id	sid	tid	token	lemma	pos
ejpam-5462	1	1	european	european	PROPN
ejpam-5462	1	2	journal	journal	PROPN
ejpam-5462	1	3	of	of	ADP
ejpam-5462	1	4	pure	pure	ADJ
ejpam-5462	1	5	and	and	CCONJ
ejpam-5462	1	6	applied	apply	VERB
ejpam-5462	1	7	mathematics	mathematic	NOUN
ejpam-5462	1	8	vol	vol	NOUN
ejpam-5462	1	9	.	.	PROPN
ejpam-5462	2	1	17	17	NUM
ejpam-5462	2	2	,	,	PUNCT
ejpam-5462	2	3	no	no	INTJ
ejpam-5462	2	4	.	.	NOUN
ejpam-5462	2	5	4	4	NUM
ejpam-5462	2	6	,	,	PUNCT
ejpam-5462	2	7	2024	2024	NUM
ejpam-5462	2	8	,	,	PUNCT
ejpam-5462	2	9	3915	3915	NUM
ejpam-5462	2	10	-	-	SYM
ejpam-5462	2	11	3931	3931	NUM
ejpam-5462	2	12	issn	issn	PROPN
ejpam-5462	2	13	1307	1307	NUM
ejpam-5462	2	14	-	-	SYM
ejpam-5462	2	15	5543	5543	NUM
ejpam-5462	2	16	–	–	PUNCT
ejpam-5462	2	17	ejpam.com	ejpam.com	X
ejpam-5462	2	18	published	publish	VERB
ejpam-5462	2	19	by	by	ADP
ejpam-5462	2	20	new	new	PROPN
ejpam-5462	2	21	york	york	PROPN
ejpam-5462	2	22	business	business	PROPN
ejpam-5462	2	23	global	global	PROPN
ejpam-5462	2	24	the	the	DET
ejpam-5462	2	25	impact	impact	NOUN
ejpam-5462	2	26	of	of	ADP
ejpam-5462	2	27	white	white	ADJ
ejpam-5462	2	28	noise	noise	NOUN
ejpam-5462	2	29	on	on	ADP
ejpam-5462	2	30	chaotic	chaotic	ADJ
ejpam-5462	2	31	behavior	behavior	NOUN
ejpam-5462	2	32	in	in	ADP
ejpam-5462	2	33	a	a	DET
ejpam-5462	2	34	financial	financial	ADJ
ejpam-5462	2	35	fractional	fractional	ADJ
ejpam-5462	2	36	system	system	NOUN
ejpam-5462	2	37	with	with	ADP
ejpam-5462	2	38	constant	constant	ADJ
ejpam-5462	2	39	and	and	CCONJ
ejpam-5462	2	40	variable	variable	ADJ
ejpam-5462	2	41	order	order	NOUN
ejpam-5462	2	42	:	:	PUNCT
ejpam-5462	2	43	a	a	DET
ejpam-5462	2	44	comparative	comparative	ADJ
ejpam-5462	2	45	study	study	NOUN
ejpam-5462	2	46	mohammed	mohammed	PROPN
ejpam-5462	2	47	berir1,2,∗	berir1,2,∗	PROPN
ejpam-5462	2	48	1	1	NUM
ejpam-5462	2	49	department	department	NOUN
ejpam-5462	2	50	of	of	ADP
ejpam-5462	2	51	mathematics	mathematic	NOUN
ejpam-5462	2	52	,	,	PUNCT
ejpam-5462	2	53	faculty	faculty	NOUN
ejpam-5462	2	54	of	of	ADP
ejpam-5462	2	55	science	science	NOUN
ejpam-5462	2	56	,	,	PUNCT
ejpam-5462	2	57	al	al	PROPN
ejpam-5462	2	58	-	-	PUNCT
ejpam-5462	2	59	baha	baha	PROPN
ejpam-5462	2	60	university	university	PROPN
ejpam-5462	2	61	,	,	PUNCT
ejpam-5462	2	62	al	al	PROPN
ejpam-5462	2	63	-	-	PUNCT
ejpam-5462	2	64	baha	baha	PROPN
ejpam-5462	2	65	,	,	PUNCT
ejpam-5462	2	66	saudi	saudi	PROPN
ejpam-5462	2	67	arabia	arabia	PROPN
ejpam-5462	2	68	2	2	NUM
ejpam-5462	2	69	department	department	NOUN
ejpam-5462	2	70	of	of	ADP
ejpam-5462	2	71	mathematics	mathematic	NOUN
ejpam-5462	2	72	,	,	PUNCT
ejpam-5462	2	73	faculty	faculty	NOUN
ejpam-5462	2	74	of	of	ADP
ejpam-5462	2	75	science	science	NOUN
ejpam-5462	2	76	,	,	PUNCT
ejpam-5462	2	77	bakht	bakht	PROPN
ejpam-5462	2	78	al	al	PROPN
ejpam-5462	2	79	-	-	PUNCT
ejpam-5462	2	80	ruda	ruda	PROPN
ejpam-5462	2	81	university	university	PROPN
ejpam-5462	2	82	,	,	PUNCT
ejpam-5462	2	83	duwaym	duwaym	PROPN
ejpam-5462	2	84	,	,	PUNCT
ejpam-5462	2	85	sudan	sudan	PROPN
ejpam-5462	2	86	abstract	abstract	NOUN
ejpam-5462	2	87	.	.	PUNCT
ejpam-5462	3	1	in	in	ADP
ejpam-5462	3	2	this	this	DET
ejpam-5462	3	3	study	study	NOUN
ejpam-5462	3	4	,	,	PUNCT
ejpam-5462	3	5	we	we	PRON
ejpam-5462	3	6	investigated	investigate	VERB
ejpam-5462	3	7	the	the	DET
ejpam-5462	3	8	impact	impact	NOUN
ejpam-5462	3	9	of	of	ADP
ejpam-5462	3	10	white	white	ADJ
ejpam-5462	3	11	noise	noise	NOUN
ejpam-5462	3	12	on	on	ADP
ejpam-5462	3	13	the	the	DET
ejpam-5462	3	14	chaotic	chaotic	ADJ
ejpam-5462	3	15	dynamics	dynamic	NOUN
ejpam-5462	3	16	of	of	ADP
ejpam-5462	3	17	a	a	DET
ejpam-5462	3	18	financial	financial	ADJ
ejpam-5462	3	19	system	system	NOUN
ejpam-5462	3	20	with	with	ADP
ejpam-5462	3	21	caputo	caputo	PROPN
ejpam-5462	3	22	fractional	fractional	ADJ
ejpam-5462	3	23	derivatives	derivative	NOUN
ejpam-5462	3	24	of	of	ADP
ejpam-5462	3	25	constantand	constantand	ADJ
ejpam-5462	3	26	variable	variable	NOUN
ejpam-5462	3	27	-	-	PUNCT
ejpam-5462	3	28	order	order	NOUN
ejpam-5462	3	29	.	.	PUNCT
ejpam-5462	4	1	we	we	PRON
ejpam-5462	4	2	solve	solve	VERB
ejpam-5462	4	3	these	these	DET
ejpam-5462	4	4	fractional	fractional	ADJ
ejpam-5462	4	5	financial	financial	ADJ
ejpam-5462	4	6	systems	system	NOUN
ejpam-5462	4	7	numerically	numerically	ADV
ejpam-5462	4	8	.	.	PUNCT
ejpam-5462	5	1	we	we	PRON
ejpam-5462	5	2	analyze	analyze	VERB
ejpam-5462	5	3	the	the	DET
ejpam-5462	5	4	chaotic	chaotic	ADJ
ejpam-5462	5	5	behavior	behavior	NOUN
ejpam-5462	5	6	of	of	ADP
ejpam-5462	5	7	these	these	DET
ejpam-5462	5	8	fractional	fractional	ADJ
ejpam-5462	5	9	-	-	PUNCT
ejpam-5462	5	10	order	order	NOUN
ejpam-5462	5	11	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	5	12	systems	system	NOUN
ejpam-5462	5	13	through	through	ADP
ejpam-5462	5	14	simulations	simulation	NOUN
ejpam-5462	5	15	,	,	PUNCT
ejpam-5462	5	16	study	study	VERB
ejpam-5462	5	17	the	the	DET
ejpam-5462	5	18	effects	effect	NOUN
ejpam-5462	5	19	of	of	ADP
ejpam-5462	5	20	white	white	ADJ
ejpam-5462	5	21	noise	noise	NOUN
ejpam-5462	5	22	on	on	ADP
ejpam-5462	5	23	chaotic	chaotic	ADJ
ejpam-5462	5	24	dynamics	dynamic	NOUN
ejpam-5462	5	25	,	,	PUNCT
ejpam-5462	5	26	and	and	CCONJ
ejpam-5462	5	27	provide	provide	VERB
ejpam-5462	5	28	a	a	DET
ejpam-5462	5	29	comparison	comparison	NOUN
ejpam-5462	5	30	between	between	ADP
ejpam-5462	5	31	fractional	fractional	ADJ
ejpam-5462	5	32	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	5	33	systems	system	NOUN
ejpam-5462	5	34	of	of	ADP
ejpam-5462	5	35	constant	constant	ADJ
ejpam-5462	5	36	and	and	CCONJ
ejpam-5462	5	37	variable	variable	ADJ
ejpam-5462	5	38	orders	order	NOUN
ejpam-5462	5	39	.	.	PUNCT
ejpam-5462	6	1	the	the	DET
ejpam-5462	6	2	study	study	NOUN
ejpam-5462	6	3	reveals	reveal	VERB
ejpam-5462	6	4	that	that	SCONJ
ejpam-5462	6	5	white	white	ADJ
ejpam-5462	6	6	noise	noise	NOUN
ejpam-5462	6	7	can	can	AUX
ejpam-5462	6	8	either	either	CCONJ
ejpam-5462	6	9	amplify	amplify	VERB
ejpam-5462	6	10	or	or	CCONJ
ejpam-5462	6	11	suppress	suppress	ADJ
ejpam-5462	6	12	chaos	chaos	NOUN
ejpam-5462	6	13	,	,	PUNCT
ejpam-5462	6	14	with	with	ADP
ejpam-5462	6	15	significant	significant	ADJ
ejpam-5462	6	16	differences	difference	NOUN
ejpam-5462	6	17	observed	observe	VERB
ejpam-5462	6	18	between	between	ADP
ejpam-5462	6	19	the	the	DET
ejpam-5462	6	20	constantand	constantand	NOUN
ejpam-5462	6	21	variable	variable	ADJ
ejpam-5462	6	22	-	-	PUNCT
ejpam-5462	6	23	order	order	NOUN
ejpam-5462	6	24	cases	case	NOUN
ejpam-5462	6	25	.	.	PUNCT
ejpam-5462	7	1	we	we	PRON
ejpam-5462	7	2	obtained	obtain	VERB
ejpam-5462	7	3	numerous	numerous	ADJ
ejpam-5462	7	4	intriguing	intriguing	ADJ
ejpam-5462	7	5	graphical	graphical	ADJ
ejpam-5462	7	6	findings	finding	NOUN
ejpam-5462	7	7	for	for	ADP
ejpam-5462	7	8	the	the	DET
ejpam-5462	7	9	model	model	NOUN
ejpam-5462	7	10	by	by	ADP
ejpam-5462	7	11	evaluating	evaluate	VERB
ejpam-5462	7	12	various	various	ADJ
ejpam-5462	7	13	scenarios	scenario	NOUN
ejpam-5462	7	14	.	.	PUNCT
ejpam-5462	8	1	the	the	DET
ejpam-5462	8	2	findings	finding	NOUN
ejpam-5462	8	3	provide	provide	VERB
ejpam-5462	8	4	useful	useful	ADJ
ejpam-5462	8	5	information	information	NOUN
ejpam-5462	8	6	for	for	ADP
ejpam-5462	8	7	better	well	ADJ
ejpam-5462	8	8	understanding	understand	VERB
ejpam-5462	8	9	financial	financial	ADJ
ejpam-5462	8	10	market	market	NOUN
ejpam-5462	8	11	dynamics	dynamic	NOUN
ejpam-5462	8	12	in	in	ADP
ejpam-5462	8	13	the	the	DET
ejpam-5462	8	14	presence	presence	NOUN
ejpam-5462	8	15	of	of	ADP
ejpam-5462	8	16	noise	noise	NOUN
ejpam-5462	8	17	.	.	PUNCT
ejpam-5462	9	1	2020	2020	NUM
ejpam-5462	9	2	mathematics	mathematic	NOUN
ejpam-5462	9	3	subject	subject	NOUN
ejpam-5462	9	4	classifications	classification	NOUN
ejpam-5462	9	5	:	:	PUNCT
ejpam-5462	9	6	34c28	34c28	NUM
ejpam-5462	9	7	,	,	PUNCT
ejpam-5462	9	8	34a08	34a08	NUM
ejpam-5462	9	9	,	,	PUNCT
ejpam-5462	9	10	65p20	65p20	NUM
ejpam-5462	9	11	key	key	ADJ
ejpam-5462	9	12	words	word	NOUN
ejpam-5462	9	13	and	and	CCONJ
ejpam-5462	9	14	phrases	phrase	NOUN
ejpam-5462	9	15	:	:	PUNCT
ejpam-5462	9	16	constant	constant	ADJ
ejpam-5462	9	17	and	and	CCONJ
ejpam-5462	9	18	variable	variable	ADJ
ejpam-5462	9	19	-	-	PUNCT
ejpam-5462	9	20	order	order	NOUN
ejpam-5462	9	21	fractional	fractional	ADJ
ejpam-5462	9	22	derivatives	derivative	NOUN
ejpam-5462	9	23	,	,	PUNCT
ejpam-5462	9	24	white	white	ADJ
ejpam-5462	9	25	noise	noise	NOUN
ejpam-5462	9	26	,	,	PUNCT
ejpam-5462	9	27	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	9	28	1	1	NUM
ejpam-5462	9	29	.	.	PUNCT
ejpam-5462	9	30	introduction	introduction	NOUN
ejpam-5462	9	31	fractional	fractional	ADJ
ejpam-5462	9	32	calculus	calculus	NOUN
ejpam-5462	9	33	has	have	AUX
ejpam-5462	9	34	garnered	garner	VERB
ejpam-5462	9	35	significant	significant	ADJ
ejpam-5462	9	36	interest	interest	NOUN
ejpam-5462	9	37	in	in	ADP
ejpam-5462	9	38	the	the	DET
ejpam-5462	9	39	modeling	modeling	NOUN
ejpam-5462	9	40	of	of	ADP
ejpam-5462	9	41	intricate	intricate	ADJ
ejpam-5462	9	42	systems	system	NOUN
ejpam-5462	9	43	,	,	PUNCT
ejpam-5462	9	44	particularly	particularly	ADV
ejpam-5462	9	45	in	in	ADP
ejpam-5462	9	46	the	the	DET
ejpam-5462	9	47	field	field	NOUN
ejpam-5462	9	48	of	of	ADP
ejpam-5462	9	49	finance	finance	NOUN
ejpam-5462	9	50	,	,	PUNCT
ejpam-5462	9	51	owing	owe	VERB
ejpam-5462	9	52	to	to	ADP
ejpam-5462	9	53	its	its	PRON
ejpam-5462	9	54	adaptable	adaptable	ADJ
ejpam-5462	9	55	nature	nature	NOUN
ejpam-5462	9	56	and	and	CCONJ
ejpam-5462	9	57	memory	memory	NOUN
ejpam-5462	9	58	characteristics[8	characteristics[8	PROPN
ejpam-5462	9	59	,	,	PUNCT
ejpam-5462	9	60	30].using	30].use	VERB
ejpam-5462	9	61	the	the	DET
ejpam-5462	9	62	fractional	fractional	ADJ
ejpam-5462	9	63	concept	concept	NOUN
ejpam-5462	9	64	,	,	PUNCT
ejpam-5462	9	65	the	the	DET
ejpam-5462	9	66	authors	author	NOUN
ejpam-5462	9	67	investigated	investigate	VERB
ejpam-5462	9	68	mathematical	mathematical	ADJ
ejpam-5462	9	69	models	model	NOUN
ejpam-5462	9	70	and	and	CCONJ
ejpam-5462	9	71	obtained	obtain	VERB
ejpam-5462	9	72	intriguing	intriguing	ADJ
ejpam-5462	9	73	findings	finding	NOUN
ejpam-5462	9	74	[	[	X
ejpam-5462	9	75	4	4	NUM
ejpam-5462	9	76	,	,	PUNCT
ejpam-5462	9	77	12	12	NUM
ejpam-5462	9	78	]	]	PUNCT
ejpam-5462	9	79	.	.	PUNCT
ejpam-5462	10	1	furthermore	furthermore	ADV
ejpam-5462	10	2	,	,	PUNCT
ejpam-5462	10	3	it	it	PRON
ejpam-5462	10	4	is	be	AUX
ejpam-5462	10	5	evident	evident	ADJ
ejpam-5462	10	6	that	that	SCONJ
ejpam-5462	10	7	additional	additional	ADJ
ejpam-5462	10	8	research	research	NOUN
ejpam-5462	10	9	is	be	AUX
ejpam-5462	10	10	required	require	VERB
ejpam-5462	10	11	to	to	PART
ejpam-5462	10	12	render	render	VERB
ejpam-5462	10	13	fractional	fractional	ADJ
ejpam-5462	10	14	calculus	calculus	NOUN
ejpam-5462	10	15	suitable	suitable	ADJ
ejpam-5462	10	16	for	for	ADP
ejpam-5462	10	17	researchers	researcher	NOUN
ejpam-5462	10	18	worldwide	worldwide	ADV
ejpam-5462	10	19	.	.	PUNCT
ejpam-5462	11	1	in	in	ADP
ejpam-5462	11	2	response	response	NOUN
ejpam-5462	11	3	,	,	PUNCT
ejpam-5462	11	4	researchers	researcher	NOUN
ejpam-5462	11	5	have	have	AUX
ejpam-5462	11	6	been	be	AUX
ejpam-5462	11	7	assiduously	assiduously	ADV
ejpam-5462	11	8	engaged	engage	VERB
ejpam-5462	11	9	in	in	ADP
ejpam-5462	11	10	the	the	DET
ejpam-5462	11	11	identification	identification	NOUN
ejpam-5462	11	12	and	and	CCONJ
ejpam-5462	11	13	formulation	formulation	NOUN
ejpam-5462	11	14	of	of	ADP
ejpam-5462	11	15	useful	useful	ADJ
ejpam-5462	11	16	operators	operator	NOUN
ejpam-5462	11	17	,	,	PUNCT
ejpam-5462	11	18	with	with	ADP
ejpam-5462	11	19	a	a	DET
ejpam-5462	11	20	particular	particular	ADJ
ejpam-5462	11	21	emphasis	emphasis	NOUN
ejpam-5462	11	22	on	on	ADP
ejpam-5462	11	23	fractional	fractional	ADJ
ejpam-5462	11	24	operators	operator	NOUN
ejpam-5462	11	25	.	.	PUNCT
ejpam-5462	12	1	stochastic	stochastic	ADJ
ejpam-5462	12	2	non	non	ADJ
ejpam-5462	12	3	-	-	ADJ
ejpam-5462	12	4	linear	linear	ADJ
ejpam-5462	12	5	evolution	evolution	NOUN
ejpam-5462	12	6	equations	equation	NOUN
ejpam-5462	12	7	play	play	VERB
ejpam-5462	12	8	a	a	DET
ejpam-5462	12	9	vital	vital	ADJ
ejpam-5462	12	10	role	role	NOUN
ejpam-5462	12	11	in	in	ADP
ejpam-5462	12	12	a	a	DET
ejpam-5462	12	13	wide	wide	ADJ
ejpam-5462	12	14	range	range	NOUN
ejpam-5462	12	15	of	of	ADP
ejpam-5462	12	16	scientific	scientific	ADJ
ejpam-5462	12	17	and	and	CCONJ
ejpam-5462	12	18	engineering	engineering	NOUN
ejpam-5462	12	19	fields	field	NOUN
ejpam-5462	12	20	,	,	PUNCT
ejpam-5462	12	21	allowing	allow	VERB
ejpam-5462	12	22	us	we	PRON
ejpam-5462	12	23	to	to	PART
ejpam-5462	12	24	model	model	VERB
ejpam-5462	12	25	and	and	CCONJ
ejpam-5462	12	26	understand	understand	VERB
ejpam-5462	12	27	complex	complex	ADJ
ejpam-5462	12	28	systems	system	NOUN
ejpam-5462	12	29	and	and	CCONJ
ejpam-5462	12	30	phenomena	phenomenon	NOUN
ejpam-5462	12	31	.	.	PUNCT
ejpam-5462	13	1	they	they	PRON
ejpam-5462	13	2	analyze	analyze	VERB
ejpam-5462	13	3	∗corresponding	∗corresponde	VERB
ejpam-5462	13	4	author	author	NOUN
ejpam-5462	13	5	.	.	PUNCT
ejpam-5462	14	1	doi	doi	NOUN
ejpam-5462	14	2	:	:	PUNCT
ejpam-5462	14	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5462	https://doi.org/10.29020/nybg.ejpam.v17i4.5462	VERB
ejpam-5462	14	4	email	email	NOUN
ejpam-5462	14	5	address	address	NOUN
ejpam-5462	14	6	:	:	PUNCT
ejpam-5462	14	7	midriss@bu.edu.sa	midriss@bu.edu.sa	PROPN
ejpam-5462	14	8	(	(	PUNCT
ejpam-5462	14	9	m.	m.	NOUN
ejpam-5462	14	10	berir	berir	NOUN
ejpam-5462	14	11	)	)	PUNCT
ejpam-5462	14	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5462	14	13	3915	3915	NUM
ejpam-5462	14	14	copyright	copyright	NOUN
ejpam-5462	14	15	:	:	PUNCT
ejpam-5462	14	16	©	©	PROPN
ejpam-5462	14	17	2024	2024	NUM
ejpam-5462	14	18	the	the	DET
ejpam-5462	14	19	author(s	author(s	NOUN
ejpam-5462	14	20	)	)	PUNCT
ejpam-5462	14	21	.	.	PUNCT
ejpam-5462	15	1	(	(	PUNCT
ejpam-5462	15	2	cc	cc	NOUN
ejpam-5462	15	3	by	by	ADP
ejpam-5462	15	4	-	-	PUNCT
ejpam-5462	15	5	nc	nc	PROPN
ejpam-5462	15	6	4.0	4.0	NUM
ejpam-5462	15	7	)	)	PUNCT
ejpam-5462	15	8	m.	m.	NOUN
ejpam-5462	15	9	berir	berir	NOUN
ejpam-5462	15	10	/	/	SYM
ejpam-5462	15	11	eur	eur	PROPN
ejpam-5462	15	12	.	.	PUNCT
ejpam-5462	16	1	j.	j.	PROPN
ejpam-5462	16	2	pure	pure	PROPN
ejpam-5462	16	3	appl	appl	PROPN
ejpam-5462	16	4	.	.	PROPN
ejpam-5462	16	5	math	math	PROPN
ejpam-5462	16	6	,	,	PUNCT
ejpam-5462	16	7	17	17	NUM
ejpam-5462	16	8	(	(	PUNCT
ejpam-5462	16	9	4	4	NUM
ejpam-5462	16	10	)	)	PUNCT
ejpam-5462	16	11	(	(	PUNCT
ejpam-5462	16	12	2024	2024	NUM
ejpam-5462	16	13	)	)	PUNCT
ejpam-5462	16	14	,	,	PUNCT
ejpam-5462	16	15	3915	3915	NUM
ejpam-5462	16	16	-	-	SYM
ejpam-5462	16	17	3931	3931	NUM
ejpam-5462	16	18	3916	3916	NUM
ejpam-5462	16	19	the	the	DET
ejpam-5462	16	20	impact	impact	NOUN
ejpam-5462	16	21	of	of	ADP
ejpam-5462	16	22	white	white	ADJ
ejpam-5462	16	23	noise	noise	NOUN
ejpam-5462	16	24	on	on	ADP
ejpam-5462	16	25	chaotic	chaotic	ADJ
ejpam-5462	16	26	financial	financial	ADJ
ejpam-5462	16	27	systems	system	NOUN
ejpam-5462	16	28	,	,	PUNCT
ejpam-5462	16	29	taking	take	VERB
ejpam-5462	16	30	into	into	ADP
ejpam-5462	16	31	account	account	NOUN
ejpam-5462	16	32	randomness	randomness	NOUN
ejpam-5462	16	33	and	and	CCONJ
ejpam-5462	16	34	nonlinearity[39	nonlinearity[39	ADP
ejpam-5462	16	35	]	]	PUNCT
ejpam-5462	16	36	.	.	PUNCT
ejpam-5462	17	1	this	this	DET
ejpam-5462	17	2	study	study	NOUN
ejpam-5462	17	3	investigates	investigate	VERB
ejpam-5462	17	4	the	the	DET
ejpam-5462	17	5	effects	effect	NOUN
ejpam-5462	17	6	of	of	ADP
ejpam-5462	17	7	random	random	ADJ
ejpam-5462	17	8	disturbances	disturbance	NOUN
ejpam-5462	17	9	on	on	ADP
ejpam-5462	17	10	the	the	DET
ejpam-5462	17	11	chaotic	chaotic	ADJ
ejpam-5462	17	12	dynamics	dynamic	NOUN
ejpam-5462	17	13	of	of	ADP
ejpam-5462	17	14	systems	system	NOUN
ejpam-5462	17	15	with	with	ADP
ejpam-5462	17	16	constant	constant	ADJ
ejpam-5462	17	17	-	-	PUNCT
ejpam-5462	17	18	order	order	NOUN
ejpam-5462	17	19	and	and	CCONJ
ejpam-5462	17	20	variable	variable	ADJ
ejpam-5462	17	21	-	-	PUNCT
ejpam-5462	17	22	order	order	NOUN
ejpam-5462	17	23	fractions	fraction	NOUN
ejpam-5462	17	24	,	,	PUNCT
ejpam-5462	17	25	employing	employ	VERB
ejpam-5462	17	26	the	the	DET
ejpam-5462	17	27	principles	principle	NOUN
ejpam-5462	17	28	of	of	ADP
ejpam-5462	17	29	fractional	fractional	ADJ
ejpam-5462	17	30	calculus	calculus	NOUN
ejpam-5462	17	31	.	.	PUNCT
ejpam-5462	18	1	it	it	PRON
ejpam-5462	18	2	has	have	AUX
ejpam-5462	18	3	become	become	VERB
ejpam-5462	18	4	a	a	DET
ejpam-5462	18	5	popular	popular	ADJ
ejpam-5462	18	6	area	area	NOUN
ejpam-5462	18	7	of	of	ADP
ejpam-5462	18	8	research	research	NOUN
ejpam-5462	18	9	,	,	PUNCT
ejpam-5462	18	10	attracting	attract	VERB
ejpam-5462	18	11	a	a	DET
ejpam-5462	18	12	lot	lot	NOUN
ejpam-5462	18	13	of	of	ADP
ejpam-5462	18	14	attention	attention	NOUN
ejpam-5462	18	15	.	.	PUNCT
ejpam-5462	19	1	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	19	2	system	system	NOUN
ejpam-5462	19	3	(	(	PUNCT
ejpam-5462	19	4	hs	hs	X
ejpam-5462	19	5	)	)	PUNCT
ejpam-5462	19	6	exhibits	exhibit	VERB
ejpam-5462	19	7	the	the	DET
ejpam-5462	19	8	remarkable	remarkable	ADJ
ejpam-5462	19	9	characteristic	characteristic	NOUN
ejpam-5462	19	10	of	of	ADP
ejpam-5462	19	11	displaying	display	VERB
ejpam-5462	19	12	multiple	multiple	ADJ
ejpam-5462	19	13	chaotic	chaotic	ADJ
ejpam-5462	19	14	behaviors	behavior	NOUN
ejpam-5462	19	15	simultaneously[11	simultaneously[11	VERB
ejpam-5462	19	16	,	,	PUNCT
ejpam-5462	19	17	14	14	NUM
ejpam-5462	19	18	]	]	PUNCT
ejpam-5462	19	19	.	.	PUNCT
ejpam-5462	20	1	these	these	DET
ejpam-5462	20	2	types	type	NOUN
ejpam-5462	20	3	of	of	ADP
ejpam-5462	20	4	systems	system	NOUN
ejpam-5462	20	5	exhibit	exhibit	VERB
ejpam-5462	20	6	intricate	intricate	ADJ
ejpam-5462	20	7	chaotic	chaotic	ADJ
ejpam-5462	20	8	dynamics	dynamic	NOUN
ejpam-5462	20	9	that	that	PRON
ejpam-5462	20	10	surpass	surpass	VERB
ejpam-5462	20	11	those	those	PRON
ejpam-5462	20	12	of	of	ADP
ejpam-5462	20	13	conventional	conventional	ADJ
ejpam-5462	20	14	(	(	PUNCT
ejpam-5462	20	15	hs	hs	X
ejpam-5462	20	16	)	)	PUNCT
ejpam-5462	20	17	.	.	PUNCT
ejpam-5462	21	1	(	(	PUNCT
ejpam-5462	21	2	hs	hs	X
ejpam-5462	21	3	)	)	PUNCT
ejpam-5462	21	4	exhibit	exhibit	VERB
ejpam-5462	21	5	the	the	DET
ejpam-5462	21	6	presence	presence	NOUN
ejpam-5462	21	7	of	of	ADP
ejpam-5462	21	8	multiple	multiple	ADJ
ejpam-5462	21	9	positive	positive	ADJ
ejpam-5462	21	10	lyapunov	lyapunov	NOUN
ejpam-5462	21	11	exponents(le	exponents(le	NOUN
ejpam-5462	21	12	)	)	PUNCT
ejpam-5462	21	13	,	,	PUNCT
ejpam-5462	21	14	which	which	PRON
ejpam-5462	21	15	signify	signify	VERB
ejpam-5462	21	16	a	a	DET
ejpam-5462	21	17	heightened	heightened	ADJ
ejpam-5462	21	18	level	level	NOUN
ejpam-5462	21	19	of	of	ADP
ejpam-5462	21	20	unpredictability	unpredictability	NOUN
ejpam-5462	21	21	and	and	CCONJ
ejpam-5462	21	22	complexity	complexity	NOUN
ejpam-5462	21	23	in	in	ADP
ejpam-5462	21	24	their	their	PRON
ejpam-5462	21	25	behavior[10	behavior[10	NOUN
ejpam-5462	21	26	]	]	PUNCT
ejpam-5462	21	27	.	.	PUNCT
ejpam-5462	22	1	the	the	DET
ejpam-5462	22	2	distinct	distinct	ADJ
ejpam-5462	22	3	properties	property	NOUN
ejpam-5462	22	4	of	of	ADP
ejpam-5462	22	5	(	(	PUNCT
ejpam-5462	22	6	hs	hs	INTJ
ejpam-5462	22	7	)	)	PUNCT
ejpam-5462	22	8	make	make	VERB
ejpam-5462	22	9	them	they	PRON
ejpam-5462	22	10	highly	highly	ADV
ejpam-5462	22	11	beneficial	beneficial	ADJ
ejpam-5462	22	12	in	in	ADP
ejpam-5462	22	13	a	a	DET
ejpam-5462	22	14	diverse	diverse	ADJ
ejpam-5462	22	15	range	range	NOUN
ejpam-5462	22	16	of	of	ADP
ejpam-5462	22	17	fields	field	NOUN
ejpam-5462	22	18	that	that	PRON
ejpam-5462	22	19	prioritize	prioritize	VERB
ejpam-5462	22	20	elements	element	NOUN
ejpam-5462	22	21	such	such	ADJ
ejpam-5462	22	22	as	as	ADP
ejpam-5462	22	23	randomness	randomness	NOUN
ejpam-5462	22	24	and	and	CCONJ
ejpam-5462	22	25	complexity[42	complexity[42	NOUN
ejpam-5462	22	26	]	]	X
ejpam-5462	22	27	.	.	PUNCT
ejpam-5462	23	1	a	a	DET
ejpam-5462	23	2	deeper	deep	ADJ
ejpam-5462	23	3	comprehension	comprehension	NOUN
ejpam-5462	23	4	of	of	ADP
ejpam-5462	23	5	processes	process	NOUN
ejpam-5462	23	6	that	that	PRON
ejpam-5462	23	7	depend	depend	VERB
ejpam-5462	23	8	on	on	ADP
ejpam-5462	23	9	numerous	numerous	ADJ
ejpam-5462	23	10	variables	variable	NOUN
ejpam-5462	23	11	is	be	AUX
ejpam-5462	23	12	also	also	ADV
ejpam-5462	23	13	brought	bring	VERB
ejpam-5462	23	14	about	about	ADP
ejpam-5462	23	15	by	by	ADP
ejpam-5462	23	16	the	the	DET
ejpam-5462	23	17	expansion	expansion	NOUN
ejpam-5462	23	18	of	of	ADP
ejpam-5462	23	19	calculus	calculus	NOUN
ejpam-5462	23	20	into	into	ADP
ejpam-5462	23	21	multivariable	multivariable	ADJ
ejpam-5462	23	22	functions	function	NOUN
ejpam-5462	23	23	,	,	PUNCT
ejpam-5462	23	24	opening	open	VERB
ejpam-5462	23	25	the	the	DET
ejpam-5462	23	26	door	door	NOUN
ejpam-5462	23	27	for	for	ADP
ejpam-5462	23	28	developments	development	NOUN
ejpam-5462	23	29	in	in	ADP
ejpam-5462	23	30	disciplines	discipline	NOUN
ejpam-5462	23	31	like	like	ADP
ejpam-5462	23	32	fluid	fluid	NOUN
ejpam-5462	23	33	dynamics	dynamic	NOUN
ejpam-5462	23	34	and	and	CCONJ
ejpam-5462	23	35	thermodynamics[6	thermodynamics[6	NUM
ejpam-5462	23	36	,	,	PUNCT
ejpam-5462	23	37	40	40	NUM
ejpam-5462	23	38	]	]	PUNCT
ejpam-5462	23	39	.	.	PUNCT
ejpam-5462	24	1	calculus	calculus	NOUN
ejpam-5462	24	2	’s	’s	PART
ejpam-5462	24	3	perennial	perennial	ADJ
ejpam-5462	24	4	relevance	relevance	NOUN
ejpam-5462	24	5	in	in	ADP
ejpam-5462	24	6	the	the	DET
ejpam-5462	24	7	never	never	ADV
ejpam-5462	24	8	-	-	PUNCT
ejpam-5462	24	9	ending	end	VERB
ejpam-5462	24	10	quest	quest	NOUN
ejpam-5462	24	11	for	for	ADP
ejpam-5462	24	12	knowledge	knowledge	NOUN
ejpam-5462	24	13	and	and	CCONJ
ejpam-5462	24	14	creativity	creativity	NOUN
ejpam-5462	24	15	is	be	AUX
ejpam-5462	24	16	shown	show	VERB
ejpam-5462	24	17	by	by	ADP
ejpam-5462	24	18	the	the	DET
ejpam-5462	24	19	theoretical	theoretical	ADJ
ejpam-5462	24	20	breakthroughs	breakthrough	NOUN
ejpam-5462	24	21	and	and	CCONJ
ejpam-5462	24	22	real	real	ADJ
ejpam-5462	24	23	-	-	PUNCT
ejpam-5462	24	24	world	world	NOUN
ejpam-5462	24	25	applications	application	NOUN
ejpam-5462	24	26	that	that	PRON
ejpam-5462	24	27	scholars	scholar	NOUN
ejpam-5462	24	28	discover	discover	VERB
ejpam-5462	24	29	as	as	SCONJ
ejpam-5462	24	30	they	they	PRON
ejpam-5462	24	31	delve	delve	VERB
ejpam-5462	24	32	further	far	ADV
ejpam-5462	24	33	into	into	ADP
ejpam-5462	24	34	the	the	DET
ejpam-5462	24	35	subject[5	subject[5	NOUN
ejpam-5462	24	36	,	,	PUNCT
ejpam-5462	24	37	13	13	NUM
ejpam-5462	24	38	,	,	PUNCT
ejpam-5462	24	39	21	21	NUM
ejpam-5462	24	40	]	]	PUNCT
ejpam-5462	24	41	.	.	PUNCT
ejpam-5462	25	1	numerous	numerous	ADJ
ejpam-5462	25	2	scientific	scientific	ADJ
ejpam-5462	25	3	and	and	CCONJ
ejpam-5462	25	4	technical	technical	ADJ
ejpam-5462	25	5	domains	domain	NOUN
ejpam-5462	25	6	have	have	VERB
ejpam-5462	25	7	extensive	extensive	ADJ
ejpam-5462	25	8	uses	use	NOUN
ejpam-5462	25	9	for	for	ADP
ejpam-5462	25	10	fractional	fractional	ADJ
ejpam-5462	25	11	stochastic	stochastic	ADJ
ejpam-5462	25	12	equations	equation	NOUN
ejpam-5462	25	13	,	,	PUNCT
ejpam-5462	25	14	which	which	PRON
ejpam-5462	25	15	combine	combine	VERB
ejpam-5462	25	16	the	the	DET
ejpam-5462	25	17	ideas	idea	NOUN
ejpam-5462	25	18	of	of	ADP
ejpam-5462	25	19	stochastic	stochastic	ADJ
ejpam-5462	25	20	processes	process	NOUN
ejpam-5462	25	21	with	with	ADP
ejpam-5462	25	22	fractional	fractional	ADJ
ejpam-5462	25	23	calculus	calculus	NOUN
ejpam-5462	25	24	.	.	PUNCT
ejpam-5462	26	1	these	these	DET
ejpam-5462	26	2	equations	equation	NOUN
ejpam-5462	26	3	are	be	AUX
ejpam-5462	26	4	very	very	ADV
ejpam-5462	26	5	helpful	helpful	ADJ
ejpam-5462	26	6	in	in	ADP
ejpam-5462	26	7	domains	domain	NOUN
ejpam-5462	26	8	like	like	ADP
ejpam-5462	26	9	biology	biology	NOUN
ejpam-5462	26	10	,	,	PUNCT
ejpam-5462	26	11	physics	physics	NOUN
ejpam-5462	26	12	,	,	PUNCT
ejpam-5462	26	13	and	and	CCONJ
ejpam-5462	26	14	finance	finance	NOUN
ejpam-5462	26	15	since	since	SCONJ
ejpam-5462	26	16	they	they	PRON
ejpam-5462	26	17	are	be	AUX
ejpam-5462	26	18	used	use	VERB
ejpam-5462	26	19	to	to	PART
ejpam-5462	26	20	simulate	simulate	VERB
ejpam-5462	26	21	complicated	complicated	ADJ
ejpam-5462	26	22	systems	system	NOUN
ejpam-5462	26	23	with	with	ADP
ejpam-5462	26	24	unpredictability	unpredictability	NOUN
ejpam-5462	26	25	and	and	CCONJ
ejpam-5462	26	26	memory	memory	NOUN
ejpam-5462	26	27	effects[17	effects[17	NOUN
ejpam-5462	26	28	,	,	PUNCT
ejpam-5462	26	29	41	41	NUM
ejpam-5462	26	30	]	]	PUNCT
ejpam-5462	26	31	.	.	PUNCT
ejpam-5462	27	1	for	for	ADP
ejpam-5462	27	2	example	example	NOUN
ejpam-5462	27	3	,	,	PUNCT
ejpam-5462	27	4	they	they	PRON
ejpam-5462	27	5	may	may	AUX
ejpam-5462	27	6	represent	represent	VERB
ejpam-5462	27	7	price	price	NOUN
ejpam-5462	27	8	dynamics	dynamic	NOUN
ejpam-5462	27	9	in	in	ADP
ejpam-5462	27	10	financial	financial	ADJ
ejpam-5462	27	11	markets	market	NOUN
ejpam-5462	27	12	,	,	PUNCT
ejpam-5462	27	13	mimic	mimic	VERB
ejpam-5462	27	14	the	the	DET
ejpam-5462	27	15	behavior	behavior	NOUN
ejpam-5462	27	16	of	of	ADP
ejpam-5462	27	17	biological	biological	ADJ
ejpam-5462	27	18	systems	system	NOUN
ejpam-5462	27	19	with	with	ADP
ejpam-5462	27	20	long	long	ADJ
ejpam-5462	27	21	-	-	PUNCT
ejpam-5462	27	22	range	range	NOUN
ejpam-5462	27	23	dependencies	dependency	NOUN
ejpam-5462	27	24	,	,	PUNCT
ejpam-5462	27	25	and	and	CCONJ
ejpam-5462	27	26	characterize	characterize	VERB
ejpam-5462	27	27	anomalous	anomalous	ADJ
ejpam-5462	27	28	diffusion	diffusion	NOUN
ejpam-5462	27	29	processes	process	NOUN
ejpam-5462	27	30	in	in	ADP
ejpam-5462	27	31	porous	porous	ADJ
ejpam-5462	27	32	surfaces	surface	NOUN
ejpam-5462	27	33	.	.	PUNCT
ejpam-5462	28	1	these	these	DET
ejpam-5462	28	2	equations	equation	NOUN
ejpam-5462	28	3	offer	offer	VERB
ejpam-5462	28	4	more	more	ADV
ejpam-5462	28	5	precise	precise	ADJ
ejpam-5462	28	6	and	and	CCONJ
ejpam-5462	28	7	adaptable	adaptable	ADJ
ejpam-5462	28	8	models	model	NOUN
ejpam-5462	28	9	for	for	ADP
ejpam-5462	28	10	systems	system	NOUN
ejpam-5462	28	11	displaying	display	VERB
ejpam-5462	28	12	both	both	CCONJ
ejpam-5462	28	13	uncertainty	uncertainty	NOUN
ejpam-5462	28	14	and	and	CCONJ
ejpam-5462	28	15	non	non	ADJ
ejpam-5462	28	16	-	-	ADJ
ejpam-5462	28	17	local	local	ADJ
ejpam-5462	28	18	behavior	behavior	NOUN
ejpam-5462	28	19	by	by	ADP
ejpam-5462	28	20	fusing	fuse	VERB
ejpam-5462	28	21	the	the	DET
ejpam-5462	28	22	tools	tool	NOUN
ejpam-5462	28	23	of	of	ADP
ejpam-5462	28	24	fractional	fractional	ADJ
ejpam-5462	28	25	derivatives	derivative	NOUN
ejpam-5462	28	26	with	with	ADP
ejpam-5462	28	27	stochastic	stochastic	NOUN
ejpam-5462	28	28	dynamics[3	dynamics[3	NOUN
ejpam-5462	28	29	]	]	X
ejpam-5462	28	30	.	.	PUNCT
ejpam-5462	29	1	over	over	ADP
ejpam-5462	29	2	time	time	NOUN
ejpam-5462	29	3	,	,	PUNCT
ejpam-5462	29	4	(	(	PUNCT
ejpam-5462	29	5	hs	hs	X
ejpam-5462	29	6	)	)	PUNCT
ejpam-5462	29	7	have	have	AUX
ejpam-5462	29	8	made	make	VERB
ejpam-5462	29	9	steady	steady	ADJ
ejpam-5462	29	10	progress	progress	NOUN
ejpam-5462	29	11	since	since	SCONJ
ejpam-5462	29	12	they	they	PRON
ejpam-5462	29	13	were	be	AUX
ejpam-5462	29	14	first	first	ADV
ejpam-5462	29	15	introduced	introduce	VERB
ejpam-5462	29	16	by	by	ADP
ejpam-5462	29	17	rossler	rossler	NOUN
ejpam-5462	29	18	[	[	X
ejpam-5462	29	19	37].recently	37].recently	ADV
ejpam-5462	29	20	,	,	PUNCT
ejpam-5462	29	21	researchers	researcher	NOUN
ejpam-5462	29	22	have	have	AUX
ejpam-5462	29	23	made	make	VERB
ejpam-5462	29	24	significant	significant	ADJ
ejpam-5462	29	25	advances	advance	NOUN
ejpam-5462	29	26	in	in	ADP
ejpam-5462	29	27	the	the	DET
ejpam-5462	29	28	field	field	NOUN
ejpam-5462	29	29	of	of	ADP
ejpam-5462	29	30	(	(	PUNCT
ejpam-5462	29	31	hs	hs	X
ejpam-5462	29	32	)	)	PUNCT
ejpam-5462	29	33	,	,	PUNCT
ejpam-5462	29	34	including	include	VERB
ejpam-5462	29	35	the	the	DET
ejpam-5462	29	36	development	development	NOUN
ejpam-5462	29	37	of	of	ADP
ejpam-5462	29	38	various	various	ADJ
ejpam-5462	29	39	distinct	distinct	ADJ
ejpam-5462	29	40	systems	system	NOUN
ejpam-5462	29	41	.	.	PUNCT
ejpam-5462	30	1	one	one	NUM
ejpam-5462	30	2	notable	notable	ADJ
ejpam-5462	30	3	example	example	NOUN
ejpam-5462	30	4	is	be	AUX
ejpam-5462	30	5	the	the	DET
ejpam-5462	30	6	2d	2d	PROPN
ejpam-5462	30	7	(	(	PUNCT
ejpam-5462	30	8	hs	hs	X
ejpam-5462	30	9	)	)	PUNCT
ejpam-5462	30	10	that	that	PRON
ejpam-5462	30	11	has	have	AUX
ejpam-5462	30	12	been	be	AUX
ejpam-5462	30	13	proposed	propose	VERB
ejpam-5462	30	14	for	for	ADP
ejpam-5462	30	15	image	image	NOUN
ejpam-5462	30	16	encryption	encryption	NOUN
ejpam-5462	30	17	[	[	X
ejpam-5462	30	18	15].in	15].in	NUM
ejpam-5462	30	19	addition	addition	NOUN
ejpam-5462	30	20	,	,	PUNCT
ejpam-5462	30	21	[	[	X
ejpam-5462	30	22	45	45	NUM
ejpam-5462	30	23	]	]	PUNCT
ejpam-5462	30	24	developed	develop	VERB
ejpam-5462	30	25	a	a	DET
ejpam-5462	30	26	two	two	NUM
ejpam-5462	30	27	-	-	PUNCT
ejpam-5462	30	28	dimensional	dimensional	ADJ
ejpam-5462	30	29	(	(	PUNCT
ejpam-5462	30	30	hs	hs	X
ejpam-5462	30	31	)	)	PUNCT
ejpam-5462	30	32	using	use	VERB
ejpam-5462	30	33	the	the	DET
ejpam-5462	30	34	optimization	optimization	NOUN
ejpam-5462	30	35	benchmark	benchmark	NOUN
ejpam-5462	30	36	function	function	NOUN
ejpam-5462	30	37	[	[	X
ejpam-5462	30	38	46	46	NUM
ejpam-5462	30	39	]	]	PUNCT
ejpam-5462	30	40	.	.	PUNCT
ejpam-5462	31	1	developed	develop	VERB
ejpam-5462	31	2	a	a	DET
ejpam-5462	31	3	2d	2d	NUM
ejpam-5462	31	4	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	31	5	map	map	NOUN
ejpam-5462	31	6	that	that	PRON
ejpam-5462	31	7	has	have	AUX
ejpam-5462	31	8	proven	prove	VERB
ejpam-5462	31	9	useful	useful	ADJ
ejpam-5462	31	10	in	in	ADP
ejpam-5462	31	11	generating	generate	VERB
ejpam-5462	31	12	pseudorandom	pseudorandom	NOUN
ejpam-5462	31	13	numbers	number	NOUN
ejpam-5462	31	14	and	and	CCONJ
ejpam-5462	31	15	encrypting	encrypt	VERB
ejpam-5462	31	16	color	color	NOUN
ejpam-5462	31	17	images	image	NOUN
ejpam-5462	31	18	.	.	PUNCT
ejpam-5462	32	1	in	in	ADP
ejpam-5462	32	2	their	their	PRON
ejpam-5462	32	3	study	study	NOUN
ejpam-5462	32	4	,	,	PUNCT
ejpam-5462	32	5	[	[	X
ejpam-5462	32	6	16	16	NUM
ejpam-5462	32	7	]	]	PUNCT
ejpam-5462	32	8	introduced	introduce	VERB
ejpam-5462	32	9	an	an	DET
ejpam-5462	32	10	image	image	NOUN
ejpam-5462	32	11	encryption	encryption	NOUN
ejpam-5462	32	12	algorithm	algorithm	NOUN
ejpam-5462	32	13	that	that	PRON
ejpam-5462	32	14	uses	use	VERB
ejpam-5462	32	15	a	a	DET
ejpam-5462	32	16	2d	2d	NUM
ejpam-5462	32	17	(	(	PUNCT
ejpam-5462	32	18	hs	hs	PROPN
ejpam-5462	32	19	)	)	PUNCT
ejpam-5462	32	20	.	.	PUNCT
ejpam-5462	33	1	an	an	DET
ejpam-5462	33	2	innovative	innovative	ADJ
ejpam-5462	33	3	system	system	NOUN
ejpam-5462	33	4	for	for	ADP
ejpam-5462	33	5	secure	secure	ADJ
ejpam-5462	33	6	communications	communication	NOUN
ejpam-5462	33	7	was	be	AUX
ejpam-5462	33	8	introduced	introduce	VERB
ejpam-5462	33	9	by[2	by[2	PROPN
ejpam-5462	33	10	]	]	PUNCT
ejpam-5462	33	11	.	.	PUNCT
ejpam-5462	34	1	this	this	DET
ejpam-5462	34	2	system	system	NOUN
ejpam-5462	34	3	utilizes	utilize	VERB
ejpam-5462	34	4	a	a	DET
ejpam-5462	34	5	2d	2d	NUM
ejpam-5462	34	6	cosine	cosine	ADJ
ejpam-5462	34	7	-	-	PUNCT
ejpam-5462	34	8	sine	sine	ADJ
ejpam-5462	34	9	interleaved	interleave	VERB
ejpam-5462	34	10	chaotic	chaotic	ADJ
ejpam-5462	34	11	approach	approach	NOUN
ejpam-5462	34	12	.	.	PUNCT
ejpam-5462	35	1	also	also	ADV
ejpam-5462	35	2	studied	study	VERB
ejpam-5462	35	3	a	a	DET
ejpam-5462	35	4	simple	simple	ADJ
ejpam-5462	35	5	chaotic	chaotic	ADJ
ejpam-5462	35	6	model	model	NOUN
ejpam-5462	35	7	with	with	ADP
ejpam-5462	35	8	complex	complex	ADJ
ejpam-5462	35	9	chaotic	chaotic	ADJ
ejpam-5462	35	10	behavior	behavior	NOUN
ejpam-5462	35	11	.	.	PUNCT
ejpam-5462	36	1	the	the	DET
ejpam-5462	36	2	number	number	NOUN
ejpam-5462	36	3	is	be	AUX
ejpam-5462	36	4	significant[19	significant[19	NOUN
ejpam-5462	36	5	]	]	PUNCT
ejpam-5462	36	6	.	.	PUNCT
ejpam-5462	37	1	conducted	conduct	VERB
ejpam-5462	37	2	a	a	DET
ejpam-5462	37	3	study	study	NOUN
ejpam-5462	37	4	on	on	ADP
ejpam-5462	37	5	the	the	DET
ejpam-5462	37	6	advancements	advancement	NOUN
ejpam-5462	37	7	in	in	ADP
ejpam-5462	37	8	3d	3d	PROPN
ejpam-5462	37	9	hyperchaotic	hyperchaotic	PROPN
ejpam-5462	37	10	systems	system	NOUN
ejpam-5462	37	11	and	and	CCONJ
ejpam-5462	37	12	their	their	PRON
ejpam-5462	37	13	potential	potential	ADJ
ejpam-5462	37	14	applications	application	NOUN
ejpam-5462	37	15	in	in	ADP
ejpam-5462	37	16	secure	secure	ADJ
ejpam-5462	37	17	transmission[24	transmission[24	NOUN
ejpam-5462	37	18	]	]	PUNCT
ejpam-5462	37	19	.	.	PUNCT
ejpam-5462	38	1	an	an	DET
ejpam-5462	38	2	ultrawide	ultrawide	ADJ
ejpam-5462	38	3	parameter	parameter	NOUN
ejpam-5462	38	4	range	range	NOUN
ejpam-5462	38	5	was	be	AUX
ejpam-5462	38	6	presented	present	VERB
ejpam-5462	38	7	by[33	by[33	VERB
ejpam-5462	38	8	]	]	PUNCT
ejpam-5462	38	9	for	for	ADP
ejpam-5462	38	10	a	a	DET
ejpam-5462	38	11	nondegenerate	nondegenerate	ADJ
ejpam-5462	38	12	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	38	13	map	map	NOUN
ejpam-5462	38	14	.	.	PUNCT
ejpam-5462	39	1	in	in	ADP
ejpam-5462	39	2	their	their	PRON
ejpam-5462	39	3	study	study	NOUN
ejpam-5462	39	4	,	,	PUNCT
ejpam-5462	39	5	[	[	X
ejpam-5462	39	6	43	43	NUM
ejpam-5462	39	7	]	]	PUNCT
ejpam-5462	39	8	introduced	introduce	VERB
ejpam-5462	39	9	a	a	DET
ejpam-5462	39	10	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	39	11	system	system	NOUN
ejpam-5462	39	12	that	that	PRON
ejpam-5462	39	13	consists	consist	VERB
ejpam-5462	39	14	of	of	ADP
ejpam-5462	39	15	four	four	NUM
ejpam-5462	39	16	dimensions	dimension	NOUN
ejpam-5462	39	17	.	.	PUNCT
ejpam-5462	40	1	[	[	X
ejpam-5462	40	2	26	26	NUM
ejpam-5462	40	3	]	]	PUNCT
ejpam-5462	40	4	.	.	PUNCT
ejpam-5462	41	1	it	it	PRON
ejpam-5462	41	2	performed	perform	VERB
ejpam-5462	41	3	a	a	DET
ejpam-5462	41	4	comprehensive	comprehensive	ADJ
ejpam-5462	41	5	investigation	investigation	NOUN
ejpam-5462	41	6	on	on	ADP
ejpam-5462	41	7	the	the	DET
ejpam-5462	41	8	dynamics	dynamic	NOUN
ejpam-5462	41	9	of	of	ADP
ejpam-5462	41	10	a	a	DET
ejpam-5462	41	11	multi	multi	ADJ
ejpam-5462	41	12	-	-	ADJ
ejpam-5462	41	13	stable	stable	ADJ
ejpam-5462	41	14	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	41	15	lorenz	lorenz	PROPN
ejpam-5462	41	16	system	system	NOUN
ejpam-5462	41	17	and	and	CCONJ
ejpam-5462	41	18	examined	examine	VERB
ejpam-5462	41	19	its	its	PRON
ejpam-5462	41	20	several	several	ADJ
ejpam-5462	41	21	practical	practical	ADJ
ejpam-5462	41	22	uses	use	NOUN
ejpam-5462	41	23	.	.	PUNCT
ejpam-5462	42	1	[	[	X
ejpam-5462	42	2	27	27	NUM
ejpam-5462	42	3	]	]	PUNCT
ejpam-5462	42	4	.	.	PUNCT
ejpam-5462	43	1	the	the	DET
ejpam-5462	43	2	study	study	NOUN
ejpam-5462	43	3	conducted	conduct	VERB
ejpam-5462	43	4	by	by	ADP
ejpam-5462	43	5	[	[	PUNCT
ejpam-5462	43	6	23].delved	23].delve	VERB
ejpam-5462	43	7	into	into	ADP
ejpam-5462	43	8	the	the	DET
ejpam-5462	43	9	advancements	advancement	NOUN
ejpam-5462	43	10	in	in	ADP
ejpam-5462	43	11	dynamical	dynamical	ADJ
ejpam-5462	43	12	systems	system	NOUN
ejpam-5462	43	13	with	with	ADP
ejpam-5462	43	14	five	five	NUM
ejpam-5462	43	15	state	state	NOUN
ejpam-5462	43	16	variables	variable	NOUN
ejpam-5462	43	17	,	,	PUNCT
ejpam-5462	43	18	specifically	specifically	ADV
ejpam-5462	43	19	focusing	focus	VERB
ejpam-5462	43	20	on	on	ADP
ejpam-5462	43	21	those	those	PRON
ejpam-5462	43	22	with	with	ADP
ejpam-5462	43	23	multiple	multiple	ADJ
ejpam-5462	43	24	positive	positive	ADJ
ejpam-5462	43	25	(	(	PUNCT
ejpam-5462	43	26	le	le	NOUN
ejpam-5462	43	27	)	)	PUNCT
ejpam-5462	43	28	.	.	PUNCT
ejpam-5462	44	1	the	the	DET
ejpam-5462	44	2	researchers	researcher	NOUN
ejpam-5462	44	3	also	also	ADV
ejpam-5462	44	4	explored	explore	VERB
ejpam-5462	44	5	the	the	DET
ejpam-5462	44	6	presence	presence	NOUN
ejpam-5462	44	7	of	of	ADP
ejpam-5462	44	8	coexisting	coexist	VERB
ejpam-5462	44	9	hidden	hide	VERB
ejpam-5462	44	10	attractors	attractor	NOUN
ejpam-5462	44	11	[	[	X
ejpam-5462	44	12	25	25	NUM
ejpam-5462	44	13	]	]	PUNCT
ejpam-5462	44	14	.	.	PUNCT
ejpam-5462	45	1	m.	m.	NOUN
ejpam-5462	45	2	berir	berir	NOUN
ejpam-5462	45	3	/	/	SYM
ejpam-5462	45	4	eur	eur	PROPN
ejpam-5462	45	5	.	.	PUNCT
ejpam-5462	46	1	j.	j.	PROPN
ejpam-5462	46	2	pure	pure	PROPN
ejpam-5462	46	3	appl	appl	PROPN
ejpam-5462	46	4	.	.	PROPN
ejpam-5462	46	5	math	math	PROPN
ejpam-5462	46	6	,	,	PUNCT
ejpam-5462	46	7	17	17	NUM
ejpam-5462	46	8	(	(	PUNCT
ejpam-5462	46	9	4	4	NUM
ejpam-5462	46	10	)	)	PUNCT
ejpam-5462	46	11	(	(	PUNCT
ejpam-5462	46	12	2024	2024	NUM
ejpam-5462	46	13	)	)	PUNCT
ejpam-5462	46	14	,	,	PUNCT
ejpam-5462	46	15	3915	3915	NUM
ejpam-5462	46	16	-	-	SYM
ejpam-5462	46	17	3931	3931	NUM
ejpam-5462	46	18	3917	3917	NUM
ejpam-5462	46	19	in	in	ADP
ejpam-5462	46	20	this	this	DET
ejpam-5462	46	21	paper	paper	NOUN
ejpam-5462	46	22	,	,	PUNCT
ejpam-5462	46	23	the	the	DET
ejpam-5462	46	24	concept	concept	NOUN
ejpam-5462	46	25	of	of	ADP
ejpam-5462	46	26	(	(	PUNCT
ejpam-5462	46	27	hs	hs	X
ejpam-5462	46	28	)	)	PUNCT
ejpam-5462	46	29	,	,	PUNCT
ejpam-5462	46	30	which	which	PRON
ejpam-5462	46	31	is	be	AUX
ejpam-5462	46	32	defined	define	VERB
ejpam-5462	46	33	by	by	ADP
ejpam-5462	46	34	fractional	fractional	ADJ
ejpam-5462	46	35	-	-	PUNCT
ejpam-5462	46	36	order	order	NOUN
ejpam-5462	46	37	derivatives	derivative	NOUN
ejpam-5462	46	38	,	,	PUNCT
ejpam-5462	46	39	is	be	AUX
ejpam-5462	46	40	introduced	introduce	VERB
ejpam-5462	46	41	,	,	PUNCT
ejpam-5462	46	42	and	and	CCONJ
ejpam-5462	46	43	the	the	DET
ejpam-5462	46	44	impact	impact	NOUN
ejpam-5462	46	45	of	of	ADP
ejpam-5462	46	46	white	white	ADJ
ejpam-5462	46	47	noise	noise	NOUN
ejpam-5462	46	48	is	be	AUX
ejpam-5462	46	49	investigated[29	investigated[29	NOUN
ejpam-5462	46	50	]	]	X
ejpam-5462	46	51	.	.	PUNCT
ejpam-5462	47	1	in	in	ADP
ejpam-5462	47	2	addition	addition	NOUN
ejpam-5462	47	3	,	,	PUNCT
ejpam-5462	47	4	we	we	PRON
ejpam-5462	47	5	elaborate	elaborate	VERB
ejpam-5462	47	6	on	on	ADP
ejpam-5462	47	7	certain	certain	ADJ
ejpam-5462	47	8	previous	previous	ADJ
ejpam-5462	47	9	studies	study	NOUN
ejpam-5462	47	10	,	,	PUNCT
ejpam-5462	47	11	including	include	VERB
ejpam-5462	47	12	those	those	PRON
ejpam-5462	47	13	detailed	detail	VERB
ejpam-5462	47	14	in[20	in[20	NOUN
ejpam-5462	47	15	]	]	PUNCT
ejpam-5462	47	16	.	.	PUNCT
ejpam-5462	48	1	furthermore	furthermore	ADV
ejpam-5462	48	2	,	,	PUNCT
ejpam-5462	48	3	we	we	PRON
ejpam-5462	48	4	present	present	VERB
ejpam-5462	48	5	a	a	DET
ejpam-5462	48	6	variety	variety	NOUN
ejpam-5462	48	7	of	of	ADP
ejpam-5462	48	8	figures	figure	NOUN
ejpam-5462	48	9	using	use	VERB
ejpam-5462	48	10	the	the	DET
ejpam-5462	48	11	matlab	matlab	PROPN
ejpam-5462	48	12	2024	2024	NUM
ejpam-5462	48	13	software	software	NOUN
ejpam-5462	48	14	to	to	PART
ejpam-5462	48	15	investigate	investigate	VERB
ejpam-5462	48	16	the	the	DET
ejpam-5462	48	17	influence	influence	NOUN
ejpam-5462	48	18	of	of	ADP
ejpam-5462	48	19	noise	noise	NOUN
ejpam-5462	48	20	on	on	ADP
ejpam-5462	48	21	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	48	22	systems	system	NOUN
ejpam-5462	48	23	(	(	PUNCT
ejpam-5462	48	24	3	3	NUM
ejpam-5462	48	25	,	,	PUNCT
ejpam-5462	48	26	4	4	NUM
ejpam-5462	48	27	)	)	PUNCT
ejpam-5462	48	28	.	.	PUNCT
ejpam-5462	49	1	variable	variable	ADJ
ejpam-5462	49	2	-	-	PUNCT
ejpam-5462	49	3	order	order	NOUN
ejpam-5462	49	4	fractional	fractional	ADJ
ejpam-5462	49	5	calculus	calculus	NOUN
ejpam-5462	49	6	operators	operator	NOUN
ejpam-5462	49	7	are	be	AUX
ejpam-5462	49	8	a	a	DET
ejpam-5462	49	9	valuable	valuable	ADJ
ejpam-5462	49	10	mathematical	mathematical	ADJ
ejpam-5462	49	11	instrument	instrument	NOUN
ejpam-5462	49	12	for	for	ADP
ejpam-5462	49	13	a	a	DET
ejpam-5462	49	14	more	more	ADV
ejpam-5462	49	15	comprehensive	comprehensive	ADJ
ejpam-5462	49	16	examination	examination	NOUN
ejpam-5462	49	17	of	of	ADP
ejpam-5462	49	18	dynamical	dynamical	ADJ
ejpam-5462	49	19	phenomena	phenomenon	NOUN
ejpam-5462	49	20	due	due	ADP
ejpam-5462	49	21	to	to	ADP
ejpam-5462	49	22	their	their	PRON
ejpam-5462	49	23	variable	variable	ADJ
ejpam-5462	49	24	-	-	PUNCT
ejpam-5462	49	25	order	order	NOUN
ejpam-5462	49	26	fractional	fractional	ADJ
ejpam-5462	49	27	order	order	NOUN
ejpam-5462	49	28	[	[	X
ejpam-5462	49	29	31	31	NUM
ejpam-5462	49	30	]	]	PUNCT
ejpam-5462	49	31	.	.	PUNCT
ejpam-5462	50	1	in	in	ADP
ejpam-5462	50	2	reality	reality	NOUN
ejpam-5462	50	3	,	,	PUNCT
ejpam-5462	50	4	the	the	DET
ejpam-5462	50	5	mathematical	mathematical	ADJ
ejpam-5462	50	6	systems	system	NOUN
ejpam-5462	50	7	modeled	model	VERB
ejpam-5462	50	8	by	by	ADP
ejpam-5462	50	9	this	this	DET
ejpam-5462	50	10	innovative	innovative	ADJ
ejpam-5462	50	11	concept	concept	NOUN
ejpam-5462	50	12	exhibit	exhibit	VERB
ejpam-5462	50	13	greater	great	ADJ
ejpam-5462	50	14	sensitivity	sensitivity	NOUN
ejpam-5462	50	15	and	and	CCONJ
ejpam-5462	50	16	accuracy	accuracy	NOUN
ejpam-5462	50	17	.	.	PUNCT
ejpam-5462	51	1	it	it	PRON
ejpam-5462	51	2	is	be	AUX
ejpam-5462	51	3	important	important	ADJ
ejpam-5462	51	4	to	to	PART
ejpam-5462	51	5	note	note	VERB
ejpam-5462	51	6	that	that	SCONJ
ejpam-5462	51	7	the	the	DET
ejpam-5462	51	8	process	process	NOUN
ejpam-5462	51	9	of	of	ADP
ejpam-5462	51	10	obtaining	obtain	VERB
ejpam-5462	51	11	an	an	DET
ejpam-5462	51	12	analytical	analytical	ADJ
ejpam-5462	51	13	solution	solution	NOUN
ejpam-5462	51	14	for	for	ADP
ejpam-5462	51	15	issues	issue	NOUN
ejpam-5462	51	16	involving	involve	VERB
ejpam-5462	51	17	variableorder	variableorder	NOUN
ejpam-5462	51	18	fractional	fractional	ADJ
ejpam-5462	51	19	operators	operator	NOUN
ejpam-5462	51	20	is	be	AUX
ejpam-5462	51	21	frequently	frequently	ADV
ejpam-5462	51	22	exceedingly	exceedingly	ADV
ejpam-5462	51	23	intricate	intricate	ADJ
ejpam-5462	51	24	.	.	PUNCT
ejpam-5462	52	1	therefore	therefore	ADV
ejpam-5462	52	2	,	,	PUNCT
ejpam-5462	52	3	approximative	approximative	ADJ
ejpam-5462	52	4	approaches	approach	NOUN
ejpam-5462	52	5	are	be	AUX
ejpam-5462	52	6	more	more	ADV
ejpam-5462	52	7	likely	likely	ADJ
ejpam-5462	52	8	to	to	PART
ejpam-5462	52	9	be	be	AUX
ejpam-5462	52	10	employed	employ	VERB
ejpam-5462	52	11	to	to	PART
ejpam-5462	52	12	resolve	resolve	VERB
ejpam-5462	52	13	such	such	ADJ
ejpam-5462	52	14	issues	issue	NOUN
ejpam-5462	52	15	.	.	PUNCT
ejpam-5462	53	1	in	in	ADP
ejpam-5462	53	2	[	[	X
ejpam-5462	53	3	9	9	NUM
ejpam-5462	53	4	]	]	PUNCT
ejpam-5462	53	5	,	,	PUNCT
ejpam-5462	53	6	the	the	DET
ejpam-5462	53	7	interested	interested	ADJ
ejpam-5462	53	8	reader	reader	NOUN
ejpam-5462	53	9	can	can	AUX
ejpam-5462	53	10	find	find	VERB
ejpam-5462	53	11	several	several	ADJ
ejpam-5462	53	12	numerical	numerical	ADJ
ejpam-5462	53	13	methods	method	NOUN
ejpam-5462	53	14	for	for	ADP
ejpam-5462	53	15	solving	solve	VERB
ejpam-5462	53	16	fractional	fractional	ADJ
ejpam-5462	53	17	problems	problem	NOUN
ejpam-5462	53	18	of	of	ADP
ejpam-5462	53	19	variable	variable	ADJ
ejpam-5462	53	20	order	order	NOUN
ejpam-5462	53	21	.	.	PUNCT
ejpam-5462	54	1	introducing	introduce	VERB
ejpam-5462	54	2	white	white	ADJ
ejpam-5462	54	3	noise	noise	NOUN
ejpam-5462	54	4	into	into	ADP
ejpam-5462	54	5	chaotic	chaotic	ADJ
ejpam-5462	54	6	systems	system	NOUN
ejpam-5462	54	7	can	can	AUX
ejpam-5462	54	8	effectively	effectively	ADV
ejpam-5462	54	9	decrease	decrease	VERB
ejpam-5462	54	10	their	their	PRON
ejpam-5462	54	11	complexity	complexity	NOUN
ejpam-5462	54	12	and	and	CCONJ
ejpam-5462	54	13	unpredictability	unpredictability	NOUN
ejpam-5462	54	14	.	.	PUNCT
ejpam-5462	55	1	studies	study	NOUN
ejpam-5462	55	2	suggest	suggest	VERB
ejpam-5462	55	3	that	that	SCONJ
ejpam-5462	55	4	noise	noise	NOUN
ejpam-5462	55	5	has	have	VERB
ejpam-5462	55	6	a	a	DET
ejpam-5462	55	7	substantial	substantial	ADJ
ejpam-5462	55	8	impact	impact	NOUN
ejpam-5462	55	9	on	on	ADP
ejpam-5462	55	10	chaotic	chaotic	ADJ
ejpam-5462	55	11	dynamics	dynamic	NOUN
ejpam-5462	55	12	,	,	PUNCT
ejpam-5462	55	13	influencing	influence	VERB
ejpam-5462	55	14	the	the	DET
ejpam-5462	55	15	development	development	NOUN
ejpam-5462	55	16	of	of	ADP
ejpam-5462	55	17	trajectories	trajectory	NOUN
ejpam-5462	55	18	even	even	ADV
ejpam-5462	55	19	when	when	SCONJ
ejpam-5462	55	20	the	the	DET
ejpam-5462	55	21	starting	starting	NOUN
ejpam-5462	55	22	conditions	condition	NOUN
ejpam-5462	55	23	are	be	AUX
ejpam-5462	55	24	the	the	DET
ejpam-5462	55	25	same	same	ADJ
ejpam-5462	55	26	.	.	PUNCT
ejpam-5462	56	1	the	the	DET
ejpam-5462	56	2	unpredictability	unpredictability	NOUN
ejpam-5462	56	3	in	in	ADP
ejpam-5462	56	4	chaotic	chaotic	ADJ
ejpam-5462	56	5	scattering	scattering	NOUN
ejpam-5462	56	6	problems	problem	NOUN
ejpam-5462	56	7	is	be	AUX
ejpam-5462	56	8	further	far	ADV
ejpam-5462	56	9	complicated	complicate	VERB
ejpam-5462	56	10	by	by	ADP
ejpam-5462	56	11	stochastic	stochastic	ADJ
ejpam-5462	56	12	fluctuations	fluctuation	NOUN
ejpam-5462	56	13	,	,	PUNCT
ejpam-5462	56	14	which	which	PRON
ejpam-5462	56	15	can	can	AUX
ejpam-5462	56	16	make	make	VERB
ejpam-5462	56	17	it	it	PRON
ejpam-5462	56	18	difficult	difficult	ADJ
ejpam-5462	56	19	to	to	PART
ejpam-5462	56	20	anticipate	anticipate	VERB
ejpam-5462	56	21	the	the	DET
ejpam-5462	56	22	ultimate	ultimate	ADJ
ejpam-5462	56	23	states	state	NOUN
ejpam-5462	56	24	[	[	X
ejpam-5462	56	25	32	32	NUM
ejpam-5462	56	26	]	]	PUNCT
ejpam-5462	56	27	.	.	PUNCT
ejpam-5462	57	1	nevertheless	nevertheless	ADV
ejpam-5462	57	2	,	,	PUNCT
ejpam-5462	57	3	research	research	NOUN
ejpam-5462	57	4	has	have	AUX
ejpam-5462	57	5	demonstrated	demonstrate	VERB
ejpam-5462	57	6	that	that	SCONJ
ejpam-5462	57	7	low	low	ADJ
ejpam-5462	57	8	-	-	PUNCT
ejpam-5462	57	9	intensity	intensity	NOUN
ejpam-5462	57	10	noise	noise	NOUN
ejpam-5462	57	11	can	can	AUX
ejpam-5462	57	12	decrease	decrease	VERB
ejpam-5462	57	13	irregularity	irregularity	NOUN
ejpam-5462	57	14	in	in	ADP
ejpam-5462	57	15	chaotic	chaotic	ADJ
ejpam-5462	57	16	patterns	pattern	NOUN
ejpam-5462	57	17	,	,	PUNCT
ejpam-5462	57	18	resulting	result	VERB
ejpam-5462	57	19	in	in	ADP
ejpam-5462	57	20	a	a	DET
ejpam-5462	57	21	regularization	regularization	NOUN
ejpam-5462	57	22	effect	effect	NOUN
ejpam-5462	57	23	that	that	PRON
ejpam-5462	57	24	amplifies	amplify	VERB
ejpam-5462	57	25	organization	organization	NOUN
ejpam-5462	57	26	within	within	ADP
ejpam-5462	57	27	the	the	DET
ejpam-5462	57	28	system	system	NOUN
ejpam-5462	57	29	[	[	X
ejpam-5462	57	30	22	22	NUM
ejpam-5462	57	31	]	]	PUNCT
ejpam-5462	57	32	.	.	PUNCT
ejpam-5462	58	1	moreover	moreover	ADV
ejpam-5462	58	2	,	,	PUNCT
ejpam-5462	58	3	novel	novel	ADJ
ejpam-5462	58	4	techniques	technique	NOUN
ejpam-5462	58	5	for	for	ADP
ejpam-5462	58	6	acquiring	acquire	VERB
ejpam-5462	58	7	knowledge	knowledge	NOUN
ejpam-5462	58	8	about	about	ADP
ejpam-5462	58	9	chaotic	chaotic	ADJ
ejpam-5462	58	10	systems	system	NOUN
ejpam-5462	58	11	from	from	ADP
ejpam-5462	58	12	noise	noise	NOUN
ejpam-5462	58	13	-	-	PUNCT
ejpam-5462	58	14	contaminated	contaminate	VERB
ejpam-5462	58	15	data	datum	NOUN
ejpam-5462	58	16	reveal	reveal	VERB
ejpam-5462	58	17	that	that	SCONJ
ejpam-5462	58	18	noise	noise	NOUN
ejpam-5462	58	19	may	may	AUX
ejpam-5462	58	20	be	be	AUX
ejpam-5462	58	21	effectively	effectively	ADV
ejpam-5462	58	22	controlled	control	VERB
ejpam-5462	58	23	,	,	PUNCT
ejpam-5462	58	24	enabling	enable	VERB
ejpam-5462	58	25	precise	precise	ADJ
ejpam-5462	58	26	forecasts	forecast	NOUN
ejpam-5462	58	27	despite	despite	SCONJ
ejpam-5462	58	28	intrinsic	intrinsic	ADJ
ejpam-5462	58	29	disorder	disorder	NOUN
ejpam-5462	58	30	[	[	X
ejpam-5462	58	31	44	44	NUM
ejpam-5462	58	32	]	]	PUNCT
ejpam-5462	58	33	.	.	PUNCT
ejpam-5462	59	1	therefore	therefore	ADV
ejpam-5462	59	2	,	,	PUNCT
ejpam-5462	59	3	although	although	SCONJ
ejpam-5462	59	4	noise	noise	NOUN
ejpam-5462	59	5	adds	add	VERB
ejpam-5462	59	6	complexity	complexity	NOUN
ejpam-5462	59	7	,	,	PUNCT
ejpam-5462	59	8	it	it	PRON
ejpam-5462	59	9	might	might	AUX
ejpam-5462	59	10	paradoxically	paradoxically	ADV
ejpam-5462	59	11	enable	enable	VERB
ejpam-5462	59	12	more	more	ADV
ejpam-5462	59	13	predictable	predictable	ADJ
ejpam-5462	59	14	and	and	CCONJ
ejpam-5462	59	15	organized	organized	ADJ
ejpam-5462	59	16	behavior	behavior	NOUN
ejpam-5462	59	17	in	in	ADP
ejpam-5462	59	18	chaotic	chaotic	ADJ
ejpam-5462	59	19	systems	system	NOUN
ejpam-5462	59	20	under	under	ADP
ejpam-5462	59	21	specific	specific	ADJ
ejpam-5462	59	22	circumstances	circumstance	NOUN
ejpam-5462	59	23	.	.	PUNCT
ejpam-5462	60	1	this	this	DET
ejpam-5462	60	2	paper	paper	NOUN
ejpam-5462	60	3	presents	present	VERB
ejpam-5462	60	4	a	a	DET
ejpam-5462	60	5	novel	novel	ADJ
ejpam-5462	60	6	approach	approach	NOUN
ejpam-5462	60	7	to	to	PART
ejpam-5462	60	8	obtain	obtain	VERB
ejpam-5462	60	9	the	the	DET
ejpam-5462	60	10	constant	constant	ADJ
ejpam-5462	60	11	and	and	CCONJ
ejpam-5462	60	12	variable	variable	ADJ
ejpam-5462	60	13	-	-	PUNCT
ejpam-5462	60	14	order	order	NOUN
ejpam-5462	60	15	fractional	fractional	ADJ
ejpam-5462	60	16	estimates	estimate	NOUN
ejpam-5462	60	17	with	with	ADP
ejpam-5462	60	18	stochasticity	stochasticity	NOUN
ejpam-5462	60	19	for	for	ADP
ejpam-5462	60	20	the	the	DET
ejpam-5462	60	21	financial	financial	ADJ
ejpam-5462	60	22	fractional	fractional	PROPN
ejpam-5462	60	23	caputo	caputo	PROPN
ejpam-5462	60	24	(	(	PUNCT
ejpam-5462	60	25	hs	hs	PROPN
ejpam-5462	60	26	)	)	PUNCT
ejpam-5462	60	27	.	.	PUNCT
ejpam-5462	61	1	in	in	ADP
ejpam-5462	61	2	order	order	NOUN
ejpam-5462	61	3	to	to	PART
ejpam-5462	61	4	derive	derive	VERB
ejpam-5462	61	5	these	these	DET
ejpam-5462	61	6	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	61	7	properties	property	NOUN
ejpam-5462	61	8	with	with	ADP
ejpam-5462	61	9	stochastic	stochastic	ADJ
ejpam-5462	61	10	properties	property	NOUN
ejpam-5462	61	11	,	,	PUNCT
ejpam-5462	61	12	we	we	PRON
ejpam-5462	61	13	employ	employ	VERB
ejpam-5462	61	14	a	a	DET
ejpam-5462	61	15	novel	novel	ADJ
ejpam-5462	61	16	numerical	numerical	ADJ
ejpam-5462	61	17	technique	technique	NOUN
ejpam-5462	61	18	.	.	PUNCT
ejpam-5462	62	1	moreover	moreover	ADV
ejpam-5462	62	2	,	,	PUNCT
ejpam-5462	62	3	we	we	PRON
ejpam-5462	62	4	build	build	VERB
ejpam-5462	62	5	on	on	ADP
ejpam-5462	62	6	previous	previous	ADJ
ejpam-5462	62	7	studies	study	NOUN
ejpam-5462	62	8	,	,	PUNCT
ejpam-5462	62	9	including	include	VERB
ejpam-5462	62	10	the	the	DET
ejpam-5462	62	11	findings	finding	NOUN
ejpam-5462	62	12	reported	report	VERB
ejpam-5462	62	13	in	in	ADP
ejpam-5462	62	14	the	the	DET
ejpam-5462	62	15	reference[7	reference[7	NOUN
ejpam-5462	62	16	]	]	PUNCT
ejpam-5462	62	17	.	.	PUNCT
ejpam-5462	63	1	the	the	DET
ejpam-5462	63	2	generated	generate	VERB
ejpam-5462	63	3	solutions	solution	NOUN
ejpam-5462	63	4	play	play	VERB
ejpam-5462	63	5	a	a	DET
ejpam-5462	63	6	crucial	crucial	ADJ
ejpam-5462	63	7	role	role	NOUN
ejpam-5462	63	8	in	in	ADP
ejpam-5462	63	9	elucidating	elucidate	VERB
ejpam-5462	63	10	compelling	compelling	ADJ
ejpam-5462	63	11	financial	financial	ADJ
ejpam-5462	63	12	phenomena	phenomenon	NOUN
ejpam-5462	63	13	necessary	necessary	ADJ
ejpam-5462	63	14	for	for	ADP
ejpam-5462	63	15	characterizing	characterize	VERB
ejpam-5462	63	16	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	63	17	propagation	propagation	NOUN
ejpam-5462	63	18	.	.	PUNCT
ejpam-5462	64	1	moreover	moreover	ADV
ejpam-5462	64	2	,	,	PUNCT
ejpam-5462	64	3	we	we	PRON
ejpam-5462	64	4	investigate	investigate	VERB
ejpam-5462	64	5	the	the	DET
ejpam-5462	64	6	influence	influence	NOUN
ejpam-5462	64	7	of	of	ADP
ejpam-5462	64	8	noise	noise	NOUN
ejpam-5462	64	9	on	on	ADP
ejpam-5462	64	10	the	the	DET
ejpam-5462	64	11	precise	precise	ADJ
ejpam-5462	64	12	solutions	solution	NOUN
ejpam-5462	64	13	of	of	ADP
ejpam-5462	64	14	system	system	NOUN
ejpam-5462	64	15	(	(	PUNCT
ejpam-5462	64	16	4,5	4,5	NUM
ejpam-5462	64	17	)	)	PUNCT
ejpam-5462	64	18	by	by	ADP
ejpam-5462	64	19	displaying	display	VERB
ejpam-5462	64	20	several	several	ADJ
ejpam-5462	64	21	visual	visual	ADJ
ejpam-5462	64	22	representations	representation	NOUN
ejpam-5462	64	23	.	.	PUNCT
ejpam-5462	65	1	additionally	additionally	ADV
ejpam-5462	65	2	,	,	PUNCT
ejpam-5462	65	3	white	white	ADJ
ejpam-5462	65	4	noise	noise	NOUN
ejpam-5462	65	5	is	be	AUX
ejpam-5462	65	6	employed	employ	VERB
ejpam-5462	65	7	in	in	ADP
ejpam-5462	65	8	the	the	DET
ejpam-5462	65	9	fields	field	NOUN
ejpam-5462	65	10	of	of	ADP
ejpam-5462	65	11	chemistry	chemistry	NOUN
ejpam-5462	65	12	and	and	CCONJ
ejpam-5462	65	13	physics	physics	NOUN
ejpam-5462	65	14	.	.	PUNCT
ejpam-5462	66	1	for	for	ADP
ejpam-5462	66	2	example	example	NOUN
ejpam-5462	66	3	,	,	PUNCT
ejpam-5462	66	4	these	these	DET
ejpam-5462	66	5	circuit	circuit	NOUN
ejpam-5462	66	6	systems	system	NOUN
ejpam-5462	66	7	based	base	VERB
ejpam-5462	66	8	on	on	ADP
ejpam-5462	66	9	memcapacitors	memcapacitor	NOUN
ejpam-5462	66	10	are	be	AUX
ejpam-5462	66	11	employed	employ	VERB
ejpam-5462	66	12	in	in	ADP
ejpam-5462	66	13	the	the	DET
ejpam-5462	66	14	field	field	NOUN
ejpam-5462	66	15	of	of	ADP
ejpam-5462	66	16	physics	physics	NOUN
ejpam-5462	66	17	to	to	PART
ejpam-5462	66	18	understand	understand	VERB
ejpam-5462	66	19	intricate	intricate	ADJ
ejpam-5462	66	20	systems	system	NOUN
ejpam-5462	66	21	such	such	ADJ
ejpam-5462	66	22	as	as	ADP
ejpam-5462	66	23	turbulent	turbulent	ADJ
ejpam-5462	66	24	flow	flow	NOUN
ejpam-5462	66	25	or	or	CCONJ
ejpam-5462	66	26	phase	phase	NOUN
ejpam-5462	66	27	transitions	transition	NOUN
ejpam-5462	66	28	.	.	PUNCT
ejpam-5462	67	1	scientists	scientist	NOUN
ejpam-5462	67	2	can	can	AUX
ejpam-5462	67	3	investigate	investigate	VERB
ejpam-5462	67	4	the	the	DET
ejpam-5462	67	5	emergence	emergence	NOUN
ejpam-5462	67	6	of	of	ADP
ejpam-5462	67	7	ordered	order	VERB
ejpam-5462	67	8	structures	structure	NOUN
ejpam-5462	67	9	from	from	ADP
ejpam-5462	67	10	random	random	ADJ
ejpam-5462	67	11	initial	initial	ADJ
ejpam-5462	67	12	conditions	condition	NOUN
ejpam-5462	67	13	by	by	ADP
ejpam-5462	67	14	taking	take	VERB
ejpam-5462	67	15	into	into	ADP
ejpam-5462	67	16	account	account	NOUN
ejpam-5462	67	17	the	the	DET
ejpam-5462	67	18	stochastic	stochastic	ADJ
ejpam-5462	67	19	nature	nature	NOUN
ejpam-5462	67	20	of	of	ADP
ejpam-5462	67	21	these	these	DET
ejpam-5462	67	22	phenomena	phenomenon	NOUN
ejpam-5462	67	23	.	.	PUNCT
ejpam-5462	68	1	the	the	DET
ejpam-5462	68	2	optimization	optimization	NOUN
ejpam-5462	68	3	of	of	ADP
ejpam-5462	68	4	reaction	reaction	NOUN
ejpam-5462	68	5	conditions	condition	NOUN
ejpam-5462	68	6	and	and	CCONJ
ejpam-5462	68	7	the	the	DET
ejpam-5462	68	8	design	design	NOUN
ejpam-5462	68	9	of	of	ADP
ejpam-5462	68	10	efficient	efficient	ADJ
ejpam-5462	68	11	chemical	chemical	NOUN
ejpam-5462	68	12	reactors	reactor	NOUN
ejpam-5462	68	13	are	be	AUX
ejpam-5462	68	14	facilitated	facilitate	VERB
ejpam-5462	68	15	by	by	ADP
ejpam-5462	68	16	the	the	DET
ejpam-5462	68	17	use	use	NOUN
ejpam-5462	68	18	of	of	ADP
ejpam-5462	68	19	white	white	ADJ
ejpam-5462	68	20	noise	noise	NOUN
ejpam-5462	68	21	in	in	ADP
ejpam-5462	68	22	chemical	chemical	ADJ
ejpam-5462	68	23	kinetics	kinetic	NOUN
ejpam-5462	68	24	to	to	ADP
ejpam-5462	68	25	model	model	NOUN
ejpam-5462	68	26	reaction	reaction	NOUN
ejpam-5462	68	27	processes	process	NOUN
ejpam-5462	68	28	that	that	PRON
ejpam-5462	68	29	involve	involve	VERB
ejpam-5462	68	30	random	random	ADJ
ejpam-5462	68	31	fluctuations	fluctuation	NOUN
ejpam-5462	68	32	.	.	PUNCT
ejpam-5462	69	1	the	the	DET
ejpam-5462	69	2	peculiarity	peculiarity	NOUN
ejpam-5462	69	3	of	of	ADP
ejpam-5462	69	4	this	this	DET
ejpam-5462	69	5	article	article	NOUN
ejpam-5462	69	6	is	be	AUX
ejpam-5462	69	7	the	the	DET
ejpam-5462	69	8	acquisition	acquisition	NOUN
ejpam-5462	69	9	of	of	ADP
ejpam-5462	69	10	the	the	DET
ejpam-5462	69	11	stochastic	stochastic	ADJ
ejpam-5462	69	12	simulation	simulation	NOUN
ejpam-5462	69	13	of	of	ADP
ejpam-5462	69	14	the	the	DET
ejpam-5462	69	15	systems	system	NOUN
ejpam-5462	69	16	(	(	PUNCT
ejpam-5462	69	17	4	4	NUM
ejpam-5462	69	18	-	-	SYM
ejpam-5462	69	19	5	5	NUM
ejpam-5462	69	20	)	)	PUNCT
ejpam-5462	69	21	.	.	PUNCT
ejpam-5462	70	1	we	we	PRON
ejpam-5462	70	2	employ	employ	VERB
ejpam-5462	70	3	two	two	NUM
ejpam-5462	70	4	distinct	distinct	ADJ
ejpam-5462	70	5	methodologies	methodology	NOUN
ejpam-5462	70	6	to	to	PART
ejpam-5462	70	7	generate	generate	VERB
ejpam-5462	70	8	these	these	DET
ejpam-5462	70	9	simulations	simulation	NOUN
ejpam-5462	70	10	:	:	PUNCT
ejpam-5462	70	11	the	the	DET
ejpam-5462	70	12	extended	extended	ADJ
ejpam-5462	70	13	fractional	fractional	ADJ
ejpam-5462	70	14	constant	constant	ADJ
ejpam-5462	70	15	and	and	CCONJ
ejpam-5462	70	16	varibales	varibale	NOUN
ejpam-5462	70	17	orders	order	NOUN
ejpam-5462	70	18	of	of	ADP
ejpam-5462	70	19	the	the	DET
ejpam-5462	70	20	mapping	mapping	NOUN
ejpam-5462	70	21	method	method	NOUN
ejpam-5462	70	22	.	.	PUNCT
ejpam-5462	71	1	additionally	additionally	ADV
ejpam-5462	71	2	,	,	PUNCT
ejpam-5462	71	3	we	we	PRON
ejpam-5462	71	4	elaborate	elaborate	VERB
ejpam-5462	71	5	on	on	ADP
ejpam-5462	71	6	certain	certain	ADJ
ejpam-5462	71	7	prior	prior	ADJ
ejpam-5462	71	8	studies	study	NOUN
ejpam-5462	71	9	,	,	PUNCT
ejpam-5462	71	10	including	include	VERB
ejpam-5462	71	11	those	those	PRON
ejpam-5462	71	12	detailed	detailed	ADJ
ejpam-5462	71	13	in	in	ADP
ejpam-5462	71	14	[	[	X
ejpam-5462	71	15	36	36	NUM
ejpam-5462	71	16	,	,	PUNCT
ejpam-5462	71	17	38	38	NUM
ejpam-5462	71	18	]	]	PUNCT
ejpam-5462	71	19	.	.	PUNCT
ejpam-5462	72	1	the	the	DET
ejpam-5462	72	2	solutions	solution	NOUN
ejpam-5462	72	3	that	that	PRON
ejpam-5462	72	4	were	be	AUX
ejpam-5462	72	5	generated	generate	VERB
ejpam-5462	72	6	are	be	AUX
ejpam-5462	72	7	crucial	crucial	ADJ
ejpam-5462	72	8	in	in	ADP
ejpam-5462	72	9	elucidating	elucidate	VERB
ejpam-5462	72	10	certain	certain	ADJ
ejpam-5462	72	11	thrilling	thrilling	ADJ
ejpam-5462	72	12	physical	physical	ADJ
ejpam-5462	72	13	phenomena	phenomenon	NOUN
ejpam-5462	72	14	,	,	PUNCT
ejpam-5462	72	15	as	as	ADP
ejpam-5462	72	16	the	the	DET
ejpam-5462	72	17	finanm	finanm	NOUN
ejpam-5462	72	18	.	.	PUNCT
ejpam-5462	73	1	berir	berir	NOUN
ejpam-5462	73	2	/	/	SYM
ejpam-5462	73	3	eur	eur	PROPN
ejpam-5462	73	4	.	.	PUNCT
ejpam-5462	74	1	j.	j.	PROPN
ejpam-5462	74	2	pure	pure	PROPN
ejpam-5462	74	3	appl	appl	PROPN
ejpam-5462	74	4	.	.	PROPN
ejpam-5462	74	5	math	math	PROPN
ejpam-5462	74	6	,	,	PUNCT
ejpam-5462	74	7	17	17	NUM
ejpam-5462	74	8	(	(	PUNCT
ejpam-5462	74	9	4	4	NUM
ejpam-5462	74	10	)	)	PUNCT
ejpam-5462	74	11	(	(	PUNCT
ejpam-5462	74	12	2024	2024	NUM
ejpam-5462	74	13	)	)	PUNCT
ejpam-5462	74	14	,	,	PUNCT
ejpam-5462	74	15	3915	3915	NUM
ejpam-5462	74	16	-	-	SYM
ejpam-5462	74	17	3931	3931	NUM
ejpam-5462	74	18	3918	3918	NUM
ejpam-5462	74	19	cial	cial	ADJ
ejpam-5462	74	20	fractional	fractional	ADJ
ejpam-5462	74	21	system	system	NOUN
ejpam-5462	74	22	is	be	AUX
ejpam-5462	74	23	necessary	necessary	ADJ
ejpam-5462	74	24	to	to	PART
ejpam-5462	74	25	describe	describe	VERB
ejpam-5462	74	26	marketing	marketing	NOUN
ejpam-5462	74	27	propagation	propagation	NOUN
ejpam-5462	74	28	.	.	PUNCT
ejpam-5462	75	1	furthermore	furthermore	ADV
ejpam-5462	75	2	,	,	PUNCT
ejpam-5462	75	3	we	we	PRON
ejpam-5462	75	4	present	present	VERB
ejpam-5462	75	5	a	a	DET
ejpam-5462	75	6	variety	variety	NOUN
ejpam-5462	75	7	of	of	ADP
ejpam-5462	75	8	figures	figure	NOUN
ejpam-5462	75	9	to	to	PART
ejpam-5462	75	10	investigate	investigate	VERB
ejpam-5462	75	11	the	the	DET
ejpam-5462	75	12	influence	influence	NOUN
ejpam-5462	75	13	of	of	ADP
ejpam-5462	75	14	noise	noise	NOUN
ejpam-5462	75	15	on	on	ADP
ejpam-5462	75	16	the	the	DET
ejpam-5462	75	17	precise	precise	ADJ
ejpam-5462	75	18	solutions	solution	NOUN
ejpam-5462	75	19	of	of	ADP
ejpam-5462	75	20	the	the	DET
ejpam-5462	75	21	financial	financial	ADJ
ejpam-5462	75	22	fractional	fractional	ADJ
ejpam-5462	75	23	systems	system	NOUN
ejpam-5462	75	24	(	(	PUNCT
ejpam-5462	75	25	4	4	NUM
ejpam-5462	75	26	-	-	SYM
ejpam-5462	75	27	5	5	NUM
ejpam-5462	75	28	)	)	PUNCT
ejpam-5462	75	29	.	.	PUNCT
ejpam-5462	76	1	the	the	DET
ejpam-5462	76	2	article	article	NOUN
ejpam-5462	76	3	is	be	AUX
ejpam-5462	76	4	organized	organize	VERB
ejpam-5462	76	5	in	in	ADP
ejpam-5462	76	6	the	the	DET
ejpam-5462	76	7	following	follow	VERB
ejpam-5462	76	8	manner	manner	NOUN
ejpam-5462	76	9	:	:	PUNCT
ejpam-5462	76	10	this	this	DET
ejpam-5462	76	11	document	document	NOUN
ejpam-5462	76	12	presents	present	VERB
ejpam-5462	76	13	definitions	definition	NOUN
ejpam-5462	76	14	and	and	CCONJ
ejpam-5462	76	15	notations	notation	NOUN
ejpam-5462	76	16	of	of	ADP
ejpam-5462	76	17	variable	variable	ADJ
ejpam-5462	76	18	-	-	PUNCT
ejpam-5462	76	19	order	order	NOUN
ejpam-5462	76	20	fractional	fractional	ADJ
ejpam-5462	76	21	derivatives	derivative	NOUN
ejpam-5462	76	22	at	at	ADP
ejpam-5462	76	23	the	the	DET
ejpam-5462	76	24	basic	basic	ADJ
ejpam-5462	76	25	level	level	NOUN
ejpam-5462	76	26	.	.	PUNCT
ejpam-5462	77	1	for	for	ADP
ejpam-5462	77	2	section	section	NOUN
ejpam-5462	77	3	2	2	NUM
ejpam-5462	77	4	.	.	PUNCT
ejpam-5462	77	5	analysis	analysis	NOUN
ejpam-5462	77	6	of	of	ADP
ejpam-5462	77	7	the	the	DET
ejpam-5462	77	8	effects	effect	NOUN
ejpam-5462	77	9	of	of	ADP
ejpam-5462	77	10	white	white	ADJ
ejpam-5462	77	11	noise	noise	NOUN
ejpam-5462	77	12	and	and	CCONJ
ejpam-5462	77	13	simulations	simulation	NOUN
ejpam-5462	77	14	on	on	ADP
ejpam-5462	77	15	the	the	DET
ejpam-5462	77	16	financial	financial	ADJ
ejpam-5462	77	17	system	system	NOUN
ejpam-5462	77	18	using	use	VERB
ejpam-5462	77	19	constant	constant	ADJ
ejpam-5462	77	20	and	and	CCONJ
ejpam-5462	77	21	variable	variable	ADJ
ejpam-5462	77	22	-	-	PUNCT
ejpam-5462	77	23	order	order	NOUN
ejpam-5462	77	24	fractional	fractional	ADJ
ejpam-5462	77	25	methods	method	NOUN
ejpam-5462	77	26	.	.	PUNCT
ejpam-5462	78	1	an	an	DET
ejpam-5462	78	2	analysis	analysis	NOUN
ejpam-5462	78	3	of	of	ADP
ejpam-5462	78	4	caputo	caputo	PROPN
ejpam-5462	78	5	hyperchaotic	hyperchaotic	PROPN
ejpam-5462	78	6	systems	system	NOUN
ejpam-5462	78	7	is	be	AUX
ejpam-5462	78	8	conducted	conduct	VERB
ejpam-5462	78	9	in	in	ADP
ejpam-5462	78	10	section	section	NOUN
ejpam-5462	78	11	3	3	NUM
ejpam-5462	78	12	.	.	PUNCT
ejpam-5462	78	13	section	section	NOUN
ejpam-5462	78	14	4	4	NUM
ejpam-5462	78	15	of	of	ADP
ejpam-5462	78	16	the	the	DET
ejpam-5462	78	17	manuscript	manuscript	NOUN
ejpam-5462	78	18	focuses	focus	VERB
ejpam-5462	78	19	on	on	ADP
ejpam-5462	78	20	modeling	model	VERB
ejpam-5462	78	21	the	the	DET
ejpam-5462	78	22	financial	financial	ADJ
ejpam-5462	78	23	system	system	NOUN
ejpam-5462	78	24	using	use	VERB
ejpam-5462	78	25	white	white	ADJ
ejpam-5462	78	26	noise	noise	NOUN
ejpam-5462	78	27	.	.	PUNCT
ejpam-5462	79	1	the	the	DET
ejpam-5462	79	2	final	final	ADJ
ejpam-5462	79	3	conclusion	conclusion	NOUN
ejpam-5462	79	4	is	be	AUX
ejpam-5462	79	5	articulated	articulate	VERB
ejpam-5462	79	6	in	in	ADP
ejpam-5462	79	7	section	section	NOUN
ejpam-5462	79	8	5	5	NUM
ejpam-5462	79	9	.	.	NOUN
ejpam-5462	80	1	2	2	NUM
ejpam-5462	80	2	.	.	PUNCT
ejpam-5462	80	3	preliminaries	preliminary	NOUN
ejpam-5462	80	4	this	this	DET
ejpam-5462	80	5	part	part	NOUN
ejpam-5462	80	6	provides	provide	VERB
ejpam-5462	80	7	essential	essential	ADJ
ejpam-5462	80	8	definitions	definition	NOUN
ejpam-5462	80	9	of	of	ADP
ejpam-5462	80	10	caputo	caputo	PROPN
ejpam-5462	80	11	variable	variable	ADJ
ejpam-5462	80	12	-	-	PUNCT
ejpam-5462	80	13	order	order	NOUN
ejpam-5462	80	14	fractional	fractional	ADJ
ejpam-5462	80	15	derivatives	derivative	NOUN
ejpam-5462	80	16	,	,	PUNCT
ejpam-5462	80	17	which	which	PRON
ejpam-5462	80	18	will	will	AUX
ejpam-5462	80	19	be	be	AUX
ejpam-5462	80	20	applied	apply	VERB
ejpam-5462	80	21	in	in	ADP
ejpam-5462	80	22	subsequent	subsequent	ADJ
ejpam-5462	80	23	sections	section	NOUN
ejpam-5462	80	24	.	.	PUNCT
ejpam-5462	81	1	these	these	DET
ejpam-5462	81	2	definitions	definition	NOUN
ejpam-5462	81	3	are	be	AUX
ejpam-5462	81	4	presented	present	VERB
ejpam-5462	81	5	in	in	ADP
ejpam-5462	81	6	this	this	DET
ejpam-5462	81	7	section	section	NOUN
ejpam-5462	81	8	.	.	PUNCT
ejpam-5462	82	1	definition	definition	NOUN
ejpam-5462	82	2	1	1	NUM
ejpam-5462	82	3	.	.	PUNCT
ejpam-5462	83	1	(	(	PUNCT
ejpam-5462	83	2	[	[	X
ejpam-5462	83	3	35	35	NUM
ejpam-5462	83	4	]	]	NUM
ejpam-5462	83	5	)	)	PUNCT
ejpam-5462	83	6	.	.	PUNCT
ejpam-5462	84	1	the	the	DET
ejpam-5462	84	2	beta	beta	ADJ
ejpam-5462	84	3	function	function	NOUN
ejpam-5462	84	4	is	be	AUX
ejpam-5462	84	5	given	give	VERB
ejpam-5462	84	6	by	by	ADP
ejpam-5462	84	7	β(t	β(t	PROPN
ejpam-5462	84	8	)	)	PUNCT
ejpam-5462	84	9	is	be	AUX
ejpam-5462	84	10	defined	define	VERB
ejpam-5462	84	11	as	as	ADP
ejpam-5462	84	12	β(µ	β(µ	NOUN
ejpam-5462	84	13	,	,	PUNCT
ejpam-5462	84	14	λ	λ	NOUN
ejpam-5462	84	15	)	)	PUNCT
ejpam-5462	85	1	=	=	SYM
ejpam-5462	85	2	∫	∫	PROPN
ejpam-5462	86	1	1	1	NUM
ejpam-5462	86	2	0	0	X
ejpam-5462	86	3	tµ−1(1−	tµ−1(1−	PROPN
ejpam-5462	86	4	t)λ−1	t)λ−1	ADP
ejpam-5462	86	5	dt	dt	X
ejpam-5462	86	6	,	,	PUNCT
ejpam-5462	86	7	µ	µ	X
ejpam-5462	86	8	>	>	X
ejpam-5462	86	9	0	0	PROPN
ejpam-5462	86	10	,	,	PUNCT
ejpam-5462	86	11	λ	λ	X
ejpam-5462	86	12	>	>	X
ejpam-5462	86	13	0	0	PUNCT
ejpam-5462	86	14	(	(	PUNCT
ejpam-5462	86	15	1	1	X
ejpam-5462	86	16	)	)	PUNCT
ejpam-5462	86	17	it	it	PRON
ejpam-5462	86	18	is	be	AUX
ejpam-5462	86	19	important	important	ADJ
ejpam-5462	86	20	to	to	PART
ejpam-5462	86	21	note	note	VERB
ejpam-5462	86	22	that	that	SCONJ
ejpam-5462	86	23	the	the	DET
ejpam-5462	86	24	beta	beta	ADJ
ejpam-5462	86	25	function	function	NOUN
ejpam-5462	86	26	is	be	AUX
ejpam-5462	86	27	symmetric	symmetric	ADJ
ejpam-5462	86	28	,	,	PUNCT
ejpam-5462	86	29	which	which	PRON
ejpam-5462	86	30	means	mean	VERB
ejpam-5462	86	31	that	that	SCONJ
ejpam-5462	86	32	β(µ	β(µ	VERB
ejpam-5462	86	33	,	,	PUNCT
ejpam-5462	86	34	λ	λ	NOUN
ejpam-5462	86	35	)	)	PUNCT
ejpam-5462	86	36	=	=	SYM
ejpam-5462	86	37	β(λ	β(λ	NOUN
ejpam-5462	86	38	,	,	PUNCT
ejpam-5462	86	39	µ	µ	NOUN
ejpam-5462	86	40	)	)	PUNCT
ejpam-5462	86	41	.	.	PUNCT
ejpam-5462	87	1	in	in	ADP
ejpam-5462	87	2	the	the	DET
ejpam-5462	87	3	interim	interim	NOUN
ejpam-5462	87	4	,	,	PUNCT
ejpam-5462	87	5	the	the	DET
ejpam-5462	87	6	beta	beta	NOUN
ejpam-5462	87	7	function	function	NOUN
ejpam-5462	87	8	’s	’s	PART
ejpam-5462	87	9	robust	robust	ADJ
ejpam-5462	87	10	correlation	correlation	NOUN
ejpam-5462	87	11	with	with	ADP
ejpam-5462	87	12	the	the	DET
ejpam-5462	87	13	gamma	gamma	NOUN
ejpam-5462	87	14	function	function	NOUN
ejpam-5462	87	15	is	be	AUX
ejpam-5462	87	16	a	a	DET
ejpam-5462	87	17	noteworthy	noteworthy	ADJ
ejpam-5462	87	18	attribute	attribute	NOUN
ejpam-5462	87	19	.	.	PUNCT
ejpam-5462	88	1	β(µ	β(µ	VERB
ejpam-5462	88	2	,	,	PUNCT
ejpam-5462	88	3	λ	λ	NOUN
ejpam-5462	88	4	)	)	PUNCT
ejpam-5462	88	5	=	=	SYM
ejpam-5462	88	6	γ(µ)γ(λ	γ(µ)γ(λ	NOUN
ejpam-5462	88	7	)	)	PUNCT
ejpam-5462	88	8	γ(µ+	γ(µ+	PUNCT
ejpam-5462	89	1	λ	λ	X
ejpam-5462	89	2	)	)	PUNCT
ejpam-5462	89	3	where	where	SCONJ
ejpam-5462	89	4	(	(	PUNCT
ejpam-5462	89	5	γ	γ	X
ejpam-5462	89	6	(	(	PUNCT
ejpam-5462	89	7	.	.	PUNCT
ejpam-5462	89	8	)	)	PUNCT
ejpam-5462	89	9	)	)	PUNCT
ejpam-5462	89	10	denotes	denote	VERB
ejpam-5462	89	11	the	the	DET
ejpam-5462	89	12	gamma	gamma	PROPN
ejpam-5462	89	13	function.for	function.for	ADP
ejpam-5462	89	14	the	the	DET
ejpam-5462	89	15	mittag	mittag	ADJ
ejpam-5462	89	16	-	-	PUNCT
ejpam-5462	89	17	leffler	leffler	NOUN
ejpam-5462	89	18	function	function	NOUN
ejpam-5462	89	19	:	:	PUNCT
ejpam-5462	89	20	definition	definition	NOUN
ejpam-5462	89	21	2	2	NUM
ejpam-5462	89	22	.	.	PUNCT
ejpam-5462	90	1	(	(	PUNCT
ejpam-5462	90	2	[	[	X
ejpam-5462	90	3	35	35	NUM
ejpam-5462	90	4	]	]	NUM
ejpam-5462	90	5	)	)	PUNCT
ejpam-5462	90	6	.	.	PUNCT
ejpam-5462	91	1	the	the	DET
ejpam-5462	91	2	mittag	mittag	ADJ
ejpam-5462	91	3	–	–	PUNCT
ejpam-5462	91	4	lefer	lefer	NOUN
ejpam-5462	91	5	function	function	NOUN
ejpam-5462	91	6	is	be	AUX
ejpam-5462	91	7	given	give	VERB
ejpam-5462	91	8	by	by	ADP
ejpam-5462	91	9	eµ,λ(z	eµ,λ(z	NOUN
ejpam-5462	91	10	)	)	PUNCT
ejpam-5462	91	11	=	=	NOUN
ejpam-5462	92	1	∞∑	∞∑	NUM
ejpam-5462	92	2	j=0	j=0	PROPN
ejpam-5462	92	3	zj	zj	PROPN
ejpam-5462	92	4	γ(µj	γ(µj	PROPN
ejpam-5462	92	5	+	+	NUM
ejpam-5462	92	6	λ	λ	NOUN
ejpam-5462	92	7	)	)	PUNCT
ejpam-5462	92	8	,	,	PUNCT
ejpam-5462	92	9	z	z	NOUN
ejpam-5462	92	10	∈	∈	PROPN
ejpam-5462	92	11	c+	c+	NOUN
ejpam-5462	92	12	,	,	PUNCT
ejpam-5462	92	13	t	t	PROPN
ejpam-5462	92	14	∈	∈	PROPN
ejpam-5462	92	15	r	r	NOUN
ejpam-5462	92	16	(	(	PUNCT
ejpam-5462	92	17	2	2	NUM
ejpam-5462	92	18	)	)	PUNCT
ejpam-5462	92	19	note	note	VERB
ejpam-5462	92	20	that	that	SCONJ
ejpam-5462	92	21	for	for	ADP
ejpam-5462	92	22	λ	λ	PROPN
ejpam-5462	92	23	=	=	SYM
ejpam-5462	92	24	1	1	NUM
ejpam-5462	92	25	,	,	PUNCT
ejpam-5462	92	26	it	it	PRON
ejpam-5462	92	27	is	be	AUX
ejpam-5462	92	28	abbreviated	abbreviate	VERB
ejpam-5462	92	29	as	as	ADP
ejpam-5462	92	30	eµ(t	eµ(t	NOUN
ejpam-5462	92	31	)	)	PUNCT
ejpam-5462	92	32	=	=	SYM
ejpam-5462	92	33	eµ,1(t	eµ,1(t	PROPN
ejpam-5462	92	34	)	)	PUNCT
ejpam-5462	92	35	.	.	PUNCT
ejpam-5462	93	1	definition	definition	NOUN
ejpam-5462	93	2	3	3	NUM
ejpam-5462	93	3	.	.	PUNCT
ejpam-5462	94	1	(	(	PUNCT
ejpam-5462	94	2	[	[	X
ejpam-5462	94	3	28	28	NUM
ejpam-5462	94	4	]	]	NUM
ejpam-5462	94	5	)	)	PUNCT
ejpam-5462	94	6	.	.	PUNCT
ejpam-5462	95	1	the	the	DET
ejpam-5462	95	2	caputo	caputo	PROPN
ejpam-5462	95	3	fractional	fractional	PROPN
ejpam-5462	95	4	derivative	derivative	NOUN
ejpam-5462	95	5	with	with	ADP
ejpam-5462	95	6	a	a	DET
ejpam-5462	95	7	varying	vary	VERB
ejpam-5462	95	8	order	order	NOUN
ejpam-5462	95	9	β(t	β(t	PROPN
ejpam-5462	95	10	)	)	PUNCT
ejpam-5462	95	11	is	be	AUX
ejpam-5462	95	12	defined	define	VERB
ejpam-5462	95	13	as	as	ADP
ejpam-5462	95	14	v	v	NOUN
ejpam-5462	95	15	o	o	NOUN
ejpam-5462	95	16	0	0	PUNCT
ejpam-5462	96	1	d	d	PROPN
ejpam-5462	96	2	β(t	β(t	PROPN
ejpam-5462	96	3	)	)	PUNCT
ejpam-5462	96	4	t	t	NOUN
ejpam-5462	96	5	{	{	PUNCT
ejpam-5462	96	6	x	x	PROPN
ejpam-5462	96	7	(	(	PUNCT
ejpam-5462	96	8	t	t	NOUN
ejpam-5462	96	9	)	)	PUNCT
ejpam-5462	96	10	}	}	PUNCT
ejpam-5462	96	11	=	=	SYM
ejpam-5462	96	12	1	1	NUM
ejpam-5462	96	13	γ(1−	γ(1−	NOUN
ejpam-5462	96	14	β(t	β(t	PROPN
ejpam-5462	96	15	)	)	PUNCT
ejpam-5462	96	16	)	)	PUNCT
ejpam-5462	97	1	∫	∫	PROPN
ejpam-5462	97	2	t	t	PROPN
ejpam-5462	97	3	0	0	NUM
ejpam-5462	98	1	(	(	PUNCT
ejpam-5462	98	2	t−	t−	PROPN
ejpam-5462	98	3	τ)−β(t)x	τ)−β(t)x	PROPN
ejpam-5462	98	4	′(τ	′(τ	NOUN
ejpam-5462	98	5	)	)	PUNCT
ejpam-5462	98	6	dτ	dτ	NOUN
ejpam-5462	98	7	,	,	PUNCT
ejpam-5462	98	8	0	0	PUNCT
ejpam-5462	98	9	<	<	X
ejpam-5462	98	10	β(t	β(t	PROPN
ejpam-5462	98	11	)	)	PUNCT
ejpam-5462	99	1	<	<	X
ejpam-5462	99	2	1	1	X
ejpam-5462	99	3	.	.	PUNCT
ejpam-5462	99	4	(	(	PUNCT
ejpam-5462	99	5	3	3	X
ejpam-5462	99	6	)	)	PUNCT
ejpam-5462	99	7	definition	definition	NOUN
ejpam-5462	99	8	4	4	NUM
ejpam-5462	99	9	.	.	PUNCT
ejpam-5462	100	1	(	(	PUNCT
ejpam-5462	100	2	[	[	X
ejpam-5462	100	3	34	34	NUM
ejpam-5462	100	4	]	]	PUNCT
ejpam-5462	100	5	)	)	PUNCT
ejpam-5462	100	6	.	.	PUNCT
ejpam-5462	101	1	the	the	DET
ejpam-5462	101	2	caputo	caputo	PROPN
ejpam-5462	101	3	derivative	derivative	NOUN
ejpam-5462	101	4	with	with	ADP
ejpam-5462	101	5	constant	constant	ADJ
ejpam-5462	101	6	order	order	NOUN
ejpam-5462	101	7	β	β	NOUN
ejpam-5462	101	8	is	be	AUX
ejpam-5462	101	9	given	give	VERB
ejpam-5462	101	10	as	as	SCONJ
ejpam-5462	101	11	follows	follow	VERB
ejpam-5462	101	12	:	:	PUNCT
ejpam-5462	101	13	c	c	NOUN
ejpam-5462	101	14	0	0	PUNCT
ejpam-5462	102	1	d	d	NOUN
ejpam-5462	102	2	β	β	X
ejpam-5462	102	3	t	t	PROPN
ejpam-5462	102	4	{	{	PUNCT
ejpam-5462	102	5	x	x	PROPN
ejpam-5462	102	6	(	(	PUNCT
ejpam-5462	102	7	t	t	NOUN
ejpam-5462	102	8	)	)	PUNCT
ejpam-5462	102	9	}	}	PUNCT
ejpam-5462	102	10	=	=	SYM
ejpam-5462	102	11	1	1	NUM
ejpam-5462	102	12	γ(1−	γ(1−	NOUN
ejpam-5462	102	13	β	β	X
ejpam-5462	102	14	)	)	PUNCT
ejpam-5462	102	15	∫	∫	PROPN
ejpam-5462	103	1	t	t	PROPN
ejpam-5462	103	2	0	0	NUM
ejpam-5462	103	3	1	1	NUM
ejpam-5462	103	4	(	(	PUNCT
ejpam-5462	103	5	t−	t−	PROPN
ejpam-5462	103	6	w)β	w)β	PROPN
ejpam-5462	103	7	d	d	X
ejpam-5462	103	8	dw	dw	X
ejpam-5462	103	9	x	x	SYM
ejpam-5462	103	10	(	(	PUNCT
ejpam-5462	103	11	w)dw	w)dw	PROPN
ejpam-5462	103	12	,	,	PUNCT
ejpam-5462	103	13	0	0	PUNCT
ejpam-5462	103	14	<	<	X
ejpam-5462	103	15	β	β	X
ejpam-5462	103	16	<	<	X
ejpam-5462	103	17	1	1	NUM
ejpam-5462	103	18	.	.	PUNCT
ejpam-5462	103	19	(	(	PUNCT
ejpam-5462	103	20	4	4	X
ejpam-5462	103	21	)	)	PUNCT
ejpam-5462	103	22	m.	m.	NOUN
ejpam-5462	103	23	berir	berir	NOUN
ejpam-5462	103	24	/	/	SYM
ejpam-5462	103	25	eur	eur	PROPN
ejpam-5462	103	26	.	.	PUNCT
ejpam-5462	104	1	j.	j.	PROPN
ejpam-5462	104	2	pure	pure	PROPN
ejpam-5462	104	3	appl	appl	PROPN
ejpam-5462	104	4	.	.	PROPN
ejpam-5462	104	5	math	math	PROPN
ejpam-5462	104	6	,	,	PUNCT
ejpam-5462	104	7	17	17	NUM
ejpam-5462	104	8	(	(	PUNCT
ejpam-5462	104	9	4	4	NUM
ejpam-5462	104	10	)	)	PUNCT
ejpam-5462	104	11	(	(	PUNCT
ejpam-5462	104	12	2024	2024	NUM
ejpam-5462	104	13	)	)	PUNCT
ejpam-5462	104	14	,	,	PUNCT
ejpam-5462	104	15	3915	3915	NUM
ejpam-5462	104	16	-	-	SYM
ejpam-5462	104	17	3931	3931	NUM
ejpam-5462	104	18	3919	3919	NUM
ejpam-5462	104	19	definition	definition	NOUN
ejpam-5462	104	20	5	5	NUM
ejpam-5462	104	21	.	.	PUNCT
ejpam-5462	105	1	(	(	PUNCT
ejpam-5462	105	2	[	[	X
ejpam-5462	105	3	18	18	NUM
ejpam-5462	105	4	]	]	NUM
ejpam-5462	105	5	)	)	PUNCT
ejpam-5462	105	6	.	.	PUNCT
ejpam-5462	106	1	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	106	2	systems	system	NOUN
ejpam-5462	106	3	of	of	ADP
ejpam-5462	106	4	constant	constant	ADJ
ejpam-5462	106	5	and	and	CCONJ
ejpam-5462	106	6	variable	variable	ADJ
ejpam-5462	106	7	order	order	NOUN
ejpam-5462	106	8	:	:	PUNCT
ejpam-5462	106	9	white	white	ADJ
ejpam-5462	106	10	noise	noise	NOUN
ejpam-5462	106	11	in	in	ADP
ejpam-5462	106	12	fractional	fractional	ADJ
ejpam-5462	106	13	calculuswhite	calculuswhite	NOUN
ejpam-5462	106	14	noise	noise	NOUN
ejpam-5462	106	15	is	be	AUX
ejpam-5462	106	16	a	a	DET
ejpam-5462	106	17	stochastic	stochastic	ADJ
ejpam-5462	106	18	process	process	NOUN
ejpam-5462	106	19	in	in	ADP
ejpam-5462	106	20	fractional	fractional	ADJ
ejpam-5462	106	21	calculus	calculus	NOUN
ejpam-5462	106	22	,	,	PUNCT
ejpam-5462	106	23	especially	especially	ADV
ejpam-5462	106	24	in	in	ADP
ejpam-5462	106	25	constant	constant	ADJ
ejpam-5462	106	26	and	and	CCONJ
ejpam-5462	106	27	variable	variable	ADJ
ejpam-5462	106	28	-	-	PUNCT
ejpam-5462	106	29	order	order	NOUN
ejpam-5462	106	30	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	106	31	systems	system	NOUN
ejpam-5462	106	32	.	.	PUNCT
ejpam-5462	107	1	w	w	NOUN
ejpam-5462	107	2	(	(	PUNCT
ejpam-5462	107	3	t),x[w	t),x[w	PROPN
ejpam-5462	107	4	(	(	PUNCT
ejpam-5462	107	5	t	t	NOUN
ejpam-5462	107	6	)	)	PUNCT
ejpam-5462	107	7	]	]	PUNCT
ejpam-5462	108	1	=	=	SYM
ejpam-5462	108	2	0	0	NUM
ejpam-5462	108	3	characterized	characterize	VERB
ejpam-5462	108	4	by	by	ADP
ejpam-5462	108	5	a	a	DET
ejpam-5462	108	6	mean	mean	NOUN
ejpam-5462	108	7	of	of	ADP
ejpam-5462	108	8	zero	zero	NUM
ejpam-5462	108	9	and	and	CCONJ
ejpam-5462	108	10	a	a	DET
ejpam-5462	108	11	delta	delta	NOUN
ejpam-5462	108	12	-	-	PUNCT
ejpam-5462	108	13	correlated	correlate	VERB
ejpam-5462	108	14	covariance	covariance	NOUN
ejpam-5462	108	15	function	function	NOUN
ejpam-5462	108	16	.	.	PUNCT
ejpam-5462	109	1	mathematically	mathematically	ADV
ejpam-5462	109	2	,	,	PUNCT
ejpam-5462	109	3	it	it	PRON
ejpam-5462	109	4	is	be	AUX
ejpam-5462	109	5	expressed	express	VERB
ejpam-5462	109	6	as	as	ADP
ejpam-5462	109	7	:	:	PUNCT
ejpam-5462	109	8	x[w	x[w	PROPN
ejpam-5462	109	9	(	(	PUNCT
ejpam-5462	109	10	t)w	t)w	X
ejpam-5462	109	11	(	(	PUNCT
ejpam-5462	109	12	t′	t′	NUM
ejpam-5462	109	13	)	)	PUNCT
ejpam-5462	109	14	]	]	PUNCT
ejpam-5462	110	1	=	=	PUNCT
ejpam-5462	110	2	σ2γ(t−	σ2γ(t−	NUM
ejpam-5462	110	3	t′	t′	NOUN
ejpam-5462	110	4	)	)	PUNCT
ejpam-5462	110	5	,	,	PUNCT
ejpam-5462	110	6	(	(	PUNCT
ejpam-5462	110	7	5	5	X
ejpam-5462	110	8	)	)	PUNCT
ejpam-5462	110	9	where	where	SCONJ
ejpam-5462	110	10	x	x	PRON
ejpam-5462	110	11	denotes	denote	VERB
ejpam-5462	110	12	the	the	DET
ejpam-5462	110	13	expectation	expectation	NOUN
ejpam-5462	110	14	operator	operator	NOUN
ejpam-5462	110	15	,	,	PUNCT
ejpam-5462	110	16	σ2	σ2	NOUN
ejpam-5462	110	17	represents	represent	VERB
ejpam-5462	110	18	the	the	DET
ejpam-5462	110	19	variance	variance	NOUN
ejpam-5462	110	20	of	of	ADP
ejpam-5462	110	21	the	the	DET
ejpam-5462	110	22	noise	noise	NOUN
ejpam-5462	110	23	,	,	PUNCT
ejpam-5462	110	24	δ	δ	PROPN
ejpam-5462	110	25	(	(	PUNCT
ejpam-5462	110	26	·	·	PUNCT
ejpam-5462	110	27	)	)	PUNCT
ejpam-5462	110	28	is	be	AUX
ejpam-5462	110	29	the	the	DET
ejpam-5462	110	30	dirac	dirac	PROPN
ejpam-5462	110	31	delta	delta	NOUN
ejpam-5462	110	32	function	function	NOUN
ejpam-5462	110	33	,	,	PUNCT
ejpam-5462	110	34	and	and	CCONJ
ejpam-5462	110	35	t	t	PROPN
ejpam-5462	110	36	and	and	CCONJ
ejpam-5462	110	37	t′	t′	NUM
ejpam-5462	110	38	are	be	AUX
ejpam-5462	110	39	distinct	distinct	ADJ
ejpam-5462	110	40	time	time	NOUN
ejpam-5462	110	41	instances.white	instances.white	PROPN
ejpam-5462	110	42	noise	noise	NOUN
ejpam-5462	110	43	in	in	ADP
ejpam-5462	110	44	fractionalorder	fractionalorder	ADJ
ejpam-5462	110	45	systems	system	NOUN
ejpam-5462	110	46	can	can	AUX
ejpam-5462	110	47	cause	cause	VERB
ejpam-5462	110	48	disturbances	disturbance	NOUN
ejpam-5462	110	49	that	that	PRON
ejpam-5462	110	50	shape	shape	VERB
ejpam-5462	110	51	the	the	DET
ejpam-5462	110	52	dynamic	dynamic	ADJ
ejpam-5462	110	53	behavior	behavior	NOUN
ejpam-5462	110	54	,	,	PUNCT
ejpam-5462	110	55	perhaps	perhaps	ADV
ejpam-5462	110	56	resulting	result	VERB
ejpam-5462	110	57	in	in	ADP
ejpam-5462	110	58	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	110	59	states	state	NOUN
ejpam-5462	110	60	,	,	PUNCT
ejpam-5462	110	61	which	which	PRON
ejpam-5462	110	62	are	be	AUX
ejpam-5462	110	63	determined	determine	VERB
ejpam-5462	110	64	by	by	ADP
ejpam-5462	110	65	the	the	DET
ejpam-5462	110	66	system	system	NOUN
ejpam-5462	110	67	’s	’s	PART
ejpam-5462	110	68	order	order	NOUN
ejpam-5462	110	69	and	and	CCONJ
ejpam-5462	110	70	the	the	DET
ejpam-5462	110	71	strength	strength	NOUN
ejpam-5462	110	72	of	of	ADP
ejpam-5462	110	73	the	the	DET
ejpam-5462	110	74	noise	noise	NOUN
ejpam-5462	110	75	.	.	PUNCT
ejpam-5462	111	1	3	3	X
ejpam-5462	111	2	.	.	X
ejpam-5462	111	3	a	a	DET
ejpam-5462	111	4	mathematical	mathematical	ADJ
ejpam-5462	111	5	model	model	NOUN
ejpam-5462	111	6	of	of	ADP
ejpam-5462	111	7	the	the	DET
ejpam-5462	111	8	financial	financial	ADJ
ejpam-5462	111	9	fractional	fractional	ADJ
ejpam-5462	111	10	system	system	NOUN
ejpam-5462	111	11	this	this	DET
ejpam-5462	111	12	section	section	NOUN
ejpam-5462	111	13	discusses	discuss	VERB
ejpam-5462	111	14	the	the	DET
ejpam-5462	111	15	hyperchaos	hyperchaos	NOUN
ejpam-5462	111	16	and	and	CCONJ
ejpam-5462	111	17	chaos	chaos	NOUN
ejpam-5462	111	18	of	of	ADP
ejpam-5462	111	19	a	a	DET
ejpam-5462	111	20	new	new	ADJ
ejpam-5462	111	21	fractional	fractional	ADJ
ejpam-5462	111	22	-	-	PUNCT
ejpam-5462	111	23	order	order	NOUN
ejpam-5462	111	24	system	system	NOUN
ejpam-5462	111	25	,	,	PUNCT
ejpam-5462	111	26	touching	touch	VERB
ejpam-5462	111	27	on	on	ADP
ejpam-5462	111	28	the	the	DET
ejpam-5462	111	29	effects	effect	NOUN
ejpam-5462	111	30	of	of	ADP
ejpam-5462	111	31	white	white	ADJ
ejpam-5462	111	32	noise	noise	NOUN
ejpam-5462	111	33	on	on	ADP
ejpam-5462	111	34	the	the	DET
ejpam-5462	111	35	predictability	predictability	NOUN
ejpam-5462	111	36	and	and	CCONJ
ejpam-5462	111	37	stability	stability	NOUN
ejpam-5462	111	38	of	of	ADP
ejpam-5462	111	39	constant	constant	ADJ
ejpam-5462	111	40	and	and	CCONJ
ejpam-5462	111	41	variable	variable	ADJ
ejpam-5462	111	42	-	-	PUNCT
ejpam-5462	111	43	order	order	NOUN
ejpam-5462	111	44	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	111	45	systems	system	NOUN
ejpam-5462	111	46	.	.	PUNCT
ejpam-5462	112	1	through	through	ADP
ejpam-5462	112	2	the	the	DET
ejpam-5462	112	3	use	use	NOUN
ejpam-5462	112	4	of	of	ADP
ejpam-5462	112	5	white	white	ADJ
ejpam-5462	112	6	-	-	PUNCT
ejpam-5462	112	7	noise	noise	NOUN
ejpam-5462	112	8	driven	drive	VERB
ejpam-5462	112	9	fractional	fractional	ADJ
ejpam-5462	112	10	differential	differential	NOUN
ejpam-5462	112	11	equation	equation	NOUN
ejpam-5462	112	12	models	model	NOUN
ejpam-5462	112	13	,	,	PUNCT
ejpam-5462	112	14	this	this	DET
ejpam-5462	112	15	study	study	NOUN
ejpam-5462	112	16	examines	examine	VERB
ejpam-5462	112	17	the	the	DET
ejpam-5462	112	18	financial	financial	NOUN
ejpam-5462	112	19	system[1	system[1	PROPN
ejpam-5462	112	20	]	]	NOUN
ejpam-5462	112	21	:	:	PUNCT
ejpam-5462	112	22	•	•	NUM
ejpam-5462	112	23	fractional	fractional	ADJ
ejpam-5462	112	24	constant	constant	ADJ
ejpam-5462	112	25	-	-	PUNCT
ejpam-5462	112	26	order	order	NOUN
ejpam-5462	112	27	the	the	DET
ejpam-5462	112	28	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	112	29	financial	financial	ADJ
ejpam-5462	112	30	system	system	NOUN
ejpam-5462	112	31	of	of	ADP
ejpam-5462	112	32	caputo	caputo	PROPN
ejpam-5462	112	33	with	with	ADP
ejpam-5462	112	34	σ	σ	PROPN
ejpam-5462	112	35	is	be	AUX
ejpam-5462	112	36	the	the	DET
ejpam-5462	112	37	intensity	intensity	NOUN
ejpam-5462	112	38	of	of	ADP
ejpam-5462	112	39	noise	noise	NOUN
ejpam-5462	112	40	;	;	PUNCT
ejpam-5462	112	41	w(t	w(t	PROPN
ejpam-5462	112	42	)	)	PUNCT
ejpam-5462	112	43	is	be	AUX
ejpam-5462	112	44	the	the	DET
ejpam-5462	112	45	white	white	ADJ
ejpam-5462	112	46	noise	noise	NOUN
ejpam-5462	112	47	(	(	PUNCT
ejpam-5462	112	48	gaussian	gaussian	NOUN
ejpam-5462	112	49	process).the	process).the	DET
ejpam-5462	112	50	interest	interest	NOUN
ejpam-5462	112	51	rate	rate	NOUN
ejpam-5462	112	52	x	x	INTJ
ejpam-5462	112	53	(	(	PUNCT
ejpam-5462	112	54	t	t	PROPN
ejpam-5462	112	55	)	)	PUNCT
ejpam-5462	112	56	.	.	PUNCT
ejpam-5462	113	1	the	the	DET
ejpam-5462	113	2	investment	investment	NOUN
ejpam-5462	113	3	demand	demand	NOUN
ejpam-5462	113	4	is	be	AUX
ejpam-5462	113	5	y(t	y(t	PROPN
ejpam-5462	113	6	)	)	PUNCT
ejpam-5462	113	7	.	.	PUNCT
ejpam-5462	114	1	the	the	DET
ejpam-5462	114	2	exponent	exponent	PROPN
ejpam-5462	114	3	z(t	z(t	PROPN
ejpam-5462	114	4	)	)	PUNCT
ejpam-5462	114	5	represents	represent	VERB
ejpam-5462	114	6	the	the	DET
ejpam-5462	114	7	price	price	NOUN
ejpam-5462	114	8	and	and	CCONJ
ejpam-5462	114	9	the	the	DET
ejpam-5462	114	10	rate	rate	NOUN
ejpam-5462	114	11	of	of	ADP
ejpam-5462	114	12	investment	investment	NOUN
ejpam-5462	114	13	.	.	PUNCT
ejpam-5462	115	1	c	c	NOUN
ejpam-5462	115	2	0	0	PUNCT
ejpam-5462	116	1	d	d	NOUN
ejpam-5462	116	2	β	β	X
ejpam-5462	116	3	t	t	PROPN
ejpam-5462	116	4	{	{	PUNCT
ejpam-5462	116	5	x	x	PROPN
ejpam-5462	116	6	(	(	PUNCT
ejpam-5462	116	7	t	t	NOUN
ejpam-5462	116	8	)	)	PUNCT
ejpam-5462	116	9	}	}	PUNCT
ejpam-5462	117	1	=	=	PUNCT
ejpam-5462	117	2	x	x	X
ejpam-5462	117	3	(	(	PUNCT
ejpam-5462	117	4	t)(y(t)−	t)(y(t)−	PROPN
ejpam-5462	117	5	a	a	X
ejpam-5462	117	6	)	)	PUNCT
ejpam-5462	117	7	+	+	NUM
ejpam-5462	117	8	z(t	z(t	NOUN
ejpam-5462	117	9	)	)	PUNCT
ejpam-5462	118	1	+	+	CCONJ
ejpam-5462	118	2	σxw	σxw	X
ejpam-5462	118	3	(	(	PUNCT
ejpam-5462	118	4	t	t	NOUN
ejpam-5462	118	5	)	)	PUNCT
ejpam-5462	118	6	,	,	PUNCT
ejpam-5462	118	7	c	c	NOUN
ejpam-5462	118	8	0	0	PUNCT
ejpam-5462	118	9	d	d	NOUN
ejpam-5462	118	10	β	β	X
ejpam-5462	118	11	t	t	PROPN
ejpam-5462	118	12	{	{	PUNCT
ejpam-5462	118	13	y(t	y(t	PROPN
ejpam-5462	118	14	)	)	PUNCT
ejpam-5462	118	15	}	}	PUNCT
ejpam-5462	118	16	=	=	SYM
ejpam-5462	118	17	1−	1−	NUM
ejpam-5462	118	18	(	(	PUNCT
ejpam-5462	118	19	bz(t	bz(t	NOUN
ejpam-5462	118	20	)	)	PUNCT
ejpam-5462	118	21	+	+	CCONJ
ejpam-5462	118	22	y2(t	y2(t	PROPN
ejpam-5462	118	23	)	)	PUNCT
ejpam-5462	118	24	)	)	PUNCT
ejpam-5462	119	1	+	+	CCONJ
ejpam-5462	119	2	σyw	σyw	NOUN
ejpam-5462	119	3	(	(	PUNCT
ejpam-5462	119	4	t	t	PROPN
ejpam-5462	119	5	)	)	PUNCT
ejpam-5462	119	6	,	,	PUNCT
ejpam-5462	119	7	c	c	NOUN
ejpam-5462	119	8	0	0	PUNCT
ejpam-5462	120	1	d	d	NOUN
ejpam-5462	120	2	β	β	X
ejpam-5462	120	3	t	t	PROPN
ejpam-5462	120	4	{	{	PUNCT
ejpam-5462	120	5	z(t	z(t	PROPN
ejpam-5462	120	6	)	)	PUNCT
ejpam-5462	120	7	}	}	PUNCT
ejpam-5462	120	8	=	=	SYM
ejpam-5462	120	9	−y(t)−	−y(t)−	PROPN
ejpam-5462	120	10	cz(t	cz(t	PUNCT
ejpam-5462	120	11	)	)	PUNCT
ejpam-5462	121	1	+	+	NUM
ejpam-5462	121	2	σzw	σzw	NOUN
ejpam-5462	121	3	(	(	PUNCT
ejpam-5462	121	4	t	t	NOUN
ejpam-5462	121	5	)	)	PUNCT
ejpam-5462	121	6	.	.	PUNCT
ejpam-5462	122	1	(	(	PUNCT
ejpam-5462	122	2	6	6	NUM
ejpam-5462	122	3	)	)	PUNCT
ejpam-5462	122	4	where	where	SCONJ
ejpam-5462	122	5	a	a	DET
ejpam-5462	122	6	≥	≥	NOUN
ejpam-5462	122	7	0	0	NUM
ejpam-5462	122	8	is	be	AUX
ejpam-5462	122	9	the	the	DET
ejpam-5462	122	10	saving	saving	NOUN
ejpam-5462	122	11	amount	amount	NOUN
ejpam-5462	122	12	,	,	PUNCT
ejpam-5462	122	13	b	b	X
ejpam-5462	122	14	≥	≥	X
ejpam-5462	122	15	0	0	NUM
ejpam-5462	122	16	is	be	AUX
ejpam-5462	122	17	the	the	DET
ejpam-5462	122	18	cost	cost	NOUN
ejpam-5462	122	19	per	per	ADP
ejpam-5462	122	20	investment	investment	NOUN
ejpam-5462	122	21	,	,	PUNCT
ejpam-5462	122	22	and	and	CCONJ
ejpam-5462	122	23	c	c	X
ejpam-5462	122	24	≥	≥	X
ejpam-5462	122	25	0	0	NUM
ejpam-5462	122	26	is	be	AUX
ejpam-5462	122	27	the	the	DET
ejpam-5462	122	28	elasticity	elasticity	NOUN
ejpam-5462	122	29	of	of	ADP
ejpam-5462	122	30	demand	demand	NOUN
ejpam-5462	122	31	of	of	ADP
ejpam-5462	122	32	commercial	commercial	ADJ
ejpam-5462	122	33	market	market	NOUN
ejpam-5462	122	34	.	.	PUNCT
ejpam-5462	123	1	•	•	NUM
ejpam-5462	123	2	fractional	fractional	ADJ
ejpam-5462	123	3	variable	variable	NOUN
ejpam-5462	123	4	-	-	PUNCT
ejpam-5462	123	5	order	order	NOUN
ejpam-5462	123	6	the	the	DET
ejpam-5462	123	7	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	123	8	financial	financial	ADJ
ejpam-5462	123	9	system	system	NOUN
ejpam-5462	123	10	of	of	ADP
ejpam-5462	123	11	caputo	caputo	PROPN
ejpam-5462	123	12	v	v	PROPN
ejpam-5462	123	13	o	o	PROPN
ejpam-5462	123	14	0	0	PUNCT
ejpam-5462	124	1	d	d	PROPN
ejpam-5462	124	2	β(t	β(t	PROPN
ejpam-5462	124	3	)	)	PUNCT
ejpam-5462	124	4	t	t	NOUN
ejpam-5462	124	5	{	{	PUNCT
ejpam-5462	124	6	x	x	PROPN
ejpam-5462	124	7	(	(	PUNCT
ejpam-5462	124	8	t	t	NOUN
ejpam-5462	124	9	)	)	PUNCT
ejpam-5462	124	10	}	}	PUNCT
ejpam-5462	125	1	=	=	PUNCT
ejpam-5462	125	2	x	x	X
ejpam-5462	125	3	(	(	PUNCT
ejpam-5462	125	4	t)(y(t)−	t)(y(t)−	PROPN
ejpam-5462	125	5	a	a	X
ejpam-5462	125	6	)	)	PUNCT
ejpam-5462	125	7	+	+	NUM
ejpam-5462	125	8	z(t	z(t	NOUN
ejpam-5462	125	9	)	)	PUNCT
ejpam-5462	126	1	+	+	CCONJ
ejpam-5462	126	2	σxw	σxw	X
ejpam-5462	126	3	(	(	PUNCT
ejpam-5462	126	4	t	t	NOUN
ejpam-5462	126	5	)	)	PUNCT
ejpam-5462	126	6	,	,	PUNCT
ejpam-5462	126	7	v	v	ADP
ejpam-5462	126	8	o	o	NOUN
ejpam-5462	126	9	0	0	PUNCT
ejpam-5462	127	1	d	d	PROPN
ejpam-5462	127	2	β(t	β(t	PROPN
ejpam-5462	127	3	)	)	PUNCT
ejpam-5462	127	4	t	t	PROPN
ejpam-5462	127	5	{	{	PUNCT
ejpam-5462	127	6	y(t	y(t	NOUN
ejpam-5462	127	7	)	)	PUNCT
ejpam-5462	127	8	}	}	PUNCT
ejpam-5462	128	1	=	=	SYM
ejpam-5462	128	2	1−	1−	NUM
ejpam-5462	128	3	(	(	PUNCT
ejpam-5462	128	4	bz(t	bz(t	NOUN
ejpam-5462	128	5	)	)	PUNCT
ejpam-5462	128	6	+	+	CCONJ
ejpam-5462	128	7	y2(t	y2(t	PROPN
ejpam-5462	128	8	)	)	PUNCT
ejpam-5462	128	9	)	)	PUNCT
ejpam-5462	129	1	+	+	CCONJ
ejpam-5462	129	2	σyw	σyw	NOUN
ejpam-5462	129	3	(	(	PUNCT
ejpam-5462	129	4	t	t	PROPN
ejpam-5462	129	5	)	)	PUNCT
ejpam-5462	129	6	,	,	PUNCT
ejpam-5462	129	7	v	v	ADP
ejpam-5462	129	8	o	o	NOUN
ejpam-5462	129	9	0	0	PUNCT
ejpam-5462	130	1	d	d	PROPN
ejpam-5462	130	2	β(t	β(t	PROPN
ejpam-5462	130	3	)	)	PUNCT
ejpam-5462	130	4	t	t	PROPN
ejpam-5462	130	5	{	{	PUNCT
ejpam-5462	130	6	z(t	z(t	PROPN
ejpam-5462	130	7	)	)	PUNCT
ejpam-5462	130	8	}	}	PUNCT
ejpam-5462	130	9	=	=	SYM
ejpam-5462	130	10	−y(t)−	−y(t)−	PROPN
ejpam-5462	130	11	cz(t	cz(t	PUNCT
ejpam-5462	130	12	)	)	PUNCT
ejpam-5462	131	1	+	+	NUM
ejpam-5462	131	2	σzw	σzw	NOUN
ejpam-5462	131	3	(	(	PUNCT
ejpam-5462	131	4	t	t	NOUN
ejpam-5462	131	5	)	)	PUNCT
ejpam-5462	131	6	.	.	PUNCT
ejpam-5462	132	1	(	(	PUNCT
ejpam-5462	132	2	7	7	X
ejpam-5462	132	3	)	)	PUNCT
ejpam-5462	132	4	4	4	NUM
ejpam-5462	132	5	.	.	PUNCT
ejpam-5462	133	1	a	a	DET
ejpam-5462	133	2	novel	novel	ADJ
ejpam-5462	133	3	numerical	numerical	ADJ
ejpam-5462	133	4	method	method	NOUN
ejpam-5462	133	5	for	for	ADP
ejpam-5462	133	6	stochastic	stochastic	ADJ
ejpam-5462	133	7	fractional	fractional	ADJ
ejpam-5462	133	8	financial	financial	ADJ
ejpam-5462	133	9	systems	system	NOUN
ejpam-5462	133	10	using	use	VERB
ejpam-5462	133	11	the	the	DET
ejpam-5462	133	12	starting	start	VERB
ejpam-5462	133	13	values	value	NOUN
ejpam-5462	133	14	of	of	ADP
ejpam-5462	133	15	the	the	DET
ejpam-5462	133	16	variables	variable	NOUN
ejpam-5462	133	17	that	that	PRON
ejpam-5462	133	18	we	we	PRON
ejpam-5462	133	19	will	will	AUX
ejpam-5462	133	20	use	use	VERB
ejpam-5462	133	21	to	to	PART
ejpam-5462	133	22	derive	derive	VERB
ejpam-5462	133	23	the	the	DET
ejpam-5462	133	24	phase	phase	NOUN
ejpam-5462	133	25	portraits	portrait	NOUN
ejpam-5462	133	26	of	of	ADP
ejpam-5462	133	27	the	the	DET
ejpam-5462	133	28	fractional	fractional	ADJ
ejpam-5462	133	29	-	-	PUNCT
ejpam-5462	133	30	order	order	NOUN
ejpam-5462	133	31	chaotic	chaotic	ADJ
ejpam-5462	133	32	system	system	NOUN
ejpam-5462	133	33	(	(	PUNCT
ejpam-5462	133	34	4)–(5	4)–(5	NOUN
ejpam-5462	133	35	)	)	PUNCT
ejpam-5462	133	36	,	,	PUNCT
ejpam-5462	133	37	this	this	DET
ejpam-5462	133	38	section	section	NOUN
ejpam-5462	133	39	outlines	outline	VERB
ejpam-5462	133	40	the	the	DET
ejpam-5462	133	41	numerical	numerical	ADJ
ejpam-5462	133	42	scheme	scheme	NOUN
ejpam-5462	133	43	for	for	ADP
ejpam-5462	133	44	m.	m.	NOUN
ejpam-5462	133	45	berir	berir	NOUN
ejpam-5462	133	46	/	/	SYM
ejpam-5462	133	47	eur	eur	PROPN
ejpam-5462	133	48	.	.	PUNCT
ejpam-5462	134	1	j.	j.	PROPN
ejpam-5462	134	2	pure	pure	PROPN
ejpam-5462	134	3	appl	appl	PROPN
ejpam-5462	134	4	.	.	PROPN
ejpam-5462	134	5	math	math	PROPN
ejpam-5462	134	6	,	,	PUNCT
ejpam-5462	134	7	17	17	NUM
ejpam-5462	134	8	(	(	PUNCT
ejpam-5462	134	9	4	4	NUM
ejpam-5462	134	10	)	)	PUNCT
ejpam-5462	134	11	(	(	PUNCT
ejpam-5462	134	12	2024	2024	NUM
ejpam-5462	134	13	)	)	PUNCT
ejpam-5462	134	14	,	,	PUNCT
ejpam-5462	134	15	3915	3915	NUM
ejpam-5462	134	16	-	-	SYM
ejpam-5462	134	17	3931	3931	NUM
ejpam-5462	134	18	3920	3920	NUM
ejpam-5462	134	19	the	the	DET
ejpam-5462	134	20	numerical	numerical	ADJ
ejpam-5462	134	21	solution	solution	NOUN
ejpam-5462	134	22	of	of	ADP
ejpam-5462	134	23	model	model	NOUN
ejpam-5462	134	24	.	.	PUNCT
ejpam-5462	135	1	we	we	PRON
ejpam-5462	135	2	attempt	attempt	VERB
ejpam-5462	135	3	to	to	PART
ejpam-5462	135	4	apply	apply	VERB
ejpam-5462	135	5	the	the	DET
ejpam-5462	135	6	standard	standard	ADJ
ejpam-5462	135	7	discretizations	discretization	NOUN
ejpam-5462	135	8	found	find	VERB
ejpam-5462	135	9	in	in	ADP
ejpam-5462	135	10	the	the	DET
ejpam-5462	135	11	literature	literature	NOUN
ejpam-5462	135	12	to	to	ADP
ejpam-5462	135	13	our	our	PRON
ejpam-5462	135	14	model	model	NOUN
ejpam-5462	135	15	.	.	PUNCT
ejpam-5462	136	1	numerous	numerous	ADJ
ejpam-5462	136	2	numerical	numerical	ADJ
ejpam-5462	136	3	schemes	scheme	NOUN
ejpam-5462	136	4	and	and	CCONJ
ejpam-5462	136	5	analytical	analytical	ADJ
ejpam-5462	136	6	techniques	technique	NOUN
ejpam-5462	136	7	,	,	PUNCT
ejpam-5462	136	8	including	include	VERB
ejpam-5462	136	9	the	the	DET
ejpam-5462	136	10	chebyshev	chebyshev	NOUN
ejpam-5462	136	11	method	method	NOUN
ejpam-5462	136	12	,	,	PUNCT
ejpam-5462	136	13	the	the	DET
ejpam-5462	136	14	domain	domain	NOUN
ejpam-5462	136	15	decomposition	decomposition	NOUN
ejpam-5462	136	16	method	method	NOUN
ejpam-5462	136	17	,	,	PUNCT
ejpam-5462	136	18	and	and	CCONJ
ejpam-5462	136	19	the	the	DET
ejpam-5462	136	20	homotopy	homotopy	NOUN
ejpam-5462	136	21	methods	method	NOUN
ejpam-5462	136	22	,	,	PUNCT
ejpam-5462	136	23	can	can	AUX
ejpam-5462	136	24	be	be	AUX
ejpam-5462	136	25	applied	apply	VERB
ejpam-5462	136	26	in	in	ADP
ejpam-5462	136	27	fractional	fractional	ADJ
ejpam-5462	136	28	calculus	calculus	NOUN
ejpam-5462	136	29	.	.	PUNCT
ejpam-5462	137	1	however	however	ADV
ejpam-5462	137	2	,	,	PUNCT
ejpam-5462	137	3	because	because	SCONJ
ejpam-5462	137	4	of	of	ADP
ejpam-5462	137	5	the	the	DET
ejpam-5462	137	6	difficulties	difficulty	NOUN
ejpam-5462	137	7	with	with	ADP
ejpam-5462	137	8	the	the	DET
ejpam-5462	137	9	stability	stability	NOUN
ejpam-5462	137	10	and	and	CCONJ
ejpam-5462	137	11	convergences	convergence	NOUN
ejpam-5462	137	12	of	of	ADP
ejpam-5462	137	13	the	the	DET
ejpam-5462	137	14	approximate	approximate	ADJ
ejpam-5462	137	15	solutions	solution	NOUN
ejpam-5462	137	16	,	,	PUNCT
ejpam-5462	137	17	many	many	ADJ
ejpam-5462	137	18	of	of	ADP
ejpam-5462	137	19	the	the	DET
ejpam-5462	137	20	drawbacks	drawback	NOUN
ejpam-5462	137	21	of	of	ADP
ejpam-5462	137	22	the	the	DET
ejpam-5462	137	23	approaches	approach	NOUN
ejpam-5462	137	24	mentioned	mention	VERB
ejpam-5462	137	25	have	have	VERB
ejpam-5462	137	26	yet	yet	ADV
ejpam-5462	137	27	to	to	PART
ejpam-5462	137	28	be	be	AUX
ejpam-5462	137	29	resolved	resolve	VERB
ejpam-5462	137	30	.	.	PUNCT
ejpam-5462	138	1	matlab	matlab	PROPN
ejpam-5462	138	2	codes	code	NOUN
ejpam-5462	138	3	,	,	PUNCT
ejpam-5462	138	4	which	which	PRON
ejpam-5462	138	5	are	be	AUX
ejpam-5462	138	6	essential	essential	ADJ
ejpam-5462	138	7	in	in	ADP
ejpam-5462	138	8	chaotic	chaotic	ADJ
ejpam-5462	138	9	and	and	CCONJ
ejpam-5462	138	10	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	138	11	systems	system	NOUN
ejpam-5462	138	12	,	,	PUNCT
ejpam-5462	138	13	are	be	AUX
ejpam-5462	138	14	one	one	NUM
ejpam-5462	138	15	benefit	benefit	NOUN
ejpam-5462	138	16	of	of	ADP
ejpam-5462	138	17	using	use	VERB
ejpam-5462	138	18	the	the	DET
ejpam-5462	138	19	predictor	predictor	NOUN
ejpam-5462	138	20	-	-	PUNCT
ejpam-5462	138	21	corrector	corrector	NOUN
ejpam-5462	138	22	approach	approach	NOUN
ejpam-5462	138	23	in	in	ADP
ejpam-5462	138	24	our	our	PRON
ejpam-5462	138	25	system	system	NOUN
ejpam-5462	138	26	.	.	PUNCT
ejpam-5462	139	1	the	the	DET
ejpam-5462	139	2	solution	solution	NOUN
ejpam-5462	139	3	of	of	ADP
ejpam-5462	139	4	the	the	DET
ejpam-5462	139	5	fractional	fractional	ADJ
ejpam-5462	139	6	differential	differential	NOUN
ejpam-5462	139	7	system	system	NOUN
ejpam-5462	139	8	(	(	PUNCT
ejpam-5462	139	9	4)–(5	4)–(5	NOUN
ejpam-5462	139	10	)	)	PUNCT
ejpam-5462	139	11	can	can	AUX
ejpam-5462	139	12	be	be	AUX
ejpam-5462	139	13	described	describe	VERB
ejpam-5462	139	14	as	as	SCONJ
ejpam-5462	139	15	follows	follow	VERB
ejpam-5462	139	16	in	in	ADP
ejpam-5462	139	17	the	the	DET
ejpam-5462	139	18	remaining	remain	VERB
ejpam-5462	139	19	portion	portion	NOUN
ejpam-5462	139	20	of	of	ADP
ejpam-5462	139	21	this	this	DET
ejpam-5462	139	22	section	section	NOUN
ejpam-5462	139	23	our	our	PRON
ejpam-5462	139	24	study	study	NOUN
ejpam-5462	139	25	presents	present	VERB
ejpam-5462	139	26	a	a	DET
ejpam-5462	139	27	new	new	ADJ
ejpam-5462	139	28	numerical	numerical	ADJ
ejpam-5462	139	29	technique	technique	NOUN
ejpam-5462	139	30	for	for	ADP
ejpam-5462	139	31	modeling	model	VERB
ejpam-5462	139	32	fractional	fractional	ADJ
ejpam-5462	139	33	differential	differential	NOUN
ejpam-5462	139	34	operators	operator	NOUN
ejpam-5462	139	35	of	of	ADP
ejpam-5462	139	36	both	both	CCONJ
ejpam-5462	139	37	constant	constant	ADJ
ejpam-5462	139	38	and	and	CCONJ
ejpam-5462	139	39	variable	variable	ADJ
ejpam-5462	139	40	order	order	NOUN
ejpam-5462	139	41	utilizing	utilize	VERB
ejpam-5462	139	42	stochastic	stochastic	ADJ
ejpam-5462	139	43	processes	process	NOUN
ejpam-5462	139	44	.	.	PUNCT
ejpam-5462	140	1	4.1	4.1	NUM
ejpam-5462	140	2	.	.	PUNCT
ejpam-5462	141	1	a	a	DET
ejpam-5462	141	2	numerical	numerical	ADJ
ejpam-5462	141	3	scheme	scheme	NOUN
ejpam-5462	141	4	for	for	ADP
ejpam-5462	141	5	constant	constant	ADJ
ejpam-5462	141	6	-	-	PUNCT
ejpam-5462	141	7	order	order	NOUN
ejpam-5462	141	8	fractional	fractional	ADJ
ejpam-5462	141	9	financial	financial	ADJ
ejpam-5462	141	10	system	system	NOUN
ejpam-5462	141	11	.	.	PUNCT
ejpam-5462	142	1	this	this	DET
ejpam-5462	142	2	study	study	NOUN
ejpam-5462	142	3	presents	present	VERB
ejpam-5462	142	4	a	a	DET
ejpam-5462	142	5	numerical	numerical	ADJ
ejpam-5462	142	6	method	method	NOUN
ejpam-5462	142	7	for	for	ADP
ejpam-5462	142	8	a	a	DET
ejpam-5462	142	9	fractional	fractional	ADJ
ejpam-5462	142	10	financial	financial	ADJ
ejpam-5462	142	11	system	system	NOUN
ejpam-5462	142	12	that	that	PRON
ejpam-5462	142	13	integrates	integrate	VERB
ejpam-5462	142	14	a	a	DET
ejpam-5462	142	15	stochastic	stochastic	ADJ
ejpam-5462	142	16	caputo	caputo	PROPN
ejpam-5462	142	17	fractional	fractional	PROPN
ejpam-5462	142	18	derivative	derivative	NOUN
ejpam-5462	142	19	with	with	ADP
ejpam-5462	142	20	a	a	DET
ejpam-5462	142	21	constant	constant	ADJ
ejpam-5462	142	22	-	-	PUNCT
ejpam-5462	142	23	order	order	NOUN
ejpam-5462	142	24	fractional	fractional	NOUN
ejpam-5462	142	25	.	.	PUNCT
ejpam-5462	143	1	cdα	cdα	PROPN
ejpam-5462	143	2	a+s(t	a+s(t	NOUN
ejpam-5462	143	3	)	)	PUNCT
ejpam-5462	144	1	=	=	PUNCT
ejpam-5462	144	2	ψ1(t	ψ1(t	PROPN
ejpam-5462	144	3	,	,	PUNCT
ejpam-5462	144	4	s(t	s(t	PROPN
ejpam-5462	144	5	)	)	PUNCT
ejpam-5462	144	6	)	)	PUNCT
ejpam-5462	145	1	+	+	CCONJ
ejpam-5462	145	2	σy(t)db(t	σy(t)db(t	X
ejpam-5462	145	3	)	)	PUNCT
ejpam-5462	145	4	(	(	PUNCT
ejpam-5462	145	5	8)	8)	NUM
ejpam-5462	145	6	s(t	s(t	NUM
ejpam-5462	145	7	)	)	PUNCT
ejpam-5462	145	8	=	=	SYM
ejpam-5462	145	9	s(0	s(0	PROPN
ejpam-5462	145	10	)	)	PUNCT
ejpam-5462	145	11	+	+	CCONJ
ejpam-5462	145	12	1	1	NUM
ejpam-5462	145	13	γ(β	γ(β	NUM
ejpam-5462	145	14	)	)	PUNCT
ejpam-5462	145	15	∫	∫	PROPN
ejpam-5462	145	16	t	t	PROPN
ejpam-5462	145	17	0	0	NUM
ejpam-5462	146	1	(	(	PUNCT
ejpam-5462	146	2	t−	t−	PROPN
ejpam-5462	146	3	w)β−1ψ1(s	w)β−1ψ1(s	NOUN
ejpam-5462	146	4	,	,	PUNCT
ejpam-5462	146	5	w	w	NOUN
ejpam-5462	146	6	)	)	PUNCT
ejpam-5462	146	7	dw	dw	NOUN
ejpam-5462	147	1	+	+	CCONJ
ejpam-5462	147	2	∫	∫	PROPN
ejpam-5462	147	3	t	t	PROPN
ejpam-5462	147	4	0	0	NUM
ejpam-5462	147	5	σy(t)db(t	σy(t)db(t	NOUN
ejpam-5462	147	6	)	)	PUNCT
ejpam-5462	147	7	(	(	PUNCT
ejpam-5462	147	8	9	9	NUM
ejpam-5462	147	9	)	)	PUNCT
ejpam-5462	147	10	at	at	ADP
ejpam-5462	147	11	time	time	NOUN
ejpam-5462	147	12	t	t	PROPN
ejpam-5462	147	13	=	=	SYM
ejpam-5462	147	14	tn+1	tn+1	PROPN
ejpam-5462	147	15	,	,	PUNCT
ejpam-5462	147	16	equation	equation	NOUN
ejpam-5462	147	17	9	9	NUM
ejpam-5462	147	18	is	be	AUX
ejpam-5462	147	19	as	as	SCONJ
ejpam-5462	147	20	follows	follow	VERB
ejpam-5462	147	21	:	:	PUNCT
ejpam-5462	147	22	s(tn+1	s(tn+1	X
ejpam-5462	147	23	)	)	PUNCT
ejpam-5462	147	24	=	=	SYM
ejpam-5462	148	1	s(0	s(0	PROPN
ejpam-5462	148	2	)	)	PUNCT
ejpam-5462	148	3	+	+	CCONJ
ejpam-5462	148	4	1	1	NUM
ejpam-5462	148	5	γ(β	γ(β	PROPN
ejpam-5462	148	6	)	)	PUNCT
ejpam-5462	148	7	∫	∫	PROPN
ejpam-5462	148	8	tn+1	tn+1	NOUN
ejpam-5462	148	9	0	0	PUNCT
ejpam-5462	149	1	(	(	PUNCT
ejpam-5462	149	2	t−	t−	PROPN
ejpam-5462	149	3	w)β−1ψ1(s	w)β−1ψ1(s	PROPN
ejpam-5462	149	4	,	,	PUNCT
ejpam-5462	149	5	w	w	NOUN
ejpam-5462	149	6	)	)	PUNCT
ejpam-5462	149	7	dw	dw	NOUN
ejpam-5462	150	1	+	+	CCONJ
ejpam-5462	150	2	∫	∫	PROPN
ejpam-5462	150	3	tn+1	tn+1	NOUN
ejpam-5462	150	4	0	0	NUM
ejpam-5462	150	5	σy(t)db(t	σy(t)db(t	NOUN
ejpam-5462	150	6	)	)	PUNCT
ejpam-5462	150	7	(	(	PUNCT
ejpam-5462	150	8	10	10	NUM
ejpam-5462	150	9	)	)	PUNCT
ejpam-5462	150	10	at	at	ADP
ejpam-5462	150	11	time	time	NOUN
ejpam-5462	150	12	t	t	PROPN
ejpam-5462	150	13	=	=	SYM
ejpam-5462	150	14	tn	tn	PROPN
ejpam-5462	150	15	sn	sn	NOUN
ejpam-5462	150	16	=	=	PUNCT
ejpam-5462	150	17	s(tn	s(tn	X
ejpam-5462	150	18	)	)	PUNCT
ejpam-5462	150	19	=	=	SYM
ejpam-5462	150	20	s(0	s(0	PROPN
ejpam-5462	150	21	)	)	PUNCT
ejpam-5462	150	22	+	+	CCONJ
ejpam-5462	150	23	1	1	NUM
ejpam-5462	150	24	γ(β	γ(β	PROPN
ejpam-5462	150	25	)	)	PUNCT
ejpam-5462	150	26	∫	∫	PROPN
ejpam-5462	151	1	tn	tn	PROPN
ejpam-5462	151	2	0	0	NUM
ejpam-5462	151	3	(	(	PUNCT
ejpam-5462	151	4	t−	t−	PROPN
ejpam-5462	151	5	w)β−1ψ1(s	w)β−1ψ1(s	PROPN
ejpam-5462	151	6	,	,	PUNCT
ejpam-5462	151	7	w	w	NOUN
ejpam-5462	151	8	)	)	PUNCT
ejpam-5462	151	9	dw	dw	NOUN
ejpam-5462	152	1	+	+	CCONJ
ejpam-5462	152	2	∫	∫	PROPN
ejpam-5462	152	3	tn	tn	PROPN
ejpam-5462	152	4	0	0	NUM
ejpam-5462	152	5	σy(t)db(t	σy(t)db(t	NOUN
ejpam-5462	152	6	)	)	PUNCT
ejpam-5462	152	7	(	(	PUNCT
ejpam-5462	152	8	11	11	NUM
ejpam-5462	152	9	)	)	PUNCT
ejpam-5462	152	10	s(tn+1)−	s(tn+1)−	NOUN
ejpam-5462	153	1	s(tn	s(tn	NOUN
ejpam-5462	153	2	)	)	PUNCT
ejpam-5462	153	3	=	=	SYM
ejpam-5462	153	4	1	1	NUM
ejpam-5462	153	5	γ(α	γ(α	NOUN
ejpam-5462	153	6	)	)	PUNCT
ejpam-5462	154	1	[	[	X
ejpam-5462	154	2	∫	∫	X
ejpam-5462	154	3	tn+1	tn+1	NOUN
ejpam-5462	154	4	0	0	NUM
ejpam-5462	154	5	(	(	PUNCT
ejpam-5462	154	6	tn+1	tn+1	NOUN
ejpam-5462	154	7	−	−	NOUN
ejpam-5462	154	8	w)α−1g(s	w)α−1g(s	NOUN
ejpam-5462	154	9	,	,	PUNCT
ejpam-5462	154	10	w	w	NOUN
ejpam-5462	154	11	)	)	PUNCT
ejpam-5462	154	12	dw	dw	NOUN
ejpam-5462	154	13	−	−	PROPN
ejpam-5462	154	14	∫	∫	PROPN
ejpam-5462	154	15	tn	tn	PROPN
ejpam-5462	154	16	0	0	NUM
ejpam-5462	154	17	(	(	PUNCT
ejpam-5462	154	18	tn	tn	NOUN
ejpam-5462	154	19	−	−	PROPN
ejpam-5462	154	20	w)α−1g(s	w)α−1g(s	NOUN
ejpam-5462	154	21	,	,	PUNCT
ejpam-5462	154	22	w	w	NOUN
ejpam-5462	154	23	)	)	PUNCT
ejpam-5462	154	24	dw	dw	NOUN
ejpam-5462	154	25	]	]	PUNCT
ejpam-5462	154	26	.	.	PUNCT
ejpam-5462	155	1	(	(	PUNCT
ejpam-5462	155	2	12	12	NUM
ejpam-5462	155	3	)	)	PUNCT
ejpam-5462	155	4	numerical	numerical	ADJ
ejpam-5462	155	5	solution	solution	NOUN
ejpam-5462	155	6	of	of	ADP
ejpam-5462	155	7	equation	equation	NOUN
ejpam-5462	155	8	(	(	PUNCT
ejpam-5462	155	9	10	10	NUM
ejpam-5462	155	10	)	)	PUNCT
ejpam-5462	155	11	obtained	obtain	VERB
ejpam-5462	155	12	via	via	ADP
ejpam-5462	155	13	lagrange	lagrange	PROPN
ejpam-5462	155	14	polynomial	polynomial	ADJ
ejpam-5462	155	15	interpolation	interpolation	NOUN
ejpam-5462	155	16	is	be	AUX
ejpam-5462	155	17	as	as	SCONJ
ejpam-5462	155	18	follows	follow	VERB
ejpam-5462	155	19	:	:	PUNCT
ejpam-5462	155	20	sn+1	sn+1	X
ejpam-5462	155	21	=	=	SYM
ejpam-5462	155	22	s0	s0	NOUN
ejpam-5462	155	23	+	+	CCONJ
ejpam-5462	155	24	βhβ	βhβ	PROPN
ejpam-5462	155	25	γ(β	γ(β	PROPN
ejpam-5462	155	26	+	+	CCONJ
ejpam-5462	155	27	2	2	X
ejpam-5462	155	28	)	)	PUNCT
ejpam-5462	155	29	r∑	r∑	NOUN
ejpam-5462	155	30	m=0	m=0	PROPN
ejpam-5462	155	31	ψ1(tm	ψ1(tm	PROPN
ejpam-5462	155	32	,	,	PUNCT
ejpam-5462	155	33	sm	sm	PROPN
ejpam-5462	155	34	)	)	PUNCT
ejpam-5462	155	35	[	[	PUNCT
ejpam-5462	155	36	(	(	PUNCT
ejpam-5462	155	37	n−m+	n−m+	PROPN
ejpam-5462	155	38	1)β(n−m+	1)β(n−m+	NUM
ejpam-5462	155	39	2	2	NUM
ejpam-5462	155	40	+	+	NUM
ejpam-5462	155	41	2β)−	2β)−	NUM
ejpam-5462	155	42	(	(	PUNCT
ejpam-5462	155	43	n−m)β(n−m+	n−m)β(n−m+	PROPN
ejpam-5462	155	44	2	2	NUM
ejpam-5462	155	45	+	+	NUM
ejpam-5462	155	46	2β	2β	NUM
ejpam-5462	155	47	)	)	PUNCT
ejpam-5462	155	48	]	]	PUNCT
ejpam-5462	156	1	−	−	PROPN
ejpam-5462	156	2	hβ	hβ	INTJ
ejpam-5462	156	3	γ(β	γ(β	PROPN
ejpam-5462	156	4	+	+	CCONJ
ejpam-5462	156	5	2	2	X
ejpam-5462	156	6	)	)	PUNCT
ejpam-5462	156	7	r∑	r∑	NOUN
ejpam-5462	156	8	m=0	m=0	PROPN
ejpam-5462	156	9	ψ1(tm−1,sm−1	ψ1(tm−1,sm−1	PROPN
ejpam-5462	156	10	)	)	PUNCT
ejpam-5462	156	11	[	[	PUNCT
ejpam-5462	156	12	(	(	PUNCT
ejpam-5462	156	13	n−m+	n−m+	PROPN
ejpam-5462	156	14	1)β+1	1)β+1	NUM
ejpam-5462	156	15	−	−	PROPN
ejpam-5462	156	16	(	(	PUNCT
ejpam-5462	156	17	n−m)β(n−m+	n−m)β(n−m+	PROPN
ejpam-5462	156	18	1	1	NUM
ejpam-5462	156	19	+	+	SYM
ejpam-5462	156	20	β	β	NOUN
ejpam-5462	156	21	)	)	PUNCT
ejpam-5462	156	22	]	]	PUNCT
ejpam-5462	157	1	+	+	PUNCT
ejpam-5462	157	2	ασy(t)(cn)(b(tn+1)−b(tn	ασy(t)(cn)(b(tn+1)−b(tn	NOUN
ejpam-5462	157	3	)	)	PUNCT
ejpam-5462	157	4	)	)	PUNCT
ejpam-5462	157	5	.	.	PUNCT
ejpam-5462	158	1	(	(	PUNCT
ejpam-5462	158	2	13	13	NUM
ejpam-5462	158	3	)	)	PUNCT
ejpam-5462	158	4	m.	m.	NOUN
ejpam-5462	158	5	berir	berir	NOUN
ejpam-5462	158	6	/	/	SYM
ejpam-5462	158	7	eur	eur	PROPN
ejpam-5462	158	8	.	.	PUNCT
ejpam-5462	159	1	j.	j.	PROPN
ejpam-5462	159	2	pure	pure	PROPN
ejpam-5462	159	3	appl	appl	PROPN
ejpam-5462	159	4	.	.	PROPN
ejpam-5462	159	5	math	math	PROPN
ejpam-5462	159	6	,	,	PUNCT
ejpam-5462	159	7	17	17	NUM
ejpam-5462	159	8	(	(	PUNCT
ejpam-5462	159	9	4	4	NUM
ejpam-5462	159	10	)	)	PUNCT
ejpam-5462	159	11	(	(	PUNCT
ejpam-5462	159	12	2024	2024	NUM
ejpam-5462	159	13	)	)	PUNCT
ejpam-5462	159	14	,	,	PUNCT
ejpam-5462	159	15	3915	3915	NUM
ejpam-5462	159	16	-	-	SYM
ejpam-5462	159	17	3931	3931	NUM
ejpam-5462	159	18	3921	3921	NUM
ejpam-5462	159	19	we	we	PRON
ejpam-5462	159	20	therefore	therefore	ADV
ejpam-5462	159	21	present	present	VERB
ejpam-5462	159	22	the	the	DET
ejpam-5462	159	23	numerical	numerical	ADJ
ejpam-5462	159	24	solution	solution	NOUN
ejpam-5462	159	25	that	that	PRON
ejpam-5462	159	26	we	we	PRON
ejpam-5462	159	27	have	have	AUX
ejpam-5462	159	28	developed	develop	VERB
ejpam-5462	159	29	for	for	ADP
ejpam-5462	159	30	the	the	DET
ejpam-5462	159	31	constant	constant	ADJ
ejpam-5462	159	32	-	-	PUNCT
ejpam-5462	159	33	order	order	NOUN
ejpam-5462	159	34	fractional(hs	fractional(hs	NOUN
ejpam-5462	159	35	)	)	PUNCT
ejpam-5462	159	36	,	,	PUNCT
ejpam-5462	159	37	which	which	PRON
ejpam-5462	159	38	is	be	AUX
ejpam-5462	159	39	as	as	SCONJ
ejpam-5462	159	40	follows	follow	VERB
ejpam-5462	159	41	:	:	PUNCT
ejpam-5462	159	42	xn+1	xn+1	NUM
ejpam-5462	159	43	=	=	SYM
ejpam-5462	160	1	x0	x0	PROPN
ejpam-5462	160	2	+	+	CCONJ
ejpam-5462	160	3	βhβ	βhβ	X
ejpam-5462	160	4	γ(β	γ(β	PROPN
ejpam-5462	160	5	+	+	CCONJ
ejpam-5462	160	6	2	2	X
ejpam-5462	160	7	)	)	PUNCT
ejpam-5462	160	8	r∑	r∑	NOUN
ejpam-5462	160	9	m=0	m=0	PROPN
ejpam-5462	160	10	ψ1(tm	ψ1(tm	PROPN
ejpam-5462	160	11	,	,	PUNCT
ejpam-5462	160	12	xm	xm	PROPN
ejpam-5462	160	13	)	)	PUNCT
ejpam-5462	160	14	[	[	PUNCT
ejpam-5462	160	15	(	(	PUNCT
ejpam-5462	160	16	n−m+	n−m+	PROPN
ejpam-5462	160	17	1)β(n−m+	1)β(n−m+	NUM
ejpam-5462	160	18	2	2	NUM
ejpam-5462	160	19	+	+	NUM
ejpam-5462	160	20	2β)−	2β)−	NUM
ejpam-5462	160	21	(	(	PUNCT
ejpam-5462	160	22	n−m)β(n−m+	n−m)β(n−m+	PROPN
ejpam-5462	160	23	2	2	NUM
ejpam-5462	160	24	+	+	NUM
ejpam-5462	160	25	2β	2β	NUM
ejpam-5462	160	26	)	)	PUNCT
ejpam-5462	160	27	]	]	PUNCT
ejpam-5462	161	1	−	−	PROPN
ejpam-5462	161	2	hβ	hβ	INTJ
ejpam-5462	161	3	γ(β	γ(β	PROPN
ejpam-5462	161	4	+	+	CCONJ
ejpam-5462	161	5	2	2	X
ejpam-5462	161	6	)	)	PUNCT
ejpam-5462	161	7	r∑	r∑	NOUN
ejpam-5462	161	8	m=0	m=0	PROPN
ejpam-5462	161	9	ψ1(tm−1,xm−1	ψ1(tm−1,xm−1	PROPN
ejpam-5462	161	10	)	)	PUNCT
ejpam-5462	161	11	[	[	PUNCT
ejpam-5462	161	12	(	(	PUNCT
ejpam-5462	161	13	n−m+	n−m+	PROPN
ejpam-5462	161	14	1)β+1	1)β+1	NUM
ejpam-5462	161	15	−	−	PROPN
ejpam-5462	161	16	(	(	PUNCT
ejpam-5462	161	17	n−m)β(n−m+	n−m)β(n−m+	PROPN
ejpam-5462	161	18	1	1	NUM
ejpam-5462	161	19	+	+	SYM
ejpam-5462	161	20	β	β	NOUN
ejpam-5462	161	21	)	)	PUNCT
ejpam-5462	161	22	]	]	PUNCT
ejpam-5462	162	1	+	+	PUNCT
ejpam-5462	162	2	ασy(t)(cn)(b(tn+1)−b(tn	ασy(t)(cn)(b(tn+1)−b(tn	NOUN
ejpam-5462	162	3	)	)	PUNCT
ejpam-5462	162	4	)	)	PUNCT
ejpam-5462	162	5	.	.	PUNCT
ejpam-5462	163	1	(	(	PUNCT
ejpam-5462	163	2	14	14	NUM
ejpam-5462	163	3	)	)	PUNCT
ejpam-5462	163	4	yn+1	yn+1	NOUN
ejpam-5462	164	1	=	=	SYM
ejpam-5462	164	2	y0	y0	PROPN
ejpam-5462	164	3	+	+	CCONJ
ejpam-5462	164	4	βhβ	βhβ	NOUN
ejpam-5462	164	5	γ(β	γ(β	PROPN
ejpam-5462	164	6	+	+	CCONJ
ejpam-5462	164	7	2	2	X
ejpam-5462	164	8	)	)	PUNCT
ejpam-5462	164	9	r∑	r∑	NOUN
ejpam-5462	164	10	m=0	m=0	PROPN
ejpam-5462	164	11	ψ1(tm	ψ1(tm	PROPN
ejpam-5462	164	12	,	,	PUNCT
ejpam-5462	164	13	ym	ym	PROPN
ejpam-5462	164	14	)	)	PUNCT
ejpam-5462	164	15	[	[	PUNCT
ejpam-5462	164	16	(	(	PUNCT
ejpam-5462	164	17	n−m+	n−m+	PROPN
ejpam-5462	164	18	1)β(n−m+	1)β(n−m+	NUM
ejpam-5462	164	19	2	2	NUM
ejpam-5462	164	20	+	+	NUM
ejpam-5462	164	21	2β)−	2β)−	NUM
ejpam-5462	164	22	(	(	PUNCT
ejpam-5462	164	23	n−m)β(n−m+	n−m)β(n−m+	PROPN
ejpam-5462	164	24	2	2	NUM
ejpam-5462	164	25	+	+	NUM
ejpam-5462	164	26	2β	2β	NUM
ejpam-5462	164	27	)	)	PUNCT
ejpam-5462	164	28	]	]	PUNCT
ejpam-5462	165	1	−	−	PROPN
ejpam-5462	165	2	hβ	hβ	INTJ
ejpam-5462	165	3	γ(β	γ(β	PROPN
ejpam-5462	165	4	+	+	CCONJ
ejpam-5462	165	5	2	2	X
ejpam-5462	165	6	)	)	PUNCT
ejpam-5462	165	7	r∑	r∑	NOUN
ejpam-5462	165	8	m=0	m=0	PROPN
ejpam-5462	165	9	ψ1(tm−1,ym−1	ψ1(tm−1,ym−1	PROPN
ejpam-5462	165	10	)	)	PUNCT
ejpam-5462	165	11	[	[	PUNCT
ejpam-5462	165	12	(	(	PUNCT
ejpam-5462	165	13	n−m+	n−m+	PROPN
ejpam-5462	165	14	1)β+1	1)β+1	NUM
ejpam-5462	165	15	−	−	PROPN
ejpam-5462	165	16	(	(	PUNCT
ejpam-5462	165	17	n−m)β(n−m+	n−m)β(n−m+	PROPN
ejpam-5462	165	18	1	1	NUM
ejpam-5462	165	19	+	+	SYM
ejpam-5462	165	20	β	β	NOUN
ejpam-5462	165	21	)	)	PUNCT
ejpam-5462	165	22	]	]	PUNCT
ejpam-5462	166	1	+	+	PUNCT
ejpam-5462	166	2	ασy(t)(cn)(b(tn+1)−b(tn	ασy(t)(cn)(b(tn+1)−b(tn	NOUN
ejpam-5462	166	3	)	)	PUNCT
ejpam-5462	166	4	)	)	PUNCT
ejpam-5462	166	5	.	.	PUNCT
ejpam-5462	167	1	(	(	PUNCT
ejpam-5462	167	2	15	15	NUM
ejpam-5462	167	3	)	)	PUNCT
ejpam-5462	167	4	zn+1	zn+1	PROPN
ejpam-5462	167	5	=	=	SYM
ejpam-5462	167	6	z0	z0	PROPN
ejpam-5462	167	7	+	+	CCONJ
ejpam-5462	167	8	βhβ	βhβ	X
ejpam-5462	167	9	γ(β	γ(β	PROPN
ejpam-5462	167	10	+	+	CCONJ
ejpam-5462	167	11	2	2	X
ejpam-5462	167	12	)	)	PUNCT
ejpam-5462	167	13	r∑	r∑	NOUN
ejpam-5462	167	14	m=0	m=0	PROPN
ejpam-5462	167	15	ψ1(tm	ψ1(tm	PROPN
ejpam-5462	167	16	,	,	PUNCT
ejpam-5462	167	17	zm	zm	PROPN
ejpam-5462	167	18	)	)	PUNCT
ejpam-5462	167	19	[	[	PUNCT
ejpam-5462	167	20	(	(	PUNCT
ejpam-5462	167	21	n−m+	n−m+	PROPN
ejpam-5462	167	22	1)β(n−m+	1)β(n−m+	NUM
ejpam-5462	167	23	2	2	NUM
ejpam-5462	167	24	+	+	NUM
ejpam-5462	167	25	2β)−	2β)−	NUM
ejpam-5462	167	26	(	(	PUNCT
ejpam-5462	167	27	n−m)β(n−m+	n−m)β(n−m+	PROPN
ejpam-5462	167	28	2	2	NUM
ejpam-5462	167	29	+	+	NUM
ejpam-5462	167	30	2β	2β	NUM
ejpam-5462	167	31	)	)	PUNCT
ejpam-5462	167	32	]	]	PUNCT
ejpam-5462	168	1	−	−	PROPN
ejpam-5462	168	2	hβ	hβ	INTJ
ejpam-5462	168	3	γ(β	γ(β	PROPN
ejpam-5462	168	4	+	+	CCONJ
ejpam-5462	168	5	2	2	X
ejpam-5462	168	6	)	)	PUNCT
ejpam-5462	168	7	r∑	r∑	NOUN
ejpam-5462	168	8	m=0	m=0	PROPN
ejpam-5462	168	9	ψ1(tm−1,zm−1	ψ1(tm−1,zm−1	PROPN
ejpam-5462	168	10	)	)	PUNCT
ejpam-5462	168	11	[	[	PUNCT
ejpam-5462	168	12	(	(	PUNCT
ejpam-5462	168	13	n−m+	n−m+	PROPN
ejpam-5462	168	14	1)β+1	1)β+1	NUM
ejpam-5462	168	15	−	−	PROPN
ejpam-5462	168	16	(	(	PUNCT
ejpam-5462	168	17	n−m)β(n−m+	n−m)β(n−m+	PROPN
ejpam-5462	168	18	1	1	NUM
ejpam-5462	168	19	+	+	SYM
ejpam-5462	168	20	β	β	NOUN
ejpam-5462	168	21	)	)	PUNCT
ejpam-5462	168	22	]	]	PUNCT
ejpam-5462	169	1	+	+	PUNCT
ejpam-5462	169	2	ασy(t)(cn)(b(tn+1)−b(tn	ασy(t)(cn)(b(tn+1)−b(tn	NOUN
ejpam-5462	169	3	)	)	PUNCT
ejpam-5462	169	4	)	)	PUNCT
ejpam-5462	169	5	.	.	PUNCT
ejpam-5462	170	1	(	(	PUNCT
ejpam-5462	170	2	16	16	NUM
ejpam-5462	170	3	)	)	PUNCT
ejpam-5462	170	4	4.2	4.2	NUM
ejpam-5462	170	5	.	.	PUNCT
ejpam-5462	171	1	a	a	DET
ejpam-5462	171	2	numerical	numerical	ADJ
ejpam-5462	171	3	scheme	scheme	NOUN
ejpam-5462	171	4	for	for	ADP
ejpam-5462	171	5	variable	variable	ADJ
ejpam-5462	171	6	-	-	PUNCT
ejpam-5462	171	7	order	order	NOUN
ejpam-5462	171	8	fractional	fractional	ADJ
ejpam-5462	171	9	financial	financial	ADJ
ejpam-5462	171	10	system	system	NOUN
ejpam-5462	171	11	.	.	PUNCT
ejpam-5462	172	1	this	this	DET
ejpam-5462	172	2	study	study	NOUN
ejpam-5462	172	3	presents	present	VERB
ejpam-5462	172	4	a	a	DET
ejpam-5462	172	5	numerical	numerical	ADJ
ejpam-5462	172	6	method	method	NOUN
ejpam-5462	172	7	for	for	ADP
ejpam-5462	172	8	a	a	DET
ejpam-5462	172	9	fractional	fractional	ADJ
ejpam-5462	172	10	financial	financial	ADJ
ejpam-5462	172	11	system	system	NOUN
ejpam-5462	172	12	that	that	PRON
ejpam-5462	172	13	integrates	integrate	VERB
ejpam-5462	172	14	a	a	DET
ejpam-5462	172	15	stochastic	stochastic	NOUN
ejpam-5462	172	16	utilizing	utilize	VERB
ejpam-5462	172	17	a	a	DET
ejpam-5462	172	18	variable	variable	ADJ
ejpam-5462	172	19	-	-	PUNCT
ejpam-5462	172	20	order	order	NOUN
ejpam-5462	172	21	fractional	fractional	NOUN
ejpam-5462	172	22	,	,	PUNCT
ejpam-5462	172	23	the	the	DET
ejpam-5462	172	24	caputo	caputo	PROPN
ejpam-5462	172	25	fractional	fractional	PROPN
ejpam-5462	172	26	derivative	derivative	NOUN
ejpam-5462	172	27	is	be	AUX
ejpam-5462	172	28	employed	employ	VERB
ejpam-5462	172	29	.	.	PUNCT
ejpam-5462	173	1	cd	cd	PROPN
ejpam-5462	173	2	β(t	β(t	PROPN
ejpam-5462	173	3	)	)	PUNCT
ejpam-5462	173	4	a+	a+	PUNCT
ejpam-5462	174	1	s(t	s(t	PROPN
ejpam-5462	174	2	)	)	PUNCT
ejpam-5462	174	3	=	=	PUNCT
ejpam-5462	175	1	ψ1(t	ψ1(t	PROPN
ejpam-5462	175	2	,	,	PUNCT
ejpam-5462	175	3	s(t	s(t	PROPN
ejpam-5462	175	4	)	)	PUNCT
ejpam-5462	175	5	)	)	PUNCT
ejpam-5462	176	1	+	+	CCONJ
ejpam-5462	176	2	σy(t)db(t	σy(t)db(t	X
ejpam-5462	176	3	)	)	PUNCT
ejpam-5462	176	4	(	(	PUNCT
ejpam-5462	176	5	17	17	NUM
ejpam-5462	176	6	)	)	PUNCT
ejpam-5462	176	7	s(t	s(t	PROPN
ejpam-5462	176	8	)	)	PUNCT
ejpam-5462	176	9	=	=	SYM
ejpam-5462	176	10	s(0	s(0	PROPN
ejpam-5462	176	11	)	)	PUNCT
ejpam-5462	176	12	+	+	CCONJ
ejpam-5462	176	13	1	1	NUM
ejpam-5462	176	14	γ(β	γ(β	NUM
ejpam-5462	176	15	)	)	PUNCT
ejpam-5462	176	16	∫	∫	PROPN
ejpam-5462	176	17	t	t	PROPN
ejpam-5462	176	18	0	0	NUM
ejpam-5462	177	1	(	(	PUNCT
ejpam-5462	177	2	t−	t−	PROPN
ejpam-5462	177	3	w)β(t)−1ψ1(s	w)β(t)−1ψ1(s	PROPN
ejpam-5462	177	4	,	,	PUNCT
ejpam-5462	177	5	w	w	NOUN
ejpam-5462	177	6	)	)	PUNCT
ejpam-5462	177	7	dw	dw	NOUN
ejpam-5462	178	1	+	+	CCONJ
ejpam-5462	178	2	∫	∫	PROPN
ejpam-5462	178	3	t	t	PROPN
ejpam-5462	178	4	0	0	NUM
ejpam-5462	178	5	σy(t)db(t	σy(t)db(t	NOUN
ejpam-5462	178	6	)	)	PUNCT
ejpam-5462	178	7	(	(	PUNCT
ejpam-5462	178	8	18	18	NUM
ejpam-5462	178	9	)	)	PUNCT
ejpam-5462	178	10	at	at	ADP
ejpam-5462	178	11	time	time	NOUN
ejpam-5462	178	12	t	t	PROPN
ejpam-5462	178	13	=	=	SYM
ejpam-5462	178	14	tn+1	tn+1	PROPN
ejpam-5462	179	1	,	,	PUNCT
ejpam-5462	179	2	18	18	NUM
ejpam-5462	179	3	takes	take	VERB
ejpam-5462	179	4	the	the	DET
ejpam-5462	179	5	following	follow	VERB
ejpam-5462	179	6	form	form	NOUN
ejpam-5462	179	7	:	:	PUNCT
ejpam-5462	179	8	s(tn+1	s(tn+1	X
ejpam-5462	179	9	)	)	PUNCT
ejpam-5462	179	10	=	=	SYM
ejpam-5462	180	1	s(0	s(0	PROPN
ejpam-5462	180	2	)	)	PUNCT
ejpam-5462	180	3	+	+	CCONJ
ejpam-5462	180	4	1	1	NUM
ejpam-5462	180	5	γ(β(t	γ(β(t	NOUN
ejpam-5462	180	6	)	)	PUNCT
ejpam-5462	180	7	)	)	PUNCT
ejpam-5462	181	1	∫	∫	PROPN
ejpam-5462	181	2	tn+1	tn+1	NOUN
ejpam-5462	181	3	0	0	PUNCT
ejpam-5462	181	4	(	(	PUNCT
ejpam-5462	181	5	t−	t−	PROPN
ejpam-5462	181	6	w)β(t)−1ψ1(s	w)β(t)−1ψ1(s	PROPN
ejpam-5462	181	7	,	,	PUNCT
ejpam-5462	181	8	w	w	NOUN
ejpam-5462	181	9	)	)	PUNCT
ejpam-5462	181	10	dw	dw	NOUN
ejpam-5462	182	1	+	+	CCONJ
ejpam-5462	182	2	∫	∫	PROPN
ejpam-5462	182	3	tn+1	tn+1	NOUN
ejpam-5462	182	4	0	0	NUM
ejpam-5462	182	5	σy(t)db(t	σy(t)db(t	NOUN
ejpam-5462	182	6	)	)	PUNCT
ejpam-5462	182	7	(	(	PUNCT
ejpam-5462	182	8	19	19	NUM
ejpam-5462	182	9	)	)	PUNCT
ejpam-5462	182	10	m.	m.	NOUN
ejpam-5462	182	11	berir	berir	NOUN
ejpam-5462	182	12	/	/	SYM
ejpam-5462	182	13	eur	eur	PROPN
ejpam-5462	182	14	.	.	PUNCT
ejpam-5462	183	1	j.	j.	PROPN
ejpam-5462	183	2	pure	pure	PROPN
ejpam-5462	183	3	appl	appl	PROPN
ejpam-5462	183	4	.	.	PROPN
ejpam-5462	183	5	math	math	PROPN
ejpam-5462	183	6	,	,	PUNCT
ejpam-5462	183	7	17	17	NUM
ejpam-5462	183	8	(	(	PUNCT
ejpam-5462	183	9	4	4	NUM
ejpam-5462	183	10	)	)	PUNCT
ejpam-5462	183	11	(	(	PUNCT
ejpam-5462	183	12	2024	2024	NUM
ejpam-5462	183	13	)	)	PUNCT
ejpam-5462	183	14	,	,	PUNCT
ejpam-5462	183	15	3915	3915	NUM
ejpam-5462	183	16	-	-	SYM
ejpam-5462	183	17	3931	3931	NUM
ejpam-5462	183	18	3922	3922	NUM
ejpam-5462	183	19	at	at	ADP
ejpam-5462	183	20	t	t	PROPN
ejpam-5462	183	21	=	=	SYM
ejpam-5462	183	22	tn	tn	PROPN
ejpam-5462	183	23	sn	sn	NOUN
ejpam-5462	183	24	=	=	PUNCT
ejpam-5462	183	25	s(tn	s(tn	X
ejpam-5462	183	26	)	)	PUNCT
ejpam-5462	183	27	=	=	SYM
ejpam-5462	183	28	s(0	s(0	PROPN
ejpam-5462	183	29	)	)	PUNCT
ejpam-5462	183	30	+	+	CCONJ
ejpam-5462	183	31	1	1	NUM
ejpam-5462	183	32	γ(β(t	γ(β(t	NOUN
ejpam-5462	183	33	)	)	PUNCT
ejpam-5462	183	34	)	)	PUNCT
ejpam-5462	184	1	∫	∫	PROPN
ejpam-5462	184	2	tn	tn	PROPN
ejpam-5462	184	3	0	0	NUM
ejpam-5462	185	1	(	(	PUNCT
ejpam-5462	185	2	t−	t−	PROPN
ejpam-5462	185	3	w)β(t)−1ψ1(s	w)β(t)−1ψ1(s	PROPN
ejpam-5462	185	4	,	,	PUNCT
ejpam-5462	185	5	w	w	NOUN
ejpam-5462	185	6	)	)	PUNCT
ejpam-5462	185	7	dw	dw	NOUN
ejpam-5462	186	1	+	+	CCONJ
ejpam-5462	186	2	∫	∫	PROPN
ejpam-5462	186	3	tn	tn	PROPN
ejpam-5462	186	4	0	0	NUM
ejpam-5462	186	5	σy(t)db(t	σy(t)db(t	NOUN
ejpam-5462	186	6	)	)	PUNCT
ejpam-5462	186	7	(	(	PUNCT
ejpam-5462	186	8	20	20	NUM
ejpam-5462	186	9	)	)	PUNCT
ejpam-5462	186	10	s(tn	s(tn	PROPN
ejpam-5462	186	11	+	+	NOUN
ejpam-5462	186	12	1	1	X
ejpam-5462	186	13	)	)	PUNCT
ejpam-5462	186	14	=	=	SYM
ejpam-5462	186	15	s(0	s(0	PROPN
ejpam-5462	186	16	)	)	PUNCT
ejpam-5462	186	17	+	+	CCONJ
ejpam-5462	186	18	1	1	NUM
ejpam-5462	186	19	γ(β(t	γ(β(t	NOUN
ejpam-5462	186	20	)	)	PUNCT
ejpam-5462	186	21	)	)	PUNCT
ejpam-5462	187	1	∫	∫	PROPN
ejpam-5462	187	2	tn	tn	PROPN
ejpam-5462	187	3	0	0	NUM
ejpam-5462	188	1	(	(	PUNCT
ejpam-5462	188	2	t−	t−	PROPN
ejpam-5462	188	3	w)β(t)−1ψ1(s	w)β(t)−1ψ1(s	PROPN
ejpam-5462	188	4	,	,	PUNCT
ejpam-5462	188	5	w	w	NOUN
ejpam-5462	188	6	)	)	PUNCT
ejpam-5462	188	7	dw	dw	NOUN
ejpam-5462	189	1	+	+	CCONJ
ejpam-5462	189	2	∫	∫	PROPN
ejpam-5462	189	3	tn	tn	PROPN
ejpam-5462	189	4	0	0	NUM
ejpam-5462	189	5	σy(t)db(t	σy(t)db(t	NOUN
ejpam-5462	189	6	)	)	PUNCT
ejpam-5462	189	7	(	(	PUNCT
ejpam-5462	189	8	21	21	NUM
ejpam-5462	189	9	)	)	PUNCT
ejpam-5462	189	10	numerical	numerical	ADJ
ejpam-5462	189	11	solution	solution	NOUN
ejpam-5462	189	12	of	of	ADP
ejpam-5462	189	13	equation	equation	NOUN
ejpam-5462	189	14	(	(	PUNCT
ejpam-5462	189	15	9	9	NUM
ejpam-5462	189	16	)	)	PUNCT
ejpam-5462	189	17	obtained	obtain	VERB
ejpam-5462	189	18	via	via	ADP
ejpam-5462	189	19	lagrange	lagrange	PROPN
ejpam-5462	189	20	polynomial	polynomial	ADJ
ejpam-5462	189	21	interpolation	interpolation	NOUN
ejpam-5462	189	22	is	be	AUX
ejpam-5462	189	23	as	as	SCONJ
ejpam-5462	189	24	follows	follow	VERB
ejpam-5462	189	25	:	:	PUNCT
ejpam-5462	189	26	sn+1	sn+1	X
ejpam-5462	189	27	=	=	SYM
ejpam-5462	189	28	s0	s0	PROPN
ejpam-5462	189	29	+	+	CCONJ
ejpam-5462	189	30	β(t)hβ(t	β(t)hβ(t	X
ejpam-5462	189	31	)	)	PUNCT
ejpam-5462	189	32	γ(β(t	γ(β(t	NOUN
ejpam-5462	189	33	)	)	PUNCT
ejpam-5462	190	1	+	+	CCONJ
ejpam-5462	190	2	2	2	X
ejpam-5462	190	3	)	)	PUNCT
ejpam-5462	190	4	r∑	r∑	NOUN
ejpam-5462	190	5	m=0	m=0	PROPN
ejpam-5462	190	6	ψ1(tm	ψ1(tm	PROPN
ejpam-5462	190	7	,	,	PUNCT
ejpam-5462	190	8	sm	sm	PROPN
ejpam-5462	190	9	)	)	PUNCT
ejpam-5462	190	10	[	[	PUNCT
ejpam-5462	190	11	(	(	PUNCT
ejpam-5462	190	12	n−m+	n−m+	PROPN
ejpam-5462	190	13	1)β(t)(n−m+	1)β(t)(n−m+	NUM
ejpam-5462	190	14	2	2	NUM
ejpam-5462	190	15	+	+	SYM
ejpam-5462	190	16	2β)−	2β)−	NUM
ejpam-5462	190	17	(	(	PUNCT
ejpam-5462	190	18	n−m)β(t	n−m)β(t	PROPN
ejpam-5462	190	19	)	)	PUNCT
ejpam-5462	190	20	)	)	PUNCT
ejpam-5462	190	21	]	]	PUNCT
ejpam-5462	191	1	−	−	PROPN
ejpam-5462	191	2	hβ	hβ	INTJ
ejpam-5462	191	3	γ(β(t	γ(β(t	PROPN
ejpam-5462	191	4	)	)	PUNCT
ejpam-5462	192	1	+	+	CCONJ
ejpam-5462	192	2	2	2	X
ejpam-5462	192	3	)	)	PUNCT
ejpam-5462	192	4	r∑	r∑	NOUN
ejpam-5462	192	5	m=0	m=0	PROPN
ejpam-5462	192	6	ψ1(tm−1,sm−1	ψ1(tm−1,sm−1	PROPN
ejpam-5462	192	7	)	)	PUNCT
ejpam-5462	193	1	[	[	PUNCT
ejpam-5462	193	2	(	(	PUNCT
ejpam-5462	193	3	n−m+	n−m+	PROPN
ejpam-5462	193	4	1)β(t)+1	1)β(t)+1	NUM
ejpam-5462	193	5	−	−	NOUN
ejpam-5462	193	6	(	(	PUNCT
ejpam-5462	193	7	n−m)β(t)(n−m+	n−m)β(t)(n−m+	VERB
ejpam-5462	193	8	1	1	NUM
ejpam-5462	193	9	+	+	CCONJ
ejpam-5462	193	10	β	β	NOUN
ejpam-5462	193	11	)	)	PUNCT
ejpam-5462	193	12	]	]	PUNCT
ejpam-5462	194	1	+	+	CCONJ
ejpam-5462	194	2	β(t)σy(t)(cn)(b(tn+1)−b(tn	β(t)σy(t)(cn)(b(tn+1)−b(tn	NOUN
ejpam-5462	194	3	)	)	PUNCT
ejpam-5462	194	4	)	)	PUNCT
ejpam-5462	194	5	.	.	PUNCT
ejpam-5462	195	1	(	(	PUNCT
ejpam-5462	195	2	22	22	X
ejpam-5462	195	3	)	)	PUNCT
ejpam-5462	195	4	we	we	PRON
ejpam-5462	195	5	therefore	therefore	ADV
ejpam-5462	195	6	present	present	VERB
ejpam-5462	195	7	the	the	DET
ejpam-5462	195	8	numerical	numerical	ADJ
ejpam-5462	195	9	solution	solution	NOUN
ejpam-5462	195	10	that	that	PRON
ejpam-5462	195	11	we	we	PRON
ejpam-5462	195	12	have	have	AUX
ejpam-5462	195	13	developed	develop	VERB
ejpam-5462	195	14	for	for	ADP
ejpam-5462	195	15	the	the	DET
ejpam-5462	195	16	variable	variable	ADJ
ejpam-5462	195	17	-	-	PUNCT
ejpam-5462	195	18	order	order	NOUN
ejpam-5462	195	19	fractional	fractional	ADJ
ejpam-5462	195	20	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	195	21	system	system	NOUN
ejpam-5462	195	22	,	,	PUNCT
ejpam-5462	195	23	which	which	PRON
ejpam-5462	195	24	is	be	AUX
ejpam-5462	195	25	as	as	SCONJ
ejpam-5462	195	26	follows	follow	VERB
ejpam-5462	195	27	:	:	PUNCT
ejpam-5462	195	28	xn+1	xn+1	NUM
ejpam-5462	195	29	=	=	PUNCT
ejpam-5462	196	1	x0	x0	PROPN
ejpam-5462	196	2	+	+	NUM
ejpam-5462	196	3	β(t)hβ(t	β(t)hβ(t	X
ejpam-5462	196	4	)	)	PUNCT
ejpam-5462	196	5	γ(β(t	γ(β(t	NOUN
ejpam-5462	196	6	)	)	PUNCT
ejpam-5462	197	1	+	+	CCONJ
ejpam-5462	197	2	2	2	X
ejpam-5462	197	3	)	)	PUNCT
ejpam-5462	197	4	r∑	r∑	NOUN
ejpam-5462	197	5	m=0	m=0	PROPN
ejpam-5462	197	6	ψ1(tm	ψ1(tm	PROPN
ejpam-5462	197	7	,	,	PUNCT
ejpam-5462	197	8	xm	xm	PROPN
ejpam-5462	197	9	)	)	PUNCT
ejpam-5462	197	10	[	[	PUNCT
ejpam-5462	197	11	(	(	PUNCT
ejpam-5462	197	12	n−m+	n−m+	PROPN
ejpam-5462	197	13	1)β(t)(n−m+	1)β(t)(n−m+	NUM
ejpam-5462	197	14	2	2	NUM
ejpam-5462	197	15	+	+	SYM
ejpam-5462	197	16	2β)−	2β)−	NUM
ejpam-5462	197	17	(	(	PUNCT
ejpam-5462	197	18	n−m)β(t	n−m)β(t	PROPN
ejpam-5462	197	19	)	)	PUNCT
ejpam-5462	197	20	)	)	PUNCT
ejpam-5462	197	21	]	]	PUNCT
ejpam-5462	198	1	−	−	PROPN
ejpam-5462	198	2	hβ	hβ	INTJ
ejpam-5462	198	3	γ(β(t	γ(β(t	PROPN
ejpam-5462	198	4	)	)	PUNCT
ejpam-5462	199	1	+	+	CCONJ
ejpam-5462	199	2	2	2	X
ejpam-5462	199	3	)	)	PUNCT
ejpam-5462	199	4	r∑	r∑	NOUN
ejpam-5462	199	5	m=0	m=0	PROPN
ejpam-5462	199	6	ψ1(tm−1,xm−1	ψ1(tm−1,xm−1	PROPN
ejpam-5462	199	7	)	)	PUNCT
ejpam-5462	200	1	[	[	PUNCT
ejpam-5462	200	2	(	(	PUNCT
ejpam-5462	200	3	n−m+	n−m+	PROPN
ejpam-5462	200	4	1)β(t)+1	1)β(t)+1	NUM
ejpam-5462	200	5	−	−	NOUN
ejpam-5462	200	6	(	(	PUNCT
ejpam-5462	200	7	n−m)β(t)(n−m+	n−m)β(t)(n−m+	VERB
ejpam-5462	200	8	1	1	NUM
ejpam-5462	200	9	+	+	NUM
ejpam-5462	200	10	β(t	β(t	NOUN
ejpam-5462	200	11	)	)	PUNCT
ejpam-5462	200	12	)	)	PUNCT
ejpam-5462	201	1	]	]	PUNCT
ejpam-5462	202	1	+	+	PUNCT
ejpam-5462	202	2	ασy(t)(cn)(b(tn+1)−b(tn	ασy(t)(cn)(b(tn+1)−b(tn	NOUN
ejpam-5462	202	3	)	)	PUNCT
ejpam-5462	202	4	)	)	PUNCT
ejpam-5462	202	5	.	.	PUNCT
ejpam-5462	203	1	(	(	PUNCT
ejpam-5462	203	2	23	23	NUM
ejpam-5462	203	3	)	)	PUNCT
ejpam-5462	203	4	yn+1	yn+1	PROPN
ejpam-5462	203	5	=	=	PUNCT
ejpam-5462	203	6	y0	y0	PROPN
ejpam-5462	203	7	+	+	SYM
ejpam-5462	203	8	β(t)hβ(t	β(t)hβ(t	NOUN
ejpam-5462	203	9	)	)	PUNCT
ejpam-5462	203	10	γ(β(t	γ(β(t	NOUN
ejpam-5462	203	11	)	)	PUNCT
ejpam-5462	204	1	+	+	CCONJ
ejpam-5462	204	2	2	2	X
ejpam-5462	204	3	)	)	PUNCT
ejpam-5462	204	4	r∑	r∑	NOUN
ejpam-5462	204	5	m=0	m=0	PROPN
ejpam-5462	204	6	ψ1(tm	ψ1(tm	PROPN
ejpam-5462	204	7	,	,	PUNCT
ejpam-5462	204	8	ym	ym	PROPN
ejpam-5462	204	9	)	)	PUNCT
ejpam-5462	204	10	[	[	PUNCT
ejpam-5462	204	11	(	(	PUNCT
ejpam-5462	204	12	n−m+	n−m+	PROPN
ejpam-5462	204	13	1)β(t)(n−m+	1)β(t)(n−m+	NUM
ejpam-5462	204	14	2	2	NUM
ejpam-5462	204	15	+	+	SYM
ejpam-5462	204	16	2β(t))−	2β(t))−	NUM
ejpam-5462	204	17	(	(	PUNCT
ejpam-5462	204	18	n−m)β(t	n−m)β(t	PROPN
ejpam-5462	204	19	)	)	PUNCT
ejpam-5462	204	20	)	)	PUNCT
ejpam-5462	204	21	]	]	PUNCT
ejpam-5462	205	1	−	−	PROPN
ejpam-5462	205	2	hβ(t	hβ(t	SYM
ejpam-5462	205	3	)	)	PUNCT
ejpam-5462	205	4	γ(β(t	γ(β(t	NOUN
ejpam-5462	205	5	)	)	PUNCT
ejpam-5462	206	1	+	+	CCONJ
ejpam-5462	206	2	2	2	X
ejpam-5462	206	3	)	)	PUNCT
ejpam-5462	206	4	r∑	r∑	NOUN
ejpam-5462	206	5	m=0	m=0	PROPN
ejpam-5462	206	6	ψ1(tm−1,ym−1	ψ1(tm−1,ym−1	PROPN
ejpam-5462	206	7	)	)	PUNCT
ejpam-5462	207	1	[	[	PUNCT
ejpam-5462	207	2	(	(	PUNCT
ejpam-5462	207	3	n−m+	n−m+	PROPN
ejpam-5462	207	4	1)β(t)+1	1)β(t)+1	NUM
ejpam-5462	207	5	−	−	NOUN
ejpam-5462	207	6	(	(	PUNCT
ejpam-5462	207	7	n−m)β(t)(n−m+	n−m)β(t)(n−m+	VERB
ejpam-5462	207	8	1	1	NUM
ejpam-5462	207	9	+	+	NUM
ejpam-5462	207	10	β(t	β(t	NOUN
ejpam-5462	207	11	)	)	PUNCT
ejpam-5462	207	12	)	)	PUNCT
ejpam-5462	208	1	]	]	PUNCT
ejpam-5462	209	1	+	+	PUNCT
ejpam-5462	209	2	ασy(t)(cn)(b(tn+1)−b(tn	ασy(t)(cn)(b(tn+1)−b(tn	NOUN
ejpam-5462	209	3	)	)	PUNCT
ejpam-5462	209	4	)	)	PUNCT
ejpam-5462	209	5	.	.	PUNCT
ejpam-5462	210	1	(	(	PUNCT
ejpam-5462	210	2	24	24	NUM
ejpam-5462	210	3	)	)	PUNCT
ejpam-5462	210	4	zn+1	zn+1	PROPN
ejpam-5462	210	5	=	=	SYM
ejpam-5462	210	6	z0	z0	PROPN
ejpam-5462	210	7	+	+	CCONJ
ejpam-5462	210	8	β(t)hβ(t	β(t)hβ(t	NOUN
ejpam-5462	210	9	)	)	PUNCT
ejpam-5462	210	10	γ(β(t	γ(β(t	NOUN
ejpam-5462	210	11	)	)	PUNCT
ejpam-5462	211	1	+	+	CCONJ
ejpam-5462	211	2	2	2	X
ejpam-5462	211	3	)	)	PUNCT
ejpam-5462	211	4	r∑	r∑	NOUN
ejpam-5462	211	5	m=0	m=0	PROPN
ejpam-5462	211	6	ψ1(tm	ψ1(tm	PROPN
ejpam-5462	211	7	,	,	PUNCT
ejpam-5462	211	8	zm	zm	PROPN
ejpam-5462	211	9	)	)	PUNCT
ejpam-5462	211	10	[	[	PUNCT
ejpam-5462	211	11	(	(	PUNCT
ejpam-5462	211	12	n−m+	n−m+	PROPN
ejpam-5462	211	13	1)β(t)(n−m+	1)β(t)(n−m+	NUM
ejpam-5462	211	14	2	2	NUM
ejpam-5462	211	15	+	+	SYM
ejpam-5462	211	16	2β(t))−	2β(t))−	NUM
ejpam-5462	211	17	(	(	PUNCT
ejpam-5462	211	18	n−m)β(t	n−m)β(t	PROPN
ejpam-5462	211	19	)	)	PUNCT
ejpam-5462	211	20	)	)	PUNCT
ejpam-5462	211	21	]	]	PUNCT
ejpam-5462	212	1	−	−	PROPN
ejpam-5462	212	2	hβ(t	hβ(t	SYM
ejpam-5462	212	3	)	)	PUNCT
ejpam-5462	212	4	γ(β(t	γ(β(t	NOUN
ejpam-5462	212	5	)	)	PUNCT
ejpam-5462	213	1	+	+	CCONJ
ejpam-5462	213	2	2	2	X
ejpam-5462	213	3	)	)	PUNCT
ejpam-5462	213	4	r∑	r∑	NOUN
ejpam-5462	213	5	m=0	m=0	PROPN
ejpam-5462	213	6	ψ1(tm−1,zm−1	ψ1(tm−1,zm−1	PROPN
ejpam-5462	213	7	)	)	PUNCT
ejpam-5462	214	1	[	[	PUNCT
ejpam-5462	214	2	(	(	PUNCT
ejpam-5462	214	3	n−m+	n−m+	PROPN
ejpam-5462	214	4	1)β(t)+1	1)β(t)+1	NUM
ejpam-5462	214	5	−	−	NOUN
ejpam-5462	214	6	(	(	PUNCT
ejpam-5462	214	7	n−m)β(t)(n−m+	n−m)β(t)(n−m+	VERB
ejpam-5462	214	8	1	1	NUM
ejpam-5462	214	9	+	+	NUM
ejpam-5462	214	10	β(t	β(t	NOUN
ejpam-5462	214	11	)	)	PUNCT
ejpam-5462	214	12	)	)	PUNCT
ejpam-5462	215	1	]	]	PUNCT
ejpam-5462	216	1	+	+	CCONJ
ejpam-5462	216	2	β(t)σy(t)(cn)(b(tn+1)−b(tn	β(t)σy(t)(cn)(b(tn+1)−b(tn	NOUN
ejpam-5462	216	3	)	)	PUNCT
ejpam-5462	216	4	)	)	PUNCT
ejpam-5462	216	5	.	.	PUNCT
ejpam-5462	217	1	(	(	PUNCT
ejpam-5462	217	2	25	25	NUM
ejpam-5462	217	3	)	)	PUNCT
ejpam-5462	217	4	m.	m.	NOUN
ejpam-5462	217	5	berir	berir	NOUN
ejpam-5462	217	6	/	/	SYM
ejpam-5462	217	7	eur	eur	PROPN
ejpam-5462	217	8	.	.	PUNCT
ejpam-5462	218	1	j.	j.	PROPN
ejpam-5462	218	2	pure	pure	PROPN
ejpam-5462	218	3	appl	appl	PROPN
ejpam-5462	218	4	.	.	PROPN
ejpam-5462	218	5	math	math	PROPN
ejpam-5462	218	6	,	,	PUNCT
ejpam-5462	218	7	17	17	NUM
ejpam-5462	218	8	(	(	PUNCT
ejpam-5462	218	9	4	4	NUM
ejpam-5462	218	10	)	)	PUNCT
ejpam-5462	218	11	(	(	PUNCT
ejpam-5462	218	12	2024	2024	NUM
ejpam-5462	218	13	)	)	PUNCT
ejpam-5462	218	14	,	,	PUNCT
ejpam-5462	218	15	3915	3915	NUM
ejpam-5462	218	16	-	-	SYM
ejpam-5462	218	17	3931	3931	NUM
ejpam-5462	218	18	3923	3923	NUM
ejpam-5462	218	19	5	5	NUM
ejpam-5462	218	20	.	.	PUNCT
ejpam-5462	219	1	modeling	model	VERB
ejpam-5462	219	2	the	the	DET
ejpam-5462	219	3	financial	financial	ADJ
ejpam-5462	219	4	system	system	NOUN
ejpam-5462	219	5	with	with	ADP
ejpam-5462	219	6	white	white	ADJ
ejpam-5462	219	7	noise	noise	NOUN
ejpam-5462	219	8	in	in	ADP
ejpam-5462	219	9	this	this	DET
ejpam-5462	219	10	section	section	NOUN
ejpam-5462	219	11	,	,	PUNCT
ejpam-5462	219	12	we	we	PRON
ejpam-5462	219	13	define	define	VERB
ejpam-5462	219	14	the	the	DET
ejpam-5462	219	15	specific	specific	ADJ
ejpam-5462	219	16	financial	financial	ADJ
ejpam-5462	219	17	system	system	NOUN
ejpam-5462	219	18	under	under	ADP
ejpam-5462	219	19	study	study	NOUN
ejpam-5462	219	20	,	,	PUNCT
ejpam-5462	219	21	introducing	introduce	VERB
ejpam-5462	219	22	the	the	DET
ejpam-5462	219	23	governing	govern	VERB
ejpam-5462	219	24	equations	equation	NOUN
ejpam-5462	219	25	and	and	CCONJ
ejpam-5462	219	26	parameters	parameter	NOUN
ejpam-5462	219	27	.	.	PUNCT
ejpam-5462	220	1	the	the	PRON
ejpam-5462	220	2	(	(	PUNCT
ejpam-5462	220	3	hs	hs	X
ejpam-5462	220	4	)	)	PUNCT
ejpam-5462	220	5	is	be	AUX
ejpam-5462	220	6	examined	examine	VERB
ejpam-5462	220	7	both	both	CCONJ
ejpam-5462	220	8	in	in	ADP
ejpam-5462	220	9	the	the	DET
ejpam-5462	220	10	absence	absence	NOUN
ejpam-5462	220	11	and	and	CCONJ
ejpam-5462	220	12	presence	presence	NOUN
ejpam-5462	220	13	of	of	ADP
ejpam-5462	220	14	white	white	ADJ
ejpam-5462	220	15	noise	noise	NOUN
ejpam-5462	220	16	.	.	PUNCT
ejpam-5462	221	1	numerical	numerical	ADJ
ejpam-5462	221	2	simulations	simulation	NOUN
ejpam-5462	221	3	are	be	AUX
ejpam-5462	221	4	conducted	conduct	VERB
ejpam-5462	221	5	to	to	PART
ejpam-5462	221	6	explore	explore	VERB
ejpam-5462	221	7	how	how	SCONJ
ejpam-5462	221	8	white	white	ADJ
ejpam-5462	221	9	noise	noise	NOUN
ejpam-5462	221	10	influences	influence	VERB
ejpam-5462	221	11	the	the	DET
ejpam-5462	221	12	chaotic	chaotic	ADJ
ejpam-5462	221	13	dynamics	dynamic	NOUN
ejpam-5462	221	14	for	for	ADP
ejpam-5462	221	15	both	both	CCONJ
ejpam-5462	221	16	constant	constant	ADJ
ejpam-5462	221	17	and	and	CCONJ
ejpam-5462	221	18	variable	variable	ADJ
ejpam-5462	221	19	orders	order	NOUN
ejpam-5462	221	20	.	.	PUNCT
ejpam-5462	222	1	from	from	ADP
ejpam-5462	222	2	the	the	DET
ejpam-5462	222	3	previous	previous	ADJ
ejpam-5462	222	4	figure(1	figure(1	NOUN
ejpam-5462	222	5	)	)	PUNCT
ejpam-5462	222	6	,	,	PUNCT
ejpam-5462	222	7	it	it	PRON
ejpam-5462	222	8	is	be	AUX
ejpam-5462	222	9	evident	evident	ADJ
ejpam-5462	222	10	that	that	SCONJ
ejpam-5462	222	11	in	in	ADP
ejpam-5462	222	12	the	the	DET
ejpam-5462	222	13	absence	absence	NOUN
ejpam-5462	222	14	of	of	ADP
ejpam-5462	222	15	noise	noise	NOUN
ejpam-5462	222	16	(	(	PUNCT
ejpam-5462	222	17	i.e.	i.e.	X
ejpam-5462	222	18	,	,	PUNCT
ejpam-5462	222	19	when	when	SCONJ
ejpam-5462	222	20	σ	σ	PROPN
ejpam-5462	222	21	=	=	SYM
ejpam-5462	222	22	0	0	NUM
ejpam-5462	222	23	)	)	PUNCT
ejpam-5462	222	24	,	,	PUNCT
ejpam-5462	222	25	there	there	PRON
ejpam-5462	222	26	are	be	VERB
ejpam-5462	222	27	no	no	DET
ejpam-5462	222	28	distinct	distinct	ADJ
ejpam-5462	222	29	types	type	NOUN
ejpam-5462	222	30	of	of	ADP
ejpam-5462	222	31	white	white	ADJ
ejpam-5462	222	32	noise	noise	NOUN
ejpam-5462	222	33	in	in	ADP
ejpam-5462	222	34	systems	system	NOUN
ejpam-5462	222	35	(	(	PUNCT
ejpam-5462	222	36	4	4	NUM
ejpam-5462	222	37	-	-	SYM
ejpam-5462	222	38	5	5	NUM
ejpam-5462	222	39	)	)	PUNCT
ejpam-5462	222	40	.	.	PUNCT
ejpam-5462	223	1	figure(2	figure(2	PROPN
ejpam-5462	223	2	)	)	PUNCT
ejpam-5462	223	3	shows	show	VERB
ejpam-5462	223	4	that	that	SCONJ
ejpam-5462	223	5	when	when	SCONJ
ejpam-5462	223	6	the	the	DET
ejpam-5462	223	7	noise	noise	NOUN
ejpam-5462	223	8	is	be	AUX
ejpam-5462	223	9	absent	absent	ADJ
ejpam-5462	223	10	(	(	PUNCT
ejpam-5462	223	11	i.e.	i.e.	X
ejpam-5462	223	12	,	,	PUNCT
ejpam-5462	223	13	when	when	SCONJ
ejpam-5462	223	14	σ	σ	PROPN
ejpam-5462	223	15	=	=	NOUN
ejpam-5462	223	16	0.2	0.2	NUM
ejpam-5462	223	17	)	)	PUNCT
ejpam-5462	223	18	,	,	PUNCT
ejpam-5462	223	19	there	there	PRON
ejpam-5462	223	20	are	be	VERB
ejpam-5462	223	21	several	several	ADJ
ejpam-5462	223	22	types	type	NOUN
ejpam-5462	223	23	of	of	ADP
ejpam-5462	223	24	white	white	ADJ
ejpam-5462	223	25	noise	noise	NOUN
ejpam-5462	223	26	.	.	PUNCT
ejpam-5462	224	1	figures(3	figures(3	NOUN
ejpam-5462	224	2	-	-	PUNCT
ejpam-5462	224	3	5	5	NUM
ejpam-5462	224	4	)	)	PUNCT
ejpam-5462	224	5	demonstrates	demonstrate	VERB
ejpam-5462	224	6	that	that	SCONJ
ejpam-5462	224	7	when	when	SCONJ
ejpam-5462	224	8	the	the	DET
ejpam-5462	224	9	noise	noise	NOUN
ejpam-5462	224	10	is	be	AUX
ejpam-5462	224	11	absent	absent	ADJ
ejpam-5462	224	12	(	(	PUNCT
ejpam-5462	224	13	i.e.	i.e.	X
ejpam-5462	224	14	,	,	PUNCT
ejpam-5462	224	15	when	when	SCONJ
ejpam-5462	224	16	σ	σ	PROPN
ejpam-5462	224	17	=	=	NOUN
ejpam-5462	224	18	0.5	0.5	NUM
ejpam-5462	224	19	)	)	PUNCT
ejpam-5462	224	20	,	,	PUNCT
ejpam-5462	224	21	there	there	PRON
ejpam-5462	224	22	are	be	VERB
ejpam-5462	224	23	more	more	ADV
ejpam-5462	224	24	efficient	efficient	ADJ
ejpam-5462	224	25	forms	form	NOUN
ejpam-5462	224	26	of	of	ADP
ejpam-5462	224	27	white	white	ADJ
ejpam-5462	224	28	noise	noise	NOUN
ejpam-5462	224	29	.	.	PUNCT
ejpam-5462	225	1	nevertheless	nevertheless	ADV
ejpam-5462	225	2	,	,	PUNCT
ejpam-5462	225	3	the	the	DET
ejpam-5462	225	4	presence	presence	NOUN
ejpam-5462	225	5	of	of	ADP
ejpam-5462	225	6	noise	noise	NOUN
ejpam-5462	225	7	leads	lead	VERB
ejpam-5462	225	8	to	to	ADP
ejpam-5462	225	9	the	the	DET
ejpam-5462	225	10	degradation	degradation	NOUN
ejpam-5462	225	11	of	of	ADP
ejpam-5462	225	12	all	all	DET
ejpam-5462	225	13	these	these	DET
ejpam-5462	225	14	solutions	solution	NOUN
ejpam-5462	225	15	,	,	PUNCT
ejpam-5462	225	16	causing	cause	VERB
ejpam-5462	225	17	the	the	DET
ejpam-5462	225	18	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	225	19	behavior	behavior	NOUN
ejpam-5462	225	20	to	to	PART
ejpam-5462	225	21	become	become	VERB
ejpam-5462	225	22	flat	flat	ADJ
ejpam-5462	225	23	as	as	ADP
ejpam-5462	225	24	the	the	DET
ejpam-5462	225	25	magnitude	magnitude	NOUN
ejpam-5462	225	26	of	of	ADP
ejpam-5462	225	27	the	the	DET
ejpam-5462	225	28	noise	noise	NOUN
ejpam-5462	225	29	increments	increment	NOUN
ejpam-5462	225	30	.	.	PUNCT
ejpam-5462	226	1	0	0	NUM
ejpam-5462	227	1	1	1	NUM
ejpam-5462	227	2	2	2	NUM
ejpam-5462	227	3	3	3	NUM
ejpam-5462	227	4	4	4	NUM
ejpam-5462	227	5	5	5	NUM
ejpam-5462	227	6	6	6	NUM
ejpam-5462	227	7	7	7	NUM
ejpam-5462	227	8	8	8	NUM
ejpam-5462	227	9	9	9	NUM
ejpam-5462	227	10	10	10	NUM
ejpam-5462	227	11	t	t	PROPN
ejpam-5462	227	12	-1	-1	PUNCT
ejpam-5462	227	13	-0.5	-0.5	X
ejpam-5462	227	14	0	0	NUM
ejpam-5462	227	15	0.5	0.5	NUM
ejpam-5462	227	16	1	1	NUM
ejpam-5462	227	17	1.5	1.5	NUM
ejpam-5462	227	18	2	2	NUM
ejpam-5462	227	19	2.5	2.5	NUM
ejpam-5462	227	20	3	3	NUM
ejpam-5462	227	21	3.5	3.5	NUM
ejpam-5462	227	22	x	x	SYM
ejpam-5462	227	23	0	0	NUM
ejpam-5462	227	24	1	1	NUM
ejpam-5462	227	25	2	2	NUM
ejpam-5462	227	26	3	3	NUM
ejpam-5462	227	27	4	4	NUM
ejpam-5462	227	28	5	5	NUM
ejpam-5462	227	29	6	6	NUM
ejpam-5462	227	30	7	7	NUM
ejpam-5462	227	31	8	8	NUM
ejpam-5462	227	32	9	9	NUM
ejpam-5462	227	33	10	10	NUM
ejpam-5462	227	34	t	t	PROPN
ejpam-5462	227	35	-1	-1	PUNCT
ejpam-5462	227	36	-0.5	-0.5	X
ejpam-5462	227	37	0	0	NUM
ejpam-5462	227	38	0.5	0.5	NUM
ejpam-5462	227	39	1	1	NUM
ejpam-5462	227	40	1.5	1.5	NUM
ejpam-5462	227	41	2	2	NUM
ejpam-5462	227	42	2.5	2.5	NUM
ejpam-5462	227	43	3	3	NUM
ejpam-5462	227	44	3.5	3.5	NUM
ejpam-5462	227	45	x	x	NOUN
ejpam-5462	227	46	figure	figure	NOUN
ejpam-5462	227	47	1	1	NUM
ejpam-5462	227	48	:	:	PUNCT
ejpam-5462	227	49	shows	show	VERB
ejpam-5462	227	50	a	a	DET
ejpam-5462	227	51	2d	2d	NOUN
ejpam-5462	227	52	for	for	ADP
ejpam-5462	227	53	constant	constant	ADJ
ejpam-5462	227	54	and	and	CCONJ
ejpam-5462	227	55	variable	variable	ADJ
ejpam-5462	227	56	fractional	fractional	ADJ
ejpam-5462	227	57	order	order	NOUN
ejpam-5462	227	58	values	value	NOUN
ejpam-5462	227	59	for	for	ADP
ejpam-5462	227	60	different	different	ADJ
ejpam-5462	227	61	σ	σ	NOUN
ejpam-5462	227	62	=	=	SYM
ejpam-5462	227	63	0	0	NUM
ejpam-5462	227	64	,	,	PUNCT
ejpam-5462	227	65	0.2	0.2	NUM
ejpam-5462	227	66	,	,	PUNCT
ejpam-5462	227	67	0.5	0.5	NUM
ejpam-5462	227	68	.	.	PUNCT
ejpam-5462	228	1	m.	m.	NOUN
ejpam-5462	228	2	berir	berir	NOUN
ejpam-5462	228	3	/	/	SYM
ejpam-5462	228	4	eur	eur	PROPN
ejpam-5462	228	5	.	.	PUNCT
ejpam-5462	229	1	j.	j.	PROPN
ejpam-5462	229	2	pure	pure	PROPN
ejpam-5462	229	3	appl	appl	PROPN
ejpam-5462	229	4	.	.	PROPN
ejpam-5462	229	5	math	math	PROPN
ejpam-5462	229	6	,	,	PUNCT
ejpam-5462	229	7	17	17	NUM
ejpam-5462	229	8	(	(	PUNCT
ejpam-5462	229	9	4	4	NUM
ejpam-5462	229	10	)	)	PUNCT
ejpam-5462	229	11	(	(	PUNCT
ejpam-5462	229	12	2024	2024	NUM
ejpam-5462	229	13	)	)	PUNCT
ejpam-5462	229	14	,	,	PUNCT
ejpam-5462	229	15	3915	3915	NUM
ejpam-5462	229	16	-	-	SYM
ejpam-5462	229	17	3931	3931	NUM
ejpam-5462	229	18	3924	3924	NUM
ejpam-5462	229	19	-4	-4	PUNCT
ejpam-5462	229	20	-3	-3	PUNCT
ejpam-5462	230	1	-2	-2	INTJ
ejpam-5462	231	1	-1	-1	SYM
ejpam-5462	231	2	0	0	NUM
ejpam-5462	231	3	1	1	NUM
ejpam-5462	231	4	2	2	NUM
ejpam-5462	231	5	3	3	NUM
ejpam-5462	231	6	4	4	NUM
ejpam-5462	231	7	x	x	SYM
ejpam-5462	231	8	-2	-2	NOUN
ejpam-5462	231	9	-1	-1	SYM
ejpam-5462	231	10	0	0	NUM
ejpam-5462	232	1	1	1	NUM
ejpam-5462	232	2	2	2	NUM
ejpam-5462	232	3	3	3	NUM
ejpam-5462	232	4	4	4	NUM
ejpam-5462	232	5	y	y	PROPN
ejpam-5462	232	6	constant	constant	ADJ
ejpam-5462	232	7	fractional	fractional	ADJ
ejpam-5462	232	8	-	-	PUNCT
ejpam-5462	232	9	order	order	NOUN
ejpam-5462	232	10	with	with	ADP
ejpam-5462	232	11	white	white	ADJ
ejpam-5462	232	12	noise	noise	NOUN
ejpam-5462	232	13	-4	-4	INTJ
ejpam-5462	232	14	-3	-3	INTJ
ejpam-5462	232	15	-2	-2	INTJ
ejpam-5462	232	16	-1	-1	SYM
ejpam-5462	232	17	0	0	NUM
ejpam-5462	232	18	1	1	NUM
ejpam-5462	232	19	2	2	NUM
ejpam-5462	232	20	3	3	NUM
ejpam-5462	232	21	4	4	NUM
ejpam-5462	232	22	x	x	SYM
ejpam-5462	232	23	-2	-2	NOUN
ejpam-5462	232	24	-1	-1	SYM
ejpam-5462	232	25	0	0	NUM
ejpam-5462	232	26	1	1	NUM
ejpam-5462	232	27	2	2	NUM
ejpam-5462	232	28	3	3	NUM
ejpam-5462	232	29	4	4	NUM
ejpam-5462	232	30	y	y	PROPN
ejpam-5462	232	31	variable	variable	ADJ
ejpam-5462	232	32	fractional	fractional	ADJ
ejpam-5462	232	33	-	-	PUNCT
ejpam-5462	232	34	order	order	NOUN
ejpam-5462	232	35	with	with	ADP
ejpam-5462	232	36	white	white	ADJ
ejpam-5462	232	37	noise	noise	NOUN
ejpam-5462	232	38	-4	-4	INTJ
ejpam-5462	232	39	-3	-3	INTJ
ejpam-5462	233	1	-2	-2	INTJ
ejpam-5462	234	1	-1	-1	SYM
ejpam-5462	234	2	0	0	NUM
ejpam-5462	235	1	1	1	NUM
ejpam-5462	235	2	2	2	NUM
ejpam-5462	235	3	3	3	NUM
ejpam-5462	235	4	4	4	NUM
ejpam-5462	235	5	x	x	SYM
ejpam-5462	235	6	-2	-2	NOUN
ejpam-5462	235	7	-1.5	-1.5	NUM
ejpam-5462	235	8	-1	-1	PROPN
ejpam-5462	236	1	-0.5	-0.5	X
ejpam-5462	236	2	0	0	NUM
ejpam-5462	236	3	0.5	0.5	NUM
ejpam-5462	236	4	1	1	NUM
ejpam-5462	236	5	1.5	1.5	NUM
ejpam-5462	236	6	2	2	NUM
ejpam-5462	236	7	z	z	NOUN
ejpam-5462	236	8	constant	constant	ADJ
ejpam-5462	236	9	fractional	fractional	ADJ
ejpam-5462	236	10	-	-	PUNCT
ejpam-5462	236	11	order	order	NOUN
ejpam-5462	236	12	with	with	ADP
ejpam-5462	236	13	white	white	ADJ
ejpam-5462	236	14	noise	noise	NOUN
ejpam-5462	236	15	-4	-4	INTJ
ejpam-5462	236	16	-3	-3	INTJ
ejpam-5462	236	17	-2	-2	INTJ
ejpam-5462	237	1	-1	-1	SYM
ejpam-5462	237	2	0	0	NUM
ejpam-5462	238	1	1	1	NUM
ejpam-5462	238	2	2	2	NUM
ejpam-5462	238	3	3	3	NUM
ejpam-5462	238	4	4	4	NUM
ejpam-5462	238	5	x	x	SYM
ejpam-5462	238	6	-2	-2	NOUN
ejpam-5462	238	7	-1.5	-1.5	NUM
ejpam-5462	238	8	-1	-1	PROPN
ejpam-5462	239	1	-0.5	-0.5	X
ejpam-5462	239	2	0	0	NUM
ejpam-5462	239	3	0.5	0.5	NUM
ejpam-5462	239	4	1	1	NUM
ejpam-5462	239	5	1.5	1.5	NUM
ejpam-5462	239	6	2	2	NUM
ejpam-5462	239	7	z	z	NOUN
ejpam-5462	239	8	variable	variable	ADJ
ejpam-5462	239	9	fractional	fractional	ADJ
ejpam-5462	239	10	-	-	PUNCT
ejpam-5462	239	11	order	order	NOUN
ejpam-5462	239	12	with	with	ADP
ejpam-5462	239	13	white	white	ADJ
ejpam-5462	239	14	noise	noise	NOUN
ejpam-5462	239	15	-2	-2	INTJ
ejpam-5462	240	1	-1	-1	SYM
ejpam-5462	240	2	0	0	NUM
ejpam-5462	241	1	1	1	NUM
ejpam-5462	241	2	2	2	NUM
ejpam-5462	241	3	3	3	NUM
ejpam-5462	241	4	4	4	NUM
ejpam-5462	241	5	y	y	NOUN
ejpam-5462	241	6	-2	-2	INTJ
ejpam-5462	241	7	-1.5	-1.5	NUM
ejpam-5462	241	8	-1	-1	PROPN
ejpam-5462	242	1	-0.5	-0.5	X
ejpam-5462	242	2	0	0	NUM
ejpam-5462	242	3	0.5	0.5	NUM
ejpam-5462	242	4	1	1	NUM
ejpam-5462	242	5	1.5	1.5	NUM
ejpam-5462	242	6	2	2	NUM
ejpam-5462	242	7	z	z	NOUN
ejpam-5462	242	8	constant	constant	ADJ
ejpam-5462	242	9	fractional	fractional	ADJ
ejpam-5462	242	10	-	-	PUNCT
ejpam-5462	242	11	order	order	NOUN
ejpam-5462	242	12	with	with	ADP
ejpam-5462	242	13	white	white	ADJ
ejpam-5462	242	14	noise	noise	NOUN
ejpam-5462	242	15	-2	-2	INTJ
ejpam-5462	243	1	-1	-1	SYM
ejpam-5462	243	2	0	0	NUM
ejpam-5462	244	1	1	1	NUM
ejpam-5462	244	2	2	2	NUM
ejpam-5462	244	3	3	3	NUM
ejpam-5462	244	4	4	4	NUM
ejpam-5462	244	5	y	y	NOUN
ejpam-5462	244	6	-2	-2	INTJ
ejpam-5462	244	7	-1.5	-1.5	NUM
ejpam-5462	244	8	-1	-1	PROPN
ejpam-5462	245	1	-0.5	-0.5	X
ejpam-5462	245	2	0	0	NUM
ejpam-5462	245	3	0.5	0.5	NUM
ejpam-5462	245	4	1	1	NUM
ejpam-5462	245	5	1.5	1.5	NUM
ejpam-5462	245	6	2	2	NUM
ejpam-5462	245	7	z	z	NOUN
ejpam-5462	245	8	variable	variable	ADJ
ejpam-5462	245	9	fractional	fractional	ADJ
ejpam-5462	245	10	-	-	PUNCT
ejpam-5462	245	11	order	order	NOUN
ejpam-5462	245	12	with	with	ADP
ejpam-5462	245	13	white	white	ADJ
ejpam-5462	245	14	noise	noise	NOUN
ejpam-5462	245	15	figure	figure	NOUN
ejpam-5462	245	16	2	2	NUM
ejpam-5462	245	17	:	:	PUNCT
ejpam-5462	245	18	present	present	ADJ
ejpam-5462	245	19	comparison	comparison	NOUN
ejpam-5462	245	20	between	between	ADP
ejpam-5462	245	21	constant	constant	ADJ
ejpam-5462	245	22	and	and	CCONJ
ejpam-5462	245	23	variable	variable	ADJ
ejpam-5462	245	24	fractional	fractional	ADJ
ejpam-5462	245	25	order	order	NOUN
ejpam-5462	245	26	at	at	ADP
ejpam-5462	245	27	σ	σ	PROPN
ejpam-5462	245	28	=	=	SYM
ejpam-5462	245	29	0	0	PROPN
ejpam-5462	245	30	.	.	PUNCT
ejpam-5462	245	31	m.	m.	NOUN
ejpam-5462	245	32	berir	berir	NOUN
ejpam-5462	245	33	/	/	SYM
ejpam-5462	245	34	eur	eur	PROPN
ejpam-5462	245	35	.	.	PUNCT
ejpam-5462	246	1	j.	j.	PROPN
ejpam-5462	246	2	pure	pure	PROPN
ejpam-5462	246	3	appl	appl	PROPN
ejpam-5462	246	4	.	.	PROPN
ejpam-5462	246	5	math	math	PROPN
ejpam-5462	246	6	,	,	PUNCT
ejpam-5462	246	7	17	17	NUM
ejpam-5462	246	8	(	(	PUNCT
ejpam-5462	246	9	4	4	NUM
ejpam-5462	246	10	)	)	PUNCT
ejpam-5462	246	11	(	(	PUNCT
ejpam-5462	246	12	2024	2024	NUM
ejpam-5462	246	13	)	)	PUNCT
ejpam-5462	246	14	,	,	PUNCT
ejpam-5462	246	15	3915	3915	NUM
ejpam-5462	246	16	-	-	SYM
ejpam-5462	246	17	3931	3931	NUM
ejpam-5462	246	18	3925	3925	NUM
ejpam-5462	246	19	-3	-3	PUNCT
ejpam-5462	246	20	-2	-2	INTJ
ejpam-5462	247	1	-1	-1	SYM
ejpam-5462	247	2	0	0	NUM
ejpam-5462	247	3	1	1	NUM
ejpam-5462	247	4	2	2	NUM
ejpam-5462	247	5	3	3	NUM
ejpam-5462	247	6	4	4	NUM
ejpam-5462	247	7	x	x	SYM
ejpam-5462	247	8	-2	-2	NOUN
ejpam-5462	247	9	-1	-1	SYM
ejpam-5462	247	10	0	0	NUM
ejpam-5462	247	11	1	1	NUM
ejpam-5462	247	12	2	2	NUM
ejpam-5462	247	13	3	3	NUM
ejpam-5462	247	14	4	4	NUM
ejpam-5462	247	15	5	5	NUM
ejpam-5462	247	16	y	y	PROPN
ejpam-5462	247	17	constant	constant	ADJ
ejpam-5462	247	18	fractional	fractional	ADJ
ejpam-5462	247	19	-	-	PUNCT
ejpam-5462	247	20	order	order	NOUN
ejpam-5462	247	21	with	with	ADP
ejpam-5462	247	22	white	white	ADJ
ejpam-5462	247	23	noise	noise	NOUN
ejpam-5462	247	24	-4	-4	INTJ
ejpam-5462	247	25	-3	-3	INTJ
ejpam-5462	247	26	-2	-2	INTJ
ejpam-5462	247	27	-1	-1	SYM
ejpam-5462	247	28	0	0	NUM
ejpam-5462	247	29	1	1	NUM
ejpam-5462	247	30	2	2	NUM
ejpam-5462	247	31	3	3	NUM
ejpam-5462	247	32	4	4	NUM
ejpam-5462	247	33	x	x	SYM
ejpam-5462	247	34	-3	-3	NOUN
ejpam-5462	247	35	-2	-2	INTJ
ejpam-5462	247	36	-1	-1	SYM
ejpam-5462	247	37	0	0	NUM
ejpam-5462	247	38	1	1	NUM
ejpam-5462	247	39	2	2	NUM
ejpam-5462	247	40	3	3	NUM
ejpam-5462	247	41	4	4	NUM
ejpam-5462	247	42	5	5	NUM
ejpam-5462	247	43	y	y	PROPN
ejpam-5462	247	44	variable	variable	ADJ
ejpam-5462	247	45	fractional	fractional	ADJ
ejpam-5462	247	46	-	-	PUNCT
ejpam-5462	247	47	order	order	NOUN
ejpam-5462	247	48	with	with	ADP
ejpam-5462	247	49	white	white	ADJ
ejpam-5462	247	50	noise	noise	NOUN
ejpam-5462	247	51	-2	-2	INTJ
ejpam-5462	247	52	-1	-1	SYM
ejpam-5462	247	53	0	0	NUM
ejpam-5462	247	54	1	1	NUM
ejpam-5462	247	55	2	2	NUM
ejpam-5462	247	56	3	3	NUM
ejpam-5462	247	57	4	4	NUM
ejpam-5462	247	58	x	x	SYM
ejpam-5462	247	59	-1.5	-1.5	PUNCT
ejpam-5462	247	60	-1	-1	PROPN
ejpam-5462	247	61	-0.5	-0.5	X
ejpam-5462	247	62	0	0	NUM
ejpam-5462	247	63	0.5	0.5	NUM
ejpam-5462	247	64	1	1	NUM
ejpam-5462	247	65	1.5	1.5	NUM
ejpam-5462	247	66	z	z	NOUN
ejpam-5462	247	67	constant	constant	ADJ
ejpam-5462	247	68	fractional	fractional	ADJ
ejpam-5462	247	69	-	-	PUNCT
ejpam-5462	247	70	order	order	NOUN
ejpam-5462	247	71	with	with	ADP
ejpam-5462	247	72	white	white	ADJ
ejpam-5462	247	73	noise	noise	NOUN
ejpam-5462	247	74	-4	-4	INTJ
ejpam-5462	247	75	-3	-3	INTJ
ejpam-5462	247	76	-2	-2	INTJ
ejpam-5462	248	1	-1	-1	SYM
ejpam-5462	248	2	0	0	NUM
ejpam-5462	249	1	1	1	NUM
ejpam-5462	249	2	2	2	NUM
ejpam-5462	249	3	3	3	NUM
ejpam-5462	249	4	4	4	NUM
ejpam-5462	249	5	x	x	SYM
ejpam-5462	249	6	-2	-2	NOUN
ejpam-5462	249	7	-1.5	-1.5	NUM
ejpam-5462	249	8	-1	-1	PROPN
ejpam-5462	250	1	-0.5	-0.5	X
ejpam-5462	250	2	0	0	NUM
ejpam-5462	250	3	0.5	0.5	NUM
ejpam-5462	250	4	1	1	NUM
ejpam-5462	250	5	1.5	1.5	NUM
ejpam-5462	250	6	2	2	NUM
ejpam-5462	250	7	z	z	NOUN
ejpam-5462	250	8	variable	variable	ADJ
ejpam-5462	250	9	fractional	fractional	ADJ
ejpam-5462	250	10	-	-	PUNCT
ejpam-5462	250	11	order	order	NOUN
ejpam-5462	250	12	with	with	ADP
ejpam-5462	250	13	white	white	ADJ
ejpam-5462	250	14	noise	noise	NOUN
ejpam-5462	250	15	-1	-1	NOUN
ejpam-5462	250	16	0	0	NUM
ejpam-5462	250	17	1	1	NUM
ejpam-5462	250	18	2	2	NUM
ejpam-5462	250	19	3	3	NUM
ejpam-5462	250	20	4	4	NUM
ejpam-5462	250	21	5	5	NUM
ejpam-5462	250	22	y	y	NOUN
ejpam-5462	250	23	-1.5	-1.5	PUNCT
ejpam-5462	250	24	-1	-1	PROPN
ejpam-5462	250	25	-0.5	-0.5	X
ejpam-5462	250	26	0	0	NUM
ejpam-5462	250	27	0.5	0.5	NUM
ejpam-5462	250	28	1	1	NUM
ejpam-5462	250	29	1.5	1.5	NUM
ejpam-5462	250	30	z	z	NOUN
ejpam-5462	250	31	constant	constant	ADJ
ejpam-5462	250	32	fractional	fractional	ADJ
ejpam-5462	250	33	-	-	PUNCT
ejpam-5462	250	34	order	order	NOUN
ejpam-5462	250	35	with	with	ADP
ejpam-5462	250	36	white	white	ADJ
ejpam-5462	250	37	noise	noise	NOUN
ejpam-5462	250	38	-3	-3	PUNCT
ejpam-5462	250	39	-2	-2	INTJ
ejpam-5462	250	40	-1	-1	SYM
ejpam-5462	250	41	0	0	NUM
ejpam-5462	250	42	1	1	NUM
ejpam-5462	250	43	2	2	NUM
ejpam-5462	250	44	3	3	NUM
ejpam-5462	250	45	4	4	NUM
ejpam-5462	250	46	5	5	NUM
ejpam-5462	250	47	y	y	NOUN
ejpam-5462	250	48	-2	-2	INTJ
ejpam-5462	251	1	-1.5	-1.5	NUM
ejpam-5462	251	2	-1	-1	PROPN
ejpam-5462	251	3	-0.5	-0.5	X
ejpam-5462	251	4	0	0	NUM
ejpam-5462	251	5	0.5	0.5	NUM
ejpam-5462	251	6	1	1	NUM
ejpam-5462	251	7	1.5	1.5	NUM
ejpam-5462	251	8	2	2	NUM
ejpam-5462	251	9	z	z	NOUN
ejpam-5462	251	10	variable	variable	ADJ
ejpam-5462	251	11	fractional	fractional	ADJ
ejpam-5462	251	12	-	-	PUNCT
ejpam-5462	251	13	order	order	NOUN
ejpam-5462	251	14	with	with	ADP
ejpam-5462	251	15	white	white	ADJ
ejpam-5462	251	16	noise	noise	NOUN
ejpam-5462	251	17	figure	figure	NOUN
ejpam-5462	251	18	3	3	NUM
ejpam-5462	251	19	:	:	PUNCT
ejpam-5462	251	20	present	present	ADJ
ejpam-5462	251	21	comparison	comparison	NOUN
ejpam-5462	251	22	between	between	ADP
ejpam-5462	251	23	constant	constant	ADJ
ejpam-5462	251	24	and	and	CCONJ
ejpam-5462	251	25	variable	variable	ADJ
ejpam-5462	251	26	fractional	fractional	ADJ
ejpam-5462	251	27	order	order	NOUN
ejpam-5462	251	28	at	at	ADP
ejpam-5462	251	29	σ	σ	PROPN
ejpam-5462	251	30	=	=	PROPN
ejpam-5462	251	31	0.2	0.2	NUM
ejpam-5462	251	32	.	.	PUNCT
ejpam-5462	252	1	m.	m.	NOUN
ejpam-5462	252	2	berir	berir	NOUN
ejpam-5462	252	3	/	/	SYM
ejpam-5462	252	4	eur	eur	PROPN
ejpam-5462	252	5	.	.	PUNCT
ejpam-5462	253	1	j.	j.	PROPN
ejpam-5462	253	2	pure	pure	PROPN
ejpam-5462	253	3	appl	appl	PROPN
ejpam-5462	253	4	.	.	PROPN
ejpam-5462	253	5	math	math	PROPN
ejpam-5462	253	6	,	,	PUNCT
ejpam-5462	253	7	17	17	NUM
ejpam-5462	253	8	(	(	PUNCT
ejpam-5462	253	9	4	4	NUM
ejpam-5462	253	10	)	)	PUNCT
ejpam-5462	253	11	(	(	PUNCT
ejpam-5462	253	12	2024	2024	NUM
ejpam-5462	253	13	)	)	PUNCT
ejpam-5462	253	14	,	,	PUNCT
ejpam-5462	253	15	3915	3915	NUM
ejpam-5462	253	16	-	-	SYM
ejpam-5462	253	17	3931	3931	NUM
ejpam-5462	253	18	3926	3926	NUM
ejpam-5462	253	19	-4	-4	PUNCT
ejpam-5462	253	20	-3	-3	INTJ
ejpam-5462	254	1	-2	-2	INTJ
ejpam-5462	254	2	-1	-1	SYM
ejpam-5462	254	3	0	0	NUM
ejpam-5462	254	4	1	1	NUM
ejpam-5462	254	5	2	2	NUM
ejpam-5462	254	6	3	3	NUM
ejpam-5462	254	7	4	4	NUM
ejpam-5462	254	8	5	5	NUM
ejpam-5462	254	9	x	x	SYM
ejpam-5462	254	10	-2	-2	NOUN
ejpam-5462	254	11	-1	-1	SYM
ejpam-5462	254	12	0	0	NUM
ejpam-5462	254	13	1	1	NUM
ejpam-5462	254	14	2	2	NUM
ejpam-5462	254	15	3	3	NUM
ejpam-5462	254	16	4	4	NUM
ejpam-5462	254	17	5	5	NUM
ejpam-5462	254	18	y	y	PROPN
ejpam-5462	254	19	constant	constant	ADJ
ejpam-5462	254	20	fractional	fractional	ADJ
ejpam-5462	254	21	-	-	PUNCT
ejpam-5462	254	22	order	order	NOUN
ejpam-5462	254	23	with	with	ADP
ejpam-5462	254	24	white	white	ADJ
ejpam-5462	254	25	noise	noise	NOUN
ejpam-5462	254	26	-4	-4	INTJ
ejpam-5462	254	27	-3	-3	INTJ
ejpam-5462	254	28	-2	-2	INTJ
ejpam-5462	254	29	-1	-1	SYM
ejpam-5462	254	30	0	0	NUM
ejpam-5462	254	31	1	1	NUM
ejpam-5462	254	32	2	2	NUM
ejpam-5462	254	33	3	3	NUM
ejpam-5462	254	34	4	4	NUM
ejpam-5462	254	35	x	x	SYM
ejpam-5462	254	36	-3	-3	NOUN
ejpam-5462	254	37	-2	-2	INTJ
ejpam-5462	254	38	-1	-1	SYM
ejpam-5462	254	39	0	0	NUM
ejpam-5462	254	40	1	1	NUM
ejpam-5462	254	41	2	2	NUM
ejpam-5462	254	42	3	3	NUM
ejpam-5462	254	43	4	4	NUM
ejpam-5462	254	44	5	5	NUM
ejpam-5462	254	45	y	y	PROPN
ejpam-5462	254	46	variable	variable	ADJ
ejpam-5462	254	47	fractional	fractional	ADJ
ejpam-5462	254	48	-	-	PUNCT
ejpam-5462	254	49	order	order	NOUN
ejpam-5462	254	50	with	with	ADP
ejpam-5462	254	51	white	white	ADJ
ejpam-5462	254	52	noise	noise	NOUN
ejpam-5462	254	53	-4	-4	INTJ
ejpam-5462	254	54	-3	-3	INTJ
ejpam-5462	254	55	-2	-2	INTJ
ejpam-5462	254	56	-1	-1	SYM
ejpam-5462	254	57	0	0	NUM
ejpam-5462	254	58	1	1	NUM
ejpam-5462	254	59	2	2	NUM
ejpam-5462	254	60	3	3	NUM
ejpam-5462	254	61	4	4	NUM
ejpam-5462	254	62	5	5	NUM
ejpam-5462	254	63	x	x	SYM
ejpam-5462	254	64	-2.5	-2.5	ADJ
ejpam-5462	254	65	-2	-2	INTJ
ejpam-5462	254	66	-1.5	-1.5	NUM
ejpam-5462	254	67	-1	-1	PROPN
ejpam-5462	254	68	-0.5	-0.5	X
ejpam-5462	254	69	0	0	NUM
ejpam-5462	254	70	0.5	0.5	NUM
ejpam-5462	254	71	1	1	NUM
ejpam-5462	254	72	1.5	1.5	NUM
ejpam-5462	254	73	2	2	NUM
ejpam-5462	254	74	z	z	NOUN
ejpam-5462	254	75	constant	constant	ADJ
ejpam-5462	254	76	fractional	fractional	ADJ
ejpam-5462	254	77	-	-	PUNCT
ejpam-5462	254	78	order	order	NOUN
ejpam-5462	254	79	with	with	ADP
ejpam-5462	254	80	white	white	ADJ
ejpam-5462	254	81	noise	noise	NOUN
ejpam-5462	254	82	-4	-4	INTJ
ejpam-5462	254	83	-3	-3	INTJ
ejpam-5462	254	84	-2	-2	INTJ
ejpam-5462	255	1	-1	-1	SYM
ejpam-5462	255	2	0	0	NUM
ejpam-5462	256	1	1	1	NUM
ejpam-5462	256	2	2	2	NUM
ejpam-5462	256	3	3	3	NUM
ejpam-5462	256	4	4	4	NUM
ejpam-5462	256	5	x	x	SYM
ejpam-5462	256	6	-2	-2	NOUN
ejpam-5462	256	7	-1.5	-1.5	NUM
ejpam-5462	256	8	-1	-1	PROPN
ejpam-5462	257	1	-0.5	-0.5	X
ejpam-5462	257	2	0	0	NUM
ejpam-5462	257	3	0.5	0.5	NUM
ejpam-5462	257	4	1	1	NUM
ejpam-5462	257	5	1.5	1.5	NUM
ejpam-5462	257	6	2	2	NUM
ejpam-5462	257	7	z	z	NOUN
ejpam-5462	257	8	variable	variable	ADJ
ejpam-5462	257	9	fractional	fractional	ADJ
ejpam-5462	257	10	-	-	PUNCT
ejpam-5462	257	11	order	order	NOUN
ejpam-5462	257	12	with	with	ADP
ejpam-5462	257	13	white	white	ADJ
ejpam-5462	257	14	noise	noise	NOUN
ejpam-5462	257	15	figure	figure	NOUN
ejpam-5462	257	16	4	4	NUM
ejpam-5462	257	17	:	:	PUNCT
ejpam-5462	257	18	-2	-2	NOUN
ejpam-5462	257	19	-1	-1	SYM
ejpam-5462	257	20	0	0	NUM
ejpam-5462	257	21	1	1	NUM
ejpam-5462	257	22	2	2	NUM
ejpam-5462	257	23	3	3	NUM
ejpam-5462	257	24	4	4	NUM
ejpam-5462	257	25	5	5	NUM
ejpam-5462	257	26	y	y	PROPN
ejpam-5462	257	27	-2.5	-2.5	ADJ
ejpam-5462	258	1	-2	-2	INTJ
ejpam-5462	258	2	-1.5	-1.5	NUM
ejpam-5462	259	1	-1	-1	PROPN
ejpam-5462	259	2	-0.5	-0.5	X
ejpam-5462	259	3	0	0	NUM
ejpam-5462	259	4	0.5	0.5	NUM
ejpam-5462	259	5	1	1	NUM
ejpam-5462	259	6	1.5	1.5	NUM
ejpam-5462	259	7	2	2	NUM
ejpam-5462	259	8	z	z	NOUN
ejpam-5462	259	9	constant	constant	ADJ
ejpam-5462	259	10	fractional	fractional	ADJ
ejpam-5462	259	11	-	-	PUNCT
ejpam-5462	259	12	order	order	NOUN
ejpam-5462	259	13	with	with	ADP
ejpam-5462	259	14	white	white	ADJ
ejpam-5462	259	15	noise	noise	NOUN
ejpam-5462	259	16	-3	-3	PUNCT
ejpam-5462	259	17	-2	-2	INTJ
ejpam-5462	259	18	-1	-1	SYM
ejpam-5462	259	19	0	0	NUM
ejpam-5462	259	20	1	1	NUM
ejpam-5462	259	21	2	2	NUM
ejpam-5462	259	22	3	3	NUM
ejpam-5462	259	23	4	4	NUM
ejpam-5462	259	24	5	5	NUM
ejpam-5462	259	25	y	y	NOUN
ejpam-5462	259	26	-2	-2	INTJ
ejpam-5462	260	1	-1.5	-1.5	NUM
ejpam-5462	260	2	-1	-1	PROPN
ejpam-5462	260	3	-0.5	-0.5	X
ejpam-5462	260	4	0	0	NUM
ejpam-5462	260	5	0.5	0.5	NUM
ejpam-5462	260	6	1	1	NUM
ejpam-5462	260	7	1.5	1.5	NUM
ejpam-5462	260	8	2	2	NUM
ejpam-5462	260	9	z	z	NOUN
ejpam-5462	260	10	variable	variable	ADJ
ejpam-5462	260	11	fractional	fractional	ADJ
ejpam-5462	260	12	-	-	PUNCT
ejpam-5462	260	13	order	order	NOUN
ejpam-5462	260	14	with	with	ADP
ejpam-5462	260	15	white	white	ADJ
ejpam-5462	260	16	noise	noise	NOUN
ejpam-5462	260	17	figure	figure	NOUN
ejpam-5462	260	18	5	5	NUM
ejpam-5462	260	19	:	:	PUNCT
ejpam-5462	260	20	present	present	ADJ
ejpam-5462	260	21	comparison	comparison	NOUN
ejpam-5462	260	22	between	between	ADP
ejpam-5462	260	23	constant	constant	ADJ
ejpam-5462	260	24	and	and	CCONJ
ejpam-5462	260	25	variable	variable	ADJ
ejpam-5462	260	26	fractional	fractional	ADJ
ejpam-5462	260	27	order	order	NOUN
ejpam-5462	260	28	at	at	ADP
ejpam-5462	260	29	σ	σ	PROPN
ejpam-5462	260	30	=	=	SYM
ejpam-5462	260	31	0.5	0.5	NUM
ejpam-5462	260	32	.	.	PUNCT
ejpam-5462	260	33	references	reference	NOUN
ejpam-5462	260	34	3927	3927	NUM
ejpam-5462	260	35	6	6	NUM
ejpam-5462	260	36	.	.	PUNCT
ejpam-5462	260	37	conclusion	conclusion	NOUN
ejpam-5462	260	38	in	in	ADP
ejpam-5462	260	39	this	this	DET
ejpam-5462	260	40	study	study	NOUN
ejpam-5462	260	41	,	,	PUNCT
ejpam-5462	260	42	a	a	DET
ejpam-5462	260	43	comparative	comparative	ADJ
ejpam-5462	260	44	examination	examination	NOUN
ejpam-5462	260	45	of	of	ADP
ejpam-5462	260	46	how	how	SCONJ
ejpam-5462	260	47	white	white	ADJ
ejpam-5462	260	48	noise	noise	NOUN
ejpam-5462	260	49	affects	affect	VERB
ejpam-5462	260	50	chaotic	chaotic	ADJ
ejpam-5462	260	51	behavior	behavior	NOUN
ejpam-5462	260	52	in	in	ADP
ejpam-5462	260	53	a	a	DET
ejpam-5462	260	54	financial	financial	ADJ
ejpam-5462	260	55	fractional	fractional	ADJ
ejpam-5462	260	56	system	system	NOUN
ejpam-5462	260	57	considering	consider	VERB
ejpam-5462	260	58	both	both	CCONJ
ejpam-5462	260	59	constant	constant	ADJ
ejpam-5462	260	60	and	and	CCONJ
ejpam-5462	260	61	changing	change	VERB
ejpam-5462	260	62	orders	order	NOUN
ejpam-5462	260	63	.	.	PUNCT
ejpam-5462	261	1	the	the	DET
ejpam-5462	261	2	study	study	NOUN
ejpam-5462	261	3	demonstrates	demonstrate	VERB
ejpam-5462	261	4	that	that	SCONJ
ejpam-5462	261	5	systems	system	NOUN
ejpam-5462	261	6	with	with	ADP
ejpam-5462	261	7	changeable	changeable	ADJ
ejpam-5462	261	8	orders	order	NOUN
ejpam-5462	261	9	have	have	VERB
ejpam-5462	261	10	intricate	intricate	ADJ
ejpam-5462	261	11	dynamics	dynamic	NOUN
ejpam-5462	261	12	and	and	CCONJ
ejpam-5462	261	13	are	be	AUX
ejpam-5462	261	14	highly	highly	ADV
ejpam-5462	261	15	responsive	responsive	ADJ
ejpam-5462	261	16	to	to	ADP
ejpam-5462	261	17	stochastic	stochastic	ADJ
ejpam-5462	261	18	disturbances	disturbance	NOUN
ejpam-5462	261	19	.	.	PUNCT
ejpam-5462	262	1	this	this	DET
ejpam-5462	262	2	work	work	NOUN
ejpam-5462	262	3	investigated	investigate	VERB
ejpam-5462	262	4	the	the	DET
ejpam-5462	262	5	control	control	NOUN
ejpam-5462	262	6	of	of	ADP
ejpam-5462	262	7	both	both	CCONJ
ejpam-5462	262	8	constantorder	constantorder	NOUN
ejpam-5462	262	9	and	and	CCONJ
ejpam-5462	262	10	variable	variable	ADJ
ejpam-5462	262	11	-	-	PUNCT
ejpam-5462	262	12	order	order	NOUN
ejpam-5462	262	13	fractional	fractional	ADJ
ejpam-5462	262	14	(	(	PUNCT
ejpam-5462	262	15	hs	hs	X
ejpam-5462	262	16	)	)	PUNCT
ejpam-5462	262	17	by	by	ADP
ejpam-5462	262	18	the	the	DET
ejpam-5462	262	19	use	use	NOUN
ejpam-5462	262	20	of	of	ADP
ejpam-5462	262	21	caputo	caputo	PROPN
ejpam-5462	262	22	derivatives	derivative	NOUN
ejpam-5462	262	23	.	.	PUNCT
ejpam-5462	263	1	figures(1–5	figures(1–5	NOUN
ejpam-5462	263	2	)	)	PUNCT
ejpam-5462	263	3	depict	depict	VERB
ejpam-5462	263	4	the	the	DET
ejpam-5462	263	5	chaotic	chaotic	ADJ
ejpam-5462	263	6	dynamics	dynamic	NOUN
ejpam-5462	263	7	of	of	ADP
ejpam-5462	263	8	fractional	fractional	ADJ
ejpam-5462	263	9	order	order	NOUN
ejpam-5462	263	10	caputo	caputo	PROPN
ejpam-5462	263	11	fractional	fractional	PROPN
ejpam-5462	263	12	(	(	PUNCT
ejpam-5462	263	13	hs	hs	X
ejpam-5462	263	14	)	)	PUNCT
ejpam-5462	263	15	with	with	ADP
ejpam-5462	263	16	constant	constant	ADJ
ejpam-5462	263	17	and	and	CCONJ
ejpam-5462	263	18	changing	change	VERB
ejpam-5462	263	19	orders	order	NOUN
ejpam-5462	263	20	.	.	PUNCT
ejpam-5462	264	1	from	from	ADP
ejpam-5462	264	2	our	our	PRON
ejpam-5462	264	3	analysis	analysis	NOUN
ejpam-5462	264	4	of	of	ADP
ejpam-5462	264	5	the	the	DET
ejpam-5462	264	6	images	image	NOUN
ejpam-5462	264	7	,	,	PUNCT
ejpam-5462	264	8	we	we	PRON
ejpam-5462	264	9	deduce	deduce	VERB
ejpam-5462	264	10	that	that	SCONJ
ejpam-5462	264	11	the	the	DET
ejpam-5462	264	12	simulations	simulation	NOUN
ejpam-5462	264	13	emphasize	emphasize	VERB
ejpam-5462	264	14	the	the	DET
ejpam-5462	264	15	distinctions	distinction	NOUN
ejpam-5462	264	16	between	between	ADP
ejpam-5462	264	17	constantand	constantand	NOUN
ejpam-5462	264	18	variable	variable	NOUN
ejpam-5462	264	19	-	-	PUNCT
ejpam-5462	264	20	order	order	NOUN
ejpam-5462	264	21	caputo	caputo	NOUN
ejpam-5462	264	22	derivatives	derivative	NOUN
ejpam-5462	264	23	.	.	PUNCT
ejpam-5462	265	1	changes	change	NOUN
ejpam-5462	265	2	in	in	ADP
ejpam-5462	265	3	the	the	DET
ejpam-5462	265	4	fractional	fractional	ADJ
ejpam-5462	265	5	order	order	NOUN
ejpam-5462	265	6	provide	provide	VERB
ejpam-5462	265	7	intricacy	intricacy	NOUN
ejpam-5462	265	8	to	to	ADP
ejpam-5462	265	9	the	the	DET
ejpam-5462	265	10	chaotic	chaotic	ADJ
ejpam-5462	265	11	behavior	behavior	NOUN
ejpam-5462	265	12	.	.	PUNCT
ejpam-5462	266	1	the	the	DET
ejpam-5462	266	2	caputo	caputo	PROPN
ejpam-5462	266	3	(	(	PUNCT
ejpam-5462	266	4	hs	hs	X
ejpam-5462	266	5	)	)	PUNCT
ejpam-5462	266	6	was	be	AUX
ejpam-5462	266	7	examined	examine	VERB
ejpam-5462	266	8	using	use	VERB
ejpam-5462	266	9	fractional	fractional	ADJ
ejpam-5462	266	10	derivatives	derivative	NOUN
ejpam-5462	266	11	.	.	PUNCT
ejpam-5462	267	1	our	our	PRON
ejpam-5462	267	2	findings	finding	NOUN
ejpam-5462	267	3	indicate	indicate	VERB
ejpam-5462	267	4	that	that	SCONJ
ejpam-5462	267	5	obtaining	obtain	VERB
ejpam-5462	267	6	a	a	DET
ejpam-5462	267	7	comprehensive	comprehensive	ADJ
ejpam-5462	267	8	understanding	understanding	NOUN
ejpam-5462	267	9	of	of	ADP
ejpam-5462	267	10	the	the	DET
ejpam-5462	267	11	chaotic	chaotic	ADJ
ejpam-5462	267	12	regions	region	NOUN
ejpam-5462	267	13	in	in	ADP
ejpam-5462	267	14	(	(	PUNCT
ejpam-5462	267	15	hs	hs	X
ejpam-5462	267	16	)	)	PUNCT
ejpam-5462	267	17	with	with	ADP
ejpam-5462	267	18	variable	variable	ADJ
ejpam-5462	267	19	-	-	PUNCT
ejpam-5462	267	20	order	order	NOUN
ejpam-5462	267	21	fractional	fractional	ADJ
ejpam-5462	267	22	derivatives	derivative	NOUN
ejpam-5462	267	23	is	be	AUX
ejpam-5462	267	24	more	more	ADV
ejpam-5462	267	25	straightforward	straightforward	ADJ
ejpam-5462	267	26	compared	compare	VERB
ejpam-5462	267	27	to	to	ADP
ejpam-5462	267	28	(	(	PUNCT
ejpam-5462	267	29	hs	hs	X
ejpam-5462	267	30	)	)	PUNCT
ejpam-5462	267	31	with	with	ADP
ejpam-5462	267	32	constant	constant	ADJ
ejpam-5462	267	33	-	-	PUNCT
ejpam-5462	267	34	order	order	NOUN
ejpam-5462	267	35	fractional	fractional	ADJ
ejpam-5462	267	36	derivatives	derivative	NOUN
ejpam-5462	267	37	.	.	PUNCT
ejpam-5462	268	1	therefore	therefore	ADV
ejpam-5462	268	2	,	,	PUNCT
ejpam-5462	268	3	the	the	DET
ejpam-5462	268	4	comprehension	comprehension	NOUN
ejpam-5462	268	5	of	of	ADP
ejpam-5462	268	6	the	the	DET
ejpam-5462	268	7	dynamics	dynamic	NOUN
ejpam-5462	268	8	of	of	ADP
ejpam-5462	268	9	a	a	DET
ejpam-5462	268	10	(	(	PUNCT
ejpam-5462	268	11	hs	hs	NOUN
ejpam-5462	268	12	)	)	PUNCT
ejpam-5462	268	13	enhances	enhance	NOUN
ejpam-5462	268	14	when	when	SCONJ
ejpam-5462	268	15	it	it	PRON
ejpam-5462	268	16	incorporates	incorporate	VERB
ejpam-5462	268	17	a	a	DET
ejpam-5462	268	18	variable	variable	ADJ
ejpam-5462	268	19	-	-	PUNCT
ejpam-5462	268	20	order	order	NOUN
ejpam-5462	268	21	fractional	fractional	ADJ
ejpam-5462	268	22	derivative.we	derivative.we	NOUN
ejpam-5462	268	23	found	find	VERB
ejpam-5462	268	24	that	that	SCONJ
ejpam-5462	268	25	the	the	DET
ejpam-5462	268	26	stochastic	stochastic	ADJ
ejpam-5462	268	27	component	component	NOUN
ejpam-5462	268	28	stabilizes	stabilize	VERB
ejpam-5462	268	29	the	the	DET
ejpam-5462	268	30	chaos	chaos	NOUN
ejpam-5462	268	31	of	of	ADP
ejpam-5462	268	32	the	the	DET
ejpam-5462	268	33	financial	financial	ADJ
ejpam-5462	268	34	fractional	fractional	ADJ
ejpam-5462	268	35	system	system	NOUN
ejpam-5462	268	36	at	at	ADP
ejpam-5462	268	37	zero	zero	NUM
ejpam-5462	268	38	.	.	PUNCT
ejpam-5462	269	1	in	in	ADP
ejpam-5462	269	2	the	the	DET
ejpam-5462	269	3	future	future	NOUN
ejpam-5462	269	4	,	,	PUNCT
ejpam-5462	269	5	we	we	PRON
ejpam-5462	269	6	may	may	AUX
ejpam-5462	269	7	investigate	investigate	VERB
ejpam-5462	269	8	the	the	DET
ejpam-5462	269	9	chaotic	chaotic	ADJ
ejpam-5462	269	10	attractors	attractor	NOUN
ejpam-5462	269	11	linked	link	VERB
ejpam-5462	269	12	to	to	ADP
ejpam-5462	269	13	fractional	fractional	ADJ
ejpam-5462	269	14	derivatives	derivative	NOUN
ejpam-5462	269	15	or	or	CCONJ
ejpam-5462	269	16	additive	additive	VERB
ejpam-5462	269	17	noise.in	noise.in	PRON
ejpam-5462	269	18	the	the	DET
ejpam-5462	269	19	future	future	NOUN
ejpam-5462	269	20	,	,	PUNCT
ejpam-5462	269	21	we	we	PRON
ejpam-5462	269	22	may	may	AUX
ejpam-5462	269	23	conduct	conduct	VERB
ejpam-5462	269	24	an	an	DET
ejpam-5462	269	25	investigation	investigation	NOUN
ejpam-5462	269	26	into	into	ADP
ejpam-5462	269	27	the	the	DET
ejpam-5462	269	28	financial	financial	ADJ
ejpam-5462	269	29	fractal	fractal	ADJ
ejpam-5462	269	30	fractional	fractional	ADJ
ejpam-5462	269	31	system	system	NOUN
ejpam-5462	269	32	that	that	PRON
ejpam-5462	269	33	includes	include	VERB
ejpam-5462	269	34	additive	additive	ADJ
ejpam-5462	269	35	noise	noise	NOUN
ejpam-5462	269	36	.	.	PUNCT
ejpam-5462	270	1	references	reference	NOUN
ejpam-5462	270	2	[	[	X
ejpam-5462	270	3	1	1	NUM
ejpam-5462	270	4	]	]	PUNCT
ejpam-5462	270	5	mohammed	mohammed	PROPN
ejpam-5462	270	6	salah	salah	PROPN
ejpam-5462	270	7	abd	abd	PROPN
ejpam-5462	270	8	-	-	PUNCT
ejpam-5462	270	9	elouahab	elouahab	PROPN
ejpam-5462	270	10	,	,	PUNCT
ejpam-5462	270	11	nasr	nasr	PROPN
ejpam-5462	270	12	-	-	PUNCT
ejpam-5462	270	13	eddine	eddine	NOUN
ejpam-5462	270	14	hamri	hamri	NOUN
ejpam-5462	270	15	,	,	PUNCT
ejpam-5462	270	16	and	and	CCONJ
ejpam-5462	270	17	junwei	junwei	PROPN
ejpam-5462	270	18	wang	wang	PROPN
ejpam-5462	270	19	.	.	PUNCT
ejpam-5462	271	1	chaos	chaos	NOUN
ejpam-5462	271	2	control	control	NOUN
ejpam-5462	271	3	of	of	ADP
ejpam-5462	271	4	a	a	DET
ejpam-5462	271	5	fractional	fractional	ADJ
ejpam-5462	271	6	-	-	PUNCT
ejpam-5462	271	7	order	order	NOUN
ejpam-5462	271	8	financial	financial	ADJ
ejpam-5462	271	9	system	system	NOUN
ejpam-5462	271	10	.	.	PUNCT
ejpam-5462	272	1	mathematical	mathematical	ADJ
ejpam-5462	272	2	problems	problem	NOUN
ejpam-5462	272	3	in	in	ADP
ejpam-5462	272	4	engineering	engineering	NOUN
ejpam-5462	272	5	,	,	PUNCT
ejpam-5462	272	6	2010	2010	NUM
ejpam-5462	272	7	,	,	PUNCT
ejpam-5462	272	8	2010	2010	NUM
ejpam-5462	272	9	.	.	PUNCT
ejpam-5462	273	1	[	[	X
ejpam-5462	273	2	2	2	NUM
ejpam-5462	273	3	]	]	PUNCT
ejpam-5462	273	4	mohamed	mohame	VERB
ejpam-5462	273	5	a	a	DET
ejpam-5462	273	6	abdoon	abdoon	NOUN
ejpam-5462	273	7	and	and	CCONJ
ejpam-5462	273	8	abdulrahman	abdulrahman	PROPN
ejpam-5462	273	9	bm	bm	PROPN
ejpam-5462	273	10	alzahrani	alzahrani	PROPN
ejpam-5462	273	11	.	.	PUNCT
ejpam-5462	274	1	comparative	comparative	ADJ
ejpam-5462	274	2	analysis	analysis	NOUN
ejpam-5462	274	3	of	of	ADP
ejpam-5462	274	4	influenza	influenza	NOUN
ejpam-5462	274	5	modeling	modeling	NOUN
ejpam-5462	274	6	using	use	VERB
ejpam-5462	274	7	novel	novel	ADJ
ejpam-5462	274	8	fractional	fractional	ADJ
ejpam-5462	274	9	operators	operator	NOUN
ejpam-5462	274	10	with	with	ADP
ejpam-5462	274	11	real	real	ADJ
ejpam-5462	274	12	data	datum	NOUN
ejpam-5462	274	13	.	.	PUNCT
ejpam-5462	275	1	symmetry	symmetry	NOUN
ejpam-5462	275	2	,	,	PUNCT
ejpam-5462	275	3	16(9):1126	16(9):1126	NUM
ejpam-5462	275	4	,	,	PUNCT
ejpam-5462	275	5	2024	2024	NUM
ejpam-5462	275	6	.	.	PUNCT
ejpam-5462	276	1	[	[	X
ejpam-5462	276	2	3	3	NUM
ejpam-5462	276	3	]	]	PUNCT
ejpam-5462	276	4	mohamed	mohame	VERB
ejpam-5462	276	5	a	a	DET
ejpam-5462	276	6	abdoon	abdoon	NOUN
ejpam-5462	276	7	,	,	PUNCT
ejpam-5462	276	8	mohamed	mohamed	PROPN
ejpam-5462	276	9	elbadri	elbadri	PROPN
ejpam-5462	276	10	,	,	PUNCT
ejpam-5462	276	11	abdulrahman	abdulrahman	PROPN
ejpam-5462	276	12	bm	bm	PROPN
ejpam-5462	276	13	alzahrani	alzahrani	PROPN
ejpam-5462	276	14	,	,	PUNCT
ejpam-5462	276	15	mohammed	mohammed	PROPN
ejpam-5462	276	16	berir	berir	PROPN
ejpam-5462	276	17	,	,	PUNCT
ejpam-5462	276	18	and	and	CCONJ
ejpam-5462	276	19	abubker	abubker	NOUN
ejpam-5462	276	20	ahmed	ahme	VERB
ejpam-5462	276	21	.	.	PUNCT
ejpam-5462	277	1	analyzing	analyze	VERB
ejpam-5462	277	2	the	the	DET
ejpam-5462	277	3	inverted	invert	VERB
ejpam-5462	277	4	fractional	fractional	ADJ
ejpam-5462	277	5	rössler	rössler	NOUN
ejpam-5462	277	6	system	system	NOUN
ejpam-5462	277	7	through	through	ADP
ejpam-5462	277	8	two	two	NUM
ejpam-5462	277	9	approaches	approach	NOUN
ejpam-5462	277	10	:	:	PUNCT
ejpam-5462	277	11	numerical	numerical	ADJ
ejpam-5462	277	12	scheme	scheme	NOUN
ejpam-5462	277	13	and	and	CCONJ
ejpam-5462	277	14	lham	lham	NOUN
ejpam-5462	277	15	analysis	analysis	NOUN
ejpam-5462	277	16	.	.	PUNCT
ejpam-5462	278	1	physica	physica	PROPN
ejpam-5462	278	2	scripta	scripta	PROPN
ejpam-5462	278	3	,	,	PUNCT
ejpam-5462	278	4	2024	2024	NUM
ejpam-5462	278	5	.	.	PUNCT
ejpam-5462	279	1	[	[	X
ejpam-5462	279	2	4	4	NUM
ejpam-5462	279	3	]	]	X
ejpam-5462	279	4	himani	himani	PROPN
ejpam-5462	279	5	agarwal	agarwal	PROPN
ejpam-5462	279	6	,	,	PUNCT
ejpam-5462	279	7	manvendra	manvendra	PROPN
ejpam-5462	279	8	narayan	narayan	PROPN
ejpam-5462	279	9	mishra	mishra	PROPN
ejpam-5462	279	10	,	,	PUNCT
ejpam-5462	279	11	and	and	CCONJ
ejpam-5462	279	12	ravi	ravi	PROPN
ejpam-5462	279	13	shanker	shanker	PROPN
ejpam-5462	279	14	dubey	dubey	PROPN
ejpam-5462	279	15	.	.	PUNCT
ejpam-5462	280	1	on	on	ADP
ejpam-5462	280	2	fractional	fractional	PROPN
ejpam-5462	280	3	caputo	caputo	PROPN
ejpam-5462	280	4	operator	operator	NOUN
ejpam-5462	280	5	for	for	ADP
ejpam-5462	280	6	the	the	DET
ejpam-5462	280	7	generalized	generalize	VERB
ejpam-5462	280	8	glucose	glucose	NOUN
ejpam-5462	280	9	supply	supply	NOUN
ejpam-5462	280	10	model	model	NOUN
ejpam-5462	280	11	via	via	ADP
ejpam-5462	280	12	incomplete	incomplete	ADJ
ejpam-5462	280	13	aleph	aleph	PROPN
ejpam-5462	280	14	function	function	NOUN
ejpam-5462	280	15	.	.	PUNCT
ejpam-5462	281	1	international	international	ADJ
ejpam-5462	281	2	journal	journal	PROPN
ejpam-5462	281	3	of	of	ADP
ejpam-5462	281	4	mathematics	mathematic	NOUN
ejpam-5462	281	5	for	for	ADP
ejpam-5462	281	6	industry	industry	NOUN
ejpam-5462	281	7	,	,	PUNCT
ejpam-5462	281	8	page	page	NOUN
ejpam-5462	281	9	2450003	2450003	NUM
ejpam-5462	281	10	,	,	PUNCT
ejpam-5462	281	11	2024	2024	NUM
ejpam-5462	281	12	.	.	PUNCT
ejpam-5462	282	1	[	[	X
ejpam-5462	282	2	5	5	X
ejpam-5462	282	3	]	]	PUNCT
ejpam-5462	282	4	ibtehal	ibtehal	ADJ
ejpam-5462	282	5	alazman	alazman	NOUN
ejpam-5462	282	6	,	,	PUNCT
ejpam-5462	282	7	manvendra	manvendra	PROPN
ejpam-5462	282	8	narayan	narayan	PROPN
ejpam-5462	282	9	mishra	mishra	PROPN
ejpam-5462	282	10	,	,	PUNCT
ejpam-5462	282	11	badr	badr	PROPN
ejpam-5462	282	12	saad	saad	PROPN
ejpam-5462	282	13	alkahtani	alkahtani	PROPN
ejpam-5462	282	14	,	,	PUNCT
ejpam-5462	282	15	and	and	CCONJ
ejpam-5462	282	16	ravi	ravi	PROPN
ejpam-5462	282	17	shanker	shanker	PROPN
ejpam-5462	282	18	dubey	dubey	PROPN
ejpam-5462	282	19	.	.	PUNCT
ejpam-5462	283	1	analysis	analysis	NOUN
ejpam-5462	283	2	of	of	ADP
ejpam-5462	283	3	infection	infection	NOUN
ejpam-5462	283	4	and	and	CCONJ
ejpam-5462	283	5	diffusion	diffusion	NOUN
ejpam-5462	283	6	coefficient	coefficient	NOUN
ejpam-5462	283	7	in	in	ADP
ejpam-5462	283	8	an	an	DET
ejpam-5462	283	9	sir	sir	NOUN
ejpam-5462	283	10	model	model	NOUN
ejpam-5462	283	11	by	by	ADP
ejpam-5462	283	12	using	use	VERB
ejpam-5462	283	13	generalized	generalized	ADJ
ejpam-5462	283	14	fractional	fractional	ADJ
ejpam-5462	283	15	derivative	derivative	NOUN
ejpam-5462	283	16	.	.	PUNCT
ejpam-5462	284	1	fractal	fractal	PROPN
ejpam-5462	284	2	and	and	CCONJ
ejpam-5462	284	3	fractional	fractional	ADJ
ejpam-5462	284	4	,	,	PUNCT
ejpam-5462	284	5	8(9):537	8(9):537	NUM
ejpam-5462	284	6	,	,	PUNCT
ejpam-5462	284	7	2024	2024	NUM
ejpam-5462	284	8	.	.	PUNCT
ejpam-5462	285	1	[	[	X
ejpam-5462	285	2	6	6	NUM
ejpam-5462	285	3	]	]	X
ejpam-5462	285	4	mawada	mawada	PROPN
ejpam-5462	285	5	ali	ali	PROPN
ejpam-5462	285	6	,	,	PUNCT
ejpam-5462	285	7	fathelrhman	fathelrhman	PROPN
ejpam-5462	285	8	el	el	PROPN
ejpam-5462	285	9	guma	guma	PROPN
ejpam-5462	285	10	,	,	PUNCT
ejpam-5462	285	11	ahmad	ahmad	PROPN
ejpam-5462	285	12	qazza	qazza	PROPN
ejpam-5462	285	13	,	,	PUNCT
ejpam-5462	285	14	rania	rania	PROPN
ejpam-5462	285	15	saadeh	saadeh	PROPN
ejpam-5462	285	16	,	,	PUNCT
ejpam-5462	285	17	nahaa	nahaa	PROPN
ejpam-5462	285	18	e	e	PROPN
ejpam-5462	285	19	alsubaie	alsubaie	PROPN
ejpam-5462	285	20	,	,	PUNCT
ejpam-5462	285	21	mohammed	mohammed	PROPN
ejpam-5462	285	22	althubyani	althubyani	PROPN
ejpam-5462	285	23	,	,	PUNCT
ejpam-5462	285	24	and	and	CCONJ
ejpam-5462	285	25	mohamed	mohame	VERB
ejpam-5462	285	26	a	a	DET
ejpam-5462	285	27	abdoon	abdoon	NOUN
ejpam-5462	285	28	.	.	PUNCT
ejpam-5462	286	1	stochastic	stochastic	ADJ
ejpam-5462	286	2	modeling	modeling	NOUN
ejpam-5462	286	3	of	of	ADP
ejpam-5462	286	4	references	reference	NOUN
ejpam-5462	286	5	3928	3928	NUM
ejpam-5462	286	6	influenza	influenza	NOUN
ejpam-5462	286	7	transmission	transmission	NOUN
ejpam-5462	286	8	:	:	PUNCT
ejpam-5462	286	9	insights	insight	NOUN
ejpam-5462	286	10	into	into	ADP
ejpam-5462	286	11	disease	disease	NOUN
ejpam-5462	286	12	dynamics	dynamic	NOUN
ejpam-5462	286	13	and	and	CCONJ
ejpam-5462	286	14	epidemic	epidemic	NOUN
ejpam-5462	286	15	management	management	NOUN
ejpam-5462	286	16	.	.	PUNCT
ejpam-5462	287	1	partial	partial	ADJ
ejpam-5462	287	2	differential	differential	ADJ
ejpam-5462	287	3	equations	equation	NOUN
ejpam-5462	287	4	in	in	ADP
ejpam-5462	287	5	applied	applied	ADJ
ejpam-5462	287	6	mathematics	mathematic	NOUN
ejpam-5462	287	7	,	,	PUNCT
ejpam-5462	287	8	11:100886	11:100886	NUM
ejpam-5462	287	9	,	,	PUNCT
ejpam-5462	287	10	2024	2024	NUM
ejpam-5462	287	11	.	.	PUNCT
ejpam-5462	288	1	[	[	X
ejpam-5462	288	2	7	7	X
ejpam-5462	288	3	]	]	PUNCT
ejpam-5462	288	4	awatif	awatif	NOUN
ejpam-5462	288	5	muflih	muflih	NOUN
ejpam-5462	288	6	alqahtani	alqahtani	ADJ
ejpam-5462	288	7	,	,	PUNCT
ejpam-5462	288	8	arun	arun	PROPN
ejpam-5462	288	9	chaudhary	chaudhary	PROPN
ejpam-5462	288	10	,	,	PUNCT
ejpam-5462	288	11	ravi	ravi	PROPN
ejpam-5462	288	12	shanker	shanker	PROPN
ejpam-5462	288	13	dubey	dubey	PROPN
ejpam-5462	288	14	,	,	PUNCT
ejpam-5462	288	15	and	and	CCONJ
ejpam-5462	288	16	shivani	shivani	PROPN
ejpam-5462	288	17	sharma	sharma	PROPN
ejpam-5462	288	18	.	.	PUNCT
ejpam-5462	289	1	comparative	comparative	ADJ
ejpam-5462	289	2	analysis	analysis	NOUN
ejpam-5462	289	3	of	of	ADP
ejpam-5462	289	4	the	the	DET
ejpam-5462	289	5	chaotic	chaotic	ADJ
ejpam-5462	289	6	behavior	behavior	NOUN
ejpam-5462	289	7	of	of	ADP
ejpam-5462	289	8	a	a	DET
ejpam-5462	289	9	five	five	NUM
ejpam-5462	289	10	-	-	PUNCT
ejpam-5462	289	11	dimensional	dimensional	ADJ
ejpam-5462	289	12	fractional	fractional	ADJ
ejpam-5462	289	13	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	289	14	system	system	NOUN
ejpam-5462	289	15	with	with	ADP
ejpam-5462	289	16	constant	constant	ADJ
ejpam-5462	289	17	and	and	CCONJ
ejpam-5462	289	18	variable	variable	ADJ
ejpam-5462	289	19	order	order	NOUN
ejpam-5462	289	20	.	.	PUNCT
ejpam-5462	290	1	fractal	fractal	PROPN
ejpam-5462	290	2	&	&	CCONJ
ejpam-5462	290	3	fractional	fractional	ADJ
ejpam-5462	290	4	,	,	PUNCT
ejpam-5462	290	5	8(7	8(7	NUM
ejpam-5462	290	6	)	)	PUNCT
ejpam-5462	290	7	,	,	PUNCT
ejpam-5462	290	8	2024	2024	NUM
ejpam-5462	290	9	.	.	PUNCT
ejpam-5462	291	1	[	[	X
ejpam-5462	291	2	8	8	NUM
ejpam-5462	291	3	]	]	PUNCT
ejpam-5462	291	4	saad	saad	PROPN
ejpam-5462	291	5	althobaiti	althobaiti	PROPN
ejpam-5462	291	6	,	,	PUNCT
ejpam-5462	291	7	ravi	ravi	PROPN
ejpam-5462	291	8	shanker	shanker	PROPN
ejpam-5462	291	9	dubey	dubey	PROPN
ejpam-5462	291	10	,	,	PUNCT
ejpam-5462	291	11	and	and	CCONJ
ejpam-5462	291	12	jyoti	jyoti	PROPN
ejpam-5462	291	13	geetesh	geetesh	PROPN
ejpam-5462	291	14	prasad	prasad	PROPN
ejpam-5462	291	15	.	.	PUNCT
ejpam-5462	292	1	solution	solution	NOUN
ejpam-5462	292	2	of	of	ADP
ejpam-5462	292	3	local	local	ADJ
ejpam-5462	292	4	fractional	fractional	ADJ
ejpam-5462	292	5	generalized	generalized	ADJ
ejpam-5462	292	6	fokker	fokker	NOUN
ejpam-5462	292	7	–	–	PUNCT
ejpam-5462	292	8	planck	planck	NOUN
ejpam-5462	292	9	equation	equation	NOUN
ejpam-5462	292	10	using	use	VERB
ejpam-5462	292	11	local	local	ADJ
ejpam-5462	292	12	fractional	fractional	ADJ
ejpam-5462	292	13	mohand	mohand	NOUN
ejpam-5462	292	14	adomian	adomian	NOUN
ejpam-5462	292	15	decomposition	decomposition	NOUN
ejpam-5462	292	16	method	method	NOUN
ejpam-5462	292	17	.	.	PUNCT
ejpam-5462	293	1	fractals	fractal	NOUN
ejpam-5462	293	2	,	,	PUNCT
ejpam-5462	293	3	30(01):2240028	30(01):2240028	NUM
ejpam-5462	293	4	,	,	PUNCT
ejpam-5462	293	5	2022	2022	NUM
ejpam-5462	293	6	.	.	PUNCT
ejpam-5462	294	1	[	[	X
ejpam-5462	294	2	9	9	NUM
ejpam-5462	294	3	]	]	PUNCT
ejpam-5462	294	4	seda	seda	PROPN
ejpam-5462	294	5	igret	igret	PROPN
ejpam-5462	294	6	araz	araz	PROPN
ejpam-5462	294	7	,	,	PUNCT
ejpam-5462	294	8	mehmet	mehmet	PROPN
ejpam-5462	294	9	akif	akif	PROPN
ejpam-5462	294	10	cetin	cetin	PROPN
ejpam-5462	294	11	,	,	PUNCT
ejpam-5462	294	12	and	and	CCONJ
ejpam-5462	294	13	abdon	abdon	PROPN
ejpam-5462	294	14	atangana	atangana	PROPN
ejpam-5462	294	15	.	.	PUNCT
ejpam-5462	295	1	existence	existence	NOUN
ejpam-5462	295	2	,	,	PUNCT
ejpam-5462	295	3	uniqueness	uniqueness	NOUN
ejpam-5462	295	4	and	and	CCONJ
ejpam-5462	295	5	numerical	numerical	ADJ
ejpam-5462	295	6	solution	solution	NOUN
ejpam-5462	295	7	of	of	ADP
ejpam-5462	295	8	stochastic	stochastic	ADJ
ejpam-5462	295	9	fractional	fractional	ADJ
ejpam-5462	295	10	differential	differential	ADJ
ejpam-5462	295	11	equations	equation	NOUN
ejpam-5462	295	12	with	with	ADP
ejpam-5462	295	13	integer	integer	NOUN
ejpam-5462	295	14	and	and	CCONJ
ejpam-5462	295	15	non	non	ADJ
ejpam-5462	295	16	-	-	ADJ
ejpam-5462	295	17	integer	integer	ADJ
ejpam-5462	295	18	orders	order	NOUN
ejpam-5462	295	19	.	.	PUNCT
ejpam-5462	296	1	electronic	electronic	ADJ
ejpam-5462	296	2	research	research	NOUN
ejpam-5462	296	3	archive	archive	NOUN
ejpam-5462	296	4	,	,	PUNCT
ejpam-5462	296	5	32(2):733–761	32(2):733–761	PROPN
ejpam-5462	296	6	,	,	PUNCT
ejpam-5462	296	7	2024	2024	NUM
ejpam-5462	296	8	.	.	PUNCT
ejpam-5462	297	1	[	[	X
ejpam-5462	297	2	10	10	NUM
ejpam-5462	297	3	]	]	X
ejpam-5462	297	4	mohammed	mohammed	PROPN
ejpam-5462	297	5	berir	berir	PROPN
ejpam-5462	297	6	.	.	PUNCT
ejpam-5462	298	1	a	a	DET
ejpam-5462	298	2	fractional	fractional	ADJ
ejpam-5462	298	3	study	study	NOUN
ejpam-5462	298	4	for	for	ADP
ejpam-5462	298	5	solving	solve	VERB
ejpam-5462	298	6	the	the	DET
ejpam-5462	298	7	smoking	smoking	NOUN
ejpam-5462	298	8	model	model	NOUN
ejpam-5462	298	9	and	and	CCONJ
ejpam-5462	298	10	the	the	DET
ejpam-5462	298	11	chaotic	chaotic	ADJ
ejpam-5462	298	12	engineering	engineering	NOUN
ejpam-5462	298	13	model	model	NOUN
ejpam-5462	298	14	.	.	PUNCT
ejpam-5462	299	1	in	in	ADP
ejpam-5462	299	2	2023	2023	NUM
ejpam-5462	299	3	2nd	2nd	ADJ
ejpam-5462	299	4	international	international	ADJ
ejpam-5462	299	5	engineering	engineering	NOUN
ejpam-5462	299	6	conference	conference	NOUN
ejpam-5462	299	7	on	on	ADP
ejpam-5462	299	8	electrical	electrical	ADJ
ejpam-5462	299	9	,	,	PUNCT
ejpam-5462	299	10	energy	energy	NOUN
ejpam-5462	299	11	,	,	PUNCT
ejpam-5462	299	12	and	and	CCONJ
ejpam-5462	299	13	artificial	artificial	ADJ
ejpam-5462	299	14	intelligence	intelligence	NOUN
ejpam-5462	299	15	(	(	PUNCT
ejpam-5462	299	16	eiceeai	eiceeai	PROPN
ejpam-5462	299	17	)	)	PUNCT
ejpam-5462	299	18	,	,	PUNCT
ejpam-5462	299	19	pages	page	NOUN
ejpam-5462	299	20	1–6	1–6	NUM
ejpam-5462	299	21	.	.	PUNCT
ejpam-5462	299	22	ieee	ieee	NOUN
ejpam-5462	299	23	,	,	PUNCT
ejpam-5462	299	24	2023	2023	NUM
ejpam-5462	299	25	.	.	PUNCT
ejpam-5462	300	1	[	[	X
ejpam-5462	300	2	11	11	NUM
ejpam-5462	300	3	]	]	X
ejpam-5462	300	4	mohammed	mohammed	PROPN
ejpam-5462	300	5	berir	berir	PROPN
ejpam-5462	300	6	,	,	PUNCT
ejpam-5462	300	7	rania	rania	PROPN
ejpam-5462	300	8	saadeh	saadeh	PROPN
ejpam-5462	300	9	,	,	PUNCT
ejpam-5462	300	10	mohamed	mohame	VERB
ejpam-5462	300	11	a	a	DET
ejpam-5462	300	12	abdoon	abdoon	NOUN
ejpam-5462	300	13	,	,	PUNCT
ejpam-5462	300	14	ahmad	ahmad	PROPN
ejpam-5462	300	15	qazza	qazza	PROPN
ejpam-5462	300	16	,	,	PUNCT
ejpam-5462	300	17	and	and	CCONJ
ejpam-5462	300	18	dalal	dalal	PROPN
ejpam-5462	300	19	almutairi	almutairi	NOUN
ejpam-5462	300	20	.	.	PUNCT
ejpam-5462	301	1	a	a	DET
ejpam-5462	301	2	fractional	fractional	ADJ
ejpam-5462	301	3	study	study	NOUN
ejpam-5462	301	4	for	for	ADP
ejpam-5462	301	5	solving	solve	VERB
ejpam-5462	301	6	the	the	DET
ejpam-5462	301	7	sir	sir	NOUN
ejpam-5462	301	8	model	model	NOUN
ejpam-5462	301	9	and	and	CCONJ
ejpam-5462	301	10	chaotic	chaotic	ADJ
ejpam-5462	301	11	system	system	NOUN
ejpam-5462	301	12	.	.	PUNCT
ejpam-5462	302	1	iaeng	iaeng	PROPN
ejpam-5462	302	2	international	international	PROPN
ejpam-5462	302	3	journal	journal	PROPN
ejpam-5462	302	4	of	of	ADP
ejpam-5462	302	5	applied	apply	VERB
ejpam-5462	302	6	mathematics	mathematic	NOUN
ejpam-5462	302	7	,	,	PUNCT
ejpam-5462	302	8	54(2	54(2	NUM
ejpam-5462	302	9	)	)	PUNCT
ejpam-5462	302	10	,	,	PUNCT
ejpam-5462	302	11	2024	2024	NUM
ejpam-5462	302	12	.	.	PUNCT
ejpam-5462	303	1	[	[	X
ejpam-5462	303	2	12	12	NUM
ejpam-5462	303	3	]	]	PUNCT
ejpam-5462	303	4	nishant	nishant	PROPN
ejpam-5462	303	5	bhatnagar	bhatnagar	PROPN
ejpam-5462	303	6	,	,	PUNCT
ejpam-5462	303	7	kanak	kanak	PROPN
ejpam-5462	303	8	modi	modi	PROPN
ejpam-5462	303	9	,	,	PUNCT
ejpam-5462	303	10	lokesh	lokesh	PROPN
ejpam-5462	303	11	kumar	kumar	PROPN
ejpam-5462	303	12	yadav	yadav	PROPN
ejpam-5462	303	13	,	,	PUNCT
ejpam-5462	303	14	and	and	CCONJ
ejpam-5462	303	15	ravi	ravi	PROPN
ejpam-5462	303	16	shanker	shanker	PROPN
ejpam-5462	303	17	dubey	dubey	PROPN
ejpam-5462	303	18	.	.	PUNCT
ejpam-5462	304	1	an	an	DET
ejpam-5462	304	2	efficient	efficient	ADJ
ejpam-5462	304	3	technique	technique	NOUN
ejpam-5462	304	4	to	to	PART
ejpam-5462	304	5	study	study	VERB
ejpam-5462	304	6	of	of	ADP
ejpam-5462	304	7	time	time	NOUN
ejpam-5462	304	8	fractional	fractional	PROPN
ejpam-5462	304	9	whitham	whitham	NOUN
ejpam-5462	304	10	–	–	PUNCT
ejpam-5462	304	11	broer	broer	NOUN
ejpam-5462	304	12	–	–	PUNCT
ejpam-5462	304	13	kaup	kaup	PROPN
ejpam-5462	304	14	equations	equation	NOUN
ejpam-5462	304	15	.	.	PUNCT
ejpam-5462	305	1	international	international	ADJ
ejpam-5462	305	2	journal	journal	PROPN
ejpam-5462	305	3	of	of	ADP
ejpam-5462	305	4	mathematics	mathematic	NOUN
ejpam-5462	305	5	for	for	ADP
ejpam-5462	305	6	industry	industry	NOUN
ejpam-5462	305	7	,	,	PUNCT
ejpam-5462	305	8	page	page	NOUN
ejpam-5462	305	9	2450024	2450024	NUM
ejpam-5462	305	10	,	,	PUNCT
ejpam-5462	305	11	2024	2024	NUM
ejpam-5462	305	12	.	.	PUNCT
ejpam-5462	306	1	[	[	X
ejpam-5462	306	2	13	13	NUM
ejpam-5462	306	3	]	]	PUNCT
ejpam-5462	306	4	ravi	ravi	PROPN
ejpam-5462	306	5	shankar	shankar	PROPN
ejpam-5462	306	6	dubey	dubey	PROPN
ejpam-5462	306	7	,	,	PUNCT
ejpam-5462	306	8	manvendra	manvendra	PROPN
ejpam-5462	306	9	narayan	narayan	PROPN
ejpam-5462	306	10	mishra	mishra	PROPN
ejpam-5462	306	11	,	,	PUNCT
ejpam-5462	306	12	and	and	CCONJ
ejpam-5462	306	13	pranay	pranay	NOUN
ejpam-5462	306	14	goswami	goswami	NOUN
ejpam-5462	306	15	.	.	PUNCT
ejpam-5462	307	1	effect	effect	NOUN
ejpam-5462	307	2	of	of	ADP
ejpam-5462	307	3	covid-19	covid-19	PROPN
ejpam-5462	307	4	in	in	ADP
ejpam-5462	307	5	india	india	PROPN
ejpam-5462	307	6	-	-	PUNCT
ejpam-5462	307	7	a	a	DET
ejpam-5462	307	8	prediction	prediction	NOUN
ejpam-5462	307	9	through	through	ADP
ejpam-5462	307	10	mathematical	mathematical	ADJ
ejpam-5462	307	11	modeling	modeling	NOUN
ejpam-5462	307	12	using	use	VERB
ejpam-5462	307	13	atangana	atangana	PROPN
ejpam-5462	307	14	baleanu	baleanu	PROPN
ejpam-5462	307	15	fractional	fractional	ADJ
ejpam-5462	307	16	derivative	derivative	NOUN
ejpam-5462	307	17	.	.	PUNCT
ejpam-5462	308	1	journal	journal	PROPN
ejpam-5462	308	2	of	of	ADP
ejpam-5462	308	3	interdisciplinary	interdisciplinary	ADJ
ejpam-5462	308	4	mathematics	mathematic	NOUN
ejpam-5462	308	5	,	,	PUNCT
ejpam-5462	308	6	25(8):2431	25(8):2431	NUM
ejpam-5462	308	7	–	–	PUNCT
ejpam-5462	308	8	2444	2444	NUM
ejpam-5462	308	9	,	,	PUNCT
ejpam-5462	308	10	2022	2022	NUM
ejpam-5462	308	11	.	.	PUNCT
ejpam-5462	309	1	[	[	X
ejpam-5462	309	2	14	14	NUM
ejpam-5462	309	3	]	]	X
ejpam-5462	309	4	m	m	VERB
ejpam-5462	309	5	elbadri	elbadri	ADJ
ejpam-5462	309	6	,	,	PUNCT
ejpam-5462	309	7	ma	ma	PROPN
ejpam-5462	309	8	abdoon	abdoon	PROPN
ejpam-5462	309	9	,	,	PUNCT
ejpam-5462	309	10	m	m	VERB
ejpam-5462	309	11	berir	berir	NOUN
ejpam-5462	309	12	,	,	PUNCT
ejpam-5462	309	13	and	and	CCONJ
ejpam-5462	309	14	dk	dk	PROPN
ejpam-5462	309	15	almutairi	almutairi	NOUN
ejpam-5462	309	16	.	.	PUNCT
ejpam-5462	310	1	a	a	DET
ejpam-5462	310	2	symmetry	symmetry	NOUN
ejpam-5462	310	3	chaotic	chaotic	ADJ
ejpam-5462	310	4	model	model	NOUN
ejpam-5462	310	5	with	with	ADP
ejpam-5462	310	6	fractional	fractional	ADJ
ejpam-5462	310	7	derivative	derivative	ADJ
ejpam-5462	310	8	order	order	NOUN
ejpam-5462	310	9	via	via	ADP
ejpam-5462	310	10	two	two	NUM
ejpam-5462	310	11	different	different	ADJ
ejpam-5462	310	12	methods	method	NOUN
ejpam-5462	310	13	.	.	PUNCT
ejpam-5462	311	1	symmetry	symmetry	NOUN
ejpam-5462	311	2	2023	2023	NUM
ejpam-5462	311	3	,	,	PUNCT
ejpam-5462	311	4	15	15	NUM
ejpam-5462	311	5	,	,	PUNCT
ejpam-5462	311	6	1151	1151	NUM
ejpam-5462	311	7	.	.	PUNCT
ejpam-5462	312	1	htps	htps	NOUN
ejpam-5462	312	2	.	.	PUNCT
ejpam-5462	313	1	doi	doi	NOUN
ejpam-5462	313	2	.	.	PUNCT
ejpam-5462	314	1	org/10.3390	org/10.3390	PROPN
ejpam-5462	314	2	/	/	SYM
ejpam-5462	314	3	sym15061151	sym15061151	NOUN
ejpam-5462	314	4	#	#	NOUN
ejpam-5462	314	5	academic	academic	ADJ
ejpam-5462	314	6	editors	editor	NOUN
ejpam-5462	314	7	:	:	PUNCT
ejpam-5462	314	8	christos	christos	PROPN
ejpam-5462	314	9	volos	volos	PROPN
ejpam-5462	314	10	and	and	CCONJ
ejpam-5462	314	11	jorge	jorge	PROPN
ejpam-5462	314	12	e.	e.	PROPN
ejpam-5462	314	13	maćıas	maćıas	PROPN
ejpam-5462	314	14	dı́az	dı́az	NOUN
ejpam-5462	314	15	received	receive	VERB
ejpam-5462	314	16	,	,	PUNCT
ejpam-5462	314	17	14	14	NUM
ejpam-5462	314	18	,	,	PUNCT
ejpam-5462	314	19	2023	2023	NUM
ejpam-5462	314	20	.	.	PUNCT
ejpam-5462	315	1	[	[	X
ejpam-5462	315	2	15	15	NUM
ejpam-5462	315	3	]	]	PUNCT
ejpam-5462	315	4	uğur	uğur	PROPN
ejpam-5462	315	5	erkan	erkan	PROPN
ejpam-5462	315	6	,	,	PUNCT
ejpam-5462	315	7	abdurrahim	abdurrahim	PROPN
ejpam-5462	315	8	toktas	tokta	NOUN
ejpam-5462	315	9	,	,	PUNCT
ejpam-5462	315	10	and	and	CCONJ
ejpam-5462	315	11	qiang	qiang	PROPN
ejpam-5462	315	12	lai	lai	PROPN
ejpam-5462	315	13	.	.	PUNCT
ejpam-5462	316	1	2d	2d	NUM
ejpam-5462	316	2	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	316	3	system	system	NOUN
ejpam-5462	316	4	based	base	VERB
ejpam-5462	316	5	on	on	ADP
ejpam-5462	316	6	schaffer	schaffer	PROPN
ejpam-5462	316	7	function	function	NOUN
ejpam-5462	316	8	for	for	ADP
ejpam-5462	316	9	image	image	NOUN
ejpam-5462	316	10	encryption	encryption	NOUN
ejpam-5462	316	11	.	.	PUNCT
ejpam-5462	317	1	expert	expert	NOUN
ejpam-5462	317	2	systems	system	NOUN
ejpam-5462	317	3	with	with	ADP
ejpam-5462	317	4	applications	application	NOUN
ejpam-5462	317	5	,	,	PUNCT
ejpam-5462	317	6	213:119076	213:119076	NUM
ejpam-5462	317	7	,	,	PUNCT
ejpam-5462	317	8	2023	2023	NUM
ejpam-5462	317	9	.	.	PUNCT
ejpam-5462	318	1	[	[	X
ejpam-5462	318	2	16	16	NUM
ejpam-5462	318	3	]	]	PUNCT
ejpam-5462	318	4	xiaohong	xiaohong	PROPN
ejpam-5462	318	5	gao	gao	PROPN
ejpam-5462	318	6	.	.	PUNCT
ejpam-5462	318	7	image	image	NOUN
ejpam-5462	318	8	encryption	encryption	NOUN
ejpam-5462	318	9	algorithm	algorithm	NOUN
ejpam-5462	318	10	based	base	VERB
ejpam-5462	318	11	on	on	ADP
ejpam-5462	318	12	2d	2d	NUM
ejpam-5462	318	13	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	318	14	map	map	NOUN
ejpam-5462	318	15	.	.	PUNCT
ejpam-5462	319	1	optics	optics	PROPN
ejpam-5462	319	2	&	&	CCONJ
ejpam-5462	319	3	laser	laser	PROPN
ejpam-5462	319	4	technology	technology	NOUN
ejpam-5462	319	5	,	,	PUNCT
ejpam-5462	319	6	142:107252	142:107252	NUM
ejpam-5462	319	7	,	,	PUNCT
ejpam-5462	319	8	2021	2021	NUM
ejpam-5462	319	9	.	.	PUNCT
ejpam-5462	320	1	[	[	X
ejpam-5462	320	2	17	17	NUM
ejpam-5462	320	3	]	]	PUNCT
ejpam-5462	320	4	faeza	faeza	PROPN
ejpam-5462	320	5	lafta	lafta	PROPN
ejpam-5462	320	6	hasan	hasan	PROPN
ejpam-5462	320	7	,	,	PUNCT
ejpam-5462	320	8	mohamed	mohame	VERB
ejpam-5462	320	9	a	a	DET
ejpam-5462	320	10	abdoon	abdoon	NOUN
ejpam-5462	320	11	,	,	PUNCT
ejpam-5462	320	12	rania	rania	PROPN
ejpam-5462	320	13	saadeh	saadeh	PROPN
ejpam-5462	320	14	,	,	PUNCT
ejpam-5462	320	15	ahmad	ahmad	PROPN
ejpam-5462	320	16	qazza	qazza	PROPN
ejpam-5462	320	17	,	,	PUNCT
ejpam-5462	320	18	and	and	CCONJ
ejpam-5462	320	19	dalal	dalal	PROPN
ejpam-5462	320	20	khalid	khalid	PROPN
ejpam-5462	320	21	almutairi	almutairi	PROPN
ejpam-5462	320	22	.	.	PUNCT
ejpam-5462	321	1	exploring	explore	VERB
ejpam-5462	321	2	analytical	analytical	ADJ
ejpam-5462	321	3	results	result	NOUN
ejpam-5462	321	4	for	for	ADP
ejpam-5462	321	5	(	(	PUNCT
ejpam-5462	321	6	2	2	NUM
ejpam-5462	321	7	+	+	NUM
ejpam-5462	321	8	1	1	NUM
ejpam-5462	321	9	)	)	PUNCT
ejpam-5462	321	10	dimensional	dimensional	ADJ
ejpam-5462	321	11	breaking	breaking	ADJ
ejpam-5462	321	12	references	reference	NOUN
ejpam-5462	321	13	3929	3929	NUM
ejpam-5462	321	14	soliton	soliton	NOUN
ejpam-5462	321	15	equation	equation	NOUN
ejpam-5462	321	16	and	and	CCONJ
ejpam-5462	321	17	stochastic	stochastic	ADJ
ejpam-5462	321	18	fractional	fractional	ADJ
ejpam-5462	321	19	broer	broer	NOUN
ejpam-5462	321	20	-	-	PUNCT
ejpam-5462	321	21	kaup	kaup	PROPN
ejpam-5462	321	22	system	system	NOUN
ejpam-5462	321	23	.	.	PUNCT
ejpam-5462	322	1	aims	aim	VERB
ejpam-5462	322	2	mathematics	mathematic	NOUN
ejpam-5462	322	3	,	,	PUNCT
ejpam-5462	322	4	9(5):11622–11643	9(5):11622–11643	PROPN
ejpam-5462	322	5	,	,	PUNCT
ejpam-5462	322	6	2024	2024	NUM
ejpam-5462	322	7	.	.	PUNCT
ejpam-5462	323	1	[	[	X
ejpam-5462	323	2	18	18	NUM
ejpam-5462	323	3	]	]	PUNCT
ejpam-5462	323	4	dongliang	dongliang	PROPN
ejpam-5462	323	5	hu	hu	PROPN
ejpam-5462	323	6	,	,	PUNCT
ejpam-5462	323	7	xiaochen	xiaochen	PROPN
ejpam-5462	323	8	mao	mao	PROPN
ejpam-5462	323	9	,	,	PUNCT
ejpam-5462	323	10	and	and	CCONJ
ejpam-5462	323	11	lin	lin	PROPN
ejpam-5462	323	12	han	han	PROPN
ejpam-5462	323	13	.	.	PUNCT
ejpam-5462	324	1	stochastic	stochastic	ADJ
ejpam-5462	324	2	stability	stability	NOUN
ejpam-5462	324	3	analysis	analysis	NOUN
ejpam-5462	324	4	of	of	ADP
ejpam-5462	324	5	a	a	DET
ejpam-5462	324	6	fractional	fractional	ADJ
ejpam-5462	324	7	viscoelastic	viscoelastic	ADJ
ejpam-5462	324	8	plate	plate	NOUN
ejpam-5462	324	9	excited	excite	VERB
ejpam-5462	324	10	by	by	ADP
ejpam-5462	324	11	gaussian	gaussian	ADJ
ejpam-5462	324	12	white	white	ADJ
ejpam-5462	324	13	noise	noise	NOUN
ejpam-5462	324	14	.	.	PUNCT
ejpam-5462	325	1	mechanical	mechanical	ADJ
ejpam-5462	325	2	systems	system	NOUN
ejpam-5462	325	3	and	and	CCONJ
ejpam-5462	325	4	signal	signal	NOUN
ejpam-5462	325	5	processing	processing	NOUN
ejpam-5462	325	6	,	,	PUNCT
ejpam-5462	325	7	177:109181	177:109181	NUM
ejpam-5462	325	8	,	,	PUNCT
ejpam-5462	325	9	2022	2022	NUM
ejpam-5462	325	10	.	.	PUNCT
ejpam-5462	326	1	[	[	X
ejpam-5462	326	2	19	19	NUM
ejpam-5462	326	3	]	]	X
ejpam-5462	326	4	lilian	lilian	PROPN
ejpam-5462	326	5	huang	huang	PROPN
ejpam-5462	326	6	,	,	PUNCT
ejpam-5462	326	7	chuang	chuang	PROPN
ejpam-5462	326	8	li	li	PROPN
ejpam-5462	326	9	,	,	PUNCT
ejpam-5462	326	10	jin	jin	PROPN
ejpam-5462	326	11	liu	liu	PROPN
ejpam-5462	326	12	,	,	PUNCT
ejpam-5462	326	13	yu	yu	PROPN
ejpam-5462	326	14	zhong	zhong	PROPN
ejpam-5462	326	15	,	,	PUNCT
ejpam-5462	326	16	and	and	CCONJ
ejpam-5462	326	17	hao	hao	PROPN
ejpam-5462	326	18	zhang	zhang	PROPN
ejpam-5462	326	19	.	.	PUNCT
ejpam-5462	327	1	a	a	DET
ejpam-5462	327	2	novel	novel	ADJ
ejpam-5462	327	3	3d	3d	NOUN
ejpam-5462	327	4	nondegenerate	nondegenerate	PROPN
ejpam-5462	327	5	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	327	6	map	map	NOUN
ejpam-5462	327	7	with	with	ADP
ejpam-5462	327	8	ultra	ultra	ADJ
ejpam-5462	327	9	-	-	ADJ
ejpam-5462	327	10	wide	wide	ADJ
ejpam-5462	327	11	parameter	parameter	NOUN
ejpam-5462	327	12	range	range	NOUN
ejpam-5462	327	13	and	and	CCONJ
ejpam-5462	327	14	coexisting	coexist	VERB
ejpam-5462	327	15	attractors	attractor	NOUN
ejpam-5462	327	16	periodic	periodic	ADJ
ejpam-5462	327	17	switching	switching	NOUN
ejpam-5462	327	18	.	.	PUNCT
ejpam-5462	328	1	nonlinear	nonlinear	ADJ
ejpam-5462	328	2	dynamics	dynamic	NOUN
ejpam-5462	328	3	,	,	PUNCT
ejpam-5462	328	4	112(3):2289–2304	112(3):2289–2304	PROPN
ejpam-5462	328	5	,	,	PUNCT
ejpam-5462	328	6	2024	2024	NUM
ejpam-5462	328	7	.	.	PUNCT
ejpam-5462	329	1	[	[	X
ejpam-5462	329	2	20	20	NUM
ejpam-5462	329	3	]	]	X
ejpam-5462	329	4	hossein	hossein	PROPN
ejpam-5462	329	5	jafari	jafari	PROPN
ejpam-5462	329	6	,	,	PUNCT
ejpam-5462	329	7	muslim	muslim	PROPN
ejpam-5462	329	8	yusif	yusif	PROPN
ejpam-5462	329	9	zair	zair	PROPN
ejpam-5462	329	10	,	,	PUNCT
ejpam-5462	329	11	and	and	CCONJ
ejpam-5462	329	12	hassan	hassan	PROPN
ejpam-5462	329	13	kamil	kamil	PROPN
ejpam-5462	329	14	jassim	jassim	PROPN
ejpam-5462	329	15	.	.	PUNCT
ejpam-5462	330	1	analysis	analysis	NOUN
ejpam-5462	330	2	of	of	ADP
ejpam-5462	330	3	fractional	fractional	ADJ
ejpam-5462	330	4	navier	navier	NOUN
ejpam-5462	330	5	–	–	PUNCT
ejpam-5462	330	6	stokes	stokes	PROPN
ejpam-5462	330	7	equations	equation	NOUN
ejpam-5462	330	8	.	.	PUNCT
ejpam-5462	331	1	heat	heat	NOUN
ejpam-5462	331	2	transfer	transfer	NOUN
ejpam-5462	331	3	,	,	PUNCT
ejpam-5462	331	4	52(3):2859–2877	52(3):2859–2877	PROPN
ejpam-5462	331	5	,	,	PUNCT
ejpam-5462	331	6	2023	2023	NUM
ejpam-5462	331	7	.	.	PUNCT
ejpam-5462	332	1	[	[	X
ejpam-5462	332	2	21	21	NUM
ejpam-5462	332	3	]	]	X
ejpam-5462	332	4	rinku	rinku	PROPN
ejpam-5462	332	5	jain	jain	PROPN
ejpam-5462	332	6	,	,	PUNCT
ejpam-5462	332	7	kirti	kirti	PROPN
ejpam-5462	332	8	arekar	arekar	PROPN
ejpam-5462	332	9	,	,	PUNCT
ejpam-5462	332	10	and	and	CCONJ
ejpam-5462	332	11	ravi	ravi	PROPN
ejpam-5462	332	12	shanker	shanker	PROPN
ejpam-5462	332	13	dubey	dubey	PROPN
ejpam-5462	332	14	.	.	PUNCT
ejpam-5462	333	1	study	study	NOUN
ejpam-5462	333	2	of	of	ADP
ejpam-5462	333	3	bergman	bergman	PROPN
ejpam-5462	333	4	’s	’s	PART
ejpam-5462	333	5	minimal	minimal	ADJ
ejpam-5462	333	6	blood	blood	NOUN
ejpam-5462	333	7	glucose	glucose	NOUN
ejpam-5462	333	8	-	-	PUNCT
ejpam-5462	333	9	insulin	insulin	NOUN
ejpam-5462	333	10	model	model	NOUN
ejpam-5462	333	11	by	by	ADP
ejpam-5462	333	12	adomian	adomian	NOUN
ejpam-5462	333	13	decomposition	decomposition	NOUN
ejpam-5462	333	14	method	method	NOUN
ejpam-5462	333	15	.	.	PUNCT
ejpam-5462	334	1	journal	journal	NOUN
ejpam-5462	334	2	of	of	ADP
ejpam-5462	334	3	information	information	NOUN
ejpam-5462	334	4	and	and	CCONJ
ejpam-5462	334	5	optimization	optimization	NOUN
ejpam-5462	334	6	sciences	science	NOUN
ejpam-5462	334	7	,	,	PUNCT
ejpam-5462	334	8	38(1):133–149	38(1):133–149	PROPN
ejpam-5462	334	9	,	,	PUNCT
ejpam-5462	334	10	2017	2017	NUM
ejpam-5462	334	11	.	.	PUNCT
ejpam-5462	335	1	[	[	X
ejpam-5462	335	2	22	22	NUM
ejpam-5462	335	3	]	]	X
ejpam-5462	335	4	hk	hk	PROPN
ejpam-5462	335	5	jassim	jassim	PROPN
ejpam-5462	335	6	,	,	PUNCT
ejpam-5462	335	7	h	h	PROPN
ejpam-5462	335	8	ahmad	ahmad	PROPN
ejpam-5462	335	9	,	,	PUNCT
ejpam-5462	335	10	a	a	DET
ejpam-5462	335	11	shamaoon	shamaoon	NOUN
ejpam-5462	335	12	,	,	PUNCT
ejpam-5462	335	13	and	and	CCONJ
ejpam-5462	335	14	c	c	ADP
ejpam-5462	335	15	cesarano	cesarano	PROPN
ejpam-5462	335	16	.	.	PUNCT
ejpam-5462	336	1	an	an	DET
ejpam-5462	336	2	efficient	efficient	ADJ
ejpam-5462	336	3	hybrid	hybrid	NOUN
ejpam-5462	336	4	technique	technique	NOUN
ejpam-5462	336	5	for	for	ADP
ejpam-5462	336	6	the	the	DET
ejpam-5462	336	7	solution	solution	NOUN
ejpam-5462	336	8	of	of	ADP
ejpam-5462	336	9	fractional	fractional	ADJ
ejpam-5462	336	10	-	-	PUNCT
ejpam-5462	336	11	order	order	NOUN
ejpam-5462	336	12	partial	partial	ADJ
ejpam-5462	336	13	differential	differential	NOUN
ejpam-5462	336	14	equations	equation	NOUN
ejpam-5462	336	15	.	.	PUNCT
ejpam-5462	337	1	carpathian	carpathian	ADJ
ejpam-5462	337	2	mathematical	mathematical	ADJ
ejpam-5462	337	3	publications	publication	NOUN
ejpam-5462	337	4	,	,	PUNCT
ejpam-5462	337	5	13(3):790–804	13(3):790–804	PROPN
ejpam-5462	337	6	,	,	PUNCT
ejpam-5462	337	7	2021	2021	NUM
ejpam-5462	337	8	.	.	PUNCT
ejpam-5462	338	1	[	[	X
ejpam-5462	338	2	23	23	NUM
ejpam-5462	338	3	]	]	X
ejpam-5462	338	4	omer	omer	PROPN
ejpam-5462	338	5	kocak	kocak	PROPN
ejpam-5462	338	6	,	,	PUNCT
ejpam-5462	338	7	uğur	uğur	PROPN
ejpam-5462	338	8	erkan	erkan	PROPN
ejpam-5462	338	9	,	,	PUNCT
ejpam-5462	338	10	abdurrahim	abdurrahim	PROPN
ejpam-5462	338	11	toktas	tokta	NOUN
ejpam-5462	338	12	,	,	PUNCT
ejpam-5462	338	13	and	and	CCONJ
ejpam-5462	338	14	suo	suo	PROPN
ejpam-5462	338	15	gao	gao	PROPN
ejpam-5462	338	16	.	.	PUNCT
ejpam-5462	338	17	pso	pso	NOUN
ejpam-5462	338	18	-	-	PUNCT
ejpam-5462	338	19	based	base	VERB
ejpam-5462	338	20	image	image	NOUN
ejpam-5462	338	21	encryption	encryption	NOUN
ejpam-5462	338	22	scheme	scheme	NOUN
ejpam-5462	338	23	using	use	VERB
ejpam-5462	338	24	modular	modular	ADJ
ejpam-5462	338	25	integrated	integrate	VERB
ejpam-5462	338	26	logistic	logistic	ADJ
ejpam-5462	338	27	exponential	exponential	NOUN
ejpam-5462	338	28	map	map	NOUN
ejpam-5462	338	29	.	.	PUNCT
ejpam-5462	339	1	expert	expert	NOUN
ejpam-5462	339	2	systems	system	NOUN
ejpam-5462	339	3	with	with	ADP
ejpam-5462	339	4	applications	application	NOUN
ejpam-5462	339	5	,	,	PUNCT
ejpam-5462	339	6	237:121452	237:121452	NUM
ejpam-5462	339	7	,	,	PUNCT
ejpam-5462	339	8	2024	2024	NUM
ejpam-5462	339	9	.	.	PUNCT
ejpam-5462	340	1	[	[	X
ejpam-5462	340	2	24	24	NUM
ejpam-5462	340	3	]	]	PUNCT
ejpam-5462	340	4	gervais	gervais	PROPN
ejpam-5462	340	5	dolvis	dolvis	PROPN
ejpam-5462	340	6	leutcho	leutcho	PROPN
ejpam-5462	340	7	,	,	PUNCT
ejpam-5462	340	8	huihai	huihai	PROPN
ejpam-5462	340	9	wang	wang	PROPN
ejpam-5462	340	10	,	,	PUNCT
ejpam-5462	340	11	theophile	theophile	VERB
ejpam-5462	340	12	fonzin	fonzin	PROPN
ejpam-5462	340	13	fozin	fozin	PROPN
ejpam-5462	340	14	,	,	PUNCT
ejpam-5462	340	15	kehui	kehui	NOUN
ejpam-5462	340	16	sun	sun	NOUN
ejpam-5462	340	17	,	,	PUNCT
ejpam-5462	340	18	zeric	zeric	PROPN
ejpam-5462	340	19	tabekoueng	tabekoueng	PROPN
ejpam-5462	340	20	njitacke	njitacke	PROPN
ejpam-5462	340	21	,	,	PUNCT
ejpam-5462	340	22	and	and	CCONJ
ejpam-5462	340	23	jacques	jacques	PROPN
ejpam-5462	340	24	kengne	kengne	PROPN
ejpam-5462	340	25	.	.	PUNCT
ejpam-5462	341	1	dynamics	dynamic	NOUN
ejpam-5462	341	2	of	of	ADP
ejpam-5462	341	3	a	a	DET
ejpam-5462	341	4	new	new	ADJ
ejpam-5462	341	5	multistable	multistable	ADJ
ejpam-5462	341	6	4d	4d	NUM
ejpam-5462	341	7	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	341	8	lorenz	lorenz	PROPN
ejpam-5462	341	9	system	system	NOUN
ejpam-5462	341	10	and	and	CCONJ
ejpam-5462	341	11	its	its	PRON
ejpam-5462	341	12	applications	application	NOUN
ejpam-5462	341	13	.	.	PUNCT
ejpam-5462	342	1	international	international	ADJ
ejpam-5462	342	2	journal	journal	NOUN
ejpam-5462	342	3	of	of	ADP
ejpam-5462	342	4	bifurcation	bifurcation	NOUN
ejpam-5462	342	5	and	and	CCONJ
ejpam-5462	342	6	chaos	chaos	NOUN
ejpam-5462	342	7	,	,	PUNCT
ejpam-5462	342	8	32(01):2250001	32(01):2250001	NUM
ejpam-5462	342	9	,	,	PUNCT
ejpam-5462	342	10	2022	2022	NUM
ejpam-5462	342	11	.	.	PUNCT
ejpam-5462	343	1	[	[	X
ejpam-5462	343	2	25	25	NUM
ejpam-5462	343	3	]	]	X
ejpam-5462	343	4	hongmin	hongmin	PROPN
ejpam-5462	343	5	li	li	PROPN
ejpam-5462	343	6	,	,	PUNCT
ejpam-5462	343	7	shuqi	shuqi	PROPN
ejpam-5462	343	8	yu	yu	PROPN
ejpam-5462	343	9	,	,	PUNCT
ejpam-5462	343	10	wei	wei	PROPN
ejpam-5462	343	11	feng	feng	PROPN
ejpam-5462	343	12	,	,	PUNCT
ejpam-5462	343	13	yao	yao	PROPN
ejpam-5462	343	14	chen	chen	PROPN
ejpam-5462	343	15	,	,	PUNCT
ejpam-5462	343	16	jing	jing	PROPN
ejpam-5462	343	17	zhang	zhang	PROPN
ejpam-5462	343	18	,	,	PUNCT
ejpam-5462	343	19	zhentao	zhentao	PROPN
ejpam-5462	343	20	qin	qin	PROPN
ejpam-5462	343	21	,	,	PUNCT
ejpam-5462	343	22	zhengguo	zhengguo	PROPN
ejpam-5462	343	23	zhu	zhu	PROPN
ejpam-5462	343	24	,	,	PUNCT
ejpam-5462	343	25	and	and	CCONJ
ejpam-5462	343	26	marcin	marcin	PROPN
ejpam-5462	343	27	wozniak	wozniak	PROPN
ejpam-5462	343	28	.	.	PUNCT
ejpam-5462	344	1	exploiting	exploit	VERB
ejpam-5462	344	2	dynamic	dynamic	ADJ
ejpam-5462	344	3	vector	vector	NOUN
ejpam-5462	344	4	-	-	PUNCT
ejpam-5462	344	5	level	level	NOUN
ejpam-5462	344	6	operations	operation	NOUN
ejpam-5462	344	7	and	and	CCONJ
ejpam-5462	344	8	a	a	DET
ejpam-5462	344	9	2d	2d	NOUN
ejpam-5462	344	10	-	-	PUNCT
ejpam-5462	344	11	enhanced	enhance	VERB
ejpam-5462	344	12	logistic	logistic	ADJ
ejpam-5462	344	13	modular	modular	ADJ
ejpam-5462	344	14	map	map	NOUN
ejpam-5462	344	15	for	for	ADP
ejpam-5462	344	16	efficient	efficient	ADJ
ejpam-5462	344	17	chaotic	chaotic	ADJ
ejpam-5462	344	18	image	image	NOUN
ejpam-5462	344	19	encryption	encryption	NOUN
ejpam-5462	344	20	.	.	PUNCT
ejpam-5462	345	1	entropy	entropy	PROPN
ejpam-5462	345	2	,	,	PUNCT
ejpam-5462	345	3	25(8):1147	25(8):1147	NUM
ejpam-5462	345	4	,	,	PUNCT
ejpam-5462	345	5	2023	2023	NUM
ejpam-5462	345	6	.	.	PUNCT
ejpam-5462	346	1	[	[	X
ejpam-5462	346	2	26	26	NUM
ejpam-5462	346	3	]	]	X
ejpam-5462	346	4	junhong	junhong	PROPN
ejpam-5462	346	5	li	li	PROPN
ejpam-5462	346	6	and	and	CCONJ
ejpam-5462	346	7	ning	ning	PROPN
ejpam-5462	346	8	cui	cui	PROPN
ejpam-5462	346	9	.	.	PUNCT
ejpam-5462	347	1	dynamical	dynamical	ADJ
ejpam-5462	347	2	analysis	analysis	NOUN
ejpam-5462	347	3	of	of	ADP
ejpam-5462	347	4	a	a	DET
ejpam-5462	347	5	new	new	ADJ
ejpam-5462	347	6	5d	5d	NUM
ejpam-5462	347	7	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	347	8	system	system	NOUN
ejpam-5462	347	9	.	.	PUNCT
ejpam-5462	348	1	physica	physica	PROPN
ejpam-5462	348	2	scripta	scripta	PROPN
ejpam-5462	348	3	,	,	PUNCT
ejpam-5462	348	4	98(10):105205	98(10):105205	NUM
ejpam-5462	348	5	,	,	PUNCT
ejpam-5462	348	6	2023	2023	NUM
ejpam-5462	348	7	.	.	PUNCT
ejpam-5462	349	1	[	[	X
ejpam-5462	349	2	27	27	NUM
ejpam-5462	349	3	]	]	X
ejpam-5462	349	4	xilin	xilin	PROPN
ejpam-5462	349	5	liu	liu	PROPN
ejpam-5462	349	6	,	,	PUNCT
ejpam-5462	349	7	xiaojun	xiaojun	PROPN
ejpam-5462	349	8	tong	tong	PROPN
ejpam-5462	349	9	,	,	PUNCT
ejpam-5462	349	10	miao	miao	PROPN
ejpam-5462	349	11	zhang	zhang	PROPN
ejpam-5462	349	12	,	,	PUNCT
ejpam-5462	349	13	and	and	CCONJ
ejpam-5462	349	14	zhu	zhu	PROPN
ejpam-5462	349	15	wang	wang	PROPN
ejpam-5462	349	16	.	.	PUNCT
ejpam-5462	350	1	a	a	DET
ejpam-5462	350	2	highly	highly	ADV
ejpam-5462	350	3	secure	secure	ADJ
ejpam-5462	350	4	image	image	NOUN
ejpam-5462	350	5	encryption	encryption	NOUN
ejpam-5462	350	6	algorithm	algorithm	NOUN
ejpam-5462	350	7	based	base	VERB
ejpam-5462	350	8	on	on	ADP
ejpam-5462	350	9	conservative	conservative	ADJ
ejpam-5462	350	10	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	350	11	system	system	NOUN
ejpam-5462	350	12	and	and	CCONJ
ejpam-5462	350	13	dynamic	dynamic	ADJ
ejpam-5462	350	14	biogenetic	biogenetic	ADJ
ejpam-5462	350	15	gene	gene	NOUN
ejpam-5462	350	16	algorithms	algorithm	NOUN
ejpam-5462	350	17	.	.	PUNCT
ejpam-5462	351	1	chaos	chaos	NOUN
ejpam-5462	351	2	,	,	PUNCT
ejpam-5462	351	3	solitons	soliton	NOUN
ejpam-5462	351	4	&	&	CCONJ
ejpam-5462	351	5	fractals	fractal	NOUN
ejpam-5462	351	6	,	,	PUNCT
ejpam-5462	351	7	171:113450	171:113450	NUM
ejpam-5462	351	8	,	,	PUNCT
ejpam-5462	351	9	2023	2023	NUM
ejpam-5462	351	10	.	.	PUNCT
ejpam-5462	352	1	[	[	X
ejpam-5462	352	2	28	28	NUM
ejpam-5462	352	3	]	]	SYM
ejpam-5462	352	4	b	b	PROPN
ejpam-5462	352	5	parsa	parsa	PROPN
ejpam-5462	352	6	moghaddam	moghaddam	NOUN
ejpam-5462	352	7	,	,	PUNCT
ejpam-5462	352	8	sh	sh	PROPN
ejpam-5462	352	9	yaghoobi	yaghoobi	NOUN
ejpam-5462	352	10	,	,	PUNCT
ejpam-5462	352	11	and	and	CCONJ
ejpam-5462	352	12	ja	ja	PROPN
ejpam-5462	352	13	tenreiro	tenreiro	PROPN
ejpam-5462	352	14	machado	machado	PROPN
ejpam-5462	352	15	.	.	PUNCT
ejpam-5462	353	1	an	an	DET
ejpam-5462	353	2	extended	extended	ADJ
ejpam-5462	353	3	predictor	predictor	NOUN
ejpam-5462	353	4	–	–	PUNCT
ejpam-5462	353	5	corrector	corrector	NOUN
ejpam-5462	353	6	algorithm	algorithm	NOUN
ejpam-5462	353	7	for	for	ADP
ejpam-5462	353	8	variable	variable	ADJ
ejpam-5462	353	9	-	-	PUNCT
ejpam-5462	353	10	order	order	NOUN
ejpam-5462	353	11	fractional	fractional	ADJ
ejpam-5462	353	12	delay	delay	NOUN
ejpam-5462	353	13	differential	differential	ADJ
ejpam-5462	353	14	equations	equation	NOUN
ejpam-5462	353	15	.	.	PUNCT
ejpam-5462	354	1	journal	journal	NOUN
ejpam-5462	354	2	of	of	ADP
ejpam-5462	354	3	computational	computational	ADJ
ejpam-5462	354	4	and	and	CCONJ
ejpam-5462	354	5	nonlinear	nonlinear	ADJ
ejpam-5462	354	6	dynamics	dynamic	NOUN
ejpam-5462	354	7	,	,	PUNCT
ejpam-5462	354	8	11(6	11(6	NUM
ejpam-5462	354	9	)	)	PUNCT
ejpam-5462	354	10	,	,	PUNCT
ejpam-5462	354	11	2016	2016	NUM
ejpam-5462	354	12	.	.	PUNCT
ejpam-5462	355	1	references	reference	NOUN
ejpam-5462	355	2	3930	3930	NUM
ejpam-5462	355	3	[	[	X
ejpam-5462	355	4	29	29	NUM
ejpam-5462	355	5	]	]	PUNCT
ejpam-5462	355	6	wael	wael	PROPN
ejpam-5462	355	7	wmohammed	wmohammed	PROPN
ejpam-5462	355	8	,	,	PUNCT
ejpam-5462	355	9	clemente	clemente	PROPN
ejpam-5462	355	10	cesarano	cesarano	PROPN
ejpam-5462	355	11	,	,	PUNCT
ejpam-5462	355	12	doaa	doaa	VERB
ejpam-5462	355	13	rizk	rizk	PROPN
ejpam-5462	355	14	,	,	PUNCT
ejpam-5462	355	15	elkhateeb	elkhateeb	PROPN
ejpam-5462	355	16	s	s	PROPN
ejpam-5462	355	17	aly	aly	PROPN
ejpam-5462	355	18	,	,	PUNCT
ejpam-5462	355	19	and	and	CCONJ
ejpam-5462	355	20	mahmoud	mahmoud	PROPN
ejpam-5462	355	21	el	el	PROPN
ejpam-5462	355	22	-	-	PUNCT
ejpam-5462	355	23	morshedy	morshedy	PROPN
ejpam-5462	355	24	.	.	PUNCT
ejpam-5462	356	1	impact	impact	NOUN
ejpam-5462	356	2	of	of	ADP
ejpam-5462	356	3	white	white	ADJ
ejpam-5462	356	4	noise	noise	NOUN
ejpam-5462	356	5	on	on	ADP
ejpam-5462	356	6	the	the	DET
ejpam-5462	356	7	exact	exact	ADJ
ejpam-5462	356	8	solutions	solution	NOUN
ejpam-5462	356	9	of	of	ADP
ejpam-5462	356	10	the	the	DET
ejpam-5462	356	11	stochastic	stochastic	ADJ
ejpam-5462	356	12	riemann	riemann	PROPN
ejpam-5462	356	13	wave	wave	NOUN
ejpam-5462	356	14	equation	equation	NOUN
ejpam-5462	356	15	in	in	ADP
ejpam-5462	356	16	quantum	quantum	ADJ
ejpam-5462	356	17	mechanics	mechanic	NOUN
ejpam-5462	356	18	.	.	PUNCT
ejpam-5462	357	1	symmetry	symmetry	PROPN
ejpam-5462	357	2	,	,	PUNCT
ejpam-5462	357	3	15(11):2070	15(11):2070	NUM
ejpam-5462	357	4	,	,	PUNCT
ejpam-5462	357	5	2023	2023	NUM
ejpam-5462	357	6	.	.	PUNCT
ejpam-5462	358	1	[	[	X
ejpam-5462	358	2	30	30	NUM
ejpam-5462	358	3	]	]	X
ejpam-5462	358	4	mounia	mounia	NOUN
ejpam-5462	358	5	mouy	mouy	PROPN
ejpam-5462	358	6	,	,	PUNCT
ejpam-5462	358	7	hamid	hamid	PROPN
ejpam-5462	358	8	boulares	boulares	PROPN
ejpam-5462	358	9	,	,	PUNCT
ejpam-5462	358	10	saleh	saleh	PROPN
ejpam-5462	358	11	alshammari	alshammari	PROPN
ejpam-5462	358	12	,	,	PUNCT
ejpam-5462	358	13	mohammad	mohammad	PROPN
ejpam-5462	358	14	alshammari	alshammari	PROPN
ejpam-5462	358	15	,	,	PUNCT
ejpam-5462	358	16	yamina	yamina	PROPN
ejpam-5462	358	17	laskri	laskri	NOUN
ejpam-5462	358	18	,	,	PUNCT
ejpam-5462	358	19	and	and	CCONJ
ejpam-5462	358	20	wael	wael	PROPN
ejpam-5462	358	21	w	w	PROPN
ejpam-5462	358	22	mohammed	mohammed	PROPN
ejpam-5462	358	23	.	.	PUNCT
ejpam-5462	359	1	on	on	ADP
ejpam-5462	359	2	averaging	average	VERB
ejpam-5462	359	3	principle	principle	NOUN
ejpam-5462	359	4	for	for	ADP
ejpam-5462	359	5	caputo	caputo	PROPN
ejpam-5462	359	6	–	–	PUNCT
ejpam-5462	359	7	hadamard	hadamard	ADJ
ejpam-5462	359	8	fractional	fractional	ADJ
ejpam-5462	359	9	stochastic	stochastic	ADJ
ejpam-5462	359	10	differential	differential	ADJ
ejpam-5462	359	11	pantograph	pantograph	NOUN
ejpam-5462	359	12	equation	equation	NOUN
ejpam-5462	359	13	.	.	PUNCT
ejpam-5462	360	1	fractal	fractal	ADJ
ejpam-5462	360	2	and	and	CCONJ
ejpam-5462	360	3	fractional	fractional	ADJ
ejpam-5462	360	4	,	,	PUNCT
ejpam-5462	360	5	7(1):31	7(1):31	NUM
ejpam-5462	360	6	,	,	PUNCT
ejpam-5462	360	7	2022	2022	NUM
ejpam-5462	360	8	.	.	PUNCT
ejpam-5462	361	1	[	[	X
ejpam-5462	361	2	31	31	NUM
ejpam-5462	361	3	]	]	PUNCT
ejpam-5462	361	4	tsafack	tsafack	NOUN
ejpam-5462	361	5	nestor	nestor	PROPN
ejpam-5462	361	6	,	,	PUNCT
ejpam-5462	361	7	akram	akram	PROPN
ejpam-5462	361	8	belazi	belazi	PROPN
ejpam-5462	361	9	,	,	PUNCT
ejpam-5462	361	10	bassem	bassem	PROPN
ejpam-5462	361	11	abd	abd	PROPN
ejpam-5462	361	12	-	-	PROPN
ejpam-5462	361	13	el	el	PROPN
ejpam-5462	361	14	-	-	PROPN
ejpam-5462	361	15	atty	atty	PROPN
ejpam-5462	361	16	,	,	PUNCT
ejpam-5462	361	17	md	md	PROPN
ejpam-5462	361	18	nazish	nazish	PROPN
ejpam-5462	361	19	aslam	aslam	PROPN
ejpam-5462	361	20	,	,	PUNCT
ejpam-5462	361	21	christos	christos	PROPN
ejpam-5462	361	22	volos	volos	PROPN
ejpam-5462	361	23	,	,	PUNCT
ejpam-5462	361	24	nkapkop	nkapkop	PROPN
ejpam-5462	361	25	jean	jean	PROPN
ejpam-5462	361	26	de	de	PROPN
ejpam-5462	361	27	dieu	dieu	PROPN
ejpam-5462	361	28	,	,	PUNCT
ejpam-5462	361	29	and	and	CCONJ
ejpam-5462	361	30	ahmed	ahme	VERB
ejpam-5462	361	31	a	a	DET
ejpam-5462	361	32	abd	abd	PROPN
ejpam-5462	361	33	el	el	PROPN
ejpam-5462	361	34	-	-	PROPN
ejpam-5462	361	35	latif	latif	PROPN
ejpam-5462	361	36	.	.	PUNCT
ejpam-5462	362	1	a	a	DET
ejpam-5462	362	2	new	new	ADJ
ejpam-5462	362	3	4d	4d	NUM
ejpam-5462	362	4	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	362	5	system	system	NOUN
ejpam-5462	362	6	with	with	ADP
ejpam-5462	362	7	dynamics	dynamic	NOUN
ejpam-5462	362	8	analysis	analysis	NOUN
ejpam-5462	362	9	,	,	PUNCT
ejpam-5462	362	10	synchronization	synchronization	NOUN
ejpam-5462	362	11	,	,	PUNCT
ejpam-5462	362	12	and	and	CCONJ
ejpam-5462	362	13	application	application	NOUN
ejpam-5462	362	14	to	to	ADP
ejpam-5462	362	15	image	image	NOUN
ejpam-5462	362	16	encryption	encryption	NOUN
ejpam-5462	362	17	.	.	PUNCT
ejpam-5462	363	1	symmetry	symmetry	NOUN
ejpam-5462	363	2	,	,	PUNCT
ejpam-5462	363	3	14(2):424	14(2):424	NUM
ejpam-5462	363	4	,	,	PUNCT
ejpam-5462	363	5	2022	2022	NUM
ejpam-5462	363	6	.	.	PUNCT
ejpam-5462	364	1	[	[	X
ejpam-5462	364	2	32	32	NUM
ejpam-5462	364	3	]	]	PUNCT
ejpam-5462	364	4	alexandre	alexandre	PROPN
ejpam-5462	364	5	r.	r.	PROPN
ejpam-5462	364	6	nieto	nieto	PROPN
ejpam-5462	364	7	,	,	PUNCT
ejpam-5462	364	8	jesús	jesús	PROPN
ejpam-5462	364	9	m.	m.	NOUN
ejpam-5462	364	10	seoane	seoane	PROPN
ejpam-5462	364	11	,	,	PUNCT
ejpam-5462	364	12	miguel	miguel	PROPN
ejpam-5462	364	13	a.	a.	PROPN
ejpam-5462	364	14	f.	f.	PROPN
ejpam-5462	364	15	sanjuán	sanjuán	PROPN
ejpam-5462	364	16	,	,	PUNCT
ejpam-5462	364	17	and	and	CCONJ
ejpam-5462	364	18	miguel	miguel	PROPN
ejpam-5462	364	19	a.	a.	PROPN
ejpam-5462	364	20	f.	f.	PROPN
ejpam-5462	364	21	sanjuán	sanjuán	PROPN
ejpam-5462	364	22	.	.	PUNCT
ejpam-5462	365	1	final	final	ADJ
ejpam-5462	365	2	state	state	NOUN
ejpam-5462	365	3	sensitivity	sensitivity	NOUN
ejpam-5462	365	4	in	in	ADP
ejpam-5462	365	5	noisy	noisy	ADJ
ejpam-5462	365	6	chaotic	chaotic	ADJ
ejpam-5462	365	7	scattering	scattering	NOUN
ejpam-5462	365	8	.	.	PUNCT
ejpam-5462	366	1	chaos	chaos	NOUN
ejpam-5462	366	2	solitons	soliton	NOUN
ejpam-5462	366	3	fractals	fractal	NOUN
ejpam-5462	366	4	,	,	PUNCT
ejpam-5462	366	5	2021	2021	NUM
ejpam-5462	366	6	.	.	PUNCT
ejpam-5462	367	1	[	[	X
ejpam-5462	367	2	33	33	NUM
ejpam-5462	367	3	]	]	PUNCT
ejpam-5462	367	4	olurotimi	olurotimi	PROPN
ejpam-5462	367	5	s	s	PROPN
ejpam-5462	367	6	ojoniyi	ojoniyi	ADJ
ejpam-5462	367	7	and	and	CCONJ
ejpam-5462	367	8	abdulahi	abdulahi	ADJ
ejpam-5462	367	9	n	n	ADP
ejpam-5462	367	10	njah	njah	NOUN
ejpam-5462	367	11	.	.	PUNCT
ejpam-5462	368	1	a	a	DET
ejpam-5462	368	2	5d	5d	NUM
ejpam-5462	368	3	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	368	4	sprott	sprott	PROPN
ejpam-5462	368	5	b	b	PROPN
ejpam-5462	368	6	system	system	NOUN
ejpam-5462	368	7	with	with	ADP
ejpam-5462	368	8	coexisting	coexist	VERB
ejpam-5462	368	9	hidden	hidden	ADJ
ejpam-5462	368	10	attractors	attractor	NOUN
ejpam-5462	368	11	.	.	PUNCT
ejpam-5462	369	1	chaos	chaos	NOUN
ejpam-5462	369	2	,	,	PUNCT
ejpam-5462	369	3	solitons	soliton	NOUN
ejpam-5462	369	4	&	&	CCONJ
ejpam-5462	369	5	fractals	fractal	NOUN
ejpam-5462	369	6	,	,	PUNCT
ejpam-5462	369	7	87:172–181	87:172–181	NUM
ejpam-5462	369	8	,	,	PUNCT
ejpam-5462	369	9	2016	2016	NUM
ejpam-5462	369	10	.	.	PUNCT
ejpam-5462	370	1	[	[	X
ejpam-5462	370	2	34	34	NUM
ejpam-5462	370	3	]	]	X
ejpam-5462	370	4	kb	kb	PROPN
ejpam-5462	370	5	oldham	oldham	PROPN
ejpam-5462	370	6	.	.	PUNCT
ejpam-5462	371	1	the	the	DET
ejpam-5462	371	2	fractional	fractional	ADJ
ejpam-5462	371	3	calculus	calculus	NOUN
ejpam-5462	371	4	:	:	PUNCT
ejpam-5462	371	5	theory	theory	NOUN
ejpam-5462	371	6	and	and	CCONJ
ejpam-5462	371	7	applications	application	NOUN
ejpam-5462	371	8	of	of	ADP
ejpam-5462	371	9	differentiation	differentiation	NOUN
ejpam-5462	371	10	and	and	CCONJ
ejpam-5462	371	11	integration	integration	NOUN
ejpam-5462	371	12	of	of	ADP
ejpam-5462	371	13	arbitrary	arbitrary	ADJ
ejpam-5462	371	14	order	order	NOUN
ejpam-5462	371	15	.	.	PUNCT
ejpam-5462	372	1	academic	academic	ADJ
ejpam-5462	372	2	press	press	NOUN
ejpam-5462	372	3	,	,	PUNCT
ejpam-5462	372	4	1974	1974	NUM
ejpam-5462	372	5	.	.	PUNCT
ejpam-5462	373	1	[	[	X
ejpam-5462	373	2	35	35	NUM
ejpam-5462	373	3	]	]	X
ejpam-5462	373	4	igor	igor	NOUN
ejpam-5462	373	5	podlubny	podlubny	PROPN
ejpam-5462	373	6	,	,	PUNCT
ejpam-5462	373	7	aleksei	aleksei	ADJ
ejpam-5462	373	8	chechkin	chechkin	NOUN
ejpam-5462	373	9	,	,	PUNCT
ejpam-5462	373	10	tomas	toma	NOUN
ejpam-5462	373	11	skovranek	skovranek	VERB
ejpam-5462	373	12	,	,	PUNCT
ejpam-5462	373	13	yangquan	yangquan	PROPN
ejpam-5462	373	14	chen	chen	PROPN
ejpam-5462	373	15	,	,	PUNCT
ejpam-5462	373	16	and	and	CCONJ
ejpam-5462	373	17	blas	blas	PROPN
ejpam-5462	373	18	m	m	PROPN
ejpam-5462	373	19	vinagre	vinagre	PROPN
ejpam-5462	373	20	jara	jara	PROPN
ejpam-5462	373	21	.	.	PUNCT
ejpam-5462	373	22	matrix	matrix	NOUN
ejpam-5462	373	23	approach	approach	NOUN
ejpam-5462	373	24	to	to	PART
ejpam-5462	373	25	discrete	discrete	VERB
ejpam-5462	373	26	fractional	fractional	ADJ
ejpam-5462	373	27	calculus	calculus	NOUN
ejpam-5462	373	28	ii	ii	PROPN
ejpam-5462	373	29	:	:	PUNCT
ejpam-5462	373	30	partial	partial	ADJ
ejpam-5462	373	31	fractional	fractional	ADJ
ejpam-5462	373	32	differential	differential	ADJ
ejpam-5462	373	33	equations	equation	NOUN
ejpam-5462	373	34	.	.	PUNCT
ejpam-5462	374	1	journal	journal	NOUN
ejpam-5462	374	2	of	of	ADP
ejpam-5462	374	3	computational	computational	ADJ
ejpam-5462	374	4	physics	physic	NOUN
ejpam-5462	374	5	,	,	PUNCT
ejpam-5462	374	6	228(8):3137–3153	228(8):3137–3153	NUM
ejpam-5462	374	7	,	,	PUNCT
ejpam-5462	374	8	2009	2009	NUM
ejpam-5462	374	9	.	.	PUNCT
ejpam-5462	375	1	[	[	X
ejpam-5462	375	2	36	36	NUM
ejpam-5462	375	3	]	]	X
ejpam-5462	375	4	ahmad	ahmad	PROPN
ejpam-5462	375	5	qazza	qazza	PROPN
ejpam-5462	375	6	,	,	PUNCT
ejpam-5462	375	7	mohamed	mohamed	PROPN
ejpam-5462	375	8	abdoon	abdoon	PROPN
ejpam-5462	375	9	,	,	PUNCT
ejpam-5462	375	10	rania	rania	PROPN
ejpam-5462	375	11	saadeh	saadeh	PROPN
ejpam-5462	375	12	,	,	PUNCT
ejpam-5462	375	13	and	and	CCONJ
ejpam-5462	375	14	mohammed	mohammed	PROPN
ejpam-5462	375	15	berir	berir	PROPN
ejpam-5462	375	16	.	.	PUNCT
ejpam-5462	376	1	a	a	DET
ejpam-5462	376	2	new	new	ADJ
ejpam-5462	376	3	scheme	scheme	NOUN
ejpam-5462	376	4	for	for	ADP
ejpam-5462	376	5	solving	solve	VERB
ejpam-5462	376	6	a	a	DET
ejpam-5462	376	7	fractional	fractional	ADJ
ejpam-5462	376	8	differential	differential	ADJ
ejpam-5462	376	9	equation	equation	NOUN
ejpam-5462	376	10	and	and	CCONJ
ejpam-5462	376	11	a	a	DET
ejpam-5462	376	12	chaotic	chaotic	ADJ
ejpam-5462	376	13	system	system	NOUN
ejpam-5462	376	14	.	.	PUNCT
ejpam-5462	377	1	european	european	PROPN
ejpam-5462	377	2	journal	journal	PROPN
ejpam-5462	377	3	of	of	ADP
ejpam-5462	377	4	pure	pure	ADJ
ejpam-5462	377	5	and	and	CCONJ
ejpam-5462	377	6	applied	applied	ADJ
ejpam-5462	377	7	mathematics	mathematic	NOUN
ejpam-5462	377	8	,	,	PUNCT
ejpam-5462	377	9	16(2):1128–1139	16(2):1128–1139	NUM
ejpam-5462	377	10	,	,	PUNCT
ejpam-5462	377	11	2023	2023	NUM
ejpam-5462	377	12	.	.	PUNCT
ejpam-5462	378	1	[	[	X
ejpam-5462	378	2	37	37	NUM
ejpam-5462	378	3	]	]	X
ejpam-5462	378	4	oe5889510996	oe5889510996	PROPN
ejpam-5462	378	5	rossler	rossler	NOUN
ejpam-5462	378	6	.	.	PUNCT
ejpam-5462	379	1	an	an	DET
ejpam-5462	379	2	equation	equation	NOUN
ejpam-5462	379	3	for	for	ADP
ejpam-5462	379	4	hyperchaos	hyperchaos	PROPN
ejpam-5462	379	5	.	.	PUNCT
ejpam-5462	380	1	physics	physics	NOUN
ejpam-5462	380	2	letters	letter	NOUN
ejpam-5462	380	3	a	a	PRON
ejpam-5462	380	4	,	,	PUNCT
ejpam-5462	380	5	71(2	71(2	NUM
ejpam-5462	380	6	-	-	SYM
ejpam-5462	380	7	3):155	3):155	NUM
ejpam-5462	380	8	–	–	PUNCT
ejpam-5462	380	9	157	157	NUM
ejpam-5462	380	10	,	,	PUNCT
ejpam-5462	380	11	1979	1979	NUM
ejpam-5462	380	12	.	.	PUNCT
ejpam-5462	381	1	[	[	X
ejpam-5462	381	2	38	38	NUM
ejpam-5462	381	3	]	]	X
ejpam-5462	381	4	rania	rania	PROPN
ejpam-5462	381	5	saadeh	saadeh	PROPN
ejpam-5462	381	6	,	,	PUNCT
ejpam-5462	381	7	mohamed	mohamed	PROPN
ejpam-5462	381	8	a.	a.	PROPN
ejpam-5462	381	9	abdoon	abdoon	PROPN
ejpam-5462	381	10	,	,	PUNCT
ejpam-5462	381	11	ahmad	ahmad	PROPN
ejpam-5462	381	12	qazza	qazza	PROPN
ejpam-5462	381	13	,	,	PUNCT
ejpam-5462	381	14	and	and	CCONJ
ejpam-5462	381	15	mohammed	mohammed	PROPN
ejpam-5462	381	16	berir	berir	PROPN
ejpam-5462	381	17	.	.	PUNCT
ejpam-5462	382	1	a	a	DET
ejpam-5462	382	2	numerical	numerical	ADJ
ejpam-5462	382	3	solution	solution	NOUN
ejpam-5462	382	4	of	of	ADP
ejpam-5462	382	5	generalized	generalized	ADJ
ejpam-5462	382	6	caputo	caputo	PROPN
ejpam-5462	382	7	fractional	fractional	ADJ
ejpam-5462	382	8	initial	initial	ADJ
ejpam-5462	382	9	value	value	NOUN
ejpam-5462	382	10	problems	problem	NOUN
ejpam-5462	382	11	.	.	PUNCT
ejpam-5462	383	1	fractal	fractal	ADJ
ejpam-5462	383	2	and	and	CCONJ
ejpam-5462	383	3	fractional	fractional	ADJ
ejpam-5462	383	4	,	,	PUNCT
ejpam-5462	383	5	7(4):332	7(4):332	NUM
ejpam-5462	383	6	,	,	PUNCT
ejpam-5462	383	7	2023	2023	NUM
ejpam-5462	383	8	.	.	PUNCT
ejpam-5462	384	1	[	[	X
ejpam-5462	384	2	39	39	NUM
ejpam-5462	384	3	]	]	PUNCT
ejpam-5462	384	4	stefan	stefan	PROPN
ejpam-5462	384	5	g	g	PROPN
ejpam-5462	384	6	samko	samko	PROPN
ejpam-5462	384	7	.	.	PUNCT
ejpam-5462	385	1	fractional	fractional	ADJ
ejpam-5462	385	2	integration	integration	NOUN
ejpam-5462	385	3	and	and	CCONJ
ejpam-5462	385	4	differentiation	differentiation	NOUN
ejpam-5462	385	5	of	of	ADP
ejpam-5462	385	6	variable	variable	ADJ
ejpam-5462	385	7	order	order	NOUN
ejpam-5462	385	8	.	.	PUNCT
ejpam-5462	386	1	analysis	analysis	NOUN
ejpam-5462	386	2	mathematica	mathematica	PROPN
ejpam-5462	386	3	,	,	PUNCT
ejpam-5462	386	4	21(3):213–236	21(3):213–236	PROPN
ejpam-5462	386	5	,	,	PUNCT
ejpam-5462	386	6	1995	1995	NUM
ejpam-5462	386	7	.	.	PUNCT
ejpam-5462	387	1	[	[	X
ejpam-5462	387	2	40	40	NUM
ejpam-5462	387	3	]	]	PUNCT
ejpam-5462	387	4	shivani	shivani	PROPN
ejpam-5462	387	5	sharma	sharma	PROPN
ejpam-5462	387	6	,	,	PUNCT
ejpam-5462	387	7	ravi	ravi	NOUN
ejpam-5462	387	8	shanker	shanker	PROPN
ejpam-5462	387	9	dubey	dubey	PROPN
ejpam-5462	387	10	,	,	PUNCT
ejpam-5462	387	11	and	and	CCONJ
ejpam-5462	387	12	arun	arun	PROPN
ejpam-5462	387	13	chaudhary	chaudhary	PROPN
ejpam-5462	387	14	.	.	PUNCT
ejpam-5462	388	1	caputo	caputo	PROPN
ejpam-5462	388	2	fractional	fractional	PROPN
ejpam-5462	388	3	model	model	NOUN
ejpam-5462	388	4	for	for	ADP
ejpam-5462	388	5	the	the	DET
ejpam-5462	388	6	predator	predator	NOUN
ejpam-5462	388	7	-	-	PUNCT
ejpam-5462	388	8	prey	prey	NOUN
ejpam-5462	388	9	relation	relation	NOUN
ejpam-5462	388	10	with	with	ADP
ejpam-5462	388	11	sickness	sickness	NOUN
ejpam-5462	388	12	in	in	ADP
ejpam-5462	388	13	prey	prey	NOUN
ejpam-5462	388	14	and	and	CCONJ
ejpam-5462	388	15	refuge	refuge	NOUN
ejpam-5462	388	16	to	to	ADP
ejpam-5462	388	17	susceptible	susceptible	ADJ
ejpam-5462	388	18	prey	prey	NOUN
ejpam-5462	388	19	.	.	PUNCT
ejpam-5462	389	1	international	international	ADJ
ejpam-5462	389	2	journal	journal	NOUN
ejpam-5462	389	3	of	of	ADP
ejpam-5462	389	4	mathematics	mathematic	NOUN
ejpam-5462	389	5	for	for	ADP
ejpam-5462	389	6	industry	industry	NOUN
ejpam-5462	389	7	,	,	PUNCT
ejpam-5462	389	8	2024	2024	NUM
ejpam-5462	389	9	.	.	PUNCT
ejpam-5462	390	1	references	reference	NOUN
ejpam-5462	390	2	3931	3931	NUM
ejpam-5462	390	3	[	[	SYM
ejpam-5462	390	4	41	41	NUM
ejpam-5462	390	5	]	]	X
ejpam-5462	390	6	jagdev	jagdev	PROPN
ejpam-5462	390	7	singh	singh	PROPN
ejpam-5462	390	8	,	,	PUNCT
ejpam-5462	390	9	hassan	hassan	PROPN
ejpam-5462	390	10	kamil	kamil	PROPN
ejpam-5462	390	11	jassim	jassim	PROPN
ejpam-5462	390	12	,	,	PUNCT
ejpam-5462	390	13	devendra	devendra	PROPN
ejpam-5462	390	14	kumar	kumar	PROPN
ejpam-5462	390	15	,	,	PUNCT
ejpam-5462	390	16	and	and	CCONJ
ejpam-5462	390	17	ved	ve	VERB
ejpam-5462	390	18	prakash	prakash	PROPN
ejpam-5462	390	19	dubey	dubey	PROPN
ejpam-5462	390	20	.	.	PUNCT
ejpam-5462	391	1	fractal	fractal	ADJ
ejpam-5462	391	2	dynamics	dynamic	NOUN
ejpam-5462	391	3	and	and	CCONJ
ejpam-5462	391	4	computational	computational	ADJ
ejpam-5462	391	5	analysis	analysis	NOUN
ejpam-5462	391	6	of	of	ADP
ejpam-5462	391	7	local	local	ADJ
ejpam-5462	391	8	fractional	fractional	ADJ
ejpam-5462	391	9	poisson	poisson	NOUN
ejpam-5462	391	10	equations	equation	NOUN
ejpam-5462	391	11	arising	arise	VERB
ejpam-5462	391	12	in	in	ADP
ejpam-5462	391	13	electrostatics	electrostatic	NOUN
ejpam-5462	391	14	.	.	PUNCT
ejpam-5462	392	1	communications	communication	NOUN
ejpam-5462	392	2	in	in	ADP
ejpam-5462	392	3	theoretical	theoretical	ADJ
ejpam-5462	392	4	physics	physics	NOUN
ejpam-5462	392	5	,	,	PUNCT
ejpam-5462	392	6	75(12):125002	75(12):125002	NOUN
ejpam-5462	392	7	,	,	PUNCT
ejpam-5462	392	8	2023	2023	NUM
ejpam-5462	392	9	.	.	PUNCT
ejpam-5462	393	1	[	[	X
ejpam-5462	393	2	42	42	NUM
ejpam-5462	393	3	]	]	X
ejpam-5462	393	4	je	je	X
ejpam-5462	393	5	soĺıs	soĺıs	NOUN
ejpam-5462	393	6	-	-	PUNCT
ejpam-5462	393	7	pérez	pérez	NOUN
ejpam-5462	393	8	,	,	PUNCT
ejpam-5462	393	9	jf	jf	PROPN
ejpam-5462	393	10	gómez	gómez	NOUN
ejpam-5462	393	11	-	-	PUNCT
ejpam-5462	393	12	aguilar	aguilar	ADJ
ejpam-5462	393	13	,	,	PUNCT
ejpam-5462	393	14	and	and	CCONJ
ejpam-5462	393	15	a	a	DET
ejpam-5462	393	16	atangana	atangana	PROPN
ejpam-5462	393	17	.	.	PUNCT
ejpam-5462	393	18	novel	novel	PROPN
ejpam-5462	393	19	numerical	numerical	ADJ
ejpam-5462	393	20	method	method	NOUN
ejpam-5462	393	21	for	for	ADP
ejpam-5462	393	22	solving	solve	VERB
ejpam-5462	393	23	variable	variable	ADJ
ejpam-5462	393	24	-	-	PUNCT
ejpam-5462	393	25	order	order	NOUN
ejpam-5462	393	26	fractional	fractional	ADJ
ejpam-5462	393	27	differential	differential	ADJ
ejpam-5462	393	28	equations	equation	NOUN
ejpam-5462	393	29	with	with	ADP
ejpam-5462	393	30	power	power	NOUN
ejpam-5462	393	31	,	,	PUNCT
ejpam-5462	393	32	exponential	exponential	ADJ
ejpam-5462	393	33	and	and	CCONJ
ejpam-5462	393	34	mittag	mittag	ADJ
ejpam-5462	393	35	-	-	PUNCT
ejpam-5462	393	36	leffler	leffler	NOUN
ejpam-5462	393	37	laws	law	NOUN
ejpam-5462	393	38	.	.	PUNCT
ejpam-5462	394	1	chaos	chaos	NOUN
ejpam-5462	394	2	,	,	PUNCT
ejpam-5462	394	3	solitons	soliton	NOUN
ejpam-5462	394	4	&	&	CCONJ
ejpam-5462	394	5	fractals	fractal	NOUN
ejpam-5462	394	6	,	,	PUNCT
ejpam-5462	394	7	114:175–185	114:175–185	NUM
ejpam-5462	394	8	,	,	PUNCT
ejpam-5462	394	9	2018	2018	NUM
ejpam-5462	394	10	.	.	PUNCT
ejpam-5462	395	1	[	[	X
ejpam-5462	395	2	43	43	NUM
ejpam-5462	395	3	]	]	X
ejpam-5462	395	4	fei	fei	PROPN
ejpam-5462	395	5	yu	yu	PROPN
ejpam-5462	395	6	,	,	PUNCT
ejpam-5462	395	7	li	li	PROPN
ejpam-5462	395	8	liu	liu	PROPN
ejpam-5462	395	9	,	,	PUNCT
ejpam-5462	395	10	shuai	shuai	PROPN
ejpam-5462	395	11	qian	qian	PROPN
ejpam-5462	395	12	,	,	PUNCT
ejpam-5462	395	13	lixiang	lixiang	PROPN
ejpam-5462	395	14	li	li	PROPN
ejpam-5462	395	15	,	,	PUNCT
ejpam-5462	395	16	yuanyuan	yuanyuan	PROPN
ejpam-5462	395	17	huang	huang	PROPN
ejpam-5462	395	18	,	,	PUNCT
ejpam-5462	395	19	changqiong	changqiong	PROPN
ejpam-5462	395	20	shi	shi	PROPN
ejpam-5462	395	21	,	,	PUNCT
ejpam-5462	395	22	shuo	shuo	PROPN
ejpam-5462	395	23	cai	cai	PROPN
ejpam-5462	395	24	,	,	PUNCT
ejpam-5462	395	25	xianming	xianme	VERB
ejpam-5462	395	26	wu	wu	PROPN
ejpam-5462	395	27	,	,	PUNCT
ejpam-5462	395	28	sichun	sichun	PROPN
ejpam-5462	395	29	du	du	PROPN
ejpam-5462	395	30	,	,	PUNCT
ejpam-5462	395	31	and	and	CCONJ
ejpam-5462	395	32	qiuzhen	qiuzhen	PROPN
ejpam-5462	395	33	wan	wan	PROPN
ejpam-5462	395	34	.	.	PUNCT
ejpam-5462	395	35	chaos	chaos	NOUN
ejpam-5462	395	36	-	-	PUNCT
ejpam-5462	395	37	based	base	VERB
ejpam-5462	395	38	application	application	NOUN
ejpam-5462	395	39	of	of	ADP
ejpam-5462	395	40	a	a	DET
ejpam-5462	395	41	novel	novel	ADJ
ejpam-5462	395	42	multistable	multistable	ADJ
ejpam-5462	395	43	5d	5d	NUM
ejpam-5462	395	44	memristive	memristive	ADJ
ejpam-5462	395	45	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	395	46	system	system	NOUN
ejpam-5462	395	47	with	with	ADP
ejpam-5462	395	48	coexisting	coexist	VERB
ejpam-5462	395	49	multiple	multiple	ADJ
ejpam-5462	395	50	attractors	attractor	NOUN
ejpam-5462	395	51	.	.	PUNCT
ejpam-5462	396	1	complexity	complexity	NOUN
ejpam-5462	396	2	,	,	PUNCT
ejpam-5462	396	3	2020(1):8034196	2020(1):8034196	NUM
ejpam-5462	396	4	,	,	PUNCT
ejpam-5462	396	5	2020	2020	NUM
ejpam-5462	396	6	.	.	PUNCT
ejpam-5462	397	1	[	[	X
ejpam-5462	397	2	44	44	NUM
ejpam-5462	397	3	]	]	X
ejpam-5462	397	4	lei	lei	PROPN
ejpam-5462	397	5	zhang	zhang	PROPN
ejpam-5462	397	6	,	,	PUNCT
ejpam-5462	397	7	shaoqiang	shaoqiang	PROPN
ejpam-5462	397	8	tang	tang	PROPN
ejpam-5462	397	9	,	,	PUNCT
ejpam-5462	397	10	and	and	CCONJ
ejpam-5462	397	11	g.	g.	PROPN
ejpam-5462	397	12	he	he	PRON
ejpam-5462	397	13	.	.	PUNCT
ejpam-5462	398	1	(	(	PUNCT
ejpam-5462	398	2	2	2	X
ejpam-5462	398	3	)	)	PUNCT
ejpam-5462	398	4	learning	learn	VERB
ejpam-5462	398	5	chaotic	chaotic	ADJ
ejpam-5462	398	6	systems	system	NOUN
ejpam-5462	398	7	from	from	ADP
ejpam-5462	398	8	noisy	noisy	ADJ
ejpam-5462	398	9	data	datum	NOUN
ejpam-5462	398	10	via	via	ADP
ejpam-5462	398	11	multi	multi	ADJ
ejpam-5462	398	12	-	-	ADJ
ejpam-5462	398	13	step	step	ADJ
ejpam-5462	398	14	optimization	optimization	NOUN
ejpam-5462	398	15	and	and	CCONJ
ejpam-5462	398	16	adaptive	adaptive	ADJ
ejpam-5462	398	17	training	training	NOUN
ejpam-5462	398	18	.	.	PUNCT
ejpam-5462	399	1	chaos	chaos	NOUN
ejpam-5462	399	2	,	,	PUNCT
ejpam-5462	399	3	2022	2022	NUM
ejpam-5462	399	4	.	.	PUNCT
ejpam-5462	400	1	[	[	X
ejpam-5462	400	2	45	45	NUM
ejpam-5462	400	3	]	]	PUNCT
ejpam-5462	400	4	shenli	shenli	NOUN
ejpam-5462	400	5	zhu	zhu	PROPN
ejpam-5462	400	6	,	,	PUNCT
ejpam-5462	400	7	xiaoheng	xiaoheng	PROPN
ejpam-5462	400	8	deng	deng	PROPN
ejpam-5462	400	9	,	,	PUNCT
ejpam-5462	400	10	wendong	wendong	PROPN
ejpam-5462	400	11	zhang	zhang	PROPN
ejpam-5462	400	12	,	,	PUNCT
ejpam-5462	400	13	and	and	CCONJ
ejpam-5462	400	14	congxu	congxu	PROPN
ejpam-5462	400	15	zhu	zhu	PROPN
ejpam-5462	400	16	.	.	PUNCT
ejpam-5462	401	1	construction	construction	NOUN
ejpam-5462	401	2	of	of	ADP
ejpam-5462	401	3	a	a	DET
ejpam-5462	401	4	new	new	ADJ
ejpam-5462	401	5	2d	2d	NUM
ejpam-5462	401	6	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	401	7	map	map	NOUN
ejpam-5462	401	8	with	with	ADP
ejpam-5462	401	9	application	application	NOUN
ejpam-5462	401	10	in	in	ADP
ejpam-5462	401	11	efficient	efficient	ADJ
ejpam-5462	401	12	pseudo	pseudo	NOUN
ejpam-5462	401	13	-	-	ADJ
ejpam-5462	401	14	random	random	ADJ
ejpam-5462	401	15	number	number	NOUN
ejpam-5462	401	16	generator	generator	NOUN
ejpam-5462	401	17	design	design	NOUN
ejpam-5462	401	18	and	and	CCONJ
ejpam-5462	401	19	color	color	NOUN
ejpam-5462	401	20	image	image	NOUN
ejpam-5462	401	21	encryption	encryption	NOUN
ejpam-5462	401	22	.	.	PUNCT
ejpam-5462	402	1	mathematics	mathematic	NOUN
ejpam-5462	402	2	,	,	PUNCT
ejpam-5462	402	3	11(14):3171	11(14):3171	NUM
ejpam-5462	402	4	,	,	PUNCT
ejpam-5462	402	5	2023	2023	NUM
ejpam-5462	402	6	.	.	PUNCT
ejpam-5462	403	1	[	[	X
ejpam-5462	403	2	46	46	NUM
ejpam-5462	403	3	]	]	PUNCT
ejpam-5462	403	4	shenli	shenli	PROPN
ejpam-5462	403	5	zhu	zhu	PROPN
ejpam-5462	403	6	,	,	PUNCT
ejpam-5462	403	7	xiaoheng	xiaoheng	PROPN
ejpam-5462	403	8	deng	deng	PROPN
ejpam-5462	403	9	,	,	PUNCT
ejpam-5462	403	10	wendong	wendong	PROPN
ejpam-5462	403	11	zhang	zhang	PROPN
ejpam-5462	403	12	,	,	PUNCT
ejpam-5462	403	13	and	and	CCONJ
ejpam-5462	403	14	congxu	congxu	PROPN
ejpam-5462	403	15	zhu	zhu	PROPN
ejpam-5462	403	16	.	.	PUNCT
ejpam-5462	404	1	construction	construction	NOUN
ejpam-5462	404	2	of	of	ADP
ejpam-5462	404	3	a	a	DET
ejpam-5462	404	4	new	new	ADJ
ejpam-5462	404	5	2d	2d	NUM
ejpam-5462	404	6	hyperchaotic	hyperchaotic	ADJ
ejpam-5462	404	7	map	map	NOUN
ejpam-5462	404	8	with	with	ADP
ejpam-5462	404	9	application	application	NOUN
ejpam-5462	404	10	in	in	ADP
ejpam-5462	404	11	efficient	efficient	ADJ
ejpam-5462	404	12	pseudo	pseudo	NOUN
ejpam-5462	404	13	-	-	ADJ
ejpam-5462	404	14	random	random	ADJ
ejpam-5462	404	15	number	number	NOUN
ejpam-5462	404	16	generator	generator	NOUN
ejpam-5462	404	17	design	design	NOUN
ejpam-5462	404	18	and	and	CCONJ
ejpam-5462	404	19	color	color	NOUN
ejpam-5462	404	20	image	image	NOUN
ejpam-5462	404	21	encryption	encryption	NOUN
ejpam-5462	404	22	.	.	PUNCT
ejpam-5462	405	1	mathematics	mathematic	NOUN
ejpam-5462	405	2	,	,	PUNCT
ejpam-5462	405	3	11(14):3171	11(14):3171	NUM
ejpam-5462	405	4	,	,	PUNCT
ejpam-5462	405	5	2023	2023	NUM
ejpam-5462	405	6	.	.	PUNCT