id	sid	tid	token	lemma	pos
ejpam-3492	1	1	european	european	PROPN
ejpam-3492	1	2	journal	journal	PROPN
ejpam-3492	1	3	of	of	ADP
ejpam-3492	1	4	pure	pure	ADJ
ejpam-3492	1	5	and	and	CCONJ
ejpam-3492	1	6	applied	apply	VERB
ejpam-3492	1	7	mathematics	mathematic	NOUN
ejpam-3492	1	8	vol	vol	NOUN
ejpam-3492	1	9	.	.	PROPN
ejpam-3492	2	1	12	12	NUM
ejpam-3492	2	2	,	,	PUNCT
ejpam-3492	2	3	no	no	INTJ
ejpam-3492	2	4	.	.	NOUN
ejpam-3492	2	5	3	3	NUM
ejpam-3492	2	6	,	,	PUNCT
ejpam-3492	2	7	2019	2019	NUM
ejpam-3492	2	8	,	,	PUNCT
ejpam-3492	2	9	680	680	NUM
ejpam-3492	2	10	-	-	SYM
ejpam-3492	2	11	688	688	NUM
ejpam-3492	2	12	issn	issn	PROPN
ejpam-3492	2	13	1307	1307	NUM
ejpam-3492	2	14	-	-	SYM
ejpam-3492	2	15	5543	5543	NUM
ejpam-3492	2	16	–	–	PUNCT
ejpam-3492	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3492	2	18	published	publish	VERB
ejpam-3492	2	19	by	by	ADP
ejpam-3492	2	20	new	new	PROPN
ejpam-3492	2	21	york	york	PROPN
ejpam-3492	2	22	business	business	PROPN
ejpam-3492	2	23	global	global	PROPN
ejpam-3492	2	24	on	on	ADP
ejpam-3492	2	25	the	the	DET
ejpam-3492	2	26	nonchaotic	nonchaotic	ADJ
ejpam-3492	2	27	nature	nature	NOUN
ejpam-3492	2	28	of	of	ADP
ejpam-3492	2	29	monotone	monotone	ADJ
ejpam-3492	2	30	dynamical	dynamical	ADJ
ejpam-3492	2	31	systems	system	NOUN
ejpam-3492	2	32	morris	morris	PROPN
ejpam-3492	2	33	w.	w.	PROPN
ejpam-3492	2	34	hirsch1,2	hirsch1,2	PROPN
ejpam-3492	2	35	1	1	NUM
ejpam-3492	2	36	department	department	NOUN
ejpam-3492	2	37	of	of	ADP
ejpam-3492	2	38	mathematics	mathematics	PROPN
ejpam-3492	2	39	,	,	PUNCT
ejpam-3492	2	40	university	university	NOUN
ejpam-3492	2	41	of	of	ADP
ejpam-3492	2	42	wisconsin	wisconsin	PROPN
ejpam-3492	2	43	at	at	ADP
ejpam-3492	2	44	madison	madison	PROPN
ejpam-3492	2	45	,	,	PUNCT
ejpam-3492	2	46	wi	wi	PROPN
ejpam-3492	2	47	53706	53706	NUM
ejpam-3492	2	48	,	,	PUNCT
ejpam-3492	2	49	usa	usa	PROPN
ejpam-3492	2	50	2	2	NUM
ejpam-3492	2	51	department	department	NOUN
ejpam-3492	2	52	of	of	ADP
ejpam-3492	2	53	mathematics	mathematics	PROPN
ejpam-3492	2	54	,	,	PUNCT
ejpam-3492	2	55	university	university	PROPN
ejpam-3492	2	56	of	of	ADP
ejpam-3492	2	57	california	california	PROPN
ejpam-3492	2	58	at	at	ADP
ejpam-3492	2	59	berkeley	berkeley	PROPN
ejpam-3492	2	60	,	,	PUNCT
ejpam-3492	2	61	berkeley	berkeley	PROPN
ejpam-3492	2	62	,	,	PUNCT
ejpam-3492	2	63	ca	ca	NOUN
ejpam-3492	2	64	94720	94720	NUM
ejpam-3492	2	65	-	-	SYM
ejpam-3492	2	66	384	384	NUM
ejpam-3492	2	67	,	,	PUNCT
ejpam-3492	2	68	usa	usa	PROPN
ejpam-3492	2	69	abstract	abstract	NOUN
ejpam-3492	2	70	.	.	PUNCT
ejpam-3492	3	1	two	two	NUM
ejpam-3492	3	2	common	common	ADJ
ejpam-3492	3	3	types	type	NOUN
ejpam-3492	3	4	of	of	ADP
ejpam-3492	3	5	dynamics	dynamic	NOUN
ejpam-3492	3	6	,	,	PUNCT
ejpam-3492	3	7	chaotic	chaotic	ADJ
ejpam-3492	3	8	and	and	CCONJ
ejpam-3492	3	9	monotone	monotone	ADJ
ejpam-3492	3	10	,	,	PUNCT
ejpam-3492	3	11	are	be	AUX
ejpam-3492	3	12	compared	compare	VERB
ejpam-3492	3	13	.	.	PUNCT
ejpam-3492	4	1	it	it	PRON
ejpam-3492	4	2	is	be	AUX
ejpam-3492	4	3	shown	show	VERB
ejpam-3492	4	4	that	that	SCONJ
ejpam-3492	4	5	monotone	monotone	ADJ
ejpam-3492	4	6	maps	map	NOUN
ejpam-3492	4	7	in	in	ADP
ejpam-3492	4	8	strongly	strongly	ADV
ejpam-3492	4	9	ordered	order	VERB
ejpam-3492	4	10	spaces	space	NOUN
ejpam-3492	4	11	do	do	AUX
ejpam-3492	4	12	not	not	PART
ejpam-3492	4	13	have	have	VERB
ejpam-3492	4	14	chaotic	chaotic	ADJ
ejpam-3492	4	15	attractors	attractor	NOUN
ejpam-3492	4	16	.	.	PUNCT
ejpam-3492	5	1	2010	2010	NUM
ejpam-3492	5	2	mathematics	mathematic	NOUN
ejpam-3492	5	3	subject	subject	NOUN
ejpam-3492	5	4	classifications	classification	NOUN
ejpam-3492	5	5	:	:	PUNCT
ejpam-3492	5	6	37bxx	37bxx	NOUN
ejpam-3492	5	7	,	,	PUNCT
ejpam-3492	5	8	34c12	34c12	NUM
ejpam-3492	5	9	,	,	PUNCT
ejpam-3492	5	10	37d4	37d4	NUM
ejpam-3492	5	11	key	key	ADJ
ejpam-3492	5	12	words	word	NOUN
ejpam-3492	5	13	and	and	CCONJ
ejpam-3492	5	14	phrases	phrase	NOUN
ejpam-3492	5	15	:	:	PUNCT
ejpam-3492	5	16	topological	topological	ADJ
ejpam-3492	5	17	dynamics	dynamic	NOUN
ejpam-3492	5	18	,	,	PUNCT
ejpam-3492	5	19	monotone	monotone	ADJ
ejpam-3492	5	20	systems	system	NOUN
ejpam-3492	5	21	,	,	PUNCT
ejpam-3492	5	22	strange	strange	ADJ
ejpam-3492	5	23	attractors	attractor	NOUN
ejpam-3492	5	24	,	,	PUNCT
ejpam-3492	5	25	chaotic	chaotic	ADJ
ejpam-3492	5	26	dynamics	dynamic	NOUN
ejpam-3492	5	27	1	1	NUM
ejpam-3492	5	28	.	.	PUNCT
ejpam-3492	6	1	introduction	introduction	NOUN
ejpam-3492	6	2	this	this	DET
ejpam-3492	6	3	article	article	NOUN
ejpam-3492	6	4	reviews	review	VERB
ejpam-3492	6	5	and	and	CCONJ
ejpam-3492	6	6	contrasts	contrast	VERB
ejpam-3492	6	7	two	two	NUM
ejpam-3492	6	8	protean	protean	ADJ
ejpam-3492	6	9	classes	class	NOUN
ejpam-3492	6	10	of	of	ADP
ejpam-3492	6	11	dynamical	dynamical	ADJ
ejpam-3492	6	12	systems	system	NOUN
ejpam-3492	6	13	frequently	frequently	ADV
ejpam-3492	6	14	used	use	VERB
ejpam-3492	6	15	applied	apply	VERB
ejpam-3492	6	16	fields	field	NOUN
ejpam-3492	6	17	,	,	PUNCT
ejpam-3492	6	18	chaotic	chaotic	ADJ
ejpam-3492	6	19	and	and	CCONJ
ejpam-3492	6	20	monotone	monotone	ADJ
ejpam-3492	6	21	.	.	PUNCT
ejpam-3492	7	1	1.1	1.1	NUM
ejpam-3492	7	2	.	.	PUNCT
ejpam-3492	8	1	terminology	terminology	NOUN
ejpam-3492	8	2	“	"	PUNCT
ejpam-3492	8	3	space	space	NOUN
ejpam-3492	8	4	”	"	PUNCT
ejpam-3492	8	5	means	mean	VERB
ejpam-3492	8	6	a	a	DET
ejpam-3492	8	7	topological	topological	ADJ
ejpam-3492	8	8	space	space	NOUN
ejpam-3492	8	9	with	with	ADP
ejpam-3492	8	10	a	a	DET
ejpam-3492	8	11	metric	metric	NOUN
ejpam-3492	8	12	denoted	denote	VERB
ejpam-3492	8	13	by	by	ADP
ejpam-3492	8	14	d.	d.	PROPN
ejpam-3492	8	15	the	the	DET
ejpam-3492	8	16	distance	distance	NOUN
ejpam-3492	8	17	from	from	ADP
ejpam-3492	8	18	a	a	DET
ejpam-3492	8	19	point	point	NOUN
ejpam-3492	8	20	y	y	PROPN
ejpam-3492	8	21	to	to	ADP
ejpam-3492	8	22	a	a	DET
ejpam-3492	8	23	set	set	NOUN
ejpam-3492	8	24	q	q	NOUN
ejpam-3492	8	25	is	be	AUX
ejpam-3492	8	26	dist	dist	NOUN
ejpam-3492	8	27	(	(	PUNCT
ejpam-3492	8	28	y	y	NOUN
ejpam-3492	8	29	,	,	PUNCT
ejpam-3492	8	30	q	q	NOUN
ejpam-3492	8	31	)	)	PUNCT
ejpam-3492	9	1	:	:	PUNCT
ejpam-3492	9	2	=	=	SYM
ejpam-3492	9	3	inf{d(y	inf{d(y	PROPN
ejpam-3492	9	4	,	,	PUNCT
ejpam-3492	9	5	q	q	NOUN
ejpam-3492	9	6	)	)	PUNCT
ejpam-3492	9	7	:	:	PUNCT
ejpam-3492	9	8	q	q	PUNCT
ejpam-3492	9	9	∈	∈	ADJ
ejpam-3492	9	10	q	q	X
ejpam-3492	9	11	}	}	PUNCT
ejpam-3492	9	12	.	.	PUNCT
ejpam-3492	10	1	maps	map	NOUN
ejpam-3492	10	2	are	be	AUX
ejpam-3492	10	3	assumed	assume	VERB
ejpam-3492	10	4	continuous	continuous	ADJ
ejpam-3492	10	5	.	.	PUNCT
ejpam-3492	11	1	aa	aa	PROPN
ejpam-3492	11	2	dynamical	dynamical	ADJ
ejpam-3492	11	3	system	system	NOUN
ejpam-3492	11	4	on	on	ADP
ejpam-3492	11	5	a	a	DET
ejpam-3492	11	6	space	space	NOUN
ejpam-3492	11	7	s	s	PART
ejpam-3492	11	8	—	—	PUNCT
ejpam-3492	11	9	the	the	DET
ejpam-3492	11	10	set	set	NOUN
ejpam-3492	11	11	of	of	ADP
ejpam-3492	11	12	states	state	NOUN
ejpam-3492	11	13	—	—	PUNCT
ejpam-3492	11	14	is	be	AUX
ejpam-3492	11	15	a	a	DET
ejpam-3492	11	16	a	a	DET
ejpam-3492	11	17	family	family	NOUN
ejpam-3492	11	18	f	f	NOUN
ejpam-3492	11	19	=	=	PRON
ejpam-3492	11	20	{	{	PUNCT
ejpam-3492	11	21	ft	ft	NOUN
ejpam-3492	11	22	}	}	PUNCT
ejpam-3492	11	23	of	of	ADP
ejpam-3492	11	24	maps	map	NOUN
ejpam-3492	11	25	between	between	ADP
ejpam-3492	11	26	subsets	subset	NOUN
ejpam-3492	11	27	of	of	ADP
ejpam-3492	11	28	s	s	PRON
ejpam-3492	11	29	,	,	PUNCT
ejpam-3492	11	30	called	call	VERB
ejpam-3492	11	31	the	the	DET
ejpam-3492	11	32	dynamic	dynamic	NOUN
ejpam-3492	11	33	.	.	PUNCT
ejpam-3492	12	1	the	the	DET
ejpam-3492	12	2	parameter	parameter	PROPN
ejpam-3492	12	3	t	t	PROPN
ejpam-3492	12	4	,	,	PUNCT
ejpam-3492	12	5	representing	represent	VERB
ejpam-3492	12	6	time	time	NOUN
ejpam-3492	12	7	,	,	PUNCT
ejpam-3492	12	8	varies	vary	VERB
ejpam-3492	12	9	over	over	ADP
ejpam-3492	12	10	an	an	DET
ejpam-3492	12	11	appropriate	appropriate	ADJ
ejpam-3492	12	12	set	set	NOUN
ejpam-3492	12	13	of	of	ADP
ejpam-3492	12	14	real	real	ADJ
ejpam-3492	12	15	numbers	number	NOUN
ejpam-3492	12	16	.	.	PUNCT
ejpam-3492	13	1	an	an	DET
ejpam-3492	13	2	initial	initial	ADJ
ejpam-3492	13	3	state	state	NOUN
ejpam-3492	13	4	x	x	PUNCT
ejpam-3492	13	5	evolves	evolve	NOUN
ejpam-3492	13	6	to	to	ADP
ejpam-3492	13	7	ft	ft	PART
ejpam-3492	13	8	x	x	X
ejpam-3492	13	9	at	at	ADP
ejpam-3492	13	10	t	t	PROPN
ejpam-3492	13	11	≥	≥	NUM
ejpam-3492	13	12	0	0	NUM
ejpam-3492	13	13	,	,	PUNCT
ejpam-3492	13	14	so	so	SCONJ
ejpam-3492	13	15	that	that	SCONJ
ejpam-3492	13	16	fs(ft	fs(ft	PROPN
ejpam-3492	13	17	x	x	X
ejpam-3492	13	18	)	)	PUNCT
ejpam-3492	13	19	=	=	SYM
ejpam-3492	13	20	fs+t	fs+t	PROPN
ejpam-3492	13	21	x	x	NOUN
ejpam-3492	13	22	,	,	PUNCT
ejpam-3492	13	23	and	and	CCONJ
ejpam-3492	13	24	f0	f0	PROPN
ejpam-3492	13	25	is	be	AUX
ejpam-3492	13	26	the	the	DET
ejpam-3492	13	27	identity	identity	NOUN
ejpam-3492	13	28	map	map	NOUN
ejpam-3492	13	29	on	on	ADP
ejpam-3492	13	30	s	s	PRON
ejpam-3492	13	31	.	.	PUNCT
ejpam-3492	14	1	every	every	DET
ejpam-3492	14	2	map	map	NOUN
ejpam-3492	14	3	g	g	NOUN
ejpam-3492	14	4	:	:	PUNCT
ejpam-3492	14	5	s	s	X
ejpam-3492	14	6	→	→	SYM
ejpam-3492	14	7	s	s	PART
ejpam-3492	14	8	defines	define	NOUN
ejpam-3492	14	9	a	a	DET
ejpam-3492	14	10	dynamical	dynamical	ADJ
ejpam-3492	14	11	system	system	NOUN
ejpam-3492	14	12	on	on	ADP
ejpam-3492	14	13	s	s	VERB
ejpam-3492	14	14	whose	whose	DET
ejpam-3492	14	15	dynamic	dynamic	NOUN
ejpam-3492	14	16	is	be	AUX
ejpam-3492	14	17	the	the	DET
ejpam-3492	14	18	set	set	NOUN
ejpam-3492	14	19	of	of	ADP
ejpam-3492	14	20	iterates	iterate	NOUN
ejpam-3492	14	21	{	{	PUNCT
ejpam-3492	14	22	g	g	PROPN
ejpam-3492	14	23	j	j	PROPN
ejpam-3492	14	24	}	}	PUNCT
ejpam-3492	14	25	where	where	SCONJ
ejpam-3492	14	26	j	j	PROPN
ejpam-3492	14	27	runs	run	VERB
ejpam-3492	14	28	over	over	ADP
ejpam-3492	14	29	the	the	DET
ejpam-3492	14	30	integers	integer	NOUN
ejpam-3492	14	31	≥	≥	NOUN
ejpam-3492	14	32	0	0	NUM
ejpam-3492	14	33	,	,	PUNCT
ejpam-3492	14	34	or	or	CCONJ
ejpam-3492	14	35	all	all	DET
ejpam-3492	14	36	the	the	DET
ejpam-3492	14	37	integers	integer	NOUN
ejpam-3492	14	38	when	when	SCONJ
ejpam-3492	14	39	g	g	PROPN
ejpam-3492	14	40	is	be	AUX
ejpam-3492	14	41	a	a	DET
ejpam-3492	14	42	homeomorphism	homeomorphism	NOUN
ejpam-3492	14	43	of	of	ADP
ejpam-3492	14	44	s	s	PRON
ejpam-3492	14	45	.	.	PUNCT
ejpam-3492	15	1	when	when	SCONJ
ejpam-3492	15	2	f	f	PROPN
ejpam-3492	15	3	is	be	AUX
ejpam-3492	15	4	clear	clear	ADJ
ejpam-3492	15	5	from	from	ADP
ejpam-3492	15	6	the	the	DET
ejpam-3492	15	7	context	context	NOUN
ejpam-3492	15	8	,	,	PUNCT
ejpam-3492	15	9	ft(x	ft(x	NUM
ejpam-3492	15	10	)	)	PUNCT
ejpam-3492	15	11	may	may	AUX
ejpam-3492	15	12	be	be	AUX
ejpam-3492	15	13	denoted	denote	VERB
ejpam-3492	15	14	by	by	ADP
ejpam-3492	15	15	x(t	x(t	PROPN
ejpam-3492	15	16	)	)	PUNCT
ejpam-3492	15	17	.	.	PUNCT
ejpam-3492	16	1	let	let	VERB
ejpam-3492	16	2	t	t	NOUN
ejpam-3492	16	3	:	:	PUNCT
ejpam-3492	16	4	y	y	PROPN
ejpam-3492	16	5	→	→	SYM
ejpam-3492	16	6	y	y	PROPN
ejpam-3492	16	7	denote	denote	VERB
ejpam-3492	16	8	a	a	DET
ejpam-3492	16	9	map	map	NOUN
ejpam-3492	16	10	.	.	PUNCT
ejpam-3492	17	1	the	the	DET
ejpam-3492	17	2	orbit	orbit	NOUN
ejpam-3492	17	3	of	of	ADP
ejpam-3492	17	4	y	y	PROPN
ejpam-3492	17	5	∈	∈	PROPN
ejpam-3492	17	6	y	y	PROPN
ejpam-3492	17	7	under	under	ADP
ejpam-3492	17	8	t	t	PROPN
ejpam-3492	17	9	is	be	AUX
ejpam-3492	17	10	the	the	DET
ejpam-3492	17	11	set	set	NOUN
ejpam-3492	17	12	{	{	PUNCT
ejpam-3492	17	13	y	y	PROPN
ejpam-3492	17	14	,	,	PUNCT
ejpam-3492	17	15	ty	ty	PROPN
ejpam-3492	17	16	,	,	PUNCT
ejpam-3492	17	17	t	t	PROPN
ejpam-3492	17	18	2y	2y	NUM
ejpam-3492	17	19	,	,	PUNCT
ejpam-3492	17	20	.	.	PUNCT
ejpam-3492	17	21	.	.	PUNCT
ejpam-3492	17	22	.	.	PUNCT
ejpam-3492	18	1	}	}	PUNCT
ejpam-3492	19	1	⊂	⊂	PROPN
ejpam-3492	19	2	y.	y.	NOUN
ejpam-3492	19	3	if	if	SCONJ
ejpam-3492	19	4	t	t	PROPN
ejpam-3492	19	5	ky	ky	PROPN
ejpam-3492	19	6	=	=	PUNCT
ejpam-3492	19	7	y	y	PROPN
ejpam-3492	19	8	for	for	ADP
ejpam-3492	19	9	some	some	DET
ejpam-3492	19	10	k	k	PROPN
ejpam-3492	19	11	≥	≥	NOUN
ejpam-3492	19	12	1	1	NUM
ejpam-3492	19	13	then	then	ADV
ejpam-3492	19	14	y	y	PROPN
ejpam-3492	19	15	and	and	CCONJ
ejpam-3492	19	16	its	its	PRON
ejpam-3492	19	17	orbit	orbit	NOUN
ejpam-3492	19	18	are	be	AUX
ejpam-3492	19	19	periodic	periodic	ADJ
ejpam-3492	19	20	.	.	PUNCT
ejpam-3492	20	1	a	a	DET
ejpam-3492	20	2	nonempty	nonempty	NOUN
ejpam-3492	20	3	set	set	VERB
ejpam-3492	20	4	a	a	DET
ejpam-3492	20	5	⊂	⊂	PROPN
ejpam-3492	20	6	y	y	PROPN
ejpam-3492	20	7	attracts	attract	VERB
ejpam-3492	20	8	y	y	PROPN
ejpam-3492	20	9	∈	∈	PROPN
ejpam-3492	20	10	y	y	PROPN
ejpam-3492	20	11	if	if	SCONJ
ejpam-3492	20	12	doi	doi	X
ejpam-3492	20	13	:	:	PUNCT
ejpam-3492	20	14	https://doi.org/10.29020/nybg.ejpam.v12i3.3492	https://doi.org/10.29020/nybg.ejpam.v12i3.3492	NOUN
ejpam-3492	20	15	email	email	NOUN
ejpam-3492	20	16	address	address	NOUN
ejpam-3492	20	17	:	:	PUNCT
ejpam-3492	21	1	mwhirsch@chorus.net	mwhirsch@chorus.net	NOUN
ejpam-3492	21	2	(	(	PUNCT
ejpam-3492	21	3	m.	m.	PROPN
ejpam-3492	21	4	w.	w.	PROPN
ejpam-3492	21	5	hirsch	hirsch	PROPN
ejpam-3492	21	6	)	)	PUNCT
ejpam-3492	21	7	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3492	22	1	680	680	NUM
ejpam-3492	22	2	c	c	X
ejpam-3492	22	3	©	©	PROPN
ejpam-3492	22	4	2019	2019	NUM
ejpam-3492	22	5	ejpam	ejpam	NOUN
ejpam-3492	22	6	all	all	DET
ejpam-3492	22	7	rights	right	NOUN
ejpam-3492	22	8	reserved	reserve	VERB
ejpam-3492	22	9	.	.	PUNCT
ejpam-3492	23	1	m.	m.	PROPN
ejpam-3492	23	2	w.	w.	PROPN
ejpam-3492	23	3	hirsch	hirsch	PROPN
ejpam-3492	23	4	/	/	SYM
ejpam-3492	23	5	eur	eur	PROPN
ejpam-3492	23	6	.	.	PUNCT
ejpam-3492	24	1	j.	j.	PROPN
ejpam-3492	24	2	pure	pure	PROPN
ejpam-3492	24	3	appl	appl	PROPN
ejpam-3492	24	4	.	.	PROPN
ejpam-3492	24	5	math	math	PROPN
ejpam-3492	24	6	,	,	PUNCT
ejpam-3492	24	7	12	12	NUM
ejpam-3492	24	8	(	(	PUNCT
ejpam-3492	24	9	3	3	NUM
ejpam-3492	24	10	)	)	PUNCT
ejpam-3492	24	11	(	(	PUNCT
ejpam-3492	24	12	2019	2019	NUM
ejpam-3492	24	13	)	)	PUNCT
ejpam-3492	24	14	,	,	PUNCT
ejpam-3492	24	15	680	680	NUM
ejpam-3492	24	16	-	-	SYM
ejpam-3492	24	17	688	688	NUM
ejpam-3492	24	18	681	681	NUM
ejpam-3492	24	19	lim	lim	PROPN
ejpam-3492	24	20	k→∞	k→∞	NOUN
ejpam-3492	24	21	dist	dist	PROPN
ejpam-3492	24	22	(	(	PUNCT
ejpam-3492	24	23	t	t	PROPN
ejpam-3492	24	24	ky	ky	PROPN
ejpam-3492	24	25	,	,	PUNCT
ejpam-3492	24	26	a	a	PRON
ejpam-3492	24	27	)	)	PUNCT
ejpam-3492	24	28	=	=	SYM
ejpam-3492	24	29	0	0	X
ejpam-3492	24	30	.	.	PUNCT
ejpam-3492	25	1	(	(	PUNCT
ejpam-3492	25	2	1	1	X
ejpam-3492	25	3	)	)	PUNCT
ejpam-3492	25	4	we	we	PRON
ejpam-3492	25	5	call	call	VERB
ejpam-3492	25	6	a	a	DET
ejpam-3492	25	7	an	an	DET
ejpam-3492	25	8	attractor	attractor	NOUN
ejpam-3492	25	9	provided	provide	VERB
ejpam-3492	25	10	:	:	PUNCT
ejpam-3492	25	11	•	•	ADP
ejpam-3492	25	12	a	a	PRON
ejpam-3492	25	13	is	be	AUX
ejpam-3492	25	14	compact	compact	ADJ
ejpam-3492	25	15	and	and	CCONJ
ejpam-3492	25	16	nonempty	nonempty	NOUN
ejpam-3492	25	17	,	,	PUNCT
ejpam-3492	25	18	•	•	ADP
ejpam-3492	25	19	t	t	PROPN
ejpam-3492	25	20	a	a	DET
ejpam-3492	25	21	⊂	⊂	PROPN
ejpam-3492	25	22	a	a	X
ejpam-3492	25	23	,	,	PUNCT
ejpam-3492	25	24	•	•	NOUN
ejpam-3492	25	25	a	a	PRON
ejpam-3492	25	26	attracts	attract	VERB
ejpam-3492	25	27	every	every	DET
ejpam-3492	25	28	point	point	NOUN
ejpam-3492	25	29	in	in	ADP
ejpam-3492	25	30	some	some	DET
ejpam-3492	25	31	neighborhood	neighborhood	NOUN
ejpam-3492	25	32	of	of	ADP
ejpam-3492	25	33	a.	a.	NOUN
ejpam-3492	25	34	it	it	PRON
ejpam-3492	25	35	follows	follow	VERB
ejpam-3492	25	36	that	that	SCONJ
ejpam-3492	25	37	the	the	DET
ejpam-3492	25	38	set	set	NOUN
ejpam-3492	25	39	of	of	ADP
ejpam-3492	25	40	points	point	NOUN
ejpam-3492	25	41	attracted	attract	VERB
ejpam-3492	25	42	to	to	ADP
ejpam-3492	25	43	a	a	PRON
ejpam-3492	25	44	is	be	AUX
ejpam-3492	25	45	an	an	DET
ejpam-3492	25	46	open	open	ADJ
ejpam-3492	25	47	neighborhood	neighborhood	NOUN
ejpam-3492	25	48	n	n	NOUN
ejpam-3492	25	49	of	of	ADP
ejpam-3492	25	50	a	a	DET
ejpam-3492	25	51	such	such	ADJ
ejpam-3492	25	52	that	that	SCONJ
ejpam-3492	25	53	a	a	DET
ejpam-3492	25	54	⊂	⊂	PROPN
ejpam-3492	25	55	t	t	PROPN
ejpam-3492	25	56	n	n	PROPN
ejpam-3492	25	57	⊂	⊂	PROPN
ejpam-3492	25	58	n.	n.	NOUN
ejpam-3492	25	59	we	we	PRON
ejpam-3492	25	60	call	call	VERB
ejpam-3492	25	61	a	a	DET
ejpam-3492	25	62	a	a	DET
ejpam-3492	25	63	global	global	ADJ
ejpam-3492	25	64	attractor	attractor	NOUN
ejpam-3492	25	65	if	if	SCONJ
ejpam-3492	25	66	it	it	PRON
ejpam-3492	25	67	attracts	attract	VERB
ejpam-3492	25	68	every	every	DET
ejpam-3492	25	69	point	point	NOUN
ejpam-3492	25	70	of	of	ADP
ejpam-3492	25	71	y	y	PROPN
ejpam-3492	25	72	.	.	PUNCT
ejpam-3492	26	1	1.2	1.2	NUM
ejpam-3492	26	2	.	.	PUNCT
ejpam-3492	26	3	chaotic	chaotic	ADJ
ejpam-3492	26	4	dynamics	dynamic	NOUN
ejpam-3492	26	5	the	the	DET
ejpam-3492	26	6	hallmark	hallmark	NOUN
ejpam-3492	26	7	of	of	ADP
ejpam-3492	26	8	a	a	DET
ejpam-3492	26	9	chaotic	chaotic	ADJ
ejpam-3492	26	10	dynamical	dynamical	ADJ
ejpam-3492	26	11	system	system	NOUN
ejpam-3492	26	12	is	be	AUX
ejpam-3492	26	13	this	this	PRON
ejpam-3492	26	14	:	:	PUNCT
ejpam-3492	26	15	sensitivity	sensitivity	NOUN
ejpam-3492	26	16	to	to	ADP
ejpam-3492	26	17	initial	initial	ADJ
ejpam-3492	26	18	conditions	condition	NOUN
ejpam-3492	26	19	:	:	PUNCT
ejpam-3492	26	20	there	there	PRON
ejpam-3492	26	21	exists	exist	VERB
ejpam-3492	26	22	δ	δ	PROPN
ejpam-3492	26	23	>	>	X
ejpam-3492	26	24	0	0	PUNCT
ejpam-3492	27	1	with	with	ADP
ejpam-3492	27	2	the	the	DET
ejpam-3492	27	3	following	follow	VERB
ejpam-3492	27	4	property	property	NOUN
ejpam-3492	27	5	:	:	PUNCT
ejpam-3492	27	6	if	if	SCONJ
ejpam-3492	27	7	x	x	X
ejpam-3492	27	8	,	,	PUNCT
ejpam-3492	27	9	y	y	PROPN
ejpam-3492	27	10	are	be	AUX
ejpam-3492	27	11	distinct	distinct	ADJ
ejpam-3492	27	12	initial	initial	ADJ
ejpam-3492	27	13	states	state	NOUN
ejpam-3492	27	14	,	,	PUNCT
ejpam-3492	27	15	there	there	PRON
ejpam-3492	27	16	exists	exist	VERB
ejpam-3492	27	17	a	a	DET
ejpam-3492	27	18	time	time	NOUN
ejpam-3492	27	19	t	t	X
ejpam-3492	27	20	>	>	X
ejpam-3492	27	21	0	0	NUM
ejpam-3492	28	1	such	such	ADJ
ejpam-3492	28	2	that	that	SCONJ
ejpam-3492	28	3	the	the	DET
ejpam-3492	28	4	corresponding	corresponding	ADJ
ejpam-3492	28	5	future	future	ADJ
ejpam-3492	28	6	states	state	NOUN
ejpam-3492	28	7	satisfy	satisfy	VERB
ejpam-3492	28	8	:	:	PUNCT
ejpam-3492	29	1	d	d	X
ejpam-3492	29	2	(	(	PUNCT
ejpam-3492	29	3	x(t	x(t	PROPN
ejpam-3492	29	4	)	)	PUNCT
ejpam-3492	29	5	,	,	PUNCT
ejpam-3492	29	6	y(t	y(t	NOUN
ejpam-3492	29	7	)	)	PUNCT
ejpam-3492	29	8	)	)	PUNCT
ejpam-3492	29	9	>	>	X
ejpam-3492	30	1	δ	δ	PROPN
ejpam-3492	30	2	.	.	PUNCT
ejpam-3492	31	1	when	when	SCONJ
ejpam-3492	31	2	such	such	DET
ejpam-3492	31	3	a	a	DET
ejpam-3492	31	4	dynamical	dynamical	ADJ
ejpam-3492	31	5	system	system	NOUN
ejpam-3492	31	6	is	be	AUX
ejpam-3492	31	7	used	use	VERB
ejpam-3492	31	8	to	to	PART
ejpam-3492	31	9	model	model	VERB
ejpam-3492	31	10	the	the	DET
ejpam-3492	31	11	evolution	evolution	NOUN
ejpam-3492	31	12	of	of	ADP
ejpam-3492	31	13	a	a	DET
ejpam-3492	31	14	natural	natural	ADJ
ejpam-3492	31	15	system	system	NOUN
ejpam-3492	31	16	,	,	PUNCT
ejpam-3492	31	17	(	(	PUNCT
ejpam-3492	31	18	e.g.	e.g.	ADV
ejpam-3492	31	19	,	,	PUNCT
ejpam-3492	31	20	the	the	DET
ejpam-3492	31	21	atmosphere	atmosphere	NOUN
ejpam-3492	31	22	,	,	PUNCT
ejpam-3492	31	23	an	an	DET
ejpam-3492	31	24	economy	economy	NOUN
ejpam-3492	31	25	,	,	PUNCT
ejpam-3492	31	26	an	an	DET
ejpam-3492	31	27	ecology	ecology	NOUN
ejpam-3492	31	28	,	,	PUNCT
ejpam-3492	31	29	a	a	DET
ejpam-3492	31	30	disease	disease	NOUN
ejpam-3492	31	31	)	)	PUNCT
ejpam-3492	31	32	,	,	PUNCT
ejpam-3492	31	33	accurate	accurate	ADJ
ejpam-3492	31	34	long	long	ADJ
ejpam-3492	31	35	-	-	PUNCT
ejpam-3492	31	36	term	term	NOUN
ejpam-3492	31	37	predictions	prediction	NOUN
ejpam-3492	31	38	are	be	AUX
ejpam-3492	31	39	not	not	PART
ejpam-3492	31	40	possible	possible	ADJ
ejpam-3492	31	41	.	.	PUNCT
ejpam-3492	32	1	this	this	PRON
ejpam-3492	32	2	was	be	AUX
ejpam-3492	32	3	discovered	discover	VERB
ejpam-3492	32	4	by	by	ADP
ejpam-3492	32	5	the	the	DET
ejpam-3492	32	6	meteorologist	meteorologist	NOUN
ejpam-3492	32	7	edward	edward	PROPN
ejpam-3492	32	8	lorenz	lorenz	PROPN
ejpam-3492	32	9	in	in	ADP
ejpam-3492	32	10	his	his	PRON
ejpam-3492	32	11	seminal	seminal	ADJ
ejpam-3492	32	12	1963	1963	NUM
ejpam-3492	32	13	article	article	NOUN
ejpam-3492	32	14	,	,	PUNCT
ejpam-3492	32	15	“	"	PUNCT
ejpam-3492	32	16	deterministic	deterministic	ADJ
ejpam-3492	32	17	non	non	ADJ
ejpam-3492	32	18	-	-	ADJ
ejpam-3492	32	19	periodic	periodic	ADJ
ejpam-3492	32	20	flow	flow	NOUN
ejpam-3492	32	21	”	"	PUNCT
ejpam-3492	33	1	[	[	X
ejpam-3492	33	2	26	26	NUM
ejpam-3492	33	3	]	]	PUNCT
ejpam-3492	33	4	.	.	PUNCT
ejpam-3492	34	1	after	after	ADP
ejpam-3492	34	2	drastically	drastically	ADV
ejpam-3492	34	3	simplifying	simplify	VERB
ejpam-3492	34	4	standard	standard	ADJ
ejpam-3492	34	5	equations	equation	NOUN
ejpam-3492	34	6	for	for	ADP
ejpam-3492	34	7	fluid	fluid	ADJ
ejpam-3492	34	8	flow	flow	NOUN
ejpam-3492	34	9	,	,	PUNCT
ejpam-3492	34	10	lorenz	lorenz	PROPN
ejpam-3492	34	11	arrived	arrive	VERB
ejpam-3492	34	12	at	at	ADP
ejpam-3492	34	13	the	the	DET
ejpam-3492	34	14	system	system	NOUN
ejpam-3492	34	15	of	of	ADP
ejpam-3492	34	16	differential	differential	ADJ
ejpam-3492	34	17	equations	equation	NOUN
ejpam-3492	34	18	:	:	PUNCT
ejpam-3492	34	19	ẋ	ẋ	PROPN
ejpam-3492	35	1	=	=	SYM
ejpam-3492	35	2	10(y	10(y	NUM
ejpam-3492	35	3	−	−	PROPN
ejpam-3492	35	4	z	z	NOUN
ejpam-3492	35	5	)	)	PUNCT
ejpam-3492	35	6	,	,	PUNCT
ejpam-3492	35	7	ẏ	ẏ	PROPN
ejpam-3492	35	8	=	=	SYM
ejpam-3492	35	9	28x	28x	PROPN
ejpam-3492	35	10	−	−	PROPN
ejpam-3492	35	11	y	y	PROPN
ejpam-3492	35	12	−	−	PROPN
ejpam-3492	35	13	xz	xz	PROPN
ejpam-3492	35	14	,	,	PUNCT
ejpam-3492	35	15	ż	ż	NOUN
ejpam-3492	36	1	=	=	PUNCT
ejpam-3492	36	2	xy	xy	PROPN
ejpam-3492	36	3	−	−	PROPN
ejpam-3492	37	1	(	(	PUNCT
ejpam-3492	37	2	8/3)z	8/3)z	NUM
ejpam-3492	37	3	.	.	PUNCT
ejpam-3492	38	1	(	(	PUNCT
ejpam-3492	38	2	2	2	NUM
ejpam-3492	38	3	)	)	PUNCT
ejpam-3492	38	4	despite	despite	SCONJ
ejpam-3492	38	5	the	the	DET
ejpam-3492	38	6	simple	simple	ADJ
ejpam-3492	38	7	algebraic	algebraic	ADJ
ejpam-3492	38	8	form	form	NOUN
ejpam-3492	38	9	of	of	ADP
ejpam-3492	38	10	these	these	DET
ejpam-3492	38	11	equations	equation	NOUN
ejpam-3492	38	12	,	,	PUNCT
ejpam-3492	38	13	lorenz	lorenz	PROPN
ejpam-3492	38	14	found	find	VERB
ejpam-3492	38	15	a	a	DET
ejpam-3492	38	16	disturbing	disturbing	ADJ
ejpam-3492	38	17	feature	feature	NOUN
ejpam-3492	38	18	in	in	ADP
ejpam-3492	38	19	his	his	PRON
ejpam-3492	38	20	extensive	extensive	ADJ
ejpam-3492	38	21	computations	computation	NOUN
ejpam-3492	38	22	of	of	ADP
ejpam-3492	38	23	solutions	solution	NOUN
ejpam-3492	38	24	:	:	PUNCT
ejpam-3492	38	25	“	"	PUNCT
ejpam-3492	38	26	.	.	PUNCT
ejpam-3492	38	27	.	.	PUNCT
ejpam-3492	39	1	.	.	PUNCT
ejpam-3492	40	1	two	two	NUM
ejpam-3492	40	2	states	state	NOUN
ejpam-3492	40	3	differing	differ	VERB
ejpam-3492	40	4	by	by	ADP
ejpam-3492	40	5	imperceptible	imperceptible	ADJ
ejpam-3492	40	6	amounts	amount	NOUN
ejpam-3492	40	7	may	may	AUX
ejpam-3492	40	8	eventually	eventually	ADV
ejpam-3492	40	9	evolve	evolve	VERB
ejpam-3492	40	10	into	into	ADP
ejpam-3492	40	11	two	two	NUM
ejpam-3492	40	12	considerably	considerably	ADV
ejpam-3492	40	13	different	different	ADJ
ejpam-3492	40	14	states	state	NOUN
ejpam-3492	40	15	.	.	PUNCT
ejpam-3492	41	1	if	if	SCONJ
ejpam-3492	41	2	,	,	PUNCT
ejpam-3492	41	3	then	then	ADV
ejpam-3492	41	4	,	,	PUNCT
ejpam-3492	41	5	there	there	PRON
ejpam-3492	41	6	is	be	VERB
ejpam-3492	41	7	any	any	DET
ejpam-3492	41	8	error	error	NOUN
ejpam-3492	41	9	whatever	whatever	PRON
ejpam-3492	41	10	in	in	ADP
ejpam-3492	41	11	observing	observe	VERB
ejpam-3492	41	12	the	the	DET
ejpam-3492	41	13	present	present	ADJ
ejpam-3492	41	14	state	state	NOUN
ejpam-3492	41	15	—	—	PUNCT
ejpam-3492	41	16	and	and	CCONJ
ejpam-3492	41	17	in	in	ADP
ejpam-3492	41	18	any	any	DET
ejpam-3492	41	19	real	real	ADJ
ejpam-3492	41	20	system	system	NOUN
ejpam-3492	41	21	such	such	ADJ
ejpam-3492	41	22	errors	error	NOUN
ejpam-3492	41	23	seem	seem	VERB
ejpam-3492	41	24	inevitable	inevitable	ADJ
ejpam-3492	41	25	—	—	PUNCT
ejpam-3492	41	26	an	an	DET
ejpam-3492	41	27	acceptable	acceptable	ADJ
ejpam-3492	41	28	prediction	prediction	NOUN
ejpam-3492	41	29	of	of	ADP
ejpam-3492	41	30	an	an	DET
ejpam-3492	41	31	instantaneous	instantaneous	ADJ
ejpam-3492	41	32	state	state	NOUN
ejpam-3492	41	33	in	in	ADP
ejpam-3492	41	34	the	the	DET
ejpam-3492	41	35	distant	distant	ADJ
ejpam-3492	41	36	future	future	NOUN
ejpam-3492	41	37	may	may	AUX
ejpam-3492	41	38	well	well	ADV
ejpam-3492	41	39	be	be	AUX
ejpam-3492	41	40	impossible	impossible	ADJ
ejpam-3492	41	41	.	.	PUNCT
ejpam-3492	41	42	”	"	PUNCT
ejpam-3492	42	1	this	this	DET
ejpam-3492	42	2	unexpected	unexpected	ADJ
ejpam-3492	42	3	problem	problem	NOUN
ejpam-3492	42	4	for	for	ADP
ejpam-3492	42	5	applied	applied	ADJ
ejpam-3492	42	6	dynamics	dynamic	NOUN
ejpam-3492	42	7	inspired	inspire	VERB
ejpam-3492	42	8	a	a	DET
ejpam-3492	42	9	great	great	ADJ
ejpam-3492	42	10	many	many	ADJ
ejpam-3492	42	11	publications	publication	NOUN
ejpam-3492	42	12	analyzing	analyze	VERB
ejpam-3492	42	13	it	it	PRON
ejpam-3492	42	14	from	from	ADP
ejpam-3492	42	15	various	various	ADJ
ejpam-3492	42	16	points	point	NOUN
ejpam-3492	42	17	of	of	ADP
ejpam-3492	42	18	view	view	NOUN
ejpam-3492	42	19	.	.	PUNCT
ejpam-3492	43	1	the	the	DET
ejpam-3492	43	2	first	first	ADJ
ejpam-3492	43	3	mathematical	mathematical	ADJ
ejpam-3492	43	4	proof	proof	NOUN
ejpam-3492	43	5	of	of	ADP
ejpam-3492	43	6	lorenz	lorenz	PROPN
ejpam-3492	43	7	’s	’s	PART
ejpam-3492	43	8	numerical	numerical	PROPN
ejpam-3492	43	9	discovery	discovery	PROPN
ejpam-3492	43	10	,	,	PUNCT
ejpam-3492	43	11	computer	computer	NOUN
ejpam-3492	43	12	-	-	PUNCT
ejpam-3492	43	13	assisted	assist	VERB
ejpam-3492	43	14	but	but	CCONJ
ejpam-3492	43	15	rigorous	rigorous	ADJ
ejpam-3492	43	16	,	,	PUNCT
ejpam-3492	43	17	is	be	AUX
ejpam-3492	43	18	due	due	ADJ
ejpam-3492	43	19	to	to	ADP
ejpam-3492	43	20	w.	w.	PROPN
ejpam-3492	43	21	tucker	tucker	PROPN
ejpam-3492	44	1	[	[	X
ejpam-3492	44	2	41	41	NUM
ejpam-3492	44	3	]	]	PUNCT
ejpam-3492	44	4	.	.	PUNCT
ejpam-3492	45	1	for	for	ADP
ejpam-3492	45	2	interesting	interesting	ADJ
ejpam-3492	45	3	discussions	discussion	NOUN
ejpam-3492	45	4	of	of	ADP
ejpam-3492	45	5	this	this	DET
ejpam-3492	45	6	work	work	NOUN
ejpam-3492	45	7	,	,	PUNCT
ejpam-3492	45	8	see	see	VERB
ejpam-3492	45	9	i.	i.	PROPN
ejpam-3492	45	10	stewart	stewart	PROPN
ejpam-3492	46	1	[	[	X
ejpam-3492	46	2	36	36	NUM
ejpam-3492	46	3	]	]	PUNCT
ejpam-3492	46	4	and	and	CCONJ
ejpam-3492	46	5	m.	m.	PROPN
ejpam-3492	46	6	viana	viana	PROPN
ejpam-3492	46	7	[	[	X
ejpam-3492	46	8	42	42	NUM
ejpam-3492	46	9	]	]	PUNCT
ejpam-3492	46	10	.	.	PUNCT
ejpam-3492	47	1	r.	r.	PROPN
ejpam-3492	47	2	devaney	devaney	PROPN
ejpam-3492	48	1	[	[	X
ejpam-3492	48	2	7	7	NUM
ejpam-3492	48	3	,	,	PUNCT
ejpam-3492	48	4	p.324	p.324	ADV
ejpam-3492	48	5	]	]	PUNCT
ejpam-3492	48	6	validated	validated	PROPN
ejpam-3492	48	7	lorenz	lorenz	PROPN
ejpam-3492	48	8	’s	’s	PART
ejpam-3492	48	9	conclusions	conclusion	NOUN
ejpam-3492	48	10	dynamically	dynamically	ADV
ejpam-3492	48	11	by	by	ADP
ejpam-3492	48	12	constructing	construct	VERB
ejpam-3492	48	13	a	a	DET
ejpam-3492	48	14	poincaré	poincaré	ADJ
ejpam-3492	48	15	(	(	PUNCT
ejpam-3492	48	16	or	or	CCONJ
ejpam-3492	48	17	“	"	PUNCT
ejpam-3492	48	18	first	first	ADJ
ejpam-3492	48	19	return	return	NOUN
ejpam-3492	48	20	”	"	PUNCT
ejpam-3492	48	21	)	)	PUNCT
ejpam-3492	48	22	map	map	NOUN
ejpam-3492	48	23	t	t	NOUN
ejpam-3492	48	24	:	:	PUNCT
ejpam-3492	48	25	c	c	PROPN
ejpam-3492	48	26	→	→	SYM
ejpam-3492	48	27	c	c	PROPN
ejpam-3492	48	28	for	for	ADP
ejpam-3492	48	29	lorenz	lorenz	PROPN
ejpam-3492	48	30	’s	’s	PART
ejpam-3492	48	31	differential	differential	ADJ
ejpam-3492	48	32	equations	equation	NOUN
ejpam-3492	48	33	(	(	PUNCT
ejpam-3492	48	34	2	2	NUM
ejpam-3492	48	35	)	)	PUNCT
ejpam-3492	48	36	,	,	PUNCT
ejpam-3492	48	37	such	such	ADJ
ejpam-3492	48	38	that	that	SCONJ
ejpam-3492	48	39	:	:	PUNCT
ejpam-3492	48	40	m.	m.	PROPN
ejpam-3492	48	41	w.	w.	PROPN
ejpam-3492	48	42	hirsch	hirsch	PROPN
ejpam-3492	48	43	/	/	SYM
ejpam-3492	48	44	eur	eur	PROPN
ejpam-3492	48	45	.	.	PUNCT
ejpam-3492	49	1	j.	j.	PROPN
ejpam-3492	49	2	pure	pure	PROPN
ejpam-3492	49	3	appl	appl	PROPN
ejpam-3492	49	4	.	.	PROPN
ejpam-3492	49	5	math	math	PROPN
ejpam-3492	49	6	,	,	PUNCT
ejpam-3492	49	7	12	12	NUM
ejpam-3492	49	8	(	(	PUNCT
ejpam-3492	49	9	3	3	NUM
ejpam-3492	49	10	)	)	PUNCT
ejpam-3492	49	11	(	(	PUNCT
ejpam-3492	49	12	2019	2019	NUM
ejpam-3492	49	13	)	)	PUNCT
ejpam-3492	49	14	,	,	PUNCT
ejpam-3492	49	15	680	680	NUM
ejpam-3492	49	16	-	-	SYM
ejpam-3492	49	17	688	688	NUM
ejpam-3492	49	18	682	682	NUM
ejpam-3492	49	19	•	•	NOUN
ejpam-3492	49	20	c	c	PROPN
ejpam-3492	49	21	⊂	⊂	PROPN
ejpam-3492	49	22	r3	r3	PROPN
ejpam-3492	49	23	is	be	AUX
ejpam-3492	49	24	an	an	DET
ejpam-3492	49	25	affine	affine	NOUN
ejpam-3492	49	26	open	open	ADJ
ejpam-3492	49	27	2	2	NUM
ejpam-3492	49	28	-	-	PUNCT
ejpam-3492	49	29	cell	cell	NOUN
ejpam-3492	49	30	,	,	PUNCT
ejpam-3492	49	31	transverse	transverse	NOUN
ejpam-3492	49	32	to	to	ADP
ejpam-3492	49	33	the	the	DET
ejpam-3492	49	34	solution	solution	NOUN
ejpam-3492	49	35	curves	curve	NOUN
ejpam-3492	49	36	of	of	ADP
ejpam-3492	49	37	(	(	PUNCT
ejpam-3492	49	38	2	2	NUM
ejpam-3492	49	39	)	)	PUNCT
ejpam-3492	49	40	.	.	PUNCT
ejpam-3492	50	1	•	•	NUM
ejpam-3492	50	2	t	t	PROPN
ejpam-3492	50	3	has	have	VERB
ejpam-3492	50	4	a	a	DET
ejpam-3492	50	5	chaotic	chaotic	ADJ
ejpam-3492	50	6	global	global	ADJ
ejpam-3492	50	7	attractor	attractor	NOUN
ejpam-3492	50	8	.	.	PUNCT
ejpam-3492	51	1	his	his	PRON
ejpam-3492	51	2	proof	proof	NOUN
ejpam-3492	51	3	is	be	AUX
ejpam-3492	51	4	based	base	VERB
ejpam-3492	51	5	on	on	ADP
ejpam-3492	51	6	estimates	estimate	NOUN
ejpam-3492	51	7	derived	derive	VERB
ejpam-3492	51	8	from	from	ADP
ejpam-3492	51	9	(	(	PUNCT
ejpam-3492	51	10	2	2	NUM
ejpam-3492	51	11	)	)	PUNCT
ejpam-3492	51	12	by	by	ADP
ejpam-3492	51	13	simple	simple	ADJ
ejpam-3492	51	14	algebra	algebra	NOUN
ejpam-3492	51	15	.	.	PUNCT
ejpam-3492	52	1	r.	r.	PROPN
ejpam-3492	52	2	williams	williams	PROPN
ejpam-3492	53	1	[	[	X
ejpam-3492	53	2	43	43	NUM
ejpam-3492	53	3	]	]	PUNCT
ejpam-3492	53	4	showed	show	VERB
ejpam-3492	53	5	that	that	SCONJ
ejpam-3492	53	6	lorenz	lorenz	PROPN
ejpam-3492	53	7	’s	’s	PART
ejpam-3492	53	8	attractor	attractor	NOUN
ejpam-3492	53	9	is	be	AUX
ejpam-3492	53	10	structurally	structurally	ADV
ejpam-3492	53	11	stable	stable	ADJ
ejpam-3492	53	12	,	,	PUNCT
ejpam-3492	53	13	which	which	PRON
ejpam-3492	53	14	means	mean	VERB
ejpam-3492	53	15	that	that	SCONJ
ejpam-3492	53	16	all	all	DET
ejpam-3492	53	17	sufficiently	sufficiently	ADV
ejpam-3492	53	18	small	small	ADJ
ejpam-3492	53	19	perturbations	perturbation	NOUN
ejpam-3492	53	20	preserve	preserve	VERB
ejpam-3492	53	21	the	the	DET
ejpam-3492	53	22	essential	essential	ADJ
ejpam-3492	53	23	features	feature	NOUN
ejpam-3492	53	24	of	of	ADP
ejpam-3492	53	25	lorenz	lorenz	PROPN
ejpam-3492	53	26	’s	’s	PART
ejpam-3492	53	27	equation	equation	NOUN
ejpam-3492	53	28	.	.	PUNCT
ejpam-3492	54	1	the	the	DET
ejpam-3492	54	2	term	term	NOUN
ejpam-3492	54	3	“	"	PUNCT
ejpam-3492	54	4	chaos	chaos	NOUN
ejpam-3492	54	5	”	"	PUNCT
ejpam-3492	54	6	is	be	AUX
ejpam-3492	54	7	used	use	VERB
ejpam-3492	54	8	in	in	ADP
ejpam-3492	54	9	many	many	ADJ
ejpam-3492	54	10	ways	way	NOUN
ejpam-3492	54	11	in	in	ADP
ejpam-3492	54	12	mathematics	mathematic	NOUN
ejpam-3492	54	13	.	.	PUNCT
ejpam-3492	55	1	in	in	ADP
ejpam-3492	55	2	a	a	DET
ejpam-3492	55	3	widely	widely	ADV
ejpam-3492	55	4	accepted	accept	VERB
ejpam-3492	55	5	definition	definition	NOUN
ejpam-3492	55	6	,	,	PUNCT
ejpam-3492	55	7	r.	r.	PROPN
ejpam-3492	55	8	devaney	devaney	PROPN
ejpam-3492	56	1	[	[	X
ejpam-3492	56	2	6	6	NUM
ejpam-3492	56	3	]	]	PUNCT
ejpam-3492	56	4	called	call	VERB
ejpam-3492	56	5	a	a	DET
ejpam-3492	56	6	map	map	NOUN
ejpam-3492	56	7	t	t	NOUN
ejpam-3492	56	8	:	:	PUNCT
ejpam-3492	56	9	a→	a→	PUNCT
ejpam-3492	56	10	a	a	PRON
ejpam-3492	56	11	to	to	PART
ejpam-3492	56	12	be	be	AUX
ejpam-3492	56	13	chaotic	chaotic	ADJ
ejpam-3492	56	14	if	if	SCONJ
ejpam-3492	56	15	it	it	PRON
ejpam-3492	56	16	satisfies	satisfy	VERB
ejpam-3492	56	17	three	three	NUM
ejpam-3492	56	18	axioms	axiom	NOUN
ejpam-3492	56	19	:	:	PUNCT
ejpam-3492	56	20	sensitivity	sensitivity	NOUN
ejpam-3492	56	21	to	to	ADP
ejpam-3492	56	22	initial	initial	ADJ
ejpam-3492	56	23	conditions	condition	NOUN
ejpam-3492	56	24	:	:	PUNCT
ejpam-3492	56	25	there	there	PRON
ejpam-3492	56	26	exists	exist	VERB
ejpam-3492	56	27	δ	δ	PROPN
ejpam-3492	56	28	>	>	X
ejpam-3492	56	29	0	0	NUM
ejpam-3492	57	1	such	such	ADJ
ejpam-3492	57	2	that	that	SCONJ
ejpam-3492	57	3	if	if	SCONJ
ejpam-3492	57	4	x	x	X
ejpam-3492	57	5	,	,	PUNCT
ejpam-3492	57	6	y	y	PROPN
ejpam-3492	57	7	∈	∈	PROPN
ejpam-3492	57	8	a	a	PRON
ejpam-3492	57	9	are	be	AUX
ejpam-3492	57	10	distinct	distinct	ADJ
ejpam-3492	57	11	,	,	PUNCT
ejpam-3492	57	12	then	then	ADV
ejpam-3492	57	13	d(t	d(t	PROPN
ejpam-3492	57	14	kx	kx	PROPN
ejpam-3492	57	15	,	,	PUNCT
ejpam-3492	57	16	t	t	PROPN
ejpam-3492	57	17	ky	ky	PROPN
ejpam-3492	57	18	)	)	PUNCT
ejpam-3492	57	19	≥	≥	PROPN
ejpam-3492	57	20	δ	δ	PROPN
ejpam-3492	57	21	for	for	ADP
ejpam-3492	57	22	some	some	DET
ejpam-3492	57	23	k	k	PROPN
ejpam-3492	57	24	>	>	X
ejpam-3492	57	25	0	0	X
ejpam-3492	57	26	.	.	PUNCT
ejpam-3492	58	1	dense	dense	ADJ
ejpam-3492	58	2	periodic	periodic	ADJ
ejpam-3492	58	3	points	point	NOUN
ejpam-3492	58	4	:	:	PUNCT
ejpam-3492	58	5	every	every	DET
ejpam-3492	58	6	nonempty	nonempty	ADJ
ejpam-3492	58	7	open	open	ADJ
ejpam-3492	58	8	subset	subset	NOUN
ejpam-3492	58	9	of	of	ADP
ejpam-3492	58	10	y	y	PROPN
ejpam-3492	58	11	contains	contain	VERB
ejpam-3492	58	12	a	a	DET
ejpam-3492	58	13	periodic	periodic	ADJ
ejpam-3492	58	14	point	point	NOUN
ejpam-3492	58	15	.	.	PUNCT
ejpam-3492	59	1	topological	topological	ADJ
ejpam-3492	59	2	transitivity	transitivity	NOUN
ejpam-3492	59	3	:	:	PUNCT
ejpam-3492	59	4	if	if	SCONJ
ejpam-3492	59	5	u	u	PROPN
ejpam-3492	59	6	,	,	PUNCT
ejpam-3492	59	7	v	v	ADP
ejpam-3492	59	8	⊂	⊂	PROPN
ejpam-3492	59	9	a	a	PRON
ejpam-3492	59	10	are	be	AUX
ejpam-3492	59	11	nonempty	nonempty	X
ejpam-3492	59	12	open	open	ADJ
ejpam-3492	59	13	sets	set	NOUN
ejpam-3492	59	14	,	,	PUNCT
ejpam-3492	59	15	t	t	PROPN
ejpam-3492	59	16	ku	ku	PROPN
ejpam-3492	59	17	∩	∩	PROPN
ejpam-3492	59	18	t	t	PROPN
ejpam-3492	59	19	kv	kv	PROPN
ejpam-3492	59	20	,	,	PUNCT
ejpam-3492	59	21	∅	∅	NOUN
ejpam-3492	59	22	for	for	ADP
ejpam-3492	59	23	some	some	DET
ejpam-3492	59	24	k	k	PROPN
ejpam-3492	59	25	≥	≥	NOUN
ejpam-3492	59	26	0	0	NUM
ejpam-3492	59	27	.	.	PUNCT
ejpam-3492	60	1	topological	topological	ADJ
ejpam-3492	60	2	transitivity	transitivity	NOUN
ejpam-3492	60	3	holds	hold	VERB
ejpam-3492	60	4	if	if	SCONJ
ejpam-3492	60	5	some	some	DET
ejpam-3492	60	6	orbit	orbit	NOUN
ejpam-3492	60	7	is	be	AUX
ejpam-3492	60	8	dense	dense	ADJ
ejpam-3492	60	9	,	,	PUNCT
ejpam-3492	60	10	and	and	CCONJ
ejpam-3492	60	11	the	the	DET
ejpam-3492	60	12	converse	converse	NOUN
ejpam-3492	60	13	is	be	AUX
ejpam-3492	60	14	proved	prove	VERB
ejpam-3492	60	15	in	in	ADP
ejpam-3492	60	16	the	the	DET
ejpam-3492	60	17	results	result	NOUN
ejpam-3492	60	18	section	section	NOUN
ejpam-3492	60	19	.	.	PUNCT
ejpam-3492	61	1	in	in	ADP
ejpam-3492	61	2	order	order	NOUN
ejpam-3492	61	3	to	to	PART
ejpam-3492	61	4	avoid	avoid	VERB
ejpam-3492	61	5	trivialities	triviality	NOUN
ejpam-3492	61	6	,	,	PUNCT
ejpam-3492	61	7	i	i	PRON
ejpam-3492	61	8	add	add	VERB
ejpam-3492	61	9	a	a	DET
ejpam-3492	61	10	fourth	fourth	ADJ
ejpam-3492	61	11	axiom:∗	axiom:∗	ADJ
ejpam-3492	61	12	nonfiniteness	nonfiniteness	NOUN
ejpam-3492	61	13	:	:	PUNCT
ejpam-3492	61	14	a	a	PRON
ejpam-3492	61	15	is	be	AUX
ejpam-3492	61	16	not	not	PART
ejpam-3492	61	17	a	a	DET
ejpam-3492	61	18	finite	finite	ADJ
ejpam-3492	61	19	orbit	orbit	NOUN
ejpam-3492	61	20	.	.	PUNCT
ejpam-3492	62	1	when	when	SCONJ
ejpam-3492	62	2	all	all	DET
ejpam-3492	62	3	four	four	NUM
ejpam-3492	62	4	axioms	axiom	NOUN
ejpam-3492	62	5	are	be	AUX
ejpam-3492	62	6	satisfied	satisfied	ADJ
ejpam-3492	62	7	,	,	PUNCT
ejpam-3492	62	8	a	a	PRON
ejpam-3492	62	9	and	and	CCONJ
ejpam-3492	62	10	t	t	PROPN
ejpam-3492	62	11	are	be	AUX
ejpam-3492	62	12	chaotic	chaotic	ADJ
ejpam-3492	62	13	.	.	PUNCT
ejpam-3492	63	1	1.3	1.3	NUM
ejpam-3492	63	2	.	.	PUNCT
ejpam-3492	63	3	remarks	remark	VERB
ejpam-3492	63	4	•	•	NUM
ejpam-3492	64	1	p.	p.	NOUN
ejpam-3492	64	2	touhey	touhey	PRON
ejpam-3492	65	1	[	[	X
ejpam-3492	65	2	38	38	NUM
ejpam-3492	65	3	]	]	PUNCT
ejpam-3492	65	4	found	find	VERB
ejpam-3492	65	5	a	a	DET
ejpam-3492	65	6	remarkably	remarkably	ADV
ejpam-3492	65	7	simple	simple	ADJ
ejpam-3492	65	8	condition	condition	NOUN
ejpam-3492	65	9	equivalent	equivalent	ADJ
ejpam-3492	65	10	to	to	ADP
ejpam-3492	65	11	devaney	devaney	PROPN
ejpam-3492	65	12	’s	’s	PART
ejpam-3492	65	13	definition	definition	NOUN
ejpam-3492	65	14	:	:	PUNCT
ejpam-3492	65	15	sharing	sharing	NOUN
ejpam-3492	65	16	of	of	ADP
ejpam-3492	65	17	periodic	periodic	ADJ
ejpam-3492	65	18	orbits	orbit	NOUN
ejpam-3492	65	19	:	:	PUNCT
ejpam-3492	65	20	every	every	DET
ejpam-3492	65	21	pair	pair	NOUN
ejpam-3492	65	22	of	of	ADP
ejpam-3492	65	23	nonempty	nonempty	X
ejpam-3492	65	24	open	open	ADJ
ejpam-3492	65	25	sets	set	NOUN
ejpam-3492	65	26	have	have	VERB
ejpam-3492	65	27	a	a	DET
ejpam-3492	65	28	periodic	periodic	ADJ
ejpam-3492	65	29	point	point	NOUN
ejpam-3492	65	30	in	in	ADP
ejpam-3492	65	31	common	common	ADJ
ejpam-3492	65	32	.	.	PUNCT
ejpam-3492	66	1	•	•	NUM
ejpam-3492	66	2	sensitivity	sensitivity	NOUN
ejpam-3492	66	3	to	to	ADP
ejpam-3492	66	4	initial	initial	ADJ
ejpam-3492	66	5	conditions	condition	NOUN
ejpam-3492	66	6	follows	follow	VERB
ejpam-3492	66	7	from	from	ADP
ejpam-3492	66	8	devaney	devaney	PROPN
ejpam-3492	66	9	’s	’s	PART
ejpam-3492	66	10	other	other	ADJ
ejpam-3492	66	11	two	two	NUM
ejpam-3492	66	12	axioms	axiom	NOUN
ejpam-3492	66	13	(	(	PUNCT
ejpam-3492	66	14	silverman	silverman	NOUN
ejpam-3492	66	15	[	[	X
ejpam-3492	66	16	29	29	NUM
ejpam-3492	66	17	]	]	PUNCT
ejpam-3492	66	18	)	)	PUNCT
ejpam-3492	66	19	,	,	PUNCT
ejpam-3492	66	20	so	so	CCONJ
ejpam-3492	66	21	it	it	PRON
ejpam-3492	66	22	is	be	AUX
ejpam-3492	66	23	independent	independent	ADJ
ejpam-3492	66	24	of	of	ADP
ejpam-3492	66	25	the	the	DET
ejpam-3492	66	26	metric	metric	NOUN
ejpam-3492	66	27	.	.	PUNCT
ejpam-3492	67	1	•	•	NOUN
ejpam-3492	67	2	in	in	ADP
ejpam-3492	67	3	most	most	ADJ
ejpam-3492	67	4	applications	application	NOUN
ejpam-3492	67	5	y	y	PROPN
ejpam-3492	67	6	is	be	AUX
ejpam-3492	67	7	a	a	DET
ejpam-3492	67	8	complete	complete	ADJ
ejpam-3492	67	9	,	,	PUNCT
ejpam-3492	67	10	separable	separable	ADJ
ejpam-3492	67	11	metric	metric	ADJ
ejpam-3492	67	12	space	space	NOUN
ejpam-3492	67	13	.	.	PUNCT
ejpam-3492	68	1	in	in	ADP
ejpam-3492	68	2	this	this	DET
ejpam-3492	68	3	case	case	NOUN
ejpam-3492	68	4	the	the	DET
ejpam-3492	68	5	baire	baire	NOUN
ejpam-3492	68	6	category	category	NOUN
ejpam-3492	68	7	theorem	theorem	NOUN
ejpam-3492	68	8	can	can	AUX
ejpam-3492	68	9	be	be	AUX
ejpam-3492	68	10	used	use	VERB
ejpam-3492	68	11	to	to	PART
ejpam-3492	68	12	show	show	VERB
ejpam-3492	68	13	that	that	SCONJ
ejpam-3492	68	14	topological	topological	ADJ
ejpam-3492	68	15	transitivity	transitivity	NOUN
ejpam-3492	68	16	is	be	AUX
ejpam-3492	68	17	equivalent	equivalent	ADJ
ejpam-3492	68	18	to	to	ADP
ejpam-3492	68	19	existence	existence	NOUN
ejpam-3492	68	20	of	of	ADP
ejpam-3492	68	21	dense	dense	ADJ
ejpam-3492	68	22	orbit	orbit	NOUN
ejpam-3492	68	23	(	(	PUNCT
ejpam-3492	68	24	stated	state	VERB
ejpam-3492	68	25	in	in	ADP
ejpam-3492	68	26	devaney	devaney	PROPN
ejpam-3492	69	1	[	[	X
ejpam-3492	69	2	6	6	NUM
ejpam-3492	69	3	]	]	PUNCT
ejpam-3492	69	4	)	)	PUNCT
ejpam-3492	69	5	.	.	PUNCT
ejpam-3492	70	1	a	a	DET
ejpam-3492	70	2	proof	proof	NOUN
ejpam-3492	70	3	for	for	ADP
ejpam-3492	70	4	y	y	PROPN
ejpam-3492	70	5	compact	compact	PROPN
ejpam-3492	70	6	is	be	AUX
ejpam-3492	70	7	given	give	VERB
ejpam-3492	70	8	in	in	ADP
ejpam-3492	70	9	the	the	DET
ejpam-3492	70	10	results	result	NOUN
ejpam-3492	70	11	section	section	NOUN
ejpam-3492	70	12	.	.	PUNCT
ejpam-3492	71	1	for	for	ADP
ejpam-3492	71	2	some	some	DET
ejpam-3492	71	3	other	other	ADJ
ejpam-3492	71	4	approaches	approach	NOUN
ejpam-3492	71	5	to	to	PART
ejpam-3492	71	6	chaos	chaos	VERB
ejpam-3492	71	7	,	,	PUNCT
ejpam-3492	71	8	see	see	VERB
ejpam-3492	71	9	[	[	X
ejpam-3492	71	10	4	4	NUM
ejpam-3492	71	11	,	,	PUNCT
ejpam-3492	71	12	11	11	NUM
ejpam-3492	71	13	,	,	PUNCT
ejpam-3492	71	14	22	22	NUM
ejpam-3492	71	15	,	,	PUNCT
ejpam-3492	71	16	23	23	NUM
ejpam-3492	71	17	,	,	PUNCT
ejpam-3492	71	18	37	37	NUM
ejpam-3492	71	19	,	,	PUNCT
ejpam-3492	71	20	43	43	NUM
ejpam-3492	71	21	]	]	PUNCT
ejpam-3492	71	22	.	.	PUNCT
ejpam-3492	72	1	our	our	PRON
ejpam-3492	72	2	main	main	ADJ
ejpam-3492	72	3	result	result	NOUN
ejpam-3492	72	4	,	,	PUNCT
ejpam-3492	72	5	theorem	theorem	VERB
ejpam-3492	72	6	2	2	NUM
ejpam-3492	72	7	below	below	ADV
ejpam-3492	72	8	,	,	PUNCT
ejpam-3492	72	9	shows	show	VERB
ejpam-3492	72	10	that	that	SCONJ
ejpam-3492	72	11	:	:	PUNCT
ejpam-3492	72	12	monotone	monotone	ADJ
ejpam-3492	72	13	maps	map	NOUN
ejpam-3492	72	14	in	in	ADP
ejpam-3492	72	15	strongly	strongly	ADV
ejpam-3492	72	16	ordered	order	VERB
ejpam-3492	72	17	spaces	space	NOUN
ejpam-3492	72	18	do	do	AUX
ejpam-3492	72	19	not	not	PART
ejpam-3492	72	20	have	have	VERB
ejpam-3492	72	21	chaotic	chaotic	ADJ
ejpam-3492	72	22	attractors	attractor	NOUN
ejpam-3492	72	23	.	.	PUNCT
ejpam-3492	73	1	∗suggested	∗suggeste	VERB
ejpam-3492	73	2	by	by	ADP
ejpam-3492	73	3	devaney	devaney	PROPN
ejpam-3492	74	1	[	[	X
ejpam-3492	74	2	8	8	NUM
ejpam-3492	74	3	]	]	PUNCT
ejpam-3492	74	4	.	.	PUNCT
ejpam-3492	75	1	m.	m.	PROPN
ejpam-3492	75	2	w.	w.	PROPN
ejpam-3492	75	3	hirsch	hirsch	PROPN
ejpam-3492	75	4	/	/	SYM
ejpam-3492	75	5	eur	eur	PROPN
ejpam-3492	75	6	.	.	PUNCT
ejpam-3492	76	1	j.	j.	PROPN
ejpam-3492	76	2	pure	pure	PROPN
ejpam-3492	76	3	appl	appl	PROPN
ejpam-3492	76	4	.	.	PROPN
ejpam-3492	76	5	math	math	PROPN
ejpam-3492	76	6	,	,	PUNCT
ejpam-3492	76	7	12	12	NUM
ejpam-3492	76	8	(	(	PUNCT
ejpam-3492	76	9	3	3	NUM
ejpam-3492	76	10	)	)	PUNCT
ejpam-3492	76	11	(	(	PUNCT
ejpam-3492	76	12	2019	2019	NUM
ejpam-3492	76	13	)	)	PUNCT
ejpam-3492	76	14	,	,	PUNCT
ejpam-3492	76	15	680	680	NUM
ejpam-3492	76	16	-	-	SYM
ejpam-3492	76	17	688	688	NUM
ejpam-3492	76	18	683	683	NUM
ejpam-3492	76	19	1.4	1.4	NUM
ejpam-3492	76	20	.	.	PUNCT
ejpam-3492	77	1	monotone	monotone	ADJ
ejpam-3492	77	2	dynamics	dynamic	NOUN
ejpam-3492	77	3	the	the	DET
ejpam-3492	77	4	state	state	NOUN
ejpam-3492	77	5	space	space	NOUN
ejpam-3492	77	6	of	of	ADP
ejpam-3492	77	7	a	a	DET
ejpam-3492	77	8	monotone	monotone	ADJ
ejpam-3492	77	9	dynamical	dynamical	ADJ
ejpam-3492	77	10	system	system	NOUN
ejpam-3492	77	11	is	be	AUX
ejpam-3492	77	12	a	a	DET
ejpam-3492	77	13	space	space	NOUN
ejpam-3492	77	14	x	x	PUNCT
ejpam-3492	77	15	endowed	endow	VERB
ejpam-3492	77	16	with	with	ADP
ejpam-3492	77	17	a	a	DET
ejpam-3492	77	18	(	(	PUNCT
ejpam-3492	77	19	partial	partial	ADJ
ejpam-3492	77	20	)	)	PUNCT
ejpam-3492	77	21	order	order	NOUN
ejpam-3492	77	22	denoted	denote	VERB
ejpam-3492	77	23	by	by	ADP
ejpam-3492	77	24	�	�	PROPN
ejpam-3492	77	25	.	.	PUNCT
ejpam-3492	78	1	the	the	DET
ejpam-3492	78	2	set	set	NOUN
ejpam-3492	78	3	{	{	PUNCT
ejpam-3492	78	4	(	(	PUNCT
ejpam-3492	78	5	x	x	NOUN
ejpam-3492	78	6	,	,	PUNCT
ejpam-3492	78	7	y	y	NOUN
ejpam-3492	78	8	)	)	PUNCT
ejpam-3492	78	9	∈	∈	PROPN
ejpam-3492	78	10	x	x	X
ejpam-3492	78	11	×	×	NOUN
ejpam-3492	78	12	x	x	X
ejpam-3492	78	13	:	:	PUNCT
ejpam-3492	78	14	x	x	SYM
ejpam-3492	78	15	�	�	PROPN
ejpam-3492	78	16	y	y	PROPN
ejpam-3492	78	17	}	}	PUNCT
ejpam-3492	78	18	is	be	AUX
ejpam-3492	78	19	assumed	assume	VERB
ejpam-3492	78	20	to	to	PART
ejpam-3492	78	21	be	be	AUX
ejpam-3492	78	22	closed	close	VERB
ejpam-3492	78	23	.	.	PUNCT
ejpam-3492	79	1	a	a	DET
ejpam-3492	79	2	map	map	NOUN
ejpam-3492	79	3	t	t	NOUN
ejpam-3492	79	4	between	between	ADP
ejpam-3492	79	5	ordered	order	VERB
ejpam-3492	79	6	spaces	space	NOUN
ejpam-3492	79	7	is	be	AUX
ejpam-3492	79	8	monotone	monotone	ADJ
ejpam-3492	79	9	provided	provide	VERB
ejpam-3492	79	10	x	x	PUNCT
ejpam-3492	79	11	�	�	PROPN
ejpam-3492	79	12	y	y	PROPN
ejpam-3492	79	13	=	=	PROPN
ejpam-3492	79	14	⇒	⇒	PROPN
ejpam-3492	79	15	t	t	PROPN
ejpam-3492	79	16	x	x	SYM
ejpam-3492	79	17	�	�	PROPN
ejpam-3492	80	1	ty	ty	NUM
ejpam-3492	80	2	.	.	PUNCT
ejpam-3492	81	1	we	we	PRON
ejpam-3492	81	2	use	use	VERB
ejpam-3492	81	3	the	the	DET
ejpam-3492	81	4	standard	standard	ADJ
ejpam-3492	81	5	notation	notation	NOUN
ejpam-3492	81	6	:	:	PUNCT
ejpam-3492	81	7	x	x	SYM
ejpam-3492	81	8	≺	≺	NOUN
ejpam-3492	81	9	y	y	PROPN
ejpam-3492	81	10	⇐	⇐	ADJ
ejpam-3492	81	11	⇒	⇒	PROPN
ejpam-3492	81	12	x	x	PUNCT
ejpam-3492	81	13	�	�	PROPN
ejpam-3492	81	14	y	y	PROPN
ejpam-3492	81	15	,	,	PUNCT
ejpam-3492	81	16	x	x	INTJ
ejpam-3492	81	17	,	,	PUNCT
ejpam-3492	81	18	y.	y.	NOUN
ejpam-3492	81	19	if	if	SCONJ
ejpam-3492	81	20	a	a	PRON
ejpam-3492	81	21	and	and	CCONJ
ejpam-3492	81	22	b	b	NOUN
ejpam-3492	81	23	are	be	AUX
ejpam-3492	81	24	sets	set	NOUN
ejpam-3492	81	25	,	,	PUNCT
ejpam-3492	81	26	a	a	DET
ejpam-3492	81	27	≺	≺	NOUN
ejpam-3492	81	28	b	b	X
ejpam-3492	81	29	⇐	⇐	ADJ
ejpam-3492	81	30	⇒	⇒	NOUN
ejpam-3492	81	31	a	a	DET
ejpam-3492	81	32	≺	≺	NOUN
ejpam-3492	81	33	b	b	NOUN
ejpam-3492	81	34	,	,	PUNCT
ejpam-3492	81	35	(	(	PUNCT
ejpam-3492	81	36	a	a	DET
ejpam-3492	81	37	∈	∈	PROPN
ejpam-3492	81	38	a	a	PRON
ejpam-3492	81	39	,	,	PUNCT
ejpam-3492	81	40	b	b	PROPN
ejpam-3492	81	41	∈	∈	PROPN
ejpam-3492	81	42	b	b	NOUN
ejpam-3492	81	43	)	)	PUNCT
ejpam-3492	81	44	.	.	PUNCT
ejpam-3492	82	1	a	a	DET
ejpam-3492	82	2	≺	≺	NOUN
ejpam-3492	82	3	b	b	SYM
ejpam-3492	82	4	⇐	⇐	ADJ
ejpam-3492	82	5	⇒	⇒	NOUN
ejpam-3492	82	6	{	{	PUNCT
ejpam-3492	82	7	a	a	DET
ejpam-3492	82	8	}	}	PUNCT
ejpam-3492	82	9	≺	≺	NOUN
ejpam-3492	82	10	b.	b.	NOUN
ejpam-3492	82	11	in	in	ADP
ejpam-3492	82	12	the	the	DET
ejpam-3492	82	13	main	main	ADJ
ejpam-3492	82	14	result	result	NOUN
ejpam-3492	82	15	x	x	PUNCT
ejpam-3492	82	16	is	be	AUX
ejpam-3492	82	17	strongly	strongly	ADV
ejpam-3492	82	18	ordered	order	VERB
ejpam-3492	82	19	:	:	PUNCT
ejpam-3492	82	20	if	if	SCONJ
ejpam-3492	82	21	w	w	PROPN
ejpam-3492	82	22	⊂	⊂	PROPN
ejpam-3492	82	23	x	x	X
ejpam-3492	82	24	is	be	AUX
ejpam-3492	82	25	an	an	DET
ejpam-3492	82	26	open	open	ADJ
ejpam-3492	82	27	neighborhood	neighborhood	NOUN
ejpam-3492	82	28	of	of	ADP
ejpam-3492	82	29	x	x	NOUN
ejpam-3492	82	30	,	,	PUNCT
ejpam-3492	82	31	there	there	PRON
ejpam-3492	82	32	are	be	VERB
ejpam-3492	82	33	nonempty	nonempty	ADV
ejpam-3492	82	34	open	open	ADJ
ejpam-3492	82	35	sets	set	NOUN
ejpam-3492	82	36	u	u	NOUN
ejpam-3492	82	37	,	,	PUNCT
ejpam-3492	82	38	v	v	ADP
ejpam-3492	82	39	⊂	⊂	PROPN
ejpam-3492	82	40	w	w	ADP
ejpam-3492	82	41	such	such	ADJ
ejpam-3492	82	42	that	that	SCONJ
ejpam-3492	82	43	u	u	PROPN
ejpam-3492	82	44	≺	≺	NOUN
ejpam-3492	82	45	x	x	SYM
ejpam-3492	82	46	≺	≺	NOUN
ejpam-3492	82	47	v	v	NOUN
ejpam-3492	82	48	.	.	PUNCT
ejpam-3492	83	1	examples	example	NOUN
ejpam-3492	83	2	.	.	PUNCT
ejpam-3492	84	1	•	•	NUM
ejpam-3492	84	2	euclidean	euclidean	ADJ
ejpam-3492	84	3	space	space	NOUN
ejpam-3492	84	4	rn	rn	PROPN
ejpam-3492	84	5	is	be	AUX
ejpam-3492	84	6	strongly	strongly	ADV
ejpam-3492	84	7	ordered	order	VERB
ejpam-3492	84	8	by	by	ADP
ejpam-3492	84	9	the	the	DET
ejpam-3492	84	10	classical	classical	ADJ
ejpam-3492	84	11	vector	vector	NOUN
ejpam-3492	84	12	order	order	NOUN
ejpam-3492	84	13	:	:	PUNCT
ejpam-3492	84	14	x	x	SYM
ejpam-3492	84	15	�	�	PROPN
ejpam-3492	84	16	y	y	PROPN
ejpam-3492	84	17	⇐	⇐	PROPN
ejpam-3492	84	18	⇒	⇒	PROPN
ejpam-3492	84	19	x	x	X
ejpam-3492	84	20	j	j	PROPN
ejpam-3492	84	21	≤	≤	PROPN
ejpam-3492	84	22	y	y	PROPN
ejpam-3492	84	23	j	j	PROPN
ejpam-3492	84	24	,	,	PUNCT
ejpam-3492	84	25	(	(	PUNCT
ejpam-3492	84	26	j	j	PROPN
ejpam-3492	84	27	=	=	SYM
ejpam-3492	84	28	1	1	NUM
ejpam-3492	84	29	,	,	PUNCT
ejpam-3492	84	30	.	.	PUNCT
ejpam-3492	84	31	.	.	PUNCT
ejpam-3492	85	1	.	.	PUNCT
ejpam-3492	85	2	,	,	PUNCT
ejpam-3492	85	3	n	n	CCONJ
ejpam-3492	85	4	)	)	PUNCT
ejpam-3492	85	5	.	.	PUNCT
ejpam-3492	86	1	(	(	PUNCT
ejpam-3492	86	2	3	3	X
ejpam-3492	86	3	)	)	PUNCT
ejpam-3492	86	4	•	•	NOUN
ejpam-3492	86	5	many	many	ADJ
ejpam-3492	86	6	banach	banach	NOUN
ejpam-3492	86	7	spaces	space	NOUN
ejpam-3492	86	8	of	of	ADP
ejpam-3492	86	9	continuous	continuous	ADJ
ejpam-3492	86	10	real	real	ADV
ejpam-3492	86	11	-	-	PUNCT
ejpam-3492	86	12	valued	value	VERB
ejpam-3492	86	13	functions	function	NOUN
ejpam-3492	86	14	on	on	ADP
ejpam-3492	86	15	a	a	DET
ejpam-3492	86	16	space	space	NOUN
ejpam-3492	86	17	s	s	PRON
ejpam-3492	86	18	are	be	AUX
ejpam-3492	86	19	strongly	strongly	ADV
ejpam-3492	86	20	ordered	order	VERB
ejpam-3492	86	21	by	by	ADP
ejpam-3492	86	22	the	the	DET
ejpam-3492	86	23	functional	functional	ADJ
ejpam-3492	86	24	order	order	NOUN
ejpam-3492	86	25	:	:	PUNCT
ejpam-3492	86	26	f1	f1	PROPN
ejpam-3492	86	27	�	�	PROPN
ejpam-3492	86	28	f2	f2	PROPN
ejpam-3492	86	29	⇐	⇐	PROPN
ejpam-3492	86	30	⇒	⇒	PROPN
ejpam-3492	86	31	f1x	f1x	PROPN
ejpam-3492	86	32	≤	≤	ADV
ejpam-3492	86	33	f2x	f2x	ADV
ejpam-3492	86	34	,	,	PUNCT
ejpam-3492	86	35	(	(	PUNCT
ejpam-3492	86	36	x	x	PUNCT
ejpam-3492	86	37	∈	∈	PROPN
ejpam-3492	86	38	s	s	PART
ejpam-3492	86	39	)	)	PUNCT
ejpam-3492	86	40	.	.	PUNCT
ejpam-3492	87	1	in	in	ADP
ejpam-3492	87	2	many	many	ADJ
ejpam-3492	87	3	dynamical	dynamical	ADJ
ejpam-3492	87	4	models	model	NOUN
ejpam-3492	87	5	of	of	ADP
ejpam-3492	87	6	natural	natural	ADJ
ejpam-3492	87	7	systems	system	NOUN
ejpam-3492	87	8	the	the	DET
ejpam-3492	87	9	state	state	NOUN
ejpam-3492	87	10	space	space	NOUN
ejpam-3492	87	11	reflects	reflect	VERB
ejpam-3492	87	12	the	the	DET
ejpam-3492	87	13	relative	relative	ADJ
ejpam-3492	87	14	size	size	NOUN
ejpam-3492	87	15	of	of	ADP
ejpam-3492	87	16	states	state	NOUN
ejpam-3492	87	17	—	—	PUNCT
ejpam-3492	87	18	density	density	NOUN
ejpam-3492	87	19	,	,	PUNCT
ejpam-3492	87	20	population	population	NOUN
ejpam-3492	87	21	,	,	PUNCT
ejpam-3492	87	22	etc	etc	X
ejpam-3492	87	23	.	.	X
ejpam-3492	87	24	scientific	scientific	ADJ
ejpam-3492	87	25	fields	field	NOUN
ejpam-3492	87	26	are	be	AUX
ejpam-3492	87	27	often	often	ADV
ejpam-3492	87	28	modeled	model	VERB
ejpam-3492	87	29	by	by	ADP
ejpam-3492	87	30	a	a	DET
ejpam-3492	87	31	dynamical	dynamical	ADJ
ejpam-3492	87	32	system	system	NOUN
ejpam-3492	87	33	whose	whose	DET
ejpam-3492	87	34	state	state	NOUN
ejpam-3492	87	35	space	space	NOUN
ejpam-3492	87	36	s	s	PROPN
ejpam-3492	87	37	⊂	⊂	PROPN
ejpam-3492	87	38	rn	rn	PROPN
ejpam-3492	87	39	has	have	VERB
ejpam-3492	87	40	an	an	DET
ejpam-3492	87	41	order	order	NOUN
ejpam-3492	87	42	that	that	PRON
ejpam-3492	87	43	reflects	reflect	VERB
ejpam-3492	87	44	the	the	DET
ejpam-3492	87	45	relative	relative	ADJ
ejpam-3492	87	46	“	"	PUNCT
ejpam-3492	87	47	size	size	NOUN
ejpam-3492	87	48	”	"	PUNCT
ejpam-3492	87	49	of	of	ADP
ejpam-3492	87	50	states	state	NOUN
ejpam-3492	87	51	—	—	PUNCT
ejpam-3492	87	52	density	density	NOUN
ejpam-3492	87	53	,	,	PUNCT
ejpam-3492	87	54	population	population	NOUN
ejpam-3492	87	55	,	,	PUNCT
ejpam-3492	87	56	etc	etc	X
ejpam-3492	87	57	.	.	X
ejpam-3492	88	1	each	each	PRON
ejpam-3492	88	2	coordinate	coordinate	VERB
ejpam-3492	88	3	a	a	DET
ejpam-3492	88	4	typical	typical	ADJ
ejpam-3492	88	5	example	example	NOUN
ejpam-3492	88	6	of	of	ADP
ejpam-3492	88	7	a	a	DET
ejpam-3492	88	8	monotone	monotone	ADJ
ejpam-3492	88	9	dynamical	dynamical	ADJ
ejpam-3492	88	10	system	system	NOUN
ejpam-3492	88	11	is	be	AUX
ejpam-3492	88	12	one	one	NUM
ejpam-3492	88	13	that	that	PRON
ejpam-3492	88	14	models	model	VERB
ejpam-3492	88	15	an	an	DET
ejpam-3492	88	16	ecology	ecology	NOUN
ejpam-3492	88	17	of	of	ADP
ejpam-3492	88	18	n	n	PRON
ejpam-3492	88	19	species	specie	NOUN
ejpam-3492	88	20	that	that	PRON
ejpam-3492	88	21	is	be	AUX
ejpam-3492	88	22	biologists	biologist	NOUN
ejpam-3492	88	23	call	call	VERB
ejpam-3492	88	24	commensual	commensual	ADJ
ejpam-3492	88	25	:	:	PUNCT
ejpam-3492	88	26	an	an	DET
ejpam-3492	88	27	increase	increase	NOUN
ejpam-3492	88	28	in	in	ADP
ejpam-3492	88	29	the	the	DET
ejpam-3492	88	30	growth	growth	NOUN
ejpam-3492	88	31	rate	rate	NOUN
ejpam-3492	88	32	of	of	ADP
ejpam-3492	88	33	any	any	DET
ejpam-3492	88	34	species	species	NOUN
ejpam-3492	88	35	tends	tend	VERB
ejpam-3492	88	36	to	to	PART
ejpam-3492	88	37	increase	increase	VERB
ejpam-3492	88	38	the	the	DET
ejpam-3492	88	39	sizes	size	NOUN
ejpam-3492	88	40	of	of	ADP
ejpam-3492	88	41	the	the	DET
ejpam-3492	88	42	others	other	NOUN
ejpam-3492	88	43	.	.	PUNCT
ejpam-3492	89	1	the	the	DET
ejpam-3492	89	2	state	state	NOUN
ejpam-3492	89	3	space	space	NOUN
ejpam-3492	89	4	is	be	AUX
ejpam-3492	89	5	the	the	DET
ejpam-3492	89	6	positive	positive	ADJ
ejpam-3492	89	7	orthant	orthant	NOUN
ejpam-3492	89	8	rn	rn	PROPN
ejpam-3492	89	9	+	+	X
ejpam-3492	89	10	with	with	ADP
ejpam-3492	89	11	the	the	DET
ejpam-3492	89	12	vector	vector	NOUN
ejpam-3492	89	13	order	order	NOUN
ejpam-3492	89	14	;	;	PUNCT
ejpam-3492	89	15	coordinate	coordinate	NOUN
ejpam-3492	89	16	xi	xi	ADP
ejpam-3492	89	17	is	be	AUX
ejpam-3492	89	18	a	a	DET
ejpam-3492	89	19	measure	measure	NOUN
ejpam-3492	89	20	of	of	ADP
ejpam-3492	89	21	the	the	DET
ejpam-3492	89	22	size	size	NOUN
ejpam-3492	89	23	(	(	PUNCT
ejpam-3492	89	24	e.g.	e.g.	ADV
ejpam-3492	89	25	,	,	PUNCT
ejpam-3492	89	26	the	the	DET
ejpam-3492	89	27	density	density	NOUN
ejpam-3492	89	28	)	)	PUNCT
ejpam-3492	89	29	of	of	ADP
ejpam-3492	89	30	population	population	NOUN
ejpam-3492	89	31	i	i	PRON
ejpam-3492	89	32	,	,	PUNCT
ejpam-3492	89	33	and	and	CCONJ
ejpam-3492	89	34	dynamic	dynamic	ADJ
ejpam-3492	89	35	is	be	AUX
ejpam-3492	89	36	defined	define	VERB
ejpam-3492	89	37	by	by	ADP
ejpam-3492	89	38	a	a	DET
ejpam-3492	89	39	set	set	NOUN
ejpam-3492	89	40	of	of	ADP
ejpam-3492	89	41	ordinary	ordinary	ADJ
ejpam-3492	89	42	differential	differential	ADJ
ejpam-3492	89	43	equations	equation	NOUN
ejpam-3492	89	44	dxi	dxi	NOUN
ejpam-3492	89	45	dt	dt	NOUN
ejpam-3492	89	46	=	=	NOUN
ejpam-3492	89	47	xigi(x1	xigi(x1	PROPN
ejpam-3492	89	48	,	,	PUNCT
ejpam-3492	89	49	.	.	PUNCT
ejpam-3492	89	50	.	.	PUNCT
ejpam-3492	90	1	.	.	PUNCT
ejpam-3492	91	1	,	,	PUNCT
ejpam-3492	91	2	xn	xn	PROPN
ejpam-3492	91	3	)	)	PUNCT
ejpam-3492	91	4	,	,	PUNCT
ejpam-3492	91	5	(	(	PUNCT
ejpam-3492	91	6	i	i	NOUN
ejpam-3492	91	7	=	=	NOUN
ejpam-3492	91	8	1	1	NUM
ejpam-3492	91	9	,	,	PUNCT
ejpam-3492	91	10	.	.	PUNCT
ejpam-3492	91	11	.	.	PUNCT
ejpam-3492	92	1	.	.	PUNCT
ejpam-3492	92	2	,	,	PUNCT
ejpam-3492	92	3	n	n	CCONJ
ejpam-3492	92	4	)	)	PUNCT
ejpam-3492	92	5	.	.	PUNCT
ejpam-3492	93	1	(	(	PUNCT
ejpam-3492	93	2	4	4	X
ejpam-3492	93	3	)	)	PUNCT
ejpam-3492	93	4	monotonicity	monotonicity	NOUN
ejpam-3492	93	5	is	be	AUX
ejpam-3492	93	6	established	establish	VERB
ejpam-3492	93	7	by	by	ADP
ejpam-3492	93	8	assuming	assume	VERB
ejpam-3492	93	9	i	i	PRON
ejpam-3492	93	10	,	,	PUNCT
ejpam-3492	93	11	j	j	PROPN
ejpam-3492	93	12	=	=	AUX
ejpam-3492	93	13	⇒	⇒	VERB
ejpam-3492	93	14	∂gi	∂gi	PROPN
ejpam-3492	93	15	∂x	∂x	PROPN
ejpam-3492	93	16	j	j	PROPN
ejpam-3492	93	17	≥	≥	PROPN
ejpam-3492	93	18	0	0	NUM
ejpam-3492	93	19	.	.	PUNCT
ejpam-3492	94	1	(	(	PUNCT
ejpam-3492	94	2	5	5	NUM
ejpam-3492	94	3	)	)	PUNCT
ejpam-3492	94	4	if	if	SCONJ
ejpam-3492	94	5	the	the	DET
ejpam-3492	94	6	species	specie	NOUN
ejpam-3492	94	7	reproduce	reproduce	VERB
ejpam-3492	94	8	only	only	ADV
ejpam-3492	94	9	once	once	ADV
ejpam-3492	94	10	a	a	DET
ejpam-3492	94	11	year	year	NOUN
ejpam-3492	94	12	,	,	PUNCT
ejpam-3492	94	13	the	the	DET
ejpam-3492	94	14	ecology	ecology	NOUN
ejpam-3492	94	15	can	can	AUX
ejpam-3492	94	16	be	be	AUX
ejpam-3492	94	17	modeled	model	VERB
ejpam-3492	94	18	by	by	ADP
ejpam-3492	94	19	a	a	DET
ejpam-3492	94	20	map	map	NOUN
ejpam-3492	94	21	t	t	NOUN
ejpam-3492	94	22	:	:	PUNCT
ejpam-3492	94	23	rn	rn	PROPN
ejpam-3492	94	24	+	+	PROPN
ejpam-3492	94	25	→	→	SYM
ejpam-3492	94	26	rn	rn	PROPN
ejpam-3492	94	27	+	+	PROPN
ejpam-3492	94	28	.	.	PUNCT
ejpam-3492	95	1	the	the	DET
ejpam-3492	95	2	dynamic	dynamic	ADJ
ejpam-3492	95	3	{	{	PUNCT
ejpam-3492	95	4	t	t	NOUN
ejpam-3492	95	5	k	k	PROPN
ejpam-3492	95	6	}	}	PUNCT
ejpam-3492	95	7	,	,	PUNCT
ejpam-3492	95	8	parametrized	parametrize	VERB
ejpam-3492	95	9	by	by	ADP
ejpam-3492	95	10	integers	integer	NOUN
ejpam-3492	95	11	k	k	PROPN
ejpam-3492	95	12	≥	≥	PROPN
ejpam-3492	95	13	0	0	NUM
ejpam-3492	95	14	,	,	PUNCT
ejpam-3492	95	15	is	be	AUX
ejpam-3492	95	16	monotone	monotone	ADJ
ejpam-3492	95	17	if	if	SCONJ
ejpam-3492	95	18	the	the	DET
ejpam-3492	95	19	partial	partial	ADJ
ejpam-3492	95	20	derivatives	derivative	NOUN
ejpam-3492	95	21	of	of	ADP
ejpam-3492	95	22	t	t	PROPN
ejpam-3492	95	23	are	be	AUX
ejpam-3492	95	24	nonnegative	nonnegative	PROPN
ejpam-3492	95	25	.	.	PUNCT
ejpam-3492	96	1	m.	m.	PROPN
ejpam-3492	96	2	w.	w.	PROPN
ejpam-3492	96	3	hirsch	hirsch	PROPN
ejpam-3492	96	4	/	/	SYM
ejpam-3492	96	5	eur	eur	PROPN
ejpam-3492	96	6	.	.	PUNCT
ejpam-3492	97	1	j.	j.	PROPN
ejpam-3492	97	2	pure	pure	PROPN
ejpam-3492	97	3	appl	appl	PROPN
ejpam-3492	97	4	.	.	PROPN
ejpam-3492	97	5	math	math	PROPN
ejpam-3492	97	6	,	,	PUNCT
ejpam-3492	97	7	12	12	NUM
ejpam-3492	97	8	(	(	PUNCT
ejpam-3492	97	9	3	3	NUM
ejpam-3492	97	10	)	)	PUNCT
ejpam-3492	97	11	(	(	PUNCT
ejpam-3492	97	12	2019	2019	NUM
ejpam-3492	97	13	)	)	PUNCT
ejpam-3492	97	14	,	,	PUNCT
ejpam-3492	97	15	680	680	NUM
ejpam-3492	97	16	-	-	SYM
ejpam-3492	97	17	688	688	NUM
ejpam-3492	97	18	684	684	NUM
ejpam-3492	97	19	an	an	DET
ejpam-3492	97	20	opposite	opposite	ADJ
ejpam-3492	97	21	kind	kind	NOUN
ejpam-3492	97	22	of	of	ADP
ejpam-3492	97	23	ecology	ecology	NOUN
ejpam-3492	97	24	—	—	PUNCT
ejpam-3492	97	25	for	for	ADP
ejpam-3492	97	26	example	example	NOUN
ejpam-3492	97	27	,	,	PUNCT
ejpam-3492	97	28	sheep	sheep	NOUN
ejpam-3492	97	29	and	and	CCONJ
ejpam-3492	97	30	wolves	wolf	NOUN
ejpam-3492	97	31	—	—	PUNCT
ejpam-3492	97	32	is	be	AUX
ejpam-3492	97	33	modeled	model	VERB
ejpam-3492	97	34	by	by	ADP
ejpam-3492	97	35	a	a	DET
ejpam-3492	97	36	competitive	competitive	ADJ
ejpam-3492	97	37	system	system	NOUN
ejpam-3492	97	38	of	of	ADP
ejpam-3492	97	39	differential	differential	ADJ
ejpam-3492	97	40	equations	equation	NOUN
ejpam-3492	97	41	(	(	PUNCT
ejpam-3492	97	42	4	4	NUM
ejpam-3492	97	43	)	)	PUNCT
ejpam-3492	97	44	,	,	PUNCT
ejpam-3492	97	45	which	which	PRON
ejpam-3492	97	46	instead	instead	ADV
ejpam-3492	97	47	of	of	ADP
ejpam-3492	97	48	(	(	PUNCT
ejpam-3492	97	49	5	5	NUM
ejpam-3492	97	50	)	)	PUNCT
ejpam-3492	97	51	satisfies	satisfie	NOUN
ejpam-3492	97	52	:	:	PUNCT
ejpam-3492	97	53	i	i	PRON
ejpam-3492	97	54	,	,	PUNCT
ejpam-3492	97	55	j	j	PROPN
ejpam-3492	98	1	=	=	AUX
ejpam-3492	98	2	⇒	⇒	VERB
ejpam-3492	98	3	∂gi	∂gi	PROPN
ejpam-3492	98	4	∂x	∂x	PROPN
ejpam-3492	98	5	j	j	NOUN
ejpam-3492	98	6	≤	≤	ADJ
ejpam-3492	98	7	0	0	NUM
ejpam-3492	98	8	.	.	PUNCT
ejpam-3492	99	1	(	(	PUNCT
ejpam-3492	99	2	6	6	NUM
ejpam-3492	99	3	)	)	PUNCT
ejpam-3492	99	4	here	here	ADV
ejpam-3492	99	5	an	an	DET
ejpam-3492	99	6	increase	increase	NOUN
ejpam-3492	99	7	in	in	ADP
ejpam-3492	99	8	the	the	DET
ejpam-3492	99	9	growth	growth	NOUN
ejpam-3492	99	10	rate	rate	NOUN
ejpam-3492	99	11	of	of	ADP
ejpam-3492	99	12	one	one	NUM
ejpam-3492	99	13	species	species	NOUN
ejpam-3492	99	14	tends	tend	VERB
ejpam-3492	99	15	to	to	PART
ejpam-3492	99	16	decrease	decrease	VERB
ejpam-3492	99	17	the	the	DET
ejpam-3492	99	18	sizes	size	NOUN
ejpam-3492	99	19	of	of	ADP
ejpam-3492	99	20	others	other	NOUN
ejpam-3492	99	21	.	.	PUNCT
ejpam-3492	100	1	the	the	DET
ejpam-3492	100	2	theory	theory	NOUN
ejpam-3492	100	3	of	of	ADP
ejpam-3492	100	4	cooperative	cooperative	ADJ
ejpam-3492	100	5	systems	system	NOUN
ejpam-3492	100	6	can	can	AUX
ejpam-3492	100	7	be	be	AUX
ejpam-3492	100	8	used	use	VERB
ejpam-3492	100	9	to	to	PART
ejpam-3492	100	10	analyze	analyze	VERB
ejpam-3492	100	11	competitive	competitive	ADJ
ejpam-3492	100	12	systems	system	NOUN
ejpam-3492	100	13	by	by	ADP
ejpam-3492	100	14	“	"	PUNCT
ejpam-3492	100	15	time	time	NOUN
ejpam-3492	100	16	reversal	reversal	NOUN
ejpam-3492	100	17	”	"	PUNCT
ejpam-3492	100	18	—	—	PUNCT
ejpam-3492	100	19	choosing	choose	VERB
ejpam-3492	100	20	−t	−t	NOUN
ejpam-3492	100	21	as	as	ADP
ejpam-3492	100	22	the	the	DET
ejpam-3492	100	23	time	time	NOUN
ejpam-3492	100	24	parameter	parameter	NOUN
ejpam-3492	100	25	.	.	PUNCT
ejpam-3492	101	1	this	this	PRON
ejpam-3492	101	2	produces	produce	VERB
ejpam-3492	101	3	a	a	DET
ejpam-3492	101	4	cooperative	cooperative	ADJ
ejpam-3492	101	5	system	system	NOUN
ejpam-3492	101	6	.	.	PUNCT
ejpam-3492	102	1	while	while	SCONJ
ejpam-3492	102	2	cooperative	cooperative	ADJ
ejpam-3492	102	3	systems	system	NOUN
ejpam-3492	102	4	can	can	AUX
ejpam-3492	102	5	not	not	PART
ejpam-3492	102	6	have	have	VERB
ejpam-3492	102	7	chaotic	chaotic	ADJ
ejpam-3492	102	8	attractors	attractor	NOUN
ejpam-3492	102	9	,	,	PUNCT
ejpam-3492	102	10	by	by	ADP
ejpam-3492	102	11	theorem	theorem	NOUN
ejpam-3492	102	12	2	2	NUM
ejpam-3492	102	13	,	,	PUNCT
ejpam-3492	102	14	many	many	ADJ
ejpam-3492	102	15	competitive	competitive	ADJ
ejpam-3492	102	16	systems	system	NOUN
ejpam-3492	102	17	do	do	AUX
ejpam-3492	102	18	have	have	VERB
ejpam-3492	102	19	them	they	PRON
ejpam-3492	102	20	.	.	PUNCT
ejpam-3492	103	1	they	they	PRON
ejpam-3492	103	2	can	can	AUX
ejpam-3492	103	3	be	be	AUX
ejpam-3492	103	4	constructed	construct	VERB
ejpam-3492	103	5	using	use	VERB
ejpam-3492	103	6	a	a	DET
ejpam-3492	103	7	theorem	theorem	NOUN
ejpam-3492	103	8	of	of	ADP
ejpam-3492	103	9	s.	s.	PROPN
ejpam-3492	103	10	smale	smale	PROPN
ejpam-3492	104	1	[	[	X
ejpam-3492	104	2	30	30	NUM
ejpam-3492	104	3	]	]	PUNCT
ejpam-3492	104	4	:	:	PUNCT
ejpam-3492	104	5	let	let	VERB
ejpam-3492	104	6	f	f	PRON
ejpam-3492	104	7	be	be	AUX
ejpam-3492	104	8	a	a	DET
ejpam-3492	104	9	dynamical	dynamical	ADJ
ejpam-3492	104	10	system	system	NOUN
ejpam-3492	104	11	on	on	ADP
ejpam-3492	104	12	the	the	DET
ejpam-3492	104	13	(	(	PUNCT
ejpam-3492	104	14	n	n	CCONJ
ejpam-3492	104	15	−	−	PROPN
ejpam-3492	104	16	1)-simplex	1)-simplex	NUM
ejpam-3492	104	17	∆	∆	PROPN
ejpam-3492	104	18	:	:	PUNCT
ejpam-3492	105	1	=	=	SYM
ejpam-3492	105	2	{	{	PUNCT
ejpam-3492	105	3	x	x	PUNCT
ejpam-3492	105	4	∈	∈	PROPN
ejpam-3492	105	5	rn	rn	PROPN
ejpam-3492	105	6	+	+	CCONJ
ejpam-3492	105	7	:	:	PUNCT
ejpam-3492	105	8	σn	σn	PROPN
ejpam-3492	105	9	1xi	1xi	NOUN
ejpam-3492	105	10	=	=	PUNCT
ejpam-3492	105	11	1	1	NUM
ejpam-3492	105	12	}	}	PUNCT
ejpam-3492	105	13	,	,	PUNCT
ejpam-3492	105	14	determined	determine	VERB
ejpam-3492	105	15	by	by	ADP
ejpam-3492	105	16	a	a	DET
ejpam-3492	105	17	continuously	continuously	ADV
ejpam-3492	105	18	differentiable	differentiable	ADJ
ejpam-3492	105	19	vector	vector	NOUN
ejpam-3492	105	20	field	field	NOUN
ejpam-3492	105	21	.	.	PUNCT
ejpam-3492	106	1	then	then	ADV
ejpam-3492	106	2	f	f	PROPN
ejpam-3492	106	3	extends	extend	VERB
ejpam-3492	106	4	to	to	ADP
ejpam-3492	106	5	a	a	DET
ejpam-3492	106	6	dynamical	dynamical	ADJ
ejpam-3492	106	7	system	system	NOUN
ejpam-3492	106	8	f̂	f̂	X
ejpam-3492	106	9	in	in	ADP
ejpam-3492	106	10	rn	rn	PROPN
ejpam-3492	106	11	+	+	CCONJ
ejpam-3492	106	12	determined	determine	VERB
ejpam-3492	106	13	by	by	ADP
ejpam-3492	106	14	a	a	DET
ejpam-3492	106	15	suitable	suitable	ADJ
ejpam-3492	106	16	g	g	NOUN
ejpam-3492	106	17	in	in	ADP
ejpam-3492	106	18	(	(	PUNCT
ejpam-3492	106	19	4	4	NUM
ejpam-3492	106	20	)	)	PUNCT
ejpam-3492	106	21	,	,	PUNCT
ejpam-3492	106	22	and	and	CCONJ
ejpam-3492	106	23	has	have	VERB
ejpam-3492	106	24	∆	∆	PROPN
ejpam-3492	106	25	as	as	ADP
ejpam-3492	106	26	a	a	DET
ejpam-3492	106	27	global	global	ADJ
ejpam-3492	106	28	attractor	attractor	NOUN
ejpam-3492	106	29	.	.	PUNCT
ejpam-3492	107	1	it	it	PRON
ejpam-3492	107	2	follows	follow	VERB
ejpam-3492	107	3	that	that	SCONJ
ejpam-3492	107	4	if	if	SCONJ
ejpam-3492	107	5	a	a	DET
ejpam-3492	107	6	⊂	⊂	PROPN
ejpam-3492	107	7	∆	∆	PROPN
ejpam-3492	107	8	is	be	AUX
ejpam-3492	107	9	a	a	DET
ejpam-3492	107	10	chaotic	chaotic	ADJ
ejpam-3492	107	11	global	global	ADJ
ejpam-3492	107	12	attractor	attractor	NOUN
ejpam-3492	107	13	for	for	ADP
ejpam-3492	107	14	f	f	PROPN
ejpam-3492	107	15	,	,	PUNCT
ejpam-3492	107	16	then	then	ADV
ejpam-3492	107	17	a	a	PRON
ejpam-3492	107	18	is	be	AUX
ejpam-3492	107	19	also	also	ADV
ejpam-3492	107	20	a	a	DET
ejpam-3492	107	21	chaotic	chaotic	ADJ
ejpam-3492	107	22	global	global	ADJ
ejpam-3492	107	23	attractor	attractor	NOUN
ejpam-3492	107	24	for	for	ADP
ejpam-3492	107	25	f̂.	f̂.	ADJ
ejpam-3492	107	26	monotone	monotone	ADJ
ejpam-3492	107	27	dynamical	dynamical	ADJ
ejpam-3492	107	28	systems	system	NOUN
ejpam-3492	107	29	often	often	ADV
ejpam-3492	107	30	permit	permit	VERB
ejpam-3492	107	31	reliable	reliable	ADJ
ejpam-3492	107	32	predictions	prediction	NOUN
ejpam-3492	107	33	of	of	ADP
ejpam-3492	107	34	long	long	ADJ
ejpam-3492	107	35	-	-	PUNCT
ejpam-3492	107	36	term	term	NOUN
ejpam-3492	107	37	behavior	behavior	NOUN
ejpam-3492	107	38	.	.	PUNCT
ejpam-3492	108	1	in	in	ADP
ejpam-3492	108	2	many	many	ADJ
ejpam-3492	108	3	case	case	NOUN
ejpam-3492	108	4	it	it	PRON
ejpam-3492	108	5	can	can	AUX
ejpam-3492	108	6	be	be	AUX
ejpam-3492	108	7	proved	prove	VERB
ejpam-3492	108	8	that	that	SCONJ
ejpam-3492	108	9	typical	typical	ADJ
ejpam-3492	108	10	trajectories	trajectory	NOUN
ejpam-3492	108	11	tend	tend	VERB
ejpam-3492	108	12	toward	toward	ADP
ejpam-3492	108	13	fixed	fix	VERB
ejpam-3492	108	14	points	point	NOUN
ejpam-3492	108	15	or	or	CCONJ
ejpam-3492	108	16	periodic	periodic	ADJ
ejpam-3492	108	17	orbits	orbit	NOUN
ejpam-3492	108	18	.	.	PUNCT
ejpam-3492	109	1	see	see	VERB
ejpam-3492	109	2	for	for	ADP
ejpam-3492	109	3	example	example	NOUN
ejpam-3492	109	4	references	reference	NOUN
ejpam-3492	109	5	[	[	X
ejpam-3492	109	6	2	2	NUM
ejpam-3492	109	7	,	,	PUNCT
ejpam-3492	109	8	3	3	NUM
ejpam-3492	109	9	,	,	PUNCT
ejpam-3492	109	10	5	5	NUM
ejpam-3492	109	11	,	,	PUNCT
ejpam-3492	109	12	9	9	NUM
ejpam-3492	109	13	,	,	PUNCT
ejpam-3492	109	14	10	10	NUM
ejpam-3492	109	15	,	,	PUNCT
ejpam-3492	109	16	12	12	NUM
ejpam-3492	109	17	,	,	PUNCT
ejpam-3492	109	18	13	13	NUM
ejpam-3492	109	19	,	,	PUNCT
ejpam-3492	109	20	15–17	15–17	NUM
ejpam-3492	109	21	,	,	PUNCT
ejpam-3492	109	22	19	19	NUM
ejpam-3492	109	23	,	,	PUNCT
ejpam-3492	109	24	20	20	NUM
ejpam-3492	109	25	,	,	PUNCT
ejpam-3492	109	26	24	24	NUM
ejpam-3492	109	27	,	,	PUNCT
ejpam-3492	109	28	25	25	NUM
ejpam-3492	109	29	,	,	PUNCT
ejpam-3492	109	30	28	28	NUM
ejpam-3492	109	31	,	,	PUNCT
ejpam-3492	109	32	31	31	NUM
ejpam-3492	109	33	,	,	PUNCT
ejpam-3492	109	34	34	34	NUM
ejpam-3492	109	35	,	,	PUNCT
ejpam-3492	109	36	44	44	NUM
ejpam-3492	109	37	]	]	PUNCT
ejpam-3492	109	38	.	.	PUNCT
ejpam-3492	110	1	the	the	DET
ejpam-3492	110	2	recent	recent	ADJ
ejpam-3492	110	3	survey	survey	NOUN
ejpam-3492	110	4	by	by	ADP
ejpam-3492	110	5	h.	h.	PROPN
ejpam-3492	110	6	smith	smith	PROPN
ejpam-3492	111	1	[	[	X
ejpam-3492	111	2	35	35	NUM
ejpam-3492	111	3	]	]	PUNCT
ejpam-3492	111	4	has	have	VERB
ejpam-3492	111	5	an	an	DET
ejpam-3492	111	6	extensive	extensive	ADJ
ejpam-3492	111	7	bibliography	bibliography	NOUN
ejpam-3492	111	8	.	.	PUNCT
ejpam-3492	112	1	monotonicity	monotonicity	NOUN
ejpam-3492	112	2	and	and	CCONJ
ejpam-3492	112	3	chaos	chaos	NOUN
ejpam-3492	112	4	play	play	VERB
ejpam-3492	112	5	quite	quite	ADV
ejpam-3492	112	6	different	different	ADJ
ejpam-3492	112	7	roles	role	NOUN
ejpam-3492	112	8	in	in	ADP
ejpam-3492	112	9	dynamical	dynamical	ADJ
ejpam-3492	112	10	models	model	NOUN
ejpam-3492	112	11	:	:	PUNCT
ejpam-3492	112	12	monotonicity	monotonicity	NOUN
ejpam-3492	112	13	is	be	AUX
ejpam-3492	112	14	easily	easily	ADV
ejpam-3492	112	15	verified	verify	VERB
ejpam-3492	112	16	for	for	ADP
ejpam-3492	112	17	many	many	ADJ
ejpam-3492	112	18	standard	standard	ADJ
ejpam-3492	112	19	classes	class	NOUN
ejpam-3492	112	20	of	of	ADP
ejpam-3492	112	21	systems	system	NOUN
ejpam-3492	112	22	,	,	PUNCT
ejpam-3492	112	23	and	and	CCONJ
ejpam-3492	112	24	in	in	ADP
ejpam-3492	112	25	many	many	ADJ
ejpam-3492	112	26	cases	case	NOUN
ejpam-3492	112	27	standard	standard	ADJ
ejpam-3492	112	28	theory	theory	NOUN
ejpam-3492	112	29	gives	give	VERB
ejpam-3492	112	30	accurate	accurate	ADJ
ejpam-3492	112	31	predictions	prediction	NOUN
ejpam-3492	112	32	of	of	ADP
ejpam-3492	112	33	long	long	ADJ
ejpam-3492	112	34	-	-	PUNCT
ejpam-3492	112	35	term	term	NOUN
ejpam-3492	112	36	behavior	behavior	NOUN
ejpam-3492	112	37	.	.	PUNCT
ejpam-3492	113	1	chaos	chaos	NOUN
ejpam-3492	113	2	is	be	AUX
ejpam-3492	113	3	quite	quite	ADV
ejpam-3492	113	4	difficult	difficult	ADJ
ejpam-3492	113	5	to	to	PART
ejpam-3492	113	6	either	either	CCONJ
ejpam-3492	113	7	prove	prove	VERB
ejpam-3492	113	8	or	or	CCONJ
ejpam-3492	113	9	disprove	disprove	VERB
ejpam-3492	113	10	,	,	PUNCT
ejpam-3492	113	11	and	and	CCONJ
ejpam-3492	113	12	it	it	PRON
ejpam-3492	113	13	makes	make	VERB
ejpam-3492	113	14	accurate	accurate	ADJ
ejpam-3492	113	15	long	long	ADJ
ejpam-3492	113	16	-	-	PUNCT
ejpam-3492	113	17	term	term	NOUN
ejpam-3492	113	18	prediction	prediction	NOUN
ejpam-3492	113	19	impossible	impossible	ADJ
ejpam-3492	113	20	.	.	PUNCT
ejpam-3492	114	1	but	but	CCONJ
ejpam-3492	114	2	it	it	PRON
ejpam-3492	114	3	is	be	AUX
ejpam-3492	114	4	unavoidable	unavoidable	ADJ
ejpam-3492	114	5	:	:	PUNCT
ejpam-3492	114	6	as	as	SCONJ
ejpam-3492	114	7	lorenz	lorenz	PROPN
ejpam-3492	114	8	discovered	discover	VERB
ejpam-3492	114	9	,	,	PUNCT
ejpam-3492	114	10	simple	simple	ADJ
ejpam-3492	114	11	models	model	NOUN
ejpam-3492	114	12	of	of	ADP
ejpam-3492	114	13	real	real	ADJ
ejpam-3492	114	14	systems	system	NOUN
ejpam-3492	114	15	exhibit	exhibit	NOUN
ejpam-3492	114	16	chaos	chaos	NOUN
ejpam-3492	114	17	.	.	PUNCT
ejpam-3492	115	1	results	result	NOUN
ejpam-3492	115	2	proposition	proposition	NOUN
ejpam-3492	115	3	1	1	X
ejpam-3492	115	4	.	.	PUNCT
ejpam-3492	116	1	if	if	SCONJ
ejpam-3492	116	2	y	y	PROPN
ejpam-3492	116	3	is	be	AUX
ejpam-3492	116	4	a	a	DET
ejpam-3492	116	5	compact	compact	ADJ
ejpam-3492	116	6	metric	metric	ADJ
ejpam-3492	116	7	space	space	NOUN
ejpam-3492	116	8	and	and	CCONJ
ejpam-3492	116	9	h	h	NOUN
ejpam-3492	116	10	:	:	PUNCT
ejpam-3492	116	11	y	y	PROPN
ejpam-3492	116	12	→	→	SYM
ejpam-3492	116	13	y	y	PROPN
ejpam-3492	116	14	is	be	AUX
ejpam-3492	116	15	topologically	topologically	ADV
ejpam-3492	116	16	transitive	transitive	ADJ
ejpam-3492	116	17	,	,	PUNCT
ejpam-3492	116	18	then	then	ADV
ejpam-3492	116	19	h	h	NOUN
ejpam-3492	116	20	has	have	VERB
ejpam-3492	116	21	a	a	DET
ejpam-3492	116	22	dense	dense	ADJ
ejpam-3492	116	23	orbit.†	orbit.†	NOUN
ejpam-3492	116	24	proof	proof	NOUN
ejpam-3492	116	25	.	.	PUNCT
ejpam-3492	117	1	y	y	PROPN
ejpam-3492	117	2	is	be	AUX
ejpam-3492	117	3	covered	cover	VERB
ejpam-3492	117	4	by	by	ADP
ejpam-3492	117	5	a	a	DET
ejpam-3492	117	6	family	family	NOUN
ejpam-3492	117	7	u1,u2	u1,u2	PROPN
ejpam-3492	117	8	,	,	PUNCT
ejpam-3492	117	9	.	.	PUNCT
ejpam-3492	117	10	.	.	PUNCT
ejpam-3492	118	1	.	.	PUNCT
ejpam-3492	119	1	of	of	ADP
ejpam-3492	119	2	open	open	ADJ
ejpam-3492	119	3	sets	set	NOUN
ejpam-3492	119	4	whose	whose	DET
ejpam-3492	119	5	diameters	diameter	NOUN
ejpam-3492	119	6	go	go	VERB
ejpam-3492	119	7	to	to	ADP
ejpam-3492	119	8	0	0	NUM
ejpam-3492	119	9	as	as	SCONJ
ejpam-3492	119	10	i	i	PRON
ejpam-3492	119	11	goes	go	VERB
ejpam-3492	119	12	to	to	ADP
ejpam-3492	119	13	∞.	∞.	PROPN
ejpam-3492	119	14	using	use	VERB
ejpam-3492	119	15	topological	topological	ADJ
ejpam-3492	119	16	transitivity	transitivity	NOUN
ejpam-3492	119	17	repeatedly	repeatedly	ADV
ejpam-3492	119	18	,	,	PUNCT
ejpam-3492	119	19	one	one	PRON
ejpam-3492	119	20	finds	find	VERB
ejpam-3492	119	21	a	a	DET
ejpam-3492	119	22	sequence	sequence	NOUN
ejpam-3492	119	23	ki	ki	PROPN
ejpam-3492	119	24	of	of	ADP
ejpam-3492	119	25	compact	compact	ADJ
ejpam-3492	119	26	sets	set	NOUN
ejpam-3492	119	27	satisfying	satisfy	VERB
ejpam-3492	119	28	satisfy	satisfy	NOUN
ejpam-3492	119	29	:	:	PUNCT
ejpam-3492	119	30	u1	u1	PROPN
ejpam-3492	119	31	⊃	⊃	PROPN
ejpam-3492	119	32	k1	k1	PROPN
ejpam-3492	119	33	⊃	⊃	PROPN
ejpam-3492	119	34	k2	k2	PROPN
ejpam-3492	119	35	⊃	⊃	PROPN
ejpam-3492	119	36	·	·	PUNCT
ejpam-3492	119	37	·	·	PUNCT
ejpam-3492	119	38	·	·	PUNCT
ejpam-3492	119	39	(	(	PUNCT
ejpam-3492	119	40	7	7	X
ejpam-3492	119	41	)	)	PUNCT
ejpam-3492	119	42	†devaney	†devaney	NOUN
ejpam-3492	119	43	[	[	X
ejpam-3492	119	44	6	6	NUM
ejpam-3492	119	45	]	]	PUNCT
ejpam-3492	119	46	points	point	VERB
ejpam-3492	119	47	out	out	ADP
ejpam-3492	119	48	that	that	SCONJ
ejpam-3492	119	49	it	it	PRON
ejpam-3492	119	50	suffices	suffice	VERB
ejpam-3492	119	51	for	for	SCONJ
ejpam-3492	119	52	y	y	PROPN
ejpam-3492	119	53	to	to	PART
ejpam-3492	119	54	be	be	AUX
ejpam-3492	119	55	any	any	DET
ejpam-3492	119	56	separable	separable	ADJ
ejpam-3492	119	57	,	,	PUNCT
ejpam-3492	119	58	complete	complete	ADJ
ejpam-3492	119	59	metric	metric	ADJ
ejpam-3492	119	60	space	space	NOUN
ejpam-3492	119	61	.	.	PUNCT
ejpam-3492	120	1	references	reference	NOUN
ejpam-3492	120	2	685	685	NUM
ejpam-3492	120	3	and	and	CCONJ
ejpam-3492	120	4	ui	ui	PROPN
ejpam-3492	120	5	∩	∩	PROPN
ejpam-3492	120	6	t	t	PROPN
ejpam-3492	120	7	i(ki	i(ki	PROPN
ejpam-3492	120	8	)	)	PUNCT
ejpam-3492	120	9	is	be	AUX
ejpam-3492	120	10	not	not	PART
ejpam-3492	120	11	empty	empty	ADJ
ejpam-3492	120	12	.	.	PUNCT
ejpam-3492	121	1	(	(	PUNCT
ejpam-3492	121	2	8)	8)	NUM
ejpam-3492	121	3	by	by	ADP
ejpam-3492	121	4	compactness	compactness	NOUN
ejpam-3492	121	5	of	of	ADP
ejpam-3492	121	6	the	the	DET
ejpam-3492	121	7	ki	ki	PROPN
ejpam-3492	121	8	there	there	PRON
ejpam-3492	121	9	exists	exist	VERB
ejpam-3492	121	10	p	p	PROPN
ejpam-3492	121	11	∈	∈	PROPN
ejpam-3492	122	1	⋂	⋂	PROPN
ejpam-3492	123	1	i	i	PRON
ejpam-3492	123	2	ki	ki	PROPN
ejpam-3492	123	3	,	,	PUNCT
ejpam-3492	123	4	whence	whence	NOUN
ejpam-3492	123	5	(	(	PUNCT
ejpam-3492	123	6	7	7	NUM
ejpam-3492	123	7	)	)	PUNCT
ejpam-3492	123	8	and	and	CCONJ
ejpam-3492	123	9	(	(	PUNCT
ejpam-3492	123	10	8)	8)	NUM
ejpam-3492	123	11	show	show	VERB
ejpam-3492	123	12	that	that	SCONJ
ejpam-3492	123	13	the	the	DET
ejpam-3492	123	14	orbit	orbit	NOUN
ejpam-3492	123	15	of	of	ADP
ejpam-3492	123	16	p	p	PROPN
ejpam-3492	123	17	is	be	AUX
ejpam-3492	123	18	dense	dense	ADJ
ejpam-3492	123	19	.	.	PUNCT
ejpam-3492	124	1	theorem	theorem	NOUN
ejpam-3492	124	2	1	1	NUM
ejpam-3492	124	3	.	.	PUNCT
ejpam-3492	125	1	assume	assume	VERB
ejpam-3492	125	2	t	t	NOUN
ejpam-3492	125	3	:	:	PUNCT
ejpam-3492	125	4	x	x	X
ejpam-3492	125	5	→	→	PUNCT
ejpam-3492	125	6	x	x	X
ejpam-3492	125	7	is	be	AUX
ejpam-3492	125	8	a	a	DET
ejpam-3492	125	9	monotone	monotone	ADJ
ejpam-3492	125	10	map	map	NOUN
ejpam-3492	125	11	in	in	ADP
ejpam-3492	125	12	a	a	DET
ejpam-3492	125	13	strongly	strongly	ADV
ejpam-3492	125	14	ordered	order	VERB
ejpam-3492	125	15	space	space	NOUN
ejpam-3492	125	16	,	,	PUNCT
ejpam-3492	125	17	and	and	CCONJ
ejpam-3492	125	18	a	a	PRON
ejpam-3492	125	19	is	be	AUX
ejpam-3492	125	20	an	an	DET
ejpam-3492	125	21	attractor	attractor	NOUN
ejpam-3492	125	22	for	for	ADP
ejpam-3492	125	23	t	t	PROPN
ejpam-3492	125	24	.	.	PUNCT
ejpam-3492	126	1	then	then	ADV
ejpam-3492	126	2	t	t	PROPN
ejpam-3492	126	3	|a	|a	VERB
ejpam-3492	126	4	is	be	AUX
ejpam-3492	126	5	not	not	PART
ejpam-3492	126	6	topologically	topologically	ADV
ejpam-3492	126	7	transitive	transitive	ADJ
ejpam-3492	126	8	,	,	PUNCT
ejpam-3492	126	9	hence	hence	ADV
ejpam-3492	126	10	a	a	PRON
ejpam-3492	126	11	is	be	AUX
ejpam-3492	126	12	not	not	PART
ejpam-3492	126	13	chaotic	chaotic	ADJ
ejpam-3492	126	14	.	.	PUNCT
ejpam-3492	127	1	proof	proof	NOUN
ejpam-3492	127	2	.	.	PUNCT
ejpam-3492	128	1	assume	assume	VERB
ejpam-3492	128	2	per	per	ADP
ejpam-3492	128	3	contra	contra	PROPN
ejpam-3492	128	4	that	that	PRON
ejpam-3492	128	5	t	t	PROPN
ejpam-3492	128	6	|a	|a	VERB
ejpam-3492	128	7	is	be	AUX
ejpam-3492	128	8	topologically	topologically	ADV
ejpam-3492	128	9	transitive	transitive	ADJ
ejpam-3492	128	10	.	.	PUNCT
ejpam-3492	129	1	then	then	ADV
ejpam-3492	129	2	proposition	proposition	NOUN
ejpam-3492	129	3	1	1	NUM
ejpam-3492	129	4	,	,	PUNCT
ejpam-3492	129	5	with	with	ADP
ejpam-3492	129	6	h	h	NOUN
ejpam-3492	129	7	=	=	SYM
ejpam-3492	129	8	t	t	PROPN
ejpam-3492	129	9	|a	|a	NOUN
ejpam-3492	129	10	,	,	PUNCT
ejpam-3492	129	11	implies	imply	VERB
ejpam-3492	129	12	:	:	PUNCT
ejpam-3492	129	13	(	(	PUNCT
ejpam-3492	129	14	i	i	NOUN
ejpam-3492	129	15	)	)	PUNCT
ejpam-3492	129	16	some	some	DET
ejpam-3492	129	17	orbit	orbit	NOUN
ejpam-3492	129	18	is	be	AUX
ejpam-3492	129	19	dense	dense	ADJ
ejpam-3492	129	20	in	in	ADP
ejpam-3492	129	21	a	a	PRON
ejpam-3492	129	22	,	,	PUNCT
ejpam-3492	129	23	which	which	PRON
ejpam-3492	129	24	implies	imply	VERB
ejpam-3492	129	25	:	:	PUNCT
ejpam-3492	129	26	(	(	PUNCT
ejpam-3492	129	27	ii	ii	NOUN
ejpam-3492	129	28	)	)	PUNCT
ejpam-3492	129	29	no	no	DET
ejpam-3492	129	30	point	point	NOUN
ejpam-3492	129	31	is	be	AUX
ejpam-3492	129	32	isolated	isolate	VERB
ejpam-3492	129	33	in	in	ADP
ejpam-3492	129	34	a.	a.	NOUN
ejpam-3492	129	35	to	to	PART
ejpam-3492	129	36	reach	reach	VERB
ejpam-3492	129	37	a	a	DET
ejpam-3492	129	38	contradiction	contradiction	NOUN
ejpam-3492	129	39	we	we	PRON
ejpam-3492	129	40	rely	rely	VERB
ejpam-3492	129	41	on	on	ADP
ejpam-3492	129	42	a	a	DET
ejpam-3492	129	43	deus	deus	NOUN
ejpam-3492	129	44	ex	ex	X
ejpam-3492	129	45	machina	machina	NOUN
ejpam-3492	129	46	,	,	PUNCT
ejpam-3492	129	47	corollary	corollary	ADJ
ejpam-3492	129	48	6.4	6.4	NUM
ejpam-3492	129	49	of	of	ADP
ejpam-3492	129	50	hirsch	hirsch	PROPN
ejpam-3492	130	1	[	[	X
ejpam-3492	130	2	12	12	NUM
ejpam-3492	130	3	]	]	X
ejpam-3492	130	4	:	:	PUNCT
ejpam-3492	130	5	if	if	SCONJ
ejpam-3492	130	6	no	no	DET
ejpam-3492	130	7	point	point	NOUN
ejpam-3492	130	8	is	be	AUX
ejpam-3492	130	9	isolated	isolate	VERB
ejpam-3492	130	10	in	in	ADP
ejpam-3492	130	11	a	a	PRON
ejpam-3492	130	12	,	,	PUNCT
ejpam-3492	130	13	then	then	ADV
ejpam-3492	130	14	no	no	DET
ejpam-3492	130	15	finite	finite	ADJ
ejpam-3492	130	16	union	union	NOUN
ejpam-3492	130	17	of	of	ADP
ejpam-3492	130	18	orbits	orbit	NOUN
ejpam-3492	130	19	is	be	AUX
ejpam-3492	130	20	dense	dense	ADJ
ejpam-3492	130	21	in	in	ADP
ejpam-3492	130	22	a.	a.	NOUN
ejpam-3492	130	23	therefore	therefore	ADV
ejpam-3492	130	24	(	(	PUNCT
ejpam-3492	130	25	i	i	NOUN
ejpam-3492	130	26	)	)	PUNCT
ejpam-3492	130	27	is	be	AUX
ejpam-3492	130	28	false	false	ADJ
ejpam-3492	130	29	,	,	PUNCT
ejpam-3492	130	30	proving	prove	VERB
ejpam-3492	130	31	that	that	SCONJ
ejpam-3492	130	32	t	t	PROPN
ejpam-3492	130	33	|a	|a	VERB
ejpam-3492	130	34	is	be	AUX
ejpam-3492	130	35	topologically	topologically	ADV
ejpam-3492	130	36	transitive	transitive	ADJ
ejpam-3492	130	37	.	.	PUNCT
ejpam-3492	131	1	acknowledgements	acknowledgement	NOUN
ejpam-3492	131	2	i	i	PRON
ejpam-3492	131	3	am	be	AUX
ejpam-3492	131	4	grateful	grateful	ADJ
ejpam-3492	131	5	to	to	ADP
ejpam-3492	131	6	professor	professor	PROPN
ejpam-3492	131	7	robert	robert	PROPN
ejpam-3492	131	8	devaney	devaney	PROPN
ejpam-3492	131	9	and	and	CCONJ
ejpam-3492	131	10	the	the	DET
ejpam-3492	131	11	anonymous	anonymous	ADJ
ejpam-3492	131	12	reviewers	reviewer	NOUN
ejpam-3492	131	13	for	for	ADP
ejpam-3492	131	14	important	important	ADJ
ejpam-3492	131	15	information	information	NOUN
ejpam-3492	131	16	and	and	CCONJ
ejpam-3492	131	17	suggestions	suggestion	NOUN
ejpam-3492	131	18	.	.	PUNCT
ejpam-3492	132	1	references	reference	NOUN
ejpam-3492	132	2	[	[	X
ejpam-3492	132	3	1	1	X
ejpam-3492	132	4	]	]	PUNCT
ejpam-3492	132	5	j.	j.	PROPN
ejpam-3492	132	6	banks	banks	PROPN
ejpam-3492	132	7	et	et	PROPN
ejpam-3492	132	8	al	al	PROPN
ejpam-3492	132	9	.	.	PROPN
ejpam-3492	132	10	,	,	PUNCT
ejpam-3492	132	11	j.	j.	PROPN
ejpam-3492	132	12	brooks	brooks	PROPN
ejpam-3492	132	13	,	,	PUNCT
ejpam-3492	132	14	g.	g.	PROPN
ejpam-3492	132	15	cairns	cairns	PROPN
ejpam-3492	132	16	,	,	PUNCT
ejpam-3492	132	17	g.	g.	PROPN
ejpam-3492	132	18	davis	davis	PROPN
ejpam-3492	132	19	&	&	CCONJ
ejpam-3492	132	20	p.	p.	PROPN
ejpam-3492	132	21	stacey	stacey	PROPN
ejpam-3492	132	22	,	,	PUNCT
ejpam-3492	132	23	on	on	ADP
ejpam-3492	132	24	devaney	devaney	PROPN
ejpam-3492	132	25	’s	’s	PART
ejpam-3492	132	26	definition	definition	NOUN
ejpam-3492	132	27	of	of	ADP
ejpam-3492	132	28	chaos	chaos	NOUN
ejpam-3492	132	29	,	,	PUNCT
ejpam-3492	132	30	american	american	ADJ
ejpam-3492	132	31	math	math	NOUN
ejpam-3492	132	32	.	.	PUNCT
ejpam-3492	133	1	monthly	monthly	ADJ
ejpam-3492	133	2	99	99	NUM
ejpam-3492	133	3	(	(	PUNCT
ejpam-3492	133	4	1992	1992	NUM
ejpam-3492	133	5	)	)	PUNCT
ejpam-3492	133	6	,	,	PUNCT
ejpam-3492	133	7	332–334	332–334	NUM
ejpam-3492	133	8	.	.	PUNCT
ejpam-3492	134	1	[	[	X
ejpam-3492	134	2	2	2	NUM
ejpam-3492	134	3	]	]	PUNCT
ejpam-3492	134	4	m.	m.	NOUN
ejpam-3492	134	5	akian	akian	PROPN
ejpam-3492	134	6	,	,	PUNCT
ejpam-3492	134	7	s.	s.	PROPN
ejpam-3492	134	8	gaubert	gaubert	PROPN
ejpam-3492	134	9	&	&	CCONJ
ejpam-3492	134	10	bas	bas	PROPN
ejpam-3492	134	11	lemmens	lemmens	PROPN
ejpam-3492	134	12	,	,	PUNCT
ejpam-3492	134	13	stability	stability	NOUN
ejpam-3492	134	14	and	and	CCONJ
ejpam-3492	134	15	convergence	convergence	NOUN
ejpam-3492	134	16	in	in	ADP
ejpam-3492	134	17	discrete	discrete	ADJ
ejpam-3492	134	18	convex	convex	NOUN
ejpam-3492	134	19	monotone	monotone	ADJ
ejpam-3492	134	20	dynamical	dynamical	ADJ
ejpam-3492	134	21	systems	system	NOUN
ejpam-3492	134	22	,	,	PUNCT
ejpam-3492	134	23	arxiv	arxiv	PROPN
ejpam-3492	134	24	:	:	PUNCT
ejpam-3492	134	25	1003.5346v1	1003.5346v1	NUM
ejpam-3492	134	26	(	(	PUNCT
ejpam-3492	134	27	2010	2010	NUM
ejpam-3492	134	28	)	)	PUNCT
ejpam-3492	134	29	.	.	PUNCT
ejpam-3492	135	1	[	[	X
ejpam-3492	135	2	3	3	X
ejpam-3492	135	3	]	]	X
ejpam-3492	135	4	bas	bas	PROPN
ejpam-3492	135	5	lemmens	lemmens	PROPN
ejpam-3492	135	6	,	,	PUNCT
ejpam-3492	135	7	o.	o.	PROPN
ejpam-3492	135	8	van	van	PROPN
ejpam-3492	135	9	gaans	gaans	PROPN
ejpam-3492	135	10	,	,	PUNCT
ejpam-3492	135	11	h.	h.	PROPN
ejpam-3492	135	12	van	van	PROPN
ejpam-3492	135	13	imhoff	imhoff	PROPN
ejpam-3492	135	14	.	.	PUNCT
ejpam-3492	136	1	monotone	monotone	ADJ
ejpam-3492	136	2	dynamical	dynamical	ADJ
ejpam-3492	136	3	systems	system	NOUN
ejpam-3492	136	4	with	with	ADP
ejpam-3492	136	5	dense	dense	ADJ
ejpam-3492	136	6	periodic	periodic	ADJ
ejpam-3492	136	7	points	point	NOUN
ejpam-3492	136	8	,	,	PUNCT
ejpam-3492	136	9	j.	j.	PROPN
ejpam-3492	136	10	differential	differential	PROPN
ejpam-3492	136	11	equations	equation	NOUN
ejpam-3492	136	12	265	265	NUM
ejpam-3492	136	13	(	(	PUNCT
ejpam-3492	136	14	1918	1918	NUM
ejpam-3492	136	15	)	)	PUNCT
ejpam-3492	136	16	,	,	PUNCT
ejpam-3492	136	17	no	no	INTJ
ejpam-3492	136	18	.	.	NOUN
ejpam-3492	136	19	11	11	NUM
ejpam-3492	136	20	,	,	PUNCT
ejpam-3492	136	21	5709–5715	5709–5715	NOUN
ejpam-3492	136	22	,	,	PUNCT
ejpam-3492	136	23	[	[	X
ejpam-3492	136	24	4	4	NUM
ejpam-3492	136	25	]	]	X
ejpam-3492	136	26	c.	c.	PROPN
ejpam-3492	136	27	good	good	PROPN
ejpam-3492	136	28	&	&	CCONJ
ejpam-3492	136	29	s.	s.	PROPN
ejpam-3492	136	30	macı́as	macı́as	PROPN
ejpam-3492	136	31	,	,	PUNCT
ejpam-3492	136	32	what	what	PRON
ejpam-3492	136	33	is	be	AUX
ejpam-3492	136	34	topological	topological	ADJ
ejpam-3492	136	35	about	about	ADP
ejpam-3492	136	36	topological	topological	ADJ
ejpam-3492	136	37	dynamics	dynamic	NOUN
ejpam-3492	136	38	?	?	PUNCT
ejpam-3492	136	39	,	,	PUNCT
ejpam-3492	136	40	discrete	discrete	ADJ
ejpam-3492	136	41	contin	contin	NOUN
ejpam-3492	136	42	.	.	PUNCT
ejpam-3492	137	1	dyn	dyn	NOUN
ejpam-3492	137	2	.	.	PUNCT
ejpam-3492	138	1	syst	syst	PROPN
ejpam-3492	138	2	.	.	PUNCT
ejpam-3492	139	1	38	38	NUM
ejpam-3492	139	2	(	(	PUNCT
ejpam-3492	139	3	2018	2018	NUM
ejpam-3492	139	4	)	)	PUNCT
ejpam-3492	139	5	,	,	PUNCT
ejpam-3492	139	6	no	no	INTJ
ejpam-3492	139	7	.	.	NOUN
ejpam-3492	139	8	3	3	NUM
ejpam-3492	139	9	,	,	PUNCT
ejpam-3492	139	10	1007–1031	1007–1031	NUM
ejpam-3492	139	11	.	.	PUNCT
ejpam-3492	140	1	[	[	X
ejpam-3492	140	2	5	5	X
ejpam-3492	140	3	]	]	PUNCT
ejpam-3492	140	4	p.	p.	NOUN
ejpam-3492	140	5	de	de	X
ejpam-3492	140	6	leenheer	leenheer	PROPN
ejpam-3492	140	7	,	,	PUNCT
ejpam-3492	140	8	the	the	DET
ejpam-3492	140	9	puzzle	puzzle	NOUN
ejpam-3492	140	10	of	of	ADP
ejpam-3492	140	11	partial	partial	ADJ
ejpam-3492	140	12	migration	migration	NOUN
ejpam-3492	140	13	,	,	PUNCT
ejpam-3492	140	14	j.	j.	PROPN
ejpam-3492	140	15	theroretical	theroretical	PROPN
ejpam-3492	140	16	biology	biology	NOUN
ejpam-3492	140	17	412	412	NUM
ejpam-3492	140	18	(	(	PUNCT
ejpam-3492	140	19	2017	2017	NUM
ejpam-3492	140	20	)	)	PUNCT
ejpam-3492	140	21	,	,	PUNCT
ejpam-3492	140	22	172	172	NUM
ejpam-3492	140	23	–	–	SYM
ejpam-3492	140	24	185	185	NUM
ejpam-3492	140	25	.	.	PUNCT
ejpam-3492	141	1	[	[	X
ejpam-3492	141	2	6	6	NUM
ejpam-3492	141	3	]	]	PUNCT
ejpam-3492	141	4	r.	r.	PROPN
ejpam-3492	141	5	devaney	devaney	PROPN
ejpam-3492	141	6	,	,	PUNCT
ejpam-3492	141	7	“	"	PUNCT
ejpam-3492	141	8	an	an	DET
ejpam-3492	141	9	introduction	introduction	NOUN
ejpam-3492	141	10	to	to	ADP
ejpam-3492	141	11	chaotic	chaotic	ADJ
ejpam-3492	141	12	dynamical	dynamical	ADJ
ejpam-3492	141	13	systems	system	NOUN
ejpam-3492	141	14	,	,	PUNCT
ejpam-3492	141	15	”	"	PUNCT
ejpam-3492	141	16	benjamin	benjamin	PROPN
ejpam-3492	141	17	/	/	SYM
ejpam-3492	141	18	cummings	cummings	PROPN
ejpam-3492	141	19	,	,	PUNCT
ejpam-3492	141	20	menlo	menlo	NOUN
ejpam-3492	141	21	park	park	NOUN
ejpam-3492	141	22	,	,	PUNCT
ejpam-3492	141	23	ca	can	AUX
ejpam-3492	141	24	,	,	PUNCT
ejpam-3492	141	25	(	(	PUNCT
ejpam-3492	141	26	1986	1986	NUM
ejpam-3492	141	27	)	)	PUNCT
ejpam-3492	141	28	.	.	PUNCT
ejpam-3492	142	1	references	reference	NOUN
ejpam-3492	142	2	686	686	NUM
ejpam-3492	142	3	[	[	X
ejpam-3492	142	4	7	7	NUM
ejpam-3492	142	5	]	]	X
ejpam-3492	142	6	r.	r.	PROPN
ejpam-3492	142	7	devaney	devaney	PROPN
ejpam-3492	142	8	,	,	PUNCT
ejpam-3492	142	9	m.	m.	PROPN
ejpam-3492	142	10	hirsch	hirsch	PROPN
ejpam-3492	142	11	&	&	CCONJ
ejpam-3492	142	12	s.	s.	PROPN
ejpam-3492	142	13	smale	smale	PROPN
ejpam-3492	142	14	,	,	PUNCT
ejpam-3492	142	15	“	"	PUNCT
ejpam-3492	142	16	differential	differential	ADJ
ejpam-3492	142	17	equations	equation	NOUN
ejpam-3492	142	18	,	,	PUNCT
ejpam-3492	142	19	dynamical	dynamical	ADJ
ejpam-3492	142	20	systems	system	NOUN
ejpam-3492	142	21	&	&	CCONJ
ejpam-3492	142	22	an	an	DET
ejpam-3492	142	23	introduction	introduction	NOUN
ejpam-3492	142	24	to	to	PART
ejpam-3492	142	25	chaos	chaos	VERB
ejpam-3492	142	26	,	,	PUNCT
ejpam-3492	142	27	”	"	PUNCT
ejpam-3492	142	28	elsevier	elsevier	PROPN
ejpam-3492	142	29	academic	academic	PROPN
ejpam-3492	142	30	press	press	PROPN
ejpam-3492	142	31	2004	2004	NUM
ejpam-3492	142	32	.	.	PUNCT
ejpam-3492	143	1	[	[	X
ejpam-3492	143	2	8	8	NUM
ejpam-3492	143	3	]	]	X
ejpam-3492	143	4	r.	r.	PROPN
ejpam-3492	143	5	devaney	devaney	PROPN
ejpam-3492	143	6	,	,	PUNCT
ejpam-3492	143	7	personal	personal	ADJ
ejpam-3492	143	8	commuication	commuication	NOUN
ejpam-3492	143	9	(	(	PUNCT
ejpam-3492	143	10	2019	2019	NUM
ejpam-3492	143	11	)	)	PUNCT
ejpam-3492	143	12	.	.	PUNCT
ejpam-3492	144	1	[	[	X
ejpam-3492	144	2	9	9	NUM
ejpam-3492	144	3	]	]	X
ejpam-3492	144	4	g.	g.	PROPN
ejpam-3492	144	5	dirr	dirr	PROPN
ejpam-3492	144	6	et	et	PROPN
ejpam-3492	144	7	al	al	PROPN
ejpam-3492	144	8	.	.	PROPN
ejpam-3492	144	9	,	,	PUNCT
ejpam-3492	144	10	separable	separable	ADJ
ejpam-3492	144	11	lyapunov	lyapunov	NOUN
ejpam-3492	144	12	functions	function	NOUN
ejpam-3492	144	13	for	for	ADP
ejpam-3492	144	14	monotone	monotone	ADJ
ejpam-3492	144	15	systems	system	NOUN
ejpam-3492	144	16	:	:	PUNCT
ejpam-3492	144	17	constructions	construction	NOUN
ejpam-3492	144	18	and	and	CCONJ
ejpam-3492	144	19	limitations	limitation	NOUN
ejpam-3492	144	20	,	,	PUNCT
ejpam-3492	144	21	disc	disc	NOUN
ejpam-3492	144	22	.	.	PUNCT
ejpam-3492	144	23	&	&	CCONJ
ejpam-3492	144	24	cont	cont	PROPN
ejpam-3492	144	25	.	.	PUNCT
ejpam-3492	145	1	dyn	dyn	NOUN
ejpam-3492	145	2	.	.	PUNCT
ejpam-3492	146	1	systems	system	NOUN
ejpam-3492	146	2	,	,	PUNCT
ejpam-3492	146	3	series	series	NOUN
ejpam-3492	146	4	b	b	PROPN
ejpam-3492	146	5	20	20	NUM
ejpam-3492	146	6	(	(	PUNCT
ejpam-3492	146	7	2015	2015	NUM
ejpam-3492	146	8	)	)	PUNCT
ejpam-3492	146	9	,	,	PUNCT
ejpam-3492	146	10	2497–2526	2497–2526	NUM
ejpam-3492	146	11	.	.	PUNCT
ejpam-3492	147	1	[	[	X
ejpam-3492	147	2	10	10	NUM
ejpam-3492	147	3	]	]	X
ejpam-3492	147	4	g.	g.	PROPN
ejpam-3492	147	5	enciso	enciso	PROPN
ejpam-3492	147	6	&	&	CCONJ
ejpam-3492	147	7	e.	e.	PROPN
ejpam-3492	147	8	sontag	sontag	PROPN
ejpam-3492	147	9	,	,	PUNCT
ejpam-3492	147	10	global	global	ADJ
ejpam-3492	147	11	attractivity	attractivity	NOUN
ejpam-3492	147	12	,	,	PUNCT
ejpam-3492	147	13	i	i	PROPN
ejpam-3492	147	14	/	/	SYM
ejpam-3492	147	15	o	o	NOUN
ejpam-3492	147	16	monotone	monotone	ADJ
ejpam-3492	147	17	small	small	ADJ
ejpam-3492	147	18	-	-	PUNCT
ejpam-3492	147	19	gain	gain	NOUN
ejpam-3492	147	20	theorems	theorem	NOUN
ejpam-3492	147	21	,	,	PUNCT
ejpam-3492	147	22	and	and	CCONJ
ejpam-3492	147	23	biological	biological	ADJ
ejpam-3492	147	24	delay	delay	NOUN
ejpam-3492	147	25	systems	system	NOUN
ejpam-3492	147	26	,	,	PUNCT
ejpam-3492	147	27	disc	disc	NOUN
ejpam-3492	147	28	.	.	PUNCT
ejpam-3492	147	29	&	&	CCONJ
ejpam-3492	147	30	cont	cont	PROPN
ejpam-3492	147	31	.	.	PUNCT
ejpam-3492	147	32	dyn	dyn	NOUN
ejpam-3492	147	33	.	.	PUNCT
ejpam-3492	148	1	systems	system	NOUN
ejpam-3492	148	2	14	14	NUM
ejpam-3492	148	3	(	(	PUNCT
ejpam-3492	148	4	2006	2006	NUM
ejpam-3492	148	5	)	)	PUNCT
ejpam-3492	148	6	,	,	PUNCT
ejpam-3492	148	7	249–578	249–578	NUM
ejpam-3492	149	1	[	[	X
ejpam-3492	149	2	11	11	NUM
ejpam-3492	149	3	]	]	PUNCT
ejpam-3492	149	4	j.	j.	PROPN
ejpam-3492	149	5	guckenheimer	guckenheimer	PROPN
ejpam-3492	149	6	&	&	CCONJ
ejpam-3492	149	7	r.	r.	PROPN
ejpam-3492	149	8	williams	williams	PROPN
ejpam-3492	149	9	,	,	PUNCT
ejpam-3492	149	10	structural	structural	ADJ
ejpam-3492	149	11	stability	stability	NOUN
ejpam-3492	149	12	of	of	ADP
ejpam-3492	149	13	lorenz	lorenz	PROPN
ejpam-3492	149	14	attractors	attractor	NOUN
ejpam-3492	149	15	,	,	PUNCT
ejpam-3492	149	16	publ	publ	NOUN
ejpam-3492	149	17	.	.	PUNCT
ejpam-3492	150	1	math	math	NOUN
ejpam-3492	150	2	.	.	PUNCT
ejpam-3492	151	1	ihes	ihe	VERB
ejpam-3492	151	2	50	50	NUM
ejpam-3492	151	3	(	(	PUNCT
ejpam-3492	151	4	1979	1979	NUM
ejpam-3492	151	5	)	)	PUNCT
ejpam-3492	151	6	,	,	PUNCT
ejpam-3492	151	7	59	59	NUM
ejpam-3492	151	8	-	-	SYM
ejpam-3492	151	9	72	72	NUM
ejpam-3492	151	10	.	.	PUNCT
ejpam-3492	152	1	[	[	X
ejpam-3492	152	2	12	12	NUM
ejpam-3492	152	3	]	]	PUNCT
ejpam-3492	152	4	m.	m.	PROPN
ejpam-3492	152	5	hirsch	hirsch	PROPN
ejpam-3492	152	6	,	,	PUNCT
ejpam-3492	152	7	attractors	attractor	NOUN
ejpam-3492	152	8	for	for	ADP
ejpam-3492	152	9	discrete	discrete	ADJ
ejpam-3492	152	10	–	–	PUNCT
ejpam-3492	152	11	time	time	NOUN
ejpam-3492	152	12	monotone	monotone	ADJ
ejpam-3492	152	13	dynamical	dynamical	ADJ
ejpam-3492	152	14	systems	system	NOUN
ejpam-3492	152	15	in	in	ADP
ejpam-3492	152	16	strongly	strongly	ADV
ejpam-3492	152	17	ordered	order	VERB
ejpam-3492	152	18	spaces	space	NOUN
ejpam-3492	152	19	.	.	PUNCT
ejpam-3492	153	1	geometry	geometry	NOUN
ejpam-3492	153	2	and	and	CCONJ
ejpam-3492	153	3	topology	topology	NOUN
ejpam-3492	153	4	:	:	PUNCT
ejpam-3492	153	5	lecture	lecture	VERB
ejpam-3492	153	6	notes	note	NOUN
ejpam-3492	153	7	in	in	ADP
ejpam-3492	153	8	mathematics	mathematic	NOUN
ejpam-3492	153	9	1167	1167	NUM
ejpam-3492	153	10	,	,	PUNCT
ejpam-3492	153	11	141–153	141–153	NUM
ejpam-3492	153	12	.	.	PUNCT
ejpam-3492	154	1	j.	j.	PROPN
ejpam-3492	154	2	alexander	alexander	PROPN
ejpam-3492	154	3	,	,	PUNCT
ejpam-3492	154	4	j.harer	j.harer	AUX
ejpam-3492	154	5	,	,	PUNCT
ejpam-3492	154	6	editors	editor	NOUN
ejpam-3492	154	7	.	.	PUNCT
ejpam-3492	155	1	springer	springer	NOUN
ejpam-3492	155	2	-	-	PUNCT
ejpam-3492	155	3	verlag	verlag	PROPN
ejpam-3492	155	4	,	,	PUNCT
ejpam-3492	155	5	new	new	PROPN
ejpam-3492	155	6	york	york	PROPN
ejpam-3492	155	7	,	,	PUNCT
ejpam-3492	155	8	1985	1985	NUM
ejpam-3492	155	9	.	.	PUNCT
ejpam-3492	156	1	[	[	X
ejpam-3492	156	2	13	13	NUM
ejpam-3492	156	3	]	]	PUNCT
ejpam-3492	156	4	m.	m.	NOUN
ejpam-3492	156	5	hirsch	hirsch	PROPN
ejpam-3492	156	6	,	,	PUNCT
ejpam-3492	156	7	systems	system	NOUN
ejpam-3492	156	8	of	of	ADP
ejpam-3492	156	9	differential	differential	ADJ
ejpam-3492	156	10	equations	equation	NOUN
ejpam-3492	156	11	which	which	PRON
ejpam-3492	156	12	are	be	AUX
ejpam-3492	156	13	competitive	competitive	ADJ
ejpam-3492	156	14	or	or	CCONJ
ejpam-3492	156	15	cooperative	cooperative	ADJ
ejpam-3492	156	16	.	.	PUNCT
ejpam-3492	157	1	i	i	PRON
ejpam-3492	157	2	:	:	PUNCT
ejpam-3492	157	3	limit	limit	NOUN
ejpam-3492	157	4	sets	set	NOUN
ejpam-3492	157	5	.	.	PUNCT
ejpam-3492	158	1	siam	siam	PROPN
ejpam-3492	158	2	j.	j.	PROPN
ejpam-3492	158	3	appl	appl	PROPN
ejpam-3492	158	4	.	.	PROPN
ejpam-3492	158	5	math	math	PROPN
ejpam-3492	158	6	.	.	PUNCT
ejpam-3492	159	1	13	13	NUM
ejpam-3492	159	2	(	(	PUNCT
ejpam-3492	159	3	1982	1982	NUM
ejpam-3492	159	4	)	)	PUNCT
ejpam-3492	159	5	,	,	PUNCT
ejpam-3492	159	6	167–179	167–179	NUM
ejpam-3492	159	7	.	.	PUNCT
ejpam-3492	160	1	[	[	X
ejpam-3492	160	2	14	14	NUM
ejpam-3492	160	3	]	]	PUNCT
ejpam-3492	160	4	m.	m.	PROPN
ejpam-3492	160	5	hirsch	hirsch	PROPN
ejpam-3492	160	6	,	,	PUNCT
ejpam-3492	160	7	systems	system	NOUN
ejpam-3492	160	8	of	of	ADP
ejpam-3492	160	9	differential	differential	ADJ
ejpam-3492	160	10	equations	equation	NOUN
ejpam-3492	160	11	which	which	PRON
ejpam-3492	160	12	are	be	AUX
ejpam-3492	160	13	competitive	competitive	ADJ
ejpam-3492	160	14	or	or	CCONJ
ejpam-3492	160	15	cooperative	cooperative	ADJ
ejpam-3492	160	16	,	,	PUNCT
ejpam-3492	160	17	ii	ii	PROPN
ejpam-3492	160	18	:	:	PUNCT
ejpam-3492	160	19	convergence	convergence	NOUN
ejpam-3492	160	20	almost	almost	ADV
ejpam-3492	160	21	everywhere	everywhere	ADV
ejpam-3492	160	22	,	,	PUNCT
ejpam-3492	160	23	siam	siam	PROPN
ejpam-3492	160	24	j.	j.	PROPN
ejpam-3492	160	25	math	math	PROPN
ejpam-3492	160	26	.	.	PUNCT
ejpam-3492	161	1	anal	anal	PROPN
ejpam-3492	161	2	.	.	PROPN
ejpam-3492	161	3	,	,	PUNCT
ejpam-3492	161	4	16	16	NUM
ejpam-3492	161	5	,	,	PUNCT
ejpam-3492	161	6	(	(	PUNCT
ejpam-3492	161	7	1985	1985	NUM
ejpam-3492	161	8	)	)	PUNCT
ejpam-3492	161	9	423–439	423–439	NUM
ejpam-3492	161	10	.	.	PUNCT
ejpam-3492	162	1	[	[	X
ejpam-3492	162	2	15	15	NUM
ejpam-3492	162	3	]	]	X
ejpam-3492	162	4	m.	m.	NOUN
ejpam-3492	162	5	hirsch	hirsch	PROPN
ejpam-3492	162	6	,	,	PUNCT
ejpam-3492	162	7	stability	stability	NOUN
ejpam-3492	162	8	and	and	CCONJ
ejpam-3492	162	9	convergence	convergence	NOUN
ejpam-3492	162	10	in	in	ADP
ejpam-3492	162	11	strongly	strongly	ADV
ejpam-3492	162	12	monotone	monotone	ADJ
ejpam-3492	162	13	dynamical	dynamical	ADJ
ejpam-3492	162	14	systems	system	NOUN
ejpam-3492	162	15	,	,	PUNCT
ejpam-3492	162	16	j.	j.	PROPN
ejpam-3492	162	17	reine	reine	PROPN
ejpam-3492	162	18	und	und	PROPN
ejpam-3492	162	19	angewandte	angewandte	PROPN
ejpam-3492	162	20	mathematik	mathematik	PROPN
ejpam-3492	162	21	383	383	NUM
ejpam-3492	162	22	(	(	PUNCT
ejpam-3492	162	23	1988	1988	NUM
ejpam-3492	162	24	)	)	PUNCT
ejpam-3492	162	25	,	,	PUNCT
ejpam-3492	162	26	1–53	1–53	NOUN
ejpam-3492	162	27	.	.	PUNCT
ejpam-3492	163	1	[	[	X
ejpam-3492	163	2	16	16	NUM
ejpam-3492	163	3	]	]	PUNCT
ejpam-3492	163	4	m.	m.	PROPN
ejpam-3492	163	5	hirsch	hirsch	PROPN
ejpam-3492	163	6	,	,	PUNCT
ejpam-3492	163	7	systems	system	NOUN
ejpam-3492	163	8	of	of	ADP
ejpam-3492	163	9	differential	differential	ADJ
ejpam-3492	163	10	equations	equation	NOUN
ejpam-3492	163	11	which	which	PRON
ejpam-3492	163	12	are	be	AUX
ejpam-3492	163	13	competitive	competitive	ADJ
ejpam-3492	163	14	or	or	CCONJ
ejpam-3492	163	15	cooperative	cooperative	ADJ
ejpam-3492	163	16	,	,	PUNCT
ejpam-3492	163	17	iii	iii	PROPN
ejpam-3492	163	18	:	:	PUNCT
ejpam-3492	163	19	competing	compete	VERB
ejpam-3492	163	20	species	specie	NOUN
ejpam-3492	163	21	,	,	PUNCT
ejpam-3492	163	22	nonlinearity	nonlinearity	NOUN
ejpam-3492	163	23	1	1	NUM
ejpam-3492	163	24	,	,	PUNCT
ejpam-3492	163	25	(	(	PUNCT
ejpam-3492	163	26	1988	1988	NUM
ejpam-3492	163	27	)	)	PUNCT
ejpam-3492	163	28	51–71	51–71	NUM
ejpam-3492	163	29	.	.	PUNCT
ejpam-3492	164	1	[	[	X
ejpam-3492	164	2	17	17	NUM
ejpam-3492	164	3	]	]	PUNCT
ejpam-3492	164	4	m.	m.	PROPN
ejpam-3492	164	5	hirsch	hirsch	PROPN
ejpam-3492	164	6	,	,	PUNCT
ejpam-3492	164	7	differential	differential	ADJ
ejpam-3492	164	8	equations	equation	NOUN
ejpam-3492	164	9	and	and	CCONJ
ejpam-3492	164	10	convergence	convergence	NOUN
ejpam-3492	164	11	almost	almost	ADV
ejpam-3492	164	12	everywhwere	everywhwere	ADV
ejpam-3492	164	13	in	in	ADP
ejpam-3492	164	14	strongly	strongly	ADV
ejpam-3492	164	15	monotone	monotone	ADJ
ejpam-3492	164	16	semiflows	semiflow	NOUN
ejpam-3492	164	17	,	,	PUNCT
ejpam-3492	164	18	contemp	contemp	NOUN
ejpam-3492	164	19	.	.	PUNCT
ejpam-3492	165	1	math	math	NOUN
ejpam-3492	165	2	.	.	PUNCT
ejpam-3492	166	1	17	17	NUM
ejpam-3492	166	2	,	,	PUNCT
ejpam-3492	166	3	(	(	PUNCT
ejpam-3492	166	4	1983	1983	NUM
ejpam-3492	166	5	)	)	PUNCT
ejpam-3492	167	1	267–285	267–285	NUM
ejpam-3492	167	2	.	.	PUNCT
ejpam-3492	168	1	[	[	X
ejpam-3492	168	2	18	18	NUM
ejpam-3492	168	3	]	]	PUNCT
ejpam-3492	168	4	m.	m.	PROPN
ejpam-3492	168	5	hirsch	hirsch	PROPN
ejpam-3492	168	6	,	,	PUNCT
ejpam-3492	168	7	the	the	DET
ejpam-3492	168	8	dynamical	dynamical	ADJ
ejpam-3492	168	9	systems	system	NOUN
ejpam-3492	168	10	approach	approach	NOUN
ejpam-3492	168	11	to	to	ADP
ejpam-3492	168	12	differential	differential	ADJ
ejpam-3492	168	13	equations	equation	NOUN
ejpam-3492	168	14	,	,	PUNCT
ejpam-3492	168	15	bull	bull	NOUN
ejpam-3492	168	16	.	.	PUNCT
ejpam-3492	169	1	amer	amer	PROPN
ejpam-3492	169	2	.	.	PUNCT
ejpam-3492	169	3	math	math	PROPN
ejpam-3492	169	4	.	.	PUNCT
ejpam-3492	170	1	soc	soc	PROPN
ejpam-3492	170	2	.	.	PUNCT
ejpam-3492	171	1	11	11	NUM
ejpam-3492	171	2	(	(	PUNCT
ejpam-3492	171	3	1984	1984	NUM
ejpam-3492	171	4	)	)	PUNCT
ejpam-3492	171	5	,	,	PUNCT
ejpam-3492	171	6	1–64	1–64	PROPN
ejpam-3492	171	7	.	.	PUNCT
ejpam-3492	172	1	[	[	X
ejpam-3492	172	2	19	19	NUM
ejpam-3492	172	3	]	]	PUNCT
ejpam-3492	172	4	m.	m.	NOUN
ejpam-3492	172	5	hirsch	hirsch	PROPN
ejpam-3492	172	6	,	,	PUNCT
ejpam-3492	172	7	monotone	monotone	ADJ
ejpam-3492	172	8	dynamical	dynamical	ADJ
ejpam-3492	172	9	systems	system	NOUN
ejpam-3492	172	10	with	with	ADP
ejpam-3492	172	11	polyhedral	polyhedral	ADJ
ejpam-3492	172	12	order	order	NOUN
ejpam-3492	172	13	cones	cone	NOUN
ejpam-3492	172	14	and	and	CCONJ
ejpam-3492	172	15	dense	dense	ADJ
ejpam-3492	172	16	periodic	periodic	ADJ
ejpam-3492	172	17	points	point	NOUN
ejpam-3492	172	18	,	,	PUNCT
ejpam-3492	172	19	aims	aim	VERB
ejpam-3492	172	20	mathematics	mathematics	NOUN
ejpam-3492	172	21	2	2	NUM
ejpam-3492	172	22	(	(	PUNCT
ejpam-3492	172	23	2017	2017	NUM
ejpam-3492	172	24	)	)	PUNCT
ejpam-3492	172	25	,	,	PUNCT
ejpam-3492	172	26	24–27	24–27	NUM
ejpam-3492	172	27	.	.	PUNCT
ejpam-3492	173	1	also	also	ADV
ejpam-3492	173	2	in	in	ADP
ejpam-3492	173	3	:	:	PUNCT
ejpam-3492	173	4	http://arxiv.org/abs/1611.09251	http://arxiv.org/abs/1611.09251	NOUN
ejpam-3492	174	1	[	[	X
ejpam-3492	174	2	20	20	NUM
ejpam-3492	174	3	]	]	PUNCT
ejpam-3492	174	4	m.	m.	PROPN
ejpam-3492	174	5	hirsch	hirsch	PROPN
ejpam-3492	174	6	&	&	CCONJ
ejpam-3492	174	7	h.	h.	PROPN
ejpam-3492	174	8	smith	smith	PROPN
ejpam-3492	174	9	,	,	PUNCT
ejpam-3492	174	10	monotone	monotone	ADJ
ejpam-3492	174	11	dynamical	dynamical	ADJ
ejpam-3492	174	12	systems	system	NOUN
ejpam-3492	174	13	,	,	PUNCT
ejpam-3492	174	14	“	"	PUNCT
ejpam-3492	174	15	handbook	handbook	NOUN
ejpam-3492	174	16	of	of	ADP
ejpam-3492	174	17	differential	differential	ADJ
ejpam-3492	174	18	equations	equation	NOUN
ejpam-3492	174	19	,	,	PUNCT
ejpam-3492	174	20	”	"	PUNCT
ejpam-3492	174	21	volume	volume	NOUN
ejpam-3492	174	22	2	2	NUM
ejpam-3492	174	23	,	,	PUNCT
ejpam-3492	174	24	chapter	chapter	NOUN
ejpam-3492	174	25	4	4	NUM
ejpam-3492	174	26	.	.	PUNCT
ejpam-3492	174	27	a.	a.	PROPN
ejpam-3492	174	28	cañada	cañada	PROPN
ejpam-3492	174	29	,	,	PUNCT
ejpam-3492	174	30	p.	p.	NOUN
ejpam-3492	174	31	drab́ek	drab́ek	PROPN
ejpam-3492	174	32	&	&	CCONJ
ejpam-3492	174	33	a.	a.	PROPN
ejpam-3492	174	34	fonda	fonda	PROPN
ejpam-3492	174	35	,	,	PUNCT
ejpam-3492	174	36	editors	editor	NOUN
ejpam-3492	174	37	.	.	PUNCT
ejpam-3492	175	1	elsevier	elsevier	PROPN
ejpam-3492	175	2	north	north	PROPN
ejpam-3492	175	3	holland	holland	PROPN
ejpam-3492	175	4	2005	2005	NUM
ejpam-3492	175	5	.	.	PUNCT
ejpam-3492	176	1	[	[	X
ejpam-3492	176	2	21	21	NUM
ejpam-3492	176	3	]	]	X
ejpam-3492	176	4	s.-b	s.-b	PROPN
ejpam-3492	176	5	.	.	PROPN
ejpam-3492	176	6	hsu	hsu	PROPN
ejpam-3492	176	7	,	,	PUNCT
ejpam-3492	176	8	h.	h.	PROPN
ejpam-3492	176	9	smith	smith	PROPN
ejpam-3492	176	10	&	&	CCONJ
ejpam-3492	176	11	p.	p.	PROPN
ejpam-3492	176	12	waltman	waltman	PROPN
ejpam-3492	176	13	,	,	PUNCT
ejpam-3492	176	14	dynamics	dynamic	NOUN
ejpam-3492	176	15	of	of	ADP
ejpam-3492	176	16	competition	competition	NOUN
ejpam-3492	176	17	in	in	ADP
ejpam-3492	176	18	the	the	DET
ejpam-3492	176	19	unstirred	unstirred	ADJ
ejpam-3492	176	20	chemostat	chemostat	NOUN
ejpam-3492	176	21	,	,	PUNCT
ejpam-3492	176	22	canadian	canadian	ADJ
ejpam-3492	176	23	appl	appl	PROPN
ejpam-3492	176	24	.	.	PUNCT
ejpam-3492	177	1	math	math	NOUN
ejpam-3492	177	2	.	.	PUNCT
ejpam-3492	178	1	quart	quart	NOUN
ejpam-3492	178	2	.	.	PUNCT
ejpam-3492	179	1	2	2	NUM
ejpam-3492	179	2	(	(	PUNCT
ejpam-3492	179	3	1994	1994	NUM
ejpam-3492	179	4	)	)	PUNCT
ejpam-3492	179	5	,	,	PUNCT
ejpam-3492	179	6	461–483	461–483	NUM
ejpam-3492	179	7	.	.	PUNCT
ejpam-3492	180	1	[	[	X
ejpam-3492	180	2	22	22	NUM
ejpam-3492	180	3	]	]	PUNCT
ejpam-3492	180	4	a.	a.	NOUN
ejpam-3492	180	5	kolesov	kolesov	PROPN
ejpam-3492	180	6	&	&	CCONJ
ejpam-3492	180	7	n.	n.	PROPN
ejpam-3492	180	8	rozov	rozov	PROPN
ejpam-3492	180	9	,	,	PUNCT
ejpam-3492	180	10	on	on	ADP
ejpam-3492	180	11	the	the	DET
ejpam-3492	180	12	definition	definition	NOUN
ejpam-3492	180	13	of	of	ADP
ejpam-3492	180	14	chaos	chaos	NOUN
ejpam-3492	180	15	,	,	PUNCT
ejpam-3492	180	16	uspekhi	uspekhi	PROPN
ejpam-3492	180	17	mat	mat	PROPN
ejpam-3492	180	18	.	.	PUNCT
ejpam-3492	181	1	nauk	nauk	PROPN
ejpam-3492	181	2	64	64	NUM
ejpam-3492	181	3	(	(	PUNCT
ejpam-3492	181	4	2009	2009	NUM
ejpam-3492	181	5	)	)	PUNCT
ejpam-3492	181	6	,	,	PUNCT
ejpam-3492	181	7	125–172	125–172	NUM
ejpam-3492	181	8	;	;	PUNCT
ejpam-3492	181	9	translation	translation	NOUN
ejpam-3492	181	10	744	744	NUM
ejpam-3492	181	11	.	.	PUNCT
ejpam-3492	181	12	russian	russian	ADJ
ejpam-3492	181	13	math	math	NOUN
ejpam-3492	181	14	.	.	PUNCT
ejpam-3492	182	1	surveys	survey	NOUN
ejpam-3492	182	2	64	64	NUM
ejpam-3492	182	3	(	(	PUNCT
ejpam-3492	182	4	2009	2009	NUM
ejpam-3492	182	5	)	)	PUNCT
ejpam-3492	182	6	,	,	PUNCT
ejpam-3492	182	7	no	no	INTJ
ejpam-3492	182	8	.	.	NOUN
ejpam-3492	182	9	4	4	NUM
ejpam-3492	182	10	,	,	PUNCT
ejpam-3492	182	11	701–744	701–744	NUM
ejpam-3492	182	12	.	.	PUNCT
ejpam-3492	183	1	references	reference	NOUN
ejpam-3492	183	2	687	687	NUM
ejpam-3492	183	3	[	[	X
ejpam-3492	183	4	23	23	NUM
ejpam-3492	183	5	]	]	PUNCT
ejpam-3492	183	6	m.	m.	NOUN
ejpam-3492	183	7	kulczycki	kulczycki	PROPN
ejpam-3492	183	8	,	,	PUNCT
ejpam-3492	183	9	noncontinuous	noncontinuous	ADJ
ejpam-3492	183	10	maps	map	NOUN
ejpam-3492	183	11	and	and	CCONJ
ejpam-3492	183	12	devaney	devaney	PROPN
ejpam-3492	183	13	’s	’s	PART
ejpam-3492	183	14	chaos	chaos	NOUN
ejpam-3492	183	15	,	,	PUNCT
ejpam-3492	183	16	regular	regular	ADJ
ejpam-3492	183	17	&	&	CCONJ
ejpam-3492	183	18	chaotic	chaotic	ADJ
ejpam-3492	183	19	dyn	dyn	NOUN
ejpam-3492	183	20	.	.	PUNCT
ejpam-3492	184	1	13	13	NUM
ejpam-3492	184	2	(	(	PUNCT
ejpam-3492	184	3	2008	2008	NUM
ejpam-3492	184	4	)	)	PUNCT
ejpam-3492	184	5	,	,	PUNCT
ejpam-3492	184	6	no	no	INTJ
ejpam-3492	184	7	.	.	NOUN
ejpam-3492	184	8	2	2	NUM
ejpam-3492	184	9	,	,	PUNCT
ejpam-3492	184	10	81–84	81–84	NOUN
ejpam-3492	184	11	.	.	PUNCT
ejpam-3492	185	1	[	[	X
ejpam-3492	185	2	24	24	NUM
ejpam-3492	185	3	]	]	PUNCT
ejpam-3492	185	4	a.	a.	NOUN
ejpam-3492	185	5	lajmanovich	lajmanovich	PROPN
ejpam-3492	185	6	&	&	CCONJ
ejpam-3492	185	7	j.	j.	PROPN
ejpam-3492	185	8	yorke	yorke	PROPN
ejpam-3492	185	9	,	,	PUNCT
ejpam-3492	185	10	a	a	DET
ejpam-3492	185	11	deterministic	deterministic	ADJ
ejpam-3492	185	12	model	model	NOUN
ejpam-3492	185	13	for	for	ADP
ejpam-3492	185	14	gonorrhea	gonorrhea	NOUN
ejpam-3492	185	15	in	in	ADP
ejpam-3492	185	16	a	a	DET
ejpam-3492	185	17	nonhomogeneous	nonhomogeneous	ADJ
ejpam-3492	185	18	population	population	NOUN
ejpam-3492	185	19	,	,	PUNCT
ejpam-3492	185	20	math	math	NOUN
ejpam-3492	185	21	.	.	PUNCT
ejpam-3492	186	1	biosciences	bioscience	NOUN
ejpam-3492	186	2	28	28	NUM
ejpam-3492	186	3	(	(	PUNCT
ejpam-3492	186	4	1976	1976	NUM
ejpam-3492	186	5	)	)	PUNCT
ejpam-3492	186	6	,	,	PUNCT
ejpam-3492	186	7	221–236	221–236	NUM
ejpam-3492	186	8	.	.	PUNCT
ejpam-3492	187	1	[	[	X
ejpam-3492	187	2	25	25	NUM
ejpam-3492	187	3	]	]	PUNCT
ejpam-3492	187	4	a.	a.	NOUN
ejpam-3492	187	5	landsberg	landsberg	PROPN
ejpam-3492	187	6	&	&	CCONJ
ejpam-3492	187	7	e.	e.	PROPN
ejpam-3492	187	8	friedman	friedman	PROPN
ejpam-3492	187	9	,	,	PUNCT
ejpam-3492	187	10	dynamical	dynamical	ADJ
ejpam-3492	187	11	effects	effect	NOUN
ejpam-3492	187	12	of	of	ADP
ejpam-3492	187	13	partial	partial	ADJ
ejpam-3492	187	14	orderings	ordering	NOUN
ejpam-3492	187	15	in	in	ADP
ejpam-3492	187	16	physical	physical	ADJ
ejpam-3492	187	17	systems	system	NOUN
ejpam-3492	187	18	,	,	PUNCT
ejpam-3492	187	19	physical	physical	ADJ
ejpam-3492	187	20	review	review	NOUN
ejpam-3492	187	21	e	e	PROPN
ejpam-3492	187	22	54	54	NUM
ejpam-3492	187	23	(	(	PUNCT
ejpam-3492	187	24	1996	1996	NUM
ejpam-3492	187	25	)	)	PUNCT
ejpam-3492	187	26	,	,	PUNCT
ejpam-3492	187	27	3135–3141	3135–3141	NUM
ejpam-3492	187	28	.	.	PUNCT
ejpam-3492	188	1	[	[	X
ejpam-3492	188	2	26	26	NUM
ejpam-3492	188	3	]	]	X
ejpam-3492	188	4	e.	e.	PROPN
ejpam-3492	188	5	lorenz	lorenz	PROPN
ejpam-3492	188	6	,	,	PUNCT
ejpam-3492	188	7	deterministic	deterministic	ADJ
ejpam-3492	188	8	non	non	ADJ
ejpam-3492	188	9	-	-	ADJ
ejpam-3492	188	10	periodic	periodic	ADJ
ejpam-3492	188	11	flow	flow	NOUN
ejpam-3492	188	12	,	,	PUNCT
ejpam-3492	188	13	j.	j.	PROPN
ejpam-3492	188	14	atmos	atmos	PROPN
ejpam-3492	188	15	.	.	PUNCT
ejpam-3492	189	1	sci	sci	PROPN
ejpam-3492	189	2	.	.	PROPN
ejpam-3492	189	3	20	20	NUM
ejpam-3492	189	4	(	(	PUNCT
ejpam-3492	189	5	1963	1963	NUM
ejpam-3492	189	6	)	)	PUNCT
ejpam-3492	189	7	,	,	PUNCT
ejpam-3492	189	8	130–141	130–141	NUM
ejpam-3492	189	9	.	.	PUNCT
ejpam-3492	190	1	[	[	X
ejpam-3492	190	2	27	27	NUM
ejpam-3492	190	3	]	]	X
ejpam-3492	190	4	j.	j.	PROPN
ejpam-3492	190	5	mallet	mallet	PROPN
ejpam-3492	190	6	-	-	PUNCT
ejpam-3492	190	7	paret	paret	PROPN
ejpam-3492	190	8	&	&	CCONJ
ejpam-3492	190	9	h.	h.	PROPN
ejpam-3492	190	10	smith	smith	PROPN
ejpam-3492	190	11	,	,	PUNCT
ejpam-3492	190	12	the	the	DET
ejpam-3492	190	13	poincaré-bendixson	poincaré-bendixson	NOUN
ejpam-3492	190	14	theorem	theorem	VERB
ejpam-3492	190	15	for	for	ADP
ejpam-3492	190	16	monotone	monotone	ADJ
ejpam-3492	190	17	cyclic	cyclic	ADJ
ejpam-3492	190	18	feedback	feedback	NOUN
ejpam-3492	190	19	systems	system	NOUN
ejpam-3492	190	20	,	,	PUNCT
ejpam-3492	190	21	j.	j.	PROPN
ejpam-3492	190	22	dynamics	dynamics	PROPN
ejpam-3492	190	23	and	and	CCONJ
ejpam-3492	190	24	diff	diff	PROPN
ejpam-3492	190	25	.	.	PUNCT
ejpam-3492	191	1	equations	equation	NOUN
ejpam-3492	191	2	2	2	NUM
ejpam-3492	191	3	(	(	PUNCT
ejpam-3492	191	4	1990	1990	NUM
ejpam-3492	191	5	)	)	PUNCT
ejpam-3492	191	6	,	,	PUNCT
ejpam-3492	191	7	367–421	367–421	NUM
ejpam-3492	191	8	.	.	PUNCT
ejpam-3492	192	1	[	[	X
ejpam-3492	192	2	28	28	NUM
ejpam-3492	192	3	]	]	X
ejpam-3492	192	4	c.	c.	PROPN
ejpam-3492	192	5	potzsche	potzsche	PROPN
ejpam-3492	192	6	,	,	PUNCT
ejpam-3492	192	7	order	order	NOUN
ejpam-3492	192	8	-	-	PUNCT
ejpam-3492	192	9	preserving	preserve	VERB
ejpam-3492	192	10	nonautonomous	nonautonomous	ADJ
ejpam-3492	192	11	discrete	discrete	ADJ
ejpam-3492	192	12	dynamics	dynamic	NOUN
ejpam-3492	192	13	:	:	PUNCT
ejpam-3492	192	14	attractors	attractor	NOUN
ejpam-3492	192	15	and	and	CCONJ
ejpam-3492	192	16	entire	entire	ADJ
ejpam-3492	192	17	solutions	solution	NOUN
ejpam-3492	192	18	positivity	positivity	NOUN
ejpam-3492	192	19	19	19	NUM
ejpam-3492	192	20	(	(	PUNCT
ejpam-3492	192	21	2015	2015	NUM
ejpam-3492	192	22	)	)	PUNCT
ejpam-3492	192	23	,	,	PUNCT
ejpam-3492	192	24	547–576	547–576	NUM
ejpam-3492	192	25	.	.	PUNCT
ejpam-3492	193	1	[	[	X
ejpam-3492	193	2	29	29	NUM
ejpam-3492	193	3	]	]	X
ejpam-3492	193	4	s.	s.	PROPN
ejpam-3492	193	5	silverman	silverman	PROPN
ejpam-3492	193	6	,	,	PUNCT
ejpam-3492	193	7	on	on	ADP
ejpam-3492	193	8	maps	map	NOUN
ejpam-3492	193	9	with	with	ADP
ejpam-3492	193	10	dense	dense	ADJ
ejpam-3492	193	11	orbits	orbit	NOUN
ejpam-3492	193	12	and	and	CCONJ
ejpam-3492	193	13	the	the	DET
ejpam-3492	193	14	definition	definition	NOUN
ejpam-3492	193	15	of	of	ADP
ejpam-3492	193	16	chaos	chaos	NOUN
ejpam-3492	193	17	,	,	PUNCT
ejpam-3492	193	18	rocky	rocky	ADJ
ejpam-3492	193	19	mountain	mountain	NOUN
ejpam-3492	193	20	j.	j.	PROPN
ejpam-3492	193	21	math	math	PROPN
ejpam-3492	193	22	.	.	PUNCT
ejpam-3492	194	1	22	22	NUM
ejpam-3492	194	2	(	(	PUNCT
ejpam-3492	194	3	1992	1992	NUM
ejpam-3492	194	4	)	)	PUNCT
ejpam-3492	194	5	,	,	PUNCT
ejpam-3492	195	1	332–334	332–334	NUM
ejpam-3492	196	1	[	[	X
ejpam-3492	196	2	30	30	NUM
ejpam-3492	196	3	]	]	X
ejpam-3492	196	4	s.	s.	PROPN
ejpam-3492	196	5	smale	smale	PROPN
ejpam-3492	196	6	,	,	PUNCT
ejpam-3492	196	7	on	on	ADP
ejpam-3492	196	8	the	the	DET
ejpam-3492	196	9	differential	differential	ADJ
ejpam-3492	196	10	equations	equation	NOUN
ejpam-3492	196	11	of	of	ADP
ejpam-3492	196	12	species	specie	NOUN
ejpam-3492	196	13	in	in	ADP
ejpam-3492	196	14	competition	competition	NOUN
ejpam-3492	196	15	,	,	PUNCT
ejpam-3492	196	16	j.	j.	PROPN
ejpam-3492	196	17	math	math	PROPN
ejpam-3492	196	18	.	.	PUNCT
ejpam-3492	197	1	biol	biol	PROPN
ejpam-3492	197	2	.	.	PUNCT
ejpam-3492	198	1	3	3	NUM
ejpam-3492	198	2	(	(	PUNCT
ejpam-3492	198	3	1976	1976	NUM
ejpam-3492	198	4	)	)	PUNCT
ejpam-3492	198	5	,	,	PUNCT
ejpam-3492	198	6	5–7	5–7	X
ejpam-3492	198	7	.	.	PUNCT
ejpam-3492	199	1	[	[	X
ejpam-3492	199	2	31	31	NUM
ejpam-3492	199	3	]	]	PUNCT
ejpam-3492	199	4	j.	j.	PROPN
ejpam-3492	199	5	selgrade	selgrade	PROPN
ejpam-3492	199	6	,	,	PUNCT
ejpam-3492	199	7	asymptotic	asymptotic	ADJ
ejpam-3492	199	8	behavior	behavior	NOUN
ejpam-3492	199	9	of	of	ADP
ejpam-3492	199	10	solutions	solution	NOUN
ejpam-3492	199	11	to	to	ADP
ejpam-3492	199	12	single	single	ADJ
ejpam-3492	199	13	loop	loop	VERB
ejpam-3492	199	14	positive	positive	ADJ
ejpam-3492	199	15	feedback	feedback	NOUN
ejpam-3492	199	16	systems	system	NOUN
ejpam-3492	199	17	,	,	PUNCT
ejpam-3492	199	18	j.	j.	PROPN
ejpam-3492	199	19	diff	diff	PROPN
ejpam-3492	199	20	.	.	PUNCT
ejpam-3492	200	1	eqns	eqns	PROPN
ejpam-3492	200	2	.	.	PUNCT
ejpam-3492	201	1	38	38	NUM
ejpam-3492	201	2	(	(	PUNCT
ejpam-3492	201	3	1980	1980	NUM
ejpam-3492	201	4	)	)	PUNCT
ejpam-3492	201	5	,	,	PUNCT
ejpam-3492	201	6	80–103	80–103	NUM
ejpam-3492	201	7	.	.	PUNCT
ejpam-3492	202	1	[	[	X
ejpam-3492	202	2	32	32	NUM
ejpam-3492	202	3	]	]	PUNCT
ejpam-3492	202	4	j.	j.	PROPN
ejpam-3492	202	5	smillie	smillie	PROPN
ejpam-3492	202	6	,	,	PUNCT
ejpam-3492	202	7	competitive	competitive	ADJ
ejpam-3492	202	8	and	and	CCONJ
ejpam-3492	202	9	cooperative	cooperative	ADJ
ejpam-3492	202	10	tridiagonal	tridiagonal	ADJ
ejpam-3492	202	11	systems	system	NOUN
ejpam-3492	202	12	of	of	ADP
ejpam-3492	202	13	differential	differential	ADJ
ejpam-3492	202	14	equations	equation	NOUN
ejpam-3492	202	15	,	,	PUNCT
ejpam-3492	202	16	siam	siam	PROPN
ejpam-3492	202	17	j.	j.	PROPN
ejpam-3492	202	18	math	math	PROPN
ejpam-3492	202	19	.	.	PUNCT
ejpam-3492	203	1	anal	anal	PROPN
ejpam-3492	203	2	.	.	PUNCT
ejpam-3492	204	1	15	15	NUM
ejpam-3492	204	2	(	(	PUNCT
ejpam-3492	204	3	1984	1984	NUM
ejpam-3492	204	4	)	)	PUNCT
ejpam-3492	204	5	,	,	PUNCT
ejpam-3492	204	6	530–534	530–534	NUM
ejpam-3492	204	7	.	.	PUNCT
ejpam-3492	205	1	[	[	X
ejpam-3492	205	2	33	33	NUM
ejpam-3492	205	3	]	]	PUNCT
ejpam-3492	205	4	h.	h.	PROPN
ejpam-3492	205	5	smith	smith	PROPN
ejpam-3492	205	6	,	,	PUNCT
ejpam-3492	205	7	periodic	periodic	ADJ
ejpam-3492	205	8	competitive	competitive	ADJ
ejpam-3492	205	9	differential	differential	ADJ
ejpam-3492	205	10	equations	equation	NOUN
ejpam-3492	205	11	and	and	CCONJ
ejpam-3492	205	12	the	the	DET
ejpam-3492	205	13	discrete	discrete	ADJ
ejpam-3492	205	14	dynamics	dynamic	NOUN
ejpam-3492	205	15	of	of	ADP
ejpam-3492	205	16	competitive	competitive	ADJ
ejpam-3492	205	17	maps	map	NOUN
ejpam-3492	205	18	,	,	PUNCT
ejpam-3492	205	19	j.	j.	PROPN
ejpam-3492	205	20	diff	diff	PROPN
ejpam-3492	205	21	.	.	PUNCT
ejpam-3492	205	22	eqns	eqns	PROPN
ejpam-3492	205	23	.	.	PUNCT
ejpam-3492	206	1	64	64	NUM
ejpam-3492	206	2	(	(	PUNCT
ejpam-3492	206	3	1986	1986	NUM
ejpam-3492	206	4	)	)	PUNCT
ejpam-3492	206	5	,	,	PUNCT
ejpam-3492	206	6	165–194	165–194	NUM
ejpam-3492	206	7	.	.	PUNCT
ejpam-3492	207	1	[	[	X
ejpam-3492	207	2	34	34	NUM
ejpam-3492	207	3	]	]	X
ejpam-3492	207	4	h.	h.	PROPN
ejpam-3492	207	5	smith	smith	PROPN
ejpam-3492	207	6	,	,	PUNCT
ejpam-3492	207	7	“	"	PUNCT
ejpam-3492	207	8	monotone	monotone	ADJ
ejpam-3492	207	9	dynamical	dynamical	ADJ
ejpam-3492	207	10	systems	system	NOUN
ejpam-3492	207	11	:	:	PUNCT
ejpam-3492	207	12	an	an	DET
ejpam-3492	207	13	introduction	introduction	NOUN
ejpam-3492	207	14	to	to	ADP
ejpam-3492	207	15	the	the	DET
ejpam-3492	207	16	theory	theory	NOUN
ejpam-3492	207	17	of	of	ADP
ejpam-3492	207	18	competitive	competitive	ADJ
ejpam-3492	207	19	and	and	CCONJ
ejpam-3492	207	20	cooperative	cooperative	ADJ
ejpam-3492	207	21	systems	system	NOUN
ejpam-3492	207	22	,	,	PUNCT
ejpam-3492	207	23	”	"	PUNCT
ejpam-3492	207	24	amer	amer	PROPN
ejpam-3492	207	25	.	.	PUNCT
ejpam-3492	207	26	math	math	PROPN
ejpam-3492	207	27	.	.	PUNCT
ejpam-3492	208	1	soc	soc	PROPN
ejpam-3492	208	2	.	.	PUNCT
ejpam-3492	209	1	surveys	survey	NOUN
ejpam-3492	209	2	and	and	CCONJ
ejpam-3492	209	3	monographs	monograph	NOUN
ejpam-3492	209	4	41	41	NUM
ejpam-3492	209	5	,	,	PUNCT
ejpam-3492	209	6	1995	1995	NUM
ejpam-3492	209	7	.	.	PUNCT
ejpam-3492	210	1	[	[	X
ejpam-3492	210	2	35	35	NUM
ejpam-3492	210	3	]	]	X
ejpam-3492	210	4	h.	h.	PROPN
ejpam-3492	210	5	smith	smith	PROPN
ejpam-3492	210	6	,	,	PUNCT
ejpam-3492	210	7	monotone	monotone	ADJ
ejpam-3492	210	8	dynamical	dynamical	ADJ
ejpam-3492	210	9	systems	system	NOUN
ejpam-3492	210	10	:	:	PUNCT
ejpam-3492	210	11	reflections	reflection	NOUN
ejpam-3492	210	12	on	on	ADP
ejpam-3492	210	13	new	new	ADJ
ejpam-3492	210	14	advances	advance	NOUN
ejpam-3492	210	15	&	&	CCONJ
ejpam-3492	210	16	applications	application	NOUN
ejpam-3492	210	17	,	,	PUNCT
ejpam-3492	210	18	disc	disc	NOUN
ejpam-3492	210	19	.	.	PUNCT
ejpam-3492	210	20	&	&	CCONJ
ejpam-3492	210	21	cont	cont	PROPN
ejpam-3492	210	22	.	.	PUNCT
ejpam-3492	211	1	dyn	dyn	NOUN
ejpam-3492	211	2	.	.	PUNCT
ejpam-3492	212	1	systems	system	NOUN
ejpam-3492	212	2	series	series	PROPN
ejpam-3492	212	3	b	b	PROPN
ejpam-3492	212	4	37	37	NUM
ejpam-3492	212	5	(	(	PUNCT
ejpam-3492	212	6	2017	2017	NUM
ejpam-3492	212	7	)	)	PUNCT
ejpam-3492	212	8	,	,	PUNCT
ejpam-3492	212	9	no	no	INTJ
ejpam-3492	212	10	.	.	NOUN
ejpam-3492	212	11	1	1	NUM
ejpam-3492	212	12	,	,	PUNCT
ejpam-3492	212	13	485–504	485–504	NUM
ejpam-3492	212	14	.	.	PUNCT
ejpam-3492	213	1	[	[	X
ejpam-3492	213	2	36	36	NUM
ejpam-3492	213	3	]	]	X
ejpam-3492	213	4	i.	i.	PROPN
ejpam-3492	213	5	stewart	stewart	PROPN
ejpam-3492	213	6	,	,	PUNCT
ejpam-3492	213	7	the	the	DET
ejpam-3492	213	8	lorenz	lorenz	PROPN
ejpam-3492	213	9	attractor	attractor	NOUN
ejpam-3492	213	10	exists	exist	VERB
ejpam-3492	213	11	,	,	PUNCT
ejpam-3492	213	12	nature	nature	NOUN
ejpam-3492	213	13	406	406	NUM
ejpam-3492	213	14	(	(	PUNCT
ejpam-3492	213	15	2000	2000	NUM
ejpam-3492	213	16	)	)	PUNCT
ejpam-3492	213	17	,	,	PUNCT
ejpam-3492	213	18	948–949	948–949	NUM
ejpam-3492	213	19	.	.	PUNCT
ejpam-3492	214	1	[	[	X
ejpam-3492	214	2	37	37	NUM
ejpam-3492	214	3	]	]	X
ejpam-3492	214	4	v.	v.	ADP
ejpam-3492	214	5	to	to	PART
ejpam-3492	214	6	,	,	PUNCT
ejpam-3492	214	7	a	a	DET
ejpam-3492	214	8	note	note	NOUN
ejpam-3492	214	9	on	on	ADP
ejpam-3492	214	10	devaney	devaney	PROPN
ejpam-3492	214	11	’s	’s	PART
ejpam-3492	214	12	definition	definition	NOUN
ejpam-3492	214	13	of	of	ADP
ejpam-3492	214	14	chaos	chaos	NOUN
ejpam-3492	214	15	,	,	PUNCT
ejpam-3492	214	16	j.	j.	PROPN
ejpam-3492	214	17	dyn	dyn	PROPN
ejpam-3492	214	18	.	.	PUNCT
ejpam-3492	215	1	syst	syst	PROPN
ejpam-3492	215	2	.	.	PUNCT
ejpam-3492	216	1	geom	geom	PROPN
ejpam-3492	216	2	.	.	PUNCT
ejpam-3492	217	1	theor	theor	PROPN
ejpam-3492	217	2	.	.	PROPN
ejpam-3492	218	1	2	2	NUM
ejpam-3492	218	2	(	(	PUNCT
ejpam-3492	218	3	2004	2004	NUM
ejpam-3492	218	4	)	)	PUNCT
ejpam-3492	218	5	,	,	PUNCT
ejpam-3492	218	6	23–26	23–26	NUM
ejpam-3492	218	7	.	.	PUNCT
ejpam-3492	219	1	[	[	X
ejpam-3492	219	2	38	38	NUM
ejpam-3492	219	3	]	]	PUNCT
ejpam-3492	219	4	p.	p.	NOUN
ejpam-3492	219	5	touhey	touhey	PROPN
ejpam-3492	219	6	,	,	PUNCT
ejpam-3492	219	7	yet	yet	CCONJ
ejpam-3492	219	8	another	another	DET
ejpam-3492	219	9	definition	definition	NOUN
ejpam-3492	219	10	of	of	ADP
ejpam-3492	219	11	chaos	chaos	NOUN
ejpam-3492	219	12	,	,	PUNCT
ejpam-3492	219	13	amer	amer	PROPN
ejpam-3492	219	14	.	.	PROPN
ejpam-3492	219	15	math	math	PROPN
ejpam-3492	219	16	.	.	PUNCT
ejpam-3492	220	1	monthly	monthly	ADJ
ejpam-3492	220	2	104	104	NUM
ejpam-3492	220	3	(	(	PUNCT
ejpam-3492	220	4	1997	1997	NUM
ejpam-3492	220	5	)	)	PUNCT
ejpam-3492	220	6	,	,	PUNCT
ejpam-3492	220	7	no	no	INTJ
ejpam-3492	220	8	.	.	NOUN
ejpam-3492	220	9	5	5	NUM
ejpam-3492	220	10	,	,	PUNCT
ejpam-3492	220	11	411–414	411–414	NUM
ejpam-3492	220	12	.	.	PUNCT
ejpam-3492	221	1	[	[	X
ejpam-3492	221	2	39	39	NUM
ejpam-3492	221	3	]	]	PUNCT
ejpam-3492	221	4	p.	p.	NOUN
ejpam-3492	221	5	touhey	touhey	PROPN
ejpam-3492	221	6	,	,	PUNCT
ejpam-3492	221	7	chaos	chaos	NOUN
ejpam-3492	221	8	:	:	PUNCT
ejpam-3492	221	9	the	the	DET
ejpam-3492	221	10	evolution	evolution	NOUN
ejpam-3492	221	11	of	of	ADP
ejpam-3492	221	12	a	a	DET
ejpam-3492	221	13	definition	definition	NOUN
ejpam-3492	221	14	,	,	PUNCT
ejpam-3492	221	15	irish	irish	ADJ
ejpam-3492	221	16	math	math	NOUN
ejpam-3492	221	17	.	.	PUNCT
ejpam-3492	222	1	soc	soc	PROPN
ejpam-3492	222	2	.	.	PUNCT
ejpam-3492	223	1	bull	bull	NOUN
ejpam-3492	223	2	.	.	PUNCT
ejpam-3492	224	1	no	no	INTJ
ejpam-3492	224	2	.	.	NOUN
ejpam-3492	225	1	40	40	NUM
ejpam-3492	225	2	(	(	PUNCT
ejpam-3492	225	3	1998	1998	NUM
ejpam-3492	225	4	)	)	PUNCT
ejpam-3492	225	5	,	,	PUNCT
ejpam-3492	225	6	60–70	60–70	NUM
ejpam-3492	225	7	.	.	PUNCT
ejpam-3492	226	1	[	[	X
ejpam-3492	226	2	40	40	NUM
ejpam-3492	226	3	]	]	PUNCT
ejpam-3492	226	4	p.	p.	NOUN
ejpam-3492	226	5	touhey	touhey	PROPN
ejpam-3492	226	6	,	,	PUNCT
ejpam-3492	226	7	persistent	persistent	ADJ
ejpam-3492	226	8	properties	property	NOUN
ejpam-3492	226	9	of	of	ADP
ejpam-3492	226	10	chaos	chaos	NOUN
ejpam-3492	226	11	,	,	PUNCT
ejpam-3492	226	12	j.	j.	PROPN
ejpam-3492	226	13	differ	differ	VERB
ejpam-3492	226	14	.	.	PUNCT
ejpam-3492	227	1	equations	equation	NOUN
ejpam-3492	227	2	appl	appl	PROPN
ejpam-3492	227	3	.	.	PROPN
ejpam-3492	227	4	6	6	NUM
ejpam-3492	227	5	(	(	PUNCT
ejpam-3492	227	6	2000	2000	NUM
ejpam-3492	227	7	)	)	PUNCT
ejpam-3492	227	8	,	,	PUNCT
ejpam-3492	227	9	no	no	INTJ
ejpam-3492	227	10	.	.	NOUN
ejpam-3492	227	11	3	3	NUM
ejpam-3492	227	12	,	,	PUNCT
ejpam-3492	227	13	249–256	249–256	NUM
ejpam-3492	227	14	.	.	PUNCT
ejpam-3492	228	1	[	[	X
ejpam-3492	228	2	41	41	NUM
ejpam-3492	228	3	]	]	X
ejpam-3492	228	4	w.	w.	PROPN
ejpam-3492	228	5	tucker	tucker	PROPN
ejpam-3492	228	6	,	,	PUNCT
ejpam-3492	228	7	the	the	DET
ejpam-3492	228	8	lorenz	lorenz	PROPN
ejpam-3492	228	9	attractor	attractor	NOUN
ejpam-3492	228	10	exists	exist	VERB
ejpam-3492	228	11	,	,	PUNCT
ejpam-3492	228	12	c.	c.	PROPN
ejpam-3492	228	13	r.	r.	PROPN
ejpam-3492	228	14	acad	acad	PROPN
ejpam-3492	228	15	.	.	PUNCT
ejpam-3492	229	1	sci	sci	PROPN
ejpam-3492	229	2	.	.	PROPN
ejpam-3492	229	3	paris	paris	PROPN
ejpam-3492	229	4	,	,	PUNCT
ejpam-3492	229	5	t.	t.	PROPN
ejpam-3492	229	6	328	328	NUM
ejpam-3492	229	7	,	,	PUNCT
ejpam-3492	229	8	série	série	PROPN
ejpam-3492	229	9	i	i	PRON
ejpam-3492	229	10	(	(	PUNCT
ejpam-3492	229	11	1999	1999	NUM
ejpam-3492	229	12	)	)	PUNCT
ejpam-3492	229	13	,	,	PUNCT
ejpam-3492	229	14	1197	1197	NUM
ejpam-3492	229	15	–	–	PUNCT
ejpam-3492	229	16	1202	1202	NUM
ejpam-3492	229	17	.	.	PUNCT
ejpam-3492	230	1	references	reference	NOUN
ejpam-3492	230	2	688	688	NUM
ejpam-3492	230	3	[	[	SYM
ejpam-3492	230	4	42	42	NUM
ejpam-3492	230	5	]	]	PUNCT
ejpam-3492	230	6	m.	m.	NOUN
ejpam-3492	230	7	viana	viana	PROPN
ejpam-3492	230	8	,	,	PUNCT
ejpam-3492	230	9	what	what	PRON
ejpam-3492	230	10	’s	’	VERB
ejpam-3492	230	11	new	new	ADJ
ejpam-3492	230	12	on	on	ADP
ejpam-3492	230	13	lorenz	lorenz	PROPN
ejpam-3492	230	14	strange	strange	ADJ
ejpam-3492	230	15	attractors	attractor	NOUN
ejpam-3492	230	16	?	?	PUNCT
ejpam-3492	231	1	math	math	NOUN
ejpam-3492	231	2	.	.	PUNCT
ejpam-3492	232	1	intelligencer	intelligencer	PROPN
ejpam-3492	232	2	22	22	NUM
ejpam-3492	232	3	(	(	PUNCT
ejpam-3492	232	4	2000	2000	NUM
ejpam-3492	232	5	)	)	PUNCT
ejpam-3492	232	6	,	,	PUNCT
ejpam-3492	232	7	6	6	NUM
ejpam-3492	232	8	-	-	SYM
ejpam-3492	232	9	19	19	NUM
ejpam-3492	232	10	.	.	PUNCT
ejpam-3492	233	1	[	[	X
ejpam-3492	233	2	43	43	NUM
ejpam-3492	233	3	]	]	X
ejpam-3492	233	4	r.	r.	PROPN
ejpam-3492	233	5	williams	williams	PROPN
ejpam-3492	233	6	,	,	PUNCT
ejpam-3492	233	7	the	the	DET
ejpam-3492	233	8	structure	structure	NOUN
ejpam-3492	233	9	of	of	ADP
ejpam-3492	233	10	lorenz	lorenz	PROPN
ejpam-3492	233	11	attractors	attractor	NOUN
ejpam-3492	233	12	,	,	PUNCT
ejpam-3492	233	13	publ	publ	NOUN
ejpam-3492	233	14	.	.	PUNCT
ejpam-3492	233	15	math	math	NOUN
ejpam-3492	233	16	.	.	PUNCT
ejpam-3492	234	1	ihes	ihe	VERB
ejpam-3492	234	2	50	50	NUM
ejpam-3492	234	3	(	(	PUNCT
ejpam-3492	234	4	1979	1979	NUM
ejpam-3492	234	5	)	)	PUNCT
ejpam-3492	234	6	,	,	PUNCT
ejpam-3492	234	7	73–99	73–99	NUM
ejpam-3492	234	8	.	.	PUNCT
ejpam-3492	235	1	[	[	X
ejpam-3492	235	2	44	44	NUM
ejpam-3492	235	3	]	]	PUNCT
ejpam-3492	235	4	x.-q	x.-q	PROPN
ejpam-3492	235	5	.	.	PUNCT
ejpam-3492	236	1	zhao	zhao	PROPN
ejpam-3492	236	2	,	,	PUNCT
ejpam-3492	236	3	global	global	ADJ
ejpam-3492	236	4	attractivity	attractivity	NOUN
ejpam-3492	236	5	and	and	CCONJ
ejpam-3492	236	6	stability	stability	NOUN
ejpam-3492	236	7	for	for	ADP
ejpam-3492	236	8	discrete	discrete	ADJ
ejpam-3492	236	9	strongly	strongly	ADV
ejpam-3492	236	10	monotone	monotone	ADJ
ejpam-3492	236	11	dynamical	dynamical	ADJ
ejpam-3492	236	12	systems	system	NOUN
ejpam-3492	236	13	with	with	ADP
ejpam-3492	236	14	applications	application	NOUN
ejpam-3492	236	15	to	to	ADP
ejpam-3492	236	16	biology	biology	NOUN
ejpam-3492	236	17	,	,	PUNCT
ejpam-3492	236	18	technical	technical	ADJ
ejpam-3492	236	19	report	report	NOUN
ejpam-3492	236	20	no	no	INTJ
ejpam-3492	236	21	.	.	PUNCT
ejpam-3492	236	22	94005	94005	NUM
ejpam-3492	236	23	.	.	PUNCT
ejpam-3492	237	1	beijing	beijing	PROPN
ejpam-3492	237	2	:	:	PUNCT
ejpam-3492	237	3	inst	inst	PROPN
ejpam-3492	237	4	.	.	PUNCT
ejpam-3492	238	1	appl	appl	PROPN
ejpam-3492	238	2	.	.	PROPN
ejpam-3492	238	3	math	math	PROPN
ejpam-3492	238	4	.	.	PUNCT
ejpam-3492	239	1	,	,	PUNCT
ejpam-3492	239	2	ac	ac	PROPN
ejpam-3492	239	3	.	.	PROPN
ejpam-3492	239	4	sinica	sinica	PROPN
ejpam-3492	239	5	(	(	PUNCT
ejpam-3492	239	6	1994	1994	NUM
ejpam-3492	239	7	)	)	PUNCT
ejpam-3492	239	8	.	.	PUNCT