id	sid	tid	token	lemma	pos
cana-6116	1	1	communications	communication	NOUN
cana-6116	1	2	on	on	ADP
cana-6116	1	3	applied	apply	VERB
cana-6116	1	4	nonlinear	nonlinear	ADJ
cana-6116	1	5	analysis	analysis	NOUN
cana-6116	1	6	issn	issn	NOUN
cana-6116	1	7	:	:	PUNCT
cana-6116	1	8	1074	1074	NUM
cana-6116	1	9	-	-	PUNCT
cana-6116	1	10	133x	133x	NUM
cana-6116	1	11	vol	vol	VERB
cana-6116	1	12	32	32	NUM
cana-6116	1	13	no	no	NOUN
cana-6116	1	14	.	.	PUNCT
cana-6116	2	1	10s	10	NOUN
cana-6116	2	2	(	(	PUNCT
cana-6116	2	3	2025	2025	NUM
cana-6116	2	4	)	)	PUNCT
cana-6116	2	5	3413	3413	NUM
cana-6116	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	3	1	a	a	DET
cana-6116	3	2	mathematical	mathematical	ADJ
cana-6116	3	3	study	study	NOUN
cana-6116	3	4	of	of	ADP
cana-6116	3	5	three	three	NUM
cana-6116	3	6	species	specie	NOUN
cana-6116	3	7	commensalism	commensalism	NOUN
cana-6116	3	8	shweta	shweta	PROPN
cana-6116	3	9	srivastava1	srivastava1	PROPN
cana-6116	3	10	,	,	PUNCT
cana-6116	3	11	valupadas	valupadas	PROPN
cana-6116	3	12	anand2	anand2	NOUN
cana-6116	3	13	and	and	CCONJ
cana-6116	3	14	bitla	bitla	NOUN
cana-6116	4	1	hari	hari	PROPN
cana-6116	4	2	prasad3	prasad3	PROPN
cana-6116	4	3	*	*	PUNCT
cana-6116	4	4	1assistant	1assistant	NUM
cana-6116	4	5	professor	professor	NOUN
cana-6116	4	6	,	,	PUNCT
cana-6116	4	7	rbvrr	rbvrr	NOUN
cana-6116	4	8	women	woman	NOUN
cana-6116	4	9	’s	’s	PART
cana-6116	4	10	college	college	PROPN
cana-6116	4	11	,	,	PUNCT
cana-6116	4	12	hyderabad	hyderabad	PROPN
cana-6116	4	13	,	,	PUNCT
cana-6116	4	14	telangana	telangana	PROPN
cana-6116	4	15	state	state	PROPN
cana-6116	4	16	,	,	PUNCT
cana-6116	4	17	india	india	PROPN
cana-6116	4	18	2assistant	2assistant	PROPN
cana-6116	4	19	professor	professor	NOUN
cana-6116	4	20	,	,	PUNCT
cana-6116	4	21	kakatiya	kakatiya	PROPN
cana-6116	4	22	institute	institute	PROPN
cana-6116	4	23	of	of	ADP
cana-6116	4	24	technology	technology	PROPN
cana-6116	4	25	and	and	CCONJ
cana-6116	4	26	science	science	NOUN
cana-6116	4	27	,	,	PUNCT
cana-6116	4	28	telangana	telangana	PROPN
cana-6116	4	29	state	state	PROPN
cana-6116	4	30	,	,	PUNCT
cana-6116	4	31	india	india	PROPN
cana-6116	4	32	3professor	3professor	NUM
cana-6116	4	33	of	of	ADP
cana-6116	4	34	mathematics	mathematics	PROPN
cana-6116	4	35	,	,	PUNCT
cana-6116	4	36	chaitanya	chaitanya	PROPN
cana-6116	4	37	(	(	PUNCT
cana-6116	4	38	deemed	deem	VERB
cana-6116	4	39	to	to	PART
cana-6116	4	40	be	be	AUX
cana-6116	4	41	university	university	NOUN
cana-6116	4	42	)	)	PUNCT
cana-6116	4	43	,	,	PUNCT
cana-6116	4	44	telangana	telangana	PROPN
cana-6116	4	45	state	state	PROPN
cana-6116	4	46	,	,	PUNCT
cana-6116	4	47	india	india	PROPN
cana-6116	4	48	*	*	PUNCT
cana-6116	4	49	corresponding	correspond	VERB
cana-6116	4	50	author	author	NOUN
cana-6116	4	51	:	:	PUNCT
cana-6116	4	52	sumathi_prasad73@yahoo.com	sumathi_prasad73@yahoo.com	X
cana-6116	4	53	article	article	NOUN
cana-6116	4	54	history	history	NOUN
cana-6116	4	55	:	:	PUNCT
cana-6116	4	56	received	receive	VERB
cana-6116	4	57	:	:	PUNCT
cana-6116	4	58	26	26	NUM
cana-6116	4	59	-	-	SYM
cana-6116	4	60	08	08	NUM
cana-6116	4	61	-	-	PUNCT
cana-6116	4	62	2025	2025	NUM
cana-6116	4	63	revised	revise	VERB
cana-6116	4	64	:	:	PUNCT
cana-6116	4	65	19	19	NUM
cana-6116	4	66	-	-	SYM
cana-6116	4	67	09	09	NUM
cana-6116	4	68	-	-	PUNCT
cana-6116	4	69	2025	2025	NUM
cana-6116	4	70	accepted	accept	VERB
cana-6116	4	71	:	:	PUNCT
cana-6116	4	72	06	06	NUM
cana-6116	4	73	-	-	SYM
cana-6116	4	74	10	10	NUM
cana-6116	4	75	-	-	PUNCT
cana-6116	4	76	2025	2025	NUM
cana-6116	4	77	abstract	abstract	NOUN
cana-6116	4	78	:	:	PUNCT
cana-6116	4	79	in	in	ADP
cana-6116	4	80	this	this	DET
cana-6116	4	81	paper	paper	NOUN
cana-6116	4	82	,	,	PUNCT
cana-6116	4	83	we	we	PRON
cana-6116	4	84	discuss	discuss	VERB
cana-6116	4	85	the	the	DET
cana-6116	4	86	stability	stability	NOUN
cana-6116	4	87	of	of	ADP
cana-6116	4	88	three	three	NUM
cana-6116	4	89	species	specie	NOUN
cana-6116	4	90	(	(	PUNCT
cana-6116	4	91	s1	s1	NOUN
cana-6116	4	92	,	,	PUNCT
cana-6116	4	93	s2	s2	NOUN
cana-6116	4	94	,	,	PUNCT
cana-6116	4	95	and	and	CCONJ
cana-6116	4	96	s3	s3	PROPN
cana-6116	4	97	)	)	PUNCT
cana-6116	4	98	commensalism	commensalism	NOUN
cana-6116	4	99	with	with	ADP
cana-6116	4	100	unlimited	unlimited	ADJ
cana-6116	4	101	resources	resource	NOUN
cana-6116	4	102	for	for	ADP
cana-6116	4	103	the	the	DET
cana-6116	4	104	second	second	ADJ
cana-6116	4	105	species	specie	NOUN
cana-6116	4	106	.	.	PUNCT
cana-6116	5	1	commensalism	commensalism	NOUN
cana-6116	5	2	is	be	AUX
cana-6116	5	3	a	a	DET
cana-6116	5	4	symbiotic	symbiotic	ADJ
cana-6116	5	5	interaction	interaction	NOUN
cana-6116	5	6	between	between	ADP
cana-6116	5	7	two	two	NUM
cana-6116	5	8	or	or	CCONJ
cana-6116	5	9	more	more	ADJ
cana-6116	5	10	populations	population	NOUN
cana-6116	5	11	that	that	PRON
cana-6116	5	12	live	live	VERB
cana-6116	5	13	together	together	ADV
cana-6116	5	14	,	,	PUNCT
cana-6116	5	15	and	and	CCONJ
cana-6116	5	16	in	in	ADP
cana-6116	5	17	which	which	PRON
cana-6116	5	18	only	only	ADV
cana-6116	5	19	one	one	NUM
cana-6116	5	20	of	of	ADP
cana-6116	5	21	the	the	DET
cana-6116	5	22	populations	population	NOUN
cana-6116	5	23	(	(	PUNCT
cana-6116	5	24	commensal	commensal	NOUN
cana-6116	5	25	)	)	PUNCT
cana-6116	5	26	is	be	AUX
cana-6116	5	27	benefited	benefit	VERB
cana-6116	5	28	while	while	SCONJ
cana-6116	5	29	the	the	DET
cana-6116	5	30	other	other	ADJ
cana-6116	5	31	(	(	PUNCT
cana-6116	5	32	host	host	NOUN
cana-6116	5	33	)	)	PUNCT
cana-6116	5	34	is	be	AUX
cana-6116	5	35	not	not	PART
cana-6116	5	36	affected	affect	VERB
cana-6116	5	37	.	.	PUNCT
cana-6116	6	1	the	the	DET
cana-6116	6	2	mathematical	mathematical	ADJ
cana-6116	6	3	model	model	NOUN
cana-6116	6	4	equations	equation	NOUN
cana-6116	6	5	constitute	constitute	VERB
cana-6116	6	6	a	a	DET
cana-6116	6	7	set	set	NOUN
cana-6116	6	8	of	of	ADP
cana-6116	6	9	three	three	NUM
cana-6116	6	10	first	first	ADJ
cana-6116	6	11	-	-	PUNCT
cana-6116	6	12	order	order	NOUN
cana-6116	6	13	non	non	ADJ
cana-6116	6	14	-	-	ADJ
cana-6116	6	15	linear	linear	ADJ
cana-6116	6	16	simultaneous	simultaneous	ADJ
cana-6116	6	17	differential	differential	ADJ
cana-6116	6	18	equations	equation	NOUN
cana-6116	6	19	in	in	ADP
cana-6116	6	20	the	the	DET
cana-6116	6	21	strengths	strength	NOUN
cana-6116	6	22	n1	n1	NOUN
cana-6116	6	23	,	,	PUNCT
cana-6116	6	24	n2	n2	ADJ
cana-6116	6	25	,	,	PUNCT
cana-6116	6	26	and	and	CCONJ
cana-6116	6	27	n3	n3	NOUN
cana-6116	6	28	of	of	ADP
cana-6116	6	29	s1	s1	NOUN
cana-6116	6	30	,	,	PUNCT
cana-6116	6	31	s2	s2	NOUN
cana-6116	6	32	,	,	PUNCT
cana-6116	6	33	and	and	CCONJ
cana-6116	6	34	s3	s3	PROPN
cana-6116	6	35	respectively	respectively	ADV
cana-6116	6	36	.	.	PUNCT
cana-6116	7	1	criteria	criterion	NOUN
cana-6116	7	2	for	for	ADP
cana-6116	7	3	the	the	DET
cana-6116	7	4	asymptotic	asymptotic	ADJ
cana-6116	7	5	stability	stability	NOUN
cana-6116	7	6	of	of	ADP
cana-6116	7	7	all	all	DET
cana-6116	7	8	the	the	DET
cana-6116	7	9	six	six	NUM
cana-6116	7	10	equilibrium	equilibrium	NOUN
cana-6116	7	11	states	state	NOUN
cana-6116	7	12	are	be	AUX
cana-6116	7	13	established	establish	VERB
cana-6116	7	14	.	.	PUNCT
cana-6116	8	1	the	the	DET
cana-6116	8	2	system	system	NOUN
cana-6116	8	3	would	would	AUX
cana-6116	8	4	be	be	AUX
cana-6116	8	5	stable	stable	ADJ
cana-6116	8	6	,	,	PUNCT
cana-6116	8	7	if	if	SCONJ
cana-6116	8	8	all	all	DET
cana-6116	8	9	the	the	DET
cana-6116	8	10	characteristic	characteristic	ADJ
cana-6116	8	11	roots	root	NOUN
cana-6116	8	12	are	be	AUX
cana-6116	8	13	negative	negative	ADJ
cana-6116	8	14	,	,	PUNCT
cana-6116	8	15	in	in	ADP
cana-6116	8	16	case	case	NOUN
cana-6116	8	17	they	they	PRON
cana-6116	8	18	are	be	AUX
cana-6116	8	19	real	real	ADJ
cana-6116	8	20	,	,	PUNCT
cana-6116	8	21	and	and	CCONJ
cana-6116	8	22	have	have	VERB
cana-6116	8	23	negative	negative	ADJ
cana-6116	8	24	real	real	ADJ
cana-6116	8	25	parts	part	NOUN
cana-6116	8	26	,	,	PUNCT
cana-6116	8	27	in	in	ADP
cana-6116	8	28	case	case	NOUN
cana-6116	8	29	they	they	PRON
cana-6116	8	30	are	be	AUX
cana-6116	8	31	complex	complex	ADJ
cana-6116	8	32	.	.	PUNCT
cana-6116	9	1	trajectories	trajectory	NOUN
cana-6116	9	2	of	of	ADP
cana-6116	9	3	the	the	DET
cana-6116	9	4	perturbations	perturbation	NOUN
cana-6116	9	5	over	over	ADP
cana-6116	9	6	the	the	DET
cana-6116	9	7	equilibrium	equilibrium	NOUN
cana-6116	9	8	points	point	NOUN
cana-6116	9	9	are	be	AUX
cana-6116	9	10	illustrated	illustrate	VERB
cana-6116	9	11	.	.	PUNCT
cana-6116	10	1	criteria	criterion	NOUN
cana-6116	10	2	for	for	ADP
cana-6116	10	3	the	the	DET
cana-6116	10	4	global	global	ADJ
cana-6116	10	5	stability	stability	NOUN
cana-6116	10	6	of	of	ADP
cana-6116	10	7	a	a	DET
cana-6116	10	8	normal	normal	ADJ
cana-6116	10	9	steady	steady	ADJ
cana-6116	10	10	state	state	NOUN
cana-6116	10	11	are	be	AUX
cana-6116	10	12	derived	derive	VERB
cana-6116	10	13	by	by	ADP
cana-6116	10	14	constructing	construct	VERB
cana-6116	10	15	suitable	suitable	ADJ
cana-6116	10	16	a	a	DET
cana-6116	10	17	lyapunov	lyapunov	NOUN
cana-6116	10	18	’s	’s	PART
cana-6116	10	19	function	function	NOUN
cana-6116	10	20	.	.	PUNCT
cana-6116	11	1	further	far	ADV
cana-6116	11	2	,	,	PUNCT
cana-6116	11	3	the	the	DET
cana-6116	11	4	numerical	numerical	ADJ
cana-6116	11	5	solutions	solution	NOUN
cana-6116	11	6	for	for	ADP
cana-6116	11	7	the	the	DET
cana-6116	11	8	growth	growth	NOUN
cana-6116	11	9	rate	rate	NOUN
cana-6116	11	10	equations	equation	NOUN
cana-6116	11	11	are	be	AUX
cana-6116	11	12	computed	compute	VERB
cana-6116	11	13	using	use	VERB
cana-6116	11	14	runga	runga	NOUN
cana-6116	11	15	-	-	PUNCT
cana-6116	11	16	kutta	kutta	PROPN
cana-6116	11	17	fourth	fourth	ADJ
cana-6116	11	18	-	-	PUNCT
cana-6116	11	19	order	order	NOUN
cana-6116	11	20	method	method	NOUN
cana-6116	11	21	.	.	PUNCT
cana-6116	12	1	keywords	keyword	NOUN
cana-6116	12	2	:	:	PUNCT
cana-6116	12	3	commensal	commensal	NOUN
cana-6116	12	4	,	,	PUNCT
cana-6116	12	5	equilibrium	equilibrium	NOUN
cana-6116	12	6	state	state	NOUN
cana-6116	12	7	,	,	PUNCT
cana-6116	12	8	host	host	NOUN
cana-6116	12	9	,	,	PUNCT
cana-6116	12	10	liapunov	liapunov	PROPN
cana-6116	12	11	’s	’s	PART
cana-6116	12	12	function	function	NOUN
cana-6116	12	13	,	,	PUNCT
cana-6116	12	14	stable	stable	ADJ
cana-6116	12	15	,	,	PUNCT
cana-6116	12	16	trajectories	trajectory	NOUN
cana-6116	12	17	,	,	PUNCT
cana-6116	12	18	unstable	unstable	ADJ
cana-6116	12	19	.	.	PUNCT
cana-6116	13	1	2010	2010	NUM
cana-6116	13	2	mathematics	mathematic	NOUN
cana-6116	13	3	subject	subject	ADJ
cana-6116	13	4	classification	classification	NOUN
cana-6116	13	5	:	:	PUNCT
cana-6116	13	6	92d25	92d25	NUM
cana-6116	13	7	;	;	PUNCT
cana-6116	13	8	92d40	92d40	NUM
cana-6116	13	9	introduction	introduction	NOUN
cana-6116	13	10	mathematical	mathematical	ADJ
cana-6116	13	11	models	model	NOUN
cana-6116	13	12	serve	serve	VERB
cana-6116	13	13	as	as	ADP
cana-6116	13	14	vital	vital	ADJ
cana-6116	13	15	tools	tool	NOUN
cana-6116	13	16	in	in	ADP
cana-6116	13	17	biological	biological	ADJ
cana-6116	13	18	research	research	NOUN
cana-6116	13	19	,	,	PUNCT
cana-6116	13	20	enabling	enable	VERB
cana-6116	13	21	scientists	scientist	NOUN
cana-6116	13	22	to	to	PART
cana-6116	13	23	analyze	analyze	VERB
cana-6116	13	24	complex	complex	ADJ
cana-6116	13	25	interactions	interaction	NOUN
cana-6116	13	26	through	through	ADP
cana-6116	13	27	iterative	iterative	NOUN
cana-6116	13	28	data	datum	NOUN
cana-6116	13	29	collection	collection	NOUN
cana-6116	13	30	and	and	CCONJ
cana-6116	13	31	theoretical	theoretical	ADJ
cana-6116	13	32	simulations	simulation	NOUN
cana-6116	13	33	.	.	PUNCT
cana-6116	14	1	when	when	SCONJ
cana-6116	14	2	properly	properly	ADV
cana-6116	14	3	constructed	construct	VERB
cana-6116	14	4	,	,	PUNCT
cana-6116	14	5	these	these	DET
cana-6116	14	6	models	model	NOUN
cana-6116	14	7	reveal	reveal	VERB
cana-6116	14	8	relationships	relationship	NOUN
cana-6116	14	9	between	between	ADP
cana-6116	14	10	physical	physical	ADJ
cana-6116	14	11	variables	variable	NOUN
cana-6116	14	12	and	and	CCONJ
cana-6116	14	13	underlying	underlying	ADJ
cana-6116	14	14	processes	process	NOUN
cana-6116	14	15	,	,	PUNCT
cana-6116	14	16	guiding	guide	VERB
cana-6116	14	17	experimental	experimental	ADJ
cana-6116	14	18	design	design	NOUN
cana-6116	14	19	and	and	CCONJ
cana-6116	14	20	data	datum	NOUN
cana-6116	14	21	interpretation	interpretation	NOUN
cana-6116	14	22	.	.	PUNCT
cana-6116	15	1	given	give	VERB
cana-6116	15	2	the	the	DET
cana-6116	15	3	complexity	complexity	NOUN
cana-6116	15	4	of	of	ADP
cana-6116	15	5	real	real	ADJ
cana-6116	15	6	-	-	PUNCT
cana-6116	15	7	life	life	NOUN
cana-6116	15	8	systems	system	NOUN
cana-6116	15	9	,	,	PUNCT
cana-6116	15	10	mathematical	mathematical	ADJ
cana-6116	15	11	formulations	formulation	NOUN
cana-6116	15	12	often	often	ADV
cana-6116	15	13	replicate	replicate	VERB
cana-6116	15	14	experimental	experimental	ADJ
cana-6116	15	15	outcomes	outcome	NOUN
cana-6116	15	16	without	without	ADP
cana-6116	15	17	fully	fully	ADV
cana-6116	15	18	representing	represent	VERB
cana-6116	15	19	the	the	DET
cana-6116	15	20	actual	actual	ADJ
cana-6116	15	21	mechanisms	mechanism	NOUN
cana-6116	15	22	.	.	PUNCT
cana-6116	16	1	despite	despite	SCONJ
cana-6116	16	2	this	this	PRON
cana-6116	16	3	,	,	PUNCT
cana-6116	16	4	such	such	ADJ
cana-6116	16	5	models	model	NOUN
cana-6116	16	6	are	be	AUX
cana-6116	16	7	invaluable	invaluable	ADJ
cana-6116	16	8	in	in	ADP
cana-6116	16	9	predicting	predict	VERB
cana-6116	16	10	system	system	NOUN
cana-6116	16	11	behavior	behavior	NOUN
cana-6116	16	12	and	and	CCONJ
cana-6116	16	13	exploring	explore	VERB
cana-6116	16	14	interactions	interaction	NOUN
cana-6116	16	15	among	among	ADP
cana-6116	16	16	different	different	ADJ
cana-6116	16	17	components	component	NOUN
cana-6116	16	18	.	.	PUNCT
cana-6116	17	1	empirical	empirical	ADJ
cana-6116	17	2	adjustments	adjustment	NOUN
cana-6116	17	3	allow	allow	VERB
cana-6116	17	4	researchers	researcher	NOUN
cana-6116	17	5	to	to	PART
cana-6116	17	6	refine	refine	VERB
cana-6116	17	7	models	model	NOUN
cana-6116	17	8	,	,	PUNCT
cana-6116	17	9	yielding	yield	VERB
cana-6116	17	10	insights	insight	NOUN
cana-6116	17	11	applicable	applicable	ADJ
cana-6116	17	12	to	to	ADP
cana-6116	17	13	real	real	ADJ
cana-6116	17	14	-	-	PUNCT
cana-6116	17	15	world	world	NOUN
cana-6116	17	16	scenarios	scenario	NOUN
cana-6116	17	17	.	.	PUNCT
cana-6116	18	1	several	several	ADJ
cana-6116	18	2	researchers	researcher	NOUN
cana-6116	18	3	have	have	AUX
cana-6116	18	4	contributed	contribute	VERB
cana-6116	18	5	to	to	ADP
cana-6116	18	6	the	the	DET
cana-6116	18	7	field	field	NOUN
cana-6116	18	8	of	of	ADP
cana-6116	18	9	biological	biological	ADJ
cana-6116	18	10	modeling	modeling	NOUN
cana-6116	18	11	,	,	PUNCT
cana-6116	18	12	ma	ma	PROPN
cana-6116	19	1	[	[	X
cana-6116	19	2	6	6	NUM
cana-6116	19	3	]	]	PUNCT
cana-6116	19	4	,	,	PUNCT
cana-6116	19	5	moghadas	moghadas	PROPN
cana-6116	20	1	[	[	X
cana-6116	20	2	7	7	NUM
cana-6116	20	3	]	]	PUNCT
cana-6116	20	4	,	,	PUNCT
cana-6116	20	5	murray	murray	PROPN
cana-6116	21	1	[	[	X
cana-6116	21	2	8	8	NUM
cana-6116	21	3	]	]	PUNCT
cana-6116	21	4	,	,	PUNCT
cana-6116	21	5	and	and	CCONJ
cana-6116	21	6	sze	sze	PROPN
cana-6116	21	7	-	-	PUNCT
cana-6116	21	8	bi	bi	PROPN
cana-6116	21	9	hsu	hsu	PROPN
cana-6116	22	1	[	[	X
cana-6116	22	2	30	30	NUM
cana-6116	22	3	]	]	PUNCT
cana-6116	22	4	established	establish	VERB
cana-6116	22	5	foundational	foundational	ADJ
cana-6116	22	6	frameworks	framework	NOUN
cana-6116	22	7	.	.	PUNCT
cana-6116	23	1	in	in	ADP
cana-6116	23	2	competitive	competitive	ADJ
cana-6116	23	3	ecosystems	ecosystem	NOUN
cana-6116	23	4	:	:	PUNCT
cana-6116	23	5	srinivas	srinivas	PROPN
cana-6116	24	1	[	[	X
cana-6116	24	2	29	29	NUM
cana-6116	24	3	]	]	PUNCT
cana-6116	24	4	analyzed	analyze	VERB
cana-6116	24	5	twoand	twoand	NOUN
cana-6116	24	6	threespecies	threespecie	NOUN
cana-6116	24	7	systems	system	NOUN
cana-6116	24	8	with	with	ADP
cana-6116	24	9	limited	limited	ADJ
cana-6116	24	10	/	/	SYM
cana-6116	24	11	unlimited	unlimited	ADJ
cana-6116	24	12	resources	resource	NOUN
cana-6116	24	13	.	.	PUNCT
cana-6116	25	1	prey	prey	NOUN
cana-6116	25	2	-	-	PUNCT
cana-6116	25	3	predator	predator	NOUN
cana-6116	25	4	dynamics	dynamic	NOUN
cana-6116	25	5	:	:	PUNCT
cana-6116	25	6	narayan	narayan	PROPN
cana-6116	26	1	[	[	X
cana-6116	26	2	9	9	NUM
cana-6116	26	3	]	]	PUNCT
cana-6116	26	4	studied	study	VERB
cana-6116	26	5	models	model	NOUN
cana-6116	26	6	incorporating	incorporate	VERB
cana-6116	26	7	prey	prey	NOUN
cana-6116	26	8	cover	cover	NOUN
cana-6116	26	9	and	and	CCONJ
cana-6116	26	10	alternate	alternate	ADJ
cana-6116	26	11	food	food	NOUN
cana-6116	26	12	sources	source	NOUN
cana-6116	26	13	for	for	ADP
cana-6116	26	14	predators	predator	NOUN
cana-6116	26	15	.	.	PUNCT
cana-6116	27	1	mailto:sumathi_prasad73@yahoo.com	mailto:sumathi_prasad73@yahoo.com	X
cana-6116	27	2	communications	communication	NOUN
cana-6116	27	3	on	on	ADP
cana-6116	27	4	applied	apply	VERB
cana-6116	27	5	nonlinear	nonlinear	ADJ
cana-6116	27	6	analysis	analysis	NOUN
cana-6116	27	7	issn	issn	NOUN
cana-6116	27	8	:	:	PUNCT
cana-6116	27	9	1074	1074	NUM
cana-6116	27	10	-	-	PUNCT
cana-6116	27	11	133x	133x	NUM
cana-6116	27	12	vol	vol	VERB
cana-6116	27	13	32	32	NUM
cana-6116	27	14	no	no	NOUN
cana-6116	27	15	.	.	PUNCT
cana-6116	28	1	10s	10	NOUN
cana-6116	28	2	(	(	PUNCT
cana-6116	28	3	2025	2025	NUM
cana-6116	28	4	)	)	PUNCT
cana-6116	28	5	3414	3414	NUM
cana-6116	28	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	28	7	commensalism	commensalism	NOUN
cana-6116	28	8	models	model	NOUN
cana-6116	28	9	:	:	PUNCT
cana-6116	28	10	kumar	kumar	PROPN
cana-6116	28	11	[	[	X
cana-6116	28	12	5	5	NUM
cana-6116	28	13	]	]	PUNCT
cana-6116	28	14	explored	explore	VERB
cana-6116	28	15	mathematical	mathematical	ADJ
cana-6116	28	16	representations	representation	NOUN
cana-6116	28	17	of	of	ADP
cana-6116	28	18	commensal	commensal	NOUN
cana-6116	28	19	relationships	relationship	NOUN
cana-6116	28	20	.	.	PUNCT
cana-6116	29	1	syn	syn	PROPN
cana-6116	29	2	-	-	PUNCT
cana-6116	29	3	ecosystems	ecosystem	NOUN
cana-6116	29	4	:	:	PUNCT
cana-6116	29	5	prasad	prasad	PROPN
cana-6116	30	1	[	[	X
cana-6116	30	2	10–27	10–27	NUM
cana-6116	30	3	]	]	PUNCT
cana-6116	30	4	investigated	investigate	VERB
cana-6116	30	5	continuous	continuous	ADJ
cana-6116	30	6	and	and	CCONJ
cana-6116	30	7	discrete	discrete	ADJ
cana-6116	30	8	models	model	NOUN
cana-6116	30	9	for	for	ADP
cana-6116	30	10	two-	two-	ADV
cana-6116	30	11	,	,	PUNCT
cana-6116	30	12	three-	three-	NOUN
cana-6116	30	13	,	,	PUNCT
cana-6116	30	14	and	and	CCONJ
cana-6116	30	15	four	four	NUM
cana-6116	30	16	-	-	PUNCT
cana-6116	30	17	species	specie	NOUN
cana-6116	30	18	systems	system	NOUN
cana-6116	30	19	.	.	PUNCT
cana-6116	31	1	ecology	ecology	NOUN
cana-6116	31	2	is	be	AUX
cana-6116	31	3	the	the	DET
cana-6116	31	4	study	study	NOUN
cana-6116	31	5	of	of	ADP
cana-6116	31	6	living	live	VERB
cana-6116	31	7	organisms	organism	NOUN
cana-6116	31	8	in	in	ADP
cana-6116	31	9	relation	relation	NOUN
cana-6116	31	10	to	to	ADP
cana-6116	31	11	their	their	PRON
cana-6116	31	12	environments	environment	NOUN
cana-6116	31	13	,	,	PUNCT
cana-6116	31	14	examining	examine	VERB
cana-6116	31	15	how	how	SCONJ
cana-6116	31	16	they	they	PRON
cana-6116	31	17	interact	interact	VERB
cana-6116	31	18	with	with	ADP
cana-6116	31	19	their	their	PRON
cana-6116	31	20	habitats	habitat	NOUN
cana-6116	31	21	and	and	CCONJ
cana-6116	31	22	each	each	DET
cana-6116	31	23	other	other	ADJ
cana-6116	31	24	.	.	PUNCT
cana-6116	32	1	as	as	ADP
cana-6116	32	2	a	a	DET
cana-6116	32	3	branch	branch	NOUN
cana-6116	32	4	of	of	ADP
cana-6116	32	5	evolutionary	evolutionary	ADJ
cana-6116	32	6	biology	biology	NOUN
cana-6116	32	7	,	,	PUNCT
cana-6116	32	8	it	it	PRON
cana-6116	32	9	seeks	seek	VERB
cana-6116	32	10	to	to	PART
cana-6116	32	11	understand	understand	VERB
cana-6116	32	12	the	the	DET
cana-6116	32	13	mechanisms	mechanism	NOUN
cana-6116	32	14	regulating	regulate	VERB
cana-6116	32	15	species	specie	NOUN
cana-6116	32	16	in	in	ADP
cana-6116	32	17	nature	nature	NOUN
cana-6116	32	18	,	,	PUNCT
cana-6116	32	19	including	include	VERB
cana-6116	32	20	population	population	NOUN
cana-6116	32	21	dynamics	dynamic	NOUN
cana-6116	32	22	,	,	PUNCT
cana-6116	32	23	species	species	NOUN
cana-6116	32	24	distribution	distribution	NOUN
cana-6116	32	25	,	,	PUNCT
cana-6116	32	26	and	and	CCONJ
cana-6116	32	27	ecological	ecological	ADJ
cana-6116	32	28	relationships	relationship	NOUN
cana-6116	32	29	such	such	ADJ
cana-6116	32	30	as	as	ADP
cana-6116	32	31	predator	predator	NOUN
cana-6116	32	32	-	-	PUNCT
cana-6116	32	33	prey	prey	NOUN
cana-6116	32	34	interactions	interaction	NOUN
cana-6116	32	35	and	and	CCONJ
cana-6116	32	36	competition	competition	NOUN
cana-6116	32	37	.	.	PUNCT
cana-6116	33	1	the	the	DET
cana-6116	33	2	field	field	NOUN
cana-6116	33	3	of	of	ADP
cana-6116	33	4	ecology	ecology	NOUN
cana-6116	33	5	is	be	AUX
cana-6116	33	6	broadly	broadly	ADV
cana-6116	33	7	categorized	categorize	VERB
cana-6116	33	8	into	into	ADP
cana-6116	33	9	autecology	autecology	NOUN
cana-6116	33	10	(	(	PUNCT
cana-6116	33	11	the	the	DET
cana-6116	33	12	study	study	NOUN
cana-6116	33	13	of	of	ADP
cana-6116	33	14	individual	individual	ADJ
cana-6116	33	15	species	specie	NOUN
cana-6116	33	16	populations	population	NOUN
cana-6116	33	17	)	)	PUNCT
cana-6116	33	18	and	and	CCONJ
cana-6116	33	19	synecology	synecology	NOUN
cana-6116	33	20	(	(	PUNCT
cana-6116	33	21	the	the	DET
cana-6116	33	22	study	study	NOUN
cana-6116	33	23	of	of	ADP
cana-6116	33	24	interactions	interaction	NOUN
cana-6116	33	25	among	among	ADP
cana-6116	33	26	multiple	multiple	ADJ
cana-6116	33	27	species	specie	NOUN
cana-6116	33	28	communities	community	NOUN
cana-6116	33	29	)	)	PUNCT
cana-6116	33	30	.	.	PUNCT
cana-6116	34	1	synecological	synecological	ADJ
cana-6116	34	2	research	research	NOUN
cana-6116	34	3	has	have	AUX
cana-6116	34	4	led	lead	VERB
cana-6116	34	5	to	to	ADP
cana-6116	34	6	the	the	DET
cana-6116	34	7	development	development	NOUN
cana-6116	34	8	of	of	ADP
cana-6116	34	9	the	the	DET
cana-6116	34	10	ecosystem	ecosystem	NOUN
cana-6116	34	11	concept	concept	NOUN
cana-6116	34	12	,	,	PUNCT
cana-6116	34	13	which	which	PRON
cana-6116	34	14	integrates	integrate	VERB
cana-6116	34	15	living	live	VERB
cana-6116	34	16	organisms	organism	NOUN
cana-6116	34	17	-	-	PUNCT
cana-6116	34	18	plants	plant	NOUN
cana-6116	34	19	,	,	PUNCT
cana-6116	34	20	animals	animal	NOUN
cana-6116	34	21	,	,	PUNCT
cana-6116	34	22	and	and	CCONJ
cana-6116	34	23	micro	micro	NOUN
cana-6116	34	24	-	-	NOUN
cana-6116	34	25	organisms	organism	NOUN
cana-6116	34	26	-	-	PUNCT
cana-6116	34	27	with	with	ADP
cana-6116	34	28	their	their	PRON
cana-6116	34	29	physical	physical	ADJ
cana-6116	34	30	surroundings	surrounding	NOUN
cana-6116	34	31	.	.	PUNCT
cana-6116	35	1	this	this	DET
cana-6116	35	2	foundational	foundational	ADJ
cana-6116	35	3	idea	idea	NOUN
cana-6116	35	4	emerged	emerge	VERB
cana-6116	35	5	from	from	ADP
cana-6116	35	6	the	the	DET
cana-6116	35	7	collective	collective	ADJ
cana-6116	35	8	work	work	NOUN
cana-6116	35	9	of	of	ADP
cana-6116	35	10	generations	generation	NOUN
cana-6116	35	11	of	of	ADP
cana-6116	35	12	biologists	biologist	NOUN
cana-6116	35	13	,	,	PUNCT
cana-6116	35	14	ecologists	ecologist	NOUN
cana-6116	35	15	,	,	PUNCT
cana-6116	35	16	and	and	CCONJ
cana-6116	35	17	botanists	botanist	NOUN
cana-6116	35	18	.	.	PUNCT
cana-6116	36	1	theoretical	theoretical	ADJ
cana-6116	36	2	ecology	ecology	NOUN
cana-6116	36	3	has	have	AUX
cana-6116	36	4	been	be	AUX
cana-6116	36	5	significantly	significantly	ADV
cana-6116	36	6	advanced	advance	VERB
cana-6116	36	7	by	by	ADP
cana-6116	36	8	researchers	researcher	NOUN
cana-6116	36	9	such	such	ADJ
cana-6116	36	10	as	as	ADP
cana-6116	36	11	gillman	gillman	PROPN
cana-6116	36	12	[	[	X
cana-6116	36	13	3	3	NUM
cana-6116	36	14	]	]	PUNCT
cana-6116	36	15	and	and	CCONJ
cana-6116	36	16	kot	kot	PROPN
cana-6116	37	1	[	[	X
cana-6116	37	2	4	4	NUM
cana-6116	37	3	]	]	PUNCT
cana-6116	37	4	,	,	PUNCT
cana-6116	37	5	with	with	ADP
cana-6116	37	6	contributions	contribution	NOUN
cana-6116	37	7	from	from	ADP
cana-6116	37	8	both	both	DET
cana-6116	37	9	ecologists	ecologist	NOUN
cana-6116	37	10	and	and	CCONJ
cana-6116	37	11	mathematicians	mathematician	NOUN
cana-6116	37	12	.	.	PUNCT
cana-6116	38	1	mathematical	mathematical	ADJ
cana-6116	38	2	ecology	ecology	NOUN
cana-6116	38	3	,	,	PUNCT
cana-6116	38	4	in	in	ADP
cana-6116	38	5	particular	particular	ADJ
cana-6116	38	6	,	,	PUNCT
cana-6116	38	7	is	be	AUX
cana-6116	38	8	divided	divide	VERB
cana-6116	38	9	into	into	ADP
cana-6116	38	10	autecology	autecology	NOUN
cana-6116	38	11	and	and	CCONJ
cana-6116	38	12	synecology	synecology	NOUN
cana-6116	38	13	,	,	PUNCT
cana-6116	38	14	as	as	SCONJ
cana-6116	38	15	explored	explore	VERB
cana-6116	38	16	in	in	ADP
cana-6116	38	17	the	the	DET
cana-6116	38	18	works	work	NOUN
cana-6116	38	19	of	of	ADP
cana-6116	38	20	anna	anna	PROPN
cana-6116	38	21	sher	sher	PROPN
cana-6116	39	1	[	[	X
cana-6116	39	2	1	1	NUM
cana-6116	39	3	]	]	PUNCT
cana-6116	39	4	,	,	PUNCT
cana-6116	39	5	arumugam	arumugam	ADJ
cana-6116	40	1	[	[	X
cana-6116	40	2	2	2	NUM
cana-6116	40	3	]	]	PUNCT
cana-6116	40	4	,	,	PUNCT
cana-6116	40	5	and	and	CCONJ
cana-6116	40	6	sharma	sharma	PROPN
cana-6116	41	1	[	[	X
cana-6116	41	2	28	28	NUM
cana-6116	41	3	]	]	PUNCT
cana-6116	41	4	.	.	PUNCT
cana-6116	42	1	notation	notation	NOUN
cana-6116	42	2	(	(	PUNCT
cana-6116	42	3	)	)	PUNCT
cana-6116	42	4	in	in	ADP
cana-6116	42	5	t	t	PROPN
cana-6116	42	6	:	:	PUNCT
cana-6116	42	7	the	the	DET
cana-6116	42	8	population	population	NOUN
cana-6116	42	9	strength	strength	NOUN
cana-6116	42	10	of	of	ADP
cana-6116	42	11	is	be	AUX
cana-6116	42	12	at	at	ADP
cana-6116	42	13	time	time	NOUN
cana-6116	42	14	t	t	NOUN
cana-6116	42	15	,	,	PUNCT
cana-6116	42	16	1,2,3i	1,2,3i	PROPN
cana-6116	42	17	=	=	SYM
cana-6116	42	18	t	t	PROPN
cana-6116	42	19	:	:	PUNCT
cana-6116	42	20	time	time	NOUN
cana-6116	42	21	instant	instant	PROPN
cana-6116	42	22	ia	ia	PROPN
cana-6116	42	23	:	:	PUNCT
cana-6116	42	24	natural	natural	ADJ
cana-6116	42	25	growth	growth	NOUN
cana-6116	42	26	rate	rate	NOUN
cana-6116	42	27	of	of	ADP
cana-6116	42	28	is	be	AUX
cana-6116	42	29	,	,	PUNCT
cana-6116	42	30	1,2,3i	1,2,3i	NUM
cana-6116	42	31	=	=	SYM
cana-6116	42	32	iia	iia	NOUN
cana-6116	42	33	:	:	PUNCT
cana-6116	42	34	self	self	NOUN
cana-6116	42	35	inhibition	inhibition	NOUN
cana-6116	42	36	coefficients	coefficient	NOUN
cana-6116	42	37	of	of	ADP
cana-6116	42	38	is	be	AUX
cana-6116	42	39	,	,	PUNCT
cana-6116	42	40	1,3i	1,3i	NUM
cana-6116	42	41	=	=	NOUN
cana-6116	42	42	12a	12a	NOUN
cana-6116	42	43	:	:	PUNCT
cana-6116	42	44	interaction	interaction	NOUN
cana-6116	42	45	coefficient	coefficient	NOUN
cana-6116	42	46	of	of	ADP
cana-6116	42	47	1s	1s	NUM
cana-6116	42	48	due	due	ADP
cana-6116	42	49	to	to	ADP
cana-6116	42	50	2s	2s	PROPN
cana-6116	42	51	21	21	NUM
cana-6116	42	52	23,a	23,a	NOUN
cana-6116	42	53	a	a	DET
cana-6116	42	54	:	:	PUNCT
cana-6116	42	55	interaction	interaction	NOUN
cana-6116	42	56	coefficients	coefficient	NOUN
cana-6116	42	57	of	of	ADP
cana-6116	42	58	2s	2s	NUM
cana-6116	42	59	due	due	ADP
cana-6116	42	60	to	to	ADP
cana-6116	42	61	1s	1s	NUM
cana-6116	42	62	and	and	CCONJ
cana-6116	42	63	3s	3s	NUM
cana-6116	42	64	31a	31a	NUM
cana-6116	42	65	:	:	PUNCT
cana-6116	42	66	intersection	intersection	NOUN
cana-6116	42	67	coefficients	coefficient	NOUN
cana-6116	42	68	of	of	ADP
cana-6116	42	69	3s	3s	NUM
cana-6116	42	70	due	due	ADJ
cana-6116	42	71	to	to	ADP
cana-6116	42	72	1s	1s	NUM
cana-6116	43	1	i	i	PRON
cana-6116	43	2	i	i	PRON
cana-6116	43	3	ii	ii	VERB
cana-6116	43	4	a	a	DET
cana-6116	43	5	k	k	PROPN
cana-6116	43	6	a	a	X
cana-6116	44	1	=	=	X
cana-6116	44	2	:	:	PUNCT
cana-6116	44	3	carrying	carry	VERB
cana-6116	44	4	capacities	capacity	NOUN
cana-6116	44	5	of	of	ADP
cana-6116	44	6	is	be	AUX
cana-6116	44	7	,	,	PUNCT
cana-6116	44	8	1,3i	1,3i	NUM
cana-6116	44	9	=	=	SYM
cana-6116	44	10	further	far	ADV
cana-6116	44	11	the	the	DET
cana-6116	44	12	variables	variable	NOUN
cana-6116	44	13	1	1	NUM
cana-6116	44	14	2	2	NUM
cana-6116	44	15	3	3	NUM
cana-6116	44	16	,	,	PUNCT
cana-6116	44	17	,	,	PUNCT
cana-6116	44	18	n	n	CCONJ
cana-6116	44	19	n	n	CCONJ
cana-6116	44	20	n	n	NOUN
cana-6116	44	21	are	be	AUX
cana-6116	44	22	non	non	ADJ
cana-6116	44	23	-	-	ADJ
cana-6116	44	24	negative	negative	ADJ
cana-6116	44	25	and	and	CCONJ
cana-6116	44	26	the	the	DET
cana-6116	44	27	model	model	NOUN
cana-6116	44	28	parameters	parameter	NOUN
cana-6116	44	29	1	1	NUM
cana-6116	44	30	2	2	NUM
cana-6116	44	31	3	3	NUM
cana-6116	44	32	21	21	NUM
cana-6116	44	33	,	,	PUNCT
cana-6116	44	34	,	,	PUNCT
cana-6116	44	35	,	,	PUNCT
cana-6116	44	36	,	,	PUNCT
cana-6116	44	37	a	a	DET
cana-6116	44	38	a	a	PRON
cana-6116	44	39	a	a	DET
cana-6116	44	40	a	a	DET
cana-6116	44	41	11	11	NUM
cana-6116	44	42	12	12	NUM
cana-6116	44	43	31	31	NUM
cana-6116	44	44	33	33	NUM
cana-6116	44	45	23	23	NUM
cana-6116	44	46	1	1	NUM
cana-6116	44	47	3	3	NUM
cana-6116	44	48	,	,	PUNCT
cana-6116	44	49	,	,	PUNCT
cana-6116	44	50	,	,	PUNCT
cana-6116	44	51	,	,	PUNCT
cana-6116	44	52	,	,	PUNCT
cana-6116	44	53	,	,	PUNCT
cana-6116	44	54	a	a	DET
cana-6116	44	55	a	a	PRON
cana-6116	44	56	a	a	DET
cana-6116	44	57	a	a	DET
cana-6116	44	58	a	a	DET
cana-6116	44	59	k	k	X
cana-6116	44	60	k	k	PROPN
cana-6116	44	61	are	be	AUX
cana-6116	44	62	assumed	assume	VERB
cana-6116	44	63	to	to	PART
cana-6116	44	64	be	be	AUX
cana-6116	44	65	non	non	ADJ
cana-6116	44	66	-	-	ADJ
cana-6116	44	67	negative	negative	ADJ
cana-6116	44	68	constants	constant	NOUN
cana-6116	44	69	.	.	PUNCT
cana-6116	45	1	2	2	X
cana-6116	45	2	.	.	X
cana-6116	45	3	basic	basic	ADJ
cana-6116	45	4	equations	equation	NOUN
cana-6116	45	5	the	the	DET
cana-6116	45	6	model	model	NOUN
cana-6116	45	7	equations	equation	NOUN
cana-6116	45	8	for	for	ADP
cana-6116	45	9	syn	syn	PROPN
cana-6116	45	10	ecosystem	ecosystem	PROPN
cana-6116	45	11	is	be	AUX
cana-6116	45	12	given	give	VERB
cana-6116	45	13	by	by	ADP
cana-6116	45	14	the	the	DET
cana-6116	45	15	following	follow	VERB
cana-6116	45	16	system	system	NOUN
cana-6116	45	17	of	of	ADP
cana-6116	45	18	first	first	ADJ
cana-6116	45	19	order	order	NOUN
cana-6116	45	20	nonlinear	nonlinear	ADJ
cana-6116	45	21	ordinary	ordinary	ADJ
cana-6116	45	22	differential	differential	ADJ
cana-6116	45	23	equations	equation	NOUN
cana-6116	45	24	.	.	PUNCT
cana-6116	46	1	21	21	NUM
cana-6116	46	2	1	1	NUM
cana-6116	46	3	1	1	NUM
cana-6116	46	4	11	11	NUM
cana-6116	46	5	1	1	NUM
cana-6116	46	6	12	12	NUM
cana-6116	46	7	1	1	NUM
cana-6116	46	8	2	2	NUM
cana-6116	46	9	dn	dn	NOUN
cana-6116	46	10	a	a	PRON
cana-6116	46	11	n	n	NOUN
cana-6116	46	12	a	a	PRON
cana-6116	46	13	n	n	NOUN
cana-6116	46	14	a	a	DET
cana-6116	46	15	n	n	CCONJ
cana-6116	46	16	n	n	ADV
cana-6116	46	17	dt	dt	NOUN
cana-6116	46	18	=	=	SYM
cana-6116	47	1	−	−	PROPN
cana-6116	47	2	+	+	CCONJ
cana-6116	47	3	(	(	PUNCT
cana-6116	47	4	1	1	X
cana-6116	47	5	)	)	PUNCT
cana-6116	47	6	communications	communication	NOUN
cana-6116	47	7	on	on	ADP
cana-6116	47	8	applied	apply	VERB
cana-6116	47	9	nonlinear	nonlinear	ADJ
cana-6116	47	10	analysis	analysis	NOUN
cana-6116	47	11	issn	issn	NOUN
cana-6116	47	12	:	:	PUNCT
cana-6116	47	13	1074	1074	NUM
cana-6116	47	14	-	-	PUNCT
cana-6116	47	15	133x	133x	NUM
cana-6116	47	16	vol	vol	VERB
cana-6116	47	17	32	32	NUM
cana-6116	47	18	no	no	NOUN
cana-6116	47	19	.	.	PUNCT
cana-6116	48	1	10s	10	NOUN
cana-6116	48	2	(	(	PUNCT
cana-6116	48	3	2025	2025	NUM
cana-6116	48	4	)	)	PUNCT
cana-6116	48	5	3415	3415	NUM
cana-6116	49	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	49	2	2	2	NUM
cana-6116	49	3	2	2	NUM
cana-6116	49	4	2	2	NUM
cana-6116	49	5	21	21	NUM
cana-6116	49	6	1	1	NUM
cana-6116	49	7	2	2	NUM
cana-6116	49	8	23	23	NUM
cana-6116	49	9	2	2	NUM
cana-6116	49	10	3	3	NUM
cana-6116	49	11	dn	dn	NOUN
cana-6116	49	12	a	a	PRON
cana-6116	49	13	n	n	NOUN
cana-6116	49	14	a	a	DET
cana-6116	49	15	n	n	CCONJ
cana-6116	49	16	n	n	ADP
cana-6116	49	17	a	a	PRON
cana-6116	49	18	n	n	NOUN
cana-6116	49	19	n	n	ADV
cana-6116	49	20	dt	dt	NOUN
cana-6116	49	21	=	=	PUNCT
cana-6116	50	1	+	+	CCONJ
cana-6116	50	2	+	+	CCONJ
cana-6116	50	3	(	(	PUNCT
cana-6116	50	4	2	2	NUM
cana-6116	50	5	)	)	PUNCT
cana-6116	50	6	23	23	NUM
cana-6116	50	7	3	3	NUM
cana-6116	50	8	3	3	NUM
cana-6116	50	9	33	33	NUM
cana-6116	50	10	3	3	NUM
cana-6116	50	11	31	31	NUM
cana-6116	50	12	1	1	NUM
cana-6116	50	13	3	3	NUM
cana-6116	50	14	dn	dn	NOUN
cana-6116	50	15	a	a	PRON
cana-6116	50	16	n	n	NOUN
cana-6116	50	17	a	a	PRON
cana-6116	50	18	n	n	NOUN
cana-6116	50	19	a	a	DET
cana-6116	50	20	n	n	CCONJ
cana-6116	50	21	n	n	ADV
cana-6116	50	22	dt	dt	NOUN
cana-6116	50	23	=	=	SYM
cana-6116	51	1	−	−	PROPN
cana-6116	51	2	+	+	CCONJ
cana-6116	51	3	(	(	PUNCT
cana-6116	51	4	3	3	NUM
cana-6116	51	5	)	)	SYM
cana-6116	51	6	3	3	NUM
cana-6116	51	7	.	.	PUNCT
cana-6116	52	1	equilibrium	equilibrium	NOUN
cana-6116	52	2	states	state	NOUN
cana-6116	52	3	:	:	PUNCT
cana-6116	52	4	at	at	ADP
cana-6116	52	5	0	0	NUM
cana-6116	52	6	,	,	PUNCT
cana-6116	52	7	1,2,3idn	1,2,3idn	NUM
cana-6116	53	1	i	i	PRON
cana-6116	53	2	dt	dt	X
cana-6116	53	3	=	=	SYM
cana-6116	54	1	=	=	NOUN
cana-6116	54	2	,	,	PUNCT
cana-6116	54	3	the	the	DET
cana-6116	54	4	equations	equation	NOUN
cana-6116	54	5	(	(	PUNCT
cana-6116	54	6	1	1	NUM
cana-6116	54	7	)	)	PUNCT
cana-6116	54	8	,	,	PUNCT
cana-6116	54	9	(	(	PUNCT
cana-6116	54	10	2	2	X
cana-6116	54	11	)	)	PUNCT
cana-6116	54	12	&	&	CCONJ
cana-6116	54	13	(	(	PUNCT
cana-6116	54	14	3	3	X
cana-6116	54	15	)	)	PUNCT
cana-6116	54	16	have	have	VERB
cana-6116	54	17	six	six	NUM
cana-6116	54	18	equilibrium	equilibrium	NOUN
cana-6116	54	19	states	state	NOUN
cana-6116	54	20	given	give	VERB
cana-6116	54	21	by	by	ADP
cana-6116	54	22	(	(	PUNCT
cana-6116	54	23	i	i	NOUN
cana-6116	54	24	)	)	PUNCT
cana-6116	54	25	fully	fully	ADV
cana-6116	54	26	washed	wash	VERB
cana-6116	54	27	-	-	PUNCT
cana-6116	54	28	out	out	ADP
cana-6116	54	29	state	state	NOUN
cana-6116	54	30	1	1	NUM
cana-6116	54	31	1	1	NUM
cana-6116	54	32	2	2	NUM
cana-6116	54	33	3	3	NUM
cana-6116	54	34	:	:	SYM
cana-6116	54	35	0	0	NUM
cana-6116	54	36	,	,	PUNCT
cana-6116	54	37	0	0	NUM
cana-6116	54	38	,	,	PUNCT
cana-6116	54	39	0e	0e	NOUN
cana-6116	54	40	n	n	CCONJ
cana-6116	54	41	n	n	CCONJ
cana-6116	54	42	n=	n=	ADJ
cana-6116	54	43	=	=	SYM
cana-6116	54	44	=	=	SYM
cana-6116	54	45	(	(	PUNCT
cana-6116	54	46	ii	ii	NOUN
cana-6116	54	47	)	)	PUNCT
cana-6116	54	48	states	state	NOUN
cana-6116	54	49	in	in	ADP
cana-6116	54	50	which	which	PRON
cana-6116	54	51	two	two	NUM
cana-6116	54	52	of	of	ADP
cana-6116	54	53	the	the	DET
cana-6116	54	54	three	three	NUM
cana-6116	54	55	species	specie	NOUN
cana-6116	54	56	are	be	AUX
cana-6116	54	57	washed	wash	VERB
cana-6116	54	58	out	out	ADP
cana-6116	54	59	and	and	CCONJ
cana-6116	54	60	the	the	DET
cana-6116	54	61	third	third	NOUN
cana-6116	54	62	is	be	AUX
cana-6116	54	63	not	not	PART
cana-6116	54	64	.	.	PUNCT
cana-6116	55	1	2	2	NUM
cana-6116	55	2	1	1	NUM
cana-6116	55	3	2	2	NUM
cana-6116	55	4	3	3	NUM
cana-6116	55	5	3	3	NUM
cana-6116	55	6	:	:	SYM
cana-6116	55	7	0	0	NUM
cana-6116	55	8	,	,	PUNCT
cana-6116	55	9	0,e	0,e	NOUN
cana-6116	55	10	n	n	CCONJ
cana-6116	55	11	n	n	CCONJ
cana-6116	55	12	n	n	NOUN
cana-6116	55	13	k=	k=	NOUN
cana-6116	55	14	=	=	PUNCT
cana-6116	56	1	=	=	SYM
cana-6116	56	2	3	3	NUM
cana-6116	56	3	1	1	NUM
cana-6116	56	4	1	1	NUM
cana-6116	56	5	2	2	NUM
cana-6116	56	6	3	3	NUM
cana-6116	56	7	:	:	PUNCT
cana-6116	56	8	,	,	PUNCT
cana-6116	56	9	0	0	NUM
cana-6116	56	10	,	,	PUNCT
cana-6116	56	11	0e	0e	NOUN
cana-6116	56	12	n	n	CCONJ
cana-6116	56	13	k	k	PROPN
cana-6116	56	14	n	n	CCONJ
cana-6116	56	15	n=	n=	ADJ
cana-6116	56	16	=	=	SYM
cana-6116	56	17	=	=	SYM
cana-6116	56	18	(	(	PUNCT
cana-6116	56	19	iii	iii	NOUN
cana-6116	56	20	)	)	PUNCT
cana-6116	56	21	only	only	ADV
cana-6116	56	22	one	one	NUM
cana-6116	56	23	of	of	ADP
cana-6116	56	24	the	the	DET
cana-6116	56	25	three	three	NUM
cana-6116	56	26	species	specie	NOUN
cana-6116	56	27	is	be	AUX
cana-6116	56	28	washed	wash	VERB
cana-6116	56	29	out	out	ADP
cana-6116	56	30	while	while	SCONJ
cana-6116	56	31	the	the	DET
cana-6116	56	32	other	other	ADJ
cana-6116	56	33	two	two	NUM
cana-6116	56	34	are	be	AUX
cana-6116	56	35	not	not	PART
cana-6116	56	36	.	.	PUNCT
cana-6116	57	1	2	2	NUM
cana-6116	57	2	11	11	NUM
cana-6116	57	3	2	2	NUM
cana-6116	57	4	4	4	NUM
cana-6116	57	5	1	1	NUM
cana-6116	57	6	2	2	NUM
cana-6116	57	7	2	2	NUM
cana-6116	57	8	3	3	NUM
cana-6116	57	9	2	2	NUM
cana-6116	57	10	1	1	NUM
cana-6116	57	11	21	21	NUM
cana-6116	57	12	12	12	NUM
cana-6116	57	13	21	21	NUM
cana-6116	57	14	1	1	NUM
cana-6116	57	15	:	:	PUNCT
cana-6116	57	16	,	,	PUNCT
cana-6116	57	17	,	,	PUNCT
cana-6116	57	18	0	0	NUM
cana-6116	57	19	;	;	PUNCT
cana-6116	57	20	0	0	NUM
cana-6116	57	21	a	a	DET
cana-6116	57	22	a	a	DET
cana-6116	57	23	a	a	DET
cana-6116	57	24	e	e	NOUN
cana-6116	57	25	n	n	CCONJ
cana-6116	57	26	n	n	CCONJ
cana-6116	57	27	n	n	PROPN
cana-6116	57	28	where	where	SCONJ
cana-6116	57	29	a	a	DET
cana-6116	57	30	a	a	DET
cana-6116	57	31	a	a	DET
cana-6116	57	32	a	a	DET
cana-6116	57	33			NOUN
cana-6116	57	34			NOUN
cana-6116	57	35			NOUN
cana-6116	57	36			NOUN
cana-6116	57	37	=	=	PUNCT
cana-6116	57	38	−	−	PROPN
cana-6116	57	39	=	=	PUNCT
cana-6116	57	40	−	−	PROPN
cana-6116	58	1	=	=	PUNCT
cana-6116	58	2	=	=	PUNCT
cana-6116	58	3	+	+	PUNCT
cana-6116	58	4			PROPN
cana-6116	58	5			CCONJ
cana-6116	58	6			PROPN
cana-6116	58	7			NOUN
cana-6116	58	8	31	31	NUM
cana-6116	58	9	1	1	NUM
cana-6116	58	10	5	5	NUM
cana-6116	58	11	1	1	NUM
cana-6116	58	12	1	1	NUM
cana-6116	58	13	2	2	NUM
cana-6116	58	14	3	3	NUM
cana-6116	58	15	3	3	NUM
cana-6116	58	16	33	33	NUM
cana-6116	58	17	:	:	PUNCT
cana-6116	58	18	,	,	PUNCT
cana-6116	58	19	0	0	NUM
cana-6116	58	20	,	,	PUNCT
cana-6116	58	21	a	a	DET
cana-6116	58	22	k	k	PROPN
cana-6116	58	23	e	e	PROPN
cana-6116	58	24	n	n	CCONJ
cana-6116	58	25	k	k	PROPN
cana-6116	58	26	n	n	CCONJ
cana-6116	58	27	n	n	PROPN
cana-6116	58	28	k	k	PROPN
cana-6116	58	29	a	a	X
cana-6116	58	30	=	=	X
cana-6116	58	31	=	=	SYM
cana-6116	58	32	=	=	SYM
cana-6116	58	33	+	+	CCONJ
cana-6116	58	34	(	(	PUNCT
cana-6116	58	35	iv	iv	X
cana-6116	58	36	)	)	PUNCT
cana-6116	58	37	the	the	DET
cana-6116	58	38	normal	normal	ADJ
cana-6116	58	39	steady	steady	ADJ
cana-6116	58	40	state	state	NOUN
cana-6116	58	41	31	31	NUM
cana-6116	58	42	1	1	NUM
cana-6116	58	43	11	11	NUM
cana-6116	58	44	1	1	NUM
cana-6116	58	45	6	6	NUM
cana-6116	58	46	1	1	NUM
cana-6116	58	47	2	2	NUM
cana-6116	58	48	3	3	NUM
cana-6116	58	49	12	12	NUM
cana-6116	58	50	12	12	NUM
cana-6116	58	51	:	:	PUNCT
cana-6116	58	52	,	,	PUNCT
cana-6116	58	53	,	,	PUNCT
cana-6116	58	54	a	a	DET
cana-6116	58	55	a	a	DET
cana-6116	58	56	e	e	NOUN
cana-6116	58	57	n	n	CCONJ
cana-6116	58	58	n	n	PROPN
cana-6116	58	59	n	n	ADV
cana-6116	58	60	a	a	PRON
cana-6116	58	61	a	a	DET
cana-6116	58	62			NUM
cana-6116	58	63			NOUN
cana-6116	58	64			X
cana-6116	58	65			X
cana-6116	58	66			X
cana-6116	58	67			NOUN
cana-6116	58	68			NOUN
cana-6116	58	69	=	=	PUNCT
cana-6116	59	1	−	−	PROPN
cana-6116	59	2	=	=	PUNCT
cana-6116	60	1	−	−	PROPN
cana-6116	61	1	+	+	CCONJ
cana-6116	61	2	=	=	PROPN
cana-6116	61	3			ADJ
cana-6116	61	4			CCONJ
cana-6116	61	5			ADJ
cana-6116	61	6			NOUN
cana-6116	61	7	where	where	SCONJ
cana-6116	61	8	(	(	PUNCT
cana-6116	61	9	)	)	PUNCT
cana-6116	61	10	(	(	PUNCT
cana-6116	61	11	)	)	PUNCT
cana-6116	61	12	31	31	NUM
cana-6116	61	13	23	23	NUM
cana-6116	61	14	21	21	NUM
cana-6116	61	15	33	33	NUM
cana-6116	61	16	1	1	NUM
cana-6116	61	17	3	3	NUM
cana-6116	61	18	23	23	NUM
cana-6116	61	19	2	2	NUM
cana-6116	61	20	33	33	NUM
cana-6116	61	21	3	3	NUM
cana-6116	61	22	3	3	NUM
cana-6116	61	23	21	21	NUM
cana-6116	61	24	2	2	NUM
cana-6116	61	25	310	310	NUM
cana-6116	61	26	;	;	PUNCT
cana-6116	61	27	0;a	0;a	NUM
cana-6116	61	28	a	a	DET
cana-6116	61	29	a	a	DET
cana-6116	61	30	a	a	DET
cana-6116	61	31	a	a	DET
cana-6116	61	32	a	a	DET
cana-6116	61	33	a	a	DET
cana-6116	61	34	a	a	DET
cana-6116	61	35	a	a	DET
cana-6116	61	36	a	a	DET
cana-6116	61	37	a	a	DET
cana-6116	61	38	a	a	ADJ
cana-6116	61	39			NOUN
cana-6116	61	40	=	=	ADJ
cana-6116	61	41	+	+	CCONJ
cana-6116	61	42			ADJ
cana-6116	61	43	=	=	PUNCT
cana-6116	62	1	+	+	CCONJ
cana-6116	62	2			X
cana-6116	62	3	=	=	PUNCT
cana-6116	62	4	−	−	PROPN
cana-6116	62	5	4	4	X
cana-6116	62	6	.	.	PUNCT
cana-6116	63	1	stability	stability	NOUN
cana-6116	63	2	analysis	analysis	NOUN
cana-6116	63	3	of	of	ADP
cana-6116	63	4	the	the	DET
cana-6116	63	5	equilibrium	equilibrium	NOUN
cana-6116	63	6	states	state	NOUN
cana-6116	63	7	:	:	PUNCT
cana-6116	63	8	let	let	VERB
cana-6116	63	9	(	(	PUNCT
cana-6116	63	10	)	)	SYM
cana-6116	63	11	1	1	NUM
cana-6116	63	12	2	2	NUM
cana-6116	63	13	3	3	NUM
cana-6116	63	14	,	,	PUNCT
cana-6116	63	15	,	,	PUNCT
cana-6116	63	16	n	n	CCONJ
cana-6116	63	17	n	n	CCONJ
cana-6116	63	18	n	n	CCONJ
cana-6116	63	19	n	n	CCONJ
cana-6116	63	20	n	n	CCONJ
cana-6116	63	21	u=	u=	NOUN
cana-6116	63	22	=	=	PUNCT
cana-6116	64	1	+	+	CCONJ
cana-6116	64	2	where	where	SCONJ
cana-6116	64	3	(	(	PUNCT
cana-6116	64	4	)	)	SYM
cana-6116	64	5	1	1	NUM
cana-6116	64	6	2	2	NUM
cana-6116	64	7	3	3	NUM
cana-6116	64	8	,	,	PUNCT
cana-6116	64	9	,	,	PUNCT
cana-6116	64	10	t	t	PROPN
cana-6116	64	11	u	u	NOUN
cana-6116	64	12	u	u	X
cana-6116	64	13	u	u	NOUN
cana-6116	64	14	u=	u=	ADV
cana-6116	64	15	is	be	AUX
cana-6116	64	16	very	very	ADV
cana-6116	64	17	small	small	ADJ
cana-6116	64	18	perturbation	perturbation	NOUN
cana-6116	64	19	upon	upon	SCONJ
cana-6116	64	20	the	the	DET
cana-6116	64	21	equilibrium	equilibrium	NOUN
cana-6116	64	22	point	point	NOUN
cana-6116	64	23	(	(	PUNCT
cana-6116	64	24	)	)	SYM
cana-6116	64	25	1	1	NUM
cana-6116	64	26	2	2	NUM
cana-6116	64	27	3	3	NUM
cana-6116	64	28	,	,	PUNCT
cana-6116	64	29	,	,	PUNCT
cana-6116	64	30	n	n	CCONJ
cana-6116	64	31	n	n	CCONJ
cana-6116	64	32	n	n	CCONJ
cana-6116	64	33	n=	n=	ADJ
cana-6116	64	34	.	.	PUNCT
cana-6116	65	1	the	the	DET
cana-6116	65	2	basic	basic	ADJ
cana-6116	65	3	equations	equation	NOUN
cana-6116	65	4	(	(	PUNCT
cana-6116	65	5	1	1	NUM
cana-6116	65	6	)	)	PUNCT
cana-6116	65	7	,	,	PUNCT
cana-6116	65	8	(	(	PUNCT
cana-6116	65	9	2	2	X
cana-6116	65	10	)	)	PUNCT
cana-6116	65	11	&	&	CCONJ
cana-6116	65	12	(	(	PUNCT
cana-6116	65	13	3	3	X
cana-6116	65	14	)	)	PUNCT
cana-6116	65	15	are	be	AUX
cana-6116	65	16	quasilinearized	quasilinearize	VERB
cana-6116	65	17	to	to	PART
cana-6116	65	18	obtain	obtain	VERB
cana-6116	65	19	the	the	DET
cana-6116	65	20	equations	equation	NOUN
cana-6116	65	21	for	for	ADP
cana-6116	65	22	the	the	DET
cana-6116	65	23	perturbed	perturb	VERB
cana-6116	65	24	state	state	NOUN
cana-6116	65	25	as	as	SCONJ
cana-6116	65	26	        	        	SPACE
cana-6116	65	27	du	du	X
cana-6116	65	28	au	au	X
cana-6116	65	29	dt	dt	PROPN
cana-6116	65	30	=	=	PUNCT
cana-6116	65	31	(	(	PUNCT
cana-6116	65	32	4	4	X
cana-6116	65	33	)	)	PUNCT
cana-6116	65	34	communications	communication	NOUN
cana-6116	65	35	on	on	ADP
cana-6116	65	36	applied	apply	VERB
cana-6116	65	37	nonlinear	nonlinear	ADJ
cana-6116	65	38	analysis	analysis	NOUN
cana-6116	65	39	issn	issn	NOUN
cana-6116	65	40	:	:	PUNCT
cana-6116	65	41	1074	1074	NUM
cana-6116	65	42	-	-	PUNCT
cana-6116	65	43	133x	133x	NUM
cana-6116	65	44	vol	vol	VERB
cana-6116	65	45	32	32	NUM
cana-6116	65	46	no	no	NOUN
cana-6116	65	47	.	.	PUNCT
cana-6116	66	1	10s	10	NOUN
cana-6116	66	2	(	(	PUNCT
cana-6116	66	3	2025	2025	NUM
cana-6116	66	4	)	)	PUNCT
cana-6116	66	5	3416	3416	NUM
cana-6116	66	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	66	7	where	where	SCONJ
cana-6116	66	8	1	1	NUM
cana-6116	66	9	2	2	NUM
cana-6116	66	10	11	11	NUM
cana-6116	66	11	11	11	NUM
cana-6116	66	12	12	12	NUM
cana-6116	66	13	12	12	NUM
cana-6116	66	14	2	2	NUM
cana-6116	66	15	1	1	NUM
cana-6116	66	16	3	3	NUM
cana-6116	66	17	221	221	NUM
cana-6116	66	18	2	2	NUM
cana-6116	66	19	21	21	NUM
cana-6116	66	20	23	23	NUM
cana-6116	66	21	23	23	NUM
cana-6116	66	22	3	3	NUM
cana-6116	66	23	3	3	NUM
cana-6116	66	24	131	131	NUM
cana-6116	66	25	3	3	NUM
cana-6116	66	26	33	33	NUM
cana-6116	66	27	31	31	NUM
cana-6116	66	28	2	2	NUM
cana-6116	66	29	0	0	NUM
cana-6116	66	30	0	0	NUM
cana-6116	66	31	2	2	NUM
cana-6116	66	32	a	a	DET
cana-6116	66	33	a	a	DET
cana-6116	66	34	n	n	NOUN
cana-6116	66	35	a	a	PRON
cana-6116	66	36	n	n	NOUN
cana-6116	66	37	a	a	PRON
cana-6116	66	38	n	n	NOUN
cana-6116	66	39	a	a	DET
cana-6116	66	40	a	a	NOUN
cana-6116	66	41	n	n	NOUN
cana-6116	66	42	a	a	DET
cana-6116	66	43	a	a	DET
cana-6116	66	44	n	n	NOUN
cana-6116	66	45	a	a	PRON
cana-6116	66	46	n	n	NOUN
cana-6116	66	47	a	a	PRON
cana-6116	66	48	n	n	NOUN
cana-6116	66	49	a	a	PRON
cana-6116	66	50	n	n	NOUN
cana-6116	66	51	a	a	DET
cana-6116	66	52	a	a	DET
cana-6116	66	53	n	n	NOUN
cana-6116	66	54	a	a	PRON
cana-6116	66	55	n	n	CCONJ
cana-6116	66	56			PROPN
cana-6116	66	57	−	−	NOUN
cana-6116	66	58	+	+	CCONJ
cana-6116	66	59			NOUN
cana-6116	66	60			NOUN
cana-6116	66	61	=	=	PUNCT
cana-6116	67	1	+	+	PUNCT
cana-6116	67	2	+	+	ADJ
cana-6116	67	3			NOUN
cana-6116	67	4			NOUN
cana-6116	67	5			NOUN
cana-6116	67	6			NOUN
cana-6116	67	7	−	−	NUM
cana-6116	68	1	+	+	NOUN
cana-6116	68	2			NOUN
cana-6116	68	3			PROPN
cana-6116	68	4			PROPN
cana-6116	68	5	the	the	DET
cana-6116	68	6	characteristic	characteristic	ADJ
cana-6116	68	7	equation	equation	NOUN
cana-6116	68	8	for	for	ADP
cana-6116	68	9	the	the	DET
cana-6116	68	10	system	system	NOUN
cana-6116	68	11	is	be	AUX
cana-6116	68	12	0a	0a	PROPN
cana-6116	68	13	i−	i−	ADJ
cana-6116	68	14	=	=	SYM
cana-6116	68	15	(	(	PUNCT
cana-6116	68	16	5	5	NUM
cana-6116	68	17	)	)	PUNCT
cana-6116	68	18	the	the	DET
cana-6116	68	19	equilibrium	equilibrium	NOUN
cana-6116	68	20	state	state	NOUN
cana-6116	68	21	is	be	AUX
cana-6116	68	22	stable	stable	ADJ
cana-6116	68	23	if	if	SCONJ
cana-6116	68	24	all	all	DET
cana-6116	68	25	the	the	DET
cana-6116	68	26	roots	root	NOUN
cana-6116	68	27	of	of	ADP
cana-6116	68	28	the	the	DET
cana-6116	68	29	equation	equation	NOUN
cana-6116	68	30	(	(	PUNCT
cana-6116	68	31	5	5	NUM
cana-6116	68	32	)	)	PUNCT
cana-6116	68	33	are	be	AUX
cana-6116	68	34	negative	negative	ADJ
cana-6116	68	35	in	in	ADP
cana-6116	68	36	case	case	NOUN
cana-6116	68	37	they	they	PRON
cana-6116	68	38	are	be	AUX
cana-6116	68	39	real	real	ADJ
cana-6116	68	40	or	or	CCONJ
cana-6116	68	41	have	have	VERB
cana-6116	68	42	negative	negative	ADJ
cana-6116	68	43	real	real	ADJ
cana-6116	68	44	parts	part	NOUN
cana-6116	68	45	in	in	ADP
cana-6116	68	46	case	case	NOUN
cana-6116	68	47	they	they	PRON
cana-6116	68	48	are	be	AUX
cana-6116	68	49	complex	complex	ADJ
cana-6116	68	50	.	.	PUNCT
cana-6116	69	1	4.1	4.1	NUM
cana-6116	69	2	fully	fully	ADV
cana-6116	69	3	washed	wash	VERB
cana-6116	69	4	out	out	ADP
cana-6116	69	5	state	state	NOUN
cana-6116	69	6	:	:	PUNCT
cana-6116	69	7	1	1	NUM
cana-6116	69	8	1	1	NUM
cana-6116	69	9	2	2	NUM
cana-6116	69	10	3	3	NUM
cana-6116	69	11	:	:	SYM
cana-6116	69	12	0	0	NUM
cana-6116	69	13	,	,	PUNCT
cana-6116	69	14	0	0	NUM
cana-6116	69	15	,	,	PUNCT
cana-6116	69	16	0.e	0.e	NUM
cana-6116	69	17	n	n	CCONJ
cana-6116	69	18	n	n	CCONJ
cana-6116	69	19	n=	n=	ADJ
cana-6116	69	20	=	=	PUNCT
cana-6116	70	1	=	=	PUNCT
cana-6116	70	2	in	in	ADP
cana-6116	70	3	this	this	DET
cana-6116	70	4	state	state	NOUN
cana-6116	70	5	,	,	PUNCT
cana-6116	70	6	we	we	PRON
cana-6116	70	7	have	have	VERB
cana-6116	70	8	1	1	NUM
cana-6116	70	9	2	2	NUM
cana-6116	70	10	3	3	NUM
cana-6116	70	11	0	0	NUM
cana-6116	70	12	0	0	NUM
cana-6116	70	13	0	0	NUM
cana-6116	70	14	0	0	NUM
cana-6116	70	15	0	0	NUM
cana-6116	70	16	0	0	NUM
cana-6116	70	17	a	a	DET
cana-6116	70	18	a	a	DET
cana-6116	70	19	a	a	DET
cana-6116	70	20	a	a	DET
cana-6116	70	21			PROPN
cana-6116	70	22			NOUN
cana-6116	70	23			NOUN
cana-6116	70	24			NOUN
cana-6116	70	25	=	=	SYM
cana-6116	70	26			NOUN
cana-6116	70	27			NOUN
cana-6116	70	28			NOUN
cana-6116	70	29			PROPN
cana-6116	70	30			PROPN
cana-6116	70	31	the	the	DET
cana-6116	70	32	characteristic	characteristic	ADJ
cana-6116	70	33	equation	equation	NOUN
cana-6116	70	34	is	be	AUX
cana-6116	70	35	0a	0a	PROPN
cana-6116	70	36	i−	i−	ADJ
cana-6116	70	37	=	=	SYM
cana-6116	70	38	(	(	PUNCT
cana-6116	70	39	6	6	NUM
cana-6116	70	40	)	)	PUNCT
cana-6116	70	41	the	the	DET
cana-6116	70	42	characteristic	characteristic	ADJ
cana-6116	70	43	roots	root	NOUN
cana-6116	70	44	of	of	ADP
cana-6116	70	45	(	(	PUNCT
cana-6116	70	46	6	6	NUM
cana-6116	70	47	)	)	PUNCT
cana-6116	70	48	are	be	AUX
cana-6116	70	49	1	1	NUM
cana-6116	70	50	2	2	NUM
cana-6116	70	51	3	3	NUM
cana-6116	70	52	,	,	PUNCT
cana-6116	70	53	,	,	PUNCT
cana-6116	70	54	.a	.a	VERB
cana-6116	71	1	a	a	DET
cana-6116	71	2	a	a	PRON
cana-6116	71	3	since	since	SCONJ
cana-6116	71	4	all	all	DET
cana-6116	71	5	the	the	DET
cana-6116	71	6	three	three	NUM
cana-6116	71	7	roots	root	NOUN
cana-6116	71	8	are	be	AUX
cana-6116	71	9	positive	positive	ADJ
cana-6116	71	10	.	.	PUNCT
cana-6116	72	1	hence	hence	ADV
cana-6116	72	2	the	the	DET
cana-6116	72	3	fully	fully	ADV
cana-6116	72	4	washed	wash	VERB
cana-6116	72	5	out	out	ADP
cana-6116	72	6	state	state	NOUN
cana-6116	72	7	is	be	AUX
cana-6116	72	8	unstable	unstable	ADJ
cana-6116	72	9	and	and	CCONJ
cana-6116	72	10	the	the	DET
cana-6116	72	11	solutions	solution	NOUN
cana-6116	72	12	of	of	ADP
cana-6116	72	13	the	the	DET
cana-6116	72	14	equations	equation	NOUN
cana-6116	72	15	(	(	PUNCT
cana-6116	72	16	4	4	X
cana-6116	72	17	)	)	PUNCT
cana-6116	72	18	are	be	AUX
cana-6116	72	19	31	31	NUM
cana-6116	72	20	2	2	NUM
cana-6116	72	21	1	1	NUM
cana-6116	72	22	10	10	NUM
cana-6116	72	23	2	2	NUM
cana-6116	72	24	20	20	NUM
cana-6116	72	25	3	3	NUM
cana-6116	72	26	30	30	NUM
cana-6116	72	27	,	,	PUNCT
cana-6116	72	28	,	,	PUNCT
cana-6116	72	29	a	a	DET
cana-6116	72	30	ta	ta	X
cana-6116	72	31	t	t	PROPN
cana-6116	72	32	a	a	DET
cana-6116	72	33	t	t	X
cana-6116	72	34	u	u	X
cana-6116	72	35	u	u	X
cana-6116	72	36	e	e	X
cana-6116	72	37	u	u	NOUN
cana-6116	72	38	u	u	X
cana-6116	72	39	e	e	X
cana-6116	72	40	u	u	NOUN
cana-6116	72	41	u	u	NOUN
cana-6116	72	42	e=	e=	NOUN
cana-6116	72	43	=	=	PUNCT
cana-6116	72	44	=	=	SYM
cana-6116	72	45	(	(	PUNCT
cana-6116	72	46	7	7	X
cana-6116	72	47	)	)	PUNCT
cana-6116	72	48	trajectories	trajectory	NOUN
cana-6116	72	49	of	of	ADP
cana-6116	72	50	perturbations	perturbation	NOUN
cana-6116	72	51	:	:	PUNCT
cana-6116	72	52	the	the	DET
cana-6116	72	53	trajectories	trajectory	NOUN
cana-6116	72	54	in	in	ADP
cana-6116	72	55	the	the	DET
cana-6116	72	56	1	1	NUM
cana-6116	72	57	2u	2u	PROPN
cana-6116	72	58	u−	u−	PROPN
cana-6116	72	59	,	,	PUNCT
cana-6116	72	60	2	2	NUM
cana-6116	72	61	3u	3u	NUM
cana-6116	72	62	u−	u−	PROPN
cana-6116	72	63	and	and	CCONJ
cana-6116	72	64	3	3	NUM
cana-6116	72	65	1u	1u	NUM
cana-6116	72	66	u−	u−	PROPN
cana-6116	72	67	planes	plane	NOUN
cana-6116	72	68	are	be	AUX
cana-6116	72	69	given	give	VERB
cana-6116	72	70	by	by	ADP
cana-6116	72	71	(	(	PUNCT
cana-6116	72	72	)	)	PUNCT
cana-6116	72	73	(	(	PUNCT
cana-6116	72	74	)	)	PUNCT
cana-6116	72	75	(	(	PUNCT
cana-6116	72	76	)	)	SYM
cana-6116	72	77	1	1	NUM
cana-6116	72	78	2	2	NUM
cana-6116	72	79	3	3	NUM
cana-6116	72	80	1	1	NUM
cana-6116	72	81	1	1	NUM
cana-6116	72	82	1	1	NUM
cana-6116	72	83	1	1	NUM
cana-6116	72	84	2	2	NUM
cana-6116	72	85	3	3	NUM
cana-6116	72	86	a	a	DET
cana-6116	72	87	a	a	DET
cana-6116	72	88	ax	ax	NOUN
cana-6116	72	89	x	x	X
cana-6116	72	90	x=	x=	PUNCT
cana-6116	73	1	=	=	SYM
cana-6116	73	2	where	where	SCONJ
cana-6116	73	3	31	31	NUM
cana-6116	73	4	2	2	NUM
cana-6116	73	5	1	1	NUM
cana-6116	73	6	2	2	NUM
cana-6116	73	7	3	3	NUM
cana-6116	73	8	10	10	NUM
cana-6116	73	9	20	20	NUM
cana-6116	73	10	30	30	NUM
cana-6116	73	11	;	;	PUNCT
cana-6116	73	12	;	;	PUNCT
cana-6116	73	13	uu	uu	PART
cana-6116	73	14	u	u	NOUN
cana-6116	73	15	x	x	X
cana-6116	73	16	x	x	PUNCT
cana-6116	73	17	x	x	PUNCT
cana-6116	73	18	u	u	VERB
cana-6116	73	19	u	u	X
cana-6116	73	20	u	u	NOUN
cana-6116	73	21			NOUN
cana-6116	73	22			PROPN
cana-6116	74	1			NOUN
cana-6116	74	2			PROPN
cana-6116	74	3			NOUN
cana-6116	74	4			NOUN
cana-6116	74	5	=	=	PUNCT
cana-6116	75	1	=	=	PUNCT
cana-6116	76	1	=	=	X
cana-6116	76	2			PROPN
cana-6116	77	1			PROPN
cana-6116	77	2			PROPN
cana-6116	78	1			INTJ
cana-6116	79	1			PROPN
cana-6116	79	2			PROPN
cana-6116	80	1			ADJ
cana-6116	80	2			PROPN
cana-6116	80	3			PROPN
cana-6116	80	4			NOUN
cana-6116	80	5			PROPN
cana-6116	80	6			NOUN
cana-6116	80	7	4.2	4.2	NUM
cana-6116	80	8	equilibrium	equilibrium	NOUN
cana-6116	80	9	state	state	NOUN
cana-6116	80	10	:	:	PUNCT
cana-6116	80	11	2	2	NUM
cana-6116	80	12	1	1	NUM
cana-6116	80	13	2	2	NUM
cana-6116	80	14	3	3	NUM
cana-6116	80	15	3	3	NUM
cana-6116	80	16	:	:	SYM
cana-6116	80	17	0	0	NUM
cana-6116	80	18	,	,	PUNCT
cana-6116	80	19	0,e	0,e	NOUN
cana-6116	80	20	n	n	CCONJ
cana-6116	80	21	n	n	CCONJ
cana-6116	80	22	n	n	NOUN
cana-6116	80	23	k=	k=	NOUN
cana-6116	80	24	=	=	PUNCT
cana-6116	81	1	=	=	PUNCT
cana-6116	81	2	at	at	ADP
cana-6116	81	3	this	this	DET
cana-6116	81	4	state	state	NOUN
cana-6116	81	5	,	,	PUNCT
cana-6116	81	6	we	we	PRON
cana-6116	81	7	get	get	VERB
cana-6116	81	8	1	1	NUM
cana-6116	81	9	2	2	NUM
cana-6116	81	10	23	23	NUM
cana-6116	81	11	3	3	NUM
cana-6116	81	12	31	31	NUM
cana-6116	81	13	3	3	NUM
cana-6116	81	14	3	3	NUM
cana-6116	81	15	0	0	NUM
cana-6116	81	16	0	0	NUM
cana-6116	81	17	0	0	NUM
cana-6116	81	18	0	0	NUM
cana-6116	81	19	0	0	NUM
cana-6116	82	1	a	a	DET
cana-6116	82	2	a	a	DET
cana-6116	82	3	a	a	DET
cana-6116	82	4	a	a	DET
cana-6116	82	5	k	k	NOUN
cana-6116	82	6	a	a	X
cana-6116	82	7	k	k	PROPN
cana-6116	82	8	a	a	DET
cana-6116	82	9			PROPN
cana-6116	82	10			NOUN
cana-6116	82	11			NOUN
cana-6116	82	12			NOUN
cana-6116	82	13	=	=	PUNCT
cana-6116	83	1	+	+	NUM
cana-6116	83	2			NOUN
cana-6116	83	3			NOUN
cana-6116	83	4			NOUN
cana-6116	83	5	−	−	ADV
cana-6116	83	6			PROPN
cana-6116	83	7	in	in	ADP
cana-6116	83	8	this	this	DET
cana-6116	83	9	state	state	NOUN
cana-6116	83	10	the	the	DET
cana-6116	83	11	characteristic	characteristic	ADJ
cana-6116	83	12	equation	equation	NOUN
cana-6116	83	13	is	be	AUX
cana-6116	83	14	(	(	PUNCT
cana-6116	83	15	)	)	PUNCT
cana-6116	83	16	(	(	PUNCT
cana-6116	83	17	)	)	PUNCT
cana-6116	83	18	(	(	PUNCT
cana-6116	83	19	)	)	SYM
cana-6116	83	20	1	1	NUM
cana-6116	83	21	2	2	NUM
cana-6116	83	22	23	23	NUM
cana-6116	83	23	3	3	NUM
cana-6116	83	24	3	3	NUM
cana-6116	83	25	0a	0a	PROPN
cana-6116	83	26	a	a	DET
cana-6116	83	27	a	a	DET
cana-6116	83	28	k	k	X
cana-6116	83	29	a	a	PROPN
cana-6116	83	30			ADJ
cana-6116	83	31	−	−	ADJ
cana-6116	83	32	−	−	NOUN
cana-6116	84	1	+	+	CCONJ
cana-6116	85	1	+	+	CCONJ
cana-6116	85	2	=	=	SYM
cana-6116	85	3			PROPN
cana-6116	85	4			PROPN
cana-6116	85	5			PROPN
cana-6116	85	6	(	(	PUNCT
cana-6116	85	7	8)	8)	NUM
cana-6116	85	8	the	the	DET
cana-6116	85	9	characteristic	characteristic	ADJ
cana-6116	85	10	roots	root	NOUN
cana-6116	85	11	of	of	ADP
cana-6116	85	12	(	(	PUNCT
cana-6116	85	13	8)	8)	NUM
cana-6116	85	14	are	be	AUX
cana-6116	85	15	1	1	NUM
cana-6116	85	16	2	2	NUM
cana-6116	85	17	23	23	NUM
cana-6116	85	18	3	3	NUM
cana-6116	85	19	3	3	NUM
cana-6116	85	20	,	,	PUNCT
cana-6116	85	21	,	,	PUNCT
cana-6116	85	22	a	a	DET
cana-6116	85	23	a	a	PRON
cana-6116	85	24	a	a	DET
cana-6116	85	25	k	k	NOUN
cana-6116	85	26	a+	a+	PUNCT
cana-6116	85	27	−	−	PROPN
cana-6116	85	28	.	.	PUNCT
cana-6116	86	1	since	since	SCONJ
cana-6116	86	2	two	two	NUM
cana-6116	86	3	of	of	ADP
cana-6116	86	4	the	the	DET
cana-6116	86	5	three	three	NUM
cana-6116	86	6	roots	root	NOUN
cana-6116	86	7	are	be	AUX
cana-6116	86	8	positive	positive	ADJ
cana-6116	86	9	.	.	PUNCT
cana-6116	87	1	hence	hence	ADV
cana-6116	87	2	the	the	DET
cana-6116	87	3	state	state	NOUN
cana-6116	87	4	is	be	AUX
cana-6116	87	5	unstable	unstable	ADJ
cana-6116	87	6	and	and	CCONJ
cana-6116	87	7	the	the	DET
cana-6116	87	8	solutions	solution	NOUN
cana-6116	87	9	are	be	AUX
cana-6116	87	10	communications	communication	NOUN
cana-6116	87	11	on	on	ADP
cana-6116	87	12	applied	apply	VERB
cana-6116	87	13	nonlinear	nonlinear	ADJ
cana-6116	87	14	analysis	analysis	NOUN
cana-6116	87	15	issn	issn	NOUN
cana-6116	87	16	:	:	PUNCT
cana-6116	87	17	1074	1074	NUM
cana-6116	87	18	-	-	PUNCT
cana-6116	87	19	133x	133x	NUM
cana-6116	87	20	vol	vol	VERB
cana-6116	87	21	32	32	NUM
cana-6116	87	22	no	no	NOUN
cana-6116	87	23	.	.	PUNCT
cana-6116	88	1	10s	10	NOUN
cana-6116	88	2	(	(	PUNCT
cana-6116	88	3	2025	2025	NUM
cana-6116	88	4	)	)	PUNCT
cana-6116	88	5	3417	3417	NUM
cana-6116	88	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	88	7	(	(	PUNCT
cana-6116	88	8	)	)	PUNCT
cana-6116	88	9	2	2	NUM
cana-6116	88	10	23	23	NUM
cana-6116	88	11	3	3	NUM
cana-6116	88	12	31	31	NUM
cana-6116	88	13	131	131	NUM
cana-6116	88	14	3	3	NUM
cana-6116	88	15	10	10	NUM
cana-6116	88	16	31	31	NUM
cana-6116	88	17	3	3	NUM
cana-6116	88	18	10	10	NUM
cana-6116	88	19	1	1	NUM
cana-6116	88	20	10	10	NUM
cana-6116	88	21	2	2	NUM
cana-6116	88	22	20	20	NUM
cana-6116	88	23	3	3	NUM
cana-6116	88	24	30	30	NUM
cana-6116	88	25	1	1	NUM
cana-6116	88	26	3	3	NUM
cana-6116	88	27	1	1	NUM
cana-6116	88	28	3	3	NUM
cana-6116	88	29	,	,	PUNCT
cana-6116	88	30	,	,	PUNCT
cana-6116	88	31	a	a	DET
cana-6116	88	32	a	a	DET
cana-6116	88	33	k	k	PROPN
cana-6116	88	34	t	t	PROPN
cana-6116	88	35	a	a	PRON
cana-6116	88	36	ta	ta	X
cana-6116	88	37	t	t	PROPN
cana-6116	88	38	a	a	PRON
cana-6116	88	39	ta	ta	X
cana-6116	88	40	k	k	PROPN
cana-6116	88	41	u	u	PROPN
cana-6116	88	42	a	a	DET
cana-6116	88	43	k	k	X
cana-6116	88	44	u	u	X
cana-6116	88	45	u	u	X
cana-6116	88	46	u	u	X
cana-6116	88	47	e	e	X
cana-6116	88	48	u	u	NOUN
cana-6116	88	49	u	u	X
cana-6116	88	50	e	e	X
cana-6116	88	51	u	u	X
cana-6116	88	52	u	u	X
cana-6116	88	53	e	e	X
cana-6116	88	54	e	e	X
cana-6116	88	55	a	a	PRON
cana-6116	88	56	a	a	DET
cana-6116	88	57	a	a	DET
cana-6116	88	58	a	a	DET
cana-6116	88	59	+	+	NOUN
cana-6116	88	60	−	−	NOUN
cana-6116	88	61			NOUN
cana-6116	88	62	=	=	PUNCT
cana-6116	88	63	=	=	PUNCT
cana-6116	88	64	=	=	PUNCT
cana-6116	89	1	−	−	PROPN
cana-6116	90	1	+	+	NOUN
cana-6116	90	2			PROPN
cana-6116	90	3			PROPN
cana-6116	91	1	+	+	CCONJ
cana-6116	91	2	+	+	ADJ
cana-6116	91	3			ADJ
cana-6116	91	4			NOUN
cana-6116	91	5	(	(	PUNCT
cana-6116	91	6	9	9	NUM
cana-6116	91	7	)	)	PUNCT
cana-6116	91	8	trajectories	trajectory	NOUN
cana-6116	91	9	of	of	ADP
cana-6116	91	10	perturbations	perturbation	NOUN
cana-6116	91	11	:	:	PUNCT
cana-6116	91	12	the	the	DET
cana-6116	91	13	trajectories	trajectory	NOUN
cana-6116	91	14	are	be	AUX
cana-6116	91	15	(	(	PUNCT
cana-6116	91	16	)	)	PUNCT
cana-6116	91	17	2	2	NUM
cana-6116	91	18	23	23	NUM
cana-6116	91	19	3	3	NUM
cana-6116	91	20	1	1	NUM
cana-6116	91	21	1	1	NUM
cana-6116	91	22	2	2	NUM
cana-6116	91	23	10	10	NUM
cana-6116	91	24	20	20	NUM
cana-6116	91	25	,	,	PUNCT
cana-6116	91	26	a	a	DET
cana-6116	91	27	a	a	PRON
cana-6116	91	28	k	k	X
cana-6116	91	29	a	a	DET
cana-6116	91	30	u	u	X
cana-6116	91	31	u	u	X
cana-6116	91	32	u	u	NOUN
cana-6116	91	33	u	u	NOUN
cana-6116	91	34	+	+	NOUN
cana-6116	91	35			NOUN
cana-6116	91	36			NOUN
cana-6116	91	37			NOUN
cana-6116	91	38			PROPN
cana-6116	92	1	=	=	SYM
cana-6116	92	2			PROPN
cana-6116	93	1			PROPN
cana-6116	94	1			PROPN
cana-6116	94	2			PROPN
cana-6116	95	1			ADJ
cana-6116	95	2			PROPN
cana-6116	95	3			PROPN
cana-6116	95	4			NOUN
cana-6116	95	5	(	(	PUNCT
cana-6116	95	6	)	)	PUNCT
cana-6116	95	7	(	(	PUNCT
cana-6116	95	8	)	)	PUNCT
cana-6116	95	9	3	3	NUM
cana-6116	95	10	1	1	NUM
cana-6116	95	11	2	2	NUM
cana-6116	95	12	23	23	NUM
cana-6116	95	13	3	3	NUM
cana-6116	95	14	2	2	NUM
cana-6116	95	15	23	23	NUM
cana-6116	95	16	331	331	NUM
cana-6116	95	17	3	3	NUM
cana-6116	95	18	10	10	NUM
cana-6116	95	19	31	31	NUM
cana-6116	95	20	3	3	NUM
cana-6116	95	21	10	10	NUM
cana-6116	95	22	3	3	NUM
cana-6116	95	23	2	2	NUM
cana-6116	95	24	2	2	NUM
cana-6116	95	25	30	30	NUM
cana-6116	95	26	1	1	NUM
cana-6116	95	27	3	3	NUM
cana-6116	95	28	30	30	NUM
cana-6116	95	29	1	1	NUM
cana-6116	95	30	3	3	NUM
cana-6116	95	31	1	1	NUM
cana-6116	95	32	a	a	DET
cana-6116	95	33	a	a	DET
cana-6116	95	34	a	a	DET
cana-6116	95	35	a	a	DET
cana-6116	95	36	k	k	NOUN
cana-6116	95	37	a	a	DET
cana-6116	95	38	a	a	DET
cana-6116	95	39	ka	ka	PROPN
cana-6116	95	40	k	k	PROPN
cana-6116	95	41	u	u	PROPN
cana-6116	95	42	a	a	DET
cana-6116	95	43	k	k	X
cana-6116	95	44	u	u	NOUN
cana-6116	95	45	x	x	NOUN
cana-6116	95	46	x	x	PUNCT
cana-6116	95	47	x	x	PUNCT
cana-6116	95	48	u	u	NOUN
cana-6116	95	49	a	a	DET
cana-6116	95	50	a	a	DET
cana-6116	95	51	u	u	NOUN
cana-6116	95	52	a	a	PRON
cana-6116	95	53	a	a	DET
cana-6116	95	54	−	−	NOUN
cana-6116	96	1	+	+	CCONJ
cana-6116	96	2	+	+	CCONJ
cana-6116	96	3			NUM
cana-6116	96	4			NOUN
cana-6116	96	5	=	=	PUNCT
cana-6116	96	6	−	−	PUNCT
cana-6116	96	7	+	+	NOUN
cana-6116	96	8			NOUN
cana-6116	96	9			NOUN
cana-6116	96	10	+	+	CCONJ
cana-6116	96	11	+	+	ADJ
cana-6116	96	12			NOUN
cana-6116	96	13			PROPN
cana-6116	96	14	and	and	CCONJ
cana-6116	96	15	(	(	PUNCT
cana-6116	96	16	)	)	PUNCT
cana-6116	96	17	(	(	PUNCT
cana-6116	96	18	)	)	PUNCT
cana-6116	96	19	3	3	NUM
cana-6116	96	20	131	131	NUM
cana-6116	96	21	3	3	NUM
cana-6116	96	22	10	10	NUM
cana-6116	96	23	31	31	NUM
cana-6116	96	24	3	3	NUM
cana-6116	96	25	10	10	NUM
cana-6116	96	26	3	3	NUM
cana-6116	96	27	1	1	NUM
cana-6116	96	28	1	1	NUM
cana-6116	96	29	30	30	NUM
cana-6116	96	30	1	1	NUM
cana-6116	96	31	3	3	NUM
cana-6116	96	32	30	30	NUM
cana-6116	96	33	1	1	NUM
cana-6116	96	34	3	3	NUM
cana-6116	96	35	1	1	NUM
cana-6116	96	36	a	a	DET
cana-6116	96	37	aa	aa	NOUN
cana-6116	96	38	k	k	PROPN
cana-6116	96	39	u	u	PROPN
cana-6116	96	40	a	a	DET
cana-6116	96	41	k	k	X
cana-6116	96	42	u	u	NOUN
cana-6116	96	43	x	x	NOUN
cana-6116	96	44	x	x	PUNCT
cana-6116	96	45	x	x	PUNCT
cana-6116	96	46	u	u	NOUN
cana-6116	96	47	a	a	DET
cana-6116	96	48	a	a	DET
cana-6116	96	49	u	u	NOUN
cana-6116	96	50	a	a	DET
cana-6116	96	51	a	a	DET
cana-6116	96	52	−	−	NOUN
cana-6116	96	53			NOUN
cana-6116	96	54	=	=	PUNCT
cana-6116	96	55	−	−	PUNCT
cana-6116	96	56	+	+	NOUN
cana-6116	96	57			NOUN
cana-6116	96	58			NOUN
cana-6116	96	59	+	+	CCONJ
cana-6116	96	60	+	+	ADJ
cana-6116	96	61			NOUN
cana-6116	96	62			PROPN
cana-6116	96	63	4.3	4.3	NUM
cana-6116	96	64	equilibrium	equilibrium	NOUN
cana-6116	96	65	state	state	NOUN
cana-6116	96	66	3	3	NUM
cana-6116	96	67	1	1	NUM
cana-6116	96	68	1	1	NUM
cana-6116	96	69	2	2	NUM
cana-6116	96	70	3	3	NUM
cana-6116	96	71	:	:	PUNCT
cana-6116	96	72	,	,	PUNCT
cana-6116	96	73	0	0	NUM
cana-6116	96	74	,	,	PUNCT
cana-6116	96	75	0.e	0.e	NUM
cana-6116	96	76	n	n	CCONJ
cana-6116	96	77	k	k	PROPN
cana-6116	96	78	n	n	CCONJ
cana-6116	96	79	n=	n=	ADJ
cana-6116	96	80	=	=	SYM
cana-6116	96	81	=	=	SYM
cana-6116	96	82	1	1	NUM
cana-6116	96	83	12	12	NUM
cana-6116	96	84	1	1	NUM
cana-6116	96	85	2	2	NUM
cana-6116	96	86	21	21	NUM
cana-6116	96	87	1	1	NUM
cana-6116	96	88	3	3	NUM
cana-6116	96	89	31	31	NUM
cana-6116	96	90	1	1	NUM
cana-6116	96	91	0	0	NUM
cana-6116	96	92	here	here	ADV
cana-6116	96	93	,	,	PUNCT
cana-6116	96	94	0	0	NUM
cana-6116	96	95	0	0	NUM
cana-6116	96	96	0	0	NUM
cana-6116	96	97	0	0	NUM
cana-6116	97	1	a	a	DET
cana-6116	97	2	a	a	DET
cana-6116	97	3	k	k	NOUN
cana-6116	97	4	a	a	DET
cana-6116	97	5	a	a	DET
cana-6116	97	6	a	a	DET
cana-6116	97	7	k	k	NOUN
cana-6116	97	8	a	a	DET
cana-6116	97	9	a	a	DET
cana-6116	97	10	k	k	NOUN
cana-6116	97	11	−	−	NOUN
cana-6116	97	12			X
cana-6116	97	13			NOUN
cana-6116	97	14			NOUN
cana-6116	97	15	=	=	PUNCT
cana-6116	98	1	+	+	NUM
cana-6116	98	2			NOUN
cana-6116	98	3			NOUN
cana-6116	98	4			NOUN
cana-6116	98	5	+	+	NOUN
cana-6116	98	6			PROPN
cana-6116	98	7	the	the	DET
cana-6116	98	8	characteristic	characteristic	ADJ
cana-6116	98	9	equation	equation	NOUN
cana-6116	98	10	is	be	AUX
cana-6116	98	11	(	(	PUNCT
cana-6116	98	12	)	)	PUNCT
cana-6116	98	13	(	(	PUNCT
cana-6116	98	14	)	)	PUNCT
cana-6116	98	15	(	(	PUNCT
cana-6116	98	16	)	)	SYM
cana-6116	98	17	1	1	NUM
cana-6116	98	18	2	2	NUM
cana-6116	98	19	21	21	NUM
cana-6116	98	20	1	1	NUM
cana-6116	98	21	`	`	SYM
cana-6116	98	22	3	3	NUM
cana-6116	98	23	31	31	NUM
cana-6116	98	24	1	1	NUM
cana-6116	98	25	0a	0a	PROPN
cana-6116	98	26	a	a	DET
cana-6116	98	27	a	a	DET
cana-6116	98	28	k	k	NOUN
cana-6116	98	29	a	a	DET
cana-6116	98	30	a	a	DET
cana-6116	98	31	k	k	PROPN
cana-6116	98	32			X
cana-6116	98	33	+	+	PROPN
cana-6116	98	34	−	−	PROPN
cana-6116	98	35	+	+	CCONJ
cana-6116	98	36	−	−	PROPN
cana-6116	99	1	+	+	CCONJ
cana-6116	99	2	=	=	NOUN
cana-6116	99	3			ADJ
cana-6116	99	4			ADJ
cana-6116	99	5			PROPN
cana-6116	99	6			PROPN
cana-6116	99	7			PROPN
cana-6116	99	8			VERB
cana-6116	99	9			PROPN
cana-6116	99	10	(	(	PUNCT
cana-6116	99	11	9	9	NUM
cana-6116	99	12	)	)	PUNCT
cana-6116	99	13	the	the	DET
cana-6116	99	14	characteristic	characteristic	ADJ
cana-6116	99	15	roots	root	NOUN
cana-6116	99	16	are	be	AUX
cana-6116	99	17	1	1	NUM
cana-6116	99	18	2	2	NUM
cana-6116	99	19	21	21	NUM
cana-6116	99	20	1	1	NUM
cana-6116	99	21	`	`	SYM
cana-6116	99	22	3	3	NUM
cana-6116	99	23	31	31	NUM
cana-6116	99	24	1	1	NUM
cana-6116	99	25	,	,	PUNCT
cana-6116	99	26	,	,	PUNCT
cana-6116	99	27	a	a	DET
cana-6116	99	28	a	a	DET
cana-6116	99	29	a	a	DET
cana-6116	99	30	k	k	NOUN
cana-6116	99	31	a	a	DET
cana-6116	99	32	a	a	DET
cana-6116	99	33	k−	k−	NOUN
cana-6116	99	34	+	+	CCONJ
cana-6116	100	1	+	+	CCONJ
cana-6116	100	2	.	.	PUNCT
cana-6116	101	1	since	since	SCONJ
cana-6116	101	2	two	two	NUM
cana-6116	101	3	of	of	ADP
cana-6116	101	4	the	the	DET
cana-6116	101	5	three	three	NUM
cana-6116	101	6	roots	root	NOUN
cana-6116	101	7	are	be	AUX
cana-6116	101	8	positive	positive	ADJ
cana-6116	101	9	.	.	PUNCT
cana-6116	102	1	hence	hence	ADV
cana-6116	102	2	the	the	DET
cana-6116	102	3	state	state	NOUN
cana-6116	102	4	is	be	AUX
cana-6116	102	5	unstable	unstable	ADJ
cana-6116	102	6	and	and	CCONJ
cana-6116	102	7	the	the	DET
cana-6116	102	8	solutions	solution	NOUN
cana-6116	102	9	of	of	ADP
cana-6116	102	10	the	the	DET
cana-6116	102	11	equations	equation	NOUN
cana-6116	102	12	are	be	AUX
cana-6116	102	13	given	give	VERB
cana-6116	102	14	by	by	ADP
cana-6116	102	15	(	(	PUNCT
cana-6116	102	16	)	)	SYM
cana-6116	102	17	2	2	NUM
cana-6116	102	18	21	21	NUM
cana-6116	102	19	1`112	1`112	NUM
cana-6116	102	20	1	1	NUM
cana-6116	102	21	20	20	NUM
cana-6116	102	22	12	12	NUM
cana-6116	102	23	1	1	NUM
cana-6116	102	24	20	20	NUM
cana-6116	102	25	1	1	NUM
cana-6116	102	26	10	10	NUM
cana-6116	102	27	1	1	NUM
cana-6116	102	28	2	2	NUM
cana-6116	102	29	21	21	NUM
cana-6116	102	30	1	1	NUM
cana-6116	102	31	`	`	SYM
cana-6116	102	32	1	1	NUM
cana-6116	102	33	2	2	NUM
cana-6116	102	34	21	21	NUM
cana-6116	102	35	1	1	NUM
cana-6116	102	36	`	`	PUNCT
cana-6116	102	37	a	a	DET
cana-6116	102	38	a	a	X
cana-6116	102	39	k	k	X
cana-6116	102	40	ta	ta	X
cana-6116	102	41	ta	ta	PROPN
cana-6116	102	42	k	k	PROPN
cana-6116	102	43	u	u	PROPN
cana-6116	102	44	a	a	DET
cana-6116	102	45	k	k	X
cana-6116	102	46	u	u	X
cana-6116	102	47	u	u	X
cana-6116	102	48	u	u	X
cana-6116	102	49	e	e	X
cana-6116	102	50	e	e	X
cana-6116	102	51	a	a	PRON
cana-6116	102	52	a	a	DET
cana-6116	102	53	a	a	DET
cana-6116	102	54	k	k	NOUN
cana-6116	102	55	a	a	DET
cana-6116	102	56	a	a	PRON
cana-6116	102	57	a	a	X
cana-6116	102	58	k	k	NOUN
cana-6116	103	1	+	+	NOUN
cana-6116	103	2	−	−	NOUN
cana-6116	103	3			X
cana-6116	103	4	=	=	PUNCT
cana-6116	104	1	−	−	PUNCT
cana-6116	104	2	+	+	NOUN
cana-6116	104	3			NOUN
cana-6116	104	4			NOUN
cana-6116	104	5	+	+	CCONJ
cana-6116	104	6	+	+	PUNCT
cana-6116	104	7	+	+	CCONJ
cana-6116	104	8	+	+	ADJ
cana-6116	104	9			NOUN
cana-6116	104	10			PROPN
cana-6116	104	11	(	(	PUNCT
cana-6116	104	12	)	)	PUNCT
cana-6116	104	13	(	(	PUNCT
cana-6116	104	14	)	)	PUNCT
cana-6116	104	15	3	3	NUM
cana-6116	104	16	31	31	NUM
cana-6116	104	17	12	12	NUM
cana-6116	104	18	21	21	NUM
cana-6116	104	19	1	1	NUM
cana-6116	104	20	`	`	NUM
cana-6116	104	21	2	2	NUM
cana-6116	104	22	20	20	NUM
cana-6116	104	23	3	3	NUM
cana-6116	104	24	30	30	NUM
cana-6116	104	25	,	,	PUNCT
cana-6116	104	26	a	a	DET
cana-6116	104	27	a	a	DET
cana-6116	104	28	k	k	X
cana-6116	104	29	ta	ta	ADP
cana-6116	104	30	a	a	DET
cana-6116	104	31	k	k	PROPN
cana-6116	104	32	t	t	X
cana-6116	104	33	u	u	X
cana-6116	104	34	u	u	X
cana-6116	104	35	e	e	X
cana-6116	104	36	u	u	NOUN
cana-6116	104	37	u	u	X
cana-6116	104	38	e	e	PROPN
cana-6116	104	39	+	+	PROPN
cana-6116	104	40	+	+	NOUN
cana-6116	104	41	=	=	SYM
cana-6116	104	42	=	=	SYM
cana-6116	104	43	(	(	PUNCT
cana-6116	104	44	10	10	NUM
cana-6116	104	45	)	)	PUNCT
cana-6116	104	46	trajectories	trajectory	NOUN
cana-6116	104	47	of	of	ADP
cana-6116	104	48	perturbations	perturbation	NOUN
cana-6116	104	49	:	:	PUNCT
cana-6116	104	50	the	the	DET
cana-6116	104	51	trajectories	trajectory	NOUN
cana-6116	104	52	in	in	ADP
cana-6116	104	53	1	1	NUM
cana-6116	104	54	2	2	NUM
cana-6116	104	55	2	2	NUM
cana-6116	104	56	3	3	NUM
cana-6116	104	57	3	3	NUM
cana-6116	104	58	1	1	NUM
cana-6116	104	59	,	,	PUNCT
cana-6116	104	60	,	,	PUNCT
cana-6116	104	61	u	u	NOUN
cana-6116	104	62	u	u	NOUN
cana-6116	104	63	u	u	VERB
cana-6116	104	64	u	u	NOUN
cana-6116	104	65	u	u	NOUN
cana-6116	104	66	u−	u−	PROPN
cana-6116	104	67	−	−	PROPN
cana-6116	104	68	−	−	PROPN
cana-6116	104	69	planes	plane	NOUN
cana-6116	104	70	are	be	AUX
cana-6116	104	71	(	(	PUNCT
cana-6116	104	72	)	)	PUNCT
cana-6116	104	73	(	(	PUNCT
cana-6116	104	74	)	)	PUNCT
cana-6116	104	75	1	1	NUM
cana-6116	104	76	2	2	NUM
cana-6116	104	77	21	21	NUM
cana-6116	104	78	1`12	1`12	NUM
cana-6116	104	79	1	1	NUM
cana-6116	104	80	20	20	NUM
cana-6116	104	81	12	12	NUM
cana-6116	104	82	1	1	NUM
cana-6116	104	83	20	20	NUM
cana-6116	104	84	1	1	NUM
cana-6116	104	85	2	2	NUM
cana-6116	104	86	2	2	NUM
cana-6116	104	87	10	10	NUM
cana-6116	104	88	1	1	NUM
cana-6116	104	89	2	2	NUM
cana-6116	104	90	21	21	NUM
cana-6116	104	91	1	1	NUM
cana-6116	104	92	`	`	NUM
cana-6116	104	93	10	10	NUM
cana-6116	104	94	1	1	NUM
cana-6116	104	95	2	2	NUM
cana-6116	104	96	21	21	NUM
cana-6116	104	97	1	1	NUM
cana-6116	104	98	`	`	NUM
cana-6116	104	99	1	1	NUM
cana-6116	104	100	,	,	PUNCT
cana-6116	104	101	a	a	DET
cana-6116	104	102	a	a	DET
cana-6116	104	103	a	a	PRON
cana-6116	104	104	ka	ka	NOUN
cana-6116	104	105	k	k	PROPN
cana-6116	104	106	u	u	PROPN
cana-6116	104	107	a	a	DET
cana-6116	104	108	k	k	X
cana-6116	104	109	u	u	NOUN
cana-6116	104	110	x	x	NOUN
cana-6116	104	111	x	x	PUNCT
cana-6116	104	112	x	x	PUNCT
cana-6116	104	113	u	u	NOUN
cana-6116	104	114	a	a	DET
cana-6116	104	115	a	a	DET
cana-6116	104	116	a	a	DET
cana-6116	104	117	k	k	X
cana-6116	104	118	u	u	NOUN
cana-6116	104	119	a	a	PRON
cana-6116	104	120	a	a	DET
cana-6116	104	121	a	a	PRON
cana-6116	104	122	k	k	NOUN
cana-6116	104	123	−	−	PROPN
cana-6116	105	1	+	+	CCONJ
cana-6116	105	2			PROPN
cana-6116	105	3			NOUN
cana-6116	105	4	=	=	PUNCT
cana-6116	105	5	−	−	PUNCT
cana-6116	105	6	+	+	NOUN
cana-6116	105	7			NOUN
cana-6116	105	8			NOUN
cana-6116	105	9	+	+	CCONJ
cana-6116	106	1	+	+	PUNCT
cana-6116	106	2	+	+	CCONJ
cana-6116	106	3	+	+	ADJ
cana-6116	106	4			NOUN
cana-6116	106	5			PROPN
cana-6116	106	6	(	(	PUNCT
cana-6116	106	7	)	)	PUNCT
cana-6116	106	8	(	(	PUNCT
cana-6116	106	9	)	)	PUNCT
cana-6116	106	10	3	3	NUM
cana-6116	106	11	31	31	NUM
cana-6116	106	12	1	1	NUM
cana-6116	106	13	2	2	NUM
cana-6116	106	14	21	21	NUM
cana-6116	106	15	1	1	NUM
cana-6116	106	16	`	`	NUM
cana-6116	106	17	2	2	NUM
cana-6116	106	18	3	3	NUM
cana-6116	106	19	a	a	DET
cana-6116	106	20	a	a	DET
cana-6116	106	21	k	k	NOUN
cana-6116	106	22	a	a	DET
cana-6116	106	23	a	a	DET
cana-6116	106	24	k	k	NOUN
cana-6116	106	25	x	x	PUNCT
cana-6116	106	26	x	x	X
cana-6116	106	27	+	+	PUNCT
cana-6116	106	28	+	+	CCONJ
cana-6116	106	29	=	=	SYM
cana-6116	106	30	(	(	PUNCT
cana-6116	106	31	)	)	PUNCT
cana-6116	106	32	(	(	PUNCT
cana-6116	106	33	)	)	PUNCT
cana-6116	106	34	1	1	NUM
cana-6116	106	35	2	2	NUM
cana-6116	106	36	21	21	NUM
cana-6116	106	37	1	1	NUM
cana-6116	106	38	`	`	SYM
cana-6116	106	39	3	3	NUM
cana-6116	106	40	31	31	NUM
cana-6116	106	41	1	1	NUM
cana-6116	106	42	3	3	NUM
cana-6116	106	43	31	31	NUM
cana-6116	106	44	112	112	NUM
cana-6116	106	45	1	1	NUM
cana-6116	106	46	20	20	NUM
cana-6116	106	47	12	12	NUM
cana-6116	106	48	1	1	NUM
cana-6116	106	49	20	20	NUM
cana-6116	106	50	1	1	NUM
cana-6116	106	51	3	3	NUM
cana-6116	106	52	3	3	NUM
cana-6116	106	53	10	10	NUM
cana-6116	106	54	1	1	NUM
cana-6116	106	55	2	2	NUM
cana-6116	106	56	21	21	NUM
cana-6116	106	57	1	1	NUM
cana-6116	106	58	`	`	NUM
cana-6116	106	59	10	10	NUM
cana-6116	106	60	1	1	NUM
cana-6116	106	61	2	2	NUM
cana-6116	106	62	21	21	NUM
cana-6116	106	63	1	1	NUM
cana-6116	106	64	`	`	SYM
cana-6116	106	65	1	1	NUM
cana-6116	106	66	a	a	DET
cana-6116	106	67	a	a	DET
cana-6116	106	68	a	a	DET
cana-6116	106	69	k	k	NOUN
cana-6116	106	70	a	a	DET
cana-6116	106	71	a	a	DET
cana-6116	106	72	k	k	X
cana-6116	106	73	a	a	DET
cana-6116	106	74	a	a	DET
cana-6116	106	75	ka	ka	PROPN
cana-6116	106	76	k	k	PROPN
cana-6116	106	77	u	u	PROPN
cana-6116	106	78	a	a	DET
cana-6116	106	79	k	k	X
cana-6116	106	80	u	u	NOUN
cana-6116	106	81	x	x	NOUN
cana-6116	106	82	x	x	PUNCT
cana-6116	106	83	x	x	PUNCT
cana-6116	106	84	u	u	NOUN
cana-6116	106	85	a	a	DET
cana-6116	106	86	a	a	DET
cana-6116	106	87	a	a	DET
cana-6116	106	88	k	k	X
cana-6116	106	89	u	u	NOUN
cana-6116	106	90	a	a	PRON
cana-6116	106	91	a	a	DET
cana-6116	106	92	a	a	DET
cana-6116	106	93	k	k	NOUN
cana-6116	106	94	+	+	CCONJ
cana-6116	106	95	−	−	PROPN
cana-6116	107	1	+	+	CCONJ
cana-6116	107	2	+	+	CCONJ
cana-6116	107	3			NUM
cana-6116	107	4			NOUN
cana-6116	107	5	=	=	PUNCT
cana-6116	107	6	−	−	PUNCT
cana-6116	107	7	+	+	NOUN
cana-6116	107	8			NOUN
cana-6116	107	9			NOUN
cana-6116	107	10	+	+	CCONJ
cana-6116	107	11	+	+	PUNCT
cana-6116	108	1	+	+	CCONJ
cana-6116	108	2	+	+	ADJ
cana-6116	108	3			NOUN
cana-6116	108	4			PROPN
cana-6116	108	5	4.4	4.4	NUM
cana-6116	108	6	equilibrium	equilibrium	NOUN
cana-6116	108	7	state	state	NOUN
cana-6116	108	8	2	2	NUM
cana-6116	108	9	4	4	NUM
cana-6116	108	10	1	1	NUM
cana-6116	108	11	2	2	NUM
cana-6116	108	12	2	2	NUM
cana-6116	108	13	3	3	NUM
cana-6116	108	14	21	21	NUM
cana-6116	108	15	:	:	PUNCT
cana-6116	108	16	,	,	PUNCT
cana-6116	108	17	,	,	PUNCT
cana-6116	108	18	0	0	PUNCT
cana-6116	108	19	a	a	DET
cana-6116	108	20	e	e	PROPN
cana-6116	108	21	n	n	CCONJ
cana-6116	108	22	n	n	PROPN
cana-6116	108	23	n	n	ADV
cana-6116	108	24	a	a	DET
cana-6116	108	25	=	=	ADJ
cana-6116	108	26	−	−	PROPN
cana-6116	108	27	=	=	SYM
cana-6116	108	28	−	−	NOUN
cana-6116	108	29	=	=	NOUN
cana-6116	108	30	communications	communication	NOUN
cana-6116	108	31	on	on	ADP
cana-6116	108	32	applied	apply	VERB
cana-6116	108	33	nonlinear	nonlinear	ADJ
cana-6116	108	34	analysis	analysis	NOUN
cana-6116	108	35	issn	issn	NOUN
cana-6116	108	36	:	:	PUNCT
cana-6116	108	37	1074	1074	NUM
cana-6116	108	38	-	-	PUNCT
cana-6116	108	39	133x	133x	NUM
cana-6116	108	40	vol	vol	VERB
cana-6116	108	41	32	32	NUM
cana-6116	108	42	no	no	NOUN
cana-6116	108	43	.	.	PUNCT
cana-6116	109	1	10s	10	NOUN
cana-6116	109	2	(	(	PUNCT
cana-6116	109	3	2025	2025	NUM
cana-6116	109	4	)	)	PUNCT
cana-6116	109	5	3418	3418	NUM
cana-6116	109	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	109	7	2	2	NUM
cana-6116	109	8	11	11	NUM
cana-6116	109	9	2	2	NUM
cana-6116	109	10	12	12	NUM
cana-6116	109	11	21	21	NUM
cana-6116	109	12	21	21	NUM
cana-6116	109	13	2	2	NUM
cana-6116	109	14	31	31	NUM
cana-6116	109	15	21	21	NUM
cana-6116	109	16	2	2	NUM
cana-6116	109	17	3	3	NUM
cana-6116	109	18	3	3	NUM
cana-6116	109	19	21	21	NUM
cana-6116	109	20	3	3	NUM
cana-6116	109	21	0	0	NUM
cana-6116	109	22	0	0	NUM
cana-6116	109	23	0	0	NUM
cana-6116	109	24	;	;	PUNCT
cana-6116	109	25	0	0	NUM
cana-6116	109	26	0	0	NUM
cana-6116	110	1	a	a	DET
cana-6116	110	2	a	a	DET
cana-6116	110	3	a	a	DET
cana-6116	110	4	a	a	DET
cana-6116	110	5	a	a	DET
cana-6116	110	6	a	a	DET
cana-6116	110	7	a	a	DET
cana-6116	110	8	a	a	DET
cana-6116	110	9	a	a	NOUN
cana-6116	110	10	a	a	DET
cana-6116	110	11	where	where	SCONJ
cana-6116	110	12	a	a	DET
cana-6116	110	13	a	a	DET
cana-6116	110	14			NUM
cana-6116	110	15			PROPN
cana-6116	110	16			PROPN
cana-6116	110	17			PROPN
cana-6116	110	18			NOUN
cana-6116	110	19	−	−	PUNCT
cana-6116	110	20			ADJ
cana-6116	110	21			NOUN
cana-6116	110	22			NOUN
cana-6116	110	23	=	=	PUNCT
cana-6116	110	24	−	−	PROPN
cana-6116	111	1	=	=	SYM
cana-6116	111	2	−	−	X
cana-6116	111	3			ADJ
cana-6116	111	4			NOUN
cana-6116	111	5			NOUN
cana-6116	111	6			NOUN
cana-6116	111	7			NOUN
cana-6116	111	8			NOUN
cana-6116	111	9			PROPN
cana-6116	111	10			PROPN
cana-6116	111	11	in	in	ADP
cana-6116	111	12	this	this	DET
cana-6116	111	13	state	state	NOUN
cana-6116	111	14	the	the	DET
cana-6116	111	15	characteristic	characteristic	ADJ
cana-6116	111	16	equation	equation	NOUN
cana-6116	111	17	is	be	AUX
cana-6116	111	18	(	(	PUNCT
cana-6116	111	19	)	)	PUNCT
cana-6116	111	20	2	2	NUM
cana-6116	111	21	2	2	NUM
cana-6116	111	22	11	11	NUM
cana-6116	111	23	3	3	NUM
cana-6116	111	24	2	2	NUM
cana-6116	111	25	2	2	NUM
cana-6116	111	26	21	21	NUM
cana-6116	111	27	21	21	NUM
cana-6116	111	28	0	0	NUM
cana-6116	111	29	a	a	DET
cana-6116	111	30	a	a	DET
cana-6116	111	31	a	a	DET
cana-6116	111	32	a	a	DET
cana-6116	111	33	a	a	DET
cana-6116	111	34			ADJ
cana-6116	111	35			PROPN
cana-6116	111	36			ADJ
cana-6116	111	37			ADJ
cana-6116	111	38			NOUN
cana-6116	111	39			NOUN
cana-6116	111	40			NOUN
cana-6116	111	41	−	−	PROPN
cana-6116	112	1	−	−	NOUN
cana-6116	113	1	−	−	PROPN
cana-6116	114	1	=	=	SYM
cana-6116	114	2			PROPN
cana-6116	114	3			PROPN
cana-6116	114	4			PROPN
cana-6116	114	5			NOUN
cana-6116	114	6	(	(	PUNCT
cana-6116	114	7	11	11	NUM
cana-6116	114	8	)	)	PUNCT
cana-6116	114	9	one	one	NUM
cana-6116	114	10	of	of	ADP
cana-6116	114	11	the	the	DET
cana-6116	114	12	three	three	NUM
cana-6116	114	13	roots	root	NOUN
cana-6116	114	14	is	be	AUX
cana-6116	114	15	3	3	NOUN
cana-6116	114	16	.	.	PUNCT
cana-6116	115	1	according	accord	VERB
cana-6116	115	2	to	to	ADP
cana-6116	115	3	routh	routh	PROPN
cana-6116	115	4	-	-	PUNCT
cana-6116	115	5	hurwitz	hurwitz	PROPN
cana-6116	115	6	’s	’s	PART
cana-6116	115	7	criteria	criterion	NOUN
cana-6116	115	8	,	,	PUNCT
cana-6116	115	9	all	all	DET
cana-6116	115	10	the	the	DET
cana-6116	115	11	coefficients	coefficient	NOUN
cana-6116	115	12	of	of	ADP
cana-6116	115	13	the	the	DET
cana-6116	115	14	quadratic	quadratic	ADJ
cana-6116	115	15	polynomial	polynomial	ADJ
cana-6116	115	16	r.h.s	r.h.s	NOUN
cana-6116	115	17	.	.	PUNCT
cana-6116	115	18	of	of	ADP
cana-6116	115	19	the	the	DET
cana-6116	115	20	equation	equation	NOUN
cana-6116	115	21	(	(	PUNCT
cana-6116	115	22	11	11	NUM
cana-6116	115	23	)	)	PUNCT
cana-6116	115	24	have	have	VERB
cana-6116	115	25	not	not	PART
cana-6116	115	26	same	same	ADJ
cana-6116	115	27	sign	sign	NOUN
cana-6116	115	28	.	.	PUNCT
cana-6116	116	1	hence	hence	ADV
cana-6116	116	2	the	the	DET
cana-6116	116	3	state	state	NOUN
cana-6116	116	4	is	be	AUX
cana-6116	116	5	unstable	unstable	ADJ
cana-6116	116	6	.	.	PUNCT
cana-6116	117	1	let	let	VERB
cana-6116	117	2	21	21	NUM
cana-6116	117	3	,	,	PUNCT
cana-6116	117	4			VERB
cana-6116	117	5	be	be	AUX
cana-6116	117	6	the	the	DET
cana-6116	117	7	zeros	zero	NOUN
cana-6116	117	8	of	of	ADP
cana-6116	117	9	the	the	DET
cana-6116	117	10	quadratic	quadratic	ADJ
cana-6116	117	11	polynomial	polynomial	ADJ
cana-6116	117	12	r.h.s	r.h.s	NOUN
cana-6116	117	13	.	.	PUNCT
cana-6116	118	1	of	of	ADP
cana-6116	118	2	the	the	DET
cana-6116	118	3	above	above	ADJ
cana-6116	118	4	equation	equation	NOUN
cana-6116	118	5	(	(	PUNCT
cana-6116	118	6	11	11	NUM
cana-6116	118	7	)	)	PUNCT
cana-6116	118	8	.	.	PUNCT
cana-6116	119	1	there	there	ADV
cana-6116	119	2	fore	fore	NOUN
cana-6116	119	3	,	,	PUNCT
cana-6116	119	4	the	the	DET
cana-6116	119	5	solutions	solution	NOUN
cana-6116	119	6	are	be	AUX
cana-6116	119	7	(	(	PUNCT
cana-6116	119	8	)	)	PUNCT
cana-6116	119	9	(	(	PUNCT
cana-6116	119	10	)	)	PUNCT
cana-6116	119	11	1	1	NUM
cana-6116	119	12	221	221	NUM
cana-6116	119	13	2	2	NUM
cana-6116	119	14	1	1	NUM
cana-6116	119	15	10	10	NUM
cana-6116	119	16	1	1	NUM
cana-6116	119	17	2	2	NUM
cana-6116	119	18	20	20	NUM
cana-6116	119	19	21	21	NUM
cana-6116	119	20	2	2	NUM
cana-6116	119	21	2	2	NUM
cana-6116	119	22	10	10	NUM
cana-6116	119	23	1	1	NUM
cana-6116	119	24	2	2	NUM
cana-6116	119	25	20	20	NUM
cana-6116	119	26	1	1	NUM
cana-6116	119	27	21	21	NUM
cana-6116	119	28	2	2	NUM
cana-6116	119	29	1	1	NUM
cana-6116	119	30	2	2	NUM
cana-6116	119	31	21	21	NUM
cana-6116	119	32	2	2	NUM
cana-6116	119	33	2	2	NUM
cana-6116	119	34	1	1	NUM
cana-6116	119	35	t	t	NOUN
cana-6116	119	36	ta	ta	ADP
cana-6116	119	37	u	u	X
cana-6116	119	38	u	u	PROPN
cana-6116	119	39	a	a	DET
cana-6116	119	40	u	u	X
cana-6116	119	41	u	u	X
cana-6116	119	42	u	u	X
cana-6116	119	43	e	e	X
cana-6116	119	44	e	e	X
cana-6116	119	45	a	a	DET
cana-6116	119	46	a	a	DET
cana-6116	119	47			ADJ
cana-6116	119	48			NOUN
cana-6116	119	49			X
cana-6116	119	50			ADJ
cana-6116	119	51			ADJ
cana-6116	119	52			PRON
cana-6116	119	53			X
cana-6116	119	54			ADJ
cana-6116	119	55			ADJ
cana-6116	119	56			PRON
cana-6116	119	57			X
cana-6116	119	58			ADJ
cana-6116	119	59			PRON
cana-6116	119	60			X
cana-6116	119	61			ADJ
cana-6116	119	62			PROPN
cana-6116	119	63			ADJ
cana-6116	119	64			PROPN
cana-6116	119	65	+	+	NOUN
cana-6116	119	66	+	+	NOUN
cana-6116	119	67	=	=	SYM
cana-6116	120	1	+	+	ADJ
cana-6116	120	2			NOUN
cana-6116	120	3			NOUN
cana-6116	120	4			NOUN
cana-6116	120	5			NOUN
cana-6116	120	6	−	−	NOUN
cana-6116	120	7	−	−	PROPN
cana-6116	120	8			PROPN
cana-6116	120	9			VERB
cana-6116	120	10			PROPN
cana-6116	120	11	31	31	NUM
cana-6116	120	12	221	221	NUM
cana-6116	120	13	2	2	NUM
cana-6116	120	14	10	10	NUM
cana-6116	120	15	2	2	NUM
cana-6116	120	16	20	20	NUM
cana-6116	120	17	21	21	NUM
cana-6116	120	18	2	2	NUM
cana-6116	120	19	10	10	NUM
cana-6116	120	20	1	1	NUM
cana-6116	120	21	20	20	NUM
cana-6116	120	22	2	2	NUM
cana-6116	120	23	3	3	NUM
cana-6116	120	24	30	30	NUM
cana-6116	120	25	2	2	NUM
cana-6116	120	26	1	1	NUM
cana-6116	120	27	1	1	NUM
cana-6116	120	28	2	2	NUM
cana-6116	120	29	,	,	PUNCT
cana-6116	120	30	tt	tt	PROPN
cana-6116	120	31	ta	ta	ADP
cana-6116	120	32	u	u	PROPN
cana-6116	120	33	u	u	PROPN
cana-6116	120	34	a	a	DET
cana-6116	120	35	u	u	X
cana-6116	120	36	u	u	X
cana-6116	120	37	u	u	X
cana-6116	120	38	e	e	X
cana-6116	120	39	e	e	X
cana-6116	120	40	u	u	PRON
cana-6116	120	41	u	u	X
cana-6116	120	42	e	e	NOUN
cana-6116	120	43			NOUN
cana-6116	120	44			VERB
cana-6116	120	45			X
cana-6116	120	46			NUM
cana-6116	120	47			X
cana-6116	120	48			ADJ
cana-6116	120	49			ADJ
cana-6116	120	50			ADJ
cana-6116	120	51			ADJ
cana-6116	120	52			NOUN
cana-6116	120	53			PROPN
cana-6116	120	54			NOUN
cana-6116	120	55	+	+	VERB
cana-6116	120	56	+	+	PUNCT
cana-6116	120	57	=	=	PUNCT
cana-6116	121	1	+	+	CCONJ
cana-6116	122	1	=	=	PROPN
cana-6116	122	2			PROPN
cana-6116	123	1			PROPN
cana-6116	124	1			PROPN
cana-6116	125	1			INTJ
cana-6116	126	1	−	−	NOUN
cana-6116	126	2	−	−	NUM
cana-6116	126	3			NOUN
cana-6116	126	4			PROPN
cana-6116	126	5			NOUN
cana-6116	126	6	(	(	PUNCT
cana-6116	126	7	12	12	NUM
cana-6116	126	8	)	)	PUNCT
cana-6116	126	9	trajectories	trajectory	NOUN
cana-6116	126	10	of	of	ADP
cana-6116	126	11	perturbations	perturbation	NOUN
cana-6116	126	12	:	:	PUNCT
cana-6116	126	13	the	the	DET
cana-6116	126	14	trajectories	trajectory	NOUN
cana-6116	126	15	in	in	ADP
cana-6116	126	16	3	3	NUM
cana-6116	126	17	1	1	NUM
cana-6116	126	18	3	3	NUM
cana-6116	126	19	2,u	2,u	NUM
cana-6116	126	20	u	u	NOUN
cana-6116	126	21	u	u	PROPN
cana-6116	126	22	u−	u−	PROPN
cana-6116	126	23	−	−	PROPN
cana-6116	126	24	planes	plane	NOUN
cana-6116	126	25	are	be	AUX
cana-6116	126	26	(	(	PUNCT
cana-6116	126	27	)	)	PUNCT
cana-6116	126	28	(	(	PUNCT
cana-6116	126	29	)	)	PUNCT
cana-6116	126	30	1	1	NUM
cana-6116	126	31	2	2	NUM
cana-6116	126	32	3	3	NUM
cana-6116	126	33	321	321	NUM
cana-6116	126	34	2	2	NUM
cana-6116	126	35	1	1	NUM
cana-6116	126	36	10	10	NUM
cana-6116	126	37	1	1	NUM
cana-6116	126	38	2	2	NUM
cana-6116	126	39	20	20	NUM
cana-6116	126	40	21	21	NUM
cana-6116	126	41	2	2	NUM
cana-6116	126	42	2	2	NUM
cana-6116	126	43	10	10	NUM
cana-6116	126	44	1	1	NUM
cana-6116	126	45	2	2	NUM
cana-6116	126	46	20	20	NUM
cana-6116	126	47	1	1	NUM
cana-6116	126	48	3	3	NUM
cana-6116	126	49	3	3	NUM
cana-6116	126	50	21	21	NUM
cana-6116	126	51	2	2	NUM
cana-6116	126	52	10	10	NUM
cana-6116	126	53	1	1	NUM
cana-6116	126	54	2	2	NUM
cana-6116	126	55	21	21	NUM
cana-6116	126	56	2	2	NUM
cana-6116	126	57	10	10	NUM
cana-6116	126	58	2	2	NUM
cana-6116	126	59	1	1	NUM
cana-6116	126	60	a	a	DET
cana-6116	126	61	u	u	NOUN
cana-6116	126	62	u	u	NOUN
cana-6116	126	63	a	a	DET
cana-6116	126	64	u	u	X
cana-6116	126	65	u	u	NOUN
cana-6116	126	66	x	x	NOUN
cana-6116	126	67	x	x	X
cana-6116	126	68	x	x	X
cana-6116	126	69	a	a	DET
cana-6116	126	70	u	u	NOUN
cana-6116	126	71	a	a	DET
cana-6116	126	72	u	u	NOUN
cana-6116	126	73			NOUN
cana-6116	126	74			ADJ
cana-6116	126	75			PROPN
cana-6116	126	76			X
cana-6116	126	77			X
cana-6116	126	78			ADJ
cana-6116	126	79			ADJ
cana-6116	126	80			PRON
cana-6116	126	81			X
cana-6116	126	82			ADJ
cana-6116	126	83			ADJ
cana-6116	126	84			PRON
cana-6116	126	85			X
cana-6116	126	86			ADJ
cana-6116	126	87			PRON
cana-6116	126	88			X
cana-6116	126	89			ADJ
cana-6116	126	90			PROPN
cana-6116	126	91			ADJ
cana-6116	126	92			PROPN
cana-6116	126	93	+	+	NOUN
cana-6116	126	94	+	+	NOUN
cana-6116	126	95	=	=	SYM
cana-6116	126	96	+	+	ADJ
cana-6116	126	97			NOUN
cana-6116	126	98			NOUN
cana-6116	126	99			NOUN
cana-6116	126	100			NOUN
cana-6116	126	101	−	−	NOUN
cana-6116	126	102	−	−	PROPN
cana-6116	126	103			PROPN
cana-6116	126	104			VERB
cana-6116	126	105			PROPN
cana-6116	126	106	(	(	PUNCT
cana-6116	126	107	)	)	PUNCT
cana-6116	126	108	(	(	PUNCT
cana-6116	126	109	)	)	PUNCT
cana-6116	126	110	1	1	NUM
cana-6116	126	111	2	2	NUM
cana-6116	126	112	3	3	NUM
cana-6116	126	113	321	321	NUM
cana-6116	126	114	2	2	NUM
cana-6116	126	115	10	10	NUM
cana-6116	126	116	2	2	NUM
cana-6116	126	117	20	20	NUM
cana-6116	126	118	21	21	NUM
cana-6116	126	119	2	2	NUM
cana-6116	126	120	10	10	NUM
cana-6116	126	121	1	1	NUM
cana-6116	126	122	20	20	NUM
cana-6116	126	123	2	2	NUM
cana-6116	126	124	3	3	NUM
cana-6116	126	125	3	3	NUM
cana-6116	126	126	20	20	NUM
cana-6116	126	127	2	2	NUM
cana-6116	126	128	1	1	NUM
cana-6116	126	129	20	20	NUM
cana-6116	126	130	1	1	NUM
cana-6116	126	131	2	2	NUM
cana-6116	126	132	a	a	DET
cana-6116	126	133	u	u	NOUN
cana-6116	126	134	u	u	NOUN
cana-6116	126	135	a	a	DET
cana-6116	126	136	u	u	X
cana-6116	126	137	u	u	NOUN
cana-6116	126	138	x	x	NOUN
cana-6116	126	139	x	x	SYM
cana-6116	126	140	x	x	PUNCT
cana-6116	126	141	u	u	NOUN
cana-6116	126	142	u	u	NOUN
cana-6116	126	143			NOUN
cana-6116	126	144			ADJ
cana-6116	126	145			PROPN
cana-6116	126	146			NUM
cana-6116	126	147			ADJ
cana-6116	126	148			X
cana-6116	126	149			X
cana-6116	126	150			ADJ
cana-6116	126	151			ADJ
cana-6116	126	152			ADJ
cana-6116	126	153			ADJ
cana-6116	126	154			PROPN
cana-6116	126	155			ADJ
cana-6116	126	156			PROPN
cana-6116	126	157	+	+	NOUN
cana-6116	126	158	+	+	NOUN
cana-6116	126	159	=	=	SYM
cana-6116	126	160	+	+	ADJ
cana-6116	126	161			NOUN
cana-6116	126	162			NOUN
cana-6116	126	163			NOUN
cana-6116	126	164			NOUN
cana-6116	126	165	−	−	NOUN
cana-6116	126	166	−	−	PROPN
cana-6116	126	167			PROPN
cana-6116	126	168			VERB
cana-6116	126	169			PROPN
cana-6116	126	170	4.5	4.5	NUM
cana-6116	126	171	equilibrium	equilibrium	NOUN
cana-6116	126	172	state	state	NOUN
cana-6116	126	173	31	31	NUM
cana-6116	126	174	1	1	NUM
cana-6116	126	175	5	5	NUM
cana-6116	126	176	1	1	NUM
cana-6116	126	177	1	1	NUM
cana-6116	126	178	2	2	NUM
cana-6116	126	179	3	3	NUM
cana-6116	126	180	3	3	NUM
cana-6116	126	181	33	33	NUM
cana-6116	126	182	:	:	PUNCT
cana-6116	126	183	,	,	PUNCT
cana-6116	126	184	0	0	NUM
cana-6116	126	185	,	,	PUNCT
cana-6116	126	186	.	.	PUNCT
cana-6116	127	1	a	a	DET
cana-6116	127	2	k	k	PROPN
cana-6116	127	3	e	e	PROPN
cana-6116	127	4	n	n	CCONJ
cana-6116	127	5	k	k	PROPN
cana-6116	127	6	n	n	CCONJ
cana-6116	127	7	n	n	PROPN
cana-6116	127	8	k	k	PROPN
cana-6116	127	9	a	a	X
cana-6116	127	10	=	=	X
cana-6116	127	11	=	=	PUNCT
cana-6116	128	1	=	=	PUNCT
cana-6116	129	1	+	+	CCONJ
cana-6116	129	2	at	at	ADP
cana-6116	129	3	this	this	DET
cana-6116	129	4	point	point	NOUN
cana-6116	129	5	,	,	PUNCT
cana-6116	129	6	we	we	PRON
cana-6116	129	7	have	have	VERB
cana-6116	129	8	(	(	PUNCT
cana-6116	129	9	)	)	PUNCT
cana-6116	129	10	1	1	NUM
cana-6116	129	11	12	12	NUM
cana-6116	129	12	1	1	NUM
cana-6116	129	13	7	7	NUM
cana-6116	129	14	31	31	NUM
cana-6116	129	15	1	1	NUM
cana-6116	129	16	31	31	NUM
cana-6116	129	17	3	3	NUM
cana-6116	129	18	3	3	NUM
cana-6116	129	19	31	31	NUM
cana-6116	129	20	1	1	NUM
cana-6116	129	21	33	33	NUM
cana-6116	129	22	0	0	NUM
cana-6116	129	23	0	0	NUM
cana-6116	129	24	0	0	NUM
cana-6116	129	25	0	0	NUM
cana-6116	130	1	a	a	DET
cana-6116	130	2	a	a	DET
cana-6116	130	3	k	k	NOUN
cana-6116	130	4	a	a	DET
cana-6116	130	5	a	a	DET
cana-6116	130	6	k	k	X
cana-6116	130	7	a	a	X
cana-6116	130	8	k	k	PROPN
cana-6116	130	9	a	a	DET
cana-6116	130	10	a	a	DET
cana-6116	130	11	k	k	NOUN
cana-6116	130	12	a	a	DET
cana-6116	130	13			NUM
cana-6116	130	14			PROPN
cana-6116	130	15			NOUN
cana-6116	130	16			NOUN
cana-6116	131	1			NOUN
cana-6116	131	2	−	−	PUNCT
cana-6116	131	3			ADJ
cana-6116	131	4			PUNCT
cana-6116	131	5	=	=	X
cana-6116	131	6			NOUN
cana-6116	131	7			NOUN
cana-6116	131	8			NOUN
cana-6116	131	9			X
cana-6116	131	10			NOUN
cana-6116	131	11	+	+	CCONJ
cana-6116	132	1	−	−	PUNCT
cana-6116	133	1	+	+	ADJ
cana-6116	133	2			PROPN
cana-6116	133	3			ADJ
cana-6116	133	4			PROPN
cana-6116	133	5			PROPN
cana-6116	133	6			PROPN
cana-6116	133	7			PROPN
cana-6116	133	8	communications	communication	NOUN
cana-6116	133	9	on	on	ADP
cana-6116	133	10	applied	apply	VERB
cana-6116	133	11	nonlinear	nonlinear	ADJ
cana-6116	133	12	analysis	analysis	NOUN
cana-6116	133	13	issn	issn	NOUN
cana-6116	133	14	:	:	PUNCT
cana-6116	133	15	1074	1074	NUM
cana-6116	133	16	-	-	PUNCT
cana-6116	133	17	133x	133x	NUM
cana-6116	133	18	vol	vol	VERB
cana-6116	133	19	32	32	NUM
cana-6116	133	20	no	no	NOUN
cana-6116	133	21	.	.	PUNCT
cana-6116	134	1	10s	10	NOUN
cana-6116	134	2	(	(	PUNCT
cana-6116	134	3	2025	2025	NUM
cana-6116	134	4	)	)	PUNCT
cana-6116	134	5	3419	3419	NUM
cana-6116	134	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	135	1	the	the	DET
cana-6116	135	2	characteristic	characteristic	ADJ
cana-6116	135	3	equation	equation	NOUN
cana-6116	135	4	is	be	AUX
cana-6116	135	5	given	give	VERB
cana-6116	135	6	by	by	ADP
cana-6116	135	7	(	(	PUNCT
cana-6116	135	8	)	)	PUNCT
cana-6116	135	9	(	(	PUNCT
cana-6116	135	10	)	)	PUNCT
cana-6116	135	11	(	(	PUNCT
cana-6116	135	12	)	)	SYM
cana-6116	135	13	1	1	NUM
cana-6116	135	14	7	7	NUM
cana-6116	135	15	3	3	NUM
cana-6116	135	16	31	31	NUM
cana-6116	135	17	1	1	NUM
cana-6116	135	18	0a	0a	PROPN
cana-6116	135	19	a	a	DET
cana-6116	135	20	a	a	DET
cana-6116	135	21	k	k	PROPN
cana-6116	135	22			ADJ
cana-6116	135	23			NOUN
cana-6116	135	24	+	+	X
cana-6116	135	25	−	−	PROPN
cana-6116	135	26	+	+	SYM
cana-6116	135	27	+	+	CCONJ
cana-6116	135	28	=	=	SYM
cana-6116	135	29			PROPN
cana-6116	135	30			PROPN
cana-6116	135	31			PROPN
cana-6116	135	32	(	(	PUNCT
cana-6116	135	33	13	13	NUM
cana-6116	135	34	)	)	PUNCT
cana-6116	135	35	(	(	PUNCT
cana-6116	135	36	)	)	SYM
cana-6116	135	37	1	1	NUM
cana-6116	135	38	7	7	NUM
cana-6116	135	39	3	3	NUM
cana-6116	135	40	31	31	NUM
cana-6116	135	41	1	1	NUM
cana-6116	135	42	,	,	PUNCT
cana-6116	135	43	,	,	PUNCT
cana-6116	135	44	a	a	DET
cana-6116	135	45	a	a	DET
cana-6116	135	46	a	a	DET
cana-6116	135	47	k−	k−	NOUN
cana-6116	135	48	−	−	NOUN
cana-6116	135	49	+	+	CCONJ
cana-6116	135	50	are	be	AUX
cana-6116	135	51	the	the	DET
cana-6116	135	52	characteristic	characteristic	ADJ
cana-6116	135	53	roots	root	NOUN
cana-6116	135	54	of	of	ADP
cana-6116	135	55	(	(	PUNCT
cana-6116	135	56	13	13	NUM
cana-6116	135	57	)	)	PUNCT
cana-6116	135	58	.	.	PUNCT
cana-6116	136	1	since	since	SCONJ
cana-6116	136	2	one	one	NUM
cana-6116	136	3	of	of	ADP
cana-6116	136	4	the	the	DET
cana-6116	136	5	three	three	NUM
cana-6116	136	6	roots	root	NOUN
cana-6116	136	7	is	be	AUX
cana-6116	136	8	positive	positive	ADJ
cana-6116	136	9	.	.	PUNCT
cana-6116	137	1	hence	hence	ADV
cana-6116	137	2	the	the	DET
cana-6116	137	3	state	state	NOUN
cana-6116	137	4	is	be	AUX
cana-6116	137	5	unstable	unstable	ADJ
cana-6116	137	6	and	and	CCONJ
cana-6116	137	7	the	the	DET
cana-6116	137	8	solutions	solution	NOUN
cana-6116	137	9	of	of	ADP
cana-6116	137	10	(	(	PUNCT
cana-6116	137	11	4	4	NUM
cana-6116	137	12	)	)	PUNCT
cana-6116	137	13	are	be	AUX
cana-6116	137	14	7	7	NUM
cana-6116	137	15	7112	7112	NUM
cana-6116	137	16	1	1	NUM
cana-6116	137	17	20	20	NUM
cana-6116	137	18	12	12	NUM
cana-6116	137	19	1	1	NUM
cana-6116	137	20	20	20	NUM
cana-6116	137	21	1	1	NUM
cana-6116	137	22	10	10	NUM
cana-6116	137	23	2	2	NUM
cana-6116	137	24	20	20	NUM
cana-6116	137	25	7	7	NUM
cana-6116	137	26	1	1	NUM
cana-6116	137	27	7	7	NUM
cana-6116	137	28	1	1	NUM
cana-6116	137	29	,	,	PUNCT
cana-6116	137	30	t	t	NOUN
cana-6116	137	31	ta	ta	X
cana-6116	137	32	ta	ta	X
cana-6116	137	33	k	k	PROPN
cana-6116	137	34	u	u	PROPN
cana-6116	137	35	a	a	DET
cana-6116	137	36	k	k	X
cana-6116	137	37	u	u	X
cana-6116	137	38	u	u	X
cana-6116	137	39	u	u	X
cana-6116	137	40	e	e	X
cana-6116	137	41	e	e	X
cana-6116	137	42	u	u	X
cana-6116	137	43	u	u	X
cana-6116	137	44	e	e	PROPN
cana-6116	137	45	a	a	DET
cana-6116	137	46	a	a	DET
cana-6116	137	47			NOUN
cana-6116	137	48			X
cana-6116	137	49			X
cana-6116	137	50			X
cana-6116	137	51	−	−	NOUN
cana-6116	137	52			NOUN
cana-6116	137	53	=	=	PUNCT
cana-6116	138	1	−	−	PROPN
cana-6116	138	2	+	+	CCONJ
cana-6116	138	3	=	=	NOUN
cana-6116	138	4			NOUN
cana-6116	138	5			NOUN
cana-6116	138	6	+	+	CCONJ
cana-6116	138	7	+	+	ADJ
cana-6116	138	8			PROPN
cana-6116	138	9			PROPN
cana-6116	138	10	(	(	PUNCT
cana-6116	138	11	)	)	PUNCT
cana-6116	138	12	(	(	PUNCT
cana-6116	138	13	)	)	PUNCT
cana-6116	138	14	3	3	NUM
cana-6116	138	15	31	31	NUM
cana-6116	138	16	1	1	NUM
cana-6116	138	17	71	71	NUM
cana-6116	138	18	3	3	NUM
cana-6116	138	19	30	30	NUM
cana-6116	138	20	10	10	NUM
cana-6116	138	21	20	20	NUM
cana-6116	138	22	10	10	NUM
cana-6116	138	23	20	20	NUM
cana-6116	138	24	a	a	DET
cana-6116	138	25	a	a	DET
cana-6116	138	26	k	k	PROPN
cana-6116	138	27	t	t	NOUN
cana-6116	138	28	ta	ta	X
cana-6116	138	29	tu	tu	PROPN
cana-6116	138	30	u	u	PROPN
cana-6116	138	31	a	a	DET
cana-6116	138	32	a	a	DET
cana-6116	138	33	e	e	NOUN
cana-6116	138	34	a	a	DET
cana-6116	138	35	e	e	NOUN
cana-6116	138	36	a	a	DET
cana-6116	138	37	e	e	NOUN
cana-6116	138	38	−	−	X
cana-6116	138	39	+	+	CCONJ
cana-6116	138	40	−	−	PROPN
cana-6116	138	41	=	=	SYM
cana-6116	138	42	−	−	PROPN
cana-6116	139	1	+	+	CCONJ
cana-6116	139	2	+	+	PUNCT
cana-6116	139	3	+	+	ADJ
cana-6116	139	4			PROPN
cana-6116	139	5			PROPN
cana-6116	139	6			PROPN
cana-6116	139	7	(	(	PUNCT
cana-6116	139	8	14	14	NUM
cana-6116	139	9	)	)	PUNCT
cana-6116	139	10	where	where	SCONJ
cana-6116	139	11	(	(	PUNCT
cana-6116	139	12	)	)	PUNCT
cana-6116	139	13	12	12	NUM
cana-6116	139	14	1	1	NUM
cana-6116	139	15	20	20	NUM
cana-6116	139	16	12	12	NUM
cana-6116	139	17	1	1	NUM
cana-6116	139	18	20	20	NUM
cana-6116	139	19	8	8	NUM
cana-6116	139	20	10	10	NUM
cana-6116	139	21	8	8	NUM
cana-6116	139	22	7	7	NUM
cana-6116	139	23	1	1	NUM
cana-6116	139	24	7	7	NUM
cana-6116	139	25	1	1	NUM
cana-6116	139	26	10	10	NUM
cana-6116	139	27	20	20	NUM
cana-6116	139	28	3	3	NUM
cana-6116	139	29	31	31	NUM
cana-6116	139	30	1	1	NUM
cana-6116	139	31	1	1	NUM
cana-6116	139	32	3	3	NUM
cana-6116	139	33	31	31	NUM
cana-6116	139	34	1	1	NUM
cana-6116	139	35	1	1	NUM
cana-6116	139	36	7	7	NUM
cana-6116	139	37	3	3	NUM
cana-6116	139	38	31	31	NUM
cana-6116	139	39	1	1	NUM
cana-6116	139	40	,	,	PUNCT
cana-6116	139	41	0	0	NUM
cana-6116	139	42	,	,	PUNCT
cana-6116	139	43	a	a	DET
cana-6116	139	44	k	k	X
cana-6116	139	45	u	u	PROPN
cana-6116	139	46	a	a	PRON
cana-6116	139	47	k	k	X
cana-6116	139	48	u	u	X
cana-6116	139	49	u	u	NOUN
cana-6116	139	50	a	a	PRON
cana-6116	139	51	a	a	DET
cana-6116	139	52	a	a	DET
cana-6116	139	53	a	a	NOUN
cana-6116	139	54	with	with	ADP
cana-6116	139	55	a	a	DET
cana-6116	139	56	a	a	DET
cana-6116	139	57	k	k	NOUN
cana-6116	139	58	a	a	DET
cana-6116	139	59	a	a	DET
cana-6116	139	60	a	a	DET
cana-6116	139	61	k	k	NOUN
cana-6116	139	62	a	a	DET
cana-6116	139	63	a	a	DET
cana-6116	139	64	a	a	DET
cana-6116	139	65	k	k	NOUN
cana-6116	139	66			NOUN
cana-6116	139	67			X
cana-6116	139	68			X
cana-6116	139	69			X
cana-6116	139	70			X
cana-6116	139	71			PROPN
cana-6116	139	72			NOUN
cana-6116	139	73			PROPN
cana-6116	139	74			NOUN
cana-6116	139	75	−	−	PUNCT
cana-6116	139	76			ADJ
cana-6116	139	77			NOUN
cana-6116	139	78			NOUN
cana-6116	139	79	+	+	CCONJ
cana-6116	140	1	+	+	ADJ
cana-6116	140	2			NOUN
cana-6116	140	3			PROPN
cana-6116	140	4			VERB
cana-6116	140	5	=	=	PROPN
cana-6116	140	6	=	=	PRON
cana-6116	140	7			PROPN
cana-6116	141	1	+	+	X
cana-6116	141	2			NOUN
cana-6116	141	3	+	+	CCONJ
cana-6116	141	4	−	−	PROPN
cana-6116	142	1	+	+	CCONJ
cana-6116	142	2	+	+	NUM
cana-6116	142	3	2	2	NUM
cana-6116	142	4	23	23	NUM
cana-6116	142	5	31	31	NUM
cana-6116	142	6	1	1	NUM
cana-6116	142	7	31	31	NUM
cana-6116	142	8	1	1	NUM
cana-6116	142	9	7	7	NUM
cana-6116	142	10	2	2	NUM
cana-6116	142	11	21	21	NUM
cana-6116	142	12	1	1	NUM
cana-6116	142	13	23	23	NUM
cana-6116	142	14	3	3	NUM
cana-6116	142	15	8	8	NUM
cana-6116	142	16	31	31	NUM
cana-6116	142	17	3	3	NUM
cana-6116	142	18	33	33	NUM
cana-6116	142	19	33	33	NUM
cana-6116	142	20	0	0	NUM
cana-6116	142	21	,	,	PUNCT
cana-6116	142	22	0	0	NUM
cana-6116	142	23	a	a	DET
cana-6116	142	24	a	a	DET
cana-6116	142	25	k	k	X
cana-6116	142	26	a	a	X
cana-6116	142	27	k	k	PROPN
cana-6116	142	28	a	a	DET
cana-6116	142	29	a	a	DET
cana-6116	142	30	k	k	X
cana-6116	142	31	a	a	X
cana-6116	142	32	k	k	PROPN
cana-6116	142	33	a	a	X
cana-6116	142	34	k	k	PROPN
cana-6116	142	35	a	a	DET
cana-6116	142	36	a	a	DET
cana-6116	142	37			NOUN
cana-6116	142	38	=	=	ADJ
cana-6116	142	39	+	+	X
cana-6116	143	1	+	+	PUNCT
cana-6116	143	2	+	+	CCONJ
cana-6116	143	3			ADJ
cana-6116	143	4	=	=	PUNCT
cana-6116	144	1	+	+	CCONJ
cana-6116	144	2			VERB
cana-6116	144	3	the	the	DET
cana-6116	144	4	trajectories	trajectory	NOUN
cana-6116	144	5	are	be	AUX
cana-6116	144	6	given	give	VERB
cana-6116	144	7	by	by	ADP
cana-6116	144	8	(	(	PUNCT
cana-6116	144	9	)	)	PUNCT
cana-6116	144	10	(	(	PUNCT
cana-6116	144	11	)	)	PUNCT
cana-6116	144	12	1	1	NUM
cana-6116	144	13	712	712	NUM
cana-6116	144	14	1	1	NUM
cana-6116	144	15	20	20	NUM
cana-6116	144	16	12	12	NUM
cana-6116	144	17	1	1	NUM
cana-6116	144	18	20	20	NUM
cana-6116	144	19	2	2	NUM
cana-6116	144	20	1	1	NUM
cana-6116	144	21	2	2	NUM
cana-6116	144	22	10	10	NUM
cana-6116	144	23	7	7	NUM
cana-6116	144	24	1	1	NUM
cana-6116	144	25	10	10	NUM
cana-6116	144	26	7	7	NUM
cana-6116	144	27	1	1	NUM
cana-6116	144	28	1	1	NUM
cana-6116	144	29	a	a	DET
cana-6116	144	30	a	a	DET
cana-6116	144	31	k	k	X
cana-6116	144	32	u	u	PROPN
cana-6116	144	33	a	a	DET
cana-6116	144	34	k	k	X
cana-6116	144	35	u	u	NOUN
cana-6116	144	36	x	x	NOUN
cana-6116	144	37	x	x	PUNCT
cana-6116	144	38	x	x	PUNCT
cana-6116	144	39	u	u	NOUN
cana-6116	144	40	a	a	X
cana-6116	144	41	u	u	NOUN
cana-6116	144	42	a	a	DET
cana-6116	144	43			NOUN
cana-6116	144	44			X
cana-6116	144	45			X
cana-6116	144	46	−	−	PROPN
cana-6116	144	47			PROPN
cana-6116	144	48			NOUN
cana-6116	144	49	=	=	PUNCT
cana-6116	144	50	−	−	PUNCT
cana-6116	145	1	+	+	NOUN
cana-6116	145	2			NOUN
cana-6116	145	3			NOUN
cana-6116	145	4	+	+	CCONJ
cana-6116	145	5	+	+	ADJ
cana-6116	145	6			PROPN
cana-6116	145	7			PROPN
cana-6116	145	8	(	(	PUNCT
cana-6116	145	9	)	)	PUNCT
cana-6116	145	10	3	3	NUM
cana-6116	145	11	31	31	NUM
cana-6116	145	12	1	1	NUM
cana-6116	145	13	1	1	NUM
cana-6116	145	14	7	7	NUM
cana-6116	145	15	710	710	NUM
cana-6116	145	16	20	20	NUM
cana-6116	145	17	10	10	NUM
cana-6116	145	18	20	20	NUM
cana-6116	145	19	2	2	NUM
cana-6116	145	20	3	3	NUM
cana-6116	145	21	2	2	NUM
cana-6116	145	22	2	2	NUM
cana-6116	145	23	30	30	NUM
cana-6116	145	24	30	30	NUM
cana-6116	145	25	30	30	NUM
cana-6116	145	26	1	1	NUM
cana-6116	145	27	a	a	DET
cana-6116	145	28	a	a	DET
cana-6116	145	29	k	k	NOUN
cana-6116	145	30	a	a	PRON
cana-6116	145	31	a	a	PRON
cana-6116	145	32	a	a	DET
cana-6116	145	33	a	a	DET
cana-6116	145	34	a	a	NOUN
cana-6116	145	35	x	x	NOUN
cana-6116	145	36	x	x	SYM
cana-6116	145	37	x	x	SYM
cana-6116	145	38	x	x	PUNCT
cana-6116	145	39	u	u	X
cana-6116	145	40	u	u	NOUN
cana-6116	145	41	u	u	NOUN
cana-6116	145	42			NOUN
cana-6116	145	43			X
cana-6116	145	44	−	−	PROPN
cana-6116	145	45	+	+	CCONJ
cana-6116	145	46	−	−	PROPN
cana-6116	145	47			PROPN
cana-6116	145	48	+	+	NOUN
cana-6116	145	49	=	=	PUNCT
cana-6116	145	50	−	−	PROPN
cana-6116	146	1	+	+	CCONJ
cana-6116	146	2	+	+	ADJ
cana-6116	146	3			NOUN
cana-6116	146	4			NOUN
cana-6116	146	5			NOUN
cana-6116	146	6			PROPN
cana-6116	146	7	4.6	4.6	NUM
cana-6116	146	8	equilibrium	equilibrium	NOUN
cana-6116	146	9	state	state	NOUN
cana-6116	146	10	31	31	NUM
cana-6116	146	11	1	1	NUM
cana-6116	146	12	11	11	NUM
cana-6116	146	13	1	1	NUM
cana-6116	146	14	6	6	NUM
cana-6116	146	15	1	1	NUM
cana-6116	146	16	2	2	NUM
cana-6116	146	17	3	3	NUM
cana-6116	146	18	12	12	NUM
cana-6116	146	19	12	12	NUM
cana-6116	146	20	:	:	PUNCT
cana-6116	146	21	,	,	PUNCT
cana-6116	146	22	,	,	PUNCT
cana-6116	146	23	a	a	DET
cana-6116	146	24	a	a	DET
cana-6116	146	25	e	e	NOUN
cana-6116	146	26	n	n	CCONJ
cana-6116	146	27	n	n	PROPN
cana-6116	146	28	n	n	ADV
cana-6116	146	29	a	a	PRON
cana-6116	146	30	a	a	DET
cana-6116	146	31			NUM
cana-6116	146	32			NOUN
cana-6116	146	33			X
cana-6116	146	34			X
cana-6116	146	35			X
cana-6116	146	36			NOUN
cana-6116	146	37			NOUN
cana-6116	146	38	=	=	PUNCT
cana-6116	147	1	−	−	PROPN
cana-6116	147	2	=	=	PUNCT
cana-6116	148	1	−	−	PROPN
cana-6116	149	1	+	+	CCONJ
cana-6116	149	2	=	=	PROPN
cana-6116	149	3			ADJ
cana-6116	149	4			CCONJ
cana-6116	149	5			ADJ
cana-6116	149	6			NOUN
cana-6116	149	7	in	in	ADP
cana-6116	149	8	this	this	DET
cana-6116	149	9	normal	normal	ADJ
cana-6116	149	10	state	state	NOUN
cana-6116	149	11	,	,	PUNCT
cana-6116	149	12	we	we	PRON
cana-6116	149	13	have	have	AUX
cana-6116	149	14	11	11	NUM
cana-6116	149	15	1	1	NUM
cana-6116	149	16	12	12	NUM
cana-6116	149	17	1	1	NUM
cana-6116	150	1	1	1	NUM
cana-6116	150	2	11	11	NUM
cana-6116	150	3	1	1	NUM
cana-6116	150	4	1	1	NUM
cana-6116	150	5	11	11	NUM
cana-6116	150	6	1	1	NUM
cana-6116	150	7	21	21	NUM
cana-6116	150	8	23	23	NUM
cana-6116	150	9	12	12	NUM
cana-6116	150	10	12	12	NUM
cana-6116	150	11	12	12	NUM
cana-6116	150	12	12	12	NUM
cana-6116	150	13	31	31	NUM
cana-6116	150	14	1	1	NUM
cana-6116	150	15	33	33	NUM
cana-6116	150	16	3	3	NUM
cana-6116	150	17	0	0	NUM
cana-6116	150	18	0	0	NUM
cana-6116	150	19	0	0	NUM
cana-6116	150	20	a	a	DET
cana-6116	150	21	a	a	DET
cana-6116	150	22	a	a	DET
cana-6116	150	23	a	a	DET
cana-6116	150	24	a	a	DET
cana-6116	150	25	a	a	DET
cana-6116	150	26	a	a	DET
cana-6116	150	27	a	a	DET
cana-6116	150	28	a	a	DET
cana-6116	150	29	a	a	DET
cana-6116	150	30	a	a	DET
cana-6116	150	31	a	a	DET
cana-6116	150	32	a	a	DET
cana-6116	150	33	a	a	DET
cana-6116	150	34	a	a	DET
cana-6116	150	35			NOUN
cana-6116	150	36			X
cana-6116	150	37			X
cana-6116	150	38			X
cana-6116	150	39			X
cana-6116	150	40			X
cana-6116	150	41			X
cana-6116	150	42			X
cana-6116	150	43			X
cana-6116	150	44			X
cana-6116	150	45			X
cana-6116	150	46			PROPN
cana-6116	150	47			NOUN
cana-6116	150	48	−	−	PUNCT
cana-6116	151	1			ADJ
cana-6116	151	2			NOUN
cana-6116	151	3			PROPN
cana-6116	151	4			NOUN
cana-6116	151	5			PROPN
cana-6116	151	6			NOUN
cana-6116	151	7			VERB
cana-6116	151	8			NOUN
cana-6116	151	9	=	=	PUNCT
cana-6116	152	1	−	−	PROPN
cana-6116	153	1	+	+	CCONJ
cana-6116	153	2	−	−	PROPN
cana-6116	154	1	+	+	ADJ
cana-6116	154	2			PROPN
cana-6116	154	3			PROPN
cana-6116	155	1			PROPN
cana-6116	155	2			ADJ
cana-6116	155	3			PROPN
cana-6116	156	1			ADJ
cana-6116	156	2			NUM
cana-6116	156	3			PROPN
cana-6116	156	4			NOUN
cana-6116	156	5			NOUN
cana-6116	156	6			NOUN
cana-6116	156	7			NOUN
cana-6116	156	8	−	−	PUNCT
cana-6116	156	9			PROPN
cana-6116	156	10			VERB
cana-6116	156	11			PROPN
cana-6116	156	12	the	the	DET
cana-6116	156	13	characteristic	characteristic	ADJ
cana-6116	156	14	equation	equation	NOUN
cana-6116	156	15	is	be	AUX
cana-6116	156	16	3	3	NUM
cana-6116	156	17	2	2	NUM
cana-6116	156	18	1	1	NUM
cana-6116	156	19	2	2	NUM
cana-6116	156	20	3	3	NUM
cana-6116	156	21	0b	0b	NOUN
cana-6116	156	22	b	b	PROPN
cana-6116	156	23	b	b	PROPN
cana-6116	156	24			X
cana-6116	156	25	+	+	X
cana-6116	156	26	+	+	PROPN
cana-6116	156	27	+	+	NUM
cana-6116	156	28	=	=	SYM
cana-6116	156	29	(	(	PUNCT
cana-6116	156	30	15	15	NUM
cana-6116	156	31	)	)	PUNCT
cana-6116	156	32	where	where	SCONJ
cana-6116	156	33	11	11	NUM
cana-6116	156	34	1	1	NUM
cana-6116	156	35	21	21	NUM
cana-6116	156	36	1	1	NUM
cana-6116	156	37	11	11	NUM
cana-6116	156	38	1	1	NUM
cana-6116	156	39	1	1	NUM
cana-6116	156	40	3	3	NUM
cana-6116	156	41	33	33	NUM
cana-6116	156	42	21	21	NUM
cana-6116	156	43	2	2	NUM
cana-6116	156	44	33	33	NUM
cana-6116	156	45	31	31	NUM
cana-6116	156	46	2	2	NUM
cana-6116	156	47	1	1	NUM
cana-6116	156	48	;	;	PUNCT
cana-6116	156	49	0	0	NUM
cana-6116	156	50	a	a	DET
cana-6116	156	51	a	a	DET
cana-6116	156	52	a	a	DET
cana-6116	156	53	b	b	NOUN
cana-6116	156	54	a	a	DET
cana-6116	156	55	a	a	DET
cana-6116	156	56	a	a	DET
cana-6116	156	57	a	a	DET
cana-6116	156	58	a	a	DET
cana-6116	156	59	a	a	DET
cana-6116	156	60	b	b	NOUN
cana-6116	156	61	a	a	PRON
cana-6116	156	62			NOUN
cana-6116	156	63			X
cana-6116	156	64			X
cana-6116	156	65			X
cana-6116	156	66			X
cana-6116	156	67			X
cana-6116	156	68			NOUN
cana-6116	156	69			NOUN
cana-6116	156	70			NOUN
cana-6116	156	71			NOUN
cana-6116	156	72	=	=	PUNCT
cana-6116	157	1	−	−	PROPN
cana-6116	158	1	+	+	CCONJ
cana-6116	158	2	=	=	SYM
cana-6116	158	3	+	+	NUM
cana-6116	158	4			PROPN
cana-6116	158	5			PROPN
cana-6116	159	1			PROPN
cana-6116	159	2			PROPN
cana-6116	160	1			ADJ
cana-6116	160	2			PROPN
cana-6116	160	3			PROPN
cana-6116	160	4			NOUN
cana-6116	160	5	communications	communication	NOUN
cana-6116	160	6	on	on	ADP
cana-6116	160	7	applied	apply	VERB
cana-6116	160	8	nonlinear	nonlinear	ADJ
cana-6116	160	9	analysis	analysis	NOUN
cana-6116	160	10	issn	issn	NOUN
cana-6116	160	11	:	:	PUNCT
cana-6116	160	12	1074	1074	NUM
cana-6116	160	13	-	-	PUNCT
cana-6116	160	14	133x	133x	NUM
cana-6116	160	15	vol	vol	VERB
cana-6116	160	16	32	32	NUM
cana-6116	160	17	no	no	NOUN
cana-6116	160	18	.	.	PUNCT
cana-6116	161	1	10s	10	NOUN
cana-6116	161	2	(	(	PUNCT
cana-6116	161	3	2025	2025	NUM
cana-6116	161	4	)	)	PUNCT
cana-6116	161	5	3420	3420	NUM
cana-6116	161	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	161	7	23	23	NUM
cana-6116	161	8	31	31	NUM
cana-6116	161	9	31	31	NUM
cana-6116	161	10	11	11	NUM
cana-6116	161	11	1	1	NUM
cana-6116	161	12	3	3	NUM
cana-6116	161	13	1	1	NUM
cana-6116	161	14	21	21	NUM
cana-6116	161	15	33	33	NUM
cana-6116	161	16	3	3	NUM
cana-6116	161	17	a	a	DET
cana-6116	161	18	aa	aa	NOUN
cana-6116	161	19	b	b	PROPN
cana-6116	161	20	a	a	DET
cana-6116	161	21	a	a	DET
cana-6116	161	22	a	a	DET
cana-6116	161	23			NUM
cana-6116	161	24			NOUN
cana-6116	161	25			X
cana-6116	161	26			X
cana-6116	161	27			X
cana-6116	161	28			X
cana-6116	161	29			NOUN
cana-6116	161	30			PROPN
cana-6116	161	31			PROPN
cana-6116	161	32	=	=	PUNCT
cana-6116	162	1	+	+	NUM
cana-6116	163	1	−	−	PROPN
cana-6116	163	2			NOUN
cana-6116	163	3			CCONJ
cana-6116	164	1			ADJ
cana-6116	164	2			NOUN
cana-6116	164	3			NOUN
cana-6116	164	4	according	accord	VERB
cana-6116	164	5	to	to	ADP
cana-6116	164	6	routh	routh	PROPN
cana-6116	164	7	-	-	PUNCT
cana-6116	164	8	hurwitz	hurwitz	PROPN
cana-6116	164	9	’s	’s	PART
cana-6116	164	10	criteria	criterion	NOUN
cana-6116	164	11	,	,	PUNCT
cana-6116	164	12	the	the	DET
cana-6116	164	13	necessary	necessary	ADJ
cana-6116	164	14	and	and	CCONJ
cana-6116	164	15	sufficient	sufficient	ADJ
cana-6116	164	16	conditions	condition	NOUN
cana-6116	164	17	for	for	ADP
cana-6116	164	18	local	local	ADJ
cana-6116	164	19	stability	stability	NOUN
cana-6116	164	20	of	of	ADP
cana-6116	164	21	co	co	ADJ
cana-6116	164	22	-	-	ADJ
cana-6116	164	23	existent	existent	ADJ
cana-6116	164	24	points	point	NOUN
cana-6116	164	25	are	be	AUX
cana-6116	164	26	(	(	PUNCT
cana-6116	164	27	)	)	SYM
cana-6116	164	28	1	1	NUM
cana-6116	164	29	3	3	NUM
cana-6116	164	30	3	3	NUM
cana-6116	164	31	1	1	NUM
cana-6116	164	32	2	2	NUM
cana-6116	164	33	30	30	NUM
cana-6116	164	34	,	,	PUNCT
cana-6116	164	35	0	0	NUM
cana-6116	164	36	and	and	CCONJ
cana-6116	164	37	0b	0b	PROPN
cana-6116	165	1	b	b	PROPN
cana-6116	165	2	b	b	X
cana-6116	165	3	bb	bb	INTJ
cana-6116	165	4	b	b	PROPN
cana-6116	165	5			PROPN
cana-6116	165	6	−	−	PROPN
cana-6116	166	1			VERB
cana-6116	166	2	it	it	PRON
cana-6116	166	3	is	be	AUX
cana-6116	166	4	evident	evident	ADJ
cana-6116	166	5	that	that	SCONJ
cana-6116	166	6	,	,	PUNCT
cana-6116	166	7	11	11	NUM
cana-6116	166	8	1	1	NUM
cana-6116	166	9	1	1	NUM
cana-6116	166	10	3	3	NUM
cana-6116	166	11	33	33	NUM
cana-6116	166	12	21	21	NUM
cana-6116	166	13	2	2	NUM
cana-6116	166	14	33	33	NUM
cana-6116	166	15	310	310	NUM
cana-6116	166	16	,	,	PUNCT
cana-6116	166	17	when	when	SCONJ
cana-6116	166	18	a	a	DET
cana-6116	166	19	b	b	NOUN
cana-6116	166	20	a	a	DET
cana-6116	166	21	a	a	DET
cana-6116	166	22	a	a	DET
cana-6116	166	23	a	a	DET
cana-6116	166	24	a	a	DET
cana-6116	166	25	a	a	DET
cana-6116	166	26			NOUN
cana-6116	166	27			NOUN
cana-6116	166	28			NOUN
cana-6116	166	29			NOUN
cana-6116	166	30			INTJ
cana-6116	166	31			PROPN
cana-6116	167	1	+	+	ADV
cana-6116	167	2			PROPN
cana-6116	167	3			CCONJ
cana-6116	167	4			ADJ
cana-6116	167	5			NOUN
cana-6116	167	6	2	2	NUM
cana-6116	167	7	221	221	NUM
cana-6116	167	8	23	23	NUM
cana-6116	167	9	31	31	NUM
cana-6116	167	10	3	3	NUM
cana-6116	167	11	2	2	NUM
cana-6116	167	12	23	23	NUM
cana-6116	167	13	31	31	NUM
cana-6116	167	14	3	3	NUM
cana-6116	167	15	2	2	NUM
cana-6116	167	16	21	21	NUM
cana-6116	167	17	33	33	NUM
cana-6116	167	18	31	31	NUM
cana-6116	167	19	21	21	NUM
cana-6116	167	20	3	3	NUM
cana-6116	167	21	330	330	NUM
cana-6116	167	22	,	,	PUNCT
cana-6116	167	23	when	when	SCONJ
cana-6116	167	24	a	a	DET
cana-6116	167	25	a	a	DET
cana-6116	167	26	a	a	DET
cana-6116	167	27	a	a	DET
cana-6116	167	28	a	a	DET
cana-6116	167	29	a	a	DET
cana-6116	167	30	a	a	DET
cana-6116	167	31	b	b	NOUN
cana-6116	167	32	a	a	DET
cana-6116	167	33	a	a	DET
cana-6116	167	34	a	a	DET
cana-6116	167	35	a	a	DET
cana-6116	167	36	a	a	DET
cana-6116	167	37	a	a	DET
cana-6116	167	38	a	a	DET
cana-6116	167	39			NOUN
cana-6116	167	40			NOUN
cana-6116	167	41			NOUN
cana-6116	167	42			PROPN
cana-6116	167	43			PROPN
cana-6116	167	44			VERB
cana-6116	167	45	+	+	CCONJ
cana-6116	167	46			PROPN
cana-6116	168	1	+	+	ADJ
cana-6116	168	2			PROPN
cana-6116	168	3			NOUN
cana-6116	169	1			PROPN
cana-6116	170	1			ADJ
cana-6116	170	2			PROPN
cana-6116	170	3			PROPN
cana-6116	170	4			NOUN
cana-6116	170	5	(	(	PUNCT
cana-6116	170	6	)	)	PUNCT
cana-6116	170	7	2	2	NUM
cana-6116	170	8	2	2	NUM
cana-6116	170	9	22	22	NUM
cana-6116	170	10	23	23	NUM
cana-6116	170	11	31	31	NUM
cana-6116	170	12	3	3	NUM
cana-6116	170	13	21	21	NUM
cana-6116	170	14	23	23	NUM
cana-6116	170	15	1	1	NUM
cana-6116	170	16	2	2	NUM
cana-6116	170	17	3	3	NUM
cana-6116	170	18	2	2	NUM
cana-6116	170	19	21	21	NUM
cana-6116	170	20	33	33	NUM
cana-6116	170	21	21	21	NUM
cana-6116	170	22	3	3	NUM
cana-6116	170	23	330	330	NUM
cana-6116	170	24	,	,	PUNCT
cana-6116	170	25	when	when	SCONJ
cana-6116	170	26	2	2	NUM
cana-6116	170	27	a	a	DET
cana-6116	170	28	a	a	DET
cana-6116	170	29	a	a	DET
cana-6116	170	30	a	a	DET
cana-6116	170	31	a	a	DET
cana-6116	170	32	a	a	DET
cana-6116	170	33	bb	bb	NOUN
cana-6116	170	34	b	b	NOUN
cana-6116	170	35	a	a	DET
cana-6116	170	36	a	a	DET
cana-6116	170	37	a	a	DET
cana-6116	170	38	a	a	DET
cana-6116	170	39	a	a	DET
cana-6116	170	40	a	a	DET
cana-6116	170	41			NOUN
cana-6116	170	42			NOUN
cana-6116	170	43			NOUN
cana-6116	170	44			NOUN
cana-6116	170	45			NOUN
cana-6116	170	46			PROPN
cana-6116	171	1	−	−	PROPN
cana-6116	172	1			VERB
cana-6116	172	2	+	+	CCONJ
cana-6116	172	3			PROPN
cana-6116	173	1	+	+	ADV
cana-6116	173	2			PROPN
cana-6116	173	3			PROPN
cana-6116	174	1			PROPN
cana-6116	174	2			PROPN
cana-6116	175	1			PROPN
cana-6116	175	2			NOUN
cana-6116	175	3			NOUN
cana-6116	175	4	i.e.	i.e.	X
cana-6116	175	5	,	,	PUNCT
cana-6116	175	6	(	(	PUNCT
cana-6116	175	7	)	)	SYM
cana-6116	175	8	1	1	NUM
cana-6116	175	9	3	3	NUM
cana-6116	175	10	3	3	NUM
cana-6116	175	11	1	1	NUM
cana-6116	175	12	2	2	NUM
cana-6116	175	13	30	30	NUM
cana-6116	175	14	,	,	PUNCT
cana-6116	175	15	0	0	NUM
cana-6116	175	16	and	and	CCONJ
cana-6116	175	17	0b	0b	PROPN
cana-6116	176	1	b	b	PROPN
cana-6116	176	2	b	b	X
cana-6116	176	3	bb	bb	INTJ
cana-6116	176	4	b	b	PROPN
cana-6116	176	5			PROPN
cana-6116	176	6	−	−	PROPN
cana-6116	176	7			VERB
cana-6116	176	8	hence	hence	ADV
cana-6116	176	9	,	,	PUNCT
cana-6116	176	10	the	the	DET
cana-6116	176	11	co	co	ADJ
cana-6116	176	12	-	-	ADJ
cana-6116	176	13	existent	existent	ADJ
cana-6116	176	14	state	state	NOUN
cana-6116	176	15	is	be	AUX
cana-6116	176	16	locally	locally	ADV
cana-6116	176	17	asymptotically	asymptotically	ADV
cana-6116	176	18	stable	stable	ADJ
cana-6116	176	19	.	.	PUNCT
cana-6116	177	1	let	let	VERB
cana-6116	177	2	1	1	NUM
cana-6116	177	3	2	2	NUM
cana-6116	177	4	3	3	NUM
cana-6116	177	5	,	,	PUNCT
cana-6116	177	6	,	,	PUNCT
cana-6116	177	7			X
cana-6116	177	8			ADJ
cana-6116	177	9			ADJ
cana-6116	177	10	be	be	VERB
cana-6116	177	11	three	three	NUM
cana-6116	177	12	roots	root	NOUN
cana-6116	177	13	of	of	ADP
cana-6116	177	14	(	(	PUNCT
cana-6116	177	15	15	15	NUM
cana-6116	177	16	)	)	PUNCT
cana-6116	177	17	.	.	PUNCT
cana-6116	178	1	the	the	DET
cana-6116	178	2	solution	solution	NOUN
cana-6116	178	3	of	of	ADP
cana-6116	178	4	the	the	DET
cana-6116	178	5	perturbation	perturbation	NOUN
cana-6116	178	6	equations	equation	NOUN
cana-6116	178	7	is	be	AUX
cana-6116	178	8	31	31	NUM
cana-6116	178	9	2	2	NUM
cana-6116	178	10	1	1	NUM
cana-6116	178	11	10	10	NUM
cana-6116	178	12	20	20	NUM
cana-6116	178	13	30b	30b	NOUN
cana-6116	178	14	b	b	X
cana-6116	178	15	b	b	X
cana-6116	178	16	tt	tt	PROPN
cana-6116	178	17	t	t	X
cana-6116	178	18	u	u	X
cana-6116	178	19	e	e	X
cana-6116	178	20	e	e	X
cana-6116	178	21	e	e	NOUN
cana-6116	178	22			VERB
cana-6116	178	23			ADJ
cana-6116	179	1	=	=	PUNCT
cana-6116	180	1	+	+	PUNCT
cana-6116	180	2	+	+	NUM
cana-6116	180	3	31	31	NUM
cana-6116	180	4	2	2	NUM
cana-6116	180	5	2	2	NUM
cana-6116	180	6	2	2	NUM
cana-6116	180	7	10	10	NUM
cana-6116	180	8	2	2	NUM
cana-6116	180	9	20	20	NUM
cana-6116	180	10	2	2	NUM
cana-6116	180	11	30b	30b	NOUN
cana-6116	180	12	b	b	NOUN
cana-6116	180	13	b	b	X
cana-6116	180	14	tt	tt	PROPN
cana-6116	180	15	t	t	PROPN
cana-6116	180	16	u	u	X
cana-6116	180	17	x	x	X
cana-6116	180	18	e	e	X
cana-6116	180	19	y	y	PROPN
cana-6116	180	20	e	e	PROPN
cana-6116	180	21	z	z	X
cana-6116	180	22	e	e	NOUN
cana-6116	180	23			NOUN
cana-6116	180	24			ADJ
cana-6116	180	25	=	=	PUNCT
cana-6116	181	1	+	+	PUNCT
cana-6116	181	2	+	+	NUM
cana-6116	181	3	31	31	NUM
cana-6116	181	4	2	2	NUM
cana-6116	181	5	3	3	NUM
cana-6116	181	6	3	3	NUM
cana-6116	181	7	10	10	NUM
cana-6116	181	8	3	3	NUM
cana-6116	181	9	20	20	NUM
cana-6116	181	10	3	3	NUM
cana-6116	181	11	30b	30b	NOUN
cana-6116	181	12	b	b	X
cana-6116	181	13	b	b	X
cana-6116	181	14	tt	tt	PROPN
cana-6116	181	15	t	t	PROPN
cana-6116	181	16	u	u	X
cana-6116	181	17	x	x	X
cana-6116	181	18	e	e	X
cana-6116	181	19	y	y	PROPN
cana-6116	181	20	e	e	PROPN
cana-6116	181	21	z	z	X
cana-6116	181	22	e	e	NOUN
cana-6116	181	23			NOUN
cana-6116	181	24			ADJ
cana-6116	181	25	=	=	PUNCT
cana-6116	181	26	+	+	X
cana-6116	181	27	+	+	CCONJ
cana-6116	181	28	(	(	PUNCT
cana-6116	181	29	15	15	NUM
cana-6116	181	30	)	)	PUNCT
cana-6116	182	1	where	where	SCONJ
cana-6116	182	2	(	(	PUNCT
cana-6116	182	3	)	)	PUNCT
cana-6116	182	4	(	(	PUNCT
cana-6116	182	5	)	)	PUNCT
cana-6116	182	6	(	(	PUNCT
cana-6116	182	7	)	)	PUNCT
cana-6116	182	8	(	(	PUNCT
cana-6116	182	9	)	)	PUNCT
cana-6116	182	10	10	10	NUM
cana-6116	182	11	2	2	NUM
cana-6116	182	12	3	3	NUM
cana-6116	182	13	20	20	NUM
cana-6116	182	14	3	3	NUM
cana-6116	182	15	30	30	NUM
cana-6116	182	16	2	2	NUM
cana-6116	182	17	10	10	NUM
cana-6116	182	18	3	3	NUM
cana-6116	182	19	2	2	NUM
cana-6116	182	20	20	20	NUM
cana-6116	182	21	3	3	NUM
cana-6116	182	22	30	30	NUM
cana-6116	182	23	2	2	NUM
cana-6116	182	24	10	10	NUM
cana-6116	182	25	2	2	NUM
cana-6116	182	26	3	3	NUM
cana-6116	182	27	2	2	NUM
cana-6116	182	28	3	3	NUM
cana-6116	182	29	3	3	NUM
cana-6116	182	30	2	2	NUM
cana-6116	182	31	3	3	NUM
cana-6116	182	32	2	2	NUM
cana-6116	182	33	2	2	NUM
cana-6116	182	34	3	3	NUM
cana-6116	182	35	3	3	NUM
cana-6116	182	36	2	2	NUM
cana-6116	182	37	b	b	NOUN
cana-6116	182	38	x	x	NOUN
cana-6116	182	39	x	x	SYM
cana-6116	182	40	x	x	PUNCT
cana-6116	182	41	x	x	PUNCT
cana-6116	182	42	u	u	NOUN
cana-6116	182	43	y	y	PROPN
cana-6116	182	44	z	z	PROPN
cana-6116	182	45	u	u	PROPN
cana-6116	182	46	y	y	PROPN
cana-6116	182	47	u	u	NOUN
cana-6116	182	48	z	z	PROPN
cana-6116	182	49	u	u	X
cana-6116	182	50	y	y	PROPN
cana-6116	182	51	z	z	PROPN
cana-6116	182	52	u	u	PROPN
cana-6116	182	53	z	z	PROPN
cana-6116	182	54	u	u	NOUN
cana-6116	182	55	y	y	PROPN
cana-6116	182	56	y	y	PROPN
cana-6116	182	57	z	z	PROPN
cana-6116	182	58	y	y	PROPN
cana-6116	182	59	z	z	VERB
cana-6116	182	60	y	y	PROPN
cana-6116	182	61	z	z	NOUN
cana-6116	182	62	z	z	NOUN
cana-6116	182	63	y	y	PROPN
cana-6116	183	1	+	+	PROPN
cana-6116	184	1	+	+	CCONJ
cana-6116	184	2	−	−	X
cana-6116	185	1	+	+	CCONJ
cana-6116	185	2	+	+	PUNCT
cana-6116	185	3	=	=	SYM
cana-6116	186	1	+	+	PUNCT
cana-6116	187	1	+	+	CCONJ
cana-6116	187	2	−	−	X
cana-6116	188	1	+	+	CCONJ
cana-6116	188	2	+	+	CCONJ
cana-6116	188	3	(	(	PUNCT
cana-6116	188	4	)	)	PUNCT
cana-6116	188	5	(	(	PUNCT
cana-6116	188	6	)	)	PUNCT
cana-6116	188	7	(	(	PUNCT
cana-6116	188	8	)	)	PUNCT
cana-6116	188	9	(	(	PUNCT
cana-6116	188	10	)	)	PUNCT
cana-6116	188	11	10	10	NUM
cana-6116	188	12	3	3	NUM
cana-6116	188	13	2	2	NUM
cana-6116	188	14	20	20	NUM
cana-6116	188	15	3	3	NUM
cana-6116	188	16	30	30	NUM
cana-6116	188	17	2	2	NUM
cana-6116	188	18	10	10	NUM
cana-6116	188	19	2	2	NUM
cana-6116	188	20	3	3	NUM
cana-6116	188	21	20	20	NUM
cana-6116	188	22	3	3	NUM
cana-6116	188	23	30	30	NUM
cana-6116	188	24	2	2	NUM
cana-6116	188	25	20	20	NUM
cana-6116	188	26	2	2	NUM
cana-6116	188	27	3	3	NUM
cana-6116	188	28	2	2	NUM
cana-6116	188	29	3	3	NUM
cana-6116	188	30	3	3	NUM
cana-6116	188	31	2	2	NUM
cana-6116	188	32	3	3	NUM
cana-6116	188	33	2	2	NUM
cana-6116	188	34	2	2	NUM
cana-6116	188	35	3	3	NUM
cana-6116	188	36	3	3	NUM
cana-6116	188	37	2	2	NUM
cana-6116	188	38	x	x	SYM
cana-6116	188	39	x	x	SYM
cana-6116	188	40	x	x	PUNCT
cana-6116	188	41	x	x	SYM
cana-6116	188	42	b	b	X
cana-6116	188	43	x	x	SYM
cana-6116	188	44	x	x	SYM
cana-6116	188	45	x	x	SYM
cana-6116	188	46	x	x	PUNCT
cana-6116	188	47	u	u	NOUN
cana-6116	188	48	z	z	PROPN
cana-6116	188	49	u	u	NOUN
cana-6116	188	50	z	z	PROPN
cana-6116	188	51	u	u	NOUN
cana-6116	188	52	u	u	NOUN
cana-6116	188	53	z	z	PROPN
cana-6116	188	54	u	u	NOUN
cana-6116	188	55	u	u	NOUN
cana-6116	188	56	z	z	PROPN
cana-6116	188	57	y	y	PROPN
cana-6116	188	58	z	z	PROPN
cana-6116	188	59	y	y	PROPN
cana-6116	188	60	z	z	VERB
cana-6116	188	61	y	y	PROPN
cana-6116	188	62	z	z	NOUN
cana-6116	188	63	z	z	NOUN
cana-6116	188	64	y	y	PROPN
cana-6116	189	1	+	+	PROPN
cana-6116	190	1	+	+	CCONJ
cana-6116	190	2	−	−	X
cana-6116	191	1	+	+	CCONJ
cana-6116	191	2	+	+	PUNCT
cana-6116	191	3	=	=	SYM
cana-6116	192	1	+	+	PUNCT
cana-6116	193	1	+	+	CCONJ
cana-6116	193	2	−	−	X
cana-6116	194	1	+	+	CCONJ
cana-6116	194	2	+	+	CCONJ
cana-6116	194	3	(	(	PUNCT
cana-6116	194	4	)	)	PUNCT
cana-6116	194	5	(	(	PUNCT
cana-6116	194	6	)	)	PUNCT
cana-6116	194	7	(	(	PUNCT
cana-6116	194	8	)	)	PUNCT
cana-6116	194	9	(	(	PUNCT
cana-6116	194	10	)	)	PUNCT
cana-6116	194	11	10	10	NUM
cana-6116	194	12	2	2	NUM
cana-6116	194	13	3	3	NUM
cana-6116	194	14	20	20	NUM
cana-6116	194	15	3	3	NUM
cana-6116	194	16	30	30	NUM
cana-6116	194	17	2	2	NUM
cana-6116	194	18	10	10	NUM
cana-6116	194	19	3	3	NUM
cana-6116	194	20	2	2	NUM
cana-6116	194	21	20	20	NUM
cana-6116	194	22	3	3	NUM
cana-6116	194	23	30	30	NUM
cana-6116	194	24	2	2	NUM
cana-6116	194	25	30	30	NUM
cana-6116	194	26	2	2	NUM
cana-6116	194	27	3	3	NUM
cana-6116	194	28	2	2	NUM
cana-6116	194	29	3	3	NUM
cana-6116	194	30	3	3	NUM
cana-6116	194	31	2	2	NUM
cana-6116	194	32	3	3	NUM
cana-6116	194	33	2	2	NUM
cana-6116	194	34	2	2	NUM
cana-6116	194	35	3	3	NUM
cana-6116	194	36	3	3	NUM
cana-6116	194	37	2	2	NUM
cana-6116	194	38	x	x	SYM
cana-6116	194	39	x	x	SYM
cana-6116	194	40	x	x	PUNCT
cana-6116	194	41	x	x	SYM
cana-6116	194	42	b	b	X
cana-6116	194	43	x	x	SYM
cana-6116	194	44	x	x	SYM
cana-6116	194	45	x	x	SYM
cana-6116	194	46	x	x	PUNCT
cana-6116	194	47	u	u	NOUN
cana-6116	194	48	y	y	PROPN
cana-6116	194	49	u	u	X
cana-6116	194	50	u	u	NOUN
cana-6116	194	51	y	y	PROPN
cana-6116	194	52	u	u	X
cana-6116	194	53	y	y	PROPN
cana-6116	194	54	u	u	X
cana-6116	194	55	y	y	PROPN
cana-6116	194	56	u	u	X
cana-6116	194	57	y	y	PROPN
cana-6116	194	58	z	z	PROPN
cana-6116	194	59	y	y	PROPN
cana-6116	194	60	z	z	VERB
cana-6116	194	61	y	y	PROPN
cana-6116	194	62	z	z	NOUN
cana-6116	194	63	z	z	NOUN
cana-6116	194	64	y	y	PROPN
cana-6116	195	1	+	+	PROPN
cana-6116	196	1	+	+	CCONJ
cana-6116	196	2	−	−	X
cana-6116	197	1	+	+	CCONJ
cana-6116	197	2	+	+	PUNCT
cana-6116	197	3	=	=	SYM
cana-6116	198	1	+	+	PUNCT
cana-6116	199	1	+	+	CCONJ
cana-6116	199	2	−	−	X
cana-6116	200	1	+	+	CCONJ
cana-6116	200	2	+	+	NUM
cana-6116	200	3	11	11	NUM
cana-6116	200	4	1	1	NUM
cana-6116	200	5	311	311	NUM
cana-6116	200	6	1	1	NUM
cana-6116	200	7	1	1	NUM
cana-6116	200	8	11	11	NUM
cana-6116	200	9	1	1	NUM
cana-6116	200	10	2	2	NUM
cana-6116	200	11	2	2	NUM
cana-6116	200	12	2	2	NUM
cana-6116	200	13	2	2	NUM
cana-6116	200	14	12	12	NUM
cana-6116	200	15	1	1	NUM
cana-6116	200	16	12	12	NUM
cana-6116	200	17	1	1	NUM
cana-6116	200	18	12	12	NUM
cana-6116	200	19	1	1	NUM
cana-6116	200	20	,	,	PUNCT
cana-6116	200	21	,	,	PUNCT
cana-6116	200	22	aa	aa	INTJ
cana-6116	200	23	a	a	X
cana-6116	200	24	x	x	X
cana-6116	200	25	y	y	PROPN
cana-6116	200	26	z	z	PROPN
cana-6116	200	27	a	a	PRON
cana-6116	200	28	a	a	DET
cana-6116	200	29	a	a	DET
cana-6116	200	30			X
cana-6116	200	31			NOUN
cana-6116	200	32			NUM
cana-6116	200	33			NOUN
cana-6116	200	34			NUM
cana-6116	200	35			NOUN
cana-6116	200	36			X
cana-6116	200	37			X
cana-6116	200	38	−−	−−	NOUN
cana-6116	200	39	−	−	NOUN
cana-6116	200	40	=	=	SYM
cana-6116	201	1	=	=	PUNCT
cana-6116	201	2	=	=	PUNCT
cana-6116	201	3	(	(	PUNCT
cana-6116	201	4	)	)	PUNCT
cana-6116	201	5	(	(	PUNCT
cana-6116	201	6	)	)	PUNCT
cana-6116	201	7	(	(	PUNCT
cana-6116	201	8	)	)	PUNCT
cana-6116	201	9	(	(	PUNCT
cana-6116	201	10	)	)	PUNCT
cana-6116	201	11	1	1	NUM
cana-6116	201	12	11	11	NUM
cana-6116	201	13	1	1	NUM
cana-6116	201	14	1	1	NUM
cana-6116	201	15	2	2	NUM
cana-6116	201	16	11	11	NUM
cana-6116	201	17	1	1	NUM
cana-6116	201	18	221	221	NUM
cana-6116	201	19	21	21	NUM
cana-6116	201	20	3	3	NUM
cana-6116	201	21	3	3	NUM
cana-6116	201	22	11	11	NUM
cana-6116	201	23	23	23	NUM
cana-6116	201	24	1	1	NUM
cana-6116	201	25	1	1	NUM
cana-6116	201	26	11	11	NUM
cana-6116	201	27	1	1	NUM
cana-6116	201	28	23	23	NUM
cana-6116	201	29	11	11	NUM
cana-6116	201	30	23	23	NUM
cana-6116	201	31	1	1	NUM
cana-6116	201	32	1	1	NUM
cana-6116	201	33	11	11	NUM
cana-6116	201	34	1	1	NUM
cana-6116	201	35	23	23	NUM
cana-6116	201	36	,	,	PUNCT
cana-6116	201	37	y	y	PROPN
cana-6116	201	38	a	a	DET
cana-6116	201	39	aa	aa	NOUN
cana-6116	201	40	a	a	DET
cana-6116	201	41	x	x	NOUN
cana-6116	201	42	a	a	DET
cana-6116	201	43	a	a	DET
cana-6116	201	44	a	a	DET
cana-6116	201	45	a	a	DET
cana-6116	201	46	a	a	DET
cana-6116	201	47	a	a	DET
cana-6116	201	48	a	a	DET
cana-6116	201	49	a	a	DET
cana-6116	201	50	a	a	DET
cana-6116	201	51	a	a	DET
cana-6116	201	52			NUM
cana-6116	201	53			NOUN
cana-6116	201	54			NOUN
cana-6116	201	55			NUM
cana-6116	201	56			NOUN
cana-6116	201	57			NUM
cana-6116	201	58			NOUN
cana-6116	201	59			X
cana-6116	201	60			X
cana-6116	201	61			X
cana-6116	201	62			X
cana-6116	201	63			X
cana-6116	201	64	−	−	PROPN
cana-6116	201	65	−	−	PROPN
cana-6116	201	66	=	=	SYM
cana-6116	202	1	−	−	PROPN
cana-6116	202	2	=	=	PUNCT
cana-6116	203	1	−	−	PROPN
cana-6116	204	1	+	+	CCONJ
cana-6116	204	2	+	+	NUM
cana-6116	204	3	communications	communication	NOUN
cana-6116	204	4	on	on	ADP
cana-6116	204	5	applied	apply	VERB
cana-6116	204	6	nonlinear	nonlinear	ADJ
cana-6116	204	7	analysis	analysis	NOUN
cana-6116	204	8	issn	issn	NOUN
cana-6116	204	9	:	:	PUNCT
cana-6116	204	10	1074	1074	NUM
cana-6116	204	11	-	-	PUNCT
cana-6116	204	12	133x	133x	NUM
cana-6116	204	13	vol	vol	VERB
cana-6116	204	14	32	32	NUM
cana-6116	204	15	no	no	NOUN
cana-6116	204	16	.	.	PUNCT
cana-6116	205	1	10s	10	NOUN
cana-6116	205	2	(	(	PUNCT
cana-6116	205	3	2025	2025	NUM
cana-6116	205	4	)	)	PUNCT
cana-6116	205	5	3421	3421	NUM
cana-6116	205	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	205	7	(	(	PUNCT
cana-6116	205	8	)	)	PUNCT
cana-6116	205	9	(	(	PUNCT
cana-6116	205	10	)	)	PUNCT
cana-6116	205	11	3	3	NUM
cana-6116	205	12	11	11	NUM
cana-6116	205	13	1	1	NUM
cana-6116	205	14	3	3	NUM
cana-6116	205	15	21	21	NUM
cana-6116	205	16	3	3	NUM
cana-6116	205	17	11	11	NUM
cana-6116	205	18	23	23	NUM
cana-6116	205	19	1	1	NUM
cana-6116	205	20	1	1	NUM
cana-6116	205	21	11	11	NUM
cana-6116	205	22	1	1	NUM
cana-6116	205	23	23	23	NUM
cana-6116	205	24	z	z	NOUN
cana-6116	205	25	a	a	DET
cana-6116	205	26	a	a	DET
cana-6116	205	27	a	a	DET
cana-6116	205	28	a	a	DET
cana-6116	205	29	a	a	DET
cana-6116	205	30	a	a	DET
cana-6116	205	31	a	a	DET
cana-6116	205	32			NUM
cana-6116	205	33			NOUN
cana-6116	205	34			NUM
cana-6116	205	35			NOUN
cana-6116	205	36			X
cana-6116	205	37			X
cana-6116	205	38	−	−	NOUN
cana-6116	205	39	=	=	SYM
cana-6116	205	40	−	−	PROPN
cana-6116	206	1	+	+	NOUN
cana-6116	206	2	5	5	X
cana-6116	206	3	.	.	X
cana-6116	207	1	lyapunov	lyapunov	PROPN
cana-6116	207	2	’s	’s	PART
cana-6116	207	3	function	function	NOUN
cana-6116	207	4	for	for	ADP
cana-6116	207	5	global	global	ADJ
cana-6116	207	6	stability	stability	NOUN
cana-6116	207	7	:	:	PUNCT
cana-6116	207	8	in	in	ADP
cana-6116	207	9	section	section	NOUN
cana-6116	207	10	4	4	NUM
cana-6116	207	11	,	,	PUNCT
cana-6116	207	12	we	we	PRON
cana-6116	207	13	discussed	discuss	VERB
cana-6116	207	14	the	the	DET
cana-6116	207	15	local	local	ADJ
cana-6116	207	16	stability	stability	NOUN
cana-6116	207	17	of	of	ADP
cana-6116	207	18	all	all	DET
cana-6116	207	19	six	six	NUM
cana-6116	207	20	equilibrium	equilibrium	NOUN
cana-6116	207	21	states	state	NOUN
cana-6116	207	22	.	.	PUNCT
cana-6116	208	1	from	from	ADP
cana-6116	208	2	which	which	PRON
cana-6116	208	3	only	only	ADV
cana-6116	208	4	the	the	DET
cana-6116	208	5	normal	normal	ADJ
cana-6116	208	6	steady	steady	ADJ
cana-6116	208	7	state	state	NOUN
cana-6116	208	8	is	be	AUX
cana-6116	208	9	stable	stable	ADJ
cana-6116	208	10	and	and	CCONJ
cana-6116	208	11	rest	rest	NOUN
cana-6116	208	12	of	of	ADP
cana-6116	208	13	them	they	PRON
cana-6116	208	14	are	be	AUX
cana-6116	208	15	unstable	unstable	ADJ
cana-6116	208	16	.	.	PUNCT
cana-6116	209	1	we	we	PRON
cana-6116	209	2	now	now	ADV
cana-6116	209	3	examine	examine	VERB
cana-6116	209	4	the	the	DET
cana-6116	209	5	global	global	ADJ
cana-6116	209	6	stability	stability	NOUN
cana-6116	209	7	of	of	ADP
cana-6116	209	8	dynamical	dynamical	ADJ
cana-6116	209	9	system	system	NOUN
cana-6116	209	10	(	(	PUNCT
cana-6116	209	11	1	1	NUM
cana-6116	209	12	)	)	PUNCT
cana-6116	209	13	,	,	PUNCT
cana-6116	209	14	(	(	PUNCT
cana-6116	209	15	2	2	X
cana-6116	209	16	)	)	PUNCT
cana-6116	209	17	&	&	CCONJ
cana-6116	209	18	(	(	PUNCT
cana-6116	209	19	3	3	X
cana-6116	209	20	)	)	PUNCT
cana-6116	209	21	at	at	ADP
cana-6116	209	22	this	this	DET
cana-6116	209	23	state	state	NOUN
cana-6116	209	24	by	by	ADP
cana-6116	209	25	suitable	suitable	ADJ
cana-6116	209	26	liapunov	liapunov	PROPN
cana-6116	209	27	’s	’s	PART
cana-6116	209	28	function	function	NOUN
cana-6116	209	29	.	.	PUNCT
cana-6116	210	1	theorem	theorem	VERB
cana-6116	210	2	:	:	PUNCT
cana-6116	210	3	the	the	DET
cana-6116	210	4	normal	normal	ADJ
cana-6116	210	5	steady	steady	ADJ
cana-6116	210	6	state	state	NOUN
cana-6116	210	7	is	be	AUX
cana-6116	210	8	globally	globally	ADV
cana-6116	210	9	asymptotically	asymptotically	ADV
cana-6116	210	10	stable	stable	ADJ
cana-6116	210	11	.	.	PUNCT
cana-6116	211	1	proof	proof	NOUN
cana-6116	211	2	:	:	PUNCT
cana-6116	211	3	let	let	VERB
cana-6116	211	4	us	we	PRON
cana-6116	211	5	consider	consider	VERB
cana-6116	211	6	the	the	DET
cana-6116	211	7	following	follow	VERB
cana-6116	211	8	liapunov	liapunov	NOUN
cana-6116	211	9	’s	’s	PART
cana-6116	211	10	function	function	NOUN
cana-6116	211	11	(	(	PUNCT
cana-6116	211	12	)	)	PUNCT
cana-6116	212	1	1	1	NUM
cana-6116	212	2	2	2	NUM
cana-6116	212	3	1	1	NUM
cana-6116	212	4	2	2	NUM
cana-6116	212	5	3	3	NUM
cana-6116	212	6	1	1	NUM
cana-6116	212	7	1	1	NUM
cana-6116	212	8	1	1	NUM
cana-6116	212	9	1	1	NUM
cana-6116	212	10	2	2	NUM
cana-6116	212	11	2	2	NUM
cana-6116	212	12	2	2	NUM
cana-6116	212	13	1	1	NUM
cana-6116	212	14	2	2	NUM
cana-6116	212	15	3	3	NUM
cana-6116	212	16	2	2	NUM
cana-6116	212	17	3	3	NUM
cana-6116	212	18	3	3	NUM
cana-6116	212	19	3	3	NUM
cana-6116	212	20	3	3	NUM
cana-6116	212	21	l	l	NOUN
cana-6116	212	22	,	,	PUNCT
cana-6116	212	23	,	,	PUNCT
cana-6116	212	24	ln	ln	PROPN
cana-6116	212	25	ln	ln	PROPN
cana-6116	212	26	ln	ln	ADP
cana-6116	212	27	n	n	CCONJ
cana-6116	212	28	n	n	CCONJ
cana-6116	212	29	n	n	CCONJ
cana-6116	212	30	n	n	CCONJ
cana-6116	212	31	n	n	CCONJ
cana-6116	212	32	n	n	CCONJ
cana-6116	212	33	n	n	CCONJ
cana-6116	212	34	n	n	ADP
cana-6116	212	35	l	l	NOUN
cana-6116	212	36	n	n	CCONJ
cana-6116	212	37	n	n	CCONJ
cana-6116	212	38	n	n	CCONJ
cana-6116	212	39	n	n	CCONJ
cana-6116	212	40	n	n	CCONJ
cana-6116	212	41	n	n	ADP
cana-6116	212	42	l	l	NOUN
cana-6116	212	43	n	n	CCONJ
cana-6116	212	44	n	n	CCONJ
cana-6116	212	45	n	n	CCONJ
cana-6116	212	46	n	n	NOUN
cana-6116	212	47			PROPN
cana-6116	212	48			PROPN
cana-6116	212	49			PROPN
cana-6116	212	50			NOUN
cana-6116	212	51			NOUN
cana-6116	212	52	=	=	PUNCT
cana-6116	213	1	−	−	PROPN
cana-6116	213	2	−	−	PROPN
cana-6116	214	1	+	+	CCONJ
cana-6116	214	2	−	−	PROPN
cana-6116	215	1	−	−	PROPN
cana-6116	215	2			PROPN
cana-6116	215	3			NOUN
cana-6116	216	1			PROPN
cana-6116	217	1			PROPN
cana-6116	217	2			PROPN
cana-6116	218	1			ADJ
cana-6116	218	2			PROPN
cana-6116	218	3			PROPN
cana-6116	218	4			NOUN
cana-6116	218	5			VERB
cana-6116	218	6			PROPN
cana-6116	219	1			INTJ
cana-6116	220	1			PROPN
cana-6116	221	1			PROPN
cana-6116	221	2			PROPN
cana-6116	221	3			NUM
cana-6116	221	4	+	+	CCONJ
cana-6116	221	5	−	−	PROPN
cana-6116	221	6	−	−	ADV
cana-6116	221	7			VERB
cana-6116	222	1			PROPN
cana-6116	222	2			NUM
cana-6116	222	3			PROPN
cana-6116	222	4			PROPN
cana-6116	222	5			PROPN
cana-6116	222	6			PROPN
cana-6116	222	7	(	(	PUNCT
cana-6116	222	8	16	16	NUM
cana-6116	222	9	)	)	PUNCT
cana-6116	222	10	where	where	SCONJ
cana-6116	222	11	l1	l1	PROPN
cana-6116	222	12	&	&	CCONJ
cana-6116	222	13	l2	l2	PROPN
cana-6116	222	14	are	be	AUX
cana-6116	222	15	suitable	suitable	ADJ
cana-6116	222	16	positive	positive	ADJ
cana-6116	222	17	constants	constant	NOUN
cana-6116	222	18	to	to	PART
cana-6116	222	19	be	be	AUX
cana-6116	222	20	determined	determine	VERB
cana-6116	222	21	as	as	ADP
cana-6116	222	22	in	in	ADP
cana-6116	222	23	the	the	DET
cana-6116	222	24	subsequent	subsequent	ADJ
cana-6116	222	25	steps	step	NOUN
cana-6116	222	26	.	.	PUNCT
cana-6116	223	1	the	the	DET
cana-6116	223	2	line	line	NOUN
cana-6116	223	3	derivative	derivative	NOUN
cana-6116	223	4	of	of	ADP
cana-6116	223	5	l	l	NOUN
cana-6116	223	6	,	,	PUNCT
cana-6116	223	7	we	we	PRON
cana-6116	223	8	get	get	VERB
cana-6116	223	9	3	3	NUM
cana-6116	223	10	3	3	NUM
cana-6116	223	11	31	31	NUM
cana-6116	223	12	1	1	NUM
cana-6116	223	13	1	1	NUM
cana-6116	223	14	2	2	NUM
cana-6116	223	15	2	2	NUM
cana-6116	223	16	2	2	NUM
cana-6116	223	17	1	1	NUM
cana-6116	223	18	2	2	NUM
cana-6116	223	19	1	1	NUM
cana-6116	223	20	2	2	NUM
cana-6116	223	21	3	3	NUM
cana-6116	223	22	n	n	ADP
cana-6116	223	23	n	n	PRON
cana-6116	223	24	dnn	dnn	PROPN
cana-6116	223	25	n	n	CCONJ
cana-6116	223	26	dn	dn	PROPN
cana-6116	223	27	n	n	CCONJ
cana-6116	223	28	n	n	VERB
cana-6116	223	29	dndl	dndl	VERB
cana-6116	223	30	l	l	PROPN
cana-6116	223	31	l	l	NOUN
cana-6116	223	32	dt	dt	X
cana-6116	224	1	n	n	INTJ
cana-6116	224	2	dt	dt	NOUN
cana-6116	224	3	n	n	CCONJ
cana-6116	224	4	dt	dt	NOUN
cana-6116	224	5	n	n	CCONJ
cana-6116	224	6	dt	dt	PROPN
cana-6116	224	7			NOUN
cana-6116	224	8			PROPN
cana-6116	224	9			PROPN
cana-6116	224	10			NOUN
cana-6116	224	11			PROPN
cana-6116	224	12	−−	−−	NOUN
cana-6116	224	13	−	−	PROPN
cana-6116	224	14	=	=	PUNCT
cana-6116	225	1	+	+	PUNCT
cana-6116	225	2	+	+	CCONJ
cana-6116	225	3			PROPN
cana-6116	225	4			NOUN
cana-6116	226	1			PROPN
cana-6116	227	1			PROPN
cana-6116	227	2			PROPN
cana-6116	228	1			ADJ
cana-6116	228	2			PROPN
cana-6116	228	3			PROPN
cana-6116	228	4			NOUN
cana-6116	228	5			PROPN
cana-6116	228	6			NOUN
cana-6116	228	7	(	(	PUNCT
cana-6116	228	8	)	)	PUNCT
cana-6116	228	9	(	(	PUNCT
cana-6116	228	10	)	)	PUNCT
cana-6116	228	11	(	(	PUNCT
cana-6116	228	12	)	)	PUNCT
cana-6116	228	13	(	(	PUNCT
cana-6116	228	14	)	)	PUNCT
cana-6116	228	15	(	(	PUNCT
cana-6116	228	16	)	)	PUNCT
cana-6116	228	17	(	(	PUNCT
cana-6116	228	18	)	)	PUNCT
cana-6116	228	19	1	1	NUM
cana-6116	228	20	1	1	NUM
cana-6116	228	21	1	1	NUM
cana-6116	228	22	11	11	NUM
cana-6116	228	23	1	1	NUM
cana-6116	228	24	12	12	NUM
cana-6116	228	25	2	2	NUM
cana-6116	228	26	1	1	NUM
cana-6116	228	27	2	2	NUM
cana-6116	228	28	2	2	NUM
cana-6116	228	29	2	2	NUM
cana-6116	228	30	21	21	NUM
cana-6116	228	31	1	1	NUM
cana-6116	228	32	23	23	NUM
cana-6116	228	33	3	3	NUM
cana-6116	228	34	2	2	NUM
cana-6116	228	35	3	3	NUM
cana-6116	228	36	3	3	NUM
cana-6116	228	37	3	3	NUM
cana-6116	228	38	33	33	NUM
cana-6116	228	39	3	3	NUM
cana-6116	228	40	31	31	NUM
cana-6116	228	41	1n	1n	NUM
cana-6116	229	1	n	n	CCONJ
cana-6116	229	2	a	a	DET
cana-6116	229	3	a	a	DET
cana-6116	229	4	n	n	NOUN
cana-6116	229	5	a	a	PRON
cana-6116	229	6	n	n	NOUN
cana-6116	229	7	l	l	NOUN
cana-6116	229	8	n	n	CCONJ
cana-6116	229	9	n	n	ADV
cana-6116	229	10	a	a	DET
cana-6116	229	11	a	a	DET
cana-6116	229	12	n	n	NOUN
cana-6116	229	13	a	a	PRON
cana-6116	229	14	n	n	NOUN
cana-6116	229	15	l	l	NOUN
cana-6116	229	16	n	n	CCONJ
cana-6116	229	17	n	n	ADV
cana-6116	230	1	a	a	DET
cana-6116	230	2	a	a	DET
cana-6116	230	3	n	n	CCONJ
cana-6116	230	4	a	a	DET
cana-6116	230	5	n=	n=	ADJ
cana-6116	230	6	−	−	ADP
cana-6116	230	7	−	−	PROPN
cana-6116	231	1	+	+	CCONJ
cana-6116	232	1	+	+	CCONJ
cana-6116	232	2	−	−	X
cana-6116	233	1	+	+	SYM
cana-6116	233	2	+	+	PUNCT
cana-6116	234	1	+	+	NUM
cana-6116	234	2	−	−	ADP
cana-6116	234	3	−	−	NOUN
cana-6116	234	4	+	+	CCONJ
cana-6116	234	5	(	(	PUNCT
cana-6116	234	6	)	)	PUNCT
cana-6116	234	7	(	(	PUNCT
cana-6116	234	8	)	)	PUNCT
cana-6116	234	9	(	(	PUNCT
cana-6116	234	10	)	)	PUNCT
cana-6116	234	11	(	(	PUNCT
cana-6116	234	12	)	)	PUNCT
cana-6116	234	13	(	(	PUNCT
cana-6116	234	14	)	)	PUNCT
cana-6116	234	15	(	(	PUNCT
cana-6116	234	16	)	)	PUNCT
cana-6116	234	17	(	(	PUNCT
cana-6116	234	18	)	)	PUNCT
cana-6116	234	19	(	(	PUNCT
cana-6116	234	20	)	)	PUNCT
cana-6116	234	21	2	2	NUM
cana-6116	234	22	111	111	NUM
cana-6116	234	23	1	1	NUM
cana-6116	234	24	1	1	NUM
cana-6116	234	25	2	2	NUM
cana-6116	234	26	33	33	NUM
cana-6116	234	27	3	3	NUM
cana-6116	234	28	3	3	NUM
cana-6116	234	29	2	2	NUM
cana-6116	234	30	11	11	NUM
cana-6116	234	31	33	33	NUM
cana-6116	234	32	2	2	NUM
cana-6116	234	33	31	31	NUM
cana-6116	234	34	1	1	NUM
cana-6116	234	35	3	3	NUM
cana-6116	234	36	3	3	NUM
cana-6116	234	37	12	12	NUM
cana-6116	234	38	1	1	NUM
cana-6116	234	39	21	21	NUM
cana-6116	234	40	1	1	NUM
cana-6116	234	41	1	1	NUM
cana-6116	234	42	2	2	NUM
cana-6116	234	43	22a	22a	NUM
cana-6116	234	44	n	n	ADP
cana-6116	234	45	n	n	ADP
cana-6116	234	46	l	l	NOUN
cana-6116	234	47	a	a	X
cana-6116	234	48	n	n	CCONJ
cana-6116	234	49	n	n	PRON
cana-6116	234	50	l	l	NOUN
cana-6116	234	51	a	a	DET
cana-6116	234	52	a	a	PROPN
cana-6116	234	53	l	l	NOUN
cana-6116	234	54	a	a	DET
cana-6116	234	55	n	n	CCONJ
cana-6116	234	56	n	n	CCONJ
cana-6116	234	57	n	n	CCONJ
cana-6116	234	58	n	n	ADV
cana-6116	234	59	a	a	DET
cana-6116	234	60	l	l	NOUN
cana-6116	234	61	a	a	PRON
cana-6116	234	62	n	n	CCONJ
cana-6116	234	63	n	n	CCONJ
cana-6116	234	64	n	n	PROPN
cana-6116	234	65	n	n	NOUN
cana-6116	234	66	=	=	PROPN
cana-6116	234	67	−	−	PROPN
cana-6116	234	68	−	−	PROPN
cana-6116	235	1	+	+	CCONJ
cana-6116	235	2	−	−	PROPN
cana-6116	236	1	+	+	CCONJ
cana-6116	237	1	+	+	NUM
cana-6116	237	2	−	−	ADP
cana-6116	237	3	−	−	PROPN
cana-6116	238	1	+	+	CCONJ
cana-6116	238	2	−	−	PROPN
cana-6116	239	1	−	−	NOUN
cana-6116	239	2	−	−	NOUN
cana-6116	239	3			PROPN
cana-6116	239	4			PROPN
cana-6116	239	5	(	(	PUNCT
cana-6116	239	6	17	17	NUM
cana-6116	239	7	)	)	PUNCT
cana-6116	239	8	the	the	DET
cana-6116	239	9	positive	positive	ADJ
cana-6116	239	10	constants	constant	NOUN
cana-6116	239	11	1l	1l	NUM
cana-6116	239	12	and	and	CCONJ
cana-6116	239	13	2l	2l	NOUN
cana-6116	239	14	as	as	SCONJ
cana-6116	239	15	so	so	ADV
cana-6116	239	16	chosen	choose	VERB
cana-6116	239	17	that	that	SCONJ
cana-6116	239	18	,	,	PUNCT
cana-6116	239	19	the	the	DET
cana-6116	239	20	coefficients	coefficient	NOUN
cana-6116	239	21	of	of	ADP
cana-6116	239	22	(	(	PUNCT
cana-6116	239	23	)	)	PUNCT
cana-6116	239	24	(	(	PUNCT
cana-6116	239	25	)	)	SYM
cana-6116	239	26	1	1	NUM
cana-6116	239	27	1	1	NUM
cana-6116	239	28	2	2	NUM
cana-6116	239	29	2n	2n	NUM
cana-6116	239	30	n	n	ADP
cana-6116	239	31	n	n	PRON
cana-6116	239	32	n−	n−	NOUN
cana-6116	239	33	−	−	PROPN
cana-6116	239	34	and	and	CCONJ
cana-6116	239	35	(	(	PUNCT
cana-6116	239	36	)	)	PUNCT
cana-6116	239	37	(	(	PUNCT
cana-6116	239	38	)	)	PUNCT
cana-6116	239	39	1	1	NUM
cana-6116	239	40	1	1	NUM
cana-6116	239	41	3	3	NUM
cana-6116	239	42	3n	3n	NUM
cana-6116	239	43	n	n	CCONJ
cana-6116	239	44	n	n	PRON
cana-6116	239	45	n−	n−	NOUN
cana-6116	239	46	−	−	PROPN
cana-6116	239	47	in	in	ADP
cana-6116	239	48	(	(	PUNCT
cana-6116	239	49	17	17	NUM
cana-6116	239	50	)	)	PUNCT
cana-6116	239	51	vanish	vanish	VERB
cana-6116	239	52	.	.	PUNCT
cana-6116	240	1	then	then	ADV
cana-6116	240	2	we	we	PRON
cana-6116	240	3	have	have	VERB
cana-6116	240	4	12	12	NUM
cana-6116	240	5	1	1	NUM
cana-6116	240	6	21	21	NUM
cana-6116	240	7	0	0	NUM
cana-6116	240	8	a	a	DET
cana-6116	240	9	l	l	NOUN
cana-6116	240	10	a	a	X
cana-6116	240	11	=	=	X
cana-6116	240	12			NOUN
cana-6116	240	13	and	and	CCONJ
cana-6116	241	1	11	11	NUM
cana-6116	241	2	33	33	NUM
cana-6116	241	3	2	2	NUM
cana-6116	241	4	2	2	NUM
cana-6116	241	5	31	31	NUM
cana-6116	241	6	4	4	NUM
cana-6116	241	7	0	0	NUM
cana-6116	241	8	a	a	DET
cana-6116	241	9	a	a	DET
cana-6116	241	10	l	l	NOUN
cana-6116	241	11	a	a	PRON
cana-6116	241	12	=	=	X
cana-6116	241	13			INTJ
cana-6116	241	14	,	,	PUNCT
cana-6116	241	15	with	with	ADP
cana-6116	241	16	this	this	DET
cana-6116	241	17	choice	choice	NOUN
cana-6116	241	18	of	of	ADP
cana-6116	241	19	the	the	DET
cana-6116	241	20	constants	constant	NOUN
cana-6116	241	21	1l	1l	NUM
cana-6116	241	22	and	and	CCONJ
cana-6116	241	23	2l	2l	NUM
cana-6116	241	24	2	2	NUM
cana-6116	241	25	3	3	NUM
cana-6116	241	26	3	3	NUM
cana-6116	241	27	20,when	20,when	PROPN
cana-6116	241	28	dl	dl	PROPN
cana-6116	241	29	n	n	CCONJ
cana-6116	241	30	n	n	CCONJ
cana-6116	241	31	n	n	CCONJ
cana-6116	241	32	n	n	ADV
cana-6116	241	33	dt	dt	X
cana-6116	241	34			PROPN
cana-6116	241	35	+	+	CCONJ
cana-6116	241	36			PROPN
cana-6116	242	1	+	+	CCONJ
cana-6116	242	2	hence	hence	ADV
cana-6116	242	3	,	,	PUNCT
cana-6116	242	4	the	the	DET
cana-6116	242	5	steady	steady	ADJ
cana-6116	242	6	state	state	NOUN
cana-6116	242	7	is	be	AUX
cana-6116	242	8	globally	globally	ADV
cana-6116	242	9	asymptotically	asymptotically	ADV
cana-6116	242	10	stable	stable	ADJ
cana-6116	242	11	.	.	PUNCT
cana-6116	243	1	6	6	X
cana-6116	243	2	.	.	X
cana-6116	243	3	numerical	numerical	PROPN
cana-6116	243	4	approach	approach	NOUN
cana-6116	243	5	the	the	DET
cana-6116	243	6	numerical	numerical	ADJ
cana-6116	243	7	solutions	solution	NOUN
cana-6116	243	8	of	of	ADP
cana-6116	243	9	the	the	DET
cana-6116	243	10	growth	growth	NOUN
cana-6116	243	11	rate	rate	NOUN
cana-6116	243	12	equations	equation	NOUN
cana-6116	243	13	(	(	PUNCT
cana-6116	243	14	1	1	NUM
cana-6116	243	15	)	)	PUNCT
cana-6116	243	16	,	,	PUNCT
cana-6116	243	17	(	(	PUNCT
cana-6116	243	18	2	2	X
cana-6116	243	19	)	)	PUNCT
cana-6116	243	20	and	and	CCONJ
cana-6116	243	21	(	(	PUNCT
cana-6116	243	22	3	3	X
cana-6116	243	23	)	)	PUNCT
cana-6116	243	24	computed	compute	VERB
cana-6116	243	25	employing	employ	VERB
cana-6116	243	26	the	the	DET
cana-6116	243	27	fourth	fourth	ADJ
cana-6116	243	28	order	order	NOUN
cana-6116	243	29	runge	runge	NOUN
cana-6116	243	30	-	-	PUNCT
cana-6116	243	31	kutta	kutta	NOUN
cana-6116	243	32	method	method	NOUN
cana-6116	243	33	for	for	ADP
cana-6116	243	34	specific	specific	ADJ
cana-6116	243	35	values	value	NOUN
cana-6116	243	36	of	of	ADP
cana-6116	243	37	the	the	DET
cana-6116	243	38	various	various	ADJ
cana-6116	243	39	parameters	parameter	NOUN
cana-6116	243	40	that	that	PRON
cana-6116	243	41	characterize	characterize	VERB
cana-6116	243	42	the	the	DET
cana-6116	243	43	model	model	NOUN
cana-6116	243	44	and	and	CCONJ
cana-6116	243	45	the	the	DET
cana-6116	243	46	initial	initial	ADJ
cana-6116	243	47	conditions	condition	NOUN
cana-6116	243	48	.	.	PUNCT
cana-6116	244	1	the	the	DET
cana-6116	244	2	results	result	NOUN
cana-6116	244	3	are	be	AUX
cana-6116	244	4	illustrated	illustrate	VERB
cana-6116	244	5	in	in	ADP
cana-6116	244	6	figures	figure	NOUN
cana-6116	244	7	1	1	NUM
cana-6116	244	8	to	to	PART
cana-6116	244	9	4	4	NUM
cana-6116	244	10	.	.	PUNCT
cana-6116	245	1	communications	communication	NOUN
cana-6116	245	2	on	on	ADP
cana-6116	245	3	applied	apply	VERB
cana-6116	245	4	nonlinear	nonlinear	ADJ
cana-6116	245	5	analysis	analysis	NOUN
cana-6116	245	6	issn	issn	NOUN
cana-6116	245	7	:	:	PUNCT
cana-6116	245	8	1074	1074	NUM
cana-6116	245	9	-	-	PUNCT
cana-6116	245	10	133x	133x	NUM
cana-6116	245	11	vol	vol	VERB
cana-6116	245	12	32	32	NUM
cana-6116	245	13	no	no	NOUN
cana-6116	245	14	.	.	PUNCT
cana-6116	246	1	10s	10	NOUN
cana-6116	246	2	(	(	PUNCT
cana-6116	246	3	2025	2025	NUM
cana-6116	246	4	)	)	PUNCT
cana-6116	246	5	3422	3422	NUM
cana-6116	246	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	246	7	figure-1	figure-1	PROPN
cana-6116	246	8	figure-2	figure-2	CCONJ
cana-6116	246	9	figure-3	figure-3	NUM
cana-6116	246	10	communications	communication	NOUN
cana-6116	246	11	on	on	ADP
cana-6116	246	12	applied	apply	VERB
cana-6116	246	13	nonlinear	nonlinear	ADJ
cana-6116	246	14	analysis	analysis	NOUN
cana-6116	246	15	issn	issn	NOUN
cana-6116	246	16	:	:	PUNCT
cana-6116	246	17	1074	1074	NUM
cana-6116	246	18	-	-	PUNCT
cana-6116	246	19	133x	133x	NUM
cana-6116	246	20	vol	vol	VERB
cana-6116	246	21	32	32	NUM
cana-6116	246	22	no	no	NOUN
cana-6116	246	23	.	.	PUNCT
cana-6116	247	1	10s	10	NOUN
cana-6116	247	2	(	(	PUNCT
cana-6116	247	3	2025	2025	NUM
cana-6116	247	4	)	)	PUNCT
cana-6116	247	5	3423	3423	NUM
cana-6116	247	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	247	7	figure-4	figure-4	PROPN
cana-6116	247	8	7	7	NUM
cana-6116	247	9	.	.	PUNCT
cana-6116	247	10	observations	observation	NOUN
cana-6116	247	11	of	of	ADP
cana-6116	247	12	the	the	DET
cana-6116	247	13	above	above	ADJ
cana-6116	247	14	graphs	graph	NOUN
cana-6116	247	15	:	:	PUNCT
cana-6116	247	16	case	case	NOUN
cana-6116	247	17	1	1	NUM
cana-6116	247	18	:	:	PUNCT
cana-6116	247	19	in	in	ADP
cana-6116	247	20	this	this	DET
cana-6116	247	21	case	case	NOUN
cana-6116	247	22	initially	initially	ADV
cana-6116	247	23	the	the	DET
cana-6116	247	24	third	third	ADJ
cana-6116	247	25	species	specie	NOUN
cana-6116	247	26	dominates	dominate	VERB
cana-6116	247	27	by	by	ADP
cana-6116	247	28	the	the	DET
cana-6116	247	29	second	second	ADJ
cana-6116	247	30	species	specie	NOUN
cana-6116	247	31	up	up	ADP
cana-6116	247	32	to	to	ADP
cana-6116	247	33	the	the	DET
cana-6116	247	34	time	time	NOUN
cana-6116	247	35	*	*	PUNCT
cana-6116	247	36	2.41	2.41	NUM
cana-6116	247	37	t	t	NOUN
cana-6116	247	38	=	=	PUNCT
cana-6116	247	39	and	and	CCONJ
cana-6116	247	40	the	the	DET
cana-6116	247	41	first	first	ADJ
cana-6116	247	42	species	specie	NOUN
cana-6116	247	43	up	up	ADP
cana-6116	247	44	to	to	ADP
cana-6116	247	45	the	the	DET
cana-6116	247	46	time	time	NOUN
cana-6116	247	47	*	*	PUNCT
cana-6116	247	48	4	4	NUM
cana-6116	247	49	t	t	NOUN
cana-6116	247	50	=	=	PUNCT
cana-6116	247	51	and	and	CCONJ
cana-6116	247	52	the	the	DET
cana-6116	247	53	dominances	dominance	NOUN
cana-6116	247	54	are	be	AUX
cana-6116	247	55	reversed	reverse	VERB
cana-6116	247	56	.	.	PUNCT
cana-6116	248	1	the	the	DET
cana-6116	248	2	initial	initial	ADJ
cana-6116	248	3	conditions	condition	NOUN
cana-6116	248	4	of	of	ADP
cana-6116	248	5	s1	s1	NOUN
cana-6116	248	6	,	,	PUNCT
cana-6116	248	7	s2	s2	PROPN
cana-6116	248	8	,	,	PUNCT
cana-6116	248	9	s3	s3	PROPN
cana-6116	248	10	are	be	AUX
cana-6116	248	11	in	in	ADP
cana-6116	248	12	decreasing	decrease	VERB
cana-6116	248	13	order	order	NOUN
cana-6116	248	14	.	.	PUNCT
cana-6116	249	1	further	far	ADV
cana-6116	249	2	we	we	PRON
cana-6116	249	3	notice	notice	VERB
cana-6116	249	4	that	that	SCONJ
cana-6116	249	5	the	the	DET
cana-6116	249	6	first	first	ADJ
cana-6116	249	7	species	specie	NOUN
cana-6116	249	8	has	have	VERB
cana-6116	249	9	the	the	DET
cana-6116	249	10	greatest	great	ADJ
cana-6116	249	11	natural	natural	ADJ
cana-6116	249	12	growth	growth	NOUN
cana-6116	249	13	rate	rate	NOUN
cana-6116	249	14	and	and	CCONJ
cana-6116	249	15	the	the	DET
cana-6116	249	16	third	third	ADJ
cana-6116	249	17	species	species	NOUN
cana-6116	249	18	increase	increase	VERB
cana-6116	249	19	gradually	gradually	ADV
cana-6116	249	20	.	.	PUNCT
cana-6116	250	1	this	this	PRON
cana-6116	250	2	is	be	AUX
cana-6116	250	3	illustrated	illustrate	VERB
cana-6116	250	4	in	in	ADP
cana-6116	250	5	figure	figure	NOUN
cana-6116	250	6	1	1	NUM
cana-6116	250	7	.	.	PUNCT
cana-6116	250	8	case	case	NOUN
cana-6116	250	9	2	2	NUM
cana-6116	250	10	:	:	PUNCT
cana-6116	250	11	in	in	ADP
cana-6116	250	12	this	this	DET
cana-6116	250	13	case	case	NOUN
cana-6116	250	14	the	the	DET
cana-6116	250	15	third	third	ADJ
cana-6116	250	16	species	specie	NOUN
cana-6116	250	17	has	have	VERB
cana-6116	250	18	the	the	DET
cana-6116	250	19	least	least	ADJ
cana-6116	250	20	natural	natural	ADJ
cana-6116	250	21	birth	birth	NOUN
cana-6116	250	22	rate	rate	NOUN
cana-6116	250	23	.	.	PUNCT
cana-6116	251	1	the	the	DET
cana-6116	251	2	first	first	ADJ
cana-6116	251	3	and	and	CCONJ
cana-6116	251	4	second	second	ADJ
cana-6116	251	5	species	species	NOUN
cana-6116	251	6	decrease	decrease	NOUN
cana-6116	251	7	initially	initially	ADV
cana-6116	251	8	while	while	SCONJ
cana-6116	251	9	the	the	DET
cana-6116	251	10	third	third	ADJ
cana-6116	251	11	species	species	NOUN
cana-6116	251	12	is	be	AUX
cana-6116	251	13	a	a	DET
cana-6116	251	14	weak	weak	ADJ
cana-6116	251	15	competitor	competitor	NOUN
cana-6116	251	16	with	with	ADP
cana-6116	251	17	no	no	DET
cana-6116	251	18	appreciable	appreciable	ADJ
cana-6116	251	19	growth	growth	NOUN
cana-6116	251	20	even	even	ADV
cana-6116	251	21	from	from	ADP
cana-6116	251	22	the	the	DET
cana-6116	251	23	start	start	NOUN
cana-6116	251	24	.	.	PUNCT
cana-6116	252	1	the	the	DET
cana-6116	252	2	second	second	ADJ
cana-6116	252	3	species	specie	NOUN
cana-6116	252	4	has	have	VERB
cana-6116	252	5	strong	strong	ADJ
cana-6116	252	6	mutual	mutual	ADJ
cana-6116	252	7	interactions	interaction	NOUN
cana-6116	252	8	,	,	PUNCT
cana-6116	252	9	suppressed	suppress	VERB
cana-6116	252	10	by	by	ADP
cana-6116	252	11	s1	s1	PROPN
cana-6116	252	12	but	but	CCONJ
cana-6116	252	13	boosted	boost	VERB
cana-6116	252	14	by	by	ADP
cana-6116	252	15	s3	s3	PROPN
cana-6116	252	16	.	.	PUNCT
cana-6116	253	1	further	far	ADV
cana-6116	253	2	the	the	DET
cana-6116	253	3	second	second	ADJ
cana-6116	253	4	species	specie	NOUN
cana-6116	253	5	dominates	dominate	VERB
cana-6116	253	6	over	over	ADP
cana-6116	253	7	the	the	DET
cana-6116	253	8	third	third	ADJ
cana-6116	253	9	species	specie	NOUN
cana-6116	253	10	up	up	ADP
cana-6116	253	11	to	to	ADP
cana-6116	253	12	the	the	DET
cana-6116	253	13	time	time	NOUN
cana-6116	253	14	instant	instant	NOUN
cana-6116	253	15	*	*	PUNCT
cana-6116	253	16	1.4	1.4	NUM
cana-6116	253	17	t	t	NOUN
cana-6116	253	18	=	=	PUNCT
cana-6116	253	19	after	after	ADP
cana-6116	253	20	which	which	PRON
cana-6116	253	21	the	the	DET
cana-6116	253	22	dominance	dominance	NOUN
cana-6116	253	23	is	be	AUX
cana-6116	253	24	reversed	reverse	VERB
cana-6116	253	25	as	as	SCONJ
cana-6116	253	26	shown	show	VERB
cana-6116	253	27	in	in	ADP
cana-6116	253	28	figure	figure	NOUN
cana-6116	253	29	2	2	NUM
cana-6116	253	30	.	.	PUNCT
cana-6116	253	31	case	case	NOUN
cana-6116	253	32	3	3	NUM
cana-6116	253	33	:	:	PUNCT
cana-6116	253	34	in	in	ADP
cana-6116	253	35	this	this	DET
cana-6116	253	36	case	case	NOUN
cana-6116	253	37	the	the	DET
cana-6116	253	38	first	first	ADJ
cana-6116	253	39	species	specie	NOUN
cana-6116	253	40	dominates	dominate	VERB
cana-6116	253	41	over	over	ADP
cana-6116	253	42	the	the	DET
cana-6116	253	43	second	second	ADJ
cana-6116	253	44	and	and	CCONJ
cana-6116	253	45	third	third	ADJ
cana-6116	253	46	species	specie	NOUN
cana-6116	253	47	.	.	PUNCT
cana-6116	254	1	the	the	DET
cana-6116	254	2	natural	natural	ADJ
cana-6116	254	3	birth	birth	NOUN
cana-6116	254	4	rates	rate	NOUN
cana-6116	254	5	of	of	ADP
cana-6116	254	6	the	the	DET
cana-6116	254	7	first	first	ADJ
cana-6116	254	8	,	,	PUNCT
cana-6116	254	9	second	second	ADJ
cana-6116	254	10	and	and	CCONJ
cana-6116	254	11	third	third	ADJ
cana-6116	254	12	species	specie	NOUN
cana-6116	254	13	are	be	AUX
cana-6116	254	14	in	in	ADP
cana-6116	254	15	decreasing	decrease	VERB
cana-6116	254	16	order	order	NOUN
cana-6116	254	17	.	.	PUNCT
cana-6116	255	1	s3	s3	PROPN
cana-6116	255	2	has	have	VERB
cana-6116	255	3	a	a	DET
cana-6116	255	4	very	very	ADV
cana-6116	255	5	weak	weak	ADJ
cana-6116	255	6	self	self	NOUN
cana-6116	255	7	-	-	PUNCT
cana-6116	255	8	limitation	limitation	NOUN
cana-6116	255	9	,	,	PUNCT
cana-6116	255	10	strong	strong	ADJ
cana-6116	255	11	support	support	NOUN
cana-6116	255	12	from	from	ADP
cana-6116	255	13	s1	s1	PROPN
cana-6116	255	14	grows	grow	VERB
cana-6116	255	15	continuously	continuously	ADV
cana-6116	255	16	,	,	PUNCT
cana-6116	255	17	may	may	AUX
cana-6116	255	18	reach	reach	VERB
cana-6116	255	19	higher	high	ADJ
cana-6116	255	20	equilibrium	equilibrium	NOUN
cana-6116	255	21	.	.	PUNCT
cana-6116	256	1	this	this	PRON
cana-6116	256	2	is	be	AUX
cana-6116	256	3	shown	show	VERB
cana-6116	256	4	in	in	ADP
cana-6116	256	5	figure	figure	NOUN
cana-6116	256	6	3	3	NUM
cana-6116	256	7	.	.	PUNCT
cana-6116	256	8	case	case	NOUN
cana-6116	256	9	4	4	NUM
cana-6116	256	10	:	:	PUNCT
cana-6116	256	11	in	in	ADP
cana-6116	256	12	this	this	DET
cana-6116	256	13	case	case	NOUN
cana-6116	256	14	the	the	DET
cana-6116	256	15	second	second	ADJ
cana-6116	256	16	species	species	NOUN
cana-6116	256	17	dominates	dominate	VERB
cana-6116	256	18	over	over	ADP
cana-6116	256	19	the	the	DET
cana-6116	256	20	third	third	ADJ
cana-6116	256	21	species	specie	NOUN
cana-6116	256	22	up	up	ADP
cana-6116	256	23	to	to	ADP
cana-6116	256	24	the	the	DET
cana-6116	256	25	time	time	NOUN
cana-6116	256	26	instant	instant	NOUN
cana-6116	256	27	*	*	PUNCT
cana-6116	256	28	2.2	2.2	NUM
cana-6116	256	29	t	t	NOUN
cana-6116	256	30	=	=	PUNCT
cana-6116	256	31	after	after	ADP
cana-6116	256	32	which	which	PRON
cana-6116	256	33	the	the	DET
cana-6116	256	34	dominance	dominance	NOUN
cana-6116	256	35	is	be	AUX
cana-6116	256	36	reversed	reverse	VERB
cana-6116	256	37	.	.	PUNCT
cana-6116	257	1	further	far	ADV
cana-6116	257	2	,	,	PUNCT
cana-6116	257	3	the	the	DET
cana-6116	257	4	third	third	ADJ
cana-6116	257	5	species	specie	NOUN
cana-6116	257	6	has	have	VERB
cana-6116	257	7	the	the	DET
cana-6116	257	8	least	least	ADJ
cana-6116	257	9	natural	natural	ADJ
cana-6116	257	10	birth	birth	NOUN
cana-6116	257	11	rate	rate	NOUN
cana-6116	257	12	.	.	PUNCT
cana-6116	258	1	s1	s1	NOUN
cana-6116	258	2	has	have	VERB
cana-6116	258	3	a	a	DET
cana-6116	258	4	strong	strong	ADJ
cana-6116	258	5	self	self	NOUN
cana-6116	258	6	-	-	PUNCT
cana-6116	258	7	limitation	limitation	NOUN
cana-6116	258	8	but	but	CCONJ
cana-6116	258	9	high	high	ADJ
cana-6116	258	10	interaction	interaction	NOUN
cana-6116	258	11	with	with	ADP
cana-6116	258	12	s2	s2	PROPN
cana-6116	258	13	.	.	PUNCT
cana-6116	259	1	(	(	PUNCT
cana-6116	259	2	figure	figure	NOUN
cana-6116	259	3	4	4	NUM
cana-6116	259	4	)	)	PUNCT
cana-6116	259	5	.	.	PUNCT
cana-6116	260	1	8	8	X
cana-6116	260	2	.	.	X
cana-6116	260	3	conclusion	conclusion	NOUN
cana-6116	260	4	in	in	ADP
cana-6116	260	5	this	this	DET
cana-6116	260	6	paper	paper	NOUN
cana-6116	260	7	,	,	PUNCT
cana-6116	260	8	we	we	PRON
cana-6116	260	9	discussed	discuss	VERB
cana-6116	260	10	the	the	DET
cana-6116	260	11	stability	stability	NOUN
cana-6116	260	12	analysis	analysis	NOUN
cana-6116	260	13	of	of	ADP
cana-6116	260	14	three	three	NUM
cana-6116	260	15	species	specie	NOUN
cana-6116	260	16	ecological	ecological	ADJ
cana-6116	260	17	commensalism	commensalism	NOUN
cana-6116	260	18	.	.	PUNCT
cana-6116	261	1	the	the	DET
cana-6116	261	2	model	model	NOUN
cana-6116	261	3	equations	equation	NOUN
cana-6116	261	4	constitute	constitute	VERB
cana-6116	261	5	a	a	DET
cana-6116	261	6	set	set	NOUN
cana-6116	261	7	of	of	ADP
cana-6116	261	8	three	three	NUM
cana-6116	261	9	first	first	ADJ
cana-6116	261	10	order	order	NOUN
cana-6116	261	11	non	non	ADJ
cana-6116	261	12	-	-	ADJ
cana-6116	261	13	linear	linear	ADJ
cana-6116	261	14	coupled	couple	VERB
cana-6116	261	15	differential	differential	ADJ
cana-6116	261	16	equations	equation	NOUN
cana-6116	261	17	.	.	PUNCT
cana-6116	262	1	all	all	DET
cana-6116	262	2	possible	possible	ADJ
cana-6116	262	3	equilibrium	equilibrium	NOUN
cana-6116	262	4	states	state	NOUN
cana-6116	262	5	of	of	ADP
cana-6116	262	6	the	the	DET
cana-6116	262	7	model	model	NOUN
cana-6116	262	8	are	be	AUX
cana-6116	262	9	identified	identify	VERB
cana-6116	262	10	and	and	CCONJ
cana-6116	262	11	the	the	DET
cana-6116	262	12	local	local	ADJ
cana-6116	262	13	stability	stability	NOUN
cana-6116	262	14	is	be	AUX
cana-6116	262	15	discussed	discuss	VERB
cana-6116	262	16	.	.	PUNCT
cana-6116	263	1	it	it	PRON
cana-6116	263	2	is	be	AUX
cana-6116	263	3	observed	observe	VERB
cana-6116	263	4	that	that	SCONJ
cana-6116	263	5	,	,	PUNCT
cana-6116	263	6	in	in	ADP
cana-6116	263	7	all	all	DET
cana-6116	263	8	six	six	NUM
cana-6116	263	9	equilibrium	equilibrium	NOUN
cana-6116	263	10	states	state	NOUN
cana-6116	263	11	,	,	PUNCT
cana-6116	263	12	only	only	ADV
cana-6116	263	13	the	the	DET
cana-6116	263	14	normal	normal	ADJ
cana-6116	263	15	state	state	NOUN
cana-6116	263	16	is	be	AUX
cana-6116	263	17	locally	locally	ADV
cana-6116	263	18	stable	stable	ADJ
cana-6116	263	19	.	.	PUNCT
cana-6116	264	1	further	far	ADV
cana-6116	264	2	,	,	PUNCT
cana-6116	264	3	the	the	DET
cana-6116	264	4	global	global	ADJ
cana-6116	264	5	stability	stability	NOUN
cana-6116	264	6	of	of	ADP
cana-6116	264	7	the	the	DET
cana-6116	264	8	system	system	NOUN
cana-6116	264	9	is	be	AUX
cana-6116	264	10	established	establish	VERB
cana-6116	264	11	with	with	ADP
cana-6116	264	12	the	the	DET
cana-6116	264	13	aid	aid	NOUN
cana-6116	264	14	of	of	ADP
cana-6116	264	15	suitably	suitably	ADV
cana-6116	264	16	constructed	construct	VERB
cana-6116	264	17	liapunov	liapunov	NOUN
cana-6116	264	18	’s	’s	PART
cana-6116	264	19	function	function	NOUN
cana-6116	264	20	and	and	CCONJ
cana-6116	264	21	the	the	DET
cana-6116	264	22	growth	growth	NOUN
cana-6116	264	23	rates	rate	NOUN
cana-6116	264	24	of	of	ADP
cana-6116	264	25	the	the	DET
cana-6116	264	26	species	specie	NOUN
cana-6116	264	27	are	be	AUX
cana-6116	264	28	numerically	numerically	ADV
cana-6116	264	29	estimated	estimate	VERB
cana-6116	264	30	using	use	VERB
cana-6116	264	31	runge	runge	NOUN
cana-6116	264	32	-	-	PUNCT
cana-6116	264	33	kutta	kutta	NOUN
cana-6116	264	34	fourth	fourth	ADJ
cana-6116	264	35	order	order	NOUN
cana-6116	264	36	method	method	NOUN
cana-6116	264	37	.	.	PUNCT
cana-6116	265	1	communications	communication	NOUN
cana-6116	265	2	on	on	ADP
cana-6116	265	3	applied	apply	VERB
cana-6116	265	4	nonlinear	nonlinear	ADJ
cana-6116	265	5	analysis	analysis	NOUN
cana-6116	265	6	issn	issn	NOUN
cana-6116	265	7	:	:	PUNCT
cana-6116	265	8	1074	1074	NUM
cana-6116	265	9	-	-	PUNCT
cana-6116	265	10	133x	133x	NUM
cana-6116	265	11	vol	vol	VERB
cana-6116	265	12	32	32	NUM
cana-6116	265	13	no	no	NOUN
cana-6116	265	14	.	.	PUNCT
cana-6116	266	1	10s	10	NOUN
cana-6116	266	2	(	(	PUNCT
cana-6116	266	3	2025	2025	NUM
cana-6116	266	4	)	)	PUNCT
cana-6116	266	5	3424	3424	NUM
cana-6116	266	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	266	7	references	reference	NOUN
cana-6116	266	8	[	[	X
cana-6116	266	9	1	1	NUM
cana-6116	266	10	]	]	PUNCT
cana-6116	266	11	a.	a.	NOUN
cana-6116	266	12	anna	anna	PROPN
cana-6116	266	13	sher	sher	PROPN
cana-6116	266	14	and	and	CCONJ
cana-6116	266	15	jr	jr	PROPN
cana-6116	266	16	.	.	PROPN
cana-6116	266	17	molles	molles	PROPN
cana-6116	266	18	,	,	PUNCT
cana-6116	266	19	manuel	manuel	PROPN
cana-6116	266	20	c	c	PROPN
cana-6116	266	21	,	,	PUNCT
cana-6116	266	22	ecology	ecology	NOUN
cana-6116	266	23	:	:	PUNCT
cana-6116	266	24	concepts	concept	NOUN
cana-6116	266	25	&	&	CCONJ
cana-6116	266	26	applications	application	NOUN
cana-6116	266	27	,	,	PUNCT
cana-6116	266	28	mcgraw	mcgraw	PROPN
cana-6116	266	29	hill	hill	PROPN
cana-6116	266	30	,	,	PUNCT
cana-6116	266	31	new	new	PROPN
cana-6116	266	32	york	york	PROPN
cana-6116	266	33	,	,	PUNCT
cana-6116	266	34	2018	2018	NUM
cana-6116	266	35	.	.	PUNCT
cana-6116	267	1	[	[	X
cana-6116	267	2	2	2	NUM
cana-6116	267	3	]	]	X
cana-6116	267	4	n.	n.	NOUN
cana-6116	267	5	arumugam	arumugam	NOUN
cana-6116	267	6	,	,	PUNCT
cana-6116	267	7	concepts	concept	NOUN
cana-6116	267	8	of	of	ADP
cana-6116	267	9	ecology	ecology	NOUN
cana-6116	267	10	,	,	PUNCT
cana-6116	267	11	saras	saras	PROPN
cana-6116	267	12	publication	publication	PROPN
cana-6116	267	13	,	,	PUNCT
cana-6116	267	14	india	india	PROPN
cana-6116	267	15	,	,	PUNCT
cana-6116	267	16	2006	2006	NUM
cana-6116	267	17	.	.	PUNCT
cana-6116	268	1	[	[	X
cana-6116	268	2	3	3	X
cana-6116	268	3	]	]	PUNCT
cana-6116	268	4	m.	m.	NOUN
cana-6116	268	5	gillman	gillman	PROPN
cana-6116	268	6	,	,	PUNCT
cana-6116	268	7	an	an	DET
cana-6116	268	8	introduction	introduction	NOUN
cana-6116	268	9	to	to	ADP
cana-6116	268	10	mathematical	mathematical	ADJ
cana-6116	268	11	models	model	NOUN
cana-6116	268	12	in	in	ADP
cana-6116	268	13	ecology	ecology	NOUN
cana-6116	268	14	and	and	CCONJ
cana-6116	268	15	evolution	evolution	NOUN
cana-6116	268	16	,	,	PUNCT
cana-6116	268	17	wileyblackwell	wileyblackwell	ADJ
cana-6116	268	18	,	,	PUNCT
cana-6116	268	19	u.k	u.k	PROPN
cana-6116	268	20	.	.	PROPN
cana-6116	268	21	,	,	PUNCT
cana-6116	268	22	2009	2009	NUM
cana-6116	268	23	.	.	PUNCT
cana-6116	269	1	[	[	X
cana-6116	269	2	4	4	X
cana-6116	269	3	]	]	PUNCT
cana-6116	269	4	m.	m.	NOUN
cana-6116	269	5	kot	kot	PROPN
cana-6116	269	6	,	,	PUNCT
cana-6116	269	7	elements	element	NOUN
cana-6116	269	8	of	of	ADP
cana-6116	269	9	mathematical	mathematical	ADJ
cana-6116	269	10	ecology	ecology	NOUN
cana-6116	269	11	,	,	PUNCT
cana-6116	269	12	cambridge	cambridge	PROPN
cana-6116	269	13	university	university	PROPN
cana-6116	269	14	press	press	PROPN
cana-6116	269	15	,	,	PUNCT
cana-6116	269	16	u.k	u.k	PROPN
cana-6116	269	17	,	,	PUNCT
cana-6116	269	18	2001	2001	NUM
cana-6116	269	19	.	.	PUNCT
cana-6116	270	1	[	[	X
cana-6116	270	2	5	5	NUM
cana-6116	270	3	]	]	X
cana-6116	270	4	n.p	n.p	PROPN
cana-6116	270	5	.	.	PROPN
cana-6116	270	6	kumar	kumar	PROPN
cana-6116	270	7	,	,	PUNCT
cana-6116	270	8	some	some	DET
cana-6116	270	9	mathematical	mathematical	ADJ
cana-6116	270	10	models	model	NOUN
cana-6116	270	11	of	of	ADP
cana-6116	270	12	ecological	ecological	ADJ
cana-6116	270	13	commensalism	commensalism	NOUN
cana-6116	270	14	,	,	PUNCT
cana-6116	270	15	acharya	acharya	PROPN
cana-6116	270	16	nagarjuna	nagarjuna	PROPN
cana-6116	270	17	university	university	PROPN
cana-6116	270	18	,	,	PUNCT
cana-6116	270	19	ph.d	ph.d	PROPN
cana-6116	270	20	.	.	PUNCT
cana-6116	271	1	thesis	thesis	PROPN
cana-6116	271	2	.	.	PUNCT
cana-6116	272	1	2010	2010	NUM
cana-6116	272	2	.	.	PUNCT
cana-6116	273	1	[	[	X
cana-6116	273	2	6	6	NUM
cana-6116	273	3	]	]	PUNCT
cana-6116	273	4	z.	z.	PROPN
cana-6116	273	5	ma	ma	PROPN
cana-6116	273	6	,	,	PUNCT
cana-6116	273	7	the	the	DET
cana-6116	273	8	study	study	NOUN
cana-6116	273	9	of	of	ADP
cana-6116	273	10	biology	biology	NOUN
cana-6116	273	11	model	model	NOUN
cana-6116	273	12	,	,	PUNCT
cana-6116	273	13	anhui	anhui	PROPN
cana-6116	273	14	education	education	PROPN
cana-6116	273	15	press	press	PROPN
cana-6116	273	16	,	,	PUNCT
cana-6116	273	17	china	china	PROPN
cana-6116	273	18	,	,	PUNCT
cana-6116	273	19	1996	1996	NUM
cana-6116	273	20	.	.	PUNCT
cana-6116	274	1	[	[	X
cana-6116	274	2	7	7	X
cana-6116	274	3	]	]	X
cana-6116	274	4	m.	m.	NOUN
cana-6116	274	5	moghadas	moghadas	PROPN
cana-6116	274	6	seyed	seyed	PROPN
cana-6116	274	7	and	and	CCONJ
cana-6116	274	8	majid	majid	PROPN
cana-6116	274	9	jaberi	jaberi	PROPN
cana-6116	274	10	-	-	PUNCT
cana-6116	274	11	douraki	douraki	PROPN
cana-6116	274	12	,	,	PUNCT
cana-6116	274	13	mathematical	mathematical	ADJ
cana-6116	274	14	modelling	modelling	NOUN
cana-6116	274	15	,	,	PUNCT
cana-6116	274	16	john	john	PROPN
cana-6116	274	17	wiley	wiley	PROPN
cana-6116	274	18	&	&	CCONJ
cana-6116	274	19	sons	son	NOUN
cana-6116	274	20	,	,	PUNCT
cana-6116	274	21	new	new	PROPN
cana-6116	274	22	jersey	jersey	PROPN
cana-6116	274	23	,	,	PUNCT
cana-6116	274	24	united	united	PROPN
cana-6116	274	25	states	states	PROPN
cana-6116	274	26	,	,	PUNCT
cana-6116	274	27	2018	2018	NUM
cana-6116	274	28	.	.	PUNCT
cana-6116	275	1	[	[	X
cana-6116	275	2	8	8	NUM
cana-6116	275	3	]	]	X
cana-6116	275	4	j.d	j.d	PROPN
cana-6116	275	5	.	.	PROPN
cana-6116	275	6	murray	murray	PROPN
cana-6116	275	7	,	,	PUNCT
cana-6116	275	8	mathematical	mathematical	ADJ
cana-6116	275	9	biology	biology	NOUN
cana-6116	275	10	,	,	PUNCT
cana-6116	275	11	springer	springer	NOUN
cana-6116	275	12	,	,	PUNCT
cana-6116	275	13	new	new	PROPN
cana-6116	275	14	york	york	PROPN
cana-6116	275	15	,	,	PUNCT
cana-6116	275	16	1993	1993	NUM
cana-6116	275	17	.	.	PUNCT
cana-6116	276	1	[	[	X
cana-6116	276	2	9	9	NUM
cana-6116	276	3	]	]	X
cana-6116	276	4	k.l	k.l	PROPN
cana-6116	276	5	.	.	PROPN
cana-6116	276	6	narayan	narayan	PROPN
cana-6116	276	7	,	,	PUNCT
cana-6116	276	8	a	a	DET
cana-6116	276	9	mathematical	mathematical	ADJ
cana-6116	276	10	study	study	NOUN
cana-6116	276	11	of	of	ADP
cana-6116	276	12	prey	prey	NOUN
cana-6116	276	13	-	-	PUNCT
cana-6116	276	14	predator	predator	NOUN
cana-6116	276	15	ecological	ecological	ADJ
cana-6116	276	16	models	model	NOUN
cana-6116	276	17	with	with	ADP
cana-6116	276	18	a	a	DET
cana-6116	276	19	partial	partial	ADJ
cana-6116	276	20	cover	cover	NOUN
cana-6116	276	21	for	for	ADP
cana-6116	276	22	the	the	DET
cana-6116	276	23	prey	prey	NOUN
cana-6116	276	24	and	and	CCONJ
cana-6116	276	25	alternative	alternative	ADJ
cana-6116	276	26	food	food	NOUN
cana-6116	276	27	for	for	ADP
cana-6116	276	28	the	the	DET
cana-6116	276	29	predator	predator	NOUN
cana-6116	276	30	,	,	PUNCT
cana-6116	276	31	j.n.t.university	j.n.t.university	PROPN
cana-6116	276	32	,	,	PUNCT
cana-6116	276	33	ph.d	ph.d	NOUN
cana-6116	276	34	thesis	thesis	NOUN
cana-6116	276	35	,	,	PUNCT
cana-6116	276	36	2004	2004	NUM
cana-6116	276	37	.	.	PUNCT
cana-6116	277	1	[	[	X
cana-6116	277	2	10	10	NUM
cana-6116	277	3	]	]	X
cana-6116	277	4	b.h	b.h	PROPN
cana-6116	277	5	.	.	PROPN
cana-6116	277	6	prasad	prasad	PROPN
cana-6116	277	7	,	,	PUNCT
cana-6116	277	8	stability	stability	NOUN
cana-6116	277	9	analysis	analysis	NOUN
cana-6116	277	10	of	of	ADP
cana-6116	277	11	a	a	DET
cana-6116	277	12	three	three	NUM
cana-6116	277	13	species	specie	NOUN
cana-6116	277	14	non	non	ADJ
cana-6116	277	15	-	-	ADJ
cana-6116	277	16	linear	linear	ADJ
cana-6116	277	17	eco	eco	NOUN
cana-6116	277	18	-	-	PUNCT
cana-6116	277	19	system	system	NOUN
cana-6116	277	20	with	with	ADP
cana-6116	277	21	restricted	restricted	ADJ
cana-6116	277	22	resources	resource	NOUN
cana-6116	277	23	,	,	PUNCT
cana-6116	277	24	the	the	DET
cana-6116	277	25	journal	journal	NOUN
cana-6116	277	26	of	of	ADP
cana-6116	277	27	indian	indian	PROPN
cana-6116	277	28	mathematical	mathematical	ADJ
cana-6116	277	29	society	society	NOUN
cana-6116	277	30	,	,	PUNCT
cana-6116	277	31	2019	2019	NUM
cana-6116	277	32	,	,	PUNCT
cana-6116	277	33	86	86	NUM
cana-6116	277	34	:	:	SYM
cana-6116	277	35	126	126	NUM
cana-6116	277	36	-	-	SYM
cana-6116	277	37	136	136	NUM
cana-6116	277	38	.	.	PUNCT
cana-6116	278	1	[	[	X
cana-6116	278	2	11	11	NUM
cana-6116	278	3	]	]	X
cana-6116	278	4	b.h	b.h	PROPN
cana-6116	278	5	.	.	PROPN
cana-6116	278	6	prasad	prasad	PROPN
cana-6116	278	7	,	,	PUNCT
cana-6116	278	8	mathematical	mathematical	ADJ
cana-6116	278	9	modeling	modeling	NOUN
cana-6116	278	10	on	on	ADP
cana-6116	278	11	ecosystem	ecosystem	NOUN
cana-6116	278	12	consisting	consist	VERB
cana-6116	278	13	of	of	ADP
cana-6116	278	14	two	two	NUM
cana-6116	278	15	hosts	host	NOUN
cana-6116	278	16	and	and	CCONJ
cana-6116	278	17	one	one	NUM
cana-6116	278	18	commensal	commensal	NOUN
cana-6116	278	19	with	with	ADP
cana-6116	278	20	mortality	mortality	NOUN
cana-6116	278	21	rates	rate	NOUN
cana-6116	278	22	for	for	ADP
cana-6116	278	23	the	the	DET
cana-6116	278	24	first	first	ADJ
cana-6116	278	25	and	and	CCONJ
cana-6116	278	26	third	third	ADJ
cana-6116	278	27	species	specie	NOUN
cana-6116	278	28	,	,	PUNCT
cana-6116	278	29	world	world	NOUN
cana-6116	278	30	journal	journal	NOUN
cana-6116	278	31	of	of	ADP
cana-6116	278	32	modelling	modelling	NOUN
cana-6116	278	33	and	and	CCONJ
cana-6116	278	34	simulation	simulation	NOUN
cana-6116	278	35	,	,	PUNCT
cana-6116	278	36	2017	2017	NUM
cana-6116	278	37	,	,	PUNCT
cana-6116	278	38	13(3	13(3	NUM
cana-6116	278	39	):	):	PUNCT
cana-6116	278	40	163	163	NUM
cana-6116	278	41	-	-	SYM
cana-6116	278	42	172	172	NUM
cana-6116	278	43	.	.	PUNCT
cana-6116	279	1	[	[	X
cana-6116	279	2	12	12	NUM
cana-6116	279	3	]	]	X
cana-6116	279	4	b.h	b.h	PROPN
cana-6116	279	5	.	.	PROPN
cana-6116	279	6	prasad	prasad	PROPN
cana-6116	279	7	,	,	PUNCT
cana-6116	279	8	a	a	DET
cana-6116	279	9	study	study	NOUN
cana-6116	279	10	on	on	ADP
cana-6116	279	11	host	host	NOUN
cana-6116	279	12	mortality	mortality	NOUN
cana-6116	279	13	rate	rate	NOUN
cana-6116	279	14	of	of	ADP
cana-6116	279	15	a	a	DET
cana-6116	279	16	three	three	NUM
cana-6116	279	17	species	specie	NOUN
cana-6116	279	18	multi	multi	ADJ
cana-6116	279	19	ecology	ecology	NOUN
cana-6116	279	20	with	with	ADP
cana-6116	279	21	unlimited	unlimited	ADJ
cana-6116	279	22	resources	resource	NOUN
cana-6116	279	23	for	for	ADP
cana-6116	279	24	the	the	DET
cana-6116	279	25	first	first	ADJ
cana-6116	279	26	species	specie	NOUN
cana-6116	279	27	,	,	PUNCT
cana-6116	279	28	journal	journal	NOUN
cana-6116	279	29	of	of	ADP
cana-6116	279	30	asian	asian	ADJ
cana-6116	279	31	scientific	scientific	ADJ
cana-6116	279	32	research	research	NOUN
cana-6116	279	33	,	,	PUNCT
cana-6116	279	34	2017	2017	NUM
cana-6116	279	35	,	,	PUNCT
cana-6116	279	36	7(4	7(4	NUM
cana-6116	279	37	)	)	PUNCT
cana-6116	279	38	:	:	PUNCT
cana-6116	279	39	134	134	NUM
cana-6116	279	40	-	-	SYM
cana-6116	279	41	144	144	NUM
cana-6116	279	42	.	.	PUNCT
cana-6116	280	1	[	[	X
cana-6116	280	2	13	13	NUM
cana-6116	280	3	]	]	X
cana-6116	280	4	b.h	b.h	PROPN
cana-6116	280	5	.	.	PROPN
cana-6116	280	6	prasad	prasad	PROPN
cana-6116	280	7	,	,	PUNCT
cana-6116	280	8	on	on	ADP
cana-6116	280	9	the	the	DET
cana-6116	280	10	stability	stability	NOUN
cana-6116	280	11	of	of	ADP
cana-6116	280	12	a	a	DET
cana-6116	280	13	three	three	NUM
cana-6116	280	14	species	specie	NOUN
cana-6116	280	15	syn	syn	PROPN
cana-6116	280	16	-	-	PUNCT
cana-6116	280	17	eco	eco	NOUN
cana-6116	280	18	-	-	PUNCT
cana-6116	280	19	system	system	NOUN
cana-6116	280	20	with	with	ADP
cana-6116	280	21	mortality	mortality	NOUN
cana-6116	280	22	rate	rate	NOUN
cana-6116	280	23	for	for	ADP
cana-6116	280	24	the	the	DET
cana-6116	280	25	third	third	ADJ
cana-6116	280	26	species	specie	NOUN
cana-6116	280	27	,	,	PUNCT
cana-6116	280	28	applications	application	NOUN
cana-6116	280	29	and	and	CCONJ
cana-6116	280	30	applied	apply	VERB
cana-6116	280	31	mathematics	mathematic	NOUN
cana-6116	280	32	:	:	PUNCT
cana-6116	280	33	an	an	DET
cana-6116	280	34	int	int	NOUN
cana-6116	280	35	.	.	PUNCT
cana-6116	281	1	journal	journal	PROPN
cana-6116	281	2	,	,	PUNCT
cana-6116	281	3	2015	2015	NUM
cana-6116	281	4	,	,	PUNCT
cana-6116	281	5	10(1	10(1	NUM
cana-6116	281	6	)	)	PUNCT
cana-6116	281	7	:	:	PUNCT
cana-6116	281	8	521	521	NUM
cana-6116	281	9	-	-	SYM
cana-6116	281	10	535	535	NUM
cana-6116	281	11	.	.	PUNCT
cana-6116	282	1	[	[	X
cana-6116	282	2	14	14	NUM
cana-6116	282	3	]	]	X
cana-6116	282	4	b.h	b.h	PROPN
cana-6116	282	5	.	.	PROPN
cana-6116	282	6	prasad	prasad	PROPN
cana-6116	282	7	,	,	PUNCT
cana-6116	282	8	a	a	DET
cana-6116	282	9	study	study	NOUN
cana-6116	282	10	on	on	ADP
cana-6116	282	11	the	the	DET
cana-6116	282	12	discrete	discrete	ADJ
cana-6116	282	13	model	model	NOUN
cana-6116	282	14	of	of	ADP
cana-6116	282	15	three	three	NUM
cana-6116	282	16	species	specie	NOUN
cana-6116	282	17	syn	syn	PROPN
cana-6116	282	18	-	-	PUNCT
cana-6116	282	19	eco	eco	NOUN
cana-6116	282	20	-	-	PUNCT
cana-6116	282	21	system	system	NOUN
cana-6116	282	22	with	with	ADP
cana-6116	282	23	unlimited	unlimited	ADJ
cana-6116	282	24	resources	resource	NOUN
cana-6116	282	25	,	,	PUNCT
cana-6116	282	26	journal	journal	NOUN
cana-6116	282	27	of	of	ADP
cana-6116	282	28	applied	apply	VERB
cana-6116	282	29	mathematics	mathematics	PROPN
cana-6116	282	30	&	&	CCONJ
cana-6116	282	31	computational	computational	ADJ
cana-6116	282	32	mechanics	mechanic	NOUN
cana-6116	282	33	,	,	PUNCT
cana-6116	282	34	2015	2015	NUM
cana-6116	282	35	,	,	PUNCT
cana-6116	282	36	14(2	14(2	NUM
cana-6116	282	37	)	)	PUNCT
cana-6116	282	38	:	:	PUNCT
cana-6116	282	39	85	85	NUM
cana-6116	282	40	-	-	SYM
cana-6116	282	41	93	93	NUM
cana-6116	282	42	.	.	PUNCT
cana-6116	283	1	[	[	X
cana-6116	283	2	15	15	NUM
cana-6116	283	3	]	]	X
cana-6116	283	4	b.h	b.h	PROPN
cana-6116	283	5	.	.	PROPN
cana-6116	283	6	prasad	prasad	PROPN
cana-6116	283	7	,	,	PUNCT
cana-6116	283	8	a	a	DET
cana-6116	283	9	study	study	NOUN
cana-6116	283	10	on	on	ADP
cana-6116	283	11	discrete	discrete	ADJ
cana-6116	283	12	model	model	NOUN
cana-6116	283	13	of	of	ADP
cana-6116	283	14	a	a	DET
cana-6116	283	15	prey	prey	NOUN
cana-6116	283	16	-	-	PUNCT
cana-6116	283	17	predator	predator	NOUN
cana-6116	283	18	eco	eco	NOUN
cana-6116	283	19	-	-	PUNCT
cana-6116	283	20	system	system	NOUN
cana-6116	283	21	with	with	ADP
cana-6116	283	22	limited	limited	ADJ
cana-6116	283	23	and	and	CCONJ
cana-6116	283	24	unlimited	unlimited	ADJ
cana-6116	283	25	resources	resource	NOUN
cana-6116	283	26	,	,	PUNCT
cana-6116	283	27	the	the	DET
cana-6116	283	28	journal	journal	NOUN
cana-6116	283	29	of	of	ADP
cana-6116	283	30	indian	indian	PROPN
cana-6116	283	31	mathematical	mathematical	ADJ
cana-6116	283	32	society	society	NOUN
cana-6116	283	33	,	,	PUNCT
cana-6116	283	34	2015	2015	NUM
cana-6116	283	35	,	,	PUNCT
cana-6116	283	36	82(3	82(3	NUM
cana-6116	283	37	-	-	SYM
cana-6116	283	38	4	4	NUM
cana-6116	283	39	)	)	PUNCT
cana-6116	283	40	:	:	PUNCT
cana-6116	283	41	169	169	NUM
cana-6116	283	42	-	-	SYM
cana-6116	283	43	179	179	NUM
cana-6116	283	44	.	.	PUNCT
cana-6116	284	1	[	[	X
cana-6116	284	2	16	16	NUM
cana-6116	284	3	]	]	X
cana-6116	284	4	b.h	b.h	PROPN
cana-6116	284	5	.	.	PROPN
cana-6116	284	6	prasad	prasad	PROPN
cana-6116	284	7	,	,	PUNCT
cana-6116	284	8	stability	stability	NOUN
cana-6116	284	9	analysis	analysis	NOUN
cana-6116	284	10	of	of	ADP
cana-6116	284	11	a	a	DET
cana-6116	284	12	three	three	NUM
cana-6116	284	13	species	specie	NOUN
cana-6116	284	14	syn	syn	PROPN
cana-6116	284	15	-	-	PUNCT
cana-6116	284	16	eco	eco	NOUN
cana-6116	284	17	-	-	PUNCT
cana-6116	284	18	system	system	NOUN
cana-6116	284	19	with	with	ADP
cana-6116	284	20	mortality	mortality	NOUN
cana-6116	284	21	rate	rate	NOUN
cana-6116	284	22	for	for	ADP
cana-6116	284	23	commensal	commensal	NOUN
cana-6116	284	24	,	,	PUNCT
cana-6116	284	25	matematika	matematika	NOUN
cana-6116	284	26	,	,	PUNCT
cana-6116	284	27	2015	2015	NUM
cana-6116	284	28	,	,	PUNCT
cana-6116	284	29	31(1	31(1	NUM
cana-6116	284	30	)	)	PUNCT
cana-6116	284	31	:	:	PUNCT
cana-6116	284	32	63	63	NUM
cana-6116	284	33	-	-	SYM
cana-6116	284	34	75	75	NUM
cana-6116	284	35	.	.	PUNCT
cana-6116	284	36	communications	communication	NOUN
cana-6116	284	37	on	on	ADP
cana-6116	284	38	applied	apply	VERB
cana-6116	284	39	nonlinear	nonlinear	ADJ
cana-6116	284	40	analysis	analysis	NOUN
cana-6116	284	41	issn	issn	NOUN
cana-6116	284	42	:	:	PUNCT
cana-6116	284	43	1074	1074	NUM
cana-6116	284	44	-	-	PUNCT
cana-6116	284	45	133x	133x	NUM
cana-6116	284	46	vol	vol	VERB
cana-6116	284	47	32	32	NUM
cana-6116	284	48	no	no	NOUN
cana-6116	284	49	.	.	PUNCT
cana-6116	285	1	10s	10	NOUN
cana-6116	285	2	(	(	PUNCT
cana-6116	285	3	2025	2025	NUM
cana-6116	285	4	)	)	PUNCT
cana-6116	285	5	3425	3425	NUM
cana-6116	285	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6116	286	1	[	[	X
cana-6116	286	2	17	17	NUM
cana-6116	286	3	]	]	X
cana-6116	286	4	b.h	b.h	PROPN
cana-6116	286	5	.	.	PROPN
cana-6116	286	6	prasad	prasad	PROPN
cana-6116	286	7	,	,	PUNCT
cana-6116	286	8	a	a	DET
cana-6116	286	9	study	study	NOUN
cana-6116	286	10	on	on	ADP
cana-6116	286	11	discrete	discrete	ADJ
cana-6116	286	12	model	model	NOUN
cana-6116	286	13	of	of	ADP
cana-6116	286	14	three	three	NUM
cana-6116	286	15	species	specie	NOUN
cana-6116	286	16	syn	syn	PROPN
cana-6116	286	17	-	-	PUNCT
cana-6116	286	18	eco	eco	NOUN
cana-6116	286	19	-	-	PUNCT
cana-6116	286	20	system	system	NOUN
cana-6116	286	21	with	with	ADP
cana-6116	286	22	limited	limited	ADJ
cana-6116	286	23	resources	resource	NOUN
cana-6116	286	24	,	,	PUNCT
cana-6116	286	25	int	int	NOUN
cana-6116	286	26	.	.	PUNCT
cana-6116	287	1	journal	journal	PROPN
cana-6116	287	2	modern	modern	ADJ
cana-6116	287	3	education	education	NOUN
cana-6116	287	4	and	and	CCONJ
cana-6116	287	5	computer	computer	NOUN
cana-6116	287	6	science	science	NOUN
cana-6116	287	7	,	,	PUNCT
cana-6116	287	8	2014	2014	NUM
cana-6116	287	9	,	,	PUNCT
cana-6116	287	10	11	11	NUM
cana-6116	287	11	:	:	SYM
cana-6116	287	12	38	38	NUM
cana-6116	287	13	-	-	SYM
cana-6116	287	14	44	44	NUM
cana-6116	287	15	.	.	PUNCT
cana-6116	288	1	[	[	X
cana-6116	288	2	18	18	NUM
cana-6116	288	3	]	]	X
cana-6116	288	4	b.h	b.h	PROPN
cana-6116	288	5	.	.	PROPN
cana-6116	288	6	prasad	prasad	PROPN
cana-6116	288	7	,	,	PUNCT
cana-6116	288	8	a	a	DET
cana-6116	288	9	discrete	discrete	ADJ
cana-6116	288	10	model	model	NOUN
cana-6116	288	11	of	of	ADP
cana-6116	288	12	a	a	DET
cana-6116	288	13	typical	typical	ADJ
cana-6116	288	14	three	three	NUM
cana-6116	288	15	species	specie	NOUN
cana-6116	288	16	syneco	syneco	NOUN
cana-6116	288	17	–	–	PUNCT
cana-6116	288	18	system	system	NOUN
cana-6116	288	19	with	with	ADP
cana-6116	288	20	unlimited	unlimited	ADJ
cana-6116	288	21	resources	resource	NOUN
cana-6116	288	22	for	for	ADP
cana-6116	288	23	the	the	DET
cana-6116	288	24	first	first	ADJ
cana-6116	288	25	and	and	CCONJ
cana-6116	288	26	third	third	ADJ
cana-6116	288	27	species	specie	NOUN
cana-6116	288	28	,	,	PUNCT
cana-6116	288	29	asian	asian	ADJ
cana-6116	288	30	academic	academic	ADJ
cana-6116	288	31	research	research	NOUN
cana-6116	288	32	journal	journal	NOUN
cana-6116	288	33	of	of	ADP
cana-6116	288	34	multidisciplinary	multidisciplinary	ADJ
cana-6116	288	35	,	,	PUNCT
cana-6116	288	36	2014	2014	NUM
cana-6116	288	37	,	,	PUNCT
cana-6116	288	38	1(17	1(17	NUM
cana-6116	288	39	):	):	PUNCT
cana-6116	288	40	36	36	NUM
cana-6116	288	41	-	-	SYM
cana-6116	288	42	46	46	NUM
cana-6116	288	43	.	.	PUNCT
cana-6116	289	1	[	[	X
cana-6116	289	2	19	19	NUM
cana-6116	289	3	]	]	X
cana-6116	289	4	b.h	b.h	PROPN
cana-6116	289	5	.	.	PROPN
cana-6116	289	6	prasad	prasad	PROPN
cana-6116	289	7	and	and	CCONJ
cana-6116	289	8	n.	n.	PROPN
cana-6116	289	9	ch	ch	PROPN
cana-6116	289	10	.	.	PUNCT
cana-6116	290	1	p.	p.	NOUN
cana-6116	290	2	ramacharyulu	ramacharyulu	PROPN
cana-6116	290	3	,	,	PUNCT
cana-6116	290	4	global	global	ADJ
cana-6116	290	5	stability	stability	NOUN
cana-6116	290	6	of	of	ADP
cana-6116	290	7	four	four	NUM
cana-6116	290	8	species	specie	NOUN
cana-6116	290	9	syn	syn	PROPN
cana-6116	290	10	ecosystem	ecosystem	PROPN
cana-6116	290	11	:	:	PUNCT
cana-6116	290	12	a	a	DET
cana-6116	290	13	prey	prey	NOUN
cana-6116	290	14	-	-	PUNCT
cana-6116	290	15	predator	predator	NOUN
cana-6116	290	16	-	-	PUNCT
cana-6116	290	17	host	host	NOUN
cana-6116	290	18	-	-	PUNCT
cana-6116	290	19	commensala	commensala	NOUN
cana-6116	290	20	numerical	numerical	PROPN
cana-6116	290	21	approach	approach	NOUN
cana-6116	290	22	,	,	PUNCT
cana-6116	290	23	int	int	PROPN
cana-6116	290	24	.	.	PUNCT
cana-6116	291	1	journal	journal	PROPN
cana-6116	291	2	of	of	ADP
cana-6116	291	3	mathematics	mathematics	PROPN
cana-6116	291	4	&	&	CCONJ
cana-6116	291	5	computer	computer	NOUN
cana-6116	291	6	applications	application	NOUN
cana-6116	291	7	research	research	NOUN
cana-6116	291	8	,	,	PUNCT
cana-6116	291	9	2013	2013	NUM
cana-6116	291	10	,	,	PUNCT
cana-6116	291	11	3	3	NUM
cana-6116	291	12	:	:	SYM
cana-6116	291	13	275	275	NUM
cana-6116	291	14	-	-	SYM
cana-6116	291	15	290	290	NUM
cana-6116	291	16	.	.	PUNCT
cana-6116	292	1	[	[	X
cana-6116	292	2	20	20	NUM
cana-6116	292	3	]	]	X
cana-6116	292	4	b.h	b.h	PROPN
cana-6116	292	5	.	.	PROPN
cana-6116	292	6	prasad	prasad	PROPN
cana-6116	292	7	,	,	PUNCT
cana-6116	292	8	on	on	ADP
cana-6116	292	9	the	the	DET
cana-6116	292	10	stability	stability	NOUN
cana-6116	292	11	of	of	ADP
cana-6116	292	12	a	a	DET
cana-6116	292	13	four	four	NUM
cana-6116	292	14	species	specie	NOUN
cana-6116	292	15	syn	syn	PROPN
cana-6116	292	16	eco	eco	PROPN
cana-6116	292	17	-	-	PUNCT
cana-6116	292	18	system	system	NOUN
cana-6116	292	19	with	with	ADP
cana-6116	292	20	commensal	commensal	NOUN
cana-6116	292	21	prey	prey	NOUN
cana-6116	292	22	predator	predator	NOUN
cana-6116	292	23	pair	pair	NOUN
cana-6116	292	24	with	with	ADP
cana-6116	292	25	prey	prey	NOUN
cana-6116	292	26	predator	predator	NOUN
cana-6116	292	27	pair	pair	NOUN
cana-6116	292	28	of	of	ADP
cana-6116	292	29	hosts	host	NOUN
cana-6116	292	30	-	-	PUNCT
cana-6116	292	31	iii	iii	NOUN
cana-6116	292	32	,	,	PUNCT
cana-6116	292	33	journal	journal	NOUN
cana-6116	292	34	of	of	ADP
cana-6116	292	35	experimental	experimental	ADJ
cana-6116	292	36	sciences	science	NOUN
cana-6116	292	37	,	,	PUNCT
cana-6116	292	38	2012	2012	NUM
cana-6116	292	39	,	,	PUNCT
cana-6116	292	40	3(2	3(2	NUM
cana-6116	292	41	):	):	PUNCT
cana-6116	292	42	07	07	NUM
cana-6116	292	43	-	-	SYM
cana-6116	292	44	13	13	NUM
cana-6116	292	45	.	.	PUNCT
cana-6116	293	1	[	[	X
cana-6116	293	2	21	21	NUM
cana-6116	293	3	]	]	X
cana-6116	293	4	b.h	b.h	PROPN
cana-6116	293	5	.	.	PROPN
cana-6116	293	6	prasad	prasad	PROPN
cana-6116	293	7	and	and	CCONJ
cana-6116	293	8	n.	n.	PROPN
cana-6116	293	9	ch	ch	PROPN
cana-6116	293	10	.	.	PUNCT
cana-6116	294	1	p.	p.	NOUN
cana-6116	294	2	ramacharyulu	ramacharyulu	PROPN
cana-6116	294	3	,	,	PUNCT
cana-6116	294	4	on	on	ADP
cana-6116	294	5	the	the	DET
cana-6116	294	6	stability	stability	NOUN
cana-6116	294	7	of	of	ADP
cana-6116	294	8	a	a	DET
cana-6116	294	9	typical	typical	ADJ
cana-6116	294	10	three	three	NUM
cana-6116	294	11	species	specie	NOUN
cana-6116	294	12	syn	syn	PROPN
cana-6116	294	13	eco	eco	PROPN
cana-6116	294	14	-	-	PUNCT
cana-6116	294	15	system	system	NOUN
cana-6116	294	16	,	,	PUNCT
cana-6116	294	17	international	international	ADJ
cana-6116	294	18	journal	journal	NOUN
cana-6116	294	19	of	of	ADP
cana-6116	294	20	mathematical	mathematical	ADJ
cana-6116	294	21	archive	archive	NOUN
cana-6116	294	22	,	,	PUNCT
cana-6116	294	23	2012	2012	NUM
cana-6116	294	24	,	,	PUNCT
cana-6116	294	25	3(10	3(10	NUM
cana-6116	294	26	)	)	PUNCT
cana-6116	294	27	:	:	PUNCT
cana-6116	295	1	3583	3583	NUM
cana-6116	295	2	-	-	SYM
cana-6116	295	3	3601	3601	NUM
cana-6116	295	4	.	.	PUNCT
cana-6116	296	1	[	[	X
cana-6116	296	2	22	22	NUM
cana-6116	296	3	]	]	X
cana-6116	296	4	b.h	b.h	PROPN
cana-6116	296	5	.	.	PROPN
cana-6116	296	6	prasad	prasad	PROPN
cana-6116	296	7	and	and	CCONJ
cana-6116	296	8	n.	n.	PROPN
cana-6116	296	9	ch	ch	PROPN
cana-6116	296	10	.	.	PUNCT
cana-6116	297	1	p.	p.	NOUN
cana-6116	297	2	ramacharyulu	ramacharyulu	PROPN
cana-6116	297	3	,	,	PUNCT
cana-6116	297	4	discrete	discrete	ADJ
cana-6116	297	5	model	model	NOUN
cana-6116	297	6	of	of	ADP
cana-6116	297	7	commensalism	commensalism	NOUN
cana-6116	297	8	between	between	ADP
cana-6116	297	9	two	two	NUM
cana-6116	297	10	species	specie	NOUN
cana-6116	297	11	,	,	PUNCT
cana-6116	297	12	international	international	ADJ
cana-6116	297	13	journal	journal	NOUN
cana-6116	297	14	of	of	ADP
cana-6116	297	15	modern	modern	ADJ
cana-6116	297	16	education	education	NOUN
cana-6116	297	17	and	and	CCONJ
cana-6116	297	18	computer	computer	NOUN
cana-6116	297	19	science	science	NOUN
cana-6116	297	20	,	,	PUNCT
cana-6116	297	21	2012	2012	NUM
cana-6116	297	22	,	,	PUNCT
cana-6116	297	23	8	8	NUM
cana-6116	297	24	:	:	SYM
cana-6116	297	25	40	40	NUM
cana-6116	297	26	-	-	SYM
cana-6116	297	27	46	46	NUM
cana-6116	297	28	.	.	PUNCT
cana-6116	298	1	[	[	X
cana-6116	298	2	23	23	NUM
cana-6116	298	3	]	]	X
cana-6116	298	4	b.h	b.h	PROPN
cana-6116	298	5	.	.	PROPN
cana-6116	298	6	prasad	prasad	PROPN
cana-6116	298	7	and	and	CCONJ
cana-6116	298	8	n.	n.	PROPN
cana-6116	298	9	ch	ch	PROPN
cana-6116	298	10	.	.	PUNCT
cana-6116	299	1	p.	p.	NOUN
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cana-6116	299	3	,	,	PUNCT
cana-6116	299	4	on	on	ADP
cana-6116	299	5	the	the	DET
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cana-6116	299	7	of	of	ADP
cana-6116	299	8	a	a	DET
cana-6116	299	9	four	four	NUM
cana-6116	299	10	species	specie	NOUN
cana-6116	299	11	syn	syn	PROPN
cana-6116	299	12	ecosystem	ecosystem	PROPN
cana-6116	299	13	with	with	ADP
cana-6116	299	14	commensal	commensal	NOUN
cana-6116	299	15	prey	prey	NOUN
cana-6116	299	16	predator	predator	NOUN
cana-6116	299	17	pair	pair	NOUN
cana-6116	299	18	with	with	ADP
cana-6116	299	19	prey	prey	NOUN
cana-6116	299	20	predator	predator	NOUN
cana-6116	299	21	pair	pair	NOUN
cana-6116	299	22	of	of	ADP
cana-6116	299	23	hosts	host	NOUN
cana-6116	299	24	-	-	PUNCT
cana-6116	299	25	viii	viii	ADJ
cana-6116	299	26	,	,	PUNCT
cana-6116	299	27	arpn	arpn	VERB
cana-6116	299	28	journal	journal	NOUN
cana-6116	299	29	of	of	ADP
cana-6116	299	30	engineering	engineering	NOUN
cana-6116	299	31	and	and	CCONJ
cana-6116	299	32	applied	apply	VERB
cana-6116	299	33	sciences	science	NOUN
cana-6116	299	34	,	,	PUNCT
cana-6116	299	35	2012	2012	NUM
cana-6116	299	36	,	,	PUNCT
cana-6116	299	37	7(2	7(2	NUM
cana-6116	299	38	)	)	PUNCT
cana-6116	299	39	:	:	PUNCT
cana-6116	300	1	235	235	NUM
cana-6116	300	2	-	-	SYM
cana-6116	300	3	242	242	NUM
cana-6116	300	4	.	.	PUNCT
cana-6116	301	1	[	[	X
cana-6116	301	2	24	24	NUM
cana-6116	301	3	]	]	X
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cana-6116	301	5	.	.	PROPN
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cana-6116	301	9	ch	ch	PROPN
cana-6116	301	10	.	.	PUNCT
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cana-6116	302	3	,	,	PUNCT
cana-6116	302	4	on	on	ADP
cana-6116	302	5	the	the	DET
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cana-6116	302	7	of	of	ADP
cana-6116	302	8	a	a	DET
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cana-6116	302	10	species	specie	NOUN
cana-6116	302	11	syn	syn	PROPN
cana-6116	302	12	ecosystem	ecosystem	PROPN
cana-6116	302	13	with	with	ADP
cana-6116	302	14	commensal	commensal	NOUN
cana-6116	302	15	prey	prey	NOUN
cana-6116	302	16	predator	predator	NOUN
cana-6116	302	17	pair	pair	NOUN
cana-6116	302	18	with	with	ADP
cana-6116	302	19	prey	prey	NOUN
cana-6116	302	20	predator	predator	NOUN
cana-6116	302	21	pair	pair	NOUN
cana-6116	302	22	of	of	ADP
cana-6116	302	23	hosts	host	NOUN
cana-6116	302	24	-	-	PUNCT
cana-6116	302	25	v	v	NOUN
cana-6116	302	26	,	,	PUNCT
cana-6116	302	27	international	international	ADJ
cana-6116	302	28	journal	journal	NOUN
cana-6116	302	29	open	open	ADJ
cana-6116	302	30	problems	problem	NOUN
cana-6116	302	31	compt	compt	VERB
cana-6116	302	32	.	.	PUNCT
cana-6116	303	1	math	math	NOUN
cana-6116	303	2	.	.	PUNCT
cana-6116	303	3	,	,	PUNCT
cana-6116	303	4	2011	2011	NUM
cana-6116	303	5	,	,	PUNCT
cana-6116	303	6	4(3	4(3	NUM
cana-6116	303	7	)	)	PUNCT
cana-6116	303	8	:	:	PUNCT
cana-6116	304	1	129	129	NUM
cana-6116	304	2	-	-	SYM
cana-6116	304	3	145	145	NUM
cana-6116	304	4	.	.	PUNCT
cana-6116	305	1	[	[	X
cana-6116	305	2	25	25	NUM
cana-6116	305	3	]	]	X
cana-6116	305	4	b.h	b.h	PROPN
cana-6116	305	5	.	.	PROPN
cana-6116	305	6	prasad	prasad	PROPN
cana-6116	305	7	and	and	CCONJ
cana-6116	305	8	n.	n.	PROPN
cana-6116	305	9	ch	ch	PROPN
cana-6116	305	10	.	.	PUNCT
cana-6116	306	1	p.	p.	NOUN
cana-6116	306	2	ramacharyulu	ramacharyulu	PROPN
cana-6116	306	3	,	,	PUNCT
cana-6116	306	4	on	on	ADP
cana-6116	306	5	the	the	DET
cana-6116	306	6	stability	stability	NOUN
cana-6116	306	7	of	of	ADP
cana-6116	306	8	a	a	DET
cana-6116	306	9	four	four	NUM
cana-6116	306	10	species	specie	NOUN
cana-6116	306	11	syn	syn	PROPN
cana-6116	306	12	ecosystem	ecosystem	PROPN
cana-6116	306	13	with	with	ADP
cana-6116	306	14	commensal	commensal	NOUN
cana-6116	306	15	prey	prey	NOUN
cana-6116	306	16	predator	predator	NOUN
cana-6116	306	17	pair	pair	NOUN
cana-6116	306	18	with	with	ADP
cana-6116	306	19	prey	prey	NOUN
cana-6116	306	20	predator	predator	NOUN
cana-6116	306	21	pair	pair	NOUN
cana-6116	306	22	of	of	ADP
cana-6116	306	23	hosts	host	NOUN
cana-6116	306	24	vii	vii	PROPN
cana-6116	306	25	,	,	PUNCT
cana-6116	306	26	journal	journal	NOUN
cana-6116	306	27	of	of	ADP
cana-6116	306	28	communication	communication	NOUN
cana-6116	306	29	and	and	CCONJ
cana-6116	306	30	computer	computer	NOUN
cana-6116	306	31	,	,	PUNCT
cana-6116	306	32	2011	2011	NUM
cana-6116	306	33	,	,	PUNCT
cana-6116	306	34	8	8	NUM
cana-6116	306	35	:	:	SYM
cana-6116	306	36	415	415	NUM
cana-6116	306	37	-	-	SYM
cana-6116	306	38	421	421	NUM
cana-6116	306	39	.	.	PUNCT
cana-6116	307	1	[	[	X
cana-6116	307	2	26	26	NUM
cana-6116	307	3	]	]	X
cana-6116	307	4	b.h	b.h	PROPN
cana-6116	307	5	.	.	PROPN
cana-6116	307	6	prasad	prasad	PROPN
cana-6116	307	7	and	and	CCONJ
cana-6116	307	8	n.	n.	PROPN
cana-6116	307	9	ch	ch	PROPN
cana-6116	307	10	.	.	PUNCT
cana-6116	308	1	p.	p.	NOUN
cana-6116	308	2	ramacharyulu	ramacharyulu	PROPN
cana-6116	308	3	,	,	PUNCT
cana-6116	308	4	on	on	ADP
cana-6116	308	5	the	the	DET
cana-6116	308	6	stability	stability	NOUN
cana-6116	308	7	of	of	ADP
cana-6116	308	8	a	a	DET
cana-6116	308	9	four	four	NUM
cana-6116	308	10	species	specie	NOUN
cana-6116	308	11	:	:	PUNCT
cana-6116	308	12	a	a	DET
cana-6116	308	13	preypredator	preypredator	NOUN
cana-6116	308	14	-	-	PUNCT
cana-6116	308	15	host	host	NOUN
cana-6116	308	16	-	-	PUNCT
cana-6116	308	17	commensal	commensal	NOUN
cana-6116	308	18	-	-	PUNCT
cana-6116	308	19	syn	syn	NOUN
cana-6116	308	20	eco	eco	PROPN
cana-6116	308	21	-	-	PUNCT
cana-6116	308	22	system	system	NOUN
cana-6116	308	23	-	-	PUNCT
cana-6116	308	24	iii	iii	NOUN
cana-6116	308	25	,	,	PUNCT
cana-6116	308	26	int	int	NOUN
cana-6116	308	27	.	.	PUNCT
cana-6116	309	1	ejournal	ejournal	PROPN
cana-6116	309	2	of	of	ADP
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cana-6116	309	4	and	and	CCONJ
cana-6116	309	5	engineering	engineering	NOUN
cana-6116	309	6	,	,	PUNCT
cana-6116	309	7	2010	2010	NUM
cana-6116	309	8	,	,	PUNCT
cana-6116	309	9	1(2	1(2	NUM
cana-6116	309	10	)	)	PUNCT
cana-6116	309	11	:	:	PUNCT
cana-6116	310	1	163	163	NUM
cana-6116	310	2	-	-	SYM
cana-6116	310	3	173	173	NUM
cana-6116	310	4	.	.	PUNCT
cana-6116	311	1	[	[	X
cana-6116	311	2	27	27	NUM
cana-6116	311	3	]	]	X
cana-6116	311	4	b.h	b.h	PROPN
cana-6116	311	5	.	.	PROPN
cana-6116	311	6	prasad	prasad	PROPN
cana-6116	311	7	and	and	CCONJ
cana-6116	311	8	n.	n.	PROPN
cana-6116	311	9	ch	ch	PROPN
cana-6116	311	10	.	.	PUNCT
cana-6116	312	1	p.	p.	NOUN
cana-6116	312	2	ramacharyulu	ramacharyulu	PROPN
cana-6116	312	3	,	,	PUNCT
cana-6116	312	4	on	on	ADP
cana-6116	312	5	the	the	DET
cana-6116	312	6	stability	stability	NOUN
cana-6116	312	7	of	of	ADP
cana-6116	312	8	a	a	DET
cana-6116	312	9	four	four	NUM
cana-6116	312	10	species	specie	NOUN
cana-6116	312	11	:	:	PUNCT
cana-6116	312	12	a	a	DET
cana-6116	312	13	preypredator	preypredator	NOUN
cana-6116	312	14	-	-	PUNCT
cana-6116	312	15	host	host	NOUN
cana-6116	312	16	-	-	PUNCT
cana-6116	312	17	commensal	commensal	NOUN
cana-6116	312	18	-	-	PUNCT
cana-6116	312	19	syn	syn	NOUN
cana-6116	312	20	eco	eco	PROPN
cana-6116	312	21	-	-	PUNCT
cana-6116	312	22	system	system	NOUN
cana-6116	312	23	-	-	PUNCT
cana-6116	312	24	ii	ii	NOUN
cana-6116	312	25	,	,	PUNCT
cana-6116	312	26	int	int	NOUN
cana-6116	312	27	.	.	PUNCT
cana-6116	313	1	ejournal	ejournal	PROPN
cana-6116	313	2	of	of	ADP
cana-6116	313	3	mathematics	mathematic	NOUN
cana-6116	313	4	and	and	CCONJ
cana-6116	313	5	engineering	engineering	NOUN
cana-6116	313	6	,	,	PUNCT
cana-6116	313	7	2010	2010	NUM
cana-6116	313	8	,	,	PUNCT
cana-6116	313	9	1(1	1(1	NUM
cana-6116	313	10	)	)	PUNCT
cana-6116	313	11	:	:	PUNCT
cana-6116	314	1	60	60	NUM
cana-6116	314	2	-	-	SYM
cana-6116	314	3	74	74	NUM
cana-6116	314	4	.	.	PUNCT
cana-6116	315	1	[	[	X
cana-6116	315	2	28	28	NUM
cana-6116	315	3	]	]	X
cana-6116	315	4	p.d	p.d	PROPN
cana-6116	315	5	.	.	PROPN
cana-6116	315	6	sharma	sharma	PROPN
cana-6116	315	7	,	,	PUNCT
cana-6116	315	8	ecology	ecology	NOUN
cana-6116	315	9	and	and	CCONJ
cana-6116	315	10	environment	environment	NOUN
cana-6116	315	11	,	,	PUNCT
cana-6116	315	12	rastogi	rastogi	ADP
cana-6116	315	13	publications	publication	NOUN
cana-6116	315	14	,	,	PUNCT
cana-6116	315	15	india	india	PROPN
cana-6116	315	16	,	,	PUNCT
cana-6116	315	17	2009	2009	NUM
cana-6116	315	18	.	.	PUNCT
cana-6116	316	1	[	[	X
cana-6116	316	2	29	29	NUM
cana-6116	316	3	]	]	X
cana-6116	316	4	n.c	n.c	PROPN
cana-6116	316	5	.	.	PROPN
cana-6116	316	6	srinivas	srinivas	PROPN
cana-6116	316	7	,	,	PUNCT
cana-6116	316	8	some	some	DET
cana-6116	316	9	mathematical	mathematical	ADJ
cana-6116	316	10	aspects	aspect	NOUN
cana-6116	316	11	of	of	ADP
cana-6116	316	12	modeling	modeling	NOUN
cana-6116	316	13	in	in	ADP
cana-6116	316	14	bio	bio	ADJ
cana-6116	316	15	-	-	ADJ
cana-6116	316	16	medical	medical	ADJ
cana-6116	316	17	sciences	science	NOUN
cana-6116	316	18	,	,	PUNCT
cana-6116	316	19	kakatiya	kakatiya	PROPN
cana-6116	316	20	university	university	PROPN
cana-6116	316	21	,	,	PUNCT
cana-6116	316	22	ph.d	ph.d	PROPN
cana-6116	316	23	thesis	thesis	NOUN
cana-6116	316	24	,	,	PUNCT
cana-6116	316	25	1991	1991	NUM
cana-6116	316	26	.	.	PUNCT
cana-6116	317	1	[	[	X
cana-6116	317	2	30	30	NUM
cana-6116	317	3	]	]	X
cana-6116	317	4	sze	sze	PROPN
cana-6116	317	5	-	-	PUNCT
cana-6116	317	6	bi	bi	PROPN
cana-6116	317	7	hsu	hsu	PROPN
cana-6116	317	8	,	,	PUNCT
cana-6116	317	9	mathematical	mathematical	ADJ
cana-6116	317	10	modeling	modeling	NOUN
cana-6116	317	11	in	in	ADP
cana-6116	317	12	biological	biological	ADJ
cana-6116	317	13	science	science	NOUN
cana-6116	317	14	,	,	PUNCT
cana-6116	317	15	tsing	tsing	NOUN
cana-6116	317	16	-	-	PUNCT
cana-6116	317	17	hua	hua	PROPN
cana-6116	317	18	university	university	PROPN
cana-6116	317	19	,	,	PUNCT
cana-6116	317	20	taiwan	taiwan	PROPN
cana-6116	317	21	,	,	PUNCT
cana-6116	317	22	2004	2004	NUM
cana-6116	317	23	.	.	PUNCT