id	sid	tid	token	lemma	pos
ejpam-5576	1	1	european	european	PROPN
ejpam-5576	1	2	journal	journal	PROPN
ejpam-5576	1	3	of	of	ADP
ejpam-5576	1	4	pure	pure	ADJ
ejpam-5576	1	5	and	and	CCONJ
ejpam-5576	1	6	applied	applied	ADJ
ejpam-5576	1	7	mathematics	mathematic	NOUN
ejpam-5576	1	8	2025	2025	NUM
ejpam-5576	1	9	,	,	PUNCT
ejpam-5576	1	10	vol	vol	NOUN
ejpam-5576	1	11	.	.	PROPN
ejpam-5576	1	12	18	18	NUM
ejpam-5576	1	13	,	,	PUNCT
ejpam-5576	1	14	issue	issue	NOUN
ejpam-5576	1	15	1	1	NUM
ejpam-5576	1	16	,	,	PUNCT
ejpam-5576	1	17	article	article	NOUN
ejpam-5576	1	18	number	number	NOUN
ejpam-5576	1	19	5576	5576	NUM
ejpam-5576	1	20	issn	issn	PROPN
ejpam-5576	1	21	1307	1307	NUM
ejpam-5576	1	22	-	-	SYM
ejpam-5576	1	23	5543	5543	NUM
ejpam-5576	1	24	–	–	PUNCT
ejpam-5576	1	25	ejpam.com	ejpam.com	X
ejpam-5576	1	26	published	publish	VERB
ejpam-5576	1	27	by	by	ADP
ejpam-5576	1	28	new	new	PROPN
ejpam-5576	1	29	york	york	PROPN
ejpam-5576	1	30	business	business	PROPN
ejpam-5576	1	31	global	global	ADJ
ejpam-5576	1	32	stability	stability	NOUN
ejpam-5576	1	33	analysis	analysis	NOUN
ejpam-5576	1	34	of	of	ADP
ejpam-5576	1	35	fractional	fractional	ADJ
ejpam-5576	1	36	chaotic	chaotic	ADJ
ejpam-5576	1	37	and	and	CCONJ
ejpam-5576	1	38	fractional	fractional	ADJ
ejpam-5576	1	39	-	-	PUNCT
ejpam-5576	1	40	order	order	NOUN
ejpam-5576	1	41	hyperchain	hyperchain	NOUN
ejpam-5576	1	42	systems	system	NOUN
ejpam-5576	1	43	using	use	VERB
ejpam-5576	1	44	lyapunov	lyapunov	NOUN
ejpam-5576	1	45	functions	function	NOUN
ejpam-5576	2	1	thwiba	thwiba	PROPN
ejpam-5576	2	2	a.	a.	PROPN
ejpam-5576	2	3	khalid1,2	khalid1,2	PROPN
ejpam-5576	2	4	1	1	NUM
ejpam-5576	2	5	department	department	NOUN
ejpam-5576	2	6	of	of	ADP
ejpam-5576	2	7	mathematics	mathematic	NOUN
ejpam-5576	2	8	,	,	PUNCT
ejpam-5576	2	9	faculty	faculty	NOUN
ejpam-5576	2	10	of	of	ADP
ejpam-5576	2	11	science	science	NOUN
ejpam-5576	2	12	,	,	PUNCT
ejpam-5576	2	13	al	al	PROPN
ejpam-5576	2	14	-	-	PUNCT
ejpam-5576	2	15	baha	baha	PROPN
ejpam-5576	2	16	university	university	PROPN
ejpam-5576	2	17	,	,	PUNCT
ejpam-5576	2	18	albaha	albaha	NOUN
ejpam-5576	2	19	65525	65525	NUM
ejpam-5576	2	20	,	,	PUNCT
ejpam-5576	2	21	saudi	saudi	PROPN
ejpam-5576	2	22	arabia	arabia	PROPN
ejpam-5576	2	23	2	2	NUM
ejpam-5576	2	24	department	department	NOUN
ejpam-5576	2	25	of	of	ADP
ejpam-5576	2	26	mathematics	mathematics	PROPN
ejpam-5576	2	27	,	,	PUNCT
ejpam-5576	2	28	academy	academy	NOUN
ejpam-5576	2	29	of	of	ADP
ejpam-5576	2	30	engineering	engineering	NOUN
ejpam-5576	2	31	and	and	CCONJ
ejpam-5576	2	32	medical	medical	ADJ
ejpam-5576	2	33	sciences	science	NOUN
ejpam-5576	2	34	,	,	PUNCT
ejpam-5576	2	35	khartoum	khartoum	PROPN
ejpam-5576	2	36	12045	12045	NUM
ejpam-5576	2	37	,	,	PUNCT
ejpam-5576	2	38	sudan	sudan	PROPN
ejpam-5576	2	39	abstract	abstract	NOUN
ejpam-5576	2	40	.	.	PUNCT
ejpam-5576	3	1	this	this	DET
ejpam-5576	3	2	study	study	NOUN
ejpam-5576	3	3	investigates	investigate	VERB
ejpam-5576	3	4	the	the	DET
ejpam-5576	3	5	stability	stability	NOUN
ejpam-5576	3	6	of	of	ADP
ejpam-5576	3	7	nonlinear	nonlinear	ADJ
ejpam-5576	3	8	systems	system	NOUN
ejpam-5576	3	9	,	,	PUNCT
ejpam-5576	3	10	particularly	particularly	ADV
ejpam-5576	3	11	those	those	PRON
ejpam-5576	3	12	characterized	characterize	VERB
ejpam-5576	3	13	by	by	ADP
ejpam-5576	3	14	eigenvalues	eigenvalue	NOUN
ejpam-5576	3	15	.	.	PUNCT
ejpam-5576	4	1	we	we	PRON
ejpam-5576	4	2	introduce	introduce	VERB
ejpam-5576	4	3	dynamic	dynamic	ADJ
ejpam-5576	4	4	lyapunov	lyapunov	NOUN
ejpam-5576	4	5	functions	function	NOUN
ejpam-5576	4	6	as	as	ADP
ejpam-5576	4	7	a	a	DET
ejpam-5576	4	8	mechanism	mechanism	NOUN
ejpam-5576	4	9	for	for	ADP
ejpam-5576	4	10	stability	stability	NOUN
ejpam-5576	4	11	analysis	analysis	NOUN
ejpam-5576	4	12	,	,	PUNCT
ejpam-5576	4	13	especially	especially	ADV
ejpam-5576	4	14	when	when	SCONJ
ejpam-5576	4	15	explicit	explicit	ADJ
ejpam-5576	4	16	solutions	solution	NOUN
ejpam-5576	4	17	are	be	AUX
ejpam-5576	4	18	not	not	PART
ejpam-5576	4	19	available	available	ADJ
ejpam-5576	4	20	.	.	PUNCT
ejpam-5576	5	1	the	the	DET
ejpam-5576	5	2	authors	author	NOUN
ejpam-5576	5	3	provide	provide	VERB
ejpam-5576	5	4	stability	stability	NOUN
ejpam-5576	5	5	criteria	criterion	NOUN
ejpam-5576	5	6	at	at	ADP
ejpam-5576	5	7	the	the	DET
ejpam-5576	5	8	equilibrium	equilibrium	NOUN
ejpam-5576	5	9	point	point	NOUN
ejpam-5576	5	10	,	,	PUNCT
ejpam-5576	5	11	demonstrating	demonstrate	VERB
ejpam-5576	5	12	exponential	exponential	ADJ
ejpam-5576	5	13	stability	stability	NOUN
ejpam-5576	5	14	and	and	CCONJ
ejpam-5576	5	15	ensuring	ensure	VERB
ejpam-5576	5	16	a	a	DET
ejpam-5576	5	17	return	return	NOUN
ejpam-5576	5	18	to	to	ADP
ejpam-5576	5	19	equilibrium	equilibrium	NOUN
ejpam-5576	5	20	following	follow	VERB
ejpam-5576	5	21	disturbances	disturbance	NOUN
ejpam-5576	5	22	.	.	PUNCT
ejpam-5576	6	1	the	the	DET
ejpam-5576	6	2	results	result	NOUN
ejpam-5576	6	3	have	have	VERB
ejpam-5576	6	4	a	a	DET
ejpam-5576	6	5	big	big	ADJ
ejpam-5576	6	6	effect	effect	NOUN
ejpam-5576	6	7	on	on	ADP
ejpam-5576	6	8	the	the	DET
ejpam-5576	6	9	design	design	NOUN
ejpam-5576	6	10	and	and	CCONJ
ejpam-5576	6	11	analysis	analysis	NOUN
ejpam-5576	6	12	of	of	ADP
ejpam-5576	6	13	control	control	NOUN
ejpam-5576	6	14	systems	system	NOUN
ejpam-5576	6	15	because	because	SCONJ
ejpam-5576	6	16	they	they	PRON
ejpam-5576	6	17	provide	provide	VERB
ejpam-5576	6	18	a	a	DET
ejpam-5576	6	19	new	new	ADJ
ejpam-5576	6	20	way	way	NOUN
ejpam-5576	6	21	to	to	PART
ejpam-5576	6	22	achieve	achieve	VERB
ejpam-5576	6	23	stability	stability	NOUN
ejpam-5576	6	24	without	without	ADP
ejpam-5576	6	25	using	use	VERB
ejpam-5576	6	26	complicated	complicated	ADJ
ejpam-5576	6	27	calculations	calculation	NOUN
ejpam-5576	6	28	or	or	CCONJ
ejpam-5576	6	29	assumptions	assumption	NOUN
ejpam-5576	6	30	.	.	PUNCT
ejpam-5576	7	1	the	the	DET
ejpam-5576	7	2	abstract	abstract	NOUN
ejpam-5576	7	3	delineates	delineate	VERB
ejpam-5576	7	4	the	the	DET
ejpam-5576	7	5	riemann	riemann	PROPN
ejpam-5576	7	6	–	–	PUNCT
ejpam-5576	7	7	liouville	liouville	VERB
ejpam-5576	7	8	fractional	fractional	ADJ
ejpam-5576	7	9	integral	integral	ADJ
ejpam-5576	7	10	,	,	PUNCT
ejpam-5576	7	11	caputo	caputo	PROPN
ejpam-5576	7	12	fractional	fractional	PROPN
ejpam-5576	7	13	integrals	integral	NOUN
ejpam-5576	7	14	and	and	CCONJ
ejpam-5576	7	15	derivatives	derivative	NOUN
ejpam-5576	7	16	,	,	PUNCT
ejpam-5576	7	17	and	and	CCONJ
ejpam-5576	7	18	the	the	DET
ejpam-5576	7	19	mittag	mittag	ADJ
ejpam-5576	7	20	–	–	PUNCT
ejpam-5576	7	21	leffler	leffler	NOUN
ejpam-5576	7	22	function	function	NOUN
ejpam-5576	7	23	.	.	PUNCT
ejpam-5576	8	1	the	the	DET
ejpam-5576	8	2	research	research	NOUN
ejpam-5576	8	3	employs	employ	VERB
ejpam-5576	8	4	the	the	DET
ejpam-5576	8	5	root	root	NOUN
ejpam-5576	8	6	–	–	PUNCT
ejpam-5576	8	7	horwitz	horwitz	PROPN
ejpam-5576	8	8	criteria	criterion	NOUN
ejpam-5576	8	9	and	and	CCONJ
ejpam-5576	8	10	introduces	introduce	VERB
ejpam-5576	8	11	a	a	DET
ejpam-5576	8	12	novel	novel	ADJ
ejpam-5576	8	13	formulation	formulation	NOUN
ejpam-5576	8	14	of	of	ADP
ejpam-5576	8	15	the	the	DET
ejpam-5576	8	16	superchaotic	superchaotic	ADJ
ejpam-5576	8	17	chen	chen	PROPN
ejpam-5576	8	18	system	system	PROPN
ejpam-5576	8	19	.	.	PUNCT
ejpam-5576	9	1	fractional	fractional	ADJ
ejpam-5576	9	2	superchain	superchain	NOUN
ejpam-5576	9	3	systems	system	NOUN
ejpam-5576	9	4	(	(	PUNCT
ejpam-5576	9	5	fhcs	fhcs	PROPN
ejpam-5576	9	6	)	)	PUNCT
ejpam-5576	9	7	represent	represent	VERB
ejpam-5576	9	8	a	a	DET
ejpam-5576	9	9	sophisticated	sophisticated	ADJ
ejpam-5576	9	10	framework	framework	NOUN
ejpam-5576	9	11	for	for	ADP
ejpam-5576	9	12	investigation	investigation	NOUN
ejpam-5576	9	13	.	.	PUNCT
ejpam-5576	10	1	2020	2020	NUM
ejpam-5576	10	2	mathematics	mathematic	NOUN
ejpam-5576	10	3	subject	subject	NOUN
ejpam-5576	10	4	classifications	classification	NOUN
ejpam-5576	10	5	:	:	PUNCT
ejpam-5576	10	6	34c28	34c28	NUM
ejpam-5576	10	7	,	,	PUNCT
ejpam-5576	10	8	37c25	37c25	NUM
ejpam-5576	10	9	,	,	PUNCT
ejpam-5576	10	10	34a08	34a08	DET
ejpam-5576	10	11	key	key	ADJ
ejpam-5576	10	12	words	word	NOUN
ejpam-5576	10	13	and	and	CCONJ
ejpam-5576	10	14	phrases	phrase	NOUN
ejpam-5576	10	15	:	:	PUNCT
ejpam-5576	10	16	caputo	caputo	PROPN
ejpam-5576	10	17	derivative	derivative	PROPN
ejpam-5576	10	18	,	,	PUNCT
ejpam-5576	10	19	mittag	mittag	ADJ
ejpam-5576	10	20	-	-	PUNCT
ejpam-5576	10	21	leffler	leffler	NOUN
ejpam-5576	10	22	function	function	NOUN
ejpam-5576	10	23	,	,	PUNCT
ejpam-5576	10	24	hurwitz	hurwitz	PROPN
ejpam-5576	10	25	matrices	matrix	NOUN
ejpam-5576	10	26	,	,	PUNCT
ejpam-5576	10	27	stability	stability	NOUN
ejpam-5576	10	28	analysis	analysis	NOUN
ejpam-5576	10	29	,	,	PUNCT
ejpam-5576	10	30	hyperchain	hyperchain	PROPN
ejpam-5576	10	31	systems	system	NOUN
ejpam-5576	10	32	1	1	NUM
ejpam-5576	10	33	.	.	PUNCT
ejpam-5576	11	1	introduction	introduction	NOUN
ejpam-5576	11	2	the	the	DET
ejpam-5576	11	3	study	study	NOUN
ejpam-5576	11	4	begins	begin	VERB
ejpam-5576	11	5	by	by	ADP
ejpam-5576	11	6	emphasizing	emphasize	VERB
ejpam-5576	11	7	and	and	CCONJ
ejpam-5576	11	8	reinforcing	reinforce	VERB
ejpam-5576	11	9	the	the	DET
ejpam-5576	11	10	importance	importance	NOUN
ejpam-5576	11	11	of	of	ADP
ejpam-5576	11	12	the	the	DET
ejpam-5576	11	13	basic	basic	ADJ
ejpam-5576	11	14	ideas	idea	NOUN
ejpam-5576	11	15	and	and	CCONJ
ejpam-5576	11	16	properties	property	NOUN
ejpam-5576	11	17	of	of	ADP
ejpam-5576	11	18	fractional	fractional	ADJ
ejpam-5576	11	19	calculus	calculus	NOUN
ejpam-5576	11	20	,	,	PUNCT
ejpam-5576	11	21	including	include	VERB
ejpam-5576	11	22	derivatives	derivative	NOUN
ejpam-5576	11	23	and	and	CCONJ
ejpam-5576	11	24	integrals	integral	NOUN
ejpam-5576	11	25	of	of	ADP
ejpam-5576	11	26	incorrect	incorrect	ADJ
ejpam-5576	11	27	order	order	NOUN
ejpam-5576	11	28	.	.	PUNCT
ejpam-5576	12	1	it	it	PRON
ejpam-5576	12	2	has	have	AUX
ejpam-5576	12	3	become	become	VERB
ejpam-5576	12	4	one	one	NUM
ejpam-5576	12	5	of	of	ADP
ejpam-5576	12	6	the	the	DET
ejpam-5576	12	7	most	most	ADV
ejpam-5576	12	8	advanced	advanced	ADJ
ejpam-5576	12	9	fields	field	NOUN
ejpam-5576	12	10	in	in	ADP
ejpam-5576	12	11	applied	applied	ADJ
ejpam-5576	12	12	mathematics	mathematic	NOUN
ejpam-5576	12	13	,	,	PUNCT
ejpam-5576	12	14	physics	physics	NOUN
ejpam-5576	12	15	,	,	PUNCT
ejpam-5576	12	16	and	and	CCONJ
ejpam-5576	12	17	many	many	ADJ
ejpam-5576	12	18	other	other	ADJ
ejpam-5576	12	19	scientific	scientific	ADJ
ejpam-5576	12	20	and	and	CCONJ
ejpam-5576	12	21	technical	technical	ADJ
ejpam-5576	12	22	disciplines	discipline	NOUN
ejpam-5576	12	23	.	.	PUNCT
ejpam-5576	13	1	this	this	DET
ejpam-5576	13	2	rise	rise	NOUN
ejpam-5576	13	3	is	be	AUX
ejpam-5576	13	4	evident	evident	ADJ
ejpam-5576	13	5	from	from	ADP
ejpam-5576	13	6	the	the	DET
ejpam-5576	13	7	many	many	ADJ
ejpam-5576	13	8	important	important	ADJ
ejpam-5576	13	9	works	work	NOUN
ejpam-5576	13	10	that	that	PRON
ejpam-5576	13	11	have	have	AUX
ejpam-5576	13	12	contributed	contribute	VERB
ejpam-5576	13	13	to	to	ADP
ejpam-5576	13	14	the	the	DET
ejpam-5576	13	15	advancement	advancement	NOUN
ejpam-5576	13	16	and	and	CCONJ
ejpam-5576	13	17	use	use	NOUN
ejpam-5576	13	18	of	of	ADP
ejpam-5576	13	19	fractional	fractional	ADJ
ejpam-5576	13	20	calculus	calculus	NOUN
ejpam-5576	13	21	across	across	ADP
ejpam-5576	13	22	different	different	ADJ
ejpam-5576	13	23	settings	setting	NOUN
ejpam-5576	13	24	and	and	CCONJ
ejpam-5576	13	25	disciplines	discipline	NOUN
ejpam-5576	13	26	.	.	PUNCT
ejpam-5576	14	1	lai	lai	PROPN
ejpam-5576	14	2	et	et	PROPN
ejpam-5576	14	3	al	al	PROPN
ejpam-5576	14	4	.	.	PROPN
ejpam-5576	14	5	’s	’s	PART
ejpam-5576	14	6	study[43][3][17	study[43][3][17	VERB
ejpam-5576	14	7	]	]	PUNCT
ejpam-5576	14	8	,	,	PUNCT
ejpam-5576	14	9	which	which	PRON
ejpam-5576	14	10	encompasses	encompass	VERB
ejpam-5576	14	11	control	control	NOUN
ejpam-5576	14	12	theory	theory	NOUN
ejpam-5576	14	13	and	and	CCONJ
ejpam-5576	14	14	dynamical	dynamical	ADJ
ejpam-5576	14	15	systems	system	NOUN
ejpam-5576	14	16	,	,	PUNCT
ejpam-5576	14	17	is	be	AUX
ejpam-5576	14	18	one	one	NUM
ejpam-5576	14	19	such	such	ADJ
ejpam-5576	14	20	example	example	NOUN
ejpam-5576	14	21	.	.	PUNCT
ejpam-5576	15	1	the	the	DET
ejpam-5576	15	2	introduction	introduction	NOUN
ejpam-5576	15	3	highlights	highlight	VERB
ejpam-5576	15	4	dynamical	dynamical	ADJ
ejpam-5576	15	5	liapunov	liapunov	NOUN
ejpam-5576	15	6	functions	function	NOUN
ejpam-5576	15	7	as	as	ADP
ejpam-5576	15	8	an	an	DET
ejpam-5576	15	9	innovative	innovative	ADJ
ejpam-5576	15	10	method	method	NOUN
ejpam-5576	15	11	for	for	ADP
ejpam-5576	15	12	assessing	assess	VERB
ejpam-5576	15	13	the	the	DET
ejpam-5576	15	14	stability	stability	NOUN
ejpam-5576	15	15	of	of	ADP
ejpam-5576	15	16	nonlinear	nonlinear	ADJ
ejpam-5576	15	17	systems	system	NOUN
ejpam-5576	15	18	.	.	PUNCT
ejpam-5576	16	1	doi	doi	NOUN
ejpam-5576	16	2	:	:	PUNCT
ejpam-5576	16	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5576	https://doi.org/10.29020/nybg.ejpam.v18i1.5576	NUM
ejpam-5576	16	4	email	email	NOUN
ejpam-5576	16	5	address	address	NOUN
ejpam-5576	16	6	:	:	PUNCT
ejpam-5576	16	7	tabdulrhman@bu.edu.sa	tabdulrhman@bu.edu.sa	PROPN
ejpam-5576	16	8	(	(	PUNCT
ejpam-5576	16	9	t.	t.	PROPN
ejpam-5576	16	10	khalid	khalid	PROPN
ejpam-5576	16	11	)	)	PUNCT
ejpam-5576	16	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5576	17	1	1	1	NUM
ejpam-5576	17	2	copyright	copyright	NOUN
ejpam-5576	17	3	:	:	PUNCT
ejpam-5576	17	4	©	©	PROPN
ejpam-5576	17	5	2025	2025	NUM
ejpam-5576	17	6	the	the	DET
ejpam-5576	17	7	author(s	author(s	NOUN
ejpam-5576	17	8	)	)	PUNCT
ejpam-5576	17	9	.	.	PUNCT
ejpam-5576	18	1	(	(	PUNCT
ejpam-5576	18	2	cc	cc	NOUN
ejpam-5576	18	3	by	by	ADP
ejpam-5576	18	4	-	-	PUNCT
ejpam-5576	18	5	nc	nc	PROPN
ejpam-5576	18	6	4.0	4.0	NUM
ejpam-5576	18	7	)	)	PUNCT
ejpam-5576	18	8	t.	t.	PROPN
ejpam-5576	18	9	khalid	khalid	PROPN
ejpam-5576	18	10	/	/	SYM
ejpam-5576	18	11	eur	eur	PROPN
ejpam-5576	18	12	.	.	PUNCT
ejpam-5576	19	1	j.	j.	PROPN
ejpam-5576	19	2	pure	pure	PROPN
ejpam-5576	19	3	appl	appl	PROPN
ejpam-5576	19	4	.	.	PROPN
ejpam-5576	19	5	math	math	PROPN
ejpam-5576	19	6	,	,	PUNCT
ejpam-5576	19	7	18	18	NUM
ejpam-5576	19	8	(	(	PUNCT
ejpam-5576	19	9	1	1	NUM
ejpam-5576	19	10	)	)	PUNCT
ejpam-5576	19	11	(	(	PUNCT
ejpam-5576	19	12	2025	2025	NUM
ejpam-5576	19	13	)	)	PUNCT
ejpam-5576	19	14	,	,	PUNCT
ejpam-5576	19	15	5576	5576	NUM
ejpam-5576	19	16	2	2	NUM
ejpam-5576	19	17	of	of	ADP
ejpam-5576	19	18	16	16	NUM
ejpam-5576	19	19	this	this	DET
ejpam-5576	19	20	research	research	NOUN
ejpam-5576	19	21	looks	look	VERB
ejpam-5576	19	22	at	at	ADP
ejpam-5576	19	23	the	the	DET
ejpam-5576	19	24	differences	difference	NOUN
ejpam-5576	19	25	between	between	ADP
ejpam-5576	19	26	dynamical	dynamical	ADJ
ejpam-5576	19	27	liabanov	liabanov	NOUN
ejpam-5576	19	28	functions	function	NOUN
ejpam-5576	19	29	and	and	CCONJ
ejpam-5576	19	30	regular	regular	ADJ
ejpam-5576	19	31	liabanov	liabanov	NOUN
ejpam-5576	19	32	functions	function	NOUN
ejpam-5576	19	33	.	.	PUNCT
ejpam-5576	20	1	it	it	PRON
ejpam-5576	20	2	demonstrates	demonstrate	VERB
ejpam-5576	20	3	that	that	SCONJ
ejpam-5576	20	4	we	we	PRON
ejpam-5576	20	5	can	can	AUX
ejpam-5576	20	6	create	create	VERB
ejpam-5576	20	7	dynamical	dynamical	ADJ
ejpam-5576	20	8	liabanov	liabanov	NOUN
ejpam-5576	20	9	functions	function	NOUN
ejpam-5576	20	10	without	without	ADP
ejpam-5576	20	11	explicitly	explicitly	ADV
ejpam-5576	20	12	solving	solve	VERB
ejpam-5576	20	13	the	the	DET
ejpam-5576	20	14	differential	differential	ADJ
ejpam-5576	20	15	equations	equation	NOUN
ejpam-5576	20	16	they	they	PRON
ejpam-5576	20	17	rely	rely	VERB
ejpam-5576	20	18	on	on	ADP
ejpam-5576	20	19	.	.	PUNCT
ejpam-5576	21	1	fractional	fractional	ADJ
ejpam-5576	21	2	superchain	superchain	NOUN
ejpam-5576	21	3	systems	system	NOUN
ejpam-5576	21	4	(	(	PUNCT
ejpam-5576	21	5	fhcs	fhcs	PROPN
ejpam-5576	21	6	)	)	PUNCT
ejpam-5576	21	7	also	also	ADV
ejpam-5576	21	8	serve	serve	VERB
ejpam-5576	21	9	as	as	ADP
ejpam-5576	21	10	a	a	DET
ejpam-5576	21	11	framework	framework	NOUN
ejpam-5576	21	12	for	for	ADP
ejpam-5576	21	13	analyzing	analyze	VERB
ejpam-5576	21	14	complex	complex	ADJ
ejpam-5576	21	15	systems	system	NOUN
ejpam-5576	21	16	characterized	characterize	VERB
ejpam-5576	21	17	by	by	ADP
ejpam-5576	21	18	fractal	fractal	ADJ
ejpam-5576	21	19	dynamics	dynamic	NOUN
ejpam-5576	21	20	and	and	CCONJ
ejpam-5576	21	21	strongly	strongly	ADV
ejpam-5576	21	22	structured	structured	ADJ
ejpam-5576	21	23	interactions	interaction	NOUN
ejpam-5576	21	24	.	.	PUNCT
ejpam-5576	22	1	we	we	PRON
ejpam-5576	22	2	use	use	VERB
ejpam-5576	22	3	fhcs	fhc	NOUN
ejpam-5576	22	4	,	,	PUNCT
ejpam-5576	22	5	the	the	DET
ejpam-5576	22	6	adomian	adomian	NOUN
ejpam-5576	22	7	decomposition	decomposition	NOUN
ejpam-5576	22	8	method	method	NOUN
ejpam-5576	22	9	(	(	PUNCT
ejpam-5576	22	10	adm	adm	PROPN
ejpam-5576	22	11	)	)	PUNCT
ejpam-5576	22	12	,	,	PUNCT
ejpam-5576	22	13	and	and	CCONJ
ejpam-5576	22	14	the	the	DET
ejpam-5576	22	15	variational	variational	ADJ
ejpam-5576	22	16	iteration	iteration	NOUN
ejpam-5576	22	17	method	method	NOUN
ejpam-5576	22	18	(	(	PUNCT
ejpam-5576	22	19	vim	vim	NOUN
ejpam-5576	22	20	)	)	PUNCT
ejpam-5576	22	21	to	to	PART
ejpam-5576	22	22	solve	solve	VERB
ejpam-5576	22	23	fractional	fractional	ADJ
ejpam-5576	22	24	differential	differential	ADJ
ejpam-5576	22	25	equations	equation	NOUN
ejpam-5576	22	26	.	.	PUNCT
ejpam-5576	23	1	the	the	DET
ejpam-5576	23	2	adomian	adomian	NOUN
ejpam-5576	23	3	decomposition	decomposition	NOUN
ejpam-5576	23	4	method	method	NOUN
ejpam-5576	23	5	(	(	PUNCT
ejpam-5576	23	6	adm	adm	PROPN
ejpam-5576	23	7	)	)	PUNCT
ejpam-5576	23	8	provides	provide	VERB
ejpam-5576	23	9	a	a	DET
ejpam-5576	23	10	straightforward	straightforward	ADJ
ejpam-5576	23	11	method	method	NOUN
ejpam-5576	23	12	for	for	ADP
ejpam-5576	23	13	treating	treat	VERB
ejpam-5576	23	14	nonlinear	nonlinear	ADJ
ejpam-5576	23	15	differential	differential	ADJ
ejpam-5576	23	16	equations	equation	NOUN
ejpam-5576	23	17	,	,	PUNCT
ejpam-5576	23	18	while	while	SCONJ
ejpam-5576	23	19	the	the	DET
ejpam-5576	23	20	variational	variational	ADJ
ejpam-5576	23	21	iteration	iteration	NOUN
ejpam-5576	23	22	method	method	NOUN
ejpam-5576	23	23	(	(	PUNCT
ejpam-5576	23	24	vim	vim	NOUN
ejpam-5576	23	25	)	)	PUNCT
ejpam-5576	23	26	offers	offer	VERB
ejpam-5576	23	27	an	an	DET
ejpam-5576	23	28	adaptable	adaptable	ADJ
ejpam-5576	23	29	strategy	strategy	NOUN
ejpam-5576	23	30	for	for	ADP
ejpam-5576	23	31	managing	manage	VERB
ejpam-5576	23	32	nonlinearity	nonlinearity	NOUN
ejpam-5576	23	33	.	.	PUNCT
ejpam-5576	24	1	alternative	alternative	ADJ
ejpam-5576	24	2	techniques	technique	NOUN
ejpam-5576	24	3	include	include	VERB
ejpam-5576	24	4	the	the	DET
ejpam-5576	24	5	fractional	fractional	ADJ
ejpam-5576	24	6	fourier	fourier	NOUN
ejpam-5576	24	7	transform	transform	NOUN
ejpam-5576	24	8	,	,	PUNCT
ejpam-5576	24	9	the	the	DET
ejpam-5576	24	10	laplace	laplace	NOUN
ejpam-5576	24	11	transform	transform	NOUN
ejpam-5576	24	12	,	,	PUNCT
ejpam-5576	24	13	and	and	CCONJ
ejpam-5576	24	14	numerical	numerical	ADJ
ejpam-5576	24	15	methods	method	NOUN
ejpam-5576	24	16	.	.	PUNCT
ejpam-5576	25	1	[	[	X
ejpam-5576	25	2	19][38][20][18	19][38][20][18	NUM
ejpam-5576	25	3	]	]	PUNCT
ejpam-5576	25	4	.	.	PUNCT
ejpam-5576	26	1	by	by	ADP
ejpam-5576	26	2	combining	combine	VERB
ejpam-5576	26	3	these	these	DET
ejpam-5576	26	4	methodologies	methodology	NOUN
ejpam-5576	26	5	,	,	PUNCT
ejpam-5576	26	6	researchers	researcher	NOUN
ejpam-5576	26	7	can	can	AUX
ejpam-5576	26	8	improve	improve	VERB
ejpam-5576	26	9	the	the	DET
ejpam-5576	26	10	modeling	modeling	NOUN
ejpam-5576	26	11	,	,	PUNCT
ejpam-5576	26	12	analysis	analysis	NOUN
ejpam-5576	26	13	,	,	PUNCT
ejpam-5576	26	14	and	and	CCONJ
ejpam-5576	26	15	control	control	NOUN
ejpam-5576	26	16	of	of	ADP
ejpam-5576	26	17	complex	complex	ADJ
ejpam-5576	26	18	systems	system	NOUN
ejpam-5576	26	19	across	across	ADP
ejpam-5576	26	20	many	many	ADJ
ejpam-5576	26	21	disciplines	discipline	NOUN
ejpam-5576	26	22	.	.	PUNCT
ejpam-5576	27	1	the	the	DET
ejpam-5576	27	2	first	first	ADJ
ejpam-5576	27	3	section	section	NOUN
ejpam-5576	27	4	classifies	classify	VERB
ejpam-5576	27	5	fractional	fractional	ADJ
ejpam-5576	27	6	derivatives	derivative	NOUN
ejpam-5576	27	7	into	into	ADP
ejpam-5576	27	8	several	several	ADJ
ejpam-5576	27	9	types	type	NOUN
ejpam-5576	27	10	,	,	PUNCT
ejpam-5576	27	11	such	such	ADJ
ejpam-5576	27	12	as	as	ADP
ejpam-5576	27	13	the	the	DET
ejpam-5576	27	14	riemann	riemann	PROPN
ejpam-5576	27	15	–	–	PUNCT
ejpam-5576	27	16	liouville	liouville	PROPN
ejpam-5576	27	17	(	(	PUNCT
ejpam-5576	27	18	rl	rl	NOUN
ejpam-5576	27	19	)	)	PUNCT
ejpam-5576	27	20	fractional	fractional	ADJ
ejpam-5576	27	21	integral	integral	ADJ
ejpam-5576	27	22	,	,	PUNCT
ejpam-5576	27	23	the	the	DET
ejpam-5576	27	24	caputo	caputo	PROPN
ejpam-5576	27	25	(	(	PUNCT
ejpam-5576	27	26	c	c	NOUN
ejpam-5576	27	27	)	)	PUNCT
ejpam-5576	27	28	fractional	fractional	ADJ
ejpam-5576	27	29	derivative	derivative	NOUN
ejpam-5576	27	30	,	,	PUNCT
ejpam-5576	27	31	the	the	DET
ejpam-5576	27	32	caputo	caputo	PROPN
ejpam-5576	27	33	–	–	PUNCT
ejpam-5576	27	34	fabrizio	fabrizio	PROPN
ejpam-5576	27	35	(	(	PUNCT
ejpam-5576	27	36	cf	cf	NOUN
ejpam-5576	27	37	)	)	PUNCT
ejpam-5576	27	38	fractional	fractional	ADJ
ejpam-5576	27	39	derivative	derivative	NOUN
ejpam-5576	27	40	,	,	PUNCT
ejpam-5576	27	41	and	and	CCONJ
ejpam-5576	27	42	the	the	DET
ejpam-5576	27	43	atangana	atangana	PROPN
ejpam-5576	27	44	–	–	PUNCT
ejpam-5576	27	45	pagliano	pagliano	ADJ
ejpam-5576	27	46	–	–	PUNCT
ejpam-5576	27	47	cabuto	cabuto	NOUN
ejpam-5576	27	48	(	(	PUNCT
ejpam-5576	27	49	abc	abc	PROPN
ejpam-5576	27	50	)	)	PUNCT
ejpam-5576	27	51	fractional	fractional	ADJ
ejpam-5576	27	52	derivative	derivative	NOUN
ejpam-5576	27	53	.	.	PUNCT
ejpam-5576	28	1	this	this	PRON
ejpam-5576	28	2	is	be	AUX
ejpam-5576	28	3	context	context	NOUN
ejpam-5576	28	4	for	for	ADP
ejpam-5576	28	5	investigating	investigate	VERB
ejpam-5576	28	6	fractional	fractional	ADJ
ejpam-5576	28	7	processes	process	NOUN
ejpam-5576	28	8	and	and	CCONJ
ejpam-5576	28	9	their	their	PRON
ejpam-5576	28	10	use	use	NOUN
ejpam-5576	28	11	in	in	ADP
ejpam-5576	28	12	evaluating	evaluate	VERB
ejpam-5576	28	13	the	the	DET
ejpam-5576	28	14	stability	stability	NOUN
ejpam-5576	28	15	of	of	ADP
ejpam-5576	28	16	nonlinear	nonlinear	ADJ
ejpam-5576	28	17	systems[24	systems[24	NOUN
ejpam-5576	28	18	]	]	PUNCT
ejpam-5576	28	19	.	.	PUNCT
ejpam-5576	29	1	a	a	DET
ejpam-5576	29	2	comprehensive	comprehensive	ADJ
ejpam-5576	29	3	understanding	understanding	NOUN
ejpam-5576	29	4	of	of	ADP
ejpam-5576	29	5	the	the	DET
ejpam-5576	29	6	mathematical	mathematical	ADJ
ejpam-5576	29	7	framework	framework	NOUN
ejpam-5576	29	8	used	use	VERB
ejpam-5576	29	9	in	in	ADP
ejpam-5576	29	10	the	the	DET
ejpam-5576	29	11	research	research	NOUN
ejpam-5576	29	12	requires	require	VERB
ejpam-5576	29	13	integrating	integrate	VERB
ejpam-5576	29	14	each	each	PRON
ejpam-5576	29	15	of	of	ADP
ejpam-5576	29	16	these	these	DET
ejpam-5576	29	17	concepts	concept	NOUN
ejpam-5576	29	18	.	.	PUNCT
ejpam-5576	30	1	in	in	ADP
ejpam-5576	30	2	section	section	NOUN
ejpam-5576	30	3	2	2	NUM
ejpam-5576	30	4	,	,	PUNCT
ejpam-5576	30	5	we	we	PRON
ejpam-5576	30	6	talk	talk	VERB
ejpam-5576	30	7	about	about	ADP
ejpam-5576	30	8	how	how	SCONJ
ejpam-5576	30	9	important	important	ADJ
ejpam-5576	30	10	it	it	PRON
ejpam-5576	30	11	is	be	AUX
ejpam-5576	30	12	to	to	PART
ejpam-5576	30	13	do	do	VERB
ejpam-5576	30	14	stability	stability	NOUN
ejpam-5576	30	15	analysis	analysis	NOUN
ejpam-5576	30	16	in	in	ADP
ejpam-5576	30	17	fractional	fractional	ADJ
ejpam-5576	30	18	systems	system	NOUN
ejpam-5576	30	19	.	.	PUNCT
ejpam-5576	31	1	we	we	PRON
ejpam-5576	31	2	note	note	VERB
ejpam-5576	31	3	that	that	SCONJ
ejpam-5576	31	4	for	for	ADP
ejpam-5576	31	5	stability	stability	NOUN
ejpam-5576	31	6	,	,	PUNCT
ejpam-5576	31	7	the	the	DET
ejpam-5576	31	8	roots	root	NOUN
ejpam-5576	31	9	of	of	ADP
ejpam-5576	31	10	a	a	DET
ejpam-5576	31	11	characteristic	characteristic	ADJ
ejpam-5576	31	12	polynomial	polynomial	NOUN
ejpam-5576	31	13	must	must	AUX
ejpam-5576	31	14	have	have	VERB
ejpam-5576	31	15	negative	negative	ADJ
ejpam-5576	31	16	real	real	ADJ
ejpam-5576	31	17	parts	part	NOUN
ejpam-5576	31	18	,	,	PUNCT
ejpam-5576	31	19	which	which	PRON
ejpam-5576	31	20	is	be	AUX
ejpam-5576	31	21	based	base	VERB
ejpam-5576	31	22	on	on	ADP
ejpam-5576	31	23	the	the	DET
ejpam-5576	31	24	routh	routh	PROPN
ejpam-5576	31	25	-	-	PUNCT
ejpam-5576	31	26	hurwitz	hurwitz	PROPN
ejpam-5576	31	27	criterion	criterion	NOUN
ejpam-5576	32	1	[	[	X
ejpam-5576	32	2	7	7	X
ejpam-5576	32	3	]	]	X
ejpam-5576	32	4	[	[	X
ejpam-5576	32	5	33	33	NUM
ejpam-5576	32	6	]	]	PUNCT
ejpam-5576	32	7	.	.	PUNCT
ejpam-5576	33	1	the	the	DET
ejpam-5576	33	2	introduction	introduction	NOUN
ejpam-5576	33	3	gives	give	VERB
ejpam-5576	33	4	a	a	DET
ejpam-5576	33	5	strong	strong	ADJ
ejpam-5576	33	6	base	base	NOUN
ejpam-5576	33	7	for	for	ADP
ejpam-5576	33	8	the	the	DET
ejpam-5576	33	9	discussion	discussion	NOUN
ejpam-5576	33	10	by	by	ADP
ejpam-5576	33	11	looking	look	VERB
ejpam-5576	33	12	at	at	ADP
ejpam-5576	33	13	fractional	fractional	ADJ
ejpam-5576	33	14	operators	operator	NOUN
ejpam-5576	33	15	,	,	PUNCT
ejpam-5576	33	16	dynamical	dynamical	ADJ
ejpam-5576	33	17	lyapunov	lyapunov	NOUN
ejpam-5576	33	18	functions	function	NOUN
ejpam-5576	33	19	,	,	PUNCT
ejpam-5576	33	20	and	and	CCONJ
ejpam-5576	33	21	how	how	SCONJ
ejpam-5576	33	22	important	important	ADJ
ejpam-5576	33	23	they	they	PRON
ejpam-5576	33	24	are	be	AUX
ejpam-5576	33	25	for	for	ADP
ejpam-5576	33	26	figuring	figure	VERB
ejpam-5576	33	27	out	out	ADP
ejpam-5576	33	28	the	the	DET
ejpam-5576	33	29	stability	stability	NOUN
ejpam-5576	33	30	of	of	ADP
ejpam-5576	33	31	nonlinear	nonlinear	ADJ
ejpam-5576	33	32	systems[1	systems[1	NOUN
ejpam-5576	33	33	]	]	PUNCT
ejpam-5576	33	34	.	.	PUNCT
ejpam-5576	34	1	this	this	PRON
ejpam-5576	34	2	adequately	adequately	ADV
ejpam-5576	34	3	prepares	prepare	VERB
ejpam-5576	34	4	the	the	DET
ejpam-5576	34	5	reader	reader	NOUN
ejpam-5576	34	6	for	for	ADP
ejpam-5576	34	7	further	further	ADJ
ejpam-5576	34	8	study	study	NOUN
ejpam-5576	34	9	.	.	PUNCT
ejpam-5576	35	1	the	the	DET
ejpam-5576	35	2	text	text	NOUN
ejpam-5576	35	3	defines	define	VERB
ejpam-5576	35	4	the	the	DET
ejpam-5576	35	5	fractional	fractional	PROPN
ejpam-5576	35	6	caputo	caputo	PROPN
ejpam-5576	35	7	and	and	CCONJ
ejpam-5576	35	8	riemann	riemann	PROPN
ejpam-5576	35	9	-	-	PUNCT
ejpam-5576	35	10	liouville	liouville	VERB
ejpam-5576	35	11	derivatives	derivative	NOUN
ejpam-5576	35	12	,	,	PUNCT
ejpam-5576	35	13	which	which	PRON
ejpam-5576	35	14	are	be	AUX
ejpam-5576	35	15	fundamental	fundamental	ADJ
ejpam-5576	35	16	to	to	ADP
ejpam-5576	35	17	the	the	DET
ejpam-5576	35	18	description	description	NOUN
ejpam-5576	35	19	and	and	CCONJ
ejpam-5576	35	20	behavior	behavior	NOUN
ejpam-5576	35	21	of	of	ADP
ejpam-5576	35	22	fractit	fractit	NOUN
ejpam-5576	35	23	is	be	AUX
ejpam-5576	35	24	emphasized	emphasize	VERB
ejpam-5576	35	25	how	how	SCONJ
ejpam-5576	35	26	important	important	ADJ
ejpam-5576	35	27	the	the	DET
ejpam-5576	35	28	mittag	mittag	ADJ
ejpam-5576	35	29	-	-	PUNCT
ejpam-5576	35	30	leffler	leffler	NOUN
ejpam-5576	35	31	function	function	NOUN
ejpam-5576	35	32	is	be	AUX
ejpam-5576	35	33	in	in	ADP
ejpam-5576	35	34	fractional	fractional	ADJ
ejpam-5576	35	35	calculus	calculus	NOUN
ejpam-5576	35	36	,	,	PUNCT
ejpam-5576	35	37	especially	especially	ADV
ejpam-5576	35	38	when	when	SCONJ
ejpam-5576	35	39	looking	look	VERB
ejpam-5576	35	40	at	at	ADP
ejpam-5576	35	41	fractional	fractional	ADJ
ejpam-5576	35	42	systems	system	NOUN
ejpam-5576	35	43	,	,	PUNCT
ejpam-5576	35	44	which	which	PRON
ejpam-5576	35	45	can	can	AUX
ejpam-5576	35	46	give	give	VERB
ejpam-5576	35	47	us	we	PRON
ejpam-5576	35	48	new	new	ADJ
ejpam-5576	35	49	information	information	NOUN
ejpam-5576	35	50	about	about	ADP
ejpam-5576	35	51	how	how	SCONJ
ejpam-5576	35	52	the	the	DET
ejpam-5576	35	53	system	system	NOUN
ejpam-5576	35	54	works[35][32	works[35][32	PROPN
ejpam-5576	35	55	]	]	PUNCT
ejpam-5576	35	56	.	.	PUNCT
ejpam-5576	36	1	this	this	PRON
ejpam-5576	36	2	allows	allow	VERB
ejpam-5576	36	3	us	we	PRON
ejpam-5576	36	4	to	to	PART
ejpam-5576	36	5	examine	examine	VERB
ejpam-5576	36	6	the	the	DET
ejpam-5576	36	7	synchronization	synchronization	NOUN
ejpam-5576	36	8	between	between	ADP
ejpam-5576	36	9	the	the	DET
ejpam-5576	36	10	lorenz	lorenz	PROPN
ejpam-5576	36	11	and	and	CCONJ
ejpam-5576	36	12	liou	liou	ADJ
ejpam-5576	36	13	systems	system	NOUN
ejpam-5576	36	14	in	in	ADP
ejpam-5576	36	15	section	section	NOUN
ejpam-5576	36	16	3	3	NUM
ejpam-5576	36	17	,	,	PUNCT
ejpam-5576	36	18	implying	imply	VERB
ejpam-5576	36	19	that	that	SCONJ
ejpam-5576	36	20	comprehending	comprehend	VERB
ejpam-5576	36	21	these	these	DET
ejpam-5576	36	22	connections	connection	NOUN
ejpam-5576	36	23	could	could	AUX
ejpam-5576	36	24	provide	provide	VERB
ejpam-5576	36	25	valuable	valuable	ADJ
ejpam-5576	36	26	insights	insight	NOUN
ejpam-5576	36	27	into	into	ADP
ejpam-5576	36	28	chaotic	chaotic	ADJ
ejpam-5576	36	29	dynamics	dynamic	NOUN
ejpam-5576	36	30	and	and	CCONJ
ejpam-5576	36	31	their	their	PRON
ejpam-5576	36	32	control	control	NOUN
ejpam-5576	36	33	.	.	PUNCT
ejpam-5576	37	1	this	this	DET
ejpam-5576	37	2	research	research	NOUN
ejpam-5576	37	3	begins	begin	VERB
ejpam-5576	37	4	with	with	ADP
ejpam-5576	37	5	the	the	DET
ejpam-5576	37	6	definitions	definition	NOUN
ejpam-5576	37	7	and	and	CCONJ
ejpam-5576	37	8	properties	property	NOUN
ejpam-5576	37	9	of	of	ADP
ejpam-5576	37	10	the	the	DET
ejpam-5576	37	11	fractional	fractional	ADJ
ejpam-5576	37	12	processes	process	NOUN
ejpam-5576	37	13	used	use	VERB
ejpam-5576	37	14	in	in	ADP
ejpam-5576	37	15	the	the	DET
ejpam-5576	37	16	study	study	NOUN
ejpam-5576	37	17	.	.	PUNCT
ejpam-5576	38	1	the	the	DET
ejpam-5576	38	2	text	text	NOUN
ejpam-5576	38	3	also	also	ADV
ejpam-5576	38	4	mentions	mention	VERB
ejpam-5576	38	5	fractional	fractional	ADJ
ejpam-5576	38	6	hyperchain	hyperchain	NOUN
ejpam-5576	38	7	systems	system	NOUN
ejpam-5576	38	8	(	(	PUNCT
ejpam-5576	38	9	fhcs	fhcs	PROPN
ejpam-5576	38	10	)	)	PUNCT
ejpam-5576	38	11	.	.	PUNCT
ejpam-5576	39	1	the	the	DET
ejpam-5576	39	2	integration	integration	NOUN
ejpam-5576	39	3	of	of	ADP
ejpam-5576	39	4	fractional	fractional	ADJ
ejpam-5576	39	5	calculus	calculus	NOUN
ejpam-5576	39	6	into	into	ADP
ejpam-5576	39	7	fractal	fractal	ADJ
ejpam-5576	39	8	hyperchain	hyperchain	PROPN
ejpam-5576	39	9	systems	system	NOUN
ejpam-5576	39	10	leads	lead	VERB
ejpam-5576	39	11	to	to	ADP
ejpam-5576	39	12	significant	significant	ADJ
ejpam-5576	39	13	advances	advance	NOUN
ejpam-5576	39	14	in	in	ADP
ejpam-5576	39	15	the	the	DET
ejpam-5576	39	16	design	design	NOUN
ejpam-5576	39	17	of	of	ADP
ejpam-5576	39	18	control	control	NOUN
ejpam-5576	39	19	systems	system	NOUN
ejpam-5576	39	20	.	.	PUNCT
ejpam-5576	40	1	by	by	ADP
ejpam-5576	40	2	modeling	model	VERB
ejpam-5576	40	3	system	system	NOUN
ejpam-5576	40	4	dynamics	dynamic	NOUN
ejpam-5576	40	5	more	more	ADV
ejpam-5576	40	6	accurately	accurately	ADV
ejpam-5576	40	7	,	,	PUNCT
ejpam-5576	40	8	enhancing	enhance	VERB
ejpam-5576	40	9	stability	stability	NOUN
ejpam-5576	40	10	and	and	CCONJ
ejpam-5576	40	11	performance	performance	NOUN
ejpam-5576	40	12	,	,	PUNCT
ejpam-5576	40	13	and	and	CCONJ
ejpam-5576	40	14	offering	offer	VERB
ejpam-5576	40	15	greater	great	ADJ
ejpam-5576	40	16	flexibility	flexibility	NOUN
ejpam-5576	40	17	,	,	PUNCT
ejpam-5576	40	18	(	(	PUNCT
ejpam-5576	40	19	fhcs	fhcs	PROPN
ejpam-5576	40	20	)	)	PUNCT
ejpam-5576	40	21	provides	provide	VERB
ejpam-5576	40	22	a	a	DET
ejpam-5576	40	23	powerful	powerful	ADJ
ejpam-5576	40	24	framework	framework	NOUN
ejpam-5576	40	25	for	for	ADP
ejpam-5576	40	26	developing	develop	VERB
ejpam-5576	40	27	advanced	advanced	ADJ
ejpam-5576	40	28	control	control	NOUN
ejpam-5576	40	29	strategies	strategy	NOUN
ejpam-5576	40	30	suitable	suitable	ADJ
ejpam-5576	40	31	for	for	ADP
ejpam-5576	40	32	complex	complex	ADJ
ejpam-5576	40	33	,	,	PUNCT
ejpam-5576	40	34	real	real	ADJ
ejpam-5576	40	35	-	-	PUNCT
ejpam-5576	40	36	world	world	NOUN
ejpam-5576	40	37	applications	application	NOUN
ejpam-5576	40	38	.	.	PUNCT
ejpam-5576	41	1	this	this	PRON
ejpam-5576	41	2	leads	lead	VERB
ejpam-5576	41	3	to	to	ADP
ejpam-5576	41	4	more	more	ADV
ejpam-5576	41	5	effective	effective	ADJ
ejpam-5576	41	6	and	and	CCONJ
ejpam-5576	41	7	efficient	efficient	ADJ
ejpam-5576	41	8	control	control	NOUN
ejpam-5576	41	9	systems	system	NOUN
ejpam-5576	41	10	across	across	ADP
ejpam-5576	41	11	a	a	DET
ejpam-5576	41	12	variety	variety	NOUN
ejpam-5576	41	13	of	of	ADP
ejpam-5576	41	14	engineering	engineering	NOUN
ejpam-5576	41	15	disciplines	discipline	NOUN
ejpam-5576	41	16	.	.	PUNCT
ejpam-5576	42	1	this	this	PRON
ejpam-5576	42	2	benefits	benefit	VERB
ejpam-5576	42	3	diverse	diverse	ADJ
ejpam-5576	42	4	fields	field	NOUN
ejpam-5576	42	5	such	such	ADJ
ejpam-5576	42	6	as	as	ADP
ejpam-5576	42	7	network	network	NOUN
ejpam-5576	42	8	theory	theory	NOUN
ejpam-5576	42	9	,	,	PUNCT
ejpam-5576	42	10	control	control	NOUN
ejpam-5576	42	11	systems	system	NOUN
ejpam-5576	42	12	,	,	PUNCT
ejpam-5576	42	13	signal	signal	ADJ
ejpam-5576	42	14	processing	processing	NOUN
ejpam-5576	42	15	,	,	PUNCT
ejpam-5576	42	16	biology	biology	NOUN
ejpam-5576	42	17	,	,	PUNCT
ejpam-5576	42	18	finance	finance	NOUN
ejpam-5576	42	19	,	,	PUNCT
ejpam-5576	42	20	thermodynamics	thermodynamic	NOUN
ejpam-5576	42	21	,	,	PUNCT
ejpam-5576	42	22	and	and	CCONJ
ejpam-5576	42	23	materials	material	NOUN
ejpam-5576	42	24	science	science	NOUN
ejpam-5576	42	25	.	.	PUNCT
ejpam-5576	43	1	[	[	X
ejpam-5576	43	2	23][40	23][40	NUM
ejpam-5576	43	3	]	]	PUNCT
ejpam-5576	43	4	.	.	PUNCT
ejpam-5576	44	1	in	in	ADP
ejpam-5576	44	2	their	their	PRON
ejpam-5576	44	3	study	study	NOUN
ejpam-5576	44	4	of	of	ADP
ejpam-5576	44	5	stability	stability	NOUN
ejpam-5576	44	6	,	,	PUNCT
ejpam-5576	44	7	the	the	DET
ejpam-5576	44	8	authors	author	NOUN
ejpam-5576	44	9	look	look	VERB
ejpam-5576	44	10	into	into	ADP
ejpam-5576	44	11	how	how	SCONJ
ejpam-5576	44	12	important	important	ADJ
ejpam-5576	44	13	it	it	PRON
ejpam-5576	44	14	is	be	AUX
ejpam-5576	44	15	to	to	PART
ejpam-5576	44	16	set	set	VERB
ejpam-5576	44	17	criteria	criterion	NOUN
ejpam-5576	44	18	for	for	ADP
ejpam-5576	44	19	the	the	DET
ejpam-5576	44	20	presence	presence	NOUN
ejpam-5576	44	21	of	of	ADP
ejpam-5576	44	22	dynamic	dynamic	ADJ
ejpam-5576	44	23	lyapunov	lyapunov	NOUN
ejpam-5576	44	24	functions	function	NOUN
ejpam-5576	44	25	at	at	ADP
ejpam-5576	44	26	stable	stable	ADJ
ejpam-5576	44	27	exponential	exponential	ADJ
ejpam-5576	44	28	equilibrium	equilibrium	NOUN
ejpam-5576	44	29	points	point	NOUN
ejpam-5576	44	30	.	.	PUNCT
ejpam-5576	45	1	the	the	DET
ejpam-5576	45	2	goal	goal	NOUN
ejpam-5576	45	3	is	be	AUX
ejpam-5576	45	4	to	to	PART
ejpam-5576	45	5	determine	determine	VERB
ejpam-5576	45	6	the	the	DET
ejpam-5576	45	7	asymptotic	asymptotic	ADJ
ejpam-5576	45	8	stability	stability	NOUN
ejpam-5576	45	9	of	of	ADP
ejpam-5576	45	10	the	the	DET
ejpam-5576	45	11	systems	system	NOUN
ejpam-5576	45	12	under	under	ADP
ejpam-5576	45	13	investigation.[25	investigation.[25	PROPN
ejpam-5576	45	14	]	]	PUNCT
ejpam-5576	45	15	.	.	PUNCT
ejpam-5576	46	1	t.	t.	PROPN
ejpam-5576	46	2	khalid	khalid	PROPN
ejpam-5576	46	3	/	/	SYM
ejpam-5576	46	4	eur	eur	PROPN
ejpam-5576	46	5	.	.	PUNCT
ejpam-5576	47	1	j.	j.	PROPN
ejpam-5576	47	2	pure	pure	PROPN
ejpam-5576	47	3	appl	appl	PROPN
ejpam-5576	47	4	.	.	PROPN
ejpam-5576	47	5	math	math	PROPN
ejpam-5576	47	6	,	,	PUNCT
ejpam-5576	47	7	18	18	NUM
ejpam-5576	47	8	(	(	PUNCT
ejpam-5576	47	9	1	1	NUM
ejpam-5576	47	10	)	)	PUNCT
ejpam-5576	47	11	(	(	PUNCT
ejpam-5576	47	12	2025	2025	NUM
ejpam-5576	47	13	)	)	PUNCT
ejpam-5576	47	14	,	,	PUNCT
ejpam-5576	47	15	5576	5576	NUM
ejpam-5576	47	16	3	3	NUM
ejpam-5576	47	17	of	of	ADP
ejpam-5576	47	18	16	16	NUM
ejpam-5576	47	19	2	2	NUM
ejpam-5576	47	20	.	.	PUNCT
ejpam-5576	47	21	preliminaries	preliminary	NOUN
ejpam-5576	47	22	this	this	DET
ejpam-5576	47	23	section	section	NOUN
ejpam-5576	47	24	delineates	delineate	VERB
ejpam-5576	47	25	the	the	DET
ejpam-5576	47	26	definitions	definition	NOUN
ejpam-5576	47	27	and	and	CCONJ
ejpam-5576	47	28	characteristics	characteristic	NOUN
ejpam-5576	47	29	of	of	ADP
ejpam-5576	47	30	fractional	fractional	ADJ
ejpam-5576	47	31	operators	operator	NOUN
ejpam-5576	47	32	that	that	PRON
ejpam-5576	47	33	will	will	AUX
ejpam-5576	47	34	be	be	AUX
ejpam-5576	47	35	employed	employ	VERB
ejpam-5576	47	36	in	in	ADP
ejpam-5576	47	37	our	our	PRON
ejpam-5576	47	38	research	research	NOUN
ejpam-5576	47	39	.	.	PUNCT
ejpam-5576	48	1	definition	definition	NOUN
ejpam-5576	48	2	1	1	NUM
ejpam-5576	48	3	.	.	PUNCT
ejpam-5576	49	1	[	[	X
ejpam-5576	49	2	34	34	NUM
ejpam-5576	49	3	]	]	PUNCT
ejpam-5576	49	4	consider	consider	VERB
ejpam-5576	49	5	a	a	DET
ejpam-5576	49	6	set	set	ADJ
ejpam-5576	49	7	l1	l1	PROPN
ejpam-5576	49	8	(	(	PUNCT
ejpam-5576	49	9	r0,+∞	r0,+∞	PROPN
ejpam-5576	49	10	)	)	PUNCT
ejpam-5576	49	11	given	give	VERB
ejpam-5576	49	12	that	that	SCONJ
ejpam-5576	49	13	0α	0α	PROPN
ejpam-5576	49	14	is	be	AUX
ejpam-5576	49	15	less	less	ADJ
ejpam-5576	49	16	than	than	ADP
ejpam-5576	49	17	or	or	CCONJ
ejpam-5576	49	18	equal	equal	ADJ
ejpam-5576	49	19	to	to	ADP
ejpam-5576	49	20	1	1	NUM
ejpam-5576	49	21	.	.	PUNCT
ejpam-5576	50	1	the	the	DET
ejpam-5576	50	2	formal	formal	ADJ
ejpam-5576	50	3	definition	definition	NOUN
ejpam-5576	50	4	of	of	ADP
ejpam-5576	50	5	the	the	DET
ejpam-5576	50	6	riemann	riemann	PROPN
ejpam-5576	50	7	-	-	PUNCT
ejpam-5576	50	8	liouville	liouville	PROPN
ejpam-5576	50	9	(	(	PUNCT
ejpam-5576	50	10	rl	rl	NOUN
ejpam-5576	50	11	)	)	PUNCT
ejpam-5576	50	12	fractional	fractional	ADJ
ejpam-5576	50	13	integral	integral	ADJ
ejpam-5576	50	14	of	of	ADP
ejpam-5576	50	15	function	function	NOUN
ejpam-5576	50	16	f	f	PROPN
ejpam-5576	50	17	is	be	AUX
ejpam-5576	50	18	specified	specify	VERB
ejpam-5576	50	19	as	as	ADP
ejpam-5576	50	20	:	:	PUNCT
ejpam-5576	50	21	rliαr0g(r	rliαr0g(r	NUM
ejpam-5576	50	22	)	)	PUNCT
ejpam-5576	50	23	=	=	SYM
ejpam-5576	50	24	1	1	NUM
ejpam-5576	50	25	γ(α	γ(α	NOUN
ejpam-5576	50	26	)	)	PUNCT
ejpam-5576	51	1	∫	∫	PROPN
ejpam-5576	51	2	r	r	NOUN
ejpam-5576	51	3	r0	r0	NOUN
ejpam-5576	51	4	(	(	PUNCT
ejpam-5576	51	5	r	r	NOUN
ejpam-5576	51	6	−	−	NOUN
ejpam-5576	51	7	x)α−1g(x)dx	x)α−1g(x)dx	NOUN
ejpam-5576	51	8	(	(	PUNCT
ejpam-5576	51	9	1	1	X
ejpam-5576	51	10	)	)	PUNCT
ejpam-5576	51	11	let	let	VERB
ejpam-5576	51	12	γ	γ	X
ejpam-5576	51	13	(	(	PUNCT
ejpam-5576	51	14	·	·	PUNCT
ejpam-5576	51	15	)	)	PUNCT
ejpam-5576	51	16	be	be	VERB
ejpam-5576	51	17	the	the	DET
ejpam-5576	51	18	gamma	gamma	NOUN
ejpam-5576	51	19	function	function	NOUN
ejpam-5576	51	20	.	.	PUNCT
ejpam-5576	52	1	definition	definition	NOUN
ejpam-5576	52	2	2	2	NUM
ejpam-5576	52	3	.	.	PUNCT
ejpam-5576	53	1	[	[	X
ejpam-5576	53	2	45	45	NUM
ejpam-5576	53	3	]	]	PUNCT
ejpam-5576	53	4	consider	consider	VERB
ejpam-5576	53	5	a	a	DET
ejpam-5576	53	6	function	function	NOUN
ejpam-5576	53	7	g	g	NOUN
ejpam-5576	53	8	in	in	ADP
ejpam-5576	53	9	the	the	DET
ejpam-5576	53	10	closed	closed	ADJ
ejpam-5576	53	11	set	set	VERB
ejpam-5576	53	12	h1	h1	NOUN
ejpam-5576	53	13	(	(	PUNCT
ejpam-5576	53	14	r0,+∞	r0,+∞	PROPN
ejpam-5576	53	15	)	)	PUNCT
ejpam-5576	53	16	with	with	ADP
ejpam-5576	53	17	0α	0α	PROPN
ejpam-5576	53	18	≤	≤	NUM
ejpam-5576	53	19	1	1	NUM
ejpam-5576	53	20	.	.	PUNCT
ejpam-5576	54	1	the	the	DET
ejpam-5576	54	2	caputo	caputo	PROPN
ejpam-5576	54	3	(	(	PUNCT
ejpam-5576	54	4	c	c	NOUN
ejpam-5576	54	5	)	)	PUNCT
ejpam-5576	54	6	fractional	fractional	ADJ
ejpam-5576	54	7	derivative	derivative	NOUN
ejpam-5576	54	8	of	of	ADP
ejpam-5576	54	9	the	the	DET
ejpam-5576	54	10	function	function	NOUN
ejpam-5576	54	11	f	f	PROPN
ejpam-5576	54	12	is	be	AUX
ejpam-5576	54	13	defined	define	VERB
ejpam-5576	54	14	as	as	ADP
ejpam-5576	54	15	follows[29	follows[29	NOUN
ejpam-5576	54	16	]	]	NOUN
ejpam-5576	54	17	:	:	PUNCT
ejpam-5576	54	18	cdα	cdα	NOUN
ejpam-5576	54	19	r	r	NOUN
ejpam-5576	54	20	f(t	f(t	PROPN
ejpam-5576	54	21	)	)	PUNCT
ejpam-5576	54	22	=	=	SYM
ejpam-5576	54	23	1	1	NUM
ejpam-5576	54	24	γ(1−	γ(1−	NOUN
ejpam-5576	54	25	α	α	NUM
ejpam-5576	54	26	)	)	PUNCT
ejpam-5576	54	27	∫	∫	PROPN
ejpam-5576	54	28	r	r	NOUN
ejpam-5576	54	29	r0	r0	NOUN
ejpam-5576	54	30	f	f	PROPN
ejpam-5576	54	31	′(x	′(x	PROPN
ejpam-5576	54	32	)	)	PUNCT
ejpam-5576	54	33	(	(	PUNCT
ejpam-5576	55	1	r	r	NOUN
ejpam-5576	55	2	−	−	NOUN
ejpam-5576	55	3	x)α	x)α	SYM
ejpam-5576	55	4	dx	dx	PROPN
ejpam-5576	55	5	(	(	PUNCT
ejpam-5576	55	6	2	2	NUM
ejpam-5576	55	7	)	)	PUNCT
ejpam-5576	55	8	definition	definition	NOUN
ejpam-5576	55	9	3	3	NUM
ejpam-5576	55	10	.	.	PUNCT
ejpam-5576	56	1	[	[	X
ejpam-5576	56	2	39	39	NUM
ejpam-5576	56	3	]	]	PUNCT
ejpam-5576	56	4	let	let	VERB
ejpam-5576	56	5	g	g	PROPN
ejpam-5576	56	6	∈	∈	PROPN
ejpam-5576	56	7	h1	h1	PROPN
ejpam-5576	56	8	(	(	PUNCT
ejpam-5576	56	9	r0,+∞	r0,+∞	PROPN
ejpam-5576	56	10	)	)	PUNCT
ejpam-5576	56	11	and	and	CCONJ
ejpam-5576	56	12	0	0	NUM
ejpam-5576	56	13	<	<	X
ejpam-5576	56	14	α	α	X
ejpam-5576	56	15	≤	≤	NUM
ejpam-5576	56	16	1	1	NUM
ejpam-5576	56	17	.	.	PUNCT
ejpam-5576	57	1	an	an	DET
ejpam-5576	57	2	expression	expression	NOUN
ejpam-5576	57	3	for	for	ADP
ejpam-5576	57	4	the	the	DET
ejpam-5576	57	5	caputo	caputo	PROPN
ejpam-5576	57	6	-	-	PUNCT
ejpam-5576	57	7	fabrizio	fabrizio	PROPN
ejpam-5576	57	8	(	(	PUNCT
ejpam-5576	57	9	cf	cf	NOUN
ejpam-5576	57	10	)	)	PUNCT
ejpam-5576	57	11	fractional	fractional	ADJ
ejpam-5576	57	12	derivative	derivative	NOUN
ejpam-5576	57	13	of	of	ADP
ejpam-5576	57	14	function	function	NOUN
ejpam-5576	57	15	g	g	PROPN
ejpam-5576	57	16	is	be	AUX
ejpam-5576	57	17	given	give	VERB
ejpam-5576	57	18	as[12	as[12	PROPN
ejpam-5576	57	19	]	]	PUNCT
ejpam-5576	57	20	:	:	PUNCT
ejpam-5576	57	21	cfdα	cfdα	PROPN
ejpam-5576	57	22	r	r	PROPN
ejpam-5576	57	23	g(r	g(r	PROPN
ejpam-5576	57	24	)	)	PUNCT
ejpam-5576	57	25	=	=	SYM
ejpam-5576	57	26	1	1	NUM
ejpam-5576	57	27	2	2	NUM
ejpam-5576	57	28	b(α)(2−	b(α)(2−	NOUN
ejpam-5576	57	29	α	α	NOUN
ejpam-5576	57	30	)	)	PUNCT
ejpam-5576	57	31	1−	1−	NUM
ejpam-5576	58	1	α	α	NUM
ejpam-5576	58	2	∫	∫	PROPN
ejpam-5576	58	3	t	t	PROPN
ejpam-5576	58	4	r0	r0	PROPN
ejpam-5576	58	5	f	f	PROPN
ejpam-5576	58	6	′(x	′(x	PROPN
ejpam-5576	58	7	)	)	PUNCT
ejpam-5576	58	8	exp	exp	NOUN
ejpam-5576	58	9	[	[	PUNCT
ejpam-5576	58	10	−	−	PROPN
ejpam-5576	58	11	α	α	NOUN
ejpam-5576	58	12	1−	1−	NUM
ejpam-5576	58	13	α	α	NOUN
ejpam-5576	58	14	(	(	PUNCT
ejpam-5576	58	15	r	r	NOUN
ejpam-5576	58	16	−	−	NOUN
ejpam-5576	58	17	x	x	NOUN
ejpam-5576	58	18	)	)	PUNCT
ejpam-5576	58	19	]	]	PUNCT
ejpam-5576	58	20	dx	dx	PROPN
ejpam-5576	58	21	(	(	PUNCT
ejpam-5576	58	22	3	3	X
ejpam-5576	58	23	)	)	PUNCT
ejpam-5576	58	24	consider	consider	VERB
ejpam-5576	58	25	a	a	DET
ejpam-5576	58	26	normalizing	normalizing	ADJ
ejpam-5576	58	27	function	function	NOUN
ejpam-5576	58	28	b(α	b(α	NOUN
ejpam-5576	58	29	)	)	PUNCT
ejpam-5576	58	30	defined	define	VERB
ejpam-5576	58	31	by	by	ADP
ejpam-5576	58	32	the	the	DET
ejpam-5576	58	33	equation	equation	NOUN
ejpam-5576	58	34	b(0	b(0	NOUN
ejpam-5576	58	35	)	)	PUNCT
ejpam-5576	58	36	=	=	SYM
ejpam-5576	58	37	b(1	b(1	PROPN
ejpam-5576	58	38	)	)	PUNCT
ejpam-5576	58	39	=	=	PUNCT
ejpam-5576	59	1	1	1	X
ejpam-5576	59	2	.	.	PUNCT
ejpam-5576	60	1	the	the	DET
ejpam-5576	60	2	definition	definition	NOUN
ejpam-5576	60	3	of	of	ADP
ejpam-5576	60	4	the	the	DET
ejpam-5576	60	5	fractional	fractional	ADJ
ejpam-5576	60	6	integral	integral	ADJ
ejpam-5576	60	7	associated	associate	VERB
ejpam-5576	60	8	with	with	ADP
ejpam-5576	60	9	the	the	DET
ejpam-5576	60	10	fractional	fractional	ADJ
ejpam-5576	60	11	derivative	derivative	NOUN
ejpam-5576	60	12	of	of	ADP
ejpam-5576	60	13	cf	cf	NOUN
ejpam-5576	60	14	is	be	AUX
ejpam-5576	60	15	provided	provide	VERB
ejpam-5576	60	16	under	under	ADP
ejpam-5576	60	17	cf	cf	NOUN
ejpam-5576	60	18	r	r	NOUN
ejpam-5576	60	19	iαr0g(r	iαr0g(r	NOUN
ejpam-5576	60	20	)	)	PUNCT
ejpam-5576	60	21	=	=	PUNCT
ejpam-5576	61	1	2(1−	2(1−	NUM
ejpam-5576	61	2	α	α	X
ejpam-5576	61	3	)	)	PUNCT
ejpam-5576	61	4	b(α)(2−	b(α)(2−	NOUN
ejpam-5576	61	5	α	α	NOUN
ejpam-5576	61	6	)	)	PUNCT
ejpam-5576	61	7	g(r	g(r	NOUN
ejpam-5576	61	8	)	)	PUNCT
ejpam-5576	62	1	+	+	NUM
ejpam-5576	62	2	2α	2α	NOUN
ejpam-5576	62	3	b(α)(2−	b(α)(2−	NOUN
ejpam-5576	62	4	α	α	NOUN
ejpam-5576	62	5	)	)	PUNCT
ejpam-5576	62	6	rl	rl	ADP
ejpam-5576	62	7	r	r	NOUN
ejpam-5576	62	8	i1r0g(r	i1r0g(r	PROPN
ejpam-5576	62	9	)	)	PUNCT
ejpam-5576	62	10	(	(	PUNCT
ejpam-5576	62	11	4	4	X
ejpam-5576	62	12	)	)	PUNCT
ejpam-5576	62	13	definition	definition	NOUN
ejpam-5576	62	14	4	4	NUM
ejpam-5576	62	15	.	.	PUNCT
ejpam-5576	63	1	[	[	X
ejpam-5576	63	2	37]consider	37]consider	NUM
ejpam-5576	63	3	a	a	DET
ejpam-5576	63	4	function	function	NOUN
ejpam-5576	63	5	g	g	NOUN
ejpam-5576	63	6	in	in	ADP
ejpam-5576	63	7	the	the	DET
ejpam-5576	63	8	closed	closed	ADJ
ejpam-5576	63	9	set	set	ADJ
ejpam-5576	63	10	h1	h1	NOUN
ejpam-5576	63	11	(	(	PUNCT
ejpam-5576	63	12	t0,+∞	t0,+∞	PROPN
ejpam-5576	63	13	)	)	PUNCT
ejpam-5576	63	14	with	with	ADP
ejpam-5576	63	15	0α	0α	PROPN
ejpam-5576	63	16	≤	≤	NUM
ejpam-5576	63	17	1.the	1.the	DET
ejpam-5576	63	18	fractional	fractional	ADJ
ejpam-5576	63	19	derivative	derivative	NOUN
ejpam-5576	63	20	of	of	ADP
ejpam-5576	63	21	function	function	NOUN
ejpam-5576	63	22	f	f	PROPN
ejpam-5576	63	23	according	accord	VERB
ejpam-5576	63	24	to	to	ADP
ejpam-5576	63	25	the	the	DET
ejpam-5576	63	26	atangana	atangana	PROPN
ejpam-5576	63	27	-	-	PUNCT
ejpam-5576	63	28	baleanu	baleanu	PROPN
ejpam-5576	63	29	-	-	PUNCT
ejpam-5576	63	30	caputo	caputo	PROPN
ejpam-5576	63	31	(	(	PUNCT
ejpam-5576	63	32	abc	abc	PROPN
ejpam-5576	63	33	)	)	PUNCT
ejpam-5576	63	34	method	method	NOUN
ejpam-5576	63	35	is	be	AUX
ejpam-5576	63	36	expressed	express	VERB
ejpam-5576	63	37	as	as	ADP
ejpam-5576	63	38	:	:	PUNCT
ejpam-5576	63	39	abc	abc	PROPN
ejpam-5576	63	40	r0	r0	VERB
ejpam-5576	63	41	dα	dα	PRON
ejpam-5576	63	42	r	r	PROPN
ejpam-5576	63	43	g(r	g(r	PROPN
ejpam-5576	63	44	)	)	PUNCT
ejpam-5576	63	45	=	=	SYM
ejpam-5576	63	46	b(α	b(α	PROPN
ejpam-5576	63	47	)	)	PUNCT
ejpam-5576	63	48	1−	1−	NUM
ejpam-5576	64	1	α	α	NUM
ejpam-5576	64	2	∫	∫	NOUN
ejpam-5576	64	3	r	r	NOUN
ejpam-5576	64	4	r0	r0	NOUN
ejpam-5576	64	5	g′(x)eα	g′(x)eα	PROPN
ejpam-5576	64	6	[	[	PUNCT
ejpam-5576	64	7	−	−	PROPN
ejpam-5576	64	8	α	α	NOUN
ejpam-5576	64	9	1−	1−	NUM
ejpam-5576	64	10	α	α	NOUN
ejpam-5576	64	11	(	(	PUNCT
ejpam-5576	64	12	r	r	NOUN
ejpam-5576	64	13	−	−	PROPN
ejpam-5576	64	14	x)α	x)α	PUNCT
ejpam-5576	64	15	]	]	PUNCT
ejpam-5576	64	16	dx	dx	PROPN
ejpam-5576	64	17	(	(	PUNCT
ejpam-5576	64	18	5	5	NUM
ejpam-5576	64	19	)	)	PUNCT
ejpam-5576	64	20	a	a	DET
ejpam-5576	64	21	precise	precise	ADJ
ejpam-5576	64	22	specification	specification	NOUN
ejpam-5576	64	23	of	of	ADP
ejpam-5576	64	24	the	the	DET
ejpam-5576	64	25	fractional	fractional	ADJ
ejpam-5576	64	26	integral	integral	NOUN
ejpam-5576	64	27	that	that	PRON
ejpam-5576	64	28	regulates	regulate	VERB
ejpam-5576	64	29	the	the	DET
ejpam-5576	64	30	abc	abc	PROPN
ejpam-5576	64	31	fractional	fractional	PROPN
ejpam-5576	64	32	derivative	derivative	NOUN
ejpam-5576	64	33	is	be	AUX
ejpam-5576	64	34	presented	present	VERB
ejpam-5576	64	35	.	.	PUNCT
ejpam-5576	65	1	ab	ab	PROPN
ejpam-5576	65	2	r	r	PROPN
ejpam-5576	65	3	iαr0g(r	iαr0g(r	PROPN
ejpam-5576	65	4	)	)	PUNCT
ejpam-5576	65	5	=	=	SYM
ejpam-5576	65	6	1−	1−	NUM
ejpam-5576	65	7	α	α	PRON
ejpam-5576	65	8	b(α	b(α	NOUN
ejpam-5576	65	9	)	)	PUNCT
ejpam-5576	65	10	f(r	f(r	NOUN
ejpam-5576	65	11	)	)	PUNCT
ejpam-5576	66	1	+	+	CCONJ
ejpam-5576	66	2	α	α	PROPN
ejpam-5576	66	3	b(α	b(α	NOUN
ejpam-5576	66	4	)	)	PUNCT
ejpam-5576	66	5	rl	rl	ADP
ejpam-5576	66	6	t	t	PROPN
ejpam-5576	66	7	iαr0g(r	iαr0g(r	PROPN
ejpam-5576	66	8	)	)	PUNCT
ejpam-5576	66	9	(	(	PUNCT
ejpam-5576	66	10	6	6	X
ejpam-5576	66	11	)	)	PUNCT
ejpam-5576	66	12	definition	definition	NOUN
ejpam-5576	66	13	5	5	NUM
ejpam-5576	66	14	.	.	PUNCT
ejpam-5576	67	1	[	[	X
ejpam-5576	67	2	28	28	NUM
ejpam-5576	67	3	]	]	PUNCT
ejpam-5576	67	4	let	let	VERB
ejpam-5576	67	5	α	α	PRON
ejpam-5576	67	6	be	be	AUX
ejpam-5576	67	7	more	more	ADJ
ejpam-5576	67	8	than	than	ADP
ejpam-5576	67	9	or	or	CCONJ
ejpam-5576	67	10	equal	equal	ADJ
ejpam-5576	67	11	to	to	ADP
ejpam-5576	67	12	zero	zero	NUM
ejpam-5576	67	13	.	.	PUNCT
ejpam-5576	68	1	a	a	DET
ejpam-5576	68	2	mittag	mittag	ADJ
ejpam-5576	68	3	-	-	PUNCT
ejpam-5576	68	4	leffler	leffler	NOUN
ejpam-5576	68	5	function	function	NOUN
ejpam-5576	68	6	is	be	AUX
ejpam-5576	68	7	defined	define	VERB
ejpam-5576	68	8	using	use	VERB
ejpam-5576	68	9	two	two	NUM
ejpam-5576	68	10	parameters	parameter	NOUN
ejpam-5576	68	11	,	,	PUNCT
ejpam-5576	68	12	denoted	denote	VERB
ejpam-5576	68	13	as	as	ADP
ejpam-5576	68	14	α	α	NOUN
ejpam-5576	68	15	and	and	CCONJ
ejpam-5576	68	16	β[13	β[13	PROPN
ejpam-5576	68	17	]	]	PUNCT
ejpam-5576	68	18	.	.	PUNCT
ejpam-5576	69	1	eα	eα	PROPN
ejpam-5576	69	2	,	,	PUNCT
ejpam-5576	69	3	β(z	β(z	PROPN
ejpam-5576	69	4	)	)	PUNCT
ejpam-5576	69	5	=	=	PROPN
ejpam-5576	70	1	∞∑	∞∑	NUM
ejpam-5576	70	2	j=0	j=0	PROPN
ejpam-5576	70	3	zj	zj	PROPN
ejpam-5576	70	4	γ(αj	γ(αj	PROPN
ejpam-5576	70	5	+	+	CCONJ
ejpam-5576	70	6	β	β	X
ejpam-5576	70	7	)	)	PUNCT
ejpam-5576	70	8	,	,	PUNCT
ejpam-5576	70	9	z	z	NOUN
ejpam-5576	70	10	∈	∈	PROPN
ejpam-5576	70	11	c	c	PROPN
ejpam-5576	70	12	t.	t.	PROPN
ejpam-5576	70	13	khalid	khalid	PROPN
ejpam-5576	70	14	/	/	SYM
ejpam-5576	70	15	eur	eur	PROPN
ejpam-5576	70	16	.	.	PUNCT
ejpam-5576	71	1	j.	j.	PROPN
ejpam-5576	71	2	pure	pure	PROPN
ejpam-5576	71	3	appl	appl	PROPN
ejpam-5576	71	4	.	.	PROPN
ejpam-5576	71	5	math	math	PROPN
ejpam-5576	71	6	,	,	PUNCT
ejpam-5576	71	7	18	18	NUM
ejpam-5576	71	8	(	(	PUNCT
ejpam-5576	71	9	1	1	NUM
ejpam-5576	71	10	)	)	PUNCT
ejpam-5576	71	11	(	(	PUNCT
ejpam-5576	71	12	2025	2025	NUM
ejpam-5576	71	13	)	)	PUNCT
ejpam-5576	71	14	,	,	PUNCT
ejpam-5576	71	15	5576	5576	NUM
ejpam-5576	71	16	4	4	NUM
ejpam-5576	71	17	of	of	ADP
ejpam-5576	71	18	16	16	NUM
ejpam-5576	71	19	remark	remark	NOUN
ejpam-5576	71	20	1	1	NUM
ejpam-5576	71	21	.	.	PUNCT
ejpam-5576	72	1	[	[	X
ejpam-5576	72	2	14	14	NUM
ejpam-5576	72	3	]	]	PUNCT
ejpam-5576	72	4	assuming	assume	VERB
ejpam-5576	72	5	that	that	SCONJ
ejpam-5576	72	6	β	β	NOUN
ejpam-5576	72	7	=	=	SYM
ejpam-5576	72	8	1	1	NUM
ejpam-5576	72	9	,	,	PUNCT
ejpam-5576	72	10	we	we	PRON
ejpam-5576	72	11	may	may	AUX
ejpam-5576	72	12	assert	assert	VERB
ejpam-5576	72	13	assuming	assume	VERB
ejpam-5576	72	14	that	that	SCONJ
ejpam-5576	72	15	β	β	NOUN
ejpam-5576	72	16	=	=	SYM
ejpam-5576	72	17	1	1	NUM
ejpam-5576	72	18	,	,	PUNCT
ejpam-5576	72	19	we	we	PRON
ejpam-5576	72	20	may	may	AUX
ejpam-5576	72	21	assert	assert	VERB
ejpam-5576	72	22	eα,1(z	eα,1(z	PROPN
ejpam-5576	72	23	)	)	PUNCT
ejpam-5576	72	24	=	=	SYM
ejpam-5576	72	25	eα(z	eα(z	X
ejpam-5576	72	26	)	)	PUNCT
ejpam-5576	72	27	=	=	NOUN
ejpam-5576	73	1	∞∑	∞∑	NUM
ejpam-5576	73	2	j=0	j=0	PROPN
ejpam-5576	73	3	zj	zj	PROPN
ejpam-5576	73	4	γ(αj	γ(αj	PROPN
ejpam-5576	73	5	+	+	NOUN
ejpam-5576	73	6	1	1	X
ejpam-5576	73	7	)	)	PUNCT
ejpam-5576	73	8	in	in	ADP
ejpam-5576	73	9	this	this	DET
ejpam-5576	73	10	analysis	analysis	NOUN
ejpam-5576	73	11	,	,	PUNCT
ejpam-5576	73	12	we	we	PRON
ejpam-5576	73	13	examine	examine	VERB
ejpam-5576	73	14	the	the	DET
ejpam-5576	73	15	mittag	mittag	ADJ
ejpam-5576	73	16	-	-	PUNCT
ejpam-5576	73	17	leffler	leffler	NOUN
ejpam-5576	73	18	function	function	NOUN
ejpam-5576	73	19	with	with	ADP
ejpam-5576	73	20	a	a	DET
ejpam-5576	73	21	single	single	ADJ
ejpam-5576	73	22	parameter	parameter	NOUN
ejpam-5576	73	23	α	α	PRON
ejpam-5576	73	24	.	.	PUNCT
ejpam-5576	74	1	provided	provide	VERB
ejpam-5576	74	2	that	that	SCONJ
ejpam-5576	74	3	α	α	NOUN
ejpam-5576	74	4	=	=	X
ejpam-5576	74	5	β	β	X
ejpam-5576	74	6	=	=	SYM
ejpam-5576	74	7	1	1	NUM
ejpam-5576	74	8	,	,	PUNCT
ejpam-5576	74	9	one	one	PRON
ejpam-5576	74	10	may	may	AUX
ejpam-5576	74	11	derive	derive	VERB
ejpam-5576	74	12	e1,1(z	e1,1(z	PROPN
ejpam-5576	74	13	)	)	PUNCT
ejpam-5576	74	14	=	=	PROPN
ejpam-5576	75	1	∞∑	∞∑	NUM
ejpam-5576	75	2	j=0	j=0	PROPN
ejpam-5576	75	3	zj	zj	PROPN
ejpam-5576	75	4	j	j	PROPN
ejpam-5576	75	5	!	!	PUNCT
ejpam-5576	75	6	=	=	SYM
ejpam-5576	75	7	exp(z	exp(z	PROPN
ejpam-5576	75	8	)	)	PUNCT
ejpam-5576	75	9	theorem	theorem	NOUN
ejpam-5576	75	10	1	1	NUM
ejpam-5576	75	11	.	.	PUNCT
ejpam-5576	76	1	[	[	X
ejpam-5576	76	2	41	41	NUM
ejpam-5576	76	3	]	]	PUNCT
ejpam-5576	76	4	a	a	DET
ejpam-5576	76	5	characterization	characterization	NOUN
ejpam-5576	76	6	of	of	ADP
ejpam-5576	76	7	the	the	DET
ejpam-5576	76	8	derivative	derivative	NOUN
ejpam-5576	76	9	of	of	ADP
ejpam-5576	76	10	the	the	DET
ejpam-5576	76	11	mittag	mittag	ADJ
ejpam-5576	76	12	-	-	PUNCT
ejpam-5576	76	13	leffler	leffler	NOUN
ejpam-5576	76	14	function	function	NOUN
ejpam-5576	76	15	is	be	AUX
ejpam-5576	76	16	as	as	SCONJ
ejpam-5576	76	17	follows	follow	VERB
ejpam-5576	76	18	:	:	PUNCT
ejpam-5576	76	19	deα	deα	PROPN
ejpam-5576	76	20	,	,	PUNCT
ejpam-5576	76	21	β	β	X
ejpam-5576	76	22	dz	dz	X
ejpam-5576	76	23	(	(	PUNCT
ejpam-5576	76	24	z	z	NOUN
ejpam-5576	76	25	)	)	PUNCT
ejpam-5576	76	26	=	=	SYM
ejpam-5576	76	27	e2	e2	PROPN
ejpam-5576	76	28	α	α	NUM
ejpam-5576	76	29	,	,	PUNCT
ejpam-5576	76	30	α+β(z	α+β(z	NOUN
ejpam-5576	76	31	)	)	PUNCT
ejpam-5576	76	32	3	3	NUM
ejpam-5576	76	33	.	.	X
ejpam-5576	76	34	stability	stability	NOUN
ejpam-5576	76	35	and	and	CCONJ
ejpam-5576	76	36	the	the	DET
ejpam-5576	76	37	routh	routh	PROPN
ejpam-5576	76	38	-	-	PUNCT
ejpam-5576	76	39	hurwitz	hurwitz	PROPN
ejpam-5576	76	40	criteria	criterion	NOUN
ejpam-5576	76	41	of	of	ADP
ejpam-5576	76	42	fractional	fractional	ADJ
ejpam-5576	76	43	-	-	PUNCT
ejpam-5576	76	44	order	order	NOUN
ejpam-5576	76	45	this	this	DET
ejpam-5576	76	46	section	section	NOUN
ejpam-5576	76	47	presents	present	VERB
ejpam-5576	76	48	a	a	DET
ejpam-5576	76	49	nonlinear	nonlinear	ADJ
ejpam-5576	76	50	fractional	fractional	ADJ
ejpam-5576	76	51	-	-	PUNCT
ejpam-5576	76	52	order	order	NOUN
ejpam-5576	76	53	system	system	NOUN
ejpam-5576	76	54	.	.	PUNCT
ejpam-5576	77	1	this	this	DET
ejpam-5576	77	2	study	study	NOUN
ejpam-5576	77	3	employs	employ	VERB
ejpam-5576	77	4	an	an	DET
ejpam-5576	77	5	enhanced	enhanced	ADJ
ejpam-5576	77	6	direct	direct	ADJ
ejpam-5576	77	7	lyapunov	lyapunov	ADJ
ejpam-5576	77	8	approach	approach	NOUN
ejpam-5576	77	9	using	use	VERB
ejpam-5576	77	10	contemporary	contemporary	ADJ
ejpam-5576	77	11	fractional	fractional	ADJ
ejpam-5576	77	12	derivative	derivative	ADJ
ejpam-5576	77	13	components	component	NOUN
ejpam-5576	77	14	to	to	PART
ejpam-5576	77	15	analyzes	analyze	VERB
ejpam-5576	77	16	the	the	DET
ejpam-5576	77	17	stability	stability	NOUN
ejpam-5576	77	18	of	of	ADP
ejpam-5576	77	19	fractional	fractional	ADJ
ejpam-5576	77	20	-	-	PUNCT
ejpam-5576	77	21	order	order	NOUN
ejpam-5576	77	22	systems	system	NOUN
ejpam-5576	77	23	and	and	CCONJ
ejpam-5576	77	24	the	the	DET
ejpam-5576	77	25	rath	rath	PROPN
ejpam-5576	77	26	-	-	PUNCT
ejpam-5576	77	27	hurtwitz	hurtwitz	PROPN
ejpam-5576	77	28	criterion	criterion	NOUN
ejpam-5576	77	29	for	for	ADP
ejpam-5576	77	30	chaotic	chaotic	ADJ
ejpam-5576	77	31	fractional	fractional	ADJ
ejpam-5576	77	32	-	-	PUNCT
ejpam-5576	77	33	order	order	NOUN
ejpam-5576	77	34	systems	system	NOUN
ejpam-5576	77	35	.	.	PUNCT
ejpam-5576	78	1	the	the	DET
ejpam-5576	78	2	stability	stability	NOUN
ejpam-5576	78	3	of	of	ADP
ejpam-5576	78	4	the	the	DET
ejpam-5576	78	5	hyperbolic	hyperbolic	ADJ
ejpam-5576	78	6	equilibrium	equilibrium	NOUN
ejpam-5576	78	7	point	point	NOUN
ejpam-5576	78	8	in	in	ADP
ejpam-5576	78	9	any	any	DET
ejpam-5576	78	10	dynamical	dynamical	ADJ
ejpam-5576	78	11	system	system	NOUN
ejpam-5576	78	12	with	with	ADP
ejpam-5576	78	13	an	an	DET
ejpam-5576	78	14	integer	integer	NOUN
ejpam-5576	78	15	derivative	derivative	NOUN
ejpam-5576	78	16	is	be	AUX
ejpam-5576	78	17	ascertained	ascertain	VERB
ejpam-5576	78	18	by	by	ADP
ejpam-5576	78	19	the	the	DET
ejpam-5576	78	20	signs	sign	NOUN
ejpam-5576	78	21	of	of	ADP
ejpam-5576	78	22	the	the	DET
ejpam-5576	78	23	real	real	ADJ
ejpam-5576	78	24	parts	part	NOUN
ejpam-5576	78	25	of	of	ADP
ejpam-5576	78	26	the	the	DET
ejpam-5576	78	27	eigenvalues	eigenvalue	NOUN
ejpam-5576	78	28	of	of	ADP
ejpam-5576	78	29	its	its	PRON
ejpam-5576	78	30	jacobian	jacobian	ADJ
ejpam-5576	78	31	matrix[30	matrix[30	NOUN
ejpam-5576	78	32	]	]	PUNCT
ejpam-5576	78	33	.	.	PUNCT
ejpam-5576	79	1	if	if	SCONJ
ejpam-5576	79	2	all	all	DET
ejpam-5576	79	3	eigenvalues	eigenvalue	NOUN
ejpam-5576	79	4	of	of	ADP
ejpam-5576	79	5	the	the	DET
ejpam-5576	79	6	jacobian	jacobian	ADJ
ejpam-5576	79	7	matrix	matrix	NOUN
ejpam-5576	79	8	possess	possess	VERB
ejpam-5576	79	9	negative	negative	ADJ
ejpam-5576	79	10	real	real	ADJ
ejpam-5576	79	11	portions	portion	NOUN
ejpam-5576	79	12	,	,	PUNCT
ejpam-5576	79	13	the	the	DET
ejpam-5576	79	14	hyperbolic	hyperbolic	ADJ
ejpam-5576	79	15	equilibrium	equilibrium	NOUN
ejpam-5576	79	16	point	point	NOUN
ejpam-5576	79	17	is	be	AUX
ejpam-5576	79	18	asymptotically	asymptotically	ADV
ejpam-5576	79	19	stable[11	stable[11	VERB
ejpam-5576	79	20	]	]	PUNCT
ejpam-5576	79	21	.	.	PUNCT
ejpam-5576	80	1	this	this	PRON
ejpam-5576	80	2	is	be	AUX
ejpam-5576	80	3	analogous	analogous	ADJ
ejpam-5576	80	4	to	to	ADP
ejpam-5576	80	5	the	the	DET
ejpam-5576	80	6	routh	routh	PROPN
ejpam-5576	80	7	-	-	PUNCT
ejpam-5576	80	8	hurwitz	hurwitz	PROPN
ejpam-5576	80	9	criteria	criterion	NOUN
ejpam-5576	80	10	for	for	ADP
ejpam-5576	80	11	algebraic	algebraic	ADJ
ejpam-5576	80	12	methods	method	NOUN
ejpam-5576	80	13	.	.	PUNCT
ejpam-5576	81	1	the	the	DET
ejpam-5576	81	2	routh	routh	PROPN
ejpam-5576	81	3	-	-	PUNCT
ejpam-5576	81	4	hurwitz	hurwitz	PROPN
ejpam-5576	81	5	criteria	criterion	NOUN
ejpam-5576	81	6	is	be	AUX
ejpam-5576	81	7	a	a	DET
ejpam-5576	81	8	recognized	recognize	VERB
ejpam-5576	81	9	method	method	NOUN
ejpam-5576	81	10	for	for	ADP
ejpam-5576	81	11	assessing	assess	VERB
ejpam-5576	81	12	the	the	DET
ejpam-5576	81	13	stability	stability	NOUN
ejpam-5576	81	14	of	of	ADP
ejpam-5576	81	15	linear	linear	PROPN
ejpam-5576	81	16	systems	system	NOUN
ejpam-5576	81	17	represented	represent	VERB
ejpam-5576	81	18	as	as	ADP
ejpam-5576	81	19	ẋ	ẋ	PROPN
ejpam-5576	81	20	=	=	PRON
ejpam-5576	81	21	λx(r	λx(r	X
ejpam-5576	81	22	)	)	PUNCT
ejpam-5576	81	23	,	,	PUNCT
ejpam-5576	81	24	where	where	SCONJ
ejpam-5576	81	25	x(r	x(r	PRON
ejpam-5576	81	26	)	)	PUNCT
ejpam-5576	81	27	∈	∈	PROPN
ejpam-5576	81	28	rn	rn	PROPN
ejpam-5576	81	29	and	and	CCONJ
ejpam-5576	81	30	λ	λ	PROPN
ejpam-5576	81	31	is	be	AUX
ejpam-5576	81	32	a	a	DET
ejpam-5576	81	33	n	n	NUM
ejpam-5576	81	34	×	×	NOUN
ejpam-5576	81	35	n	n	CCONJ
ejpam-5576	81	36	real	real	ADJ
ejpam-5576	81	37	matrix	matrix	NOUN
ejpam-5576	81	38	,	,	PUNCT
ejpam-5576	81	39	without	without	ADP
ejpam-5576	81	40	resolving	resolve	VERB
ejpam-5576	81	41	roots	root	NOUN
ejpam-5576	81	42	.	.	PUNCT
ejpam-5576	82	1	this	this	DET
ejpam-5576	82	2	criterion	criterion	NOUN
ejpam-5576	82	3	also	also	ADV
ejpam-5576	82	4	assesses	assess	VERB
ejpam-5576	82	5	stability	stability	NOUN
ejpam-5576	82	6	by	by	ADP
ejpam-5576	82	7	examining	examine	VERB
ejpam-5576	82	8	the	the	DET
ejpam-5576	82	9	system	system	NOUN
ejpam-5576	82	10	’s	’s	PART
ejpam-5576	82	11	characteristic	characteristic	ADJ
ejpam-5576	82	12	equation	equation	NOUN
ejpam-5576	82	13	,	,	PUNCT
ejpam-5576	82	14	which	which	PRON
ejpam-5576	82	15	may	may	AUX
ejpam-5576	82	16	be	be	AUX
ejpam-5576	82	17	expressed	express	VERB
ejpam-5576	82	18	as	as	ADP
ejpam-5576	82	19	p(θ	p(θ	PROPN
ejpam-5576	82	20	)	)	PUNCT
ejpam-5576	82	21	=	=	PUNCT
ejpam-5576	82	22	θn	θn	PROPN
ejpam-5576	82	23	+	+	PROPN
ejpam-5576	82	24	a1θ	a1θ	PROPN
ejpam-5576	82	25	n−1	n−1	PROPN
ejpam-5576	83	1	+	+	CCONJ
ejpam-5576	83	2	a2θ	a2θ	PROPN
ejpam-5576	83	3	n−2	n−2	PROPN
ejpam-5576	83	4	+	+	CCONJ
ejpam-5576	83	5	...	...	PUNCT
ejpam-5576	84	1	+	+	CCONJ
ejpam-5576	84	2	an	an	PRON
ejpam-5576	84	3	=	=	NOUN
ejpam-5576	84	4	0	0	NUM
ejpam-5576	84	5	where	where	SCONJ
ejpam-5576	84	6	all	all	DET
ejpam-5576	84	7	coefficients	coefficient	NOUN
ejpam-5576	84	8	ai	ai	VERB
ejpam-5576	84	9	are	be	AUX
ejpam-5576	84	10	real	real	ADJ
ejpam-5576	84	11	constants	constant	NOUN
ejpam-5576	84	12	.	.	PUNCT
ejpam-5576	85	1	the	the	DET
ejpam-5576	85	2	n	n	PROPN
ejpam-5576	85	3	hurwitz	hurwitz	PROPN
ejpam-5576	85	4	matrices	matrix	NOUN
ejpam-5576	85	5	are	be	AUX
ejpam-5576	85	6	defined	define	VERB
ejpam-5576	85	7	as	as	ADP
ejpam-5576	85	8	m2	m2	PROPN
ejpam-5576	85	9	=	=	PROPN
ejpam-5576	85	10	(	(	PUNCT
ejpam-5576	85	11	a1	a1	NOUN
ejpam-5576	85	12	1	1	NUM
ejpam-5576	85	13	a3	a3	NOUN
ejpam-5576	85	14	a2	a2	PROPN
ejpam-5576	85	15	)	)	PUNCT
ejpam-5576	85	16	,	,	PUNCT
ejpam-5576	85	17	m3	m3	PROPN
ejpam-5576	85	18	=	=	PUNCT
ejpam-5576	86	1			PROPN
ejpam-5576	86	2	a1	a1	NOUN
ejpam-5576	86	3	1	1	NUM
ejpam-5576	86	4	0	0	NUM
ejpam-5576	86	5	a3	a3	NOUN
ejpam-5576	86	6	a2	a2	PROPN
ejpam-5576	86	7	a1	a1	PROPN
ejpam-5576	86	8	a5	a5	PROPN
ejpam-5576	86	9	a4	a4	PROPN
ejpam-5576	86	10	a3	a3	NOUN
ejpam-5576	86	11			PROPN
ejpam-5576	86	12	,	,	PUNCT
ejpam-5576	86	13			ADJ
ejpam-5576	86	14	a1	a1	NOUN
ejpam-5576	86	15	1	1	NUM
ejpam-5576	86	16	0	0	NUM
ejpam-5576	86	17	a3	a3	NOUN
ejpam-5576	86	18	a2	a2	PROPN
ejpam-5576	86	19	a1	a1	PROPN
ejpam-5576	86	20	a5	a5	PROPN
ejpam-5576	86	21	a4	a4	PROPN
ejpam-5576	86	22	a3	a3	NOUN
ejpam-5576	86	23	·	·	PUNCT
ejpam-5576	86	24	·	·	PUNCT
ejpam-5576	86	25	·	·	PUNCT
ejpam-5576	86	26	...	...	PUNCT
ejpam-5576	86	27	.	.	PUNCT
ejpam-5576	86	28	.	.	PUNCT
ejpam-5576	86	29	.	.	PUNCT
ejpam-5576	87	1	...	...	PUNCT
ejpam-5576	87	2	...	...	PUNCT
ejpam-5576	88	1	...	...	PUNCT
ejpam-5576	88	2	0	0	X
ejpam-5576	88	3	.	.	PUNCT
ejpam-5576	88	4	.	.	PUNCT
ejpam-5576	88	5	.	.	PUNCT
ejpam-5576	89	1	0	0	NUM
ejpam-5576	89	2	0	0	NUM
ejpam-5576	90	1			NOUN
ejpam-5576	90	2	when	when	SCONJ
ejpam-5576	90	3	aj	aj	PROPN
ejpam-5576	90	4	=	=	PROPN
ejpam-5576	90	5	0	0	NUM
ejpam-5576	90	6	exceeds	exceed	VERB
ejpam-5576	90	7	n.	n.	VERB
ejpam-5576	90	8	many	many	ADJ
ejpam-5576	90	9	terms	term	NOUN
ejpam-5576	90	10	p	p	X
ejpam-5576	90	11	(	(	PUNCT
ejpam-5576	90	12	θ	θ	NOUN
ejpam-5576	90	13	)	)	PUNCT
ejpam-5576	90	14	possess	possess	VERB
ejpam-5576	90	15	negative	negative	ADJ
ejpam-5576	90	16	real	real	ADJ
ejpam-5576	90	17	portions	portion	NOUN
ejpam-5576	90	18	if	if	SCONJ
ejpam-5576	90	19	and	and	CCONJ
ejpam-5576	90	20	only	only	ADV
ejpam-5576	90	21	if	if	SCONJ
ejpam-5576	90	22	the	the	DET
ejpam-5576	90	23	determinant	determinant	NOUN
ejpam-5576	90	24	of	of	ADP
ejpam-5576	90	25	all	all	DET
ejpam-5576	90	26	horowitz	horowitz	PROPN
ejpam-5576	90	27	matrices	matrix	NOUN
ejpam-5576	90	28	is	be	AUX
ejpam-5576	90	29	positive	positive	ADJ
ejpam-5576	90	30	.	.	PUNCT
ejpam-5576	91	1	consequently	consequently	ADV
ejpam-5576	91	2	,	,	PUNCT
ejpam-5576	91	3	employing	employ	VERB
ejpam-5576	91	4	integer	integer	NOUN
ejpam-5576	91	5	arithmetic	arithmetic	NOUN
ejpam-5576	91	6	,	,	PUNCT
ejpam-5576	91	7	a	a	DET
ejpam-5576	91	8	theoretical	theoretical	ADJ
ejpam-5576	91	9	analysis	analysis	NOUN
ejpam-5576	91	10	is	be	AUX
ejpam-5576	91	11	a	a	DET
ejpam-5576	91	12	crucial	crucial	ADJ
ejpam-5576	91	13	endeavor	endeavor	NOUN
ejpam-5576	91	14	in	in	ADP
ejpam-5576	91	15	fractional	fractional	ADJ
ejpam-5576	91	16	differential	differential	ADJ
ejpam-5576	91	17	computation	computation	NOUN
ejpam-5576	91	18	.	.	PUNCT
ejpam-5576	92	1	t.	t.	PROPN
ejpam-5576	92	2	khalid	khalid	PROPN
ejpam-5576	92	3	/	/	SYM
ejpam-5576	92	4	eur	eur	PROPN
ejpam-5576	92	5	.	.	PUNCT
ejpam-5576	93	1	j.	j.	PROPN
ejpam-5576	93	2	pure	pure	PROPN
ejpam-5576	93	3	appl	appl	PROPN
ejpam-5576	93	4	.	.	PROPN
ejpam-5576	93	5	math	math	PROPN
ejpam-5576	93	6	,	,	PUNCT
ejpam-5576	93	7	18	18	NUM
ejpam-5576	93	8	(	(	PUNCT
ejpam-5576	93	9	1	1	NUM
ejpam-5576	93	10	)	)	PUNCT
ejpam-5576	93	11	(	(	PUNCT
ejpam-5576	93	12	2025	2025	NUM
ejpam-5576	93	13	)	)	PUNCT
ejpam-5576	93	14	,	,	PUNCT
ejpam-5576	93	15	5576	5576	NUM
ejpam-5576	93	16	5	5	NUM
ejpam-5576	93	17	of	of	ADP
ejpam-5576	93	18	16	16	NUM
ejpam-5576	93	19	matignon	matignon	NOUN
ejpam-5576	93	20	understands	understand	VERB
ejpam-5576	93	21	the	the	DET
ejpam-5576	93	22	subsequent	subsequent	ADJ
ejpam-5576	93	23	fractional	fractional	ADJ
ejpam-5576	93	24	differential	differential	ADJ
ejpam-5576	93	25	equations	equation	NOUN
ejpam-5576	93	26	and	and	CCONJ
ejpam-5576	93	27	formulae	formulae	VERB
ejpam-5576	93	28	when	when	SCONJ
ejpam-5576	93	29	the	the	DET
ejpam-5576	93	30	order	order	NOUN
ejpam-5576	93	31	of	of	ADP
ejpam-5576	93	32	the	the	DET
ejpam-5576	93	33	derivative	derivative	NOUN
ejpam-5576	93	34	lies	lie	VERB
ejpam-5576	93	35	between	between	ADP
ejpam-5576	93	36	0	0	NUM
ejpam-5576	93	37	and	and	CCONJ
ejpam-5576	93	38	1[31	1[31	NUM
ejpam-5576	93	39	]	]	PUNCT
ejpam-5576	93	40	.	.	PUNCT
ejpam-5576	94	1	theorem	theorem	NOUN
ejpam-5576	94	2	2	2	NUM
ejpam-5576	94	3	.	.	PUNCT
ejpam-5576	95	1	[	[	X
ejpam-5576	95	2	25	25	NUM
ejpam-5576	95	3	]	]	PUNCT
ejpam-5576	95	4	the	the	DET
ejpam-5576	95	5	fractional	fractional	ADJ
ejpam-5576	95	6	-	-	PUNCT
ejpam-5576	95	7	order	order	NOUN
ejpam-5576	95	8	nonlinear	nonlinear	ADJ
ejpam-5576	95	9	system	system	NOUN
ejpam-5576	95	10	is	be	AUX
ejpam-5576	95	11	characterised	characterise	VERB
ejpam-5576	95	12	as	as	ADP
ejpam-5576	95	13	0d	0d	X
ejpam-5576	95	14	α	α	PROPN
ejpam-5576	95	15	r	r	NOUN
ejpam-5576	95	16	x(r	x(r	PROPN
ejpam-5576	95	17	)	)	PUNCT
ejpam-5576	96	1	=	=	SYM
ejpam-5576	96	2	g(r	g(r	PROPN
ejpam-5576	96	3	,	,	PUNCT
ejpam-5576	96	4	x(r	x(r	PROPN
ejpam-5576	96	5	)	)	PUNCT
ejpam-5576	96	6	)	)	PUNCT
ejpam-5576	96	7	(	(	PUNCT
ejpam-5576	96	8	7	7	X
ejpam-5576	96	9	)	)	PUNCT
ejpam-5576	96	10	here	here	ADV
ejpam-5576	96	11	g	g	PROPN
ejpam-5576	96	12	=	=	SYM
ejpam-5576	96	13	(	(	PUNCT
ejpam-5576	96	14	g1	g1	PROPN
ejpam-5576	96	15	,	,	PUNCT
ejpam-5576	96	16	g2	g2	PROPN
ejpam-5576	96	17	,	,	PUNCT
ejpam-5576	96	18	...	...	PUNCT
ejpam-5576	96	19	,	,	PUNCT
ejpam-5576	96	20	gn	gn	PROPN
ejpam-5576	96	21	)	)	PUNCT
ejpam-5576	96	22	t	t	PROPN
ejpam-5576	96	23	let	let	VERB
ejpam-5576	96	24	x(r	x(r	PRON
ejpam-5576	96	25	)	)	PUNCT
ejpam-5576	96	26	=	=	SYM
ejpam-5576	97	1	(	(	PUNCT
ejpam-5576	97	2	x1(r	x1(r	NOUN
ejpam-5576	97	3	)	)	PUNCT
ejpam-5576	97	4	,	,	PUNCT
ejpam-5576	97	5	x2(r	x2(r	PROPN
ejpam-5576	97	6	)	)	PUNCT
ejpam-5576	97	7	,	,	PUNCT
ejpam-5576	97	8	.	.	PUNCT
ejpam-5576	97	9	.	.	PUNCT
ejpam-5576	98	1	.	.	PUNCT
ejpam-5576	99	1	,	,	PUNCT
ejpam-5576	99	2	xn(r	xn(r	NUM
ejpam-5576	99	3	)	)	PUNCT
ejpam-5576	99	4	)	)	PUNCT
ejpam-5576	100	1	t	t	PROPN
ejpam-5576	100	2	∈	∈	PROPN
ejpam-5576	100	3	rn	rn	PROPN
ejpam-5576	100	4	with	with	ADP
ejpam-5576	100	5	initial	initial	ADJ
ejpam-5576	100	6	value	value	NOUN
ejpam-5576	100	7	x(0	x(0	PROPN
ejpam-5576	100	8	)	)	PUNCT
ejpam-5576	100	9	=	=	PRON
ejpam-5576	100	10	(	(	PUNCT
ejpam-5576	100	11	b1	b1	NOUN
ejpam-5576	100	12	,	,	PUNCT
ejpam-5576	100	13	b2	b2	NOUN
ejpam-5576	100	14	,	,	PUNCT
ejpam-5576	100	15	.	.	PUNCT
ejpam-5576	100	16	.	.	PUNCT
ejpam-5576	100	17	.	.	PUNCT
ejpam-5576	101	1	,	,	PUNCT
ejpam-5576	101	2	bn	bn	X
ejpam-5576	101	3	)	)	PUNCT
ejpam-5576	101	4	t	t	NOUN
ejpam-5576	101	5	.the	.the	DET
ejpam-5576	101	6	function	function	PROPN
ejpam-5576	101	7	gi(i	gi(i	PUNCT
ejpam-5576	101	8	=	=	SYM
ejpam-5576	102	1	1	1	NUM
ejpam-5576	102	2	,	,	PUNCT
ejpam-5576	102	3	2	2	NUM
ejpam-5576	102	4	,	,	PUNCT
ejpam-5576	102	5	.	.	PUNCT
ejpam-5576	102	6	.	.	PUNCT
ejpam-5576	103	1	.	.	PUNCT
ejpam-5576	104	1	,	,	PUNCT
ejpam-5576	104	2	n	n	CCONJ
ejpam-5576	104	3	)	)	PUNCT
ejpam-5576	104	4	denotes	denote	VERB
ejpam-5576	104	5	continuous	continuous	ADJ
ejpam-5576	104	6	differential	differential	ADJ
ejpam-5576	104	7	nonlinear	nonlinear	ADJ
ejpam-5576	104	8	functions	function	NOUN
ejpam-5576	104	9	,	,	PUNCT
ejpam-5576	104	10	whereas	whereas	SCONJ
ejpam-5576	104	11	α	α	PRON
ejpam-5576	104	12	indicates	indicate	VERB
ejpam-5576	104	13	the	the	DET
ejpam-5576	104	14	fractional	fractional	ADJ
ejpam-5576	104	15	order	order	NOUN
ejpam-5576	104	16	of	of	ADP
ejpam-5576	104	17	the	the	DET
ejpam-5576	104	18	derivative	derivative	NOUN
ejpam-5576	104	19	.	.	PUNCT
ejpam-5576	105	1	the	the	DET
ejpam-5576	105	2	operator	operator	NOUN
ejpam-5576	105	3	0dr	0dr	NOUN
ejpam-5576	105	4	denotes	denote	VERB
ejpam-5576	105	5	the	the	DET
ejpam-5576	105	6	caputo	caputo	PROPN
ejpam-5576	105	7	(	(	PUNCT
ejpam-5576	105	8	or	or	CCONJ
ejpam-5576	105	9	riemann	riemann	PROPN
ejpam-5576	105	10	-	-	PUNCT
ejpam-5576	105	11	liouville	liouville	NOUN
ejpam-5576	105	12	)	)	PUNCT
ejpam-5576	105	13	fractional	fractional	ADJ
ejpam-5576	105	14	-	-	PUNCT
ejpam-5576	105	15	order	order	NOUN
ejpam-5576	105	16	derivative	derivative	ADJ
ejpam-5576	105	17	operator	operator	NOUN
ejpam-5576	105	18	.	.	PUNCT
ejpam-5576	106	1	denotes	denote	VERB
ejpam-5576	106	2	the	the	DET
ejpam-5576	106	3	caputo	caputo	PROPN
ejpam-5576	106	4	(	(	PUNCT
ejpam-5576	106	5	or	or	CCONJ
ejpam-5576	106	6	riemann	riemann	PROPN
ejpam-5576	106	7	-	-	PUNCT
ejpam-5576	106	8	liouville	liouville	NOUN
ejpam-5576	106	9	)	)	PUNCT
ejpam-5576	106	10	derivative	derivative	NOUN
ejpam-5576	106	11	.	.	PUNCT
ejpam-5576	107	1	assuming	assume	VERB
ejpam-5576	107	2	no	no	DET
ejpam-5576	107	3	loss	loss	NOUN
ejpam-5576	107	4	of	of	ADP
ejpam-5576	107	5	generality	generality	NOUN
ejpam-5576	107	6	,	,	PUNCT
ejpam-5576	107	7	let	let	VERB
ejpam-5576	107	8	x∗	x∗	PROPN
ejpam-5576	107	9	=	=	SYM
ejpam-5576	107	10	0	0	PUNCT
ejpam-5576	107	11	be	be	AUX
ejpam-5576	107	12	the	the	DET
ejpam-5576	107	13	equilibrium	equilibrium	NOUN
ejpam-5576	107	14	point	point	NOUN
ejpam-5576	107	15	,	,	PUNCT
ejpam-5576	107	16	and	and	CCONJ
ejpam-5576	107	17	let	let	VERB
ejpam-5576	107	18	x(r	x(r	PRON
ejpam-5576	107	19	)	)	PUNCT
ejpam-5576	107	20	∈	∈	PROPN
ejpam-5576	107	21	rn	rn	PROPN
ejpam-5576	107	22	.	.	PUNCT
ejpam-5576	108	1	there	there	PRON
ejpam-5576	108	2	exists	exist	VERB
ejpam-5576	108	3	a	a	DET
ejpam-5576	108	4	positive	positive	ADJ
ejpam-5576	108	5	definite	definite	ADJ
ejpam-5576	108	6	matrix	matrix	NOUN
ejpam-5576	108	7	p	p	NOUN
ejpam-5576	108	8	that	that	PRON
ejpam-5576	108	9	fulfils	fulfil	VERB
ejpam-5576	108	10	xn(r	xn(r	PRON
ejpam-5576	108	11	)	)	PUNCT
ejpam-5576	108	12	t	t	PROPN
ejpam-5576	108	13	pg(x(r	pg(x(r	PROPN
ejpam-5576	108	14	)	)	PUNCT
ejpam-5576	108	15	)	)	PUNCT
ejpam-5576	108	16	≤	≤	NUM
ejpam-5576	108	17	0	0	NUM
ejpam-5576	109	1	(	(	PUNCT
ejpam-5576	109	2	8)	8)	NUM
ejpam-5576	109	3	then	then	ADV
ejpam-5576	109	4	the	the	DET
ejpam-5576	109	5	origin	origin	NOUN
ejpam-5576	109	6	of	of	ADP
ejpam-5576	109	7	the	the	DET
ejpam-5576	109	8	system	system	NOUN
ejpam-5576	109	9	8is	8is	VERB
ejpam-5576	109	10	asymptotically	asymptotically	ADV
ejpam-5576	109	11	stable	stable	ADJ
ejpam-5576	109	12	.	.	PUNCT
ejpam-5576	110	1	lemma	lemma	PROPN
ejpam-5576	110	2	1	1	NUM
ejpam-5576	110	3	.	.	PUNCT
ejpam-5576	111	1	[	[	X
ejpam-5576	111	2	27]let	27]let	NUM
ejpam-5576	111	3	us	we	PRON
ejpam-5576	111	4	consider	consider	VERB
ejpam-5576	111	5	a	a	DET
ejpam-5576	111	6	real	real	ADV
ejpam-5576	111	7	continuous	continuous	ADJ
ejpam-5576	111	8	and	and	CCONJ
ejpam-5576	111	9	differentiable	differentiable	ADJ
ejpam-5576	111	10	function	function	NOUN
ejpam-5576	111	11	denoted	denote	VERB
ejpam-5576	111	12	as	as	ADP
ejpam-5576	111	13	u(r	u(r	NOUN
ejpam-5576	111	14	)	)	PUNCT
ejpam-5576	111	15	.	.	PUNCT
ejpam-5576	112	1	taking	take	VERB
ejpam-5576	112	2	into	into	ADP
ejpam-5576	112	3	account	account	NOUN
ejpam-5576	112	4	any	any	DET
ejpam-5576	112	5	t	t	PROPN
ejpam-5576	112	6	≥	≥	NOUN
ejpam-5576	112	7	t0	t0	PROPN
ejpam-5576	112	8	and	and	CCONJ
ejpam-5576	112	9	0α	0α	PROPN
ejpam-5576	112	10	≤	≤	ADV
ejpam-5576	112	11	1	1	NUM
ejpam-5576	112	12	,	,	PUNCT
ejpam-5576	112	13	it	it	PRON
ejpam-5576	112	14	is	be	AUX
ejpam-5576	112	15	possible	possible	ADJ
ejpam-5576	112	16	to	to	PART
ejpam-5576	112	17	infer	infer	VERB
ejpam-5576	112	18	the	the	DET
ejpam-5576	112	19	following	following	NOUN
ejpam-5576	112	20	:	:	PUNCT
ejpam-5576	112	21	abc	abc	PROPN
ejpam-5576	112	22	r0	r0	VERB
ejpam-5576	112	23	dα	dα	ADV
ejpam-5576	112	24	r	r	NOUN
ejpam-5576	112	25	(	(	PUNCT
ejpam-5576	112	26	u2(r	u2(r	PROPN
ejpam-5576	112	27	)	)	PUNCT
ejpam-5576	112	28	)	)	PUNCT
ejpam-5576	112	29	≤	≤	NOUN
ejpam-5576	112	30	2u(r)abc	2u(r)abc	NUM
ejpam-5576	112	31	r0	r0	NOUN
ejpam-5576	112	32	dα	dα	NOUN
ejpam-5576	112	33	r	r	PROPN
ejpam-5576	112	34	u(r	u(r	NOUN
ejpam-5576	112	35	)	)	PUNCT
ejpam-5576	112	36	,	,	PUNCT
ejpam-5576	112	37	(	(	PUNCT
ejpam-5576	112	38	9	9	X
ejpam-5576	112	39	)	)	PUNCT
ejpam-5576	112	40	cf	cf	NOUN
ejpam-5576	112	41	r0	r0	NOUN
ejpam-5576	112	42	dα	dα	ADJ
ejpam-5576	112	43	r	r	NOUN
ejpam-5576	112	44	(	(	PUNCT
ejpam-5576	112	45	u2(r	u2(r	PROPN
ejpam-5576	112	46	)	)	PUNCT
ejpam-5576	112	47	)	)	PUNCT
ejpam-5576	112	48	≤	≤	NOUN
ejpam-5576	113	1	2u(r)cf	2u(r)cf	NUM
ejpam-5576	113	2	r0	r0	NOUN
ejpam-5576	113	3	dα	dα	NOUN
ejpam-5576	113	4	t	t	PROPN
ejpam-5576	113	5	u(r	u(r	PROPN
ejpam-5576	113	6	)	)	PUNCT
ejpam-5576	113	7	,	,	PUNCT
ejpam-5576	113	8	(	(	PUNCT
ejpam-5576	113	9	10	10	NUM
ejpam-5576	113	10	)	)	PUNCT
ejpam-5576	113	11	c	c	NOUN
ejpam-5576	113	12	r0d	r0d	NOUN
ejpam-5576	113	13	α	α	NOUN
ejpam-5576	113	14	r	r	NOUN
ejpam-5576	113	15	(	(	PUNCT
ejpam-5576	113	16	u2(r	u2(r	ADJ
ejpam-5576	113	17	)	)	PUNCT
ejpam-5576	113	18	)	)	PUNCT
ejpam-5576	113	19	≤	≤	NUM
ejpam-5576	114	1	2u(r)cr0d	2u(r)cr0d	NUM
ejpam-5576	114	2	α	α	PROPN
ejpam-5576	114	3	t	t	NOUN
ejpam-5576	114	4	u(r	u(r	NOUN
ejpam-5576	114	5	)	)	PUNCT
ejpam-5576	114	6	.	.	PUNCT
ejpam-5576	115	1	(	(	PUNCT
ejpam-5576	115	2	11	11	NUM
ejpam-5576	115	3	)	)	PUNCT
ejpam-5576	115	4	proposition	proposition	NOUN
ejpam-5576	115	5	1.[8	1.[8	NUM
ejpam-5576	115	6	]	]	PUNCT
ejpam-5576	115	7	•	•	NOUN
ejpam-5576	115	8	if	if	SCONJ
ejpam-5576	115	9	m1,m2,m3	m1,m2,m3	ADJ
ejpam-5576	115	10	are	be	AUX
ejpam-5576	115	11	routh	routh	PROPN
ejpam-5576	115	12	–	–	PUNCT
ejpam-5576	115	13	hurwitz	hurwitz	PROPN
ejpam-5576	115	14	determinants	determinant	NOUN
ejpam-5576	115	15	which	which	PRON
ejpam-5576	115	16	are	be	AUX
ejpam-5576	115	17	defined	define	VERB
ejpam-5576	115	18	as	as	SCONJ
ejpam-5576	115	19	follows	follow	VERB
ejpam-5576	115	20	:	:	PUNCT
ejpam-5576	115	21	m1	m1	PROPN
ejpam-5576	115	22	=	=	SYM
ejpam-5576	115	23	n1	n1	PROPN
ejpam-5576	115	24	,	,	PUNCT
ejpam-5576	115	25	m2	m2	PROPN
ejpam-5576	115	26	=	=	PUNCT
ejpam-5576	115	27	n1n2n3	n1n2n3	PROPN
ejpam-5576	115	28	,	,	PUNCT
ejpam-5576	115	29	m3	m3	PROPN
ejpam-5576	115	30	=	=	PROPN
ejpam-5576	115	31	n1n2n−	n1n2n−	X
ejpam-5576	116	1	3n2	3n2	NUM
ejpam-5576	116	2	1n4n	1n4n	ADJ
ejpam-5576	116	3	2	2	NUM
ejpam-5576	116	4	3	3	NUM
ejpam-5576	116	5	•	•	NOUN
ejpam-5576	116	6	if	if	SCONJ
ejpam-5576	116	7	d(p	d(p	PROPN
ejpam-5576	116	8	)	)	PUNCT
ejpam-5576	116	9	>	>	X
ejpam-5576	116	10	0	0	NUM
ejpam-5576	116	11	,	,	PUNCT
ejpam-5576	116	12	n1	n1	PROPN
ejpam-5576	116	13	>	>	X
ejpam-5576	116	14	0	0	PROPN
ejpam-5576	116	15	,	,	PUNCT
ejpam-5576	116	16	n2	n2	NOUN
ejpam-5576	116	17	<	<	X
ejpam-5576	116	18	0	0	PROPN
ejpam-5576	116	19	and	and	CCONJ
ejpam-5576	116	20	α	α	X
ejpam-5576	116	21	>	>	X
ejpam-5576	116	22	2/3	2/3	NUM
ejpam-5576	116	23	then	then	ADV
ejpam-5576	116	24	the	the	DET
ejpam-5576	116	25	equilibrium	equilibrium	NOUN
ejpam-5576	116	26	point	point	NOUN
ejpam-5576	116	27	eis	eis	PROPN
ejpam-5576	116	28	unstable	unstable	ADJ
ejpam-5576	116	29	.	.	PUNCT
ejpam-5576	117	1	•	•	INTJ
ejpam-5576	117	2	if	if	SCONJ
ejpam-5576	117	3	d(p	d(p	PROPN
ejpam-5576	117	4	)	)	PUNCT
ejpam-5576	117	5	<	<	X
ejpam-5576	117	6	0	0	NUM
ejpam-5576	117	7	,	,	PUNCT
ejpam-5576	117	8	n1	n1	PROPN
ejpam-5576	117	9	>	>	X
ejpam-5576	117	10	0	0	PROPN
ejpam-5576	117	11	,	,	PUNCT
ejpam-5576	117	12	n2	n2	NOUN
ejpam-5576	117	13	>	>	X
ejpam-5576	117	14	0	0	PROPN
ejpam-5576	117	15	,	,	PUNCT
ejpam-5576	117	16	n3	n3	NOUN
ejpam-5576	117	17	>	>	X
ejpam-5576	117	18	0	0	PROPN
ejpam-5576	117	19	,	,	PUNCT
ejpam-5576	117	20	n4	n4	PROPN
ejpam-5576	117	21	>	>	X
ejpam-5576	117	22	0	0	PROPN
ejpam-5576	117	23	,	,	PUNCT
ejpam-5576	117	24	and	and	CCONJ
ejpam-5576	117	25	α	α	X
ejpam-5576	117	26	<	<	X
ejpam-5576	117	27	1/3	1/3	NUM
ejpam-5576	117	28	,	,	PUNCT
ejpam-5576	117	29	then	then	ADV
ejpam-5576	117	30	the	the	DET
ejpam-5576	117	31	equilibrium	equilibrium	NOUN
ejpam-5576	117	32	point	point	NOUN
ejpam-5576	117	33	e	e	NOUN
ejpam-5576	117	34	is	be	AUX
ejpam-5576	117	35	locally	locally	ADV
ejpam-5576	117	36	asymptotically	asymptotically	ADV
ejpam-5576	117	37	stable	stable	ADJ
ejpam-5576	117	38	.	.	PUNCT
ejpam-5576	118	1	also	also	ADV
ejpam-5576	118	2	,	,	PUNCT
ejpam-5576	118	3	if	if	SCONJ
ejpam-5576	118	4	d(p	d(p	PROPN
ejpam-5576	118	5	)	)	PUNCT
ejpam-5576	118	6	<	<	X
ejpam-5576	118	7	0	0	NUM
ejpam-5576	118	8	,	,	PUNCT
ejpam-5576	118	9	n1	n1	NOUN
ejpam-5576	118	10	<	<	X
ejpam-5576	118	11	0	0	PROPN
ejpam-5576	118	12	,	,	PUNCT
ejpam-5576	118	13	n2	n2	NOUN
ejpam-5576	118	14	>	>	X
ejpam-5576	118	15	0	0	PROPN
ejpam-5576	118	16	,	,	PUNCT
ejpam-5576	118	17	n3	n3	VERB
ejpam-5576	118	18	<	<	X
ejpam-5576	118	19	0	0	PROPN
ejpam-5576	118	20	,	,	PUNCT
ejpam-5576	118	21	n4	n4	PROPN
ejpam-5576	118	22	>	>	X
ejpam-5576	118	23	0	0	PROPN
ejpam-5576	118	24	,	,	PUNCT
ejpam-5576	118	25	then	then	ADV
ejpam-5576	118	26	the	the	DET
ejpam-5576	118	27	equilibrium	equilibrium	NOUN
ejpam-5576	118	28	point	point	NOUN
ejpam-5576	118	29	ēis	ēis	PROPN
ejpam-5576	118	30	unstable	unstable	ADJ
ejpam-5576	118	31	.	.	PUNCT
ejpam-5576	119	1	•	•	NUM
ejpam-5576	119	2	ifd(p	ifd(p	PROPN
ejpam-5576	119	3	)	)	PUNCT
ejpam-5576	120	1	<	<	X
ejpam-5576	120	2	0	0	NUM
ejpam-5576	120	3	,	,	PUNCT
ejpam-5576	120	4	n1	n1	PROPN
ejpam-5576	120	5	>	>	X
ejpam-5576	120	6	0	0	PROPN
ejpam-5576	120	7	,	,	PUNCT
ejpam-5576	120	8	n2	n2	NOUN
ejpam-5576	120	9	>	>	X
ejpam-5576	120	10	0	0	PROPN
ejpam-5576	120	11	,	,	PUNCT
ejpam-5576	120	12	n3	n3	NOUN
ejpam-5576	120	13	>	>	X
ejpam-5576	120	14	0	0	PROPN
ejpam-5576	120	15	,	,	PUNCT
ejpam-5576	120	16	n4	n4	PROPN
ejpam-5576	120	17	>	>	X
ejpam-5576	120	18	0andn2	0andn2	PUNCT
ejpam-5576	121	1	=	=	PUNCT
ejpam-5576	121	2	n1n4n3	n1n4n3	PROPN
ejpam-5576	121	3	+	+	CCONJ
ejpam-5576	121	4	n3n1	n3n1	PROPN
ejpam-5576	121	5	,	,	PUNCT
ejpam-5576	121	6	then	then	ADV
ejpam-5576	121	7	the	the	DET
ejpam-5576	121	8	equilibrium	equilibrium	NOUN
ejpam-5576	121	9	point	point	NOUN
ejpam-5576	121	10	ēis	ēis	VERB
ejpam-5576	121	11	locally	locally	ADV
ejpam-5576	121	12	asymptotically	asymptotically	ADV
ejpam-5576	121	13	stable	stable	ADJ
ejpam-5576	121	14	,	,	PUNCT
ejpam-5576	121	15	for	for	ADP
ejpam-5576	121	16	allα	allα	PROPN
ejpam-5576	121	17	∈	∈	PROPN
ejpam-5576	121	18	(	(	PUNCT
ejpam-5576	121	19	0	0	NUM
ejpam-5576	121	20	,	,	PUNCT
ejpam-5576	121	21	1	1	NUM
ejpam-5576	121	22	)	)	PUNCT
ejpam-5576	121	23	.	.	PUNCT
ejpam-5576	122	1	•	•	NUM
ejpam-5576	122	2	n4	n4	PROPN
ejpam-5576	122	3	>	>	PUNCT
ejpam-5576	122	4	0is	0is	NOUN
ejpam-5576	123	1	the	the	DET
ejpam-5576	123	2	necessary	necessary	ADJ
ejpam-5576	123	3	condition	condition	NOUN
ejpam-5576	123	4	for	for	ADP
ejpam-5576	123	5	the	the	DET
ejpam-5576	123	6	equilibrium	equilibrium	NOUN
ejpam-5576	123	7	point	point	NOUN
ejpam-5576	123	8	eto	eto	PROPN
ejpam-5576	123	9	be	be	AUX
ejpam-5576	123	10	locally	locally	ADV
ejpam-5576	123	11	asymptotically	asymptotically	ADV
ejpam-5576	123	12	stable	stable	ADJ
ejpam-5576	123	13	.	.	PUNCT
ejpam-5576	124	1	then	then	ADV
ejpam-5576	124	2	forα	forα	VERB
ejpam-5576	124	3	=	=	SYM
ejpam-5576	124	4	1	1	NUM
ejpam-5576	124	5	,	,	PUNCT
ejpam-5576	124	6	the	the	DET
ejpam-5576	124	7	equilibrium	equilibrium	NOUN
ejpam-5576	124	8	pointē	pointē	NOUN
ejpam-5576	124	9	of	of	ADP
ejpam-5576	124	10	system	system	NOUN
ejpam-5576	124	11	11	11	NUM
ejpam-5576	124	12	is	be	AUX
ejpam-5576	124	13	locally	locally	ADV
ejpam-5576	124	14	asymptotically	asymptotically	ADV
ejpam-5576	124	15	stable	stable	ADJ
ejpam-5576	124	16	if	if	SCONJ
ejpam-5576	124	17	and	and	CCONJ
ejpam-5576	124	18	only	only	ADV
ejpam-5576	124	19	if	if	SCONJ
ejpam-5576	124	20	m1	m1	PROPN
ejpam-5576	124	21	>	>	X
ejpam-5576	124	22	0,m2	0,m2	X
ejpam-5576	124	23	>	>	X
ejpam-5576	124	24	0,m3	0,m3	PUNCT
ejpam-5576	125	1	=	=	SYM
ejpam-5576	125	2	0	0	PROPN
ejpam-5576	125	3	,	,	PUNCT
ejpam-5576	125	4	n4	n4	PROPN
ejpam-5576	125	5	>	>	X
ejpam-5576	125	6	0	0	PROPN
ejpam-5576	125	7	.	.	PUNCT
ejpam-5576	126	1	(	(	PUNCT
ejpam-5576	126	2	7	7	X
ejpam-5576	126	3	)	)	PUNCT
ejpam-5576	126	4	moreover	moreover	ADV
ejpam-5576	126	5	,	,	PUNCT
ejpam-5576	126	6	the	the	DET
ejpam-5576	126	7	conditions	condition	NOUN
ejpam-5576	126	8	of	of	ADP
ejpam-5576	126	9	(	(	PUNCT
ejpam-5576	126	10	7	7	X
ejpam-5576	126	11	)	)	PUNCT
ejpam-5576	126	12	are	be	AUX
ejpam-5576	126	13	sufficient	sufficient	ADJ
ejpam-5576	126	14	conditions	condition	NOUN
ejpam-5576	126	15	for	for	SCONJ
ejpam-5576	126	16	the	the	DET
ejpam-5576	126	17	equilibrium	equilibrium	NOUN
ejpam-5576	126	18	pointē	pointē	NOUN
ejpam-5576	126	19	to	to	PART
ejpam-5576	126	20	be	be	AUX
ejpam-5576	126	21	locally	locally	ADV
ejpam-5576	126	22	asymptotically	asymptotically	ADV
ejpam-5576	126	23	stable	stable	ADJ
ejpam-5576	126	24	for	for	ADP
ejpam-5576	126	25	all	all	DET
ejpam-5576	126	26	α	α	PRON
ejpam-5576	126	27	∈	∈	PROPN
ejpam-5576	127	1	[	[	X
ejpam-5576	127	2	0	0	NUM
ejpam-5576	127	3	,	,	PUNCT
ejpam-5576	127	4	1	1	NUM
ejpam-5576	127	5	)	)	PUNCT
ejpam-5576	127	6	.	.	PUNCT
ejpam-5576	128	1	t.	t.	PROPN
ejpam-5576	128	2	khalid	khalid	PROPN
ejpam-5576	128	3	/	/	SYM
ejpam-5576	128	4	eur	eur	PROPN
ejpam-5576	128	5	.	.	PUNCT
ejpam-5576	129	1	j.	j.	PROPN
ejpam-5576	129	2	pure	pure	PROPN
ejpam-5576	129	3	appl	appl	PROPN
ejpam-5576	129	4	.	.	PROPN
ejpam-5576	129	5	math	math	PROPN
ejpam-5576	129	6	,	,	PUNCT
ejpam-5576	129	7	18	18	NUM
ejpam-5576	129	8	(	(	PUNCT
ejpam-5576	129	9	1	1	NUM
ejpam-5576	129	10	)	)	PUNCT
ejpam-5576	129	11	(	(	PUNCT
ejpam-5576	129	12	2025	2025	NUM
ejpam-5576	129	13	)	)	PUNCT
ejpam-5576	129	14	,	,	PUNCT
ejpam-5576	129	15	5576	5576	NUM
ejpam-5576	129	16	6	6	NUM
ejpam-5576	129	17	of	of	ADP
ejpam-5576	129	18	16	16	NUM
ejpam-5576	129	19	4	4	NUM
ejpam-5576	129	20	.	.	PUNCT
ejpam-5576	129	21	simulation	simulation	NOUN
ejpam-5576	129	22	and	and	CCONJ
ejpam-5576	129	23	analysis	analysis	NOUN
ejpam-5576	129	24	this	this	DET
ejpam-5576	129	25	section	section	NOUN
ejpam-5576	129	26	analyzes	analyze	VERB
ejpam-5576	129	27	the	the	DET
ejpam-5576	129	28	synchronization	synchronization	NOUN
ejpam-5576	129	29	between	between	ADP
ejpam-5576	129	30	the	the	DET
ejpam-5576	129	31	lorenz	lorenz	PROPN
ejpam-5576	129	32	and	and	CCONJ
ejpam-5576	129	33	liu	liu	PROPN
ejpam-5576	129	34	systems	systems	PROPN
ejpam-5576	129	35	,	,	PUNCT
ejpam-5576	129	36	identifying	identify	VERB
ejpam-5576	129	37	the	the	DET
ejpam-5576	129	38	lorenz	lorenz	PROPN
ejpam-5576	129	39	system	system	NOUN
ejpam-5576	129	40	as	as	ADP
ejpam-5576	129	41	the	the	DET
ejpam-5576	129	42	main	main	ADJ
ejpam-5576	129	43	system	system	NOUN
ejpam-5576	129	44	and	and	CCONJ
ejpam-5576	129	45	the	the	DET
ejpam-5576	129	46	liu	liu	PROPN
ejpam-5576	129	47	system	system	NOUN
ejpam-5576	129	48	as	as	ADP
ejpam-5576	129	49	the	the	DET
ejpam-5576	129	50	responsive	responsive	ADJ
ejpam-5576	129	51	system	system	NOUN
ejpam-5576	129	52	.	.	PUNCT
ejpam-5576	130	1	it	it	PRON
ejpam-5576	130	2	incorporates	incorporate	VERB
ejpam-5576	130	3	the	the	DET
ejpam-5576	130	4	proposed	propose	VERB
ejpam-5576	130	5	unified	unified	ADJ
ejpam-5576	130	6	system	system	NOUN
ejpam-5576	130	7	by	by	ADP
ejpam-5576	130	8	lu	lu	PROPN
ejpam-5576	130	9	et	et	PROPN
ejpam-5576	130	10	al	al	PROPN
ejpam-5576	130	11	.	.	PROPN
ejpam-5576	130	12	into	into	ADP
ejpam-5576	130	13	the	the	DET
ejpam-5576	130	14	lorenz	lorenz	PROPN
ejpam-5576	130	15	,	,	PUNCT
ejpam-5576	130	16	chen	chen	PROPN
ejpam-5576	130	17	,	,	PUNCT
ejpam-5576	130	18	and	and	CCONJ
ejpam-5576	130	19	liu	liu	PROPN
ejpam-5576	130	20	systems	system	NOUN
ejpam-5576	130	21	,	,	PUNCT
ejpam-5576	130	22	offering	offer	VERB
ejpam-5576	130	23	a	a	DET
ejpam-5576	130	24	thorough	thorough	ADJ
ejpam-5576	130	25	analytical	analytical	ADJ
ejpam-5576	130	26	framework	framework	NOUN
ejpam-5576	130	27	.	.	PUNCT
ejpam-5576	131	1	by	by	ADP
ejpam-5576	131	2	examining	examine	VERB
ejpam-5576	131	3	the	the	DET
ejpam-5576	131	4	extensive	extensive	ADJ
ejpam-5576	131	5	equations	equation	NOUN
ejpam-5576	131	6	of	of	ADP
ejpam-5576	131	7	the	the	DET
ejpam-5576	131	8	unified	unify	VERB
ejpam-5576	131	9	fractional	fractional	ADJ
ejpam-5576	131	10	degree	degree	NOUN
ejpam-5576	131	11	system,[5	system,[5	X
ejpam-5576	131	12	]	]	X
ejpam-5576	131	13	.	.	PUNCT
ejpam-5576	132	1	4.1	4.1	NUM
ejpam-5576	132	2	.	.	PUNCT
ejpam-5576	132	3	stabilization	stabilization	NOUN
ejpam-5576	132	4	of	of	ADP
ejpam-5576	132	5	unified	unified	ADJ
ejpam-5576	132	6	chaotic	chaotic	ADJ
ejpam-5576	132	7	system	system	NOUN
ejpam-5576	132	8	in	in	ADP
ejpam-5576	132	9	2002	2002	NUM
ejpam-5576	132	10	,	,	PUNCT
ejpam-5576	132	11	lü	lü	PUNCT
ejpam-5576	132	12	et	et	PROPN
ejpam-5576	132	13	al	al	PROPN
ejpam-5576	132	14	.	.	PROPN
ejpam-5576	132	15	introduced	introduce	VERB
ejpam-5576	132	16	the	the	DET
ejpam-5576	132	17	unified	unified	ADJ
ejpam-5576	132	18	system	system	NOUN
ejpam-5576	132	19	10	10	NUM
ejpam-5576	132	20	,	,	PUNCT
ejpam-5576	132	21	which	which	PRON
ejpam-5576	132	22	integrates	integrate	VERB
ejpam-5576	132	23	the	the	DET
ejpam-5576	132	24	chen	chen	PROPN
ejpam-5576	132	25	,	,	PUNCT
ejpam-5576	132	26	lü	lü	X
ejpam-5576	132	27	,	,	PUNCT
ejpam-5576	132	28	and	and	CCONJ
ejpam-5576	132	29	lorenz	lorenz	PROPN
ejpam-5576	132	30	systems	system	NOUN
ejpam-5576	132	31	.	.	PUNCT
ejpam-5576	133	1	the	the	DET
ejpam-5576	133	2	fractional	fractional	ADJ
ejpam-5576	133	3	representation	representation	NOUN
ejpam-5576	133	4	is	be	AUX
ejpam-5576	133	5	specified	specify	VERB
ejpam-5576	133	6	as	as	SCONJ
ejpam-5576	133	7	follows	follow	VERB
ejpam-5576	133	8	.	.	PUNCT
ejpam-5576	134	1	chen	chen	PROPN
ejpam-5576	134	2	and	and	CCONJ
ejpam-5576	134	3	ueta	ueta	PROPN
ejpam-5576	134	4	discovered	discover	VERB
ejpam-5576	134	5	a	a	DET
ejpam-5576	134	6	similar	similar	ADJ
ejpam-5576	134	7	yet	yet	ADV
ejpam-5576	134	8	separate	separate	ADJ
ejpam-5576	134	9	chaotic	chaotic	ADJ
ejpam-5576	134	10	attractor	attractor	NOUN
ejpam-5576	134	11	,	,	PUNCT
ejpam-5576	134	12	identified	identify	VERB
ejpam-5576	134	13	as	as	ADP
ejpam-5576	134	14	the	the	DET
ejpam-5576	134	15	counterpart	counterpart	NOUN
ejpam-5576	134	16	of	of	ADP
ejpam-5576	134	17	the	the	DET
ejpam-5576	134	18	lorenz	lorenz	PROPN
ejpam-5576	134	19	system	system	NOUN
ejpam-5576	134	20	.	.	PUNCT
ejpam-5576	135	1	recently	recently	ADV
ejpam-5576	135	2	,	,	PUNCT
ejpam-5576	135	3	the	the	DET
ejpam-5576	135	4	l¨u	l¨u	ADJ
ejpam-5576	135	5	system	system	NOUN
ejpam-5576	135	6	was	be	AUX
ejpam-5576	135	7	formulated	formulate	VERB
ejpam-5576	135	8	,	,	PUNCT
ejpam-5576	135	9	establishing	establish	VERB
ejpam-5576	135	10	a	a	DET
ejpam-5576	135	11	connection	connection	NOUN
ejpam-5576	135	12	between	between	ADP
ejpam-5576	135	13	the	the	DET
ejpam-5576	135	14	lorenz	lorenz	PROPN
ejpam-5576	135	15	system	system	NOUN
ejpam-5576	135	16	and	and	CCONJ
ejpam-5576	135	17	the	the	DET
ejpam-5576	135	18	chen	chen	PROPN
ejpam-5576	135	19	system	system	PROPN
ejpam-5576	135	20	.	.	PUNCT
ejpam-5576	136	1	lü	lü	PUNCT
ejpam-5576	136	2	et	et	PROPN
ejpam-5576	136	3	al	al	PROPN
ejpam-5576	136	4	.	.	PROPN
ejpam-5576	136	5	have	have	AUX
ejpam-5576	136	6	recently	recently	ADV
ejpam-5576	136	7	created	create	VERB
ejpam-5576	136	8	a	a	DET
ejpam-5576	136	9	unified	unified	ADJ
ejpam-5576	136	10	chaotic	chaotic	ADJ
ejpam-5576	136	11	system	system	NOUN
ejpam-5576	136	12	that	that	PRON
ejpam-5576	136	13	includes	include	VERB
ejpam-5576	136	14	the	the	DET
ejpam-5576	136	15	lorenz	lorenz	PROPN
ejpam-5576	136	16	and	and	CCONJ
ejpam-5576	136	17	chen	chen	PROPN
ejpam-5576	136	18	systems	system	NOUN
ejpam-5576	136	19	as	as	ADP
ejpam-5576	136	20	two	two	NUM
ejpam-5576	136	21	dual	dual	ADJ
ejpam-5576	136	22	systems	system	NOUN
ejpam-5576	136	23	at	at	ADP
ejpam-5576	136	24	the	the	DET
ejpam-5576	136	25	boundaries	boundary	NOUN
ejpam-5576	136	26	of	of	ADP
ejpam-5576	136	27	its	its	PRON
ejpam-5576	136	28	parameter	parameter	NOUN
ejpam-5576	136	29	range	range	NOUN
ejpam-5576	136	30	.	.	PUNCT
ejpam-5576	137	1	the	the	DET
ejpam-5576	137	2	written	write	VERB
ejpam-5576	137	3	workthe	workthe	ADJ
ejpam-5576	137	4	system	system	NOUN
ejpam-5576	137	5	illustrates	illustrate	VERB
ejpam-5576	137	6	the	the	DET
ejpam-5576	137	7	continuous	continuous	ADJ
ejpam-5576	137	8	shift	shift	NOUN
ejpam-5576	137	9	from	from	ADP
ejpam-5576	137	10	the	the	DET
ejpam-5576	137	11	lorenz	lorenz	PROPN
ejpam-5576	137	12	system	system	NOUN
ejpam-5576	137	13	to	to	ADP
ejpam-5576	137	14	the	the	DET
ejpam-5576	137	15	chen	chen	PROPN
ejpam-5576	137	16	system	system	NOUN
ejpam-5576	137	17	and	and	CCONJ
ejpam-5576	137	18	demonstrates	demonstrate	VERB
ejpam-5576	137	19	chaotic	chaotic	ADJ
ejpam-5576	137	20	behavior	behavior	NOUN
ejpam-5576	137	21	throughout	throughout	ADP
ejpam-5576	137	22	the	the	DET
ejpam-5576	137	23	spectrum	spectrum	NOUN
ejpam-5576	137	24	of	of	ADP
ejpam-5576	137	25	the	the	DET
ejpam-5576	137	26	crucial	crucial	ADJ
ejpam-5576	137	27	system	system	NOUN
ejpam-5576	137	28	parameter[26	parameter[26	NOUN
ejpam-5576	137	29	]	]	PUNCT
ejpam-5576	137	30	.	.	PUNCT
ejpam-5576	138	1	the	the	DET
ejpam-5576	138	2	fractionalorder	fractionalorder	PROPN
ejpam-5576	138	3	unified	unified	ADJ
ejpam-5576	138	4	chaotic	chaotic	ADJ
ejpam-5576	138	5	system	system	NOUN
ejpam-5576	138	6	is	be	AUX
ejpam-5576	138	7	a	a	DET
ejpam-5576	138	8	member	member	NOUN
ejpam-5576	138	9	of	of	ADP
ejpam-5576	138	10	the	the	DET
ejpam-5576	138	11	fractional	fractional	ADJ
ejpam-5576	138	12	-	-	PUNCT
ejpam-5576	138	13	order	order	NOUN
ejpam-5576	138	14	lorenz	lorenz	PROPN
ejpam-5576	138	15	chaotic	chaotic	ADJ
ejpam-5576	138	16	system	system	NOUN
ejpam-5576	138	17	family.the	family.the	DET
ejpam-5576	138	18	administration	administration	NOUN
ejpam-5576	138	19	of	of	ADP
ejpam-5576	138	20	various	various	ADJ
ejpam-5576	138	21	chaotic	chaotic	ADJ
ejpam-5576	138	22	attractors	attractor	NOUN
ejpam-5576	138	23	within	within	ADP
ejpam-5576	138	24	lorenz	lorenz	PROPN
ejpam-5576	138	25	system	system	NOUN
ejpam-5576	138	26	families	family	NOUN
ejpam-5576	138	27	is	be	AUX
ejpam-5576	138	28	enhanced	enhance	VERB
ejpam-5576	138	29	by	by	ADP
ejpam-5576	138	30	the	the	DET
ejpam-5576	138	31	use	use	NOUN
ejpam-5576	138	32	of	of	ADP
ejpam-5576	138	33	a	a	DET
ejpam-5576	138	34	fractional	fractional	ADJ
ejpam-5576	138	35	order	order	NOUN
ejpam-5576	138	36	unified	unify	VERB
ejpam-5576	138	37	chaotic	chaotic	ADJ
ejpam-5576	138	38	system	system	NOUN
ejpam-5576	138	39	.	.	PUNCT
ejpam-5576	139	1	the	the	DET
ejpam-5576	139	2	fractional	fractional	ADJ
ejpam-5576	139	3	order	order	NOUN
ejpam-5576	139	4	unified	unify	VERB
ejpam-5576	139	5	chaotic	chaotic	ADJ
ejpam-5576	139	6	system	system	NOUN
ejpam-5576	139	7	is	be	AUX
ejpam-5576	139	8	described	describe	VERB
ejpam-5576	139	9	as	as	SCONJ
ejpam-5576	139	10	follows	follow	VERB
ejpam-5576	139	11	:	:	PUNCT
ejpam-5576	139	12	0d	0d	X
ejpam-5576	139	13	α	α	NOUN
ejpam-5576	140	1	r	r	NOUN
ejpam-5576	140	2	x1	x1	PROPN
ejpam-5576	140	3	=	=	SYM
ejpam-5576	140	4	(	(	PUNCT
ejpam-5576	140	5	25ϑ+	25ϑ+	NUM
ejpam-5576	140	6	10	10	NUM
ejpam-5576	140	7	)	)	PUNCT
ejpam-5576	140	8	(	(	PUNCT
ejpam-5576	140	9	x2	x2	NOUN
ejpam-5576	140	10	−	−	PROPN
ejpam-5576	140	11	x1	x1	PROPN
ejpam-5576	140	12	)	)	PUNCT
ejpam-5576	140	13	,	,	PUNCT
ejpam-5576	140	14	0d	0d	X
ejpam-5576	141	1	α	α	NOUN
ejpam-5576	141	2	r	r	NOUN
ejpam-5576	141	3	x2	x2	NOUN
ejpam-5576	141	4	=	=	PUNCT
ejpam-5576	141	5	(	(	PUNCT
ejpam-5576	141	6	28−	28−	NUM
ejpam-5576	141	7	35ϑ)x1	35ϑ)x1	NUM
ejpam-5576	141	8	+	+	CCONJ
ejpam-5576	141	9	(	(	PUNCT
ejpam-5576	142	1	29ϑ−	29ϑ−	NUM
ejpam-5576	142	2	1)x2	1)x2	NUM
ejpam-5576	142	3	−	−	NOUN
ejpam-5576	142	4	x1x3	x1x3	X
ejpam-5576	142	5	,	,	PUNCT
ejpam-5576	142	6	0d	0d	X
ejpam-5576	142	7	α	α	NOUN
ejpam-5576	142	8	r	r	NOUN
ejpam-5576	142	9	x3	x3	NOUN
ejpam-5576	142	10	=	=	SYM
ejpam-5576	142	11	x1x2	x1x2	PUNCT
ejpam-5576	142	12	−	−	PROPN
ejpam-5576	142	13	(	(	PUNCT
ejpam-5576	142	14	ϑ+	ϑ+	NOUN
ejpam-5576	142	15	8)/3x3	8)/3x3	NUM
ejpam-5576	142	16	,	,	PUNCT
ejpam-5576	142	17	(	(	PUNCT
ejpam-5576	142	18	12	12	NUM
ejpam-5576	142	19	)	)	PUNCT
ejpam-5576	142	20	in	in	ADP
ejpam-5576	142	21	this	this	DET
ejpam-5576	142	22	context	context	NOUN
ejpam-5576	142	23	,	,	PUNCT
ejpam-5576	142	24	ϑ	ϑ	PROPN
ejpam-5576	142	25	belongs	belong	VERB
ejpam-5576	142	26	to	to	ADP
ejpam-5576	142	27	the	the	DET
ejpam-5576	142	28	set	set	NOUN
ejpam-5576	142	29	of	of	ADP
ejpam-5576	142	30	real	real	ADJ
ejpam-5576	142	31	numbers	number	NOUN
ejpam-5576	142	32	,	,	PUNCT
ejpam-5576	142	33	and	and	CCONJ
ejpam-5576	142	34	0	0	NUM
ejpam-5576	142	35	<	<	X
ejpam-5576	142	36	α	α	X
ejpam-5576	142	37	<	<	X
ejpam-5576	142	38	1	1	NUM
ejpam-5576	142	39	.	.	PUNCT
ejpam-5576	143	1	the	the	DET
ejpam-5576	143	2	system	system	NOUN
ejpam-5576	143	3	is	be	AUX
ejpam-5576	143	4	referred	refer	VERB
ejpam-5576	143	5	to	to	ADP
ejpam-5576	143	6	as	as	ADP
ejpam-5576	143	7	the	the	DET
ejpam-5576	143	8	lorenz	lorenz	PROPN
ejpam-5576	143	9	system	system	NOUN
ejpam-5576	143	10	when	when	SCONJ
ejpam-5576	143	11	ϑ	ϑ	X
ejpam-5576	143	12	=	=	NOUN
ejpam-5576	143	13	0	0	X
ejpam-5576	144	1	and	and	CCONJ
ejpam-5576	144	2	as	as	ADP
ejpam-5576	144	3	the	the	DET
ejpam-5576	144	4	chen	chen	PROPN
ejpam-5576	144	5	system	system	PROPN
ejpam-5576	144	6	when	when	SCONJ
ejpam-5576	144	7	ϑ	ϑ	X
ejpam-5576	144	8	=	=	SYM
ejpam-5576	144	9	t.	t.	PROPN
ejpam-5576	144	10	khalid	khalid	PROPN
ejpam-5576	144	11	/	/	SYM
ejpam-5576	144	12	eur	eur	PROPN
ejpam-5576	144	13	.	.	PUNCT
ejpam-5576	145	1	j.	j.	PROPN
ejpam-5576	145	2	pure	pure	PROPN
ejpam-5576	145	3	appl	appl	PROPN
ejpam-5576	145	4	.	.	PROPN
ejpam-5576	145	5	math	math	PROPN
ejpam-5576	145	6	,	,	PUNCT
ejpam-5576	145	7	18	18	NUM
ejpam-5576	145	8	(	(	PUNCT
ejpam-5576	145	9	1	1	NUM
ejpam-5576	145	10	)	)	PUNCT
ejpam-5576	145	11	(	(	PUNCT
ejpam-5576	145	12	2025	2025	NUM
ejpam-5576	145	13	)	)	PUNCT
ejpam-5576	145	14	,	,	PUNCT
ejpam-5576	145	15	5576	5576	NUM
ejpam-5576	145	16	7	7	NUM
ejpam-5576	145	17	of	of	ADP
ejpam-5576	145	18	16	16	NUM
ejpam-5576	145	19	1	1	NUM
ejpam-5576	145	20	.	.	PUNCT
ejpam-5576	146	1	it	it	PRON
ejpam-5576	146	2	denotes	denote	VERB
ejpam-5576	146	3	a	a	DET
ejpam-5576	146	4	continuous	continuous	ADJ
ejpam-5576	146	5	chaotic	chaotic	ADJ
ejpam-5576	146	6	system	system	NOUN
ejpam-5576	146	7	as	as	ADP
ejpam-5576	146	8	ϑ	ϑ	X
ejpam-5576	146	9	ranges	range	NOUN
ejpam-5576	146	10	from	from	ADP
ejpam-5576	146	11	0	0	NUM
ejpam-5576	146	12	to	to	ADP
ejpam-5576	146	13	1	1	NUM
ejpam-5576	146	14	.	.	PUNCT
ejpam-5576	147	1	we	we	PRON
ejpam-5576	147	2	discern	discern	VERB
ejpam-5576	147	3	three	three	NUM
ejpam-5576	147	4	equilibrium	equilibrium	NOUN
ejpam-5576	147	5	positions	position	NOUN
ejpam-5576	147	6	inside	inside	ADP
ejpam-5576	147	7	the	the	DET
ejpam-5576	147	8	system	system	NOUN
ejpam-5576	147	9	:	:	PUNCT
ejpam-5576	147	10	(	(	PUNCT
ejpam-5576	147	11	0	0	NUM
ejpam-5576	147	12	,	,	PUNCT
ejpam-5576	147	13	0	0	NUM
ejpam-5576	147	14	,	,	PUNCT
ejpam-5576	147	15	0	0	NUM
ejpam-5576	147	16	)	)	PUNCT
ejpam-5576	147	17	,	,	PUNCT
ejpam-5576	147	18	(	(	PUNCT
ejpam-5576	147	19	√	√	PROPN
ejpam-5576	147	20	72−	72−	NUM
ejpam-5576	147	21	7ϑ2	7ϑ2	NOUN
ejpam-5576	147	22	,	,	PUNCT
ejpam-5576	147	23	√	√	PROPN
ejpam-5576	147	24	72−	72−	NOUN
ejpam-5576	148	1	7ϑ−	7ϑ−	NUM
ejpam-5576	148	2	2ϑ2	2ϑ2	NUM
ejpam-5576	148	3	,	,	PUNCT
ejpam-5576	148	4	6ϑ	6ϑ	NUM
ejpam-5576	148	5	)	)	PUNCT
ejpam-5576	148	6	,	,	PUNCT
ejpam-5576	148	7	and	and	CCONJ
ejpam-5576	148	8	(	(	PUNCT
ejpam-5576	148	9	−	−	NOUN
ejpam-5576	148	10	√	√	NUM
ejpam-5576	148	11	72−	72−	NUM
ejpam-5576	149	1	7ϑ2,−	7ϑ2,−	NUM
ejpam-5576	150	1	√	√	NUM
ejpam-5576	150	2	72−	72−	NOUN
ejpam-5576	150	3	7ϑ−	7ϑ−	PROPN
ejpam-5576	150	4	2ϑ2,−6ϑ	2ϑ2,−6ϑ	NOUN
ejpam-5576	150	5	)	)	PUNCT
ejpam-5576	150	6	.	.	PUNCT
ejpam-5576	151	1	employing	employ	VERB
ejpam-5576	151	2	a	a	DET
ejpam-5576	151	3	fractional	fractional	ADJ
ejpam-5576	151	4	order	order	NOUN
ejpam-5576	151	5	of	of	ADP
ejpam-5576	151	6	α	α	NOUN
ejpam-5576	151	7	=	=	SYM
ejpam-5576	151	8	0.9	0.9	NUM
ejpam-5576	151	9	and	and	CCONJ
ejpam-5576	151	10	a	a	DET
ejpam-5576	151	11	starting	starting	NOUN
ejpam-5576	151	12	condition	condition	NOUN
ejpam-5576	151	13	of	of	ADP
ejpam-5576	151	14	(	(	PUNCT
ejpam-5576	151	15	2,2,1	2,2,1	NUM
ejpam-5576	151	16	)	)	PUNCT
ejpam-5576	151	17	,	,	PUNCT
ejpam-5576	151	18	the	the	DET
ejpam-5576	151	19	unified	unified	ADJ
ejpam-5576	151	20	system	system	NOUN
ejpam-5576	151	21	13	13	NUM
ejpam-5576	151	22	exhibits	exhibit	VERB
ejpam-5576	151	23	chaotic	chaotic	ADJ
ejpam-5576	151	24	behavior	behavior	NOUN
ejpam-5576	151	25	,	,	PUNCT
ejpam-5576	151	26	characterized	characterize	VERB
ejpam-5576	151	27	by	by	ADP
ejpam-5576	151	28	various	various	ADJ
ejpam-5576	151	29	equilibria	equilibrium	NOUN
ejpam-5576	151	30	as	as	ADP
ejpam-5576	151	31	ϑ	ϑ	X
ejpam-5576	151	32	varies	vary	VERB
ejpam-5576	151	33	from	from	ADP
ejpam-5576	151	34	0	0	NUM
ejpam-5576	151	35	to	to	PART
ejpam-5576	151	36	1	1	NUM
ejpam-5576	151	37	.	.	PUNCT
ejpam-5576	151	38	figure	figure	VERB
ejpam-5576	151	39	1	1	NUM
ejpam-5576	151	40	depicts	depict	VERB
ejpam-5576	151	41	an	an	DET
ejpam-5576	151	42	unstable	unstable	ADJ
ejpam-5576	151	43	equilibrium[6	equilibrium[6	NOUN
ejpam-5576	151	44	]	]	PUNCT
ejpam-5576	151	45	.	.	PUNCT
ejpam-5576	152	1	the	the	DET
ejpam-5576	152	2	controlled	control	VERB
ejpam-5576	152	3	stabilization	stabilization	NOUN
ejpam-5576	152	4	of	of	ADP
ejpam-5576	152	5	a	a	DET
ejpam-5576	152	6	unified	unified	ADJ
ejpam-5576	152	7	chaotic	chaotic	ADJ
ejpam-5576	152	8	system	system	NOUN
ejpam-5576	152	9	12	12	NUM
ejpam-5576	152	10	can	can	AUX
ejpam-5576	152	11	be	be	AUX
ejpam-5576	152	12	reformulated	reformulate	VERB
ejpam-5576	152	13	into	into	ADP
ejpam-5576	152	14	the	the	DET
ejpam-5576	152	15	form	form	NOUN
ejpam-5576	152	16	13	13	NUM
ejpam-5576	152	17	.	.	PUNCT
ejpam-5576	153	1	0d	0d	NOUN
ejpam-5576	154	1	α	α	X
ejpam-5576	154	2	r	r	NOUN
ejpam-5576	154	3	x(r	x(r	PROPN
ejpam-5576	154	4	)	)	PUNCT
ejpam-5576	154	5	=	=	SYM
ejpam-5576	154	6	λx+	λx+	NOUN
ejpam-5576	154	7	f(x(r))x(r)−bx(r	f(x(r))x(r)−bx(r	NOUN
ejpam-5576	154	8	)	)	PUNCT
ejpam-5576	154	9	(	(	PUNCT
ejpam-5576	154	10	13	13	NUM
ejpam-5576	154	11	)	)	PUNCT
ejpam-5576	154	12	where	where	SCONJ
ejpam-5576	154	13	λ	λ	X
ejpam-5576	154	14	=	=	SYM
ejpam-5576	154	15			PROPN
ejpam-5576	154	16	−(25	−(25	NOUN
ejpam-5576	154	17	+	+	CCONJ
ejpam-5576	154	18	ϑ	ϑ	X
ejpam-5576	154	19	)	)	PUNCT
ejpam-5576	154	20	25	25	NUM
ejpam-5576	154	21	+	+	CCONJ
ejpam-5576	154	22	ϑ	ϑ	PRON
ejpam-5576	154	23	0	0	NUM
ejpam-5576	154	24	28−	28−	NUM
ejpam-5576	154	25	35ϑ	35ϑ	NOUN
ejpam-5576	154	26	29ϑ−	29ϑ−	NUM
ejpam-5576	154	27	1	1	NUM
ejpam-5576	154	28	0	0	NUM
ejpam-5576	154	29	0	0	NUM
ejpam-5576	154	30	0	0	NUM
ejpam-5576	155	1	−8+ϑ	−8+ϑ	NOUN
ejpam-5576	155	2	3	3	NUM
ejpam-5576	155	3			PROPN
ejpam-5576	155	4	,	,	PUNCT
ejpam-5576	155	5	is	be	AUX
ejpam-5576	155	6	a	a	DET
ejpam-5576	155	7	linear	linear	ADJ
ejpam-5576	155	8	matrix	matrix	NOUN
ejpam-5576	155	9	f(x(t	f(x(t	NOUN
ejpam-5576	155	10	)	)	PUNCT
ejpam-5576	155	11	)	)	PUNCT
ejpam-5576	156	1	=	=	PUNCT
ejpam-5576	157	1			PROPN
ejpam-5576	157	2	0	0	NUM
ejpam-5576	157	3	x1x3	x1x3	X
ejpam-5576	157	4	x1x2	x1x2	PUNCT
ejpam-5576	158	1			PROPN
ejpam-5576	158	2	is	be	AUX
ejpam-5576	158	3	a	a	DET
ejpam-5576	158	4	nonlinear	nonlinear	ADJ
ejpam-5576	158	5	term	term	NOUN
ejpam-5576	158	6	,	,	PUNCT
ejpam-5576	158	7	b	b	NOUN
ejpam-5576	158	8	=	=	SYM
ejpam-5576	158	9			PROPN
ejpam-5576	158	10	0	0	NUM
ejpam-5576	158	11	1	1	NUM
ejpam-5576	158	12	0	0	NUM
ejpam-5576	158	13			PROPN
ejpam-5576	158	14	is	be	AUX
ejpam-5576	158	15	the	the	DET
ejpam-5576	158	16	control	control	NOUN
ejpam-5576	158	17	matrix	matrix	NOUN
ejpam-5576	158	18	4.2	4.2	NUM
ejpam-5576	158	19	.	.	PUNCT
ejpam-5576	159	1	regulating	regulate	VERB
ejpam-5576	159	2	the	the	DET
ejpam-5576	159	3	erratic	erratic	ADJ
ejpam-5576	159	4	dynamics	dynamic	NOUN
ejpam-5576	159	5	of	of	ADP
ejpam-5576	159	6	the	the	DET
ejpam-5576	159	7	liu	liu	PROPN
ejpam-5576	159	8	system	system	NOUN
ejpam-5576	159	9	the	the	DET
ejpam-5576	159	10	liu	liu	PROPN
ejpam-5576	159	11	system	system	NOUN
ejpam-5576	159	12	is	be	AUX
ejpam-5576	159	13	an	an	DET
ejpam-5576	159	14	obscure	obscure	ADJ
ejpam-5576	159	15	chaotic	chaotic	ADJ
ejpam-5576	159	16	system	system	NOUN
ejpam-5576	159	17	that	that	PRON
ejpam-5576	159	18	has	have	VERB
ejpam-5576	159	19	intricate	intricate	ADJ
ejpam-5576	159	20	and	and	CCONJ
ejpam-5576	159	21	chaotic	chaotic	ADJ
ejpam-5576	159	22	dynamics	dynamic	NOUN
ejpam-5576	159	23	akin	akin	ADJ
ejpam-5576	159	24	to	to	ADP
ejpam-5576	159	25	the	the	DET
ejpam-5576	159	26	more	more	ADV
ejpam-5576	159	27	renowned	renowned	ADJ
ejpam-5576	159	28	lorenz	lorenz	PROPN
ejpam-5576	159	29	and	and	CCONJ
ejpam-5576	159	30	chen	chen	PROPN
ejpam-5576	159	31	systems	systems	PROPN
ejpam-5576	159	32	.	.	PUNCT
ejpam-5576	160	1	examined	examine	VERB
ejpam-5576	160	2	the	the	DET
ejpam-5576	160	3	fractional	fractional	ADJ
ejpam-5576	160	4	-	-	PUNCT
ejpam-5576	160	5	order	order	NOUN
ejpam-5576	160	6	chaotic	chaotic	ADJ
ejpam-5576	160	7	liu	liu	PROPN
ejpam-5576	160	8	system	system	NOUN
ejpam-5576	160	9	,	,	PUNCT
ejpam-5576	160	10	characterized	characterize	VERB
ejpam-5576	160	11	as[4][36	as[4][36	PROPN
ejpam-5576	160	12	]	]	X
ejpam-5576	160	13	:	:	PUNCT
ejpam-5576	160	14	c	c	NOUN
ejpam-5576	160	15	0d	0d	X
ejpam-5576	160	16	α	α	NOUN
ejpam-5576	160	17	r	r	NOUN
ejpam-5576	160	18	x1(r	x1(r	PROPN
ejpam-5576	160	19	)	)	PUNCT
ejpam-5576	160	20	=	=	SYM
ejpam-5576	160	21	−a(x2x1	−a(x2x1	X
ejpam-5576	160	22	)	)	PUNCT
ejpam-5576	160	23	,	,	PUNCT
ejpam-5576	160	24	c	c	NOUN
ejpam-5576	160	25	0d	0d	X
ejpam-5576	161	1	α	α	NOUN
ejpam-5576	161	2	r	r	NOUN
ejpam-5576	161	3	x2(r	x2(r	PROPN
ejpam-5576	161	4	)	)	PUNCT
ejpam-5576	162	1	=	=	VERB
ejpam-5576	162	2	bx1	bx1	VERB
ejpam-5576	162	3	−	−	VERB
ejpam-5576	163	1	cx1x3	cx1x3	NOUN
ejpam-5576	163	2	,	,	PUNCT
ejpam-5576	163	3	c	c	NOUN
ejpam-5576	163	4	0d	0d	X
ejpam-5576	163	5	α	α	NOUN
ejpam-5576	163	6	r	r	NOUN
ejpam-5576	163	7	x3(r	x3(r	PROPN
ejpam-5576	163	8	)	)	PUNCT
ejpam-5576	163	9	=	=	SYM
ejpam-5576	163	10	−dx3	−dx3	PROPN
ejpam-5576	163	11	+	+	CCONJ
ejpam-5576	163	12	hx21	hx21	PROPN
ejpam-5576	163	13	(	(	PUNCT
ejpam-5576	163	14	14	14	NUM
ejpam-5576	163	15	)	)	PUNCT
ejpam-5576	163	16	when	when	SCONJ
ejpam-5576	163	17	the	the	DET
ejpam-5576	163	18	parameters	parameter	NOUN
ejpam-5576	163	19	are	be	AUX
ejpam-5576	163	20	set	set	VERB
ejpam-5576	163	21	to	to	ADP
ejpam-5576	163	22	a	a	DET
ejpam-5576	163	23	=	=	SYM
ejpam-5576	163	24	10	10	NUM
ejpam-5576	163	25	,	,	PUNCT
ejpam-5576	163	26	b	b	NOUN
ejpam-5576	163	27	=	=	SYM
ejpam-5576	163	28	40	40	NUM
ejpam-5576	163	29	,	,	PUNCT
ejpam-5576	163	30	c	c	NOUN
ejpam-5576	163	31	=	=	SYM
ejpam-5576	163	32	10	10	NUM
ejpam-5576	163	33	,	,	PUNCT
ejpam-5576	163	34	d	d	NOUN
ejpam-5576	163	35	=	=	SYM
ejpam-5576	163	36	2.8	2.8	NUM
ejpam-5576	163	37	,	,	PUNCT
ejpam-5576	163	38	h	h	NOUN
ejpam-5576	163	39	=	=	SYM
ejpam-5576	163	40	4	4	NUM
ejpam-5576	163	41	,	,	PUNCT
ejpam-5576	163	42	andα	andα	NOUN
ejpam-5576	163	43	=	=	NOUN
ejpam-5576	163	44	1.05	1.05	NUM
ejpam-5576	163	45	,	,	PUNCT
ejpam-5576	163	46	system	system	NOUN
ejpam-5576	163	47	13	13	NUM
ejpam-5576	163	48	demonstrates	demonstrate	VERB
ejpam-5576	163	49	chaotic	chaotic	ADJ
ejpam-5576	163	50	behavior	behavior	NOUN
ejpam-5576	163	51	,	,	PUNCT
ejpam-5576	163	52	as	as	SCONJ
ejpam-5576	163	53	illustrated	illustrate	VERB
ejpam-5576	163	54	in	in	ADP
ejpam-5576	163	55	figure	figure	NOUN
ejpam-5576	163	56	2	2	NUM
ejpam-5576	163	57	.	.	PUNCT
ejpam-5576	164	1	the	the	DET
ejpam-5576	164	2	controlled	control	VERB
ejpam-5576	164	3	fractionalorder	fractionalorder	ADJ
ejpam-5576	164	4	chaotic	chaotic	ADJ
ejpam-5576	164	5	system14	system14	NOUN
ejpam-5576	164	6	may	may	AUX
ejpam-5576	164	7	be	be	AUX
ejpam-5576	164	8	reformulated	reformulate	VERB
ejpam-5576	164	9	into	into	ADP
ejpam-5576	164	10	the	the	DET
ejpam-5576	164	11	structure	structure	NOUN
ejpam-5576	164	12	of	of	ADP
ejpam-5576	164	13	14	14	NUM
ejpam-5576	164	14	.	.	PUNCT
ejpam-5576	165	1	c	c	NOUN
ejpam-5576	165	2	0d	0d	X
ejpam-5576	165	3	α	α	X
ejpam-5576	165	4	r	r	NOUN
ejpam-5576	165	5	x(r	x(r	PROPN
ejpam-5576	165	6	)	)	PUNCT
ejpam-5576	165	7	=	=	SYM
ejpam-5576	165	8	ax(r	ax(r	X
ejpam-5576	165	9	)	)	PUNCT
ejpam-5576	165	10	+	+	CCONJ
ejpam-5576	165	11	f(x(r))x(r)−kx(r	f(x(r))x(r)−kx(r	NOUN
ejpam-5576	165	12	)	)	PUNCT
ejpam-5576	165	13	(	(	PUNCT
ejpam-5576	165	14	15	15	NUM
ejpam-5576	165	15	)	)	PUNCT
ejpam-5576	165	16	t.	t.	PROPN
ejpam-5576	165	17	khalid	khalid	PROPN
ejpam-5576	165	18	/	/	SYM
ejpam-5576	165	19	eur	eur	PROPN
ejpam-5576	165	20	.	.	PUNCT
ejpam-5576	166	1	j.	j.	PROPN
ejpam-5576	166	2	pure	pure	PROPN
ejpam-5576	166	3	appl	appl	PROPN
ejpam-5576	166	4	.	.	PROPN
ejpam-5576	166	5	math	math	PROPN
ejpam-5576	166	6	,	,	PUNCT
ejpam-5576	166	7	18	18	NUM
ejpam-5576	166	8	(	(	PUNCT
ejpam-5576	166	9	1	1	NUM
ejpam-5576	166	10	)	)	PUNCT
ejpam-5576	166	11	(	(	PUNCT
ejpam-5576	166	12	2025	2025	NUM
ejpam-5576	166	13	)	)	PUNCT
ejpam-5576	166	14	,	,	PUNCT
ejpam-5576	166	15	5576	5576	NUM
ejpam-5576	166	16	8	8	NUM
ejpam-5576	166	17	of	of	ADP
ejpam-5576	166	18	16	16	NUM
ejpam-5576	166	19	where	where	SCONJ
ejpam-5576	166	20	λ	λ	X
ejpam-5576	166	21	=	=	SYM
ejpam-5576	166	22			PROPN
ejpam-5576	166	23	−a	−a	VERB
ejpam-5576	166	24	0	0	NUM
ejpam-5576	166	25	0	0	NUM
ejpam-5576	166	26	0	0	NUM
ejpam-5576	166	27	b	b	X
ejpam-5576	166	28	0	0	NUM
ejpam-5576	166	29	0	0	NUM
ejpam-5576	166	30	0	0	NUM
ejpam-5576	166	31	−d	−d	ADJ
ejpam-5576	166	32			PROPN
ejpam-5576	166	33	,	,	PUNCT
ejpam-5576	166	34	f(x(r	f(x(r	PROPN
ejpam-5576	166	35	)	)	PUNCT
ejpam-5576	166	36	)	)	PUNCT
ejpam-5576	167	1	=	=	PUNCT
ejpam-5576	167	2			PROPN
ejpam-5576	167	3	0	0	NUM
ejpam-5576	167	4	−cx1x3	−cx1x3	PROPN
ejpam-5576	167	5	hx21	hx21	PROPN
ejpam-5576	167	6			PROPN
ejpam-5576	167	7	x(r	x(r	PRON
ejpam-5576	167	8	)	)	PUNCT
ejpam-5576	168	1	=	=	PUNCT
ejpam-5576	169	1			PROPN
ejpam-5576	169	2	x1(r	x1(r	PROPN
ejpam-5576	169	3	)	)	PUNCT
ejpam-5576	169	4	x2(r	x2(r	PROPN
ejpam-5576	169	5	)	)	PUNCT
ejpam-5576	169	6	x3(r	x3(r	X
ejpam-5576	169	7	)	)	PUNCT
ejpam-5576	169	8			PROPN
ejpam-5576	169	9	considering	consider	VERB
ejpam-5576	169	10	the	the	DET
ejpam-5576	169	11	system	system	NOUN
ejpam-5576	169	12	’s	’s	PART
ejpam-5576	169	13	chaotic	chaotic	ADJ
ejpam-5576	169	14	characteristics	characteristic	NOUN
ejpam-5576	169	15	and	and	CCONJ
ejpam-5576	169	16	the	the	DET
ejpam-5576	169	17	constrained	constrained	ADJ
ejpam-5576	169	18	state	state	NOUN
ejpam-5576	169	19	variables	variable	NOUN
ejpam-5576	169	20	,	,	PUNCT
ejpam-5576	169	21	we	we	PRON
ejpam-5576	169	22	can	can	AUX
ejpam-5576	169	23	easily	easily	ADV
ejpam-5576	169	24	determine	determine	VERB
ejpam-5576	169	25	that	that	SCONJ
ejpam-5576	169	26	|x1(r)|	|x1(r)|	PROPN
ejpam-5576	169	27	<	<	X
ejpam-5576	169	28	2	2	NUM
ejpam-5576	169	29	using	use	VERB
ejpam-5576	169	30	numerical	numerical	ADJ
ejpam-5576	169	31	simulation	simulation	NOUN
ejpam-5576	169	32	.	.	PUNCT
ejpam-5576	170	1	consequently	consequently	ADV
ejpam-5576	170	2	,	,	PUNCT
ejpam-5576	170	3	the	the	DET
ejpam-5576	170	4	expression	expression	NOUN
ejpam-5576	170	5	x⊤(r)g(x(r))x(t	x⊤(r)g(x(r))x(t	PUNCT
ejpam-5576	170	6	)	)	PUNCT
ejpam-5576	170	7	=	=	PUNCT
ejpam-5576	170	8	−ex1x	−ex1x	NOUN
ejpam-5576	170	9	2	2	NUM
ejpam-5576	170	10	2	2	NUM
ejpam-5576	170	11	<	<	X
ejpam-5576	170	12	2x22	2x22	NUM
ejpam-5576	170	13	necessitates	necessitate	VERB
ejpam-5576	170	14	that	that	SCONJ
ejpam-5576	170	15	c	c	AUX
ejpam-5576	170	16	=	=	SYM
ejpam-5576	170	17	2	2	X
ejpam-5576	170	18	.	.	NOUN
ejpam-5576	170	19	asserts	assert	VERB
ejpam-5576	170	20	that	that	SCONJ
ejpam-5576	170	21	if	if	SCONJ
ejpam-5576	170	22	the	the	DET
ejpam-5576	170	23	matrix	matrix	NOUN
ejpam-5576	170	24	s	s	PART
ejpam-5576	170	25	=	=	NOUN
ejpam-5576	170	26	λ⊤+λ	λ⊤+λ	SYM
ejpam-5576	170	27	2	2	NUM
ejpam-5576	170	28	−	−	NOUN
ejpam-5576	170	29	hi	hi	INTJ
ejpam-5576	170	30	is	be	AUX
ejpam-5576	170	31	negative	negative	ADJ
ejpam-5576	170	32	definite	definite	ADJ
ejpam-5576	170	33	,	,	PUNCT
ejpam-5576	170	34	then	then	ADV
ejpam-5576	170	35	the	the	DET
ejpam-5576	170	36	system	system	NOUN
ejpam-5576	170	37	14	14	NUM
ejpam-5576	170	38	exhibits	exhibit	VERB
ejpam-5576	170	39	asymptotic	asymptotic	ADJ
ejpam-5576	170	40	stability	stability	NOUN
ejpam-5576	170	41	.	.	PUNCT
ejpam-5576	171	1	the	the	DET
ejpam-5576	171	2	maximum	maximum	PROPN
ejpam-5576	171	3	eigenvalue	eigenvalue	NOUN
ejpam-5576	171	4	of	of	ADP
ejpam-5576	171	5	the	the	DET
ejpam-5576	171	6	matrix	matrix	NOUN
ejpam-5576	171	7	λ⊤+λ	λ⊤+λ	PUNCT
ejpam-5576	171	8	2	2	NUM
ejpam-5576	171	9	is	be	AUX
ejpam-5576	171	10	λmax	λmax	NOUN
ejpam-5576	171	11	=	=	SYM
ejpam-5576	171	12	2.5	2.5	NUM
ejpam-5576	171	13	.	.	PUNCT
ejpam-5576	172	1	if	if	SCONJ
ejpam-5576	172	2	the	the	DET
ejpam-5576	172	3	feedback	feedback	NOUN
ejpam-5576	172	4	gain	gain	VERB
ejpam-5576	172	5	matrix	matrix	NOUN
ejpam-5576	172	6	h	h	NOUN
ejpam-5576	172	7	=	=	PUNCT
ejpam-5576	172	8	hi	hi	INTJ
ejpam-5576	172	9	satisfies	satisfy	VERB
ejpam-5576	172	10	the	the	DET
ejpam-5576	172	11	condition	condition	NOUN
ejpam-5576	172	12	h	h	NOUN
ejpam-5576	172	13	>	>	X
ejpam-5576	172	14	4.5	4.5	NUM
ejpam-5576	172	15	,	,	PUNCT
ejpam-5576	172	16	the	the	DET
ejpam-5576	172	17	system	system	NOUN
ejpam-5576	172	18	attains	attain	VERB
ejpam-5576	172	19	asymptotic	asymptotic	ADJ
ejpam-5576	172	20	stability	stability	NOUN
ejpam-5576	172	21	at	at	ADP
ejpam-5576	172	22	the	the	DET
ejpam-5576	172	23	origin[26	origin[26	NOUN
ejpam-5576	172	24	]	]	PUNCT
ejpam-5576	172	25	.	.	PUNCT
ejpam-5576	173	1	4.3	4.3	NUM
ejpam-5576	173	2	.	.	PUNCT
ejpam-5576	173	3	challenges	challenge	NOUN
ejpam-5576	173	4	in	in	ADP
ejpam-5576	173	5	stabilising	stabilise	VERB
ejpam-5576	173	6	the	the	DET
ejpam-5576	173	7	fractional	fractional	ADJ
ejpam-5576	173	8	-	-	PUNCT
ejpam-5576	173	9	order	order	NOUN
ejpam-5576	173	10	hyperchaotic	hyperchaotic	ADJ
ejpam-5576	173	11	chen	chen	PROPN
ejpam-5576	173	12	system	system	PROPN
ejpam-5576	173	13	(	(	PUNCT
ejpam-5576	173	14	fhcs	fhcs	PROPN
ejpam-5576	173	15	)	)	PUNCT
ejpam-5576	173	16	fractional	fractional	ADJ
ejpam-5576	173	17	hyper	hyper	ADJ
ejpam-5576	173	18	chain	chain	NOUN
ejpam-5576	173	19	systems	system	NOUN
ejpam-5576	173	20	(	(	PUNCT
ejpam-5576	173	21	fhcs	fhcs	PROPN
ejpam-5576	173	22	)	)	PUNCT
ejpam-5576	173	23	provide	provide	VERB
ejpam-5576	173	24	an	an	DET
ejpam-5576	173	25	innovative	innovative	ADJ
ejpam-5576	173	26	methodology	methodology	NOUN
ejpam-5576	173	27	for	for	ADP
ejpam-5576	173	28	stability	stability	NOUN
ejpam-5576	173	29	analysis	analysis	NOUN
ejpam-5576	173	30	in	in	ADP
ejpam-5576	173	31	fractional	fractional	ADJ
ejpam-5576	173	32	differential	differential	NOUN
ejpam-5576	173	33	systems	system	NOUN
ejpam-5576	173	34	,	,	PUNCT
ejpam-5576	173	35	providing	provide	VERB
ejpam-5576	173	36	numerous	numerous	ADJ
ejpam-5576	173	37	benefits	benefit	NOUN
ejpam-5576	173	38	compared	compare	VERB
ejpam-5576	173	39	to	to	ADP
ejpam-5576	173	40	conventional	conventional	ADJ
ejpam-5576	173	41	techniques	technique	NOUN
ejpam-5576	173	42	such	such	ADJ
ejpam-5576	173	43	as	as	ADP
ejpam-5576	173	44	the	the	DET
ejpam-5576	173	45	adomian	adomian	NOUN
ejpam-5576	173	46	decomposition	decomposition	NOUN
ejpam-5576	173	47	method	method	NOUN
ejpam-5576	173	48	(	(	PUNCT
ejpam-5576	173	49	adm	adm	PROPN
ejpam-5576	173	50	)	)	PUNCT
ejpam-5576	173	51	and	and	CCONJ
ejpam-5576	173	52	the	the	DET
ejpam-5576	173	53	variational	variational	ADJ
ejpam-5576	173	54	iteration	iteration	NOUN
ejpam-5576	173	55	method	method	NOUN
ejpam-5576	173	56	(	(	PUNCT
ejpam-5576	173	57	vim	vim	NOUN
ejpam-5576	173	58	)	)	PUNCT
ejpam-5576	173	59	.	.	PUNCT
ejpam-5576	174	1	fhcs	fhcs	PROPN
ejpam-5576	174	2	offers	offer	VERB
ejpam-5576	174	3	advanced	advanced	ADJ
ejpam-5576	174	4	modelling	modelling	NOUN
ejpam-5576	174	5	capabilities	capability	NOUN
ejpam-5576	174	6	that	that	PRON
ejpam-5576	174	7	accurately	accurately	ADV
ejpam-5576	174	8	represent	represent	VERB
ejpam-5576	174	9	the	the	DET
ejpam-5576	174	10	intricate	intricate	ADJ
ejpam-5576	174	11	behaviours	behaviour	NOUN
ejpam-5576	174	12	of	of	ADP
ejpam-5576	174	13	real	real	ADJ
ejpam-5576	174	14	-	-	PUNCT
ejpam-5576	174	15	world	world	NOUN
ejpam-5576	174	16	systems	system	NOUN
ejpam-5576	174	17	characterised	characterise	VERB
ejpam-5576	174	18	by	by	ADP
ejpam-5576	174	19	noninteger	noninteger	NOUN
ejpam-5576	174	20	order	order	NOUN
ejpam-5576	174	21	dynamics	dynamic	NOUN
ejpam-5576	174	22	.	.	PUNCT
ejpam-5576	175	1	its	its	PRON
ejpam-5576	175	2	highly	highly	ADV
ejpam-5576	175	3	organised	organise	VERB
ejpam-5576	175	4	structure	structure	NOUN
ejpam-5576	175	5	facilitates	facilitate	VERB
ejpam-5576	175	6	a	a	DET
ejpam-5576	175	7	more	more	ADV
ejpam-5576	175	8	thorough	thorough	ADJ
ejpam-5576	175	9	examination	examination	NOUN
ejpam-5576	175	10	of	of	ADP
ejpam-5576	175	11	systems	system	NOUN
ejpam-5576	175	12	with	with	ADP
ejpam-5576	175	13	interconnected	interconnected	ADJ
ejpam-5576	175	14	components	component	NOUN
ejpam-5576	175	15	,	,	PUNCT
ejpam-5576	175	16	especially	especially	ADV
ejpam-5576	175	17	beneficial	beneficial	ADJ
ejpam-5576	175	18	in	in	ADP
ejpam-5576	175	19	networked	networked	ADJ
ejpam-5576	175	20	systems	system	NOUN
ejpam-5576	175	21	or	or	CCONJ
ejpam-5576	175	22	multi	multi	ADJ
ejpam-5576	175	23	-	-	ADJ
ejpam-5576	175	24	agent	agent	ADJ
ejpam-5576	175	25	situations	situation	NOUN
ejpam-5576	175	26	.	.	PUNCT
ejpam-5576	176	1	fhcs	fhcs	PROPN
ejpam-5576	176	2	additionally	additionally	ADV
ejpam-5576	176	3	provides	provide	VERB
ejpam-5576	176	4	comprehensive	comprehensive	ADJ
ejpam-5576	176	5	stability	stability	NOUN
ejpam-5576	176	6	analysis	analysis	NOUN
ejpam-5576	176	7	,	,	PUNCT
ejpam-5576	176	8	using	use	VERB
ejpam-5576	176	9	novel	novel	ADJ
ejpam-5576	176	10	stability	stability	NOUN
ejpam-5576	176	11	criteria	criterion	NOUN
ejpam-5576	176	12	that	that	PRON
ejpam-5576	176	13	surpass	surpass	VERB
ejpam-5576	176	14	conventional	conventional	ADJ
ejpam-5576	176	15	lyapunov	lyapunov	ADJ
ejpam-5576	176	16	methods	method	NOUN
ejpam-5576	176	17	in	in	ADP
ejpam-5576	176	18	efficacy	efficacy	NOUN
ejpam-5576	176	19	.	.	PUNCT
ejpam-5576	177	1	this	this	PRON
ejpam-5576	177	2	facilitates	facilitate	VERB
ejpam-5576	177	3	improved	improved	ADJ
ejpam-5576	177	4	design	design	NOUN
ejpam-5576	177	5	and	and	CCONJ
ejpam-5576	177	6	control	control	NOUN
ejpam-5576	177	7	tactics	tactic	NOUN
ejpam-5576	177	8	,	,	PUNCT
ejpam-5576	177	9	augmenting	augment	VERB
ejpam-5576	177	10	versatility	versatility	NOUN
ejpam-5576	177	11	in	in	ADP
ejpam-5576	177	12	controller	controller	NOUN
ejpam-5576	177	13	design	design	NOUN
ejpam-5576	177	14	.	.	PUNCT
ejpam-5576	178	1	fhcs	fhcs	PROPN
ejpam-5576	178	2	can	can	AUX
ejpam-5576	178	3	streamline	streamline	VERB
ejpam-5576	178	4	computing	computing	NOUN
ejpam-5576	178	5	demands	demand	NOUN
ejpam-5576	178	6	and	and	CCONJ
ejpam-5576	178	7	offer	offer	VERB
ejpam-5576	178	8	analytical	analytical	ADJ
ejpam-5576	178	9	insights	insight	NOUN
ejpam-5576	178	10	,	,	PUNCT
ejpam-5576	178	11	rendering	render	VERB
ejpam-5576	178	12	it	it	PRON
ejpam-5576	178	13	appropriate	appropriate	ADJ
ejpam-5576	178	14	for	for	ADP
ejpam-5576	178	15	various	various	ADJ
ejpam-5576	178	16	applications	application	NOUN
ejpam-5576	178	17	in	in	ADP
ejpam-5576	178	18	engineering	engineering	NOUN
ejpam-5576	178	19	and	and	CCONJ
ejpam-5576	178	20	applied	apply	VERB
ejpam-5576	178	21	sciences	science	NOUN
ejpam-5576	178	22	.	.	PUNCT
ejpam-5576	179	1	the	the	DET
ejpam-5576	179	2	study	study	NOUN
ejpam-5576	179	3	illustrates	illustrate	VERB
ejpam-5576	179	4	the	the	DET
ejpam-5576	179	5	practical	practical	ADJ
ejpam-5576	179	6	applications	application	NOUN
ejpam-5576	179	7	of	of	ADP
ejpam-5576	179	8	fhcs	fhcs	NOUN
ejpam-5576	179	9	in	in	ADP
ejpam-5576	179	10	addressing	address	VERB
ejpam-5576	179	11	intricate	intricate	ADJ
ejpam-5576	179	12	issues	issue	NOUN
ejpam-5576	179	13	in	in	ADP
ejpam-5576	179	14	engineering	engineering	NOUN
ejpam-5576	179	15	and	and	CCONJ
ejpam-5576	179	16	applied	apply	VERB
ejpam-5576	179	17	sciences	science	NOUN
ejpam-5576	179	18	,	,	PUNCT
ejpam-5576	179	19	connecting	connect	VERB
ejpam-5576	179	20	theory	theory	NOUN
ejpam-5576	179	21	with	with	ADP
ejpam-5576	179	22	practice.[22][21][16][10	practice.[22][21][16][10	PROPN
ejpam-5576	179	23	]	]	X
ejpam-5576	180	1	[	[	X
ejpam-5576	180	2	6	6	NUM
ejpam-5576	180	3	]	]	PUNCT
ejpam-5576	180	4	:	:	PUNCT
ejpam-5576	180	5	ẋ1	ẋ1	PROPN
ejpam-5576	180	6	=	=	SYM
ejpam-5576	180	7	a1	a1	PROPN
ejpam-5576	180	8	(	(	PUNCT
ejpam-5576	180	9	x2	x2	NOUN
ejpam-5576	180	10	−	−	PROPN
ejpam-5576	180	11	x1	x1	PROPN
ejpam-5576	180	12	)	)	PUNCT
ejpam-5576	181	1	+	+	CCONJ
ejpam-5576	181	2	x4	x4	PROPN
ejpam-5576	181	3	,	,	PUNCT
ejpam-5576	181	4	ẋ2	ẋ2	PROPN
ejpam-5576	181	5	=	=	PUNCT
ejpam-5576	182	1	d1x1	d1x1	NOUN
ejpam-5576	182	2	−	−	X
ejpam-5576	182	3	x1x3	x1x3	X
ejpam-5576	183	1	+	+	CCONJ
ejpam-5576	183	2	c1x2	c1x2	X
ejpam-5576	183	3	,	,	PUNCT
ejpam-5576	183	4	ẋ3	ẋ3	PROPN
ejpam-5576	183	5	=	=	SYM
ejpam-5576	183	6	x1x2	x1x2	X
ejpam-5576	184	1	−	−	X
ejpam-5576	184	2	b1x3	b1x3	X
ejpam-5576	184	3	,	,	PUNCT
ejpam-5576	184	4	ẋ4	ẋ4	PROPN
ejpam-5576	184	5	=	=	PUNCT
ejpam-5576	184	6	x2x3	x2x3	PROPN
ejpam-5576	185	1	+	+	X
ejpam-5576	185	2	rx4	rx4	NOUN
ejpam-5576	185	3	(	(	PUNCT
ejpam-5576	185	4	16	16	NUM
ejpam-5576	185	5	)	)	PUNCT
ejpam-5576	185	6	where	where	SCONJ
ejpam-5576	185	7	a1	a1	NOUN
ejpam-5576	185	8	,	,	PUNCT
ejpam-5576	185	9	b1	b1	NOUN
ejpam-5576	185	10	,	,	PUNCT
ejpam-5576	185	11	c1	c1	NOUN
ejpam-5576	185	12	,	,	PUNCT
ejpam-5576	185	13	d1	d1	PROPN
ejpam-5576	185	14	,	,	PUNCT
ejpam-5576	185	15	k	k	PROPN
ejpam-5576	185	16	∈	∈	PROPN
ejpam-5576	185	17	r.	r.	PROPN
ejpam-5576	185	18	when	when	SCONJ
ejpam-5576	185	19	a1	a1	NOUN
ejpam-5576	185	20	=	=	SYM
ejpam-5576	185	21	35	35	NUM
ejpam-5576	185	22	,	,	PUNCT
ejpam-5576	185	23	b1	b1	NOUN
ejpam-5576	185	24	=	=	SYM
ejpam-5576	185	25	3	3	NUM
ejpam-5576	185	26	,	,	PUNCT
ejpam-5576	185	27	c1	c1	NOUN
ejpam-5576	185	28	=	=	PROPN
ejpam-5576	185	29	12	12	NUM
ejpam-5576	185	30	,	,	PUNCT
ejpam-5576	185	31	d1	d1	NOUN
ejpam-5576	185	32	=	=	SYM
ejpam-5576	185	33	7	7	NUM
ejpam-5576	185	34	,	,	PUNCT
ejpam-5576	185	35	and	and	CCONJ
ejpam-5576	185	36	0.085	0.085	NUM
ejpam-5576	185	37	<	<	X
ejpam-5576	185	38	r	r	NOUN
ejpam-5576	185	39	⩽	⩽	NOUN
ejpam-5576	185	40	0.798	0.798	NUM
ejpam-5576	185	41	,	,	PUNCT
ejpam-5576	185	42	the	the	DET
ejpam-5576	185	43	system	system	NOUN
ejpam-5576	185	44	16	16	NUM
ejpam-5576	185	45	is	be	AUX
ejpam-5576	185	46	hyperchaotic[15	hyperchaotic[15	NOUN
ejpam-5576	185	47	]	]	X
ejpam-5576	185	48	.	.	PUNCT
ejpam-5576	186	1	subsequently	subsequently	ADV
ejpam-5576	186	2	,	,	PUNCT
ejpam-5576	186	3	we	we	PRON
ejpam-5576	186	4	examine	examine	VERB
ejpam-5576	186	5	the	the	DET
ejpam-5576	186	6	fractional	fractional	ADJ
ejpam-5576	186	7	variant	variant	NOUN
ejpam-5576	186	8	of	of	ADP
ejpam-5576	186	9	this	this	DET
ejpam-5576	186	10	system	system	NOUN
ejpam-5576	186	11	,	,	PUNCT
ejpam-5576	186	12	which	which	PRON
ejpam-5576	186	13	is	be	AUX
ejpam-5576	186	14	represented	represent	VERB
ejpam-5576	186	15	by	by	ADP
ejpam-5576	186	16	0d	0d	PROPN
ejpam-5576	187	1	α	α	PROPN
ejpam-5576	187	2	t	t	PROPN
ejpam-5576	187	3	x1	x1	NOUN
ejpam-5576	188	1	=	=	PUNCT
ejpam-5576	188	2	a	a	PRON
ejpam-5576	188	3	(	(	PUNCT
ejpam-5576	188	4	x2	x2	NOUN
ejpam-5576	188	5	−	−	PROPN
ejpam-5576	188	6	x1	x1	PROPN
ejpam-5576	188	7	)	)	PUNCT
ejpam-5576	189	1	+	+	CCONJ
ejpam-5576	189	2	x4	x4	PROPN
ejpam-5576	189	3	,	,	PUNCT
ejpam-5576	189	4	0d	0d	X
ejpam-5576	190	1	α	α	PROPN
ejpam-5576	190	2	t	t	PROPN
ejpam-5576	191	1	x2	x2	PROPN
ejpam-5576	191	2	=	=	SYM
ejpam-5576	191	3	dx1	dx1	PROPN
ejpam-5576	191	4	−	−	X
ejpam-5576	191	5	x1x3	x1x3	X
ejpam-5576	192	1	+	+	NUM
ejpam-5576	192	2	cx2	cx2	PROPN
ejpam-5576	192	3	,	,	PUNCT
ejpam-5576	192	4	0d	0d	X
ejpam-5576	192	5	α	α	PROPN
ejpam-5576	192	6	t	t	NOUN
ejpam-5576	192	7	x3	x3	PROPN
ejpam-5576	192	8	=	=	SYM
ejpam-5576	192	9	x1x2	x1x2	PUNCT
ejpam-5576	192	10	−	−	PROPN
ejpam-5576	192	11	bx3	bx3	PROPN
ejpam-5576	192	12	,	,	PUNCT
ejpam-5576	192	13	0	0	NUM
ejpam-5576	192	14	dα	dα	PROPN
ejpam-5576	192	15	t	t	PROPN
ejpam-5576	192	16	x4	x4	PROPN
ejpam-5576	192	17	=	=	PUNCT
ejpam-5576	193	1	x2x3	x2x3	PROPN
ejpam-5576	194	1	+	+	X
ejpam-5576	194	2	rx4	rx4	NOUN
ejpam-5576	194	3	(	(	PUNCT
ejpam-5576	194	4	17	17	NUM
ejpam-5576	194	5	)	)	PUNCT
ejpam-5576	194	6	t.	t.	PROPN
ejpam-5576	194	7	khalid	khalid	PROPN
ejpam-5576	194	8	/	/	SYM
ejpam-5576	194	9	eur	eur	PROPN
ejpam-5576	194	10	.	.	PUNCT
ejpam-5576	195	1	j.	j.	PROPN
ejpam-5576	195	2	pure	pure	PROPN
ejpam-5576	195	3	appl	appl	PROPN
ejpam-5576	195	4	.	.	PROPN
ejpam-5576	195	5	math	math	PROPN
ejpam-5576	195	6	,	,	PUNCT
ejpam-5576	195	7	18	18	NUM
ejpam-5576	195	8	(	(	PUNCT
ejpam-5576	195	9	1	1	NUM
ejpam-5576	195	10	)	)	PUNCT
ejpam-5576	195	11	(	(	PUNCT
ejpam-5576	195	12	2025	2025	NUM
ejpam-5576	195	13	)	)	PUNCT
ejpam-5576	195	14	,	,	PUNCT
ejpam-5576	195	15	5576	5576	NUM
ejpam-5576	195	16	9	9	NUM
ejpam-5576	195	17	of	of	ADP
ejpam-5576	195	18	16	16	NUM
ejpam-5576	195	19	where	where	SCONJ
ejpam-5576	195	20	α	α	PROPN
ejpam-5576	195	21	denotes	denote	VERB
ejpam-5576	195	22	the	the	DET
ejpam-5576	195	23	fractional	fractional	ADJ
ejpam-5576	195	24	order	order	NOUN
ejpam-5576	195	25	.	.	PUNCT
ejpam-5576	196	1	for	for	ADP
ejpam-5576	196	2	the	the	DET
ejpam-5576	196	3	values	value	NOUN
ejpam-5576	196	4	a	a	DET
ejpam-5576	196	5	=	=	SYM
ejpam-5576	196	6	35	35	NUM
ejpam-5576	196	7	,	,	PUNCT
ejpam-5576	196	8	b	b	NOUN
ejpam-5576	196	9	=	=	SYM
ejpam-5576	196	10	3	3	NUM
ejpam-5576	196	11	,	,	PUNCT
ejpam-5576	196	12	c	c	NOUN
ejpam-5576	196	13	=	=	SYM
ejpam-5576	196	14	12	12	NUM
ejpam-5576	196	15	,	,	PUNCT
ejpam-5576	196	16	d	d	NOUN
ejpam-5576	196	17	=	=	SYM
ejpam-5576	196	18	7	7	NUM
ejpam-5576	196	19	,	,	PUNCT
ejpam-5576	196	20	and	and	CCONJ
ejpam-5576	196	21	r	r	NOUN
ejpam-5576	196	22	=	=	SYM
ejpam-5576	196	23	0.5	0.5	NUM
ejpam-5576	196	24	,	,	PUNCT
ejpam-5576	196	25	this	this	DET
ejpam-5576	196	26	system	system	NOUN
ejpam-5576	196	27	possesses	possess	VERB
ejpam-5576	196	28	a	a	DET
ejpam-5576	196	29	singular	singular	ADJ
ejpam-5576	196	30	equilibrium	equilibrium	NOUN
ejpam-5576	196	31	point	point	NOUN
ejpam-5576	196	32	at	at	ADP
ejpam-5576	196	33	(	(	PUNCT
ejpam-5576	196	34	0	0	NUM
ejpam-5576	196	35	,	,	PUNCT
ejpam-5576	196	36	0	0	NUM
ejpam-5576	196	37	,	,	PUNCT
ejpam-5576	196	38	0	0	NUM
ejpam-5576	196	39	,	,	PUNCT
ejpam-5576	196	40	0	0	NUM
ejpam-5576	196	41	)	)	PUNCT
ejpam-5576	196	42	.	.	PUNCT
ejpam-5576	197	1	in	in	ADP
ejpam-5576	197	2	the	the	DET
ejpam-5576	197	3	commensurate	commensurate	ADJ
ejpam-5576	197	4	system	system	NOUN
ejpam-5576	197	5	,	,	PUNCT
ejpam-5576	197	6	computer	computer	NOUN
ejpam-5576	197	7	simulations	simulation	NOUN
ejpam-5576	197	8	indicate	indicate	VERB
ejpam-5576	197	9	that	that	SCONJ
ejpam-5576	197	10	the	the	DET
ejpam-5576	197	11	minimum	minimum	ADJ
ejpam-5576	197	12	order	order	NOUN
ejpam-5576	197	13	required	require	VERB
ejpam-5576	197	14	to	to	PART
ejpam-5576	197	15	produce	produce	VERB
ejpam-5576	197	16	hyperchaos	hyperchaos	PROPN
ejpam-5576	197	17	is	be	AUX
ejpam-5576	197	18	0.946	0.946	NUM
ejpam-5576	197	19	.	.	PUNCT
ejpam-5576	198	1	the	the	DET
ejpam-5576	198	2	regulated	regulated	ADJ
ejpam-5576	198	3	fractional	fractional	ADJ
ejpam-5576	198	4	-	-	PUNCT
ejpam-5576	198	5	order	order	NOUN
ejpam-5576	198	6	chaotic	chaotic	ADJ
ejpam-5576	198	7	system	system	NOUN
ejpam-5576	198	8	(	(	PUNCT
ejpam-5576	198	9	4.6	4.6	NUM
ejpam-5576	198	10	)	)	PUNCT
ejpam-5576	198	11	can	can	AUX
ejpam-5576	198	12	be	be	AUX
ejpam-5576	198	13	reformulated	reformulate	VERB
ejpam-5576	198	14	as	as	ADP
ejpam-5576	198	15	(	(	PUNCT
ejpam-5576	198	16	3.4	3.4	NUM
ejpam-5576	198	17	)	)	PUNCT
ejpam-5576	198	18	.	.	PUNCT
ejpam-5576	199	1	0d	0d	X
ejpam-5576	200	1	α	α	PROPN
ejpam-5576	200	2	t	t	PROPN
ejpam-5576	200	3	x(t	x(t	PROPN
ejpam-5576	200	4	)	)	PUNCT
ejpam-5576	200	5	=	=	SYM
ejpam-5576	200	6	ax(t	ax(t	NUM
ejpam-5576	200	7	)	)	PUNCT
ejpam-5576	201	1	+	+	NUM
ejpam-5576	201	2	g(x(t))x(t)−kx(t	g(x(t))x(t)−kx(t	PROPN
ejpam-5576	201	3	)	)	PUNCT
ejpam-5576	201	4	where	where	SCONJ
ejpam-5576	201	5	a	a	DET
ejpam-5576	201	6	=	=	SYM
ejpam-5576	201	7			PROPN
ejpam-5576	201	8	−a	−a	NOUN
ejpam-5576	201	9	a	a	DET
ejpam-5576	201	10	0	0	NUM
ejpam-5576	201	11	1	1	NUM
ejpam-5576	201	12	d	d	NOUN
ejpam-5576	201	13	c	c	NOUN
ejpam-5576	201	14	0	0	NUM
ejpam-5576	201	15	0	0	NUM
ejpam-5576	201	16	0	0	NUM
ejpam-5576	201	17	0	0	NUM
ejpam-5576	201	18	−b	−b	NOUN
ejpam-5576	201	19	0	0	NUM
ejpam-5576	201	20	0	0	NUM
ejpam-5576	201	21	0	0	NUM
ejpam-5576	201	22	r	r	NOUN
ejpam-5576	201	23			NOUN
ejpam-5576	201	24	,	,	PUNCT
ejpam-5576	201	25	g(x(t	g(x(t	PROPN
ejpam-5576	201	26	)	)	PUNCT
ejpam-5576	201	27	)	)	PUNCT
ejpam-5576	201	28	=	=	PUNCT
ejpam-5576	201	29			ADJ
ejpam-5576	201	30	0	0	NUM
ejpam-5576	201	31	0	0	NUM
ejpam-5576	201	32	0	0	NUM
ejpam-5576	201	33	0	0	NUM
ejpam-5576	201	34	0	0	NUM
ejpam-5576	201	35	0	0	NUM
ejpam-5576	201	36	−x1	−x1	NOUN
ejpam-5576	201	37	0	0	NUM
ejpam-5576	201	38	0	0	NUM
ejpam-5576	202	1	x1	x1	NOUN
ejpam-5576	202	2	0	0	NUM
ejpam-5576	202	3	0	0	NUM
ejpam-5576	202	4	0	0	NUM
ejpam-5576	202	5	0	0	NUM
ejpam-5576	202	6	x2	x2	SYM
ejpam-5576	202	7	0	0	NUM
ejpam-5576	202	8			NOUN
ejpam-5576	202	9	given	give	VERB
ejpam-5576	202	10	the	the	DET
ejpam-5576	202	11	chaotic	chaotic	ADJ
ejpam-5576	202	12	nature	nature	NOUN
ejpam-5576	202	13	of	of	ADP
ejpam-5576	202	14	the	the	DET
ejpam-5576	202	15	system	system	NOUN
ejpam-5576	202	16	and	and	CCONJ
ejpam-5576	202	17	the	the	DET
ejpam-5576	202	18	bounded	bounded	ADJ
ejpam-5576	202	19	state	state	NOUN
ejpam-5576	202	20	variables	variable	NOUN
ejpam-5576	202	21	,	,	PUNCT
ejpam-5576	202	22	we	we	PRON
ejpam-5576	202	23	can	can	AUX
ejpam-5576	202	24	readily	readily	ADV
ejpam-5576	202	25	derive	derive	VERB
ejpam-5576	202	26	x⊤(t)g(x(t))x(t	x⊤(t)g(x(t))x(t	NOUN
ejpam-5576	202	27	)	)	PUNCT
ejpam-5576	202	28	=	=	PUNCT
ejpam-5576	203	1	x2x3x4	x2x3x4	PROPN
ejpam-5576	203	2	=	=	SYM
ejpam-5576	203	3	x2x3	x2x3	PROPN
ejpam-5576	204	1	x4	x4	PROPN
ejpam-5576	204	2	x24	x24	PROPN
ejpam-5576	204	3	⩽	⩽	PROPN
ejpam-5576	204	4	43x24	43x24	NUM
ejpam-5576	204	5	through	through	ADP
ejpam-5576	204	6	numerical	numerical	PROPN
ejpam-5576	204	7	simulation	simulation	PROPN
ejpam-5576	204	8	,	,	PUNCT
ejpam-5576	204	9	namely	namely	ADV
ejpam-5576	204	10	,	,	PUNCT
ejpam-5576	204	11	c	c	NOUN
ejpam-5576	204	12	=	=	SYM
ejpam-5576	204	13	43	43	NUM
ejpam-5576	204	14	.	.	PUNCT
ejpam-5576	205	1	therefore	therefore	ADV
ejpam-5576	205	2	,	,	PUNCT
ejpam-5576	205	3	if	if	SCONJ
ejpam-5576	205	4	the	the	DET
ejpam-5576	205	5	matrix	matrix	NOUN
ejpam-5576	205	6	s	s	PART
ejpam-5576	205	7	=	=	NOUN
ejpam-5576	205	8	λ⊤+λ	λ⊤+λ	SYM
ejpam-5576	205	9	2	2	NUM
ejpam-5576	205	10	−hi	−hi	NOUN
ejpam-5576	205	11	is	be	AUX
ejpam-5576	205	12	negative	negative	ADJ
ejpam-5576	205	13	definite	definite	ADJ
ejpam-5576	205	14	,	,	PUNCT
ejpam-5576	205	15	the	the	DET
ejpam-5576	205	16	system	system	NOUN
ejpam-5576	205	17	(	(	PUNCT
ejpam-5576	205	18	4.7	4.7	NUM
ejpam-5576	205	19	)	)	PUNCT
ejpam-5576	205	20	is	be	AUX
ejpam-5576	205	21	asymptotically	asymptotically	ADV
ejpam-5576	205	22	stable	stable	ADJ
ejpam-5576	205	23	.	.	PUNCT
ejpam-5576	206	1	the	the	DET
ejpam-5576	206	2	maximal	maximal	ADJ
ejpam-5576	206	3	eigenvalue	eigenvalue	NOUN
ejpam-5576	206	4	of	of	ADP
ejpam-5576	206	5	the	the	DET
ejpam-5576	206	6	matrix	matrix	NOUN
ejpam-5576	206	7	λ⊤+λ	λ⊤+λ	PUNCT
ejpam-5576	206	8	2	2	NUM
ejpam-5576	206	9	is	be	AUX
ejpam-5576	206	10	approximately	approximately	ADV
ejpam-5576	206	11	λmax	λmax	ADJ
ejpam-5576	206	12	≈	≈	PROPN
ejpam-5576	206	13	20	20	NUM
ejpam-5576	206	14	.	.	PUNCT
ejpam-5576	207	1	if	if	SCONJ
ejpam-5576	207	2	the	the	DET
ejpam-5576	207	3	feedback	feedback	NOUN
ejpam-5576	207	4	gain	gain	VERB
ejpam-5576	207	5	matrix	matrix	NOUN
ejpam-5576	207	6	h	h	NOUN
ejpam-5576	208	1	=	=	PUNCT
ejpam-5576	208	2	hi	hi	INTJ
ejpam-5576	208	3	meets	meet	VERB
ejpam-5576	208	4	the	the	DET
ejpam-5576	208	5	condition	condition	NOUN
ejpam-5576	208	6	>	>	X
ejpam-5576	208	7	63	63	NUM
ejpam-5576	208	8	,	,	PUNCT
ejpam-5576	208	9	the	the	DET
ejpam-5576	208	10	system	system	NOUN
ejpam-5576	208	11	is	be	AUX
ejpam-5576	208	12	asymptotically	asymptotically	ADV
ejpam-5576	208	13	stable	stable	ADJ
ejpam-5576	208	14	at	at	ADP
ejpam-5576	208	15	the	the	DET
ejpam-5576	208	16	origin	origin	NOUN
ejpam-5576	208	17	.	.	PUNCT
ejpam-5576	209	1	max	max	PROPN
ejpam-5576	209	2	width0.85	width0.85	PROPN
ejpam-5576	209	3	max	max	PROPN
ejpam-5576	209	4	width	width	NOUN
ejpam-5576	209	5	figure	figure	NOUN
ejpam-5576	209	6	1	1	NUM
ejpam-5576	209	7	:	:	PUNCT
ejpam-5576	209	8	chaotic	chaotic	ADJ
ejpam-5576	209	9	attractors	attractor	NOUN
ejpam-5576	209	10	in	in	ADP
ejpam-5576	209	11	the	the	DET
ejpam-5576	209	12	lorenz	lorenz	PROPN
ejpam-5576	209	13	system	system	NOUN
ejpam-5576	209	14	with	with	ADP
ejpam-5576	209	15	α	α	NOUN
ejpam-5576	209	16	=	=	SYM
ejpam-5576	209	17	1	1	NUM
ejpam-5576	209	18	and	and	CCONJ
ejpam-5576	209	19	chaotic	chaotic	ADJ
ejpam-5576	209	20	attractors	attractor	NOUN
ejpam-5576	209	21	in	in	ADP
ejpam-5576	209	22	the	the	DET
ejpam-5576	209	23	lorenz	lorenz	PROPN
ejpam-5576	209	24	system	system	NOUN
ejpam-5576	209	25	with	with	ADP
ejpam-5576	209	26	α	α	PROPN
ejpam-5576	209	27	=	=	SYM
ejpam-5576	209	28	0.94	0.94	NUM
ejpam-5576	209	29	,	,	PUNCT
ejpam-5576	209	30	respectively	respectively	ADV
ejpam-5576	209	31	.	.	PUNCT
ejpam-5576	210	1	t.	t.	PROPN
ejpam-5576	210	2	khalid	khalid	PROPN
ejpam-5576	210	3	/	/	SYM
ejpam-5576	210	4	eur	eur	PROPN
ejpam-5576	210	5	.	.	PUNCT
ejpam-5576	211	1	j.	j.	PROPN
ejpam-5576	211	2	pure	pure	PROPN
ejpam-5576	211	3	appl	appl	PROPN
ejpam-5576	211	4	.	.	PROPN
ejpam-5576	211	5	math	math	PROPN
ejpam-5576	211	6	,	,	PUNCT
ejpam-5576	211	7	18	18	NUM
ejpam-5576	211	8	(	(	PUNCT
ejpam-5576	211	9	1	1	NUM
ejpam-5576	211	10	)	)	PUNCT
ejpam-5576	211	11	(	(	PUNCT
ejpam-5576	211	12	2025	2025	NUM
ejpam-5576	211	13	)	)	PUNCT
ejpam-5576	211	14	,	,	PUNCT
ejpam-5576	211	15	5576	5576	NUM
ejpam-5576	211	16	10	10	NUM
ejpam-5576	211	17	of	of	ADP
ejpam-5576	211	18	16	16	NUM
ejpam-5576	211	19	figure	figure	NOUN
ejpam-5576	211	20	2	2	NUM
ejpam-5576	211	21	:	:	PUNCT
ejpam-5576	211	22	chaotic	chaotic	ADJ
ejpam-5576	211	23	attractors	attractor	NOUN
ejpam-5576	211	24	in	in	ADP
ejpam-5576	211	25	lü	lü	X
ejpam-5576	211	26	system	system	NOUN
ejpam-5576	211	27	with	with	ADP
ejpam-5576	211	28	α	α	NOUN
ejpam-5576	211	29	=	=	SYM
ejpam-5576	211	30	1	1	NUM
ejpam-5576	211	31	,	,	PUNCT
ejpam-5576	211	32	chaotic	chaotic	ADJ
ejpam-5576	211	33	attractors	attractor	NOUN
ejpam-5576	211	34	in	in	ADP
ejpam-5576	211	35	lü	lü	X
ejpam-5576	211	36	system	system	NOUN
ejpam-5576	211	37	with	with	ADP
ejpam-5576	211	38	α	α	PROPN
ejpam-5576	211	39	=	=	NOUN
ejpam-5576	211	40	0.94	0.94	NUM
ejpam-5576	211	41	.	.	PUNCT
ejpam-5576	212	1	t.	t.	PROPN
ejpam-5576	212	2	khalid	khalid	PROPN
ejpam-5576	212	3	/	/	SYM
ejpam-5576	212	4	eur	eur	PROPN
ejpam-5576	212	5	.	.	PUNCT
ejpam-5576	213	1	j.	j.	PROPN
ejpam-5576	213	2	pure	pure	PROPN
ejpam-5576	213	3	appl	appl	PROPN
ejpam-5576	213	4	.	.	PROPN
ejpam-5576	213	5	math	math	PROPN
ejpam-5576	213	6	,	,	PUNCT
ejpam-5576	213	7	18	18	NUM
ejpam-5576	213	8	(	(	PUNCT
ejpam-5576	213	9	1	1	NUM
ejpam-5576	213	10	)	)	PUNCT
ejpam-5576	213	11	(	(	PUNCT
ejpam-5576	213	12	2025	2025	NUM
ejpam-5576	213	13	)	)	PUNCT
ejpam-5576	213	14	,	,	PUNCT
ejpam-5576	213	15	5576	5576	NUM
ejpam-5576	213	16	11	11	NUM
ejpam-5576	213	17	of	of	ADP
ejpam-5576	213	18	16	16	NUM
ejpam-5576	213	19	figure	figure	NOUN
ejpam-5576	213	20	3	3	NUM
ejpam-5576	213	21	:	:	PUNCT
ejpam-5576	213	22	chaotic	chaotic	ADJ
ejpam-5576	213	23	attractors	attractor	NOUN
ejpam-5576	213	24	in	in	ADP
ejpam-5576	213	25	hyperchaotic	hyperchaotic	ADJ
ejpam-5576	213	26	chensystem	chensystem	NOUN
ejpam-5576	213	27	with	with	ADP
ejpam-5576	213	28	α	α	PROPN
ejpam-5576	213	29	=	=	SYM
ejpam-5576	213	30	1	1	NUM
ejpam-5576	213	31	,	,	PUNCT
ejpam-5576	213	32	chaotic	chaotic	ADJ
ejpam-5576	213	33	attractors	attractor	NOUN
ejpam-5576	213	34	in	in	ADP
ejpam-5576	213	35	hyperchaotic	hyperchaotic	ADJ
ejpam-5576	213	36	chen	chen	PROPN
ejpam-5576	213	37	system	system	NOUN
ejpam-5576	213	38	with	with	ADP
ejpam-5576	213	39	α	α	PROPN
ejpam-5576	213	40	=	=	PROPN
ejpam-5576	213	41	0.94	0.94	NUM
ejpam-5576	213	42	.	.	PUNCT
ejpam-5576	213	43	respectively	respectively	ADV
ejpam-5576	213	44	.	.	PUNCT
ejpam-5576	214	1	t.	t.	PROPN
ejpam-5576	214	2	khalid	khalid	PROPN
ejpam-5576	214	3	/	/	SYM
ejpam-5576	214	4	eur	eur	PROPN
ejpam-5576	214	5	.	.	PUNCT
ejpam-5576	215	1	j.	j.	PROPN
ejpam-5576	215	2	pure	pure	PROPN
ejpam-5576	215	3	appl	appl	PROPN
ejpam-5576	215	4	.	.	PROPN
ejpam-5576	215	5	math	math	PROPN
ejpam-5576	215	6	,	,	PUNCT
ejpam-5576	215	7	18	18	NUM
ejpam-5576	215	8	(	(	PUNCT
ejpam-5576	215	9	1	1	NUM
ejpam-5576	215	10	)	)	PUNCT
ejpam-5576	215	11	(	(	PUNCT
ejpam-5576	215	12	2025	2025	NUM
ejpam-5576	215	13	)	)	PUNCT
ejpam-5576	215	14	,	,	PUNCT
ejpam-5576	215	15	5576	5576	NUM
ejpam-5576	215	16	12	12	NUM
ejpam-5576	215	17	of	of	ADP
ejpam-5576	215	18	16	16	NUM
ejpam-5576	215	19	figure	figure	NOUN
ejpam-5576	215	20	4	4	NUM
ejpam-5576	215	21	:	:	PUNCT
ejpam-5576	215	22	time	time	NOUN
ejpam-5576	215	23	series	series	PROPN
ejpam-5576	215	24	considering	consider	VERB
ejpam-5576	215	25	a	a	DET
ejpam-5576	215	26	caputo	caputo	PROPN
ejpam-5576	215	27	lorenz	lorenz	PROPN
ejpam-5576	215	28	system	system	NOUN
ejpam-5576	215	29	withα	withα	AUX
ejpam-5576	215	30	=	=	SYM
ejpam-5576	215	31	1	1	NUM
ejpam-5576	215	32	and	and	CCONJ
ejpam-5576	215	33	time	time	NOUN
ejpam-5576	215	34	series	series	PROPN
ejpam-5576	215	35	considering	consider	VERB
ejpam-5576	215	36	a	a	DET
ejpam-5576	215	37	lü	lü	PUNCT
ejpam-5576	215	38	system	system	NOUN
ejpam-5576	215	39	system	system	NOUN
ejpam-5576	215	40	with	with	ADP
ejpam-5576	215	41	α	α	PROPN
ejpam-5576	215	42	=	=	SYM
ejpam-5576	215	43	0.94	0.94	NUM
ejpam-5576	215	44	respectively	respectively	ADV
ejpam-5576	215	45	figure	figure	NOUN
ejpam-5576	215	46	5	5	NUM
ejpam-5576	215	47	:	:	PUNCT
ejpam-5576	215	48	time	time	NOUN
ejpam-5576	215	49	series	series	PROPN
ejpam-5576	215	50	considering	consider	VERB
ejpam-5576	215	51	a	a	DET
ejpam-5576	215	52	lü	lü	PUNCT
ejpam-5576	215	53	system	system	NOUN
ejpam-5576	215	54	system	system	NOUN
ejpam-5576	215	55	withα	withα	ADJ
ejpam-5576	215	56	=	=	SYM
ejpam-5576	215	57	1	1	NUM
ejpam-5576	215	58	time	time	NOUN
ejpam-5576	215	59	series	series	NOUN
ejpam-5576	215	60	considering	consider	VERB
ejpam-5576	215	61	a	a	DET
ejpam-5576	215	62	lü	lü	PUNCT
ejpam-5576	215	63	system	system	NOUN
ejpam-5576	215	64	system	system	NOUN
ejpam-5576	215	65	with	with	ADP
ejpam-5576	215	66	α	α	PROPN
ejpam-5576	215	67	=	=	SYM
ejpam-5576	215	68	0.94	0.94	NUM
ejpam-5576	215	69	.	.	PUNCT
ejpam-5576	216	1	figure	figure	NOUN
ejpam-5576	216	2	6	6	NUM
ejpam-5576	216	3	:	:	PUNCT
ejpam-5576	216	4	time	time	NOUN
ejpam-5576	216	5	series	series	PROPN
ejpam-5576	216	6	considering	consider	VERB
ejpam-5576	216	7	a	a	DET
ejpam-5576	216	8	hyperchaotic	hyperchaotic	ADJ
ejpam-5576	216	9	chen	chen	PROPN
ejpam-5576	216	10	system	system	NOUN
ejpam-5576	216	11	system	system	NOUN
ejpam-5576	216	12	withα	withα	ADJ
ejpam-5576	216	13	=	=	SYM
ejpam-5576	216	14	1	1	NUM
ejpam-5576	216	15	time	time	NOUN
ejpam-5576	216	16	series	series	NOUN
ejpam-5576	216	17	considering	consider	VERB
ejpam-5576	216	18	a	a	DET
ejpam-5576	216	19	hyperchaotic	hyperchaotic	ADJ
ejpam-5576	216	20	chen	chen	PROPN
ejpam-5576	216	21	system	system	NOUN
ejpam-5576	216	22	system	system	NOUN
ejpam-5576	216	23	with	with	ADP
ejpam-5576	216	24	α	α	PROPN
ejpam-5576	216	25	=	=	NOUN
ejpam-5576	216	26	0.94	0.94	NUM
ejpam-5576	216	27	.	.	PUNCT
ejpam-5576	217	1	t.	t.	PROPN
ejpam-5576	217	2	khalid	khalid	PROPN
ejpam-5576	217	3	/	/	SYM
ejpam-5576	217	4	eur	eur	PROPN
ejpam-5576	217	5	.	.	PUNCT
ejpam-5576	218	1	j.	j.	PROPN
ejpam-5576	218	2	pure	pure	PROPN
ejpam-5576	218	3	appl	appl	PROPN
ejpam-5576	218	4	.	.	PROPN
ejpam-5576	218	5	math	math	PROPN
ejpam-5576	218	6	,	,	PUNCT
ejpam-5576	218	7	18	18	NUM
ejpam-5576	218	8	(	(	PUNCT
ejpam-5576	218	9	1	1	NUM
ejpam-5576	218	10	)	)	PUNCT
ejpam-5576	218	11	(	(	PUNCT
ejpam-5576	218	12	2025	2025	NUM
ejpam-5576	218	13	)	)	PUNCT
ejpam-5576	218	14	,	,	PUNCT
ejpam-5576	218	15	5576	5576	NUM
ejpam-5576	218	16	13	13	NUM
ejpam-5576	218	17	of	of	ADP
ejpam-5576	218	18	16	16	NUM
ejpam-5576	218	19	5	5	NUM
ejpam-5576	218	20	.	.	PUNCT
ejpam-5576	218	21	conclusion	conclusion	VERB
ejpam-5576	218	22	the	the	DET
ejpam-5576	218	23	paper	paper	NOUN
ejpam-5576	218	24	comprehensively	comprehensively	ADV
ejpam-5576	218	25	investigates	investigate	VERB
ejpam-5576	218	26	the	the	DET
ejpam-5576	218	27	synchronization	synchronization	NOUN
ejpam-5576	218	28	of	of	ADP
ejpam-5576	218	29	lorenz	lorenz	PROPN
ejpam-5576	218	30	and	and	CCONJ
ejpam-5576	218	31	liu	liu	PROPN
ejpam-5576	218	32	systems	system	NOUN
ejpam-5576	218	33	,	,	PUNCT
ejpam-5576	218	34	and	and	CCONJ
ejpam-5576	218	35	establishes	establish	VERB
ejpam-5576	218	36	a	a	DET
ejpam-5576	218	37	framework	framework	NOUN
ejpam-5576	218	38	for	for	ADP
ejpam-5576	218	39	understanding	understand	VERB
ejpam-5576	218	40	their	their	PRON
ejpam-5576	218	41	dynamics	dynamic	NOUN
ejpam-5576	218	42	using	use	VERB
ejpam-5576	218	43	a	a	DET
ejpam-5576	218	44	unified	unified	ADJ
ejpam-5576	218	45	chaotic	chaotic	ADJ
ejpam-5576	218	46	system	system	NOUN
ejpam-5576	218	47	.	.	PUNCT
ejpam-5576	219	1	fractal	fractal	ADJ
ejpam-5576	219	2	superchain	superchain	NOUN
ejpam-5576	219	3	systems	system	NOUN
ejpam-5576	219	4	(	(	PUNCT
ejpam-5576	219	5	fhcs	fhcs	PROPN
ejpam-5576	219	6	)	)	PUNCT
ejpam-5576	219	7	are	be	AUX
ejpam-5576	219	8	used	use	VERB
ejpam-5576	219	9	as	as	ADP
ejpam-5576	219	10	a	a	DET
ejpam-5576	219	11	framework	framework	NOUN
ejpam-5576	219	12	for	for	ADP
ejpam-5576	219	13	analyzing	analyze	VERB
ejpam-5576	219	14	complex	complex	ADJ
ejpam-5576	219	15	systems	system	NOUN
ejpam-5576	219	16	characterized	characterize	VERB
ejpam-5576	219	17	by	by	ADP
ejpam-5576	219	18	fractal	fractal	ADJ
ejpam-5576	219	19	dynamics	dynamic	NOUN
ejpam-5576	219	20	and	and	CCONJ
ejpam-5576	219	21	highly	highly	ADV
ejpam-5576	219	22	ordered	order	VERB
ejpam-5576	219	23	interactions[9	interactions[9	ADP
ejpam-5576	219	24	]	]	PUNCT
ejpam-5576	219	25	.	.	PUNCT
ejpam-5576	220	1	it	it	PRON
ejpam-5576	220	2	is	be	AUX
ejpam-5576	220	3	shown	show	VERB
ejpam-5576	220	4	that	that	SCONJ
ejpam-5576	220	5	the	the	DET
ejpam-5576	220	6	lowest	low	ADJ
ejpam-5576	220	7	fractal	fractal	ADJ
ejpam-5576	220	8	order	order	NOUN
ejpam-5576	220	9	is	be	AUX
ejpam-5576	220	10	necessary	necessary	ADJ
ejpam-5576	220	11	to	to	PART
ejpam-5576	220	12	achieve	achieve	VERB
ejpam-5576	220	13	superchaos	superchaos	NOUN
ejpam-5576	220	14	,	,	PUNCT
ejpam-5576	220	15	highlighting	highlight	VERB
ejpam-5576	220	16	the	the	DET
ejpam-5576	220	17	importance	importance	NOUN
ejpam-5576	220	18	of	of	ADP
ejpam-5576	220	19	initial	initial	ADJ
ejpam-5576	220	20	conditions	condition	NOUN
ejpam-5576	220	21	in	in	ADP
ejpam-5576	220	22	influencing	influence	VERB
ejpam-5576	220	23	the	the	DET
ejpam-5576	220	24	behavior	behavior	NOUN
ejpam-5576	220	25	of	of	ADP
ejpam-5576	220	26	the	the	DET
ejpam-5576	220	27	system	system	NOUN
ejpam-5576	220	28	.	.	PUNCT
ejpam-5576	221	1	the	the	DET
ejpam-5576	221	2	results	result	NOUN
ejpam-5576	221	3	improve	improve	VERB
ejpam-5576	221	4	the	the	DET
ejpam-5576	221	5	understanding	understanding	NOUN
ejpam-5576	221	6	and	and	CCONJ
ejpam-5576	221	7	stability	stability	NOUN
ejpam-5576	221	8	of	of	ADP
ejpam-5576	221	9	chaotic	chaotic	ADJ
ejpam-5576	221	10	systems	system	NOUN
ejpam-5576	221	11	.	.	PUNCT
ejpam-5576	222	1	this	this	PRON
ejpam-5576	222	2	indicates	indicate	VERB
ejpam-5576	222	3	the	the	DET
ejpam-5576	222	4	chaotic	chaotic	ADJ
ejpam-5576	222	5	character	character	NOUN
ejpam-5576	222	6	of	of	ADP
ejpam-5576	222	7	the	the	DET
ejpam-5576	222	8	system	system	NOUN
ejpam-5576	222	9	and	and	CCONJ
ejpam-5576	222	10	its	its	PRON
ejpam-5576	222	11	use	use	NOUN
ejpam-5576	222	12	in	in	ADP
ejpam-5576	222	13	chaos	chaos	NOUN
ejpam-5576	222	14	control[42][44	control[42][44	PROPN
ejpam-5576	222	15	]	]	X
ejpam-5576	222	16	.	.	PUNCT
ejpam-5576	223	1	the	the	DET
ejpam-5576	223	2	results	result	NOUN
ejpam-5576	223	3	demonstrate	demonstrate	VERB
ejpam-5576	223	4	the	the	DET
ejpam-5576	223	5	potential	potential	NOUN
ejpam-5576	223	6	for	for	ADP
ejpam-5576	223	7	better	well	ADJ
ejpam-5576	223	8	analysis	analysis	NOUN
ejpam-5576	223	9	of	of	ADP
ejpam-5576	223	10	system	system	NOUN
ejpam-5576	223	11	models	model	NOUN
ejpam-5576	223	12	and	and	CCONJ
ejpam-5576	223	13	identification	identification	NOUN
ejpam-5576	223	14	of	of	ADP
ejpam-5576	223	15	attractor	attractor	NOUN
ejpam-5576	223	16	chaos	chaos	NOUN
ejpam-5576	223	17	and	and	CCONJ
ejpam-5576	223	18	hybrid	hybrid	NOUN
ejpam-5576	223	19	systems	system	NOUN
ejpam-5576	223	20	that	that	PRON
ejpam-5576	223	21	integrate	integrate	VERB
ejpam-5576	223	22	fractal	fractal	ADJ
ejpam-5576	223	23	chaotic	chaotic	ADJ
ejpam-5576	223	24	dynamics	dynamic	NOUN
ejpam-5576	223	25	and	and	CCONJ
ejpam-5576	223	26	neural	neural	ADJ
ejpam-5576	223	27	networks	network	NOUN
ejpam-5576	223	28	for	for	ADP
ejpam-5576	223	29	control	control	NOUN
ejpam-5576	223	30	and	and	CCONJ
ejpam-5576	223	31	prediction	prediction	NOUN
ejpam-5576	223	32	purposes	purpose	NOUN
ejpam-5576	223	33	.	.	PUNCT
ejpam-5576	224	1	thus	thus	ADV
ejpam-5576	224	2	,	,	PUNCT
ejpam-5576	224	3	the	the	DET
ejpam-5576	224	4	proposed	propose	VERB
ejpam-5576	224	5	methods	method	NOUN
ejpam-5576	224	6	can	can	AUX
ejpam-5576	224	7	be	be	AUX
ejpam-5576	224	8	used	use	VERB
ejpam-5576	224	9	for	for	ADP
ejpam-5576	224	10	other	other	ADJ
ejpam-5576	224	11	systems	system	NOUN
ejpam-5576	224	12	to	to	PART
ejpam-5576	224	13	obtain	obtain	VERB
ejpam-5576	224	14	more	more	ADV
ejpam-5576	224	15	accurate	accurate	ADJ
ejpam-5576	224	16	results	result	NOUN
ejpam-5576	224	17	.	.	PUNCT
ejpam-5576	225	1	these	these	DET
ejpam-5576	225	2	methods	method	NOUN
ejpam-5576	225	3	can	can	AUX
ejpam-5576	225	4	provide	provide	VERB
ejpam-5576	225	5	numerical	numerical	ADJ
ejpam-5576	225	6	simulations	simulation	NOUN
ejpam-5576	225	7	and	and	CCONJ
ejpam-5576	225	8	model	model	NOUN
ejpam-5576	225	9	solutions	solution	NOUN
ejpam-5576	225	10	,	,	PUNCT
ejpam-5576	225	11	which	which	PRON
ejpam-5576	225	12	enhance	enhance	VERB
ejpam-5576	225	13	the	the	DET
ejpam-5576	225	14	control	control	NOUN
ejpam-5576	225	15	and	and	CCONJ
ejpam-5576	225	16	reliability	reliability	NOUN
ejpam-5576	225	17	for	for	ADP
ejpam-5576	225	18	future	future	ADJ
ejpam-5576	225	19	research	research	NOUN
ejpam-5576	225	20	and	and	CCONJ
ejpam-5576	225	21	engineering	engineering	NOUN
ejpam-5576	225	22	applications[28][2	applications[28][2	PROPN
ejpam-5576	225	23	]	]	PUNCT
ejpam-5576	225	24	.	.	PUNCT
ejpam-5576	226	1	references	reference	NOUN
ejpam-5576	226	2	[	[	X
ejpam-5576	226	3	1	1	NUM
ejpam-5576	226	4	]	]	X
ejpam-5576	226	5	norelys	norelys	PROPN
ejpam-5576	226	6	aguila	aguila	PROPN
ejpam-5576	226	7	-	-	PUNCT
ejpam-5576	226	8	camacho	camacho	PROPN
ejpam-5576	226	9	,	,	PUNCT
ejpam-5576	226	10	manuel	manuel	VERB
ejpam-5576	226	11	a	a	DET
ejpam-5576	226	12	duarte	duarte	PROPN
ejpam-5576	226	13	-	-	PUNCT
ejpam-5576	226	14	mermoud	mermoud	PROPN
ejpam-5576	226	15	,	,	PUNCT
ejpam-5576	226	16	and	and	CCONJ
ejpam-5576	226	17	javier	javier	PROPN
ejpam-5576	226	18	a	a	DET
ejpam-5576	226	19	gallegos	gallegos	PROPN
ejpam-5576	226	20	.	.	PUNCT
ejpam-5576	227	1	lyapunov	lyapunov	NOUN
ejpam-5576	227	2	functions	function	NOUN
ejpam-5576	227	3	for	for	ADP
ejpam-5576	227	4	fractional	fractional	ADJ
ejpam-5576	227	5	order	order	NOUN
ejpam-5576	227	6	systems	system	NOUN
ejpam-5576	227	7	.	.	PUNCT
ejpam-5576	228	1	communications	communication	NOUN
ejpam-5576	228	2	in	in	ADP
ejpam-5576	228	3	nonlinear	nonlinear	ADJ
ejpam-5576	228	4	science	science	NOUN
ejpam-5576	228	5	and	and	CCONJ
ejpam-5576	228	6	numerical	numerical	PROPN
ejpam-5576	228	7	simulation	simulation	PROPN
ejpam-5576	228	8	,	,	PUNCT
ejpam-5576	228	9	19(9):2951–2957	19(9):2951–2957	NUM
ejpam-5576	228	10	,	,	PUNCT
ejpam-5576	228	11	2014	2014	NUM
ejpam-5576	228	12	.	.	PUNCT
ejpam-5576	229	1	[	[	X
ejpam-5576	229	2	2	2	NUM
ejpam-5576	229	3	]	]	PUNCT
ejpam-5576	229	4	salah	salah	PROPN
ejpam-5576	229	5	h	h	PROPN
ejpam-5576	229	6	alshabhi	alshabhi	PROPN
ejpam-5576	229	7	,	,	PUNCT
ejpam-5576	229	8	om	om	PROPN
ejpam-5576	229	9	kalthum	kalthum	NOUN
ejpam-5576	229	10	sk	sk	PROPN
ejpam-5576	229	11	mohamed	mohamed	PROPN
ejpam-5576	229	12	,	,	PUNCT
ejpam-5576	229	13	mustafa	mustafa	PROPN
ejpam-5576	229	14	m	m	PROPN
ejpam-5576	229	15	mohammed	mohammed	PROPN
ejpam-5576	229	16	,	,	PUNCT
ejpam-5576	229	17	thwiba	thwiba	PROPN
ejpam-5576	229	18	a	a	DET
ejpam-5576	229	19	khalid	khalid	PROPN
ejpam-5576	229	20	,	,	PUNCT
ejpam-5576	229	21	arafa	arafa	NOUN
ejpam-5576	229	22	o	o	PROPN
ejpam-5576	229	23	mustafa	mustafa	PROPN
ejpam-5576	229	24	,	,	PUNCT
ejpam-5576	229	25	mona	mona	PROPN
ejpam-5576	229	26	magzoub	magzoub	PROPN
ejpam-5576	229	27	,	,	PUNCT
ejpam-5576	229	28	khdija	khdija	PROPN
ejpam-5576	229	29	o	o	X
ejpam-5576	229	30	taha	taha	PROPN
ejpam-5576	229	31	,	,	PUNCT
ejpam-5576	229	32	and	and	CCONJ
ejpam-5576	229	33	awad	awad	VERB
ejpam-5576	229	34	a	a	DET
ejpam-5576	229	35	bakery	bakery	NOUN
ejpam-5576	229	36	.	.	PUNCT
ejpam-5576	230	1	decision	decision	NOUN
ejpam-5576	230	2	-	-	PUNCT
ejpam-5576	230	3	making	making	NOUN
ejpam-5576	230	4	of	of	ADP
ejpam-5576	230	5	fredholm	fredholm	NOUN
ejpam-5576	230	6	operator	operator	NOUN
ejpam-5576	230	7	on	on	ADP
ejpam-5576	230	8	a	a	DET
ejpam-5576	230	9	new	new	ADJ
ejpam-5576	230	10	variable	variable	ADJ
ejpam-5576	230	11	exponents	exponent	NOUN
ejpam-5576	230	12	sequence	sequence	NOUN
ejpam-5576	230	13	space	space	NOUN
ejpam-5576	230	14	of	of	ADP
ejpam-5576	230	15	supply	supply	NOUN
ejpam-5576	230	16	fuzzy	fuzzy	ADJ
ejpam-5576	230	17	functions	function	NOUN
ejpam-5576	230	18	defined	define	VERB
ejpam-5576	230	19	by	by	ADP
ejpam-5576	230	20	leonardo	leonardo	PROPN
ejpam-5576	230	21	numbers	number	NOUN
ejpam-5576	230	22	.	.	PUNCT
ejpam-5576	231	1	contemporary	contemporary	ADJ
ejpam-5576	231	2	mathematics	mathematic	NOUN
ejpam-5576	231	3	,	,	PUNCT
ejpam-5576	231	4	pages	page	NOUN
ejpam-5576	231	5	5534–5545	5534–5545	NUM
ejpam-5576	231	6	,	,	PUNCT
ejpam-5576	231	7	2024	2024	NUM
ejpam-5576	231	8	.	.	PUNCT
ejpam-5576	232	1	[	[	X
ejpam-5576	232	2	3	3	NUM
ejpam-5576	232	3	]	]	PUNCT
ejpam-5576	232	4	lamees	lame	VERB
ejpam-5576	232	5	k	k	PROPN
ejpam-5576	232	6	alzaki	alzaki	PROPN
ejpam-5576	232	7	and	and	CCONJ
ejpam-5576	232	8	hassan	hassan	PROPN
ejpam-5576	232	9	kamil	kamil	PROPN
ejpam-5576	232	10	jassim	jassim	PROPN
ejpam-5576	232	11	.	.	PUNCT
ejpam-5576	233	1	the	the	DET
ejpam-5576	233	2	approximate	approximate	ADJ
ejpam-5576	233	3	analytical	analytical	ADJ
ejpam-5576	233	4	solutions	solution	NOUN
ejpam-5576	233	5	of	of	ADP
ejpam-5576	233	6	nonlinear	nonlinear	ADJ
ejpam-5576	233	7	fractional	fractional	ADJ
ejpam-5576	233	8	ordinary	ordinary	ADJ
ejpam-5576	233	9	differential	differential	ADJ
ejpam-5576	233	10	equations	equation	NOUN
ejpam-5576	233	11	.	.	PUNCT
ejpam-5576	234	1	international	international	ADJ
ejpam-5576	234	2	journal	journal	PROPN
ejpam-5576	234	3	of	of	ADP
ejpam-5576	234	4	nonlinear	nonlinear	ADJ
ejpam-5576	234	5	analysis	analysis	NOUN
ejpam-5576	234	6	and	and	CCONJ
ejpam-5576	234	7	applications	application	NOUN
ejpam-5576	234	8	,	,	PUNCT
ejpam-5576	234	9	12(2):527–535	12(2):527–535	NUM
ejpam-5576	234	10	,	,	PUNCT
ejpam-5576	234	11	2021	2021	NUM
ejpam-5576	234	12	.	.	PUNCT
ejpam-5576	235	1	[	[	X
ejpam-5576	235	2	4	4	X
ejpam-5576	235	3	]	]	X
ejpam-5576	235	4	hongli	hongli	X
ejpam-5576	235	5	an	an	PROPN
ejpam-5576	235	6	,	,	PUNCT
ejpam-5576	235	7	dali	dali	PROPN
ejpam-5576	235	8	feng	feng	PROPN
ejpam-5576	235	9	,	,	PUNCT
ejpam-5576	235	10	li	li	PROPN
ejpam-5576	235	11	sun	sun	PROPN
ejpam-5576	235	12	,	,	PUNCT
ejpam-5576	235	13	and	and	CCONJ
ejpam-5576	235	14	haixing	haixe	VERB
ejpam-5576	235	15	zhu	zhu	PROPN
ejpam-5576	235	16	.	.	PUNCT
ejpam-5576	236	1	the	the	DET
ejpam-5576	236	2	fractional	fractional	ADJ
ejpam-5576	236	3	-	-	PUNCT
ejpam-5576	236	4	order	order	NOUN
ejpam-5576	236	5	unified	unified	ADJ
ejpam-5576	236	6	chaotic	chaotic	ADJ
ejpam-5576	236	7	system	system	NOUN
ejpam-5576	236	8	:	:	PUNCT
ejpam-5576	236	9	a	a	DET
ejpam-5576	236	10	general	general	ADJ
ejpam-5576	236	11	cascade	cascade	NOUN
ejpam-5576	236	12	synchronization	synchronization	NOUN
ejpam-5576	236	13	method	method	NOUN
ejpam-5576	236	14	and	and	CCONJ
ejpam-5576	236	15	application	application	NOUN
ejpam-5576	236	16	.	.	PUNCT
ejpam-5576	237	1	aims	aim	VERB
ejpam-5576	237	2	mathematics	mathematic	NOUN
ejpam-5576	237	3	,	,	PUNCT
ejpam-5576	237	4	5(5):4345–4356	5(5):4345–4356	PROPN
ejpam-5576	237	5	,	,	PUNCT
ejpam-5576	237	6	2020	2020	NUM
ejpam-5576	237	7	.	.	PUNCT
ejpam-5576	238	1	[	[	X
ejpam-5576	238	2	5	5	NUM
ejpam-5576	238	3	]	]	X
ejpam-5576	238	4	dumitru	dumitru	PROPN
ejpam-5576	238	5	baleanu	baleanu	PROPN
ejpam-5576	238	6	,	,	PUNCT
ejpam-5576	238	7	kai	kai	PROPN
ejpam-5576	238	8	diethelm	diethelm	PROPN
ejpam-5576	238	9	,	,	PUNCT
ejpam-5576	238	10	enrico	enrico	PROPN
ejpam-5576	238	11	scalas	scalas	PROPN
ejpam-5576	238	12	,	,	PUNCT
ejpam-5576	238	13	and	and	CCONJ
ejpam-5576	238	14	juan	juan	PROPN
ejpam-5576	238	15	j	j	PROPN
ejpam-5576	238	16	trujillo	trujillo	PROPN
ejpam-5576	238	17	.	.	PUNCT
ejpam-5576	238	18	fractional	fractional	ADJ
ejpam-5576	238	19	calculus	calculus	NOUN
ejpam-5576	238	20	:	:	PUNCT
ejpam-5576	238	21	models	model	NOUN
ejpam-5576	238	22	and	and	CCONJ
ejpam-5576	238	23	numerical	numerical	ADJ
ejpam-5576	238	24	methods	method	NOUN
ejpam-5576	238	25	,	,	PUNCT
ejpam-5576	238	26	volume	volume	NOUN
ejpam-5576	238	27	3	3	NUM
ejpam-5576	238	28	.	.	PUNCT
ejpam-5576	238	29	world	world	PROPN
ejpam-5576	238	30	scientific	scientific	ADJ
ejpam-5576	238	31	,	,	PUNCT
ejpam-5576	238	32	2012	2012	NUM
ejpam-5576	238	33	.	.	PUNCT
ejpam-5576	239	1	[	[	X
ejpam-5576	239	2	6	6	NUM
ejpam-5576	239	3	]	]	X
ejpam-5576	239	4	mohammad	mohammad	PROPN
ejpam-5576	239	5	ahmadi	ahmadi	PROPN
ejpam-5576	239	6	balootaki	balootaki	PROPN
ejpam-5576	239	7	,	,	PUNCT
ejpam-5576	239	8	hossein	hossein	PROPN
ejpam-5576	239	9	rahmani	rahmani	PROPN
ejpam-5576	239	10	,	,	PUNCT
ejpam-5576	239	11	hossein	hossein	PROPN
ejpam-5576	239	12	moeinkhah	moeinkhah	PROPN
ejpam-5576	239	13	,	,	PUNCT
ejpam-5576	239	14	and	and	CCONJ
ejpam-5576	239	15	ardashir	ardashir	PROPN
ejpam-5576	239	16	mohammadzadeh	mohammadzadeh	PROPN
ejpam-5576	239	17	.	.	PUNCT
ejpam-5576	240	1	on	on	ADP
ejpam-5576	240	2	the	the	DET
ejpam-5576	240	3	synchronization	synchronization	NOUN
ejpam-5576	240	4	and	and	CCONJ
ejpam-5576	240	5	stabilization	stabilization	NOUN
ejpam-5576	240	6	of	of	ADP
ejpam-5576	240	7	fractional	fractional	ADJ
ejpam-5576	240	8	-	-	PUNCT
ejpam-5576	240	9	order	order	NOUN
ejpam-5576	240	10	chaotic	chaotic	ADJ
ejpam-5576	240	11	systems	system	NOUN
ejpam-5576	240	12	:	:	PUNCT
ejpam-5576	240	13	recent	recent	ADJ
ejpam-5576	240	14	advances	advance	NOUN
ejpam-5576	240	15	and	and	CCONJ
ejpam-5576	240	16	future	future	ADJ
ejpam-5576	240	17	perspectives	perspective	NOUN
ejpam-5576	240	18	.	.	PUNCT
ejpam-5576	241	1	physica	physica	VERB
ejpam-5576	241	2	a	a	DET
ejpam-5576	241	3	:	:	PUNCT
ejpam-5576	241	4	statistical	statistical	ADJ
ejpam-5576	241	5	mechanics	mechanic	NOUN
ejpam-5576	241	6	and	and	CCONJ
ejpam-5576	241	7	its	its	PRON
ejpam-5576	241	8	applications	application	NOUN
ejpam-5576	241	9	,	,	PUNCT
ejpam-5576	241	10	551:124203	551:124203	NUM
ejpam-5576	241	11	,	,	PUNCT
ejpam-5576	241	12	2020	2020	NUM
ejpam-5576	241	13	.	.	PUNCT
ejpam-5576	242	1	[	[	X
ejpam-5576	242	2	7	7	NUM
ejpam-5576	242	3	]	]	PUNCT
ejpam-5576	242	4	adnane	adnane	PROPN
ejpam-5576	242	5	boukhouima	boukhouima	PROPN
ejpam-5576	242	6	,	,	PUNCT
ejpam-5576	242	7	houssine	houssine	ADJ
ejpam-5576	242	8	zine	zine	NOUN
ejpam-5576	242	9	,	,	PUNCT
ejpam-5576	242	10	el	el	PROPN
ejpam-5576	242	11	mehdi	mehdi	PROPN
ejpam-5576	242	12	lotfi	lotfi	PROPN
ejpam-5576	242	13	,	,	PUNCT
ejpam-5576	242	14	marouane	marouane	PROPN
ejpam-5576	242	15	mahrouf	mahrouf	PROPN
ejpam-5576	242	16	,	,	PUNCT
ejpam-5576	242	17	delfim	delfim	PROPN
ejpam-5576	242	18	fm	fm	PROPN
ejpam-5576	242	19	torres	torre	NOUN
ejpam-5576	242	20	,	,	PUNCT
ejpam-5576	242	21	and	and	CCONJ
ejpam-5576	242	22	noura	noura	NOUN
ejpam-5576	242	23	yousfi	yousfi	NOUN
ejpam-5576	242	24	.	.	PUNCT
ejpam-5576	243	1	lyapunov	lyapunov	ADJ
ejpam-5576	243	2	functions	function	NOUN
ejpam-5576	243	3	and	and	CCONJ
ejpam-5576	243	4	stability	stability	NOUN
ejpam-5576	243	5	analysis	analysis	NOUN
ejpam-5576	243	6	of	of	ADP
ejpam-5576	243	7	fractionalorder	fractionalorder	NOUN
ejpam-5576	243	8	systems	system	NOUN
ejpam-5576	243	9	.	.	PUNCT
ejpam-5576	244	1	in	in	ADP
ejpam-5576	244	2	mathematical	mathematical	ADJ
ejpam-5576	244	3	analysis	analysis	NOUN
ejpam-5576	244	4	of	of	ADP
ejpam-5576	244	5	infectious	infectious	ADJ
ejpam-5576	244	6	diseases	disease	NOUN
ejpam-5576	244	7	,	,	PUNCT
ejpam-5576	244	8	pages	page	NOUN
ejpam-5576	244	9	125–136	125–136	NUM
ejpam-5576	244	10	.	.	PUNCT
ejpam-5576	245	1	elsevier	elsevier	NOUN
ejpam-5576	245	2	,	,	PUNCT
ejpam-5576	245	3	2022	2022	NUM
ejpam-5576	245	4	.	.	PUNCT
ejpam-5576	246	1	[	[	X
ejpam-5576	246	2	8	8	NUM
ejpam-5576	246	3	]	]	PUNCT
ejpam-5576	246	4	s	s	AUX
ejpam-5576	246	5	bourafa	bourafa	VERB
ejpam-5576	246	6	,	,	PUNCT
ejpam-5576	246	7	ms	ms	PROPN
ejpam-5576	246	8	abdelouahab	abdelouahab	PROPN
ejpam-5576	246	9	,	,	PUNCT
ejpam-5576	246	10	and	and	CCONJ
ejpam-5576	246	11	a	a	DET
ejpam-5576	246	12	moussaoui	moussaoui	NOUN
ejpam-5576	246	13	.	.	PUNCT
ejpam-5576	247	1	on	on	ADP
ejpam-5576	247	2	some	some	DET
ejpam-5576	247	3	extended	extend	VERB
ejpam-5576	247	4	routh	routh	PROPN
ejpam-5576	247	5	–	–	PUNCT
ejpam-5576	247	6	hurwitz	hurwitz	PROPN
ejpam-5576	247	7	t.	t.	PROPN
ejpam-5576	247	8	khalid	khalid	PROPN
ejpam-5576	247	9	/	/	SYM
ejpam-5576	247	10	eur	eur	PROPN
ejpam-5576	247	11	.	.	PUNCT
ejpam-5576	248	1	j.	j.	PROPN
ejpam-5576	248	2	pure	pure	PROPN
ejpam-5576	248	3	appl	appl	PROPN
ejpam-5576	248	4	.	.	PROPN
ejpam-5576	248	5	math	math	PROPN
ejpam-5576	248	6	,	,	PUNCT
ejpam-5576	248	7	18	18	NUM
ejpam-5576	248	8	(	(	PUNCT
ejpam-5576	248	9	1	1	NUM
ejpam-5576	248	10	)	)	PUNCT
ejpam-5576	248	11	(	(	PUNCT
ejpam-5576	248	12	2025	2025	NUM
ejpam-5576	248	13	)	)	PUNCT
ejpam-5576	248	14	,	,	PUNCT
ejpam-5576	248	15	5576	5576	NUM
ejpam-5576	248	16	14	14	NUM
ejpam-5576	248	17	of	of	ADP
ejpam-5576	248	18	16	16	NUM
ejpam-5576	248	19	conditions	condition	NOUN
ejpam-5576	248	20	for	for	ADP
ejpam-5576	248	21	fractional	fractional	ADJ
ejpam-5576	248	22	-	-	PUNCT
ejpam-5576	248	23	order	order	NOUN
ejpam-5576	248	24	autonomous	autonomous	ADJ
ejpam-5576	248	25	systems	system	NOUN
ejpam-5576	248	26	of	of	ADP
ejpam-5576	248	27	order	order	NOUN
ejpam-5576	248	28	α(0	α(0	PROPN
ejpam-5576	248	29	,	,	PUNCT
ejpam-5576	248	30	2	2	NUM
ejpam-5576	248	31	)	)	PUNCT
ejpam-5576	248	32	and	and	CCONJ
ejpam-5576	248	33	their	their	PRON
ejpam-5576	248	34	applications	application	NOUN
ejpam-5576	248	35	to	to	ADP
ejpam-5576	248	36	some	some	DET
ejpam-5576	248	37	population	population	NOUN
ejpam-5576	248	38	dynamic	dynamic	ADJ
ejpam-5576	248	39	models	model	NOUN
ejpam-5576	248	40	.	.	PUNCT
ejpam-5576	249	1	chaos	chaos	NOUN
ejpam-5576	249	2	,	,	PUNCT
ejpam-5576	249	3	solitons	soliton	NOUN
ejpam-5576	249	4	&	&	CCONJ
ejpam-5576	249	5	fractals	fractal	NOUN
ejpam-5576	249	6	,	,	PUNCT
ejpam-5576	249	7	133:109623	133:109623	NUM
ejpam-5576	249	8	,	,	PUNCT
ejpam-5576	249	9	2020	2020	NUM
ejpam-5576	249	10	.	.	PUNCT
ejpam-5576	250	1	[	[	X
ejpam-5576	250	2	9	9	NUM
ejpam-5576	250	3	]	]	X
ejpam-5576	250	4	liang	liang	PROPN
ejpam-5576	250	5	chen	chen	PROPN
ejpam-5576	250	6	,	,	PUNCT
ejpam-5576	250	7	chengdai	chengdai	PROPN
ejpam-5576	250	8	huang	huang	PROPN
ejpam-5576	250	9	,	,	PUNCT
ejpam-5576	250	10	haidong	haidong	PROPN
ejpam-5576	250	11	liu	liu	PROPN
ejpam-5576	250	12	,	,	PUNCT
ejpam-5576	250	13	and	and	CCONJ
ejpam-5576	250	14	yonghui	yonghui	PROPN
ejpam-5576	250	15	xia	xia	PROPN
ejpam-5576	250	16	.	.	PUNCT
ejpam-5576	251	1	anti	anti	ADJ
ejpam-5576	251	2	-	-	NOUN
ejpam-5576	251	3	synchronization	synchronization	NOUN
ejpam-5576	251	4	of	of	ADP
ejpam-5576	251	5	a	a	DET
ejpam-5576	251	6	class	class	NOUN
ejpam-5576	251	7	of	of	ADP
ejpam-5576	251	8	chaotic	chaotic	ADJ
ejpam-5576	251	9	systems	system	NOUN
ejpam-5576	251	10	with	with	ADP
ejpam-5576	251	11	application	application	NOUN
ejpam-5576	251	12	to	to	ADP
ejpam-5576	251	13	lorenz	lorenz	PROPN
ejpam-5576	251	14	system	system	PROPN
ejpam-5576	251	15	:	:	PUNCT
ejpam-5576	251	16	a	a	DET
ejpam-5576	251	17	unified	unified	ADJ
ejpam-5576	251	18	analysis	analysis	NOUN
ejpam-5576	251	19	of	of	ADP
ejpam-5576	251	20	the	the	DET
ejpam-5576	251	21	integer	integer	NOUN
ejpam-5576	251	22	order	order	NOUN
ejpam-5576	251	23	and	and	CCONJ
ejpam-5576	251	24	fractional	fractional	ADJ
ejpam-5576	251	25	order	order	NOUN
ejpam-5576	251	26	.	.	PUNCT
ejpam-5576	252	1	mathematics	mathematic	NOUN
ejpam-5576	252	2	,	,	PUNCT
ejpam-5576	252	3	7(6):559	7(6):559	NUM
ejpam-5576	252	4	,	,	PUNCT
ejpam-5576	252	5	2019	2019	NUM
ejpam-5576	252	6	.	.	PUNCT
ejpam-5576	253	1	[	[	X
ejpam-5576	253	2	10	10	NUM
ejpam-5576	253	3	]	]	X
ejpam-5576	253	4	ping	ping	NOUN
ejpam-5576	253	5	cui	cui	NOUN
ejpam-5576	253	6	and	and	CCONJ
ejpam-5576	253	7	hassan	hassan	PROPN
ejpam-5576	253	8	kamil	kamil	PROPN
ejpam-5576	253	9	jassim	jassim	PROPN
ejpam-5576	253	10	.	.	PUNCT
ejpam-5576	254	1	local	local	ADJ
ejpam-5576	254	2	fractional	fractional	ADJ
ejpam-5576	254	3	sumudu	sumudu	NOUN
ejpam-5576	254	4	decomposition	decomposition	NOUN
ejpam-5576	254	5	method	method	NOUN
ejpam-5576	254	6	to	to	PART
ejpam-5576	254	7	solve	solve	VERB
ejpam-5576	254	8	fractal	fractal	ADJ
ejpam-5576	254	9	pdes	pde	NOUN
ejpam-5576	254	10	arising	arise	VERB
ejpam-5576	254	11	in	in	ADP
ejpam-5576	254	12	mathematical	mathematical	ADJ
ejpam-5576	254	13	physics	physics	NOUN
ejpam-5576	254	14	.	.	PUNCT
ejpam-5576	255	1	fractals	fractal	NOUN
ejpam-5576	255	2	(	(	PUNCT
ejpam-5576	255	3	fractals	fractal	NOUN
ejpam-5576	255	4	)	)	PUNCT
ejpam-5576	255	5	,	,	PUNCT
ejpam-5576	255	6	32(04):1	32(04):1	NUM
ejpam-5576	255	7	–	–	PUNCT
ejpam-5576	255	8	7	7	NUM
ejpam-5576	255	9	,	,	PUNCT
ejpam-5576	255	10	2024	2024	NUM
ejpam-5576	255	11	.	.	PUNCT
ejpam-5576	256	1	[	[	X
ejpam-5576	256	2	11	11	NUM
ejpam-5576	256	3	]	]	X
ejpam-5576	256	4	shiva	shiva	PROPN
ejpam-5576	256	5	eshaghi	eshaghi	PROPN
ejpam-5576	256	6	,	,	PUNCT
ejpam-5576	256	7	nematollah	nematollah	NOUN
ejpam-5576	256	8	kadkhoda	kadkhoda	NOUN
ejpam-5576	256	9	,	,	PUNCT
ejpam-5576	256	10	and	and	CCONJ
ejpam-5576	256	11	mustafa	mustafa	PROPN
ejpam-5576	256	12	inc	inc	PROPN
ejpam-5576	256	13	.	.	PROPN
ejpam-5576	256	14	chaos	chaos	NOUN
ejpam-5576	256	15	control	control	NOUN
ejpam-5576	256	16	and	and	CCONJ
ejpam-5576	256	17	synchronization	synchronization	NOUN
ejpam-5576	256	18	of	of	ADP
ejpam-5576	256	19	a	a	DET
ejpam-5576	256	20	new	new	ADJ
ejpam-5576	256	21	fractional	fractional	ADJ
ejpam-5576	256	22	laser	laser	NOUN
ejpam-5576	256	23	chaotic	chaotic	ADJ
ejpam-5576	256	24	system	system	NOUN
ejpam-5576	256	25	.	.	PUNCT
ejpam-5576	257	1	qualitative	qualitative	ADJ
ejpam-5576	257	2	theory	theory	NOUN
ejpam-5576	257	3	of	of	ADP
ejpam-5576	257	4	dynamical	dynamical	ADJ
ejpam-5576	257	5	systems	system	NOUN
ejpam-5576	257	6	,	,	PUNCT
ejpam-5576	257	7	23(5):241	23(5):241	NUM
ejpam-5576	257	8	,	,	PUNCT
ejpam-5576	257	9	2024	2024	NUM
ejpam-5576	257	10	.	.	PUNCT
ejpam-5576	258	1	[	[	X
ejpam-5576	258	2	12	12	NUM
ejpam-5576	258	3	]	]	X
ejpam-5576	258	4	tareq	tareq	PROPN
ejpam-5576	258	5	hamadneh	hamadneh	PROPN
ejpam-5576	258	6	,	,	PUNCT
ejpam-5576	258	7	amel	amel	PROPN
ejpam-5576	258	8	hioual	hioual	PROPN
ejpam-5576	258	9	,	,	PUNCT
ejpam-5576	258	10	rania	rania	PROPN
ejpam-5576	258	11	saadeh	saadeh	PROPN
ejpam-5576	258	12	,	,	PUNCT
ejpam-5576	258	13	mohamed	mohame	VERB
ejpam-5576	258	14	a	a	DET
ejpam-5576	258	15	abdoon	abdoon	NOUN
ejpam-5576	258	16	,	,	PUNCT
ejpam-5576	258	17	dalal	dalal	PROPN
ejpam-5576	258	18	khalid	khalid	PROPN
ejpam-5576	258	19	almutairi	almutairi	PROPN
ejpam-5576	258	20	,	,	PUNCT
ejpam-5576	258	21	thwiba	thwiba	PROPN
ejpam-5576	258	22	a	a	DET
ejpam-5576	258	23	khalid	khalid	PROPN
ejpam-5576	258	24	,	,	PUNCT
ejpam-5576	258	25	and	and	CCONJ
ejpam-5576	258	26	adel	adel	PROPN
ejpam-5576	258	27	ouannas	ouannas	PROPN
ejpam-5576	258	28	.	.	PUNCT
ejpam-5576	259	1	general	general	ADJ
ejpam-5576	259	2	methods	method	NOUN
ejpam-5576	259	3	to	to	PART
ejpam-5576	259	4	synchronize	synchronize	VERB
ejpam-5576	259	5	fractional	fractional	ADJ
ejpam-5576	259	6	discrete	discrete	ADJ
ejpam-5576	259	7	reaction	reaction	NOUN
ejpam-5576	259	8	–	–	PUNCT
ejpam-5576	259	9	diffusion	diffusion	NOUN
ejpam-5576	259	10	systems	system	NOUN
ejpam-5576	259	11	applied	apply	VERB
ejpam-5576	259	12	to	to	ADP
ejpam-5576	259	13	the	the	DET
ejpam-5576	259	14	glycolysis	glycolysis	NOUN
ejpam-5576	259	15	model	model	NOUN
ejpam-5576	259	16	.	.	PUNCT
ejpam-5576	260	1	fractal	fractal	PROPN
ejpam-5576	260	2	and	and	CCONJ
ejpam-5576	260	3	fractional	fractional	ADJ
ejpam-5576	260	4	,	,	PUNCT
ejpam-5576	260	5	7(11):828	7(11):828	PROPN
ejpam-5576	260	6	,	,	PUNCT
ejpam-5576	260	7	2023	2023	NUM
ejpam-5576	260	8	.	.	PUNCT
ejpam-5576	261	1	[	[	X
ejpam-5576	261	2	13	13	NUM
ejpam-5576	261	3	]	]	PUNCT
ejpam-5576	261	4	rudolf	rudolf	NOUN
ejpam-5576	261	5	hilfer	hilfer	NOUN
ejpam-5576	261	6	.	.	PUNCT
ejpam-5576	262	1	applications	application	NOUN
ejpam-5576	262	2	of	of	ADP
ejpam-5576	262	3	fractional	fractional	ADJ
ejpam-5576	262	4	calculus	calculus	NOUN
ejpam-5576	262	5	in	in	ADP
ejpam-5576	262	6	physics	physics	PROPN
ejpam-5576	262	7	.	.	PUNCT
ejpam-5576	263	1	world	world	PROPN
ejpam-5576	263	2	scientific	scientific	PROPN
ejpam-5576	263	3	,	,	PUNCT
ejpam-5576	263	4	2000	2000	NUM
ejpam-5576	263	5	.	.	PUNCT
ejpam-5576	264	1	[	[	X
ejpam-5576	264	2	14	14	NUM
ejpam-5576	264	3	]	]	X
ejpam-5576	264	4	jian	jian	ADJ
ejpam-5576	264	5	-	-	PUNCT
ejpam-5576	264	6	bing	bing	ADJ
ejpam-5576	264	7	hu	hu	PROPN
ejpam-5576	264	8	,	,	PUNCT
ejpam-5576	264	9	guo	guo	PROPN
ejpam-5576	264	10	-	-	PUNCT
ejpam-5576	264	11	ping	ping	PROPN
ejpam-5576	264	12	lu	lu	PROPN
ejpam-5576	264	13	,	,	PUNCT
ejpam-5576	264	14	shi	shi	PROPN
ejpam-5576	264	15	-	-	PUNCT
ejpam-5576	264	16	bing	bing	PROPN
ejpam-5576	264	17	zhang	zhang	PROPN
ejpam-5576	264	18	,	,	PUNCT
ejpam-5576	264	19	and	and	CCONJ
ejpam-5576	264	20	ling	ling	PROPN
ejpam-5576	264	21	-	-	PUNCT
ejpam-5576	264	22	dong	dong	PROPN
ejpam-5576	264	23	zhao	zhao	PROPN
ejpam-5576	264	24	.	.	PUNCT
ejpam-5576	265	1	lyapunov	lyapunov	PROPN
ejpam-5576	265	2	stability	stability	NOUN
ejpam-5576	265	3	theorem	theorem	VERB
ejpam-5576	265	4	about	about	ADP
ejpam-5576	265	5	fractional	fractional	ADJ
ejpam-5576	265	6	system	system	NOUN
ejpam-5576	265	7	without	without	ADP
ejpam-5576	265	8	and	and	CCONJ
ejpam-5576	265	9	with	with	ADP
ejpam-5576	265	10	delay	delay	NOUN
ejpam-5576	265	11	.	.	PUNCT
ejpam-5576	266	1	communications	communication	NOUN
ejpam-5576	266	2	in	in	ADP
ejpam-5576	266	3	nonlinear	nonlinear	ADJ
ejpam-5576	266	4	science	science	NOUN
ejpam-5576	266	5	and	and	CCONJ
ejpam-5576	266	6	numerical	numerical	PROPN
ejpam-5576	266	7	simulation	simulation	PROPN
ejpam-5576	266	8	,	,	PUNCT
ejpam-5576	266	9	20(3):905–913	20(3):905–913	PROPN
ejpam-5576	266	10	,	,	PUNCT
ejpam-5576	266	11	2015	2015	NUM
ejpam-5576	266	12	.	.	PUNCT
ejpam-5576	267	1	[	[	X
ejpam-5576	267	2	15	15	NUM
ejpam-5576	267	3	]	]	X
ejpam-5576	267	4	wei	wei	PROPN
ejpam-5576	267	5	hu	hu	PROPN
ejpam-5576	267	6	,	,	PUNCT
ejpam-5576	267	7	haibo	haibo	PROPN
ejpam-5576	267	8	luo	luo	PROPN
ejpam-5576	267	9	,	,	PUNCT
ejpam-5576	267	10	chuandong	chuandong	PROPN
ejpam-5576	267	11	chen	chen	PROPN
ejpam-5576	267	12	,	,	PUNCT
ejpam-5576	267	13	and	and	CCONJ
ejpam-5576	267	14	rongshan	rongshan	PROPN
ejpam-5576	267	15	wei	wei	PROPN
ejpam-5576	267	16	.	.	PUNCT
ejpam-5576	268	1	a	a	DET
ejpam-5576	268	2	multi	multi	ADJ
ejpam-5576	268	3	-	-	ADJ
ejpam-5576	268	4	interval	interval	ADJ
ejpam-5576	268	5	homotopy	homotopy	NOUN
ejpam-5576	268	6	analysis	analysis	NOUN
ejpam-5576	268	7	method	method	NOUN
ejpam-5576	268	8	using	use	VERB
ejpam-5576	268	9	multi	multi	ADJ
ejpam-5576	268	10	-	-	ADJ
ejpam-5576	268	11	objective	objective	ADJ
ejpam-5576	268	12	optimization	optimization	NOUN
ejpam-5576	268	13	for	for	ADP
ejpam-5576	268	14	analytically	analytically	ADV
ejpam-5576	268	15	analyzing	analyze	VERB
ejpam-5576	268	16	chaotic	chaotic	ADJ
ejpam-5576	268	17	dynamics	dynamic	NOUN
ejpam-5576	268	18	in	in	ADP
ejpam-5576	268	19	memristive	memristive	ADJ
ejpam-5576	268	20	circuit	circuit	NOUN
ejpam-5576	268	21	.	.	PUNCT
ejpam-5576	269	1	ieee	ieee	NOUN
ejpam-5576	269	2	access	access	NOUN
ejpam-5576	269	3	,	,	PUNCT
ejpam-5576	269	4	7:116328–116341	7:116328–116341	NUM
ejpam-5576	269	5	,	,	PUNCT
ejpam-5576	269	6	2019	2019	NUM
ejpam-5576	269	7	.	.	PUNCT
ejpam-5576	270	1	[	[	X
ejpam-5576	270	2	16	16	NUM
ejpam-5576	270	3	]	]	X
ejpam-5576	270	4	hossein	hossein	PROPN
ejpam-5576	270	5	jafari	jafari	PROPN
ejpam-5576	270	6	,	,	PUNCT
ejpam-5576	270	7	hassan	hassan	PROPN
ejpam-5576	270	8	kamil	kamil	PROPN
ejpam-5576	270	9	jassim	jassim	PROPN
ejpam-5576	270	10	,	,	PUNCT
ejpam-5576	270	11	ali	ali	PROPN
ejpam-5576	270	12	ansari	ansari	PROPN
ejpam-5576	270	13	,	,	PUNCT
ejpam-5576	270	14	et	et	PROPN
ejpam-5576	270	15	al	al	PROPN
ejpam-5576	270	16	.	.	PROPN
ejpam-5576	271	1	local	local	ADJ
ejpam-5576	271	2	fractional	fractional	ADJ
ejpam-5576	271	3	variational	variational	ADJ
ejpam-5576	271	4	iteration	iteration	NOUN
ejpam-5576	271	5	transform	transform	NOUN
ejpam-5576	271	6	method	method	NOUN
ejpam-5576	271	7	:	:	PUNCT
ejpam-5576	271	8	a	a	DET
ejpam-5576	271	9	tool	tool	NOUN
ejpam-5576	271	10	for	for	ADP
ejpam-5576	271	11	solving	solve	VERB
ejpam-5576	271	12	local	local	ADJ
ejpam-5576	271	13	fractional	fractional	ADJ
ejpam-5576	271	14	partial	partial	ADJ
ejpam-5576	271	15	differential	differential	NOUN
ejpam-5576	271	16	equations	equation	NOUN
ejpam-5576	271	17	.	.	PUNCT
ejpam-5576	272	1	fractals	fractal	NOUN
ejpam-5576	272	2	(	(	PUNCT
ejpam-5576	272	3	fractals	fractal	NOUN
ejpam-5576	272	4	)	)	PUNCT
ejpam-5576	272	5	,	,	PUNCT
ejpam-5576	272	6	32(04):1–8	32(04):1–8	NUM
ejpam-5576	272	7	,	,	PUNCT
ejpam-5576	272	8	2024	2024	NUM
ejpam-5576	272	9	.	.	PUNCT
ejpam-5576	273	1	[	[	X
ejpam-5576	273	2	17	17	NUM
ejpam-5576	273	3	]	]	X
ejpam-5576	273	4	hossein	hossein	PROPN
ejpam-5576	273	5	jafari	jafari	PROPN
ejpam-5576	273	6	,	,	PUNCT
ejpam-5576	273	7	hassan	hassan	PROPN
ejpam-5576	273	8	kamil	kamil	PROPN
ejpam-5576	273	9	jassim	jassim	PROPN
ejpam-5576	273	10	,	,	PUNCT
ejpam-5576	273	11	canan	canan	PROPN
ejpam-5576	273	12	ãœnlãœ	ãœnlãœ	PROPN
ejpam-5576	273	13	,	,	PUNCT
ejpam-5576	273	14	et	et	PROPN
ejpam-5576	273	15	al	al	PROPN
ejpam-5576	273	16	.	.	PUNCT
ejpam-5576	273	17	laplace	laplace	PROPN
ejpam-5576	273	18	decomposition	decomposition	NOUN
ejpam-5576	273	19	method	method	NOUN
ejpam-5576	273	20	for	for	ADP
ejpam-5576	273	21	solving	solve	VERB
ejpam-5576	273	22	the	the	DET
ejpam-5576	273	23	two	two	NUM
ejpam-5576	273	24	-	-	PUNCT
ejpam-5576	273	25	dimensional	dimensional	ADJ
ejpam-5576	273	26	diffusion	diffusion	NOUN
ejpam-5576	273	27	problem	problem	NOUN
ejpam-5576	273	28	in	in	ADP
ejpam-5576	273	29	fractal	fractal	ADJ
ejpam-5576	273	30	heat	heat	NOUN
ejpam-5576	273	31	transfer	transfer	NOUN
ejpam-5576	273	32	.	.	PUNCT
ejpam-5576	274	1	fractals	fractal	NOUN
ejpam-5576	274	2	(	(	PUNCT
ejpam-5576	274	3	fractals	fractal	NOUN
ejpam-5576	274	4	)	)	PUNCT
ejpam-5576	274	5	,	,	PUNCT
ejpam-5576	274	6	32(04):1–6	32(04):1–6	NUM
ejpam-5576	274	7	,	,	PUNCT
ejpam-5576	274	8	2024	2024	NUM
ejpam-5576	274	9	.	.	PUNCT
ejpam-5576	275	1	[	[	X
ejpam-5576	275	2	18	18	NUM
ejpam-5576	275	3	]	]	X
ejpam-5576	275	4	hossein	hossein	PROPN
ejpam-5576	275	5	jafari	jafari	PROPN
ejpam-5576	275	6	,	,	PUNCT
ejpam-5576	275	7	muslim	muslim	PROPN
ejpam-5576	275	8	yusif	yusif	PROPN
ejpam-5576	275	9	zair	zair	PROPN
ejpam-5576	275	10	,	,	PUNCT
ejpam-5576	275	11	and	and	CCONJ
ejpam-5576	275	12	hassan	hassan	PROPN
ejpam-5576	275	13	kamil	kamil	PROPN
ejpam-5576	275	14	jassim	jassim	PROPN
ejpam-5576	275	15	.	.	PUNCT
ejpam-5576	276	1	analysis	analysis	NOUN
ejpam-5576	276	2	of	of	ADP
ejpam-5576	276	3	fractional	fractional	ADJ
ejpam-5576	276	4	navier	navier	NOUN
ejpam-5576	276	5	–	–	PUNCT
ejpam-5576	276	6	stokes	stokes	PROPN
ejpam-5576	276	7	equations	equation	NOUN
ejpam-5576	276	8	.	.	PUNCT
ejpam-5576	277	1	heat	heat	NOUN
ejpam-5576	277	2	transfer	transfer	NOUN
ejpam-5576	277	3	,	,	PUNCT
ejpam-5576	277	4	52(3):2859–2877	52(3):2859–2877	PROPN
ejpam-5576	277	5	,	,	PUNCT
ejpam-5576	277	6	2023	2023	NUM
ejpam-5576	277	7	.	.	PUNCT
ejpam-5576	278	1	[	[	X
ejpam-5576	278	2	19	19	NUM
ejpam-5576	278	3	]	]	X
ejpam-5576	278	4	hassan	hassan	PROPN
ejpam-5576	278	5	kamil	kamil	PROPN
ejpam-5576	278	6	jassim	jassim	PROPN
ejpam-5576	278	7	.	.	PUNCT
ejpam-5576	279	1	a	a	DET
ejpam-5576	279	2	new	new	ADJ
ejpam-5576	279	3	approach	approach	NOUN
ejpam-5576	279	4	to	to	PART
ejpam-5576	279	5	find	find	VERB
ejpam-5576	279	6	approximate	approximate	ADJ
ejpam-5576	279	7	solutions	solution	NOUN
ejpam-5576	279	8	of	of	ADP
ejpam-5576	279	9	burger	burger	NOUN
ejpam-5576	279	10	’s	’s	PART
ejpam-5576	279	11	and	and	CCONJ
ejpam-5576	279	12	coupled	couple	VERB
ejpam-5576	279	13	burger	burger	NOUN
ejpam-5576	279	14	’s	’s	PART
ejpam-5576	279	15	equations	equation	NOUN
ejpam-5576	279	16	of	of	ADP
ejpam-5576	279	17	fractional	fractional	ADJ
ejpam-5576	279	18	order	order	NOUN
ejpam-5576	279	19	.	.	PUNCT
ejpam-5576	280	1	twms	twms	PROPN
ejpam-5576	280	2	journal	journal	PROPN
ejpam-5576	280	3	of	of	ADP
ejpam-5576	280	4	applied	apply	VERB
ejpam-5576	280	5	and	and	CCONJ
ejpam-5576	280	6	engineering	engineering	NOUN
ejpam-5576	280	7	mathematics	mathematic	NOUN
ejpam-5576	280	8	,	,	PUNCT
ejpam-5576	280	9	11(2):415	11(2):415	NUM
ejpam-5576	280	10	,	,	PUNCT
ejpam-5576	280	11	2021	2021	NUM
ejpam-5576	280	12	.	.	PUNCT
ejpam-5576	281	1	[	[	X
ejpam-5576	281	2	20	20	NUM
ejpam-5576	281	3	]	]	X
ejpam-5576	281	4	hassan	hassan	PROPN
ejpam-5576	281	5	kamil	kamil	PROPN
ejpam-5576	281	6	jassim	jassim	PROPN
ejpam-5576	281	7	.	.	PUNCT
ejpam-5576	282	1	a	a	DET
ejpam-5576	282	2	new	new	ADJ
ejpam-5576	282	3	approach	approach	NOUN
ejpam-5576	282	4	to	to	PART
ejpam-5576	282	5	find	find	VERB
ejpam-5576	282	6	approximate	approximate	ADJ
ejpam-5576	282	7	solutions	solution	NOUN
ejpam-5576	282	8	of	of	ADP
ejpam-5576	282	9	burger	burger	NOUN
ejpam-5576	282	10	’s	’s	PART
ejpam-5576	282	11	and	and	CCONJ
ejpam-5576	282	12	coupled	couple	VERB
ejpam-5576	282	13	burger	burger	NOUN
ejpam-5576	282	14	’s	’s	PART
ejpam-5576	282	15	equations	equation	NOUN
ejpam-5576	282	16	of	of	ADP
ejpam-5576	282	17	fractional	fractional	ADJ
ejpam-5576	282	18	order	order	NOUN
ejpam-5576	282	19	.	.	PUNCT
ejpam-5576	283	1	twms	twms	PROPN
ejpam-5576	283	2	journal	journal	PROPN
ejpam-5576	283	3	of	of	ADP
ejpam-5576	283	4	applied	apply	VERB
ejpam-5576	283	5	and	and	CCONJ
ejpam-5576	283	6	engineering	engineering	NOUN
ejpam-5576	283	7	mathematics	mathematic	NOUN
ejpam-5576	283	8	,	,	PUNCT
ejpam-5576	283	9	11(2):415	11(2):415	NUM
ejpam-5576	283	10	,	,	PUNCT
ejpam-5576	283	11	2021	2021	NUM
ejpam-5576	283	12	.	.	PUNCT
ejpam-5576	284	1	[	[	X
ejpam-5576	284	2	21	21	NUM
ejpam-5576	284	3	]	]	X
ejpam-5576	284	4	hassan	hassan	PROPN
ejpam-5576	284	5	kamil	kamil	PROPN
ejpam-5576	284	6	jassim	jassim	PROPN
ejpam-5576	284	7	and	and	CCONJ
ejpam-5576	284	8	sa	sa	PROPN
ejpam-5576	284	9	khafif	khafif	PROPN
ejpam-5576	284	10	.	.	PUNCT
ejpam-5576	285	1	svim	svim	NOUN
ejpam-5576	285	2	for	for	ADP
ejpam-5576	285	3	solving	solve	VERB
ejpam-5576	285	4	burger	burger	NOUN
ejpam-5576	285	5	’s	’s	PART
ejpam-5576	285	6	and	and	CCONJ
ejpam-5576	285	7	coupled	couple	VERB
ejpam-5576	285	8	burger	burger	NOUN
ejpam-5576	285	9	’s	’s	PART
ejpam-5576	285	10	equations	equation	NOUN
ejpam-5576	285	11	of	of	ADP
ejpam-5576	285	12	fractional	fractional	ADJ
ejpam-5576	285	13	order	order	NOUN
ejpam-5576	285	14	.	.	PUNCT
ejpam-5576	286	1	progress	progress	NOUN
ejpam-5576	286	2	in	in	ADP
ejpam-5576	286	3	fractional	fractional	ADJ
ejpam-5576	286	4	differentiation	differentiation	NOUN
ejpam-5576	286	5	and	and	CCONJ
ejpam-5576	286	6	applications	application	NOUN
ejpam-5576	286	7	,	,	PUNCT
ejpam-5576	286	8	7(1):1–6	7(1):1–6	NUM
ejpam-5576	286	9	,	,	PUNCT
ejpam-5576	286	10	2021	2021	NUM
ejpam-5576	286	11	.	.	PUNCT
ejpam-5576	287	1	[	[	X
ejpam-5576	287	2	22	22	NUM
ejpam-5576	287	3	]	]	X
ejpam-5576	287	4	hk	hk	PROPN
ejpam-5576	287	5	jassim	jassim	PROPN
ejpam-5576	287	6	,	,	PUNCT
ejpam-5576	287	7	h	h	PROPN
ejpam-5576	287	8	ahmad	ahmad	PROPN
ejpam-5576	287	9	,	,	PUNCT
ejpam-5576	287	10	a	a	DET
ejpam-5576	287	11	shamaoon	shamaoon	NOUN
ejpam-5576	287	12	,	,	PUNCT
ejpam-5576	287	13	and	and	CCONJ
ejpam-5576	287	14	c	c	ADP
ejpam-5576	287	15	cesarano	cesarano	PROPN
ejpam-5576	287	16	.	.	PUNCT
ejpam-5576	288	1	an	an	DET
ejpam-5576	288	2	efficient	efficient	ADJ
ejpam-5576	288	3	hybrid	hybrid	NOUN
ejpam-5576	288	4	technique	technique	NOUN
ejpam-5576	288	5	for	for	ADP
ejpam-5576	288	6	the	the	DET
ejpam-5576	288	7	solution	solution	NOUN
ejpam-5576	288	8	of	of	ADP
ejpam-5576	288	9	fractional	fractional	ADJ
ejpam-5576	288	10	-	-	PUNCT
ejpam-5576	288	11	order	order	NOUN
ejpam-5576	288	12	partial	partial	ADJ
ejpam-5576	288	13	differential	differential	NOUN
ejpam-5576	288	14	equations	equation	NOUN
ejpam-5576	288	15	.	.	PUNCT
ejpam-5576	289	1	carpathian	carpathian	ADJ
ejpam-5576	289	2	mathematical	mathematical	ADJ
ejpam-5576	289	3	publications	publication	NOUN
ejpam-5576	289	4	,	,	PUNCT
ejpam-5576	289	5	13(3):790–804	13(3):790–804	PROPN
ejpam-5576	289	6	,	,	PUNCT
ejpam-5576	289	7	2021	2021	NUM
ejpam-5576	289	8	.	.	PUNCT
ejpam-5576	290	1	t.	t.	PROPN
ejpam-5576	290	2	khalid	khalid	PROPN
ejpam-5576	290	3	/	/	SYM
ejpam-5576	290	4	eur	eur	PROPN
ejpam-5576	290	5	.	.	PUNCT
ejpam-5576	291	1	j.	j.	PROPN
ejpam-5576	291	2	pure	pure	PROPN
ejpam-5576	291	3	appl	appl	PROPN
ejpam-5576	291	4	.	.	PROPN
ejpam-5576	291	5	math	math	PROPN
ejpam-5576	291	6	,	,	PUNCT
ejpam-5576	291	7	18	18	NUM
ejpam-5576	291	8	(	(	PUNCT
ejpam-5576	291	9	1	1	NUM
ejpam-5576	291	10	)	)	PUNCT
ejpam-5576	291	11	(	(	PUNCT
ejpam-5576	291	12	2025	2025	NUM
ejpam-5576	291	13	)	)	PUNCT
ejpam-5576	291	14	,	,	PUNCT
ejpam-5576	291	15	5576	5576	NUM
ejpam-5576	291	16	15	15	NUM
ejpam-5576	291	17	of	of	ADP
ejpam-5576	291	18	16	16	NUM
ejpam-5576	292	1	[	[	X
ejpam-5576	292	2	23	23	NUM
ejpam-5576	292	3	]	]	PUNCT
ejpam-5576	292	4	thwiba	thwiba	PROPN
ejpam-5576	292	5	a	a	DET
ejpam-5576	292	6	khalid	khalid	PROPN
ejpam-5576	292	7	,	,	PUNCT
ejpam-5576	292	8	fatima	fatima	PROPN
ejpam-5576	292	9	alnoor	alnoor	PROPN
ejpam-5576	292	10	,	,	PUNCT
ejpam-5576	292	11	ebtesam	ebtesam	PROPN
ejpam-5576	292	12	babeker	babeker	PROPN
ejpam-5576	292	13	,	,	PUNCT
ejpam-5576	292	14	ehssan	ehssan	PROPN
ejpam-5576	292	15	ahmed	ahmed	PROPN
ejpam-5576	292	16	,	,	PUNCT
ejpam-5576	292	17	and	and	CCONJ
ejpam-5576	292	18	alaa	alaa	PROPN
ejpam-5576	292	19	mustafa	mustafa	PROPN
ejpam-5576	292	20	.	.	PUNCT
ejpam-5576	293	1	legendre	legendre	PROPN
ejpam-5576	293	2	polynomials	polynomial	NOUN
ejpam-5576	293	3	and	and	CCONJ
ejpam-5576	293	4	techniques	technique	NOUN
ejpam-5576	293	5	for	for	ADP
ejpam-5576	293	6	collocation	collocation	NOUN
ejpam-5576	293	7	in	in	ADP
ejpam-5576	293	8	the	the	DET
ejpam-5576	293	9	computation	computation	NOUN
ejpam-5576	293	10	of	of	ADP
ejpam-5576	293	11	variable	variable	ADJ
ejpam-5576	293	12	-	-	PUNCT
ejpam-5576	293	13	order	order	NOUN
ejpam-5576	293	14	fractional	fractional	ADJ
ejpam-5576	293	15	advection	advection	NOUN
ejpam-5576	293	16	-	-	PUNCT
ejpam-5576	293	17	dispersion	dispersion	NOUN
ejpam-5576	293	18	equations	equation	NOUN
ejpam-5576	293	19	.	.	PUNCT
ejpam-5576	294	1	international	international	ADJ
ejpam-5576	294	2	journal	journal	NOUN
ejpam-5576	294	3	of	of	ADP
ejpam-5576	294	4	analysis	analysis	NOUN
ejpam-5576	294	5	and	and	CCONJ
ejpam-5576	294	6	applications	application	NOUN
ejpam-5576	294	7	,	,	PUNCT
ejpam-5576	294	8	22:185–185	22:185–185	NUM
ejpam-5576	294	9	,	,	PUNCT
ejpam-5576	294	10	2024	2024	NUM
ejpam-5576	294	11	.	.	PUNCT
ejpam-5576	295	1	[	[	X
ejpam-5576	295	2	24	24	NUM
ejpam-5576	295	3	]	]	PUNCT
ejpam-5576	295	4	thwiba	thwiba	PROPN
ejpam-5576	295	5	a	a	DET
ejpam-5576	295	6	khalid	khalid	PROPN
ejpam-5576	295	7	,	,	PUNCT
ejpam-5576	295	8	aymen	aymen	PROPN
ejpam-5576	295	9	imam	imam	PROPN
ejpam-5576	295	10	,	,	PUNCT
ejpam-5576	295	11	abdulgader	abdulgader	ADJ
ejpam-5576	295	12	bahatheg	bahatheg	PROPN
ejpam-5576	295	13	,	,	PUNCT
ejpam-5576	295	14	shahinaz	shahinaz	VERB
ejpam-5576	295	15	a	a	DET
ejpam-5576	295	16	elsamani	elsamani	NOUN
ejpam-5576	295	17	,	,	PUNCT
ejpam-5576	295	18	and	and	CCONJ
ejpam-5576	295	19	bashir	bashir	PROPN
ejpam-5576	295	20	el	el	PROPN
ejpam-5576	295	21	mukhtar	mukhtar	PROPN
ejpam-5576	295	22	.	.	PUNCT
ejpam-5576	296	1	a	a	DET
ejpam-5576	296	2	fractional	fractional	ADJ
ejpam-5576	296	3	epidemiological	epidemiological	ADJ
ejpam-5576	296	4	model	model	NOUN
ejpam-5576	296	5	for	for	ADP
ejpam-5576	296	6	prediction	prediction	NOUN
ejpam-5576	296	7	and	and	CCONJ
ejpam-5576	296	8	simulation	simulation	NOUN
ejpam-5576	296	9	the	the	DET
ejpam-5576	296	10	outbreaks	outbreak	NOUN
ejpam-5576	296	11	of	of	ADP
ejpam-5576	296	12	dengue	dengue	NOUN
ejpam-5576	296	13	fever	fever	NOUN
ejpam-5576	296	14	outbreaks	outbreak	NOUN
ejpam-5576	296	15	in	in	ADP
ejpam-5576	296	16	sudan	sudan	PROPN
ejpam-5576	296	17	.	.	PUNCT
ejpam-5576	297	1	journal	journal	PROPN
ejpam-5576	297	2	of	of	ADP
ejpam-5576	297	3	survey	survey	NOUN
ejpam-5576	297	4	in	in	ADP
ejpam-5576	297	5	fisheries	fishery	NOUN
ejpam-5576	297	6	sciences	sciences	PROPN
ejpam-5576	297	7	,	,	PUNCT
ejpam-5576	297	8	10(3s):2679–2692	10(3s):2679–2692	NUM
ejpam-5576	297	9	,	,	PUNCT
ejpam-5576	297	10	2023	2023	NUM
ejpam-5576	297	11	.	.	PUNCT
ejpam-5576	298	1	[	[	X
ejpam-5576	298	2	25	25	NUM
ejpam-5576	298	3	]	]	X
ejpam-5576	298	4	tianzeng	tianzeng	PROPN
ejpam-5576	298	5	li	li	PROPN
ejpam-5576	298	6	,	,	PUNCT
ejpam-5576	298	7	yuwang	yuwang	PROPN
ejpam-5576	298	8	,	,	PUNCT
ejpam-5576	298	9	and	and	CCONJ
ejpam-5576	298	10	hongmei	hongmei	PROPN
ejpam-5576	298	11	li	li	PROPN
ejpam-5576	298	12	.	.	PROPN
ejpam-5576	298	13	stability	stability	PROPN
ejpam-5576	298	14	control	control	NOUN
ejpam-5576	298	15	of	of	ADP
ejpam-5576	298	16	fractional	fractional	ADJ
ejpam-5576	298	17	chaotic	chaotic	ADJ
ejpam-5576	298	18	systems	system	NOUN
ejpam-5576	298	19	based	base	VERB
ejpam-5576	298	20	on	on	ADP
ejpam-5576	298	21	a	a	DET
ejpam-5576	298	22	simple	simple	ADJ
ejpam-5576	298	23	lyapunov	lyapunov	ADJ
ejpam-5576	298	24	function	function	NOUN
ejpam-5576	298	25	.	.	PUNCT
ejpam-5576	299	1	journal	journal	PROPN
ejpam-5576	299	2	of	of	ADP
ejpam-5576	299	3	nonlinear	nonlinear	PROPN
ejpam-5576	299	4	sciences	sciences	PROPN
ejpam-5576	299	5	&	&	CCONJ
ejpam-5576	299	6	applications	application	NOUN
ejpam-5576	299	7	(	(	PUNCT
ejpam-5576	299	8	jnsa	jnsa	PROPN
ejpam-5576	299	9	)	)	PUNCT
ejpam-5576	299	10	,	,	PUNCT
ejpam-5576	299	11	10(9	10(9	NUM
ejpam-5576	299	12	)	)	PUNCT
ejpam-5576	299	13	,	,	PUNCT
ejpam-5576	299	14	2017	2017	NUM
ejpam-5576	299	15	.	.	PUNCT
ejpam-5576	300	1	[	[	X
ejpam-5576	300	2	26	26	NUM
ejpam-5576	300	3	]	]	X
ejpam-5576	300	4	tianzeng	tianzeng	PROPN
ejpam-5576	300	5	li	li	PROPN
ejpam-5576	300	6	,	,	PUNCT
ejpam-5576	300	7	yuwang	yuwang	PROPN
ejpam-5576	300	8	,	,	PUNCT
ejpam-5576	300	9	and	and	CCONJ
ejpam-5576	300	10	hongmei	hongmei	PROPN
ejpam-5576	300	11	li	li	PROPN
ejpam-5576	300	12	.	.	PROPN
ejpam-5576	300	13	stability	stability	PROPN
ejpam-5576	300	14	control	control	NOUN
ejpam-5576	300	15	of	of	ADP
ejpam-5576	300	16	fractional	fractional	ADJ
ejpam-5576	300	17	chaotic	chaotic	ADJ
ejpam-5576	300	18	systems	system	NOUN
ejpam-5576	300	19	based	base	VERB
ejpam-5576	300	20	on	on	ADP
ejpam-5576	300	21	a	a	DET
ejpam-5576	300	22	simple	simple	ADJ
ejpam-5576	300	23	lyapunov	lyapunov	ADJ
ejpam-5576	300	24	function	function	NOUN
ejpam-5576	300	25	.	.	PUNCT
ejpam-5576	301	1	journal	journal	PROPN
ejpam-5576	301	2	of	of	ADP
ejpam-5576	301	3	nonlinear	nonlinear	PROPN
ejpam-5576	301	4	sciences	sciences	PROPN
ejpam-5576	301	5	&	&	CCONJ
ejpam-5576	301	6	applications	application	NOUN
ejpam-5576	301	7	(	(	PUNCT
ejpam-5576	301	8	jnsa	jnsa	PROPN
ejpam-5576	301	9	)	)	PUNCT
ejpam-5576	301	10	,	,	PUNCT
ejpam-5576	301	11	10(9	10(9	NUM
ejpam-5576	301	12	)	)	PUNCT
ejpam-5576	301	13	,	,	PUNCT
ejpam-5576	301	14	2017	2017	NUM
ejpam-5576	301	15	.	.	PUNCT
ejpam-5576	302	1	[	[	X
ejpam-5576	302	2	27	27	NUM
ejpam-5576	302	3	]	]	X
ejpam-5576	302	4	tianzeng	tianzeng	PROPN
ejpam-5576	302	5	li	li	PROPN
ejpam-5576	302	6	,	,	PUNCT
ejpam-5576	302	7	yu	yu	PROPN
ejpam-5576	302	8	wang	wang	PROPN
ejpam-5576	302	9	,	,	PUNCT
ejpam-5576	302	10	and	and	CCONJ
ejpam-5576	302	11	chao	chao	PROPN
ejpam-5576	302	12	zhao	zhao	PROPN
ejpam-5576	302	13	.	.	PUNCT
ejpam-5576	303	1	synchronization	synchronization	NOUN
ejpam-5576	303	2	of	of	ADP
ejpam-5576	303	3	fractional	fractional	ADJ
ejpam-5576	303	4	chaotic	chaotic	ADJ
ejpam-5576	303	5	systems	system	NOUN
ejpam-5576	303	6	based	base	VERB
ejpam-5576	303	7	on	on	ADP
ejpam-5576	303	8	a	a	DET
ejpam-5576	303	9	simple	simple	ADJ
ejpam-5576	303	10	lyapunov	lyapunov	ADJ
ejpam-5576	303	11	function	function	NOUN
ejpam-5576	303	12	.	.	PUNCT
ejpam-5576	304	1	advances	advance	NOUN
ejpam-5576	304	2	in	in	ADP
ejpam-5576	304	3	difference	difference	NOUN
ejpam-5576	304	4	equations	equation	NOUN
ejpam-5576	304	5	,	,	PUNCT
ejpam-5576	304	6	2017:1–19	2017:1–19	NUM
ejpam-5576	304	7	,	,	PUNCT
ejpam-5576	304	8	2017	2017	NUM
ejpam-5576	304	9	.	.	PUNCT
ejpam-5576	305	1	[	[	X
ejpam-5576	305	2	28	28	NUM
ejpam-5576	305	3	]	]	X
ejpam-5576	305	4	devia	devia	PROPN
ejpam-5576	305	5	narrania	narrania	PROPN
ejpam-5576	305	6	,	,	PUNCT
ejpam-5576	305	7	kuldip	kuldip	PROPN
ejpam-5576	305	8	raj	raj	PROPN
ejpam-5576	305	9	,	,	PUNCT
ejpam-5576	305	10	sunil	sunil	PROPN
ejpam-5576	305	11	k	k	PROPN
ejpam-5576	305	12	sharma	sharma	PROPN
ejpam-5576	305	13	,	,	PUNCT
ejpam-5576	305	14	thwiba	thwiba	PROPN
ejpam-5576	305	15	a	a	DET
ejpam-5576	305	16	khalid	khalid	PROPN
ejpam-5576	305	17	,	,	PUNCT
ejpam-5576	305	18	arafa	arafa	NOUN
ejpam-5576	305	19	o	o	PROPN
ejpam-5576	305	20	mustafa	mustafa	PROPN
ejpam-5576	305	21	,	,	PUNCT
ejpam-5576	305	22	runda	runda	PROPN
ejpam-5576	305	23	aa	aa	PROPN
ejpam-5576	305	24	bashir	bashir	PROPN
ejpam-5576	305	25	,	,	PUNCT
ejpam-5576	305	26	mustafa	mustafa	PROPN
ejpam-5576	305	27	m	m	PROPN
ejpam-5576	305	28	mohammed	mohammed	PROPN
ejpam-5576	305	29	,	,	PUNCT
ejpam-5576	305	30	and	and	CCONJ
ejpam-5576	305	31	awad	awad	VERB
ejpam-5576	305	32	a	a	DET
ejpam-5576	305	33	bakery	bakery	NOUN
ejpam-5576	305	34	.	.	PUNCT
ejpam-5576	306	1	decision	decision	NOUN
ejpam-5576	306	2	-	-	PUNCT
ejpam-5576	306	3	making	making	NOUN
ejpam-5576	306	4	on	on	ADP
ejpam-5576	306	5	deferred	deferred	ADJ
ejpam-5576	306	6	statistical	statistical	ADJ
ejpam-5576	306	7	convergence	convergence	NOUN
ejpam-5576	306	8	of	of	ADP
ejpam-5576	306	9	measurable	measurable	ADJ
ejpam-5576	306	10	functions	function	NOUN
ejpam-5576	306	11	of	of	ADP
ejpam-5576	306	12	two	two	NUM
ejpam-5576	306	13	variables	variable	NOUN
ejpam-5576	306	14	.	.	PUNCT
ejpam-5576	307	1	contemporary	contemporary	ADJ
ejpam-5576	307	2	mathematics	mathematic	NOUN
ejpam-5576	307	3	,	,	PUNCT
ejpam-5576	307	4	pages	page	NOUN
ejpam-5576	307	5	5518–5533	5518–5533	NUM
ejpam-5576	307	6	,	,	PUNCT
ejpam-5576	307	7	2024	2024	NUM
ejpam-5576	307	8	.	.	PUNCT
ejpam-5576	308	1	[	[	X
ejpam-5576	308	2	29	29	NUM
ejpam-5576	308	3	]	]	X
ejpam-5576	308	4	rosemary	rosemary	ADJ
ejpam-5576	308	5	o	o	NOUN
ejpam-5576	308	6	ogbumba	ogbumba	ADV
ejpam-5576	308	7	,	,	PUNCT
ejpam-5576	308	8	mohammed	mohammed	PROPN
ejpam-5576	308	9	shehu	shehu	PROPN
ejpam-5576	308	10	shagari	shagari	PROPN
ejpam-5576	308	11	,	,	PUNCT
ejpam-5576	308	12	monairah	monairah	PROPN
ejpam-5576	308	13	alansari	alansari	PROPN
ejpam-5576	308	14	,	,	PUNCT
ejpam-5576	308	15	thwiba	thwiba	PROPN
ejpam-5576	308	16	a	a	DET
ejpam-5576	308	17	khalid	khalid	PROPN
ejpam-5576	308	18	,	,	PUNCT
ejpam-5576	308	19	elsayed	elsaye	VERB
ejpam-5576	308	20	ae	ae	PROPN
ejpam-5576	308	21	mohamed	mohamed	PROPN
ejpam-5576	308	22	,	,	PUNCT
ejpam-5576	308	23	and	and	CCONJ
ejpam-5576	308	24	awad	awad	VERB
ejpam-5576	308	25	a	a	DET
ejpam-5576	308	26	bakery	bakery	NOUN
ejpam-5576	308	27	.	.	PUNCT
ejpam-5576	309	1	advancements	advancement	NOUN
ejpam-5576	309	2	in	in	ADP
ejpam-5576	309	3	hybrid	hybrid	ADJ
ejpam-5576	309	4	fixed	fix	VERB
ejpam-5576	309	5	point	point	NOUN
ejpam-5576	309	6	results	result	NOUN
ejpam-5576	309	7	and	and	CCONJ
ejpam-5576	309	8	f	f	X
ejpam-5576	309	9	-	-	PUNCT
ejpam-5576	309	10	contractive	contractive	ADJ
ejpam-5576	309	11	operators	operator	NOUN
ejpam-5576	309	12	.	.	PUNCT
ejpam-5576	310	1	symmetry	symmetry	NOUN
ejpam-5576	310	2	,	,	PUNCT
ejpam-5576	310	3	15(6):1253	15(6):1253	NUM
ejpam-5576	310	4	,	,	PUNCT
ejpam-5576	310	5	2023	2023	NUM
ejpam-5576	310	6	.	.	PUNCT
ejpam-5576	311	1	[	[	X
ejpam-5576	311	2	30	30	NUM
ejpam-5576	311	3	]	]	X
ejpam-5576	311	4	madhuri	madhuri	PROPN
ejpam-5576	311	5	patil	patil	PROPN
ejpam-5576	311	6	and	and	CCONJ
ejpam-5576	311	7	sachin	sachin	PROPN
ejpam-5576	311	8	bhalekar	bhalekar	PROPN
ejpam-5576	311	9	.	.	PUNCT
ejpam-5576	312	1	a	a	DET
ejpam-5576	312	2	new	new	ADJ
ejpam-5576	312	3	fractional	fractional	ADJ
ejpam-5576	312	4	order	order	NOUN
ejpam-5576	312	5	chaotic	chaotic	ADJ
ejpam-5576	312	6	dynamical	dynamical	ADJ
ejpam-5576	312	7	system	system	NOUN
ejpam-5576	312	8	and	and	CCONJ
ejpam-5576	312	9	its	its	PRON
ejpam-5576	312	10	synchronization	synchronization	NOUN
ejpam-5576	312	11	using	use	VERB
ejpam-5576	312	12	optimal	optimal	ADJ
ejpam-5576	312	13	control	control	NOUN
ejpam-5576	312	14	.	.	PUNCT
ejpam-5576	313	1	arxiv	arxiv	PROPN
ejpam-5576	313	2	preprint	preprint	PROPN
ejpam-5576	313	3	arxiv:2007.03168	arxiv:2007.03168	NOUN
ejpam-5576	313	4	,	,	PUNCT
ejpam-5576	313	5	2020	2020	NUM
ejpam-5576	313	6	.	.	PUNCT
ejpam-5576	314	1	[	[	X
ejpam-5576	314	2	31	31	NUM
ejpam-5576	314	3	]	]	X
ejpam-5576	314	4	soheil	soheil	NOUN
ejpam-5576	314	5	salahshour	salahshour	PROPN
ejpam-5576	314	6	,	,	PUNCT
ejpam-5576	314	7	ali	ali	PROPN
ejpam-5576	314	8	ahmadian	ahmadian	PROPN
ejpam-5576	314	9	,	,	PUNCT
ejpam-5576	314	10	mehdi	mehdi	PROPN
ejpam-5576	314	11	salimi	salimi	PROPN
ejpam-5576	314	12	,	,	PUNCT
ejpam-5576	314	13	bruno	bruno	PROPN
ejpam-5576	314	14	antonio	antonio	PROPN
ejpam-5576	314	15	pansera	pansera	PROPN
ejpam-5576	314	16	,	,	PUNCT
ejpam-5576	314	17	and	and	CCONJ
ejpam-5576	314	18	massimiliano	massimiliano	PROPN
ejpam-5576	314	19	ferrara	ferrara	NOUN
ejpam-5576	314	20	.	.	PUNCT
ejpam-5576	315	1	a	a	DET
ejpam-5576	315	2	new	new	ADJ
ejpam-5576	315	3	lyapunov	lyapunov	ADJ
ejpam-5576	315	4	stability	stability	NOUN
ejpam-5576	315	5	analysis	analysis	NOUN
ejpam-5576	315	6	of	of	ADP
ejpam-5576	315	7	fractional	fractional	ADJ
ejpam-5576	315	8	-	-	PUNCT
ejpam-5576	315	9	order	order	NOUN
ejpam-5576	315	10	systems	system	NOUN
ejpam-5576	315	11	with	with	ADP
ejpam-5576	315	12	nonsingular	nonsingular	ADJ
ejpam-5576	315	13	kernel	kernel	PROPN
ejpam-5576	315	14	derivative	derivative	PROPN
ejpam-5576	315	15	.	.	PUNCT
ejpam-5576	316	1	alexandria	alexandria	PROPN
ejpam-5576	316	2	engineering	engineering	PROPN
ejpam-5576	316	3	journal	journal	PROPN
ejpam-5576	316	4	,	,	PUNCT
ejpam-5576	316	5	59(5):2985–2990	59(5):2985–2990	NUM
ejpam-5576	316	6	,	,	PUNCT
ejpam-5576	316	7	2020	2020	NUM
ejpam-5576	316	8	.	.	PUNCT
ejpam-5576	317	1	[	[	X
ejpam-5576	317	2	32	32	NUM
ejpam-5576	317	3	]	]	PUNCT
ejpam-5576	317	4	muhammad	muhammad	PROPN
ejpam-5576	317	5	sarfraz	sarfraz	PROPN
ejpam-5576	317	6	,	,	PUNCT
ejpam-5576	317	7	jiang	jiang	PROPN
ejpam-5576	317	8	zhou	zhou	PROPN
ejpam-5576	317	9	,	,	PUNCT
ejpam-5576	317	10	and	and	CCONJ
ejpam-5576	317	11	fateh	fateh	PROPN
ejpam-5576	317	12	ali	ali	PROPN
ejpam-5576	317	13	.	.	PUNCT
ejpam-5576	318	1	an	an	DET
ejpam-5576	318	2	8d	8d	NUM
ejpam-5576	318	3	hyperchaotic	hyperchaotic	ADJ
ejpam-5576	318	4	system	system	NOUN
ejpam-5576	318	5	of	of	ADP
ejpam-5576	318	6	fractional	fractional	ADJ
ejpam-5576	318	7	-	-	PUNCT
ejpam-5576	318	8	order	order	NOUN
ejpam-5576	318	9	systems	system	NOUN
ejpam-5576	318	10	using	use	VERB
ejpam-5576	318	11	the	the	DET
ejpam-5576	318	12	memory	memory	NOUN
ejpam-5576	318	13	effect	effect	NOUN
ejpam-5576	318	14	of	of	ADP
ejpam-5576	318	15	grünwald	grünwald	ADJ
ejpam-5576	318	16	–	–	PUNCT
ejpam-5576	318	17	letnikov	letnikov	ADJ
ejpam-5576	318	18	derivatives	derivative	NOUN
ejpam-5576	318	19	.	.	PUNCT
ejpam-5576	319	1	fractal	fractal	ADJ
ejpam-5576	319	2	and	and	CCONJ
ejpam-5576	319	3	fractional	fractional	ADJ
ejpam-5576	319	4	,	,	PUNCT
ejpam-5576	319	5	8(9):530	8(9):530	NUM
ejpam-5576	319	6	,	,	PUNCT
ejpam-5576	319	7	2024	2024	NUM
ejpam-5576	319	8	.	.	PUNCT
ejpam-5576	320	1	[	[	X
ejpam-5576	320	2	33	33	NUM
ejpam-5576	320	3	]	]	X
ejpam-5576	320	4	ndolane	ndolane	ADJ
ejpam-5576	320	5	sene	sene	NOUN
ejpam-5576	320	6	and	and	CCONJ
ejpam-5576	320	7	ameth	ameth	ADJ
ejpam-5576	320	8	ndiaye	ndiaye	NOUN
ejpam-5576	320	9	.	.	PUNCT
ejpam-5576	321	1	on	on	ADP
ejpam-5576	321	2	class	class	NOUN
ejpam-5576	321	3	of	of	ADP
ejpam-5576	321	4	fractional	fractional	ADJ
ejpam-5576	321	5	-	-	PUNCT
ejpam-5576	321	6	order	order	NOUN
ejpam-5576	321	7	chaotic	chaotic	ADJ
ejpam-5576	321	8	or	or	CCONJ
ejpam-5576	321	9	hyperchaotic	hyperchaotic	ADJ
ejpam-5576	321	10	systems	system	NOUN
ejpam-5576	321	11	in	in	ADP
ejpam-5576	321	12	the	the	DET
ejpam-5576	321	13	context	context	NOUN
ejpam-5576	321	14	of	of	ADP
ejpam-5576	321	15	the	the	DET
ejpam-5576	321	16	caputo	caputo	PROPN
ejpam-5576	321	17	fractional	fractional	ADJ
ejpam-5576	321	18	-	-	PUNCT
ejpam-5576	321	19	order	order	NOUN
ejpam-5576	321	20	derivative	derivative	NOUN
ejpam-5576	321	21	.	.	PUNCT
ejpam-5576	322	1	journal	journal	PROPN
ejpam-5576	322	2	of	of	ADP
ejpam-5576	322	3	mathematics	mathematic	NOUN
ejpam-5576	322	4	,	,	PUNCT
ejpam-5576	322	5	2020(1):8815377	2020(1):8815377	NOUN
ejpam-5576	322	6	,	,	PUNCT
ejpam-5576	322	7	2020	2020	NUM
ejpam-5576	322	8	.	.	PUNCT
ejpam-5576	323	1	[	[	X
ejpam-5576	323	2	34	34	NUM
ejpam-5576	323	3	]	]	X
ejpam-5576	323	4	ndolane	ndolane	ADJ
ejpam-5576	323	5	sene	sene	NOUN
ejpam-5576	323	6	and	and	CCONJ
ejpam-5576	323	7	ameth	ameth	ADJ
ejpam-5576	323	8	ndiaye	ndiaye	NOUN
ejpam-5576	323	9	.	.	PUNCT
ejpam-5576	324	1	on	on	ADP
ejpam-5576	324	2	class	class	NOUN
ejpam-5576	324	3	of	of	ADP
ejpam-5576	324	4	fractional	fractional	ADJ
ejpam-5576	324	5	-	-	PUNCT
ejpam-5576	324	6	order	order	NOUN
ejpam-5576	324	7	chaotic	chaotic	ADJ
ejpam-5576	324	8	or	or	CCONJ
ejpam-5576	324	9	hyperchaotic	hyperchaotic	ADJ
ejpam-5576	324	10	systems	system	NOUN
ejpam-5576	324	11	in	in	ADP
ejpam-5576	324	12	the	the	DET
ejpam-5576	324	13	context	context	NOUN
ejpam-5576	324	14	of	of	ADP
ejpam-5576	324	15	the	the	DET
ejpam-5576	324	16	caputo	caputo	PROPN
ejpam-5576	324	17	fractional	fractional	ADJ
ejpam-5576	324	18	-	-	PUNCT
ejpam-5576	324	19	order	order	NOUN
ejpam-5576	324	20	derivative	derivative	NOUN
ejpam-5576	324	21	.	.	PUNCT
ejpam-5576	325	1	journal	journal	PROPN
ejpam-5576	325	2	of	of	ADP
ejpam-5576	325	3	mathematics	mathematic	NOUN
ejpam-5576	325	4	,	,	PUNCT
ejpam-5576	325	5	2020(1):8815377	2020(1):8815377	NOUN
ejpam-5576	325	6	,	,	PUNCT
ejpam-5576	325	7	2020	2020	NUM
ejpam-5576	325	8	.	.	PUNCT
ejpam-5576	326	1	[	[	X
ejpam-5576	326	2	35	35	NUM
ejpam-5576	326	3	]	]	PUNCT
ejpam-5576	326	4	fernando	fernando	NOUN
ejpam-5576	326	5	e	e	PROPN
ejpam-5576	326	6	serrano	serrano	PROPN
ejpam-5576	326	7	,	,	PUNCT
ejpam-5576	326	8	jesus	jesus	PROPN
ejpam-5576	326	9	m	m	PROPN
ejpam-5576	326	10	munoz	munoz	PROPN
ejpam-5576	326	11	-	-	PUNCT
ejpam-5576	326	12	pacheco	pacheco	PROPN
ejpam-5576	326	13	,	,	PUNCT
ejpam-5576	326	14	and	and	CCONJ
ejpam-5576	326	15	marco	marco	PROPN
ejpam-5576	326	16	a	a	DET
ejpam-5576	326	17	flores	flore	NOUN
ejpam-5576	326	18	.	.	PUNCT
ejpam-5576	327	1	fractionalorder	fractionalorder	PROPN
ejpam-5576	327	2	projection	projection	NOUN
ejpam-5576	327	3	of	of	ADP
ejpam-5576	327	4	a	a	DET
ejpam-5576	327	5	chaotic	chaotic	ADJ
ejpam-5576	327	6	system	system	NOUN
ejpam-5576	327	7	with	with	ADP
ejpam-5576	327	8	hidden	hide	VERB
ejpam-5576	327	9	attractors	attractor	NOUN
ejpam-5576	327	10	and	and	CCONJ
ejpam-5576	327	11	its	its	PRON
ejpam-5576	327	12	passivity	passivity	NOUN
ejpam-5576	327	13	-	-	PUNCT
ejpam-5576	327	14	based	base	VERB
ejpam-5576	327	15	synchronization	synchronization	NOUN
ejpam-5576	327	16	.	.	PUNCT
ejpam-5576	328	1	frontiers	frontier	NOUN
ejpam-5576	328	2	in	in	ADP
ejpam-5576	328	3	applied	apply	VERB
ejpam-5576	328	4	mathematics	mathematic	NOUN
ejpam-5576	328	5	and	and	CCONJ
ejpam-5576	328	6	statistics	statistic	NOUN
ejpam-5576	328	7	,	,	PUNCT
ejpam-5576	328	8	9:1267664	9:1267664	NUM
ejpam-5576	328	9	,	,	PUNCT
ejpam-5576	328	10	2023	2023	NUM
ejpam-5576	328	11	.	.	PUNCT
ejpam-5576	329	1	[	[	X
ejpam-5576	329	2	36	36	NUM
ejpam-5576	329	3	]	]	PUNCT
ejpam-5576	329	4	fernando	fernando	NOUN
ejpam-5576	329	5	e	e	PROPN
ejpam-5576	329	6	serrano	serrano	PROPN
ejpam-5576	329	7	,	,	PUNCT
ejpam-5576	329	8	jesus	jesus	PROPN
ejpam-5576	329	9	m	m	PROPN
ejpam-5576	329	10	munoz	munoz	PROPN
ejpam-5576	329	11	-	-	PUNCT
ejpam-5576	329	12	pacheco	pacheco	PROPN
ejpam-5576	329	13	,	,	PUNCT
ejpam-5576	329	14	and	and	CCONJ
ejpam-5576	329	15	marco	marco	PROPN
ejpam-5576	329	16	a	a	DET
ejpam-5576	329	17	flores	flore	NOUN
ejpam-5576	329	18	.	.	PUNCT
ejpam-5576	330	1	fractionalt	fractionalt	PROPN
ejpam-5576	330	2	.	.	PUNCT
ejpam-5576	331	1	khalid	khalid	PROPN
ejpam-5576	331	2	/	/	SYM
ejpam-5576	331	3	eur	eur	PROPN
ejpam-5576	331	4	.	.	PUNCT
ejpam-5576	332	1	j.	j.	PROPN
ejpam-5576	332	2	pure	pure	PROPN
ejpam-5576	332	3	appl	appl	PROPN
ejpam-5576	332	4	.	.	PROPN
ejpam-5576	332	5	math	math	PROPN
ejpam-5576	332	6	,	,	PUNCT
ejpam-5576	332	7	18	18	NUM
ejpam-5576	332	8	(	(	PUNCT
ejpam-5576	332	9	1	1	NUM
ejpam-5576	332	10	)	)	PUNCT
ejpam-5576	332	11	(	(	PUNCT
ejpam-5576	332	12	2025	2025	NUM
ejpam-5576	332	13	)	)	PUNCT
ejpam-5576	332	14	,	,	PUNCT
ejpam-5576	332	15	5576	5576	NUM
ejpam-5576	332	16	16	16	NUM
ejpam-5576	332	17	of	of	ADP
ejpam-5576	332	18	16	16	NUM
ejpam-5576	332	19	order	order	NOUN
ejpam-5576	332	20	projection	projection	NOUN
ejpam-5576	332	21	of	of	ADP
ejpam-5576	332	22	a	a	DET
ejpam-5576	332	23	chaotic	chaotic	ADJ
ejpam-5576	332	24	system	system	NOUN
ejpam-5576	332	25	with	with	ADP
ejpam-5576	332	26	hidden	hide	VERB
ejpam-5576	332	27	attractors	attractor	NOUN
ejpam-5576	332	28	and	and	CCONJ
ejpam-5576	332	29	its	its	PRON
ejpam-5576	332	30	passivity	passivity	NOUN
ejpam-5576	332	31	-	-	PUNCT
ejpam-5576	332	32	based	base	VERB
ejpam-5576	332	33	synchronization	synchronization	NOUN
ejpam-5576	332	34	.	.	PUNCT
ejpam-5576	333	1	frontiers	frontier	NOUN
ejpam-5576	333	2	in	in	ADP
ejpam-5576	333	3	applied	apply	VERB
ejpam-5576	333	4	mathematics	mathematic	NOUN
ejpam-5576	333	5	and	and	CCONJ
ejpam-5576	333	6	statistics	statistic	NOUN
ejpam-5576	333	7	,	,	PUNCT
ejpam-5576	333	8	9:1267664	9:1267664	NUM
ejpam-5576	333	9	,	,	PUNCT
ejpam-5576	333	10	2023	2023	NUM
ejpam-5576	333	11	.	.	PUNCT
ejpam-5576	334	1	[	[	X
ejpam-5576	334	2	37	37	NUM
ejpam-5576	334	3	]	]	X
ejpam-5576	334	4	sonali	sonali	PROPN
ejpam-5576	334	5	sharma	sharma	PROPN
ejpam-5576	334	6	,	,	PUNCT
ejpam-5576	334	7	kuldip	kuldip	PROPN
ejpam-5576	334	8	raj	raj	PROPN
ejpam-5576	334	9	,	,	PUNCT
ejpam-5576	334	10	sunil	sunil	PROPN
ejpam-5576	334	11	k	k	PROPN
ejpam-5576	334	12	sharma	sharma	PROPN
ejpam-5576	334	13	,	,	PUNCT
ejpam-5576	334	14	thwiba	thwiba	PROPN
ejpam-5576	334	15	a	a	DET
ejpam-5576	334	16	khalid	khalid	PROPN
ejpam-5576	334	17	,	,	PUNCT
ejpam-5576	334	18	arafa	arafa	NOUN
ejpam-5576	334	19	o	o	PROPN
ejpam-5576	334	20	mustafa	mustafa	PROPN
ejpam-5576	334	21	,	,	PUNCT
ejpam-5576	334	22	mustafa	mustafa	PROPN
ejpam-5576	334	23	m	m	PROPN
ejpam-5576	334	24	mohammed	mohammed	PROPN
ejpam-5576	334	25	,	,	PUNCT
ejpam-5576	334	26	runda	runda	PROPN
ejpam-5576	334	27	aa	aa	PROPN
ejpam-5576	334	28	bashir	bashir	PROPN
ejpam-5576	334	29	,	,	PUNCT
ejpam-5576	334	30	and	and	CCONJ
ejpam-5576	334	31	awad	awad	VERB
ejpam-5576	334	32	a	a	DET
ejpam-5576	334	33	bakery	bakery	NOUN
ejpam-5576	334	34	.	.	PUNCT
ejpam-5576	335	1	applications	application	NOUN
ejpam-5576	335	2	of	of	ADP
ejpam-5576	335	3	strongly	strongly	ADV
ejpam-5576	335	4	deferred	defer	VERB
ejpam-5576	335	5	weighted	weight	VERB
ejpam-5576	335	6	convergence	convergence	NOUN
ejpam-5576	335	7	in	in	ADP
ejpam-5576	335	8	the	the	DET
ejpam-5576	335	9	environment	environment	NOUN
ejpam-5576	335	10	of	of	ADP
ejpam-5576	335	11	uncertainty	uncertainty	NOUN
ejpam-5576	335	12	.	.	PUNCT
ejpam-5576	336	1	international	international	ADJ
ejpam-5576	336	2	journal	journal	NOUN
ejpam-5576	336	3	of	of	ADP
ejpam-5576	336	4	analysis	analysis	NOUN
ejpam-5576	336	5	and	and	CCONJ
ejpam-5576	336	6	applications	application	NOUN
ejpam-5576	336	7	,	,	PUNCT
ejpam-5576	336	8	22:181–181	22:181–181	PROPN
ejpam-5576	336	9	,	,	PUNCT
ejpam-5576	336	10	2024	2024	NUM
ejpam-5576	336	11	.	.	PUNCT
ejpam-5576	337	1	[	[	X
ejpam-5576	337	2	38	38	NUM
ejpam-5576	337	3	]	]	X
ejpam-5576	337	4	jagdev	jagdev	PROPN
ejpam-5576	337	5	singh	singh	PROPN
ejpam-5576	337	6	,	,	PUNCT
ejpam-5576	337	7	hassan	hassan	PROPN
ejpam-5576	337	8	kamil	kamil	PROPN
ejpam-5576	337	9	jassim	jassim	PROPN
ejpam-5576	337	10	,	,	PUNCT
ejpam-5576	337	11	devendra	devendra	PROPN
ejpam-5576	337	12	kumar	kumar	PROPN
ejpam-5576	337	13	,	,	PUNCT
ejpam-5576	337	14	and	and	CCONJ
ejpam-5576	337	15	ved	ve	VERB
ejpam-5576	337	16	prakash	prakash	PROPN
ejpam-5576	337	17	dubey	dubey	PROPN
ejpam-5576	337	18	.	.	PUNCT
ejpam-5576	338	1	fractal	fractal	ADJ
ejpam-5576	338	2	dynamics	dynamic	NOUN
ejpam-5576	338	3	and	and	CCONJ
ejpam-5576	338	4	computational	computational	ADJ
ejpam-5576	338	5	analysis	analysis	NOUN
ejpam-5576	338	6	of	of	ADP
ejpam-5576	338	7	local	local	ADJ
ejpam-5576	338	8	fractional	fractional	ADJ
ejpam-5576	338	9	poisson	poisson	NOUN
ejpam-5576	338	10	equations	equation	NOUN
ejpam-5576	338	11	arising	arise	VERB
ejpam-5576	338	12	in	in	ADP
ejpam-5576	338	13	electrostatics	electrostatic	NOUN
ejpam-5576	338	14	.	.	PUNCT
ejpam-5576	339	1	communications	communication	NOUN
ejpam-5576	339	2	in	in	ADP
ejpam-5576	339	3	theoretical	theoretical	ADJ
ejpam-5576	339	4	physics	physics	NOUN
ejpam-5576	339	5	,	,	PUNCT
ejpam-5576	339	6	75(12):125002	75(12):125002	NOUN
ejpam-5576	339	7	,	,	PUNCT
ejpam-5576	339	8	2023	2023	NUM
ejpam-5576	339	9	.	.	PUNCT
ejpam-5576	340	1	[	[	X
ejpam-5576	340	2	39	39	NUM
ejpam-5576	340	3	]	]	X
ejpam-5576	340	4	jagdev	jagdev	PROPN
ejpam-5576	340	5	singh	singh	PROPN
ejpam-5576	340	6	,	,	PUNCT
ejpam-5576	340	7	hassan	hassan	PROPN
ejpam-5576	340	8	kamil	kamil	PROPN
ejpam-5576	340	9	jassim	jassim	PROPN
ejpam-5576	340	10	,	,	PUNCT
ejpam-5576	340	11	devendra	devendra	PROPN
ejpam-5576	340	12	kumar	kumar	PROPN
ejpam-5576	340	13	,	,	PUNCT
ejpam-5576	340	14	and	and	CCONJ
ejpam-5576	340	15	ved	ve	VERB
ejpam-5576	340	16	prakash	prakash	PROPN
ejpam-5576	340	17	dubey	dubey	PROPN
ejpam-5576	340	18	.	.	PUNCT
ejpam-5576	341	1	fractal	fractal	ADJ
ejpam-5576	341	2	dynamics	dynamic	NOUN
ejpam-5576	341	3	and	and	CCONJ
ejpam-5576	341	4	computational	computational	ADJ
ejpam-5576	341	5	analysis	analysis	NOUN
ejpam-5576	341	6	of	of	ADP
ejpam-5576	341	7	local	local	ADJ
ejpam-5576	341	8	fractional	fractional	ADJ
ejpam-5576	341	9	poisson	poisson	NOUN
ejpam-5576	341	10	equations	equation	NOUN
ejpam-5576	341	11	arising	arise	VERB
ejpam-5576	341	12	in	in	ADP
ejpam-5576	341	13	electrostatics	electrostatic	NOUN
ejpam-5576	341	14	.	.	PUNCT
ejpam-5576	342	1	communications	communication	NOUN
ejpam-5576	342	2	in	in	ADP
ejpam-5576	342	3	theoretical	theoretical	ADJ
ejpam-5576	342	4	physics	physics	NOUN
ejpam-5576	342	5	,	,	PUNCT
ejpam-5576	342	6	75(12):125002	75(12):125002	NOUN
ejpam-5576	342	7	,	,	PUNCT
ejpam-5576	342	8	2023	2023	NUM
ejpam-5576	342	9	.	.	PUNCT
ejpam-5576	343	1	[	[	X
ejpam-5576	343	2	40	40	NUM
ejpam-5576	343	3	]	]	PUNCT
ejpam-5576	343	4	p	p	NOUN
ejpam-5576	343	5	suhasini	suhasini	PROPN
ejpam-5576	343	6	and	and	CCONJ
ejpam-5576	343	7	s	s	PROPN
ejpam-5576	343	8	kanchana	kanchana	PROPN
ejpam-5576	343	9	.	.	PUNCT
ejpam-5576	343	10	enhanced	enhance	VERB
ejpam-5576	343	11	fractional	fractional	ADJ
ejpam-5576	343	12	order	order	NOUN
ejpam-5576	343	13	lorenz	lorenz	PROPN
ejpam-5576	343	14	system	system	NOUN
ejpam-5576	343	15	for	for	ADP
ejpam-5576	343	16	medical	medical	ADJ
ejpam-5576	343	17	image	image	NOUN
ejpam-5576	343	18	encryption	encryption	NOUN
ejpam-5576	343	19	in	in	ADP
ejpam-5576	343	20	cloud	cloud	NOUN
ejpam-5576	343	21	-	-	PUNCT
ejpam-5576	343	22	based	base	VERB
ejpam-5576	343	23	healthcare	healthcare	PROPN
ejpam-5576	343	24	administration	administration	NOUN
ejpam-5576	343	25	.	.	PUNCT
ejpam-5576	344	1	international	international	ADJ
ejpam-5576	344	2	journal	journal	PROPN
ejpam-5576	344	3	of	of	ADP
ejpam-5576	344	4	computer	computer	NOUN
ejpam-5576	344	5	networks	network	NOUN
ejpam-5576	344	6	and	and	CCONJ
ejpam-5576	344	7	applications	application	NOUN
ejpam-5576	344	8	(	(	PUNCT
ejpam-5576	344	9	ijcna	ijcna	PROPN
ejpam-5576	344	10	)	)	PUNCT
ejpam-5576	344	11	,	,	PUNCT
ejpam-5576	344	12	9	9	NUM
ejpam-5576	344	13	,	,	PUNCT
ejpam-5576	344	14	2022	2022	NUM
ejpam-5576	344	15	.	.	PUNCT
ejpam-5576	345	1	[	[	X
ejpam-5576	345	2	41	41	NUM
ejpam-5576	345	3	]	]	X
ejpam-5576	345	4	hoang	hoang	PROPN
ejpam-5576	345	5	t	t	PROPN
ejpam-5576	345	6	tuan	tuan	PROPN
ejpam-5576	345	7	and	and	CCONJ
ejpam-5576	345	8	hieu	hieu	PROPN
ejpam-5576	345	9	trinh	trinh	PROPN
ejpam-5576	345	10	.	.	PUNCT
ejpam-5576	346	1	stability	stability	NOUN
ejpam-5576	346	2	of	of	ADP
ejpam-5576	346	3	fractional	fractional	ADJ
ejpam-5576	346	4	-	-	PUNCT
ejpam-5576	346	5	order	order	NOUN
ejpam-5576	346	6	nonlinear	nonlinear	ADJ
ejpam-5576	346	7	systems	system	NOUN
ejpam-5576	346	8	by	by	ADP
ejpam-5576	346	9	lyapunov	lyapunov	ADJ
ejpam-5576	346	10	direct	direct	ADJ
ejpam-5576	346	11	method	method	NOUN
ejpam-5576	346	12	.	.	PUNCT
ejpam-5576	347	1	iet	iet	PROPN
ejpam-5576	347	2	control	control	PROPN
ejpam-5576	347	3	theory	theory	PROPN
ejpam-5576	347	4	&	&	CCONJ
ejpam-5576	347	5	applications	application	NOUN
ejpam-5576	347	6	,	,	PUNCT
ejpam-5576	347	7	12(17):2417–2422	12(17):2417–2422	NUM
ejpam-5576	347	8	,	,	PUNCT
ejpam-5576	347	9	2018	2018	NUM
ejpam-5576	347	10	.	.	PUNCT
ejpam-5576	348	1	[	[	X
ejpam-5576	348	2	42	42	NUM
ejpam-5576	348	3	]	]	X
ejpam-5576	348	4	qigui	qigui	PROPN
ejpam-5576	348	5	yang	yang	PROPN
ejpam-5576	348	6	,	,	PUNCT
ejpam-5576	348	7	guangrong	guangrong	PROPN
ejpam-5576	348	8	chen	chen	PROPN
ejpam-5576	348	9	,	,	PUNCT
ejpam-5576	348	10	and	and	CCONJ
ejpam-5576	348	11	tianshou	tianshou	PROPN
ejpam-5576	348	12	zhou	zhou	PROPN
ejpam-5576	348	13	.	.	PUNCT
ejpam-5576	349	1	a	a	DET
ejpam-5576	349	2	unified	unify	VERB
ejpam-5576	349	3	lorenz	lorenz	PROPN
ejpam-5576	349	4	-	-	PUNCT
ejpam-5576	349	5	type	type	NOUN
ejpam-5576	349	6	system	system	NOUN
ejpam-5576	349	7	and	and	CCONJ
ejpam-5576	349	8	its	its	PRON
ejpam-5576	349	9	canonical	canonical	ADJ
ejpam-5576	349	10	form	form	NOUN
ejpam-5576	349	11	.	.	PUNCT
ejpam-5576	350	1	international	international	ADJ
ejpam-5576	350	2	journal	journal	NOUN
ejpam-5576	350	3	of	of	ADP
ejpam-5576	350	4	bifurcation	bifurcation	NOUN
ejpam-5576	350	5	and	and	CCONJ
ejpam-5576	350	6	chaos	chaos	NOUN
ejpam-5576	350	7	,	,	PUNCT
ejpam-5576	350	8	16(10):2855–2871	16(10):2855–2871	NUM
ejpam-5576	350	9	,	,	PUNCT
ejpam-5576	350	10	2006	2006	NUM
ejpam-5576	350	11	.	.	PUNCT
ejpam-5576	351	1	[	[	X
ejpam-5576	351	2	43	43	NUM
ejpam-5576	351	3	]	]	X
ejpam-5576	351	4	xiao	xiao	PROPN
ejpam-5576	351	5	-	-	PUNCT
ejpam-5576	351	6	jun	jun	PROPN
ejpam-5576	351	7	yang	yang	PROPN
ejpam-5576	351	8	.	.	PUNCT
ejpam-5576	351	9	general	general	ADJ
ejpam-5576	351	10	fractional	fractional	ADJ
ejpam-5576	351	11	derivatives	derivative	NOUN
ejpam-5576	351	12	:	:	PUNCT
ejpam-5576	351	13	theory	theory	NOUN
ejpam-5576	351	14	,	,	PUNCT
ejpam-5576	351	15	methods	method	NOUN
ejpam-5576	351	16	and	and	CCONJ
ejpam-5576	351	17	applications	application	NOUN
ejpam-5576	351	18	.	.	PUNCT
ejpam-5576	352	1	chapman	chapman	NOUN
ejpam-5576	352	2	and	and	CCONJ
ejpam-5576	352	3	hall	hall	PROPN
ejpam-5576	352	4	/	/	SYM
ejpam-5576	352	5	crc	crc	NOUN
ejpam-5576	352	6	,	,	PUNCT
ejpam-5576	352	7	2019	2019	NUM
ejpam-5576	352	8	.	.	PUNCT
ejpam-5576	353	1	[	[	X
ejpam-5576	353	2	44	44	NUM
ejpam-5576	353	3	]	]	PUNCT
ejpam-5576	353	4	fuchen	fuchen	PROPN
ejpam-5576	353	5	zhang	zhang	PROPN
ejpam-5576	353	6	,	,	PUNCT
ejpam-5576	353	7	rui	rui	PROPN
ejpam-5576	353	8	chen	chen	PROPN
ejpam-5576	353	9	,	,	PUNCT
ejpam-5576	353	10	xingyuan	xingyuan	PROPN
ejpam-5576	353	11	wang	wang	PROPN
ejpam-5576	353	12	,	,	PUNCT
ejpam-5576	353	13	xiusu	xiusu	PROPN
ejpam-5576	353	14	chen	chen	PROPN
ejpam-5576	353	15	,	,	PUNCT
ejpam-5576	353	16	chunlai	chunlai	PROPN
ejpam-5576	353	17	mu	mu	PROPN
ejpam-5576	353	18	,	,	PUNCT
ejpam-5576	353	19	and	and	CCONJ
ejpam-5576	353	20	xiaofeng	xiaofeng	PROPN
ejpam-5576	353	21	liao	liao	PROPN
ejpam-5576	353	22	.	.	PUNCT
ejpam-5576	354	1	dynamics	dynamic	NOUN
ejpam-5576	354	2	of	of	ADP
ejpam-5576	354	3	a	a	DET
ejpam-5576	354	4	new	new	ADJ
ejpam-5576	354	5	5d	5d	NUM
ejpam-5576	354	6	hyperchaotic	hyperchaotic	ADJ
ejpam-5576	354	7	system	system	NOUN
ejpam-5576	354	8	of	of	ADP
ejpam-5576	354	9	lorenz	lorenz	PROPN
ejpam-5576	354	10	type	type	PROPN
ejpam-5576	354	11	.	.	PUNCT
ejpam-5576	355	1	international	international	ADJ
ejpam-5576	355	2	journal	journal	NOUN
ejpam-5576	355	3	of	of	ADP
ejpam-5576	355	4	bifurcation	bifurcation	NOUN
ejpam-5576	355	5	and	and	CCONJ
ejpam-5576	355	6	chaos	chaos	NOUN
ejpam-5576	355	7	,	,	PUNCT
ejpam-5576	355	8	28(03):1850036	28(03):1850036	NOUN
ejpam-5576	355	9	,	,	PUNCT
ejpam-5576	355	10	2018	2018	NUM
ejpam-5576	355	11	.	.	PUNCT
ejpam-5576	356	1	[	[	X
ejpam-5576	356	2	45	45	NUM
ejpam-5576	356	3	]	]	PUNCT
ejpam-5576	356	4	xuefeng	xuefeng	PROPN
ejpam-5576	356	5	zhang	zhang	PROPN
ejpam-5576	356	6	,	,	PUNCT
ejpam-5576	356	7	driss	driss	PROPN
ejpam-5576	356	8	boutat	boutat	PROPN
ejpam-5576	356	9	,	,	PUNCT
ejpam-5576	356	10	and	and	CCONJ
ejpam-5576	356	11	dayan	dayan	PROPN
ejpam-5576	356	12	liu	liu	PROPN
ejpam-5576	356	13	.	.	PUNCT
ejpam-5576	357	1	applications	application	NOUN
ejpam-5576	357	2	of	of	ADP
ejpam-5576	357	3	fractional	fractional	ADJ
ejpam-5576	357	4	operator	operator	NOUN
ejpam-5576	357	5	in	in	ADP
ejpam-5576	357	6	image	image	NOUN
ejpam-5576	357	7	processing	processing	NOUN
ejpam-5576	357	8	and	and	CCONJ
ejpam-5576	357	9	stability	stability	NOUN
ejpam-5576	357	10	of	of	ADP
ejpam-5576	357	11	control	control	NOUN
ejpam-5576	357	12	systems	system	NOUN
ejpam-5576	357	13	,	,	PUNCT
ejpam-5576	357	14	2023	2023	NUM
ejpam-5576	357	15	.	.	PUNCT