id	sid	tid	token	lemma	pos
cana-5461	1	1	mathematical	mathematical	ADJ
cana-5461	1	2	modeling	modeling	NOUN
cana-5461	1	3	of	of	ADP
cana-5461	1	4	human	human	ADJ
cana-5461	1	5	emotions	emotion	NOUN
cana-5461	1	6	using	use	VERB
cana-5461	1	7	neural	neural	ADJ
cana-5461	1	8	network	network	NOUN
cana-5461	1	9	a	a	DET
cana-5461	1	10	qualitative	qualitative	ADJ
cana-5461	1	11	approach	approach	NOUN
cana-5461	1	12	g.	g.	PROPN
cana-5461	1	13	shirisha	shirisha	PROPN
cana-5461	1	14	*	*	PROPN
cana-5461	1	15	1department	1department	NUM
cana-5461	1	16	of	of	ADP
cana-5461	1	17	mathematics	mathematic	NOUN
cana-5461	1	18	,	,	PUNCT
cana-5461	1	19	stanley	stanley	PROPN
cana-5461	1	20	college	college	PROPN
cana-5461	1	21	of	of	ADP
cana-5461	1	22	engineering	engineering	NOUN
cana-5461	1	23	and	and	CCONJ
cana-5461	1	24	technology	technology	NOUN
cana-5461	1	25	for	for	ADP
cana-5461	1	26	women	woman	NOUN
cana-5461	1	27	,	,	PUNCT
cana-5461	1	28	abids	abid	NOUN
cana-5461	1	29	,	,	PUNCT
cana-5461	1	30	hyderabad-500001	hyderabad-500001	ADJ
cana-5461	1	31	,	,	PUNCT
cana-5461	1	32	telangana	telangana	PROPN
cana-5461	1	33	,	,	PUNCT
cana-5461	1	34	india	india	PROPN
cana-5461	1	35	.	.	PUNCT
cana-5461	2	1	deepasiri82@gmail.com	deepasiri82@gmail.com	X
cana-5461	2	2	abstract	abstract	ADV
cana-5461	2	3	in	in	ADP
cana-5461	2	4	this	this	DET
cana-5461	2	5	article	article	NOUN
cana-5461	2	6	,	,	PUNCT
cana-5461	2	7	a	a	DET
cana-5461	2	8	model	model	NOUN
cana-5461	2	9	is	be	AUX
cana-5461	2	10	proposed	propose	VERB
cana-5461	2	11	to	to	PART
cana-5461	2	12	study	study	VERB
cana-5461	2	13	the	the	DET
cana-5461	2	14	impact	impact	NOUN
cana-5461	2	15	of	of	ADP
cana-5461	2	16	concepts	concept	NOUN
cana-5461	2	17	stored	store	VERB
cana-5461	2	18	in	in	ADP
cana-5461	2	19	the	the	DET
cana-5461	2	20	memory	memory	NOUN
cana-5461	2	21	from	from	ADP
cana-5461	2	22	earlier	early	ADJ
cana-5461	2	23	experiences	experience	NOUN
cana-5461	2	24	on	on	ADP
cana-5461	2	25	the	the	DET
cana-5461	2	26	output	output	NOUN
cana-5461	2	27	of	of	ADP
cana-5461	2	28	emotions	emotion	NOUN
cana-5461	2	29	.	.	PUNCT
cana-5461	3	1	the	the	DET
cana-5461	3	2	model	model	NOUN
cana-5461	3	3	with	with	ADP
cana-5461	3	4	constant	constant	ADJ
cana-5461	3	5	and	and	CCONJ
cana-5461	3	6	time	time	NOUN
cana-5461	3	7	-	-	PUNCT
cana-5461	3	8	varying	vary	VERB
cana-5461	3	9	inputs	input	NOUN
cana-5461	3	10	has	have	AUX
cana-5461	3	11	been	be	AUX
cana-5461	3	12	considered	consider	VERB
cana-5461	3	13	.	.	PUNCT
cana-5461	4	1	to	to	PART
cana-5461	4	2	show	show	VERB
cana-5461	4	3	that	that	SCONJ
cana-5461	4	4	the	the	DET
cana-5461	4	5	systems	system	NOUN
cana-5461	4	6	are	be	AUX
cana-5461	4	7	well	well	ADV
cana-5461	4	8	behaved	behave	VERB
cana-5461	4	9	,	,	PUNCT
cana-5461	4	10	sufficient	sufficient	ADJ
cana-5461	4	11	conditions	condition	NOUN
cana-5461	4	12	for	for	ADP
cana-5461	4	13	global	global	ADJ
cana-5461	4	14	asymptotic	asymptotic	ADJ
cana-5461	4	15	stability	stability	NOUN
cana-5461	4	16	are	be	AUX
cana-5461	4	17	derived	derive	VERB
cana-5461	4	18	for	for	ADP
cana-5461	4	19	the	the	DET
cana-5461	4	20	system	system	NOUN
cana-5461	4	21	with	with	ADP
cana-5461	4	22	constant	constant	ADJ
cana-5461	4	23	inputs	input	NOUN
cana-5461	4	24	,	,	PUNCT
cana-5461	4	25	and	and	CCONJ
cana-5461	4	26	sufficient	sufficient	ADJ
cana-5461	4	27	conditions	condition	NOUN
cana-5461	4	28	for	for	ADP
cana-5461	4	29	asymptotic	asymptotic	ADJ
cana-5461	4	30	nearness	nearness	NOUN
cana-5461	4	31	and	and	CCONJ
cana-5461	4	32	boundedness	boundedness	NOUN
cana-5461	4	33	are	be	AUX
cana-5461	4	34	derived	derive	VERB
cana-5461	4	35	for	for	ADP
cana-5461	4	36	the	the	DET
cana-5461	4	37	system	system	NOUN
cana-5461	4	38	with	with	ADP
cana-5461	4	39	time	time	NOUN
cana-5461	4	40	-	-	PUNCT
cana-5461	4	41	varying	vary	VERB
cana-5461	4	42	inputs	input	NOUN
cana-5461	4	43	.	.	PUNCT
cana-5461	5	1	numerical	numerical	ADJ
cana-5461	5	2	examples	example	NOUN
cana-5461	5	3	with	with	ADP
cana-5461	5	4	simulations	simulation	NOUN
cana-5461	5	5	are	be	AUX
cana-5461	5	6	illustrated	illustrate	VERB
cana-5461	5	7	to	to	PART
cana-5461	5	8	support	support	VERB
cana-5461	5	9	the	the	DET
cana-5461	5	10	theory	theory	NOUN
cana-5461	5	11	.	.	PUNCT
cana-5461	6	1	keywords	keyword	NOUN
cana-5461	6	2	:	:	PUNCT
cana-5461	6	3	cooperative	cooperative	ADJ
cana-5461	6	4	and	and	CCONJ
cana-5461	6	5	supportive	supportive	ADJ
cana-5461	6	6	networks	network	NOUN
cana-5461	6	7	,	,	PUNCT
cana-5461	6	8	time	time	NOUN
cana-5461	6	9	delays	delay	NOUN
cana-5461	6	10	,	,	PUNCT
cana-5461	6	11	equilibria	equilibrium	NOUN
cana-5461	6	12	,	,	PUNCT
cana-5461	6	13	global	global	ADJ
cana-5461	6	14	stability	stability	NOUN
cana-5461	6	15	,	,	PUNCT
cana-5461	6	16	emotions	emotion	NOUN
cana-5461	6	17	,	,	PUNCT
cana-5461	6	18	memory	memory	NOUN
cana-5461	6	19	.	.	PUNCT
cana-5461	7	1	mathematics	mathematic	NOUN
cana-5461	7	2	subject	subject	ADJ
cana-5461	7	3	classification	classification	NOUN
cana-5461	7	4	(	(	PUNCT
cana-5461	7	5	2010	2010	NUM
cana-5461	7	6	)	)	PUNCT
cana-5461	7	7	:	:	PUNCT
cana-5461	7	8	34d23	34d23	NUM
cana-5461	7	9	,	,	PUNCT
cana-5461	7	10	34k20	34k20	NUM
cana-5461	7	11	,	,	PUNCT
cana-5461	7	12	91e40	91e40	ADV
cana-5461	7	13	,	,	PUNCT
cana-5461	7	14	92b20	92b20	NUM
cana-5461	7	15	.	.	PUNCT
cana-5461	8	1	1	1	NUM
cana-5461	8	2	introduction	introduction	NOUN
cana-5461	8	3	emotions	emotion	NOUN
cana-5461	8	4	are	be	AUX
cana-5461	8	5	a	a	DET
cana-5461	8	6	class	class	NOUN
cana-5461	8	7	of	of	ADP
cana-5461	8	8	feelings	feeling	NOUN
cana-5461	8	9	which	which	PRON
cana-5461	8	10	act	act	VERB
cana-5461	8	11	as	as	ADP
cana-5461	8	12	a	a	DET
cana-5461	8	13	source	source	NOUN
cana-5461	8	14	of	of	ADP
cana-5461	8	15	non	non	ADJ
cana-5461	8	16	-	-	ADJ
cana-5461	8	17	verbal	verbal	ADJ
cana-5461	8	18	information	information	NOUN
cana-5461	8	19	to	to	PART
cana-5461	8	20	better	well	ADV
cana-5461	8	21	understand	understand	VERB
cana-5461	8	22	what	what	PRON
cana-5461	8	23	is	be	AUX
cana-5461	8	24	being	be	AUX
cana-5461	8	25	communicated	communicate	VERB
cana-5461	8	26	.	.	PUNCT
cana-5461	9	1	a	a	DET
cana-5461	9	2	human	human	ADJ
cana-5461	9	3	being	being	NOUN
cana-5461	9	4	is	be	AUX
cana-5461	9	5	exposed	expose	VERB
cana-5461	9	6	to	to	ADP
cana-5461	9	7	different	different	ADJ
cana-5461	9	8	kinds	kind	NOUN
cana-5461	9	9	of	of	ADP
cana-5461	9	10	emotions	emotion	NOUN
cana-5461	9	11	with	with	ADP
cana-5461	9	12	different	different	ADJ
cana-5461	9	13	degrees	degree	NOUN
cana-5461	9	14	of	of	ADP
cana-5461	9	15	intensity	intensity	NOUN
cana-5461	9	16	by	by	ADP
cana-5461	9	17	various	various	ADJ
cana-5461	9	18	experiences	experience	NOUN
cana-5461	9	19	in	in	ADP
cana-5461	9	20	life	life	NOUN
cana-5461	9	21	.	.	PUNCT
cana-5461	10	1	emotions	emotion	NOUN
cana-5461	10	2	have	have	VERB
cana-5461	10	3	a	a	DET
cana-5461	10	4	huge	huge	ADJ
cana-5461	10	5	impact	impact	NOUN
cana-5461	10	6	on	on	ADP
cana-5461	10	7	the	the	DET
cana-5461	10	8	behavior	behavior	NOUN
cana-5461	10	9	of	of	ADP
cana-5461	10	10	a	a	DET
cana-5461	10	11	person	person	NOUN
cana-5461	10	12	as	as	SCONJ
cana-5461	10	13	they	they	PRON
cana-5461	10	14	get	get	AUX
cana-5461	10	15	influenced	influence	VERB
cana-5461	10	16	through	through	ADP
cana-5461	10	17	motivation	motivation	NOUN
cana-5461	10	18	and	and	CCONJ
cana-5461	10	19	aggression	aggression	NOUN
cana-5461	10	20	.	.	PUNCT
cana-5461	11	1	emotions	emotion	NOUN
cana-5461	11	2	steer	steer	VERB
cana-5461	11	3	the	the	DET
cana-5461	11	4	decision	decision	NOUN
cana-5461	11	5	-	-	PUNCT
cana-5461	11	6	making	make	VERB
cana-5461	11	7	process	process	NOUN
cana-5461	11	8	by	by	ADP
cana-5461	11	9	creating	create	VERB
cana-5461	11	10	certain	certain	ADJ
cana-5461	11	11	feelings	feeling	NOUN
cana-5461	11	12	.	.	PUNCT
cana-5461	12	1	different	different	ADJ
cana-5461	12	2	emotions	emotion	NOUN
cana-5461	12	3	affect	affect	VERB
cana-5461	12	4	decisions	decision	NOUN
cana-5461	12	5	in	in	ADP
cana-5461	12	6	different	different	ADJ
cana-5461	12	7	ways	way	NOUN
cana-5461	12	8	,	,	PUNCT
cana-5461	12	9	like	like	SCONJ
cana-5461	12	10	anger	anger	NOUN
cana-5461	12	11	can	can	AUX
cana-5461	12	12	lead	lead	VERB
cana-5461	12	13	to	to	ADP
cana-5461	12	14	impatience	impatience	NOUN
cana-5461	12	15	,	,	PUNCT
cana-5461	12	16	rash	rash	ADJ
cana-5461	12	17	decision	decision	NOUN
cana-5461	12	18	-	-	PUNCT
cana-5461	12	19	making	making	NOUN
cana-5461	12	20	,	,	PUNCT
cana-5461	12	21	and	and	CCONJ
cana-5461	12	22	if	if	SCONJ
cana-5461	12	23	the	the	DET
cana-5461	12	24	person	person	NOUN
cana-5461	12	25	is	be	AUX
cana-5461	12	26	afraid	afraid	ADJ
cana-5461	12	27	,	,	PUNCT
cana-5461	12	28	the	the	DET
cana-5461	12	29	decisions	decision	NOUN
cana-5461	12	30	may	may	AUX
cana-5461	12	31	be	be	AUX
cana-5461	12	32	uncertain	uncertain	ADJ
cana-5461	12	33	,	,	PUNCT
cana-5461	12	34	and	and	CCONJ
cana-5461	12	35	it	it	PRON
cana-5461	12	36	might	might	AUX
cana-5461	12	37	take	take	VERB
cana-5461	12	38	them	they	PRON
cana-5461	12	39	longer	long	ADV
cana-5461	12	40	to	to	PART
cana-5461	12	41	choose	choose	VERB
cana-5461	12	42	.	.	PUNCT
cana-5461	13	1	emotions	emotion	NOUN
cana-5461	13	2	and	and	CCONJ
cana-5461	13	3	social	social	ADJ
cana-5461	13	4	life	life	NOUN
cana-5461	13	5	are	be	AUX
cana-5461	13	6	intimately	intimately	ADV
cana-5461	13	7	connected	connect	VERB
cana-5461	13	8	;	;	PUNCT
cana-5461	13	9	as	as	ADP
cana-5461	13	10	to	to	ADP
cana-5461	13	11	how	how	SCONJ
cana-5461	13	12	a	a	DET
cana-5461	13	13	person	person	NOUN
cana-5461	13	14	judges	judge	VERB
cana-5461	13	15	or	or	CCONJ
cana-5461	13	16	understands	understand	VERB
cana-5461	13	17	or	or	CCONJ
cana-5461	13	18	forms	form	VERB
cana-5461	13	19	a	a	DET
cana-5461	13	20	relationship	relationship	NOUN
cana-5461	13	21	with	with	ADP
cana-5461	13	22	another	another	DET
cana-5461	13	23	person	person	NOUN
cana-5461	13	24	depends	depend	VERB
cana-5461	13	25	on	on	ADP
cana-5461	13	26	his	his	PRON
cana-5461	13	27	/	/	SYM
cana-5461	13	28	her	her	PRON
cana-5461	13	29	emotions	emotion	NOUN
cana-5461	13	30	.	.	PUNCT
cana-5461	14	1	thus	thus	ADV
cana-5461	14	2	emotions	emotion	NOUN
cana-5461	14	3	have	have	VERB
cana-5461	14	4	a	a	DET
cana-5461	14	5	vital	vital	ADJ
cana-5461	14	6	role	role	NOUN
cana-5461	14	7	in	in	ADP
cana-5461	14	8	day	day	NOUN
cana-5461	14	9	to	to	ADP
cana-5461	14	10	day	day	NOUN
cana-5461	14	11	life	life	NOUN
cana-5461	14	12	of	of	ADP
cana-5461	14	13	a	a	DET
cana-5461	14	14	human	human	ADJ
cana-5461	14	15	being	being	NOUN
cana-5461	14	16	.	.	PUNCT
cana-5461	15	1	the	the	DET
cana-5461	15	2	role	role	NOUN
cana-5461	15	3	of	of	ADP
cana-5461	15	4	emotions	emotion	NOUN
cana-5461	15	5	from	from	ADP
cana-5461	15	6	their	their	PRON
cana-5461	15	7	perspective	perspective	NOUN
cana-5461	15	8	is	be	AUX
cana-5461	15	9	being	be	AUX
cana-5461	15	10	studied	study	VERB
cana-5461	15	11	by	by	ADP
cana-5461	15	12	several	several	ADJ
cana-5461	15	13	researchers	researcher	NOUN
cana-5461	15	14	from	from	ADP
cana-5461	15	15	a	a	DET
cana-5461	15	16	variety	variety	NOUN
cana-5461	15	17	of	of	ADP
cana-5461	15	18	disciplines	discipline	NOUN
cana-5461	15	19	,	,	PUNCT
cana-5461	15	20	including	include	VERB
cana-5461	15	21	the	the	DET
cana-5461	15	22	social	social	ADJ
cana-5461	15	23	sciences	science	NOUN
cana-5461	15	24	,	,	PUNCT
cana-5461	15	25	biological	biological	ADJ
cana-5461	15	26	sciences	science	NOUN
cana-5461	15	27	,	,	PUNCT
cana-5461	15	28	mathematical	mathematical	ADJ
cana-5461	15	29	sciences	science	NOUN
cana-5461	15	30	,	,	PUNCT
cana-5461	15	31	engineering	engineering	NOUN
cana-5461	15	32	sciences	science	NOUN
cana-5461	15	33	,	,	PUNCT
cana-5461	15	34	and	and	CCONJ
cana-5461	15	35	many	many	ADJ
cana-5461	15	36	more	more	ADJ
cana-5461	15	37	.	.	PUNCT
cana-5461	16	1	the	the	DET
cana-5461	16	2	psychological	psychological	ADJ
cana-5461	16	3	aspects	aspect	NOUN
cana-5461	16	4	of	of	ADP
cana-5461	16	5	the	the	DET
cana-5461	16	6	causes	cause	NOUN
cana-5461	16	7	and	and	CCONJ
cana-5461	16	8	article	article	NOUN
cana-5461	16	9	history	history	NOUN
cana-5461	16	10	:	:	PUNCT
cana-5461	16	11	received	receive	VERB
cana-5461	16	12	:	:	PUNCT
cana-5461	16	13	12	12	NUM
cana-5461	16	14	-	-	SYM
cana-5461	16	15	01	01	NUM
cana-5461	16	16	-	-	PUNCT
cana-5461	16	17	2025	2025	NUM
cana-5461	16	18	revised	revise	VERB
cana-5461	16	19	:	:	PUNCT
cana-5461	16	20	15	15	NUM
cana-5461	16	21	-	-	NUM
cana-5461	16	22	02	02	NUM
cana-5461	16	23	-	-	PUNCT
cana-5461	16	24	2025	2025	NUM
cana-5461	16	25	accepted	accept	VERB
cana-5461	16	26	:	:	PUNCT
cana-5461	16	27	01	01	NUM
cana-5461	16	28	-	-	SYM
cana-5461	16	29	03	03	NUM
cana-5461	16	30	-	-	PUNCT
cana-5461	16	31	2025	2025	NUM
cana-5461	16	32	vol	vol	NOUN
cana-5461	16	33	32	32	NUM
cana-5461	16	34	no	no	NOUN
cana-5461	16	35	.	.	PUNCT
cana-5461	17	1	10s(2025	10s(2025	NUM
cana-5461	17	2	)	)	PUNCT
cana-5461	17	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	17	4	communications	communication	NOUN
cana-5461	17	5	on	on	ADP
cana-5461	17	6	applied	apply	VERB
cana-5461	17	7	nonlinear	nonlinear	ADJ
cana-5461	17	8	analysis	analysis	NOUN
cana-5461	17	9	issn:1074	issn:1074	NOUN
cana-5461	17	10	-	-	ADJ
cana-5461	17	11	133x	133x	ADJ
cana-5461	17	12	2346	2346	NUM
cana-5461	17	13	effects	effect	NOUN
cana-5461	17	14	of	of	ADP
cana-5461	17	15	these	these	DET
cana-5461	17	16	emotions	emotion	NOUN
cana-5461	17	17	have	have	AUX
cana-5461	17	18	been	be	AUX
cana-5461	17	19	the	the	DET
cana-5461	17	20	attention	attention	NOUN
cana-5461	17	21	of	of	ADP
cana-5461	17	22	psychologists	psychologist	NOUN
cana-5461	17	23	.	.	PUNCT
cana-5461	18	1	they	they	PRON
cana-5461	18	2	have	have	AUX
cana-5461	18	3	described	describe	VERB
cana-5461	18	4	a	a	DET
cana-5461	18	5	number	number	NOUN
cana-5461	18	6	of	of	ADP
cana-5461	18	7	emotional	emotional	ADJ
cana-5461	18	8	theories	theory	NOUN
cana-5461	18	9	to	to	PART
cana-5461	18	10	anticipate	anticipate	VERB
cana-5461	18	11	or	or	CCONJ
cana-5461	18	12	identify	identify	VERB
cana-5461	18	13	an	an	DET
cana-5461	18	14	individual	individual	NOUN
cana-5461	18	15	’s	’s	PART
cana-5461	18	16	emotion	emotion	NOUN
cana-5461	18	17	.	.	PUNCT
cana-5461	19	1	the	the	DET
cana-5461	19	2	impact	impact	NOUN
cana-5461	19	3	of	of	ADP
cana-5461	19	4	brain	brain	NOUN
cana-5461	19	5	activity	activity	NOUN
cana-5461	19	6	on	on	ADP
cana-5461	19	7	emotions	emotion	NOUN
cana-5461	19	8	and	and	CCONJ
cana-5461	19	9	their	their	PRON
cana-5461	19	10	reactions	reaction	NOUN
cana-5461	19	11	has	have	AUX
cana-5461	19	12	been	be	AUX
cana-5461	19	13	investigated	investigate	VERB
cana-5461	19	14	by	by	ADP
cana-5461	19	15	biologists	biologist	NOUN
cana-5461	19	16	.	.	PUNCT
cana-5461	20	1	computer	computer	NOUN
cana-5461	20	2	scientists	scientist	NOUN
cana-5461	20	3	have	have	AUX
cana-5461	20	4	attempted	attempt	VERB
cana-5461	20	5	to	to	PART
cana-5461	20	6	use	use	VERB
cana-5461	20	7	artificial	artificial	ADJ
cana-5461	20	8	neural	neural	ADJ
cana-5461	20	9	networks	network	NOUN
cana-5461	20	10	to	to	PART
cana-5461	20	11	identify	identify	VERB
cana-5461	20	12	or	or	CCONJ
cana-5461	20	13	predict	predict	VERB
cana-5461	20	14	emotions	emotion	NOUN
cana-5461	20	15	.	.	PUNCT
cana-5461	21	1	various	various	ADJ
cana-5461	21	2	methods	method	NOUN
cana-5461	21	3	have	have	AUX
cana-5461	21	4	been	be	AUX
cana-5461	21	5	used	use	VERB
cana-5461	21	6	by	by	ADP
cana-5461	21	7	mathematicians	mathematician	NOUN
cana-5461	21	8	to	to	PART
cana-5461	21	9	attempt	attempt	VERB
cana-5461	21	10	to	to	PART
cana-5461	21	11	formulate	formulate	VERB
cana-5461	21	12	a	a	DET
cana-5461	21	13	mathematical	mathematical	ADJ
cana-5461	21	14	model	model	NOUN
cana-5461	21	15	for	for	ADP
cana-5461	21	16	emotions	emotion	NOUN
cana-5461	21	17	.	.	PUNCT
cana-5461	22	1	in	in	ADP
cana-5461	22	2	psychology	psychology	NOUN
cana-5461	22	3	,	,	PUNCT
cana-5461	22	4	according	accord	VERB
cana-5461	22	5	to	to	ADP
cana-5461	22	6	the	the	DET
cana-5461	22	7	classical	classical	ADJ
cana-5461	22	8	view	view	NOUN
cana-5461	22	9	of	of	ADP
cana-5461	22	10	emotion	emotion	NOUN
cana-5461	22	11	,	,	PUNCT
cana-5461	22	12	emotions	emotion	NOUN
cana-5461	22	13	can	can	AUX
cana-5461	22	14	be	be	AUX
cana-5461	22	15	assessed	assess	VERB
cana-5461	22	16	objectively	objectively	ADV
cana-5461	22	17	and	and	CCONJ
cana-5461	22	18	accurately	accurately	ADV
cana-5461	22	19	through	through	ADP
cana-5461	22	20	facial	facial	ADJ
cana-5461	22	21	expressions	expression	NOUN
cana-5461	22	22	.	.	PUNCT
cana-5461	23	1	but	but	CCONJ
cana-5461	23	2	in	in	ADP
cana-5461	23	3	recent	recent	ADJ
cana-5461	23	4	literature	literature	NOUN
cana-5461	23	5	it	it	PRON
cana-5461	23	6	is	be	AUX
cana-5461	23	7	said	say	VERB
cana-5461	23	8	that	that	SCONJ
cana-5461	23	9	the	the	DET
cana-5461	23	10	facial	facial	ADJ
cana-5461	23	11	expressions	expression	NOUN
cana-5461	23	12	or	or	CCONJ
cana-5461	23	13	heart	heart	NOUN
cana-5461	23	14	rate	rate	NOUN
cana-5461	23	15	variability	variability	NOUN
cana-5461	23	16	or	or	CCONJ
cana-5461	23	17	body	body	NOUN
cana-5461	23	18	movements	movement	NOUN
cana-5461	23	19	do	do	AUX
cana-5461	23	20	n’t	not	PART
cana-5461	23	21	give	give	VERB
cana-5461	23	22	fingerprints	fingerprint	NOUN
cana-5461	23	23	to	to	ADP
cana-5461	23	24	a	a	DET
cana-5461	23	25	particular	particular	ADJ
cana-5461	23	26	emotion	emotion	NOUN
cana-5461	23	27	,	,	PUNCT
cana-5461	23	28	i.e.	i.e.	X
cana-5461	23	29	,	,	PUNCT
cana-5461	23	30	the	the	DET
cana-5461	23	31	particular	particular	ADJ
cana-5461	23	32	pattern	pattern	NOUN
cana-5461	23	33	of	of	ADP
cana-5461	23	34	body	body	NOUN
cana-5461	23	35	movement	movement	NOUN
cana-5461	23	36	or	or	CCONJ
cana-5461	23	37	facial	facial	ADJ
cana-5461	23	38	expression	expression	NOUN
cana-5461	23	39	may	may	AUX
cana-5461	23	40	not	not	PART
cana-5461	23	41	represent	represent	VERB
cana-5461	23	42	a	a	DET
cana-5461	23	43	particular	particular	ADJ
cana-5461	23	44	emotion	emotion	NOUN
cana-5461	23	45	i.e.	i.e.	ADV
cana-5461	23	46	,	,	PUNCT
cana-5461	23	47	a	a	DET
cana-5461	23	48	smile	smile	NOUN
cana-5461	23	49	on	on	ADP
cana-5461	23	50	a	a	DET
cana-5461	23	51	face	face	NOUN
cana-5461	23	52	or	or	CCONJ
cana-5461	23	53	furrow	furrow	VERB
cana-5461	23	54	on	on	ADP
cana-5461	23	55	your	your	PRON
cana-5461	23	56	brow	brow	NOUN
cana-5461	23	57	may	may	AUX
cana-5461	23	58	not	not	PART
cana-5461	23	59	always	always	ADV
cana-5461	23	60	represent	represent	VERB
cana-5461	23	61	happiness	happiness	NOUN
cana-5461	23	62	or	or	CCONJ
cana-5461	23	63	anger	anger	NOUN
cana-5461	23	64	[	[	X
cana-5461	23	65	2	2	NUM
cana-5461	23	66	,	,	PUNCT
cana-5461	23	67	9	9	NUM
cana-5461	23	68	,	,	PUNCT
cana-5461	23	69	10	10	NUM
cana-5461	23	70	]	]	PUNCT
cana-5461	23	71	.	.	PUNCT
cana-5461	24	1	when	when	SCONJ
cana-5461	24	2	a	a	DET
cana-5461	24	3	person	person	NOUN
cana-5461	24	4	is	be	AUX
cana-5461	24	5	angry	angry	ADJ
cana-5461	24	6	,	,	PUNCT
cana-5461	24	7	the	the	DET
cana-5461	24	8	way	way	NOUN
cana-5461	24	9	he	he	PRON
cana-5461	24	10	gives	give	VERB
cana-5461	24	11	response	response	NOUN
cana-5461	24	12	varies	vary	VERB
cana-5461	24	13	from	from	ADP
cana-5461	24	14	person	person	NOUN
cana-5461	24	15	to	to	ADP
cana-5461	24	16	person	person	NOUN
cana-5461	24	17	,	,	PUNCT
cana-5461	24	18	they	they	PRON
cana-5461	24	19	may	may	AUX
cana-5461	24	20	express	express	VERB
cana-5461	24	21	it	it	PRON
cana-5461	24	22	with	with	ADP
cana-5461	24	23	a	a	DET
cana-5461	24	24	scowl	scowl	NOUN
cana-5461	24	25	or	or	CCONJ
cana-5461	24	26	with	with	ADP
cana-5461	24	27	glowering	glower	VERB
cana-5461	24	28	looks	look	NOUN
cana-5461	24	29	or	or	CCONJ
cana-5461	24	30	by	by	ADP
cana-5461	24	31	shouting	shout	VERB
cana-5461	24	32	or	or	CCONJ
cana-5461	24	33	they	they	PRON
cana-5461	24	34	may	may	AUX
cana-5461	24	35	become	become	VERB
cana-5461	24	36	quiet	quiet	ADJ
cana-5461	24	37	.	.	PUNCT
cana-5461	25	1	thus	thus	ADV
cana-5461	25	2	,	,	PUNCT
cana-5461	25	3	there	there	PRON
cana-5461	25	4	is	be	VERB
cana-5461	25	5	no	no	DET
cana-5461	25	6	particular	particular	ADJ
cana-5461	25	7	fingerprint	fingerprint	NOUN
cana-5461	25	8	for	for	ADP
cana-5461	25	9	any	any	DET
cana-5461	25	10	emotion	emotion	NOUN
cana-5461	25	11	,	,	PUNCT
cana-5461	25	12	it	it	PRON
cana-5461	25	13	varies	vary	VERB
cana-5461	25	14	from	from	ADP
cana-5461	25	15	person	person	NOUN
cana-5461	25	16	to	to	ADP
cana-5461	25	17	person	person	NOUN
cana-5461	25	18	and	and	CCONJ
cana-5461	25	19	time	time	NOUN
cana-5461	25	20	to	to	ADP
cana-5461	25	21	time	time	NOUN
cana-5461	25	22	.	.	PUNCT
cana-5461	26	1	but	but	CCONJ
cana-5461	26	2	how	how	SCONJ
cana-5461	26	3	does	do	AUX
cana-5461	26	4	the	the	DET
cana-5461	26	5	brain	brain	NOUN
cana-5461	26	6	guide	guide	VERB
cana-5461	26	7	us	we	PRON
cana-5461	26	8	to	to	PART
cana-5461	26	9	take	take	VERB
cana-5461	26	10	a	a	DET
cana-5461	26	11	particular	particular	ADJ
cana-5461	26	12	action	action	NOUN
cana-5461	26	13	for	for	ADP
cana-5461	26	14	different	different	ADJ
cana-5461	26	15	emotions	emotion	NOUN
cana-5461	26	16	based	base	VERB
cana-5461	26	17	on	on	ADP
cana-5461	26	18	the	the	DET
cana-5461	26	19	situation	situation	NOUN
cana-5461	26	20	?	?	PUNCT
cana-5461	27	1	this	this	PRON
cana-5461	27	2	is	be	AUX
cana-5461	27	3	a	a	DET
cana-5461	27	4	key	key	ADJ
cana-5461	27	5	point	point	NOUN
cana-5461	27	6	on	on	ADP
cana-5461	27	7	which	which	PRON
cana-5461	27	8	many	many	ADJ
cana-5461	27	9	researchers	researcher	NOUN
cana-5461	27	10	are	be	AUX
cana-5461	27	11	working	work	VERB
cana-5461	27	12	.	.	PUNCT
cana-5461	28	1	it	it	PRON
cana-5461	28	2	is	be	AUX
cana-5461	28	3	said	say	VERB
cana-5461	28	4	in	in	ADP
cana-5461	28	5	[	[	X
cana-5461	28	6	2	2	X
cana-5461	28	7	]	]	PUNCT
cana-5461	28	8	that	that	SCONJ
cana-5461	28	9	these	these	DET
cana-5461	28	10	actions	action	NOUN
cana-5461	28	11	for	for	ADP
cana-5461	28	12	emotions	emotion	NOUN
cana-5461	28	13	are	be	AUX
cana-5461	28	14	generated	generate	VERB
cana-5461	28	15	by	by	ADP
cana-5461	28	16	the	the	DET
cana-5461	28	17	brain	brain	NOUN
cana-5461	28	18	by	by	ADP
cana-5461	28	19	using	use	VERB
cana-5461	28	20	the	the	DET
cana-5461	28	21	concepts	concept	NOUN
cana-5461	28	22	stored	store	VERB
cana-5461	28	23	in	in	ADP
cana-5461	28	24	memory	memory	NOUN
cana-5461	28	25	from	from	ADP
cana-5461	28	26	earlier	early	ADJ
cana-5461	28	27	experiences	experience	NOUN
cana-5461	28	28	.	.	PUNCT
cana-5461	29	1	we	we	PRON
cana-5461	29	2	will	will	AUX
cana-5461	29	3	try	try	VERB
cana-5461	29	4	to	to	PART
cana-5461	29	5	model	model	VERB
cana-5461	29	6	this	this	DET
cana-5461	29	7	idea	idea	NOUN
cana-5461	29	8	of	of	ADP
cana-5461	29	9	how	how	SCONJ
cana-5461	29	10	the	the	DET
cana-5461	29	11	past	past	ADJ
cana-5461	29	12	experiences	experience	NOUN
cana-5461	29	13	will	will	AUX
cana-5461	29	14	contribute	contribute	VERB
cana-5461	29	15	to	to	ADP
cana-5461	29	16	the	the	DET
cana-5461	29	17	present	present	ADJ
cana-5461	29	18	outcome	outcome	NOUN
cana-5461	29	19	of	of	ADP
cana-5461	29	20	emotion	emotion	NOUN
cana-5461	29	21	.	.	PUNCT
cana-5461	30	1	as	as	SCONJ
cana-5461	30	2	we	we	PRON
cana-5461	30	3	will	will	AUX
cana-5461	30	4	be	be	AUX
cana-5461	30	5	dealing	deal	VERB
cana-5461	30	6	with	with	ADP
cana-5461	30	7	mathematical	mathematical	ADJ
cana-5461	30	8	models	model	NOUN
cana-5461	30	9	and	and	CCONJ
cana-5461	30	10	neural	neural	ADJ
cana-5461	30	11	networks	network	NOUN
cana-5461	30	12	,	,	PUNCT
cana-5461	30	13	we	we	PRON
cana-5461	30	14	will	will	AUX
cana-5461	30	15	see	see	VERB
cana-5461	30	16	some	some	PRON
cana-5461	30	17	of	of	ADP
cana-5461	30	18	the	the	DET
cana-5461	30	19	works	work	NOUN
cana-5461	30	20	of	of	ADP
cana-5461	30	21	mathematicians	mathematician	NOUN
cana-5461	30	22	and	and	CCONJ
cana-5461	30	23	computer	computer	NOUN
cana-5461	30	24	scientists	scientist	NOUN
cana-5461	30	25	on	on	ADP
cana-5461	30	26	emotions	emotion	NOUN
cana-5461	30	27	.	.	PUNCT
cana-5461	31	1	mathematical	mathematical	ADJ
cana-5461	31	2	models	model	NOUN
cana-5461	31	3	to	to	PART
cana-5461	31	4	study	study	VERB
cana-5461	31	5	emotions	emotion	NOUN
cana-5461	31	6	are	be	AUX
cana-5461	31	7	proposed	propose	VERB
cana-5461	31	8	in	in	ADP
cana-5461	31	9	[	[	X
cana-5461	31	10	3,7,11	3,7,11	NUM
cana-5461	31	11	]	]	PUNCT
cana-5461	31	12	.	.	PUNCT
cana-5461	32	1	various	various	ADJ
cana-5461	32	2	neural	neural	ADJ
cana-5461	32	3	networks	network	NOUN
cana-5461	32	4	for	for	ADP
cana-5461	32	5	studying	study	VERB
cana-5461	32	6	emotions	emotion	NOUN
cana-5461	32	7	were	be	AUX
cana-5461	32	8	introduced	introduce	VERB
cana-5461	32	9	and	and	CCONJ
cana-5461	32	10	studied	study	VERB
cana-5461	32	11	in	in	ADP
cana-5461	32	12	[	[	X
cana-5461	32	13	46	46	NUM
cana-5461	32	14	,	,	PUNCT
cana-5461	32	15	8	8	NUM
cana-5461	32	16	,	,	PUNCT
cana-5461	32	17	16	16	NUM
cana-5461	32	18	-	-	SYM
cana-5461	32	19	17	17	NUM
cana-5461	32	20	,	,	PUNCT
cana-5461	32	21	21	21	NUM
cana-5461	32	22	,	,	PUNCT
cana-5461	32	23	23	23	NUM
cana-5461	32	24	]	]	PUNCT
cana-5461	32	25	.	.	PUNCT
cana-5461	33	1	most	most	ADJ
cana-5461	33	2	of	of	ADP
cana-5461	33	3	the	the	DET
cana-5461	33	4	research	research	NOUN
cana-5461	33	5	was	be	AUX
cana-5461	33	6	to	to	PART
cana-5461	33	7	predict	predict	VERB
cana-5461	33	8	or	or	CCONJ
cana-5461	33	9	recognize	recognize	VERB
cana-5461	33	10	the	the	DET
cana-5461	33	11	emotions	emotion	NOUN
cana-5461	33	12	,	,	PUNCT
cana-5461	33	13	which	which	PRON
cana-5461	33	14	has	have	VERB
cana-5461	33	15	a	a	DET
cana-5461	33	16	wide	wide	ADJ
cana-5461	33	17	application	application	NOUN
cana-5461	33	18	in	in	ADP
cana-5461	33	19	the	the	DET
cana-5461	33	20	fields	field	NOUN
cana-5461	33	21	of	of	ADP
cana-5461	33	22	marketing	marketing	NOUN
cana-5461	33	23	,	,	PUNCT
cana-5461	33	24	media	medium	NOUN
cana-5461	33	25	and	and	CCONJ
cana-5461	33	26	communication	communication	NOUN
cana-5461	33	27	,	,	PUNCT
cana-5461	33	28	economic	economic	ADJ
cana-5461	33	29	theory	theory	NOUN
cana-5461	33	30	,	,	PUNCT
cana-5461	33	31	banking	banking	NOUN
cana-5461	33	32	,	,	PUNCT
cana-5461	33	33	hospitality	hospitality	NOUN
cana-5461	33	34	industry	industry	NOUN
cana-5461	33	35	,	,	PUNCT
cana-5461	33	36	etc	etc	X
cana-5461	33	37	.	.	X
cana-5461	34	1	we	we	PRON
cana-5461	34	2	will	will	AUX
cana-5461	34	3	focus	focus	VERB
cana-5461	34	4	on	on	ADP
cana-5461	34	5	the	the	DET
cana-5461	34	6	study	study	NOUN
cana-5461	34	7	of	of	ADP
cana-5461	34	8	emotions	emotion	NOUN
cana-5461	34	9	based	base	VERB
cana-5461	34	10	on	on	ADP
cana-5461	34	11	the	the	DET
cana-5461	34	12	previous	previous	ADJ
cana-5461	34	13	experiences	experience	NOUN
cana-5461	34	14	,	,	PUNCT
cana-5461	34	15	which	which	PRON
cana-5461	34	16	will	will	AUX
cana-5461	34	17	help	help	VERB
cana-5461	34	18	us	we	PRON
cana-5461	34	19	to	to	PART
cana-5461	34	20	predict	predict	VERB
cana-5461	34	21	the	the	DET
cana-5461	34	22	outcome	outcome	NOUN
cana-5461	34	23	of	of	ADP
cana-5461	34	24	it	it	PRON
cana-5461	34	25	.	.	PUNCT
cana-5461	35	1	in	in	ADP
cana-5461	35	2	this	this	DET
cana-5461	35	3	paper	paper	NOUN
cana-5461	35	4	,	,	PUNCT
cana-5461	35	5	we	we	PRON
cana-5461	35	6	have	have	AUX
cana-5461	35	7	tried	try	VERB
cana-5461	35	8	to	to	PART
cana-5461	35	9	understand	understand	VERB
cana-5461	35	10	how	how	SCONJ
cana-5461	35	11	the	the	DET
cana-5461	35	12	concepts	concept	NOUN
cana-5461	35	13	stored	store	VERB
cana-5461	35	14	in	in	ADP
cana-5461	35	15	the	the	DET
cana-5461	35	16	memory	memory	NOUN
cana-5461	35	17	of	of	ADP
cana-5461	35	18	past	past	ADJ
cana-5461	35	19	experiences	experience	NOUN
cana-5461	35	20	contribute	contribute	VERB
cana-5461	35	21	to	to	ADP
cana-5461	35	22	the	the	DET
cana-5461	35	23	output	output	NOUN
cana-5461	35	24	of	of	ADP
cana-5461	35	25	an	an	DET
cana-5461	35	26	emotion	emotion	NOUN
cana-5461	35	27	using	use	VERB
cana-5461	35	28	a	a	DET
cana-5461	35	29	cooperative	cooperative	ADJ
cana-5461	35	30	and	and	CCONJ
cana-5461	35	31	supportive	supportive	ADJ
cana-5461	35	32	neural	neural	ADJ
cana-5461	35	33	network	network	NOUN
cana-5461	35	34	(	(	PUNCT
cana-5461	35	35	csnn	csnn	NOUN
cana-5461	35	36	)	)	PUNCT
cana-5461	35	37	model	model	NOUN
cana-5461	35	38	.	.	PUNCT
cana-5461	36	1	csnn	csnn	ADJ
cana-5461	36	2	concentrates	concentrate	NOUN
cana-5461	36	3	on	on	ADP
cana-5461	36	4	the	the	DET
cana-5461	36	5	contribution	contribution	NOUN
cana-5461	36	6	of	of	ADP
cana-5461	36	7	collective	collective	ADJ
cana-5461	36	8	capabilities	capability	NOUN
cana-5461	36	9	and	and	CCONJ
cana-5461	36	10	distributive	distributive	ADJ
cana-5461	36	11	operations	operation	NOUN
cana-5461	36	12	of	of	ADP
cana-5461	36	13	neurons	neuron	NOUN
cana-5461	36	14	.	.	PUNCT
cana-5461	37	1	csnn	csnn	NOUN
cana-5461	37	2	is	be	AUX
cana-5461	37	3	a	a	DET
cana-5461	37	4	more	more	ADV
cana-5461	37	5	reliable	reliable	ADJ
cana-5461	37	6	model	model	NOUN
cana-5461	37	7	that	that	PRON
cana-5461	37	8	can	can	AUX
cana-5461	37	9	be	be	AUX
cana-5461	37	10	used	use	VERB
cana-5461	37	11	for	for	ADP
cana-5461	37	12	classification	classification	NOUN
cana-5461	37	13	and	and	CCONJ
cana-5461	37	14	clustering	clustering	NOUN
cana-5461	37	15	problems	problem	NOUN
cana-5461	37	16	,	,	PUNCT
cana-5461	37	17	data	data	NOUN
cana-5461	37	18	mining	mining	NOUN
cana-5461	37	19	,	,	PUNCT
cana-5461	37	20	financial	financial	ADJ
cana-5461	37	21	and	and	CCONJ
cana-5461	37	22	economic	economic	ADJ
cana-5461	37	23	systems	system	NOUN
cana-5461	37	24	,	,	PUNCT
cana-5461	37	25	and	and	CCONJ
cana-5461	37	26	industrial	industrial	ADJ
cana-5461	37	27	information	information	NOUN
cana-5461	37	28	systems	system	NOUN
cana-5461	37	29	.	.	PUNCT
cana-5461	38	1	csnn	csnn	ADJ
cana-5461	38	2	model	model	NOUN
cana-5461	38	3	was	be	AUX
cana-5461	38	4	propounded	propound	VERB
cana-5461	38	5	in	in	ADP
cana-5461	38	6	[	[	X
cana-5461	38	7	19	19	NUM
cana-5461	38	8	]	]	PUNCT
cana-5461	38	9	and	and	CCONJ
cana-5461	38	10	various	various	ADJ
cana-5461	38	11	modifications	modification	NOUN
cana-5461	38	12	of	of	ADP
cana-5461	38	13	the	the	DET
cana-5461	38	14	system	system	NOUN
cana-5461	38	15	were	be	AUX
cana-5461	38	16	studied	study	VERB
cana-5461	38	17	in	in	ADP
cana-5461	38	18	[	[	PUNCT
cana-5461	38	19	12	12	NUM
cana-5461	38	20	-	-	SYM
cana-5461	38	21	14	14	NUM
cana-5461	38	22	]	]	PUNCT
cana-5461	38	23	.	.	PUNCT
cana-5461	39	1	this	this	DET
cana-5461	39	2	network	network	NOUN
cana-5461	39	3	was	be	AUX
cana-5461	39	4	considered	consider	VERB
cana-5461	39	5	for	for	ADP
cana-5461	39	6	estimation	estimation	NOUN
cana-5461	39	7	of	of	ADP
cana-5461	39	8	key	key	ADJ
cana-5461	39	9	parameters	parameter	NOUN
cana-5461	39	10	in	in	ADP
cana-5461	39	11	infectious	infectious	ADJ
cana-5461	39	12	disease	disease	NOUN
cana-5461	39	13	models	model	NOUN
cana-5461	39	14	[	[	X
cana-5461	39	15	17	17	NUM
cana-5461	39	16	]	]	PUNCT
cana-5461	39	17	and	and	CCONJ
cana-5461	39	18	in	in	ADP
cana-5461	39	19	a	a	DET
cana-5461	39	20	recent	recent	ADJ
cana-5461	39	21	study	study	NOUN
cana-5461	39	22	,	,	PUNCT
cana-5461	39	23	it	it	PRON
cana-5461	39	24	was	be	AUX
cana-5461	39	25	used	use	VERB
cana-5461	39	26	to	to	PART
cana-5461	39	27	understand	understand	VERB
cana-5461	39	28	the	the	DET
cana-5461	39	29	interaction	interaction	NOUN
cana-5461	39	30	between	between	ADP
cana-5461	39	31	the	the	DET
cana-5461	39	32	focal	focal	ADJ
cana-5461	39	33	and	and	CCONJ
cana-5461	39	34	non	non	ADJ
cana-5461	39	35	-	-	ADJ
cana-5461	39	36	focal	focal	ADJ
cana-5461	39	37	parts	part	NOUN
cana-5461	39	38	of	of	ADP
cana-5461	39	39	the	the	DET
cana-5461	39	40	human	human	ADJ
cana-5461	39	41	brain	brain	NOUN
cana-5461	40	1	[	[	X
cana-5461	40	2	15	15	NUM
cana-5461	40	3	]	]	PUNCT
cana-5461	40	4	.	.	PUNCT
cana-5461	41	1	the	the	DET
cana-5461	41	2	paper	paper	NOUN
cana-5461	41	3	is	be	AUX
cana-5461	41	4	organised	organise	VERB
cana-5461	41	5	as	as	SCONJ
cana-5461	41	6	follows	follow	VERB
cana-5461	41	7	.	.	PUNCT
cana-5461	42	1	in	in	ADP
cana-5461	42	2	section	section	NOUN
cana-5461	42	3	2	2	NUM
cana-5461	42	4	,	,	PUNCT
cana-5461	42	5	the	the	DET
cana-5461	42	6	generalised	generalise	VERB
cana-5461	42	7	csnn	csnn	ADJ
cana-5461	42	8	model	model	NOUN
cana-5461	42	9	with	with	ADP
cana-5461	42	10	constant	constant	ADJ
cana-5461	42	11	inputs	input	NOUN
cana-5461	42	12	has	have	AUX
cana-5461	42	13	been	be	AUX
cana-5461	42	14	described	describe	VERB
cana-5461	42	15	in	in	ADP
cana-5461	42	16	terms	term	NOUN
cana-5461	42	17	of	of	ADP
cana-5461	42	18	our	our	PRON
cana-5461	42	19	preposition	preposition	NOUN
cana-5461	42	20	,	,	PUNCT
cana-5461	42	21	and	and	CCONJ
cana-5461	42	22	its	its	PRON
cana-5461	42	23	behaviour	behaviour	NOUN
cana-5461	42	24	has	have	VERB
cana-5461	42	25	2	2	NUM
cana-5461	42	26	vol	vol	NOUN
cana-5461	42	27	32	32	NUM
cana-5461	42	28	no	no	NOUN
cana-5461	42	29	.	.	PUNCT
cana-5461	43	1	10s(2025	10s(2025	NUM
cana-5461	43	2	)	)	PUNCT
cana-5461	43	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	43	4	communications	communication	NOUN
cana-5461	43	5	on	on	ADP
cana-5461	43	6	applied	apply	VERB
cana-5461	43	7	nonlinear	nonlinear	ADJ
cana-5461	43	8	analysis	analysis	NOUN
cana-5461	43	9	issn:1074	issn:1074	NOUN
cana-5461	43	10	-	-	NOUN
cana-5461	43	11	133x	133x	NUM
cana-5461	43	12	2347	2347	NUM
cana-5461	43	13	been	be	AUX
cana-5461	43	14	studied	study	VERB
cana-5461	43	15	by	by	ADP
cana-5461	43	16	deriving	derive	VERB
cana-5461	43	17	sufficient	sufficient	ADJ
cana-5461	43	18	conditions	condition	NOUN
cana-5461	43	19	for	for	ADP
cana-5461	43	20	global	global	ADJ
cana-5461	43	21	asymptotic	asymptotic	ADJ
cana-5461	43	22	stability	stability	NOUN
cana-5461	43	23	.	.	PUNCT
cana-5461	44	1	in	in	ADP
cana-5461	44	2	section	section	NOUN
cana-5461	44	3	3	3	NUM
cana-5461	44	4	,	,	PUNCT
cana-5461	44	5	the	the	DET
cana-5461	44	6	generalised	generalise	VERB
cana-5461	44	7	csnn	csnn	ADJ
cana-5461	44	8	model	model	NOUN
cana-5461	44	9	with	with	ADP
cana-5461	44	10	time	time	NOUN
cana-5461	44	11	-	-	PUNCT
cana-5461	44	12	varying	vary	VERB
cana-5461	44	13	inputs	input	NOUN
cana-5461	44	14	has	have	AUX
cana-5461	44	15	been	be	AUX
cana-5461	44	16	described	describe	VERB
cana-5461	44	17	,	,	PUNCT
cana-5461	44	18	and	and	CCONJ
cana-5461	44	19	its	its	PRON
cana-5461	44	20	behaviour	behaviour	NOUN
cana-5461	44	21	has	have	AUX
cana-5461	44	22	been	be	AUX
cana-5461	44	23	studied	study	VERB
cana-5461	44	24	by	by	ADP
cana-5461	44	25	deriving	derive	VERB
cana-5461	44	26	conditions	condition	NOUN
cana-5461	44	27	for	for	ADP
cana-5461	44	28	asymptotic	asymptotic	ADJ
cana-5461	44	29	nearness	nearness	NOUN
cana-5461	44	30	and	and	CCONJ
cana-5461	44	31	boundedness	boundedness	NOUN
cana-5461	44	32	of	of	ADP
cana-5461	44	33	solutions	solution	NOUN
cana-5461	44	34	.	.	PUNCT
cana-5461	45	1	followed	follow	VERB
cana-5461	45	2	by	by	ADP
cana-5461	45	3	a	a	DET
cana-5461	45	4	discussion	discussion	NOUN
cana-5461	45	5	in	in	ADP
cana-5461	45	6	section	section	NOUN
cana-5461	45	7	4	4	NUM
cana-5461	45	8	.	.	SYM
cana-5461	45	9	2	2	NUM
cana-5461	45	10	description	description	NOUN
cana-5461	45	11	of	of	ADP
cana-5461	45	12	the	the	DET
cana-5461	45	13	model	model	NOUN
cana-5461	45	14	with	with	ADP
cana-5461	45	15	constant	constant	ADJ
cana-5461	45	16	inputs	input	NOUN
cana-5461	45	17	-	-	PUNCT
cana-5461	45	18	behavior	behavior	NOUN
cana-5461	45	19	of	of	ADP
cana-5461	45	20	the	the	DET
cana-5461	45	21	solutions	solution	NOUN
cana-5461	45	22	a	a	DET
cana-5461	45	23	csnn	csnn	ADJ
cana-5461	45	24	model	model	NOUN
cana-5461	45	25	comprises	comprise	NOUN
cana-5461	45	26	of	of	ADP
cana-5461	45	27	two	two	NUM
cana-5461	45	28	neuronal	neuronal	ADJ
cana-5461	45	29	fields	field	NOUN
cana-5461	45	30	fx	fx	PROPN
cana-5461	45	31	and	and	CCONJ
cana-5461	45	32	fy	fy	PROPN
cana-5461	45	33	.	.	PUNCT
cana-5461	46	1	the	the	DET
cana-5461	46	2	neurons	neuron	NOUN
cana-5461	46	3	in	in	ADP
cana-5461	46	4	fx	fx	PROPN
cana-5461	46	5	are	be	AUX
cana-5461	46	6	denoted	denote	VERB
cana-5461	46	7	by	by	ADP
cana-5461	46	8	xi	xi	NOUN
cana-5461	46	9	’s	’s	NOUN
cana-5461	46	10	and	and	CCONJ
cana-5461	46	11	the	the	DET
cana-5461	46	12	neurons	neuron	NOUN
cana-5461	46	13	in	in	ADP
cana-5461	46	14	fy	fy	PROPN
cana-5461	46	15	are	be	AUX
cana-5461	46	16	denoted	denote	VERB
cana-5461	46	17	by	by	ADP
cana-5461	46	18	yik	yik	PROPN
cana-5461	46	19	’s	’s	ADV
cana-5461	46	20	,	,	PUNCT
cana-5461	46	21	for	for	ADP
cana-5461	46	22	i	i	PROPN
cana-5461	46	23	=	=	SYM
cana-5461	46	24	1	1	NUM
cana-5461	46	25	,	,	PUNCT
cana-5461	46	26	2	2	NUM
cana-5461	46	27	,	,	PUNCT
cana-5461	46	28	3	3	NUM
cana-5461	46	29	....	....	SYM
cana-5461	46	30	n	n	CCONJ
cana-5461	46	31	,	,	PUNCT
cana-5461	46	32	k	k	PROPN
cana-5461	46	33	=	=	SYM
cana-5461	46	34	1	1	NUM
cana-5461	46	35	,	,	PUNCT
cana-5461	46	36	2	2	NUM
cana-5461	46	37	,	,	PUNCT
cana-5461	46	38	3	3	NUM
cana-5461	46	39	.....	.....	SYM
cana-5461	46	40	ri	ri	NOUN
cana-5461	46	41	,	,	PUNCT
cana-5461	46	42	1	1	NUM
cana-5461	46	43	≤	≤	NUM
cana-5461	47	1	ri	ri	NOUN
cana-5461	47	2	≤	≤	PROPN
cana-5461	47	3	n.	n.	NOUN
cana-5461	47	4	each	each	DET
cana-5461	47	5	neuron	neuron	NOUN
cana-5461	47	6	xi	xi	X
cana-5461	47	7	in	in	ADP
cana-5461	47	8	fx	fx	PROPN
cana-5461	47	9	is	be	AUX
cana-5461	47	10	connected	connect	VERB
cana-5461	47	11	to	to	ADP
cana-5461	47	12	the	the	DET
cana-5461	47	13	other	other	ADJ
cana-5461	47	14	neurons	neuron	NOUN
cana-5461	47	15	xj	xj	PROPN
cana-5461	47	16	for	for	ADP
cana-5461	47	17	i	i	PRON
cana-5461	47	18	̸=	̸=	PROPN
cana-5461	47	19	j	j	PROPN
cana-5461	47	20	in	in	ADP
cana-5461	47	21	the	the	DET
cana-5461	47	22	same	same	ADJ
cana-5461	47	23	neuronal	neuronal	ADJ
cana-5461	47	24	field	field	NOUN
cana-5461	47	25	and	and	CCONJ
cana-5461	47	26	they	they	PRON
cana-5461	47	27	are	be	AUX
cana-5461	47	28	also	also	ADV
cana-5461	47	29	connected	connect	VERB
cana-5461	47	30	to	to	ADP
cana-5461	47	31	ri	ri	VERB
cana-5461	47	32	number	number	NOUN
cana-5461	47	33	of	of	ADP
cana-5461	47	34	neurons	neuron	NOUN
cana-5461	47	35	(	(	PUNCT
cana-5461	47	36	yi1	yi1	INTJ
cana-5461	47	37	,	,	PUNCT
cana-5461	47	38	yi2	yi2	PROPN
cana-5461	47	39	....	....	PUNCT
cana-5461	47	40	yiri	yiri	NOUN
cana-5461	47	41	)	)	PUNCT
cana-5461	47	42	in	in	ADP
cana-5461	47	43	the	the	DET
cana-5461	47	44	neuronal	neuronal	ADJ
cana-5461	47	45	field	field	NOUN
cana-5461	47	46	fy	fy	PROPN
cana-5461	47	47	.	.	PUNCT
cana-5461	48	1	the	the	DET
cana-5461	48	2	pictorial	pictorial	ADJ
cana-5461	48	3	representation	representation	NOUN
cana-5461	48	4	of	of	ADP
cana-5461	48	5	this	this	DET
cana-5461	48	6	network	network	NOUN
cana-5461	48	7	can	can	AUX
cana-5461	48	8	be	be	AUX
cana-5461	48	9	seen	see	VERB
cana-5461	48	10	in	in	ADP
cana-5461	48	11	the	the	DET
cana-5461	48	12	figure	figure	NOUN
cana-5461	48	13	1	1	NUM
cana-5461	48	14	.	.	PUNCT
cana-5461	48	15	figure	figure	VERB
cana-5461	48	16	1	1	NUM
cana-5461	48	17	the	the	DET
cana-5461	48	18	dynamics	dynamic	NOUN
cana-5461	48	19	of	of	ADP
cana-5461	48	20	the	the	DET
cana-5461	48	21	model	model	NOUN
cana-5461	48	22	will	will	AUX
cana-5461	48	23	be	be	AUX
cana-5461	48	24	given	give	VERB
cana-5461	48	25	by	by	ADP
cana-5461	48	26	the	the	DET
cana-5461	48	27	following	follow	VERB
cana-5461	48	28	system	system	NOUN
cana-5461	48	29	of	of	ADP
cana-5461	48	30	equations	equation	NOUN
cana-5461	48	31	x	x	NOUN
cana-5461	49	1	′	′	NUM
cana-5461	49	2	i	i	NOUN
cana-5461	49	3	=	=	PUNCT
cana-5461	49	4	−aixi	−aixi	NOUN
cana-5461	50	1	+	+	CCONJ
cana-5461	50	2	n∑	n∑	ADJ
cana-5461	50	3	j=1	j=1	NOUN
cana-5461	50	4	bijfj(xj(t	bijfj(xj(t	PROPN
cana-5461	50	5	)	)	PUNCT
cana-5461	50	6	)	)	PUNCT
cana-5461	51	1	+	+	CCONJ
cana-5461	51	2	ri∑	ri∑	X
cana-5461	51	3	k=1	k=1	PROPN
cana-5461	51	4	ciikgik(xi	ciikgik(xi	PROPN
cana-5461	51	5	,	,	PUNCT
cana-5461	51	6	yik(t	yik(t	PROPN
cana-5461	51	7	)	)	PUNCT
cana-5461	51	8	)	)	PUNCT
cana-5461	52	1	+	+	CCONJ
cana-5461	52	2	ii	ii	NOUN
cana-5461	52	3	,	,	PUNCT
cana-5461	52	4	y	y	PROPN
cana-5461	52	5	′	′	NUM
cana-5461	52	6	ik	ik	PROPN
cana-5461	52	7	=	=	SYM
cana-5461	52	8	−cikyik	−cikyik	PROPN
cana-5461	52	9	+	+	CCONJ
cana-5461	52	10	ri∑	ri∑	PROPN
cana-5461	52	11	l=1	l=1	NOUN
cana-5461	52	12	dilhil(yil(t	dilhil(yil(t	NOUN
cana-5461	52	13	)	)	PUNCT
cana-5461	52	14	)	)	PUNCT
cana-5461	53	1	+	+	CCONJ
cana-5461	53	2	jik	jik	PROPN
cana-5461	53	3	,	,	PUNCT
cana-5461	53	4	i	i	PRON
cana-5461	53	5	=	=	NOUN
cana-5461	53	6	1	1	NUM
cana-5461	53	7	,	,	PUNCT
cana-5461	53	8	2	2	NUM
cana-5461	53	9	,	,	PUNCT
cana-5461	53	10	3	3	NUM
cana-5461	53	11	....	....	SYM
cana-5461	53	12	n	n	CCONJ
cana-5461	53	13	,	,	PUNCT
cana-5461	53	14	k	k	PROPN
cana-5461	53	15	=	=	SYM
cana-5461	53	16	1	1	NUM
cana-5461	53	17	,	,	PUNCT
cana-5461	53	18	2	2	NUM
cana-5461	53	19	,	,	PUNCT
cana-5461	53	20	3	3	NUM
cana-5461	53	21	.....	.....	SYM
cana-5461	53	22	ri	ri	NOUN
cana-5461	53	23	,	,	PUNCT
cana-5461	53	24	1	1	NUM
cana-5461	53	25	≤	≤	NUM
cana-5461	53	26	ri	ri	NOUN
cana-5461	53	27	≤	≤	ADJ
cana-5461	53	28	.n	.n	NOUN
cana-5461	53	29	(	(	PUNCT
cana-5461	53	30	1	1	X
cana-5461	53	31	)	)	PUNCT
cana-5461	53	32	here	here	ADV
cana-5461	53	33	xi	xi	PROPN
cana-5461	53	34	’s	’	VERB
cana-5461	53	35	be	be	AUX
cana-5461	53	36	a	a	DET
cana-5461	53	37	state	state	NOUN
cana-5461	53	38	of	of	ADP
cana-5461	53	39	particular	particular	ADJ
cana-5461	53	40	emotion	emotion	NOUN
cana-5461	53	41	like	like	ADP
cana-5461	53	42	happiness	happiness	NOUN
cana-5461	53	43	,	,	PUNCT
cana-5461	53	44	anger	anger	NOUN
cana-5461	53	45	,	,	PUNCT
cana-5461	53	46	sadness	sadness	NOUN
cana-5461	53	47	,	,	PUNCT
cana-5461	53	48	fear	fear	NOUN
cana-5461	53	49	,	,	PUNCT
cana-5461	53	50	etc	etc	X
cana-5461	53	51	.	.	X
cana-5461	53	52	,	,	PUNCT
cana-5461	53	53	and	and	CCONJ
cana-5461	53	54	yik	yik	PROPN
cana-5461	53	55	’s	’s	AUX
cana-5461	53	56	be	be	AUX
cana-5461	53	57	the	the	DET
cana-5461	53	58	neurons	neuron	NOUN
cana-5461	53	59	corresponding	correspond	VERB
cana-5461	53	60	to	to	ADP
cana-5461	53	61	different	different	ADJ
cana-5461	53	62	memories	memory	NOUN
cana-5461	53	63	stored	store	VERB
cana-5461	53	64	from	from	ADP
cana-5461	53	65	the	the	DET
cana-5461	53	66	previous	previous	ADJ
cana-5461	53	67	experiences	experience	NOUN
cana-5461	53	68	for	for	ADP
cana-5461	53	69	a	a	DET
cana-5461	53	70	particular	particular	ADJ
cana-5461	53	71	emotion	emotion	NOUN
cana-5461	53	72	xi	xi	INTJ
cana-5461	53	73	.	.	PUNCT
cana-5461	54	1	ai	ai	VERB
cana-5461	54	2	be	be	AUX
cana-5461	54	3	the	the	DET
cana-5461	54	4	resting	rest	VERB
cana-5461	54	5	potential	potential	NOUN
cana-5461	54	6	of	of	ADP
cana-5461	54	7	an	an	DET
cana-5461	54	8	emotion	emotion	NOUN
cana-5461	54	9	xi(i.e	xi(i.e	NOUN
cana-5461	54	10	.	.	PUNCT
cana-5461	55	1	,	,	PUNCT
cana-5461	55	2	3	3	NUM
cana-5461	55	3	vol	vol	NOUN
cana-5461	55	4	32	32	NUM
cana-5461	55	5	no	no	NOUN
cana-5461	55	6	.	.	PUNCT
cana-5461	56	1	10s(2025	10s(2025	NUM
cana-5461	56	2	)	)	PUNCT
cana-5461	56	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	56	4	communications	communication	NOUN
cana-5461	56	5	on	on	ADP
cana-5461	56	6	applied	apply	VERB
cana-5461	56	7	nonlinear	nonlinear	ADJ
cana-5461	56	8	analysis	analysis	NOUN
cana-5461	56	9	issn:1074	issn:1074	NOUN
cana-5461	56	10	-	-	NOUN
cana-5461	56	11	133x	133x	NUM
cana-5461	56	12	2348	2348	NUM
cana-5461	56	13	the	the	DET
cana-5461	56	14	rate	rate	NOUN
cana-5461	56	15	at	at	ADP
cana-5461	56	16	which	which	PRON
cana-5461	56	17	the	the	DET
cana-5461	56	18	neuron	neuron	NOUN
cana-5461	56	19	of	of	ADP
cana-5461	56	20	a	a	DET
cana-5461	56	21	particular	particular	ADJ
cana-5461	56	22	emotion	emotion	NOUN
cana-5461	56	23	is	be	AUX
cana-5461	56	24	not	not	PART
cana-5461	56	25	active	active	ADJ
cana-5461	56	26	)	)	PUNCT
cana-5461	56	27	.	.	PUNCT
cana-5461	57	1	cik	cik	PROPN
cana-5461	57	2	be	be	AUX
cana-5461	57	3	the	the	DET
cana-5461	57	4	resting	rest	VERB
cana-5461	57	5	potential	potential	NOUN
cana-5461	57	6	of	of	ADP
cana-5461	57	7	yik	yik	PROPN
cana-5461	57	8	(	(	PUNCT
cana-5461	57	9	i.e.	i.e.	X
cana-5461	57	10	,	,	PUNCT
cana-5461	57	11	the	the	DET
cana-5461	57	12	rate	rate	NOUN
cana-5461	57	13	at	at	ADP
cana-5461	57	14	which	which	PRON
cana-5461	57	15	the	the	DET
cana-5461	57	16	neuron	neuron	NOUN
cana-5461	57	17	corresponding	correspond	VERB
cana-5461	57	18	to	to	ADP
cana-5461	57	19	a	a	DET
cana-5461	57	20	particular	particular	ADJ
cana-5461	57	21	memory	memory	NOUN
cana-5461	57	22	is	be	AUX
cana-5461	57	23	not	not	PART
cana-5461	57	24	active	active	ADJ
cana-5461	57	25	)	)	PUNCT
cana-5461	57	26	.	.	PUNCT
cana-5461	58	1	bij	bij	NOUN
cana-5461	58	2	be	be	AUX
cana-5461	58	3	the	the	DET
cana-5461	58	4	synaptic	synaptic	ADJ
cana-5461	58	5	connection	connection	NOUN
cana-5461	58	6	strength	strength	NOUN
cana-5461	58	7	among	among	ADP
cana-5461	58	8	emotions	emotion	NOUN
cana-5461	58	9	xi	xi	X
cana-5461	58	10	and	and	CCONJ
cana-5461	58	11	xj	xj	PROPN
cana-5461	58	12	.	.	PUNCT
cana-5461	59	1	dil	dil	PROPN
cana-5461	59	2	be	be	AUX
cana-5461	59	3	the	the	DET
cana-5461	59	4	synaptic	synaptic	ADJ
cana-5461	59	5	connection	connection	NOUN
cana-5461	59	6	strength	strength	NOUN
cana-5461	59	7	among	among	ADP
cana-5461	59	8	the	the	DET
cana-5461	59	9	memories	memory	NOUN
cana-5461	59	10	of	of	ADP
cana-5461	59	11	a	a	DET
cana-5461	59	12	particular	particular	ADJ
cana-5461	59	13	emotion	emotion	NOUN
cana-5461	60	1	xi	xi	PROPN
cana-5461	60	2	.	.	PUNCT
cana-5461	60	3	ciik	ciik	PROPN
cana-5461	60	4	be	be	VERB
cana-5461	60	5	the	the	DET
cana-5461	60	6	rate	rate	NOUN
cana-5461	60	7	at	at	ADP
cana-5461	60	8	which	which	PRON
cana-5461	60	9	particular	particular	ADJ
cana-5461	60	10	memory	memory	NOUN
cana-5461	60	11	is	be	AUX
cana-5461	60	12	influencing	influence	VERB
cana-5461	60	13	the	the	DET
cana-5461	60	14	emotion	emotion	NOUN
cana-5461	60	15	.	.	PUNCT
cana-5461	61	1	the	the	DET
cana-5461	61	2	functions	function	NOUN
cana-5461	61	3	fj	fj	PART
cana-5461	61	4	be	be	AUX
cana-5461	61	5	the	the	DET
cana-5461	61	6	functional	functional	ADJ
cana-5461	61	7	relation	relation	NOUN
cana-5461	61	8	among	among	ADP
cana-5461	61	9	the	the	DET
cana-5461	61	10	emotions	emotion	NOUN
cana-5461	61	11	xj	xj	PROPN
cana-5461	61	12	’s	’s	X
cana-5461	61	13	(	(	PUNCT
cana-5461	61	14	for	for	ADP
cana-5461	61	15	example	example	NOUN
cana-5461	61	16	,	,	PUNCT
cana-5461	61	17	emotions	emotion	NOUN
cana-5461	61	18	like	like	ADP
cana-5461	61	19	joy	joy	NOUN
cana-5461	61	20	and	and	CCONJ
cana-5461	61	21	happiness	happiness	NOUN
cana-5461	61	22	will	will	AUX
cana-5461	61	23	inhibit	inhibit	VERB
cana-5461	61	24	the	the	DET
cana-5461	61	25	occurrence	occurrence	NOUN
cana-5461	61	26	of	of	ADP
cana-5461	61	27	anger	anger	NOUN
cana-5461	61	28	or	or	CCONJ
cana-5461	61	29	sadness	sadness	NOUN
cana-5461	61	30	,	,	PUNCT
cana-5461	61	31	whereas	whereas	SCONJ
cana-5461	61	32	emotion	emotion	NOUN
cana-5461	61	33	like	like	ADP
cana-5461	61	34	enjoyment	enjoyment	NOUN
cana-5461	61	35	will	will	AUX
cana-5461	61	36	enhance	enhance	VERB
cana-5461	61	37	the	the	DET
cana-5461	61	38	occurrence	occurrence	NOUN
cana-5461	61	39	of	of	ADP
cana-5461	61	40	happiness	happiness	NOUN
cana-5461	61	41	and	and	CCONJ
cana-5461	61	42	satisfaction	satisfaction	NOUN
cana-5461	61	43	[	[	X
cana-5461	61	44	22	22	NUM
cana-5461	61	45	]	]	PUNCT
cana-5461	61	46	)	)	PUNCT
cana-5461	61	47	,	,	PUNCT
cana-5461	61	48	gik	gik	X
cana-5461	61	49	be	be	AUX
cana-5461	61	50	the	the	DET
cana-5461	61	51	functional	functional	ADJ
cana-5461	61	52	relation	relation	NOUN
cana-5461	61	53	which	which	PRON
cana-5461	61	54	shows	show	VERB
cana-5461	61	55	how	how	SCONJ
cana-5461	61	56	yik	yik	PROPN
cana-5461	61	57	’s	’	VERB
cana-5461	61	58	are	be	AUX
cana-5461	61	59	influencing	influence	VERB
cana-5461	61	60	xi	xi	ADP
cana-5461	61	61	’s	’s	PROPN
cana-5461	61	62	,	,	PUNCT
cana-5461	61	63	hil	hil	ADV
cana-5461	61	64	be	be	AUX
cana-5461	61	65	the	the	DET
cana-5461	61	66	response	response	NOUN
cana-5461	61	67	function	function	NOUN
cana-5461	61	68	of	of	ADP
cana-5461	61	69	yil	yil	PROPN
cana-5461	61	70	towards	towards	ADP
cana-5461	61	71	yik	yik	PROPN
cana-5461	61	72	(	(	PUNCT
cana-5461	61	73	i.e.	i.e.	X
cana-5461	61	74	,	,	PUNCT
cana-5461	61	75	how	how	SCONJ
cana-5461	61	76	the	the	DET
cana-5461	61	77	memories	memory	NOUN
cana-5461	61	78	of	of	ADP
cana-5461	61	79	particular	particular	ADJ
cana-5461	61	80	emotions	emotion	NOUN
cana-5461	61	81	are	be	AUX
cana-5461	61	82	interrelated	interrelated	ADJ
cana-5461	61	83	)	)	PUNCT
cana-5461	61	84	.	.	PUNCT
cana-5461	62	1	ii	ii	PROPN
cana-5461	62	2	,	,	PUNCT
cana-5461	62	3	jik	jik	PROPN
cana-5461	62	4	be	be	VERB
cana-5461	62	5	the	the	DET
cana-5461	62	6	external	external	ADJ
cana-5461	62	7	inputs	input	NOUN
cana-5461	62	8	which	which	PRON
cana-5461	62	9	may	may	AUX
cana-5461	62	10	be	be	AUX
cana-5461	62	11	information	information	NOUN
cana-5461	62	12	from	from	ADP
cana-5461	62	13	the	the	DET
cana-5461	62	14	outside	outside	ADJ
cana-5461	62	15	world	world	NOUN
cana-5461	62	16	or	or	CCONJ
cana-5461	62	17	information	information	NOUN
cana-5461	62	18	from	from	ADP
cana-5461	62	19	inside	inside	ADP
cana-5461	62	20	the	the	DET
cana-5461	62	21	body	body	NOUN
cana-5461	62	22	(	(	PUNCT
cana-5461	62	23	or	or	CCONJ
cana-5461	62	24	sensory	sensory	ADJ
cana-5461	62	25	inputs	input	NOUN
cana-5461	62	26	)	)	PUNCT
cana-5461	62	27	.	.	PUNCT
cana-5461	63	1	they	they	PRON
cana-5461	63	2	could	could	AUX
cana-5461	63	3	as	as	ADV
cana-5461	63	4	well	well	ADV
cana-5461	63	5	be	be	AUX
cana-5461	63	6	parts	part	NOUN
cana-5461	63	7	of	of	ADP
cana-5461	63	8	the	the	DET
cana-5461	63	9	input	input	NOUN
cana-5461	63	10	that	that	PRON
cana-5461	63	11	provoked	provoke	VERB
cana-5461	63	12	and	and	CCONJ
cana-5461	63	13	invoked	invoke	VERB
cana-5461	63	14	particular	particular	ADJ
cana-5461	63	15	emotion	emotion	NOUN
cana-5461	63	16	and	and	CCONJ
cana-5461	63	17	its	its	PRON
cana-5461	63	18	past	past	ADJ
cana-5461	63	19	memory	memory	NOUN
cana-5461	63	20	.	.	PUNCT
cana-5461	64	1	it	it	PRON
cana-5461	64	2	is	be	AUX
cana-5461	64	3	noted	note	VERB
cana-5461	64	4	that	that	SCONJ
cana-5461	64	5	a	a	DET
cana-5461	64	6	person	person	NOUN
cana-5461	64	7	may	may	AUX
cana-5461	64	8	not	not	PART
cana-5461	64	9	react	react	VERB
cana-5461	64	10	to	to	ADP
cana-5461	64	11	an	an	DET
cana-5461	64	12	emotion	emotion	NOUN
cana-5461	64	13	immediately	immediately	ADV
cana-5461	64	14	,	,	PUNCT
cana-5461	64	15	it	it	PRON
cana-5461	64	16	may	may	AUX
cana-5461	64	17	be	be	AUX
cana-5461	64	18	because	because	SCONJ
cana-5461	64	19	of	of	ADP
cana-5461	64	20	the	the	DET
cana-5461	64	21	concurrency	concurrency	NOUN
cana-5461	64	22	of	of	ADP
cana-5461	64	23	many	many	ADJ
cana-5461	64	24	emotions	emotion	NOUN
cana-5461	64	25	at	at	ADP
cana-5461	64	26	the	the	DET
cana-5461	64	27	same	same	ADJ
cana-5461	64	28	time	time	NOUN
cana-5461	64	29	,	,	PUNCT
cana-5461	64	30	so	so	CCONJ
cana-5461	64	31	a	a	DET
cana-5461	64	32	processing	processing	NOUN
cana-5461	64	33	delay	delay	NOUN
cana-5461	64	34	may	may	AUX
cana-5461	64	35	arise	arise	VERB
cana-5461	64	36	among	among	ADP
cana-5461	64	37	xi	xi	PROPN
cana-5461	64	38	’s	’s	NOUN
cana-5461	64	39	.	.	PUNCT
cana-5461	65	1	also	also	ADV
cana-5461	65	2	,	,	PUNCT
cana-5461	65	3	it	it	PRON
cana-5461	65	4	’s	’	VERB
cana-5461	65	5	quite	quite	ADV
cana-5461	65	6	natural	natural	ADJ
cana-5461	65	7	that	that	SCONJ
cana-5461	65	8	the	the	DET
cana-5461	65	9	brain	brain	NOUN
cana-5461	65	10	may	may	AUX
cana-5461	65	11	take	take	VERB
cana-5461	65	12	some	some	DET
cana-5461	65	13	time	time	NOUN
cana-5461	65	14	to	to	PART
cana-5461	65	15	recollect	recollect	VERB
cana-5461	65	16	previously	previously	ADV
cana-5461	65	17	stored	store	VERB
cana-5461	65	18	memory	memory	NOUN
cana-5461	65	19	,	,	PUNCT
cana-5461	65	20	which	which	PRON
cana-5461	65	21	results	result	VERB
cana-5461	65	22	in	in	ADP
cana-5461	65	23	the	the	DET
cana-5461	65	24	processing	processing	NOUN
cana-5461	65	25	delay	delay	NOUN
cana-5461	65	26	among	among	ADP
cana-5461	65	27	yik	yik	PROPN
cana-5461	65	28	’	'	PUNCT
cana-5461	65	29	s.	s.	PROPN
cana-5461	65	30	in	in	ADP
cana-5461	65	31	certain	certain	ADJ
cana-5461	65	32	situations	situation	NOUN
cana-5461	65	33	,	,	PUNCT
cana-5461	65	34	it	it	PRON
cana-5461	65	35	may	may	AUX
cana-5461	65	36	take	take	VERB
cana-5461	65	37	some	some	DET
cana-5461	65	38	time	time	NOUN
cana-5461	65	39	for	for	SCONJ
cana-5461	65	40	the	the	DET
cana-5461	65	41	concepts	concept	NOUN
cana-5461	65	42	of	of	ADP
cana-5461	65	43	previous	previous	ADJ
cana-5461	65	44	memories	memory	NOUN
cana-5461	65	45	to	to	PART
cana-5461	65	46	show	show	VERB
cana-5461	65	47	their	their	PRON
cana-5461	65	48	influence	influence	NOUN
cana-5461	65	49	on	on	ADP
cana-5461	65	50	emotions	emotion	NOUN
cana-5461	65	51	,	,	PUNCT
cana-5461	65	52	as	as	SCONJ
cana-5461	65	53	the	the	DET
cana-5461	65	54	brain	brain	NOUN
cana-5461	65	55	may	may	AUX
cana-5461	65	56	be	be	AUX
cana-5461	65	57	engaged	engage	VERB
cana-5461	65	58	with	with	ADP
cana-5461	65	59	another	another	DET
cana-5461	65	60	activity	activity	NOUN
cana-5461	65	61	,	,	PUNCT
cana-5461	65	62	which	which	PRON
cana-5461	65	63	leads	lead	VERB
cana-5461	65	64	to	to	ADP
cana-5461	65	65	transmission	transmission	NOUN
cana-5461	65	66	delays	delay	NOUN
cana-5461	65	67	.	.	PUNCT
cana-5461	66	1	to	to	PART
cana-5461	66	2	make	make	VERB
cana-5461	66	3	the	the	DET
cana-5461	66	4	model	model	NOUN
cana-5461	66	5	more	more	ADV
cana-5461	66	6	realistic	realistic	ADJ
cana-5461	66	7	,	,	PUNCT
cana-5461	66	8	we	we	PRON
cana-5461	66	9	will	will	AUX
cana-5461	66	10	incorporate	incorporate	VERB
cana-5461	66	11	these	these	DET
cana-5461	66	12	delays	delay	NOUN
cana-5461	66	13	in	in	ADP
cana-5461	66	14	(	(	PUNCT
cana-5461	66	15	1	1	NUM
cana-5461	66	16	)	)	PUNCT
cana-5461	66	17	.	.	PUNCT
cana-5461	67	1	hence	hence	ADV
cana-5461	67	2	,	,	PUNCT
cana-5461	67	3	we	we	PRON
cana-5461	67	4	get	get	VERB
cana-5461	67	5	x	x	PUNCT
cana-5461	67	6	′	′	NUM
cana-5461	67	7	i	i	NOUN
cana-5461	67	8	=	=	PUNCT
cana-5461	67	9	−aixi	−aixi	NOUN
cana-5461	68	1	+	+	CCONJ
cana-5461	68	2	n∑	n∑	PROPN
cana-5461	68	3	j=1	j=1	NOUN
cana-5461	68	4	bijfj(xj(t−	bijfj(xj(t−	PROPN
cana-5461	68	5	τj	τj	ADP
cana-5461	68	6	)	)	PUNCT
cana-5461	68	7	)	)	PUNCT
cana-5461	69	1	+	+	CCONJ
cana-5461	69	2	ri∑	ri∑	X
cana-5461	69	3	k=1	k=1	PROPN
cana-5461	69	4	ciikgik(xi	ciikgik(xi	PROPN
cana-5461	69	5	,	,	PUNCT
cana-5461	69	6	yik(t−	yik(t−	NOUN
cana-5461	69	7	ϑik	ϑik	ADJ
cana-5461	69	8	)	)	PUNCT
cana-5461	69	9	)	)	PUNCT
cana-5461	70	1	+	+	CCONJ
cana-5461	70	2	ii	ii	NOUN
cana-5461	70	3	,	,	PUNCT
cana-5461	70	4	y	y	PROPN
cana-5461	70	5	′	′	NUM
cana-5461	70	6	ik	ik	PROPN
cana-5461	70	7	=	=	SYM
cana-5461	70	8	−cikyik	−cikyik	PROPN
cana-5461	70	9	+	+	CCONJ
cana-5461	70	10	ri∑	ri∑	PROPN
cana-5461	70	11	l=1	l=1	PROPN
cana-5461	70	12	dilhil(yil(t−	dilhil(yil(t−	PROPN
cana-5461	70	13	ζil	ζil	PROPN
cana-5461	70	14	)	)	PUNCT
cana-5461	70	15	)	)	PUNCT
cana-5461	71	1	+	+	CCONJ
cana-5461	71	2	jik	jik	PROPN
cana-5461	71	3	,	,	PUNCT
cana-5461	71	4	i	i	PRON
cana-5461	71	5	=	=	NOUN
cana-5461	71	6	1	1	NUM
cana-5461	71	7	,	,	PUNCT
cana-5461	71	8	2	2	NUM
cana-5461	71	9	,	,	PUNCT
cana-5461	71	10	3	3	NUM
cana-5461	71	11	....	....	SYM
cana-5461	71	12	n	n	CCONJ
cana-5461	71	13	,	,	PUNCT
cana-5461	71	14	k	k	PROPN
cana-5461	71	15	=	=	SYM
cana-5461	71	16	1	1	NUM
cana-5461	71	17	,	,	PUNCT
cana-5461	71	18	2	2	NUM
cana-5461	71	19	,	,	PUNCT
cana-5461	71	20	3	3	NUM
cana-5461	71	21	.....	.....	SYM
cana-5461	71	22	ri	ri	NOUN
cana-5461	71	23	,	,	PUNCT
cana-5461	71	24	1	1	NUM
cana-5461	71	25	≤	≤	NUM
cana-5461	71	26	ri	ri	X
cana-5461	71	27	≤	≤	PROPN
cana-5461	71	28	n.	n.	NOUN
cana-5461	71	29	(	(	PUNCT
cana-5461	71	30	2	2	NUM
cana-5461	71	31	)	)	PUNCT
cana-5461	71	32	where	where	SCONJ
cana-5461	71	33	in	in	ADP
cana-5461	71	34	τi	τi	NOUN
cana-5461	71	35	’s	’s	PART
cana-5461	71	36	and	and	CCONJ
cana-5461	71	37	ζik	ζik	PROPN
cana-5461	71	38	’s	’	VERB
cana-5461	71	39	are	be	AUX
cana-5461	71	40	the	the	DET
cana-5461	71	41	processing	processing	NOUN
cana-5461	71	42	delays	delay	NOUN
cana-5461	71	43	among	among	ADP
cana-5461	71	44	xi	xi	PROPN
cana-5461	71	45	’s	’s	PART
cana-5461	71	46	and	and	CCONJ
cana-5461	71	47	yik	yik	PROPN
cana-5461	71	48	’s	’s	PART
cana-5461	71	49	respectively	respectively	ADV
cana-5461	71	50	.	.	PUNCT
cana-5461	72	1	ϑik	ϑik	PROPN
cana-5461	72	2	is	be	AUX
cana-5461	72	3	the	the	DET
cana-5461	72	4	transmission	transmission	NOUN
cana-5461	72	5	delay	delay	NOUN
cana-5461	72	6	from	from	ADP
cana-5461	72	7	yik	yik	PROPN
cana-5461	72	8	’s	’s	ADV
cana-5461	72	9	to	to	ADP
cana-5461	72	10	xi	xi	PROPN
cana-5461	72	11	’s	’s	NOUN
cana-5461	72	12	.	.	PUNCT
cana-5461	73	1	the	the	DET
cana-5461	73	2	occurrence	occurrence	NOUN
cana-5461	73	3	of	of	ADP
cana-5461	73	4	delay	delay	NOUN
cana-5461	73	5	will	will	AUX
cana-5461	73	6	depend	depend	VERB
cana-5461	73	7	on	on	ADP
cana-5461	73	8	the	the	DET
cana-5461	73	9	requirement	requirement	NOUN
cana-5461	73	10	of	of	ADP
cana-5461	73	11	the	the	DET
cana-5461	73	12	problem	problem	NOUN
cana-5461	73	13	under	under	ADP
cana-5461	73	14	study	study	NOUN
cana-5461	73	15	,	,	PUNCT
cana-5461	73	16	so	so	CCONJ
cana-5461	73	17	the	the	DET
cana-5461	73	18	presence	presence	NOUN
cana-5461	73	19	of	of	ADP
cana-5461	73	20	all	all	DET
cana-5461	73	21	the	the	DET
cana-5461	73	22	three	three	NUM
cana-5461	73	23	delays	delay	NOUN
cana-5461	73	24	may	may	AUX
cana-5461	73	25	not	not	PART
cana-5461	73	26	require	require	VERB
cana-5461	73	27	always	always	ADV
cana-5461	73	28	.	.	PUNCT
cana-5461	74	1	hence	hence	ADV
cana-5461	74	2	,	,	PUNCT
cana-5461	74	3	we	we	PRON
cana-5461	74	4	can	can	AUX
cana-5461	74	5	deduce	deduce	VERB
cana-5461	74	6	different	different	ADJ
cana-5461	74	7	models	model	NOUN
cana-5461	74	8	by	by	ADP
cana-5461	74	9	considering	consider	VERB
cana-5461	74	10	one	one	NUM
cana-5461	74	11	or	or	CCONJ
cana-5461	74	12	two	two	NUM
cana-5461	74	13	delays	delay	NOUN
cana-5461	74	14	to	to	PART
cana-5461	74	15	exist	exist	VERB
cana-5461	74	16	.	.	PUNCT
cana-5461	75	1	some	some	PRON
cana-5461	75	2	of	of	ADP
cana-5461	75	3	these	these	DET
cana-5461	75	4	deduced	deduce	VERB
cana-5461	75	5	models	model	NOUN
cana-5461	75	6	are	be	AUX
cana-5461	75	7	the	the	DET
cana-5461	75	8	open	open	ADJ
cana-5461	75	9	problems	problem	NOUN
cana-5461	75	10	ii	ii	PROPN
cana-5461	75	11	,	,	PUNCT
cana-5461	75	12	iii	iii	PROPN
cana-5461	75	13	,	,	PUNCT
cana-5461	75	14	and	and	CCONJ
cana-5461	75	15	iv	iv	X
cana-5461	75	16	,	,	PUNCT
cana-5461	75	17	which	which	PRON
cana-5461	75	18	are	be	AUX
cana-5461	75	19	proposed	propose	VERB
cana-5461	75	20	in	in	ADP
cana-5461	75	21	[	[	X
cana-5461	75	22	19	19	NUM
cana-5461	75	23	]	]	PUNCT
cana-5461	75	24	and	and	CCONJ
cana-5461	75	25	one	one	NUM
cana-5461	75	26	of	of	ADP
cana-5461	75	27	them	they	PRON
cana-5461	75	28	is	be	AUX
cana-5461	75	29	the	the	DET
cana-5461	75	30	model	model	NOUN
cana-5461	75	31	that	that	PRON
cana-5461	75	32	has	have	AUX
cana-5461	75	33	been	be	AUX
cana-5461	75	34	studied	study	VERB
cana-5461	75	35	in	in	ADP
cana-5461	75	36	[	[	X
cana-5461	75	37	12	12	NUM
cana-5461	75	38	]	]	PUNCT
cana-5461	75	39	.	.	PUNCT
cana-5461	76	1	the	the	DET
cana-5461	76	2	results	result	NOUN
cana-5461	76	3	that	that	PRON
cana-5461	76	4	are	be	AUX
cana-5461	76	5	going	go	VERB
cana-5461	76	6	to	to	PART
cana-5461	76	7	be	be	AUX
cana-5461	76	8	derived	derive	VERB
cana-5461	76	9	for	for	ADP
cana-5461	76	10	(	(	PUNCT
cana-5461	76	11	2	2	NUM
cana-5461	76	12	)	)	PUNCT
cana-5461	76	13	will	will	AUX
cana-5461	76	14	apply	apply	VERB
cana-5461	76	15	to	to	ADP
cana-5461	76	16	all	all	DET
cana-5461	76	17	the	the	DET
cana-5461	76	18	deduced	deduce	VERB
cana-5461	76	19	models	model	NOUN
cana-5461	76	20	and	and	CCONJ
cana-5461	76	21	also	also	ADV
cana-5461	76	22	to	to	ADP
cana-5461	76	23	the	the	DET
cana-5461	76	24	basic	basic	ADJ
cana-5461	76	25	csnn	csnn	ADJ
cana-5461	76	26	model	model	NOUN
cana-5461	76	27	(	(	PUNCT
cana-5461	76	28	1	1	NUM
cana-5461	76	29	)	)	PUNCT
cana-5461	76	30	.	.	PUNCT
cana-5461	77	1	we	we	PRON
cana-5461	77	2	assume	assume	VERB
cana-5461	77	3	the	the	DET
cana-5461	77	4	following	follow	VERB
cana-5461	77	5	lipschitz	lipschitz	NOUN
cana-5461	77	6	conditions	condition	NOUN
cana-5461	77	7	on	on	ADP
cana-5461	77	8	the	the	DET
cana-5461	77	9	response	response	NOUN
cana-5461	77	10	functions	function	NOUN
cana-5461	77	11	,	,	PUNCT
cana-5461	77	12	as	as	SCONJ
cana-5461	77	13	they	they	PRON
cana-5461	77	14	are	be	AUX
cana-5461	77	15	needed	need	VERB
cana-5461	77	16	for	for	SCONJ
cana-5461	77	17	the	the	DET
cana-5461	77	18	solutions	solution	NOUN
cana-5461	77	19	to	to	PART
cana-5461	77	20	exist	exist	VERB
cana-5461	77	21	.	.	PUNCT
cana-5461	78	1	∥gik(xi	∥gik(xi	ADJ
cana-5461	78	2	,	,	PUNCT
cana-5461	78	3	yik)−	yik)−	PROPN
cana-5461	78	4	gik(xi	gik(xi	PROPN
cana-5461	78	5	,	,	PUNCT
cana-5461	78	6	yik)∥	yik)∥	PROPN
cana-5461	78	7	≤	≤	NOUN
cana-5461	78	8	m1ik	m1ik	NOUN
cana-5461	78	9	|yik	|yik	PROPN
cana-5461	78	10	−	−	PROPN
cana-5461	78	11	yik	yik	PROPN
cana-5461	78	12	|+m2ik	|+m2ik	PROPN
cana-5461	78	13	|xi	|xi	PRON
cana-5461	78	14	−	−	PROPN
cana-5461	78	15	xi|	xi|	NOUN
cana-5461	78	16	,	,	PUNCT
cana-5461	78	17	4	4	NUM
cana-5461	78	18	vol	vol	NOUN
cana-5461	78	19	32	32	NUM
cana-5461	78	20	no	no	NOUN
cana-5461	78	21	.	.	PUNCT
cana-5461	79	1	10s(2025	10s(2025	NUM
cana-5461	79	2	)	)	PUNCT
cana-5461	79	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	79	4	communications	communication	NOUN
cana-5461	79	5	on	on	ADP
cana-5461	79	6	applied	apply	VERB
cana-5461	79	7	nonlinear	nonlinear	ADJ
cana-5461	79	8	analysis	analysis	NOUN
cana-5461	79	9	issn:1074	issn:1074	NOUN
cana-5461	79	10	-	-	NOUN
cana-5461	79	11	133x	133x	NUM
cana-5461	79	12	2349	2349	NUM
cana-5461	79	13	|fj(xj)−	|fj(xj)−	NOUN
cana-5461	79	14	fj(xj)|	fj(xj)|	AUX
cana-5461	79	15	≤	≤	ADJ
cana-5461	79	16	pj	pj	PROPN
cana-5461	79	17	|xj	|xj	NUM
cana-5461	79	18	−	−	PROPN
cana-5461	79	19	xj	xj	PROPN
cana-5461	79	20	|	|	ADV
cana-5461	79	21	,	,	PUNCT
cana-5461	79	22	|hik(yik)−	|hik(yik)−	NUM
cana-5461	79	23	hik(yik)|	hik(yik)|	NOUN
cana-5461	79	24	≤	≤	NUM
cana-5461	79	25	qik	qik	NOUN
cana-5461	79	26	|yik	|yik	PROPN
cana-5461	79	27	−	−	PROPN
cana-5461	79	28	yik	yik	PROPN
cana-5461	79	29	|	|	ADV
cana-5461	79	30	,	,	PUNCT
cana-5461	79	31	(	(	PUNCT
cana-5461	79	32	3	3	X
cana-5461	79	33	)	)	PUNCT
cana-5461	79	34	for	for	ADP
cana-5461	79	35	some	some	DET
cana-5461	79	36	positive	positive	ADJ
cana-5461	79	37	constants	constant	NOUN
cana-5461	79	38	m1ik	m1ik	NOUN
cana-5461	79	39	,	,	PUNCT
cana-5461	79	40	m2ik	m2ik	X
cana-5461	79	41	,	,	PUNCT
cana-5461	79	42	pj	pj	PROPN
cana-5461	79	43	and	and	CCONJ
cana-5461	79	44	qik	qik	PROPN
cana-5461	79	45	.	.	PUNCT
cana-5461	80	1	by	by	ADP
cana-5461	80	2	the	the	DET
cana-5461	80	3	theory	theory	NOUN
cana-5461	80	4	of	of	ADP
cana-5461	80	5	delay	delay	NOUN
cana-5461	80	6	differential	differential	ADJ
cana-5461	80	7	equations	equation	NOUN
cana-5461	80	8	,	,	PUNCT
cana-5461	80	9	we	we	PRON
cana-5461	80	10	know	know	VERB
cana-5461	80	11	that	that	SCONJ
cana-5461	80	12	the	the	DET
cana-5461	80	13	local	local	ADJ
cana-5461	80	14	lipschitz	lipschitz	NOUN
cana-5461	80	15	conditions	condition	NOUN
cana-5461	80	16	on	on	ADP
cana-5461	80	17	response	response	NOUN
cana-5461	80	18	functions	function	NOUN
cana-5461	80	19	guarantee	guarantee	VERB
cana-5461	80	20	the	the	DET
cana-5461	80	21	existence	existence	NOUN
cana-5461	80	22	of	of	ADP
cana-5461	80	23	solutions	solution	NOUN
cana-5461	80	24	.	.	PUNCT
cana-5461	81	1	thus	thus	ADV
cana-5461	81	2	,	,	PUNCT
cana-5461	81	3	the	the	DET
cana-5461	81	4	system	system	NOUN
cana-5461	81	5	(	(	PUNCT
cana-5461	81	6	2	2	X
cana-5461	81	7	)	)	PUNCT
cana-5461	81	8	possesses	possess	VERB
cana-5461	81	9	unique	unique	ADJ
cana-5461	81	10	solutions	solution	NOUN
cana-5461	81	11	that	that	PRON
cana-5461	81	12	are	be	AUX
cana-5461	81	13	continuous	continuous	ADJ
cana-5461	81	14	in	in	ADP
cana-5461	81	15	their	their	PRON
cana-5461	81	16	maximal	maximal	ADJ
cana-5461	81	17	interval	interval	NOUN
cana-5461	81	18	of	of	ADP
cana-5461	81	19	existence	existence	NOUN
cana-5461	81	20	with	with	ADP
cana-5461	81	21	suitable	suitable	ADJ
cana-5461	81	22	initial	initial	ADJ
cana-5461	81	23	conditions	condition	NOUN
cana-5461	81	24	[	[	X
cana-5461	81	25	12	12	NUM
cana-5461	81	26	]	]	PUNCT
cana-5461	81	27	.	.	PUNCT
cana-5461	82	1	now	now	ADV
cana-5461	82	2	we	we	PRON
cana-5461	82	3	know	know	VERB
cana-5461	82	4	the	the	DET
cana-5461	82	5	solutions	solution	NOUN
cana-5461	82	6	of	of	ADP
cana-5461	82	7	the	the	DET
cana-5461	82	8	system	system	NOUN
cana-5461	82	9	(	(	PUNCT
cana-5461	82	10	2	2	X
cana-5461	82	11	)	)	PUNCT
cana-5461	82	12	exist	exist	VERB
cana-5461	82	13	(	(	PUNCT
cana-5461	82	14	i.e.	i.e.	X
cana-5461	82	15	,	,	PUNCT
cana-5461	82	16	concepts	concept	NOUN
cana-5461	82	17	stored	store	VERB
cana-5461	82	18	in	in	ADP
cana-5461	82	19	the	the	DET
cana-5461	82	20	previous	previous	ADJ
cana-5461	82	21	memory	memory	NOUN
cana-5461	82	22	are	be	AUX
cana-5461	82	23	provoking	provoke	VERB
cana-5461	82	24	a	a	DET
cana-5461	82	25	person	person	NOUN
cana-5461	82	26	to	to	PART
cana-5461	82	27	respond	respond	VERB
cana-5461	82	28	with	with	ADP
cana-5461	82	29	an	an	DET
cana-5461	82	30	emotion	emotion	NOUN
cana-5461	82	31	)	)	PUNCT
cana-5461	82	32	.	.	PUNCT
cana-5461	83	1	but	but	CCONJ
cana-5461	83	2	how	how	SCONJ
cana-5461	83	3	do	do	AUX
cana-5461	83	4	they	they	PRON
cana-5461	83	5	behave	behave	VERB
cana-5461	83	6	?	?	PUNCT
cana-5461	84	1	as	as	SCONJ
cana-5461	84	2	we	we	PRON
cana-5461	84	3	are	be	AUX
cana-5461	84	4	considering	consider	VERB
cana-5461	84	5	system	system	NOUN
cana-5461	84	6	(	(	PUNCT
cana-5461	84	7	2	2	NUM
cana-5461	84	8	)	)	PUNCT
cana-5461	84	9	to	to	PART
cana-5461	84	10	study	study	VERB
cana-5461	84	11	the	the	DET
cana-5461	84	12	outcome	outcome	NOUN
cana-5461	84	13	of	of	ADP
cana-5461	84	14	emotions	emotion	NOUN
cana-5461	84	15	based	base	VERB
cana-5461	84	16	on	on	ADP
cana-5461	84	17	the	the	DET
cana-5461	84	18	concepts	concept	NOUN
cana-5461	84	19	stored	store	VERB
cana-5461	84	20	in	in	ADP
cana-5461	84	21	memory	memory	NOUN
cana-5461	84	22	,	,	PUNCT
cana-5461	84	23	solutions	solution	NOUN
cana-5461	84	24	should	should	AUX
cana-5461	84	25	be	be	AUX
cana-5461	84	26	controllable	controllable	ADJ
cana-5461	84	27	,	,	PUNCT
cana-5461	84	28	i.e.	i.e.	X
cana-5461	84	29	,	,	PUNCT
cana-5461	84	30	the	the	DET
cana-5461	84	31	solutions	solution	NOUN
cana-5461	84	32	should	should	AUX
cana-5461	84	33	be	be	AUX
cana-5461	84	34	either	either	CCONJ
cana-5461	84	35	bounded	bound	VERB
cana-5461	84	36	or	or	CCONJ
cana-5461	84	37	converge	converge	VERB
cana-5461	84	38	to	to	ADP
cana-5461	84	39	a	a	DET
cana-5461	84	40	particular	particular	ADJ
cana-5461	84	41	solution	solution	NOUN
cana-5461	84	42	(	(	PUNCT
cana-5461	84	43	i.e.	i.e.	X
cana-5461	84	44	,	,	PUNCT
cana-5461	84	45	the	the	DET
cana-5461	84	46	outcome	outcome	NOUN
cana-5461	84	47	of	of	ADP
cana-5461	84	48	emotion	emotion	NOUN
cana-5461	84	49	should	should	AUX
cana-5461	84	50	not	not	PART
cana-5461	84	51	be	be	AUX
cana-5461	84	52	too	too	ADV
cana-5461	84	53	wild	wild	ADJ
cana-5461	84	54	)	)	PUNCT
cana-5461	84	55	.	.	PUNCT
cana-5461	85	1	as	as	ADP
cana-5461	85	2	a	a	DET
cana-5461	85	3	system	system	NOUN
cana-5461	85	4	(	(	PUNCT
cana-5461	85	5	2	2	NUM
cana-5461	85	6	)	)	PUNCT
cana-5461	85	7	is	be	AUX
cana-5461	85	8	an	an	DET
cana-5461	85	9	autonomous	autonomous	ADJ
cana-5461	85	10	system	system	NOUN
cana-5461	85	11	,	,	PUNCT
cana-5461	85	12	it	it	PRON
cana-5461	85	13	may	may	AUX
cana-5461	85	14	have	have	VERB
cana-5461	85	15	an	an	DET
cana-5461	85	16	equilibrium	equilibrium	NOUN
cana-5461	85	17	solution	solution	NOUN
cana-5461	85	18	.	.	PUNCT
cana-5461	86	1	we	we	PRON
cana-5461	86	2	can	can	AUX
cana-5461	86	3	consider	consider	VERB
cana-5461	86	4	that	that	DET
cana-5461	86	5	equilibrium	equilibrium	NOUN
cana-5461	86	6	is	be	AUX
cana-5461	86	7	the	the	DET
cana-5461	86	8	optimal	optimal	ADJ
cana-5461	86	9	way	way	NOUN
cana-5461	86	10	of	of	ADP
cana-5461	86	11	responding	respond	VERB
cana-5461	86	12	to	to	ADP
cana-5461	86	13	emotion	emotion	NOUN
cana-5461	86	14	,	,	PUNCT
cana-5461	86	15	showing	show	VERB
cana-5461	86	16	one	one	NUM
cana-5461	86	17	’s	’s	PART
cana-5461	86	18	emotional	emotional	ADJ
cana-5461	86	19	stability	stability	NOUN
cana-5461	86	20	.	.	PUNCT
cana-5461	87	1	so	so	ADV
cana-5461	87	2	first	first	ADV
cana-5461	87	3	,	,	PUNCT
cana-5461	87	4	we	we	PRON
cana-5461	87	5	will	will	AUX
cana-5461	87	6	check	check	VERB
cana-5461	87	7	for	for	ADP
cana-5461	87	8	what	what	DET
cana-5461	87	9	conditions	condition	NOUN
cana-5461	87	10	does	do	AUX
cana-5461	87	11	the	the	DET
cana-5461	87	12	equilibrium	equilibrium	NOUN
cana-5461	87	13	of	of	ADP
cana-5461	87	14	the	the	DET
cana-5461	87	15	system	system	NOUN
cana-5461	87	16	exist	exist	VERB
cana-5461	87	17	.	.	PUNCT
cana-5461	88	1	since	since	SCONJ
cana-5461	88	2	the	the	DET
cana-5461	88	3	existence	existence	NOUN
cana-5461	88	4	of	of	ADP
cana-5461	88	5	equilibria	equilibrium	NOUN
cana-5461	88	6	is	be	AUX
cana-5461	88	7	not	not	PART
cana-5461	88	8	affected	affect	VERB
cana-5461	88	9	by	by	ADP
cana-5461	88	10	the	the	DET
cana-5461	88	11	presence	presence	NOUN
cana-5461	88	12	of	of	ADP
cana-5461	88	13	time	time	NOUN
cana-5461	88	14	delays	delay	NOUN
cana-5461	88	15	,	,	PUNCT
cana-5461	88	16	as	as	SCONJ
cana-5461	88	17	in	in	ADP
cana-5461	88	18	[	[	X
cana-5461	88	19	12	12	NUM
cana-5461	88	20	,	,	PUNCT
cana-5461	88	21	13	13	NUM
cana-5461	88	22	,	,	PUNCT
cana-5461	88	23	19	19	NUM
cana-5461	88	24	]	]	PUNCT
cana-5461	88	25	,	,	PUNCT
cana-5461	88	26	we	we	PRON
cana-5461	88	27	may	may	AUX
cana-5461	88	28	establish	establish	VERB
cana-5461	88	29	that	that	SCONJ
cana-5461	88	30	theorem	theorem	NOUN
cana-5461	88	31	2.1	2.1	NUM
cana-5461	88	32	.	.	PUNCT
cana-5461	89	1	if	if	SCONJ
cana-5461	89	2	the	the	DET
cana-5461	89	3	output	output	NOUN
cana-5461	89	4	functions	function	NOUN
cana-5461	89	5	satisfy	satisfy	VERB
cana-5461	89	6	conditions	condition	NOUN
cana-5461	89	7	(	(	PUNCT
cana-5461	89	8	3	3	NUM
cana-5461	89	9	)	)	PUNCT
cana-5461	89	10	and	and	CCONJ
cana-5461	89	11	the	the	DET
cana-5461	89	12	parameters	parameter	NOUN
cana-5461	89	13	satisfy	satisfy	VERB
cana-5461	89	14	conditions	condition	NOUN
cana-5461	89	15	n∑	n∑	PROPN
cana-5461	89	16	j=1	j=1	NOUN
cana-5461	89	17	|bji|pj	|bji|pj	PROPN
cana-5461	90	1	+	+	NUM
cana-5461	90	2	ri∑	ri∑	X
cana-5461	90	3	k=1	k=1	PROPN
cana-5461	90	4	|ciik	|ciik	PROPN
cana-5461	90	5	|m2ik	|m2ik	PROPN
cana-5461	91	1	<	<	X
cana-5461	91	2	ai	ai	PROPN
cana-5461	91	3	,	,	PUNCT
cana-5461	91	4	1	1	NUM
cana-5461	91	5	ai	ai	VERB
cana-5461	91	6	ri∑	ri∑	X
cana-5461	91	7	k=1	k=1	X
cana-5461	91	8	|ciik	|ciik	PRON
cana-5461	91	9	|m1ik	|m1ik	SYM
cana-5461	91	10	+	+	NOUN
cana-5461	91	11	1	1	NUM
cana-5461	91	12	cik	cik	X
cana-5461	91	13	ri∑	ri∑	PROPN
cana-5461	91	14	k=1	k=1	PROPN
cana-5461	91	15	|dik	|dik	NOUN
cana-5461	91	16	|qik	|qik	PROPN
cana-5461	91	17	<	<	X
cana-5461	91	18	1	1	X
cana-5461	91	19	.	.	PUNCT
cana-5461	92	1	(	(	PUNCT
cana-5461	92	2	4	4	NUM
cana-5461	92	3	)	)	PUNCT
cana-5461	92	4	then	then	ADV
cana-5461	92	5	the	the	DET
cana-5461	92	6	system	system	NOUN
cana-5461	92	7	(	(	PUNCT
cana-5461	92	8	2	2	X
cana-5461	92	9	)	)	PUNCT
cana-5461	92	10	has	have	VERB
cana-5461	92	11	a	a	DET
cana-5461	92	12	unique	unique	ADJ
cana-5461	92	13	equilibrium	equilibrium	NOUN
cana-5461	92	14	solution	solution	NOUN
cana-5461	92	15	.	.	PUNCT
cana-5461	93	1	thus	thus	ADV
cana-5461	93	2	,	,	PUNCT
cana-5461	93	3	under	under	ADP
cana-5461	93	4	conditions	condition	NOUN
cana-5461	93	5	(	(	PUNCT
cana-5461	93	6	4	4	NUM
cana-5461	93	7	)	)	PUNCT
cana-5461	93	8	,	,	PUNCT
cana-5461	93	9	system	system	NOUN
cana-5461	93	10	(	(	PUNCT
cana-5461	93	11	2	2	X
cana-5461	93	12	)	)	PUNCT
cana-5461	93	13	possesses	possess	VERB
cana-5461	93	14	a	a	DET
cana-5461	93	15	unique	unique	ADJ
cana-5461	93	16	equilibrium	equilibrium	NOUN
cana-5461	93	17	,	,	PUNCT
cana-5461	93	18	and	and	CCONJ
cana-5461	93	19	they	they	PRON
cana-5461	93	20	may	may	AUX
cana-5461	93	21	typically	typically	ADV
cana-5461	93	22	be	be	AUX
cana-5461	93	23	represented	represent	VERB
cana-5461	93	24	by	by	ADP
cana-5461	93	25	(	(	PUNCT
cana-5461	93	26	x∗i	x∗i	PROPN
cana-5461	93	27	,	,	PUNCT
cana-5461	93	28	y	y	PROPN
cana-5461	93	29	∗	∗	PROPN
cana-5461	93	30	ik	ik	PROPN
cana-5461	93	31	)	)	PUNCT
cana-5461	93	32	.	.	PUNCT
cana-5461	94	1	as	as	SCONJ
cana-5461	94	2	we	we	PRON
cana-5461	94	3	know	know	VERB
cana-5461	94	4	that	that	SCONJ
cana-5461	94	5	equilibria	equilibrium	NOUN
cana-5461	94	6	are	be	AUX
cana-5461	94	7	stationary	stationary	ADJ
cana-5461	94	8	solutions	solution	NOUN
cana-5461	94	9	of	of	ADP
cana-5461	94	10	the	the	DET
cana-5461	94	11	system	system	NOUN
cana-5461	94	12	,	,	PUNCT
cana-5461	94	13	we	we	PRON
cana-5461	94	14	can	can	AUX
cana-5461	94	15	write	write	VERB
cana-5461	94	16	(	(	PUNCT
cana-5461	94	17	xi	xi	PROPN
cana-5461	94	18	−	−	PROPN
cana-5461	94	19	x∗i	x∗i	PROPN
cana-5461	94	20	)	)	PUNCT
cana-5461	94	21	′	′	NUM
cana-5461	95	1	=	=	PUNCT
cana-5461	95	2	−ai(xi	−ai(xi	PUNCT
cana-5461	95	3	−	−	PROPN
cana-5461	95	4	x∗i	x∗i	NUM
cana-5461	95	5	)	)	PUNCT
cana-5461	96	1	+	+	PUNCT
cana-5461	96	2	n∑	n∑	PUNCT
cana-5461	96	3	j=1	j=1	PROPN
cana-5461	96	4	bij(fj(xj(t−	bij(fj(xj(t−	PROPN
cana-5461	96	5	τj))−	τj))−	PUNCT
cana-5461	96	6	fj(x	fj(x	PUNCT
cana-5461	96	7	∗	∗	PROPN
cana-5461	96	8	j	j	PROPN
cana-5461	96	9	)	)	PUNCT
cana-5461	96	10	)	)	PUNCT
cana-5461	97	1	+	+	CCONJ
cana-5461	97	2	ri∑	ri∑	X
cana-5461	97	3	k=1	k=1	X
cana-5461	97	4	ciik(gik(xi	ciik(gik(xi	PROPN
cana-5461	97	5	,	,	PUNCT
cana-5461	97	6	yik(t−	yik(t−	PROPN
cana-5461	98	1	ϑik))−	ϑik))−	ADP
cana-5461	98	2	gik(x	gik(x	PROPN
cana-5461	98	3	∗	∗	NOUN
cana-5461	98	4	i	i	PRON
cana-5461	98	5	,	,	PUNCT
cana-5461	98	6	y	y	PROPN
cana-5461	98	7	∗	∗	PROPN
cana-5461	98	8	ik	ik	PROPN
cana-5461	98	9	)	)	PUNCT
cana-5461	98	10	)	)	PUNCT
cana-5461	98	11	,	,	PUNCT
cana-5461	98	12	(	(	PUNCT
cana-5461	98	13	yik	yik	PROPN
cana-5461	98	14	−	−	PROPN
cana-5461	98	15	y∗ik	y∗ik	PROPN
cana-5461	98	16	)	)	PUNCT
cana-5461	98	17	′	′	NUM
cana-5461	99	1	=	=	PUNCT
cana-5461	99	2	−cik(yik	−cik(yik	NUM
cana-5461	99	3	−	−	PROPN
cana-5461	99	4	y∗ik	y∗ik	NOUN
cana-5461	99	5	)	)	PUNCT
cana-5461	100	1	+	+	NUM
cana-5461	100	2	ri∑	ri∑	PROPN
cana-5461	100	3	l=1	l=1	NOUN
cana-5461	100	4	dil(hil(yil(t−	dil(hil(yil(t−	INTJ
cana-5461	100	5	ζil))−	ζil))−	NOUN
cana-5461	101	1	hil(y	hil(y	PROPN
cana-5461	101	2	∗	∗	NOUN
cana-5461	101	3	il	il	PROPN
cana-5461	101	4	)	)	PUNCT
cana-5461	101	5	)	)	PUNCT
cana-5461	101	6	,	,	PUNCT
cana-5461	101	7	(	(	PUNCT
cana-5461	101	8	5	5	X
cana-5461	101	9	)	)	PUNCT
cana-5461	102	1	where	where	SCONJ
cana-5461	102	2	i	i	PRON
cana-5461	102	3	=	=	NOUN
cana-5461	102	4	1	1	NUM
cana-5461	102	5	,	,	PUNCT
cana-5461	102	6	2	2	NUM
cana-5461	102	7	,	,	PUNCT
cana-5461	102	8	3	3	NUM
cana-5461	102	9	....	....	SYM
cana-5461	102	10	n	n	CCONJ
cana-5461	102	11	,	,	PUNCT
cana-5461	102	12	k	k	PROPN
cana-5461	102	13	=	=	SYM
cana-5461	102	14	1	1	NUM
cana-5461	102	15	,	,	PUNCT
cana-5461	102	16	2	2	NUM
cana-5461	102	17	,	,	PUNCT
cana-5461	102	18	3	3	NUM
cana-5461	102	19	.....	.....	SYM
cana-5461	102	20	ri	ri	NOUN
cana-5461	102	21	and	and	CCONJ
cana-5461	102	22	1	1	NUM
cana-5461	102	23	≤	≤	NUM
cana-5461	102	24	ri	ri	NOUN
cana-5461	102	25	≤	≤	PROPN
cana-5461	102	26	n.	n.	NOUN
cana-5461	102	27	we	we	PRON
cana-5461	102	28	will	will	AUX
cana-5461	102	29	be	be	AUX
cana-5461	102	30	using	use	VERB
cana-5461	102	31	equation	equation	NOUN
cana-5461	102	32	(	(	PUNCT
cana-5461	102	33	5	5	X
cana-5461	102	34	)	)	PUNCT
cana-5461	102	35	whenever	whenever	SCONJ
cana-5461	102	36	required	require	VERB
cana-5461	102	37	in	in	ADP
cana-5461	102	38	our	our	PRON
cana-5461	102	39	results	result	NOUN
cana-5461	102	40	.	.	PUNCT
cana-5461	103	1	5	5	NUM
cana-5461	103	2	vol	vol	NOUN
cana-5461	103	3	32	32	NUM
cana-5461	103	4	no	no	NOUN
cana-5461	103	5	.	.	PUNCT
cana-5461	103	6	10s(2025	10s(2025	NUM
cana-5461	103	7	)	)	PUNCT
cana-5461	103	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	103	9	communications	communication	NOUN
cana-5461	103	10	on	on	ADP
cana-5461	103	11	applied	apply	VERB
cana-5461	103	12	nonlinear	nonlinear	ADJ
cana-5461	103	13	analysis	analysis	NOUN
cana-5461	103	14	issn:1074	issn:1074	NOUN
cana-5461	103	15	-	-	NOUN
cana-5461	103	16	133x	133x	NUM
cana-5461	103	17	2350	2350	NUM
cana-5461	103	18	remark	remark	NOUN
cana-5461	103	19	2.2	2.2	NUM
cana-5461	103	20	.	.	PUNCT
cana-5461	104	1	from	from	ADP
cana-5461	104	2	here	here	ADV
cana-5461	104	3	on	on	ADV
cana-5461	104	4	,	,	PUNCT
cana-5461	104	5	we	we	PRON
cana-5461	104	6	assume	assume	VERB
cana-5461	104	7	that	that	SCONJ
cana-5461	104	8	the	the	DET
cana-5461	104	9	equilibrium	equilibrium	NOUN
cana-5461	104	10	always	always	ADV
cana-5461	104	11	exists	exist	VERB
cana-5461	104	12	in	in	ADP
cana-5461	104	13	our	our	PRON
cana-5461	104	14	system	system	NOUN
cana-5461	104	15	.	.	PUNCT
cana-5461	105	1	we	we	PRON
cana-5461	105	2	notice	notice	VERB
cana-5461	105	3	that	that	SCONJ
cana-5461	105	4	conditions	condition	NOUN
cana-5461	105	5	(	(	PUNCT
cana-5461	105	6	4	4	X
cana-5461	105	7	)	)	PUNCT
cana-5461	105	8	are	be	AUX
cana-5461	105	9	sufficient	sufficient	ADJ
cana-5461	105	10	and	and	CCONJ
cana-5461	105	11	simpler	simple	ADJ
cana-5461	105	12	conditions	condition	NOUN
cana-5461	105	13	may	may	AUX
cana-5461	105	14	exist	exist	VERB
cana-5461	105	15	that	that	PRON
cana-5461	105	16	ensure	ensure	VERB
cana-5461	105	17	existence	existence	NOUN
cana-5461	105	18	.	.	PUNCT
cana-5461	106	1	however	however	ADV
cana-5461	106	2	,	,	PUNCT
cana-5461	106	3	we	we	PRON
cana-5461	106	4	may	may	AUX
cana-5461	106	5	recall	recall	VERB
cana-5461	106	6	theorem	theorem	VERB
cana-5461	106	7	2.1	2.1	NUM
cana-5461	106	8	whenever	whenever	SCONJ
cana-5461	106	9	necessary	necessary	ADJ
cana-5461	106	10	.	.	PUNCT
cana-5461	107	1	now	now	ADV
cana-5461	107	2	the	the	DET
cana-5461	107	3	question	question	NOUN
cana-5461	107	4	arises	arise	VERB
cana-5461	107	5	,	,	PUNCT
cana-5461	107	6	under	under	ADP
cana-5461	107	7	what	what	DET
cana-5461	107	8	conditions	condition	NOUN
cana-5461	107	9	do	do	AUX
cana-5461	107	10	the	the	DET
cana-5461	107	11	solutions	solution	NOUN
cana-5461	107	12	of	of	ADP
cana-5461	107	13	(	(	PUNCT
cana-5461	107	14	2	2	NUM
cana-5461	107	15	)	)	PUNCT
cana-5461	107	16	converge	converge	VERB
cana-5461	107	17	to	to	ADP
cana-5461	107	18	the	the	DET
cana-5461	107	19	equilibrium	equilibrium	NOUN
cana-5461	107	20	point	point	NOUN
cana-5461	107	21	.	.	PUNCT
cana-5461	108	1	so	so	ADV
cana-5461	108	2	next	next	ADV
cana-5461	108	3	we	we	PRON
cana-5461	108	4	try	try	VERB
cana-5461	108	5	to	to	PART
cana-5461	108	6	derive	derive	VERB
cana-5461	108	7	sufficient	sufficient	ADJ
cana-5461	108	8	conditions	condition	NOUN
cana-5461	108	9	for	for	SCONJ
cana-5461	108	10	the	the	DET
cana-5461	108	11	solutions	solution	NOUN
cana-5461	108	12	to	to	PART
cana-5461	108	13	converge	converge	VERB
cana-5461	108	14	to	to	ADP
cana-5461	108	15	equilibria	equilibria	PROPN
cana-5461	108	16	,	,	PUNCT
cana-5461	108	17	which	which	PRON
cana-5461	108	18	are	be	AUX
cana-5461	108	19	nothing	nothing	PRON
cana-5461	108	20	but	but	SCONJ
cana-5461	108	21	the	the	DET
cana-5461	108	22	conditions	condition	NOUN
cana-5461	108	23	for	for	ADP
cana-5461	108	24	global	global	ADJ
cana-5461	108	25	asymptotic	asymptotic	ADJ
cana-5461	108	26	stability	stability	NOUN
cana-5461	108	27	of	of	ADP
cana-5461	108	28	the	the	DET
cana-5461	108	29	system	system	NOUN
cana-5461	108	30	.	.	PUNCT
cana-5461	109	1	two	two	NUM
cana-5461	109	2	types	type	NOUN
cana-5461	109	3	of	of	ADP
cana-5461	109	4	conditions	condition	NOUN
cana-5461	109	5	are	be	AUX
cana-5461	109	6	derived	derive	VERB
cana-5461	109	7	here	here	ADV
cana-5461	109	8	using	use	VERB
cana-5461	109	9	the	the	DET
cana-5461	109	10	lyapunov	lyapunov	ADJ
cana-5461	109	11	functional	functional	ADJ
cana-5461	109	12	technique	technique	NOUN
cana-5461	109	13	.	.	PUNCT
cana-5461	110	1	first	first	ADJ
cana-5461	110	2	one	one	NUM
cana-5461	110	3	is	be	AUX
cana-5461	110	4	delay	delay	VERB
cana-5461	110	5	independent	independent	ADJ
cana-5461	110	6	stability	stability	NOUN
cana-5461	110	7	where	where	SCONJ
cana-5461	110	8	the	the	DET
cana-5461	110	9	parametric	parametric	ADJ
cana-5461	110	10	conditions	condition	NOUN
cana-5461	110	11	are	be	AUX
cana-5461	110	12	derived	derive	VERB
cana-5461	110	13	without	without	ADP
cana-5461	110	14	restricting	restrict	VERB
cana-5461	110	15	the	the	DET
cana-5461	110	16	delays	delay	NOUN
cana-5461	110	17	and	and	CCONJ
cana-5461	110	18	the	the	DET
cana-5461	110	19	second	second	ADJ
cana-5461	110	20	one	one	NOUN
cana-5461	110	21	is	be	AUX
cana-5461	110	22	delay	delay	NOUN
cana-5461	110	23	-	-	PUNCT
cana-5461	110	24	dependent	dependent	ADJ
cana-5461	110	25	stability	stability	NOUN
cana-5461	110	26	where	where	SCONJ
cana-5461	110	27	the	the	DET
cana-5461	110	28	conditions	condition	NOUN
cana-5461	110	29	are	be	AUX
cana-5461	110	30	derived	derive	VERB
cana-5461	110	31	by	by	ADP
cana-5461	110	32	restricting	restrict	VERB
cana-5461	110	33	the	the	DET
cana-5461	110	34	delay	delay	NOUN
cana-5461	110	35	parameters	parameter	NOUN
cana-5461	110	36	to	to	ADP
cana-5461	110	37	a	a	DET
cana-5461	110	38	particular	particular	ADJ
cana-5461	110	39	region	region	NOUN
cana-5461	110	40	.	.	PUNCT
cana-5461	111	1	let	let	VERB
cana-5461	111	2	us	we	PRON
cana-5461	111	3	first	first	ADV
cana-5461	111	4	derive	derive	VERB
cana-5461	111	5	the	the	DET
cana-5461	111	6	delayindependent	delayindependent	NOUN
cana-5461	111	7	conditions	condition	NOUN
cana-5461	111	8	.	.	PUNCT
cana-5461	112	1	2.1	2.1	NUM
cana-5461	112	2	delay	delay	NOUN
cana-5461	112	3	independent	independent	ADJ
cana-5461	112	4	here	here	ADV
cana-5461	112	5	,	,	PUNCT
cana-5461	112	6	we	we	PRON
cana-5461	112	7	have	have	AUX
cana-5461	112	8	obtained	obtain	VERB
cana-5461	112	9	parametric	parametric	ADJ
cana-5461	112	10	conditions	condition	NOUN
cana-5461	112	11	for	for	ADP
cana-5461	112	12	asymptotic	asymptotic	ADJ
cana-5461	112	13	stability	stability	NOUN
cana-5461	112	14	without	without	ADP
cana-5461	112	15	restricting	restrict	VERB
cana-5461	112	16	delay	delay	NOUN
cana-5461	112	17	parameters	parameter	NOUN
cana-5461	112	18	.	.	PUNCT
cana-5461	113	1	these	these	DET
cana-5461	113	2	conditions	condition	NOUN
cana-5461	113	3	are	be	AUX
cana-5461	113	4	for	for	ADP
cana-5461	113	5	those	those	DET
cana-5461	113	6	situations	situation	NOUN
cana-5461	113	7	where	where	SCONJ
cana-5461	113	8	emotional	emotional	ADJ
cana-5461	113	9	stability	stability	NOUN
cana-5461	113	10	is	be	AUX
cana-5461	113	11	not	not	PART
cana-5461	113	12	affected	affect	VERB
cana-5461	113	13	by	by	ADP
cana-5461	113	14	time	time	NOUN
cana-5461	113	15	delays	delay	NOUN
cana-5461	113	16	.	.	PUNCT
cana-5461	114	1	in	in	ADP
cana-5461	114	2	this	this	DET
cana-5461	114	3	regard	regard	NOUN
cana-5461	114	4	,	,	PUNCT
cana-5461	114	5	we	we	PRON
cana-5461	114	6	state	state	VERB
cana-5461	114	7	the	the	DET
cana-5461	114	8	following	follow	VERB
cana-5461	114	9	theorem	theorem	NOUN
cana-5461	114	10	theorem	theorem	VERB
cana-5461	114	11	2.3	2.3	NUM
cana-5461	114	12	.	.	PUNCT
cana-5461	115	1	assume	assume	VERB
cana-5461	115	2	that	that	SCONJ
cana-5461	115	3	the	the	DET
cana-5461	115	4	output	output	NOUN
cana-5461	115	5	function	function	NOUN
cana-5461	115	6	fi	fi	NOUN
cana-5461	115	7	,	,	PUNCT
cana-5461	115	8	gik	gik	PROPN
cana-5461	115	9	and	and	CCONJ
cana-5461	115	10	hil	hil	PROPN
cana-5461	115	11	satisfy	satisfy	VERB
cana-5461	115	12	the	the	DET
cana-5461	115	13	conditions	condition	NOUN
cana-5461	115	14	(	(	PUNCT
cana-5461	115	15	3	3	NUM
cana-5461	115	16	)	)	PUNCT
cana-5461	115	17	then	then	ADV
cana-5461	115	18	the	the	DET
cana-5461	115	19	equilibrium	equilibrium	NOUN
cana-5461	115	20	(	(	PUNCT
cana-5461	115	21	x∗i	x∗i	PROPN
cana-5461	115	22	,	,	PUNCT
cana-5461	115	23	y	y	PROPN
cana-5461	115	24	∗	∗	PROPN
cana-5461	115	25	ik	ik	PROPN
cana-5461	115	26	)	)	PUNCT
cana-5461	115	27	of	of	ADP
cana-5461	115	28	(	(	PUNCT
cana-5461	115	29	2	2	X
cana-5461	115	30	)	)	PUNCT
cana-5461	115	31	is	be	AUX
cana-5461	115	32	globally	globally	ADV
cana-5461	115	33	asymptotically	asymptotically	ADV
cana-5461	115	34	stable	stable	ADJ
cana-5461	115	35	,	,	PUNCT
cana-5461	115	36	provided	provide	VERB
cana-5461	115	37	the	the	DET
cana-5461	115	38	parameters	parameter	NOUN
cana-5461	115	39	of	of	ADP
cana-5461	115	40	the	the	DET
cana-5461	115	41	system	system	NOUN
cana-5461	115	42	satisfy	satisfy	VERB
cana-5461	115	43	the	the	DET
cana-5461	115	44	inequalities	inequality	NOUN
cana-5461	115	45	ai	ai	VERB
cana-5461	115	46	>	>	X
cana-5461	115	47	n∑	n∑	PUNCT
cana-5461	115	48	j=1	j=1	PROPN
cana-5461	115	49	|bji|pi	|bji|pi	PROPN
cana-5461	116	1	+	+	CCONJ
cana-5461	116	2	ri∑	ri∑	PROPN
cana-5461	116	3	k=1	k=1	PROPN
cana-5461	116	4	|ciik	|ciik	PROPN
cana-5461	116	5	|m2ik	|m2ik	PROPN
cana-5461	116	6	,	,	PUNCT
cana-5461	116	7	cik	cik	PROPN
cana-5461	116	8	>	>	X
cana-5461	116	9	ri∑	ri∑	PROPN
cana-5461	116	10	k=1	k=1	PROPN
cana-5461	116	11	|dik	|dik	PROPN
cana-5461	116	12	|qik	|qik	PROPN
cana-5461	116	13	.	.	PUNCT
cana-5461	117	1	(	(	PUNCT
cana-5461	117	2	6	6	X
cana-5461	117	3	)	)	PUNCT
cana-5461	117	4	proof	proof	NOUN
cana-5461	117	5	.	.	PUNCT
cana-5461	118	1	consider	consider	VERB
cana-5461	118	2	the	the	DET
cana-5461	118	3	functional	functional	ADJ
cana-5461	118	4	v1	v1	NOUN
cana-5461	118	5	=	=	PUNCT
cana-5461	118	6	|yik	|yik	PROPN
cana-5461	118	7	−	−	PROPN
cana-5461	118	8	y∗ik	y∗ik	PROPN
cana-5461	118	9	|+	|+	X
cana-5461	119	1	ri∑	ri∑	PROPN
cana-5461	119	2	l=1	l=1	PROPN
cana-5461	119	3	|dil	|dil	PROPN
cana-5461	119	4	|qil	|qil	PROPN
cana-5461	119	5	∫	∫	PROPN
cana-5461	119	6	t	t	PROPN
cana-5461	119	7	t−ζil	t−ζil	NOUN
cana-5461	119	8	|yil(z)−	|yil(z)−	PROPN
cana-5461	119	9	y∗il	y∗il	PROPN
cana-5461	119	10	|dz	|dz	PROPN
cana-5461	119	11	6	6	NUM
cana-5461	119	12	vol	vol	NOUN
cana-5461	119	13	32	32	NUM
cana-5461	119	14	no	no	NOUN
cana-5461	119	15	.	.	PUNCT
cana-5461	120	1	10s(2025	10s(2025	NUM
cana-5461	120	2	)	)	PUNCT
cana-5461	120	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	120	4	communications	communication	NOUN
cana-5461	120	5	on	on	ADP
cana-5461	120	6	applied	apply	VERB
cana-5461	120	7	nonlinear	nonlinear	ADJ
cana-5461	120	8	analysis	analysis	NOUN
cana-5461	120	9	issn:1074	issn:1074	NOUN
cana-5461	120	10	-	-	NOUN
cana-5461	120	11	133x	133x	NUM
cana-5461	120	12	2351	2351	NUM
cana-5461	120	13	then	then	ADV
cana-5461	120	14	the	the	DET
cana-5461	120	15	upper	upper	ADJ
cana-5461	120	16	dini	dini	NOUN
cana-5461	120	17	derivatives	derivative	NOUN
cana-5461	120	18	along	along	ADP
cana-5461	120	19	the	the	DET
cana-5461	120	20	solutions	solution	NOUN
cana-5461	120	21	of	of	ADP
cana-5461	120	22	(	(	PUNCT
cana-5461	120	23	2	2	NUM
cana-5461	120	24	)	)	PUNCT
cana-5461	120	25	is	be	AUX
cana-5461	120	26	given	give	VERB
cana-5461	120	27	by	by	ADP
cana-5461	120	28	d+v1	d+v1	PROPN
cana-5461	120	29	⩽	⩽	PROPN
cana-5461	120	30	−cik	−cik	PUNCT
cana-5461	120	31	|yik	|yik	VERB
cana-5461	120	32	−	−	PROPN
cana-5461	120	33	y∗ik	y∗ik	PROPN
cana-5461	120	34	|+	|+	X
cana-5461	121	1	ri∑	ri∑	PROPN
cana-5461	121	2	l=1	l=1	PROPN
cana-5461	121	3	|dil	|dil	VERB
cana-5461	121	4	||hil(yil(t−	||hil(yil(t−	NOUN
cana-5461	121	5	ζil))−	ζil))−	NOUN
cana-5461	122	1	hil(y	hil(y	PROPN
cana-5461	122	2	∗	∗	NOUN
cana-5461	122	3	il	il	PROPN
cana-5461	122	4	)	)	PUNCT
cana-5461	123	1	|	|	ADV
cana-5461	123	2	+	+	CCONJ
cana-5461	123	3	ri∑	ri∑	PROPN
cana-5461	123	4	l=1	l=1	PROPN
cana-5461	123	5	|dil	|dil	PROPN
cana-5461	123	6	|qil	|qil	PROPN
cana-5461	123	7	[	[	PUNCT
cana-5461	123	8	|yil	|yil	PROPN
cana-5461	123	9	−	−	PROPN
cana-5461	123	10	y∗il	y∗il	NOUN
cana-5461	123	11	|	|	ADV
cana-5461	123	12	−	−	NOUN
cana-5461	123	13	|yil(t−	|yil(t−	ADP
cana-5461	123	14	ζil)−	ζil)−	PROPN
cana-5461	123	15	y∗il	y∗il	NOUN
cana-5461	123	16	|	|	ADV
cana-5461	123	17	]	]	PUNCT
cana-5461	123	18	⩽	⩽	ADJ
cana-5461	124	1	−	−	PROPN
cana-5461	124	2	[	[	PUNCT
cana-5461	124	3	cik	cik	PROPN
cana-5461	124	4	−	−	PROPN
cana-5461	124	5	ri∑	ri∑	PROPN
cana-5461	124	6	k=1	k=1	PROPN
cana-5461	124	7	|dik	|dik	NOUN
cana-5461	124	8	|qik	|qik	PROPN
cana-5461	124	9	]	]	PUNCT
cana-5461	124	10	|yik	|yik	VERB
cana-5461	124	11	−	−	PROPN
cana-5461	124	12	y∗ik	y∗ik	PROPN
cana-5461	124	13	|	|	ADV
cana-5461	124	14	⩽	⩽	PUNCT
cana-5461	124	15	−av1	−av1	VERB
cana-5461	124	16	where	where	SCONJ
cana-5461	124	17	a	a	DET
cana-5461	124	18	=	=	NOUN
cana-5461	124	19	min	min	NOUN
cana-5461	124	20	{	{	PUNCT
cana-5461	124	21	cik	cik	PROPN
cana-5461	124	22	−	−	PROPN
cana-5461	124	23	∑ri	∑ri	PUNCT
cana-5461	124	24	k=1	k=1	PROPN
cana-5461	124	25	|dik	|dik	PROPN
cana-5461	124	26	|qik	|qik	PROPN
cana-5461	124	27	,	,	PUNCT
cana-5461	124	28	i	i	PRON
cana-5461	124	29	=	=	NOUN
cana-5461	124	30	1	1	NUM
cana-5461	124	31	,	,	PUNCT
cana-5461	124	32	2	2	NUM
cana-5461	124	33	...	...	SYM
cana-5461	124	34	n	n	CCONJ
cana-5461	124	35	,	,	PUNCT
cana-5461	124	36	1	1	NUM
cana-5461	124	37	≤	≤	NUM
cana-5461	124	38	k	k	X
cana-5461	124	39	≤	≤	PROPN
cana-5461	124	40	ri	ri	X
cana-5461	124	41	}	}	PUNCT
cana-5461	124	42	by	by	ADP
cana-5461	124	43	hypothesis	hypothesis	NOUN
cana-5461	124	44	a	a	PRON
cana-5461	124	45	>	>	X
cana-5461	124	46	0	0	NUM
cana-5461	124	47	,	,	PUNCT
cana-5461	124	48	therefore	therefore	ADV
cana-5461	124	49	we	we	PRON
cana-5461	124	50	get	get	VERB
cana-5461	124	51	d+v1	d+v1	PROPN
cana-5461	124	52	<	<	X
cana-5461	124	53	−av1	−av1	ADJ
cana-5461	124	54	<	<	NOUN
cana-5461	124	55	0	0	NUM
cana-5461	124	56	⇒	⇒	NOUN
cana-5461	124	57	d+v1	d+v1	NOUN
cana-5461	124	58	+	+	PROPN
cana-5461	124	59	av1	av1	PROPN
cana-5461	124	60	<	<	X
cana-5461	124	61	0	0	NUM
cana-5461	124	62	.	.	PUNCT
cana-5461	125	1	by	by	ADP
cana-5461	125	2	comparision	comparision	NOUN
cana-5461	125	3	theorem	theorem	VERB
cana-5461	125	4	using	use	VERB
cana-5461	125	5	v1	v1	PROPN
cana-5461	125	6	≥	≥	NOUN
cana-5461	125	7	0	0	NUM
cana-5461	125	8	,	,	PUNCT
cana-5461	125	9	we	we	PRON
cana-5461	125	10	have	have	AUX
cana-5461	125	11	v1	v1	NOUN
cana-5461	125	12	−→	−→	NOUN
cana-5461	125	13	0	0	NUM
cana-5461	125	14	as	as	SCONJ
cana-5461	125	15	t	t	PROPN
cana-5461	125	16	−→	−→	NOUN
cana-5461	125	17	∞.	∞.	PROPN
cana-5461	125	18	thus	thus	ADV
cana-5461	125	19	for	for	ADP
cana-5461	125	20	sufficiently	sufficiently	ADV
cana-5461	125	21	large	large	ADJ
cana-5461	125	22	t	t	PROPN
cana-5461	125	23	,	,	PUNCT
cana-5461	125	24	say	say	VERB
cana-5461	125	25	t	t	PROPN
cana-5461	125	26	>	>	X
cana-5461	125	27	t∗	t∗	PROPN
cana-5461	125	28	,	,	PUNCT
cana-5461	125	29	we	we	PRON
cana-5461	125	30	have	have	AUX
cana-5461	125	31	yik	yik	NOUN
cana-5461	125	32	−→	−→	NOUN
cana-5461	125	33	y∗ik	y∗ik	PROPN
cana-5461	125	34	now	now	ADV
cana-5461	125	35	in	in	ADP
cana-5461	125	36	order	order	NOUN
cana-5461	125	37	to	to	PART
cana-5461	125	38	prove	prove	VERB
cana-5461	125	39	xi	xi	ADP
cana-5461	125	40	−→	−→	NOUN
cana-5461	125	41	x∗i	x∗i	NUM
cana-5461	125	42	,	,	PUNCT
cana-5461	125	43	we	we	PRON
cana-5461	125	44	consider	consider	VERB
cana-5461	126	1	v2	v2	NOUN
cana-5461	126	2	=	=	PUNCT
cana-5461	126	3	n∑	n∑	NOUN
cana-5461	126	4	i=1	i=1	PRON
cana-5461	127	1	[	[	PUNCT
cana-5461	127	2	|xi	|xi	X
cana-5461	127	3	−	−	PROPN
cana-5461	127	4	x∗i	x∗i	NUM
cana-5461	127	5	|+	|+	NOUN
cana-5461	127	6	n∑	n∑	NOUN
cana-5461	127	7	j=1	j=1	PROPN
cana-5461	127	8	|bij	|bij	AUX
cana-5461	127	9	|pj	|pj	NUM
cana-5461	127	10	∫	∫	PROPN
cana-5461	127	11	t	t	PROPN
cana-5461	127	12	t−τj	t−τj	NOUN
cana-5461	127	13	|xj(z)−	|xj(z)−	PROPN
cana-5461	127	14	x∗j	x∗j	PUNCT
cana-5461	127	15	|dz	|dz	X
cana-5461	128	1	+	+	CCONJ
cana-5461	128	2	ri∑	ri∑	PROPN
cana-5461	128	3	k=1	k=1	X
cana-5461	128	4	|ciik	|ciik	PROPN
cana-5461	128	5	|m1ik	|m1ik	PROPN
cana-5461	128	6	∫	∫	PROPN
cana-5461	128	7	t	t	PROPN
cana-5461	128	8	t−ϑik	t−ϑik	VERB
cana-5461	128	9	|yik(z)−	|yik(z)−	X
cana-5461	128	10	y∗ik	y∗ik	PROPN
cana-5461	128	11	|dz	|dz	X
cana-5461	128	12	]	]	PUNCT
cana-5461	128	13	for	for	ADP
cana-5461	128	14	t	t	PROPN
cana-5461	128	15	>	>	X
cana-5461	128	16	t	t	PROPN
cana-5461	128	17	=	=	PUNCT
cana-5461	128	18	t∗	t∗	PROPN
cana-5461	128	19	+	+	NOUN
cana-5461	128	20	max{τj	max{τj	NOUN
cana-5461	128	21	}	}	PUNCT
cana-5461	128	22	for	for	ADP
cana-5461	128	23	all	all	DET
cana-5461	128	24	j	j	NOUN
cana-5461	128	25	and	and	CCONJ
cana-5461	128	26	proceeding	proceed	VERB
cana-5461	128	27	as	as	ADP
cana-5461	128	28	above	above	ADV
cana-5461	128	29	we	we	PRON
cana-5461	128	30	get	get	VERB
cana-5461	128	31	d+v2	d+v2	ADJ
cana-5461	128	32	≤	≤	NOUN
cana-5461	128	33	−	−	PROPN
cana-5461	129	1	n∑	n∑	NOUN
cana-5461	129	2	i=1	i=1	PROPN
cana-5461	130	1	[	[	PUNCT
cana-5461	130	2	ai	ai	INTJ
cana-5461	130	3	−	−	PROPN
cana-5461	130	4	ri∑	ri∑	PROPN
cana-5461	130	5	k=1	k=1	PROPN
cana-5461	130	6	|ciik	|ciik	PROPN
cana-5461	130	7	|m2ik	|m2ik	PROPN
cana-5461	131	1	−	−	PROPN
cana-5461	132	1	n∑	n∑	NOUN
cana-5461	132	2	j=1	j=1	PROPN
cana-5461	132	3	|bji|pi	|bji|pi	PROPN
cana-5461	132	4	]	]	PUNCT
cana-5461	133	1	|xi	|xi	PRON
cana-5461	133	2	−	−	PROPN
cana-5461	133	3	x∗i	x∗i	NUM
cana-5461	134	1	|	|	NOUN
cana-5461	134	2	=	=	PUNCT
cana-5461	135	1	−	−	PROPN
cana-5461	135	2	n∑	n∑	INTJ
cana-5461	135	3	i=1	i=1	PROPN
cana-5461	135	4	b|xi	b|xi	PUNCT
cana-5461	136	1	−	−	PROPN
cana-5461	137	1	x∗i	x∗i	NUM
cana-5461	137	2	|	|	INTJ
cana-5461	137	3	(	(	PUNCT
cana-5461	137	4	7	7	NUM
cana-5461	137	5	)	)	PUNCT
cana-5461	137	6	where	where	SCONJ
cana-5461	137	7	b	b	NOUN
cana-5461	137	8	=	=	SYM
cana-5461	137	9	min	min	PROPN
cana-5461	137	10	{	{	PUNCT
cana-5461	137	11	ai	ai	VERB
cana-5461	137	12	−	−	PROPN
cana-5461	137	13	∑ri	∑ri	PUNCT
cana-5461	138	1	k=1	k=1	X
cana-5461	138	2	|ciik	|ciik	PROPN
cana-5461	138	3	|m2ik	|m2ik	PROPN
cana-5461	139	1	−	−	PROPN
cana-5461	139	2	∑n	∑n	PROPN
cana-5461	139	3	j=1	j=1	PROPN
cana-5461	139	4	|bji|pi	|bji|pi	VERB
cana-5461	139	5	}	}	PUNCT
cana-5461	139	6	by	by	ADP
cana-5461	139	7	hypothesis	hypothesis	NOUN
cana-5461	139	8	b	b	PROPN
cana-5461	139	9	>	>	X
cana-5461	139	10	0	0	PROPN
cana-5461	139	11	,	,	PUNCT
cana-5461	139	12	therefore	therefore	ADV
cana-5461	139	13	d+v2	d+v2	VERB
cana-5461	139	14	<	<	X
cana-5461	139	15	0	0	NUM
cana-5461	139	16	.	.	PUNCT
cana-5461	140	1	if	if	SCONJ
cana-5461	140	2	we	we	PRON
cana-5461	140	3	integrate	integrate	VERB
cana-5461	140	4	(	(	PUNCT
cana-5461	140	5	7	7	NUM
cana-5461	140	6	)	)	PUNCT
cana-5461	140	7	from	from	ADP
cana-5461	140	8	0	0	NUM
cana-5461	140	9	to	to	ADP
cana-5461	140	10	t	t	PROPN
cana-5461	140	11	with	with	ADP
cana-5461	140	12	respect	respect	NOUN
cana-5461	140	13	to	to	ADP
cana-5461	140	14	t	t	NOUN
cana-5461	140	15	we	we	PRON
cana-5461	140	16	get	get	VERB
cana-5461	140	17	v2(t	v2(t	NOUN
cana-5461	140	18	)	)	PUNCT
cana-5461	141	1	+	+	CCONJ
cana-5461	142	1	∫	∫	PROPN
cana-5461	142	2	t	t	NOUN
cana-5461	142	3	0	0	NUM
cana-5461	143	1	n∑	n∑	PROPN
cana-5461	143	2	i=1	i=1	PROPN
cana-5461	143	3	b|xi	b|xi	PUNCT
cana-5461	144	1	−	−	PROPN
cana-5461	144	2	x∗i	x∗i	NUM
cana-5461	144	3	|dt	|dt	PROPN
cana-5461	144	4	≤	≤	NUM
cana-5461	144	5	v2(0	v2(0	NOUN
cana-5461	144	6	)	)	PUNCT
cana-5461	144	7	<	<	X
cana-5461	145	1	∞	∞	NUM
cana-5461	145	2	therefore	therefore	ADV
cana-5461	145	3	we	we	PRON
cana-5461	145	4	can	can	AUX
cana-5461	145	5	say	say	VERB
cana-5461	145	6	that	that	DET
cana-5461	145	7	v2(t	v2(t	PROPN
cana-5461	145	8	)	)	PUNCT
cana-5461	145	9	&	&	CCONJ
cana-5461	145	10	xi	xi	PROPN
cana-5461	145	11	and	and	CCONJ
cana-5461	145	12	there	there	PRON
cana-5461	145	13	derivatives	derivative	NOUN
cana-5461	145	14	are	be	AUX
cana-5461	145	15	bounded	bound	VERB
cana-5461	145	16	on	on	ADP
cana-5461	145	17	[	[	X
cana-5461	145	18	0,∞	0,∞	NOUN
cana-5461	145	19	)	)	PUNCT
cana-5461	145	20	.	.	PUNCT
cana-5461	146	1	thus	thus	ADV
cana-5461	146	2	xi	xi	X
cana-5461	146	3	’s	’	NOUN
cana-5461	146	4	are	be	AUX
cana-5461	146	5	uniformly	uniformly	ADV
cana-5461	146	6	continuous	continuous	ADJ
cana-5461	146	7	.	.	PUNCT
cana-5461	147	1	applying	apply	VERB
cana-5461	147	2	barbalat	barbalat	NOUN
cana-5461	147	3	’s	’s	PART
cana-5461	147	4	lemma	lemma	PROPN
cana-5461	147	5	we	we	PRON
cana-5461	147	6	get	get	VERB
cana-5461	147	7	|xi	|xi	INTJ
cana-5461	147	8	−	−	PROPN
cana-5461	147	9	x∗i	x∗i	NUM
cana-5461	148	1	|	|	ADV
cana-5461	148	2	−→	−→	ADV
cana-5461	148	3	0	0	NUM
cana-5461	149	1	as	as	SCONJ
cana-5461	149	2	t	t	PROPN
cana-5461	149	3	−→	−→	NOUN
cana-5461	149	4	∞.	∞.	PROPN
cana-5461	149	5	thus	thus	ADV
cana-5461	149	6	xi(t	xi(t	PUNCT
cana-5461	149	7	)	)	PUNCT
cana-5461	150	1	−→	−→	NOUN
cana-5461	150	2	x∗i	x∗i	NUM
cana-5461	150	3	as	as	SCONJ
cana-5461	150	4	t	t	PROPN
cana-5461	150	5	−→	−→	NOUN
cana-5461	150	6	∞.	∞.	PROPN
cana-5461	150	7	hence	hence	ADV
cana-5461	150	8	the	the	DET
cana-5461	150	9	equilibrium	equilibrium	NOUN
cana-5461	150	10	(	(	PUNCT
cana-5461	150	11	x∗i	x∗i	PROPN
cana-5461	150	12	,	,	PUNCT
cana-5461	150	13	y	y	PROPN
cana-5461	150	14	∗	∗	PROPN
cana-5461	150	15	ik	ik	PROPN
cana-5461	150	16	)	)	PUNCT
cana-5461	150	17	is	be	AUX
cana-5461	150	18	globally	globally	ADV
cana-5461	150	19	asymptotically	asymptotically	ADV
cana-5461	150	20	stable	stable	ADJ
cana-5461	150	21	.	.	PUNCT
cana-5461	151	1	7	7	NUM
cana-5461	151	2	vol	vol	NOUN
cana-5461	151	3	32	32	NUM
cana-5461	151	4	no	no	NOUN
cana-5461	151	5	.	.	PUNCT
cana-5461	151	6	10s(2025	10s(2025	NUM
cana-5461	151	7	)	)	PUNCT
cana-5461	151	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	151	9	communications	communication	NOUN
cana-5461	151	10	on	on	ADP
cana-5461	151	11	applied	apply	VERB
cana-5461	151	12	nonlinear	nonlinear	ADJ
cana-5461	151	13	analysis	analysis	NOUN
cana-5461	151	14	issn:1074	issn:1074	NOUN
cana-5461	151	15	-	-	ADJ
cana-5461	151	16	133x	133x	ADJ
cana-5461	151	17	2352	2352	NUM
cana-5461	151	18	remark	remark	NOUN
cana-5461	151	19	2.4	2.4	NUM
cana-5461	151	20	.	.	PUNCT
cana-5461	151	21	theorem	theorem	VERB
cana-5461	151	22	2.3	2.3	NUM
cana-5461	151	23	gives	give	VERB
cana-5461	151	24	sufficient	sufficient	ADJ
cana-5461	151	25	conditions	condition	NOUN
cana-5461	151	26	for	for	ADP
cana-5461	151	27	the	the	DET
cana-5461	151	28	asymptotic	asymptotic	ADJ
cana-5461	151	29	stability	stability	NOUN
cana-5461	151	30	of	of	ADP
cana-5461	151	31	the	the	DET
cana-5461	151	32	system	system	NOUN
cana-5461	151	33	(	(	PUNCT
cana-5461	151	34	2	2	NUM
cana-5461	151	35	)	)	PUNCT
cana-5461	151	36	.	.	PUNCT
cana-5461	152	1	these	these	DET
cana-5461	152	2	conditions	condition	NOUN
cana-5461	152	3	depend	depend	VERB
cana-5461	152	4	on	on	ADP
cana-5461	152	5	the	the	DET
cana-5461	152	6	lyapunov	lyapunov	ADJ
cana-5461	152	7	functions	function	NOUN
cana-5461	152	8	that	that	PRON
cana-5461	152	9	have	have	AUX
cana-5461	152	10	been	be	AUX
cana-5461	152	11	used	use	VERB
cana-5461	152	12	.	.	PUNCT
cana-5461	153	1	so	so	ADV
cana-5461	153	2	,	,	PUNCT
cana-5461	153	3	as	as	SCONJ
cana-5461	153	4	the	the	DET
cana-5461	153	5	lyapunov	lyapunov	NOUN
cana-5461	153	6	function	function	NOUN
cana-5461	153	7	varies	vary	VERB
cana-5461	153	8	,	,	PUNCT
cana-5461	153	9	these	these	DET
cana-5461	153	10	conditions	condition	NOUN
cana-5461	153	11	also	also	ADV
cana-5461	153	12	vary	vary	VERB
cana-5461	153	13	.	.	PUNCT
cana-5461	154	1	in	in	ADP
cana-5461	154	2	the	the	DET
cana-5461	154	3	next	next	ADJ
cana-5461	154	4	section	section	NOUN
cana-5461	154	5	,	,	PUNCT
cana-5461	154	6	we	we	PRON
cana-5461	154	7	derive	derive	VERB
cana-5461	154	8	the	the	DET
cana-5461	154	9	delay	delay	NOUN
cana-5461	154	10	-	-	PUNCT
cana-5461	154	11	dependent	dependent	ADJ
cana-5461	154	12	stability	stability	NOUN
cana-5461	154	13	conditions	condition	NOUN
cana-5461	154	14	.	.	PUNCT
cana-5461	155	1	2.2	2.2	NUM
cana-5461	155	2	delay	delay	NOUN
cana-5461	155	3	dependent	dependent	ADJ
cana-5461	155	4	emotions	emotion	NOUN
cana-5461	155	5	are	be	AUX
cana-5461	155	6	interrelated	interrelate	VERB
cana-5461	155	7	to	to	ADP
cana-5461	155	8	each	each	DET
cana-5461	155	9	other	other	ADJ
cana-5461	155	10	,	,	PUNCT
cana-5461	155	11	for	for	ADP
cana-5461	155	12	instance	instance	NOUN
cana-5461	155	13	,	,	PUNCT
cana-5461	155	14	if	if	SCONJ
cana-5461	155	15	a	a	DET
cana-5461	155	16	person	person	NOUN
cana-5461	155	17	is	be	AUX
cana-5461	155	18	having	have	VERB
cana-5461	155	19	the	the	DET
cana-5461	155	20	guilt	guilt	NOUN
cana-5461	155	21	of	of	ADP
cana-5461	155	22	hurting	hurt	VERB
cana-5461	155	23	his	his	PRON
cana-5461	155	24	friend	friend	NOUN
cana-5461	155	25	,	,	PUNCT
cana-5461	155	26	as	as	ADV
cana-5461	155	27	long	long	ADV
cana-5461	155	28	as	as	SCONJ
cana-5461	155	29	he	he	PRON
cana-5461	155	30	overcomes	overcome	VERB
cana-5461	155	31	it	it	PRON
cana-5461	155	32	by	by	ADP
cana-5461	155	33	expressing	express	VERB
cana-5461	155	34	or	or	CCONJ
cana-5461	155	35	giving	give	VERB
cana-5461	155	36	an	an	DET
cana-5461	155	37	apology	apology	NOUN
cana-5461	155	38	to	to	ADP
cana-5461	155	39	his	his	PRON
cana-5461	155	40	friend	friend	NOUN
cana-5461	155	41	,	,	PUNCT
cana-5461	155	42	he	he	PRON
cana-5461	155	43	will	will	AUX
cana-5461	155	44	not	not	PART
cana-5461	155	45	be	be	AUX
cana-5461	155	46	happy	happy	ADJ
cana-5461	155	47	and	and	CCONJ
cana-5461	155	48	joyful	joyful	ADJ
cana-5461	155	49	(	(	PUNCT
cana-5461	155	50	processing	processing	NOUN
cana-5461	155	51	delays	delay	NOUN
cana-5461	155	52	among	among	ADP
cana-5461	155	53	xi	xi	PROPN
cana-5461	155	54	’s	’s	PART
cana-5461	155	55	)	)	PUNCT
cana-5461	155	56	.	.	PUNCT
cana-5461	156	1	thus	thus	ADV
cana-5461	156	2	,	,	PUNCT
cana-5461	156	3	the	the	DET
cana-5461	156	4	delay	delay	NOUN
cana-5461	156	5	in	in	ADP
cana-5461	156	6	overcoming	overcome	VERB
cana-5461	156	7	the	the	DET
cana-5461	156	8	feeling	feeling	NOUN
cana-5461	156	9	of	of	ADP
cana-5461	156	10	guilt	guilt	NOUN
cana-5461	156	11	will	will	AUX
cana-5461	156	12	disturb	disturb	VERB
cana-5461	156	13	him	he	PRON
cana-5461	156	14	mentally	mentally	ADV
cana-5461	156	15	.	.	PUNCT
cana-5461	157	1	it	it	PRON
cana-5461	157	2	is	be	AUX
cana-5461	157	3	quite	quite	ADV
cana-5461	157	4	natural	natural	ADJ
cana-5461	157	5	for	for	SCONJ
cana-5461	157	6	a	a	DET
cana-5461	157	7	human	human	ADJ
cana-5461	157	8	being	being	NOUN
cana-5461	157	9	to	to	PART
cana-5461	157	10	forget	forget	VERB
cana-5461	157	11	things	thing	NOUN
cana-5461	157	12	,	,	PUNCT
cana-5461	157	13	like	like	ADP
cana-5461	157	14	remembering	remember	VERB
cana-5461	157	15	birthdays	birthday	NOUN
cana-5461	157	16	.	.	PUNCT
cana-5461	158	1	many	many	ADJ
cana-5461	158	2	of	of	ADP
cana-5461	158	3	us	we	PRON
cana-5461	158	4	remember	remember	VERB
cana-5461	158	5	the	the	DET
cana-5461	158	6	month	month	NOUN
cana-5461	158	7	of	of	ADP
cana-5461	158	8	the	the	DET
cana-5461	158	9	birthday	birthday	NOUN
cana-5461	158	10	or	or	CCONJ
cana-5461	158	11	anniversary	anniversary	NOUN
cana-5461	158	12	of	of	ADP
cana-5461	158	13	our	our	PRON
cana-5461	158	14	friends	friend	NOUN
cana-5461	158	15	,	,	PUNCT
cana-5461	158	16	but	but	CCONJ
cana-5461	158	17	do	do	AUX
cana-5461	158	18	n’t	not	PART
cana-5461	158	19	remember	remember	VERB
cana-5461	158	20	the	the	DET
cana-5461	158	21	exact	exact	ADJ
cana-5461	158	22	date	date	NOUN
cana-5461	158	23	(	(	PUNCT
cana-5461	158	24	processing	processing	NOUN
cana-5461	158	25	delays	delay	NOUN
cana-5461	158	26	among	among	ADP
cana-5461	158	27	yik	yik	PROPN
cana-5461	158	28	’s	’s	PART
cana-5461	158	29	)	)	PUNCT
cana-5461	158	30	.	.	PUNCT
cana-5461	159	1	many	many	ADJ
cana-5461	159	2	times	time	NOUN
cana-5461	159	3	,	,	PUNCT
cana-5461	159	4	humans	human	NOUN
cana-5461	159	5	tend	tend	VERB
cana-5461	159	6	to	to	PART
cana-5461	159	7	neglect	neglect	VERB
cana-5461	159	8	certain	certain	ADJ
cana-5461	159	9	things	thing	NOUN
cana-5461	159	10	when	when	SCONJ
cana-5461	159	11	they	they	PRON
cana-5461	159	12	are	be	AUX
cana-5461	159	13	indulging	indulge	VERB
cana-5461	159	14	in	in	ADP
cana-5461	159	15	many	many	ADJ
cana-5461	159	16	activities	activity	NOUN
cana-5461	159	17	,	,	PUNCT
cana-5461	159	18	or	or	CCONJ
cana-5461	159	19	maybe	maybe	ADV
cana-5461	159	20	because	because	SCONJ
cana-5461	159	21	of	of	ADP
cana-5461	159	22	priorities	priority	NOUN
cana-5461	159	23	.	.	PUNCT
cana-5461	160	1	for	for	ADP
cana-5461	160	2	instance	instance	NOUN
cana-5461	160	3	,	,	PUNCT
cana-5461	160	4	a	a	DET
cana-5461	160	5	person	person	NOUN
cana-5461	160	6	may	may	AUX
cana-5461	160	7	know	know	VERB
cana-5461	160	8	that	that	SCONJ
cana-5461	160	9	he	he	PRON
cana-5461	160	10	will	will	AUX
cana-5461	160	11	feel	feel	VERB
cana-5461	160	12	happy	happy	ADJ
cana-5461	160	13	by	by	ADP
cana-5461	160	14	talking	talk	VERB
cana-5461	160	15	to	to	ADP
cana-5461	160	16	his	his	PRON
cana-5461	160	17	friends	friend	NOUN
cana-5461	160	18	or	or	CCONJ
cana-5461	160	19	family	family	NOUN
cana-5461	160	20	,	,	PUNCT
cana-5461	160	21	but	but	CCONJ
cana-5461	160	22	he	he	PRON
cana-5461	160	23	may	may	AUX
cana-5461	160	24	not	not	PART
cana-5461	160	25	do	do	VERB
cana-5461	160	26	it	it	PRON
cana-5461	160	27	because	because	SCONJ
cana-5461	160	28	of	of	ADP
cana-5461	160	29	his	his	PRON
cana-5461	160	30	work	work	NOUN
cana-5461	160	31	schedule	schedule	NOUN
cana-5461	160	32	(	(	PUNCT
cana-5461	160	33	transmission	transmission	NOUN
cana-5461	160	34	delays	delay	NOUN
cana-5461	160	35	)	)	PUNCT
cana-5461	160	36	.	.	PUNCT
cana-5461	161	1	which	which	PRON
cana-5461	161	2	may	may	AUX
cana-5461	161	3	lead	lead	VERB
cana-5461	161	4	him	he	PRON
cana-5461	161	5	to	to	PART
cana-5461	161	6	feel	feel	VERB
cana-5461	161	7	lonely	lonely	ADJ
cana-5461	161	8	and	and	CCONJ
cana-5461	161	9	depressed	depressed	ADJ
cana-5461	161	10	.	.	PUNCT
cana-5461	162	1	thus	thus	ADV
cana-5461	162	2	,	,	PUNCT
cana-5461	162	3	delay	delay	NOUN
cana-5461	162	4	affects	affect	VERB
cana-5461	162	5	the	the	DET
cana-5461	162	6	emotions	emotion	NOUN
cana-5461	162	7	in	in	ADP
cana-5461	162	8	many	many	ADJ
cana-5461	162	9	ways	way	NOUN
cana-5461	162	10	.	.	PUNCT
cana-5461	163	1	in	in	ADP
cana-5461	163	2	this	this	DET
cana-5461	163	3	section	section	NOUN
cana-5461	163	4	,	,	PUNCT
cana-5461	163	5	we	we	PRON
cana-5461	163	6	have	have	AUX
cana-5461	163	7	obtained	obtain	VERB
cana-5461	163	8	conditions	condition	NOUN
cana-5461	163	9	on	on	ADP
cana-5461	163	10	parameters	parameter	NOUN
cana-5461	163	11	for	for	ADP
cana-5461	163	12	global	global	ADJ
cana-5461	163	13	asymptotic	asymptotic	ADJ
cana-5461	163	14	stability	stability	NOUN
cana-5461	163	15	of	of	ADP
cana-5461	163	16	the	the	DET
cana-5461	163	17	system	system	NOUN
cana-5461	163	18	with	with	ADP
cana-5461	163	19	suitable	suitable	ADJ
cana-5461	163	20	restrictions	restriction	NOUN
cana-5461	163	21	on	on	ADP
cana-5461	163	22	delay	delay	NOUN
cana-5461	163	23	parameters	parameter	NOUN
cana-5461	163	24	.	.	PUNCT
cana-5461	164	1	these	these	DET
cana-5461	164	2	types	type	NOUN
cana-5461	164	3	of	of	ADP
cana-5461	164	4	conditions	condition	NOUN
cana-5461	164	5	were	be	AUX
cana-5461	164	6	not	not	PART
cana-5461	164	7	discussed	discuss	VERB
cana-5461	164	8	in	in	ADP
cana-5461	164	9	the	the	DET
cana-5461	164	10	previous	previous	ADJ
cana-5461	164	11	study	study	NOUN
cana-5461	164	12	of	of	ADP
cana-5461	164	13	this	this	DET
cana-5461	164	14	model	model	NOUN
cana-5461	164	15	.	.	PUNCT
cana-5461	165	1	we	we	PRON
cana-5461	165	2	propose	propose	VERB
cana-5461	165	3	the	the	DET
cana-5461	165	4	following	follow	VERB
cana-5461	165	5	change	change	NOUN
cana-5461	165	6	of	of	ADP
cana-5461	165	7	variables	variable	NOUN
cana-5461	165	8	,	,	PUNCT
cana-5461	165	9	for	for	ADP
cana-5461	165	10	simplicity	simplicity	NOUN
cana-5461	165	11	we	we	PRON
cana-5461	165	12	let	let	VERB
cana-5461	165	13	zi(t	zi(t	NOUN
cana-5461	165	14	)	)	PUNCT
cana-5461	166	1	=	=	PRON
cana-5461	166	2	xi	xi	ADP
cana-5461	166	3	−	−	PROPN
cana-5461	166	4	x∗i	x∗i	PROPN
cana-5461	166	5	,	,	PUNCT
cana-5461	166	6	wik	wik	PROPN
cana-5461	166	7	=	=	PROPN
cana-5461	166	8	yik	yik	PROPN
cana-5461	166	9	−	−	PROPN
cana-5461	166	10	y∗ik	y∗ik	PROPN
cana-5461	166	11	,	,	PUNCT
cana-5461	166	12	hik(wik	hik(wik	PROPN
cana-5461	166	13	)	)	PUNCT
cana-5461	167	1	=	=	PRON
cana-5461	167	2	hik(yik)−	hik(yik)−	PROPN
cana-5461	168	1	hik(y	hik(y	X
cana-5461	168	2	∗	∗	NOUN
cana-5461	168	3	ik	ik	X
cana-5461	168	4	)	)	PUNCT
cana-5461	168	5	fi(zi	fi(zi	PROPN
cana-5461	168	6	)	)	PUNCT
cana-5461	169	1	=	=	SYM
cana-5461	169	2	fi(xi)−	fi(xi)−	NOUN
cana-5461	169	3	fi(x	fi(x	NUM
cana-5461	169	4	∗	∗	NOUN
cana-5461	169	5	i	i	PRON
cana-5461	169	6	)	)	PUNCT
cana-5461	169	7	,	,	PUNCT
cana-5461	169	8	and	and	CCONJ
cana-5461	169	9	gik(zi	gik(zi	VERB
cana-5461	169	10	,	,	PUNCT
cana-5461	169	11	wik	wik	PROPN
cana-5461	169	12	)	)	PUNCT
cana-5461	169	13	=	=	SYM
cana-5461	169	14	gik(xi	gik(xi	PROPN
cana-5461	169	15	,	,	PUNCT
cana-5461	169	16	yik)−	yik)−	PROPN
cana-5461	169	17	gik(x	gik(x	PROPN
cana-5461	169	18	∗	∗	VERB
cana-5461	169	19	i	i	PRON
cana-5461	169	20	,	,	PUNCT
cana-5461	169	21	y	y	PROPN
cana-5461	169	22	∗	∗	PROPN
cana-5461	169	23	ik	ik	PROPN
cana-5461	169	24	)	)	PUNCT
cana-5461	169	25	then	then	ADV
cana-5461	169	26	,	,	PUNCT
cana-5461	169	27	using	use	VERB
cana-5461	169	28	(	(	PUNCT
cana-5461	169	29	4	4	NUM
cana-5461	169	30	,	,	PUNCT
cana-5461	169	31	)	)	PUNCT
cana-5461	169	32	system	system	NOUN
cana-5461	169	33	(	(	PUNCT
cana-5461	169	34	2	2	X
cana-5461	169	35	)	)	PUNCT
cana-5461	169	36	can	can	AUX
cana-5461	169	37	be	be	AUX
cana-5461	169	38	written	write	VERB
cana-5461	169	39	as	as	ADP
cana-5461	169	40	z	z	NOUN
cana-5461	169	41	′	′	NUM
cana-5461	170	1	i	i	NOUN
cana-5461	170	2	=	=	PUNCT
cana-5461	170	3	−aiz	−aiz	NOUN
cana-5461	170	4	′	′	NUM
cana-5461	171	1	i	i	PRON
cana-5461	172	1	+	+	CCONJ
cana-5461	172	2	n∑	n∑	ADJ
cana-5461	172	3	j=1	j=1	PROPN
cana-5461	172	4	bijfj(zj(t−	bijfj(zj(t−	PROPN
cana-5461	172	5	τj	τj	PROPN
cana-5461	172	6	)	)	PUNCT
cana-5461	172	7	)	)	PUNCT
cana-5461	173	1	+	+	CCONJ
cana-5461	173	2	ri∑	ri∑	X
cana-5461	173	3	k=1	k=1	PROPN
cana-5461	173	4	ciikgik(zi	ciikgik(zi	PROPN
cana-5461	173	5	,	,	PUNCT
cana-5461	173	6	wik(t−	wik(t−	NOUN
cana-5461	173	7	ϑik	ϑik	ADJ
cana-5461	173	8	)	)	PUNCT
cana-5461	173	9	)	)	PUNCT
cana-5461	174	1	w	w	NOUN
cana-5461	174	2	′	′	NUM
cana-5461	174	3	ik	ik	PROPN
cana-5461	174	4	=	=	SYM
cana-5461	174	5	−cikwik	−cikwik	PROPN
cana-5461	175	1	+	+	NUM
cana-5461	175	2	ri∑	ri∑	PROPN
cana-5461	175	3	l=1	l=1	PROPN
cana-5461	175	4	dilhil(wil(t−	dilhil(wil(t−	PROPN
cana-5461	175	5	ζil	ζil	PROPN
cana-5461	175	6	)	)	PUNCT
cana-5461	175	7	)	)	PUNCT
cana-5461	176	1	(	(	PUNCT
cana-5461	176	2	8)	8)	NUM
cana-5461	176	3	further	further	ADJ
cana-5461	176	4	conditions	condition	NOUN
cana-5461	176	5	(	(	PUNCT
cana-5461	176	6	3	3	X
cana-5461	176	7	)	)	PUNCT
cana-5461	176	8	reduce	reduce	VERB
cana-5461	176	9	to	to	ADP
cana-5461	176	10	|fj(zj(t−	|fj(zj(t−	PROPN
cana-5461	176	11	τj))|	τj))|	PUNCT
cana-5461	176	12	≤	≤	ADJ
cana-5461	176	13	pj	pj	PROPN
cana-5461	176	14	|zj(t−	|zj(t−	PROPN
cana-5461	176	15	τj)|	τj)|	PROPN
cana-5461	176	16	|gik(zi	|gik(zi	PROPN
cana-5461	176	17	,	,	PUNCT
cana-5461	176	18	wik(t−	wik(t−	NOUN
cana-5461	176	19	ϑik))|	ϑik))|	VERB
cana-5461	176	20	≤	≤	NUM
cana-5461	176	21	m1ik	m1ik	PUNCT
cana-5461	176	22	|wik(t−	|wik(t−	CCONJ
cana-5461	176	23	ϑik)|+m2ik	ϑik)|+m2ik	ADV
cana-5461	176	24	|zi|	|zi|	NUM
cana-5461	176	25	|hil(wil(t−	|hil(wil(t−	NOUN
cana-5461	176	26	ζil))|	ζil))|	VERB
cana-5461	176	27	≤	≤	PROPN
cana-5461	176	28	qil	qil	PROPN
cana-5461	177	1	|wil(t−	|wil(t−	ADV
cana-5461	177	2	ζil)|	ζil)|	INTJ
cana-5461	177	3	(	(	PUNCT
cana-5461	177	4	9	9	NUM
cana-5461	177	5	)	)	PUNCT
cana-5461	177	6	theorem	theorem	VERB
cana-5461	177	7	2.5	2.5	NUM
cana-5461	177	8	.	.	PUNCT
cana-5461	178	1	suppose	suppose	VERB
cana-5461	178	2	the	the	DET
cana-5461	178	3	output	output	NOUN
cana-5461	178	4	functions	function	NOUN
cana-5461	178	5	of	of	ADP
cana-5461	178	6	the	the	DET
cana-5461	178	7	system	system	NOUN
cana-5461	178	8	(	(	PUNCT
cana-5461	178	9	2	2	X
cana-5461	178	10	)	)	PUNCT
cana-5461	178	11	satisfy	satisfy	NOUN
cana-5461	178	12	conditions(3	conditions(3	NOUN
cana-5461	178	13	)	)	PUNCT
cana-5461	178	14	and	and	CCONJ
cana-5461	178	15	8	8	NUM
cana-5461	178	16	vol	vol	NOUN
cana-5461	178	17	32	32	NUM
cana-5461	178	18	no	no	NOUN
cana-5461	178	19	.	.	PUNCT
cana-5461	179	1	10s(2025	10s(2025	NUM
cana-5461	179	2	)	)	PUNCT
cana-5461	179	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	179	4	communications	communication	NOUN
cana-5461	179	5	on	on	ADP
cana-5461	179	6	applied	apply	VERB
cana-5461	179	7	nonlinear	nonlinear	ADJ
cana-5461	179	8	analysis	analysis	NOUN
cana-5461	179	9	issn:1074	issn:1074	NOUN
cana-5461	179	10	-	-	NOUN
cana-5461	179	11	133x	133x	NUM
cana-5461	179	12	2353	2353	NUM
cana-5461	179	13	the	the	DET
cana-5461	179	14	parameters	parameter	NOUN
cana-5461	179	15	satisfy	satisfy	VERB
cana-5461	179	16	.	.	PUNCT
cana-5461	180	1	a	a	DET
cana-5461	180	2	=	=	NOUN
cana-5461	180	3	min	min	NOUN
cana-5461	180	4	[	[	PUNCT
cana-5461	180	5	ai	ai	VERB
cana-5461	180	6	−	−	PROPN
cana-5461	180	7	n∑	n∑	NOUN
cana-5461	181	1	j=1	j=1	PROPN
cana-5461	181	2	|bji|pi	|bji|pi	VERB
cana-5461	182	1	−	−	PROPN
cana-5461	183	1	ri∑	ri∑	PROPN
cana-5461	183	2	k=1	k=1	PROPN
cana-5461	183	3	|ciik	|ciik	PROPN
cana-5461	183	4	|m2ik	|m2ik	PROPN
cana-5461	183	5	]	]	PUNCT
cana-5461	183	6	>	>	X
cana-5461	183	7	0	0	PUNCT
cana-5461	183	8	b	b	X
cana-5461	183	9	=	=	SYM
cana-5461	183	10	min	min	PROPN
cana-5461	183	11	[	[	PUNCT
cana-5461	183	12	cik	cik	PROPN
cana-5461	183	13	−	−	PROPN
cana-5461	183	14	|ciik	|ciik	PROPN
cana-5461	183	15	|m1ik	|m1ik	PUNCT
cana-5461	183	16	−	−	ADP
cana-5461	183	17	ri∑	ri∑	PROPN
cana-5461	183	18	k=1	k=1	PROPN
cana-5461	183	19	|dik	|dik	NOUN
cana-5461	183	20	|qik	|qik	PROPN
cana-5461	183	21	]	]	PUNCT
cana-5461	183	22	>	>	X
cana-5461	183	23	0	0	PUNCT
cana-5461	184	1	c	c	NOUN
cana-5461	184	2	=	=	SYM
cana-5461	184	3	min	min	PROPN
cana-5461	185	1	[	[	PUNCT
cana-5461	185	2	n∑	n∑	NOUN
cana-5461	185	3	j=1	j=1	PROPN
cana-5461	185	4	|bji|pi	|bji|pi	PROPN
cana-5461	185	5	(	(	PUNCT
cana-5461	185	6	ai	ai	VERB
cana-5461	185	7	+	+	ADJ
cana-5461	185	8	n∑	n∑	ADJ
cana-5461	185	9	j=1	j=1	NOUN
cana-5461	185	10	|bji|pi	|bji|pi	PROPN
cana-5461	186	1	+	+	CCONJ
cana-5461	186	2	ri∑	ri∑	PROPN
cana-5461	186	3	k=1	k=1	PROPN
cana-5461	186	4	|ciik	|ciik	PROPN
cana-5461	186	5	|m2ik	|m2ik	PROPN
cana-5461	186	6	)	)	PUNCT
cana-5461	186	7	]	]	PUNCT
cana-5461	187	1	d	d	X
cana-5461	187	2	=	=	SYM
cana-5461	187	3	min	min	PROPN
cana-5461	187	4	[	[	PUNCT
cana-5461	187	5	n∑	n∑	NOUN
cana-5461	187	6	j=1	j=1	PROPN
cana-5461	187	7	|bji|pi|ciik	|bji|pi|ciik	X
cana-5461	187	8	|m1ik	|m1ik	PROPN
cana-5461	187	9	]	]	PUNCT
cana-5461	187	10	e	e	X
cana-5461	187	11	=	=	SYM
cana-5461	187	12	min	min	PROPN
cana-5461	188	1	[	[	PUNCT
cana-5461	188	2	|ciik	|ciik	X
cana-5461	188	3	|m1ik	|m1ik	PROPN
cana-5461	188	4	(	(	PUNCT
cana-5461	188	5	cik	cik	PROPN
cana-5461	188	6	+	+	SYM
cana-5461	188	7	ri∑	ri∑	PROPN
cana-5461	188	8	k=1	k=1	PROPN
cana-5461	188	9	|dik	|dik	NOUN
cana-5461	188	10	|qik	|qik	PROPN
cana-5461	188	11	)	)	PUNCT
cana-5461	188	12	]	]	PUNCT
cana-5461	189	1	f	f	X
cana-5461	189	2	=	=	SYM
cana-5461	189	3	min	min	PROPN
cana-5461	189	4	[	[	PUNCT
cana-5461	189	5	ri∑	ri∑	X
cana-5461	189	6	k=1	k=1	PROPN
cana-5461	189	7	|dik	|dik	NOUN
cana-5461	189	8	|qik	|qik	PROPN
cana-5461	189	9	(	(	PUNCT
cana-5461	189	10	cik	cik	PROPN
cana-5461	189	11	+	+	SYM
cana-5461	189	12	ri∑	ri∑	PROPN
cana-5461	189	13	k=1	k=1	PROPN
cana-5461	189	14	|dik	|dik	NOUN
cana-5461	189	15	|qik	|qik	PROPN
cana-5461	189	16	)	)	PUNCT
cana-5461	189	17	]	]	PUNCT
cana-5461	189	18	let	let	VERB
cana-5461	189	19	τ∗	τ∗	X
cana-5461	189	20	=	=	SYM
cana-5461	189	21	max	max	PROPN
cana-5461	189	22	{	{	PUNCT
cana-5461	189	23	τi	τi	PROPN
cana-5461	189	24	,	,	PUNCT
cana-5461	189	25	1	1	NUM
cana-5461	189	26	≤	≤	NUM
cana-5461	189	27	i	i	PRON
cana-5461	189	28	≤	≤	NOUN
cana-5461	189	29	n	n	CCONJ
cana-5461	189	30	}	}	PUNCT
cana-5461	189	31	,	,	PUNCT
cana-5461	189	32	ϑ∗	ϑ∗	NOUN
cana-5461	189	33	=	=	SYM
cana-5461	189	34	max	max	PROPN
cana-5461	189	35	{	{	PUNCT
cana-5461	189	36	ϑik	ϑik	ADJ
cana-5461	189	37	,	,	PUNCT
cana-5461	189	38	1	1	NUM
cana-5461	189	39	≤	≤	NUM
cana-5461	189	40	i	i	PRON
cana-5461	189	41	≤	≤	PROPN
cana-5461	189	42	n	n	CCONJ
cana-5461	189	43	,	,	PUNCT
cana-5461	189	44	1	1	NUM
cana-5461	189	45	≤	≤	NUM
cana-5461	189	46	k	k	X
cana-5461	189	47	≤	≤	PROPN
cana-5461	189	48	ri	ri	X
cana-5461	189	49	}	}	PUNCT
cana-5461	189	50	and	and	CCONJ
cana-5461	189	51	ζ∗	ζ∗	PROPN
cana-5461	189	52	=	=	SYM
cana-5461	189	53	max	max	PROPN
cana-5461	189	54	{	{	PUNCT
cana-5461	189	55	ζik	ζik	NOUN
cana-5461	189	56	,	,	PUNCT
cana-5461	189	57	1	1	NUM
cana-5461	189	58	≤	≤	NUM
cana-5461	189	59	i	i	PRON
cana-5461	189	60	≤	≤	PROPN
cana-5461	189	61	n	n	CCONJ
cana-5461	189	62	,	,	PUNCT
cana-5461	189	63	1	1	NUM
cana-5461	189	64	≤	≤	NUM
cana-5461	189	65	k	k	X
cana-5461	189	66	≤	≤	PROPN
cana-5461	189	67	ri	ri	PROPN
cana-5461	189	68	}	}	PUNCT
cana-5461	189	69	.	.	PUNCT
cana-5461	190	1	then	then	ADV
cana-5461	190	2	the	the	DET
cana-5461	190	3	equilibrium	equilibrium	NOUN
cana-5461	190	4	(	(	PUNCT
cana-5461	190	5	x∗i	x∗i	PROPN
cana-5461	190	6	,	,	PUNCT
cana-5461	190	7	y	y	PROPN
cana-5461	190	8	∗	∗	PROPN
cana-5461	190	9	ik	ik	PROPN
cana-5461	190	10	)	)	PUNCT
cana-5461	190	11	of	of	ADP
cana-5461	190	12	(	(	PUNCT
cana-5461	190	13	2	2	X
cana-5461	190	14	)	)	PUNCT
cana-5461	190	15	is	be	AUX
cana-5461	190	16	globally	globally	ADV
cana-5461	190	17	asymptotically	asymptotically	ADV
cana-5461	190	18	stable	stable	ADJ
cana-5461	190	19	for	for	ADP
cana-5461	190	20	0	0	NUM
cana-5461	190	21	<	<	X
cana-5461	190	22	τ∗	τ∗	X
cana-5461	190	23	<	<	X
cana-5461	190	24	r	r	NOUN
cana-5461	190	25	,	,	PUNCT
cana-5461	190	26	0	0	NUM
cana-5461	190	27	<	<	X
cana-5461	191	1	ϑ∗	ϑ∗	X
cana-5461	191	2	<	<	X
cana-5461	191	3	s	s	NOUN
cana-5461	191	4	and	and	CCONJ
cana-5461	191	5	0	0	NUM
cana-5461	191	6	<	<	X
cana-5461	192	1	ζ∗	ζ∗	PROPN
cana-5461	192	2	<	<	X
cana-5461	192	3	p	p	X
cana-5461	193	1	where	where	SCONJ
cana-5461	193	2	r	r	NOUN
cana-5461	193	3	=	=	SYM
cana-5461	193	4	min	min	X
cana-5461	193	5	{	{	PUNCT
cana-5461	193	6	a	a	DET
cana-5461	193	7	c	c	PROPN
cana-5461	193	8	,	,	PUNCT
cana-5461	193	9	b	b	PROPN
cana-5461	193	10	d	d	NOUN
cana-5461	193	11	}	}	PUNCT
cana-5461	193	12	,	,	PUNCT
cana-5461	193	13	s	s	NOUN
cana-5461	193	14	=	=	SYM
cana-5461	193	15	b	b	PROPN
cana-5461	193	16	e	e	NOUN
cana-5461	193	17	and	and	CCONJ
cana-5461	193	18	p	p	NOUN
cana-5461	193	19	=	=	SYM
cana-5461	193	20	b	b	PROPN
cana-5461	193	21	f	f	PROPN
cana-5461	193	22	.	.	PUNCT
cana-5461	194	1	proof	proof	NOUN
cana-5461	194	2	.	.	PUNCT
cana-5461	195	1	let	let	VERB
cana-5461	195	2	v1	v1	VERB
cana-5461	195	3	=	=	SYM
cana-5461	196	1	∑n	∑n	PROPN
cana-5461	196	2	i=1	i=1	PROPN
cana-5461	196	3	|xi(t)−	|xi(t)−	PROPN
cana-5461	196	4	x∗i	x∗i	NUM
cana-5461	197	1	|	|	ADV
cana-5461	197	2	=	=	SYM
cana-5461	198	1	∑n	∑n	PROPN
cana-5461	198	2	i=1	i=1	PROPN
cana-5461	198	3	|zi(t)|	|zi(t)|	PROPN
cana-5461	198	4	9	9	NUM
cana-5461	198	5	vol	vol	NOUN
cana-5461	198	6	32	32	NUM
cana-5461	198	7	no	no	NOUN
cana-5461	198	8	.	.	PUNCT
cana-5461	199	1	10s(2025	10s(2025	NUM
cana-5461	199	2	)	)	PUNCT
cana-5461	199	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	199	4	communications	communication	NOUN
cana-5461	199	5	on	on	ADP
cana-5461	199	6	applied	apply	VERB
cana-5461	199	7	nonlinear	nonlinear	ADJ
cana-5461	199	8	analysis	analysis	NOUN
cana-5461	199	9	issn:1074	issn:1074	NOUN
cana-5461	199	10	-	-	NOUN
cana-5461	199	11	133x	133x	NUM
cana-5461	199	12	2354	2354	NUM
cana-5461	199	13	the	the	DET
cana-5461	199	14	upper	upper	ADJ
cana-5461	199	15	dini	dini	NOUN
cana-5461	199	16	derivative	derivative	NOUN
cana-5461	199	17	of	of	ADP
cana-5461	199	18	v1	v1	NOUN
cana-5461	199	19	along	along	ADP
cana-5461	199	20	the	the	DET
cana-5461	199	21	solutions	solution	NOUN
cana-5461	199	22	of	of	ADP
cana-5461	199	23	(	(	PUNCT
cana-5461	199	24	7	7	NUM
cana-5461	199	25	)	)	PUNCT
cana-5461	199	26	is	be	AUX
cana-5461	199	27	given	give	VERB
cana-5461	199	28	by	by	ADP
cana-5461	199	29	d+v1(t	d+v1(t	VERB
cana-5461	199	30	)	)	PUNCT
cana-5461	199	31	≤	≤	NOUN
cana-5461	200	1	n∑	n∑	X
cana-5461	200	2	i=1	i=1	X
cana-5461	201	1	[	[	PUNCT
cana-5461	201	2	−	−	PROPN
cana-5461	201	3	ai|zi(t)|+	ai|zi(t)|+	PROPN
cana-5461	201	4	n∑	n∑	PROPN
cana-5461	201	5	j=1	j=1	PROPN
cana-5461	201	6	|bji|pi|zi(t−	|bji|pi|zi(t−	PROPN
cana-5461	201	7	τi)|+	τi)|+	PROPN
cana-5461	201	8	ri∑	ri∑	PROPN
cana-5461	201	9	k=1	k=1	PROPN
cana-5461	201	10	|ciik	|ciik	PROPN
cana-5461	201	11	|	|	ADV
cana-5461	201	12	[	[	PUNCT
cana-5461	201	13	m1ik	m1ik	NOUN
cana-5461	201	14	|wik(t−	|wik(t−	PRON
cana-5461	201	15	ϑik)|+m2ik	ϑik)|+m2ik	ADV
cana-5461	201	16	|zi(t)|	|zi(t)|	PROPN
cana-5461	201	17	]	]	X
cana-5461	201	18	]	]	X
cana-5461	201	19	(	(	PUNCT
cana-5461	201	20	10	10	NUM
cana-5461	201	21	)	)	PUNCT
cana-5461	201	22	zi(t−	zi(t−	PUNCT
cana-5461	201	23	τi	τi	ADP
cana-5461	201	24	)	)	PUNCT
cana-5461	201	25	=	=	SYM
cana-5461	201	26	zi(t)−	zi(t)−	PROPN
cana-5461	201	27	∫	∫	PROPN
cana-5461	201	28	t	t	PROPN
cana-5461	201	29	t−τi	t−τi	NUM
cana-5461	201	30	z	z	NOUN
cana-5461	201	31	′	′	NOUN
cana-5461	201	32	i(s)ds	i(s)ds	PROPN
cana-5461	202	1	=	=	SYM
cana-5461	202	2	zi(t)−	zi(t)−	PROPN
cana-5461	202	3	∫	∫	PROPN
cana-5461	202	4	t	t	PROPN
cana-5461	202	5	t−τi	t−τi	NUM
cana-5461	202	6	[	[	PUNCT
cana-5461	202	7	−	−	NUM
cana-5461	202	8	aizi(s	aizi(s	NOUN
cana-5461	202	9	)	)	PUNCT
cana-5461	203	1	+	+	CCONJ
cana-5461	203	2	n∑	n∑	PART
cana-5461	203	3	j=1	j=1	ADJ
cana-5461	203	4	bijfj(zj(s−	bijfj(zj(s−	PROPN
cana-5461	203	5	τj	τj	ADP
cana-5461	203	6	)	)	PUNCT
cana-5461	203	7	)	)	PUNCT
cana-5461	204	1	+	+	CCONJ
cana-5461	204	2	ri∑	ri∑	X
cana-5461	204	3	k=1	k=1	PROPN
cana-5461	204	4	ciikgik(zi(s	ciikgik(zi(s	PROPN
cana-5461	204	5	)	)	PUNCT
cana-5461	204	6	,	,	PUNCT
cana-5461	204	7	wik(s−	wik(s−	PROPN
cana-5461	204	8	ϑik	ϑik	VERB
cana-5461	204	9	)	)	PUNCT
cana-5461	204	10	)	)	PUNCT
cana-5461	204	11	]	]	PUNCT
cana-5461	205	1	ds	ds	INTJ
cana-5461	205	2	(	(	PUNCT
cana-5461	205	3	11	11	NUM
cana-5461	205	4	)	)	PUNCT
cana-5461	205	5	wik(t−	wik(t−	NOUN
cana-5461	205	6	ϑik	ϑik	ADJ
cana-5461	205	7	)	)	PUNCT
cana-5461	205	8	=	=	SYM
cana-5461	206	1	wik(t)−	wik(t)−	PROPN
cana-5461	206	2	∫	∫	PROPN
cana-5461	206	3	t	t	PROPN
cana-5461	206	4	t−ϑik	t−ϑik	VERB
cana-5461	206	5	w	w	PROPN
cana-5461	206	6	′	′	NUM
cana-5461	206	7	ik	ik	PROPN
cana-5461	206	8	(	(	PUNCT
cana-5461	206	9	s)ds	s)ds	PROPN
cana-5461	206	10	=	=	SYM
cana-5461	206	11	wik(t)−	wik(t)−	PROPN
cana-5461	206	12	∫	∫	PROPN
cana-5461	206	13	t	t	PROPN
cana-5461	206	14	t−ϑik	t−ϑik	VERB
cana-5461	206	15	[	[	PUNCT
cana-5461	206	16	−	−	PROPN
cana-5461	206	17	cikwik(s	cikwik(s	NOUN
cana-5461	206	18	)	)	PUNCT
cana-5461	206	19	+	+	NUM
cana-5461	206	20	ri∑	ri∑	X
cana-5461	206	21	l=1	l=1	PROPN
cana-5461	206	22	dilhil(wil(s−	dilhil(wil(s−	PROPN
cana-5461	206	23	ζil	ζil	PROPN
cana-5461	206	24	)	)	PUNCT
cana-5461	206	25	)	)	PUNCT
cana-5461	206	26	]	]	PUNCT
cana-5461	207	1	ds	ds	INTJ
cana-5461	207	2	(	(	PUNCT
cana-5461	207	3	12	12	NUM
cana-5461	207	4	)	)	PUNCT
cana-5461	207	5	substituting	substituting	NOUN
cana-5461	207	6	(	(	PUNCT
cana-5461	207	7	10	10	NUM
cana-5461	207	8	)	)	PUNCT
cana-5461	207	9	and	and	CCONJ
cana-5461	207	10	(	(	PUNCT
cana-5461	207	11	11	11	NUM
cana-5461	207	12	)	)	PUNCT
cana-5461	207	13	in	in	ADP
cana-5461	207	14	(	(	PUNCT
cana-5461	207	15	9	9	NUM
cana-5461	207	16	)	)	PUNCT
cana-5461	207	17	d+v1(t	d+v1(t	VERB
cana-5461	207	18	)	)	PUNCT
cana-5461	207	19	≤	≤	NOUN
cana-5461	208	1	n∑	n∑	X
cana-5461	208	2	i=1	i=1	X
cana-5461	209	1	[	[	PUNCT
cana-5461	209	2	−	−	PROPN
cana-5461	209	3	ai|zi(t)|+	ai|zi(t)|+	PROPN
cana-5461	209	4	n∑	n∑	PROPN
cana-5461	209	5	j=1	j=1	NOUN
cana-5461	209	6	|bji|pi	|bji|pi	PROPN
cana-5461	210	1	[	[	PUNCT
cana-5461	210	2	|zi(t)|+	|zi(t)|+	PROPN
cana-5461	210	3	∫	∫	PROPN
cana-5461	210	4	t	t	NOUN
cana-5461	210	5	t−τi	t−τi	NUM
cana-5461	210	6	ai|zi(s)|ds+	ai|zi(s)|ds+	PROPN
cana-5461	210	7	n∑	n∑	PUNCT
cana-5461	211	1	j=1	j=1	PROPN
cana-5461	211	2	|bij	|bij	PUNCT
cana-5461	211	3	|	|	ADV
cana-5461	211	4	∫	∫	PROPN
cana-5461	211	5	t	t	PROPN
cana-5461	211	6	t−τi	t−τi	NUM
cana-5461	212	1	|fj(zj(s−	|fj(zj(s−	PROPN
cana-5461	212	2	τj))|ds	τj))|ds	PRON
cana-5461	212	3	+	+	CCONJ
cana-5461	212	4	ri∑	ri∑	X
cana-5461	212	5	k=1	k=1	PROPN
cana-5461	212	6	|ciik	|ciik	PROPN
cana-5461	212	7	|	|	ADV
cana-5461	212	8	∫	∫	PROPN
cana-5461	212	9	t	t	PROPN
cana-5461	212	10	t−τi	t−τi	NUM
cana-5461	212	11	|gik(zi(s	|gik(zi(s	NUM
cana-5461	212	12	)	)	PUNCT
cana-5461	212	13	,	,	PUNCT
cana-5461	212	14	wik(s−	wik(s−	X
cana-5461	212	15	ϑik)|ds	ϑik)|ds	X
cana-5461	212	16	]	]	X
cana-5461	213	1	+	+	CCONJ
cana-5461	213	2	ri∑	ri∑	X
cana-5461	213	3	k=1	k=1	X
cana-5461	213	4	|ciik	|ciik	PROPN
cana-5461	213	5	|m1ik	|m1ik	PROPN
cana-5461	213	6	[	[	PUNCT
cana-5461	213	7	|wik(t)|+	|wik(t)|+	NOUN
cana-5461	213	8	∫	∫	PROPN
cana-5461	213	9	t	t	PROPN
cana-5461	213	10	t−ϑik	t−ϑik	VERB
cana-5461	213	11	cik	cik	PROPN
cana-5461	213	12	|wik(s)|ds+	|wik(s)|ds+	PRON
cana-5461	213	13	ri∑	ri∑	PROPN
cana-5461	213	14	l=1	l=1	PROPN
cana-5461	213	15	|dil	|dil	PUNCT
cana-5461	213	16	|	|	ADV
cana-5461	213	17	∫	∫	PROPN
cana-5461	213	18	t	t	PROPN
cana-5461	213	19	t−ϑik	t−ϑik	VERB
cana-5461	213	20	|hil(wil(s−	|hil(wil(s−	NOUN
cana-5461	213	21	ζil))|ds	ζil))|ds	NOUN
cana-5461	213	22	]	]	PUNCT
cana-5461	214	1	+	+	CCONJ
cana-5461	214	2	ri∑	ri∑	X
cana-5461	214	3	k=1	k=1	PROPN
cana-5461	214	4	|ciik	|ciik	PROPN
cana-5461	214	5	|m2ik	|m2ik	PROPN
cana-5461	214	6	|zi(t)|	|zi(t)|	PROPN
cana-5461	214	7	]	]	PUNCT
cana-5461	214	8	using	use	VERB
cana-5461	214	9	conditions	condition	NOUN
cana-5461	214	10	(	(	PUNCT
cana-5461	214	11	8)	8)	NUM
cana-5461	214	12	,	,	PUNCT
cana-5461	214	13	we	we	PRON
cana-5461	214	14	get	get	AUX
cana-5461	214	15	d+v1(t	d+v1(t	VERB
cana-5461	214	16	)	)	PUNCT
cana-5461	214	17	≤	≤	NOUN
cana-5461	215	1	n∑	n∑	X
cana-5461	215	2	i=1	i=1	X
cana-5461	216	1	[	[	PUNCT
cana-5461	216	2	−	−	PROPN
cana-5461	216	3	ai|zi(t)|+	ai|zi(t)|+	PROPN
cana-5461	216	4	n∑	n∑	PROPN
cana-5461	216	5	j=1	j=1	NOUN
cana-5461	216	6	|bji|pi	|bji|pi	PROPN
cana-5461	217	1	[	[	PUNCT
cana-5461	217	2	|zi(t)|+	|zi(t)|+	PROPN
cana-5461	217	3	∫	∫	PROPN
cana-5461	217	4	t	t	NOUN
cana-5461	217	5	t−τi	t−τi	NUM
cana-5461	217	6	ai|zi(s)|ds+	ai|zi(s)|ds+	PROPN
cana-5461	217	7	n∑	n∑	PUNCT
cana-5461	217	8	j=1	j=1	PROPN
cana-5461	218	1	|bji|	|bji|	ADV
cana-5461	218	2	∫	∫	PROPN
cana-5461	218	3	t	t	PROPN
cana-5461	218	4	t−τi	t−τi	NUM
cana-5461	218	5	pi|(zi(s−	pi|(zi(s−	NOUN
cana-5461	218	6	τi))|ds	τi))|ds	NOUN
cana-5461	218	7	+	+	CCONJ
cana-5461	218	8	ri∑	ri∑	X
cana-5461	218	9	k=1	k=1	PROPN
cana-5461	218	10	|ciik	|ciik	PROPN
cana-5461	218	11	|	|	ADV
cana-5461	218	12	∫	∫	PROPN
cana-5461	218	13	t	t	PROPN
cana-5461	218	14	t−τi	t−τi	NUM
cana-5461	218	15	(	(	PUNCT
cana-5461	218	16	m2ik	m2ik	X
cana-5461	218	17	|zi(s)|+mik	|zi(s)|+mik	X
cana-5461	218	18	|wik(s−	|wik(s−	NOUN
cana-5461	218	19	ϑik)|)ds	ϑik)|)ds	PUNCT
cana-5461	218	20	]	]	PUNCT
cana-5461	218	21	10	10	NUM
cana-5461	218	22	vol	vol	NOUN
cana-5461	218	23	32	32	NUM
cana-5461	218	24	no	no	NOUN
cana-5461	218	25	.	.	PUNCT
cana-5461	219	1	10s(2025	10s(2025	NUM
cana-5461	219	2	)	)	PUNCT
cana-5461	219	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	219	4	communications	communication	NOUN
cana-5461	219	5	on	on	ADP
cana-5461	219	6	applied	apply	VERB
cana-5461	219	7	nonlinear	nonlinear	ADJ
cana-5461	219	8	analysis	analysis	NOUN
cana-5461	219	9	issn:1074	issn:1074	NOUN
cana-5461	219	10	-	-	NOUN
cana-5461	219	11	133x	133x	NUM
cana-5461	219	12	2355	2355	NUM
cana-5461	219	13	+	+	CCONJ
cana-5461	219	14	ri∑	ri∑	X
cana-5461	219	15	k=1	k=1	X
cana-5461	219	16	|ciik	|ciik	PROPN
cana-5461	219	17	|m1ik	|m1ik	PROPN
cana-5461	219	18	[	[	PUNCT
cana-5461	219	19	|wik(t)|+	|wik(t)|+	NOUN
cana-5461	219	20	∫	∫	PROPN
cana-5461	219	21	t	t	PROPN
cana-5461	219	22	t−ϑik	t−ϑik	VERB
cana-5461	219	23	cik	cik	PROPN
cana-5461	219	24	|wik(s)|ds+	|wik(s)|ds+	PRON
cana-5461	219	25	ri∑	ri∑	PROPN
cana-5461	219	26	l=1	l=1	PROPN
cana-5461	219	27	|dil	|dil	PUNCT
cana-5461	219	28	|	|	ADV
cana-5461	219	29	∫	∫	PROPN
cana-5461	219	30	t	t	PROPN
cana-5461	219	31	t−ϑik	t−ϑik	VERB
cana-5461	219	32	qil	qil	PROPN
cana-5461	219	33	|(wil(s−	|(wil(s−	ADJ
cana-5461	219	34	ζil))|ds	ζil))|ds	NOUN
cana-5461	219	35	]	]	PUNCT
cana-5461	220	1	+	+	CCONJ
cana-5461	220	2	ri∑	ri∑	X
cana-5461	220	3	k=1	k=1	PROPN
cana-5461	220	4	|ciik	|ciik	PROPN
cana-5461	220	5	|m2ik	|m2ik	PROPN
cana-5461	220	6	|zi(t)|	|zi(t)|	PROPN
cana-5461	220	7	]	]	X
cana-5461	220	8	(	(	PUNCT
cana-5461	220	9	13	13	NUM
cana-5461	220	10	)	)	PUNCT
cana-5461	220	11	let	let	VERB
cana-5461	220	12	v2(t	v2(t	PRON
cana-5461	220	13	)	)	PUNCT
cana-5461	221	1	=	=	PUNCT
cana-5461	221	2	n∑	n∑	NOUN
cana-5461	221	3	i=1	i=1	X
cana-5461	222	1	[	[	PUNCT
cana-5461	222	2	n∑	n∑	NOUN
cana-5461	222	3	j=1	j=1	PROPN
cana-5461	222	4	|bji|pi	|bji|pi	PROPN
cana-5461	223	1	[	[	PUNCT
cana-5461	223	2	ai	ai	INTJ
cana-5461	223	3	∫	∫	PROPN
cana-5461	223	4	t	t	PROPN
cana-5461	223	5	t−τi	t−τi	NUM
cana-5461	223	6	ds	ds	PRON
cana-5461	223	7	∫	∫	PROPN
cana-5461	223	8	t	t	PROPN
cana-5461	223	9	s	s	PROPN
cana-5461	223	10	zi(u)du+	zi(u)du+	PROPN
cana-5461	223	11	n∑	n∑	PROPN
cana-5461	224	1	j=1	j=1	PROPN
cana-5461	224	2	|bji|pi	|bji|pi	PROPN
cana-5461	224	3	∫	∫	PROPN
cana-5461	224	4	t	t	PROPN
cana-5461	224	5	t−τi	t−τi	NUM
cana-5461	224	6	ds	ds	PRON
cana-5461	224	7	∫	∫	PROPN
cana-5461	224	8	t	t	PROPN
cana-5461	224	9	s	s	PROPN
cana-5461	224	10	|(zi(u−	|(zi(u−	VERB
cana-5461	224	11	τi))|du	τi))|du	NOUN
cana-5461	224	12	+	+	CCONJ
cana-5461	224	13	ri∑	ri∑	X
cana-5461	224	14	k=1	k=1	PROPN
cana-5461	224	15	|ciik	|ciik	PROPN
cana-5461	224	16	|m2ik	|m2ik	PROPN
cana-5461	224	17	∫	∫	PROPN
cana-5461	224	18	t	t	PROPN
cana-5461	224	19	t−τi	t−τi	NUM
cana-5461	224	20	ds	ds	PRON
cana-5461	224	21	∫	∫	PROPN
cana-5461	224	22	t	t	PROPN
cana-5461	224	23	s	s	PROPN
cana-5461	224	24	|(zi(u))|du+	|(zi(u))|du+	PROPN
cana-5461	224	25	ri∑	ri∑	PROPN
cana-5461	224	26	k=1	k=1	PROPN
cana-5461	224	27	|ciik	|ciik	PROPN
cana-5461	224	28	|m1ik	|m1ik	PROPN
cana-5461	224	29	∫	∫	PROPN
cana-5461	224	30	t	t	PROPN
cana-5461	224	31	t−τi	t−τi	NUM
cana-5461	224	32	ds	ds	PRON
cana-5461	224	33	∫	∫	PROPN
cana-5461	224	34	t	t	PROPN
cana-5461	224	35	s	s	PROPN
cana-5461	224	36	|wik(u−	|wik(u−	ADV
cana-5461	224	37	ϑik)|du	ϑik)|du	PROPN
cana-5461	224	38	+	+	CCONJ
cana-5461	224	39	τi	τi	ADJ
cana-5461	224	40	n∑	n∑	NOUN
cana-5461	224	41	j=1	j=1	PROPN
cana-5461	224	42	|bji|pi	|bji|pi	PROPN
cana-5461	224	43	∫	∫	PROPN
cana-5461	225	1	t	t	PROPN
cana-5461	225	2	t−τi	t−τi	NUM
cana-5461	225	3	|(zi(s))|ds+	|(zi(s))|ds+	PROPN
cana-5461	225	4	τi	τi	ADP
cana-5461	225	5	ri∑	ri∑	PROPN
cana-5461	225	6	k=1	k=1	PROPN
cana-5461	225	7	|ciik	|ciik	PROPN
cana-5461	225	8	|m1ik	|m1ik	PROPN
cana-5461	225	9	∫	∫	PROPN
cana-5461	225	10	t	t	PROPN
cana-5461	225	11	t−ϑik	t−ϑik	VERB
cana-5461	225	12	|wik(s)|ds	|wik(s)|ds	ADP
cana-5461	225	13	]	]	PUNCT
cana-5461	226	1	+	+	CCONJ
cana-5461	226	2	ri∑	ri∑	X
cana-5461	226	3	k=1	k=1	X
cana-5461	226	4	|ciik	|ciik	PROPN
cana-5461	226	5	|m1ik	|m1ik	PROPN
cana-5461	226	6	[	[	PUNCT
cana-5461	226	7	cik	cik	PROPN
cana-5461	226	8	∫	∫	PROPN
cana-5461	226	9	t	t	PROPN
cana-5461	226	10	t−ϑik	t−ϑik	VERB
cana-5461	226	11	ds	ds	PRON
cana-5461	226	12	∫	∫	PROPN
cana-5461	226	13	t	t	PROPN
cana-5461	226	14	s	s	PROPN
cana-5461	226	15	|wik(u)|du+	|wik(u)|du+	NOUN
cana-5461	226	16	ri∑	ri∑	PROPN
cana-5461	226	17	l=1	l=1	PROPN
cana-5461	226	18	|dil	|dil	PROPN
cana-5461	226	19	|qil	|qil	PROPN
cana-5461	226	20	∫	∫	PROPN
cana-5461	226	21	t	t	PROPN
cana-5461	226	22	t−ϑik	t−ϑik	VERB
cana-5461	226	23	ds	ds	PRON
cana-5461	226	24	∫	∫	PROPN
cana-5461	226	25	t	t	PROPN
cana-5461	226	26	s	s	PROPN
cana-5461	226	27	|(wil(u−	|(wil(u−	PRON
cana-5461	226	28	ζil))|du	ζil))|du	NOUN
cana-5461	226	29	+	+	CCONJ
cana-5461	226	30	ϑik	ϑik	ADJ
cana-5461	226	31	ri∑	ri∑	PROPN
cana-5461	227	1	l=1	l=1	PROPN
cana-5461	227	2	|dil	|dil	PROPN
cana-5461	227	3	|qil	|qil	PROPN
cana-5461	227	4	∫	∫	PROPN
cana-5461	227	5	t	t	PROPN
cana-5461	227	6	t−ζil	t−ζil	NOUN
cana-5461	227	7	|wil(s)|ds	|wil(s)|ds	PUNCT
cana-5461	228	1	]	]	X
cana-5461	228	2	]	]	X
cana-5461	228	3	d+v2(t	d+v2(t	PROPN
cana-5461	228	4	)	)	PUNCT
cana-5461	228	5	≤	≤	NOUN
cana-5461	229	1	n∑	n∑	X
cana-5461	229	2	i=1	i=1	X
cana-5461	230	1	[	[	PUNCT
cana-5461	230	2	n∑	n∑	NOUN
cana-5461	230	3	j=1	j=1	PROPN
cana-5461	230	4	|bji|pi	|bji|pi	PROPN
cana-5461	231	1	[	[	PUNCT
cana-5461	231	2	τi	τi	X
cana-5461	231	3	(	(	PUNCT
cana-5461	231	4	ai|zi(t)|+	ai|zi(t)|+	PROPN
cana-5461	231	5	n∑	n∑	NOUN
cana-5461	231	6	j=1	j=1	PROPN
cana-5461	231	7	|bji|pi|(zi(t))|+	|bji|pi|(zi(t))|+	ADP
cana-5461	231	8	ri∑	ri∑	PROPN
cana-5461	231	9	k=1	k=1	PROPN
cana-5461	231	10	|ciik	|ciik	VERB
cana-5461	231	11	|(m2ik	|(m2ik	PRON
cana-5461	231	12	|zi(t)|+m1ik	|zi(t)|+m1ik	PROPN
cana-5461	231	13	|wik(t)|	|wik(t)|	NUM
cana-5461	231	14	)	)	PUNCT
cana-5461	231	15	)	)	PUNCT
cana-5461	232	1	−	−	PROPN
cana-5461	233	1	ai	ai	INTJ
cana-5461	233	2	∫	∫	PROPN
cana-5461	233	3	t	t	PROPN
cana-5461	233	4	t−τi	t−τi	NUM
cana-5461	233	5	|zi(s)|ds−	|zi(s)|ds−	PUNCT
cana-5461	234	1	n∑	n∑	NOUN
cana-5461	234	2	j=1	j=1	PROPN
cana-5461	235	1	|bji|	|bji|	ADV
cana-5461	235	2	∫	∫	PROPN
cana-5461	235	3	t	t	PROPN
cana-5461	235	4	t−τi	t−τi	NUM
cana-5461	235	5	pi|(zi(s−	pi|(zi(s−	NOUN
cana-5461	235	6	τi))|ds−	τi))|ds−	NOUN
cana-5461	235	7	ri∑	ri∑	X
cana-5461	235	8	k=1	k=1	PROPN
cana-5461	235	9	|ciik	|ciik	PROPN
cana-5461	235	10	|	|	ADV
cana-5461	235	11	∫	∫	PROPN
cana-5461	235	12	t	t	PROPN
cana-5461	235	13	t−τi	t−τi	NUM
cana-5461	235	14	m2ik	m2ik	X
cana-5461	235	15	|zi(s)|ds	|zi(s)|ds	PROPN
cana-5461	235	16	−	−	PROPN
cana-5461	235	17	ri∑	ri∑	PROPN
cana-5461	235	18	k=1	k=1	PROPN
cana-5461	235	19	|ciik	|ciik	PROPN
cana-5461	236	1	|	|	ADV
cana-5461	236	2	∫	∫	PROPN
cana-5461	236	3	t	t	PROPN
cana-5461	236	4	t−τi	t−τi	NUM
cana-5461	236	5	m1ik	m1ik	NOUN
cana-5461	236	6	|wik(s−	|wik(s−	PROPN
cana-5461	236	7	ϑik)|ds	ϑik)|ds	X
cana-5461	236	8	]	]	X
cana-5461	237	1	+	+	CCONJ
cana-5461	237	2	ri∑	ri∑	X
cana-5461	237	3	k=1	k=1	X
cana-5461	237	4	|ciik	|ciik	PROPN
cana-5461	237	5	|m1ik	|m1ik	PROPN
cana-5461	237	6	[	[	PUNCT
cana-5461	237	7	ϑik	ϑik	X
cana-5461	237	8	(	(	PUNCT
cana-5461	237	9	cikwik(t	cikwik(t	NOUN
cana-5461	237	10	)	)	PUNCT
cana-5461	237	11	+	+	NUM
cana-5461	237	12	ri∑	ri∑	PROPN
cana-5461	237	13	l=1	l=1	PROPN
cana-5461	237	14	|dil	|dil	X
cana-5461	237	15	|qilwil(t	|qilwil(t	NOUN
cana-5461	237	16	)	)	PUNCT
cana-5461	237	17	)	)	PUNCT
cana-5461	238	1	−	−	PROPN
cana-5461	238	2	cik	cik	PROPN
cana-5461	238	3	∫	∫	PROPN
cana-5461	238	4	t	t	PROPN
cana-5461	238	5	t−ϑik	t−ϑik	VERB
cana-5461	238	6	|wik(s)|ds−	|wik(s)|ds−	PROPN
cana-5461	238	7	ri∑	ri∑	PROPN
cana-5461	238	8	l=1	l=1	PROPN
cana-5461	238	9	|dil	|dil	PROPN
cana-5461	238	10	|qil	|qil	PROPN
cana-5461	238	11	∫	∫	PROPN
cana-5461	238	12	t	t	PROPN
cana-5461	238	13	t−ϑik	t−ϑik	VERB
cana-5461	238	14	|(wil(s−	|(wil(s−	ADJ
cana-5461	238	15	ζil))|ds	ζil))|ds	NOUN
cana-5461	238	16	]	]	PUNCT
cana-5461	238	17	(	(	PUNCT
cana-5461	238	18	14	14	NUM
cana-5461	238	19	)	)	PUNCT
cana-5461	238	20	let	let	VERB
cana-5461	238	21	v3(t	v3(t	X
cana-5461	238	22	)	)	PUNCT
cana-5461	238	23	=	=	SYM
cana-5461	239	1	∑n	∑n	PROPN
cana-5461	239	2	i=1	i=1	PROPN
cana-5461	239	3	∑ri	∑ri	PUNCT
cana-5461	240	1	k=1	k=1	X
cana-5461	240	2	|wik(t)|	|wik(t)|	PROPN
cana-5461	240	3	.	.	PUNCT
cana-5461	241	1	then	then	ADV
cana-5461	241	2	the	the	DET
cana-5461	241	3	dini	dini	NOUN
cana-5461	241	4	derivative	derivative	NOUN
cana-5461	241	5	along	along	ADP
cana-5461	241	6	the	the	DET
cana-5461	241	7	solutions	solution	NOUN
cana-5461	241	8	of	of	ADP
cana-5461	241	9	(	(	PUNCT
cana-5461	241	10	7	7	NUM
cana-5461	241	11	)	)	PUNCT
cana-5461	241	12	is	be	AUX
cana-5461	241	13	given	give	VERB
cana-5461	241	14	by	by	ADP
cana-5461	241	15	d+v3(t	d+v3(t	NOUN
cana-5461	241	16	)	)	PUNCT
cana-5461	241	17	≤	≤	NOUN
cana-5461	241	18	n∑	n∑	PROPN
cana-5461	242	1	i=1	i=1	PROPN
cana-5461	243	1	ri∑	ri∑	PROPN
cana-5461	243	2	k=1	k=1	X
cana-5461	244	1	[	[	PUNCT
cana-5461	244	2	−	−	PROPN
cana-5461	244	3	cik	cik	PROPN
cana-5461	244	4	|wik(t)|+	|wik(t)|+	PROPN
cana-5461	244	5	ri∑	ri∑	PROPN
cana-5461	244	6	l=1	l=1	PROPN
cana-5461	244	7	|dil	|dil	PROPN
cana-5461	244	8	|qil	|qil	PROPN
cana-5461	244	9	|wil(t−	|wil(t−	ADV
cana-5461	244	10	ζil)|	ζil)|	ADV
cana-5461	244	11	]	]	X
cana-5461	244	12	(	(	PUNCT
cana-5461	244	13	15	15	NUM
cana-5461	244	14	)	)	PUNCT
cana-5461	244	15	11	11	NUM
cana-5461	244	16	vol	vol	NOUN
cana-5461	244	17	32	32	NUM
cana-5461	244	18	no	no	NOUN
cana-5461	244	19	.	.	PUNCT
cana-5461	245	1	10s(2025	10s(2025	NUM
cana-5461	245	2	)	)	PUNCT
cana-5461	245	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	245	4	communications	communication	NOUN
cana-5461	245	5	on	on	ADP
cana-5461	245	6	applied	apply	VERB
cana-5461	245	7	nonlinear	nonlinear	ADJ
cana-5461	245	8	analysis	analysis	NOUN
cana-5461	245	9	issn:1074	issn:1074	NOUN
cana-5461	245	10	-	-	NOUN
cana-5461	245	11	133x	133x	ADJ
cana-5461	245	12	2356	2356	NUM
cana-5461	245	13	wil(t−	wil(t−	DET
cana-5461	245	14	ζil	ζil	PROPN
cana-5461	245	15	)	)	PUNCT
cana-5461	245	16	=	=	SYM
cana-5461	246	1	wil(t)−	wil(t)−	PROPN
cana-5461	246	2	∫	∫	PROPN
cana-5461	246	3	t	t	PROPN
cana-5461	246	4	t−ζil	t−ζil	NOUN
cana-5461	246	5	w	w	ADP
cana-5461	246	6	′	′	NUM
cana-5461	246	7	il	il	PROPN
cana-5461	247	1	(	(	PUNCT
cana-5461	247	2	s)ds	s)ds	PROPN
cana-5461	247	3	=	=	SYM
cana-5461	247	4	wil(t)−	wil(t)−	PROPN
cana-5461	247	5	∫	∫	PROPN
cana-5461	247	6	t	t	PROPN
cana-5461	247	7	t−ζil	t−ζil	NOUN
cana-5461	247	8	[	[	PUNCT
cana-5461	247	9	−	−	NOUN
cana-5461	247	10	cilwil(s	cilwil(s	PROPN
cana-5461	247	11	)	)	PUNCT
cana-5461	247	12	+	+	NUM
cana-5461	247	13	ri∑	ri∑	X
cana-5461	247	14	l=1	l=1	PROPN
cana-5461	247	15	dilhil(wil(s−	dilhil(wil(s−	PROPN
cana-5461	247	16	ζil	ζil	PROPN
cana-5461	247	17	)	)	PUNCT
cana-5461	247	18	)	)	PUNCT
cana-5461	247	19	]	]	PUNCT
cana-5461	248	1	ds	ds	INTJ
cana-5461	248	2	(	(	PUNCT
cana-5461	248	3	16	16	NUM
cana-5461	248	4	)	)	PUNCT
cana-5461	248	5	substituting	substitute	VERB
cana-5461	248	6	(	(	PUNCT
cana-5461	248	7	15	15	NUM
cana-5461	248	8	)	)	PUNCT
cana-5461	248	9	in	in	ADP
cana-5461	248	10	(	(	PUNCT
cana-5461	248	11	14	14	NUM
cana-5461	248	12	)	)	PUNCT
cana-5461	248	13	d+v3(t	d+v3(t	NOUN
cana-5461	248	14	)	)	PUNCT
cana-5461	248	15	≤	≤	NOUN
cana-5461	248	16	n∑	n∑	PROPN
cana-5461	248	17	i=1	i=1	PROPN
cana-5461	249	1	ri∑	ri∑	PROPN
cana-5461	249	2	k=1	k=1	X
cana-5461	250	1	[	[	PUNCT
cana-5461	250	2	−	−	PROPN
cana-5461	250	3	cik	cik	PROPN
cana-5461	250	4	|wik(t)|+	|wik(t)|+	PROPN
cana-5461	250	5	ri∑	ri∑	PROPN
cana-5461	250	6	l=1	l=1	PROPN
cana-5461	250	7	|dil	|dil	PROPN
cana-5461	250	8	|qil	|qil	PROPN
cana-5461	250	9	(	(	PUNCT
cana-5461	250	10	|wil(t)|+	|wil(t)|+	PROPN
cana-5461	250	11	∫	∫	PROPN
cana-5461	250	12	t	t	PROPN
cana-5461	250	13	t−ζil	t−ζil	NOUN
cana-5461	250	14	(	(	PUNCT
cana-5461	250	15	cil	cil	PROPN
cana-5461	250	16	|wil(s)|+	|wil(s)|+	PROPN
cana-5461	250	17	ri∑	ri∑	PROPN
cana-5461	250	18	l=1	l=1	PROPN
cana-5461	250	19	|dil	|dil	PROPN
cana-5461	250	20	|qil	|qil	PROPN
cana-5461	250	21	|wil(s−	|wil(s−	ADJ
cana-5461	250	22	ζil)|	ζil)|	ADV
cana-5461	250	23	)	)	PUNCT
cana-5461	250	24	ds	ds	ADJ
cana-5461	250	25	)	)	PUNCT
cana-5461	250	26	|	|	ADV
cana-5461	250	27	]	]	X
cana-5461	250	28	(	(	PUNCT
cana-5461	250	29	17	17	NUM
cana-5461	250	30	)	)	PUNCT
cana-5461	250	31	v4(t	v4(t	NUM
cana-5461	250	32	)	)	PUNCT
cana-5461	250	33	=	=	SYM
cana-5461	251	1	n∑	n∑	PROPN
cana-5461	251	2	i=1	i=1	PROPN
cana-5461	252	1	ri∑	ri∑	X
cana-5461	252	2	k=1	k=1	X
cana-5461	252	3	[	[	PUNCT
cana-5461	252	4	ri∑	ri∑	PROPN
cana-5461	252	5	l=1	l=1	PROPN
cana-5461	252	6	|dil	|dil	PROPN
cana-5461	252	7	|qil	|qil	PROPN
cana-5461	252	8	(	(	PUNCT
cana-5461	252	9	∫	∫	PROPN
cana-5461	252	10	t	t	PROPN
cana-5461	252	11	t−ζil	t−ζil	NOUN
cana-5461	253	1	ds	ds	X
cana-5461	253	2	∫	∫	PROPN
cana-5461	253	3	t	t	PROPN
cana-5461	253	4	s	s	PROPN
cana-5461	253	5	cil	cil	ADJ
cana-5461	253	6	|wil(u)|du+	|wil(u)|du+	NOUN
cana-5461	253	7	ri∑	ri∑	PROPN
cana-5461	253	8	l=1	l=1	PROPN
cana-5461	253	9	|dil	|dil	PROPN
cana-5461	253	10	|qil	|qil	PROPN
cana-5461	253	11	∫	∫	PROPN
cana-5461	253	12	t	t	PROPN
cana-5461	253	13	t−ζil	t−ζil	NOUN
cana-5461	253	14	ds	ds	X
cana-5461	253	15	∫	∫	PROPN
cana-5461	253	16	t	t	PROPN
cana-5461	253	17	s	s	PROPN
cana-5461	253	18	|(wil(u−	|(wil(u−	PRON
cana-5461	253	19	ζil))|du	ζil))|du	NOUN
cana-5461	253	20	+	+	CCONJ
cana-5461	253	21	ζil	ζil	PROPN
cana-5461	253	22	ri∑	ri∑	PROPN
cana-5461	253	23	l=1	l=1	PROPN
cana-5461	253	24	|dil	|dil	PROPN
cana-5461	253	25	|qil	|qil	PROPN
cana-5461	253	26	∫	∫	PROPN
cana-5461	253	27	t	t	PROPN
cana-5461	253	28	t−ζil	t−ζil	NOUN
cana-5461	253	29	|wil(s)|ds	|wil(s)|ds	PUNCT
cana-5461	253	30	)	)	PUNCT
cana-5461	253	31	]	]	PUNCT
cana-5461	253	32	d+v4(t	d+v4(t	X
cana-5461	253	33	)	)	PUNCT
cana-5461	253	34	≤	≤	NOUN
cana-5461	254	1	n∑	n∑	PROPN
cana-5461	254	2	i=1	i=1	PROPN
cana-5461	255	1	ri∑	ri∑	PROPN
cana-5461	255	2	k=1	k=1	X
cana-5461	255	3	[	[	PUNCT
cana-5461	255	4	ri∑	ri∑	PROPN
cana-5461	255	5	l=1	l=1	PROPN
cana-5461	255	6	|dil	|dil	PROPN
cana-5461	255	7	|qil	|qil	PROPN
cana-5461	255	8	(	(	PUNCT
cana-5461	255	9	ζil	ζil	PROPN
cana-5461	255	10	(	(	PUNCT
cana-5461	255	11	cil	cil	PROPN
cana-5461	255	12	|wil(t)|+	|wil(t)|+	PROPN
cana-5461	255	13	ri∑	ri∑	PROPN
cana-5461	255	14	l=1	l=1	PROPN
cana-5461	255	15	|dil	|dil	PROPN
cana-5461	255	16	|qil	|qil	PROPN
cana-5461	255	17	|wil(t)|	|wil(t)|	PROPN
cana-5461	255	18	)	)	PUNCT
cana-5461	256	1	−	−	NUM
cana-5461	256	2	∫	∫	PROPN
cana-5461	256	3	t	t	PROPN
cana-5461	256	4	t−ζil	t−ζil	NOUN
cana-5461	256	5	cil	cil	PROPN
cana-5461	256	6	|wil(s)|ds	|wil(s)|ds	PUNCT
cana-5461	257	1	−	−	PRON
cana-5461	257	2	ri∑	ri∑	PROPN
cana-5461	257	3	l=1	l=1	PROPN
cana-5461	257	4	|dil	|dil	PROPN
cana-5461	257	5	|qil	|qil	PROPN
cana-5461	257	6	∫	∫	PROPN
cana-5461	257	7	t	t	PROPN
cana-5461	257	8	t−ζil	t−ζil	NOUN
cana-5461	257	9	|(wil(s−	|(wil(s−	ADJ
cana-5461	257	10	ζil))|ds	ζil))|ds	NOUN
cana-5461	257	11	)	)	PUNCT
cana-5461	257	12	]	]	PUNCT
cana-5461	257	13	(	(	PUNCT
cana-5461	257	14	18	18	NUM
cana-5461	257	15	)	)	PUNCT
cana-5461	257	16	let	let	VERB
cana-5461	257	17	v	v	NOUN
cana-5461	257	18	(	(	PUNCT
cana-5461	257	19	t	t	PROPN
cana-5461	257	20	)	)	PUNCT
cana-5461	257	21	=	=	SYM
cana-5461	258	1	v1(t	v1(t	NUM
cana-5461	258	2	)	)	PUNCT
cana-5461	259	1	+	+	PUNCT
cana-5461	260	1	v2(t	v2(t	X
cana-5461	260	2	)	)	PUNCT
cana-5461	260	3	+	+	X
cana-5461	260	4	v3(t	v3(t	X
cana-5461	260	5	)	)	PUNCT
cana-5461	260	6	+	+	X
cana-5461	260	7	v4(t	v4(t	X
cana-5461	260	8	)	)	PUNCT
cana-5461	260	9	using	use	VERB
cana-5461	260	10	(	(	PUNCT
cana-5461	260	11	12),(13),(16	12),(13),(16	NOUN
cana-5461	260	12	)	)	PUNCT
cana-5461	260	13	and	and	CCONJ
cana-5461	260	14	(	(	PUNCT
cana-5461	260	15	17	17	NUM
cana-5461	260	16	)	)	PUNCT
cana-5461	260	17	we	we	PRON
cana-5461	260	18	get	get	VERB
cana-5461	260	19	d+v	d+v	PROPN
cana-5461	260	20	(	(	PUNCT
cana-5461	260	21	t	t	NOUN
cana-5461	260	22	)	)	PUNCT
cana-5461	260	23	≤	≤	NOUN
cana-5461	261	1	n∑	n∑	X
cana-5461	261	2	i=1	i=1	X
cana-5461	262	1	[	[	PUNCT
cana-5461	262	2	−	−	PROPN
cana-5461	262	3	ai|zi(t)|+	ai|zi(t)|+	PROPN
cana-5461	262	4	n∑	n∑	INTJ
cana-5461	262	5	j=1	j=1	PROPN
cana-5461	263	1	|bji|pi|zi(t)|+	|bji|pi|zi(t)|+	PROPN
cana-5461	263	2	ri∑	ri∑	PROPN
cana-5461	263	3	k=1	k=1	PROPN
cana-5461	263	4	|ciik	|ciik	PROPN
cana-5461	263	5	|m1ik	|m1ik	PROPN
cana-5461	263	6	|wik(t)|+	|wik(t)|+	PROPN
cana-5461	263	7	ri∑	ri∑	PROPN
cana-5461	263	8	k=1	k=1	PROPN
cana-5461	263	9	|ciik	|ciik	PROPN
cana-5461	263	10	|m2ik	|m2ik	PROPN
cana-5461	263	11	|zi(t)|	|zi(t)|	PROPN
cana-5461	263	12	]	]	PUNCT
cana-5461	264	1	+	+	CCONJ
cana-5461	265	1	n∑	n∑	ADJ
cana-5461	265	2	i=1	i=1	X
cana-5461	266	1	[	[	PUNCT
cana-5461	266	2	n∑	n∑	NOUN
cana-5461	266	3	j=1	j=1	PROPN
cana-5461	266	4	|bji|piτi	|bji|piτi	PROPN
cana-5461	266	5	(	(	PUNCT
cana-5461	266	6	ai|zi(t)|+	ai|zi(t)|+	PROPN
cana-5461	266	7	n∑	n∑	NOUN
cana-5461	266	8	j=1	j=1	PROPN
cana-5461	266	9	|bij	|bij	VERB
cana-5461	266	10	|pj	|pj	ADP
cana-5461	266	11	|(zj(t))|+	|(zj(t))|+	PROPN
cana-5461	266	12	ri∑	ri∑	PROPN
cana-5461	266	13	k=1	k=1	PROPN
cana-5461	266	14	|ciik	|ciik	VERB
cana-5461	266	15	|(m2ik	|(m2ik	PRON
cana-5461	266	16	|zi(t)|+m1ik	|zi(t)|+m1ik	PROPN
cana-5461	266	17	|wik(t)|	|wik(t)|	NUM
cana-5461	266	18	)	)	PUNCT
cana-5461	266	19	)	)	PUNCT
cana-5461	267	1	+	+	CCONJ
cana-5461	267	2	ri∑	ri∑	X
cana-5461	267	3	k=1	k=1	PROPN
cana-5461	267	4	|ciik	|ciik	PROPN
cana-5461	267	5	|m1ikϑik	|m1ikϑik	VERB
cana-5461	267	6	(	(	PUNCT
cana-5461	267	7	cikwik(t	cikwik(t	PROPN
cana-5461	267	8	)	)	PUNCT
cana-5461	267	9	+	+	NUM
cana-5461	267	10	ri∑	ri∑	PROPN
cana-5461	267	11	l=1	l=1	PROPN
cana-5461	267	12	|dil	|dil	X
cana-5461	267	13	|qilwil(t	|qilwil(t	NOUN
cana-5461	267	14	)	)	PUNCT
cana-5461	267	15	)	)	PUNCT
cana-5461	267	16	]	]	PUNCT
cana-5461	268	1	+	+	CCONJ
cana-5461	268	2	n∑	n∑	PROPN
cana-5461	268	3	i=1	i=1	X
cana-5461	268	4	ri∑	ri∑	X
cana-5461	268	5	k=1	k=1	X
cana-5461	269	1	[	[	PUNCT
cana-5461	269	2	−	−	X
cana-5461	269	3	cik	cik	PROPN
cana-5461	269	4	|wik(t)|	|wik(t)|	PROPN
cana-5461	269	5	+	+	SYM
cana-5461	269	6	ri∑	ri∑	PROPN
cana-5461	269	7	l=1	l=1	PROPN
cana-5461	269	8	|dil	|dil	PROPN
cana-5461	269	9	|qil	|qil	PROPN
cana-5461	269	10	|wil(t)|	|wil(t)|	PROPN
cana-5461	269	11	]	]	PUNCT
cana-5461	270	1	+	+	CCONJ
cana-5461	270	2	n∑	n∑	PROPN
cana-5461	270	3	i=1	i=1	X
cana-5461	270	4	ri∑	ri∑	X
cana-5461	270	5	k=1	k=1	X
cana-5461	270	6	[	[	PUNCT
cana-5461	270	7	ri∑	ri∑	PROPN
cana-5461	270	8	l=1	l=1	PROPN
cana-5461	270	9	|dil	|dil	NOUN
cana-5461	270	10	|qilζil	|qilζil	NOUN
cana-5461	270	11	(	(	PUNCT
cana-5461	270	12	cilwil(t	cilwil(t	PROPN
cana-5461	270	13	)	)	PUNCT
cana-5461	270	14	+	+	NUM
cana-5461	270	15	ri∑	ri∑	X
cana-5461	270	16	l=1	l=1	PROPN
cana-5461	270	17	|dil	|dil	PROPN
cana-5461	270	18	|qil	|qil	PROPN
cana-5461	270	19	|wil(t)|	|wil(t)|	PROPN
cana-5461	270	20	)	)	PUNCT
cana-5461	270	21	]	]	PUNCT
cana-5461	270	22	12	12	NUM
cana-5461	270	23	vol	vol	NOUN
cana-5461	270	24	32	32	NUM
cana-5461	270	25	no	no	NOUN
cana-5461	270	26	.	.	PUNCT
cana-5461	271	1	10s(2025	10s(2025	NUM
cana-5461	271	2	)	)	PUNCT
cana-5461	271	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	271	4	communications	communication	NOUN
cana-5461	271	5	on	on	ADP
cana-5461	271	6	applied	apply	VERB
cana-5461	271	7	nonlinear	nonlinear	ADJ
cana-5461	271	8	analysis	analysis	NOUN
cana-5461	271	9	issn:1074	issn:1074	NOUN
cana-5461	271	10	-	-	NOUN
cana-5461	271	11	133x	133x	NUM
cana-5461	271	12	2357	2357	NUM
cana-5461	271	13	d+v	d+v	PROPN
cana-5461	271	14	(	(	PUNCT
cana-5461	271	15	t	t	NOUN
cana-5461	271	16	)	)	PUNCT
cana-5461	271	17	≤	≤	NOUN
cana-5461	271	18	−	−	ADP
cana-5461	272	1	n∑	n∑	NOUN
cana-5461	272	2	i=1	i=1	X
cana-5461	273	1	[	[	X
cana-5461	273	2	(	(	PUNCT
cana-5461	273	3	(	(	PUNCT
cana-5461	273	4	ai	ai	VERB
cana-5461	273	5	−	−	PROPN
cana-5461	273	6	n∑	n∑	NOUN
cana-5461	273	7	j=1	j=1	PROPN
cana-5461	273	8	|bji|pi	|bji|pi	VERB
cana-5461	273	9	−	−	PROPN
cana-5461	274	1	ri∑	ri∑	PROPN
cana-5461	274	2	k=1	k=1	PROPN
cana-5461	274	3	|ciik	|ciik	PROPN
cana-5461	274	4	|m2ik	|m2ik	PROPN
cana-5461	274	5	)	)	PUNCT
cana-5461	274	6	−	−	ADP
cana-5461	275	1	τi	τi	ADP
cana-5461	275	2	n∑	n∑	X
cana-5461	275	3	j=1	j=1	PROPN
cana-5461	275	4	|bji|pi	|bji|pi	PROPN
cana-5461	275	5	(	(	PUNCT
cana-5461	275	6	ai	ai	VERB
cana-5461	275	7	+	+	ADJ
cana-5461	275	8	n∑	n∑	X
cana-5461	275	9	j=1	j=1	NOUN
cana-5461	275	10	|bij	|bij	AUX
cana-5461	275	11	|pj	|pj	X
cana-5461	275	12	+	+	CCONJ
cana-5461	275	13	ri∑	ri∑	X
cana-5461	275	14	k=1	k=1	PROPN
cana-5461	275	15	|ciik	|ciik	PROPN
cana-5461	275	16	|m2ik	|m2ik	PROPN
cana-5461	275	17	)	)	PUNCT
cana-5461	275	18	)	)	PUNCT
cana-5461	276	1	|zi(t)|	|zi(t)|	PROPN
cana-5461	276	2	+	+	CCONJ
cana-5461	276	3	ri∑	ri∑	X
cana-5461	276	4	k=1	k=1	X
cana-5461	276	5	(	(	PUNCT
cana-5461	276	6	(	(	PUNCT
cana-5461	276	7	cik	cik	PROPN
cana-5461	276	8	−	−	PROPN
cana-5461	276	9	|ciik	|ciik	PROPN
cana-5461	276	10	|m1ik	|m1ik	PUNCT
cana-5461	276	11	−	−	ADP
cana-5461	276	12	ri∑	ri∑	PROPN
cana-5461	276	13	k=1	k=1	PROPN
cana-5461	276	14	|dik	|dik	NOUN
cana-5461	276	15	|qik	|qik	PROPN
cana-5461	276	16	)	)	PUNCT
cana-5461	276	17	−	−	ADP
cana-5461	277	1	τi	τi	ADV
cana-5461	277	2	n∑	n∑	NOUN
cana-5461	277	3	j=1	j=1	PROPN
cana-5461	277	4	|bji|pi|ciik	|bji|pi|ciik	VERB
cana-5461	277	5	|m1ik	|m1ik	PROPN
cana-5461	277	6	−	−	PROPN
cana-5461	277	7	ϑik	ϑik	VERB
cana-5461	277	8	|ciik	|ciik	ADJ
cana-5461	277	9	|m1ik	|m1ik	PROPN
cana-5461	278	1	(	(	PUNCT
cana-5461	278	2	cik	cik	PROPN
cana-5461	278	3	+	+	SYM
cana-5461	278	4	ri∑	ri∑	PROPN
cana-5461	278	5	k=1	k=1	PROPN
cana-5461	278	6	|dik	|dik	NOUN
cana-5461	278	7	|qik	|qik	PROPN
cana-5461	278	8	)	)	PUNCT
cana-5461	278	9	−	−	ADP
cana-5461	278	10	ζik	ζik	PROPN
cana-5461	278	11	(	(	PUNCT
cana-5461	278	12	ri∑	ri∑	PROPN
cana-5461	278	13	k=1	k=1	PROPN
cana-5461	278	14	|dik	|dik	NOUN
cana-5461	278	15	|qik	|qik	PROPN
cana-5461	278	16	(	(	PUNCT
cana-5461	278	17	cik	cik	PROPN
cana-5461	278	18	+	+	SYM
cana-5461	278	19	ri∑	ri∑	PROPN
cana-5461	278	20	k=1	k=1	PROPN
cana-5461	278	21	|dik	|dik	NOUN
cana-5461	278	22	|qik	|qik	PROPN
cana-5461	278	23	)	)	PUNCT
cana-5461	278	24	)	)	PUNCT
cana-5461	279	1	|wik(t)|	|wik(t)|	ADV
cana-5461	279	2	]	]	PUNCT
cana-5461	279	3	≤	≤	NUM
cana-5461	279	4	−	−	NUM
cana-5461	280	1	n∑	n∑	NOUN
cana-5461	280	2	i=1	i=1	X
cana-5461	281	1	[	[	X
cana-5461	281	2	(	(	PUNCT
cana-5461	281	3	a−	a−	PROPN
cana-5461	281	4	cτ∗	cτ∗	NOUN
cana-5461	281	5	)	)	PUNCT
cana-5461	281	6	|zi(t)|+	|zi(t)|+	PROPN
cana-5461	281	7	ri∑	ri∑	X
cana-5461	281	8	k=1	k=1	X
cana-5461	281	9	(	(	PUNCT
cana-5461	281	10	b	b	X
cana-5461	281	11	−dτ∗	−dτ∗	NOUN
cana-5461	281	12	−	−	NOUN
cana-5461	281	13	eϑ∗	eϑ∗	NOUN
cana-5461	281	14	−	−	PROPN
cana-5461	281	15	fζ∗	fζ∗	PROPN
cana-5461	281	16	)	)	PUNCT
cana-5461	282	1	|wik(t)|	|wik(t)|	NOUN
cana-5461	282	2	]	]	PUNCT
cana-5461	282	3	(	(	PUNCT
cana-5461	282	4	19	19	NUM
cana-5461	282	5	)	)	PUNCT
cana-5461	282	6	let	let	VERB
cana-5461	282	7	r	r	NOUN
cana-5461	282	8	=	=	SYM
cana-5461	282	9	min	min	X
cana-5461	282	10	{	{	PUNCT
cana-5461	282	11	a	a	DET
cana-5461	282	12	c	c	PROPN
cana-5461	282	13	,	,	PUNCT
cana-5461	282	14	b	b	PROPN
cana-5461	283	1	d	d	NOUN
cana-5461	283	2	}	}	PUNCT
cana-5461	283	3	,	,	PUNCT
cana-5461	283	4	s	s	NOUN
cana-5461	283	5	=	=	SYM
cana-5461	283	6	b	b	PROPN
cana-5461	283	7	e	e	NOUN
cana-5461	283	8	and	and	CCONJ
cana-5461	283	9	p	p	NOUN
cana-5461	283	10	=	=	SYM
cana-5461	283	11	b	b	PROPN
cana-5461	283	12	f	f	PROPN
cana-5461	283	13	.	.	PUNCT
cana-5461	284	1	we	we	PRON
cana-5461	284	2	take	take	VERB
cana-5461	284	3	τ∗	τ∗	NOUN
cana-5461	284	4	=	=	X
cana-5461	284	5	max	max	PROPN
cana-5461	284	6	{	{	PUNCT
cana-5461	284	7	τi	τi	PROPN
cana-5461	284	8	,	,	PUNCT
cana-5461	284	9	1	1	NUM
cana-5461	284	10	≤	≤	NUM
cana-5461	284	11	i	i	PRON
cana-5461	284	12	≤	≤	NOUN
cana-5461	284	13	n	n	CCONJ
cana-5461	284	14	}	}	PUNCT
cana-5461	284	15	,	,	PUNCT
cana-5461	284	16	ϑ∗	ϑ∗	NOUN
cana-5461	284	17	=	=	SYM
cana-5461	284	18	max	max	PROPN
cana-5461	284	19	{	{	PUNCT
cana-5461	284	20	ϑik	ϑik	ADJ
cana-5461	284	21	,	,	PUNCT
cana-5461	284	22	1	1	NUM
cana-5461	284	23	≤	≤	NUM
cana-5461	284	24	i	i	PRON
cana-5461	284	25	≤	≤	PROPN
cana-5461	284	26	n	n	CCONJ
cana-5461	284	27	,	,	PUNCT
cana-5461	284	28	1	1	NUM
cana-5461	284	29	≤	≤	NUM
cana-5461	284	30	k	k	X
cana-5461	284	31	≤	≤	PROPN
cana-5461	284	32	ri	ri	X
cana-5461	284	33	}	}	PUNCT
cana-5461	284	34	and	and	CCONJ
cana-5461	284	35	ζ∗	ζ∗	PROPN
cana-5461	284	36	=	=	SYM
cana-5461	284	37	max	max	PROPN
cana-5461	284	38	{	{	PUNCT
cana-5461	284	39	ζik	ζik	NOUN
cana-5461	284	40	,	,	PUNCT
cana-5461	284	41	1	1	NUM
cana-5461	284	42	≤	≤	NUM
cana-5461	284	43	i	i	PRON
cana-5461	284	44	≤	≤	PROPN
cana-5461	284	45	n	n	CCONJ
cana-5461	284	46	,	,	PUNCT
cana-5461	284	47	1	1	NUM
cana-5461	284	48	≤	≤	NUM
cana-5461	284	49	k	k	X
cana-5461	284	50	≤	≤	PROPN
cana-5461	284	51	ri	ri	X
cana-5461	284	52	}	}	PUNCT
cana-5461	284	53	clearly	clearly	ADV
cana-5461	284	54	from	from	ADP
cana-5461	284	55	hypothesis	hypothesis	NOUN
cana-5461	284	56	and	and	CCONJ
cana-5461	284	57	(	(	PUNCT
cana-5461	284	58	18	18	NUM
cana-5461	284	59	)	)	PUNCT
cana-5461	284	60	,	,	PUNCT
cana-5461	284	61	we	we	PRON
cana-5461	284	62	have	have	VERB
cana-5461	284	63	0	0	NUM
cana-5461	284	64	<	<	X
cana-5461	284	65	τ∗	τ∗	X
cana-5461	284	66	<	<	X
cana-5461	284	67	r	r	NOUN
cana-5461	284	68	,	,	PUNCT
cana-5461	284	69	0	0	NUM
cana-5461	284	70	<	<	X
cana-5461	284	71	ϑ∗	ϑ∗	X
cana-5461	284	72	<	<	X
cana-5461	284	73	s	s	PROPN
cana-5461	284	74	,	,	PUNCT
cana-5461	284	75	0	0	PUNCT
cana-5461	284	76	<	<	X
cana-5461	284	77	ζ∗	ζ∗	PROPN
cana-5461	284	78	<	<	X
cana-5461	284	79	p.	p.	NOUN
cana-5461	285	1	thus	thus	ADV
cana-5461	285	2	we	we	PRON
cana-5461	285	3	have	have	VERB
cana-5461	285	4	d+v	d+v	PROPN
cana-5461	285	5	(	(	PUNCT
cana-5461	285	6	t	t	NOUN
cana-5461	285	7	)	)	PUNCT
cana-5461	285	8	<	<	X
cana-5461	285	9	0	0	X
cana-5461	285	10	.	.	PUNCT
cana-5461	286	1	therefore	therefore	ADV
cana-5461	286	2	,	,	PUNCT
cana-5461	286	3	the	the	DET
cana-5461	286	4	equilibrium	equilibrium	NOUN
cana-5461	286	5	(	(	PUNCT
cana-5461	286	6	x∗i	x∗i	PROPN
cana-5461	286	7	,	,	PUNCT
cana-5461	286	8	y	y	PROPN
cana-5461	286	9	∗	∗	PROPN
cana-5461	286	10	ik	ik	PROPN
cana-5461	286	11	)	)	PUNCT
cana-5461	286	12	is	be	AUX
cana-5461	286	13	globally	globally	ADV
cana-5461	286	14	asymptotically	asymptotically	ADV
cana-5461	286	15	stable	stable	ADJ
cana-5461	286	16	(	(	PUNCT
cana-5461	286	17	see	see	VERB
cana-5461	286	18	[	[	X
cana-5461	286	19	19	19	NUM
cana-5461	286	20	,	,	PUNCT
cana-5461	286	21	13	13	NUM
cana-5461	286	22	]	]	NUM
cana-5461	286	23	)	)	PUNCT
cana-5461	286	24	.	.	PUNCT
cana-5461	287	1	remark	remark	PROPN
cana-5461	287	2	2.6	2.6	NUM
cana-5461	287	3	.	.	PUNCT
cana-5461	288	1	from	from	ADP
cana-5461	288	2	the	the	DET
cana-5461	288	3	above	above	ADJ
cana-5461	288	4	results	result	NOUN
cana-5461	288	5	,	,	PUNCT
cana-5461	288	6	we	we	PRON
cana-5461	288	7	have	have	AUX
cana-5461	288	8	obtained	obtain	VERB
cana-5461	288	9	two	two	NUM
cana-5461	288	10	types	type	NOUN
cana-5461	288	11	of	of	ADP
cana-5461	288	12	conditions	condition	NOUN
cana-5461	288	13	for	for	ADP
cana-5461	288	14	global	global	ADJ
cana-5461	288	15	asymptotic	asymptotic	ADJ
cana-5461	288	16	stability	stability	NOUN
cana-5461	288	17	of	of	ADP
cana-5461	288	18	the	the	DET
cana-5461	288	19	system	system	NOUN
cana-5461	288	20	(	(	PUNCT
cana-5461	288	21	2	2	NUM
cana-5461	288	22	)	)	PUNCT
cana-5461	288	23	.	.	PUNCT
cana-5461	289	1	one	one	NUM
cana-5461	289	2	is	be	AUX
cana-5461	289	3	by	by	ADP
cana-5461	289	4	restricting	restrict	VERB
cana-5461	289	5	the	the	DET
cana-5461	289	6	delays	delay	NOUN
cana-5461	289	7	,	,	PUNCT
cana-5461	289	8	and	and	CCONJ
cana-5461	289	9	the	the	DET
cana-5461	289	10	other	other	ADJ
cana-5461	289	11	is	be	AUX
cana-5461	289	12	by	by	ADP
cana-5461	289	13	not	not	PART
cana-5461	289	14	restricting	restrict	VERB
cana-5461	289	15	delays	delay	NOUN
cana-5461	289	16	but	but	CCONJ
cana-5461	289	17	putting	put	VERB
cana-5461	289	18	some	some	DET
cana-5461	289	19	limitations	limitation	NOUN
cana-5461	289	20	on	on	ADP
cana-5461	289	21	the	the	DET
cana-5461	289	22	parameters	parameter	NOUN
cana-5461	289	23	of	of	ADP
cana-5461	289	24	the	the	DET
cana-5461	289	25	system	system	NOUN
cana-5461	289	26	.	.	PUNCT
cana-5461	290	1	thus	thus	ADV
cana-5461	290	2	,	,	PUNCT
cana-5461	290	3	the	the	DET
cana-5461	290	4	solutions	solution	NOUN
cana-5461	290	5	of	of	ADP
cana-5461	290	6	the	the	DET
cana-5461	290	7	system	system	NOUN
cana-5461	290	8	(	(	PUNCT
cana-5461	290	9	2	2	X
cana-5461	290	10	)	)	PUNCT
cana-5461	290	11	will	will	AUX
cana-5461	290	12	converge	converge	VERB
cana-5461	290	13	to	to	ADP
cana-5461	290	14	its	its	PRON
cana-5461	290	15	equilibrium	equilibrium	NOUN
cana-5461	290	16	point	point	NOUN
cana-5461	290	17	under	under	ADP
cana-5461	290	18	given	give	VERB
cana-5461	290	19	conditions	condition	NOUN
cana-5461	290	20	.	.	PUNCT
cana-5461	291	1	so	so	ADV
cana-5461	291	2	we	we	PRON
cana-5461	291	3	can	can	AUX
cana-5461	291	4	say	say	VERB
cana-5461	291	5	our	our	PRON
cana-5461	291	6	system	system	NOUN
cana-5461	291	7	(	(	PUNCT
cana-5461	291	8	2	2	NUM
cana-5461	291	9	)	)	PUNCT
cana-5461	291	10	with	with	ADP
cana-5461	291	11	constant	constant	ADJ
cana-5461	291	12	inputs	input	NOUN
cana-5461	291	13	is	be	AUX
cana-5461	291	14	well	well	ADV
cana-5461	291	15	-	-	PUNCT
cana-5461	291	16	behaved	behave	VERB
cana-5461	291	17	and	and	CCONJ
cana-5461	291	18	controllable	controllable	ADJ
cana-5461	291	19	under	under	ADP
cana-5461	291	20	certain	certain	ADJ
cana-5461	291	21	conditions	condition	NOUN
cana-5461	291	22	.	.	PUNCT
cana-5461	292	1	we	we	PRON
cana-5461	292	2	illustrate	illustrate	VERB
cana-5461	292	3	the	the	DET
cana-5461	292	4	above	above	ADJ
cana-5461	292	5	results	result	NOUN
cana-5461	292	6	by	by	ADP
cana-5461	292	7	using	use	VERB
cana-5461	292	8	the	the	DET
cana-5461	292	9	numerical	numerical	ADJ
cana-5461	292	10	example	example	NOUN
cana-5461	292	11	,	,	PUNCT
cana-5461	292	12	example	example	NOUN
cana-5461	292	13	2.7	2.7	NUM
cana-5461	292	14	.	.	PUNCT
cana-5461	293	1	consider	consider	VERB
cana-5461	293	2	the	the	DET
cana-5461	293	3	system	system	NOUN
cana-5461	293	4	of	of	ADP
cana-5461	293	5	equations	equation	NOUN
cana-5461	293	6	with	with	ADP
cana-5461	293	7	the	the	DET
cana-5461	293	8	2	2	NUM
cana-5461	293	9	main	main	ADJ
cana-5461	293	10	components	component	NOUN
cana-5461	293	11	and	and	CCONJ
cana-5461	293	12	two	two	NUM
cana-5461	293	13	sub	sub	NOUN
cana-5461	293	14	-	-	NOUN
cana-5461	293	15	components	component	NOUN
cana-5461	293	16	attached	attach	VERB
cana-5461	293	17	to	to	ADP
cana-5461	293	18	the	the	DET
cana-5461	293	19	main	main	ADJ
cana-5461	293	20	components	component	NOUN
cana-5461	293	21	x	x	NOUN
cana-5461	294	1	′	′	NOUN
cana-5461	294	2	1	1	NUM
cana-5461	294	3	=	=	SYM
cana-5461	294	4	−1.9x1	−1.9x1	NOUN
cana-5461	294	5	+	+	CCONJ
cana-5461	294	6	0.2f1(x1(t−	0.2f1(x1(t−	NUM
cana-5461	294	7	τ1	τ1	NOUN
cana-5461	294	8	)	)	PUNCT
cana-5461	294	9	)	)	PUNCT
cana-5461	295	1	+	+	CCONJ
cana-5461	295	2	0.32f2(x2(t−	0.32f2(x2(t−	NUM
cana-5461	295	3	τ2	τ2	NOUN
cana-5461	295	4	)	)	PUNCT
cana-5461	295	5	)	)	PUNCT
cana-5461	296	1	+	+	CCONJ
cana-5461	296	2	0.23g11(x1	0.23g11(x1	ADJ
cana-5461	296	3	,	,	PUNCT
cana-5461	296	4	y11(t−	y11(t−	PROPN
cana-5461	296	5	ϑ11	ϑ11	NOUN
cana-5461	296	6	)	)	PUNCT
cana-5461	296	7	)	)	PUNCT
cana-5461	297	1	+	+	CCONJ
cana-5461	298	1	0.44g12(x1	0.44g12(x1	PROPN
cana-5461	298	2	,	,	PUNCT
cana-5461	298	3	y12(t−	y12(t−	ADV
cana-5461	298	4	ϑ12	ϑ12	ADJ
cana-5461	298	5	)	)	PUNCT
cana-5461	298	6	)	)	PUNCT
cana-5461	299	1	+	+	CCONJ
cana-5461	299	2	1	1	NUM
cana-5461	299	3	x	x	SYM
cana-5461	299	4	′	′	NOUN
cana-5461	299	5	2	2	NUM
cana-5461	299	6	=	=	SYM
cana-5461	299	7	−2.2x2	−2.2x2	PUNCT
cana-5461	299	8	+	+	NOUN
cana-5461	299	9	0.6f1(x1(t−	0.6f1(x1(t−	NUM
cana-5461	299	10	τ1	τ1	NOUN
cana-5461	299	11	)	)	PUNCT
cana-5461	299	12	)	)	PUNCT
cana-5461	300	1	+	+	CCONJ
cana-5461	300	2	0.25f2(x2(t−	0.25f2(x2(t−	NUM
cana-5461	300	3	τ2	τ2	NOUN
cana-5461	300	4	)	)	PUNCT
cana-5461	300	5	)	)	PUNCT
cana-5461	301	1	+	+	CCONJ
cana-5461	301	2	0.31g21(x2	0.31g21(x2	NOUN
cana-5461	301	3	,	,	PUNCT
cana-5461	301	4	y21(t−	y21(t−	PROPN
cana-5461	301	5	ϑ21	ϑ21	PROPN
cana-5461	301	6	)	)	PUNCT
cana-5461	301	7	)	)	PUNCT
cana-5461	302	1	+	+	CCONJ
cana-5461	302	2	0.26g22(x2	0.26g22(x2	NOUN
cana-5461	302	3	,	,	PUNCT
cana-5461	302	4	y22(t−	y22(t−	PROPN
cana-5461	302	5	ϑ22	ϑ22	ADJ
cana-5461	302	6	)	)	PUNCT
cana-5461	302	7	)	)	PUNCT
cana-5461	303	1	+	+	CCONJ
cana-5461	303	2	1	1	NUM
cana-5461	303	3	y	y	NOUN
cana-5461	303	4	′	′	NUM
cana-5461	303	5	11	11	NUM
cana-5461	303	6	=	=	PUNCT
cana-5461	303	7	−1.5y11	−1.5y11	PRON
cana-5461	303	8	+	+	CCONJ
cana-5461	303	9	0.22h11(y11(t−	0.22h11(y11(t−	NOUN
cana-5461	303	10	ζ11	ζ11	NOUN
cana-5461	303	11	)	)	PUNCT
cana-5461	303	12	)	)	PUNCT
cana-5461	304	1	+	+	NUM
cana-5461	304	2	0.12h12(y12(t−	0.12h12(y12(t−	NUM
cana-5461	304	3	ζ12	ζ12	NOUN
cana-5461	304	4	)	)	PUNCT
cana-5461	304	5	)	)	PUNCT
cana-5461	305	1	+	+	CCONJ
cana-5461	305	2	1	1	NUM
cana-5461	305	3	y	y	NOUN
cana-5461	305	4	′	′	NUM
cana-5461	305	5	12	12	NUM
cana-5461	305	6	=	=	SYM
cana-5461	305	7	−2y12	−2y12	PROPN
cana-5461	305	8	+	+	CCONJ
cana-5461	305	9	0.31h11(y11(t−	0.31h11(y11(t−	NOUN
cana-5461	305	10	ζ11	ζ11	NOUN
cana-5461	305	11	)	)	PUNCT
cana-5461	305	12	)	)	PUNCT
cana-5461	306	1	+	+	NUM
cana-5461	306	2	0.25h12(y12(t−	0.25h12(y12(t−	NUM
cana-5461	306	3	ζ12	ζ12	NOUN
cana-5461	306	4	)	)	PUNCT
cana-5461	306	5	)	)	PUNCT
cana-5461	307	1	+	+	CCONJ
cana-5461	307	2	1	1	NUM
cana-5461	307	3	y	y	NOUN
cana-5461	307	4	′	′	NOUN
cana-5461	307	5	21	21	NUM
cana-5461	307	6	=	=	PUNCT
cana-5461	307	7	−1.8y21	−1.8y21	PROPN
cana-5461	307	8	+	+	CCONJ
cana-5461	307	9	0.5h21(y21(t−	0.5h21(y21(t−	NUM
cana-5461	307	10	ζ21	ζ21	VERB
cana-5461	307	11	)	)	PUNCT
cana-5461	307	12	)	)	PUNCT
cana-5461	308	1	+	+	CCONJ
cana-5461	308	2	0.2h22(y22(t−	0.2h22(y22(t−	NUM
cana-5461	308	3	ζ22	ζ22	NOUN
cana-5461	308	4	)	)	PUNCT
cana-5461	308	5	)	)	PUNCT
cana-5461	309	1	+	+	CCONJ
cana-5461	309	2	1	1	NUM
cana-5461	309	3	y	y	NOUN
cana-5461	309	4	′	′	NUM
cana-5461	309	5	22	22	NUM
cana-5461	310	1	=	=	NOUN
cana-5461	310	2	−1.6y21	−1.6y21	NOUN
cana-5461	310	3	+	+	CCONJ
cana-5461	310	4	0.3h21(y21(t−	0.3h21(y21(t−	NUM
cana-5461	310	5	ζ21	ζ21	VERB
cana-5461	310	6	)	)	PUNCT
cana-5461	310	7	)	)	PUNCT
cana-5461	311	1	+	+	NUM
cana-5461	311	2	0.1h22(y22(t−	0.1h22(y22(t−	NUM
cana-5461	311	3	ζ22	ζ22	NOUN
cana-5461	311	4	)	)	PUNCT
cana-5461	311	5	)	)	PUNCT
cana-5461	312	1	+	+	CCONJ
cana-5461	312	2	1	1	NUM
cana-5461	312	3	13	13	NUM
cana-5461	312	4	vol	vol	NOUN
cana-5461	312	5	32	32	NUM
cana-5461	312	6	no	no	NOUN
cana-5461	312	7	.	.	PUNCT
cana-5461	313	1	10s(2025	10s(2025	NUM
cana-5461	313	2	)	)	PUNCT
cana-5461	313	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	313	4	communications	communication	NOUN
cana-5461	313	5	on	on	ADP
cana-5461	313	6	applied	apply	VERB
cana-5461	313	7	nonlinear	nonlinear	ADJ
cana-5461	313	8	analysis	analysis	NOUN
cana-5461	313	9	issn:1074	issn:1074	NOUN
cana-5461	313	10	-	-	NOUN
cana-5461	313	11	133x	133x	ADJ
cana-5461	313	12	2358	2358	NUM
cana-5461	313	13	choose	choose	VERB
cana-5461	313	14	the	the	DET
cana-5461	313	15	response	response	NOUN
cana-5461	313	16	function	function	NOUN
cana-5461	313	17	as	as	ADP
cana-5461	313	18	fi(xi	fi(xi	PROPN
cana-5461	313	19	)	)	PUNCT
cana-5461	313	20	=	=	SYM
cana-5461	313	21	tanh(xi	tanh(xi	PROPN
cana-5461	313	22	)	)	PUNCT
cana-5461	313	23	,	,	PUNCT
cana-5461	313	24	hil(yil	hil(yil	NOUN
cana-5461	313	25	)	)	PUNCT
cana-5461	314	1	=	=	SYM
cana-5461	314	2	tanh(yil	tanh(yil	NOUN
cana-5461	314	3	)	)	PUNCT
cana-5461	314	4	and	and	CCONJ
cana-5461	314	5	gik(xi	gik(xi	PROPN
cana-5461	314	6	,	,	PUNCT
cana-5461	314	7	yik	yik	PROPN
cana-5461	314	8	)	)	PUNCT
cana-5461	314	9	=	=	PUNCT
cana-5461	314	10	xi	xi	PROPN
cana-5461	314	11	+	+	CCONJ
cana-5461	314	12	yik	yik	PROPN
cana-5461	314	13	.	.	PUNCT
cana-5461	315	1	for	for	ADP
cana-5461	315	2	this	this	DET
cana-5461	315	3	choice	choice	NOUN
cana-5461	315	4	of	of	ADP
cana-5461	315	5	the	the	DET
cana-5461	315	6	functions	function	NOUN
cana-5461	315	7	pj	pj	PROPN
cana-5461	315	8	=	=	SYM
cana-5461	315	9	qil	qil	PROPN
cana-5461	315	10	=	=	SYM
cana-5461	315	11	m1ik	m1ik	NOUN
cana-5461	315	12	=	=	PUNCT
cana-5461	315	13	m2ik	m2ik	PUNCT
cana-5461	315	14	=	=	SYM
cana-5461	315	15	1	1	NUM
cana-5461	315	16	for	for	ADP
cana-5461	315	17	i	i	PRON
cana-5461	315	18	=	=	NOUN
cana-5461	315	19	1	1	NUM
cana-5461	315	20	,	,	PUNCT
cana-5461	315	21	2	2	NUM
cana-5461	315	22	,	,	PUNCT
cana-5461	315	23	3	3	NUM
cana-5461	315	24	,	,	PUNCT
cana-5461	315	25	k	k	NOUN
cana-5461	315	26	=	=	SYM
cana-5461	315	27	1	1	NUM
cana-5461	315	28	,	,	PUNCT
cana-5461	315	29	2	2	NUM
cana-5461	315	30	,	,	PUNCT
cana-5461	315	31	3	3	NUM
cana-5461	315	32	.	.	PUNCT
cana-5461	315	33	the	the	DET
cana-5461	315	34	equilibrium	equilibrium	NOUN
cana-5461	315	35	point	point	NOUN
cana-5461	315	36	of	of	ADP
cana-5461	315	37	this	this	DET
cana-5461	315	38	system	system	NOUN
cana-5461	315	39	is	be	AUX
cana-5461	315	40	(	(	PUNCT
cana-5461	315	41	1.5853	1.5853	NUM
cana-5461	315	42	,	,	PUNCT
cana-5461	315	43	1.3682	1.3682	NUM
cana-5461	315	44	,	,	PUNCT
cana-5461	315	45	0.8123	0.8123	NUM
cana-5461	315	46	,	,	PUNCT
cana-5461	315	47	0.6777	0.6777	NUM
cana-5461	315	48	,	,	PUNCT
cana-5461	315	49	0.8157	0.8157	NUM
cana-5461	315	50	,	,	PUNCT
cana-5461	315	51	0.7924	0.7924	NUM
cana-5461	315	52	)	)	PUNCT
cana-5461	315	53	.	.	PUNCT
cana-5461	316	1	substituting	substitute	VERB
cana-5461	316	2	the	the	DET
cana-5461	316	3	parameters	parameter	NOUN
cana-5461	316	4	in	in	ADP
cana-5461	316	5	the	the	DET
cana-5461	316	6	above	above	ADJ
cana-5461	316	7	theorem	theorem	NOUN
cana-5461	316	8	2.2.1	2.2.1	NUM
cana-5461	316	9	,	,	PUNCT
cana-5461	316	10	we	we	PRON
cana-5461	316	11	get	get	VERB
cana-5461	316	12	a	a	DET
cana-5461	316	13	=	=	NOUN
cana-5461	316	14	0.43	0.43	NUM
cana-5461	316	15	,	,	PUNCT
cana-5461	316	16	b	b	NOUN
cana-5461	316	17	=	=	SYM
cana-5461	316	18	0.79	0.79	NUM
cana-5461	316	19	,	,	PUNCT
cana-5461	316	20	c	c	X
cana-5461	316	21	=	=	SYM
cana-5461	316	22	1.9038	1.9038	NUM
cana-5461	316	23	,	,	PUNCT
cana-5461	316	24	d	d	NOUN
cana-5461	316	25	=	=	SYM
cana-5461	316	26	0.1482	0.1482	NUM
cana-5461	316	27	,	,	PUNCT
cana-5461	316	28	e	e	X
cana-5461	316	29	=	=	SYM
cana-5461	316	30	0.4232	0.4232	NUM
cana-5461	316	31	,	,	PUNCT
cana-5461	316	32	f	f	X
cana-5461	316	33	=	=	SYM
cana-5461	316	34	0.6256	0.6256	NUM
cana-5461	316	35	and	and	CCONJ
cana-5461	316	36	r	r	NOUN
cana-5461	316	37	=	=	SYM
cana-5461	316	38	min{a	min{a	PROPN
cana-5461	316	39	c	c	PROPN
cana-5461	316	40	,	,	PUNCT
cana-5461	316	41	b	b	X
cana-5461	316	42	d	d	NOUN
cana-5461	316	43	}	}	PUNCT
cana-5461	316	44	=	=	SYM
cana-5461	316	45	0.229	0.229	NUM
cana-5461	316	46	,	,	PUNCT
cana-5461	316	47	s	s	PART
cana-5461	316	48	=	=	SYM
cana-5461	316	49	b	b	X
cana-5461	316	50	e	e	X
cana-5461	316	51	=	=	SYM
cana-5461	316	52	1.8667	1.8667	NUM
cana-5461	316	53	,	,	PUNCT
cana-5461	316	54	p	p	X
cana-5461	316	55	=	=	SYM
cana-5461	316	56	b	b	PROPN
cana-5461	316	57	f	f	X
cana-5461	316	58	=	=	SYM
cana-5461	316	59	1.2628	1.2628	NUM
cana-5461	316	60	0	0	PUNCT
cana-5461	316	61	<	<	X
cana-5461	316	62	τ∗	τ∗	X
cana-5461	316	63	<	<	X
cana-5461	316	64	r	r	NOUN
cana-5461	316	65	,	,	PUNCT
cana-5461	316	66	0	0	NUM
cana-5461	316	67	<	<	X
cana-5461	316	68	ϑ∗	ϑ∗	X
cana-5461	316	69	<	<	X
cana-5461	316	70	s	s	PROPN
cana-5461	316	71	,	,	PUNCT
cana-5461	316	72	0	0	PUNCT
cana-5461	316	73	<	<	X
cana-5461	316	74	ζ∗	ζ∗	PROPN
cana-5461	316	75	<	<	X
cana-5461	316	76	p.	p.	NOUN
cana-5461	316	77	the	the	DET
cana-5461	316	78	following	follow	VERB
cana-5461	316	79	(	(	PUNCT
cana-5461	316	80	figure	figure	NOUN
cana-5461	316	81	2	2	NUM
cana-5461	316	82	)	)	PUNCT
cana-5461	316	83	is	be	AUX
cana-5461	316	84	the	the	DET
cana-5461	316	85	simulation	simulation	NOUN
cana-5461	316	86	when	when	SCONJ
cana-5461	316	87	the	the	DET
cana-5461	316	88	delays	delay	NOUN
cana-5461	316	89	lie	lie	VERB
cana-5461	316	90	within	within	ADP
cana-5461	316	91	and	and	CCONJ
cana-5461	316	92	outside	outside	ADP
cana-5461	316	93	the	the	DET
cana-5461	316	94	region	region	NOUN
cana-5461	316	95	derived	derive	VERB
cana-5461	316	96	in	in	ADP
cana-5461	316	97	theorem	theorem	ADJ
cana-5461	316	98	2.5	2.5	NUM
cana-5461	316	99	(	(	PUNCT
cana-5461	316	100	a	a	NOUN
cana-5461	316	101	)	)	PUNCT
cana-5461	316	102	(	(	PUNCT
cana-5461	316	103	b	b	X
cana-5461	316	104	)	)	PUNCT
cana-5461	316	105	figure	figure	NOUN
cana-5461	316	106	2	2	NUM
cana-5461	316	107	remark	remark	NOUN
cana-5461	316	108	2.8	2.8	NUM
cana-5461	316	109	.	.	PUNCT
cana-5461	317	1	this	this	DET
cana-5461	317	2	example	example	NOUN
cana-5461	317	3	satisfies	satisfy	VERB
cana-5461	317	4	the	the	DET
cana-5461	317	5	conditions	condition	NOUN
cana-5461	317	6	of	of	ADP
cana-5461	317	7	both	both	PRON
cana-5461	317	8	theorem	theorem	VERB
cana-5461	317	9	2.1	2.1	NUM
cana-5461	317	10	and	and	CCONJ
cana-5461	317	11	theorem	theorem	VERB
cana-5461	317	12	2.3	2.3	NUM
cana-5461	317	13	.	.	PUNCT
cana-5461	318	1	as	as	SCONJ
cana-5461	318	2	it	it	PRON
cana-5461	318	3	satisfies	satisfy	VERB
cana-5461	318	4	the	the	DET
cana-5461	318	5	conditions	condition	NOUN
cana-5461	318	6	of	of	ADP
cana-5461	318	7	theorem	theorem	ADJ
cana-5461	318	8	2.3	2.3	NUM
cana-5461	318	9	,	,	PUNCT
cana-5461	318	10	in	in	ADP
cana-5461	318	11	spite	spite	NOUN
cana-5461	318	12	of	of	ADP
cana-5461	318	13	the	the	DET
cana-5461	318	14	presence	presence	NOUN
cana-5461	318	15	of	of	ADP
cana-5461	318	16	delays	delay	NOUN
cana-5461	318	17	the	the	DET
cana-5461	318	18	system	system	NOUN
cana-5461	318	19	will	will	AUX
cana-5461	318	20	be	be	AUX
cana-5461	318	21	globally	globally	ADV
cana-5461	318	22	asymptotically	asymptotically	ADV
cana-5461	318	23	stable	stable	ADJ
cana-5461	318	24	.	.	PUNCT
cana-5461	319	1	we	we	PRON
cana-5461	319	2	can	can	AUX
cana-5461	319	3	also	also	ADV
cana-5461	319	4	observe	observe	VERB
cana-5461	319	5	that	that	SCONJ
cana-5461	319	6	when	when	SCONJ
cana-5461	319	7	the	the	DET
cana-5461	319	8	delays	delay	NOUN
cana-5461	319	9	are	be	AUX
cana-5461	319	10	outside	outside	ADP
cana-5461	319	11	the	the	DET
cana-5461	319	12	range	range	NOUN
cana-5461	319	13	of	of	ADP
cana-5461	319	14	our	our	PRON
cana-5461	319	15	results	result	NOUN
cana-5461	319	16	in	in	ADP
cana-5461	319	17	theorem	theorem	ADJ
cana-5461	319	18	2.5	2.5	NUM
cana-5461	319	19	,	,	PUNCT
cana-5461	319	20	there	there	PRON
cana-5461	319	21	is	be	VERB
cana-5461	319	22	a	a	DET
cana-5461	319	23	disturbance	disturbance	NOUN
cana-5461	319	24	in	in	ADP
cana-5461	319	25	the	the	DET
cana-5461	319	26	solutions	solution	NOUN
cana-5461	319	27	to	to	PART
cana-5461	319	28	reach	reach	VERB
cana-5461	319	29	the	the	DET
cana-5461	319	30	equilibria	equilibrium	NOUN
cana-5461	319	31	when	when	SCONJ
cana-5461	319	32	compared	compare	VERB
cana-5461	319	33	to	to	ADP
cana-5461	319	34	that	that	PRON
cana-5461	319	35	of	of	ADP
cana-5461	319	36	when	when	SCONJ
cana-5461	319	37	they	they	PRON
cana-5461	319	38	are	be	AUX
cana-5461	319	39	within	within	ADP
cana-5461	319	40	the	the	DET
cana-5461	319	41	range	range	NOUN
cana-5461	319	42	.	.	PUNCT
cana-5461	320	1	thus	thus	ADV
cana-5461	320	2	,	,	PUNCT
cana-5461	320	3	our	our	PRON
cana-5461	320	4	system	system	NOUN
cana-5461	320	5	(	(	PUNCT
cana-5461	320	6	2	2	X
cana-5461	320	7	)	)	PUNCT
cana-5461	320	8	is	be	AUX
cana-5461	320	9	in	in	ADP
cana-5461	320	10	a	a	DET
cana-5461	320	11	controllable	controllable	ADJ
cana-5461	320	12	state	state	NOUN
cana-5461	320	13	under	under	ADP
cana-5461	320	14	specific	specific	ADJ
cana-5461	320	15	conditions	condition	NOUN
cana-5461	320	16	.	.	PUNCT
cana-5461	321	1	hence	hence	ADV
cana-5461	321	2	,	,	PUNCT
cana-5461	321	3	it	it	PRON
cana-5461	321	4	is	be	AUX
cana-5461	321	5	suitable	suitable	ADJ
cana-5461	321	6	for	for	ADP
cana-5461	321	7	our	our	PRON
cana-5461	321	8	proposition	proposition	NOUN
cana-5461	321	9	.	.	PUNCT
cana-5461	322	1	we	we	PRON
cana-5461	322	2	further	far	ADV
cana-5461	322	3	see	see	VERB
cana-5461	322	4	that	that	DET
cana-5461	322	5	model	model	NOUN
cana-5461	322	6	(	(	PUNCT
cana-5461	322	7	2	2	NUM
cana-5461	322	8	)	)	PUNCT
cana-5461	322	9	under	under	ADP
cana-5461	322	10	consideration	consideration	NOUN
cana-5461	322	11	has	have	VERB
cana-5461	322	12	constant	constant	ADJ
cana-5461	322	13	exogenous	exogenous	ADJ
cana-5461	322	14	inputs	input	NOUN
cana-5461	322	15	,	,	PUNCT
cana-5461	322	16	but	but	CCONJ
cana-5461	322	17	in	in	ADP
cana-5461	322	18	some	some	DET
cana-5461	322	19	situations	situation	NOUN
cana-5461	322	20	,	,	PUNCT
cana-5461	322	21	the	the	DET
cana-5461	322	22	inputs	input	NOUN
cana-5461	322	23	may	may	AUX
cana-5461	322	24	vary	vary	VERB
cana-5461	322	25	according	accord	VERB
cana-5461	322	26	to	to	ADP
cana-5461	322	27	time	time	NOUN
cana-5461	322	28	.	.	PUNCT
cana-5461	323	1	so	so	ADV
cana-5461	323	2	,	,	PUNCT
cana-5461	323	3	to	to	PART
cana-5461	323	4	suit	suit	VERB
cana-5461	323	5	such	such	ADJ
cana-5461	323	6	situations	situation	NOUN
cana-5461	323	7	,	,	PUNCT
cana-5461	323	8	we	we	PRON
cana-5461	323	9	consider	consider	VERB
cana-5461	323	10	the	the	DET
cana-5461	323	11	model	model	NOUN
cana-5461	323	12	to	to	PART
cana-5461	323	13	have	have	VERB
cana-5461	323	14	varying	vary	VERB
cana-5461	323	15	input	input	NOUN
cana-5461	323	16	in	in	ADP
cana-5461	323	17	the	the	DET
cana-5461	323	18	next	next	ADJ
cana-5461	323	19	section	section	NOUN
cana-5461	323	20	.	.	PUNCT
cana-5461	324	1	3	3	NUM
cana-5461	324	2	model	model	NOUN
cana-5461	324	3	with	with	ADP
cana-5461	324	4	time	time	NOUN
cana-5461	324	5	varying	vary	VERB
cana-5461	324	6	inputs	input	NOUN
cana-5461	324	7	-	-	PUNCT
cana-5461	324	8	behavior	behavior	NOUN
cana-5461	324	9	of	of	ADP
cana-5461	324	10	the	the	DET
cana-5461	324	11	solutions	solution	NOUN
cana-5461	324	12	the	the	DET
cana-5461	324	13	external	external	ADJ
cana-5461	324	14	inputs	input	NOUN
cana-5461	324	15	,	,	PUNCT
cana-5461	324	16	like	like	ADP
cana-5461	324	17	sensory	sensory	ADJ
cana-5461	324	18	inputs	input	NOUN
cana-5461	324	19	,	,	PUNCT
cana-5461	324	20	information	information	NOUN
cana-5461	324	21	from	from	ADP
cana-5461	324	22	the	the	DET
cana-5461	324	23	outside	outside	ADJ
cana-5461	324	24	world	world	NOUN
cana-5461	324	25	,	,	PUNCT
cana-5461	324	26	etc	etc	X
cana-5461	324	27	.	.	X
cana-5461	324	28	,	,	PUNCT
cana-5461	324	29	may	may	AUX
cana-5461	324	30	not	not	PART
cana-5461	324	31	always	always	ADV
cana-5461	324	32	be	be	AUX
cana-5461	324	33	constant	constant	ADJ
cana-5461	324	34	.	.	PUNCT
cana-5461	325	1	it	it	PRON
cana-5461	325	2	may	may	AUX
cana-5461	325	3	vary	vary	VERB
cana-5461	325	4	according	accord	VERB
cana-5461	325	5	to	to	ADP
cana-5461	325	6	time	time	NOUN
cana-5461	325	7	.	.	PUNCT
cana-5461	326	1	in	in	ADP
cana-5461	326	2	order	order	NOUN
cana-5461	326	3	to	to	PART
cana-5461	326	4	study	study	VERB
cana-5461	326	5	the	the	DET
cana-5461	326	6	impact	impact	NOUN
cana-5461	326	7	of	of	ADP
cana-5461	326	8	such	such	ADJ
cana-5461	326	9	time	time	NOUN
cana-5461	326	10	-	-	PUNCT
cana-5461	326	11	varying	vary	VERB
cana-5461	326	12	inputs	input	NOUN
cana-5461	326	13	on	on	ADP
cana-5461	326	14	the	the	DET
cana-5461	326	15	output	output	NOUN
cana-5461	326	16	of	of	ADP
cana-5461	326	17	emotions	emotion	NOUN
cana-5461	326	18	,	,	PUNCT
cana-5461	326	19	we	we	PRON
cana-5461	326	20	modify	modify	VERB
cana-5461	326	21	the	the	DET
cana-5461	326	22	model	model	NOUN
cana-5461	326	23	(	(	PUNCT
cana-5461	326	24	2	2	NUM
cana-5461	326	25	)	)	PUNCT
cana-5461	326	26	by	by	ADP
cana-5461	326	27	changing	change	VERB
cana-5461	326	28	the	the	DET
cana-5461	326	29	exogenous	exogenous	ADJ
cana-5461	326	30	inputs	input	NOUN
cana-5461	326	31	from	from	ADP
cana-5461	326	32	constant	constant	ADJ
cana-5461	326	33	functions	function	NOUN
cana-5461	326	34	to	to	ADP
cana-5461	326	35	a	a	DET
cana-5461	326	36	function	function	NOUN
cana-5461	326	37	of	of	ADP
cana-5461	326	38	time	time	NOUN
cana-5461	326	39	t	t	PROPN
cana-5461	326	40	,	,	PUNCT
cana-5461	326	41	i.e.	i.e.	X
cana-5461	326	42	,	,	PUNCT
cana-5461	326	43	we	we	PRON
cana-5461	326	44	take	take	VERB
cana-5461	326	45	the	the	DET
cana-5461	326	46	exogenous	exogenous	ADJ
cana-5461	326	47	inputs	input	NOUN
cana-5461	326	48	ii	ii	PROPN
cana-5461	326	49	and	and	CCONJ
cana-5461	326	50	jik	jik	PROPN
cana-5461	326	51	as	as	ADP
cana-5461	326	52	a	a	DET
cana-5461	326	53	function	function	NOUN
cana-5461	326	54	of	of	ADP
cana-5461	326	55	t	t	PROPN
cana-5461	326	56	then	then	ADV
cana-5461	326	57	the	the	DET
cana-5461	326	58	system	system	NOUN
cana-5461	326	59	will	will	AUX
cana-5461	326	60	take	take	VERB
cana-5461	326	61	the	the	DET
cana-5461	326	62	form	form	NOUN
cana-5461	326	63	14	14	NUM
cana-5461	326	64	vol	vol	NOUN
cana-5461	326	65	32	32	NUM
cana-5461	326	66	no	no	NOUN
cana-5461	326	67	.	.	PUNCT
cana-5461	327	1	10s(2025	10s(2025	NUM
cana-5461	327	2	)	)	PUNCT
cana-5461	327	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	327	4	communications	communication	NOUN
cana-5461	327	5	on	on	ADP
cana-5461	327	6	applied	apply	VERB
cana-5461	327	7	nonlinear	nonlinear	ADJ
cana-5461	327	8	analysis	analysis	NOUN
cana-5461	327	9	issn:1074	issn:1074	NOUN
cana-5461	327	10	-	-	NOUN
cana-5461	327	11	133x	133x	NUM
cana-5461	327	12	2359	2359	NUM
cana-5461	327	13	x	x	PUNCT
cana-5461	328	1	′	′	NUM
cana-5461	329	1	i	i	NOUN
cana-5461	329	2	=	=	PUNCT
cana-5461	329	3	−aixi	−aixi	NOUN
cana-5461	330	1	+	+	CCONJ
cana-5461	330	2	n∑	n∑	PROPN
cana-5461	330	3	j=1	j=1	NOUN
cana-5461	330	4	bijfj(xj(t−	bijfj(xj(t−	PROPN
cana-5461	330	5	τj	τj	ADP
cana-5461	330	6	)	)	PUNCT
cana-5461	330	7	)	)	PUNCT
cana-5461	331	1	+	+	CCONJ
cana-5461	331	2	ri∑	ri∑	X
cana-5461	331	3	k=1	k=1	PROPN
cana-5461	331	4	ciikgik(xi	ciikgik(xi	PROPN
cana-5461	331	5	,	,	PUNCT
cana-5461	331	6	yik(t−	yik(t−	NOUN
cana-5461	331	7	ϑik	ϑik	ADJ
cana-5461	331	8	)	)	PUNCT
cana-5461	331	9	)	)	PUNCT
cana-5461	332	1	+	+	PUNCT
cana-5461	332	2	ii(t	ii(t	NOUN
cana-5461	332	3	)	)	PUNCT
cana-5461	332	4	y	y	PROPN
cana-5461	332	5	′	′	NUM
cana-5461	332	6	ik	ik	PROPN
cana-5461	332	7	=	=	SYM
cana-5461	332	8	−cikyik	−cikyik	PROPN
cana-5461	332	9	+	+	CCONJ
cana-5461	332	10	ri∑	ri∑	PROPN
cana-5461	332	11	l=1	l=1	PROPN
cana-5461	332	12	dilhil(yil(t−	dilhil(yil(t−	PROPN
cana-5461	332	13	ζil	ζil	PROPN
cana-5461	332	14	)	)	PUNCT
cana-5461	332	15	)	)	PUNCT
cana-5461	333	1	+	+	CCONJ
cana-5461	334	1	jik(t	jik(t	PROPN
cana-5461	334	2	)	)	PUNCT
cana-5461	334	3	,	,	PUNCT
cana-5461	334	4	(	(	PUNCT
cana-5461	334	5	20	20	NUM
cana-5461	334	6	)	)	PUNCT
cana-5461	335	1	where	where	SCONJ
cana-5461	335	2	i	i	PRON
cana-5461	335	3	=	=	NOUN
cana-5461	335	4	1	1	NUM
cana-5461	335	5	,	,	PUNCT
cana-5461	335	6	2	2	NUM
cana-5461	335	7	,	,	PUNCT
cana-5461	335	8	3	3	NUM
cana-5461	335	9	....	....	SYM
cana-5461	335	10	n	n	CCONJ
cana-5461	335	11	,	,	PUNCT
cana-5461	335	12	k	k	PROPN
cana-5461	335	13	=	=	SYM
cana-5461	335	14	1	1	NUM
cana-5461	335	15	,	,	PUNCT
cana-5461	335	16	2	2	NUM
cana-5461	335	17	,	,	PUNCT
cana-5461	335	18	3	3	NUM
cana-5461	335	19	.....	.....	SYM
cana-5461	335	20	ri	ri	NOUN
cana-5461	335	21	and	and	CCONJ
cana-5461	335	22	1	1	NUM
cana-5461	335	23	≤	≤	NUM
cana-5461	335	24	ri	ri	X
cana-5461	335	25	≤	≤	PROPN
cana-5461	335	26	n.	n.	NOUN
cana-5461	335	27	under	under	ADP
cana-5461	335	28	the	the	DET
cana-5461	335	29	conditions	condition	NOUN
cana-5461	335	30	(	(	PUNCT
cana-5461	335	31	3	3	X
cana-5461	335	32	)	)	PUNCT
cana-5461	335	33	on	on	ADP
cana-5461	335	34	response	response	NOUN
cana-5461	335	35	functions	function	NOUN
cana-5461	335	36	and	and	CCONJ
cana-5461	335	37	assuming	assume	VERB
cana-5461	335	38	the	the	DET
cana-5461	335	39	inputs	input	NOUN
cana-5461	335	40	ii(t	ii(t	NOUN
cana-5461	335	41	)	)	PUNCT
cana-5461	335	42	and	and	CCONJ
cana-5461	335	43	jik(t	jik(t	PROPN
cana-5461	335	44	)	)	PUNCT
cana-5461	335	45	to	to	PART
cana-5461	335	46	be	be	AUX
cana-5461	335	47	bounded	bound	VERB
cana-5461	335	48	and	and	CCONJ
cana-5461	335	49	continuous	continuous	ADJ
cana-5461	335	50	on	on	ADP
cana-5461	335	51	[	[	X
cana-5461	335	52	0,∞	0,∞	NOUN
cana-5461	335	53	)	)	PUNCT
cana-5461	335	54	,	,	PUNCT
cana-5461	335	55	we	we	PRON
cana-5461	335	56	can	can	AUX
cana-5461	335	57	say	say	VERB
cana-5461	335	58	that	that	SCONJ
cana-5461	335	59	(	(	PUNCT
cana-5461	335	60	19	19	NUM
cana-5461	335	61	)	)	PUNCT
cana-5461	335	62	poses	pose	VERB
cana-5461	335	63	unique	unique	ADJ
cana-5461	335	64	solutions	solution	NOUN
cana-5461	335	65	in	in	ADP
cana-5461	335	66	there	there	PRON
cana-5461	335	67	maximal	maximal	ADJ
cana-5461	335	68	intervals	interval	NOUN
cana-5461	335	69	of	of	ADP
cana-5461	335	70	existence	existence	NOUN
cana-5461	335	71	[	[	X
cana-5461	335	72	14	14	NUM
cana-5461	335	73	,	,	PUNCT
cana-5461	335	74	20	20	NUM
cana-5461	335	75	]	]	PUNCT
cana-5461	335	76	.	.	PUNCT
cana-5461	336	1	when	when	SCONJ
cana-5461	336	2	we	we	PRON
cana-5461	336	3	take	take	VERB
cana-5461	336	4	τi	τi	ADV
cana-5461	336	5	=	=	SYM
cana-5461	336	6	0	0	NUM
cana-5461	337	1	in	in	ADP
cana-5461	337	2	(	(	PUNCT
cana-5461	337	3	19	19	NUM
cana-5461	337	4	)	)	PUNCT
cana-5461	337	5	it	it	PRON
cana-5461	337	6	will	will	AUX
cana-5461	337	7	be	be	AUX
cana-5461	337	8	deduce	deduce	ADJ
cana-5461	337	9	to	to	ADP
cana-5461	337	10	the	the	DET
cana-5461	337	11	model	model	NOUN
cana-5461	337	12	which	which	PRON
cana-5461	337	13	was	be	AUX
cana-5461	337	14	studied	study	VERB
cana-5461	337	15	in	in	ADP
cana-5461	337	16	[	[	X
cana-5461	337	17	14	14	NUM
cana-5461	337	18	]	]	PUNCT
cana-5461	337	19	.	.	PUNCT
cana-5461	338	1	and	and	CCONJ
cana-5461	338	2	if	if	SCONJ
cana-5461	338	3	we	we	PRON
cana-5461	338	4	take	take	VERB
cana-5461	338	5	τi	τi	ADP
cana-5461	338	6	=	=	SYM
cana-5461	338	7	0	0	NUM
cana-5461	338	8	,	,	PUNCT
cana-5461	338	9	ϑik	ϑik	VERB
cana-5461	338	10	=	=	SYM
cana-5461	338	11	0	0	NUM
cana-5461	338	12	and	and	CCONJ
cana-5461	338	13	ζik	ζik	NOUN
cana-5461	338	14	=	=	SYM
cana-5461	338	15	0	0	NUM
cana-5461	339	1	for	for	ADP
cana-5461	339	2	i	i	PRON
cana-5461	339	3	=	=	NOUN
cana-5461	339	4	1	1	NUM
cana-5461	339	5	,	,	PUNCT
cana-5461	339	6	2	2	NUM
cana-5461	339	7	,	,	PUNCT
cana-5461	339	8	...	...	PUNCT
cana-5461	339	9	n	n	CCONJ
cana-5461	339	10	and	and	CCONJ
cana-5461	339	11	k	k	PROPN
cana-5461	339	12	=	=	SYM
cana-5461	339	13	1	1	NUM
cana-5461	339	14	,	,	PUNCT
cana-5461	339	15	2	2	NUM
cana-5461	339	16	,	,	PUNCT
cana-5461	339	17	3	3	NUM
cana-5461	339	18	.....	.....	SYM
cana-5461	339	19	ri	ri	PROPN
cana-5461	339	20	in	in	ADP
cana-5461	339	21	(	(	PUNCT
cana-5461	339	22	19	19	NUM
cana-5461	339	23	)	)	PUNCT
cana-5461	339	24	it	it	PRON
cana-5461	339	25	will	will	AUX
cana-5461	339	26	deduce	deduce	VERB
cana-5461	339	27	to	to	ADP
cana-5461	339	28	the	the	DET
cana-5461	339	29	modified	modify	VERB
cana-5461	339	30	model	model	NOUN
cana-5461	339	31	that	that	PRON
cana-5461	339	32	was	be	AUX
cana-5461	339	33	mentioned	mention	VERB
cana-5461	339	34	as	as	ADP
cana-5461	339	35	the	the	DET
cana-5461	339	36	open	open	ADJ
cana-5461	339	37	problem	problem	NOUN
cana-5461	339	38	(	(	PUNCT
cana-5461	339	39	v	v	NOUN
cana-5461	339	40	)	)	PUNCT
cana-5461	339	41	in	in	ADP
cana-5461	339	42	[	[	X
cana-5461	339	43	19	19	NUM
cana-5461	339	44	]	]	PUNCT
cana-5461	339	45	.	.	PUNCT
cana-5461	340	1	as	as	ADP
cana-5461	340	2	(	(	PUNCT
cana-5461	340	3	19	19	NUM
cana-5461	340	4	)	)	PUNCT
cana-5461	340	5	is	be	AUX
cana-5461	340	6	a	a	DET
cana-5461	340	7	non	non	ADJ
cana-5461	340	8	-	-	ADJ
cana-5461	340	9	autonomous	autonomous	ADJ
cana-5461	340	10	system	system	NOUN
cana-5461	340	11	,	,	PUNCT
cana-5461	340	12	it	it	PRON
cana-5461	340	13	may	may	AUX
cana-5461	340	14	not	not	PART
cana-5461	340	15	possess	possess	VERB
cana-5461	340	16	equilibrium	equilibrium	NOUN
cana-5461	340	17	solutions	solution	NOUN
cana-5461	340	18	.	.	PUNCT
cana-5461	341	1	so	so	ADV
cana-5461	341	2	we	we	PRON
cana-5461	341	3	study	study	VERB
cana-5461	341	4	the	the	DET
cana-5461	341	5	behaviour	behaviour	NOUN
cana-5461	341	6	of	of	ADP
cana-5461	341	7	solutions	solution	NOUN
cana-5461	341	8	of	of	ADP
cana-5461	341	9	the	the	DET
cana-5461	341	10	system	system	NOUN
cana-5461	341	11	based	base	VERB
cana-5461	341	12	on	on	ADP
cana-5461	341	13	the	the	DET
cana-5461	341	14	asymptotic	asymptotic	ADJ
cana-5461	341	15	nearness	nearness	NOUN
cana-5461	341	16	and	and	CCONJ
cana-5461	341	17	boundedness	boundedness	NOUN
cana-5461	341	18	of	of	ADP
cana-5461	341	19	solutions	solution	NOUN
cana-5461	341	20	.	.	PUNCT
cana-5461	342	1	asymptotic	asymptotic	ADJ
cana-5461	342	2	nearness	nearness	NOUN
cana-5461	342	3	or	or	CCONJ
cana-5461	342	4	closeness	closeness	NOUN
cana-5461	342	5	shows	show	VERB
cana-5461	342	6	that	that	SCONJ
cana-5461	342	7	the	the	DET
cana-5461	342	8	solutions	solution	NOUN
cana-5461	342	9	have	have	VERB
cana-5461	342	10	similar	similar	ADJ
cana-5461	342	11	or	or	CCONJ
cana-5461	342	12	predictable	predictable	ADJ
cana-5461	342	13	behaviour	behaviour	NOUN
cana-5461	342	14	with	with	ADP
cana-5461	342	15	respect	respect	NOUN
cana-5461	342	16	to	to	ADP
cana-5461	342	17	one	one	NUM
cana-5461	342	18	another	another	DET
cana-5461	342	19	.	.	PUNCT
cana-5461	343	1	in	in	ADP
cana-5461	343	2	other	other	ADJ
cana-5461	343	3	words	word	NOUN
cana-5461	343	4	,	,	PUNCT
cana-5461	343	5	if	if	SCONJ
cana-5461	343	6	one	one	NUM
cana-5461	343	7	solution	solution	NOUN
cana-5461	343	8	is	be	AUX
cana-5461	343	9	controllable	controllable	ADJ
cana-5461	343	10	,	,	PUNCT
cana-5461	343	11	so	so	ADV
cana-5461	343	12	are	be	AUX
cana-5461	343	13	the	the	DET
cana-5461	343	14	remaining	remain	VERB
cana-5461	343	15	.	.	PUNCT
cana-5461	344	1	on	on	ADP
cana-5461	344	2	the	the	DET
cana-5461	344	3	other	other	ADJ
cana-5461	344	4	hand	hand	NOUN
cana-5461	344	5	,	,	PUNCT
cana-5461	344	6	if	if	SCONJ
cana-5461	344	7	one	one	NUM
cana-5461	344	8	of	of	ADP
cana-5461	344	9	the	the	DET
cana-5461	344	10	solutions	solution	NOUN
cana-5461	344	11	is	be	AUX
cana-5461	344	12	wild	wild	ADJ
cana-5461	344	13	,	,	PUNCT
cana-5461	344	14	the	the	DET
cana-5461	344	15	system	system	NOUN
cana-5461	344	16	as	as	ADP
cana-5461	344	17	a	a	DET
cana-5461	344	18	whole	whole	NOUN
cana-5461	344	19	may	may	AUX
cana-5461	344	20	be	be	AUX
cana-5461	344	21	regarded	regard	VERB
cana-5461	344	22	as	as	ADP
cana-5461	344	23	wild	wild	ADJ
cana-5461	344	24	.	.	PUNCT
cana-5461	345	1	first	first	ADV
cana-5461	345	2	,	,	PUNCT
cana-5461	345	3	we	we	PRON
cana-5461	345	4	start	start	VERB
cana-5461	345	5	with	with	ADP
cana-5461	345	6	the	the	DET
cana-5461	345	7	asymptotic	asymptotic	ADJ
cana-5461	345	8	nearness	nearness	NOUN
cana-5461	345	9	of	of	ADP
cana-5461	345	10	solutions	solution	NOUN
cana-5461	345	11	.	.	PUNCT
cana-5461	346	1	theorem	theorem	VERB
cana-5461	346	2	3.1	3.1	NUM
cana-5461	346	3	.	.	PUNCT
cana-5461	347	1	for	for	ADP
cana-5461	347	2	any	any	DET
cana-5461	347	3	pair	pair	NOUN
cana-5461	347	4	of	of	ADP
cana-5461	347	5	solutions	solution	NOUN
cana-5461	347	6	(	(	PUNCT
cana-5461	347	7	xi	xi	PROPN
cana-5461	347	8	,	,	PUNCT
cana-5461	347	9	yik	yik	PROPN
cana-5461	347	10	)	)	PUNCT
cana-5461	347	11	and	and	CCONJ
cana-5461	347	12	(	(	PUNCT
cana-5461	347	13	xi	xi	PROPN
cana-5461	347	14	,	,	PUNCT
cana-5461	347	15	yik	yik	PROPN
cana-5461	347	16	)	)	PUNCT
cana-5461	347	17	of	of	ADP
cana-5461	347	18	(	(	PUNCT
cana-5461	347	19	19	19	NUM
cana-5461	347	20	)	)	PUNCT
cana-5461	347	21	,	,	PUNCT
cana-5461	347	22	we	we	PRON
cana-5461	347	23	have	have	VERB
cana-5461	347	24	limt→∞	limt→∞	PROPN
cana-5461	347	25	|(xi	|(xi	NUM
cana-5461	347	26	,	,	PUNCT
cana-5461	347	27	yik)−	yik)−	PROPN
cana-5461	347	28	(	(	PUNCT
cana-5461	347	29	xi	xi	PROPN
cana-5461	347	30	,	,	PUNCT
cana-5461	347	31	yik)|	yik)|	PROPN
cana-5461	348	1	=	=	SYM
cana-5461	348	2	0	0	NUM
cana-5461	348	3	provided	provide	VERB
cana-5461	348	4	the	the	DET
cana-5461	348	5	response	response	NOUN
cana-5461	348	6	functions	function	NOUN
cana-5461	348	7	satisfy	satisfy	VERB
cana-5461	348	8	(	(	PUNCT
cana-5461	348	9	3	3	NUM
cana-5461	348	10	)	)	PUNCT
cana-5461	348	11	and	and	CCONJ
cana-5461	348	12	the	the	DET
cana-5461	348	13	parameters	parameter	NOUN
cana-5461	348	14	satisfy	satisfy	VERB
cana-5461	348	15	a	a	DET
cana-5461	348	16	=	=	PUNCT
cana-5461	348	17	min{a	min{a	NOUN
cana-5461	348	18	,	,	PUNCT
cana-5461	348	19	b	b	NOUN
cana-5461	348	20	}	}	PUNCT
cana-5461	348	21	>	>	X
cana-5461	348	22	0	0	NUM
cana-5461	348	23	,	,	PUNCT
cana-5461	348	24	where	where	SCONJ
cana-5461	348	25	a	a	DET
cana-5461	348	26	=	=	SYM
cana-5461	348	27	min	min	NOUN
cana-5461	348	28	{	{	PUNCT
cana-5461	348	29	ai	ai	VERB
cana-5461	348	30	−	−	PROPN
cana-5461	349	1	n∑	n∑	NOUN
cana-5461	350	1	j=1	j=1	PROPN
cana-5461	350	2	|bji|pi	|bji|pi	VERB
cana-5461	350	3	−	−	PROPN
cana-5461	350	4	ri∑	ri∑	PROPN
cana-5461	350	5	k=1	k=1	X
cana-5461	350	6	(	(	PUNCT
cana-5461	350	7	|ciik	|ciik	PROPN
cana-5461	350	8	|m2ik	|m2ik	PROPN
cana-5461	350	9	)	)	PUNCT
cana-5461	350	10	}	}	PUNCT
cana-5461	351	1	b	b	X
cana-5461	351	2	=	=	SYM
cana-5461	351	3	min	min	PROPN
cana-5461	351	4	{	{	PUNCT
cana-5461	351	5	cik	cik	PROPN
cana-5461	351	6	−	−	PROPN
cana-5461	351	7	ri∑	ri∑	PROPN
cana-5461	351	8	l=1	l=1	PROPN
cana-5461	351	9	|dil	|dil	PROPN
cana-5461	351	10	|qil	|qil	PROPN
cana-5461	351	11	−	−	PROPN
cana-5461	351	12	|ciik	|ciik	PROPN
cana-5461	351	13	|m1ik	|m1ik	X
cana-5461	351	14	}	}	PUNCT
cana-5461	351	15	,	,	PUNCT
cana-5461	351	16	for	for	ADP
cana-5461	351	17	i	i	PROPN
cana-5461	351	18	=	=	SYM
cana-5461	351	19	1	1	NUM
cana-5461	351	20	,	,	PUNCT
cana-5461	351	21	2	2	NUM
cana-5461	351	22	,	,	PUNCT
cana-5461	351	23	...	...	PUNCT
cana-5461	351	24	,	,	PUNCT
cana-5461	351	25	n	n	PROPN
cana-5461	351	26	and	and	CCONJ
cana-5461	351	27	k	k	PROPN
cana-5461	351	28	=	=	SYM
cana-5461	351	29	1	1	NUM
cana-5461	351	30	,	,	PUNCT
cana-5461	351	31	2	2	NUM
cana-5461	351	32	,	,	PUNCT
cana-5461	351	33	...	...	PUNCT
cana-5461	351	34	,	,	PUNCT
cana-5461	351	35	ri	ri	PROPN
cana-5461	351	36	.	.	PUNCT
cana-5461	352	1	(	(	PUNCT
cana-5461	352	2	21	21	NUM
cana-5461	352	3	)	)	PUNCT
cana-5461	352	4	proof	proof	NOUN
cana-5461	352	5	.	.	PUNCT
cana-5461	353	1	by	by	ADP
cana-5461	353	2	considering	consider	VERB
cana-5461	353	3	the	the	DET
cana-5461	353	4	functional	functional	ADJ
cana-5461	353	5	v	v	NOUN
cana-5461	353	6	(	(	PUNCT
cana-5461	353	7	t	t	NOUN
cana-5461	353	8	)	)	PUNCT
cana-5461	353	9	=	=	SYM
cana-5461	354	1	n∑	n∑	NOUN
cana-5461	354	2	i=1	i=1	PRON
cana-5461	355	1	[	[	PUNCT
cana-5461	355	2	|xi	|xi	X
cana-5461	355	3	−	−	PROPN
cana-5461	355	4	xi|+	xi|+	PROPN
cana-5461	355	5	n∑	n∑	PROPN
cana-5461	355	6	j=1	j=1	PROPN
cana-5461	355	7	|bij	|bij	VERB
cana-5461	355	8	|pj	|pj	NUM
cana-5461	355	9	∫	∫	PROPN
cana-5461	355	10	t	t	PROPN
cana-5461	355	11	t−τj	t−τj	NOUN
cana-5461	356	1	|xj(z)−	|xj(z)−	PROPN
cana-5461	356	2	xj(z)|dz	xj(z)|dz	PROPN
cana-5461	356	3	+	+	NUM
cana-5461	356	4	ri∑	ri∑	PROPN
cana-5461	356	5	k=1	k=1	X
cana-5461	356	6	|ciik	|ciik	PROPN
cana-5461	356	7	|m1ik	|m1ik	PROPN
cana-5461	356	8	∫	∫	PROPN
cana-5461	356	9	t	t	PROPN
cana-5461	356	10	t−ϑik	t−ϑik	VERB
cana-5461	356	11	|yik(z)−	|yik(z)−	X
cana-5461	356	12	yik(z)|dz	yik(z)|dz	PROPN
cana-5461	356	13	+	+	SYM
cana-5461	356	14	ri∑	ri∑	PROPN
cana-5461	356	15	k=1	k=1	X
cana-5461	356	16	[	[	PUNCT
cana-5461	356	17	|yik	|yik	PROPN
cana-5461	356	18	−	−	PROPN
cana-5461	356	19	yik	yik	PROPN
cana-5461	356	20	|+	|+	X
cana-5461	356	21	ri∑	ri∑	PROPN
cana-5461	356	22	l=1	l=1	PROPN
cana-5461	356	23	|dil	|dil	PROPN
cana-5461	356	24	|qil	|qil	PROPN
cana-5461	356	25	∫	∫	PROPN
cana-5461	356	26	t	t	PROPN
cana-5461	356	27	t−ζil	t−ζil	NOUN
cana-5461	356	28	|yil(z)−	|yil(z)−	PROPN
cana-5461	356	29	yil(z)|dz	yil(z)|dz	X
cana-5461	356	30	]	]	X
cana-5461	356	31	]	]	PUNCT
cana-5461	356	32	.	.	PUNCT
cana-5461	357	1	and	and	CCONJ
cana-5461	357	2	proceeding	proceed	VERB
cana-5461	357	3	as	as	ADP
cana-5461	357	4	in	in	ADP
cana-5461	357	5	theorem	theorem	ADJ
cana-5461	357	6	2.1	2.1	NUM
cana-5461	357	7	of	of	ADP
cana-5461	357	8	[	[	X
cana-5461	357	9	14	14	NUM
cana-5461	357	10	]	]	PUNCT
cana-5461	357	11	we	we	PRON
cana-5461	357	12	can	can	AUX
cana-5461	357	13	prove	prove	VERB
cana-5461	357	14	the	the	DET
cana-5461	357	15	result	result	NOUN
cana-5461	357	16	.	.	PUNCT
cana-5461	358	1	15	15	NUM
cana-5461	358	2	vol	vol	NOUN
cana-5461	358	3	32	32	NUM
cana-5461	358	4	no	no	NOUN
cana-5461	358	5	.	.	PUNCT
cana-5461	358	6	10s(2025	10s(2025	NUM
cana-5461	358	7	)	)	PUNCT
cana-5461	358	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	358	9	communications	communication	NOUN
cana-5461	358	10	on	on	ADP
cana-5461	358	11	applied	apply	VERB
cana-5461	358	12	nonlinear	nonlinear	ADJ
cana-5461	358	13	analysis	analysis	NOUN
cana-5461	358	14	issn:1074	issn:1074	NOUN
cana-5461	358	15	-	-	NOUN
cana-5461	358	16	133x	133x	NUM
cana-5461	358	17	2360	2360	NUM
cana-5461	358	18	now	now	ADV
cana-5461	358	19	we	we	PRON
cana-5461	358	20	will	will	AUX
cana-5461	358	21	obtain	obtain	VERB
cana-5461	358	22	conditions	condition	NOUN
cana-5461	358	23	for	for	SCONJ
cana-5461	358	24	the	the	DET
cana-5461	358	25	solutions	solution	NOUN
cana-5461	358	26	of	of	ADP
cana-5461	358	27	the	the	DET
cana-5461	358	28	system	system	NOUN
cana-5461	358	29	to	to	PART
cana-5461	358	30	be	be	AUX
cana-5461	358	31	bounded	bound	VERB
cana-5461	358	32	under	under	ADP
cana-5461	358	33	the	the	DET
cana-5461	358	34	conditions	condition	NOUN
cana-5461	358	35	of	of	ADP
cana-5461	358	36	theorem	theorem	NOUN
cana-5461	358	37	4.1	4.1	NUM
cana-5461	358	38	,	,	PUNCT
cana-5461	358	39	so	so	SCONJ
cana-5461	358	40	that	that	SCONJ
cana-5461	358	41	all	all	DET
cana-5461	358	42	the	the	DET
cana-5461	358	43	solutions	solution	NOUN
cana-5461	358	44	stay	stay	VERB
cana-5461	358	45	near	near	ADP
cana-5461	358	46	a	a	DET
cana-5461	358	47	bounded	bounded	ADJ
cana-5461	358	48	solution	solution	NOUN
cana-5461	358	49	and	and	CCONJ
cana-5461	358	50	hence	hence	ADV
cana-5461	358	51	,	,	PUNCT
cana-5461	358	52	we	we	PRON
cana-5461	358	53	may	may	AUX
cana-5461	358	54	predict	predict	VERB
cana-5461	358	55	the	the	DET
cana-5461	358	56	behaviour	behaviour	NOUN
cana-5461	358	57	of	of	ADP
cana-5461	358	58	the	the	DET
cana-5461	358	59	system	system	NOUN
cana-5461	358	60	.	.	PUNCT
cana-5461	359	1	theorem	theorem	ADJ
cana-5461	359	2	3.2	3.2	NUM
cana-5461	359	3	.	.	PUNCT
cana-5461	360	1	assume	assume	VERB
cana-5461	360	2	that	that	SCONJ
cana-5461	360	3	the	the	DET
cana-5461	360	4	parameters	parameter	NOUN
cana-5461	360	5	satisfy	satisfy	VERB
cana-5461	360	6	the	the	DET
cana-5461	360	7	condition	condition	NOUN
cana-5461	360	8	(	(	PUNCT
cana-5461	360	9	19	19	NUM
cana-5461	360	10	)	)	PUNCT
cana-5461	360	11	and	and	CCONJ
cana-5461	360	12	let	let	VERB
cana-5461	360	13	the	the	DET
cana-5461	360	14	response	response	NOUN
cana-5461	360	15	functions	function	NOUN
cana-5461	360	16	,	,	PUNCT
cana-5461	360	17	besides	besides	SCONJ
cana-5461	360	18	(	(	PUNCT
cana-5461	360	19	3	3	NUM
cana-5461	360	20	)	)	PUNCT
cana-5461	360	21	,	,	PUNCT
cana-5461	360	22	satisfy	satisfy	VERB
cana-5461	360	23	fi(0	fi(0	PROPN
cana-5461	360	24	)	)	PUNCT
cana-5461	360	25	=	=	SYM
cana-5461	360	26	0	0	NUM
cana-5461	360	27	,	,	PUNCT
cana-5461	360	28	gik(0	gik(0	NOUN
cana-5461	360	29	,	,	PUNCT
cana-5461	360	30	0	0	NUM
cana-5461	360	31	)	)	PUNCT
cana-5461	360	32	=	=	SYM
cana-5461	360	33	0	0	NUM
cana-5461	360	34	,	,	PUNCT
cana-5461	360	35	and	and	CCONJ
cana-5461	360	36	hil(0	hil(0	NOUN
cana-5461	360	37	)	)	PUNCT
cana-5461	361	1	=	=	SYM
cana-5461	361	2	0	0	PUNCT
cana-5461	362	1	for	for	ADP
cana-5461	362	2	i	i	PRON
cana-5461	362	3	=	=	NOUN
cana-5461	362	4	1	1	NUM
cana-5461	362	5	,	,	PUNCT
cana-5461	362	6	2	2	NUM
cana-5461	362	7	,	,	PUNCT
cana-5461	362	8	3	3	NUM
cana-5461	362	9	....	....	PUNCT
cana-5461	362	10	,	,	PUNCT
cana-5461	362	11	n	n	CCONJ
cana-5461	362	12	,	,	PUNCT
cana-5461	362	13	k	k	X
cana-5461	362	14	=	=	PUNCT
cana-5461	362	15	l	l	NOUN
cana-5461	362	16	=	=	SYM
cana-5461	362	17	1	1	NUM
cana-5461	362	18	,	,	PUNCT
cana-5461	362	19	2	2	NUM
cana-5461	362	20	,	,	PUNCT
cana-5461	362	21	3	3	NUM
cana-5461	362	22	....	....	PUNCT
cana-5461	362	23	,	,	PUNCT
cana-5461	362	24	ri	ri	PROPN
cana-5461	362	25	where	where	SCONJ
cana-5461	362	26	1	1	NUM
cana-5461	362	27	≤	≤	NUM
cana-5461	362	28	ri	ri	NOUN
cana-5461	362	29	.	.	PUNCT
cana-5461	362	30	further	far	ADV
cana-5461	362	31	if	if	SCONJ
cana-5461	362	32	the	the	DET
cana-5461	362	33	inputs	input	NOUN
cana-5461	362	34	satisfy	satisfy	VERB
cana-5461	362	35	∫∞	∫∞	NOUN
cana-5461	362	36	0	0	PUNCT
cana-5461	363	1	∑n	∑n	PROPN
cana-5461	364	1	i=1	i=1	PROPN
cana-5461	365	1	|ii(s)+∑ri	|ii(s)+∑ri	PROPN
cana-5461	365	2	k=1	k=1	PUNCT
cana-5461	366	1	jik(s)|ds	jik(s)|ds	PUNCT
cana-5461	366	2	<	<	X
cana-5461	366	3	∞	∞	PROPN
cana-5461	366	4	,	,	PUNCT
cana-5461	366	5	then	then	ADV
cana-5461	366	6	all	all	DET
cana-5461	366	7	the	the	DET
cana-5461	366	8	solutions	solution	NOUN
cana-5461	366	9	of	of	ADP
cana-5461	366	10	(	(	PUNCT
cana-5461	366	11	19	19	NUM
cana-5461	366	12	)	)	PUNCT
cana-5461	366	13	are	be	AUX
cana-5461	366	14	bounded	bound	VERB
cana-5461	366	15	.	.	PUNCT
cana-5461	367	1	proof	proof	NOUN
cana-5461	367	2	.	.	PUNCT
cana-5461	368	1	we	we	PRON
cana-5461	368	2	employ	employ	VERB
cana-5461	368	3	the	the	DET
cana-5461	368	4	functional	functional	ADJ
cana-5461	368	5	v	v	NOUN
cana-5461	368	6	(	(	PUNCT
cana-5461	368	7	t	t	NOUN
cana-5461	368	8	)	)	PUNCT
cana-5461	368	9	=	=	SYM
cana-5461	369	1	n∑	n∑	NOUN
cana-5461	369	2	i=1	i=1	X
cana-5461	370	1	[	[	PUNCT
cana-5461	370	2	|xi(t)|+	|xi(t)|+	NOUN
cana-5461	370	3	n∑	n∑	NOUN
cana-5461	370	4	j=1	j=1	PROPN
cana-5461	370	5	|bij	|bij	PUNCT
cana-5461	370	6	|	|	ADV
cana-5461	370	7	∫	∫	PROPN
cana-5461	370	8	t	t	PROPN
cana-5461	370	9	t−τj	t−τj	NOUN
cana-5461	370	10	|fj(xj(z))|dz	|fj(xj(z))|dz	PROPN
cana-5461	370	11	+	+	CCONJ
cana-5461	370	12	ri∑	ri∑	PROPN
cana-5461	370	13	k=1	k=1	PROPN
cana-5461	370	14	|ciik	|ciik	PROPN
cana-5461	370	15	|	|	ADV
cana-5461	370	16	∫	∫	PROPN
cana-5461	370	17	t	t	PROPN
cana-5461	370	18	t−ϑik	t−ϑik	VERB
cana-5461	370	19	|gik(yik(z))|dz	|gik(yik(z))|dz	PROPN
cana-5461	370	20	+	+	CCONJ
cana-5461	370	21	ri∑	ri∑	PROPN
cana-5461	370	22	k=1	k=1	X
cana-5461	370	23	[	[	PUNCT
cana-5461	370	24	|yik(t)|+	|yik(t)|+	NOUN
cana-5461	370	25	ri∑	ri∑	NOUN
cana-5461	370	26	l=1	l=1	PROPN
cana-5461	370	27	|dil	|dil	PUNCT
cana-5461	370	28	|	|	CCONJ
cana-5461	370	29	∫	∫	PROPN
cana-5461	370	30	t	t	PROPN
cana-5461	370	31	t−ζil	t−ζil	NOUN
cana-5461	370	32	hil	hil	PROPN
cana-5461	370	33	|yil(z)|dz	|yil(z)|dz	PROPN
cana-5461	371	1	]	]	X
cana-5461	371	2	]	]	PUNCT
cana-5461	371	3	doing	do	VERB
cana-5461	371	4	the	the	DET
cana-5461	371	5	upper	upper	ADJ
cana-5461	371	6	dini	dini	NOUN
cana-5461	371	7	derivative	derivative	NOUN
cana-5461	371	8	of	of	ADP
cana-5461	371	9	v	v	NOUN
cana-5461	371	10	along	along	ADP
cana-5461	371	11	the	the	DET
cana-5461	371	12	solutions	solution	NOUN
cana-5461	371	13	of	of	ADP
cana-5461	371	14	(	(	PUNCT
cana-5461	371	15	19	19	NUM
cana-5461	371	16	)	)	PUNCT
cana-5461	371	17	and	and	CCONJ
cana-5461	371	18	rearranging	rearrange	VERB
cana-5461	371	19	the	the	DET
cana-5461	371	20	terms	term	NOUN
cana-5461	371	21	after	after	ADP
cana-5461	371	22	using	use	VERB
cana-5461	371	23	conditions(3	conditions(3	NOUN
cana-5461	371	24	)	)	PUNCT
cana-5461	371	25	,	,	PUNCT
cana-5461	371	26	we	we	PRON
cana-5461	371	27	get	get	VERB
cana-5461	371	28	d+v	d+v	PROPN
cana-5461	371	29	(	(	PUNCT
cana-5461	371	30	t	t	NOUN
cana-5461	371	31	)	)	PUNCT
cana-5461	371	32	≤	≤	NOUN
cana-5461	372	1	−	−	ADP
cana-5461	373	1	n∑	n∑	NOUN
cana-5461	373	2	i=1	i=1	X
cana-5461	374	1	[	[	X
cana-5461	374	2	[	[	PUNCT
cana-5461	374	3	ai	ai	INTJ
cana-5461	374	4	−	−	PROPN
cana-5461	374	5	n∑	n∑	NOUN
cana-5461	375	1	j=1	j=1	PROPN
cana-5461	375	2	|bji|pi	|bji|pi	VERB
cana-5461	375	3	−	−	PROPN
cana-5461	375	4	ri∑	ri∑	PROPN
cana-5461	375	5	k=1	k=1	X
cana-5461	375	6	(	(	PUNCT
cana-5461	375	7	|ciik	|ciik	PROPN
cana-5461	375	8	|m2ik	|m2ik	PROPN
cana-5461	375	9	)	)	PUNCT
cana-5461	375	10	]	]	PUNCT
cana-5461	376	1	|xi|	|xi|	PROPN
cana-5461	376	2	+	+	SYM
cana-5461	376	3	ri∑	ri∑	X
cana-5461	376	4	k=1	k=1	X
cana-5461	377	1	[	[	PUNCT
cana-5461	377	2	cik	cik	PROPN
cana-5461	377	3	−	−	PROPN
cana-5461	377	4	ri∑	ri∑	PROPN
cana-5461	377	5	l=1	l=1	PROPN
cana-5461	377	6	|dil	|dil	PROPN
cana-5461	377	7	|qil	|qil	PROPN
cana-5461	377	8	−	−	PROPN
cana-5461	377	9	|ciik	|ciik	PROPN
cana-5461	377	10	|m1ik	|m1ik	X
cana-5461	377	11	]	]	PUNCT
cana-5461	377	12	|yil	|yil	PROPN
cana-5461	377	13	|	|	ADV
cana-5461	377	14	]	]	PUNCT
cana-5461	377	15	≤	≤	NUM
cana-5461	378	1	−a	−a	NOUN
cana-5461	378	2	n∑	n∑	PROPN
cana-5461	378	3	i=1	i=1	X
cana-5461	379	1	[	[	PUNCT
cana-5461	379	2	|xi(t)|+	|xi(t)|+	NUM
cana-5461	379	3	ri∑	ri∑	NOUN
cana-5461	379	4	k=1	k=1	PROPN
cana-5461	379	5	|yik(t)|	|yik(t)|	NOUN
cana-5461	379	6	]	]	PUNCT
cana-5461	380	1	+	+	CCONJ
cana-5461	381	1	n∑	n∑	ADJ
cana-5461	381	2	i=1	i=1	X
cana-5461	382	1	[	[	PUNCT
cana-5461	382	2	|ii(t	|ii(t	NOUN
cana-5461	382	3	)	)	PUNCT
cana-5461	382	4	+	+	NUM
cana-5461	382	5	ri∑	ri∑	X
cana-5461	382	6	k=1	k=1	X
cana-5461	383	1	jik(t)|	jik(t)|	X
cana-5461	383	2	]	]	PUNCT
cana-5461	383	3	.	.	PUNCT
cana-5461	384	1	integrating	integrate	VERB
cana-5461	384	2	on	on	ADP
cana-5461	384	3	both	both	DET
cana-5461	384	4	sides	side	NOUN
cana-5461	384	5	from	from	ADP
cana-5461	384	6	0	0	NUM
cana-5461	384	7	to	to	ADP
cana-5461	384	8	t	t	PROPN
cana-5461	384	9	,	,	PUNCT
cana-5461	384	10	we	we	PRON
cana-5461	384	11	get	get	VERB
cana-5461	384	12	v	v	ADP
cana-5461	384	13	(	(	PUNCT
cana-5461	384	14	t	t	NOUN
cana-5461	384	15	)	)	PUNCT
cana-5461	385	1	+	+	ADP
cana-5461	385	2	a	a	DET
cana-5461	385	3	∫	∫	PROPN
cana-5461	385	4	t	t	NOUN
cana-5461	385	5	0	0	NUM
cana-5461	386	1	n∑	n∑	NOUN
cana-5461	386	2	i=1	i=1	PROPN
cana-5461	387	1	[	[	PUNCT
cana-5461	387	2	|xi(s)|+	|xi(s)|+	ADP
cana-5461	387	3	ri∑	ri∑	PROPN
cana-5461	387	4	k=1	k=1	PROPN
cana-5461	387	5	|yik(s)|	|yik(s)|	PROPN
cana-5461	387	6	]	]	PUNCT
cana-5461	387	7	≤	≤	NUM
cana-5461	387	8	v	v	X
cana-5461	387	9	(	(	PUNCT
cana-5461	387	10	0	0	NUM
cana-5461	387	11	)	)	PUNCT
cana-5461	388	1	+	+	CCONJ
cana-5461	389	1	∫	∫	PROPN
cana-5461	389	2	t	t	PROPN
cana-5461	389	3	0	0	NUM
cana-5461	390	1	n∑	n∑	NOUN
cana-5461	390	2	i=1	i=1	X
cana-5461	390	3	|ii(s	|ii(s	PUNCT
cana-5461	390	4	)	)	PUNCT
cana-5461	391	1	+	+	CCONJ
cana-5461	391	2	ri∑	ri∑	X
cana-5461	391	3	k=1	k=1	PROPN
cana-5461	391	4	jik(s)|ds	jik(s)|ds	PROPN
cana-5461	391	5	.	.	PROPN
cana-5461	392	1	from	from	ADP
cana-5461	392	2	our	our	PRON
cana-5461	392	3	assumptions	assumption	NOUN
cana-5461	392	4	on	on	ADP
cana-5461	392	5	the	the	DET
cana-5461	392	6	inputs	input	NOUN
cana-5461	392	7	and	and	CCONJ
cana-5461	392	8	parameters	parameter	NOUN
cana-5461	392	9	,	,	PUNCT
cana-5461	392	10	it	it	PRON
cana-5461	392	11	is	be	AUX
cana-5461	392	12	easy	easy	ADJ
cana-5461	392	13	to	to	PART
cana-5461	392	14	see	see	VERB
cana-5461	392	15	that	that	DET
cana-5461	392	16	v	v	NOUN
cana-5461	392	17	(	(	PUNCT
cana-5461	392	18	t	t	PROPN
cana-5461	392	19	)	)	PUNCT
cana-5461	392	20	,	,	PUNCT
cana-5461	392	21	xi	xi	PROPN
cana-5461	392	22	’s	’s	PART
cana-5461	393	1	and	and	CCONJ
cana-5461	393	2	yik	yik	PROPN
cana-5461	393	3	’s	’	VERB
cana-5461	393	4	are	be	AUX
cana-5461	393	5	bounded	bound	VERB
cana-5461	393	6	(	(	PUNCT
cana-5461	393	7	see	see	VERB
cana-5461	393	8	[	[	X
cana-5461	393	9	20	20	NUM
cana-5461	393	10	]	]	PUNCT
cana-5461	393	11	,	,	PUNCT
cana-5461	393	12	for	for	ADP
cana-5461	393	13	argument	argument	NOUN
cana-5461	393	14	)	)	PUNCT
cana-5461	393	15	.	.	PUNCT
cana-5461	394	1	thus	thus	ADV
cana-5461	394	2	,	,	PUNCT
cana-5461	394	3	the	the	DET
cana-5461	394	4	solutions	solution	NOUN
cana-5461	394	5	of	of	ADP
cana-5461	394	6	(	(	PUNCT
cana-5461	394	7	19	19	NUM
cana-5461	394	8	)	)	PUNCT
cana-5461	394	9	are	be	AUX
cana-5461	394	10	bounded	bound	VERB
cana-5461	394	11	.	.	PUNCT
cana-5461	395	1	remark	remark	PROPN
cana-5461	395	2	3.3	3.3	NUM
cana-5461	395	3	.	.	PUNCT
cana-5461	396	1	from	from	ADP
cana-5461	396	2	theorem	theorem	ADJ
cana-5461	396	3	3.1	3.1	NUM
cana-5461	396	4	and	and	CCONJ
cana-5461	396	5	theorem	theorem	VERB
cana-5461	396	6	3.2	3.2	NUM
cana-5461	396	7	,	,	PUNCT
cana-5461	396	8	it	it	PRON
cana-5461	396	9	is	be	AUX
cana-5461	396	10	clear	clear	ADJ
cana-5461	396	11	that	that	SCONJ
cana-5461	396	12	the	the	DET
cana-5461	396	13	solutions	solution	NOUN
cana-5461	396	14	of	of	ADP
cana-5461	396	15	the	the	DET
cana-5461	396	16	system	system	NOUN
cana-5461	396	17	(	(	PUNCT
cana-5461	396	18	19	19	NUM
cana-5461	396	19	)	)	PUNCT
cana-5461	396	20	are	be	AUX
cana-5461	396	21	near	near	ADJ
cana-5461	396	22	to	to	ADP
cana-5461	396	23	each	each	DET
cana-5461	396	24	other	other	ADJ
cana-5461	396	25	and	and	CCONJ
cana-5461	396	26	bounded	bound	VERB
cana-5461	396	27	,	,	PUNCT
cana-5461	396	28	so	so	CCONJ
cana-5461	396	29	the	the	DET
cana-5461	396	30	system	system	NOUN
cana-5461	396	31	is	be	AUX
cana-5461	396	32	well	well	ADV
cana-5461	396	33	behaved	behave	VERB
cana-5461	396	34	and	and	CCONJ
cana-5461	396	35	under	under	ADP
cana-5461	396	36	control	control	NOUN
cana-5461	396	37	(	(	PUNCT
cana-5461	396	38	i.e	i.e	X
cana-5461	396	39	,	,	PUNCT
cana-5461	396	40	as	as	SCONJ
cana-5461	396	41	the	the	DET
cana-5461	396	42	input	input	NOUN
cana-5461	396	43	varies	vary	VERB
cana-5461	396	44	the	the	DET
cana-5461	396	45	response	response	NOUN
cana-5461	396	46	to	to	ADP
cana-5461	396	47	emotion	emotion	NOUN
cana-5461	396	48	will	will	AUX
cana-5461	396	49	not	not	PART
cana-5461	396	50	differ	differ	VERB
cana-5461	396	51	drastically	drastically	ADV
cana-5461	396	52	)	)	PUNCT
cana-5461	396	53	.	.	PUNCT
cana-5461	397	1	the	the	DET
cana-5461	397	2	effectiveness	effectiveness	NOUN
cana-5461	397	3	of	of	ADP
cana-5461	397	4	the	the	DET
cana-5461	397	5	above	above	ADJ
cana-5461	397	6	result	result	NOUN
cana-5461	397	7	can	can	AUX
cana-5461	397	8	be	be	AUX
cana-5461	397	9	shown	show	VERB
cana-5461	397	10	through	through	ADP
cana-5461	397	11	the	the	DET
cana-5461	397	12	following	following	ADJ
cana-5461	397	13	example	example	NOUN
cana-5461	397	14	16	16	NUM
cana-5461	397	15	vol	vol	NOUN
cana-5461	397	16	32	32	NUM
cana-5461	397	17	no	no	NOUN
cana-5461	397	18	.	.	PUNCT
cana-5461	398	1	10s(2025	10s(2025	NUM
cana-5461	398	2	)	)	PUNCT
cana-5461	398	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	398	4	communications	communication	NOUN
cana-5461	398	5	on	on	ADP
cana-5461	398	6	applied	apply	VERB
cana-5461	398	7	nonlinear	nonlinear	ADJ
cana-5461	398	8	analysis	analysis	NOUN
cana-5461	398	9	issn:1074	issn:1074	NOUN
cana-5461	398	10	-	-	NOUN
cana-5461	398	11	133x	133x	ADJ
cana-5461	398	12	2361	2361	NUM
cana-5461	398	13	example	example	NOUN
cana-5461	398	14	3.4	3.4	NUM
cana-5461	398	15	.	.	PUNCT
cana-5461	399	1	x	x	SYM
cana-5461	399	2	′	′	NOUN
cana-5461	399	3	1	1	NUM
cana-5461	399	4	=	=	SYM
cana-5461	399	5	−1.65x1	−1.65x1	ADJ
cana-5461	399	6	+	+	CCONJ
cana-5461	399	7	0.21f1(x1(t−	0.21f1(x1(t−	NOUN
cana-5461	399	8	τ1	τ1	NOUN
cana-5461	399	9	)	)	PUNCT
cana-5461	399	10	)	)	PUNCT
cana-5461	400	1	+	+	CCONJ
cana-5461	400	2	0.29f2(x2(t−	0.29f2(x2(t−	PRON
cana-5461	400	3	τ2	τ2	NOUN
cana-5461	400	4	)	)	PUNCT
cana-5461	400	5	)	)	PUNCT
cana-5461	401	1	+	+	CCONJ
cana-5461	401	2	0.25g11(x1	0.25g11(x1	NOUN
cana-5461	401	3	,	,	PUNCT
cana-5461	401	4	y11(t−	y11(t−	PROPN
cana-5461	401	5	ϑ11	ϑ11	NOUN
cana-5461	401	6	)	)	PUNCT
cana-5461	401	7	)	)	PUNCT
cana-5461	402	1	+	+	CCONJ
cana-5461	402	2	0.4g12(x1	0.4g12(x1	NUM
cana-5461	402	3	,	,	PUNCT
cana-5461	402	4	y12(t−	y12(t−	ADV
cana-5461	402	5	ϑ12	ϑ12	ADJ
cana-5461	402	6	)	)	PUNCT
cana-5461	402	7	)	)	PUNCT
cana-5461	403	1	+	+	CCONJ
cana-5461	403	2	i1(t	i1(t	X
cana-5461	403	3	)	)	PUNCT
cana-5461	403	4	x	x	SYM
cana-5461	403	5	′	′	NOUN
cana-5461	403	6	2	2	NUM
cana-5461	403	7	=	=	SYM
cana-5461	403	8	−2.38x2	−2.38x2	X
cana-5461	404	1	+	+	CCONJ
cana-5461	404	2	0.5f1(x1(t−	0.5f1(x1(t−	PROPN
cana-5461	404	3	τ1	τ1	NOUN
cana-5461	404	4	)	)	PUNCT
cana-5461	404	5	)	)	PUNCT
cana-5461	405	1	+	+	CCONJ
cana-5461	405	2	0.2f2(x2(t−	0.2f2(x2(t−	NUM
cana-5461	405	3	τ2	τ2	NOUN
cana-5461	405	4	)	)	PUNCT
cana-5461	405	5	)	)	PUNCT
cana-5461	406	1	+	+	CCONJ
cana-5461	406	2	0.3g21(x2	0.3g21(x2	NOUN
cana-5461	406	3	,	,	PUNCT
cana-5461	406	4	y21(t−	y21(t−	PROPN
cana-5461	406	5	ϑ21	ϑ21	PROPN
cana-5461	406	6	)	)	PUNCT
cana-5461	406	7	)	)	PUNCT
cana-5461	407	1	+	+	CCONJ
cana-5461	407	2	0.24g22(x2	0.24g22(x2	NOUN
cana-5461	407	3	,	,	PUNCT
cana-5461	407	4	y22(t−	y22(t−	PROPN
cana-5461	407	5	ϑ22	ϑ22	ADJ
cana-5461	407	6	)	)	PUNCT
cana-5461	407	7	)	)	PUNCT
cana-5461	408	1	+	+	CCONJ
cana-5461	408	2	i2(t	i2(t	X
cana-5461	408	3	)	)	PUNCT
cana-5461	408	4	y	y	PROPN
cana-5461	408	5	′	′	NUM
cana-5461	408	6	11	11	NUM
cana-5461	408	7	=	=	SYM
cana-5461	408	8	−2y11	−2y11	PROPN
cana-5461	408	9	+	+	CCONJ
cana-5461	408	10	0.19h11(y11(t−	0.19h11(y11(t−	PROPN
cana-5461	408	11	ζ11	ζ11	NOUN
cana-5461	408	12	)	)	PUNCT
cana-5461	408	13	)	)	PUNCT
cana-5461	409	1	+	+	CCONJ
cana-5461	409	2	0.3h12(y12(t−	0.3h12(y12(t−	NUM
cana-5461	409	3	ζ12	ζ12	NOUN
cana-5461	409	4	)	)	PUNCT
cana-5461	409	5	)	)	PUNCT
cana-5461	410	1	+	+	CCONJ
cana-5461	410	2	j11(t	j11(t	X
cana-5461	410	3	)	)	PUNCT
cana-5461	410	4	y	y	PROPN
cana-5461	410	5	′	′	NOUN
cana-5461	410	6	12	12	NUM
cana-5461	410	7	=	=	SYM
cana-5461	410	8	−2.4y12	−2.4y12	PROPN
cana-5461	410	9	+	+	CCONJ
cana-5461	411	1	0.27h11(y11(t−	0.27h11(y11(t−	PROPN
cana-5461	412	1	ζ11	ζ11	NOUN
cana-5461	412	2	)	)	PUNCT
cana-5461	412	3	)	)	PUNCT
cana-5461	413	1	+	+	CCONJ
cana-5461	413	2	0.3h12(y12(t−	0.3h12(y12(t−	NUM
cana-5461	413	3	ζ12	ζ12	NOUN
cana-5461	413	4	)	)	PUNCT
cana-5461	413	5	)	)	PUNCT
cana-5461	414	1	+	+	CCONJ
cana-5461	414	2	j12(t	j12(t	X
cana-5461	414	3	)	)	PUNCT
cana-5461	414	4	y	y	PROPN
cana-5461	414	5	′	′	NUM
cana-5461	414	6	21	21	NUM
cana-5461	414	7	=	=	SYM
cana-5461	414	8	−2.8y21	−2.8y21	PROPN
cana-5461	414	9	+	+	CCONJ
cana-5461	414	10	1.5h21(y21(t−	1.5h21(y21(t−	NUM
cana-5461	414	11	ζ21	ζ21	VERB
cana-5461	414	12	)	)	PUNCT
cana-5461	414	13	)	)	PUNCT
cana-5461	414	14	)	)	PUNCT
cana-5461	415	1	+	+	CCONJ
cana-5461	415	2	0.2h22(y22(t−	0.2h22(y22(t−	NUM
cana-5461	415	3	ζ22	ζ22	NOUN
cana-5461	415	4	)	)	PUNCT
cana-5461	415	5	)	)	PUNCT
cana-5461	416	1	+	+	CCONJ
cana-5461	416	2	j21(t	j21(t	X
cana-5461	416	3	)	)	PUNCT
cana-5461	417	1	y	y	PROPN
cana-5461	417	2	′	′	NUM
cana-5461	417	3	22	22	NUM
cana-5461	418	1	=	=	SYM
cana-5461	418	2	−1.8y22	−1.8y22	PROPN
cana-5461	418	3	+	+	NUM
cana-5461	418	4	0.5h21(y21(t−	0.5h21(y21(t−	ADJ
cana-5461	418	5	ζ21	ζ21	VERB
cana-5461	418	6	)	)	PUNCT
cana-5461	418	7	)	)	PUNCT
cana-5461	419	1	+	+	CCONJ
cana-5461	419	2	0.12h22(y22(t−	0.12h22(y22(t−	PROPN
cana-5461	419	3	ζ22	ζ22	NOUN
cana-5461	419	4	)	)	PUNCT
cana-5461	419	5	)	)	PUNCT
cana-5461	420	1	+	+	CCONJ
cana-5461	420	2	j22(t	j22(t	NOUN
cana-5461	420	3	)	)	PUNCT
cana-5461	420	4	(	(	PUNCT
cana-5461	420	5	22	22	NUM
cana-5461	420	6	)	)	PUNCT
cana-5461	420	7	choose	choose	VERB
cana-5461	420	8	the	the	DET
cana-5461	420	9	response	response	NOUN
cana-5461	420	10	function	function	NOUN
cana-5461	420	11	as	as	ADP
cana-5461	420	12	fi(xi	fi(xi	PROPN
cana-5461	420	13	)	)	PUNCT
cana-5461	420	14	=	=	SYM
cana-5461	420	15	tanh(xi	tanh(xi	PROPN
cana-5461	420	16	)	)	PUNCT
cana-5461	420	17	,	,	PUNCT
cana-5461	420	18	hil(yil	hil(yil	NOUN
cana-5461	420	19	)	)	PUNCT
cana-5461	421	1	=	=	SYM
cana-5461	421	2	tanh(yil	tanh(yil	NOUN
cana-5461	421	3	)	)	PUNCT
cana-5461	421	4	and	and	CCONJ
cana-5461	421	5	gik(xi	gik(xi	PROPN
cana-5461	421	6	,	,	PUNCT
cana-5461	421	7	yik	yik	PROPN
cana-5461	421	8	)	)	PUNCT
cana-5461	421	9	=	=	PUNCT
cana-5461	421	10	xi	xi	PROPN
cana-5461	421	11	+	+	CCONJ
cana-5461	421	12	yik	yik	PROPN
cana-5461	421	13	.	.	PUNCT
cana-5461	422	1	for	for	ADP
cana-5461	422	2	this	this	DET
cana-5461	422	3	choice	choice	NOUN
cana-5461	422	4	of	of	ADP
cana-5461	422	5	the	the	DET
cana-5461	422	6	functions	function	NOUN
cana-5461	422	7	,	,	PUNCT
cana-5461	422	8	we	we	PRON
cana-5461	422	9	have	have	VERB
cana-5461	422	10	pj	pj	PROPN
cana-5461	422	11	=	=	SYM
cana-5461	422	12	qil	qil	PROPN
cana-5461	422	13	=	=	SYM
cana-5461	422	14	m1ik	m1ik	NOUN
cana-5461	422	15	=	=	PUNCT
cana-5461	422	16	m2ik	m2ik	PUNCT
cana-5461	422	17	=	=	SYM
cana-5461	422	18	1	1	NUM
cana-5461	422	19	,	,	PUNCT
cana-5461	422	20	&	&	CCONJ
cana-5461	422	21	we	we	PRON
cana-5461	422	22	choose	choose	VERB
cana-5461	422	23	the	the	DET
cana-5461	422	24	delays	delay	NOUN
cana-5461	422	25	as	as	ADP
cana-5461	422	26	τi	τi	VERB
cana-5461	422	27	=	=	PUNCT
cana-5461	422	28	ϑik	ϑik	VERB
cana-5461	422	29	=	=	PUNCT
cana-5461	422	30	ζik	ζik	NOUN
cana-5461	422	31	=	=	SYM
cana-5461	422	32	1	1	NUM
cana-5461	422	33	for	for	ADP
cana-5461	422	34	i	i	PRON
cana-5461	422	35	=	=	NOUN
cana-5461	422	36	1	1	NUM
cana-5461	422	37	,	,	PUNCT
cana-5461	422	38	2	2	NUM
cana-5461	422	39	,	,	PUNCT
cana-5461	422	40	k	k	NOUN
cana-5461	422	41	=	=	SYM
cana-5461	422	42	1	1	NUM
cana-5461	422	43	,	,	PUNCT
cana-5461	422	44	2	2	NUM
cana-5461	422	45	.	.	PUNCT
cana-5461	422	46	clearly	clearly	ADV
cana-5461	422	47	all	all	DET
cana-5461	422	48	the	the	DET
cana-5461	422	49	parametric	parametric	ADJ
cana-5461	422	50	conditions	condition	NOUN
cana-5461	422	51	of	of	ADP
cana-5461	422	52	theorem	theorem	ADJ
cana-5461	422	53	3.1	3.1	NUM
cana-5461	422	54	and	and	CCONJ
cana-5461	422	55	theorem	theorem	VERB
cana-5461	422	56	3.2	3.2	NUM
cana-5461	422	57	are	be	AUX
cana-5461	422	58	satisfied	satisfied	ADJ
cana-5461	422	59	and	and	CCONJ
cana-5461	422	60	we	we	PRON
cana-5461	422	61	choose	choose	VERB
cana-5461	422	62	exogenous	exogenous	ADJ
cana-5461	422	63	varying	vary	VERB
cana-5461	422	64	inputs	input	NOUN
cana-5461	422	65	ii(t	ii(t	NOUN
cana-5461	422	66	)	)	PUNCT
cana-5461	422	67	and	and	CCONJ
cana-5461	422	68	jik	jik	PROPN
cana-5461	422	69	in	in	ADP
cana-5461	422	70	such	such	DET
cana-5461	422	71	a	a	DET
cana-5461	422	72	way	way	NOUN
cana-5461	422	73	that	that	PRON
cana-5461	422	74	they	they	PRON
cana-5461	422	75	are	be	AUX
cana-5461	422	76	bounded	bound	VERB
cana-5461	422	77	,	,	PUNCT
cana-5461	422	78	then	then	ADV
cana-5461	422	79	the	the	DET
cana-5461	422	80	simulations	simulation	NOUN
cana-5461	422	81	of	of	ADP
cana-5461	422	82	the	the	DET
cana-5461	422	83	system	system	NOUN
cana-5461	422	84	(	(	PUNCT
cana-5461	422	85	22	22	NUM
cana-5461	422	86	)	)	PUNCT
cana-5461	422	87	with	with	ADP
cana-5461	422	88	different	different	ADJ
cana-5461	422	89	choices	choice	NOUN
cana-5461	422	90	of	of	ADP
cana-5461	422	91	input	input	NOUN
cana-5461	422	92	functions	function	NOUN
cana-5461	422	93	is	be	AUX
cana-5461	422	94	as	as	SCONJ
cana-5461	422	95	follows	follow	VERB
cana-5461	422	96	figure	figure	VERB
cana-5461	422	97	3	3	NUM
cana-5461	422	98	(	(	PUNCT
cana-5461	422	99	a	a	NOUN
cana-5461	422	100	)	)	PUNCT
cana-5461	422	101	shows	show	VERB
cana-5461	422	102	the	the	DET
cana-5461	422	103	simulations	simulation	NOUN
cana-5461	422	104	when	when	SCONJ
cana-5461	422	105	we	we	PRON
cana-5461	422	106	take	take	VERB
cana-5461	422	107	ii(t	ii(t	NOUN
cana-5461	422	108	)	)	PUNCT
cana-5461	423	1	=	=	SYM
cana-5461	423	2	ii−	ii−	NUM
cana-5461	423	3	1	1	NUM
cana-5461	423	4	1	1	NUM
cana-5461	423	5	+	+	CCONJ
cana-5461	423	6	t2	t2	PROPN
cana-5461	423	7	and	and	CCONJ
cana-5461	423	8	jik(xi	jik(xi	NOUN
cana-5461	423	9	)	)	PUNCT
cana-5461	423	10	=	=	PUNCT
cana-5461	424	1	jik	jik	PROPN
cana-5461	424	2	−	−	PROPN
cana-5461	424	3	e−t	e−t	NOUN
cana-5461	424	4	(	(	PUNCT
cana-5461	424	5	increasing	increase	VERB
cana-5461	424	6	functions	function	NOUN
cana-5461	424	7	)	)	PUNCT
cana-5461	424	8	,	,	PUNCT
cana-5461	424	9	where	where	SCONJ
cana-5461	424	10	ii	ii	NOUN
cana-5461	424	11	=	=	SYM
cana-5461	424	12	1	1	NUM
cana-5461	424	13	and	and	CCONJ
cana-5461	424	14	jik	jik	PROPN
cana-5461	424	15	=	=	SYM
cana-5461	424	16	1	1	X
cana-5461	424	17	.	.	PUNCT
cana-5461	425	1	and	and	CCONJ
cana-5461	425	2	figure	figure	VERB
cana-5461	425	3	3	3	NUM
cana-5461	425	4	(	(	PUNCT
cana-5461	425	5	b	b	NOUN
cana-5461	425	6	)	)	PUNCT
cana-5461	425	7	shows	show	VERB
cana-5461	425	8	the	the	DET
cana-5461	425	9	simulations	simulation	NOUN
cana-5461	425	10	when	when	SCONJ
cana-5461	425	11	we	we	PRON
cana-5461	425	12	take	take	VERB
cana-5461	425	13	ii(t	ii(t	NOUN
cana-5461	425	14	)	)	PUNCT
cana-5461	426	1	=	=	SYM
cana-5461	426	2	ii	ii	NOUN
cana-5461	426	3	+	+	CCONJ
cana-5461	426	4	1	1	NUM
cana-5461	426	5	1	1	NUM
cana-5461	426	6	+	+	CCONJ
cana-5461	426	7	t2	t2	PROPN
cana-5461	426	8	and	and	CCONJ
cana-5461	426	9	jik(xi	jik(xi	NOUN
cana-5461	426	10	)	)	PUNCT
cana-5461	426	11	=	=	PUNCT
cana-5461	427	1	jik	jik	PROPN
cana-5461	427	2	+	+	CCONJ
cana-5461	427	3	e−t	e−t	NOUN
cana-5461	427	4	(	(	PUNCT
cana-5461	427	5	decreasing	decrease	VERB
cana-5461	427	6	functions	function	NOUN
cana-5461	427	7	)	)	PUNCT
cana-5461	427	8	,	,	PUNCT
cana-5461	427	9	where	where	SCONJ
cana-5461	427	10	ii	ii	NOUN
cana-5461	427	11	=	=	SYM
cana-5461	427	12	1	1	NUM
cana-5461	427	13	and	and	CCONJ
cana-5461	427	14	jik	jik	PROPN
cana-5461	427	15	=	=	SYM
cana-5461	427	16	1	1	NUM
cana-5461	427	17	(	(	PUNCT
cana-5461	427	18	a	a	NOUN
cana-5461	427	19	)	)	PUNCT
cana-5461	427	20	(	(	PUNCT
cana-5461	427	21	b	b	X
cana-5461	427	22	)	)	PUNCT
cana-5461	427	23	figure	figure	NOUN
cana-5461	427	24	3	3	NUM
cana-5461	427	25	remark	remark	NOUN
cana-5461	427	26	3.5	3.5	NUM
cana-5461	427	27	.	.	PUNCT
cana-5461	428	1	we	we	PRON
cana-5461	428	2	can	can	AUX
cana-5461	428	3	observe	observe	VERB
cana-5461	428	4	that	that	SCONJ
cana-5461	428	5	both	both	CCONJ
cana-5461	428	6	the	the	DET
cana-5461	428	7	solutions	solution	NOUN
cana-5461	428	8	of	of	ADP
cana-5461	428	9	figure	figure	NOUN
cana-5461	428	10	3	3	NUM
cana-5461	428	11	(	(	PUNCT
cana-5461	428	12	a	a	NOUN
cana-5461	428	13	)	)	PUNCT
cana-5461	428	14	and	and	CCONJ
cana-5461	428	15	figure	figure	VERB
cana-5461	428	16	3	3	NUM
cana-5461	428	17	(	(	PUNCT
cana-5461	428	18	b	b	NOUN
cana-5461	428	19	)	)	PUNCT
cana-5461	428	20	are	be	AUX
cana-5461	428	21	converging	converge	VERB
cana-5461	428	22	.	.	PUNCT
cana-5461	429	1	but	but	CCONJ
cana-5461	429	2	we	we	PRON
cana-5461	429	3	have	have	AUX
cana-5461	429	4	noticed	notice	VERB
cana-5461	429	5	an	an	DET
cana-5461	429	6	interesting	interesting	ADJ
cana-5461	429	7	point	point	NOUN
cana-5461	429	8	here	here	ADV
cana-5461	429	9	,	,	PUNCT
cana-5461	429	10	that	that	SCONJ
cana-5461	429	11	there	there	PRON
cana-5461	429	12	is	be	VERB
cana-5461	429	13	a	a	DET
cana-5461	429	14	slight	slight	ADJ
cana-5461	429	15	variation	variation	NOUN
cana-5461	429	16	17	17	NUM
cana-5461	429	17	vol	vol	NOUN
cana-5461	429	18	32	32	NUM
cana-5461	429	19	no	no	NOUN
cana-5461	429	20	.	.	PUNCT
cana-5461	430	1	10s(2025	10s(2025	NUM
cana-5461	430	2	)	)	PUNCT
cana-5461	430	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	430	4	communications	communication	NOUN
cana-5461	430	5	on	on	ADP
cana-5461	430	6	applied	apply	VERB
cana-5461	430	7	nonlinear	nonlinear	ADJ
cana-5461	430	8	analysis	analysis	NOUN
cana-5461	430	9	issn:1074	issn:1074	NOUN
cana-5461	430	10	-	-	NOUN
cana-5461	430	11	133x	133x	NUM
cana-5461	430	12	2362	2362	NUM
cana-5461	430	13	in	in	ADP
cana-5461	430	14	figure	figure	NOUN
cana-5461	430	15	3	3	NUM
cana-5461	430	16	(	(	PUNCT
cana-5461	430	17	b	b	NOUN
cana-5461	430	18	)	)	PUNCT
cana-5461	430	19	,	,	PUNCT
cana-5461	430	20	i.e.	i.e.	X
cana-5461	430	21	,	,	PUNCT
cana-5461	430	22	when	when	SCONJ
cana-5461	430	23	we	we	PRON
cana-5461	430	24	are	be	AUX
cana-5461	430	25	taking	take	VERB
cana-5461	430	26	the	the	DET
cana-5461	430	27	inputs	input	NOUN
cana-5461	430	28	as	as	ADP
cana-5461	430	29	decreasing	decrease	VERB
cana-5461	430	30	function	function	NOUN
cana-5461	430	31	there	there	PRON
cana-5461	430	32	is	be	VERB
cana-5461	430	33	a	a	DET
cana-5461	430	34	disturbance	disturbance	NOUN
cana-5461	430	35	in	in	ADP
cana-5461	430	36	the	the	DET
cana-5461	430	37	solutions	solution	NOUN
cana-5461	430	38	before	before	SCONJ
cana-5461	430	39	it	it	PRON
cana-5461	430	40	converge	converge	VERB
cana-5461	430	41	when	when	SCONJ
cana-5461	430	42	compared	compare	VERB
cana-5461	430	43	to	to	ADP
cana-5461	430	44	that	that	PRON
cana-5461	430	45	of	of	ADP
cana-5461	430	46	taking	take	VERB
cana-5461	430	47	an	an	DET
cana-5461	430	48	increasing	increase	VERB
cana-5461	430	49	function	function	NOUN
cana-5461	430	50	.	.	PUNCT
cana-5461	431	1	if	if	SCONJ
cana-5461	431	2	we	we	PRON
cana-5461	431	3	take	take	VERB
cana-5461	431	4	the	the	DET
cana-5461	431	5	increasing	increase	VERB
cana-5461	431	6	function	function	NOUN
cana-5461	431	7	as	as	ADP
cana-5461	431	8	positive	positive	ADJ
cana-5461	431	9	inputs	input	NOUN
cana-5461	431	10	and	and	CCONJ
cana-5461	431	11	the	the	DET
cana-5461	431	12	decreasing	decrease	VERB
cana-5461	431	13	function	function	NOUN
cana-5461	431	14	as	as	ADP
cana-5461	431	15	negative	negative	ADJ
cana-5461	431	16	inputs	input	NOUN
cana-5461	431	17	,	,	PUNCT
cana-5461	431	18	then	then	ADV
cana-5461	431	19	we	we	PRON
cana-5461	431	20	can	can	AUX
cana-5461	431	21	say	say	VERB
cana-5461	431	22	from	from	ADP
cana-5461	431	23	our	our	PRON
cana-5461	431	24	observation	observation	NOUN
cana-5461	431	25	that	that	SCONJ
cana-5461	431	26	the	the	DET
cana-5461	431	27	emotional	emotional	ADJ
cana-5461	431	28	stability	stability	NOUN
cana-5461	431	29	of	of	ADP
cana-5461	431	30	a	a	DET
cana-5461	431	31	person	person	NOUN
cana-5461	431	32	may	may	AUX
cana-5461	431	33	not	not	PART
cana-5461	431	34	deviate	deviate	VERB
cana-5461	431	35	if	if	SCONJ
cana-5461	431	36	he	he	PRON
cana-5461	431	37	is	be	AUX
cana-5461	431	38	getting	get	VERB
cana-5461	431	39	positive	positive	ADJ
cana-5461	431	40	inputs	input	NOUN
cana-5461	431	41	.	.	PUNCT
cana-5461	432	1	but	but	CCONJ
cana-5461	432	2	if	if	SCONJ
cana-5461	432	3	he	he	PRON
cana-5461	432	4	is	be	AUX
cana-5461	432	5	getting	get	VERB
cana-5461	432	6	negative	negative	ADJ
cana-5461	432	7	inputs	input	NOUN
cana-5461	432	8	,	,	PUNCT
cana-5461	432	9	then	then	ADV
cana-5461	432	10	he	he	PRON
cana-5461	432	11	needs	need	VERB
cana-5461	432	12	to	to	PART
cana-5461	432	13	struggle	struggle	VERB
cana-5461	432	14	to	to	PART
cana-5461	432	15	maintain	maintain	VERB
cana-5461	432	16	it	it	PRON
cana-5461	432	17	.	.	PUNCT
cana-5461	433	1	4	4	NUM
cana-5461	433	2	discussion	discussion	NOUN
cana-5461	433	3	in	in	ADP
cana-5461	433	4	this	this	DET
cana-5461	433	5	article	article	NOUN
cana-5461	433	6	,	,	PUNCT
cana-5461	433	7	the	the	DET
cana-5461	433	8	csnn	csnn	ADJ
cana-5461	433	9	model	model	NOUN
cana-5461	433	10	is	be	AUX
cana-5461	433	11	used	use	VERB
cana-5461	433	12	to	to	PART
cana-5461	433	13	understand	understand	VERB
cana-5461	433	14	how	how	SCONJ
cana-5461	433	15	the	the	DET
cana-5461	433	16	concepts	concept	NOUN
cana-5461	433	17	stored	store	VERB
cana-5461	433	18	in	in	ADP
cana-5461	433	19	the	the	DET
cana-5461	433	20	memory	memory	NOUN
cana-5461	433	21	contribute	contribute	NOUN
cana-5461	433	22	to	to	ADP
cana-5461	433	23	the	the	DET
cana-5461	433	24	outcome	outcome	NOUN
cana-5461	433	25	of	of	ADP
cana-5461	433	26	emotions	emotion	NOUN
cana-5461	433	27	.	.	PUNCT
cana-5461	434	1	the	the	DET
cana-5461	434	2	dynamical	dynamical	ADJ
cana-5461	434	3	system	system	NOUN
cana-5461	434	4	of	of	ADP
cana-5461	434	5	the	the	DET
cana-5461	434	6	model	model	NOUN
cana-5461	434	7	with	with	ADP
cana-5461	434	8	constant	constant	ADJ
cana-5461	434	9	inputs	input	NOUN
cana-5461	434	10	and	and	CCONJ
cana-5461	434	11	time	time	NOUN
cana-5461	434	12	-	-	PUNCT
cana-5461	434	13	varying	vary	VERB
cana-5461	434	14	inputs	input	NOUN
cana-5461	434	15	has	have	AUX
cana-5461	434	16	been	be	AUX
cana-5461	434	17	considered	consider	VERB
cana-5461	434	18	.	.	PUNCT
cana-5461	435	1	for	for	ADP
cana-5461	435	2	a	a	DET
cana-5461	435	3	system	system	NOUN
cana-5461	435	4	with	with	ADP
cana-5461	435	5	constant	constant	ADJ
cana-5461	435	6	input	input	NOUN
cana-5461	435	7	,	,	PUNCT
cana-5461	435	8	conditions	condition	NOUN
cana-5461	435	9	for	for	ADP
cana-5461	435	10	the	the	DET
cana-5461	435	11	existence	existence	NOUN
cana-5461	435	12	and	and	CCONJ
cana-5461	435	13	uniqueness	uniqueness	NOUN
cana-5461	435	14	of	of	ADP
cana-5461	435	15	equilibria	equilibrium	NOUN
cana-5461	435	16	,	,	PUNCT
cana-5461	435	17	delay	delay	NOUN
cana-5461	435	18	-	-	PUNCT
cana-5461	435	19	independent	independent	ADJ
cana-5461	435	20	and	and	CCONJ
cana-5461	435	21	delay	delay	NOUN
cana-5461	435	22	-	-	PUNCT
cana-5461	435	23	dependent	dependent	ADJ
cana-5461	435	24	conditions	condition	NOUN
cana-5461	435	25	for	for	ADP
cana-5461	435	26	global	global	ADJ
cana-5461	435	27	asymptotic	asymptotic	ADJ
cana-5461	435	28	stability	stability	NOUN
cana-5461	435	29	have	have	AUX
cana-5461	435	30	been	be	AUX
cana-5461	435	31	derived	derive	VERB
cana-5461	435	32	.	.	PUNCT
cana-5461	436	1	for	for	ADP
cana-5461	436	2	a	a	DET
cana-5461	436	3	system	system	NOUN
cana-5461	436	4	with	with	ADP
cana-5461	436	5	time	time	NOUN
cana-5461	436	6	-	-	PUNCT
cana-5461	436	7	varying	vary	VERB
cana-5461	436	8	input	input	NOUN
cana-5461	436	9	,	,	PUNCT
cana-5461	436	10	conditions	condition	NOUN
cana-5461	436	11	for	for	ADP
cana-5461	436	12	asymptotic	asymptotic	ADJ
cana-5461	436	13	nearness	nearness	NOUN
cana-5461	436	14	and	and	CCONJ
cana-5461	436	15	boundedness	boundedness	NOUN
cana-5461	436	16	have	have	AUX
cana-5461	436	17	been	be	AUX
cana-5461	436	18	derived	derive	VERB
cana-5461	436	19	.	.	PUNCT
cana-5461	437	1	so	so	ADV
cana-5461	437	2	,	,	PUNCT
cana-5461	437	3	both	both	CCONJ
cana-5461	437	4	in	in	ADP
cana-5461	437	5	the	the	DET
cana-5461	437	6	case	case	NOUN
cana-5461	437	7	of	of	ADP
cana-5461	437	8	constant	constant	ADJ
cana-5461	437	9	input	input	NOUN
cana-5461	437	10	and	and	CCONJ
cana-5461	437	11	time	time	NOUN
cana-5461	437	12	varying	vary	VERB
cana-5461	437	13	input	input	NOUN
cana-5461	437	14	,	,	PUNCT
cana-5461	437	15	our	our	PRON
cana-5461	437	16	systems	system	NOUN
cana-5461	437	17	are	be	AUX
cana-5461	437	18	well	well	ADV
cana-5461	437	19	behaved	behave	VERB
cana-5461	437	20	and	and	CCONJ
cana-5461	437	21	under	under	ADP
cana-5461	437	22	control	control	NOUN
cana-5461	437	23	,	,	PUNCT
cana-5461	437	24	hence	hence	ADV
cana-5461	437	25	they	they	PRON
cana-5461	437	26	can	can	AUX
cana-5461	437	27	be	be	AUX
cana-5461	437	28	used	use	VERB
cana-5461	437	29	for	for	ADP
cana-5461	437	30	proposition	proposition	NOUN
cana-5461	437	31	.	.	PUNCT
cana-5461	438	1	here	here	ADV
cana-5461	438	2	,	,	PUNCT
cana-5461	438	3	a	a	DET
cana-5461	438	4	point	point	NOUN
cana-5461	438	5	is	be	AUX
cana-5461	438	6	noted	note	VERB
cana-5461	438	7	that	that	SCONJ
cana-5461	438	8	when	when	SCONJ
cana-5461	438	9	the	the	DET
cana-5461	438	10	input	input	NOUN
cana-5461	438	11	function	function	NOUN
cana-5461	438	12	is	be	AUX
cana-5461	438	13	an	an	DET
cana-5461	438	14	increasing	increase	VERB
cana-5461	438	15	function	function	NOUN
cana-5461	438	16	,	,	PUNCT
cana-5461	438	17	the	the	DET
cana-5461	438	18	stability	stability	NOUN
cana-5461	438	19	will	will	AUX
cana-5461	438	20	not	not	PART
cana-5461	438	21	be	be	AUX
cana-5461	438	22	disturbed	disturb	VERB
cana-5461	438	23	compared	compare	VERB
cana-5461	438	24	to	to	ADP
cana-5461	438	25	when	when	SCONJ
cana-5461	438	26	the	the	DET
cana-5461	438	27	input	input	NOUN
cana-5461	438	28	is	be	AUX
cana-5461	438	29	a	a	DET
cana-5461	438	30	decreasing	decrease	VERB
cana-5461	438	31	function	function	NOUN
cana-5461	438	32	.	.	PUNCT
cana-5461	439	1	numerical	numerical	ADJ
cana-5461	439	2	examples	example	NOUN
cana-5461	439	3	are	be	AUX
cana-5461	439	4	illustrated	illustrate	VERB
cana-5461	439	5	to	to	PART
cana-5461	439	6	support	support	VERB
cana-5461	439	7	our	our	PRON
cana-5461	439	8	results	result	NOUN
cana-5461	439	9	.	.	PUNCT
cana-5461	440	1	references	reference	NOUN
cana-5461	440	2	[	[	X
cana-5461	440	3	1	1	NUM
cana-5461	440	4	]	]	X
cana-5461	440	5	alberto	alberto	PROPN
cana-5461	440	6	prieto	prieto	PROPN
cana-5461	440	7	,	,	PUNCT
cana-5461	440	8	beatriz	beatriz	PROPN
cana-5461	440	9	prieto	prieto	NOUN
cana-5461	440	10	,	,	PUNCT
cana-5461	440	11	eva	eva	PROPN
cana-5461	440	12	martinez	martinez	PROPN
cana-5461	440	13	ortigosa	ortigosa	PROPN
cana-5461	440	14	,	,	PUNCT
cana-5461	440	15	eduardo	eduardo	PROPN
cana-5461	440	16	ros	ros	PROPN
cana-5461	440	17	,	,	PUNCT
cana-5461	440	18	francisco	francisco	PROPN
cana-5461	440	19	pelayo	pelayo	PROPN
cana-5461	440	20	,	,	PUNCT
cana-5461	440	21	julio	julio	PROPN
cana-5461	440	22	ortega	ortega	PROPN
cana-5461	440	23	,	,	PUNCT
cana-5461	440	24	ignacio	ignacio	PROPN
cana-5461	440	25	rojas	rojas	PROPN
cana-5461	440	26	,	,	PUNCT
cana-5461	440	27	neural	neural	ADJ
cana-5461	440	28	networks	network	NOUN
cana-5461	440	29	:	:	PUNCT
cana-5461	440	30	an	an	DET
cana-5461	440	31	overview	overview	NOUN
cana-5461	440	32	of	of	ADP
cana-5461	440	33	early	early	ADJ
cana-5461	440	34	research	research	NOUN
cana-5461	440	35	,	,	PUNCT
cana-5461	440	36	current	current	ADJ
cana-5461	440	37	frameworks	framework	NOUN
cana-5461	440	38	and	and	CCONJ
cana-5461	440	39	new	new	ADJ
cana-5461	440	40	challenges	challenge	NOUN
cana-5461	440	41	,	,	PUNCT
cana-5461	440	42	neurocomputing	neurocomputing	NOUN
cana-5461	440	43	,	,	PUNCT
cana-5461	440	44	volume	volume	NOUN
cana-5461	440	45	214	214	NUM
cana-5461	440	46	,	,	PUNCT
cana-5461	440	47	2016	2016	NUM
cana-5461	440	48	,	,	PUNCT
cana-5461	440	49	pages	page	NOUN
cana-5461	440	50	242	242	NUM
cana-5461	440	51	-	-	SYM
cana-5461	440	52	268	268	NUM
cana-5461	440	53	,	,	PUNCT
cana-5461	440	54	issn	issn	PROPN
cana-5461	440	55	0925	0925	PROPN
cana-5461	440	56	-	-	SYM
cana-5461	440	57	2312	2312	NUM
cana-5461	440	58	,	,	PUNCT
cana-5461	440	59	https://doi.org/10.1016/j.neucom.2016.06.014	https://doi.org/10.1016/j.neucom.2016.06.014	X
cana-5461	440	60	.	.	PUNCT
cana-5461	441	1	[	[	X
cana-5461	441	2	2	2	NUM
cana-5461	441	3	]	]	X
cana-5461	441	4	barrett	barrett	PROPN
cana-5461	441	5	,	,	PUNCT
cana-5461	441	6	l.	l.	PROPN
cana-5461	441	7	f.	f.	PROPN
cana-5461	441	8	(	(	PUNCT
cana-5461	441	9	2017	2017	NUM
cana-5461	441	10	)	)	PUNCT
cana-5461	441	11	,	,	PUNCT
cana-5461	441	12	how	how	SCONJ
cana-5461	441	13	emotions	emotion	NOUN
cana-5461	441	14	are	be	AUX
cana-5461	441	15	made	make	VERB
cana-5461	441	16	:	:	PUNCT
cana-5461	441	17	the	the	DET
cana-5461	441	18	secret	secret	ADJ
cana-5461	441	19	life	life	NOUN
cana-5461	441	20	of	of	ADP
cana-5461	441	21	the	the	DET
cana-5461	441	22	brain	brain	NOUN
cana-5461	441	23	.	.	PUNCT
cana-5461	442	1	houghton	houghton	PROPN
cana-5461	442	2	mifflin	mifflin	PROPN
cana-5461	442	3	harcourt	harcourt	PROPN
cana-5461	442	4	.	.	PUNCT
cana-5461	443	1	[	[	X
cana-5461	443	2	3	3	NUM
cana-5461	443	3	]	]	X
cana-5461	443	4	hartmann	hartmann	PROPN
cana-5461	443	5	,	,	PUNCT
cana-5461	443	6	kim	kim	PROPN
cana-5461	443	7	&	&	CCONJ
cana-5461	443	8	siegert	siegert	PROPN
cana-5461	443	9	,	,	PUNCT
cana-5461	443	10	ingo	ingo	PROPN
cana-5461	443	11	&	&	CCONJ
cana-5461	443	12	glüge	glüge	PROPN
cana-5461	443	13	,	,	PUNCT
cana-5461	443	14	stefan	stefan	PROPN
cana-5461	443	15	&	&	CCONJ
cana-5461	443	16	wendemuth	wendemuth	PROPN
cana-5461	443	17	,	,	PUNCT
cana-5461	443	18	andreas	andreas	PROPN
cana-5461	443	19	&	&	CCONJ
cana-5461	443	20	kotzyba	kotzyba	PROPN
cana-5461	443	21	,	,	PUNCT
cana-5461	443	22	michael	michael	PROPN
cana-5461	443	23	&	&	CCONJ
cana-5461	443	24	deml	deml	PROPN
cana-5461	443	25	,	,	PUNCT
cana-5461	443	26	barbara	barbara	PROPN
cana-5461	443	27	.	.	PUNCT
cana-5461	443	28	(	(	PUNCT
cana-5461	443	29	2012	2012	NUM
cana-5461	443	30	)	)	PUNCT
cana-5461	443	31	.	.	PUNCT
cana-5461	444	1	describing	describe	VERB
cana-5461	444	2	human	human	ADJ
cana-5461	444	3	emotions	emotion	NOUN
cana-5461	444	4	through	through	ADP
cana-5461	444	5	mathematical	mathematical	ADJ
cana-5461	444	6	modelling	modelling	NOUN
cana-5461	444	7	.	.	PUNCT
cana-5461	445	1	ifac	ifac	NOUN
cana-5461	445	2	proceedings	proceeding	NOUN
cana-5461	445	3	volumes	volume	NOUN
cana-5461	445	4	,	,	PUNCT
cana-5461	445	5	volume	volume	NOUN
cana-5461	445	6	45	45	NUM
cana-5461	445	7	,	,	PUNCT
cana-5461	445	8	issue	issue	NOUN
cana-5461	445	9	2	2	NUM
cana-5461	445	10	,	,	PUNCT
cana-5461	445	11	2012	2012	NUM
cana-5461	445	12	,	,	PUNCT
cana-5461	445	13	pages	page	NOUN
cana-5461	445	14	463	463	NUM
cana-5461	445	15	-	-	SYM
cana-5461	445	16	468	468	NUM
cana-5461	445	17	,	,	PUNCT
cana-5461	445	18	issn	issn	PROPN
cana-5461	445	19	1474	1474	NUM
cana-5461	445	20	-	-	SYM
cana-5461	445	21	6670	6670	NUM
cana-5461	445	22	,	,	PUNCT
cana-5461	445	23	isbn	isbn	ADJ
cana-5461	445	24	9783902823236	9783902823236	NUM
cana-5461	445	25	,	,	PUNCT
cana-5461	445	26	https://doi.org/10.3182/20120215-3-at-3016.00081	https://doi.org/10.3182/20120215-3-at-3016.00081	NOUN
cana-5461	445	27	.	.	PUNCT
cana-5461	446	1	[	[	X
cana-5461	446	2	4	4	NUM
cana-5461	446	3	]	]	X
cana-5461	446	4	levine	levine	PROPN
cana-5461	446	5	,	,	PUNCT
cana-5461	446	6	daniel	daniel	PROPN
cana-5461	446	7	.	.	PUNCT
cana-5461	446	8	(	(	PUNCT
cana-5461	446	9	2007	2007	NUM
cana-5461	446	10	)	)	PUNCT
cana-5461	446	11	.	.	PUNCT
cana-5461	446	12	neural	neural	ADJ
cana-5461	446	13	network	network	NOUN
cana-5461	446	14	modeling	modeling	NOUN
cana-5461	446	15	of	of	ADP
cana-5461	446	16	emotion	emotion	NOUN
cana-5461	446	17	.	.	PUNCT
cana-5461	447	1	physics	physics	NOUN
cana-5461	447	2	of	of	ADP
cana-5461	447	3	life	life	NOUN
cana-5461	447	4	reviews	review	NOUN
cana-5461	447	5	.	.	PUNCT
cana-5461	448	1	4	4	X
cana-5461	448	2	.	.	X
cana-5461	448	3	37	37	NUM
cana-5461	448	4	-	-	SYM
cana-5461	448	5	63	63	NUM
cana-5461	448	6	.	.	PUNCT
cana-5461	449	1	10.1016	10.1016	NUM
cana-5461	449	2	/	/	SYM
cana-5461	449	3	j.plrev.2006.10.001	j.plrev.2006.10.001	PROPN
cana-5461	449	4	.	.	PUNCT
cana-5461	450	1	[	[	X
cana-5461	450	2	5	5	NUM
cana-5461	450	3	]	]	PUNCT
cana-5461	450	4	jayapradha	jayapradha	PROPN
cana-5461	450	5	soumya	soumya	PROPN
cana-5461	450	6	sharma	sharma	PROPN
cana-5461	450	7	,	,	PUNCT
cana-5461	450	8	j.	j.	PROPN
cana-5461	450	9	and	and	CCONJ
cana-5461	450	10	yash	yash	PROPN
cana-5461	450	11	dugar	dugar	NOUN
cana-5461	450	12	,	,	PUNCT
cana-5461	450	13	detection	detection	NOUN
cana-5461	450	14	and	and	CCONJ
cana-5461	450	15	recognition	recognition	NOUN
cana-5461	450	16	of	of	ADP
cana-5461	450	17	human	human	ADJ
cana-5461	450	18	emotion	emotion	NOUN
cana-5461	450	19	using	use	VERB
cana-5461	450	20	neural	neural	ADJ
cana-5461	450	21	network	network	NOUN
cana-5461	450	22	,	,	PUNCT
cana-5461	450	23	international	international	ADJ
cana-5461	450	24	journal	journal	NOUN
cana-5461	450	25	of	of	ADP
cana-5461	450	26	applied	apply	VERB
cana-5461	450	27	engineering	engineering	NOUN
cana-5461	450	28	research	research	NOUN
cana-5461	450	29	,	,	PUNCT
cana-5461	450	30	issn	issn	PROPN
cana-5461	450	31	0973	0973	NUM
cana-5461	450	32	-	-	SYM
cana-5461	450	33	4562	4562	NUM
cana-5461	450	34	volume	volume	NOUN
cana-5461	450	35	13	13	NUM
cana-5461	450	36	,	,	PUNCT
cana-5461	450	37	number	number	NOUN
cana-5461	450	38	8	8	NUM
cana-5461	450	39	(	(	PUNCT
cana-5461	450	40	2018	2018	NUM
cana-5461	450	41	)	)	PUNCT
cana-5461	450	42	pp	pp	ADP
cana-5461	450	43	.	.	PUNCT
cana-5461	451	1	6472	6472	NUM
cana-5461	451	2	-	-	SYM
cana-5461	451	3	6477	6477	NUM
cana-5461	451	4	,	,	PUNCT
cana-5461	451	5	http://www.ripublication.com	http://www.ripublication.com	X
cana-5461	451	6	18	18	NUM
cana-5461	451	7	communications	communication	NOUN
cana-5461	451	8	on	on	ADP
cana-5461	451	9	applied	apply	VERB
cana-5461	451	10	nonlinear	nonlinear	ADJ
cana-5461	451	11	analysis	analysis	NOUN
cana-5461	451	12	vol	vol	NOUN
cana-5461	451	13	32	32	NUM
cana-5461	451	14	no	no	NOUN
cana-5461	451	15	.	.	PUNCT
cana-5461	452	1	10s(2025	10s(2025	NUM
cana-5461	452	2	)	)	PUNCT
cana-5461	453	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	453	2	issn:1074	issn:1074	PROPN
cana-5461	453	3	-	-	PROPN
cana-5461	453	4	133x	133x	NUM
cana-5461	453	5	2363	2363	NUM
cana-5461	453	6	[	[	X
cana-5461	453	7	6	6	NUM
cana-5461	453	8	]	]	X
cana-5461	453	9	lee	lee	PROPN
cana-5461	453	10	,	,	PUNCT
cana-5461	453	11	chung	chung	PROPN
cana-5461	453	12	&	&	CCONJ
cana-5461	453	13	yoo	yoo	PROPN
cana-5461	453	14	,	,	PUNCT
cana-5461	453	15	s.k	s.k	PROPN
cana-5461	453	16	.	.	PROPN
cana-5461	453	17	&	&	CCONJ
cana-5461	453	18	park	park	PROPN
cana-5461	453	19	,	,	PUNCT
cana-5461	453	20	yoonj	yoonj	PROPN
cana-5461	453	21	&	&	CCONJ
cana-5461	453	22	kim	kim	PROPN
cana-5461	453	23	,	,	PUNCT
cana-5461	453	24	namhyun	namhyun	PROPN
cana-5461	453	25	&	&	CCONJ
cana-5461	453	26	jeong	jeong	PROPN
cana-5461	453	27	,	,	PUNCT
cana-5461	453	28	keesam	keesam	PROPN
cana-5461	453	29	&	&	CCONJ
cana-5461	453	30	lee	lee	PROPN
cana-5461	453	31	,	,	PUNCT
cana-5461	453	32	byungchae	byungchae	PROPN
cana-5461	453	33	.	.	PUNCT
cana-5461	454	1	(	(	PUNCT
cana-5461	454	2	2005	2005	NUM
cana-5461	454	3	)	)	PUNCT
cana-5461	454	4	.	.	PUNCT
cana-5461	455	1	using	use	VERB
cana-5461	455	2	neural	neural	ADJ
cana-5461	455	3	network	network	NOUN
cana-5461	455	4	to	to	PART
cana-5461	455	5	recognize	recognize	VERB
cana-5461	455	6	human	human	ADJ
cana-5461	455	7	emotions	emotion	NOUN
cana-5461	455	8	from	from	ADP
cana-5461	455	9	heart	heart	NOUN
cana-5461	455	10	rate	rate	NOUN
cana-5461	455	11	variability	variability	NOUN
cana-5461	455	12	and	and	CCONJ
cana-5461	455	13	skin	skin	NOUN
cana-5461	455	14	resistance	resistance	NOUN
cana-5461	455	15	.	.	PUNCT
cana-5461	456	1	conference	conference	NOUN
cana-5461	456	2	proceedings	proceeding	NOUN
cana-5461	456	3	:	:	PUNCT
cana-5461	456	4	annual	annual	ADJ
cana-5461	456	5	international	international	ADJ
cana-5461	456	6	conference	conference	NOUN
cana-5461	456	7	of	of	ADP
cana-5461	456	8	the	the	DET
cana-5461	456	9	ieee	ieee	NOUN
cana-5461	456	10	engineering	engineering	NOUN
cana-5461	456	11	in	in	ADP
cana-5461	456	12	medicine	medicine	NOUN
cana-5461	456	13	and	and	CCONJ
cana-5461	456	14	biology	biology	NOUN
cana-5461	456	15	society	society	NOUN
cana-5461	456	16	.	.	PUNCT
cana-5461	457	1	ieee	ieee	NOUN
cana-5461	457	2	engineering	engineering	NOUN
cana-5461	457	3	in	in	ADP
cana-5461	457	4	medicine	medicine	NOUN
cana-5461	457	5	and	and	CCONJ
cana-5461	457	6	biology	biology	NOUN
cana-5461	457	7	society	society	NOUN
cana-5461	457	8	.	.	PUNCT
cana-5461	458	1	conference	conference	NOUN
cana-5461	458	2	.	.	PUNCT
cana-5461	459	1	5	5	NUM
cana-5461	459	2	.	.	X
cana-5461	459	3	5523	5523	NUM
cana-5461	459	4	-	-	SYM
cana-5461	459	5	5	5	NUM
cana-5461	459	6	.	.	NUM
cana-5461	459	7	10.1109	10.1109	NUM
cana-5461	459	8	/	/	SYM
cana-5461	459	9	iembs.2005.1615734	iembs.2005.1615734	NOUN
cana-5461	459	10	.	.	PUNCT
cana-5461	460	1	[	[	X
cana-5461	460	2	7	7	X
cana-5461	460	3	]	]	PUNCT
cana-5461	460	4	m.	m.	NOUN
cana-5461	460	5	islam	islam	PROPN
cana-5461	460	6	,	,	PUNCT
cana-5461	460	7	m.	m.	PROPN
cana-5461	460	8	ahmad	ahmad	PROPN
cana-5461	460	9	,	,	PUNCT
cana-5461	460	10	m.	m.	NOUN
cana-5461	460	11	s.	s.	PROPN
cana-5461	460	12	u.	u.	PROPN
cana-5461	460	13	yusuf	yusuf	PROPN
cana-5461	460	14	and	and	CCONJ
cana-5461	460	15	t.	t.	PROPN
cana-5461	460	16	ahmed	ahmed	PROPN
cana-5461	460	17	,	,	PUNCT
cana-5461	460	18	”	"	PUNCT
cana-5461	460	19	mathematical	mathematical	ADJ
cana-5461	460	20	modeling	modeling	NOUN
cana-5461	460	21	of	of	ADP
cana-5461	460	22	human	human	ADJ
cana-5461	460	23	emotions	emotion	NOUN
cana-5461	460	24	using	use	VERB
cana-5461	460	25	sub	sub	ADJ
cana-5461	460	26	-	-	ADJ
cana-5461	460	27	band	band	ADJ
cana-5461	460	28	coefficients	coefficient	NOUN
cana-5461	460	29	of	of	ADP
cana-5461	460	30	wavelet	wavelet	NOUN
cana-5461	460	31	analysis	analysis	NOUN
cana-5461	460	32	,	,	PUNCT
cana-5461	460	33	”	"	PUNCT
cana-5461	460	34	2015	2015	NUM
cana-5461	460	35	international	international	ADJ
cana-5461	460	36	conference	conference	NOUN
cana-5461	460	37	on	on	ADP
cana-5461	460	38	electrical	electrical	ADJ
cana-5461	460	39	engineering	engineering	NOUN
cana-5461	460	40	and	and	CCONJ
cana-5461	460	41	information	information	NOUN
cana-5461	460	42	communication	communication	NOUN
cana-5461	460	43	technology	technology	NOUN
cana-5461	460	44	(	(	PUNCT
cana-5461	460	45	iceeict	iceeict	PROPN
cana-5461	460	46	)	)	PUNCT
cana-5461	460	47	,	,	PUNCT
cana-5461	460	48	dhaka	dhaka	PROPN
cana-5461	460	49	,	,	PUNCT
cana-5461	460	50	2015	2015	NUM
cana-5461	460	51	,	,	PUNCT
cana-5461	460	52	pp	pp	ADJ
cana-5461	460	53	.	.	PUNCT
cana-5461	461	1	1	1	NUM
cana-5461	461	2	-	-	SYM
cana-5461	461	3	6	6	NUM
cana-5461	461	4	.	.	PUNCT
cana-5461	462	1	[	[	X
cana-5461	462	2	8	8	NUM
cana-5461	462	3	]	]	SYM
cana-5461	462	4	minaee	minaee	X
cana-5461	462	5	,	,	PUNCT
cana-5461	462	6	shervin	shervin	PROPN
cana-5461	462	7	&	&	CCONJ
cana-5461	462	8	abdolrashidi	abdolrashidi	PROPN
cana-5461	462	9	,	,	PUNCT
cana-5461	462	10	amirali	amirali	PROPN
cana-5461	462	11	.	.	PUNCT
cana-5461	463	1	(	(	PUNCT
cana-5461	463	2	2019	2019	NUM
cana-5461	463	3	)	)	PUNCT
cana-5461	463	4	.	.	PUNCT
cana-5461	464	1	deep	deep	ADJ
cana-5461	464	2	-	-	PUNCT
cana-5461	464	3	emotion	emotion	NOUN
cana-5461	464	4	:	:	PUNCT
cana-5461	464	5	facial	facial	ADJ
cana-5461	464	6	expression	expression	NOUN
cana-5461	464	7	recognition	recognition	NOUN
cana-5461	464	8	using	use	VERB
cana-5461	464	9	attentional	attentional	ADJ
cana-5461	464	10	convolutional	convolutional	ADJ
cana-5461	464	11	network	network	NOUN
cana-5461	464	12	.	.	PUNCT
cana-5461	465	1	[	[	X
cana-5461	465	2	9	9	NUM
cana-5461	465	3	]	]	X
cana-5461	465	4	patrick	patrick	PROPN
cana-5461	465	5	zimmerman	zimmerman	PROPN
cana-5461	465	6	,	,	PUNCT
cana-5461	465	7	how	how	SCONJ
cana-5461	465	8	emotions	emotion	NOUN
cana-5461	465	9	are	be	AUX
cana-5461	465	10	made	make	VERB
cana-5461	465	11	,	,	PUNCT
cana-5461	465	12	behavioral	behavioral	ADJ
cana-5461	465	13	research	research	NOUN
cana-5461	465	14	blog	blog	NOUN
cana-5461	465	15	,	,	PUNCT
cana-5461	465	16	11	11	NUM
cana-5461	465	17	jun	jun	PROPN
cana-5461	465	18	.	.	PROPN
cana-5461	465	19	2019	2019	NUM
cana-5461	465	20	,	,	PUNCT
cana-5461	465	21	https://www.noldus.com/blog/how-emotions-are-made	https://www.noldus.com/blog/how-emotions-are-made	ADJ
cana-5461	465	22	.	.	PUNCT
cana-5461	466	1	[	[	X
cana-5461	466	2	10	10	NUM
cana-5461	466	3	]	]	X
cana-5461	466	4	patrick	patrick	PROPN
cana-5461	466	5	zimmerman	zimmerman	PROPN
cana-5461	466	6	,	,	PUNCT
cana-5461	466	7	how	how	SCONJ
cana-5461	466	8	to	to	PART
cana-5461	466	9	measure	measure	VERB
cana-5461	466	10	emotions	emotion	NOUN
cana-5461	466	11	i	i	PRON
cana-5461	466	12	,	,	PUNCT
cana-5461	466	13	behavioral	behavioral	ADJ
cana-5461	466	14	research	research	NOUN
cana-5461	466	15	blog	blog	NOUN
cana-5461	466	16	,	,	PUNCT
cana-5461	466	17	30	30	NUM
cana-5461	466	18	jul	jul	PROPN
cana-5461	466	19	.	.	PROPN
cana-5461	466	20	2019	2019	NUM
cana-5461	466	21	,	,	PUNCT
cana-5461	466	22	https://www.noldus.com/blog/how-to-measure-emotions	https://www.noldus.com/blog/how-to-measure-emotion	NOUN
cana-5461	466	23	.	.	PUNCT
cana-5461	467	1	[	[	X
cana-5461	467	2	11	11	NUM
cana-5461	467	3	]	]	PUNCT
cana-5461	467	4	prisnyakov	prisnyakov	NOUN
cana-5461	467	5	,	,	PUNCT
cana-5461	467	6	v.f	v.f	PROPN
cana-5461	467	7	.	.	PROPN
cana-5461	467	8	,	,	PUNCT
cana-5461	467	9	prisnyakova	prisnyakova	PROPN
cana-5461	467	10	,	,	PUNCT
cana-5461	467	11	l.m	l.m	PROPN
cana-5461	467	12	.	.	PROPN
cana-5461	467	13	mathematical	mathematical	ADJ
cana-5461	467	14	modeling	modeling	NOUN
cana-5461	467	15	of	of	ADP
cana-5461	467	16	emotions	emotion	NOUN
cana-5461	467	17	.	.	PUNCT
cana-5461	468	1	cybern	cybern	PROPN
cana-5461	468	2	syst	syst	PROPN
cana-5461	468	3	anal	anal	PROPN
cana-5461	468	4	30	30	NUM
cana-5461	468	5	,	,	PUNCT
cana-5461	468	6	142–149	142–149	NUM
cana-5461	468	7	(	(	PUNCT
cana-5461	468	8	1994	1994	NUM
cana-5461	468	9	)	)	PUNCT
cana-5461	468	10	.	.	PUNCT
cana-5461	469	1	https://doi.org/10.1007/bf02366374	https://doi.org/10.1007/bf02366374	NOUN
cana-5461	469	2	.	.	PUNCT
cana-5461	470	1	[	[	X
cana-5461	470	2	12	12	NUM
cana-5461	470	3	]	]	PUNCT
cana-5461	470	4	raja	raja	PROPN
cana-5461	470	5	sekhara	sekhara	PROPN
cana-5461	470	6	rao	rao	PROPN
cana-5461	470	7	p	p	X
cana-5461	470	8	,	,	PUNCT
cana-5461	470	9	venkata	venkata	PROPN
cana-5461	470	10	ratnam	ratnam	PROPN
cana-5461	470	11	k	k	PROPN
cana-5461	470	12	and	and	CCONJ
cana-5461	470	13	lalitha	lalitha	PROPN
cana-5461	470	14	p	p	NOUN
cana-5461	470	15	,	,	PUNCT
cana-5461	470	16	delay	delay	VERB
cana-5461	470	17	independent	independent	ADJ
cana-5461	470	18	stability	stability	NOUN
cana-5461	470	19	of	of	ADP
cana-5461	470	20	cooperative	cooperative	ADJ
cana-5461	470	21	and	and	CCONJ
cana-5461	470	22	supportive	supportive	ADJ
cana-5461	470	23	neural	neural	ADJ
cana-5461	470	24	network	network	NOUN
cana-5461	470	25	,	,	PUNCT
cana-5461	470	26	nonlinear	nonlinear	ADJ
cana-5461	470	27	dynamics	dynamic	NOUN
cana-5461	470	28	and	and	CCONJ
cana-5461	470	29	system	system	NOUN
cana-5461	470	30	theory	theory	NOUN
cana-5461	470	31	,	,	PUNCT
cana-5461	470	32	2015	2015	NUM
cana-5461	470	33	,	,	PUNCT
cana-5461	470	34	volume	volume	NOUN
cana-5461	470	35	15(2	15(2	NUM
cana-5461	470	36	):	):	PUNCT
cana-5461	470	37	184	184	NUM
cana-5461	470	38	-	-	SYM
cana-5461	470	39	197	197	NUM
cana-5461	470	40	,	,	PUNCT
cana-5461	470	41	http://e	http://e	NOUN
cana-5461	470	42	-	-	PUNCT
cana-5461	470	43	ndst.kiev.ua184	ndst.kiev.ua184	NOUN
cana-5461	470	44	.	.	PUNCT
cana-5461	471	1	[	[	X
cana-5461	471	2	13	13	NUM
cana-5461	471	3	]	]	PUNCT
cana-5461	471	4	raja	raja	PROPN
cana-5461	471	5	sekhara	sekhara	PROPN
cana-5461	471	6	rao	rao	PROPN
cana-5461	471	7	p	p	X
cana-5461	471	8	,	,	PUNCT
cana-5461	471	9	venkata	venkata	PROPN
cana-5461	471	10	ratnam	ratnam	PROPN
cana-5461	471	11	k	k	PROPN
cana-5461	471	12	,	,	PUNCT
cana-5461	471	13	lalitha	lalitha	PROPN
cana-5461	471	14	p	p	PROPN
cana-5461	471	15	and	and	CCONJ
cana-5461	471	16	dipak	dipak	PROPN
cana-5461	471	17	kumar	kumar	PROPN
cana-5461	471	18	satpathi	satpathi	PROPN
cana-5461	471	19	,	,	PUNCT
cana-5461	471	20	global	global	ADJ
cana-5461	471	21	dynamics	dynamic	NOUN
cana-5461	471	22	of	of	ADP
cana-5461	471	23	a	a	DET
cana-5461	471	24	cooperative	cooperative	ADJ
cana-5461	471	25	and	and	CCONJ
cana-5461	471	26	supportive	supportive	ADJ
cana-5461	471	27	network	network	NOUN
cana-5461	471	28	with	with	ADP
cana-5461	471	29	subnetwork	subnetwork	NOUN
cana-5461	471	30	deactivation	deactivation	NOUN
cana-5461	471	31	,	,	PUNCT
cana-5461	471	32	nonlinear	nonlinear	ADJ
cana-5461	471	33	dynamics	dynamic	NOUN
cana-5461	471	34	and	and	CCONJ
cana-5461	471	35	system	system	NOUN
cana-5461	471	36	theory	theory	NOUN
cana-5461	471	37	,	,	PUNCT
cana-5461	471	38	2017	2017	NUM
cana-5461	471	39	,	,	PUNCT
cana-5461	471	40	volume	volume	NOUN
cana-5461	471	41	17(2	17(2	NUM
cana-5461	471	42	):	):	PUNCT
cana-5461	471	43	205	205	NUM
cana-5461	471	44	-	-	SYM
cana-5461	471	45	216	216	NUM
cana-5461	471	46	,	,	PUNCT
cana-5461	471	47	http://e-ndst.kiev.ua	http://e-ndst.kiev.ua	PROPN
cana-5461	471	48	.	.	PUNCT
cana-5461	472	1	[	[	X
cana-5461	472	2	14	14	NUM
cana-5461	472	3	]	]	X
cana-5461	472	4	raja	raja	PROPN
cana-5461	472	5	sekhara	sekhara	PROPN
cana-5461	472	6	rao	rao	PROPN
cana-5461	472	7	p	p	X
cana-5461	472	8	,	,	PUNCT
cana-5461	472	9	venkata	venkata	PROPN
cana-5461	472	10	ratnam	ratnam	PROPN
cana-5461	472	11	k	k	PROPN
cana-5461	472	12	,	,	PUNCT
cana-5461	472	13	and	and	CCONJ
cana-5461	472	14	lalitha	lalitha	PROPN
cana-5461	472	15	p	p	NOUN
cana-5461	472	16	,	,	PUNCT
cana-5461	472	17	estimation	estimation	NOUN
cana-5461	472	18	of	of	ADP
cana-5461	472	19	inputs	input	NOUN
cana-5461	472	20	for	for	ADP
cana-5461	472	21	desired	desire	VERB
cana-5461	472	22	output	output	NOUN
cana-5461	472	23	of	of	ADP
cana-5461	472	24	a	a	DET
cana-5461	472	25	cooperative	cooperative	ADJ
cana-5461	472	26	and	and	CCONJ
cana-5461	472	27	supportive	supportive	ADJ
cana-5461	472	28	neural	neural	ADJ
cana-5461	472	29	network	network	NOUN
cana-5461	472	30	,	,	PUNCT
cana-5461	472	31	ijetcas	ijetcas	ADJ
cana-5461	472	32	14	14	NUM
cana-5461	472	33	-	-	SYM
cana-5461	472	34	536	536	NUM
cana-5461	472	35	,	,	PUNCT
cana-5461	472	36	2014	2014	NUM
cana-5461	472	37	,	,	PUNCT
cana-5461	472	38	issue	issue	NOUN
cana-5461	472	39	9	9	NUM
cana-5461	472	40	volume	volume	NOUN
cana-5461	472	41	1	1	NUM
cana-5461	472	42	,	,	PUNCT
cana-5461	472	43	issn	issn	PROPN
cana-5461	472	44	(	(	PUNCT
cana-5461	472	45	online	online	ADJ
cana-5461	472	46	):	):	PUNCT
cana-5461	472	47	2279	2279	NUM
cana-5461	472	48	-	-	SYM
cana-5461	472	49	0055	0055	NUM
cana-5461	472	50	.	.	PUNCT
cana-5461	473	1	[	[	X
cana-5461	473	2	15	15	NUM
cana-5461	473	3	]	]	X
cana-5461	473	4	raja	raja	PROPN
cana-5461	473	5	sekhara	sekhara	PROPN
cana-5461	473	6	rao	rao	PROPN
cana-5461	473	7	p	p	X
cana-5461	473	8	,	,	PUNCT
cana-5461	473	9	venkata	venkata	PROPN
cana-5461	473	10	ratnam	ratnam	PROPN
cana-5461	473	11	k	k	PROPN
cana-5461	473	12	,	,	PUNCT
cana-5461	473	13	and	and	CCONJ
cana-5461	473	14	shirisha	shirisha	VERB
cana-5461	473	15	g	g	PROPN
cana-5461	473	16	,	,	PUNCT
cana-5461	473	17	a	a	DET
cana-5461	473	18	study	study	NOUN
cana-5461	473	19	on	on	ADP
cana-5461	473	20	interactions	interaction	NOUN
cana-5461	473	21	between	between	ADP
cana-5461	473	22	focal	focal	ADJ
cana-5461	473	23	and	and	CCONJ
cana-5461	473	24	non	non	ADJ
cana-5461	473	25	focal	focal	ADJ
cana-5461	473	26	parts	part	NOUN
cana-5461	473	27	of	of	ADP
cana-5461	473	28	a	a	DET
cana-5461	473	29	human	human	ADJ
cana-5461	473	30	brain	brain	NOUN
cana-5461	473	31	using	use	VERB
cana-5461	473	32	a	a	DET
cana-5461	473	33	cooperative	cooperative	ADJ
cana-5461	473	34	and	and	CCONJ
cana-5461	473	35	supportive	supportive	ADJ
cana-5461	473	36	neural	neural	ADJ
cana-5461	473	37	network	network	NOUN
cana-5461	473	38	,	,	PUNCT
cana-5461	473	39	communicated	communicate	VERB
cana-5461	473	40	.	.	PUNCT
cana-5461	474	1	[	[	X
cana-5461	474	2	16	16	NUM
cana-5461	474	3	]	]	PUNCT
cana-5461	474	4	rahul	rahul	PROPN
cana-5461	474	5	mahadeo	mahadeo	PROPN
cana-5461	474	6	shahane	shahane	PROPN
cana-5461	474	7	,	,	PUNCT
cana-5461	474	8	ramakrishna	ramakrishna	PROPN
cana-5461	474	9	sharma.k	sharma.k	PROPN
cana-5461	474	10	,	,	PUNCT
cana-5461	474	11	md.seemab	md.seemab	NOUN
cana-5461	474	12	siddeeq	siddeeq	NOUN
cana-5461	474	13	,	,	PUNCT
cana-5461	474	14	emotion	emotion	NOUN
cana-5461	474	15	recognition	recognition	NOUN
cana-5461	474	16	using	use	VERB
cana-5461	474	17	feed	feed	NOUN
cana-5461	474	18	forward	forward	ADV
cana-5461	474	19	neural	neural	ADJ
cana-5461	474	20	network	network	NOUN
cana-5461	474	21	&	&	CCONJ
cana-5461	474	22	näıve	näıve	NUM
cana-5461	474	23	bayes	bayes	PROPN
cana-5461	474	24	,	,	PUNCT
cana-5461	474	25	international	international	ADJ
cana-5461	474	26	journal	journal	NOUN
cana-5461	474	27	of	of	ADP
cana-5461	474	28	innovative	innovative	ADJ
cana-5461	474	29	technology	technology	NOUN
cana-5461	474	30	and	and	CCONJ
cana-5461	474	31	exploring	explore	VERB
cana-5461	474	32	engineering	engineering	NOUN
cana-5461	474	33	(	(	PUNCT
cana-5461	474	34	ijitee	ijitee	NOUN
cana-5461	474	35	)	)	PUNCT
cana-5461	474	36	issn	issn	PROPN
cana-5461	474	37	:	:	PUNCT
cana-5461	474	38	2278	2278	NUM
cana-5461	474	39	-	-	SYM
cana-5461	474	40	3075	3075	NUM
cana-5461	474	41	,	,	PUNCT
cana-5461	474	42	volume-9	volume-9	NUM
cana-5461	474	43	issue-2	issue-2	NUM
cana-5461	474	44	,	,	PUNCT
cana-5461	474	45	december	december	PROPN
cana-5461	474	46	2019	2019	NUM
cana-5461	474	47	.	.	PUNCT
cana-5461	475	1	[	[	X
cana-5461	475	2	17	17	NUM
cana-5461	475	3	]	]	X
cana-5461	475	4	r.	r.	PROPN
cana-5461	475	5	santhoshkumar	santhoshkumar	PROPN
cana-5461	475	6	,	,	PUNCT
cana-5461	475	7	m.	m.	NOUN
cana-5461	475	8	kalaiselvi	kalaiselvi	PROPN
cana-5461	475	9	geetha	geetha	PROPN
cana-5461	475	10	,	,	PUNCT
cana-5461	475	11	deep	deep	ADJ
cana-5461	475	12	learning	learning	NOUN
cana-5461	475	13	approach	approach	NOUN
cana-5461	475	14	for	for	ADP
cana-5461	475	15	emotion	emotion	NOUN
cana-5461	475	16	recognition	recognition	NOUN
cana-5461	475	17	from	from	ADP
cana-5461	475	18	human	human	ADJ
cana-5461	475	19	body	body	NOUN
cana-5461	475	20	movements	movement	NOUN
cana-5461	475	21	with	with	ADP
cana-5461	475	22	feedforward	feedforward	ADJ
cana-5461	475	23	deep	deep	ADJ
cana-5461	475	24	convolution	convolution	NOUN
cana-5461	475	25	neural	neural	ADJ
cana-5461	475	26	networks	network	NOUN
cana-5461	475	27	,	,	PUNCT
cana-5461	475	28	procedia	procedia	NOUN
cana-5461	475	29	computer	computer	NOUN
cana-5461	475	30	science	science	NOUN
cana-5461	475	31	,	,	PUNCT
cana-5461	475	32	volume	volume	NOUN
cana-5461	475	33	152	152	NUM
cana-5461	475	34	,	,	PUNCT
cana-5461	475	35	2019	2019	NUM
cana-5461	475	36	,	,	PUNCT
cana-5461	475	37	pages	page	NOUN
cana-5461	475	38	158	158	NUM
cana-5461	475	39	-	-	SYM
cana-5461	475	40	165	165	NUM
cana-5461	475	41	,	,	PUNCT
cana-5461	475	42	issn	issn	PROPN
cana-5461	475	43	1877	1877	NUM
cana-5461	475	44	-	-	SYM
cana-5461	475	45	0509	0509	NUM
cana-5461	475	46	,	,	PUNCT
cana-5461	475	47	https://doi.org/10.1016/j.procs.2019.05.038	https://doi.org/10.1016/j.procs.2019.05.038	PROPN
cana-5461	475	48	.	.	PUNCT
cana-5461	476	1	[	[	X
cana-5461	476	2	18	18	NUM
cana-5461	476	3	]	]	X
cana-5461	476	4	sree	sree	PROPN
cana-5461	476	5	hari	hari	PROPN
cana-5461	476	6	rao	rao	PROPN
cana-5461	476	7	,	,	PUNCT
cana-5461	476	8	v.	v.	PROPN
cana-5461	476	9	and	and	CCONJ
cana-5461	476	10	naresh	naresh	PROPN
cana-5461	476	11	kumar	kumar	PROPN
cana-5461	476	12	,	,	PUNCT
cana-5461	476	13	m.	m.	NOUN
cana-5461	476	14	estimation	estimation	NOUN
cana-5461	476	15	of	of	ADP
cana-5461	476	16	the	the	DET
cana-5461	476	17	parameters	parameter	NOUN
cana-5461	476	18	of	of	ADP
cana-5461	476	19	an	an	DET
cana-5461	476	20	infectious	infectious	ADJ
cana-5461	476	21	disease	disease	NOUN
cana-5461	476	22	model	model	NOUN
cana-5461	476	23	using	use	VERB
cana-5461	476	24	neural	neural	ADJ
cana-5461	476	25	networks	network	NOUN
cana-5461	476	26	.	.	PUNCT
cana-5461	477	1	nonlinear	nonlinear	ADJ
cana-5461	477	2	analysis	analysis	NOUN
cana-5461	477	3	:	:	PUNCT
cana-5461	477	4	real	real	ADJ
cana-5461	477	5	world	world	NOUN
cana-5461	477	6	applications	application	NOUN
cana-5461	477	7	.	.	PUNCT
cana-5461	478	1	2010	2010	NUM
cana-5461	478	2	;	;	PUNCT
cana-5461	478	3	11(3	11(3	NUM
cana-5461	478	4	):	):	PUNCT
cana-5461	478	5	1810	1810	NUM
cana-5461	478	6	-	-	SYM
cana-5461	478	7	1818	1818	NUM
cana-5461	478	8	.	.	PUNCT
cana-5461	479	1	issn	issn	PROPN
cana-5461	479	2	1468	1468	NUM
cana-5461	479	3	-	-	SYM
cana-5461	479	4	1218	1218	NUM
cana-5461	479	5	.	.	PUNCT
cana-5461	480	1	https://doi.org/10.1016/j.nonrwa	https://doi.org/10.1016/j.nonrwa	NOUN
cana-5461	480	2	.	.	PUNCT
cana-5461	481	1	2009.04.006	2009.04.006	NUM
cana-5461	481	2	.	.	PUNCT
cana-5461	482	1	19	19	NUM
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cana-5461	482	3	on	on	ADP
cana-5461	482	4	applied	apply	VERB
cana-5461	482	5	nonlinear	nonlinear	ADJ
cana-5461	482	6	analysis	analysis	NOUN
cana-5461	482	7	vol	vol	NOUN
cana-5461	482	8	32	32	NUM
cana-5461	482	9	no	no	NOUN
cana-5461	482	10	.	.	PUNCT
cana-5461	482	11	10s(2025	10s(2025	NUM
cana-5461	482	12	)	)	PUNCT
cana-5461	482	13	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	482	14	issn:1074	issn:1074	PROPN
cana-5461	482	15	-	-	PROPN
cana-5461	482	16	133x	133x	NUM
cana-5461	482	17	2364	2364	NUM
cana-5461	482	18	[	[	X
cana-5461	482	19	19	19	NUM
cana-5461	482	20	]	]	PUNCT
cana-5461	482	21	sree	sree	PROPN
cana-5461	482	22	hari	hari	PROPN
cana-5461	482	23	rao	rao	PROPN
cana-5461	482	24	v	v	PROPN
cana-5461	482	25	,	,	PUNCT
cana-5461	482	26	raja	raja	PROPN
cana-5461	482	27	sekhara	sekhara	PROPN
cana-5461	482	28	rao	rao	PROPN
cana-5461	482	29	p	p	NOUN
cana-5461	482	30	,	,	PUNCT
cana-5461	482	31	cooperative	cooperative	ADJ
cana-5461	482	32	and	and	CCONJ
cana-5461	482	33	supportive	supportive	ADJ
cana-5461	482	34	neural	neural	ADJ
cana-5461	482	35	network	network	NOUN
cana-5461	482	36	,	,	PUNCT
cana-5461	482	37	2007	2007	NUM
cana-5461	482	38	,	,	PUNCT
cana-5461	482	39	physics	physics	NOUN
cana-5461	482	40	letters	letter	VERB
cana-5461	482	41	a	a	DET
cana-5461	482	42	371(1):101	371(1):101	NUM
cana-5461	482	43	-	-	SYM
cana-5461	482	44	110	110	NUM
cana-5461	482	45	,	,	PUNCT
cana-5461	482	46	https://doi.org/10.1016/j.physleta	https://doi.org/10.1016/j.physleta	NOUN
cana-5461	482	47	.	.	PUNCT
cana-5461	483	1	2007.06.049	2007.06.049	NOUN
cana-5461	483	2	.	.	PUNCT
cana-5461	484	1	[	[	X
cana-5461	484	2	20	20	NUM
cana-5461	484	3	]	]	PUNCT
cana-5461	484	4	sree	sree	PROPN
cana-5461	484	5	hari	hari	PROPN
cana-5461	484	6	rao	rao	PROPN
cana-5461	484	7	v	v	PROPN
cana-5461	484	8	and	and	CCONJ
cana-5461	484	9	raja	raja	PROPN
cana-5461	484	10	sekhara	sekhara	PROPN
cana-5461	484	11	rao	rao	PROPN
cana-5461	484	12	p	p	X
cana-5461	484	13	,	,	PUNCT
cana-5461	484	14	(	(	PUNCT
cana-5461	484	15	2016	2016	NUM
cana-5461	484	16	)	)	PUNCT
cana-5461	484	17	.	.	PUNCT
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cana-5461	485	2	varying	vary	VERB
cana-5461	485	3	stimulations	stimulation	NOUN
cana-5461	485	4	in	in	ADP
cana-5461	485	5	simple	simple	ADJ
cana-5461	485	6	neural	neural	ADJ
cana-5461	485	7	networks	network	NOUN
cana-5461	485	8	and	and	CCONJ
cana-5461	485	9	convergence	convergence	NOUN
cana-5461	485	10	to	to	ADP
cana-5461	485	11	desired	desire	VERB
cana-5461	485	12	outputs	output	NOUN
cana-5461	485	13	,	,	PUNCT
cana-5461	485	14	differential	differential	ADJ
cana-5461	485	15	equations	equation	NOUN
cana-5461	485	16	and	and	CCONJ
cana-5461	485	17	dynamical	dynamical	ADJ
cana-5461	485	18	systems	system	NOUN
cana-5461	485	19	,	,	PUNCT
cana-5461	485	20	26(6	26(6	NUM
cana-5461	485	21	)	)	PUNCT
cana-5461	485	22	,	,	PUNCT
cana-5461	485	23	doi:10.1007	doi:10.1007	VERB
cana-5461	485	24	/	/	SYM
cana-5461	485	25	s12591	s12591	NOUN
cana-5461	485	26	-	-	PUNCT
cana-5461	485	27	016	016	NUM
cana-5461	485	28	-	-	PUNCT
cana-5461	485	29	0312	0312	NUM
cana-5461	485	30	-	-	PUNCT
cana-5461	485	31	z.	z.	PROPN
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cana-5461	486	2	21	21	NUM
cana-5461	486	3	]	]	PUNCT
cana-5461	486	4	thenius	thenius	NOUN
cana-5461	486	5	,	,	PUNCT
cana-5461	486	6	ronald	ronald	PROPN
cana-5461	486	7	.	.	PUNCT
cana-5461	487	1	(	(	PUNCT
cana-5461	487	2	2013	2013	NUM
cana-5461	487	3	)	)	PUNCT
cana-5461	487	4	.	.	PUNCT
cana-5461	488	1	emann	emann	PROPN
cana-5461	488	2	a	a	DET
cana-5461	488	3	model	model	NOUN
cana-5461	488	4	of	of	ADP
cana-5461	488	5	emotions	emotion	NOUN
cana-5461	488	6	in	in	ADP
cana-5461	488	7	an	an	DET
cana-5461	488	8	artificial	artificial	ADJ
cana-5461	488	9	neural	neural	ADJ
cana-5461	488	10	network	network	NOUN
cana-5461	488	11	.	.	PUNCT
cana-5461	489	1	[	[	X
cana-5461	489	2	22	22	NUM
cana-5461	489	3	]	]	PUNCT
cana-5461	489	4	trampe	trampe	NOUN
cana-5461	489	5	d	d	PROPN
cana-5461	489	6	,	,	PUNCT
cana-5461	489	7	quoidbach	quoidbach	PROPN
cana-5461	489	8	j	j	PROPN
cana-5461	489	9	,	,	PUNCT
cana-5461	489	10	taquet	taquet	VERB
cana-5461	489	11	m	m	PROPN
cana-5461	489	12	(	(	PUNCT
cana-5461	489	13	2015	2015	NUM
cana-5461	489	14	)	)	PUNCT
cana-5461	489	15	emotions	emotion	NOUN
cana-5461	489	16	in	in	ADP
cana-5461	489	17	everyday	everyday	ADJ
cana-5461	489	18	life	life	NOUN
cana-5461	489	19	.	.	PUNCT
cana-5461	490	1	plos	plos	PROPN
cana-5461	490	2	one	one	NUM
cana-5461	490	3	10(12	10(12	NUM
cana-5461	490	4	):	):	PUNCT
cana-5461	490	5	e0145450	e0145450	PROPN
cana-5461	490	6	.	.	PUNCT
cana-5461	491	1	https://doi.org/10.1371/journal.pone.0145450	https://doi.org/10.1371/journal.pone.0145450	NOUN
cana-5461	492	1	[	[	X
cana-5461	492	2	23	23	NUM
cana-5461	492	3	]	]	X
cana-5461	492	4	unluturk	unluturk	PROPN
cana-5461	492	5	,	,	PUNCT
cana-5461	492	6	mehmet	mehmet	PROPN
cana-5461	492	7	&	&	CCONJ
cana-5461	492	8	oguz	oguz	PROPN
cana-5461	492	9	,	,	PUNCT
cana-5461	492	10	kaya	kaya	PROPN
cana-5461	492	11	&	&	CCONJ
cana-5461	492	12	atay	atay	PROPN
cana-5461	492	13	,	,	PUNCT
cana-5461	492	14	coskun	coskun	PROPN
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cana-5461	493	3	)	)	PUNCT
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cana-5461	494	5	networks	network	NOUN
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cana-5461	495	1	20	20	NUM
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cana-5461	495	3	32	32	NUM
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cana-5461	495	5	.	.	PUNCT
cana-5461	495	6	10s(2025	10s(2025	NUM
cana-5461	495	7	)	)	PUNCT
cana-5461	495	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5461	495	9	communications	communication	NOUN
cana-5461	495	10	on	on	ADP
cana-5461	495	11	applied	apply	VERB
cana-5461	495	12	nonlinear	nonlinear	ADJ
cana-5461	495	13	analysis	analysis	NOUN
cana-5461	495	14	issn:1074	issn:1074	NOUN
cana-5461	495	15	-	-	NOUN
cana-5461	495	16	133x	133x	NUM
cana-5461	495	17	2365	2365	NUM