT
ejpam-6506	363	11	(	(	PUNCT
ejpam-6506	363	12	2025	2025	NUM
ejpam-6506	363	13	)	)	PUNCT
ejpam-6506	363	14	,	,	PUNCT
ejpam-6506	363	15	6506	6506	NUM
ejpam-6506	363	16	19	19	NUM
ejpam-6506	363	17	of	of	ADP
ejpam-6506	363	18	27	27	NUM
ejpam-6506	363	19	(	(	PUNCT
ejpam-6506	363	20	a	a	NOUN
ejpam-6506	363	21	)	)	PUNCT
ejpam-6506	363	22	(	(	PUNCT
ejpam-6506	363	23	b	b	X
ejpam-6506	363	24	)	)	PUNCT
ejpam-6506	363	25	figure	figure	NOUN
ejpam-6506	363	26	9	9	NUM
ejpam-6506	363	27	:	:	PUNCT
ejpam-6506	363	28	one	one	NUM
ejpam-6506	363	29	-	-	PUNCT
ejpam-6506	363	30	parameter	parameter	NOUN
ejpam-6506	363	31	bifurcation	bifurcation	NOUN
ejpam-6506	363	32	of	of	ADP
ejpam-6506	363	33	the	the	DET
ejpam-6506	363	34	nonstandard	nonstandard	ADJ
ejpam-6506	363	35	mickens	micken	NOUN
ejpam-6506	363	36	scheme	scheme	NOUN
ejpam-6506	363	37	with	with	ADP
ejpam-6506	363	38	respect	respect	NOUN
ejpam-6506	363	39	to	to	ADP
ejpam-6506	363	40	h	h	NOUN
ejpam-6506	363	41	at	at	ADP
ejpam-6506	363	42	a	a	DET
ejpam-6506	363	43	=	=	ADJ
ejpam-6506	363	44	1	1	NUM
ejpam-6506	363	45	.	.	PUNCT
ejpam-6506	364	1	(	(	PUNCT
ejpam-6506	364	2	a	a	X
ejpam-6506	364	3	)	)	PUNCT
ejpam-6506	364	4	local	local	ADJ
ejpam-6506	364	5	maxima	maxima	NOUN
ejpam-6506	364	6	xmax	xmax	PROPN
ejpam-6506	364	7	after	after	ADP
ejpam-6506	364	8	discarding	discard	VERB
ejpam-6506	364	9	the	the	DET
ejpam-6506	364	10	transients	transient	NOUN
ejpam-6506	364	11	.	.	PUNCT
ejpam-6506	365	1	(	(	PUNCT
ejpam-6506	365	2	b	b	X
ejpam-6506	365	3	)	)	PUNCT
ejpam-6506	365	4	lyapunov	lyapunov	PROPN
ejpam-6506	365	5	spectrum	spectrum	NOUN
ejpam-6506	365	6	(	(	PUNCT
ejpam-6506	365	7	λ1	λ1	ADJ
ejpam-6506	365	8	,	,	PUNCT
ejpam-6506	365	9	λ2	λ2	PROPN
ejpam-6506	365	10	,	,	PUNCT
ejpam-6506	365	11	λ3	λ3	PROPN
ejpam-6506	365	12	)	)	PUNCT
ejpam-6506	365	13	,	,	PUNCT
ejpam-6506	365	14	where	where	SCONJ
ejpam-6506	365	15	positive	positive	ADJ
ejpam-6506	365	16	values	value	NOUN
ejpam-6506	365	17	of	of	ADP
ejpam-6506	365	18	λ1	λ1	PROPN
ejpam-6506	365	19	indicate	indicate	VERB
ejpam-6506	365	20	chaos	chaos	NOUN
ejpam-6506	365	21	,	,	PUNCT
ejpam-6506	365	22	and	and	CCONJ
ejpam-6506	365	23	negative	negative	ADJ
ejpam-6506	365	24	values	value	NOUN
ejpam-6506	365	25	correspond	correspond	VERB
ejpam-6506	365	26	to	to	ADP
ejpam-6506	365	27	periodic	periodic	ADJ
ejpam-6506	365	28	or	or	CCONJ
ejpam-6506	365	29	stable	stable	ADJ
ejpam-6506	365	30	dynamics	dynamic	NOUN
ejpam-6506	365	31	.	.	PUNCT
ejpam-6506	366	1	each	each	DET
ejpam-6506	366	2	simulation	simulation	NOUN
ejpam-6506	366	3	used	use	VERB
ejpam-6506	366	4	40,000	40,000	NUM
ejpam-6506	366	5	iterations	iteration	NOUN
ejpam-6506	366	6	with	with	ADP
ejpam-6506	366	7	the	the	DET
ejpam-6506	366	8	first	first	ADJ
ejpam-6506	366	9	35,000	35,000	NUM
ejpam-6506	366	10	discarded	discard	VERB
ejpam-6506	366	11	as	as	ADP
ejpam-6506	366	12	transients	transient	NOUN
ejpam-6506	366	13	.	.	PUNCT
ejpam-6506	367	1	attractor	attractor	NOUN
ejpam-6506	367	2	dimension	dimension	NOUN
ejpam-6506	367	3	.	.	PUNCT
ejpam-6506	368	1	the	the	DET
ejpam-6506	368	2	kaplan	kaplan	PROPN
ejpam-6506	368	3	–	–	PUNCT
ejpam-6506	368	4	yorke	yorke	PROPN
ejpam-6506	368	5	(	(	PUNCT
ejpam-6506	368	6	ky	ky	PROPN
ejpam-6506	368	7	)	)	PUNCT
ejpam-6506	368	8	dimension	dimension	NOUN
ejpam-6506	368	9	was	be	AUX
ejpam-6506	368	10	computed	compute	VERB
ejpam-6506	368	11	for	for	ADP
ejpam-6506	368	12	the	the	DET
ejpam-6506	368	13	mickens	micken	NOUN
ejpam-6506	368	14	scheme	scheme	NOUN
ejpam-6506	368	15	,	,	PUNCT
ejpam-6506	368	16	using	use	VERB
ejpam-6506	368	17	the	the	DET
ejpam-6506	368	18	same	same	ADJ
ejpam-6506	368	19	procedure	procedure	NOUN
ejpam-6506	368	20	described	describe	VERB
ejpam-6506	368	21	in	in	ADP
ejpam-6506	368	22	the	the	DET
ejpam-6506	368	23	euler	euler	NOUN
ejpam-6506	368	24	case	case	NOUN
ejpam-6506	368	25	.	.	PUNCT
ejpam-6506	369	1	figure	figure	NOUN
ejpam-6506	369	2	11	11	NUM
ejpam-6506	369	3	shows	show	VERB
ejpam-6506	369	4	that	that	SCONJ
ejpam-6506	369	5	dky	dky	VERB
ejpam-6506	369	6	=	=	NOUN
ejpam-6506	369	7	0	0	NUM
ejpam-6506	369	8	when	when	SCONJ
ejpam-6506	369	9	the	the	DET
ejpam-6506	369	10	trajectories	trajectory	NOUN
ejpam-6506	369	11	converge	converge	VERB
ejpam-6506	369	12	to	to	ADP
ejpam-6506	369	13	equilibrium	equilibrium	NOUN
ejpam-6506	369	14	and	and	CCONJ
ejpam-6506	369	15	integer	integer	NOUN
ejpam-6506	369	16	values	value	NOUN
ejpam-6506	369	17	(	(	PUNCT
ejpam-6506	369	18	1	1	NUM
ejpam-6506	369	19	,	,	PUNCT
ejpam-6506	369	20	2	2	NUM
ejpam-6506	369	21	)	)	PUNCT
ejpam-6506	369	22	for	for	ADP
ejpam-6506	369	23	periodic	periodic	ADJ
ejpam-6506	369	24	orbits	orbit	NOUN
ejpam-6506	369	25	,	,	PUNCT
ejpam-6506	369	26	as	as	SCONJ
ejpam-6506	369	27	also	also	ADV
ejpam-6506	369	28	seen	see	VERB
ejpam-6506	369	29	in	in	ADP
ejpam-6506	369	30	the	the	DET
ejpam-6506	369	31	bifurcation	bifurcation	NOUN
ejpam-6506	369	32	diagrams	diagram	NOUN
ejpam-6506	369	33	.	.	PUNCT
ejpam-6506	370	1	occasionally	occasionally	ADV
ejpam-6506	370	2	,	,	PUNCT
ejpam-6506	370	3	intermediate	intermediate	ADJ
ejpam-6506	370	4	non	non	ADJ
ejpam-6506	370	5	-	-	ADJ
ejpam-6506	370	6	integer	integer	ADJ
ejpam-6506	370	7	values	value	NOUN
ejpam-6506	370	8	between	between	ADP
ejpam-6506	370	9	1	1	NUM
ejpam-6506	370	10	and	and	CCONJ
ejpam-6506	370	11	2	2	NUM
ejpam-6506	370	12	appear	appear	VERB
ejpam-6506	370	13	,	,	PUNCT
ejpam-6506	370	14	corresponding	correspond	VERB
ejpam-6506	370	15	to	to	ADP
ejpam-6506	370	16	quasiperiodic	quasiperiodic	ADJ
ejpam-6506	370	17	or	or	CCONJ
ejpam-6506	370	18	transition	transition	NOUN
ejpam-6506	370	19	states	state	NOUN
ejpam-6506	370	20	.	.	PUNCT
ejpam-6506	371	1	fully	fully	ADV
ejpam-6506	371	2	chaotic	chaotic	ADJ
ejpam-6506	371	3	regimes	regime	NOUN
ejpam-6506	371	4	are	be	AUX
ejpam-6506	371	5	characterized	characterize	VERB
ejpam-6506	371	6	by	by	ADP
ejpam-6506	371	7	2	2	NUM
ejpam-6506	371	8	<	<	X
ejpam-6506	371	9	dky	dky	X
ejpam-6506	371	10	<	<	X
ejpam-6506	371	11	3	3	NUM
ejpam-6506	371	12	,	,	PUNCT
ejpam-6506	371	13	which	which	PRON
ejpam-6506	371	14	is	be	AUX
ejpam-6506	371	15	consistent	consistent	ADJ
ejpam-6506	371	16	with	with	ADP
ejpam-6506	371	17	the	the	DET
ejpam-6506	371	18	positive	positive	ADJ
ejpam-6506	371	19	lyapunov	lyapunov	ADJ
ejpam-6506	371	20	exponents	exponent	NOUN
ejpam-6506	371	21	and	and	CCONJ
ejpam-6506	371	22	broadband	broadband	NOUN
ejpam-6506	371	23	bifurcation	bifurcation	NOUN
ejpam-6506	371	24	structures	structure	NOUN
ejpam-6506	371	25	.	.	PUNCT
ejpam-6506	372	1	the	the	DET
ejpam-6506	372	2	results	result	NOUN
ejpam-6506	372	3	closely	closely	ADV
ejpam-6506	372	4	mirror	mirror	VERB
ejpam-6506	372	5	those	those	PRON
ejpam-6506	372	6	of	of	ADP
ejpam-6506	372	7	the	the	DET
ejpam-6506	372	8	euler	euler	PROPN
ejpam-6506	372	9	scheme	scheme	NOUN
ejpam-6506	372	10	,	,	PUNCT
ejpam-6506	372	11	with	with	ADP
ejpam-6506	372	12	both	both	PRON
ejpam-6506	372	13	giving	give	VERB
ejpam-6506	372	14	dky	dky	NOUN
ejpam-6506	372	15	=	=	SYM
ejpam-6506	372	16	0	0	NUM
ejpam-6506	372	17	in	in	ADP
ejpam-6506	372	18	stable	stable	ADJ
ejpam-6506	372	19	equilibrium	equilibrium	NOUN
ejpam-6506	372	20	,	,	PUNCT
ejpam-6506	372	21	integer	integer	NOUN
ejpam-6506	372	22	values	value	NOUN
ejpam-6506	372	23	for	for	ADP
ejpam-6506	372	24	periodic	periodic	ADJ
ejpam-6506	372	25	dynamics	dynamic	NOUN
ejpam-6506	372	26	,	,	PUNCT
ejpam-6506	372	27	1	1	NUM
ejpam-6506	372	28	<	<	X
ejpam-6506	372	29	dky	dky	X
ejpam-6506	372	30	<	<	X
ejpam-6506	372	31	2	2	NUM
ejpam-6506	372	32	in	in	ADP
ejpam-6506	372	33	quasiperiodic	quasiperiodic	ADJ
ejpam-6506	372	34	regimes	regime	NOUN
ejpam-6506	372	35	,	,	PUNCT
ejpam-6506	372	36	and	and	CCONJ
ejpam-6506	372	37	2	2	NUM
ejpam-6506	372	38	<	<	NOUN
ejpam-6506	372	39	dky	dky	X
ejpam-6506	372	40	<	<	X
ejpam-6506	372	41	3	3	NUM
ejpam-6506	372	42	in	in	ADP
ejpam-6506	372	43	chaotic	chaotic	ADJ
ejpam-6506	372	44	regimes	regime	NOUN
ejpam-6506	372	45	.	.	PUNCT
ejpam-6506	373	1	representative	representative	ADJ
ejpam-6506	373	2	phase	phase	NOUN
ejpam-6506	373	3	portraits	portrait	NOUN
ejpam-6506	373	4	.	.	PUNCT
ejpam-6506	374	1	figure	figure	NOUN
ejpam-6506	374	2	12	12	NUM
ejpam-6506	374	3	shows	show	VERB
ejpam-6506	374	4	the	the	DET
ejpam-6506	374	5	typical	typical	ADJ
ejpam-6506	374	6	phase	phase	NOUN
ejpam-6506	374	7	portraits	portrait	NOUN
ejpam-6506	374	8	for	for	ADP
ejpam-6506	374	9	h	h	NOUN
ejpam-6506	374	10	=	=	NOUN
ejpam-6506	374	11	0.01	0.01	NUM
ejpam-6506	374	12	and	and	CCONJ
ejpam-6506	374	13	the	the	DET
ejpam-6506	374	14	initial	initial	ADJ
ejpam-6506	374	15	condition	condition	NOUN
ejpam-6506	374	16	(	(	PUNCT
ejpam-6506	374	17	0	0	NUM
ejpam-6506	374	18	,	,	PUNCT
ejpam-6506	374	19	1.6	1.6	NUM
ejpam-6506	374	20	,	,	PUNCT
ejpam-6506	374	21	3	3	NUM
ejpam-6506	374	22	)	)	PUNCT
ejpam-6506	374	23	.	.	PUNCT
ejpam-6506	375	1	for	for	ADP
ejpam-6506	375	2	a	a	DET
ejpam-6506	375	3	=	=	NOUN
ejpam-6506	375	4	−2	−2	NOUN
ejpam-6506	375	5	trajectories	trajectory	NOUN
ejpam-6506	375	6	converge	converge	VERB
ejpam-6506	375	7	to	to	ADP
ejpam-6506	375	8	a	a	DET
ejpam-6506	375	9	stable	stable	ADJ
ejpam-6506	375	10	equilibrium	equilibrium	NOUN
ejpam-6506	375	11	,	,	PUNCT
ejpam-6506	375	12	whereas	whereas	SCONJ
ejpam-6506	375	13	for	for	SCONJ
ejpam-6506	375	14	a	a	DET
ejpam-6506	375	15	=	=	SYM
ejpam-6506	375	16	1	1	NUM
ejpam-6506	375	17	a	a	DET
ejpam-6506	375	18	chaotic	chaotic	ADJ
ejpam-6506	375	19	attractor	attractor	NOUN
ejpam-6506	375	20	emerges	emerge	NOUN
ejpam-6506	375	21	,	,	PUNCT
ejpam-6506	375	22	closely	closely	ADV
ejpam-6506	375	23	mirroring	mirror	VERB
ejpam-6506	375	24	the	the	DET
ejpam-6506	375	25	standard	standard	ADJ
ejpam-6506	375	26	scheme	scheme	NOUN
ejpam-6506	375	27	with	with	ADP
ejpam-6506	375	28	minor	minor	ADJ
ejpam-6506	375	29	differences	difference	NOUN
ejpam-6506	375	30	in	in	ADP
ejpam-6506	375	31	the	the	DET
ejpam-6506	375	32	chaotic	chaotic	ADJ
ejpam-6506	375	33	regime	regime	NOUN
ejpam-6506	375	34	.	.	PUNCT
ejpam-6506	376	1	the	the	DET
ejpam-6506	376	2	attractor	attractor	NOUN
ejpam-6506	376	3	geometry	geometry	NOUN
ejpam-6506	376	4	appears	appear	VERB
ejpam-6506	376	5	slightly	slightly	ADV
ejpam-6506	376	6	sharper	sharp	ADJ
ejpam-6506	376	7	than	than	ADP
ejpam-6506	376	8	in	in	ADP
ejpam-6506	376	9	euler	euler	NOUN
ejpam-6506	376	10	due	due	ADP
ejpam-6506	376	11	to	to	ADP
ejpam-6506	376	12	the	the	DET
ejpam-6506	376	13	rational	rational	ADJ
ejpam-6506	376	14	structure	structure	NOUN
ejpam-6506	376	15	of	of	ADP
ejpam-6506	376	16	the	the	DET
ejpam-6506	376	17	discretization	discretization	NOUN
ejpam-6506	376	18	.	.	PUNCT
ejpam-6506	377	1	comparison	comparison	NOUN
ejpam-6506	377	2	with	with	ADP
ejpam-6506	377	3	the	the	DET
ejpam-6506	377	4	continuous	continuous	ADJ
ejpam-6506	377	5	system	system	NOUN
ejpam-6506	377	6	.	.	PUNCT
ejpam-6506	378	1	finally	finally	ADV
ejpam-6506	378	2	,	,	PUNCT
ejpam-6506	378	3	figure	figure	VERB
ejpam-6506	378	4	13	13	NUM
ejpam-6506	378	5	compares	compare	VERB
ejpam-6506	378	6	the	the	DET
ejpam-6506	378	7	xmaxbased	xmaxbased	ADJ
ejpam-6506	378	8	bifurcation	bifurcation	NOUN
ejpam-6506	378	9	curves	curve	NOUN
ejpam-6506	378	10	of	of	ADP
ejpam-6506	378	11	the	the	DET
ejpam-6506	378	12	continuous	continuous	ADJ
ejpam-6506	378	13	system	system	NOUN
ejpam-6506	378	14	(	(	PUNCT
ejpam-6506	378	15	black	black	ADJ
ejpam-6506	378	16	,	,	PUNCT
ejpam-6506	378	17	ode45	ode45	NOUN
ejpam-6506	378	18	)	)	PUNCT
ejpam-6506	378	19	with	with	ADP
ejpam-6506	378	20	the	the	DET
ejpam-6506	378	21	standard	standard	PROPN
ejpam-6506	378	22	euler	euler	PROPN
ejpam-6506	378	23	(	(	PUNCT
ejpam-6506	378	24	red	red	PROPN
ejpam-6506	378	25	)	)	PUNCT
ejpam-6506	378	26	and	and	CCONJ
ejpam-6506	378	27	mickens	micken	VERB
ejpam-6506	378	28	non	non	ADJ
ejpam-6506	378	29	-	-	ADJ
ejpam-6506	378	30	standard	standard	ADJ
ejpam-6506	378	31	(	(	PUNCT
ejpam-6506	378	32	blue	blue	ADJ
ejpam-6506	378	33	)	)	PUNCT
ejpam-6506	378	34	discretizations	discretization	NOUN
ejpam-6506	378	35	at	at	ADP
ejpam-6506	378	36	h	h	NOUN
ejpam-6506	378	37	=	=	NOUN
ejpam-6506	378	38	0.01	0.01	NUM
ejpam-6506	378	39	.	.	PUNCT
ejpam-6506	379	1	for	for	ADP
ejpam-6506	379	2	a	a	DET
ejpam-6506	379	3	<	<	X
ejpam-6506	379	4	0	0	NUM
ejpam-6506	379	5	the	the	DET
ejpam-6506	379	6	three	three	NUM
ejpam-6506	379	7	agree	agree	VERB
ejpam-6506	379	8	closely	closely	ADV
ejpam-6506	379	9	;	;	PUNCT
ejpam-6506	379	10	near	near	ADP
ejpam-6506	379	11	the	the	DET
ejpam-6506	379	12	transition	transition	NOUN
ejpam-6506	379	13	around	around	ADP
ejpam-6506	379	14	a	a	DET
ejpam-6506	379	15	≈	≈	PROPN
ejpam-6506	379	16	1	1	NUM
ejpam-6506	379	17	both	both	DET
ejpam-6506	379	18	discretizations	discretization	NOUN
ejpam-6506	379	19	capture	capture	VERB
ejpam-6506	379	20	the	the	DET
ejpam-6506	379	21	onset	onset	NOUN
ejpam-6506	379	22	of	of	ADP
ejpam-6506	379	23	m.	m.	PROPN
ejpam-6506	379	24	f.	f.	PROPN
ejpam-6506	379	25	ansori	ansori	PROPN
ejpam-6506	379	26	et	et	PROPN
ejpam-6506	379	27	al	al	PROPN
ejpam-6506	379	28	.	.	PUNCT
ejpam-6506	379	29	/	/	SYM
ejpam-6506	379	30	eur	eur	PROPN
ejpam-6506	379	31	.	.	PUNCT
ejpam-6506	380	1	j.	j.	PROPN
ejpam-6506	380	2	pure	pure	PROPN
ejpam-6506	380	3	appl	appl	PROPN
ejpam-6506	380	4	.	.	PROPN
ejpam-6506	380	5	math	math	PROPN
ejpam-6506	380	6	,	,	PUNCT
ejpam-6506	380	7	18	18	NUM
ejpam-6506	380	8	(	(	PUNCT
ejpam-6506	380	9	4	4	NUM
ejpam-6506	380	10	)	)	PUNCT
ejpam-6506	380	11	(	(	PUNCT
ejpam-6506	380	12	2025	2025	NUM
ejpam-6506	380	13	)	)	PUNCT
ejpam-6506	380	14	,	,	PUNCT
ejpam-6506	380	15	6506	6506	NUM
ejpam-6506	380	16	20	20	NUM
ejpam-6506	380	17	of	of	ADP
ejpam-6506	380	18	27	27	NUM
ejpam-6506	380	19	(	(	PUNCT
ejpam-6506	380	20	a	a	NOUN
ejpam-6506	380	21	)	)	PUNCT
ejpam-6506	380	22	dky	dky	NOUN
ejpam-6506	380	23	vs.	vs.	ADP
ejpam-6506	380	24	a	a	PRON
ejpam-6506	380	25	at	at	ADP
ejpam-6506	380	26	fixed	fix	VERB
ejpam-6506	380	27	h	h	NOUN
ejpam-6506	380	28	=	=	NOUN
ejpam-6506	380	29	0.01	0.01	NUM
ejpam-6506	380	30	(	(	PUNCT
ejpam-6506	380	31	b	b	NOUN
ejpam-6506	380	32	)	)	PUNCT
ejpam-6506	380	33	dky	dky	NOUN
ejpam-6506	380	34	vs.	vs.	ADP
ejpam-6506	380	35	h	h	NOUN
ejpam-6506	380	36	at	at	ADP
ejpam-6506	380	37	fixed	fix	VERB
ejpam-6506	380	38	a	a	DET
ejpam-6506	380	39	=	=	SYM
ejpam-6506	380	40	1	1	NUM
ejpam-6506	380	41	figure	figure	NOUN
ejpam-6506	380	42	11	11	NUM
ejpam-6506	380	43	:	:	PUNCT
ejpam-6506	380	44	kaplan	kaplan	PROPN
ejpam-6506	380	45	–	–	PUNCT
ejpam-6506	380	46	yorke	yorke	PROPN
ejpam-6506	380	47	dimension	dimension	PROPN
ejpam-6506	380	48	dky	dky	PROPN
ejpam-6506	380	49	for	for	ADP
ejpam-6506	380	50	the	the	DET
ejpam-6506	380	51	nonstandard	nonstandard	ADJ
ejpam-6506	380	52	mickens	micken	NOUN
ejpam-6506	380	53	discretization	discretization	NOUN
ejpam-6506	380	54	.	.	PUNCT
ejpam-6506	381	1	(	(	PUNCT
ejpam-6506	381	2	a	a	X
ejpam-6506	381	3	)	)	PUNCT
ejpam-6506	381	4	variation	variation	NOUN
ejpam-6506	381	5	of	of	ADP
ejpam-6506	381	6	dky	dky	NOUN
ejpam-6506	381	7	with	with	ADP
ejpam-6506	381	8	parameter	parameter	NOUN
ejpam-6506	381	9	a	a	PRON
ejpam-6506	381	10	at	at	ADP
ejpam-6506	381	11	fixed	fix	VERB
ejpam-6506	381	12	h	h	NOUN
ejpam-6506	381	13	=	=	NOUN
ejpam-6506	381	14	0.01	0.01	NUM
ejpam-6506	381	15	.	.	PUNCT
ejpam-6506	382	1	(	(	PUNCT
ejpam-6506	382	2	b	b	X
ejpam-6506	382	3	)	)	PUNCT
ejpam-6506	382	4	variation	variation	NOUN
ejpam-6506	382	5	in	in	ADP
ejpam-6506	382	6	dky	dky	NOUN
ejpam-6506	382	7	with	with	ADP
ejpam-6506	382	8	step	step	NOUN
ejpam-6506	382	9	size	size	NOUN
ejpam-6506	382	10	h	h	NOUN
ejpam-6506	382	11	at	at	ADP
ejpam-6506	382	12	a	a	DET
ejpam-6506	382	13	fixed	fixed	ADJ
ejpam-6506	382	14	a	a	PRON
ejpam-6506	382	15	=	=	SYM
ejpam-6506	382	16	1	1	X
ejpam-6506	382	17	.	.	PUNCT
ejpam-6506	382	18	stable	stable	ADJ
ejpam-6506	382	19	equilibria	equilibrium	NOUN
ejpam-6506	382	20	give	give	VERB
ejpam-6506	382	21	dky	dky	PRON
ejpam-6506	382	22	≈	≈	PROPN
ejpam-6506	382	23	0	0	NUM
ejpam-6506	382	24	,	,	PUNCT
ejpam-6506	382	25	periodic	periodic	ADJ
ejpam-6506	382	26	orbits	orbit	NOUN
ejpam-6506	382	27	yield	yield	VERB
ejpam-6506	382	28	integer	integer	NOUN
ejpam-6506	382	29	values	value	NOUN
ejpam-6506	382	30	(	(	PUNCT
ejpam-6506	382	31	e.g.	e.g.	ADV
ejpam-6506	382	32	,	,	PUNCT
ejpam-6506	382	33	dky	dky	NOUN
ejpam-6506	382	34	=	=	SYM
ejpam-6506	382	35	1	1	NUM
ejpam-6506	382	36	,	,	PUNCT
ejpam-6506	382	37	2	2	NUM
ejpam-6506	382	38	)	)	PUNCT
ejpam-6506	382	39	,	,	PUNCT
ejpam-6506	382	40	and	and	CCONJ
ejpam-6506	382	41	chaotic	chaotic	ADJ
ejpam-6506	382	42	regimes	regime	NOUN
ejpam-6506	382	43	are	be	AUX
ejpam-6506	382	44	characterized	characterize	VERB
ejpam-6506	382	45	by	by	ADP
ejpam-6506	382	46	non	non	ADJ
ejpam-6506	382	47	-	-	ADJ
ejpam-6506	382	48	integer	integer	ADJ
ejpam-6506	382	49	values	value	NOUN
ejpam-6506	382	50	2	2	NUM
ejpam-6506	382	51	<	<	X
ejpam-6506	382	52	dky	dky	X
ejpam-6506	382	53	<	<	X
ejpam-6506	382	54	3	3	NUM
ejpam-6506	382	55	.	.	PUNCT
ejpam-6506	383	1	each	each	DET
ejpam-6506	383	2	computation	computation	NOUN
ejpam-6506	383	3	was	be	AUX
ejpam-6506	383	4	performed	perform	VERB
ejpam-6506	383	5	with	with	ADP
ejpam-6506	383	6	40,000	40,000	NUM
ejpam-6506	383	7	iterations	iteration	NOUN
ejpam-6506	383	8	after	after	ADP
ejpam-6506	383	9	discarding	discard	VERB
ejpam-6506	383	10	the	the	DET
ejpam-6506	383	11	first	first	ADJ
ejpam-6506	383	12	35,000	35,000	NUM
ejpam-6506	383	13	transients	transient	NOUN
ejpam-6506	383	14	.	.	PUNCT
ejpam-6506	384	1	complex	complex	ADJ
ejpam-6506	384	2	dynamics	dynamic	NOUN
ejpam-6506	384	3	with	with	ADP
ejpam-6506	384	4	small	small	ADJ
ejpam-6506	384	5	amplitude	amplitude	NOUN
ejpam-6506	384	6	biases	bias	NOUN
ejpam-6506	384	7	relative	relative	ADJ
ejpam-6506	384	8	to	to	ADP
ejpam-6506	384	9	the	the	DET
ejpam-6506	384	10	continuous	continuous	ADJ
ejpam-6506	384	11	case	case	NOUN
ejpam-6506	384	12	;	;	PUNCT
ejpam-6506	384	13	for	for	ADP
ejpam-6506	384	14	a	a	PRON
ejpam-6506	384	15	>	>	SYM
ejpam-6506	384	16	1	1	NUM
ejpam-6506	384	17	all	all	DET
ejpam-6506	384	18	three	three	NUM
ejpam-6506	384	19	show	show	VERB
ejpam-6506	384	20	a	a	DET
ejpam-6506	384	21	chaotic	chaotic	ADJ
ejpam-6506	384	22	spread	spread	NOUN
ejpam-6506	384	23	,	,	PUNCT
ejpam-6506	384	24	with	with	ADP
ejpam-6506	384	25	the	the	DET
ejpam-6506	384	26	non	non	ADJ
ejpam-6506	384	27	-	-	ADJ
ejpam-6506	384	28	standard	standard	ADJ
ejpam-6506	384	29	scheme	scheme	NOUN
ejpam-6506	384	30	,	,	PUNCT
ejpam-6506	384	31	producing	produce	VERB
ejpam-6506	384	32	broader	broad	ADJ
ejpam-6506	384	33	chaotic	chaotic	ADJ
ejpam-6506	384	34	bands	band	NOUN
ejpam-6506	384	35	while	while	SCONJ
ejpam-6506	384	36	maintaining	maintain	VERB
ejpam-6506	384	37	the	the	DET
ejpam-6506	384	38	qualitative	qualitative	ADJ
ejpam-6506	384	39	structure	structure	NOUN
ejpam-6506	384	40	.	.	PUNCT
ejpam-6506	385	1	in	in	ADP
ejpam-6506	385	2	addition	addition	NOUN
ejpam-6506	385	3	to	to	ADP
ejpam-6506	385	4	the	the	DET
ejpam-6506	385	5	comparison	comparison	NOUN
ejpam-6506	385	6	with	with	ADP
ejpam-6506	385	7	the	the	DET
ejpam-6506	385	8	continuous	continuous	ADJ
ejpam-6506	385	9	system	system	NOUN
ejpam-6506	385	10	,	,	PUNCT
ejpam-6506	385	11	it	it	PRON
ejpam-6506	385	12	is	be	AUX
ejpam-6506	385	13	useful	useful	ADJ
ejpam-6506	385	14	to	to	PART
ejpam-6506	385	15	highlight	highlight	VERB
ejpam-6506	385	16	the	the	DET
ejpam-6506	385	17	direct	direct	ADJ
ejpam-6506	385	18	differences	difference	NOUN
ejpam-6506	385	19	between	between	ADP
ejpam-6506	385	20	the	the	DET
ejpam-6506	385	21	euler	euler	NOUN
ejpam-6506	385	22	and	and	CCONJ
ejpam-6506	385	23	mickens	mickens	PROPN
ejpam-6506	385	24	discretizations	discretization	NOUN
ejpam-6506	385	25	,	,	PUNCT
ejpam-6506	385	26	which	which	PRON
ejpam-6506	385	27	are	be	AUX
ejpam-6506	385	28	reported	report	VERB
ejpam-6506	385	29	in	in	ADP
ejpam-6506	385	30	table	table	NOUN
ejpam-6506	385	31	1	1	NUM
ejpam-6506	385	32	.	.	PUNCT
ejpam-6506	386	1	both	both	DET
ejpam-6506	386	2	schemes	scheme	NOUN
ejpam-6506	386	3	reproduce	reproduce	VERB
ejpam-6506	386	4	the	the	DET
ejpam-6506	386	5	qualitative	qualitative	ADJ
ejpam-6506	386	6	features	feature	NOUN
ejpam-6506	386	7	of	of	ADP
ejpam-6506	386	8	the	the	DET
ejpam-6506	386	9	ode	ode	NOUN
ejpam-6506	386	10	for	for	ADP
ejpam-6506	386	11	small	small	ADJ
ejpam-6506	386	12	h	h	NOUN
ejpam-6506	386	13	,	,	PUNCT
ejpam-6506	386	14	but	but	CCONJ
ejpam-6506	386	15	the	the	DET
ejpam-6506	386	16	mickens	mickens	PROPN
ejpam-6506	386	17	scheme	scheme	NOUN
ejpam-6506	386	18	shows	show	VERB
ejpam-6506	386	19	greater	great	ADJ
ejpam-6506	386	20	robustness	robustness	NOUN
ejpam-6506	386	21	in	in	ADP
ejpam-6506	386	22	preserving	preserve	VERB
ejpam-6506	386	23	attractor	attractor	NOUN
ejpam-6506	386	24	dimensions	dimension	NOUN
ejpam-6506	386	25	and	and	CCONJ
ejpam-6506	386	26	delays	delay	NOUN
ejpam-6506	386	27	numerical	numerical	ADJ
ejpam-6506	386	28	instabilities	instability	NOUN
ejpam-6506	386	29	at	at	ADP
ejpam-6506	386	30	larger	large	ADJ
ejpam-6506	386	31	h.	h.	PROPN
ejpam-6506	387	1	furthermore	furthermore	ADV
ejpam-6506	387	2	,	,	PUNCT
ejpam-6506	387	3	it	it	PRON
ejpam-6506	387	4	is	be	AUX
ejpam-6506	387	5	worth	worth	ADJ
ejpam-6506	387	6	situating	situate	VERB
ejpam-6506	387	7	the	the	DET
ejpam-6506	387	8	nsfd	nsfd	ADJ
ejpam-6506	387	9	approach	approach	NOUN
ejpam-6506	387	10	within	within	ADP
ejpam-6506	387	11	a	a	DET
ejpam-6506	387	12	broader	broad	ADJ
ejpam-6506	387	13	landscape	landscape	NOUN
ejpam-6506	387	14	of	of	ADP
ejpam-6506	387	15	numerical	numerical	ADJ
ejpam-6506	387	16	methods	method	NOUN
ejpam-6506	387	17	.	.	PUNCT
ejpam-6506	388	1	classical	classical	ADJ
ejpam-6506	388	2	high	high	ADJ
ejpam-6506	388	3	-	-	PUNCT
ejpam-6506	388	4	order	order	NOUN
ejpam-6506	388	5	schemes	scheme	NOUN
ejpam-6506	388	6	,	,	PUNCT
ejpam-6506	388	7	such	such	ADJ
ejpam-6506	388	8	as	as	ADP
ejpam-6506	388	9	runge	runge	NOUN
ejpam-6506	388	10	–	–	PUNCT
ejpam-6506	388	11	kutta	kutta	NOUN
ejpam-6506	388	12	(	(	PUNCT
ejpam-6506	388	13	e.g.	e.g.	ADV
ejpam-6506	388	14	,	,	PUNCT
ejpam-6506	388	15	ode45	ode45	NOUN
ejpam-6506	388	16	)	)	PUNCT
ejpam-6506	388	17	and	and	CCONJ
ejpam-6506	388	18	semi	semi	ADJ
ejpam-6506	388	19	-	-	ADJ
ejpam-6506	388	20	implicit	implicit	ADJ
ejpam-6506	388	21	integrators	integrator	NOUN
ejpam-6506	388	22	,	,	PUNCT
ejpam-6506	388	23	are	be	AUX
ejpam-6506	388	24	widely	widely	ADV
ejpam-6506	388	25	used	use	VERB
ejpam-6506	388	26	for	for	ADP
ejpam-6506	388	27	their	their	PRON
ejpam-6506	388	28	accuracy	accuracy	NOUN
ejpam-6506	388	29	when	when	SCONJ
ejpam-6506	388	30	the	the	DET
ejpam-6506	388	31	step	step	NOUN
ejpam-6506	388	32	size	size	NOUN
ejpam-6506	388	33	is	be	AUX
ejpam-6506	388	34	small	small	ADJ
ejpam-6506	388	35	.	.	PUNCT
ejpam-6506	389	1	however	however	ADV
ejpam-6506	389	2	,	,	PUNCT
ejpam-6506	389	3	these	these	DET
ejpam-6506	389	4	conventional	conventional	ADJ
ejpam-6506	389	5	methods	method	NOUN
ejpam-6506	389	6	do	do	AUX
ejpam-6506	389	7	not	not	PART
ejpam-6506	389	8	necessarily	necessarily	ADV
ejpam-6506	389	9	preserve	preserve	VERB
ejpam-6506	389	10	qualitative	qualitative	ADJ
ejpam-6506	389	11	features	feature	NOUN
ejpam-6506	389	12	,	,	PUNCT
ejpam-6506	389	13	such	such	ADJ
ejpam-6506	389	14	as	as	ADP
ejpam-6506	389	15	positivity	positivity	NOUN
ejpam-6506	389	16	,	,	PUNCT
ejpam-6506	389	17	boundedness	boundedness	NOUN
ejpam-6506	389	18	,	,	PUNCT
ejpam-6506	389	19	or	or	CCONJ
ejpam-6506	389	20	equilibrium	equilibrium	NOUN
ejpam-6506	389	21	stability	stability	NOUN
ejpam-6506	389	22	,	,	PUNCT
ejpam-6506	389	23	when	when	SCONJ
ejpam-6506	389	24	larger	large	ADJ
ejpam-6506	389	25	step	step	NOUN
ejpam-6506	389	26	sizes	size	NOUN
ejpam-6506	389	27	are	be	AUX
ejpam-6506	389	28	employed	employ	VERB
ejpam-6506	389	29	.	.	PUNCT
ejpam-6506	390	1	in	in	ADP
ejpam-6506	390	2	contrast	contrast	NOUN
ejpam-6506	390	3	,	,	PUNCT
ejpam-6506	390	4	mickens	mickens	PROPN
ejpam-6506	390	5	’	'	PUNCT
ejpam-6506	390	6	nonstandard	nonstandard	ADJ
ejpam-6506	390	7	scheme	scheme	NOUN
ejpam-6506	390	8	was	be	AUX
ejpam-6506	390	9	explicitly	explicitly	ADV
ejpam-6506	390	10	constructed	construct	VERB
ejpam-6506	390	11	to	to	PART
ejpam-6506	390	12	maintain	maintain	VERB
ejpam-6506	390	13	such	such	ADJ
ejpam-6506	390	14	structural	structural	ADJ
ejpam-6506	390	15	properties	property	NOUN
ejpam-6506	390	16	,	,	PUNCT
ejpam-6506	390	17	which	which	PRON
ejpam-6506	390	18	explains	explain	VERB
ejpam-6506	390	19	its	its	PRON
ejpam-6506	390	20	robustness	robustness	NOUN
ejpam-6506	390	21	in	in	ADP
ejpam-6506	390	22	capturing	capture	VERB
ejpam-6506	390	23	chaotic	chaotic	ADJ
ejpam-6506	390	24	and	and	CCONJ
ejpam-6506	390	25	bifurcating	bifurcate	VERB
ejpam-6506	390	26	dynamics	dynamic	NOUN
ejpam-6506	390	27	under	under	ADP
ejpam-6506	390	28	coarse	coarse	NOUN
ejpam-6506	390	29	discretizations	discretization	NOUN
ejpam-6506	390	30	.	.	PUNCT
ejpam-6506	391	1	this	this	DET
ejpam-6506	391	2	broader	broad	ADJ
ejpam-6506	391	3	perspective	perspective	NOUN
ejpam-6506	391	4	emphasizes	emphasize	VERB
ejpam-6506	391	5	that	that	SCONJ
ejpam-6506	391	6	nsfd	nsfd	ADJ
ejpam-6506	391	7	schemes	scheme	NOUN
ejpam-6506	391	8	provide	provide	VERB
ejpam-6506	391	9	a	a	DET
ejpam-6506	391	10	valuable	valuable	ADJ
ejpam-6506	391	11	complementary	complementary	ADJ
ejpam-6506	391	12	alternative	alternative	NOUN
ejpam-6506	391	13	to	to	ADP
ejpam-6506	391	14	classical	classical	ADJ
ejpam-6506	391	15	integrators	integrator	NOUN
ejpam-6506	391	16	for	for	ADP
ejpam-6506	391	17	studying	study	VERB
ejpam-6506	391	18	discrete	discrete	ADJ
ejpam-6506	391	19	nonlinear	nonlinear	ADJ
ejpam-6506	391	20	dynamics	dynamic	NOUN
ejpam-6506	391	21	.	.	PUNCT
ejpam-6506	392	1	m.	m.	PROPN
ejpam-6506	392	2	f.	f.	PROPN
ejpam-6506	392	3	ansori	ansori	PROPN
ejpam-6506	392	4	et	et	PROPN
ejpam-6506	392	5	al	al	PROPN
ejpam-6506	392	6	.	.	PUNCT
ejpam-6506	392	7	/	/	SYM
ejpam-6506	392	8	eur	eur	PROPN
ejpam-6506	392	9	.	.	PUNCT
ejpam-6506	393	1	j.	j.	PROPN
ejpam-6506	393	2	pure	pure	PROPN
ejpam-6506	393	3	appl	appl	PROPN
ejpam-6506	393	4	.	.	PROPN
ejpam-6506	393	5	math	math	PROPN
ejpam-6506	393	6	,	,	PUNCT
ejpam-6506	393	7	18	18	NUM
ejpam-6506	393	8	(	(	PUNCT
ejpam-6506	393	9	4	4	NUM
ejpam-6506	393	10	)	)	PUNCT
ejpam-6506	393	11	(	(	PUNCT
ejpam-6506	393	12	2025	2025	NUM
ejpam-6506	393	13	)	)	PUNCT
ejpam-6506	393	14	,	,	PUNCT
ejpam-6506	393	15	6506	6506	NUM
ejpam-6506	393	16	21	21	NUM
ejpam-6506	393	17	of	of	ADP
ejpam-6506	393	18	27	27	NUM
ejpam-6506	393	19	(	(	PUNCT
ejpam-6506	393	20	a	a	NOUN
ejpam-6506	393	21	)	)	PUNCT
ejpam-6506	393	22	(	(	PUNCT
ejpam-6506	393	23	b	b	X
ejpam-6506	393	24	)	)	PUNCT
ejpam-6506	393	25	(	(	PUNCT
ejpam-6506	393	26	c	c	X
ejpam-6506	393	27	)	)	PUNCT
ejpam-6506	393	28	(	(	PUNCT
ejpam-6506	393	29	d	d	X
ejpam-6506	393	30	)	)	PUNCT
ejpam-6506	393	31	figure	figure	NOUN
ejpam-6506	393	32	12	12	NUM
ejpam-6506	393	33	:	:	PUNCT
ejpam-6506	393	34	phase	phase	NOUN
ejpam-6506	393	35	portraits	portrait	NOUN
ejpam-6506	393	36	of	of	ADP
ejpam-6506	393	37	the	the	DET
ejpam-6506	393	38	nonstandard	nonstandard	ADJ
ejpam-6506	393	39	system	system	NOUN
ejpam-6506	393	40	(	(	PUNCT
ejpam-6506	393	41	9	9	NUM
ejpam-6506	393	42	)	)	PUNCT
ejpam-6506	393	43	with	with	ADP
ejpam-6506	393	44	h	h	NOUN
ejpam-6506	393	45	=	=	NOUN
ejpam-6506	393	46	0.01	0.01	NUM
ejpam-6506	393	47	and	and	CCONJ
ejpam-6506	393	48	initial	initial	ADJ
ejpam-6506	393	49	condition	condition	NOUN
ejpam-6506	393	50	(	(	PUNCT
ejpam-6506	393	51	0	0	NUM
ejpam-6506	393	52	,	,	PUNCT
ejpam-6506	393	53	1.6	1.6	NUM
ejpam-6506	393	54	,	,	PUNCT
ejpam-6506	393	55	3	3	NUM
ejpam-6506	393	56	)	)	PUNCT
ejpam-6506	393	57	.	.	PUNCT
ejpam-6506	394	1	panels	panel	NOUN
ejpam-6506	394	2	(	(	PUNCT
ejpam-6506	394	3	a)–(b	a)–(b	X
ejpam-6506	394	4	):	):	PUNCT
ejpam-6506	394	5	parameter	parameter	NOUN
ejpam-6506	394	6	a	a	DET
ejpam-6506	394	7	=	=	ADJ
ejpam-6506	394	8	−2	−2	NOUN
ejpam-6506	394	9	,	,	PUNCT
ejpam-6506	394	10	the	the	DET
ejpam-6506	394	11	trajectory	trajectory	NOUN
ejpam-6506	394	12	converging	converge	VERB
ejpam-6506	394	13	to	to	ADP
ejpam-6506	394	14	the	the	DET
ejpam-6506	394	15	stable	stable	ADJ
ejpam-6506	394	16	equilibrium	equilibrium	NOUN
ejpam-6506	394	17	e∗	e∗	NOUN
ejpam-6506	394	18	1	1	NUM
ejpam-6506	394	19	(	(	PUNCT
ejpam-6506	394	20	red	red	ADJ
ejpam-6506	394	21	point	point	NOUN
ejpam-6506	394	22	)	)	PUNCT
ejpam-6506	394	23	,	,	PUNCT
ejpam-6506	394	24	and	and	CCONJ
ejpam-6506	394	25	e∗	e∗	PROPN
ejpam-6506	394	26	2	2	NUM
ejpam-6506	394	27	(	(	PUNCT
ejpam-6506	394	28	blue	blue	ADJ
ejpam-6506	394	29	point	point	NOUN
ejpam-6506	394	30	)	)	PUNCT
ejpam-6506	394	31	remain	remain	VERB
ejpam-6506	394	32	unstable	unstable	ADJ
ejpam-6506	394	33	.	.	PUNCT
ejpam-6506	395	1	panels	panel	NOUN
ejpam-6506	395	2	(	(	PUNCT
ejpam-6506	395	3	c	c	NOUN
ejpam-6506	395	4	)	)	PUNCT
ejpam-6506	395	5	–	–	PUNCT
ejpam-6506	395	6	(	(	PUNCT
ejpam-6506	395	7	d	d	NOUN
ejpam-6506	395	8	):	):	PUNCT
ejpam-6506	395	9	parameter	parameter	NOUN
ejpam-6506	395	10	a	a	DET
ejpam-6506	395	11	=	=	SYM
ejpam-6506	395	12	1	1	NUM
ejpam-6506	395	13	,	,	PUNCT
ejpam-6506	395	14	showing	show	VERB
ejpam-6506	395	15	a	a	DET
ejpam-6506	395	16	chaotic	chaotic	ADJ
ejpam-6506	395	17	attractor	attractor	NOUN
ejpam-6506	395	18	with	with	ADP
ejpam-6506	395	19	a	a	DET
ejpam-6506	395	20	folded	fold	VERB
ejpam-6506	395	21	-	-	PUNCT
ejpam-6506	395	22	band	band	NOUN
ejpam-6506	395	23	geometry	geometry	NOUN
ejpam-6506	395	24	.	.	PUNCT
ejpam-6506	396	1	each	each	DET
ejpam-6506	396	2	plot	plot	NOUN
ejpam-6506	396	3	is	be	AUX
ejpam-6506	396	4	based	base	VERB
ejpam-6506	396	5	on	on	ADP
ejpam-6506	396	6	40,000	40,000	NUM
ejpam-6506	396	7	iterations	iteration	NOUN
ejpam-6506	396	8	,	,	PUNCT
ejpam-6506	396	9	discarding	discard	VERB
ejpam-6506	396	10	the	the	DET
ejpam-6506	396	11	first	first	ADJ
ejpam-6506	396	12	35,000	35,000	NUM
ejpam-6506	396	13	as	as	ADP
ejpam-6506	396	14	transients	transient	NOUN
ejpam-6506	396	15	.	.	PUNCT
ejpam-6506	397	1	panels	panel	NOUN
ejpam-6506	397	2	(	(	PUNCT
ejpam-6506	397	3	a	a	X
ejpam-6506	397	4	)	)	PUNCT
ejpam-6506	397	5	and	and	CCONJ
ejpam-6506	397	6	(	(	PUNCT
ejpam-6506	397	7	c	c	NOUN
ejpam-6506	397	8	)	)	PUNCT
ejpam-6506	397	9	display	display	VERB
ejpam-6506	397	10	three	three	NUM
ejpam-6506	397	11	-	-	PUNCT
ejpam-6506	397	12	dimensional	dimensional	ADJ
ejpam-6506	397	13	trajectories	trajectory	NOUN
ejpam-6506	397	14	,	,	PUNCT
ejpam-6506	397	15	whereas	whereas	SCONJ
ejpam-6506	397	16	panels	panel	NOUN
ejpam-6506	397	17	(	(	PUNCT
ejpam-6506	397	18	b	b	NOUN
ejpam-6506	397	19	)	)	PUNCT
ejpam-6506	397	20	and	and	CCONJ
ejpam-6506	397	21	(	(	PUNCT
ejpam-6506	397	22	d	d	X
ejpam-6506	397	23	)	)	PUNCT
ejpam-6506	397	24	show	show	VERB
ejpam-6506	397	25	the	the	DET
ejpam-6506	397	26	(	(	PUNCT
ejpam-6506	397	27	x	x	PROPN
ejpam-6506	397	28	,	,	PUNCT
ejpam-6506	397	29	y	y	NOUN
ejpam-6506	397	30	)	)	PUNCT
ejpam-6506	397	31	projections	projection	NOUN
ejpam-6506	397	32	.	.	PUNCT
ejpam-6506	398	1	4	4	X
ejpam-6506	398	2	.	.	X
ejpam-6506	398	3	conclusion	conclusion	NOUN
ejpam-6506	398	4	this	this	DET
ejpam-6506	398	5	study	study	NOUN
ejpam-6506	398	6	compared	compare	VERB
ejpam-6506	398	7	two	two	NUM
ejpam-6506	398	8	discrete	discrete	ADJ
ejpam-6506	398	9	-	-	PUNCT
ejpam-6506	398	10	time	time	NOUN
ejpam-6506	398	11	versions	version	NOUN
ejpam-6506	398	12	of	of	ADP
ejpam-6506	398	13	a	a	DET
ejpam-6506	398	14	three	three	NUM
ejpam-6506	398	15	-	-	PUNCT
ejpam-6506	398	16	dimensional	dimensional	ADJ
ejpam-6506	398	17	nonlinear	nonlinear	ADJ
ejpam-6506	398	18	system	system	NOUN
ejpam-6506	398	19	:	:	PUNCT
ejpam-6506	398	20	one	one	NUM
ejpam-6506	398	21	discretized	discretize	VERB
ejpam-6506	398	22	by	by	ADP
ejpam-6506	398	23	the	the	DET
ejpam-6506	398	24	standard	standard	PROPN
ejpam-6506	398	25	forward	forward	PROPN
ejpam-6506	398	26	euler	euler	NOUN
ejpam-6506	398	27	method	method	NOUN
ejpam-6506	398	28	and	and	CCONJ
ejpam-6506	398	29	the	the	DET
ejpam-6506	398	30	other	other	ADJ
ejpam-6506	398	31	by	by	ADP
ejpam-6506	398	32	a	a	DET
ejpam-6506	398	33	nonstandard	nonstandard	ADJ
ejpam-6506	398	34	mickens	micken	NOUN
ejpam-6506	398	35	scheme	scheme	NOUN
ejpam-6506	398	36	.	.	PUNCT
ejpam-6506	399	1	both	both	DET
ejpam-6506	399	2	approaches	approach	NOUN
ejpam-6506	399	3	share	share	VERB
ejpam-6506	399	4	the	the	DET
ejpam-6506	399	5	same	same	ADJ
ejpam-6506	399	6	equilibrium	equilibrium	NOUN
ejpam-6506	399	7	points	point	NOUN
ejpam-6506	399	8	,	,	PUNCT
ejpam-6506	399	9	but	but	CCONJ
ejpam-6506	399	10	their	their	PRON
ejpam-6506	399	11	stability	stability	NOUN
ejpam-6506	399	12	m.	m.	NOUN
ejpam-6506	399	13	f.	f.	PROPN
ejpam-6506	399	14	ansori	ansori	PROPN
ejpam-6506	399	15	et	et	PROPN
ejpam-6506	399	16	al	al	PROPN
ejpam-6506	399	17	.	.	PUNCT
ejpam-6506	399	18	/	/	SYM
ejpam-6506	399	19	eur	eur	PROPN
ejpam-6506	399	20	.	.	PUNCT
ejpam-6506	400	1	j.	j.	PROPN
ejpam-6506	400	2	pure	pure	PROPN
ejpam-6506	400	3	appl	appl	PROPN
ejpam-6506	400	4	.	.	PROPN
ejpam-6506	400	5	math	math	PROPN
ejpam-6506	400	6	,	,	PUNCT
ejpam-6506	400	7	18	18	NUM
ejpam-6506	400	8	(	(	PUNCT
ejpam-6506	400	9	4	4	NUM
ejpam-6506	400	10	)	)	PUNCT
ejpam-6506	400	11	(	(	PUNCT
ejpam-6506	400	12	2025	2025	NUM
ejpam-6506	400	13	)	)	PUNCT
ejpam-6506	400	14	,	,	PUNCT
ejpam-6506	400	15	6506	6506	NUM
ejpam-6506	400	16	22	22	NUM
ejpam-6506	400	17	of	of	ADP
ejpam-6506	400	18	27	27	NUM
ejpam-6506	400	19	figure	figure	NOUN
ejpam-6506	400	20	13	13	NUM
ejpam-6506	400	21	:	:	PUNCT
ejpam-6506	400	22	comparison	comparison	NOUN
ejpam-6506	400	23	of	of	ADP
ejpam-6506	400	24	xmax	xmax	PROPN
ejpam-6506	400	25	-	-	PUNCT
ejpam-6506	400	26	based	base	VERB
ejpam-6506	400	27	bifurcation	bifurcation	NOUN
ejpam-6506	400	28	diagrams	diagram	NOUN
ejpam-6506	400	29	of	of	ADP
ejpam-6506	400	30	the	the	DET
ejpam-6506	400	31	continuous	continuous	ADJ
ejpam-6506	400	32	system	system	NOUN
ejpam-6506	400	33	(	(	PUNCT
ejpam-6506	400	34	black	black	ADJ
ejpam-6506	400	35	,	,	PUNCT
ejpam-6506	400	36	computed	compute	VERB
ejpam-6506	400	37	with	with	ADP
ejpam-6506	400	38	ode45	ode45	NOUN
ejpam-6506	400	39	)	)	PUNCT
ejpam-6506	400	40	,	,	PUNCT
ejpam-6506	400	41	standard	standard	PROPN
ejpam-6506	400	42	euler	euler	NOUN
ejpam-6506	400	43	discretization	discretization	NOUN
ejpam-6506	400	44	(	(	PUNCT
ejpam-6506	400	45	red	red	ADJ
ejpam-6506	400	46	)	)	PUNCT
ejpam-6506	400	47	,	,	PUNCT
ejpam-6506	400	48	and	and	CCONJ
ejpam-6506	400	49	mickens	micken	VERB
ejpam-6506	400	50	nonstandard	nonstandard	ADJ
ejpam-6506	400	51	scheme	scheme	NOUN
ejpam-6506	400	52	(	(	PUNCT
ejpam-6506	400	53	blue	blue	NOUN
ejpam-6506	400	54	)	)	PUNCT
ejpam-6506	400	55	,	,	PUNCT
ejpam-6506	400	56	all	all	PRON
ejpam-6506	400	57	with	with	ADP
ejpam-6506	400	58	a	a	DET
ejpam-6506	400	59	step	step	NOUN
ejpam-6506	400	60	size	size	NOUN
ejpam-6506	400	61	h	h	NOUN
ejpam-6506	400	62	=	=	NOUN
ejpam-6506	400	63	0.01	0.01	NUM
ejpam-6506	400	64	.	.	PUNCT
ejpam-6506	401	1	for	for	ADP
ejpam-6506	401	2	small	small	ADJ
ejpam-6506	401	3	h	h	NOUN
ejpam-6506	401	4	,	,	PUNCT
ejpam-6506	401	5	both	both	DET
ejpam-6506	401	6	discretizations	discretization	NOUN
ejpam-6506	401	7	reproduce	reproduce	VERB
ejpam-6506	401	8	the	the	DET
ejpam-6506	401	9	continuous	continuous	ADJ
ejpam-6506	401	10	dynamics	dynamic	NOUN
ejpam-6506	401	11	,	,	PUNCT
ejpam-6506	401	12	but	but	CCONJ
ejpam-6506	401	13	near	near	ADP
ejpam-6506	401	14	the	the	DET
ejpam-6506	401	15	onset	onset	NOUN
ejpam-6506	401	16	of	of	ADP
ejpam-6506	401	17	chaos	chaos	NOUN
ejpam-6506	401	18	(	(	PUNCT
ejpam-6506	401	19	a	a	DET
ejpam-6506	401	20	≈	≈	PROPN
ejpam-6506	401	21	1	1	NUM
ejpam-6506	401	22	)	)	PUNCT
ejpam-6506	401	23	,	,	PUNCT
ejpam-6506	401	24	the	the	DET
ejpam-6506	401	25	nonstandard	nonstandard	ADJ
ejpam-6506	401	26	scheme	scheme	NOUN
ejpam-6506	401	27	remains	remain	VERB
ejpam-6506	401	28	closer	close	ADJ
ejpam-6506	401	29	to	to	ADP
ejpam-6506	401	30	the	the	DET
ejpam-6506	401	31	continuous	continuous	ADJ
ejpam-6506	401	32	reference	reference	NOUN
ejpam-6506	401	33	while	while	SCONJ
ejpam-6506	401	34	the	the	DET
ejpam-6506	401	35	euler	euler	NOUN
ejpam-6506	401	36	method	method	PROPN
ejpam-6506	401	37	shows	show	VERB
ejpam-6506	401	38	larger	large	ADJ
ejpam-6506	401	39	deviations	deviation	NOUN
ejpam-6506	401	40	.	.	PUNCT
ejpam-6506	402	1	properties	property	NOUN
ejpam-6506	402	2	differ	differ	VERB
ejpam-6506	402	3	.	.	PUNCT
ejpam-6506	403	1	we	we	PRON
ejpam-6506	403	2	derived	derive	VERB
ejpam-6506	403	3	discrete	discrete	ADJ
ejpam-6506	403	4	systems	system	NOUN
ejpam-6506	403	5	,	,	PUNCT
ejpam-6506	403	6	analyzed	analyze	VERB
ejpam-6506	403	7	their	their	PRON
ejpam-6506	403	8	equilibria	equilibrium	NOUN
ejpam-6506	403	9	,	,	PUNCT
ejpam-6506	403	10	and	and	CCONJ
ejpam-6506	403	11	applied	apply	VERB
ejpam-6506	403	12	the	the	DET
ejpam-6506	403	13	jury	jury	NOUN
ejpam-6506	403	14	criterion	criterion	NOUN
ejpam-6506	403	15	to	to	PART
ejpam-6506	403	16	determine	determine	VERB
ejpam-6506	403	17	local	local	ADJ
ejpam-6506	403	18	stability	stability	NOUN
ejpam-6506	403	19	.	.	PUNCT
ejpam-6506	404	1	the	the	DET
ejpam-6506	404	2	results	result	NOUN
ejpam-6506	404	3	show	show	VERB
ejpam-6506	404	4	that	that	SCONJ
ejpam-6506	404	5	the	the	DET
ejpam-6506	404	6	euler	euler	NOUN
ejpam-6506	404	7	scheme	scheme	NOUN
ejpam-6506	404	8	stabilizes	stabilize	VERB
ejpam-6506	404	9	only	only	ADV
ejpam-6506	404	10	one	one	NUM
ejpam-6506	404	11	equilibrium	equilibrium	NOUN
ejpam-6506	404	12	.	.	PUNCT
ejpam-6506	405	1	in	in	ADP
ejpam-6506	405	2	the	the	DET
ejpam-6506	405	3	nonstandard	nonstandard	ADJ
ejpam-6506	405	4	scheme	scheme	NOUN
ejpam-6506	405	5	,	,	PUNCT
ejpam-6506	405	6	the	the	DET
ejpam-6506	405	7	theoretical	theoretical	ADJ
ejpam-6506	405	8	conditions	condition	NOUN
ejpam-6506	405	9	allow	allow	VERB
ejpam-6506	405	10	the	the	DET
ejpam-6506	405	11	possibility	possibility	NOUN
ejpam-6506	405	12	of	of	ADP
ejpam-6506	405	13	stabilizing	stabilize	VERB
ejpam-6506	405	14	both	both	DET
ejpam-6506	405	15	equilibria	equilibrium	NOUN
ejpam-6506	405	16	;	;	PUNCT
ejpam-6506	405	17	however	however	ADV
ejpam-6506	405	18	,	,	PUNCT
ejpam-6506	405	19	numerical	numerical	ADJ
ejpam-6506	405	20	exploration	exploration	NOUN
ejpam-6506	405	21	indicates	indicate	VERB
ejpam-6506	405	22	that	that	SCONJ
ejpam-6506	405	23	only	only	ADV
ejpam-6506	405	24	e∗	e∗	NOUN
ejpam-6506	405	25	1	1	NUM
ejpam-6506	405	26	exhibits	exhibit	VERB
ejpam-6506	405	27	a	a	DET
ejpam-6506	405	28	robust	robust	ADJ
ejpam-6506	405	29	stability	stability	NOUN
ejpam-6506	405	30	domain	domain	NOUN
ejpam-6506	405	31	,	,	PUNCT
ejpam-6506	405	32	whereas	whereas	SCONJ
ejpam-6506	405	33	e∗	e∗	PROPN
ejpam-6506	405	34	2	2	NUM
ejpam-6506	405	35	remains	remain	VERB
ejpam-6506	405	36	practically	practically	ADV
ejpam-6506	405	37	unstable	unstable	ADJ
ejpam-6506	405	38	across	across	ADP
ejpam-6506	405	39	most	most	ADJ
ejpam-6506	405	40	parameter	parameter	NOUN
ejpam-6506	405	41	ranges	range	NOUN
ejpam-6506	405	42	.	.	PUNCT
ejpam-6506	406	1	for	for	ADP
ejpam-6506	406	2	the	the	DET
ejpam-6506	406	3	euler	euler	PROPN
ejpam-6506	406	4	discretization	discretization	NOUN
ejpam-6506	406	5	,	,	PUNCT
ejpam-6506	406	6	we	we	PRON
ejpam-6506	406	7	derived	derive	VERB
ejpam-6506	406	8	the	the	DET
ejpam-6506	406	9	jacobian	jacobian	ADJ
ejpam-6506	406	10	characteristic	characteristic	ADJ
ejpam-6506	406	11	polynomial	polynomial	NOUN
ejpam-6506	406	12	and	and	CCONJ
ejpam-6506	406	13	applied	apply	VERB
ejpam-6506	406	14	the	the	DET
ejpam-6506	406	15	jury	jury	NOUN
ejpam-6506	406	16	criterion	criterion	NOUN
ejpam-6506	406	17	.	.	PUNCT
ejpam-6506	407	1	the	the	DET
ejpam-6506	407	2	results	result	NOUN
ejpam-6506	407	3	show	show	VERB
ejpam-6506	407	4	that	that	SCONJ
ejpam-6506	407	5	equilibrium	equilibrium	NOUN
ejpam-6506	407	6	e∗	e∗	NOUN
ejpam-6506	407	7	1	1	NUM
ejpam-6506	407	8	is	be	AUX
ejpam-6506	407	9	stable	stable	ADJ
ejpam-6506	407	10	for	for	ADP
ejpam-6506	407	11	certain	certain	ADJ
ejpam-6506	407	12	(	(	PUNCT
ejpam-6506	407	13	a	a	PRON
ejpam-6506	407	14	,	,	PUNCT
ejpam-6506	407	15	h	h	NOUN
ejpam-6506	407	16	)	)	PUNCT
ejpam-6506	407	17	values	value	NOUN
ejpam-6506	407	18	,	,	PUNCT
ejpam-6506	407	19	whereas	whereas	SCONJ
ejpam-6506	407	20	e∗	e∗	PROPN
ejpam-6506	407	21	2	2	NUM
ejpam-6506	407	22	is	be	AUX
ejpam-6506	407	23	always	always	ADV
ejpam-6506	407	24	unstable	unstable	ADJ
ejpam-6506	407	25	.	.	PUNCT
ejpam-6506	408	1	the	the	DET
ejpam-6506	408	2	stability	stability	NOUN
ejpam-6506	408	3	region	region	NOUN
ejpam-6506	408	4	,	,	PUNCT
ejpam-6506	408	5	expressed	express	VERB
ejpam-6506	408	6	through	through	ADP
ejpam-6506	408	7	inequalities	inequality	NOUN
ejpam-6506	408	8	in	in	ADP
ejpam-6506	408	9	the	the	DET
ejpam-6506	408	10	parameters	parameter	NOUN
ejpam-6506	408	11	,	,	PUNCT
ejpam-6506	408	12	was	be	AUX
ejpam-6506	408	13	numerically	numerically	ADV
ejpam-6506	408	14	confirmed	confirm	VERB
ejpam-6506	408	15	.	.	PUNCT
ejpam-6506	409	1	the	the	DET
ejpam-6506	409	2	nonstandard	nonstandard	ADJ
ejpam-6506	409	3	mickens	micken	NOUN
ejpam-6506	409	4	scheme	scheme	NOUN
ejpam-6506	409	5	modifies	modify	VERB
ejpam-6506	409	6	the	the	DET
ejpam-6506	409	7	nonlinear	nonlinear	ADJ
ejpam-6506	409	8	term	term	NOUN
ejpam-6506	409	9	to	to	PART
ejpam-6506	409	10	preserve	preserve	VERB
ejpam-6506	409	11	the	the	DET
ejpam-6506	409	12	system	system	NOUN
ejpam-6506	409	13	structure	structure	NOUN
ejpam-6506	409	14	.	.	PUNCT
ejpam-6506	410	1	jacobian	jacobian	ADJ
ejpam-6506	410	2	and	and	CCONJ
ejpam-6506	410	3	characteristic	characteristic	ADJ
ejpam-6506	410	4	polynomials	polynomial	NOUN
ejpam-6506	410	5	were	be	AUX
ejpam-6506	410	6	derived	derive	VERB
ejpam-6506	410	7	,	,	PUNCT
ejpam-6506	410	8	and	and	CCONJ
ejpam-6506	410	9	the	the	DET
ejpam-6506	410	10	jury	jury	NOUN
ejpam-6506	410	11	criterion	criterion	NOUN
ejpam-6506	410	12	yielded	yield	VERB
ejpam-6506	410	13	nonlinear	nonlinear	ADJ
ejpam-6506	410	14	conditions	condition	NOUN
ejpam-6506	410	15	in	in	ADP
ejpam-6506	410	16	(	(	PUNCT
ejpam-6506	410	17	a	a	DET
ejpam-6506	410	18	,	,	PUNCT
ejpam-6506	410	19	h	h	NOUN
ejpam-6506	410	20	)	)	PUNCT
ejpam-6506	410	21	.	.	PUNCT
ejpam-6506	411	1	unlike	unlike	ADP
ejpam-6506	411	2	euler	euler	PROPN
ejpam-6506	411	3	,	,	PUNCT
ejpam-6506	411	4	both	both	DET
ejpam-6506	411	5	equilibria	equilibrium	NOUN
ejpam-6506	411	6	e∗	e∗	PROPN
ejpam-6506	411	7	1	1	NUM
ejpam-6506	411	8	and	and	CCONJ
ejpam-6506	411	9	e∗	e∗	PROPN
ejpam-6506	411	10	2	2	NUM
ejpam-6506	411	11	can	can	AUX
ejpam-6506	411	12	be	be	AUX
ejpam-6506	411	13	stable	stable	ADJ
ejpam-6506	411	14	under	under	ADP
ejpam-6506	411	15	appropriate	appropriate	ADJ
ejpam-6506	411	16	parameters	parameter	NOUN
ejpam-6506	411	17	.	.	PUNCT
ejpam-6506	412	1	a	a	DET
ejpam-6506	412	2	set	set	NOUN
ejpam-6506	412	3	of	of	ADP
ejpam-6506	412	4	numerical	numerical	ADJ
ejpam-6506	412	5	simulations	simulation	NOUN
ejpam-6506	412	6	were	be	AUX
ejpam-6506	412	7	performed	perform	VERB
ejpam-6506	412	8	to	to	PART
ejpam-6506	412	9	delve	delve	VERB
ejpam-6506	412	10	deeper	deeply	ADV
ejpam-6506	412	11	into	into	ADP
ejpam-6506	412	12	the	the	DET
ejpam-6506	412	13	dynamic	dynamic	ADJ
ejpam-6506	412	14	consequences	consequence	NOUN
ejpam-6506	412	15	of	of	ADP
ejpam-6506	412	16	these	these	DET
ejpam-6506	412	17	theoretical	theoretical	ADJ
ejpam-6506	412	18	findings	finding	NOUN
ejpam-6506	412	19	.	.	PUNCT
ejpam-6506	413	1	phase	phase	NOUN
ejpam-6506	413	2	portraits	portrait	NOUN
ejpam-6506	413	3	illustrated	illustrate	VERB
ejpam-6506	413	4	that	that	SCONJ
ejpam-6506	413	5	both	both	DET
ejpam-6506	413	6	methods	method	NOUN
ejpam-6506	413	7	could	could	AUX
ejpam-6506	413	8	replicate	replicate	VERB
ejpam-6506	413	9	the	the	DET
ejpam-6506	413	10	periodic	periodic	ADJ
ejpam-6506	413	11	and	and	CCONJ
ejpam-6506	413	12	chaotic	chaotic	ADJ
ejpam-6506	413	13	behaviors	behavior	NOUN
ejpam-6506	413	14	observed	observe	VERB
ejpam-6506	413	15	in	in	ADP
ejpam-6506	413	16	the	the	DET
ejpam-6506	413	17	continuous	continuous	ADJ
ejpam-6506	413	18	system	system	NOUN
ejpam-6506	413	19	,	,	PUNCT
ejpam-6506	413	20	although	although	SCONJ
ejpam-6506	413	21	differences	difference	NOUN
ejpam-6506	413	22	appeared	appear	VERB
ejpam-6506	413	23	in	in	ADP
ejpam-6506	413	24	the	the	DET
ejpam-6506	413	25	detailed	detailed	ADJ
ejpam-6506	413	26	structure	structure	NOUN
ejpam-6506	413	27	of	of	ADP
ejpam-6506	413	28	the	the	DET
ejpam-6506	413	29	chaotic	chaotic	ADJ
ejpam-6506	413	30	attractors	attractor	NOUN
ejpam-6506	413	31	.	.	PUNCT
ejpam-6506	414	1	the	the	DET
ejpam-6506	414	2	one	one	NUM
ejpam-6506	414	3	-	-	PUNCT
ejpam-6506	414	4	parameter	parameter	NOUN
ejpam-6506	414	5	bifurcation	bifurcation	NOUN
ejpam-6506	414	6	diagrams	diagram	NOUN
ejpam-6506	414	7	of	of	ADP
ejpam-6506	414	8	a	a	PRON
ejpam-6506	414	9	and	and	CCONJ
ejpam-6506	414	10	h	h	NOUN
ejpam-6506	414	11	show	show	VERB
ejpam-6506	414	12	that	that	SCONJ
ejpam-6506	414	13	both	both	DET
ejpam-6506	414	14	discretizations	discretization	NOUN
ejpam-6506	414	15	display	display	VERB
ejpam-6506	414	16	complex	complex	ADJ
ejpam-6506	414	17	nonlinear	nonlinear	ADJ
ejpam-6506	414	18	characteristics	characteristic	NOUN
ejpam-6506	414	19	including	include	VERB
ejpam-6506	414	20	bifurcations	bifurcation	NOUN
ejpam-6506	414	21	,	,	PUNCT
ejpam-6506	414	22	periodic	periodic	ADJ
ejpam-6506	414	23	windows	window	NOUN
ejpam-6506	414	24	,	,	PUNCT
ejpam-6506	414	25	and	and	CCONJ
ejpam-6506	414	26	chaotic	chaotic	ADJ
ejpam-6506	414	27	zones	zone	NOUN
ejpam-6506	414	28	.	.	PUNCT
ejpam-6506	415	1	nonetheless	nonetheless	ADV
ejpam-6506	415	2	,	,	PUNCT
ejpam-6506	415	3	m.	m.	PROPN
ejpam-6506	415	4	f.	f.	PROPN
ejpam-6506	415	5	ansori	ansori	PROPN
ejpam-6506	415	6	et	et	PROPN
ejpam-6506	415	7	al	al	PROPN
ejpam-6506	415	8	.	.	PUNCT
ejpam-6506	415	9	/	/	SYM
ejpam-6506	415	10	eur	eur	PROPN
ejpam-6506	415	11	.	.	PUNCT
ejpam-6506	416	1	j.	j.	PROPN
ejpam-6506	416	2	pure	pure	PROPN
ejpam-6506	416	3	appl	appl	PROPN
ejpam-6506	416	4	.	.	PROPN
ejpam-6506	416	5	math	math	PROPN
ejpam-6506	416	6	,	,	PUNCT
ejpam-6506	416	7	18	18	NUM
ejpam-6506	416	8	(	(	PUNCT
ejpam-6506	416	9	4	4	NUM
ejpam-6506	416	10	)	)	PUNCT
ejpam-6506	416	11	(	(	PUNCT
ejpam-6506	416	12	2025	2025	NUM
ejpam-6506	416	13	)	)	PUNCT
ejpam-6506	416	14	,	,	PUNCT
ejpam-6506	416	15	6506	6506	NUM
ejpam-6506	416	16	23	23	NUM
ejpam-6506	416	17	of	of	ADP
ejpam-6506	416	18	27	27	NUM
ejpam-6506	416	19	table	table	NOUN
ejpam-6506	416	20	1	1	NUM
ejpam-6506	416	21	:	:	PUNCT
ejpam-6506	416	22	comparison	comparison	NOUN
ejpam-6506	416	23	between	between	ADP
ejpam-6506	416	24	euler	euler	PROPN
ejpam-6506	416	25	and	and	CCONJ
ejpam-6506	416	26	mickens	mickens	PROPN
ejpam-6506	416	27	discretizations	discretization	NOUN
ejpam-6506	416	28	.	.	PUNCT
ejpam-6506	417	1	aspect	aspect	PROPN
ejpam-6506	417	2	euler	euler	PROPN
ejpam-6506	417	3	scheme	scheme	PROPN
ejpam-6506	417	4	mickens	mickens	PROPN
ejpam-6506	417	5	scheme	scheme	NOUN
ejpam-6506	417	6	equilibria	equilibrium	NOUN
ejpam-6506	417	7	shares	share	VERB
ejpam-6506	417	8	with	with	ADP
ejpam-6506	417	9	continuous	continuous	ADJ
ejpam-6506	417	10	system	system	NOUN
ejpam-6506	417	11	shares	share	NOUN
ejpam-6506	417	12	with	with	ADP
ejpam-6506	417	13	continuous	continuous	ADJ
ejpam-6506	417	14	system	system	NOUN
ejpam-6506	417	15	stability	stability	NOUN
ejpam-6506	417	16	region	region	NOUN
ejpam-6506	417	17	larger	large	ADJ
ejpam-6506	417	18	for	for	ADP
ejpam-6506	417	19	e∗	e∗	NOUN
ejpam-6506	417	20	1	1	NUM
ejpam-6506	417	21	and	and	CCONJ
ejpam-6506	417	22	e∗	e∗	PROPN
ejpam-6506	417	23	2	2	NUM
ejpam-6506	417	24	at	at	ADP
ejpam-6506	417	25	small	small	ADJ
ejpam-6506	417	26	h	h	NOUN
ejpam-6506	417	27	narrower	narrow	ADJ
ejpam-6506	417	28	;	;	PUNCT
ejpam-6506	417	29	e∗	e∗	PROPN
ejpam-6506	417	30	2	2	NUM
ejpam-6506	417	31	lacks	lack	VERB
ejpam-6506	417	32	significant	significant	ADJ
ejpam-6506	417	33	stable	stable	ADJ
ejpam-6506	417	34	window	window	NOUN
ejpam-6506	417	35	bifurcation	bifurcation	NOUN
ejpam-6506	417	36	onset	onset	VERB
ejpam-6506	417	37	spurious	spurious	ADJ
ejpam-6506	417	38	transitions	transition	NOUN
ejpam-6506	417	39	appear	appear	VERB
ejpam-6506	417	40	earlier	early	ADV
ejpam-6506	417	41	as	as	SCONJ
ejpam-6506	417	42	h	h	NOUN
ejpam-6506	417	43	grows	grows	AUX
ejpam-6506	417	44	onset	onset	VERB
ejpam-6506	417	45	of	of	ADP
ejpam-6506	417	46	instability	instability	NOUN
ejpam-6506	417	47	delayed	delay	VERB
ejpam-6506	417	48	by	by	ADP
ejpam-6506	417	49	nonstandard	nonstandard	ADJ
ejpam-6506	417	50	denominator	denominator	NOUN
ejpam-6506	417	51	lyapunov	lyapunov	PROPN
ejpam-6506	417	52	exponents	exponent	NOUN
ejpam-6506	417	53	detect	detect	VERB
ejpam-6506	417	54	chaos	chaos	NOUN
ejpam-6506	417	55	reliably	reliably	ADV
ejpam-6506	417	56	for	for	ADP
ejpam-6506	417	57	small	small	ADJ
ejpam-6506	417	58	h	h	NOUN
ejpam-6506	417	59	same	same	ADJ
ejpam-6506	417	60	reliability	reliability	NOUN
ejpam-6506	417	61	;	;	PUNCT
ejpam-6506	417	62	slightly	slightly	ADV
ejpam-6506	417	63	smoother	smooth	ADJ
ejpam-6506	417	64	near	near	ADP
ejpam-6506	417	65	thresholds	threshold	VERB
ejpam-6506	417	66	kaplan	kaplan	PROPN
ejpam-6506	417	67	–	–	PUNCT
ejpam-6506	417	68	yorke	yorke	PROPN
ejpam-6506	417	69	dimension	dimension	NOUN
ejpam-6506	417	70	2	2	NUM
ejpam-6506	417	71	<	<	X
ejpam-6506	417	72	dky	dky	X
ejpam-6506	417	73	<	<	X
ejpam-6506	417	74	3	3	NUM
ejpam-6506	417	75	in	in	ADP
ejpam-6506	417	76	chaos	chaos	NOUN
ejpam-6506	417	77	,	,	PUNCT
ejpam-6506	417	78	collapses	collapse	VERB
ejpam-6506	417	79	to	to	ADP
ejpam-6506	417	80	2	2	NUM
ejpam-6506	417	81	in	in	ADP
ejpam-6506	417	82	stability	stability	NOUN
ejpam-6506	417	83	same	same	ADJ
ejpam-6506	417	84	,	,	PUNCT
ejpam-6506	417	85	with	with	ADP
ejpam-6506	417	86	better	well	ADJ
ejpam-6506	417	87	robustness	robustness	NOUN
ejpam-6506	417	88	at	at	ADP
ejpam-6506	417	89	larger	large	ADJ
ejpam-6506	417	90	h	h	NOUN
ejpam-6506	417	91	phase	phase	NOUN
ejpam-6506	417	92	portraits	portrait	NOUN
ejpam-6506	417	93	qualitatively	qualitatively	ADV
ejpam-6506	417	94	correct	correct	ADJ
ejpam-6506	417	95	;	;	PUNCT
ejpam-6506	417	96	slightly	slightly	ADV
ejpam-6506	417	97	blurred	blur	VERB
ejpam-6506	417	98	chaotic	chaotic	ADJ
ejpam-6506	417	99	attractor	attractor	NOUN
ejpam-6506	417	100	qualitatively	qualitatively	ADV
ejpam-6506	417	101	correct	correct	ADJ
ejpam-6506	417	102	;	;	PUNCT
ejpam-6506	417	103	attractor	attractor	NOUN
ejpam-6506	417	104	geometry	geometry	NOUN
ejpam-6506	417	105	sharper	sharp	ADJ
ejpam-6506	417	106	agreement	agreement	NOUN
ejpam-6506	417	107	with	with	ADP
ejpam-6506	417	108	ode	ode	PROPN
ejpam-6506	417	109	good	good	NOUN
ejpam-6506	417	110	at	at	ADP
ejpam-6506	417	111	small	small	ADJ
ejpam-6506	417	112	h	h	NOUN
ejpam-6506	417	113	,	,	PUNCT
ejpam-6506	417	114	deteriorates	deteriorate	VERB
ejpam-6506	417	115	faster	fast	ADV
ejpam-6506	417	116	for	for	ADP
ejpam-6506	417	117	large	large	ADJ
ejpam-6506	417	118	h	h	NOUN
ejpam-6506	417	119	good	good	ADJ
ejpam-6506	417	120	at	at	ADP
ejpam-6506	417	121	small	small	ADJ
ejpam-6506	417	122	h	h	NOUN
ejpam-6506	417	123	,	,	PUNCT
ejpam-6506	417	124	remains	remain	VERB
ejpam-6506	417	125	closer	close	ADJ
ejpam-6506	417	126	for	for	ADP
ejpam-6506	417	127	moderate	moderate	ADJ
ejpam-6506	417	128	h	h	NOUN
ejpam-6506	417	129	the	the	DET
ejpam-6506	417	130	nonstandard	nonstandard	ADJ
ejpam-6506	417	131	scheme	scheme	NOUN
ejpam-6506	417	132	demonstrated	demonstrate	VERB
ejpam-6506	417	133	superior	superior	ADJ
ejpam-6506	417	134	numerical	numerical	ADJ
ejpam-6506	417	135	stability	stability	NOUN
ejpam-6506	417	136	,	,	PUNCT
ejpam-6506	417	137	particularly	particularly	ADV
ejpam-6506	417	138	for	for	ADP
ejpam-6506	417	139	larger	large	ADJ
ejpam-6506	417	140	h	h	NOUN
ejpam-6506	417	141	values	value	NOUN
ejpam-6506	417	142	,	,	PUNCT
ejpam-6506	417	143	where	where	SCONJ
ejpam-6506	417	144	the	the	DET
ejpam-6506	417	145	standard	standard	PROPN
ejpam-6506	417	146	euler	euler	NOUN
ejpam-6506	417	147	method	method	NOUN
ejpam-6506	417	148	began	begin	VERB
ejpam-6506	417	149	to	to	PART
ejpam-6506	417	150	deviate	deviate	VERB
ejpam-6506	417	151	significantly	significantly	ADV
ejpam-6506	417	152	or	or	CCONJ
ejpam-6506	417	153	failed	fail	VERB
ejpam-6506	417	154	to	to	PART
ejpam-6506	417	155	maintain	maintain	VERB
ejpam-6506	417	156	bounded	bounded	ADJ
ejpam-6506	417	157	trajectories	trajectory	NOUN
ejpam-6506	417	158	.	.	PUNCT
ejpam-6506	418	1	two	two	NUM
ejpam-6506	418	2	-	-	PUNCT
ejpam-6506	418	3	parameter	parameter	NOUN
ejpam-6506	418	4	bifurcation	bifurcation	NOUN
ejpam-6506	418	5	diagrams	diagram	NOUN
ejpam-6506	418	6	and	and	CCONJ
ejpam-6506	418	7	lyapunov	lyapunov	ADJ
ejpam-6506	418	8	exponent	exponent	NOUN
ejpam-6506	418	9	landscapes	landscape	NOUN
ejpam-6506	418	10	in	in	ADP
ejpam-6506	418	11	the	the	DET
ejpam-6506	418	12	(	(	PUNCT
ejpam-6506	418	13	a	a	PROPN
ejpam-6506	418	14	,	,	PUNCT
ejpam-6506	418	15	h	h	NOUN
ejpam-6506	418	16	)	)	PUNCT
ejpam-6506	418	17	plane	plane	NOUN
ejpam-6506	418	18	offer	offer	VERB
ejpam-6506	418	19	a	a	DET
ejpam-6506	418	20	more	more	ADV
ejpam-6506	418	21	profound	profound	ADJ
ejpam-6506	418	22	understanding	understanding	NOUN
ejpam-6506	418	23	of	of	ADP
ejpam-6506	418	24	the	the	DET
ejpam-6506	418	25	overall	overall	ADJ
ejpam-6506	418	26	behavior	behavior	NOUN
ejpam-6506	418	27	of	of	ADP
ejpam-6506	418	28	each	each	DET
ejpam-6506	418	29	discrete	discrete	ADJ
ejpam-6506	418	30	model	model	NOUN
ejpam-6506	418	31	.	.	PUNCT
ejpam-6506	419	1	in	in	ADP
ejpam-6506	419	2	the	the	DET
ejpam-6506	419	3	standard	standard	ADJ
ejpam-6506	419	4	scheme	scheme	NOUN
ejpam-6506	419	5	,	,	PUNCT
ejpam-6506	419	6	chaos	chaos	NOUN
ejpam-6506	419	7	predominantly	predominantly	ADV
ejpam-6506	419	8	appears	appear	VERB
ejpam-6506	419	9	in	in	ADP
ejpam-6506	419	10	areas	area	NOUN
ejpam-6506	419	11	where	where	SCONJ
ejpam-6506	419	12	a	a	DET
ejpam-6506	419	13	>	>	X
ejpam-6506	419	14	−1	−1	NOUN
ejpam-6506	419	15	and	and	CCONJ
ejpam-6506	419	16	h	h	NOUN
ejpam-6506	419	17	>	>	X
ejpam-6506	419	18	0.2	0.2	NUM
ejpam-6506	419	19	,	,	PUNCT
ejpam-6506	419	20	as	as	SCONJ
ejpam-6506	419	21	suggested	suggest	VERB
ejpam-6506	419	22	by	by	ADP
ejpam-6506	419	23	the	the	DET
ejpam-6506	419	24	lyapunov	lyapunov	ADJ
ejpam-6506	419	25	exponents	exponent	NOUN
ejpam-6506	419	26	that	that	PRON
ejpam-6506	419	27	are	be	AUX
ejpam-6506	419	28	near	near	ADP
ejpam-6506	419	29	zero	zero	NUM
ejpam-6506	419	30	or	or	CCONJ
ejpam-6506	419	31	positive	positive	ADJ
ejpam-6506	419	32	.	.	PUNCT
ejpam-6506	420	1	conversely	conversely	ADV
ejpam-6506	420	2	,	,	PUNCT
ejpam-6506	420	3	the	the	DET
ejpam-6506	420	4	nonstandard	nonstandard	ADJ
ejpam-6506	420	5	scheme	scheme	NOUN
ejpam-6506	420	6	displayed	display	VERB
ejpam-6506	420	7	a	a	DET
ejpam-6506	420	8	more	more	ADV
ejpam-6506	420	9	complex	complex	ADJ
ejpam-6506	420	10	pattern	pattern	NOUN
ejpam-6506	420	11	:	:	PUNCT
ejpam-6506	420	12	chaotic	chaotic	ADJ
ejpam-6506	420	13	regions	region	NOUN
ejpam-6506	420	14	emerged	emerge	VERB
ejpam-6506	420	15	even	even	ADV
ejpam-6506	420	16	with	with	ADP
ejpam-6506	420	17	relatively	relatively	ADV
ejpam-6506	420	18	low	low	ADJ
ejpam-6506	420	19	h	h	NOUN
ejpam-6506	420	20	values	value	NOUN
ejpam-6506	420	21	,	,	PUNCT
ejpam-6506	420	22	whereas	whereas	SCONJ
ejpam-6506	420	23	stable	stable	ADJ
ejpam-6506	420	24	areas	area	NOUN
ejpam-6506	420	25	were	be	AUX
ejpam-6506	420	26	maintained	maintain	VERB
ejpam-6506	420	27	more	more	ADV
ejpam-6506	420	28	extensively	extensively	ADV
ejpam-6506	420	29	across	across	ADP
ejpam-6506	420	30	the	the	DET
ejpam-6506	420	31	parameter	parameter	NOUN
ejpam-6506	420	32	space	space	NOUN
ejpam-6506	420	33	.	.	PUNCT
ejpam-6506	421	1	significantly	significantly	ADV
ejpam-6506	421	2	,	,	PUNCT
ejpam-6506	421	3	the	the	DET
ejpam-6506	421	4	lyapunov	lyapunov	ADJ
ejpam-6506	421	5	exponents	exponent	NOUN
ejpam-6506	421	6	from	from	ADP
ejpam-6506	421	7	the	the	DET
ejpam-6506	421	8	nonstandard	nonstandard	ADJ
ejpam-6506	421	9	scheme	scheme	NOUN
ejpam-6506	421	10	span	span	NOUN
ejpam-6506	421	11	a	a	DET
ejpam-6506	421	12	broader	broad	ADJ
ejpam-6506	421	13	range	range	NOUN
ejpam-6506	421	14	,	,	PUNCT
ejpam-6506	421	15	underscoring	underscore	VERB
ejpam-6506	421	16	the	the	DET
ejpam-6506	421	17	existence	existence	NOUN
ejpam-6506	421	18	of	of	ADP
ejpam-6506	421	19	more	more	ADJ
ejpam-6506	421	20	complex	complex	ADJ
ejpam-6506	421	21	dynamics	dynamic	NOUN
ejpam-6506	421	22	and	and	CCONJ
ejpam-6506	421	23	shifts	shift	NOUN
ejpam-6506	421	24	between	between	ADP
ejpam-6506	421	25	stability	stability	NOUN
ejpam-6506	421	26	and	and	CCONJ
ejpam-6506	421	27	chaos	chaos	NOUN
ejpam-6506	421	28	.	.	PUNCT
ejpam-6506	422	1	these	these	DET
ejpam-6506	422	2	findings	finding	NOUN
ejpam-6506	422	3	highlight	highlight	VERB
ejpam-6506	422	4	the	the	DET
ejpam-6506	422	5	benefits	benefit	NOUN
ejpam-6506	422	6	of	of	ADP
ejpam-6506	422	7	employing	employ	VERB
ejpam-6506	422	8	a	a	DET
ejpam-6506	422	9	nonstandard	nonstandard	ADJ
ejpam-6506	422	10	approach	approach	NOUN
ejpam-6506	422	11	for	for	ADP
ejpam-6506	422	12	discretizing	discretize	VERB
ejpam-6506	422	13	nonlinear	nonlinear	ADJ
ejpam-6506	422	14	systems	system	NOUN
ejpam-6506	422	15	with	with	ADP
ejpam-6506	422	16	sensitive	sensitive	ADJ
ejpam-6506	422	17	dynamics	dynamic	NOUN
ejpam-6506	422	18	.	.	PUNCT
ejpam-6506	423	1	the	the	DET
ejpam-6506	423	2	mickens	micken	NOUN
ejpam-6506	423	3	-	-	PUNCT
ejpam-6506	423	4	based	base	VERB
ejpam-6506	423	5	technique	technique	NOUN
ejpam-6506	423	6	not	not	PART
ejpam-6506	423	7	only	only	ADV
ejpam-6506	423	8	maintains	maintain	VERB
ejpam-6506	423	9	the	the	DET
ejpam-6506	423	10	equilibrium	equilibrium	NOUN
ejpam-6506	423	11	structure	structure	NOUN
ejpam-6506	423	12	but	but	CCONJ
ejpam-6506	423	13	also	also	ADV
ejpam-6506	423	14	enhances	enhance	VERB
ejpam-6506	423	15	stability	stability	NOUN
ejpam-6506	423	16	and	and	CCONJ
ejpam-6506	423	17	preserves	preserve	VERB
ejpam-6506	423	18	chaotic	chaotic	ADJ
ejpam-6506	423	19	dynamics	dynamic	NOUN
ejpam-6506	423	20	over	over	ADP
ejpam-6506	423	21	a	a	DET
ejpam-6506	423	22	wider	wide	ADJ
ejpam-6506	423	23	range	range	NOUN
ejpam-6506	423	24	of	of	ADP
ejpam-6506	423	25	parameter	parameter	NOUN
ejpam-6506	423	26	values	value	NOUN
ejpam-6506	423	27	and	and	CCONJ
ejpam-6506	423	28	time	time	NOUN
ejpam-6506	423	29	step	step	NOUN
ejpam-6506	423	30	sizes	size	NOUN
ejpam-6506	423	31	.	.	PUNCT
ejpam-6506	424	1	this	this	PRON
ejpam-6506	424	2	makes	make	VERB
ejpam-6506	424	3	it	it	PRON
ejpam-6506	424	4	an	an	DET
ejpam-6506	424	5	excellent	excellent	ADJ
ejpam-6506	424	6	option	option	NOUN
ejpam-6506	424	7	for	for	ADP
ejpam-6506	424	8	long	long	ADJ
ejpam-6506	424	9	-	-	PUNCT
ejpam-6506	424	10	term	term	NOUN
ejpam-6506	424	11	,	,	PUNCT
ejpam-6506	424	12	coarse	coarse	NOUN
ejpam-6506	424	13	-	-	PUNCT
ejpam-6506	424	14	grained	grain	VERB
ejpam-6506	424	15	numerical	numerical	ADJ
ejpam-6506	424	16	experiments	experiment	NOUN
ejpam-6506	424	17	.	.	PUNCT
ejpam-6506	425	1	these	these	DET
ejpam-6506	425	2	results	result	NOUN
ejpam-6506	425	3	also	also	ADV
ejpam-6506	425	4	emphasize	emphasize	VERB
ejpam-6506	425	5	the	the	DET
ejpam-6506	425	6	significance	significance	NOUN
ejpam-6506	425	7	of	of	ADP
ejpam-6506	425	8	choosing	choose	VERB
ejpam-6506	425	9	suitable	suitable	ADJ
ejpam-6506	425	10	numerical	numerical	ADJ
ejpam-6506	425	11	schemes	scheme	NOUN
ejpam-6506	425	12	when	when	SCONJ
ejpam-6506	425	13	studying	study	VERB
ejpam-6506	425	14	discretetime	discretetime	ADJ
ejpam-6506	425	15	dynamical	dynamical	ADJ
ejpam-6506	425	16	systems	system	NOUN
ejpam-6506	425	17	,	,	PUNCT
ejpam-6506	425	18	particularly	particularly	ADV
ejpam-6506	425	19	for	for	ADP
ejpam-6506	425	20	capturing	capture	VERB
ejpam-6506	425	21	intricate	intricate	ADJ
ejpam-6506	425	22	structures	structure	NOUN
ejpam-6506	425	23	such	such	ADJ
ejpam-6506	425	24	as	as	ADP
ejpam-6506	425	25	bifurcations	bifurcation	NOUN
ejpam-6506	425	26	and	and	CCONJ
ejpam-6506	425	27	chaotic	chaotic	ADJ
ejpam-6506	425	28	attractors	attractor	NOUN
ejpam-6506	425	29	.	.	PUNCT
ejpam-6506	426	1	future	future	ADJ
ejpam-6506	426	2	studies	study	NOUN
ejpam-6506	426	3	might	might	AUX
ejpam-6506	426	4	expand	expand	VERB
ejpam-6506	426	5	these	these	DET
ejpam-6506	426	6	methods	method	NOUN
ejpam-6506	426	7	to	to	PART
ejpam-6506	426	8	include	include	VERB
ejpam-6506	426	9	delayed	delay	VERB
ejpam-6506	426	10	,	,	PUNCT
ejpam-6506	426	11	fractional	fractional	ADJ
ejpam-6506	426	12	,	,	PUNCT
ejpam-6506	426	13	or	or	CCONJ
ejpam-6506	426	14	stochastic	stochastic	ADJ
ejpam-6506	426	15	versions	version	NOUN
ejpam-6506	426	16	of	of	ADP
ejpam-6506	426	17	the	the	DET
ejpam-6506	426	18	model	model	NOUN
ejpam-6506	426	19	,	,	PUNCT
ejpam-6506	426	20	or	or	CCONJ
ejpam-6506	426	21	explore	explore	VERB
ejpam-6506	426	22	the	the	DET
ejpam-6506	426	23	effects	effect	NOUN
ejpam-6506	426	24	of	of	ADP
ejpam-6506	426	25	other	other	ADJ
ejpam-6506	426	26	nonstandard	nonstandard	ADJ
ejpam-6506	426	27	discretization	discretization	NOUN
ejpam-6506	426	28	rules	rule	NOUN
ejpam-6506	426	29	on	on	ADP
ejpam-6506	426	30	various	various	ADJ
ejpam-6506	426	31	types	type	NOUN
ejpam-6506	426	32	of	of	ADP
ejpam-6506	426	33	dynamical	dynamical	ADJ
ejpam-6506	426	34	systems	system	NOUN
ejpam-6506	426	35	.	.	PUNCT
ejpam-6506	427	1	although	although	SCONJ
ejpam-6506	427	2	the	the	DET
ejpam-6506	427	3	findings	finding	NOUN
ejpam-6506	427	4	are	be	AUX
ejpam-6506	427	5	encouraging	encouraging	ADJ
ejpam-6506	427	6	,	,	PUNCT
ejpam-6506	427	7	this	this	DET
ejpam-6506	427	8	study	study	NOUN
ejpam-6506	427	9	had	have	VERB
ejpam-6506	427	10	several	several	ADJ
ejpam-6506	427	11	limitations	limitation	NOUN
ejpam-6506	427	12	.	.	PUNCT
ejpam-6506	428	1	first	first	ADV
ejpam-6506	428	2	,	,	PUNCT
ejpam-6506	428	3	the	the	DET
ejpam-6506	428	4	stability	stability	NOUN
ejpam-6506	428	5	analysis	analysis	NOUN
ejpam-6506	428	6	was	be	AUX
ejpam-6506	428	7	performed	perform	VERB
ejpam-6506	428	8	by	by	ADP
ejpam-6506	428	9	linearizing	linearize	VERB
ejpam-6506	428	10	around	around	ADP
ejpam-6506	428	11	fixed	fix	VERB
ejpam-6506	428	12	points	point	NOUN
ejpam-6506	428	13	,	,	PUNCT
ejpam-6506	428	14	which	which	PRON
ejpam-6506	428	15	only	only	ADV
ejpam-6506	428	16	describes	describe	VERB
ejpam-6506	428	17	local	local	ADJ
ejpam-6506	428	18	dynamics	dynamic	NOUN
ejpam-6506	428	19	and	and	CCONJ
ejpam-6506	428	20	does	do	AUX
ejpam-6506	428	21	not	not	PART
ejpam-6506	428	22	consider	consider	VERB
ejpam-6506	428	23	global	global	ADJ
ejpam-6506	428	24	phenomena	phenomenon	NOUN
ejpam-6506	428	25	,	,	PUNCT
ejpam-6506	428	26	such	such	ADJ
ejpam-6506	428	27	as	as	ADP
ejpam-6506	428	28	basin	basin	NOUN
ejpam-6506	428	29	structures	structure	NOUN
ejpam-6506	428	30	,	,	PUNCT
ejpam-6506	428	31	com	com	NOUN
ejpam-6506	428	32	.	.	PUNCT
ejpam-6506	428	33	f.	f.	PROPN
ejpam-6506	428	34	ansori	ansori	PROPN
ejpam-6506	428	35	et	et	PROPN
ejpam-6506	428	36	al	al	PROPN
ejpam-6506	428	37	.	.	PUNCT
ejpam-6506	428	38	/	/	SYM
ejpam-6506	428	39	eur	eur	PROPN
ejpam-6506	428	40	.	.	PUNCT
ejpam-6506	429	1	j.	j.	PROPN
ejpam-6506	429	2	pure	pure	PROPN
ejpam-6506	429	3	appl	appl	PROPN
ejpam-6506	429	4	.	.	PROPN
ejpam-6506	429	5	math	math	PROPN
ejpam-6506	429	6	,	,	PUNCT
ejpam-6506	429	7	18	18	NUM
ejpam-6506	429	8	(	(	PUNCT
ejpam-6506	429	9	4	4	NUM
ejpam-6506	429	10	)	)	PUNCT
ejpam-6506	429	11	(	(	PUNCT
ejpam-6506	429	12	2025	2025	NUM
ejpam-6506	429	13	)	)	PUNCT
ejpam-6506	429	14	,	,	PUNCT
ejpam-6506	429	15	6506	6506	NUM
ejpam-6506	429	16	24	24	NUM
ejpam-6506	429	17	of	of	ADP
ejpam-6506	429	18	27	27	NUM
ejpam-6506	429	19	existing	exist	VERB
ejpam-6506	429	20	attractors	attractor	NOUN
ejpam-6506	429	21	,	,	PUNCT
ejpam-6506	429	22	multi	multi	ADJ
ejpam-6506	429	23	-	-	NOUN
ejpam-6506	429	24	stability	stability	ADJ
ejpam-6506	429	25	,	,	PUNCT
ejpam-6506	429	26	invariant	invariant	ADJ
ejpam-6506	429	27	manifolds	manifold	NOUN
ejpam-6506	429	28	,	,	PUNCT
ejpam-6506	429	29	or	or	CCONJ
ejpam-6506	429	30	transient	transient	ADJ
ejpam-6506	429	31	chaos	chaos	NOUN
ejpam-6506	429	32	.	.	PUNCT
ejpam-6506	430	1	therefore	therefore	ADV
ejpam-6506	430	2	,	,	PUNCT
ejpam-6506	430	3	a	a	DET
ejpam-6506	430	4	comprehensive	comprehensive	ADJ
ejpam-6506	430	5	global	global	ADJ
ejpam-6506	430	6	study	study	NOUN
ejpam-6506	430	7	is	be	AUX
ejpam-6506	430	8	necessary	necessary	ADJ
ejpam-6506	430	9	to	to	PART
ejpam-6506	430	10	fully	fully	ADV
ejpam-6506	430	11	characterize	characterize	VERB
ejpam-6506	430	12	discrete	discrete	ADJ
ejpam-6506	430	13	dynamics	dynamic	NOUN
ejpam-6506	430	14	.	.	PUNCT
ejpam-6506	431	1	second	second	ADJ
ejpam-6506	431	2	,	,	PUNCT
ejpam-6506	431	3	the	the	DET
ejpam-6506	431	4	parameter	parameter	NOUN
ejpam-6506	431	5	space	space	NOUN
ejpam-6506	431	6	examined	examine	VERB
ejpam-6506	431	7	,	,	PUNCT
ejpam-6506	431	8	although	although	SCONJ
ejpam-6506	431	9	broad	broad	ADJ
ejpam-6506	431	10	,	,	PUNCT
ejpam-6506	431	11	was	be	AUX
ejpam-6506	431	12	restricted	restrict	VERB
ejpam-6506	431	13	to	to	ADP
ejpam-6506	431	14	two	two	NUM
ejpam-6506	431	15	control	control	NOUN
ejpam-6506	431	16	parameters	parameter	NOUN
ejpam-6506	431	17	(	(	PUNCT
ejpam-6506	431	18	a	a	PRON
ejpam-6506	431	19	and	and	CCONJ
ejpam-6506	431	20	h	h	NOUN
ejpam-6506	431	21	)	)	PUNCT
ejpam-6506	431	22	;	;	PUNCT
ejpam-6506	431	23	other	other	ADJ
ejpam-6506	431	24	factors	factor	NOUN
ejpam-6506	431	25	such	such	ADJ
ejpam-6506	431	26	as	as	ADP
ejpam-6506	431	27	perturbations	perturbation	NOUN
ejpam-6506	431	28	,	,	PUNCT
ejpam-6506	431	29	delay	delay	NOUN
ejpam-6506	431	30	effects	effect	NOUN
ejpam-6506	431	31	,	,	PUNCT
ejpam-6506	431	32	or	or	CCONJ
ejpam-6506	431	33	coupling	couple	VERB
ejpam-6506	431	34	with	with	ADP
ejpam-6506	431	35	additional	additional	ADJ
ejpam-6506	431	36	variables	variable	NOUN
ejpam-6506	431	37	were	be	AUX
ejpam-6506	431	38	not	not	PART
ejpam-6506	431	39	included	include	VERB
ejpam-6506	431	40	.	.	PUNCT
ejpam-6506	432	1	third	third	ADJ
ejpam-6506	432	2	,	,	PUNCT
ejpam-6506	432	3	while	while	SCONJ
ejpam-6506	432	4	the	the	DET
ejpam-6506	432	5	mickens	micken	NOUN
ejpam-6506	432	6	scheme	scheme	NOUN
ejpam-6506	432	7	used	use	VERB
ejpam-6506	432	8	here	here	ADV
ejpam-6506	432	9	offers	offer	VERB
ejpam-6506	432	10	improvements	improvement	NOUN
ejpam-6506	432	11	over	over	ADP
ejpam-6506	432	12	the	the	DET
ejpam-6506	432	13	euler	euler	NOUN
ejpam-6506	432	14	method	method	NOUN
ejpam-6506	432	15	,	,	PUNCT
ejpam-6506	432	16	other	other	ADJ
ejpam-6506	432	17	types	type	NOUN
ejpam-6506	432	18	of	of	ADP
ejpam-6506	432	19	nonstandard	nonstandard	ADJ
ejpam-6506	432	20	finite	finite	ADJ
ejpam-6506	432	21	-	-	PUNCT
ejpam-6506	432	22	difference	difference	NOUN
ejpam-6506	432	23	schemes	scheme	NOUN
ejpam-6506	432	24	with	with	ADP
ejpam-6506	432	25	different	different	ADJ
ejpam-6506	432	26	denominator	denominator	NOUN
ejpam-6506	432	27	functions	function	NOUN
ejpam-6506	432	28	or	or	CCONJ
ejpam-6506	432	29	implicit	implicit	ADJ
ejpam-6506	432	30	forms	form	NOUN
ejpam-6506	432	31	may	may	AUX
ejpam-6506	432	32	provide	provide	VERB
ejpam-6506	432	33	even	even	ADV
ejpam-6506	432	34	more	more	ADV
ejpam-6506	432	35	precise	precise	ADJ
ejpam-6506	432	36	long	long	ADJ
ejpam-6506	432	37	-	-	PUNCT
ejpam-6506	432	38	term	term	NOUN
ejpam-6506	432	39	behavior	behavior	NOUN
ejpam-6506	432	40	,	,	PUNCT
ejpam-6506	432	41	especially	especially	ADV
ejpam-6506	432	42	in	in	ADP
ejpam-6506	432	43	stiff	stiff	ADJ
ejpam-6506	432	44	systems	system	NOUN
ejpam-6506	432	45	.	.	PUNCT
ejpam-6506	433	1	finally	finally	ADV
ejpam-6506	433	2	,	,	PUNCT
ejpam-6506	433	3	the	the	DET
ejpam-6506	433	4	present	present	ADJ
ejpam-6506	433	5	work	work	NOUN
ejpam-6506	433	6	remains	remain	VERB
ejpam-6506	433	7	mathematical	mathematical	ADJ
ejpam-6506	433	8	in	in	ADP
ejpam-6506	433	9	nature	nature	NOUN
ejpam-6506	433	10	;	;	PUNCT
ejpam-6506	433	11	embedding	embed	VERB
ejpam-6506	433	12	the	the	DET
ejpam-6506	433	13	model	model	NOUN
ejpam-6506	433	14	into	into	ADP
ejpam-6506	433	15	physical	physical	ADJ
ejpam-6506	433	16	or	or	CCONJ
ejpam-6506	433	17	biological	biological	ADJ
ejpam-6506	433	18	contexts	context	NOUN
ejpam-6506	433	19	,	,	PUNCT
ejpam-6506	433	20	for	for	ADP
ejpam-6506	433	21	example	example	NOUN
ejpam-6506	433	22	,	,	PUNCT
ejpam-6506	433	23	chaotic	chaotic	ADJ
ejpam-6506	433	24	electronic	electronic	ADJ
ejpam-6506	433	25	circuits	circuit	NOUN
ejpam-6506	433	26	,	,	PUNCT
ejpam-6506	433	27	fractional	fractional	ADJ
ejpam-6506	433	28	-	-	PUNCT
ejpam-6506	433	29	order	order	NOUN
ejpam-6506	433	30	epidemiological	epidemiological	ADJ
ejpam-6506	433	31	transmission	transmission	NOUN
ejpam-6506	433	32	models	model	NOUN
ejpam-6506	433	33	,	,	PUNCT
ejpam-6506	433	34	or	or	CCONJ
ejpam-6506	433	35	ecological	ecological	ADJ
ejpam-6506	433	36	predator	predator	NOUN
ejpam-6506	433	37	–	–	PUNCT
ejpam-6506	433	38	prey	prey	NOUN
ejpam-6506	433	39	systems	system	NOUN
ejpam-6506	433	40	—	—	PUNCT
ejpam-6506	433	41	could	could	AUX
ejpam-6506	433	42	provide	provide	VERB
ejpam-6506	433	43	both	both	DET
ejpam-6506	433	44	practical	practical	ADJ
ejpam-6506	433	45	applications	application	NOUN
ejpam-6506	433	46	and	and	CCONJ
ejpam-6506	433	47	validation	validation	NOUN
ejpam-6506	433	48	of	of	ADP
ejpam-6506	433	49	the	the	DET
ejpam-6506	433	50	proposed	propose	VERB
ejpam-6506	433	51	discretization	discretization	NOUN
ejpam-6506	433	52	strategies	strategy	NOUN
ejpam-6506	433	53	.	.	PUNCT
ejpam-6506	434	1	future	future	ADJ
ejpam-6506	434	2	studies	study	NOUN
ejpam-6506	434	3	should	should	AUX
ejpam-6506	434	4	extend	extend	VERB
ejpam-6506	434	5	these	these	DET
ejpam-6506	434	6	results	result	NOUN
ejpam-6506	434	7	in	in	ADP
ejpam-6506	434	8	several	several	ADJ
ejpam-6506	434	9	ways	way	NOUN
ejpam-6506	434	10	.	.	PUNCT
ejpam-6506	435	1	possible	possible	ADJ
ejpam-6506	435	2	paths	path	NOUN
ejpam-6506	435	3	include	include	VERB
ejpam-6506	435	4	higher	high	ADJ
ejpam-6506	435	5	-	-	PUNCT
ejpam-6506	435	6	order	order	NOUN
ejpam-6506	435	7	nonstandard	nonstandard	ADJ
ejpam-6506	435	8	or	or	CCONJ
ejpam-6506	435	9	symplectic	symplectic	ADJ
ejpam-6506	435	10	schemes	scheme	NOUN
ejpam-6506	435	11	that	that	PRON
ejpam-6506	435	12	preserve	preserve	VERB
ejpam-6506	435	13	geometric	geometric	ADJ
ejpam-6506	435	14	invariants	invariant	NOUN
ejpam-6506	435	15	;	;	PUNCT
ejpam-6506	435	16	applications	application	NOUN
ejpam-6506	435	17	to	to	ADP
ejpam-6506	435	18	systems	system	NOUN
ejpam-6506	435	19	with	with	ADP
ejpam-6506	435	20	delays	delay	NOUN
ejpam-6506	435	21	,	,	PUNCT
ejpam-6506	435	22	fractional	fractional	ADJ
ejpam-6506	435	23	derivatives	derivative	NOUN
ejpam-6506	435	24	,	,	PUNCT
ejpam-6506	435	25	or	or	CCONJ
ejpam-6506	435	26	external	external	ADJ
ejpam-6506	435	27	forcing	forcing	NOUN
ejpam-6506	435	28	;	;	PUNCT
ejpam-6506	435	29	and	and	CCONJ
ejpam-6506	435	30	global	global	ADJ
ejpam-6506	435	31	bifurcation	bifurcation	NOUN
ejpam-6506	435	32	analyses	analysis	NOUN
ejpam-6506	435	33	,	,	PUNCT
ejpam-6506	435	34	including	include	VERB
ejpam-6506	435	35	invariant	invariant	ADJ
ejpam-6506	435	36	manifolds	manifold	NOUN
ejpam-6506	435	37	and	and	CCONJ
ejpam-6506	435	38	basin	basin	NOUN
ejpam-6506	435	39	boundaries	boundary	NOUN
ejpam-6506	435	40	.	.	PUNCT
ejpam-6506	436	1	computationally	computationally	ADV
ejpam-6506	436	2	,	,	PUNCT
ejpam-6506	436	3	adaptive	adaptive	ADJ
ejpam-6506	436	4	step	step	NOUN
ejpam-6506	436	5	-	-	PUNCT
ejpam-6506	436	6	size	size	NOUN
ejpam-6506	436	7	methods	method	NOUN
ejpam-6506	436	8	or	or	CCONJ
ejpam-6506	436	9	machine	machine	NOUN
ejpam-6506	436	10	learning	learning	NOUN
ejpam-6506	436	11	-	-	PUNCT
ejpam-6506	436	12	assisted	assist	VERB
ejpam-6506	436	13	bifurcation	bifurcation	NOUN
ejpam-6506	436	14	tracking	tracking	NOUN
ejpam-6506	436	15	may	may	AUX
ejpam-6506	436	16	improve	improve	VERB
ejpam-6506	436	17	efficiency	efficiency	NOUN
ejpam-6506	436	18	.	.	PUNCT
ejpam-6506	437	1	finally	finally	ADV
ejpam-6506	437	2	,	,	PUNCT
ejpam-6506	437	3	stochastic	stochastic	ADJ
ejpam-6506	437	4	extensions	extension	NOUN
ejpam-6506	437	5	of	of	ADP
ejpam-6506	437	6	discretized	discretized	ADJ
ejpam-6506	437	7	systems	system	NOUN
ejpam-6506	437	8	can	can	AUX
ejpam-6506	437	9	clarify	clarify	VERB
ejpam-6506	437	10	the	the	DET
ejpam-6506	437	11	role	role	NOUN
ejpam-6506	437	12	of	of	ADP
ejpam-6506	437	13	noise	noise	NOUN
ejpam-6506	437	14	in	in	ADP
ejpam-6506	437	15	discrete	discrete	ADJ
ejpam-6506	437	16	chaos	chaos	NOUN
ejpam-6506	437	17	.	.	PUNCT
ejpam-6506	438	1	in	in	ADP
ejpam-6506	438	2	particular	particular	ADJ
ejpam-6506	438	3	,	,	PUNCT
ejpam-6506	438	4	it	it	PRON
ejpam-6506	438	5	would	would	AUX
ejpam-6506	438	6	be	be	AUX
ejpam-6506	438	7	fruitful	fruitful	ADJ
ejpam-6506	438	8	to	to	PART
ejpam-6506	438	9	apply	apply	VERB
ejpam-6506	438	10	the	the	DET
ejpam-6506	438	11	present	present	ADJ
ejpam-6506	438	12	discretization	discretization	NOUN
ejpam-6506	438	13	strategies	strategy	NOUN
ejpam-6506	438	14	to	to	ADP
ejpam-6506	438	15	concrete	concrete	ADJ
ejpam-6506	438	16	models	model	NOUN
ejpam-6506	438	17	such	such	ADJ
ejpam-6506	438	18	as	as	ADP
ejpam-6506	438	19	lorenz	lorenz	PROPN
ejpam-6506	438	20	-	-	PUNCT
ejpam-6506	438	21	like	like	ADJ
ejpam-6506	438	22	chaotic	chaotic	ADJ
ejpam-6506	438	23	systems	system	NOUN
ejpam-6506	438	24	,	,	PUNCT
ejpam-6506	438	25	fractional	fractional	ADJ
ejpam-6506	438	26	-	-	PUNCT
ejpam-6506	438	27	order	order	NOUN
ejpam-6506	438	28	epidemiological	epidemiological	ADJ
ejpam-6506	438	29	models	model	NOUN
ejpam-6506	438	30	,	,	PUNCT
ejpam-6506	438	31	or	or	CCONJ
ejpam-6506	438	32	delayed	delay	VERB
ejpam-6506	438	33	feedback	feedback	NOUN
ejpam-6506	438	34	systems	system	NOUN
ejpam-6506	438	35	,	,	PUNCT
ejpam-6506	438	36	which	which	PRON
ejpam-6506	438	37	would	would	AUX
ejpam-6506	438	38	provide	provide	VERB
ejpam-6506	438	39	both	both	DET
ejpam-6506	438	40	theoretical	theoretical	ADJ
ejpam-6506	438	41	challenges	challenge	NOUN
ejpam-6506	438	42	and	and	CCONJ
ejpam-6506	438	43	practical	practical	ADJ
ejpam-6506	438	44	relevance	relevance	NOUN
ejpam-6506	438	45	for	for	ADP
ejpam-6506	438	46	future	future	ADJ
ejpam-6506	438	47	exploration	exploration	NOUN
ejpam-6506	438	48	.	.	PUNCT
ejpam-6506	439	1	we	we	PRON
ejpam-6506	439	2	hope	hope	VERB
ejpam-6506	439	3	that	that	SCONJ
ejpam-6506	439	4	these	these	DET
ejpam-6506	439	5	directions	direction	NOUN
ejpam-6506	439	6	will	will	AUX
ejpam-6506	439	7	stimulate	stimulate	VERB
ejpam-6506	439	8	further	further	ADJ
ejpam-6506	439	9	studies	study	NOUN
ejpam-6506	439	10	in	in	ADP
ejpam-6506	439	11	discrete	discrete	ADJ
ejpam-6506	439	12	nonlinear	nonlinear	ADJ
ejpam-6506	439	13	dynamics	dynamic	NOUN
ejpam-6506	439	14	.	.	PUNCT
ejpam-6506	440	1	acknowledgements	acknowledgement	NOUN
ejpam-6506	440	2	this	this	DET
ejpam-6506	440	3	research	research	NOUN
ejpam-6506	440	4	was	be	AUX
ejpam-6506	440	5	funded	fund	VERB
ejpam-6506	440	6	by	by	ADP
ejpam-6506	440	7	the	the	DET
ejpam-6506	440	8	faculty	faculty	NOUN
ejpam-6506	440	9	of	of	ADP
ejpam-6506	440	10	science	science	NOUN
ejpam-6506	440	11	and	and	CCONJ
ejpam-6506	440	12	mathematics	mathematic	NOUN
ejpam-6506	440	13	,	,	PUNCT
ejpam-6506	440	14	universitas	universita	NOUN
ejpam-6506	440	15	diponegoro	diponegoro	VERB
ejpam-6506	440	16	,	,	PUNCT
ejpam-6506	440	17	with	with	ADP
ejpam-6506	440	18	funding	funding	NOUN
ejpam-6506	440	19	from	from	ADP
ejpam-6506	440	20	selain	selain	NOUN
ejpam-6506	440	21	apbn	apbn	ADJ
ejpam-6506	440	22	universitas	universita	NOUN
ejpam-6506	440	23	diponegoro	diponegoro	PROPN
ejpam-6506	440	24	2025	2025	NUM
ejpam-6506	440	25	(	(	PUNCT
ejpam-6506	440	26	grant	grant	VERB
ejpam-6506	440	27	number	number	NOUN
ejpam-6506	440	28	26.g	26.g	NUM
ejpam-6506	440	29	/	/	SYM
ejpam-6506	440	30	un7.f8	un7.f8	PROPN
ejpam-6506	440	31	/	/	SYM
ejpam-6506	440	32	pp	pp	PROPN
ejpam-6506	440	33	/	/	SYM
ejpam-6506	440	34	ii/2025	ii/2025	PROPN
ejpam-6506	440	35	)	)	PUNCT
ejpam-6506	440	36	.	.	PUNCT
ejpam-6506	441	1	references	reference	NOUN
ejpam-6506	441	2	[	[	X
ejpam-6506	441	3	1	1	NUM
ejpam-6506	441	4	]	]	PUNCT
ejpam-6506	441	5	m.	m.	NOUN
ejpam-6506	441	6	molaie	molaie	PROPN
ejpam-6506	441	7	,	,	PUNCT
ejpam-6506	441	8	s.	s.	PROPN
ejpam-6506	441	9	jafari	jafari	PROPN
ejpam-6506	441	10	,	,	PUNCT
ejpam-6506	441	11	j.	j.	PROPN
ejpam-6506	441	12	c.	c.	PROPN
ejpam-6506	441	13	sprott	sprott	PROPN
ejpam-6506	441	14	,	,	PUNCT
ejpam-6506	441	15	and	and	CCONJ
ejpam-6506	441	16	s.	s.	PROPN
ejpam-6506	441	17	m.	m.	PROPN
ejpam-6506	441	18	r.	r.	PROPN
ejpam-6506	441	19	h.	h.	PROPN
ejpam-6506	441	20	golpayegani	golpayegani	PROPN
ejpam-6506	441	21	.	.	PUNCT
ejpam-6506	442	1	simple	simple	ADJ
ejpam-6506	442	2	chaotic	chaotic	ADJ
ejpam-6506	442	3	flows	flow	NOUN
ejpam-6506	442	4	with	with	ADP
ejpam-6506	442	5	one	one	NUM
ejpam-6506	442	6	stable	stable	ADJ
ejpam-6506	442	7	equilibrium	equilibrium	NOUN
ejpam-6506	442	8	.	.	PUNCT
ejpam-6506	443	1	international	international	ADJ
ejpam-6506	443	2	journal	journal	NOUN
ejpam-6506	443	3	of	of	ADP
ejpam-6506	443	4	bifurcation	bifurcation	NOUN
ejpam-6506	443	5	and	and	CCONJ
ejpam-6506	443	6	chaos	chaos	NOUN
ejpam-6506	443	7	,	,	PUNCT
ejpam-6506	443	8	23(11	23(11	NUM
ejpam-6506	443	9	)	)	PUNCT
ejpam-6506	443	10	,	,	PUNCT
ejpam-6506	443	11	2013	2013	NUM
ejpam-6506	443	12	.	.	PUNCT
ejpam-6506	444	1	[	[	X
ejpam-6506	444	2	2	2	X
ejpam-6506	444	3	]	]	PUNCT
ejpam-6506	444	4	v.	v.	ADP
ejpam-6506	444	5	t.	t.	PROPN
ejpam-6506	444	6	pham	pham	PROPN
ejpam-6506	444	7	,	,	PUNCT
ejpam-6506	444	8	s.	s.	PROPN
ejpam-6506	444	9	jafari	jafari	PROPN
ejpam-6506	444	10	,	,	PUNCT
ejpam-6506	444	11	c.	c.	PROPN
ejpam-6506	444	12	k.	k.	PROPN
ejpam-6506	444	13	volos	volos	PROPN
ejpam-6506	444	14	,	,	PUNCT
ejpam-6506	444	15	and	and	CCONJ
ejpam-6506	444	16	s.	s.	PROPN
ejpam-6506	444	17	vaidyanathan	vaidyanathan	PROPN
ejpam-6506	444	18	.	.	PUNCT
ejpam-6506	445	1	hidden	hide	VERB
ejpam-6506	445	2	attractors	attractor	NOUN
ejpam-6506	445	3	in	in	ADP
ejpam-6506	445	4	a	a	DET
ejpam-6506	445	5	chaotic	chaotic	ADJ
ejpam-6506	445	6	system	system	NOUN
ejpam-6506	445	7	with	with	ADP
ejpam-6506	445	8	an	an	DET
ejpam-6506	445	9	exponential	exponential	ADJ
ejpam-6506	445	10	nonlinear	nonlinear	ADJ
ejpam-6506	445	11	term	term	NOUN
ejpam-6506	445	12	.	.	PUNCT
ejpam-6506	446	1	the	the	DET
ejpam-6506	446	2	european	european	PROPN
ejpam-6506	446	3	physical	physical	PROPN
ejpam-6506	446	4	journal	journal	PROPN
ejpam-6506	446	5	special	special	ADJ
ejpam-6506	446	6	topics	topic	NOUN
ejpam-6506	446	7	,	,	PUNCT
ejpam-6506	446	8	224(8):1507–1517	224(8):1507–1517	PROPN
ejpam-6506	446	9	,	,	PUNCT
ejpam-6506	446	10	2015	2015	NUM
ejpam-6506	446	11	.	.	PUNCT
ejpam-6506	447	1	[	[	X
ejpam-6506	447	2	3	3	X
ejpam-6506	447	3	]	]	X
ejpam-6506	447	4	f.	f.	PROPN
ejpam-6506	447	5	r.	r.	PROPN
ejpam-6506	447	6	tahir	tahir	PROPN
ejpam-6506	447	7	,	,	PUNCT
ejpam-6506	447	8	s.	s.	PROPN
ejpam-6506	447	9	jafari	jafari	PROPN
ejpam-6506	447	10	,	,	PUNCT
ejpam-6506	447	11	v.	v.	ADP
ejpam-6506	447	12	t.	t.	PROPN
ejpam-6506	447	13	pham	pham	PROPN
ejpam-6506	447	14	,	,	PUNCT
ejpam-6506	447	15	c.	c.	PROPN
ejpam-6506	447	16	volos	volos	PROPN
ejpam-6506	447	17	,	,	PUNCT
ejpam-6506	447	18	and	and	CCONJ
ejpam-6506	447	19	x.	x.	PROPN
ejpam-6506	447	20	wang	wang	PROPN
ejpam-6506	447	21	.	.	PUNCT
ejpam-6506	448	1	a	a	DET
ejpam-6506	448	2	novel	novel	ADJ
ejpam-6506	448	3	no	no	DET
ejpam-6506	448	4	-	-	PUNCT
ejpam-6506	448	5	equilibrium	equilibrium	NOUN
ejpam-6506	448	6	chaotic	chaotic	ADJ
ejpam-6506	448	7	system	system	NOUN
ejpam-6506	448	8	with	with	ADP
ejpam-6506	448	9	multiwing	multiwe	VERB
ejpam-6506	448	10	butterfly	butterfly	NOUN
ejpam-6506	448	11	attractors	attractor	NOUN
ejpam-6506	448	12	.	.	PUNCT
ejpam-6506	449	1	international	international	ADJ
ejpam-6506	449	2	journal	journal	NOUN
ejpam-6506	449	3	of	of	ADP
ejpam-6506	449	4	bifurcation	bifurcation	NOUN
ejpam-6506	449	5	and	and	CCONJ
ejpam-6506	449	6	chaos	chaos	NOUN
ejpam-6506	449	7	,	,	PUNCT
ejpam-6506	449	8	25(4	25(4	NOUN
ejpam-6506	449	9	)	)	PUNCT
ejpam-6506	449	10	,	,	PUNCT
ejpam-6506	449	11	2015	2015	NUM
ejpam-6506	449	12	.	.	PUNCT
ejpam-6506	450	1	[	[	X
ejpam-6506	450	2	4	4	X
ejpam-6506	450	3	]	]	X
ejpam-6506	450	4	d.	d.	PROPN
ejpam-6506	450	5	dudkowski	dudkowski	PROPN
ejpam-6506	450	6	,	,	PUNCT
ejpam-6506	450	7	s.	s.	PROPN
ejpam-6506	450	8	jafari	jafari	PROPN
ejpam-6506	450	9	,	,	PUNCT
ejpam-6506	450	10	t.	t.	PROPN
ejpam-6506	450	11	kapitaniak	kapitaniak	PROPN
ejpam-6506	450	12	,	,	PUNCT
ejpam-6506	450	13	n.	n.	PROPN
ejpam-6506	450	14	v.	v.	PROPN
ejpam-6506	450	15	kuznetsov	kuznetsov	PROPN
ejpam-6506	450	16	,	,	PUNCT
ejpam-6506	450	17	g.	g.	PROPN
ejpam-6506	450	18	a.	a.	NOUN
ejpam-6506	450	19	leonov	leonov	PROPN
ejpam-6506	450	20	,	,	PUNCT
ejpam-6506	450	21	and	and	CCONJ
ejpam-6506	450	22	m.	m.	PROPN
ejpam-6506	450	23	f.	f.	PROPN
ejpam-6506	450	24	ansori	ansori	PROPN
ejpam-6506	450	25	et	et	PROPN
ejpam-6506	450	26	al	al	PROPN
ejpam-6506	450	27	.	.	PUNCT
ejpam-6506	450	28	/	/	SYM
ejpam-6506	450	29	eur	eur	PROPN
ejpam-6506	450	30	.	.	PUNCT
ejpam-6506	451	1	j.	j.	PROPN
ejpam-6506	451	2	pure	pure	PROPN
ejpam-6506	451	3	appl	appl	PROPN
ejpam-6506	451	4	.	.	PROPN
ejpam-6506	451	5	math	math	PROPN
ejpam-6506	451	6	,	,	PUNCT
ejpam-6506	451	7	18	18	NUM
ejpam-6506	451	8	(	(	PUNCT
ejpam-6506	451	9	4	4	NUM
ejpam-6506	451	10	)	)	PUNCT
ejpam-6506	451	11	(	(	PUNCT
ejpam-6506	451	12	2025	2025	NUM
ejpam-6506	451	13	)	)	PUNCT
ejpam-6506	451	14	,	,	PUNCT
ejpam-6506	451	15	6506	6506	NUM
ejpam-6506	451	16	25	25	NUM
ejpam-6506	451	17	of	of	ADP
ejpam-6506	451	18	27	27	NUM
ejpam-6506	451	19	a.	a.	NOUN
ejpam-6506	451	20	prasad	prasad	PROPN
ejpam-6506	451	21	.	.	PUNCT
ejpam-6506	452	1	hidden	hide	VERB
ejpam-6506	452	2	attractors	attractor	NOUN
ejpam-6506	452	3	in	in	ADP
ejpam-6506	452	4	dynamical	dynamical	ADJ
ejpam-6506	452	5	systems	system	NOUN
ejpam-6506	452	6	.	.	PUNCT
ejpam-6506	453	1	physics	physics	NOUN
ejpam-6506	453	2	reports	report	NOUN
ejpam-6506	453	3	,	,	PUNCT
ejpam-6506	453	4	637:1–50	637:1–50	NUM
ejpam-6506	453	5	,	,	PUNCT
ejpam-6506	453	6	2016	2016	NUM
ejpam-6506	453	7	.	.	PUNCT
ejpam-6506	454	1	[	[	X
ejpam-6506	454	2	5	5	X
ejpam-6506	454	3	]	]	PUNCT
ejpam-6506	454	4	m.	m.	NOUN
ejpam-6506	454	5	parsamanesh	parsamanesh	NOUN
ejpam-6506	454	6	and	and	CCONJ
ejpam-6506	454	7	m.	m.	NOUN
ejpam-6506	454	8	gümüş.	gümüş.	NOUN
ejpam-6506	454	9	qualitative	qualitative	ADJ
ejpam-6506	454	10	study	study	NOUN
ejpam-6506	454	11	for	for	ADP
ejpam-6506	454	12	the	the	DET
ejpam-6506	454	13	system	system	NOUN
ejpam-6506	454	14	of	of	ADP
ejpam-6506	454	15	waste	waste	NOUN
ejpam-6506	454	16	plastic	plastic	NOUN
ejpam-6506	454	17	management	management	NOUN
ejpam-6506	454	18	in	in	ADP
ejpam-6506	454	19	the	the	DET
ejpam-6506	454	20	ocean	ocean	NOUN
ejpam-6506	454	21	:	:	PUNCT
ejpam-6506	454	22	a	a	DET
ejpam-6506	454	23	discrete	discrete	ADJ
ejpam-6506	454	24	-	-	PUNCT
ejpam-6506	454	25	time	time	NOUN
ejpam-6506	454	26	deterministic	deterministic	ADJ
ejpam-6506	454	27	model	model	NOUN
ejpam-6506	454	28	.	.	PUNCT
ejpam-6506	455	1	communications	communication	NOUN
ejpam-6506	455	2	in	in	ADP
ejpam-6506	455	3	nonlinear	nonlinear	ADJ
ejpam-6506	455	4	science	science	NOUN
ejpam-6506	455	5	and	and	CCONJ
ejpam-6506	455	6	numerical	numerical	PROPN
ejpam-6506	455	7	simulation	simulation	PROPN
ejpam-6506	455	8	,	,	PUNCT
ejpam-6506	455	9	page	page	NOUN
ejpam-6506	455	10	108617	108617	NUM
ejpam-6506	455	11	,	,	PUNCT
ejpam-6506	455	12	2025	2025	NUM
ejpam-6506	455	13	.	.	PUNCT
ejpam-6506	456	1	[	[	X
ejpam-6506	456	2	6	6	NUM
ejpam-6506	456	3	]	]	PUNCT
ejpam-6506	456	4	d.	d.	PROPN
ejpam-6506	456	5	t.	t.	PROPN
ejpam-6506	456	6	wood	wood	PROPN
ejpam-6506	456	7	,	,	PUNCT
ejpam-6506	456	8	h.	h.	PROPN
ejpam-6506	456	9	v.	v.	PROPN
ejpam-6506	456	10	kojouharov	kojouharov	PROPN
ejpam-6506	456	11	,	,	PUNCT
ejpam-6506	456	12	and	and	CCONJ
ejpam-6506	456	13	d.	d.	PROPN
ejpam-6506	456	14	t.	t.	PROPN
ejpam-6506	456	15	dimitrov	dimitrov	PROPN
ejpam-6506	456	16	.	.	PUNCT
ejpam-6506	457	1	universal	universal	ADJ
ejpam-6506	457	2	approaches	approach	NOUN
ejpam-6506	457	3	to	to	PART
ejpam-6506	457	4	approximate	approximate	ADJ
ejpam-6506	457	5	biological	biological	ADJ
ejpam-6506	457	6	systems	system	NOUN
ejpam-6506	457	7	with	with	ADP
ejpam-6506	457	8	nonstandard	nonstandard	ADJ
ejpam-6506	457	9	finite	finite	ADJ
ejpam-6506	457	10	difference	difference	NOUN
ejpam-6506	457	11	methods	method	NOUN
ejpam-6506	457	12	.	.	PUNCT
ejpam-6506	458	1	mathematics	mathematic	NOUN
ejpam-6506	458	2	and	and	CCONJ
ejpam-6506	458	3	computers	computer	NOUN
ejpam-6506	458	4	in	in	ADP
ejpam-6506	458	5	simulation	simulation	NOUN
ejpam-6506	458	6	,	,	PUNCT
ejpam-6506	458	7	133:337–350	133:337–350	NUM
ejpam-6506	458	8	,	,	PUNCT
ejpam-6506	458	9	2017	2017	NUM
ejpam-6506	458	10	.	.	PUNCT
ejpam-6506	459	1	[	[	X
ejpam-6506	459	2	7	7	X
ejpam-6506	459	3	]	]	X
ejpam-6506	459	4	m.	m.	NOUN
ejpam-6506	459	5	gümüş	gümüş	PROPN
ejpam-6506	459	6	and	and	CCONJ
ejpam-6506	459	7	k.	k.	PROPN
ejpam-6506	459	8	türk	türk	PROPN
ejpam-6506	459	9	.	.	PUNCT
ejpam-6506	460	1	a	a	DET
ejpam-6506	460	2	note	note	NOUN
ejpam-6506	460	3	on	on	ADP
ejpam-6506	460	4	the	the	DET
ejpam-6506	460	5	dynamics	dynamic	NOUN
ejpam-6506	460	6	of	of	ADP
ejpam-6506	460	7	a	a	DET
ejpam-6506	460	8	covid-19	covid-19	PROPN
ejpam-6506	460	9	epidemic	epidemic	NOUN
ejpam-6506	460	10	model	model	NOUN
ejpam-6506	460	11	with	with	ADP
ejpam-6506	460	12	saturated	saturate	VERB
ejpam-6506	460	13	incidence	incidence	NOUN
ejpam-6506	460	14	rate	rate	NOUN
ejpam-6506	460	15	.	.	PUNCT
ejpam-6506	461	1	the	the	DET
ejpam-6506	461	2	european	european	PROPN
ejpam-6506	461	3	physical	physical	PROPN
ejpam-6506	461	4	journal	journal	PROPN
ejpam-6506	461	5	special	special	ADJ
ejpam-6506	461	6	topics	topic	NOUN
ejpam-6506	461	7	,	,	PUNCT
ejpam-6506	461	8	pages	page	NOUN
ejpam-6506	461	9	1–8	1–8	NUM
ejpam-6506	461	10	,	,	PUNCT
ejpam-6506	461	11	2024	2024	NUM
ejpam-6506	461	12	.	.	PUNCT
ejpam-6506	462	1	[	[	X
ejpam-6506	462	2	8	8	X
ejpam-6506	462	3	]	]	PUNCT
ejpam-6506	462	4	j.	j.	PROPN
ejpam-6506	462	5	nainggolan	nainggolan	PROPN
ejpam-6506	462	6	,	,	PUNCT
ejpam-6506	462	7	m.	m.	PROPN
ejpam-6506	462	8	f.	f.	PROPN
ejpam-6506	462	9	ansori	ansori	PROPN
ejpam-6506	462	10	,	,	PUNCT
ejpam-6506	462	11	and	and	CCONJ
ejpam-6506	462	12	h.	h.	PROPN
ejpam-6506	462	13	tasman	tasman	PROPN
ejpam-6506	462	14	.	.	PUNCT
ejpam-6506	463	1	an	an	DET
ejpam-6506	463	2	optimal	optimal	ADJ
ejpam-6506	463	3	control	control	NOUN
ejpam-6506	463	4	model	model	NOUN
ejpam-6506	463	5	with	with	ADP
ejpam-6506	463	6	sensitivity	sensitivity	NOUN
ejpam-6506	463	7	analysis	analysis	NOUN
ejpam-6506	463	8	for	for	ADP
ejpam-6506	463	9	covid-19	covid-19	PROPN
ejpam-6506	463	10	transmission	transmission	NOUN
ejpam-6506	463	11	using	use	VERB
ejpam-6506	463	12	logistic	logistic	ADJ
ejpam-6506	463	13	recruitment	recruitment	NOUN
ejpam-6506	463	14	rate	rate	NOUN
ejpam-6506	463	15	.	.	PUNCT
ejpam-6506	464	1	healthcare	healthcare	NOUN
ejpam-6506	464	2	analytics	analytic	NOUN
ejpam-6506	464	3	,	,	PUNCT
ejpam-6506	464	4	page	page	NOUN
ejpam-6506	464	5	100375	100375	NUM
ejpam-6506	464	6	,	,	PUNCT
ejpam-6506	464	7	2025	2025	NUM
ejpam-6506	464	8	.	.	PUNCT
ejpam-6506	465	1	[	[	X
ejpam-6506	465	2	9	9	NUM
ejpam-6506	465	3	]	]	X
ejpam-6506	465	4	y.	y.	PROPN
ejpam-6506	465	5	halim	halim	PROPN
ejpam-6506	465	6	,	,	PUNCT
ejpam-6506	465	7	a.	a.	PROPN
ejpam-6506	465	8	allam	allam	PROPN
ejpam-6506	465	9	,	,	PUNCT
ejpam-6506	465	10	m.	m.	NOUN
ejpam-6506	465	11	fečkan	fečkan	PROPN
ejpam-6506	465	12	,	,	PUNCT
ejpam-6506	465	13	i.	i.	NOUN
ejpam-6506	465	14	redjam	redjam	PROPN
ejpam-6506	465	15	,	,	PUNCT
ejpam-6506	465	16	and	and	CCONJ
ejpam-6506	465	17	m.	m.	NOUN
ejpam-6506	465	18	gümüş.	gümüş.	NOUN
ejpam-6506	465	19	exploring	explore	VERB
ejpam-6506	465	20	competitive	competitive	ADJ
ejpam-6506	465	21	,	,	PUNCT
ejpam-6506	465	22	mutualistic	mutualistic	ADJ
ejpam-6506	465	23	,	,	PUNCT
ejpam-6506	465	24	and	and	CCONJ
ejpam-6506	465	25	other	other	ADJ
ejpam-6506	465	26	interactions	interaction	NOUN
ejpam-6506	465	27	in	in	ADP
ejpam-6506	465	28	a	a	DET
ejpam-6506	465	29	discrete	discrete	ADJ
ejpam-6506	465	30	community	community	NOUN
ejpam-6506	465	31	model	model	NOUN
ejpam-6506	465	32	.	.	PUNCT
ejpam-6506	466	1	journal	journal	PROPN
ejpam-6506	466	2	of	of	ADP
ejpam-6506	466	3	applied	apply	VERB
ejpam-6506	466	4	mathematics	mathematic	NOUN
ejpam-6506	466	5	and	and	CCONJ
ejpam-6506	466	6	computing	computing	NOUN
ejpam-6506	466	7	,	,	PUNCT
ejpam-6506	466	8	pages	page	NOUN
ejpam-6506	466	9	1–30	1–30	PROPN
ejpam-6506	466	10	,	,	PUNCT
ejpam-6506	466	11	2025	2025	NUM
ejpam-6506	466	12	.	.	PUNCT
ejpam-6506	467	1	[	[	X
ejpam-6506	467	2	10	10	NUM
ejpam-6506	467	3	]	]	PUNCT
ejpam-6506	467	4	m.	m.	PROPN
ejpam-6506	467	5	f.	f.	PROPN
ejpam-6506	467	6	ansori	ansori	PROPN
ejpam-6506	467	7	,	,	PUNCT
ejpam-6506	467	8	s.	s.	PROPN
ejpam-6506	467	9	brianzoni	brianzoni	PROPN
ejpam-6506	467	10	,	,	PUNCT
ejpam-6506	467	11	and	and	CCONJ
ejpam-6506	467	12	g.	g.	PROPN
ejpam-6506	467	13	campisi	campisi	PROPN
ejpam-6506	467	14	.	.	PUNCT
ejpam-6506	468	1	bifurcations	bifurcation	NOUN
ejpam-6506	468	2	and	and	CCONJ
ejpam-6506	468	3	complex	complex	ADJ
ejpam-6506	468	4	dynamics	dynamic	NOUN
ejpam-6506	468	5	in	in	ADP
ejpam-6506	468	6	a	a	DET
ejpam-6506	468	7	banking	banking	NOUN
ejpam-6506	468	8	duopoly	duopoly	ADJ
ejpam-6506	468	9	model	model	NOUN
ejpam-6506	468	10	with	with	ADP
ejpam-6506	468	11	macroprudential	macroprudential	ADJ
ejpam-6506	468	12	policy	policy	NOUN
ejpam-6506	468	13	.	.	PUNCT
ejpam-6506	469	1	physica	physica	VERB
ejpam-6506	469	2	a	a	DET
ejpam-6506	469	3	:	:	PUNCT
ejpam-6506	469	4	statistical	statistical	ADJ
ejpam-6506	469	5	mechanics	mechanic	NOUN
ejpam-6506	469	6	and	and	CCONJ
ejpam-6506	469	7	its	its	PRON
ejpam-6506	469	8	applications	application	NOUN
ejpam-6506	469	9	,	,	PUNCT
ejpam-6506	469	10	641:129730	641:129730	NUM
ejpam-6506	469	11	,	,	PUNCT
ejpam-6506	469	12	2024	2024	NUM
ejpam-6506	469	13	.	.	PUNCT
ejpam-6506	470	1	[	[	X
ejpam-6506	470	2	11	11	NUM
ejpam-6506	470	3	]	]	PUNCT
ejpam-6506	470	4	m.	m.	PROPN
ejpam-6506	470	5	f.	f.	PROPN
ejpam-6506	470	6	ansori	ansori	PROPN
ejpam-6506	470	7	,	,	PUNCT
ejpam-6506	470	8	n.	n.	PROPN
ejpam-6506	470	9	y.	y.	PROPN
ejpam-6506	470	10	ashar	ashar	PROPN
ejpam-6506	470	11	,	,	PUNCT
ejpam-6506	470	12	and	and	CCONJ
ejpam-6506	470	13	h.	h.	PROPN
ejpam-6506	470	14	k.	k.	PROPN
ejpam-6506	470	15	fata	fata	PROPN
ejpam-6506	470	16	.	.	PUNCT
ejpam-6506	470	17	logistic	logistic	ADJ
ejpam-6506	470	18	map	map	NOUN
ejpam-6506	470	19	-	-	PUNCT
ejpam-6506	470	20	based	base	VERB
ejpam-6506	470	21	banking	banking	NOUN
ejpam-6506	470	22	loan	loan	NOUN
ejpam-6506	470	23	dynamics	dynamic	NOUN
ejpam-6506	470	24	with	with	ADP
ejpam-6506	470	25	central	central	ADJ
ejpam-6506	470	26	bank	bank	NOUN
ejpam-6506	470	27	policies	policy	NOUN
ejpam-6506	470	28	.	.	PUNCT
ejpam-6506	471	1	journal	journal	NOUN
ejpam-6506	471	2	of	of	ADP
ejpam-6506	471	3	applied	apply	VERB
ejpam-6506	471	4	nonlinear	nonlinear	ADJ
ejpam-6506	471	5	dynamics	dynamic	NOUN
ejpam-6506	471	6	,	,	PUNCT
ejpam-6506	471	7	14(03):561–574	14(03):561–574	NUM
ejpam-6506	471	8	,	,	PUNCT
ejpam-6506	471	9	2025	2025	NUM
ejpam-6506	471	10	.	.	PUNCT
ejpam-6506	472	1	[	[	X
ejpam-6506	472	2	12	12	NUM
ejpam-6506	472	3	]	]	PUNCT
ejpam-6506	472	4	s.	s.	PROPN
ejpam-6506	472	5	lasfar	lasfar	PROPN
ejpam-6506	472	6	,	,	PUNCT
ejpam-6506	472	7	m.	m.	NOUN
ejpam-6506	472	8	elkarmouchi	elkarmouchi	PROPN
ejpam-6506	472	9	,	,	PUNCT
ejpam-6506	472	10	k.	k.	PROPN
ejpam-6506	472	11	hattaf	hattaf	NOUN
ejpam-6506	472	12	,	,	PUNCT
ejpam-6506	472	13	and	and	CCONJ
ejpam-6506	472	14	n.	n.	PROPN
ejpam-6506	472	15	yousfi	yousfi	PROPN
ejpam-6506	472	16	.	.	PUNCT
ejpam-6506	473	1	mathematical	mathematical	ADJ
ejpam-6506	473	2	analysis	analysis	NOUN
ejpam-6506	473	3	of	of	ADP
ejpam-6506	473	4	the	the	DET
ejpam-6506	473	5	dynamics	dynamic	NOUN
ejpam-6506	473	6	of	of	ADP
ejpam-6506	473	7	a	a	DET
ejpam-6506	473	8	fractional	fractional	ADJ
ejpam-6506	473	9	economic	economic	ADJ
ejpam-6506	473	10	cycle	cycle	NOUN
ejpam-6506	473	11	model	model	NOUN
ejpam-6506	473	12	and	and	CCONJ
ejpam-6506	473	13	the	the	DET
ejpam-6506	473	14	existence	existence	NOUN
ejpam-6506	473	15	of	of	ADP
ejpam-6506	473	16	solutions	solution	NOUN
ejpam-6506	473	17	by	by	ADP
ejpam-6506	473	18	means	mean	NOUN
ejpam-6506	473	19	of	of	ADP
ejpam-6506	473	20	fixed	fix	VERB
ejpam-6506	473	21	point	point	NOUN
ejpam-6506	473	22	theory	theory	NOUN
ejpam-6506	473	23	.	.	PUNCT
ejpam-6506	474	1	advances	advance	NOUN
ejpam-6506	474	2	in	in	ADP
ejpam-6506	474	3	fixed	fix	VERB
ejpam-6506	474	4	point	point	NOUN
ejpam-6506	474	5	theory	theory	NOUN
ejpam-6506	474	6	,	,	PUNCT
ejpam-6506	474	7	14	14	NUM
ejpam-6506	474	8	,	,	PUNCT
ejpam-6506	474	9	2024	2024	NUM
ejpam-6506	474	10	.	.	PUNCT
ejpam-6506	475	1	[	[	X
ejpam-6506	475	2	13	13	NUM
ejpam-6506	475	3	]	]	PUNCT
ejpam-6506	475	4	i.	i.	NOUN
ejpam-6506	475	5	ispolatov	ispolatov	PROPN
ejpam-6506	475	6	,	,	PUNCT
ejpam-6506	475	7	s.	s.	PROPN
ejpam-6506	475	8	allende	allende	PROPN
ejpam-6506	475	9	,	,	PUNCT
ejpam-6506	475	10	m.	m.	NOUN
ejpam-6506	475	11	doebeli	doebeli	PROPN
ejpam-6506	475	12	,	,	PUNCT
ejpam-6506	475	13	and	and	CCONJ
ejpam-6506	476	1	v.	v.	ADP
ejpam-6506	476	2	madhok	madhok	NOUN
ejpam-6506	476	3	.	.	PUNCT
ejpam-6506	477	1	chaos	chaos	NOUN
ejpam-6506	477	2	in	in	ADP
ejpam-6506	477	3	high	high	ADJ
ejpam-6506	477	4	-	-	PUNCT
ejpam-6506	477	5	dimensional	dimensional	ADJ
ejpam-6506	477	6	dissipative	dissipative	ADJ
ejpam-6506	477	7	dynamical	dynamical	ADJ
ejpam-6506	477	8	systems	system	NOUN
ejpam-6506	477	9	.	.	PUNCT
ejpam-6506	478	1	scientific	scientific	ADJ
ejpam-6506	478	2	reports	report	NOUN
ejpam-6506	478	3	,	,	PUNCT
ejpam-6506	478	4	5(1):12506	5(1):12506	NUM
ejpam-6506	478	5	,	,	PUNCT
ejpam-6506	478	6	2015	2015	NUM
ejpam-6506	478	7	.	.	PUNCT
ejpam-6506	479	1	[	[	X
ejpam-6506	479	2	14	14	NUM
ejpam-6506	479	3	]	]	X
ejpam-6506	479	4	s.	s.	PROPN
ejpam-6506	479	5	jafari	jafari	PROPN
ejpam-6506	479	6	,	,	PUNCT
ejpam-6506	479	7	j.	j.	PROPN
ejpam-6506	479	8	c.	c.	PROPN
ejpam-6506	479	9	sprott	sprott	PROPN
ejpam-6506	479	10	,	,	PUNCT
ejpam-6506	479	11	and	and	CCONJ
ejpam-6506	479	12	s.	s.	PROPN
ejpam-6506	479	13	m.	m.	PROPN
ejpam-6506	479	14	r.	r.	PROPN
ejpam-6506	479	15	h.	h.	PROPN
ejpam-6506	479	16	golpayegani	golpayegani	PROPN
ejpam-6506	479	17	.	.	PUNCT
ejpam-6506	480	1	elementary	elementary	ADJ
ejpam-6506	480	2	quadratic	quadratic	ADJ
ejpam-6506	480	3	chaotic	chaotic	ADJ
ejpam-6506	480	4	flows	flow	NOUN
ejpam-6506	480	5	with	with	ADP
ejpam-6506	480	6	no	no	DET
ejpam-6506	480	7	equilibria	equilibria	NOUN
ejpam-6506	480	8	.	.	PUNCT
ejpam-6506	481	1	physics	physics	NOUN
ejpam-6506	481	2	letters	letter	NOUN
ejpam-6506	481	3	a	a	DET
ejpam-6506	481	4	,	,	PUNCT
ejpam-6506	481	5	377(9):699–702	377(9):699–702	NUM
ejpam-6506	481	6	,	,	PUNCT
ejpam-6506	481	7	2013	2013	NUM
ejpam-6506	481	8	.	.	PUNCT
ejpam-6506	482	1	[	[	X
ejpam-6506	482	2	15	15	NUM
ejpam-6506	482	3	]	]	PUNCT
ejpam-6506	482	4	a.	a.	NOUN
ejpam-6506	482	5	akgul	akgul	NOUN
ejpam-6506	482	6	and	and	CCONJ
ejpam-6506	482	7	i.	i.	PROPN
ejpam-6506	482	8	pehlivan	pehlivan	PROPN
ejpam-6506	482	9	.	.	PUNCT
ejpam-6506	483	1	a	a	DET
ejpam-6506	483	2	new	new	ADJ
ejpam-6506	483	3	three	three	NUM
ejpam-6506	483	4	-	-	PUNCT
ejpam-6506	483	5	dimensional	dimensional	ADJ
ejpam-6506	483	6	chaotic	chaotic	ADJ
ejpam-6506	483	7	system	system	NOUN
ejpam-6506	483	8	without	without	ADP
ejpam-6506	483	9	equilibrium	equilibrium	NOUN
ejpam-6506	483	10	points	point	NOUN
ejpam-6506	483	11	,	,	PUNCT
ejpam-6506	483	12	its	its	PRON
ejpam-6506	483	13	dynamical	dynamical	ADJ
ejpam-6506	483	14	analyses	analysis	NOUN
ejpam-6506	483	15	and	and	CCONJ
ejpam-6506	483	16	electronic	electronic	ADJ
ejpam-6506	483	17	circuit	circuit	NOUN
ejpam-6506	483	18	application	application	NOUN
ejpam-6506	483	19	.	.	PUNCT
ejpam-6506	484	1	technical	technical	ADJ
ejpam-6506	484	2	gazette	gazette	PROPN
ejpam-6506	484	3	,	,	PUNCT
ejpam-6506	484	4	23(1):209–214	23(1):209–214	PROPN
ejpam-6506	484	5	,	,	PUNCT
ejpam-6506	484	6	2016	2016	NUM
ejpam-6506	484	7	.	.	PUNCT
ejpam-6506	485	1	[	[	X
ejpam-6506	485	2	16	16	NUM
ejpam-6506	485	3	]	]	PUNCT
ejpam-6506	485	4	j.	j.	PROPN
ejpam-6506	485	5	o.	o.	PROPN
ejpam-6506	485	6	maaita	maaita	PROPN
ejpam-6506	485	7	,	,	PUNCT
ejpam-6506	485	8	ch	ch	PROPN
ejpam-6506	485	9	.	.	PUNCT
ejpam-6506	485	10	k.	k.	PROPN
ejpam-6506	485	11	volos	volos	PROPN
ejpam-6506	485	12	,	,	PUNCT
ejpam-6506	485	13	i.	i.	PROPN
ejpam-6506	485	14	m.	m.	PROPN
ejpam-6506	485	15	kyprianidis	kyprianidis	PROPN
ejpam-6506	485	16	,	,	PUNCT
ejpam-6506	485	17	and	and	CCONJ
ejpam-6506	485	18	i.	i.	PROPN
ejpam-6506	485	19	n.	n.	PROPN
ejpam-6506	485	20	stouboulos	stouboulos	PROPN
ejpam-6506	485	21	.	.	PUNCT
ejpam-6506	486	1	the	the	DET
ejpam-6506	486	2	dynamics	dynamic	NOUN
ejpam-6506	486	3	of	of	ADP
ejpam-6506	486	4	a	a	DET
ejpam-6506	486	5	cubic	cubic	ADJ
ejpam-6506	486	6	nonlinear	nonlinear	ADJ
ejpam-6506	486	7	system	system	NOUN
ejpam-6506	486	8	with	with	ADP
ejpam-6506	486	9	no	no	DET
ejpam-6506	486	10	equilibrium	equilibrium	NOUN
ejpam-6506	486	11	point	point	NOUN
ejpam-6506	486	12	.	.	PUNCT
ejpam-6506	487	1	journal	journal	PROPN
ejpam-6506	487	2	of	of	ADP
ejpam-6506	487	3	nonlinear	nonlinear	ADJ
ejpam-6506	487	4	dynamics	dynamic	NOUN
ejpam-6506	487	5	,	,	PUNCT
ejpam-6506	487	6	2015:257923	2015:257923	NUM
ejpam-6506	487	7	,	,	PUNCT
ejpam-6506	487	8	2015	2015	NUM
ejpam-6506	487	9	.	.	PUNCT
ejpam-6506	488	1	[	[	X
ejpam-6506	488	2	17	17	NUM
ejpam-6506	488	3	]	]	X
ejpam-6506	488	4	y.	y.	PROPN
ejpam-6506	488	5	gong	gong	PROPN
ejpam-6506	488	6	,	,	PUNCT
ejpam-6506	488	7	x.	x.	PROPN
ejpam-6506	488	8	wang	wang	PROPN
ejpam-6506	488	9	,	,	PUNCT
ejpam-6506	488	10	and	and	CCONJ
ejpam-6506	488	11	y.	y.	PROPN
ejpam-6506	488	12	liu	liu	PROPN
ejpam-6506	488	13	.	.	PUNCT
ejpam-6506	489	1	new	new	ADJ
ejpam-6506	489	2	4d	4d	NUM
ejpam-6506	489	3	chaotic	chaotic	ADJ
ejpam-6506	489	4	system	system	NOUN
ejpam-6506	489	5	with	with	ADP
ejpam-6506	489	6	hidden	hide	VERB
ejpam-6506	489	7	attractors	attractor	NOUN
ejpam-6506	489	8	and	and	CCONJ
ejpam-6506	489	9	self	self	NOUN
ejpam-6506	489	10	-	-	PUNCT
ejpam-6506	489	11	excited	excite	VERB
ejpam-6506	489	12	attractors	attractor	NOUN
ejpam-6506	489	13	and	and	CCONJ
ejpam-6506	489	14	its	its	PRON
ejpam-6506	489	15	application	application	NOUN
ejpam-6506	489	16	in	in	ADP
ejpam-6506	489	17	image	image	NOUN
ejpam-6506	489	18	encryption	encryption	NOUN
ejpam-6506	489	19	based	base	VERB
ejpam-6506	489	20	on	on	ADP
ejpam-6506	489	21	rng	rng	PROPN
ejpam-6506	489	22	.	.	PUNCT
ejpam-6506	490	1	physica	physica	PROPN
ejpam-6506	490	2	a	a	DET
ejpam-6506	490	3	:	:	PUNCT
ejpam-6506	490	4	statistical	statistical	ADJ
ejpam-6506	490	5	mechanics	mechanic	NOUN
ejpam-6506	490	6	and	and	CCONJ
ejpam-6506	490	7	its	its	PRON
ejpam-6506	490	8	applications	application	NOUN
ejpam-6506	490	9	,	,	PUNCT
ejpam-6506	490	10	601:127–145	601:127–145	NOUN
ejpam-6506	490	11	,	,	PUNCT
ejpam-6506	490	12	2022	2022	NUM
ejpam-6506	490	13	.	.	PUNCT
ejpam-6506	491	1	[	[	X
ejpam-6506	491	2	18	18	NUM
ejpam-6506	491	3	]	]	X
ejpam-6506	491	4	p.	p.	NOUN
ejpam-6506	491	5	djorwe	djorwe	NOUN
ejpam-6506	491	6	,	,	PUNCT
ejpam-6506	491	7	e.	e.	PROPN
ejpam-6506	491	8	ngouonkadi	ngouonkadi	PROPN
ejpam-6506	491	9	,	,	PUNCT
ejpam-6506	491	10	and	and	CCONJ
ejpam-6506	491	11	p.	p.	NOUN
ejpam-6506	491	12	woafo	woafo	NOUN
ejpam-6506	491	13	.	.	PUNCT
ejpam-6506	492	1	hidden	hide	VERB
ejpam-6506	492	2	attractors	attractor	NOUN
ejpam-6506	492	3	and	and	CCONJ
ejpam-6506	492	4	metamorphoses	metamorphosis	NOUN
ejpam-6506	492	5	of	of	ADP
ejpam-6506	492	6	basin	basin	NOUN
ejpam-6506	492	7	boundaries	boundary	NOUN
ejpam-6506	492	8	in	in	ADP
ejpam-6506	492	9	optomechanics	optomechanic	NOUN
ejpam-6506	492	10	.	.	PUNCT
ejpam-6506	493	1	nonlinear	nonlinear	ADJ
ejpam-6506	493	2	dynamics	dynamic	NOUN
ejpam-6506	493	3	,	,	PUNCT
ejpam-6506	493	4	111:1555–1572	111:1555–1572	NUM
ejpam-6506	493	5	,	,	PUNCT
ejpam-6506	493	6	2023	2023	NUM
ejpam-6506	493	7	.	.	PUNCT
ejpam-6506	494	1	[	[	X
ejpam-6506	494	2	19	19	NUM
ejpam-6506	494	3	]	]	X
ejpam-6506	494	4	n.	n.	NOUN
ejpam-6506	494	5	kuznetsov	kuznetsov	PROPN
ejpam-6506	494	6	,	,	PUNCT
ejpam-6506	494	7	g.	g.	PROPN
ejpam-6506	494	8	leonov	leonov	PROPN
ejpam-6506	494	9	,	,	PUNCT
ejpam-6506	494	10	v.	v.	ADP
ejpam-6506	494	11	bragin	bragin	NOUN
ejpam-6506	494	12	,	,	PUNCT
ejpam-6506	494	13	et	et	PROPN
ejpam-6506	494	14	al	al	PROPN
ejpam-6506	494	15	.	.	PUNCT
ejpam-6506	494	16	hidden	hide	VERB
ejpam-6506	494	17	attractors	attractor	NOUN
ejpam-6506	494	18	in	in	ADP
ejpam-6506	494	19	chua	chua	PROPN
ejpam-6506	494	20	circuit	circuit	PROPN
ejpam-6506	494	21	:	:	PUNCT
ejpam-6506	494	22	mathematical	mathematical	ADJ
ejpam-6506	494	23	theory	theory	NOUN
ejpam-6506	494	24	meets	meet	VERB
ejpam-6506	494	25	physical	physical	ADJ
ejpam-6506	494	26	experiments	experiment	NOUN
ejpam-6506	494	27	.	.	PUNCT
ejpam-6506	495	1	nonlinear	nonlinear	ADJ
ejpam-6506	495	2	dynamics	dynamic	NOUN
ejpam-6506	495	3	,	,	PUNCT
ejpam-6506	495	4	111:2575–2591	111:2575–2591	NUM
ejpam-6506	495	5	,	,	PUNCT
ejpam-6506	495	6	m.	m.	PROPN
ejpam-6506	495	7	f.	f.	PROPN
ejpam-6506	495	8	ansori	ansori	PROPN
ejpam-6506	495	9	et	et	PROPN
ejpam-6506	495	10	al	al	PROPN
ejpam-6506	495	11	.	.	PUNCT
ejpam-6506	495	12	/	/	SYM
ejpam-6506	495	13	eur	eur	PROPN
ejpam-6506	495	14	.	.	PUNCT
ejpam-6506	496	1	j.	j.	PROPN
ejpam-6506	496	2	pure	pure	PROPN
ejpam-6506	496	3	appl	appl	PROPN
ejpam-6506	496	4	.	.	PROPN
ejpam-6506	496	5	math	math	PROPN
ejpam-6506	496	6	,	,	PUNCT
ejpam-6506	496	7	18	18	NUM
ejpam-6506	496	8	(	(	PUNCT
ejpam-6506	496	9	4	4	NUM
ejpam-6506	496	10	)	)	PUNCT
ejpam-6506	496	11	(	(	PUNCT
ejpam-6506	496	12	2025	2025	NUM
ejpam-6506	496	13	)	)	PUNCT
ejpam-6506	496	14	,	,	PUNCT
ejpam-6506	496	15	6506	6506	NUM
ejpam-6506	496	16	26	26	NUM
ejpam-6506	496	17	of	of	ADP
ejpam-6506	496	18	27	27	NUM
ejpam-6506	496	19	2023	2023	NUM
ejpam-6506	496	20	.	.	PUNCT
ejpam-6506	497	1	[	[	X
ejpam-6506	497	2	20	20	NUM
ejpam-6506	497	3	]	]	PUNCT
ejpam-6506	497	4	x.	x.	NOUN
ejpam-6506	497	5	yang	yang	PROPN
ejpam-6506	497	6	and	and	CCONJ
ejpam-6506	497	7	c.	c.	PROPN
ejpam-6506	497	8	lai	lai	PROPN
ejpam-6506	497	9	.	.	PUNCT
ejpam-6506	498	1	construction	construction	NOUN
ejpam-6506	498	2	and	and	CCONJ
ejpam-6506	498	3	implementation	implementation	NOUN
ejpam-6506	498	4	of	of	ADP
ejpam-6506	498	5	discrete	discrete	ADJ
ejpam-6506	498	6	memristive	memristive	ADJ
ejpam-6506	498	7	hyperchaotic	hyperchaotic	ADJ
ejpam-6506	498	8	map	map	NOUN
ejpam-6506	498	9	with	with	ADP
ejpam-6506	498	10	hidden	hidden	ADJ
ejpam-6506	498	11	attractors	attractor	NOUN
ejpam-6506	498	12	and	and	CCONJ
ejpam-6506	498	13	self	self	NOUN
ejpam-6506	498	14	-	-	PUNCT
ejpam-6506	498	15	excited	excite	VERB
ejpam-6506	498	16	attractors	attractor	NOUN
ejpam-6506	498	17	.	.	PUNCT
ejpam-6506	499	1	integration	integration	NOUN
ejpam-6506	499	2	,	,	PUNCT
ejpam-6506	499	3	89:155–166	89:155–166	NUM
ejpam-6506	499	4	,	,	PUNCT
ejpam-6506	499	5	2023	2023	NUM
ejpam-6506	499	6	.	.	PUNCT
ejpam-6506	500	1	[	[	X
ejpam-6506	500	2	21	21	NUM
ejpam-6506	500	3	]	]	X
ejpam-6506	500	4	j.	j.	PROPN
ejpam-6506	500	5	maaita	maaita	PROPN
ejpam-6506	500	6	and	and	CCONJ
ejpam-6506	500	7	d.	d.	PROPN
ejpam-6506	500	8	prousalis	prousalis	PROPN
ejpam-6506	500	9	.	.	PUNCT
ejpam-6506	501	1	a	a	DET
ejpam-6506	501	2	comparison	comparison	NOUN
ejpam-6506	501	3	between	between	ADP
ejpam-6506	501	4	four	four	NUM
ejpam-6506	501	5	chaotic	chaotic	ADJ
ejpam-6506	501	6	indicators	indicator	NOUN
ejpam-6506	501	7	in	in	ADP
ejpam-6506	501	8	systems	system	NOUN
ejpam-6506	501	9	with	with	ADP
ejpam-6506	501	10	hidden	hidden	ADJ
ejpam-6506	501	11	attractors	attractor	NOUN
ejpam-6506	501	12	.	.	PUNCT
ejpam-6506	502	1	journal	journal	NOUN
ejpam-6506	502	2	of	of	ADP
ejpam-6506	502	3	computational	computational	ADJ
ejpam-6506	502	4	and	and	CCONJ
ejpam-6506	502	5	nonlinear	nonlinear	ADJ
ejpam-6506	502	6	dynamics	dynamic	NOUN
ejpam-6506	502	7	,	,	PUNCT
ejpam-6506	502	8	20(1):011008	20(1):011008	NUM
ejpam-6506	502	9	,	,	PUNCT
ejpam-6506	502	10	2024	2024	NUM
ejpam-6506	502	11	.	.	PUNCT
ejpam-6506	503	1	[	[	X
ejpam-6506	503	2	22	22	NUM
ejpam-6506	503	3	]	]	PUNCT
ejpam-6506	503	4	h.	h.	PROPN
ejpam-6506	503	5	zhang	zhang	PROPN
ejpam-6506	503	6	,	,	PUNCT
ejpam-6506	503	7	j.	j.	PROPN
ejpam-6506	503	8	li	li	PROPN
ejpam-6506	503	9	,	,	PUNCT
ejpam-6506	503	10	and	and	CCONJ
ejpam-6506	503	11	g.	g.	PROPN
ejpam-6506	503	12	chen	chen	PROPN
ejpam-6506	503	13	.	.	PUNCT
ejpam-6506	504	1	self	self	NOUN
ejpam-6506	504	2	-	-	PUNCT
ejpam-6506	504	3	excited	excite	VERB
ejpam-6506	504	4	and	and	CCONJ
ejpam-6506	504	5	hidden	hide	VERB
ejpam-6506	504	6	multi	multi	ADJ
ejpam-6506	504	7	-	-	ADJ
ejpam-6506	504	8	scroll	scroll	ADJ
ejpam-6506	504	9	attractors	attractor	NOUN
ejpam-6506	504	10	in	in	ADP
ejpam-6506	504	11	a	a	DET
ejpam-6506	504	12	novel	novel	NOUN
ejpam-6506	504	13	extremely	extremely	ADV
ejpam-6506	504	14	chaotic	chaotic	ADJ
ejpam-6506	504	15	system	system	NOUN
ejpam-6506	504	16	and	and	CCONJ
ejpam-6506	504	17	its	its	PRON
ejpam-6506	504	18	cryptographic	cryptographic	ADJ
ejpam-6506	504	19	applications	application	NOUN
ejpam-6506	504	20	.	.	PUNCT
ejpam-6506	505	1	physica	physica	PROPN
ejpam-6506	505	2	a	a	DET
ejpam-6506	505	3	:	:	PUNCT
ejpam-6506	505	4	statistical	statistical	ADJ
ejpam-6506	505	5	mechanics	mechanic	NOUN
ejpam-6506	505	6	and	and	CCONJ
ejpam-6506	505	7	its	its	PRON
ejpam-6506	505	8	applications	application	NOUN
ejpam-6506	505	9	,	,	PUNCT
ejpam-6506	505	10	643:129875	643:129875	NUM
ejpam-6506	505	11	,	,	PUNCT
ejpam-6506	505	12	2025	2025	NUM
ejpam-6506	505	13	.	.	PUNCT
ejpam-6506	506	1	[	[	X
ejpam-6506	506	2	23	23	NUM
ejpam-6506	506	3	]	]	PUNCT
ejpam-6506	506	4	a.	a.	NOUN
ejpam-6506	506	5	ouannas	ouannas	NOUN
ejpam-6506	506	6	,	,	PUNCT
ejpam-6506	506	7	v.	v.	ADP
ejpam-6506	506	8	t.	t.	PROPN
ejpam-6506	506	9	pham	pham	PROPN
ejpam-6506	506	10	,	,	PUNCT
ejpam-6506	506	11	a.	a.	PROPN
ejpam-6506	506	12	a.	a.	NOUN
ejpam-6506	506	13	khennaoui	khennaoui	PROPN
ejpam-6506	506	14	,	,	PUNCT
ejpam-6506	506	15	g.	g.	PROPN
ejpam-6506	506	16	grassi	grassi	PROPN
ejpam-6506	506	17	,	,	PUNCT
ejpam-6506	506	18	and	and	CCONJ
ejpam-6506	506	19	s.	s.	PROPN
ejpam-6506	506	20	momani	momani	PROPN
ejpam-6506	506	21	.	.	PUNCT
ejpam-6506	506	22	chaos	chaos	NOUN
ejpam-6506	506	23	and	and	CCONJ
ejpam-6506	506	24	control	control	NOUN
ejpam-6506	506	25	of	of	ADP
ejpam-6506	506	26	a	a	DET
ejpam-6506	506	27	three	three	NUM
ejpam-6506	506	28	-	-	PUNCT
ejpam-6506	506	29	dimensional	dimensional	ADJ
ejpam-6506	506	30	fractional	fractional	ADJ
ejpam-6506	506	31	order	order	NOUN
ejpam-6506	506	32	discrete	discrete	ADJ
ejpam-6506	506	33	-	-	PUNCT
ejpam-6506	506	34	time	time	NOUN
ejpam-6506	506	35	system	system	NOUN
ejpam-6506	506	36	with	with	ADP
ejpam-6506	506	37	no	no	DET
ejpam-6506	506	38	equilibrium	equilibrium	NOUN
ejpam-6506	506	39	and	and	CCONJ
ejpam-6506	506	40	its	its	PRON
ejpam-6506	506	41	synchronization	synchronization	NOUN
ejpam-6506	506	42	.	.	PUNCT
ejpam-6506	507	1	american	american	PROPN
ejpam-6506	507	2	institute	institute	PROPN
ejpam-6506	507	3	of	of	ADP
ejpam-6506	507	4	physics	physics	PROPN
ejpam-6506	507	5	advances	advance	NOUN
ejpam-6506	507	6	,	,	PUNCT
ejpam-6506	507	7	10(4):045310	10(4):045310	NUM
ejpam-6506	507	8	,	,	PUNCT
ejpam-6506	507	9	2020	2020	NUM
ejpam-6506	507	10	.	.	PUNCT
ejpam-6506	508	1	[	[	X
ejpam-6506	508	2	24	24	NUM
ejpam-6506	508	3	]	]	PUNCT
ejpam-6506	508	4	x.	x.	NOUN
ejpam-6506	508	5	wang	wang	PROPN
ejpam-6506	508	6	,	,	PUNCT
ejpam-6506	508	7	c.	c.	PROPN
ejpam-6506	508	8	volos	volos	PROPN
ejpam-6506	508	9	,	,	PUNCT
ejpam-6506	508	10	e.	e.	PROPN
ejpam-6506	508	11	tlelo	tlelo	PROPN
ejpam-6506	508	12	-	-	PUNCT
ejpam-6506	508	13	cuautle	cuautle	NOUN
ejpam-6506	508	14	,	,	PUNCT
ejpam-6506	508	15	v.	v.	ADP
ejpam-6506	508	16	t.	t.	PROPN
ejpam-6506	508	17	pham	pham	PROPN
ejpam-6506	508	18	,	,	PUNCT
ejpam-6506	508	19	j.	j.	PROPN
ejpam-6506	508	20	m.	m.	PROPN
ejpam-6506	508	21	munoz	munoz	PROPN
ejpam-6506	508	22	-	-	PUNCT
ejpam-6506	508	23	pacheco	pacheco	PROPN
ejpam-6506	508	24	,	,	PUNCT
ejpam-6506	508	25	and	and	CCONJ
ejpam-6506	508	26	s.	s.	PROPN
ejpam-6506	508	27	jafari	jafari	PROPN
ejpam-6506	508	28	.	.	PUNCT
ejpam-6506	509	1	a	a	DET
ejpam-6506	509	2	new	new	ADJ
ejpam-6506	509	3	chaotic	chaotic	ADJ
ejpam-6506	509	4	system	system	NOUN
ejpam-6506	509	5	with	with	ADP
ejpam-6506	509	6	stable	stable	ADJ
ejpam-6506	509	7	equilibrium	equilibrium	NOUN
ejpam-6506	509	8	:	:	PUNCT
ejpam-6506	509	9	from	from	ADP
ejpam-6506	509	10	theoretical	theoretical	ADJ
ejpam-6506	509	11	model	model	NOUN
ejpam-6506	509	12	to	to	ADP
ejpam-6506	509	13	circuit	circuit	NOUN
ejpam-6506	509	14	implementation	implementation	NOUN
ejpam-6506	509	15	.	.	PUNCT
ejpam-6506	510	1	institute	institute	NOUN
ejpam-6506	510	2	of	of	ADP
ejpam-6506	510	3	electrical	electrical	ADJ
ejpam-6506	510	4	and	and	CCONJ
ejpam-6506	510	5	electronics	electronic	NOUN
ejpam-6506	510	6	engineers	engineer	NOUN
ejpam-6506	510	7	access	access	NOUN
ejpam-6506	510	8	,	,	PUNCT
ejpam-6506	510	9	5:8851–8858	5:8851–8858	NUM
ejpam-6506	510	10	,	,	PUNCT
ejpam-6506	510	11	2017	2017	NUM
ejpam-6506	510	12	.	.	PUNCT
ejpam-6506	511	1	[	[	X
ejpam-6506	511	2	25	25	NUM
ejpam-6506	511	3	]	]	PUNCT
ejpam-6506	511	4	j.	j.	PROPN
ejpam-6506	511	5	p.	p.	PROPN
ejpam-6506	511	6	singh	singh	PROPN
ejpam-6506	511	7	,	,	PUNCT
ejpam-6506	511	8	k.	k.	PROPN
ejpam-6506	511	9	rajagopal	rajagopal	PROPN
ejpam-6506	511	10	,	,	PUNCT
ejpam-6506	511	11	and	and	CCONJ
ejpam-6506	511	12	b.	b.	PROPN
ejpam-6506	511	13	k.	k.	PROPN
ejpam-6506	511	14	roy	roy	PROPN
ejpam-6506	511	15	.	.	PUNCT
ejpam-6506	512	1	a	a	DET
ejpam-6506	512	2	new	new	ADJ
ejpam-6506	512	3	5d	5d	NUM
ejpam-6506	512	4	hyperchaotic	hyperchaotic	ADJ
ejpam-6506	512	5	system	system	NOUN
ejpam-6506	512	6	with	with	ADP
ejpam-6506	512	7	stable	stable	ADJ
ejpam-6506	512	8	equilibrium	equilibrium	NOUN
ejpam-6506	512	9	point	point	NOUN
ejpam-6506	512	10	,	,	PUNCT
ejpam-6506	512	11	transient	transient	ADJ
ejpam-6506	512	12	chaotic	chaotic	ADJ
ejpam-6506	512	13	behaviour	behaviour	NOUN
ejpam-6506	512	14	and	and	CCONJ
ejpam-6506	512	15	its	its	PRON
ejpam-6506	512	16	fractional	fractional	ADJ
ejpam-6506	512	17	-	-	PUNCT
ejpam-6506	512	18	order	order	NOUN
ejpam-6506	512	19	form	form	NOUN
ejpam-6506	512	20	.	.	PUNCT
ejpam-6506	513	1	pramana	pramana	PROPN
ejpam-6506	513	2	,	,	PUNCT
ejpam-6506	513	3	91(3	91(3	NUM
ejpam-6506	513	4	)	)	PUNCT
ejpam-6506	513	5	,	,	PUNCT
ejpam-6506	513	6	2018	2018	NUM
ejpam-6506	513	7	.	.	PUNCT
ejpam-6506	514	1	[	[	X
ejpam-6506	514	2	26	26	NUM
ejpam-6506	514	3	]	]	PUNCT
ejpam-6506	514	4	k.	k.	NOUN
ejpam-6506	514	5	nonlaopon	nonlaopon	PROPN
ejpam-6506	514	6	,	,	PUNCT
ejpam-6506	514	7	m.	m.	NOUN
ejpam-6506	514	8	m.	m.	PROPN
ejpam-6506	514	9	khalsaraei	khalsaraei	PROPN
ejpam-6506	514	10	,	,	PUNCT
ejpam-6506	514	11	a.	a.	NOUN
ejpam-6506	514	12	shokri	shokri	PROPN
ejpam-6506	514	13	,	,	PUNCT
ejpam-6506	514	14	and	and	CCONJ
ejpam-6506	514	15	m.	m.	NOUN
ejpam-6506	514	16	molayi	molayi	NOUN
ejpam-6506	514	17	.	.	PUNCT
ejpam-6506	515	1	approximate	approximate	ADJ
ejpam-6506	515	2	solutions	solution	NOUN
ejpam-6506	515	3	for	for	ADP
ejpam-6506	515	4	a	a	DET
ejpam-6506	515	5	class	class	NOUN
ejpam-6506	515	6	of	of	ADP
ejpam-6506	515	7	predator	predator	NOUN
ejpam-6506	515	8	–	–	PUNCT
ejpam-6506	515	9	prey	prey	NOUN
ejpam-6506	515	10	systems	system	NOUN
ejpam-6506	515	11	with	with	ADP
ejpam-6506	515	12	nonstandard	nonstandard	ADJ
ejpam-6506	515	13	finite	finite	ADJ
ejpam-6506	515	14	difference	difference	NOUN
ejpam-6506	515	15	schemes	scheme	NOUN
ejpam-6506	515	16	.	.	PUNCT
ejpam-6506	516	1	symmetry	symmetry	NOUN
ejpam-6506	516	2	,	,	PUNCT
ejpam-6506	516	3	14(8):1660	14(8):1660	NUM
ejpam-6506	516	4	,	,	PUNCT
ejpam-6506	516	5	2022	2022	NUM
ejpam-6506	516	6	.	.	PUNCT
ejpam-6506	517	1	[	[	X
ejpam-6506	517	2	27	27	NUM
ejpam-6506	517	3	]	]	PUNCT
ejpam-6506	517	4	r.	r.	PROPN
ejpam-6506	517	5	u.	u.	PROPN
ejpam-6506	517	6	din	din	PROPN
ejpam-6506	517	7	,	,	PUNCT
ejpam-6506	517	8	k.	k.	PROPN
ejpam-6506	517	9	a.	a.	PROPN
ejpam-6506	517	10	khan	khan	PROPN
ejpam-6506	517	11	,	,	PUNCT
ejpam-6506	517	12	a.	a.	PROPN
ejpam-6506	517	13	aloqaily	aloqaily	ADV
ejpam-6506	517	14	,	,	PUNCT
ejpam-6506	517	15	n.	n.	PROPN
ejpam-6506	517	16	mlaiki	mlaiki	PROPN
ejpam-6506	517	17	,	,	PUNCT
ejpam-6506	517	18	and	and	CCONJ
ejpam-6506	517	19	h.	h.	PROPN
ejpam-6506	517	20	alrabaiah	alrabaiah	PROPN
ejpam-6506	517	21	.	.	PUNCT
ejpam-6506	518	1	using	use	VERB
ejpam-6506	518	2	nonstandard	nonstandard	ADJ
ejpam-6506	518	3	finite	finite	ADJ
ejpam-6506	518	4	difference	difference	NOUN
ejpam-6506	518	5	scheme	scheme	NOUN
ejpam-6506	518	6	to	to	PART
ejpam-6506	518	7	study	study	VERB
ejpam-6506	518	8	classical	classical	ADJ
ejpam-6506	518	9	and	and	CCONJ
ejpam-6506	518	10	fractional	fractional	ADJ
ejpam-6506	518	11	order	order	NOUN
ejpam-6506	518	12	seivr	seivr	NOUN
ejpam-6506	518	13	model	model	NOUN
ejpam-6506	518	14	.	.	PUNCT
ejpam-6506	519	1	fractal	fractal	PROPN
ejpam-6506	519	2	and	and	CCONJ
ejpam-6506	519	3	fractional	fractional	ADJ
ejpam-6506	519	4	,	,	PUNCT
ejpam-6506	519	5	7(7):552	7(7):552	NUM
ejpam-6506	519	6	,	,	PUNCT
ejpam-6506	519	7	2023	2023	NUM
ejpam-6506	519	8	.	.	PUNCT
ejpam-6506	520	1	[	[	X
ejpam-6506	520	2	28	28	NUM
ejpam-6506	520	3	]	]	X
ejpam-6506	520	4	k.	k.	PROPN
ejpam-6506	520	5	kaur	kaur	PROPN
ejpam-6506	520	6	and	and	CCONJ
ejpam-6506	520	7	g.	g.	PROPN
ejpam-6506	520	8	singh	singh	PROPN
ejpam-6506	520	9	.	.	PUNCT
ejpam-6506	521	1	an	an	DET
ejpam-6506	521	2	efficient	efficient	ADJ
ejpam-6506	521	3	nonstandard	nonstandard	ADJ
ejpam-6506	521	4	numerical	numerical	ADJ
ejpam-6506	521	5	scheme	scheme	NOUN
ejpam-6506	521	6	coupled	couple	VERB
ejpam-6506	521	7	with	with	ADP
ejpam-6506	521	8	a	a	DET
ejpam-6506	521	9	compact	compact	ADJ
ejpam-6506	521	10	finite	finite	ADJ
ejpam-6506	521	11	difference	difference	NOUN
ejpam-6506	521	12	method	method	NOUN
ejpam-6506	521	13	to	to	PART
ejpam-6506	521	14	solve	solve	VERB
ejpam-6506	521	15	the	the	DET
ejpam-6506	521	16	one	one	NUM
ejpam-6506	521	17	-	-	PUNCT
ejpam-6506	521	18	dimensional	dimensional	ADJ
ejpam-6506	521	19	burgers	burger	NOUN
ejpam-6506	521	20	’	'	PUNCT
ejpam-6506	521	21	equation	equation	NOUN
ejpam-6506	521	22	.	.	PUNCT
ejpam-6506	522	1	axioms	axiom	NOUN
ejpam-6506	522	2	,	,	PUNCT
ejpam-6506	522	3	12(6):593	12(6):593	NUM
ejpam-6506	522	4	,	,	PUNCT
ejpam-6506	522	5	2023	2023	NUM
ejpam-6506	522	6	.	.	PUNCT
ejpam-6506	523	1	[	[	X
ejpam-6506	523	2	29	29	NUM
ejpam-6506	523	3	]	]	X
ejpam-6506	523	4	i.	i.	PROPN
ejpam-6506	523	5	u.	u.	PROPN
ejpam-6506	523	6	khan	khan	PROPN
ejpam-6506	523	7	,	,	PUNCT
ejpam-6506	523	8	a.	a.	NOUN
ejpam-6506	523	9	hussain	hussain	PROPN
ejpam-6506	523	10	,	,	PUNCT
ejpam-6506	523	11	s.	s.	PROPN
ejpam-6506	523	12	li	li	PROPN
ejpam-6506	523	13	,	,	PUNCT
ejpam-6506	523	14	and	and	CCONJ
ejpam-6506	523	15	a.	a.	NOUN
ejpam-6506	523	16	shokri	shokri	PROPN
ejpam-6506	523	17	.	.	PUNCT
ejpam-6506	524	1	modeling	model	VERB
ejpam-6506	524	2	the	the	DET
ejpam-6506	524	3	transmission	transmission	NOUN
ejpam-6506	524	4	dynamics	dynamic	NOUN
ejpam-6506	524	5	of	of	ADP
ejpam-6506	524	6	coronavirus	coronavirus	NOUN
ejpam-6506	524	7	using	use	VERB
ejpam-6506	524	8	nonstandard	nonstandard	ADJ
ejpam-6506	524	9	finite	finite	ADJ
ejpam-6506	524	10	difference	difference	NOUN
ejpam-6506	524	11	scheme	scheme	NOUN
ejpam-6506	524	12	.	.	PUNCT
ejpam-6506	525	1	fractal	fractal	ADJ
ejpam-6506	525	2	and	and	CCONJ
ejpam-6506	525	3	fractional	fractional	ADJ
ejpam-6506	525	4	,	,	PUNCT
ejpam-6506	525	5	7(6):451	7(6):451	NUM
ejpam-6506	525	6	,	,	PUNCT
ejpam-6506	525	7	2023	2023	NUM
ejpam-6506	525	8	.	.	PUNCT
ejpam-6506	526	1	[	[	X
ejpam-6506	526	2	30	30	NUM
ejpam-6506	526	3	]	]	X
ejpam-6506	526	4	m.	m.	NOUN
ejpam-6506	526	5	gümüş	gümüş	PROPN
ejpam-6506	526	6	and	and	CCONJ
ejpam-6506	526	7	k.	k.	PROPN
ejpam-6506	526	8	türk	türk	PROPN
ejpam-6506	526	9	.	.	PUNCT
ejpam-6506	527	1	dynamical	dynamical	ADJ
ejpam-6506	527	2	behavior	behavior	NOUN
ejpam-6506	527	3	of	of	ADP
ejpam-6506	527	4	a	a	DET
ejpam-6506	527	5	hepatitis	hepatitis	NOUN
ejpam-6506	527	6	b	b	PROPN
ejpam-6506	527	7	epidemic	epidemic	NOUN
ejpam-6506	527	8	model	model	NOUN
ejpam-6506	527	9	and	and	CCONJ
ejpam-6506	527	10	its	its	PRON
ejpam-6506	527	11	nonstandard	nonstandard	ADJ
ejpam-6506	527	12	finite	finite	ADJ
ejpam-6506	527	13	difference	difference	NOUN
ejpam-6506	527	14	scheme	scheme	NOUN
ejpam-6506	527	15	.	.	PUNCT
ejpam-6506	528	1	journal	journal	NOUN
ejpam-6506	528	2	of	of	ADP
ejpam-6506	528	3	applied	apply	VERB
ejpam-6506	528	4	mathematics	mathematic	NOUN
ejpam-6506	528	5	and	and	CCONJ
ejpam-6506	528	6	computing	computing	NOUN
ejpam-6506	528	7	,	,	PUNCT
ejpam-6506	528	8	70(4):3767–3788	70(4):3767–3788	NUM
ejpam-6506	528	9	,	,	PUNCT
ejpam-6506	528	10	2024	2024	NUM
ejpam-6506	528	11	.	.	PUNCT
ejpam-6506	529	1	[	[	X
ejpam-6506	529	2	31	31	NUM
ejpam-6506	529	3	]	]	PUNCT
ejpam-6506	529	4	m.	m.	NOUN
ejpam-6506	529	5	hajipour	hajipour	PROPN
ejpam-6506	529	6	,	,	PUNCT
ejpam-6506	529	7	a.	a.	PROPN
ejpam-6506	529	8	jajarmi	jajarmi	PROPN
ejpam-6506	529	9	,	,	PUNCT
ejpam-6506	529	10	and	and	CCONJ
ejpam-6506	529	11	d.	d.	PROPN
ejpam-6506	529	12	baleanu	baleanu	PROPN
ejpam-6506	529	13	.	.	PUNCT
ejpam-6506	530	1	an	an	DET
ejpam-6506	530	2	efficient	efficient	ADJ
ejpam-6506	530	3	nonstandard	nonstandard	ADJ
ejpam-6506	530	4	finite	finite	ADJ
ejpam-6506	530	5	difference	difference	NOUN
ejpam-6506	530	6	scheme	scheme	NOUN
ejpam-6506	530	7	for	for	ADP
ejpam-6506	530	8	a	a	DET
ejpam-6506	530	9	class	class	NOUN
ejpam-6506	530	10	of	of	ADP
ejpam-6506	530	11	fractional	fractional	ADJ
ejpam-6506	530	12	chaotic	chaotic	ADJ
ejpam-6506	530	13	systems	system	NOUN
ejpam-6506	530	14	.	.	PUNCT
ejpam-6506	531	1	journal	journal	NOUN
ejpam-6506	531	2	of	of	ADP
ejpam-6506	531	3	computational	computational	ADJ
ejpam-6506	531	4	and	and	CCONJ
ejpam-6506	531	5	nonlinear	nonlinear	ADJ
ejpam-6506	531	6	dynamics	dynamic	NOUN
ejpam-6506	531	7	,	,	PUNCT
ejpam-6506	531	8	13(2):021013	13(2):021013	NUM
ejpam-6506	531	9	,	,	PUNCT
ejpam-6506	531	10	2018	2018	NUM
ejpam-6506	531	11	.	.	PUNCT
ejpam-6506	532	1	[	[	X
ejpam-6506	532	2	32	32	NUM
ejpam-6506	532	3	]	]	PUNCT
ejpam-6506	532	4	r.	r.	PROPN
ejpam-6506	532	5	e.	e.	PROPN
ejpam-6506	532	6	mickens	mickens	PROPN
ejpam-6506	532	7	.	.	PUNCT
ejpam-6506	533	1	nonstandard	nonstandard	ADJ
ejpam-6506	533	2	finite	finite	ADJ
ejpam-6506	533	3	difference	difference	NOUN
ejpam-6506	533	4	models	model	NOUN
ejpam-6506	533	5	of	of	ADP
ejpam-6506	533	6	differential	differential	ADJ
ejpam-6506	533	7	equations	equation	NOUN
ejpam-6506	533	8	.	.	PUNCT
ejpam-6506	534	1	world	world	PROPN
ejpam-6506	534	2	scientific	scientific	PROPN
ejpam-6506	534	3	,	,	PUNCT
ejpam-6506	534	4	singapore	singapore	PROPN
ejpam-6506	534	5	,	,	PUNCT
ejpam-6506	534	6	1994	1994	NUM
ejpam-6506	534	7	.	.	PUNCT
ejpam-6506	535	1	[	[	X
ejpam-6506	535	2	33	33	NUM
ejpam-6506	535	3	]	]	PUNCT
ejpam-6506	535	4	j.	j.	PROPN
ejpam-6506	535	5	andaluz	andaluz	PROPN
ejpam-6506	535	6	,	,	PUNCT
ejpam-6506	535	7	a.	a.	NOUN
ejpam-6506	535	8	a.	a.	NOUN
ejpam-6506	535	9	elsadany	elsadany	PROPN
ejpam-6506	535	10	,	,	PUNCT
ejpam-6506	535	11	and	and	CCONJ
ejpam-6506	535	12	g.	g.	PROPN
ejpam-6506	535	13	jarne	jarne	PROPN
ejpam-6506	535	14	.	.	PUNCT
ejpam-6506	536	1	nonlinear	nonlinear	ADJ
ejpam-6506	536	2	cournot	cournot	ADV
ejpam-6506	536	3	and	and	CCONJ
ejpam-6506	536	4	bertrand	bertrand	NOUN
ejpam-6506	536	5	-	-	PUNCT
ejpam-6506	536	6	type	type	NOUN
ejpam-6506	536	7	dynamic	dynamic	ADJ
ejpam-6506	536	8	triopoly	triopoly	NOUN
ejpam-6506	536	9	with	with	ADP
ejpam-6506	536	10	differentiated	differentiated	ADJ
ejpam-6506	536	11	products	product	NOUN
ejpam-6506	536	12	and	and	CCONJ
ejpam-6506	536	13	heterogeneous	heterogeneous	ADJ
ejpam-6506	536	14	expectations	expectation	NOUN
ejpam-6506	536	15	.	.	PUNCT
ejpam-6506	537	1	mathem	mathem	NOUN
ejpam-6506	537	2	.	.	PUNCT
ejpam-6506	538	1	f.	f.	PROPN
ejpam-6506	538	2	ansori	ansori	PROPN
ejpam-6506	538	3	et	et	PROPN
ejpam-6506	538	4	al	al	PROPN
ejpam-6506	538	5	.	.	PUNCT
ejpam-6506	538	6	/	/	SYM
ejpam-6506	538	7	eur	eur	PROPN
ejpam-6506	538	8	.	.	PUNCT
ejpam-6506	539	1	j.	j.	PROPN
ejpam-6506	539	2	pure	pure	PROPN
ejpam-6506	539	3	appl	appl	PROPN
ejpam-6506	539	4	.	.	PROPN
ejpam-6506	539	5	math	math	PROPN
ejpam-6506	539	6	,	,	PUNCT
ejpam-6506	539	7	18	18	NUM
ejpam-6506	539	8	(	(	PUNCT
ejpam-6506	539	9	4	4	NUM
ejpam-6506	539	10	)	)	PUNCT
ejpam-6506	539	11	(	(	PUNCT
ejpam-6506	539	12	2025	2025	NUM
ejpam-6506	539	13	)	)	PUNCT
ejpam-6506	539	14	,	,	PUNCT
ejpam-6506	539	15	6506	6506	NUM
ejpam-6506	539	16	27	27	NUM
ejpam-6506	539	17	of	of	ADP
ejpam-6506	539	18	27	27	NUM
ejpam-6506	539	19	matics	matic	NOUN
ejpam-6506	539	20	and	and	CCONJ
ejpam-6506	539	21	computers	computer	NOUN
ejpam-6506	539	22	in	in	ADP
ejpam-6506	539	23	simulation	simulation	NOUN
ejpam-6506	539	24	,	,	PUNCT
ejpam-6506	539	25	132:86–99	132:86–99	NUM
ejpam-6506	539	26	,	,	PUNCT
ejpam-6506	539	27	2017	2017	NUM
ejpam-6506	539	28	.	.	PUNCT
ejpam-6506	540	1	[	[	X
ejpam-6506	540	2	34	34	NUM
ejpam-6506	540	3	]	]	PUNCT
ejpam-6506	540	4	a.	a.	NOUN
ejpam-6506	540	5	wolf	wolf	PROPN
ejpam-6506	540	6	,	,	PUNCT
ejpam-6506	540	7	j.	j.	PROPN
ejpam-6506	540	8	b.	b.	PROPN
ejpam-6506	540	9	swift	swift	PROPN
ejpam-6506	540	10	,	,	PUNCT
ejpam-6506	540	11	h.	h.	PROPN
ejpam-6506	540	12	l.	l.	PROPN
ejpam-6506	540	13	swinney	swinney	PROPN
ejpam-6506	540	14	,	,	PUNCT
ejpam-6506	540	15	and	and	CCONJ
ejpam-6506	540	16	j.	j.	PROPN
ejpam-6506	540	17	a.	a.	PROPN
ejpam-6506	540	18	vastano	vastano	PROPN
ejpam-6506	540	19	.	.	PUNCT
ejpam-6506	541	1	determining	determine	VERB
ejpam-6506	541	2	lyapunov	lyapunov	ADJ
ejpam-6506	541	3	exponents	exponent	NOUN
ejpam-6506	541	4	from	from	ADP
ejpam-6506	541	5	a	a	DET
ejpam-6506	541	6	time	time	NOUN
ejpam-6506	541	7	series	series	NOUN
ejpam-6506	541	8	.	.	PUNCT
ejpam-6506	542	1	physica	physica	PROPN
ejpam-6506	542	2	d	d	NOUN
ejpam-6506	542	3	:	:	PUNCT
ejpam-6506	542	4	nonlinear	nonlinear	ADJ
ejpam-6506	542	5	phenomena	phenomenon	NOUN
ejpam-6506	542	6	,	,	PUNCT
ejpam-6506	542	7	16(3):285–317	16(3):285–317	NUM
ejpam-6506	542	8	,	,	PUNCT
ejpam-6506	542	9	1985	1985	NUM
ejpam-6506	542	10	.	.	PUNCT
ejpam-6506	543	1	[	[	X
ejpam-6506	543	2	35	35	NUM
ejpam-6506	543	3	]	]	X
ejpam-6506	543	4	g.	g.	PROPN
ejpam-6506	543	5	benettin	benettin	PROPN
ejpam-6506	543	6	,	,	PUNCT
ejpam-6506	543	7	l.	l.	PROPN
ejpam-6506	543	8	galgani	galgani	PROPN
ejpam-6506	543	9	,	,	PUNCT
ejpam-6506	543	10	a.	a.	NOUN
ejpam-6506	543	11	giorgilli	giorgilli	PROPN
ejpam-6506	543	12	,	,	PUNCT
ejpam-6506	543	13	and	and	CCONJ
ejpam-6506	543	14	j.	j.	PROPN
ejpam-6506	543	15	strelcyn	strelcyn	PROPN
ejpam-6506	543	16	.	.	PUNCT
ejpam-6506	544	1	lyapunov	lyapunov	ADJ
ejpam-6506	544	2	characteristic	characteristic	ADJ
ejpam-6506	544	3	exponents	exponent	NOUN
ejpam-6506	544	4	for	for	ADP
ejpam-6506	544	5	smooth	smooth	ADJ
ejpam-6506	544	6	dynamical	dynamical	ADJ
ejpam-6506	544	7	systems	system	NOUN
ejpam-6506	544	8	and	and	CCONJ
ejpam-6506	544	9	for	for	ADP
ejpam-6506	544	10	hamiltonian	hamiltonian	ADJ
ejpam-6506	544	11	systems	system	NOUN
ejpam-6506	544	12	;	;	PUNCT
ejpam-6506	544	13	a	a	DET
ejpam-6506	544	14	method	method	NOUN
ejpam-6506	544	15	for	for	ADP
ejpam-6506	544	16	computing	compute	VERB
ejpam-6506	544	17	all	all	PRON
ejpam-6506	544	18	of	of	ADP
ejpam-6506	544	19	them	they	PRON
ejpam-6506	544	20	.	.	PUNCT
ejpam-6506	545	1	part	part	NOUN
ejpam-6506	545	2	1	1	NUM
ejpam-6506	545	3	:	:	PUNCT
ejpam-6506	545	4	theory	theory	NOUN
ejpam-6506	545	5	.	.	PUNCT
ejpam-6506	546	1	meccanica	meccanica	PROPN
ejpam-6506	546	2	,	,	PUNCT
ejpam-6506	546	3	15(1):9–20	15(1):9–20	NUM
ejpam-6506	546	4	,	,	PUNCT
ejpam-6506	546	5	1980	1980	NUM
ejpam-6506	546	6	.	.	PUNCT
ejpam-6506	547	1	[	[	X
ejpam-6506	547	2	36	36	NUM
ejpam-6506	547	3	]	]	X
ejpam-6506	547	4	i.	i.	PROPN
ejpam-6506	547	5	shimada	shimada	PROPN
ejpam-6506	547	6	and	and	CCONJ
ejpam-6506	547	7	t.	t.	PROPN
ejpam-6506	547	8	nagashima	nagashima	PROPN
ejpam-6506	547	9	.	.	PUNCT
ejpam-6506	548	1	a	a	DET
ejpam-6506	548	2	numerical	numerical	ADJ
ejpam-6506	548	3	approach	approach	NOUN
ejpam-6506	548	4	to	to	ADP
ejpam-6506	548	5	ergodic	ergodic	ADJ
ejpam-6506	548	6	problem	problem	NOUN
ejpam-6506	548	7	of	of	ADP
ejpam-6506	548	8	dissipative	dissipative	ADJ
ejpam-6506	548	9	dynamical	dynamical	ADJ
ejpam-6506	548	10	systems	system	NOUN
ejpam-6506	548	11	.	.	PUNCT
ejpam-6506	549	1	progress	progress	NOUN
ejpam-6506	549	2	of	of	ADP
ejpam-6506	549	3	theoretical	theoretical	ADJ
ejpam-6506	549	4	physics	physics	NOUN
ejpam-6506	549	5	,	,	PUNCT
ejpam-6506	549	6	61(6):1605–1616	61(6):1605–1616	NUM
ejpam-6506	549	7	,	,	PUNCT
ejpam-6506	549	8	1979	1979	NUM
ejpam-6506	549	9	.	.	PUNCT
ejpam-6506	550	1	[	[	X
ejpam-6506	550	2	37	37	NUM
ejpam-6506	550	3	]	]	X
ejpam-6506	550	4	h.	h.	PROPN
ejpam-6506	550	5	broer	broer	PROPN
ejpam-6506	550	6	,	,	PUNCT
ejpam-6506	550	7	c.	c.	PROPN
ejpam-6506	550	8	simó	simó	PROPN
ejpam-6506	550	9	,	,	PUNCT
ejpam-6506	550	10	and	and	CCONJ
ejpam-6506	550	11	r.	r.	PROPN
ejpam-6506	550	12	vitolo	vitolo	NOUN
ejpam-6506	550	13	.	.	PUNCT
ejpam-6506	551	1	bifurcations	bifurcation	NOUN
ejpam-6506	551	2	and	and	CCONJ
ejpam-6506	551	3	strange	strange	ADJ
ejpam-6506	551	4	attractors	attractor	NOUN
ejpam-6506	551	5	in	in	ADP
ejpam-6506	551	6	the	the	DET
ejpam-6506	551	7	lorenz-84	lorenz-84	PROPN
ejpam-6506	551	8	climate	climate	NOUN
ejpam-6506	551	9	model	model	NOUN
ejpam-6506	551	10	with	with	ADP
ejpam-6506	551	11	seasonal	seasonal	ADJ
ejpam-6506	551	12	forcing	forcing	NOUN
ejpam-6506	551	13	.	.	PUNCT
ejpam-6506	552	1	nonlinearity	nonlinearity	NOUN
ejpam-6506	552	2	,	,	PUNCT
ejpam-6506	552	3	15(4):1205–1267	15(4):1205–1267	NUM
ejpam-6506	552	4	,	,	PUNCT
ejpam-6506	552	5	2002	2002	NUM
ejpam-6506	552	6	.	.	PUNCT
ejpam-6506	553	1	[	[	X
ejpam-6506	553	2	38	38	NUM
ejpam-6506	553	3	]	]	PUNCT
ejpam-6506	553	4	h.	h.	PROPN
ejpam-6506	553	5	broer	broer	PROPN
ejpam-6506	553	6	,	,	PUNCT
ejpam-6506	553	7	r.	r.	PROPN
ejpam-6506	553	8	vitolo	vitolo	PROPN
ejpam-6506	553	9	,	,	PUNCT
ejpam-6506	553	10	and	and	CCONJ
ejpam-6506	553	11	c.	c.	PROPN
ejpam-6506	553	12	simó.	simó.	PROPN
ejpam-6506	553	13	quasi	quasi	ADJ
ejpam-6506	553	14	-	-	ADJ
ejpam-6506	553	15	periodic	periodic	ADJ
ejpam-6506	553	16	hénon	hénon	NOUN
ejpam-6506	553	17	-	-	PUNCT
ejpam-6506	553	18	like	like	ADJ
ejpam-6506	553	19	attractors	attractor	NOUN
ejpam-6506	553	20	in	in	ADP
ejpam-6506	553	21	the	the	DET
ejpam-6506	553	22	lorenz-84	lorenz-84	PROPN
ejpam-6506	553	23	climate	climate	NOUN
ejpam-6506	553	24	model	model	NOUN
ejpam-6506	553	25	with	with	ADP
ejpam-6506	553	26	seasonal	seasonal	ADJ
ejpam-6506	553	27	forcing	forcing	NOUN
ejpam-6506	553	28	.	.	PUNCT
ejpam-6506	554	1	in	in	ADP
ejpam-6506	554	2	european	european	ADJ
ejpam-6506	554	3	conference	conference	NOUN
ejpam-6506	554	4	on	on	ADP
ejpam-6506	554	5	qualitative	qualitative	ADJ
ejpam-6506	554	6	theory	theory	NOUN
ejpam-6506	554	7	of	of	ADP
ejpam-6506	554	8	differential	differential	ADJ
ejpam-6506	554	9	equations	equation	NOUN
ejpam-6506	554	10	2003	2003	NUM
ejpam-6506	554	11	,	,	PUNCT
ejpam-6506	554	12	pages	page	NOUN
ejpam-6506	554	13	601–606	601–606	NUM
ejpam-6506	554	14	.	.	PUNCT
ejpam-6506	555	1	world	world	NOUN
ejpam-6506	555	2	scientific	scientific	PROPN
ejpam-6506	555	3	,	,	PUNCT
ejpam-6506	555	4	singapore	singapore	PROPN
ejpam-6506	555	5	,	,	PUNCT
ejpam-6506	555	6	2005	2005	NUM
ejpam-6506	555	7	.	.	PUNCT
ejpam-6506	556	1	[	[	X
ejpam-6506	556	2	39	39	NUM
ejpam-6506	556	3	]	]	PUNCT
ejpam-6506	556	4	r.	r.	PROPN
ejpam-6506	556	5	vitolo	vitolo	PROPN
ejpam-6506	556	6	,	,	PUNCT
ejpam-6506	556	7	h.	h.	PROPN
ejpam-6506	556	8	broer	broer	PROPN
ejpam-6506	556	9	,	,	PUNCT
ejpam-6506	556	10	and	and	CCONJ
ejpam-6506	556	11	c.	c.	PROPN
ejpam-6506	556	12	simó.	simó.	PROPN
ejpam-6506	556	13	quasi	quasi	ADJ
ejpam-6506	556	14	-	-	ADJ
ejpam-6506	556	15	periodic	periodic	ADJ
ejpam-6506	556	16	bifurcations	bifurcation	NOUN
ejpam-6506	556	17	of	of	ADP
ejpam-6506	556	18	invariant	invariant	ADJ
ejpam-6506	556	19	circles	circle	NOUN
ejpam-6506	556	20	in	in	ADP
ejpam-6506	556	21	low	low	ADJ
ejpam-6506	556	22	-	-	PUNCT
ejpam-6506	556	23	dimensional	dimensional	ADJ
ejpam-6506	556	24	dissipative	dissipative	ADJ
ejpam-6506	556	25	dynamical	dynamical	ADJ
ejpam-6506	556	26	systems	system	NOUN
ejpam-6506	556	27	.	.	PUNCT
ejpam-6506	557	1	regular	regular	ADJ
ejpam-6506	557	2	and	and	CCONJ
ejpam-6506	557	3	chaotic	chaotic	ADJ
ejpam-6506	557	4	dynamics	dynamic	NOUN
ejpam-6506	557	5	,	,	PUNCT
ejpam-6506	557	6	16(2–3):154–184	16(2–3):154–184	PROPN
ejpam-6506	557	7	,	,	PUNCT
ejpam-6506	557	8	2011	2011	NUM
ejpam-6506	557	9	.	.	PUNCT