id	sid	tid	token	lemma	pos
ejpam-6723	1	1	european	european	PROPN
ejpam-6723	1	2	journal	journal	PROPN
ejpam-6723	1	3	of	of	ADP
ejpam-6723	1	4	pure	pure	ADJ
ejpam-6723	1	5	and	and	CCONJ
ejpam-6723	1	6	applied	applied	ADJ
ejpam-6723	1	7	mathematics	mathematic	NOUN
ejpam-6723	1	8	2025	2025	NUM
ejpam-6723	1	9	,	,	PUNCT
ejpam-6723	1	10	vol	vol	NOUN
ejpam-6723	1	11	.	.	PROPN
ejpam-6723	1	12	18	18	NUM
ejpam-6723	1	13	,	,	PUNCT
ejpam-6723	1	14	issue	issue	NOUN
ejpam-6723	1	15	4	4	NUM
ejpam-6723	1	16	,	,	PUNCT
ejpam-6723	1	17	article	article	NOUN
ejpam-6723	1	18	number	number	NOUN
ejpam-6723	1	19	6723	6723	NUM
ejpam-6723	1	20	issn	issn	VERB
ejpam-6723	1	21	1307	1307	NUM
ejpam-6723	1	22	-	-	SYM
ejpam-6723	1	23	5543	5543	NUM
ejpam-6723	1	24	–	–	PUNCT
ejpam-6723	1	25	ejpam.com	ejpam.com	X
ejpam-6723	1	26	published	publish	VERB
ejpam-6723	1	27	by	by	ADP
ejpam-6723	1	28	new	new	PROPN
ejpam-6723	1	29	york	york	PROPN
ejpam-6723	1	30	business	business	PROPN
ejpam-6723	1	31	global	global	ADJ
ejpam-6723	1	32	frequency	frequency	NOUN
ejpam-6723	1	33	locking	locking	NOUN
ejpam-6723	1	34	and	and	CCONJ
ejpam-6723	1	35	bifurcation	bifurcation	NOUN
ejpam-6723	1	36	analysis	analysis	NOUN
ejpam-6723	1	37	in	in	ADP
ejpam-6723	1	38	asymmetrically	asymmetrically	ADV
ejpam-6723	1	39	forced	force	VERB
ejpam-6723	1	40	van	van	PROPN
ejpam-6723	1	41	der	der	PROPN
ejpam-6723	1	42	pol	pol	PROPN
ejpam-6723	1	43	-	-	PUNCT
ejpam-6723	1	44	duffing	duffing	NOUN
ejpam-6723	1	45	model	model	NOUN
ejpam-6723	1	46	of	of	ADP
ejpam-6723	1	47	glacial	glacial	ADJ
ejpam-6723	1	48	cycles	cycle	NOUN
ejpam-6723	1	49	ibrahim	ibrahim	PROPN
ejpam-6723	1	50	alraddadi	alraddadi	VERB
ejpam-6723	1	51	1,∗	1,∗	PROPN
ejpam-6723	1	52	,	,	PUNCT
ejpam-6723	1	53	saad	saad	PROPN
ejpam-6723	1	54	m.	m.	NOUN
ejpam-6723	1	55	almuaddi	almuaddi	NOUN
ejpam-6723	1	56	2,3,∗	2,3,∗	NUM
ejpam-6723	1	57	1	1	NUM
ejpam-6723	1	58	department	department	NOUN
ejpam-6723	1	59	of	of	ADP
ejpam-6723	1	60	mathematics	mathematic	NOUN
ejpam-6723	1	61	,	,	PUNCT
ejpam-6723	1	62	faculty	faculty	NOUN
ejpam-6723	1	63	of	of	ADP
ejpam-6723	1	64	science	science	NOUN
ejpam-6723	1	65	,	,	PUNCT
ejpam-6723	1	66	islamic	islamic	PROPN
ejpam-6723	1	67	university	university	PROPN
ejpam-6723	1	68	of	of	ADP
ejpam-6723	1	69	madinah	madinah	PROPN
ejpam-6723	1	70	,	,	PUNCT
ejpam-6723	1	71	madinah	madinah	PROPN
ejpam-6723	1	72	,	,	PUNCT
ejpam-6723	1	73	saudi	saudi	PROPN
ejpam-6723	1	74	arabia	arabia	PROPN
ejpam-6723	1	75	2	2	NUM
ejpam-6723	1	76	basic	basic	ADJ
ejpam-6723	1	77	applied	apply	VERB
ejpam-6723	1	78	scientific	scientific	ADJ
ejpam-6723	1	79	research	research	NOUN
ejpam-6723	1	80	center	center	NOUN
ejpam-6723	1	81	,	,	PUNCT
ejpam-6723	1	82	imam	imam	PROPN
ejpam-6723	1	83	abdulrahman	abdulrahman	PROPN
ejpam-6723	1	84	bin	bin	PROPN
ejpam-6723	1	85	faisal	faisal	PROPN
ejpam-6723	1	86	university	university	PROPN
ejpam-6723	1	87	,	,	PUNCT
ejpam-6723	1	88	p.o	p.o	PROPN
ejpam-6723	1	89	.	.	PROPN
ejpam-6723	1	90	box	box	PROPN
ejpam-6723	1	91	1982	1982	NUM
ejpam-6723	1	92	,	,	PUNCT
ejpam-6723	1	93	dammam	dammam	PROPN
ejpam-6723	1	94	31441	31441	NUM
ejpam-6723	1	95	,	,	PUNCT
ejpam-6723	1	96	saudi	saudi	PROPN
ejpam-6723	1	97	arabia	arabia	PROPN
ejpam-6723	1	98	3	3	NUM
ejpam-6723	1	99	mathematics	mathematics	PROPN
ejpam-6723	1	100	department	department	NOUN
ejpam-6723	1	101	,	,	PUNCT
ejpam-6723	1	102	college	college	NOUN
ejpam-6723	1	103	of	of	ADP
ejpam-6723	1	104	science	science	NOUN
ejpam-6723	1	105	,	,	PUNCT
ejpam-6723	1	106	imam	imam	PROPN
ejpam-6723	1	107	abdulrahman	abdulrahman	PROPN
ejpam-6723	1	108	bin	bin	PROPN
ejpam-6723	1	109	faisal	faisal	PROPN
ejpam-6723	1	110	university	university	PROPN
ejpam-6723	1	111	,	,	PUNCT
ejpam-6723	1	112	dammam	dammam	PROPN
ejpam-6723	1	113	31441	31441	NUM
ejpam-6723	1	114	,	,	PUNCT
ejpam-6723	1	115	saudi	saudi	PROPN
ejpam-6723	1	116	arabia	arabia	PROPN
ejpam-6723	1	117	abstract	abstract	NOUN
ejpam-6723	1	118	.	.	PUNCT
ejpam-6723	2	1	this	this	DET
ejpam-6723	2	2	paper	paper	NOUN
ejpam-6723	2	3	examines	examine	VERB
ejpam-6723	2	4	the	the	DET
ejpam-6723	2	5	application	application	NOUN
ejpam-6723	2	6	of	of	ADP
ejpam-6723	2	7	self	self	NOUN
ejpam-6723	2	8	-	-	PUNCT
ejpam-6723	2	9	sustained	sustain	VERB
ejpam-6723	2	10	oscillator	oscillator	NOUN
ejpam-6723	2	11	systems	system	NOUN
ejpam-6723	2	12	,	,	PUNCT
ejpam-6723	2	13	particularly	particularly	ADV
ejpam-6723	2	14	the	the	DET
ejpam-6723	2	15	van	van	PROPN
ejpam-6723	2	16	der	der	NOUN
ejpam-6723	2	17	pol	pol	PROPN
ejpam-6723	2	18	-	-	PUNCT
ejpam-6723	2	19	duffing	duffing	NOUN
ejpam-6723	2	20	oscillator	oscillator	NOUN
ejpam-6723	2	21	,	,	PUNCT
ejpam-6723	2	22	to	to	PART
ejpam-6723	2	23	understand	understand	VERB
ejpam-6723	2	24	the	the	DET
ejpam-6723	2	25	complex	complex	ADJ
ejpam-6723	2	26	dynamics	dynamic	NOUN
ejpam-6723	2	27	of	of	ADP
ejpam-6723	2	28	pleistocene	pleistocene	ADJ
ejpam-6723	2	29	glacial	glacial	ADJ
ejpam-6723	2	30	cycles	cycle	NOUN
ejpam-6723	2	31	.	.	PUNCT
ejpam-6723	3	1	we	we	PRON
ejpam-6723	3	2	investigate	investigate	VERB
ejpam-6723	3	3	how	how	SCONJ
ejpam-6723	3	4	asymmetric	asymmetric	ADJ
ejpam-6723	3	5	forcing	forcing	NOUN
ejpam-6723	3	6	(	(	PUNCT
ejpam-6723	3	7	β	β	X
ejpam-6723	3	8	̸=	̸=	PROPN
ejpam-6723	3	9	0	0	NUM
ejpam-6723	3	10	)	)	PUNCT
ejpam-6723	3	11	influences	influence	VERB
ejpam-6723	3	12	frequency	frequency	NOUN
ejpam-6723	3	13	locking	locking	NOUN
ejpam-6723	3	14	and	and	CCONJ
ejpam-6723	3	15	bifurcation	bifurcation	NOUN
ejpam-6723	3	16	behavior	behavior	NOUN
ejpam-6723	3	17	through	through	ADP
ejpam-6723	3	18	geometric	geometric	ADJ
ejpam-6723	3	19	singular	singular	ADJ
ejpam-6723	3	20	perturbation	perturbation	NOUN
ejpam-6723	3	21	theory	theory	NOUN
ejpam-6723	3	22	(	(	PUNCT
ejpam-6723	3	23	gspt	gspt	NOUN
ejpam-6723	3	24	)	)	PUNCT
ejpam-6723	3	25	analysis	analysis	NOUN
ejpam-6723	3	26	and	and	CCONJ
ejpam-6723	3	27	poincaré	poincaré	ADJ
ejpam-6723	3	28	return	return	NOUN
ejpam-6723	3	29	map	map	NOUN
ejpam-6723	3	30	construction	construction	NOUN
ejpam-6723	3	31	.	.	PUNCT
ejpam-6723	4	1	our	our	PRON
ejpam-6723	4	2	numerical	numerical	ADJ
ejpam-6723	4	3	results	result	NOUN
ejpam-6723	4	4	demonstrate	demonstrate	VERB
ejpam-6723	4	5	that	that	SCONJ
ejpam-6723	4	6	the	the	DET
ejpam-6723	4	7	van	van	PROPN
ejpam-6723	4	8	der	der	PROPN
ejpam-6723	4	9	pol	pol	PROPN
ejpam-6723	4	10	-	-	PUNCT
ejpam-6723	4	11	duffing	duffe	VERB
ejpam-6723	4	12	oscillator	oscillator	NOUN
ejpam-6723	4	13	possesses	possess	VERB
ejpam-6723	4	14	substantially	substantially	ADV
ejpam-6723	4	15	larger	large	ADJ
ejpam-6723	4	16	regions	region	NOUN
ejpam-6723	4	17	of	of	ADP
ejpam-6723	4	18	stable	stable	ADJ
ejpam-6723	4	19	periodic	periodic	ADJ
ejpam-6723	4	20	behavior	behavior	NOUN
ejpam-6723	4	21	in	in	ADP
ejpam-6723	4	22	parameter	parameter	NOUN
ejpam-6723	4	23	space	space	NOUN
ejpam-6723	4	24	compared	compare	VERB
ejpam-6723	4	25	to	to	ADP
ejpam-6723	4	26	standard	standard	ADJ
ejpam-6723	4	27	van	van	PROPN
ejpam-6723	4	28	der	der	ADJ
ejpam-6723	4	29	pol	pol	PROPN
ejpam-6723	4	30	oscillators	oscillator	NOUN
ejpam-6723	4	31	.	.	PUNCT
ejpam-6723	5	1	as	as	SCONJ
ejpam-6723	5	2	asymmetry	asymmetry	NOUN
ejpam-6723	5	3	increases	increase	NOUN
ejpam-6723	5	4	from	from	ADP
ejpam-6723	5	5	β	β	X
ejpam-6723	5	6	=	=	NOUN
ejpam-6723	5	7	0.25	0.25	NUM
ejpam-6723	5	8	to	to	ADP
ejpam-6723	5	9	β	β	X
ejpam-6723	5	10	=	=	SYM
ejpam-6723	5	11	1.2	1.2	NUM
ejpam-6723	5	12	,	,	PUNCT
ejpam-6723	5	13	we	we	PRON
ejpam-6723	5	14	observed	observe	VERB
ejpam-6723	5	15	progressive	progressive	ADJ
ejpam-6723	5	16	narrowing	narrowing	NOUN
ejpam-6723	5	17	of	of	ADP
ejpam-6723	5	18	arnold	arnold	PROPN
ejpam-6723	5	19	tongue	tongue	PROPN
ejpam-6723	5	20	structures	structure	NOUN
ejpam-6723	5	21	with	with	ADP
ejpam-6723	5	22	most	most	ADJ
ejpam-6723	5	23	frequency	frequency	NOUN
ejpam-6723	5	24	locking	locking	NOUN
ejpam-6723	5	25	regions	region	NOUN
ejpam-6723	5	26	requiring	require	VERB
ejpam-6723	5	27	stronger	strong	ADJ
ejpam-6723	5	28	forcing	force	VERB
ejpam-6723	5	29	amplitudes	amplitude	NOUN
ejpam-6723	5	30	(	(	PUNCT
ejpam-6723	5	31	a	a	DET
ejpam-6723	5	32	≥	≥	NOUN
ejpam-6723	5	33	1.5	1.5	NUM
ejpam-6723	5	34	)	)	PUNCT
ejpam-6723	5	35	to	to	PART
ejpam-6723	5	36	initiate	initiate	VERB
ejpam-6723	5	37	synchronization	synchronization	NOUN
ejpam-6723	5	38	.	.	PUNCT
ejpam-6723	6	1	however	however	ADV
ejpam-6723	6	2	,	,	PUNCT
ejpam-6723	6	3	remarkably	remarkably	ADV
ejpam-6723	6	4	resilient	resilient	ADJ
ejpam-6723	6	5	2:1	2:1	NUM
ejpam-6723	6	6	frequency	frequency	NOUN
ejpam-6723	6	7	locking	locking	NOUN
ejpam-6723	6	8	regions	region	NOUN
ejpam-6723	6	9	persist	persist	VERB
ejpam-6723	6	10	across	across	ADP
ejpam-6723	6	11	all	all	DET
ejpam-6723	6	12	asymmetry	asymmetry	NOUN
ejpam-6723	6	13	levels	level	NOUN
ejpam-6723	6	14	.	.	PUNCT
ejpam-6723	7	1	this	this	PRON
ejpam-6723	7	2	provides	provide	VERB
ejpam-6723	7	3	a	a	DET
ejpam-6723	7	4	mathematical	mathematical	ADJ
ejpam-6723	7	5	framework	framework	NOUN
ejpam-6723	7	6	for	for	ADP
ejpam-6723	7	7	explaining	explain	VERB
ejpam-6723	7	8	dominant	dominant	ADJ
ejpam-6723	7	9	frequency	frequency	NOUN
ejpam-6723	7	10	transitions	transition	NOUN
ejpam-6723	7	11	observed	observe	VERB
ejpam-6723	7	12	in	in	ADP
ejpam-6723	7	13	paleoclimate	paleoclimate	NOUN
ejpam-6723	7	14	records	record	NOUN
ejpam-6723	7	15	,	,	PUNCT
ejpam-6723	7	16	particularly	particularly	ADV
ejpam-6723	7	17	the	the	DET
ejpam-6723	7	18	mid	mid	ADJ
ejpam-6723	7	19	-	-	ADJ
ejpam-6723	7	20	pleistocene	pleistocene	ADJ
ejpam-6723	7	21	transition	transition	NOUN
ejpam-6723	7	22	from	from	ADP
ejpam-6723	7	23	41	41	NUM
ejpam-6723	7	24	kyr	kyr	PROPN
ejpam-6723	7	25	to	to	ADP
ejpam-6723	7	26	100	100	NUM
ejpam-6723	7	27	kyr	kyr	PROPN
ejpam-6723	7	28	glacial	glacial	ADJ
ejpam-6723	7	29	cycles	cycle	NOUN
ejpam-6723	7	30	(	(	PUNCT
ejpam-6723	7	31	4	4	NUM
ejpam-6723	7	32	-	-	PUNCT
ejpam-6723	7	33	significance	significance	NOUN
ejpam-6723	7	34	)	)	PUNCT
ejpam-6723	7	35	2020	2020	NUM
ejpam-6723	7	36	mathematics	mathematic	NOUN
ejpam-6723	7	37	subject	subject	NOUN
ejpam-6723	7	38	classifications	classification	NOUN
ejpam-6723	7	39	:	:	PUNCT
ejpam-6723	7	40	primary	primary	ADJ
ejpam-6723	7	41	:	:	PUNCT
ejpam-6723	7	42	4c23	4c23	NUM
ejpam-6723	7	43	,	,	PUNCT
ejpam-6723	7	44	37c25	37c25	NUM
ejpam-6723	7	45	,	,	PUNCT
ejpam-6723	7	46	37	37	NUM
ejpam-6723	7	47	-	-	SYM
ejpam-6723	7	48	04	04	NUM
ejpam-6723	7	49	,	,	PUNCT
ejpam-6723	7	50	37c35	37c35	NUM
ejpam-6723	7	51	,	,	PUNCT
ejpam-6723	7	52	34c25	34c25	NUM
ejpam-6723	7	53	,	,	PUNCT
ejpam-6723	7	54	34c26	34c26	NUM
ejpam-6723	7	55	key	key	ADJ
ejpam-6723	7	56	words	word	NOUN
ejpam-6723	7	57	and	and	CCONJ
ejpam-6723	7	58	phrases	phrase	NOUN
ejpam-6723	7	59	:	:	PUNCT
ejpam-6723	7	60	dynamical	dynamical	ADJ
ejpam-6723	7	61	system	system	NOUN
ejpam-6723	7	62	,	,	PUNCT
ejpam-6723	7	63	periodic	periodic	ADJ
ejpam-6723	7	64	solutions	solution	NOUN
ejpam-6723	7	65	,	,	PUNCT
ejpam-6723	7	66	bifurcations	bifurcation	NOUN
ejpam-6723	7	67	1	1	NUM
ejpam-6723	7	68	.	.	PUNCT
ejpam-6723	8	1	introduction	introduction	NOUN
ejpam-6723	8	2	the	the	DET
ejpam-6723	8	3	pleistocene	pleistocene	PROPN
ejpam-6723	8	4	glacial	glacial	ADJ
ejpam-6723	8	5	record	record	NOUN
ejpam-6723	8	6	presents	present	VERB
ejpam-6723	8	7	a	a	DET
ejpam-6723	8	8	fundamental	fundamental	ADJ
ejpam-6723	8	9	puzzle	puzzle	NOUN
ejpam-6723	8	10	in	in	ADP
ejpam-6723	8	11	climate	climate	NOUN
ejpam-6723	8	12	dynamics	dynamic	NOUN
ejpam-6723	8	13	that	that	PRON
ejpam-6723	8	14	has	have	AUX
ejpam-6723	8	15	captivated	captivate	VERB
ejpam-6723	8	16	researchers	researcher	NOUN
ejpam-6723	8	17	for	for	ADP
ejpam-6723	8	18	decades	decade	NOUN
ejpam-6723	8	19	[	[	X
ejpam-6723	8	20	1	1	NUM
ejpam-6723	8	21	]	]	PUNCT
ejpam-6723	8	22	.	.	PUNCT
ejpam-6723	9	1	while	while	SCONJ
ejpam-6723	9	2	astronomical	astronomical	ADJ
ejpam-6723	9	3	forcing	forcing	NOUN
ejpam-6723	9	4	is	be	AUX
ejpam-6723	9	5	dominated	dominate	VERB
ejpam-6723	9	6	by	by	ADP
ejpam-6723	9	7	spectral	spectral	ADJ
ejpam-6723	9	8	components	component	NOUN
ejpam-6723	9	9	at	at	ADP
ejpam-6723	9	10	periods	period	NOUN
ejpam-6723	9	11	of	of	ADP
ejpam-6723	9	12	41	41	NUM
ejpam-6723	9	13	kyr	kyr	PROPN
ejpam-6723	9	14	(	(	PUNCT
ejpam-6723	9	15	obliquity	obliquity	PROPN
ejpam-6723	9	16	)	)	PUNCT
ejpam-6723	9	17	and	and	CCONJ
ejpam-6723	9	18	19	19	NUM
ejpam-6723	9	19	-	-	SYM
ejpam-6723	9	20	23	23	NUM
ejpam-6723	9	21	kyr	kyr	PROPN
ejpam-6723	9	22	(	(	PUNCT
ejpam-6723	9	23	precession	precession	NOUN
ejpam-6723	9	24	)	)	PUNCT
ejpam-6723	9	25	,	,	PUNCT
ejpam-6723	9	26	the	the	DET
ejpam-6723	9	27	climate	climate	NOUN
ejpam-6723	9	28	∗corresponding	∗corresponde	VERB
ejpam-6723	9	29	author	author	NOUN
ejpam-6723	9	30	.	.	PUNCT
ejpam-6723	10	1	∗corresponding	∗corresponde	VERB
ejpam-6723	10	2	author	author	NOUN
ejpam-6723	10	3	.	.	PUNCT
ejpam-6723	11	1	doi	doi	NOUN
ejpam-6723	11	2	:	:	PUNCT
ejpam-6723	11	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6723	https://doi.org/10.29020/nybg.ejpam.v18i4.6723	ADJ
ejpam-6723	11	4	email	email	NOUN
ejpam-6723	11	5	addresses	address	NOUN
ejpam-6723	11	6	:	:	PUNCT
ejpam-6723	11	7	ialraddadi@iu.edu.sa	ialraddadi@iu.edu.sa	PROPN
ejpam-6723	11	8	(	(	PUNCT
ejpam-6723	11	9	ibrahim	ibrahim	PROPN
ejpam-6723	11	10	alraddadi	alraddadi	PROPN
ejpam-6723	11	11	)	)	PUNCT
ejpam-6723	11	12	,	,	PUNCT
ejpam-6723	11	13	smuaddi@iau.edu.sa	smuaddi@iau.edu.sa	PROPN
ejpam-6723	11	14	(	(	PUNCT
ejpam-6723	11	15	saad	saad	PROPN
ejpam-6723	11	16	m.	m.	NOUN
ejpam-6723	11	17	almuaddi	almuaddi	PROPN
ejpam-6723	11	18	)	)	PUNCT
ejpam-6723	11	19	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6723	12	1	1	1	NUM
ejpam-6723	12	2	copyright	copyright	NOUN
ejpam-6723	12	3	:	:	PUNCT
ejpam-6723	12	4	©	©	PROPN
ejpam-6723	12	5	2025	2025	NUM
ejpam-6723	12	6	the	the	DET
ejpam-6723	12	7	author(s	author(s	NOUN
ejpam-6723	12	8	)	)	PUNCT
ejpam-6723	12	9	.	.	PUNCT
ejpam-6723	13	1	(	(	PUNCT
ejpam-6723	13	2	cc	cc	NOUN
ejpam-6723	13	3	by	by	ADP
ejpam-6723	13	4	-	-	PUNCT
ejpam-6723	13	5	nc	nc	PROPN
ejpam-6723	13	6	4.0	4.0	NUM
ejpam-6723	13	7	)	)	PUNCT
ejpam-6723	13	8	i	i	PRON
ejpam-6723	13	9	alraddadi	alraddadi	VERB
ejpam-6723	13	10	al	al	PROPN
ejpam-6723	13	11	/	/	PUNCT
ejpam-6723	13	12	eur	eur	PROPN
ejpam-6723	13	13	.	.	PUNCT
ejpam-6723	14	1	j.	j.	PROPN
ejpam-6723	14	2	pure	pure	PROPN
ejpam-6723	14	3	appl	appl	PROPN
ejpam-6723	14	4	.	.	PROPN
ejpam-6723	14	5	math	math	PROPN
ejpam-6723	14	6	,	,	PUNCT
ejpam-6723	14	7	18	18	NUM
ejpam-6723	14	8	(	(	PUNCT
ejpam-6723	14	9	4	4	NUM
ejpam-6723	14	10	)	)	PUNCT
ejpam-6723	14	11	(	(	PUNCT
ejpam-6723	14	12	2025	2025	NUM
ejpam-6723	14	13	)	)	PUNCT
ejpam-6723	14	14	,	,	PUNCT
ejpam-6723	14	15	6723	6723	NUM
ejpam-6723	14	16	2	2	NUM
ejpam-6723	14	17	of	of	ADP
ejpam-6723	14	18	20	20	NUM
ejpam-6723	14	19	response	response	NOUN
ejpam-6723	14	20	during	during	ADP
ejpam-6723	14	21	the	the	DET
ejpam-6723	14	22	late	late	ADJ
ejpam-6723	14	23	pleistocene	pleistocene	NOUN
ejpam-6723	14	24	exhibits	exhibit	VERB
ejpam-6723	14	25	dominant	dominant	ADJ
ejpam-6723	14	26	periodicity	periodicity	NOUN
ejpam-6723	14	27	at	at	ADP
ejpam-6723	14	28	approximately	approximately	ADV
ejpam-6723	14	29	100	100	NUM
ejpam-6723	14	30	kyr	kyr	PROPN
ejpam-6723	14	31	.	.	PUNCT
ejpam-6723	15	1	furthermore	furthermore	ADV
ejpam-6723	15	2	,	,	PUNCT
ejpam-6723	15	3	the	the	DET
ejpam-6723	15	4	system	system	NOUN
ejpam-6723	15	5	underwent	undergo	VERB
ejpam-6723	15	6	a	a	DET
ejpam-6723	15	7	significant	significant	ADJ
ejpam-6723	15	8	transition	transition	NOUN
ejpam-6723	15	9	approximately	approximately	ADV
ejpam-6723	15	10	1	1	NUM
ejpam-6723	15	11	myr	myr	NOUN
ejpam-6723	15	12	ago	ago	ADV
ejpam-6723	15	13	—	—	PUNCT
ejpam-6723	15	14	the	the	DET
ejpam-6723	15	15	mid	mid	ADJ
ejpam-6723	15	16	-	-	ADJ
ejpam-6723	15	17	pleistocene	pleistocene	ADJ
ejpam-6723	15	18	transition	transition	NOUN
ejpam-6723	15	19	(	(	PUNCT
ejpam-6723	15	20	mpt)—shifting	mpt)—shifte	VERB
ejpam-6723	15	21	from	from	ADP
ejpam-6723	15	22	lower	low	ADJ
ejpam-6723	15	23	-	-	PUNCT
ejpam-6723	15	24	amplitude	amplitude	NOUN
ejpam-6723	15	25	41	41	NUM
ejpam-6723	15	26	kyr	kyr	PROPN
ejpam-6723	15	27	cycles	cycle	NOUN
ejpam-6723	15	28	to	to	ADP
ejpam-6723	15	29	higher	high	ADJ
ejpam-6723	15	30	-	-	PUNCT
ejpam-6723	15	31	amplitude	amplitude	NOUN
ejpam-6723	15	32	100	100	NUM
ejpam-6723	15	33	kyr	kyr	PROPN
ejpam-6723	15	34	cycles	cycle	NOUN
ejpam-6723	15	35	[	[	X
ejpam-6723	15	36	2	2	NUM
ejpam-6723	15	37	]	]	PUNCT
ejpam-6723	15	38	.	.	PUNCT
ejpam-6723	16	1	this	this	DET
ejpam-6723	16	2	mismatch	mismatch	NOUN
ejpam-6723	16	3	between	between	ADP
ejpam-6723	16	4	forcing	force	VERB
ejpam-6723	16	5	and	and	CCONJ
ejpam-6723	16	6	response	response	NOUN
ejpam-6723	16	7	frequencies	frequency	NOUN
ejpam-6723	16	8	,	,	PUNCT
ejpam-6723	16	9	combined	combine	VERB
ejpam-6723	16	10	with	with	ADP
ejpam-6723	16	11	the	the	DET
ejpam-6723	16	12	mpt	mpt	NOUN
ejpam-6723	16	13	bifurcation	bifurcation	NOUN
ejpam-6723	16	14	,	,	PUNCT
ejpam-6723	16	15	indicates	indicate	VERB
ejpam-6723	16	16	that	that	SCONJ
ejpam-6723	16	17	earth	earth	NOUN
ejpam-6723	16	18	’s	’s	PART
ejpam-6723	16	19	climate	climate	NOUN
ejpam-6723	16	20	system	system	NOUN
ejpam-6723	16	21	responds	respond	VERB
ejpam-6723	16	22	nonlinearly	nonlinearly	ADV
ejpam-6723	16	23	to	to	ADP
ejpam-6723	16	24	astronomical	astronomical	ADJ
ejpam-6723	16	25	forcing	forcing	NOUN
ejpam-6723	16	26	.	.	PUNCT
ejpam-6723	17	1	linear	linear	ADJ
ejpam-6723	17	2	models	model	NOUN
ejpam-6723	17	3	are	be	AUX
ejpam-6723	17	4	insufficient	insufficient	ADJ
ejpam-6723	17	5	to	to	PART
ejpam-6723	17	6	explain	explain	VERB
ejpam-6723	17	7	these	these	DET
ejpam-6723	17	8	phenomena	phenomenon	NOUN
ejpam-6723	17	9	,	,	PUNCT
ejpam-6723	17	10	necessitating	necessitate	VERB
ejpam-6723	17	11	examination	examination	NOUN
ejpam-6723	17	12	of	of	ADP
ejpam-6723	17	13	nonlinear	nonlinear	ADJ
ejpam-6723	17	14	oscillator	oscillator	NOUN
ejpam-6723	17	15	systems	system	NOUN
ejpam-6723	17	16	with	with	ADP
ejpam-6723	17	17	rich	rich	ADJ
ejpam-6723	17	18	dynamical	dynamical	ADJ
ejpam-6723	17	19	behavior	behavior	NOUN
ejpam-6723	17	20	[	[	X
ejpam-6723	17	21	1	1	NUM
ejpam-6723	17	22	,	,	PUNCT
ejpam-6723	17	23	3	3	NUM
ejpam-6723	17	24	]	]	PUNCT
ejpam-6723	17	25	.	.	PUNCT
ejpam-6723	18	1	the	the	DET
ejpam-6723	18	2	van	van	PROPN
ejpam-6723	18	3	der	der	PROPN
ejpam-6723	18	4	pol	pol	PROPN
ejpam-6723	18	5	oscillator	oscillator	NOUN
ejpam-6723	18	6	,	,	PUNCT
ejpam-6723	18	7	originally	originally	ADV
ejpam-6723	18	8	introduced	introduce	VERB
ejpam-6723	18	9	by	by	ADP
ejpam-6723	18	10	van	van	PROPN
ejpam-6723	18	11	der	der	PROPN
ejpam-6723	18	12	pol	pol	PROPN
ejpam-6723	18	13	(	(	PUNCT
ejpam-6723	18	14	1926	1926	NUM
ejpam-6723	18	15	)	)	PUNCT
ejpam-6723	19	1	[	[	X
ejpam-6723	19	2	4	4	X
ejpam-6723	19	3	]	]	PUNCT
ejpam-6723	19	4	to	to	PART
ejpam-6723	19	5	model	model	VERB
ejpam-6723	19	6	electrical	electrical	ADJ
ejpam-6723	19	7	circuits	circuit	NOUN
ejpam-6723	19	8	,	,	PUNCT
ejpam-6723	19	9	has	have	AUX
ejpam-6723	19	10	emerged	emerge	VERB
ejpam-6723	19	11	as	as	ADP
ejpam-6723	19	12	a	a	DET
ejpam-6723	19	13	powerful	powerful	ADJ
ejpam-6723	19	14	framework	framework	NOUN
ejpam-6723	19	15	for	for	ADP
ejpam-6723	19	16	understanding	understand	VERB
ejpam-6723	19	17	self	self	NOUN
ejpam-6723	19	18	-	-	PUNCT
ejpam-6723	19	19	sustained	sustain	VERB
ejpam-6723	19	20	oscillations	oscillation	NOUN
ejpam-6723	19	21	in	in	ADP
ejpam-6723	19	22	climate	climate	NOUN
ejpam-6723	19	23	systems	system	NOUN
ejpam-6723	19	24	.	.	PUNCT
ejpam-6723	20	1	van	van	PROPN
ejpam-6723	20	2	der	der	PROPN
ejpam-6723	20	3	pol	pol	PROPN
ejpam-6723	20	4	and	and	CCONJ
ejpam-6723	20	5	van	van	PROPN
ejpam-6723	20	6	der	der	PROPN
ejpam-6723	20	7	mark	mark	NOUN
ejpam-6723	20	8	(	(	PUNCT
ejpam-6723	20	9	1927	1927	NUM
ejpam-6723	20	10	,	,	PUNCT
ejpam-6723	20	11	1928	1928	NUM
ejpam-6723	20	12	)	)	PUNCT
ejpam-6723	21	1	[	[	X
ejpam-6723	21	2	5	5	NUM
ejpam-6723	21	3	]	]	PUNCT
ejpam-6723	21	4	first	first	ADJ
ejpam-6723	21	5	observed	observe	VERB
ejpam-6723	21	6	frequency	frequency	NOUN
ejpam-6723	21	7	locking	locking	NOUN
ejpam-6723	21	8	phenomena	phenomenon	NOUN
ejpam-6723	21	9	—	—	PUNCT
ejpam-6723	21	10	now	now	ADV
ejpam-6723	21	11	known	know	VERB
ejpam-6723	21	12	as	as	ADP
ejpam-6723	21	13	synchronization	synchronization	NOUN
ejpam-6723	21	14	—	—	PUNCT
ejpam-6723	21	15	when	when	SCONJ
ejpam-6723	21	16	examining	examine	VERB
ejpam-6723	21	17	the	the	DET
ejpam-6723	21	18	response	response	NOUN
ejpam-6723	21	19	of	of	ADP
ejpam-6723	21	20	relaxation	relaxation	NOUN
ejpam-6723	21	21	oscillators	oscillator	NOUN
ejpam-6723	21	22	to	to	ADP
ejpam-6723	21	23	periodic	periodic	ADJ
ejpam-6723	21	24	forcing	forcing	NOUN
ejpam-6723	21	25	.	.	PUNCT
ejpam-6723	22	1	this	this	DET
ejpam-6723	22	2	phenomenon	phenomenon	NOUN
ejpam-6723	22	3	,	,	PUNCT
ejpam-6723	22	4	where	where	SCONJ
ejpam-6723	22	5	the	the	DET
ejpam-6723	22	6	oscillator	oscillator	NOUN
ejpam-6723	22	7	’s	’s	PART
ejpam-6723	22	8	frequency	frequency	NOUN
ejpam-6723	22	9	becomes	become	VERB
ejpam-6723	22	10	locked	lock	VERB
ejpam-6723	22	11	to	to	ADP
ejpam-6723	22	12	rational	rational	ADJ
ejpam-6723	22	13	multiples	multiple	NOUN
ejpam-6723	22	14	of	of	ADP
ejpam-6723	22	15	the	the	DET
ejpam-6723	22	16	forcing	force	VERB
ejpam-6723	22	17	frequency	frequency	NOUN
ejpam-6723	22	18	,	,	PUNCT
ejpam-6723	22	19	provides	provide	VERB
ejpam-6723	22	20	a	a	DET
ejpam-6723	22	21	crucial	crucial	ADJ
ejpam-6723	22	22	mechanism	mechanism	NOUN
ejpam-6723	22	23	for	for	ADP
ejpam-6723	22	24	understanding	understand	VERB
ejpam-6723	22	25	glacial	glacial	ADJ
ejpam-6723	22	26	cycle	cycle	NOUN
ejpam-6723	22	27	dynamics	dynamic	NOUN
ejpam-6723	22	28	[	[	X
ejpam-6723	22	29	1	1	NUM
ejpam-6723	22	30	,	,	PUNCT
ejpam-6723	22	31	3	3	NUM
ejpam-6723	22	32	]	]	PUNCT
ejpam-6723	22	33	.	.	PUNCT
ejpam-6723	23	1	modern	modern	ADJ
ejpam-6723	23	2	applications	application	NOUN
ejpam-6723	23	3	of	of	ADP
ejpam-6723	23	4	van	van	PROPN
ejpam-6723	23	5	der	der	PROPN
ejpam-6723	23	6	pol	pol	PROPN
ejpam-6723	23	7	oscillators	oscillator	NOUN
ejpam-6723	23	8	to	to	PART
ejpam-6723	23	9	climate	climate	NOUN
ejpam-6723	23	10	science	science	NOUN
ejpam-6723	23	11	began	begin	VERB
ejpam-6723	23	12	with	with	ADP
ejpam-6723	23	13	crucifix	crucifix	NOUN
ejpam-6723	23	14	(	(	PUNCT
ejpam-6723	23	15	2012	2012	NUM
ejpam-6723	23	16	)	)	PUNCT
ejpam-6723	24	1	[	[	X
ejpam-6723	24	2	3	3	NUM
ejpam-6723	24	3	]	]	PUNCT
ejpam-6723	24	4	,	,	PUNCT
ejpam-6723	24	5	who	who	PRON
ejpam-6723	24	6	used	use	VERB
ejpam-6723	24	7	forced	force	VERB
ejpam-6723	24	8	van	van	PROPN
ejpam-6723	24	9	der	der	ADJ
ejpam-6723	24	10	pol	pol	NOUN
ejpam-6723	24	11	models	model	NOUN
ejpam-6723	24	12	to	to	PART
ejpam-6723	24	13	examine	examine	VERB
ejpam-6723	24	14	astronomical	astronomical	ADJ
ejpam-6723	24	15	forcing	forcing	NOUN
ejpam-6723	24	16	and	and	CCONJ
ejpam-6723	24	17	asymmetry	asymmetry	NOUN
ejpam-6723	24	18	between	between	ADP
ejpam-6723	24	19	ice	ice	NOUN
ejpam-6723	24	20	-	-	PUNCT
ejpam-6723	24	21	forming	form	VERB
ejpam-6723	24	22	and	and	CCONJ
ejpam-6723	24	23	melting	melt	VERB
ejpam-6723	24	24	phases	phase	NOUN
ejpam-6723	24	25	during	during	ADP
ejpam-6723	24	26	the	the	DET
ejpam-6723	24	27	late	late	ADJ
ejpam-6723	24	28	pleistocene	pleistocene	NOUN
ejpam-6723	24	29	.	.	PUNCT
ejpam-6723	25	1	subsequent	subsequent	ADJ
ejpam-6723	25	2	work	work	NOUN
ejpam-6723	25	3	by	by	ADP
ejpam-6723	25	4	de	de	X
ejpam-6723	25	5	saedeleer	saedeleer	PROPN
ejpam-6723	25	6	et	et	PROPN
ejpam-6723	25	7	al	al	PROPN
ejpam-6723	25	8	.	.	PROPN
ejpam-6723	26	1	(	(	PUNCT
ejpam-6723	26	2	2013	2013	NUM
ejpam-6723	26	3	)	)	PUNCT
ejpam-6723	27	1	[	[	X
ejpam-6723	27	2	1	1	X
ejpam-6723	27	3	]	]	PUNCT
ejpam-6723	27	4	and	and	CCONJ
ejpam-6723	27	5	ditlevsen	ditlevsen	ADJ
ejpam-6723	27	6	and	and	CCONJ
ejpam-6723	27	7	ashwin	ashwin	PROPN
ejpam-6723	27	8	(	(	PUNCT
ejpam-6723	27	9	2018	2018	NUM
ejpam-6723	27	10	)	)	PUNCT
ejpam-6723	28	1	[	[	X
ejpam-6723	28	2	2	2	X
ejpam-6723	28	3	]	]	PUNCT
ejpam-6723	28	4	has	have	AUX
ejpam-6723	28	5	extended	extend	VERB
ejpam-6723	28	6	these	these	DET
ejpam-6723	28	7	models	model	NOUN
ejpam-6723	28	8	to	to	PART
ejpam-6723	28	9	explain	explain	VERB
ejpam-6723	28	10	the	the	DET
ejpam-6723	28	11	mpt	mpt	NOUN
ejpam-6723	28	12	as	as	ADP
ejpam-6723	28	13	a	a	DET
ejpam-6723	28	14	synchronization	synchronization	NOUN
ejpam-6723	28	15	transition	transition	NOUN
ejpam-6723	28	16	rather	rather	ADV
ejpam-6723	28	17	than	than	ADP
ejpam-6723	28	18	a	a	DET
ejpam-6723	28	19	change	change	NOUN
ejpam-6723	28	20	in	in	ADP
ejpam-6723	28	21	external	external	ADJ
ejpam-6723	28	22	forcing	forcing	NOUN
ejpam-6723	28	23	while	while	SCONJ
ejpam-6723	28	24	contemporary	contemporary	ADJ
ejpam-6723	28	25	studies	study	NOUN
ejpam-6723	28	26	have	have	AUX
ejpam-6723	28	27	explored	explore	VERB
ejpam-6723	28	28	arnold	arnold	PROPN
ejpam-6723	28	29	tongue	tongue	NOUN
ejpam-6723	28	30	structures	structure	NOUN
ejpam-6723	28	31	in	in	ADP
ejpam-6723	28	32	various	various	ADJ
ejpam-6723	28	33	nonlinear	nonlinear	ADJ
ejpam-6723	28	34	systems	system	NOUN
ejpam-6723	28	35	[	[	X
ejpam-6723	28	36	6	6	NUM
ejpam-6723	28	37	]	]	PUNCT
ejpam-6723	28	38	advanced	advanced	ADJ
ejpam-6723	28	39	bifurcation	bifurcation	NOUN
ejpam-6723	28	40	analysis	analysis	NOUN
ejpam-6723	28	41	techniques	technique	NOUN
ejpam-6723	28	42	have	have	AUX
ejpam-6723	28	43	been	be	AUX
ejpam-6723	28	44	applied	apply	VERB
ejpam-6723	28	45	to	to	ADP
ejpam-6723	28	46	oscillatory	oscillatory	ADJ
ejpam-6723	28	47	systems	system	NOUN
ejpam-6723	28	48	[	[	X
ejpam-6723	28	49	7	7	NUM
ejpam-6723	28	50	]	]	PUNCT
ejpam-6723	28	51	,	,	PUNCT
ejpam-6723	28	52	with	with	ADP
ejpam-6723	28	53	computational	computational	ADJ
ejpam-6723	28	54	methods	method	NOUN
ejpam-6723	28	55	for	for	ADP
ejpam-6723	28	56	nonlinear	nonlinear	ADJ
ejpam-6723	28	57	dynamics	dynamic	NOUN
ejpam-6723	28	58	expanding	expand	VERB
ejpam-6723	28	59	rapidly	rapidly	ADV
ejpam-6723	28	60	[	[	X
ejpam-6723	28	61	8	8	NUM
ejpam-6723	28	62	]	]	PUNCT
ejpam-6723	28	63	.	.	PUNCT
ejpam-6723	29	1	recent	recent	ADJ
ejpam-6723	29	2	advances	advance	NOUN
ejpam-6723	29	3	in	in	ADP
ejpam-6723	29	4	geometric	geometric	ADJ
ejpam-6723	29	5	singular	singular	ADJ
ejpam-6723	29	6	perturbation	perturbation	NOUN
ejpam-6723	29	7	theory	theory	NOUN
ejpam-6723	29	8	(	(	PUNCT
ejpam-6723	29	9	gspt	gspt	NOUN
ejpam-6723	29	10	)	)	PUNCT
ejpam-6723	29	11	have	have	AUX
ejpam-6723	29	12	provided	provide	VERB
ejpam-6723	29	13	rigorous	rigorous	ADJ
ejpam-6723	29	14	mathematical	mathematical	ADJ
ejpam-6723	29	15	foundations	foundation	NOUN
ejpam-6723	29	16	for	for	ADP
ejpam-6723	29	17	analyzing	analyze	VERB
ejpam-6723	29	18	these	these	DET
ejpam-6723	29	19	slow	slow	ADJ
ejpam-6723	29	20	-	-	PUNCT
ejpam-6723	29	21	fast	fast	ADJ
ejpam-6723	29	22	climate	climate	NOUN
ejpam-6723	29	23	systems	system	NOUN
ejpam-6723	29	24	[	[	X
ejpam-6723	29	25	9	9	NUM
ejpam-6723	29	26	]	]	PUNCT
ejpam-6723	29	27	.	.	PUNCT
ejpam-6723	30	1	the	the	DET
ejpam-6723	30	2	work	work	NOUN
ejpam-6723	30	3	of	of	ADP
ejpam-6723	30	4	guckenheimer	guckenheimer	PROPN
ejpam-6723	30	5	et	et	PROPN
ejpam-6723	30	6	al	al	PROPN
ejpam-6723	30	7	.	.	PROPN
ejpam-6723	31	1	(	(	PUNCT
ejpam-6723	31	2	2003	2003	NUM
ejpam-6723	31	3	)	)	PUNCT
ejpam-6723	32	1	[	[	X
ejpam-6723	32	2	9	9	NUM
ejpam-6723	32	3	]	]	PUNCT
ejpam-6723	32	4	established	establish	VERB
ejpam-6723	32	5	the	the	DET
ejpam-6723	32	6	theoretical	theoretical	ADJ
ejpam-6723	32	7	framework	framework	NOUN
ejpam-6723	32	8	for	for	ADP
ejpam-6723	32	9	understanding	understand	VERB
ejpam-6723	32	10	folded	fold	VERB
ejpam-6723	32	11	singularities	singularity	NOUN
ejpam-6723	32	12	and	and	CCONJ
ejpam-6723	32	13	canard	canard	NOUN
ejpam-6723	32	14	trajectories	trajectory	NOUN
ejpam-6723	32	15	in	in	ADP
ejpam-6723	32	16	forced	force	VERB
ejpam-6723	32	17	van	van	PROPN
ejpam-6723	32	18	der	der	ADJ
ejpam-6723	32	19	pol	pol	PROPN
ejpam-6723	32	20	systems	system	NOUN
ejpam-6723	32	21	,	,	PUNCT
ejpam-6723	32	22	while	while	SCONJ
ejpam-6723	32	23	ashwin	ashwin	PROPN
ejpam-6723	32	24	et	et	PROPN
ejpam-6723	32	25	al	al	PROPN
ejpam-6723	32	26	.	.	PROPN
ejpam-6723	33	1	(	(	PUNCT
ejpam-6723	33	2	2018	2018	NUM
ejpam-6723	33	3	)	)	PUNCT
ejpam-6723	34	1	[	[	X
ejpam-6723	34	2	10	10	NUM
ejpam-6723	34	3	]	]	PUNCT
ejpam-6723	34	4	demonstrated	demonstrate	VERB
ejpam-6723	34	5	that	that	SCONJ
ejpam-6723	34	6	van	van	PROPN
ejpam-6723	34	7	der	der	ADJ
ejpam-6723	34	8	pol	pol	PROPN
ejpam-6723	34	9	-	-	PUNCT
ejpam-6723	34	10	duffing	duffe	VERB
ejpam-6723	34	11	variants	variant	NOUN
ejpam-6723	34	12	exhibit	exhibit	VERB
ejpam-6723	34	13	enhanced	enhance	VERB
ejpam-6723	34	14	chaotic	chaotic	ADJ
ejpam-6723	34	15	behavior	behavior	NOUN
ejpam-6723	34	16	crucial	crucial	ADJ
ejpam-6723	34	17	for	for	ADP
ejpam-6723	34	18	climate	climate	NOUN
ejpam-6723	34	19	modeling	modeling	NOUN
ejpam-6723	34	20	.	.	PUNCT
ejpam-6723	35	1	2	2	X
ejpam-6723	35	2	.	.	X
ejpam-6723	35	3	nonlinear	nonlinear	ADJ
ejpam-6723	35	4	oscillator	oscillator	NOUN
ejpam-6723	35	5	models	model	NOUN
ejpam-6723	35	6	for	for	ADP
ejpam-6723	35	7	glacial	glacial	ADJ
ejpam-6723	35	8	cycles	cycle	NOUN
ejpam-6723	35	9	2.1	2.1	NUM
ejpam-6723	35	10	.	.	PUNCT
ejpam-6723	36	1	theoretical	theoretical	ADJ
ejpam-6723	36	2	framework	framework	NOUN
ejpam-6723	36	3	autonomous	autonomous	PROPN
ejpam-6723	36	4	nonlinear	nonlinear	PROPN
ejpam-6723	36	5	oscillator	oscillator	NOUN
ejpam-6723	36	6	systems	system	NOUN
ejpam-6723	36	7	exhibit	exhibit	VERB
ejpam-6723	36	8	several	several	ADJ
ejpam-6723	36	9	mathematical	mathematical	ADJ
ejpam-6723	36	10	properties	property	NOUN
ejpam-6723	36	11	that	that	PRON
ejpam-6723	36	12	make	make	VERB
ejpam-6723	36	13	them	they	PRON
ejpam-6723	36	14	particularly	particularly	ADV
ejpam-6723	36	15	relevant	relevant	ADJ
ejpam-6723	36	16	for	for	ADP
ejpam-6723	36	17	understanding	understand	VERB
ejpam-6723	36	18	glacial	glacial	ADJ
ejpam-6723	36	19	cycle	cycle	NOUN
ejpam-6723	36	20	dynamics	dynamic	NOUN
ejpam-6723	36	21	[	[	X
ejpam-6723	36	22	3	3	NUM
ejpam-6723	36	23	,	,	PUNCT
ejpam-6723	36	24	10	10	NUM
ejpam-6723	36	25	]	]	PUNCT
ejpam-6723	36	26	.	.	PUNCT
ejpam-6723	37	1	these	these	DET
ejpam-6723	37	2	systems	system	NOUN
ejpam-6723	37	3	naturally	naturally	ADV
ejpam-6723	37	4	produce	produce	VERB
ejpam-6723	37	5	self	self	NOUN
ejpam-6723	37	6	-	-	PUNCT
ejpam-6723	37	7	sustained	sustain	VERB
ejpam-6723	37	8	oscillations	oscillation	NOUN
ejpam-6723	37	9	even	even	ADV
ejpam-6723	37	10	in	in	ADP
ejpam-6723	37	11	the	the	DET
ejpam-6723	37	12	absence	absence	NOUN
ejpam-6723	37	13	of	of	ADP
ejpam-6723	37	14	external	external	ADJ
ejpam-6723	37	15	forcing	forcing	NOUN
ejpam-6723	37	16	,	,	PUNCT
ejpam-6723	37	17	creating	create	VERB
ejpam-6723	37	18	limit	limit	NOUN
ejpam-6723	37	19	cycles	cycle	NOUN
ejpam-6723	37	20	that	that	PRON
ejpam-6723	37	21	can	can	AUX
ejpam-6723	37	22	serve	serve	VERB
ejpam-6723	37	23	as	as	ADP
ejpam-6723	37	24	baseline	baseline	NOUN
ejpam-6723	37	25	climate	climate	NOUN
ejpam-6723	37	26	states	state	NOUN
ejpam-6723	37	27	.	.	PUNCT
ejpam-6723	38	1	when	when	SCONJ
ejpam-6723	38	2	subjected	subject	VERB
ejpam-6723	38	3	to	to	ADP
ejpam-6723	38	4	external	external	ADJ
ejpam-6723	38	5	periodic	periodic	ADJ
ejpam-6723	38	6	forcing	forcing	NOUN
ejpam-6723	38	7	,	,	PUNCT
ejpam-6723	38	8	they	they	PRON
ejpam-6723	38	9	demonstrate	demonstrate	VERB
ejpam-6723	38	10	n	n	PRON
ejpam-6723	38	11	:	:	PUNCT
ejpam-6723	38	12	m	m	VERB
ejpam-6723	38	13	phase	phase	NOUN
ejpam-6723	38	14	-	-	PUNCT
ejpam-6723	38	15	locking	lock	VERB
ejpam-6723	38	16	behavior	behavior	NOUN
ejpam-6723	38	17	,	,	PUNCT
ejpam-6723	38	18	where	where	SCONJ
ejpam-6723	38	19	the	the	DET
ejpam-6723	38	20	ratio	ratio	NOUN
ejpam-6723	38	21	of	of	ADP
ejpam-6723	38	22	response	response	NOUN
ejpam-6723	38	23	frequency	frequency	PROPN
ejpam-6723	38	24	ω	ω	NOUN
ejpam-6723	38	25	to	to	ADP
ejpam-6723	38	26	forcing	force	VERB
ejpam-6723	38	27	frequency	frequency	NOUN
ejpam-6723	38	28	ωf	ωf	ADP
ejpam-6723	38	29	satisfies	satisfie	NOUN
ejpam-6723	38	30	ω	ω	PROPN
ejpam-6723	38	31	/	/	SYM
ejpam-6723	38	32	ωf	ωf	PROPN
ejpam-6723	38	33	=	=	PUNCT
ejpam-6723	38	34	n	n	CCONJ
ejpam-6723	38	35	/	/	SYM
ejpam-6723	38	36	m	m	PROPN
ejpam-6723	38	37	with	with	ADP
ejpam-6723	38	38	n	n	CCONJ
ejpam-6723	38	39	,	,	PUNCT
ejpam-6723	38	40	m	m	VERB
ejpam-6723	38	41	∈	∈	NOUN
ejpam-6723	38	42	z+	z+	PUNCT
ejpam-6723	38	43	.	.	PUNCT
ejpam-6723	39	1	this	this	DET
ejpam-6723	39	2	frequency	frequency	NOUN
ejpam-6723	39	3	locking	locking	NOUN
ejpam-6723	39	4	mechanism	mechanism	NOUN
ejpam-6723	39	5	provides	provide	VERB
ejpam-6723	39	6	a	a	DET
ejpam-6723	39	7	mathematical	mathematical	ADJ
ejpam-6723	39	8	foundation	foundation	NOUN
ejpam-6723	39	9	for	for	ADP
ejpam-6723	39	10	explaining	explain	VERB
ejpam-6723	39	11	how	how	SCONJ
ejpam-6723	39	12	climate	climate	NOUN
ejpam-6723	39	13	systems	system	NOUN
ejpam-6723	39	14	can	can	AUX
ejpam-6723	39	15	respond	respond	VERB
ejpam-6723	39	16	at	at	ADP
ejpam-6723	39	17	frequencies	frequency	NOUN
ejpam-6723	39	18	different	different	ADJ
ejpam-6723	39	19	from	from	ADP
ejpam-6723	39	20	those	those	PRON
ejpam-6723	39	21	of	of	ADP
ejpam-6723	39	22	astronomical	astronomical	ADJ
ejpam-6723	39	23	forcing	forcing	NOUN
ejpam-6723	39	24	.	.	PUNCT
ejpam-6723	40	1	i	i	PRON
ejpam-6723	40	2	alraddadi	alraddadi	VERB
ejpam-6723	40	3	al	al	PROPN
ejpam-6723	40	4	/	/	PUNCT
ejpam-6723	40	5	eur	eur	PROPN
ejpam-6723	40	6	.	.	PUNCT
ejpam-6723	41	1	j.	j.	PROPN
ejpam-6723	41	2	pure	pure	PROPN
ejpam-6723	41	3	appl	appl	PROPN
ejpam-6723	41	4	.	.	PROPN
ejpam-6723	41	5	math	math	PROPN
ejpam-6723	41	6	,	,	PUNCT
ejpam-6723	41	7	18	18	NUM
ejpam-6723	41	8	(	(	PUNCT
ejpam-6723	41	9	4	4	NUM
ejpam-6723	41	10	)	)	PUNCT
ejpam-6723	41	11	(	(	PUNCT
ejpam-6723	41	12	2025	2025	NUM
ejpam-6723	41	13	)	)	PUNCT
ejpam-6723	41	14	,	,	PUNCT
ejpam-6723	41	15	6723	6723	NUM
ejpam-6723	41	16	3	3	NUM
ejpam-6723	41	17	of	of	ADP
ejpam-6723	41	18	20	20	NUM
ejpam-6723	41	19	the	the	DET
ejpam-6723	41	20	temporal	temporal	ADJ
ejpam-6723	41	21	asymmetry	asymmetry	NOUN
ejpam-6723	41	22	observed	observe	VERB
ejpam-6723	41	23	in	in	ADP
ejpam-6723	41	24	glacial	glacial	ADJ
ejpam-6723	41	25	cycles	cycle	NOUN
ejpam-6723	41	26	—	—	PUNCT
ejpam-6723	41	27	with	with	ADP
ejpam-6723	41	28	slow	slow	ADJ
ejpam-6723	41	29	ice	ice	NOUN
ejpam-6723	41	30	accumulation	accumulation	NOUN
ejpam-6723	41	31	followed	follow	VERB
ejpam-6723	41	32	by	by	ADP
ejpam-6723	41	33	rapid	rapid	ADJ
ejpam-6723	41	34	deglaciation	deglaciation	NOUN
ejpam-6723	41	35	—	—	PUNCT
ejpam-6723	41	36	emerges	emerge	VERB
ejpam-6723	41	37	naturally	naturally	ADV
ejpam-6723	41	38	from	from	ADP
ejpam-6723	41	39	these	these	DET
ejpam-6723	41	40	oscillators	oscillator	NOUN
ejpam-6723	41	41	through	through	ADP
ejpam-6723	41	42	their	their	PRON
ejpam-6723	41	43	generation	generation	NOUN
ejpam-6723	41	44	of	of	ADP
ejpam-6723	41	45	non	non	ADJ
ejpam-6723	41	46	-	-	ADJ
ejpam-6723	41	47	sinusoidal	sinusoidal	ADJ
ejpam-6723	41	48	waveforms	waveform	NOUN
ejpam-6723	41	49	.	.	PUNCT
ejpam-6723	42	1	unlike	unlike	ADP
ejpam-6723	42	2	linear	linear	PROPN
ejpam-6723	42	3	systems	system	NOUN
ejpam-6723	42	4	that	that	PRON
ejpam-6723	42	5	preserve	preserve	VERB
ejpam-6723	42	6	the	the	DET
ejpam-6723	42	7	spectral	spectral	ADJ
ejpam-6723	42	8	characteristics	characteristic	NOUN
ejpam-6723	42	9	of	of	ADP
ejpam-6723	42	10	their	their	PRON
ejpam-6723	42	11	forcing	forcing	NOUN
ejpam-6723	42	12	,	,	PUNCT
ejpam-6723	42	13	nonlinear	nonlinear	ADJ
ejpam-6723	42	14	oscillators	oscillator	NOUN
ejpam-6723	42	15	can	can	AUX
ejpam-6723	42	16	transform	transform	VERB
ejpam-6723	42	17	symmetric	symmetric	ADJ
ejpam-6723	42	18	forcing	forcing	NOUN
ejpam-6723	42	19	into	into	ADP
ejpam-6723	42	20	asymmetric	asymmetric	ADJ
ejpam-6723	42	21	responses	response	NOUN
ejpam-6723	42	22	that	that	PRON
ejpam-6723	42	23	mirror	mirror	VERB
ejpam-6723	42	24	the	the	DET
ejpam-6723	42	25	observed	observe	VERB
ejpam-6723	42	26	glacial	glacial	ADJ
ejpam-6723	42	27	-	-	PUNCT
ejpam-6723	42	28	interglacial	interglacial	ADJ
ejpam-6723	42	29	patterns	pattern	NOUN
ejpam-6723	42	30	.	.	PUNCT
ejpam-6723	43	1	parameterdependent	parameterdependent	NOUN
ejpam-6723	43	2	bifurcations	bifurcation	NOUN
ejpam-6723	43	3	in	in	ADP
ejpam-6723	43	4	these	these	DET
ejpam-6723	43	5	systems	system	NOUN
ejpam-6723	43	6	correspond	correspond	VERB
ejpam-6723	43	7	to	to	ADP
ejpam-6723	43	8	observed	observe	VERB
ejpam-6723	43	9	climate	climate	NOUN
ejpam-6723	43	10	transitions	transition	NOUN
ejpam-6723	43	11	,	,	PUNCT
ejpam-6723	43	12	providing	provide	VERB
ejpam-6723	43	13	a	a	DET
ejpam-6723	43	14	mechanism	mechanism	NOUN
ejpam-6723	43	15	for	for	ADP
ejpam-6723	43	16	understanding	understand	VERB
ejpam-6723	43	17	sudden	sudden	ADJ
ejpam-6723	43	18	changes	change	NOUN
ejpam-6723	43	19	in	in	ADP
ejpam-6723	43	20	system	system	NOUN
ejpam-6723	43	21	behavior	behavior	NOUN
ejpam-6723	43	22	such	such	ADJ
ejpam-6723	43	23	as	as	ADP
ejpam-6723	43	24	the	the	DET
ejpam-6723	43	25	mid	mid	ADJ
ejpam-6723	43	26	-	-	ADJ
ejpam-6723	43	27	pleistocene	pleistocene	ADJ
ejpam-6723	43	28	transition	transition	NOUN
ejpam-6723	43	29	.	.	PUNCT
ejpam-6723	44	1	perhaps	perhaps	ADV
ejpam-6723	44	2	most	most	ADV
ejpam-6723	44	3	importantly	importantly	ADV
ejpam-6723	44	4	for	for	ADP
ejpam-6723	44	5	climate	climate	NOUN
ejpam-6723	44	6	applications	application	NOUN
ejpam-6723	44	7	,	,	PUNCT
ejpam-6723	44	8	these	these	DET
ejpam-6723	44	9	oscillators	oscillator	NOUN
ejpam-6723	44	10	can	can	AUX
ejpam-6723	44	11	exhibit	exhibit	VERB
ejpam-6723	44	12	chaotic	chaotic	ADJ
ejpam-6723	44	13	dynamics	dynamic	NOUN
ejpam-6723	44	14	characterized	characterize	VERB
ejpam-6723	44	15	by	by	ADP
ejpam-6723	44	16	positive	positive	ADJ
ejpam-6723	44	17	lyapunov	lyapunov	ADJ
ejpam-6723	44	18	exponents	exponent	NOUN
ejpam-6723	44	19	under	under	ADP
ejpam-6723	44	20	quasi	quasi	ADJ
ejpam-6723	44	21	-	-	ADJ
ejpam-6723	44	22	periodic	periodic	ADJ
ejpam-6723	44	23	forcing	forcing	NOUN
ejpam-6723	45	1	[	[	X
ejpam-6723	45	2	10	10	NUM
ejpam-6723	45	3	]	]	PUNCT
ejpam-6723	45	4	demonstrated	demonstrate	VERB
ejpam-6723	45	5	through	through	ADP
ejpam-6723	45	6	numerical	numerical	ADJ
ejpam-6723	45	7	computation	computation	NOUN
ejpam-6723	45	8	that	that	SCONJ
ejpam-6723	45	9	several	several	ADJ
ejpam-6723	45	10	low	low	ADJ
ejpam-6723	45	11	-	-	PUNCT
ejpam-6723	45	12	order	order	NOUN
ejpam-6723	45	13	nonlinear	nonlinear	ADJ
ejpam-6723	45	14	models	model	NOUN
ejpam-6723	45	15	,	,	PUNCT
ejpam-6723	45	16	particularly	particularly	ADV
ejpam-6723	45	17	those	those	PRON
ejpam-6723	45	18	with	with	ADP
ejpam-6723	45	19	nonlinear	nonlinear	ADJ
ejpam-6723	45	20	restoring	restore	VERB
ejpam-6723	45	21	forces	force	NOUN
ejpam-6723	45	22	,	,	PUNCT
ejpam-6723	45	23	exhibit	exhibit	VERB
ejpam-6723	45	24	positive	positive	ADJ
ejpam-6723	45	25	lyapunov	lyapunov	ADJ
ejpam-6723	45	26	exponents	exponent	NOUN
ejpam-6723	45	27	under	under	ADP
ejpam-6723	45	28	quasi	quasi	ADJ
ejpam-6723	45	29	-	-	NOUN
ejpam-6723	45	30	periodic	periodic	ADJ
ejpam-6723	45	31	forcing	forcing	NOUN
ejpam-6723	45	32	across	across	ADP
ejpam-6723	45	33	significant	significant	ADJ
ejpam-6723	45	34	regions	region	NOUN
ejpam-6723	45	35	of	of	ADP
ejpam-6723	45	36	parameter	parameter	NOUN
ejpam-6723	45	37	space	space	NOUN
ejpam-6723	45	38	.	.	PUNCT
ejpam-6723	46	1	this	this	DET
ejpam-6723	46	2	result	result	NOUN
ejpam-6723	46	3	implies	imply	VERB
ejpam-6723	46	4	fundamental	fundamental	ADJ
ejpam-6723	46	5	limits	limit	NOUN
ejpam-6723	46	6	to	to	ADP
ejpam-6723	46	7	the	the	DET
ejpam-6723	46	8	predictability	predictability	NOUN
ejpam-6723	46	9	of	of	ADP
ejpam-6723	46	10	trajectories	trajectory	NOUN
ejpam-6723	46	11	in	in	ADP
ejpam-6723	46	12	such	such	ADJ
ejpam-6723	46	13	systems	system	NOUN
ejpam-6723	46	14	despite	despite	SCONJ
ejpam-6723	46	15	deterministic	deterministic	ADJ
ejpam-6723	46	16	forcing	forcing	NOUN
ejpam-6723	46	17	,	,	PUNCT
ejpam-6723	46	18	which	which	PRON
ejpam-6723	46	19	aligns	align	VERB
ejpam-6723	46	20	with	with	ADP
ejpam-6723	46	21	the	the	DET
ejpam-6723	46	22	irregular	irregular	ADJ
ejpam-6723	46	23	timing	timing	NOUN
ejpam-6723	46	24	variations	variation	NOUN
ejpam-6723	46	25	observed	observe	VERB
ejpam-6723	46	26	in	in	ADP
ejpam-6723	46	27	actual	actual	ADJ
ejpam-6723	46	28	glacial	glacial	ADJ
ejpam-6723	46	29	records	record	NOUN
ejpam-6723	46	30	.	.	PUNCT
ejpam-6723	47	1	the	the	DET
ejpam-6723	47	2	van	van	PROPN
ejpam-6723	47	3	der	der	PROPN
ejpam-6723	47	4	pol	pol	PROPN
ejpam-6723	47	5	-	-	PUNCT
ejpam-6723	47	6	duffing	duffe	VERB
ejpam-6723	47	7	oscillator	oscillator	NOUN
ejpam-6723	47	8	provides	provide	VERB
ejpam-6723	47	9	a	a	DET
ejpam-6723	47	10	particularly	particularly	ADV
ejpam-6723	47	11	powerful	powerful	ADJ
ejpam-6723	47	12	framework	framework	NOUN
ejpam-6723	47	13	because	because	SCONJ
ejpam-6723	47	14	it	it	PRON
ejpam-6723	47	15	incorporates	incorporate	VERB
ejpam-6723	47	16	nonlinear	nonlinear	ADJ
ejpam-6723	47	17	damping	damp	VERB
ejpam-6723	47	18	from	from	ADP
ejpam-6723	47	19	the	the	DET
ejpam-6723	47	20	van	van	PROPN
ejpam-6723	47	21	der	der	ADJ
ejpam-6723	47	22	pol	pol	NOUN
ejpam-6723	47	23	equation	equation	NOUN
ejpam-6723	47	24	,	,	PUNCT
ejpam-6723	47	25	nonlinear	nonlinear	ADJ
ejpam-6723	47	26	restoring	restore	VERB
ejpam-6723	47	27	forces	force	NOUN
ejpam-6723	47	28	from	from	ADP
ejpam-6723	47	29	the	the	DET
ejpam-6723	47	30	duffing	duffing	NOUN
ejpam-6723	47	31	equation	equation	NOUN
ejpam-6723	47	32	,	,	PUNCT
ejpam-6723	47	33	and	and	CCONJ
ejpam-6723	47	34	parametric	parametric	ADJ
ejpam-6723	47	35	forcing	force	VERB
ejpam-6723	47	36	terms	term	NOUN
ejpam-6723	47	37	[	[	X
ejpam-6723	47	38	11–13	11–13	NUM
ejpam-6723	47	39	]	]	X
ejpam-6723	47	40	.	.	PUNCT
ejpam-6723	48	1	this	this	DET
ejpam-6723	48	2	combination	combination	NOUN
ejpam-6723	48	3	creates	create	VERB
ejpam-6723	48	4	a	a	DET
ejpam-6723	48	5	system	system	NOUN
ejpam-6723	48	6	capable	capable	ADJ
ejpam-6723	48	7	of	of	ADP
ejpam-6723	48	8	exhibiting	exhibit	VERB
ejpam-6723	48	9	the	the	DET
ejpam-6723	48	10	complex	complex	ADJ
ejpam-6723	48	11	dynamics	dynamic	NOUN
ejpam-6723	48	12	observed	observe	VERB
ejpam-6723	48	13	in	in	ADP
ejpam-6723	48	14	paleoclimate	paleoclimate	NOUN
ejpam-6723	48	15	records	record	NOUN
ejpam-6723	48	16	while	while	SCONJ
ejpam-6723	48	17	maintaining	maintain	VERB
ejpam-6723	48	18	sufficient	sufficient	ADJ
ejpam-6723	48	19	mathematical	mathematical	ADJ
ejpam-6723	48	20	tractability	tractability	NOUN
ejpam-6723	48	21	for	for	ADP
ejpam-6723	48	22	detailed	detailed	ADJ
ejpam-6723	48	23	analysis	analysis	NOUN
ejpam-6723	48	24	.	.	PUNCT
ejpam-6723	49	1	2.2	2.2	NUM
ejpam-6723	49	2	.	.	PUNCT
ejpam-6723	50	1	the	the	DET
ejpam-6723	50	2	modified	modify	VERB
ejpam-6723	50	3	van	van	PROPN
ejpam-6723	50	4	der	der	ADJ
ejpam-6723	50	5	pol	pol	NOUN
ejpam-6723	50	6	oscillator	oscillator	NOUN
ejpam-6723	50	7	we	we	PRON
ejpam-6723	50	8	consider	consider	VERB
ejpam-6723	50	9	the	the	DET
ejpam-6723	50	10	modified	modify	VERB
ejpam-6723	50	11	van	van	PROPN
ejpam-6723	50	12	der	der	ADJ
ejpam-6723	50	13	pol	pol	PROPN
ejpam-6723	50	14	oscillator	oscillator	NOUN
ejpam-6723	50	15	proposed	propose	VERB
ejpam-6723	50	16	as	as	ADP
ejpam-6723	50	17	a	a	DET
ejpam-6723	50	18	low	low	ADJ
ejpam-6723	50	19	-	-	PUNCT
ejpam-6723	50	20	order	order	NOUN
ejpam-6723	50	21	model	model	NOUN
ejpam-6723	50	22	for	for	ADP
ejpam-6723	50	23	ice	ice	NOUN
ejpam-6723	50	24	-	-	PUNCT
ejpam-6723	50	25	age	age	NOUN
ejpam-6723	50	26	cycles	cycle	NOUN
ejpam-6723	50	27	[	[	X
ejpam-6723	50	28	10	10	NUM
ejpam-6723	50	29	]	]	PUNCT
ejpam-6723	50	30	:	:	PUNCT
ejpam-6723	50	31	τ2κ2	τ2κ2	PUNCT
ejpam-6723	50	32	d2y	d2y	INTJ
ejpam-6723	50	33	dt2	dt2	NOUN
ejpam-6723	50	34	−	−	PROPN
ejpam-6723	50	35	ατκ(1−	ατκ(1−	PROPN
ejpam-6723	50	36	y2	y2	NOUN
ejpam-6723	50	37	)	)	PUNCT
ejpam-6723	50	38	dy	dy	NOUN
ejpam-6723	50	39	dt	dt	NOUN
ejpam-6723	51	1	+	+	CCONJ
ejpam-6723	51	2	g(y)−	g(y)−	INTJ
ejpam-6723	51	3	γf	γf	PROPN
ejpam-6723	51	4	(	(	PUNCT
ejpam-6723	51	5	t	t	PROPN
ejpam-6723	51	6	)	)	PUNCT
ejpam-6723	51	7	+	+	NUM
ejpam-6723	51	8	β	β	X
ejpam-6723	51	9	=	=	SYM
ejpam-6723	51	10	0	0	PUNCT
ejpam-6723	52	1	(	(	PUNCT
ejpam-6723	52	2	1	1	NUM
ejpam-6723	52	3	)	)	PUNCT
ejpam-6723	52	4	where	where	SCONJ
ejpam-6723	52	5	the	the	DET
ejpam-6723	52	6	nonlinear	nonlinear	ADJ
ejpam-6723	52	7	restoring	restore	VERB
ejpam-6723	52	8	force	force	NOUN
ejpam-6723	52	9	in	in	ADP
ejpam-6723	52	10	the	the	DET
ejpam-6723	52	11	van	van	PROPN
ejpam-6723	52	12	der	der	NOUN
ejpam-6723	52	13	pol	pol	PROPN
ejpam-6723	52	14	-	-	PUNCT
ejpam-6723	52	15	duffing	duffe	VERB
ejpam-6723	52	16	variant	variant	NOUN
ejpam-6723	52	17	is	be	AUX
ejpam-6723	52	18	:	:	PUNCT
ejpam-6723	52	19	g(y	g(y	X
ejpam-6723	52	20	)	)	PUNCT
ejpam-6723	52	21	=	=	VERB
ejpam-6723	52	22	−y	−y	VERB
ejpam-6723	53	1	+	+	CCONJ
ejpam-6723	53	2	1.2y3	1.2y3	NUM
ejpam-6723	53	3	(	(	PUNCT
ejpam-6723	53	4	2	2	X
ejpam-6723	53	5	)	)	PUNCT
ejpam-6723	53	6	this	this	PRON
ejpam-6723	53	7	differs	differ	VERB
ejpam-6723	53	8	significantly	significantly	ADV
ejpam-6723	53	9	from	from	ADP
ejpam-6723	53	10	the	the	DET
ejpam-6723	53	11	standard	standard	ADJ
ejpam-6723	53	12	van	van	PROPN
ejpam-6723	53	13	der	der	ADJ
ejpam-6723	53	14	pol	pol	PROPN
ejpam-6723	53	15	oscillator	oscillator	NOUN
ejpam-6723	53	16	where	where	SCONJ
ejpam-6723	53	17	g(y	g(y	NOUN
ejpam-6723	53	18	)	)	PUNCT
ejpam-6723	53	19	=	=	VERB
ejpam-6723	54	1	y.	y.	VERB
ejpam-6723	54	2	the	the	DET
ejpam-6723	54	3	cubic	cubic	ADJ
ejpam-6723	54	4	nonlinearity	nonlinearity	NOUN
ejpam-6723	54	5	introduces	introduce	VERB
ejpam-6723	54	6	multiple	multiple	ADJ
ejpam-6723	54	7	equilibria	equilibrium	NOUN
ejpam-6723	54	8	and	and	CCONJ
ejpam-6723	54	9	enhanced	enhance	VERB
ejpam-6723	54	10	shear	shear	NOUN
ejpam-6723	54	11	in	in	ADP
ejpam-6723	54	12	phase	phase	NOUN
ejpam-6723	54	13	space	space	NOUN
ejpam-6723	54	14	,	,	PUNCT
ejpam-6723	54	15	essential	essential	ADJ
ejpam-6723	54	16	ingredients	ingredient	NOUN
ejpam-6723	54	17	for	for	ADP
ejpam-6723	54	18	robust	robust	ADJ
ejpam-6723	54	19	chaotic	chaotic	ADJ
ejpam-6723	54	20	behavior	behavior	NOUN
ejpam-6723	54	21	[	[	X
ejpam-6723	54	22	10	10	NUM
ejpam-6723	54	23	]	]	PUNCT
ejpam-6723	54	24	.	.	PUNCT
ejpam-6723	55	1	parameter	parameter	PROPN
ejpam-6723	55	2	interpretation	interpretation	NOUN
ejpam-6723	55	3	:	:	PUNCT
ejpam-6723	55	4	•	•	NUM
ejpam-6723	55	5	α	α	X
ejpam-6723	55	6	=	=	NOUN
ejpam-6723	55	7	11.11	11.11	NUM
ejpam-6723	55	8	:	:	PUNCT
ejpam-6723	55	9	controls	control	VERB
ejpam-6723	55	10	fast	fast	ADJ
ejpam-6723	55	11	/	/	SYM
ejpam-6723	55	12	slow	slow	ADJ
ejpam-6723	55	13	timescale	timescale	NOUN
ejpam-6723	55	14	separation	separation	NOUN
ejpam-6723	55	15	•	•	ADP
ejpam-6723	55	16	β	β	NOUN
ejpam-6723	55	17	:	:	PUNCT
ejpam-6723	55	18	symmetry	symmetry	NOUN
ejpam-6723	55	19	-	-	PUNCT
ejpam-6723	55	20	breaking	break	VERB
ejpam-6723	55	21	parameter	parameter	NOUN
ejpam-6723	55	22	(	(	PUNCT
ejpam-6723	55	23	β	β	X
ejpam-6723	55	24	=	=	SYM
ejpam-6723	55	25	0	0	NUM
ejpam-6723	55	26	for	for	ADP
ejpam-6723	55	27	symmetric	symmetric	ADJ
ejpam-6723	55	28	case	case	NOUN
ejpam-6723	55	29	)	)	PUNCT
ejpam-6723	55	30	•	•	ADP
ejpam-6723	55	31	γ	γ	X
ejpam-6723	55	32	:	:	PUNCT
ejpam-6723	55	33	effective	effective	ADJ
ejpam-6723	55	34	forcing	force	VERB
ejpam-6723	55	35	amplitude	amplitude	NOUN
ejpam-6723	55	36	•	•	NOUN
ejpam-6723	55	37	κ	κ	NOUN
ejpam-6723	55	38	=	=	NOUN
ejpam-6723	55	39	52.0	52.0	NUM
ejpam-6723	55	40	:	:	PUNCT
ejpam-6723	55	41	sets	set	VERB
ejpam-6723	55	42	unforced	unforced	ADJ
ejpam-6723	55	43	oscillation	oscillation	NOUN
ejpam-6723	55	44	timescale	timescale	NOUN
ejpam-6723	55	45	i	i	PRON
ejpam-6723	55	46	alraddadi	alraddadi	VERB
ejpam-6723	55	47	al	al	PROPN
ejpam-6723	55	48	/	/	PUNCT
ejpam-6723	55	49	eur	eur	PROPN
ejpam-6723	55	50	.	.	PUNCT
ejpam-6723	56	1	j.	j.	PROPN
ejpam-6723	56	2	pure	pure	PROPN
ejpam-6723	56	3	appl	appl	PROPN
ejpam-6723	56	4	.	.	PROPN
ejpam-6723	56	5	math	math	PROPN
ejpam-6723	56	6	,	,	PUNCT
ejpam-6723	56	7	18	18	NUM
ejpam-6723	56	8	(	(	PUNCT
ejpam-6723	56	9	4	4	NUM
ejpam-6723	56	10	)	)	PUNCT
ejpam-6723	56	11	(	(	PUNCT
ejpam-6723	56	12	2025	2025	NUM
ejpam-6723	56	13	)	)	PUNCT
ejpam-6723	56	14	,	,	PUNCT
ejpam-6723	56	15	6723	6723	NUM
ejpam-6723	56	16	4	4	NUM
ejpam-6723	56	17	of	of	ADP
ejpam-6723	56	18	20	20	NUM
ejpam-6723	56	19	•	•	NOUN
ejpam-6723	56	20	τ	τ	X
ejpam-6723	56	21	=	=	SYM
ejpam-6723	56	22	1	1	NUM
ejpam-6723	56	23	:	:	PUNCT
ejpam-6723	56	24	time	time	NOUN
ejpam-6723	56	25	scaling	scale	VERB
ejpam-6723	56	26	factor	factor	NOUN
ejpam-6723	56	27	(	(	PUNCT
ejpam-6723	56	28	τ	τ	PROPN
ejpam-6723	56	29	=	=	SYM
ejpam-6723	56	30	1	1	NUM
ejpam-6723	56	31	gives	give	VERB
ejpam-6723	56	32	∼100	∼100	NUM
ejpam-6723	56	33	kyr	kyr	PROPN
ejpam-6723	56	34	unforced	unforced	ADJ
ejpam-6723	56	35	period	period	NOUN
ejpam-6723	56	36	)	)	PUNCT
ejpam-6723	56	37	using	use	VERB
ejpam-6723	56	38	the	the	DET
ejpam-6723	56	39	liénard	liénard	ADJ
ejpam-6723	56	40	transformation	transformation	NOUN
ejpam-6723	56	41	x	x	PUNCT
ejpam-6723	57	1	=	=	PUNCT
ejpam-6723	57	2	y	y	PROPN
ejpam-6723	57	3	−	−	PROPN
ejpam-6723	57	4	y3/3	y3/3	NOUN
ejpam-6723	57	5	−	−	PROPN
ejpam-6723	57	6	y/(τκα	y/(τκα	PROPN
ejpam-6723	57	7	)	)	PUNCT
ejpam-6723	57	8	,	,	PUNCT
ejpam-6723	57	9	we	we	PRON
ejpam-6723	57	10	obtain	obtain	VERB
ejpam-6723	57	11	the	the	DET
ejpam-6723	57	12	first	first	ADJ
ejpam-6723	57	13	-	-	PUNCT
ejpam-6723	57	14	order	order	NOUN
ejpam-6723	57	15	system	system	NOUN
ejpam-6723	57	16	[	[	X
ejpam-6723	57	17	9	9	NUM
ejpam-6723	57	18	]	]	X
ejpam-6723	57	19	:	:	PUNCT
ejpam-6723	57	20	x′	x′	X
ejpam-6723	57	21	=	=	SYM
ejpam-6723	57	22	1	1	NUM
ejpam-6723	57	23	τκ	τκ	X
ejpam-6723	57	24	(	(	PUNCT
ejpam-6723	57	25	γk	γk	X
ejpam-6723	57	26	sin(2πωt)−	sin(2πωt)−	PROPN
ejpam-6723	57	27	β	β	X
ejpam-6723	57	28	−	−	PROPN
ejpam-6723	57	29	g(y	g(y	PROPN
ejpam-6723	57	30	)	)	PUNCT
ejpam-6723	57	31	)	)	PUNCT
ejpam-6723	57	32	(	(	PUNCT
ejpam-6723	57	33	3	3	X
ejpam-6723	57	34	)	)	PUNCT
ejpam-6723	57	35	y′	y′	NOUN
ejpam-6723	58	1	=	=	PUNCT
ejpam-6723	58	2	α	α	X
ejpam-6723	58	3	τκ	τκ	X
ejpam-6723	58	4	(	(	PUNCT
ejpam-6723	58	5	y	y	PROPN
ejpam-6723	58	6	−	−	PROPN
ejpam-6723	58	7	y3/3	y3/3	PROPN
ejpam-6723	58	8	+	+	CCONJ
ejpam-6723	58	9	x	x	X
ejpam-6723	58	10	)	)	PUNCT
ejpam-6723	58	11	(	(	PUNCT
ejpam-6723	58	12	4	4	NUM
ejpam-6723	58	13	)	)	PUNCT
ejpam-6723	58	14	(	(	PUNCT
ejpam-6723	58	15	a	a	X
ejpam-6723	58	16	)	)	PUNCT
ejpam-6723	58	17	(	(	PUNCT
ejpam-6723	58	18	b	b	X
ejpam-6723	58	19	)	)	PUNCT
ejpam-6723	58	20	figure	figure	NOUN
ejpam-6723	58	21	1	1	NUM
ejpam-6723	58	22	:	:	PUNCT
ejpam-6723	58	23	(	(	PUNCT
ejpam-6723	58	24	a	a	DET
ejpam-6723	58	25	)	)	PUNCT
ejpam-6723	58	26	phase	phase	NOUN
ejpam-6723	58	27	portrait	portrait	NOUN
ejpam-6723	58	28	of	of	ADP
ejpam-6723	58	29	system	system	NOUN
ejpam-6723	58	30	(	(	PUNCT
ejpam-6723	58	31	3	3	NUM
ejpam-6723	58	32	-	-	SYM
ejpam-6723	58	33	4	4	NUM
ejpam-6723	58	34	)	)	PUNCT
ejpam-6723	58	35	demonstrating	demonstrate	VERB
ejpam-6723	58	36	different	different	ADJ
ejpam-6723	58	37	dynamical	dynamical	ADJ
ejpam-6723	58	38	regimes	regime	NOUN
ejpam-6723	58	39	with	with	ADP
ejpam-6723	58	40	parameter	parameter	NOUN
ejpam-6723	58	41	values	value	NOUN
ejpam-6723	58	42	given	give	VERB
ejpam-6723	58	43	above	above	ADV
ejpam-6723	58	44	.	.	PUNCT
ejpam-6723	59	1	the	the	DET
ejpam-6723	59	2	trajectories	trajectory	NOUN
ejpam-6723	59	3	show	show	VERB
ejpam-6723	59	4	the	the	DET
ejpam-6723	59	5	relaxation	relaxation	NOUN
ejpam-6723	59	6	oscillation	oscillation	NOUN
ejpam-6723	59	7	pattern	pattern	NOUN
ejpam-6723	59	8	with	with	ADP
ejpam-6723	59	9	distinct	distinct	ADJ
ejpam-6723	59	10	slow	slow	ADJ
ejpam-6723	59	11	and	and	CCONJ
ejpam-6723	59	12	fast	fast	ADJ
ejpam-6723	59	13	phases	phase	NOUN
ejpam-6723	59	14	of	of	ADP
ejpam-6723	59	15	motion	motion	NOUN
ejpam-6723	59	16	.	.	PUNCT
ejpam-6723	60	1	(	(	PUNCT
ejpam-6723	60	2	b	b	X
ejpam-6723	60	3	)	)	PUNCT
ejpam-6723	60	4	the	the	DET
ejpam-6723	60	5	trajectories	trajectory	NOUN
ejpam-6723	60	6	show	show	VERB
ejpam-6723	60	7	the	the	DET
ejpam-6723	60	8	relaxation	relaxation	NOUN
ejpam-6723	60	9	oscillation	oscillation	NOUN
ejpam-6723	60	10	pattern	pattern	NOUN
ejpam-6723	60	11	with	with	ADP
ejpam-6723	60	12	distinct	distinct	ADJ
ejpam-6723	60	13	slow	slow	ADJ
ejpam-6723	60	14	and	and	CCONJ
ejpam-6723	60	15	fast	fast	ADJ
ejpam-6723	60	16	phases	phase	NOUN
ejpam-6723	60	17	of	of	ADP
ejpam-6723	60	18	motion	motion	NOUN
ejpam-6723	60	19	figure	figure	NOUN
ejpam-6723	60	20	1	1	NUM
ejpam-6723	60	21	illustrates	illustrate	VERB
ejpam-6723	60	22	the	the	DET
ejpam-6723	60	23	rich	rich	ADJ
ejpam-6723	60	24	dynamical	dynamical	ADJ
ejpam-6723	60	25	behavior	behavior	NOUN
ejpam-6723	60	26	of	of	ADP
ejpam-6723	60	27	system	system	NOUN
ejpam-6723	60	28	(	(	PUNCT
ejpam-6723	60	29	3	3	NUM
ejpam-6723	60	30	-	-	SYM
ejpam-6723	60	31	4	4	NUM
ejpam-6723	60	32	)	)	PUNCT
ejpam-6723	60	33	.	.	PUNCT
ejpam-6723	61	1	the	the	DET
ejpam-6723	61	2	phase	phase	NOUN
ejpam-6723	61	3	portraits	portrait	NOUN
ejpam-6723	61	4	reveal	reveal	VERB
ejpam-6723	61	5	the	the	DET
ejpam-6723	61	6	characteristic	characteristic	ADJ
ejpam-6723	61	7	features	feature	NOUN
ejpam-6723	61	8	of	of	ADP
ejpam-6723	61	9	van	van	PROPN
ejpam-6723	61	10	der	der	PROPN
ejpam-6723	61	11	pol	pol	PROPN
ejpam-6723	61	12	duffing	duffe	VERB
ejpam-6723	61	13	oscillators	oscillator	NOUN
ejpam-6723	61	14	including	include	VERB
ejpam-6723	61	15	the	the	DET
ejpam-6723	61	16	s	s	ADV
ejpam-6723	61	17	-	-	PUNCT
ejpam-6723	61	18	shaped	shape	VERB
ejpam-6723	61	19	nullclines	nullcline	NOUN
ejpam-6723	61	20	and	and	CCONJ
ejpam-6723	61	21	the	the	DET
ejpam-6723	61	22	alternating	alternate	VERB
ejpam-6723	61	23	slow	slow	ADV
ejpam-6723	61	24	-	-	PUNCT
ejpam-6723	61	25	fast	fast	ADJ
ejpam-6723	61	26	motion	motion	NOUN
ejpam-6723	61	27	that	that	PRON
ejpam-6723	61	28	creates	create	VERB
ejpam-6723	61	29	relaxation	relaxation	NOUN
ejpam-6723	61	30	oscillations	oscillation	NOUN
ejpam-6723	61	31	.	.	PUNCT
ejpam-6723	62	1	setting	set	VERB
ejpam-6723	62	2	τκ	τκ	ADP
ejpam-6723	63	1	=	=	SYM
ejpam-6723	63	2	1	1	NUM
ejpam-6723	63	3	and	and	CCONJ
ejpam-6723	63	4	defining	define	VERB
ejpam-6723	63	5	ε	ε	PROPN
ejpam-6723	63	6	=	=	SYM
ejpam-6723	63	7	1	1	NUM
ejpam-6723	63	8	/	/	SYM
ejpam-6723	63	9	α	α	NOUN
ejpam-6723	63	10	,	,	PUNCT
ejpam-6723	63	11	a	a	DET
ejpam-6723	63	12	=	=	SYM
ejpam-6723	63	13	γ	γ	X
ejpam-6723	63	14	,	,	PUNCT
ejpam-6723	63	15	θ	θ	PROPN
ejpam-6723	63	16	=	=	SYM
ejpam-6723	63	17	ωt	ωt	PROPN
ejpam-6723	63	18	,	,	PUNCT
ejpam-6723	63	19	we	we	PRON
ejpam-6723	63	20	get	get	VERB
ejpam-6723	63	21	the	the	DET
ejpam-6723	63	22	non	non	ADJ
ejpam-6723	63	23	-	-	ADJ
ejpam-6723	63	24	autonomous	autonomous	ADJ
ejpam-6723	63	25	slow	slow	ADJ
ejpam-6723	63	26	-	-	PUNCT
ejpam-6723	63	27	fast	fast	ADJ
ejpam-6723	63	28	system	system	NOUN
ejpam-6723	63	29	:	:	PUNCT
ejpam-6723	63	30	x′	x′	X
ejpam-6723	63	31	=	=	PUNCT
ejpam-6723	63	32	a	a	DET
ejpam-6723	63	33	sin(2πθ)−	sin(2πθ)−	NOUN
ejpam-6723	63	34	g(y)−	g(y)−	PROPN
ejpam-6723	63	35	β	β	X
ejpam-6723	63	36	(	(	PUNCT
ejpam-6723	63	37	5	5	NUM
ejpam-6723	63	38	)	)	PUNCT
ejpam-6723	63	39	εy′	εy′	NOUN
ejpam-6723	64	1	=	=	SYM
ejpam-6723	64	2	y	y	PROPN
ejpam-6723	64	3	−	−	NUM
ejpam-6723	64	4	y3/3	y3/3	NOUN
ejpam-6723	65	1	+	+	CCONJ
ejpam-6723	65	2	x	x	SYM
ejpam-6723	65	3	(	(	PUNCT
ejpam-6723	65	4	6	6	NUM
ejpam-6723	65	5	)	)	PUNCT
ejpam-6723	65	6	θ′	θ′	NOUN
ejpam-6723	65	7	=	=	SYM
ejpam-6723	65	8	ω	ω	NOUN
ejpam-6723	65	9	(	(	PUNCT
ejpam-6723	65	10	7	7	NUM
ejpam-6723	65	11	)	)	PUNCT
ejpam-6723	65	12	i	i	PRON
ejpam-6723	65	13	alraddadi	alraddadi	VERB
ejpam-6723	65	14	al	al	PROPN
ejpam-6723	65	15	/	/	PUNCT
ejpam-6723	65	16	eur	eur	PROPN
ejpam-6723	65	17	.	.	PUNCT
ejpam-6723	66	1	j.	j.	PROPN
ejpam-6723	66	2	pure	pure	PROPN
ejpam-6723	66	3	appl	appl	PROPN
ejpam-6723	66	4	.	.	PROPN
ejpam-6723	66	5	math	math	PROPN
ejpam-6723	66	6	,	,	PUNCT
ejpam-6723	66	7	18	18	NUM
ejpam-6723	66	8	(	(	PUNCT
ejpam-6723	66	9	4	4	NUM
ejpam-6723	66	10	)	)	PUNCT
ejpam-6723	66	11	(	(	PUNCT
ejpam-6723	66	12	2025	2025	NUM
ejpam-6723	66	13	)	)	PUNCT
ejpam-6723	66	14	,	,	PUNCT
ejpam-6723	66	15	6723	6723	NUM
ejpam-6723	66	16	5	5	NUM
ejpam-6723	66	17	of	of	ADP
ejpam-6723	66	18	20	20	NUM
ejpam-6723	66	19	3	3	NUM
ejpam-6723	66	20	.	.	PUNCT
ejpam-6723	67	1	geometric	geometric	ADJ
ejpam-6723	67	2	singular	singular	ADJ
ejpam-6723	67	3	perturbation	perturbation	NOUN
ejpam-6723	67	4	analysis	analysis	NOUN
ejpam-6723	67	5	3.1	3.1	NUM
ejpam-6723	67	6	.	.	PUNCT
ejpam-6723	68	1	critical	critical	ADJ
ejpam-6723	68	2	manifold	manifold	ADJ
ejpam-6723	68	3	structure	structure	NOUN
ejpam-6723	68	4	when	when	SCONJ
ejpam-6723	68	5	0	0	NUM
ejpam-6723	68	6	<	<	X
ejpam-6723	68	7	ε	ε	PROPN
ejpam-6723	68	8	≪	≪	PUNCT
ejpam-6723	68	9	1	1	NUM
ejpam-6723	68	10	,	,	PUNCT
ejpam-6723	68	11	system	system	NOUN
ejpam-6723	68	12	(	(	PUNCT
ejpam-6723	68	13	5)–(7	5)–(7	NOUN
ejpam-6723	68	14	)	)	PUNCT
ejpam-6723	68	15	exhibits	exhibit	VERB
ejpam-6723	68	16	slow	slow	ADJ
ejpam-6723	68	17	-	-	PUNCT
ejpam-6723	68	18	fast	fast	ADJ
ejpam-6723	68	19	dynamics	dynamic	NOUN
ejpam-6723	68	20	with	with	ADP
ejpam-6723	68	21	x	x	PUNCT
ejpam-6723	68	22	and	and	CCONJ
ejpam-6723	68	23	θ	θ	PROPN
ejpam-6723	68	24	as	as	ADP
ejpam-6723	68	25	slow	slow	ADJ
ejpam-6723	68	26	variables	variable	NOUN
ejpam-6723	68	27	and	and	CCONJ
ejpam-6723	68	28	y	y	PROPN
ejpam-6723	68	29	as	as	ADP
ejpam-6723	68	30	the	the	DET
ejpam-6723	68	31	fast	fast	ADJ
ejpam-6723	68	32	variable	variable	NOUN
ejpam-6723	68	33	.	.	PUNCT
ejpam-6723	69	1	following	follow	VERB
ejpam-6723	69	2	the	the	DET
ejpam-6723	69	3	gspt	gspt	NOUN
ejpam-6723	69	4	framework	framework	NOUN
ejpam-6723	69	5	of	of	ADP
ejpam-6723	69	6	guckenheimer	guckenheimer	PROPN
ejpam-6723	69	7	et	et	PROPN
ejpam-6723	69	8	al	al	PROPN
ejpam-6723	70	1	[	[	X
ejpam-6723	70	2	9	9	NUM
ejpam-6723	70	3	]	]	PUNCT
ejpam-6723	70	4	,	,	PUNCT
ejpam-6723	70	5	we	we	PRON
ejpam-6723	70	6	analyze	analyze	VERB
ejpam-6723	70	7	the	the	DET
ejpam-6723	70	8	singular	singular	PROPN
ejpam-6723	70	9	limit	limit	NOUN
ejpam-6723	70	10	ε	ε	PROPN
ejpam-6723	70	11	=	=	SYM
ejpam-6723	70	12	0	0	PROPN
ejpam-6723	70	13	.	.	PUNCT
ejpam-6723	71	1	the	the	DET
ejpam-6723	71	2	critical	critical	ADJ
ejpam-6723	71	3	manifold	manifold	NOUN
ejpam-6723	71	4	is	be	AUX
ejpam-6723	71	5	defined	define	VERB
ejpam-6723	71	6	as	as	ADP
ejpam-6723	71	7	:	:	PUNCT
ejpam-6723	71	8	s	s	PART
ejpam-6723	71	9	=	=	PUNCT
ejpam-6723	71	10	{	{	PUNCT
ejpam-6723	71	11	(	(	PUNCT
ejpam-6723	71	12	x	x	NOUN
ejpam-6723	71	13	,	,	PUNCT
ejpam-6723	71	14	y	y	PROPN
ejpam-6723	71	15	,	,	PUNCT
ejpam-6723	71	16	θ	θ	NOUN
ejpam-6723	71	17	)	)	PUNCT
ejpam-6723	71	18	∈	∈	PROPN
ejpam-6723	71	19	r3	r3	PROPN
ejpam-6723	72	1	|	|	INTJ
ejpam-6723	72	2	y	y	PROPN
ejpam-6723	72	3	−	−	PROPN
ejpam-6723	72	4	y3/3	y3/3	PROPN
ejpam-6723	72	5	+	+	CCONJ
ejpam-6723	72	6	x	x	X
ejpam-6723	72	7	=	=	SYM
ejpam-6723	72	8	0	0	NUM
ejpam-6723	72	9	}	}	PUNCT
ejpam-6723	72	10	(	(	PUNCT
ejpam-6723	72	11	8)	8)	NUM
ejpam-6723	72	12	this	this	PRON
ejpam-6723	72	13	gives	give	VERB
ejpam-6723	72	14	x	x	PUNCT
ejpam-6723	72	15	=	=	PUNCT
ejpam-6723	72	16	y3/3	y3/3	PROPN
ejpam-6723	72	17	−	−	PROPN
ejpam-6723	72	18	y	y	PROPN
ejpam-6723	72	19	,	,	PUNCT
ejpam-6723	72	20	defining	define	VERB
ejpam-6723	72	21	an	an	DET
ejpam-6723	72	22	s	s	ADV
ejpam-6723	72	23	-	-	PUNCT
ejpam-6723	72	24	shaped	shape	VERB
ejpam-6723	72	25	curve	curve	NOUN
ejpam-6723	72	26	in	in	ADP
ejpam-6723	72	27	the	the	DET
ejpam-6723	72	28	(	(	PUNCT
ejpam-6723	72	29	x	x	NOUN
ejpam-6723	72	30	,	,	PUNCT
ejpam-6723	72	31	y	y	NOUN
ejpam-6723	72	32	)	)	PUNCT
ejpam-6723	72	33	plane	plane	NOUN
ejpam-6723	72	34	.	.	PUNCT
ejpam-6723	73	1	the	the	DET
ejpam-6723	73	2	critical	critical	ADJ
ejpam-6723	73	3	manifold	manifold	NOUN
ejpam-6723	73	4	has	have	VERB
ejpam-6723	73	5	:	:	PUNCT
ejpam-6723	73	6	•	•	NUM
ejpam-6723	73	7	repelling	repelling	NOUN
ejpam-6723	73	8	sheet	sheet	NOUN
ejpam-6723	73	9	:	:	PUNCT
ejpam-6723	73	10	sr	sr	PROPN
ejpam-6723	73	11	=	=	SYM
ejpam-6723	73	12	s	s	PART
ejpam-6723	73	13	∩	∩	NOUN
ejpam-6723	73	14	{	{	PUNCT
ejpam-6723	73	15	−1	−1	NOUN
ejpam-6723	73	16	<	<	X
ejpam-6723	73	17	y	y	X
ejpam-6723	73	18	<	<	X
ejpam-6723	73	19	1	1	NUM
ejpam-6723	73	20	}	}	PUNCT
ejpam-6723	73	21	where	where	SCONJ
ejpam-6723	73	22	∂/∂y(y	∂/∂y(y	PROPN
ejpam-6723	73	23	−	−	PROPN
ejpam-6723	73	24	y3/3	y3/3	NOUN
ejpam-6723	73	25	)	)	PUNCT
ejpam-6723	73	26	=	=	SYM
ejpam-6723	74	1	1−	1−	NUM
ejpam-6723	74	2	y2	y2	INTJ
ejpam-6723	74	3	>	>	SYM
ejpam-6723	74	4	0	0	NUM
ejpam-6723	74	5	•	•	NOUN
ejpam-6723	74	6	attracting	attract	VERB
ejpam-6723	74	7	sheets	sheet	NOUN
ejpam-6723	74	8	:	:	PUNCT
ejpam-6723	74	9	sa	sa	X
ejpam-6723	74	10	=	=	SYM
ejpam-6723	74	11	s	s	NOUN
ejpam-6723	74	12	∩	∩	NOUN
ejpam-6723	74	13	{	{	PUNCT
ejpam-6723	74	14	y	y	PROPN
ejpam-6723	74	15	<	<	X
ejpam-6723	74	16	−1	−1	NOUN
ejpam-6723	74	17	}	}	PUNCT
ejpam-6723	74	18	∪	∪	NOUN
ejpam-6723	74	19	s	s	PART
ejpam-6723	74	20	∩	∩	NOUN
ejpam-6723	74	21	{	{	PUNCT
ejpam-6723	74	22	y	y	PROPN
ejpam-6723	74	23	>	>	X
ejpam-6723	74	24	1	1	NUM
ejpam-6723	74	25	}	}	PUNCT
ejpam-6723	74	26	where	where	SCONJ
ejpam-6723	74	27	∂/∂y(y	∂/∂y(y	PROPN
ejpam-6723	74	28	−	−	PROPN
ejpam-6723	74	29	y3/3	y3/3	NOUN
ejpam-6723	74	30	)	)	PUNCT
ejpam-6723	74	31	=	=	SYM
ejpam-6723	75	1	1−	1−	NUM
ejpam-6723	75	2	y2	y2	NOUN
ejpam-6723	75	3	<	<	X
ejpam-6723	75	4	0	0	NUM
ejpam-6723	75	5	fold	fold	NOUN
ejpam-6723	75	6	lines	line	NOUN
ejpam-6723	75	7	occur	occur	VERB
ejpam-6723	75	8	at	at	ADP
ejpam-6723	75	9	y	y	PROPN
ejpam-6723	75	10	=	=	PUNCT
ejpam-6723	75	11	±1	±1	ADJ
ejpam-6723	75	12	:	:	PUNCT
ejpam-6723	75	13	l−	l−	NOUN
ejpam-6723	75	14	=	=	SYM
ejpam-6723	75	15	{	{	PUNCT
ejpam-6723	75	16	(	(	PUNCT
ejpam-6723	75	17	−2/3,−1	−2/3,−1	ADJ
ejpam-6723	75	18	,	,	PUNCT
ejpam-6723	75	19	θ	θ	PROPN
ejpam-6723	75	20	)	)	PUNCT
ejpam-6723	75	21	:	:	PUNCT
ejpam-6723	76	1	θ	θ	PROPN
ejpam-6723	76	2	∈	∈	PROPN
ejpam-6723	76	3	(	(	PUNCT
ejpam-6723	76	4	0	0	NUM
ejpam-6723	76	5	,	,	PUNCT
ejpam-6723	76	6	2πn	2πn	ADJ
ejpam-6723	76	7	)	)	PUNCT
ejpam-6723	76	8	}	}	PUNCT
ejpam-6723	76	9	(	(	PUNCT
ejpam-6723	76	10	9	9	X
ejpam-6723	76	11	)	)	PUNCT
ejpam-6723	76	12	l+	l+	NOUN
ejpam-6723	76	13	=	=	SYM
ejpam-6723	76	14	{	{	PUNCT
ejpam-6723	76	15	(	(	PUNCT
ejpam-6723	76	16	2/3	2/3	NUM
ejpam-6723	76	17	,	,	PUNCT
ejpam-6723	76	18	1	1	NUM
ejpam-6723	76	19	,	,	PUNCT
ejpam-6723	76	20	θ	θ	PROPN
ejpam-6723	76	21	)	)	PUNCT
ejpam-6723	76	22	:	:	PUNCT
ejpam-6723	76	23	θ	θ	PROPN
ejpam-6723	76	24	∈	∈	PROPN
ejpam-6723	76	25	(	(	PUNCT
ejpam-6723	76	26	0	0	NUM
ejpam-6723	76	27	,	,	PUNCT
ejpam-6723	76	28	2πn	2πn	ADJ
ejpam-6723	76	29	)	)	PUNCT
ejpam-6723	76	30	}	}	PUNCT
ejpam-6723	76	31	(	(	PUNCT
ejpam-6723	76	32	10	10	NUM
ejpam-6723	76	33	)	)	PUNCT
ejpam-6723	76	34	3.2	3.2	NUM
ejpam-6723	76	35	.	.	PUNCT
ejpam-6723	77	1	slow	slow	ADJ
ejpam-6723	77	2	and	and	CCONJ
ejpam-6723	77	3	fast	fast	ADJ
ejpam-6723	77	4	subsystems	subsystem	NOUN
ejpam-6723	77	5	slow	slow	ADJ
ejpam-6723	77	6	subsystem	subsystem	NOUN
ejpam-6723	77	7	(	(	PUNCT
ejpam-6723	77	8	ε	ε	PROPN
ejpam-6723	77	9	=	=	SYM
ejpam-6723	77	10	0	0	NUM
ejpam-6723	77	11	):	):	PUNCT
ejpam-6723	77	12	x′	x′	PROPN
ejpam-6723	77	13	=	=	PUNCT
ejpam-6723	77	14	a	a	DET
ejpam-6723	77	15	sin(2πθ	sin(2πθ	NOUN
ejpam-6723	77	16	)	)	PUNCT
ejpam-6723	77	17	+	+	NOUN
ejpam-6723	77	18	y	y	PROPN
ejpam-6723	77	19	−	−	PROPN
ejpam-6723	77	20	1.2y3	1.2y3	NUM
ejpam-6723	77	21	−	−	NOUN
ejpam-6723	77	22	β	β	X
ejpam-6723	77	23	(	(	PUNCT
ejpam-6723	77	24	11	11	NUM
ejpam-6723	77	25	)	)	PUNCT
ejpam-6723	77	26	0	0	NUM
ejpam-6723	78	1	=	=	SYM
ejpam-6723	78	2	y	y	PROPN
ejpam-6723	78	3	−	−	PROPN
ejpam-6723	78	4	y3/3	y3/3	NOUN
ejpam-6723	79	1	+	+	CCONJ
ejpam-6723	79	2	x	x	SYM
ejpam-6723	79	3	(	(	PUNCT
ejpam-6723	79	4	12	12	NUM
ejpam-6723	79	5	)	)	PUNCT
ejpam-6723	79	6	θ′	θ′	NOUN
ejpam-6723	79	7	=	=	SYM
ejpam-6723	79	8	ω	ω	NOUN
ejpam-6723	79	9	(	(	PUNCT
ejpam-6723	79	10	13	13	NUM
ejpam-6723	79	11	)	)	PUNCT
ejpam-6723	79	12	fast	fast	ADJ
ejpam-6723	79	13	subsystem	subsystem	NOUN
ejpam-6723	79	14	(	(	PUNCT
ejpam-6723	79	15	layer	layer	NOUN
ejpam-6723	79	16	problem	problem	NOUN
ejpam-6723	79	17	):	):	PUNCT
ejpam-6723	79	18	dx	dx	PROPN
ejpam-6723	79	19	dt	dt	NOUN
ejpam-6723	80	1	=	=	SYM
ejpam-6723	80	2	0	0	NUM
ejpam-6723	80	3	(	(	PUNCT
ejpam-6723	80	4	14	14	NUM
ejpam-6723	80	5	)	)	PUNCT
ejpam-6723	80	6	dy	dy	NOUN
ejpam-6723	80	7	dt	dt	NOUN
ejpam-6723	81	1	=	=	SYM
ejpam-6723	81	2	y	y	PROPN
ejpam-6723	81	3	−	−	PROPN
ejpam-6723	81	4	y3/3	y3/3	NOUN
ejpam-6723	81	5	+	+	CCONJ
ejpam-6723	81	6	x	x	SYM
ejpam-6723	81	7	(	(	PUNCT
ejpam-6723	81	8	15	15	NUM
ejpam-6723	81	9	)	)	PUNCT
ejpam-6723	81	10	dθ	dθ	NOUN
ejpam-6723	81	11	dt	dt	NOUN
ejpam-6723	82	1	=	=	SYM
ejpam-6723	82	2	0	0	PROPN
ejpam-6723	82	3	(	(	PUNCT
ejpam-6723	82	4	16	16	NUM
ejpam-6723	82	5	)	)	PUNCT
ejpam-6723	82	6	where	where	SCONJ
ejpam-6723	82	7	t	t	PROPN
ejpam-6723	82	8	is	be	AUX
ejpam-6723	82	9	fast	fast	ADJ
ejpam-6723	82	10	time	time	NOUN
ejpam-6723	82	11	(	(	PUNCT
ejpam-6723	82	12	t	t	NOUN
ejpam-6723	82	13	=	=	PUNCT
ejpam-6723	82	14	εt	εt	PROPN
ejpam-6723	82	15	)	)	PUNCT
ejpam-6723	82	16	.	.	PUNCT
ejpam-6723	83	1	i	i	PRON
ejpam-6723	83	2	alraddadi	alraddadi	VERB
ejpam-6723	83	3	al	al	PROPN
ejpam-6723	83	4	/	/	PUNCT
ejpam-6723	83	5	eur	eur	PROPN
ejpam-6723	83	6	.	.	PUNCT
ejpam-6723	84	1	j.	j.	PROPN
ejpam-6723	84	2	pure	pure	PROPN
ejpam-6723	84	3	appl	appl	PROPN
ejpam-6723	84	4	.	.	PROPN
ejpam-6723	84	5	math	math	PROPN
ejpam-6723	84	6	,	,	PUNCT
ejpam-6723	84	7	18	18	NUM
ejpam-6723	84	8	(	(	PUNCT
ejpam-6723	84	9	4	4	NUM
ejpam-6723	84	10	)	)	PUNCT
ejpam-6723	84	11	(	(	PUNCT
ejpam-6723	84	12	2025	2025	NUM
ejpam-6723	84	13	)	)	PUNCT
ejpam-6723	84	14	,	,	PUNCT
ejpam-6723	84	15	6723	6723	NUM
ejpam-6723	84	16	6	6	NUM
ejpam-6723	84	17	of	of	ADP
ejpam-6723	84	18	20	20	NUM
ejpam-6723	84	19	3.3	3.3	NUM
ejpam-6723	84	20	.	.	PUNCT
ejpam-6723	85	1	desingularized	desingularize	VERB
ejpam-6723	85	2	reduced	reduce	VERB
ejpam-6723	85	3	system	system	NOUN
ejpam-6723	85	4	the	the	DET
ejpam-6723	85	5	duffing	duffing	NOUN
ejpam-6723	85	6	nonlinearity	nonlinearity	NOUN
ejpam-6723	85	7	term	term	NOUN
ejpam-6723	85	8	g(y	g(y	NOUN
ejpam-6723	85	9	)	)	PUNCT
ejpam-6723	85	10	=	=	PUNCT
ejpam-6723	85	11	−y	−y	VERB
ejpam-6723	85	12	+	+	CCONJ
ejpam-6723	85	13	1.2y3	1.2y3	NUM
ejpam-6723	85	14	significantly	significantly	ADV
ejpam-6723	85	15	affects	affect	VERB
ejpam-6723	85	16	global	global	ADJ
ejpam-6723	85	17	dynamics	dynamic	NOUN
ejpam-6723	85	18	compared	compare	VERB
ejpam-6723	85	19	to	to	ADP
ejpam-6723	85	20	the	the	DET
ejpam-6723	85	21	standard	standard	ADJ
ejpam-6723	85	22	van	van	PROPN
ejpam-6723	85	23	der	der	PROPN
ejpam-6723	85	24	pol	pol	PROPN
ejpam-6723	85	25	oscillator	oscillator	NOUN
ejpam-6723	85	26	[	[	X
ejpam-6723	85	27	10	10	NUM
ejpam-6723	85	28	]	]	PUNCT
ejpam-6723	85	29	.	.	PUNCT
ejpam-6723	86	1	differentiating	differentiate	VERB
ejpam-6723	86	2	the	the	DET
ejpam-6723	86	3	critical	critical	ADJ
ejpam-6723	86	4	manifold	manifold	ADJ
ejpam-6723	86	5	condition	condition	NOUN
ejpam-6723	86	6	and	and	CCONJ
ejpam-6723	86	7	applying	apply	VERB
ejpam-6723	86	8	the	the	DET
ejpam-6723	86	9	chain	chain	NOUN
ejpam-6723	86	10	rule	rule	NOUN
ejpam-6723	86	11	:	:	PUNCT
ejpam-6723	86	12	∂f	∂f	PROPN
ejpam-6723	86	13	∂y	∂y	NOUN
ejpam-6723	86	14	y′	y′	NOUN
ejpam-6723	86	15	+	+	CCONJ
ejpam-6723	86	16	∂f	∂f	PROPN
ejpam-6723	86	17	∂x	∂x	PROPN
ejpam-6723	86	18	x′	x′	PROPN
ejpam-6723	87	1	+	+	CCONJ
ejpam-6723	87	2	∂f	∂f	PROPN
ejpam-6723	87	3	∂θ	∂θ	NOUN
ejpam-6723	87	4	θ′	θ′	NOUN
ejpam-6723	87	5	=	=	SYM
ejpam-6723	87	6	0	0	NUM
ejpam-6723	87	7	(	(	PUNCT
ejpam-6723	87	8	17	17	NUM
ejpam-6723	87	9	)	)	PUNCT
ejpam-6723	87	10	with	with	ADP
ejpam-6723	87	11	∂f/∂y	∂f/∂y	PROPN
ejpam-6723	87	12	=	=	SYM
ejpam-6723	87	13	1−	1−	NUM
ejpam-6723	87	14	y2	y2	NOUN
ejpam-6723	87	15	,	,	PUNCT
ejpam-6723	87	16	∂f/∂x	∂f/∂x	PUNCT
ejpam-6723	87	17	=	=	SYM
ejpam-6723	87	18	1	1	NUM
ejpam-6723	87	19	,	,	PUNCT
ejpam-6723	87	20	∂f/∂θ	∂f/∂θ	PUNCT
ejpam-6723	87	21	=	=	PUNCT
ejpam-6723	88	1	0	0	NUM
ejpam-6723	88	2	:	:	PUNCT
ejpam-6723	88	3	(	(	PUNCT
ejpam-6723	88	4	1−	1−	NUM
ejpam-6723	88	5	y2)y′	y2)y′	NOUN
ejpam-6723	88	6	=	=	NOUN
ejpam-6723	88	7	−(a	−(a	ADJ
ejpam-6723	88	8	sin(2πθ	sin(2πθ	PUNCT
ejpam-6723	88	9	)	)	PUNCT
ejpam-6723	89	1	+	+	CCONJ
ejpam-6723	89	2	y	y	PROPN
ejpam-6723	89	3	−	−	PROPN
ejpam-6723	89	4	1.2y3	1.2y3	NUM
ejpam-6723	89	5	−	−	PROPN
ejpam-6723	89	6	β	β	X
ejpam-6723	89	7	)	)	PUNCT
ejpam-6723	89	8	(	(	PUNCT
ejpam-6723	89	9	18	18	NUM
ejpam-6723	89	10	)	)	PUNCT
ejpam-6723	89	11	rescaling	rescaling	NOUN
ejpam-6723	89	12	time	time	NOUN
ejpam-6723	89	13	by	by	ADP
ejpam-6723	89	14	t	t	PROPN
ejpam-6723	89	15	=	=	SYM
ejpam-6723	89	16	(	(	PUNCT
ejpam-6723	89	17	y2	y2	INTJ
ejpam-6723	89	18	−	−	PROPN
ejpam-6723	90	1	1)s	1)s	NUM
ejpam-6723	90	2	yields	yield	VERB
ejpam-6723	90	3	the	the	DET
ejpam-6723	90	4	desingularized	desingularize	VERB
ejpam-6723	90	5	reduced	reduce	VERB
ejpam-6723	90	6	system	system	NOUN
ejpam-6723	90	7	:	:	PUNCT
ejpam-6723	90	8	dθ	dθ	PROPN
ejpam-6723	90	9	ds	ds	PROPN
ejpam-6723	90	10	=	=	PUNCT
ejpam-6723	90	11	ω(y2	ω(y2	NOUN
ejpam-6723	90	12	−	−	NOUN
ejpam-6723	90	13	1	1	NUM
ejpam-6723	90	14	)	)	PUNCT
ejpam-6723	90	15	(	(	PUNCT
ejpam-6723	90	16	19	19	NUM
ejpam-6723	90	17	)	)	PUNCT
ejpam-6723	90	18	dy	dy	NOUN
ejpam-6723	90	19	ds	ds	NOUN
ejpam-6723	91	1	=	=	PUNCT
ejpam-6723	92	1	a	a	DET
ejpam-6723	92	2	sin(2πθ	sin(2πθ	NOUN
ejpam-6723	92	3	)	)	PUNCT
ejpam-6723	93	1	+	+	NOUN
ejpam-6723	93	2	y	y	PROPN
ejpam-6723	93	3	−	−	PROPN
ejpam-6723	93	4	1.2y3	1.2y3	NUM
ejpam-6723	93	5	−	−	NOUN
ejpam-6723	93	6	β	β	X
ejpam-6723	93	7	(	(	PUNCT
ejpam-6723	93	8	20	20	NUM
ejpam-6723	93	9	)	)	PUNCT
ejpam-6723	93	10	(	(	PUNCT
ejpam-6723	93	11	a	a	X
ejpam-6723	93	12	)	)	PUNCT
ejpam-6723	93	13	symmetric	symmetric	ADJ
ejpam-6723	93	14	case	case	NOUN
ejpam-6723	93	15	(	(	PUNCT
ejpam-6723	93	16	b	b	NOUN
ejpam-6723	93	17	)	)	PUNCT
ejpam-6723	93	18	asymmetric	asymmetric	ADJ
ejpam-6723	93	19	case	case	NOUN
ejpam-6723	93	20	figure	figure	NOUN
ejpam-6723	93	21	2	2	NUM
ejpam-6723	93	22	:	:	PUNCT
ejpam-6723	93	23	(	(	PUNCT
ejpam-6723	93	24	a	a	X
ejpam-6723	93	25	)	)	PUNCT
ejpam-6723	93	26	trajectories	trajectory	NOUN
ejpam-6723	93	27	of	of	ADP
ejpam-6723	93	28	the	the	DET
ejpam-6723	93	29	desingularized	desingularize	VERB
ejpam-6723	93	30	reduced	reduce	VERB
ejpam-6723	93	31	system	system	NOUN
ejpam-6723	93	32	(	(	PUNCT
ejpam-6723	93	33	19	19	NUM
ejpam-6723	93	34	-	-	SYM
ejpam-6723	93	35	20	20	NUM
ejpam-6723	93	36	)	)	PUNCT
ejpam-6723	93	37	for	for	ADP
ejpam-6723	93	38	symmetric	symmetric	ADJ
ejpam-6723	93	39	case	case	NOUN
ejpam-6723	93	40	β	β	X
ejpam-6723	93	41	=	=	NOUN
ejpam-6723	93	42	0	0	NUM
ejpam-6723	93	43	with	with	ADP
ejpam-6723	93	44	parameters	parameter	NOUN
ejpam-6723	93	45	a	a	DET
ejpam-6723	93	46	=	=	SYM
ejpam-6723	93	47	0.55	0.55	NUM
ejpam-6723	93	48	and	and	CCONJ
ejpam-6723	93	49	ω	ω	NUM
ejpam-6723	93	50	=	=	SYM
ejpam-6723	93	51	1.5	1.5	NUM
ejpam-6723	93	52	.	.	PUNCT
ejpam-6723	94	1	the	the	DET
ejpam-6723	94	2	phase	phase	NOUN
ejpam-6723	94	3	portrait	portrait	NOUN
ejpam-6723	94	4	shows	show	VERB
ejpam-6723	94	5	four	four	NUM
ejpam-6723	94	6	folded	fold	VERB
ejpam-6723	94	7	singularities	singularity	NOUN
ejpam-6723	94	8	on	on	ADP
ejpam-6723	94	9	the	the	DET
ejpam-6723	94	10	fold	fold	ADJ
ejpam-6723	94	11	lines	line	NOUN
ejpam-6723	94	12	y	y	PROPN
ejpam-6723	94	13	=	=	SYM
ejpam-6723	94	14	±1	±1	VERB
ejpam-6723	94	15	,	,	PUNCT
ejpam-6723	94	16	with	with	ADP
ejpam-6723	94	17	blue	blue	ADJ
ejpam-6723	94	18	trajectories	trajectory	NOUN
ejpam-6723	94	19	on	on	ADP
ejpam-6723	94	20	the	the	DET
ejpam-6723	94	21	upper	upper	ADJ
ejpam-6723	94	22	stable	stable	ADJ
ejpam-6723	94	23	branch	branch	NOUN
ejpam-6723	94	24	and	and	CCONJ
ejpam-6723	94	25	red	red	ADJ
ejpam-6723	94	26	trajectories	trajectory	NOUN
ejpam-6723	94	27	on	on	ADP
ejpam-6723	94	28	the	the	DET
ejpam-6723	94	29	lower	low	ADJ
ejpam-6723	94	30	stable	stable	ADJ
ejpam-6723	94	31	branch	branch	NOUN
ejpam-6723	94	32	.	.	PUNCT
ejpam-6723	95	1	(	(	PUNCT
ejpam-6723	95	2	b	b	X
ejpam-6723	95	3	)	)	PUNCT
ejpam-6723	95	4	trajectories	trajectory	NOUN
ejpam-6723	95	5	of	of	ADP
ejpam-6723	95	6	the	the	DET
ejpam-6723	95	7	desingularized	desingularize	VERB
ejpam-6723	95	8	reduced	reduce	VERB
ejpam-6723	95	9	system	system	NOUN
ejpam-6723	95	10	(	(	PUNCT
ejpam-6723	95	11	19	19	NUM
ejpam-6723	95	12	-	-	SYM
ejpam-6723	95	13	20	20	NUM
ejpam-6723	95	14	)	)	PUNCT
ejpam-6723	95	15	for	for	ADP
ejpam-6723	95	16	asymmetric	asymmetric	ADJ
ejpam-6723	95	17	case	case	NOUN
ejpam-6723	95	18	β	β	X
ejpam-6723	95	19	=	=	SYM
ejpam-6723	95	20	0.5	0.5	NUM
ejpam-6723	95	21	with	with	ADP
ejpam-6723	95	22	same	same	ADJ
ejpam-6723	95	23	parameters	parameter	NOUN
ejpam-6723	95	24	a	a	DET
ejpam-6723	95	25	=	=	SYM
ejpam-6723	95	26	0.55	0.55	NUM
ejpam-6723	95	27	and	and	CCONJ
ejpam-6723	95	28	ω	ω	NUM
ejpam-6723	95	29	=	=	SYM
ejpam-6723	95	30	1.5	1.5	NUM
ejpam-6723	95	31	.	.	PUNCT
ejpam-6723	96	1	the	the	DET
ejpam-6723	96	2	phase	phase	NOUN
ejpam-6723	96	3	portrait	portrait	NOUN
ejpam-6723	96	4	shows	show	VERB
ejpam-6723	96	5	two	two	NUM
ejpam-6723	96	6	folded	fold	VERB
ejpam-6723	96	7	singularities	singularity	NOUN
ejpam-6723	96	8	on	on	ADP
ejpam-6723	96	9	the	the	DET
ejpam-6723	96	10	fold	fold	ADJ
ejpam-6723	96	11	lines	line	NOUN
ejpam-6723	96	12	y	y	PROPN
ejpam-6723	96	13	=	=	SYM
ejpam-6723	96	14	−1	−1	PROPN
ejpam-6723	96	15	,	,	PUNCT
ejpam-6723	96	16	with	with	ADP
ejpam-6723	96	17	blue	blue	ADJ
ejpam-6723	96	18	trajectories	trajectory	NOUN
ejpam-6723	96	19	on	on	ADP
ejpam-6723	96	20	the	the	DET
ejpam-6723	96	21	upper	upper	ADJ
ejpam-6723	96	22	stable	stable	ADJ
ejpam-6723	96	23	branch	branch	NOUN
ejpam-6723	96	24	and	and	CCONJ
ejpam-6723	96	25	red	red	ADJ
ejpam-6723	96	26	trajectories	trajectory	NOUN
ejpam-6723	96	27	on	on	ADP
ejpam-6723	96	28	the	the	DET
ejpam-6723	96	29	lower	low	ADJ
ejpam-6723	96	30	stable	stable	ADJ
ejpam-6723	96	31	branch	branch	NOUN
ejpam-6723	96	32	.	.	PUNCT
ejpam-6723	97	1	i	i	PRON
ejpam-6723	97	2	alraddadi	alraddadi	VERB
ejpam-6723	97	3	al	al	PROPN
ejpam-6723	97	4	/	/	PUNCT
ejpam-6723	97	5	eur	eur	PROPN
ejpam-6723	97	6	.	.	PUNCT
ejpam-6723	98	1	j.	j.	PROPN
ejpam-6723	98	2	pure	pure	PROPN
ejpam-6723	98	3	appl	appl	PROPN
ejpam-6723	98	4	.	.	PROPN
ejpam-6723	98	5	math	math	PROPN
ejpam-6723	98	6	,	,	PUNCT
ejpam-6723	98	7	18	18	NUM
ejpam-6723	98	8	(	(	PUNCT
ejpam-6723	98	9	4	4	NUM
ejpam-6723	98	10	)	)	PUNCT
ejpam-6723	98	11	(	(	PUNCT
ejpam-6723	98	12	2025	2025	NUM
ejpam-6723	98	13	)	)	PUNCT
ejpam-6723	98	14	,	,	PUNCT
ejpam-6723	98	15	6723	6723	NUM
ejpam-6723	98	16	7	7	NUM
ejpam-6723	98	17	of	of	ADP
ejpam-6723	98	18	20	20	NUM
ejpam-6723	98	19	(	(	PUNCT
ejpam-6723	98	20	a	a	NOUN
ejpam-6723	98	21	)	)	PUNCT
ejpam-6723	98	22	β	β	NOUN
ejpam-6723	98	23	=	=	PUNCT
ejpam-6723	98	24	0.25	0.25	NUM
ejpam-6723	98	25	(	(	PUNCT
ejpam-6723	98	26	b	b	NOUN
ejpam-6723	98	27	)	)	PUNCT
ejpam-6723	98	28	β	β	NOUN
ejpam-6723	98	29	=	=	SYM
ejpam-6723	98	30	0.5	0.5	NUM
ejpam-6723	98	31	figure	figure	NOUN
ejpam-6723	98	32	3	3	NUM
ejpam-6723	98	33	:	:	PUNCT
ejpam-6723	98	34	(	(	PUNCT
ejpam-6723	98	35	a	a	X
ejpam-6723	98	36	)	)	PUNCT
ejpam-6723	98	37	trajectories	trajectory	NOUN
ejpam-6723	98	38	of	of	ADP
ejpam-6723	98	39	the	the	DET
ejpam-6723	98	40	desingularized	desingularize	VERB
ejpam-6723	98	41	reduced	reduce	VERB
ejpam-6723	98	42	system	system	NOUN
ejpam-6723	98	43	(	(	PUNCT
ejpam-6723	98	44	19	19	NUM
ejpam-6723	98	45	-	-	SYM
ejpam-6723	98	46	20	20	NUM
ejpam-6723	98	47	)	)	PUNCT
ejpam-6723	98	48	for	for	ADP
ejpam-6723	98	49	β	β	X
ejpam-6723	98	50	=	=	SYM
ejpam-6723	98	51	1.2	1.2	NUM
ejpam-6723	98	52	with	with	ADP
ejpam-6723	98	53	parameters	parameter	NOUN
ejpam-6723	98	54	a	a	PRON
ejpam-6723	98	55	=	=	SYM
ejpam-6723	98	56	3.5	3.5	NUM
ejpam-6723	98	57	and	and	CCONJ
ejpam-6723	98	58	ω	ω	NUM
ejpam-6723	98	59	=	=	SYM
ejpam-6723	98	60	1.5	1.5	NUM
ejpam-6723	98	61	.	.	PUNCT
ejpam-6723	99	1	the	the	DET
ejpam-6723	99	2	phase	phase	NOUN
ejpam-6723	99	3	portrait	portrait	NOUN
ejpam-6723	99	4	shows	show	VERB
ejpam-6723	99	5	four	four	NUM
ejpam-6723	99	6	folded	fold	VERB
ejpam-6723	99	7	singularities	singularity	NOUN
ejpam-6723	99	8	on	on	ADP
ejpam-6723	99	9	the	the	DET
ejpam-6723	99	10	fold	fold	ADJ
ejpam-6723	99	11	lines	line	NOUN
ejpam-6723	99	12	y	y	PROPN
ejpam-6723	99	13	=	=	SYM
ejpam-6723	99	14	±1	±1	VERB
ejpam-6723	99	15	,	,	PUNCT
ejpam-6723	99	16	with	with	ADP
ejpam-6723	99	17	blue	blue	ADJ
ejpam-6723	99	18	trajectories	trajectory	NOUN
ejpam-6723	99	19	on	on	ADP
ejpam-6723	99	20	the	the	DET
ejpam-6723	99	21	upper	upper	ADJ
ejpam-6723	99	22	stable	stable	ADJ
ejpam-6723	99	23	branch	branch	NOUN
ejpam-6723	99	24	and	and	CCONJ
ejpam-6723	99	25	red	red	ADJ
ejpam-6723	99	26	trajectories	trajectory	NOUN
ejpam-6723	99	27	on	on	ADP
ejpam-6723	99	28	the	the	DET
ejpam-6723	99	29	lower	low	ADJ
ejpam-6723	99	30	stable	stable	ADJ
ejpam-6723	99	31	branch	branch	NOUN
ejpam-6723	99	32	.	.	PUNCT
ejpam-6723	100	1	(	(	PUNCT
ejpam-6723	100	2	b	b	X
ejpam-6723	100	3	)	)	PUNCT
ejpam-6723	100	4	trajectories	trajectory	NOUN
ejpam-6723	100	5	of	of	ADP
ejpam-6723	100	6	the	the	DET
ejpam-6723	100	7	desingularized	desingularize	VERB
ejpam-6723	100	8	reduced	reduce	VERB
ejpam-6723	100	9	system	system	NOUN
ejpam-6723	100	10	(	(	PUNCT
ejpam-6723	100	11	19	19	NUM
ejpam-6723	100	12	-	-	SYM
ejpam-6723	100	13	20	20	NUM
ejpam-6723	100	14	)	)	PUNCT
ejpam-6723	100	15	for	for	ADP
ejpam-6723	100	16	β	β	X
ejpam-6723	100	17	=	=	SYM
ejpam-6723	100	18	1.2	1.2	NUM
ejpam-6723	100	19	with	with	ADP
ejpam-6723	100	20	parameters	parameter	NOUN
ejpam-6723	101	1	a	a	DET
ejpam-6723	101	2	=	=	SYM
ejpam-6723	101	3	3.5	3.5	NUM
ejpam-6723	101	4	and	and	CCONJ
ejpam-6723	101	5	ω	ω	NUM
ejpam-6723	101	6	=	=	SYM
ejpam-6723	101	7	1.5	1.5	NUM
ejpam-6723	101	8	.	.	PUNCT
ejpam-6723	102	1	the	the	DET
ejpam-6723	102	2	phase	phase	NOUN
ejpam-6723	102	3	portrait	portrait	NOUN
ejpam-6723	102	4	shows	show	VERB
ejpam-6723	102	5	four	four	NUM
ejpam-6723	102	6	folded	fold	VERB
ejpam-6723	102	7	singularities	singularity	NOUN
ejpam-6723	102	8	on	on	ADP
ejpam-6723	102	9	the	the	DET
ejpam-6723	102	10	fold	fold	ADJ
ejpam-6723	102	11	lines	line	NOUN
ejpam-6723	102	12	y	y	PROPN
ejpam-6723	102	13	=	=	SYM
ejpam-6723	102	14	±1	±1	VERB
ejpam-6723	102	15	,	,	PUNCT
ejpam-6723	102	16	with	with	ADP
ejpam-6723	102	17	blue	blue	ADJ
ejpam-6723	102	18	trajectories	trajectory	NOUN
ejpam-6723	102	19	on	on	ADP
ejpam-6723	102	20	the	the	DET
ejpam-6723	102	21	upper	upper	ADJ
ejpam-6723	102	22	stable	stable	ADJ
ejpam-6723	102	23	branch	branch	NOUN
ejpam-6723	102	24	and	and	CCONJ
ejpam-6723	102	25	red	red	ADJ
ejpam-6723	102	26	trajectories	trajectory	NOUN
ejpam-6723	102	27	on	on	ADP
ejpam-6723	102	28	the	the	DET
ejpam-6723	102	29	lower	low	ADJ
ejpam-6723	102	30	stable	stable	ADJ
ejpam-6723	102	31	branch	branch	NOUN
ejpam-6723	102	32	.	.	PUNCT
ejpam-6723	103	1	notes	note	VERB
ejpam-6723	103	2	some	some	DET
ejpam-6723	103	3	blue	blue	ADJ
ejpam-6723	103	4	trajectories	trajectory	NOUN
ejpam-6723	103	5	attract	attract	VERB
ejpam-6723	103	6	to	to	ADP
ejpam-6723	103	7	stable	stable	ADJ
ejpam-6723	103	8	folded	fold	VERB
ejpam-6723	103	9	singularities	singularity	NOUN
ejpam-6723	103	10	equilibrium	equilibrium	NOUN
ejpam-6723	103	11	point	point	NOUN
ejpam-6723	103	12	on	on	ADP
ejpam-6723	103	13	lower	low	ADJ
ejpam-6723	103	14	stable	stable	ADJ
ejpam-6723	103	15	branch	branch	NOUN
ejpam-6723	103	16	i	i	PRON
ejpam-6723	103	17	alraddadi	alraddadi	VERB
ejpam-6723	103	18	al	al	PROPN
ejpam-6723	103	19	/	/	PUNCT
ejpam-6723	103	20	eur	eur	PROPN
ejpam-6723	103	21	.	.	PUNCT
ejpam-6723	104	1	j.	j.	PROPN
ejpam-6723	104	2	pure	pure	PROPN
ejpam-6723	104	3	appl	appl	PROPN
ejpam-6723	104	4	.	.	PROPN
ejpam-6723	104	5	math	math	PROPN
ejpam-6723	104	6	,	,	PUNCT
ejpam-6723	104	7	18	18	NUM
ejpam-6723	104	8	(	(	PUNCT
ejpam-6723	104	9	4	4	NUM
ejpam-6723	104	10	)	)	PUNCT
ejpam-6723	104	11	(	(	PUNCT
ejpam-6723	104	12	2025	2025	NUM
ejpam-6723	104	13	)	)	PUNCT
ejpam-6723	104	14	,	,	PUNCT
ejpam-6723	104	15	6723	6723	NUM
ejpam-6723	104	16	8	8	NUM
ejpam-6723	104	17	of	of	ADP
ejpam-6723	104	18	20	20	NUM
ejpam-6723	104	19	(	(	PUNCT
ejpam-6723	104	20	a	a	NOUN
ejpam-6723	104	21	)	)	PUNCT
ejpam-6723	104	22	β	β	NOUN
ejpam-6723	104	23	=	=	PUNCT
ejpam-6723	104	24	0.8	0.8	NUM
ejpam-6723	104	25	(	(	PUNCT
ejpam-6723	104	26	b	b	NOUN
ejpam-6723	104	27	)	)	PUNCT
ejpam-6723	104	28	β	β	NOUN
ejpam-6723	104	29	=	=	SYM
ejpam-6723	104	30	1.2	1.2	NUM
ejpam-6723	104	31	figure	figure	NOUN
ejpam-6723	104	32	4	4	NUM
ejpam-6723	104	33	:	:	PUNCT
ejpam-6723	104	34	(	(	PUNCT
ejpam-6723	104	35	a)trajectories	a)trajectorie	NOUN
ejpam-6723	104	36	of	of	ADP
ejpam-6723	104	37	the	the	DET
ejpam-6723	104	38	desingularized	desingularize	VERB
ejpam-6723	104	39	reduced	reduce	VERB
ejpam-6723	104	40	system	system	NOUN
ejpam-6723	104	41	(	(	PUNCT
ejpam-6723	104	42	19	19	NUM
ejpam-6723	104	43	-	-	SYM
ejpam-6723	104	44	20	20	NUM
ejpam-6723	104	45	)	)	PUNCT
ejpam-6723	104	46	for	for	ADP
ejpam-6723	104	47	β	β	NOUN
ejpam-6723	104	48	=	=	SYM
ejpam-6723	104	49	0.8	0.8	NUM
ejpam-6723	104	50	with	with	ADP
ejpam-6723	104	51	parameters	parameter	NOUN
ejpam-6723	104	52	a	a	PRON
ejpam-6723	104	53	=	=	SYM
ejpam-6723	104	54	3.5	3.5	NUM
ejpam-6723	104	55	and	and	CCONJ
ejpam-6723	104	56	ω	ω	NUM
ejpam-6723	104	57	=	=	SYM
ejpam-6723	104	58	1.5	1.5	NUM
ejpam-6723	104	59	.	.	PUNCT
ejpam-6723	105	1	the	the	DET
ejpam-6723	105	2	system	system	NOUN
ejpam-6723	105	3	exhibits	exhibit	VERB
ejpam-6723	105	4	similar	similar	ADJ
ejpam-6723	105	5	folded	fold	VERB
ejpam-6723	105	6	singularity	singularity	NOUN
ejpam-6723	105	7	structure	structure	NOUN
ejpam-6723	105	8	but	but	CCONJ
ejpam-6723	105	9	with	with	ADP
ejpam-6723	105	10	altered	altered	ADJ
ejpam-6723	105	11	positions	position	NOUN
ejpam-6723	105	12	due	due	ADP
ejpam-6723	105	13	to	to	ADP
ejpam-6723	105	14	the	the	DET
ejpam-6723	105	15	different	different	ADJ
ejpam-6723	105	16	symmetry	symmetry	NOUN
ejpam-6723	105	17	-	-	PUNCT
ejpam-6723	105	18	breaking	break	VERB
ejpam-6723	105	19	parameter	parameter	NOUN
ejpam-6723	105	20	value	value	NOUN
ejpam-6723	105	21	.	.	PUNCT
ejpam-6723	106	1	(	(	PUNCT
ejpam-6723	106	2	b	b	X
ejpam-6723	106	3	)	)	PUNCT
ejpam-6723	106	4	trajectories	trajectory	NOUN
ejpam-6723	106	5	of	of	ADP
ejpam-6723	106	6	the	the	DET
ejpam-6723	106	7	desingularized	desingularize	VERB
ejpam-6723	106	8	reduced	reduce	VERB
ejpam-6723	106	9	system	system	NOUN
ejpam-6723	106	10	(	(	PUNCT
ejpam-6723	106	11	19	19	NUM
ejpam-6723	106	12	-	-	SYM
ejpam-6723	106	13	20	20	NUM
ejpam-6723	106	14	)	)	PUNCT
ejpam-6723	106	15	for	for	ADP
ejpam-6723	106	16	β	β	X
ejpam-6723	106	17	=	=	SYM
ejpam-6723	106	18	1.2	1.2	NUM
ejpam-6723	106	19	with	with	ADP
ejpam-6723	106	20	parameters	parameter	NOUN
ejpam-6723	106	21	a	a	PRON
ejpam-6723	106	22	=	=	SYM
ejpam-6723	106	23	3.5	3.5	NUM
ejpam-6723	106	24	and	and	CCONJ
ejpam-6723	106	25	ω	ω	NUM
ejpam-6723	106	26	=	=	SYM
ejpam-6723	106	27	1.5	1.5	NUM
ejpam-6723	106	28	.	.	PUNCT
ejpam-6723	107	1	the	the	DET
ejpam-6723	107	2	phase	phase	NOUN
ejpam-6723	107	3	portrait	portrait	NOUN
ejpam-6723	107	4	shows	show	VERB
ejpam-6723	107	5	four	four	NUM
ejpam-6723	107	6	folded	fold	VERB
ejpam-6723	107	7	singularities	singularity	NOUN
ejpam-6723	107	8	on	on	ADP
ejpam-6723	107	9	the	the	DET
ejpam-6723	107	10	fold	fold	ADJ
ejpam-6723	107	11	lines	line	NOUN
ejpam-6723	107	12	y	y	PROPN
ejpam-6723	107	13	=	=	SYM
ejpam-6723	107	14	±1	±1	VERB
ejpam-6723	107	15	,	,	PUNCT
ejpam-6723	107	16	with	with	ADP
ejpam-6723	107	17	blue	blue	ADJ
ejpam-6723	107	18	trajectories	trajectory	NOUN
ejpam-6723	107	19	on	on	ADP
ejpam-6723	107	20	the	the	DET
ejpam-6723	107	21	upper	upper	ADJ
ejpam-6723	107	22	stable	stable	ADJ
ejpam-6723	107	23	branch	branch	NOUN
ejpam-6723	107	24	and	and	CCONJ
ejpam-6723	107	25	red	red	ADJ
ejpam-6723	107	26	trajectories	trajectory	NOUN
ejpam-6723	107	27	on	on	ADP
ejpam-6723	107	28	the	the	DET
ejpam-6723	107	29	lower	low	ADJ
ejpam-6723	107	30	stable	stable	ADJ
ejpam-6723	107	31	branch	branch	NOUN
ejpam-6723	107	32	.	.	PUNCT
ejpam-6723	108	1	figures	figure	NOUN
ejpam-6723	108	2	2	2	NUM
ejpam-6723	108	3	to	to	PART
ejpam-6723	108	4	4	4	NUM
ejpam-6723	108	5	illustrate	illustrate	VERB
ejpam-6723	108	6	the	the	DET
ejpam-6723	108	7	evolution	evolution	NOUN
ejpam-6723	108	8	of	of	ADP
ejpam-6723	108	9	system	system	NOUN
ejpam-6723	108	10	(	(	PUNCT
ejpam-6723	108	11	19	19	NUM
ejpam-6723	108	12	-	-	SYM
ejpam-6723	108	13	20	20	NUM
ejpam-6723	108	14	)	)	PUNCT
ejpam-6723	108	15	as	as	SCONJ
ejpam-6723	108	16	the	the	DET
ejpam-6723	108	17	symmetry	symmetry	NOUN
ejpam-6723	108	18	-	-	PUNCT
ejpam-6723	108	19	breaking	break	VERB
ejpam-6723	108	20	parameter	parameter	NOUN
ejpam-6723	108	21	β	β	PROPN
ejpam-6723	108	22	varies	vary	VERB
ejpam-6723	108	23	from	from	ADP
ejpam-6723	108	24	0	0	NUM
ejpam-6723	108	25	to	to	ADP
ejpam-6723	108	26	1.2	1.2	NUM
ejpam-6723	108	27	.	.	PUNCT
ejpam-6723	109	1	the	the	DET
ejpam-6723	109	2	phase	phase	NOUN
ejpam-6723	109	3	portraits	portrait	NOUN
ejpam-6723	109	4	reveal	reveal	VERB
ejpam-6723	109	5	how	how	SCONJ
ejpam-6723	109	6	β	β	PRON
ejpam-6723	109	7	systematically	systematically	ADV
ejpam-6723	109	8	affects	affect	VERB
ejpam-6723	109	9	the	the	DET
ejpam-6723	109	10	position	position	NOUN
ejpam-6723	109	11	and	and	CCONJ
ejpam-6723	109	12	stability	stability	NOUN
ejpam-6723	109	13	of	of	ADP
ejpam-6723	109	14	folded	fold	VERB
ejpam-6723	109	15	singularities	singularity	NOUN
ejpam-6723	109	16	on	on	ADP
ejpam-6723	109	17	the	the	DET
ejpam-6723	109	18	fold	fold	ADJ
ejpam-6723	109	19	lines	line	NOUN
ejpam-6723	109	20	y	y	PROPN
ejpam-6723	109	21	=	=	PUNCT
ejpam-6723	109	22	±1	±1	VERB
ejpam-6723	109	23	.	.	PUNCT
ejpam-6723	110	1	as	as	SCONJ
ejpam-6723	110	2	β	β	PROPN
ejpam-6723	110	3	decreases	decrease	NOUN
ejpam-6723	110	4	,	,	PUNCT
ejpam-6723	110	5	the	the	DET
ejpam-6723	110	6	system	system	NOUN
ejpam-6723	110	7	transitions	transition	NOUN
ejpam-6723	110	8	from	from	ADP
ejpam-6723	110	9	highly	highly	ADV
ejpam-6723	110	10	asymmetric	asymmetric	ADJ
ejpam-6723	110	11	behavior	behavior	NOUN
ejpam-6723	110	12	toward	toward	ADP
ejpam-6723	110	13	the	the	DET
ejpam-6723	110	14	symmetric	symmetric	ADJ
ejpam-6723	110	15	case	case	NOUN
ejpam-6723	110	16	,	,	PUNCT
ejpam-6723	110	17	demonstrating	demonstrate	VERB
ejpam-6723	110	18	the	the	DET
ejpam-6723	110	19	crucial	crucial	ADJ
ejpam-6723	110	20	role	role	NOUN
ejpam-6723	110	21	of	of	ADP
ejpam-6723	110	22	this	this	DET
ejpam-6723	110	23	parameter	parameter	NOUN
ejpam-6723	110	24	in	in	ADP
ejpam-6723	110	25	controlling	control	VERB
ejpam-6723	110	26	the	the	DET
ejpam-6723	110	27	global	global	ADJ
ejpam-6723	110	28	dynamics	dynamic	NOUN
ejpam-6723	110	29	of	of	ADP
ejpam-6723	110	30	the	the	DET
ejpam-6723	110	31	desingularized	desingularize	VERB
ejpam-6723	110	32	reduced	reduce	VERB
ejpam-6723	110	33	system	system	NOUN
ejpam-6723	110	34	.	.	PUNCT
ejpam-6723	111	1	3.4	3.4	NUM
ejpam-6723	111	2	.	.	PUNCT
ejpam-6723	111	3	folded	fold	VERB
ejpam-6723	111	4	singularities	singularity	NOUN
ejpam-6723	111	5	folded	fold	VERB
ejpam-6723	111	6	singularities	singularity	NOUN
ejpam-6723	111	7	occur	occur	VERB
ejpam-6723	111	8	where	where	SCONJ
ejpam-6723	111	9	dy	dy	NOUN
ejpam-6723	111	10	/	/	SYM
ejpam-6723	111	11	ds	ds	ADJ
ejpam-6723	111	12	=	=	NOUN
ejpam-6723	111	13	0	0	NUM
ejpam-6723	111	14	and	and	CCONJ
ejpam-6723	111	15	y	y	PROPN
ejpam-6723	111	16	=	=	PUNCT
ejpam-6723	111	17	±1	±1	VERB
ejpam-6723	111	18	.	.	PUNCT
ejpam-6723	112	1	for	for	ADP
ejpam-6723	112	2	y	y	PROPN
ejpam-6723	112	3	=	=	SYM
ejpam-6723	112	4	1	1	NUM
ejpam-6723	112	5	:	:	PUNCT
ejpam-6723	112	6	sin(2πθ	sin(2πθ	NUM
ejpam-6723	112	7	)	)	PUNCT
ejpam-6723	112	8	=	=	PUNCT
ejpam-6723	112	9	β	β	PROPN
ejpam-6723	112	10	−	−	PROPN
ejpam-6723	112	11	0.8	0.8	NUM
ejpam-6723	112	12	a	a	DET
ejpam-6723	112	13	(	(	PUNCT
ejpam-6723	112	14	21	21	NUM
ejpam-6723	112	15	)	)	PUNCT
ejpam-6723	112	16	for	for	ADP
ejpam-6723	112	17	y	y	PROPN
ejpam-6723	112	18	=	=	SYM
ejpam-6723	112	19	−1	−1	NOUN
ejpam-6723	112	20	:	:	PUNCT
ejpam-6723	112	21	sin(2πθ	sin(2πθ	PRON
ejpam-6723	112	22	)	)	PUNCT
ejpam-6723	112	23	=	=	PUNCT
ejpam-6723	112	24	β	β	PROPN
ejpam-6723	112	25	−	−	NOUN
ejpam-6723	112	26	0.2	0.2	NUM
ejpam-6723	112	27	a	a	DET
ejpam-6723	112	28	(	(	PUNCT
ejpam-6723	112	29	22	22	NUM
ejpam-6723	112	30	)	)	PUNCT
ejpam-6723	112	31	the	the	DET
ejpam-6723	112	32	eigenvalues	eigenvalue	NOUN
ejpam-6723	112	33	at	at	ADP
ejpam-6723	112	34	folded	fold	VERB
ejpam-6723	112	35	singularities	singularity	NOUN
ejpam-6723	112	36	determine	determine	VERB
ejpam-6723	112	37	their	their	PRON
ejpam-6723	112	38	type	type	NOUN
ejpam-6723	112	39	:	:	PUNCT
ejpam-6723	112	40	λ1,2	λ1,2	PROPN
ejpam-6723	112	41	=	=	SYM
ejpam-6723	112	42	1−	1−	NUM
ejpam-6723	112	43	3.6y2	3.6y2	NUM
ejpam-6723	112	44	±	±	NOUN
ejpam-6723	112	45	√	√	PUNCT
ejpam-6723	112	46	(	(	PUNCT
ejpam-6723	112	47	1−	1−	NUM
ejpam-6723	112	48	3.6y2)2	3.6y2)2	NUM
ejpam-6723	112	49	+	+	NUM
ejpam-6723	112	50	16ωπa	16ωπa	NOUN
ejpam-6723	112	51	cos(2πθ	cos(2πθ	SYM
ejpam-6723	112	52	)	)	PUNCT
ejpam-6723	112	53	2	2	NUM
ejpam-6723	112	54	(	(	PUNCT
ejpam-6723	112	55	23	23	NUM
ejpam-6723	112	56	)	)	PUNCT
ejpam-6723	112	57	i	i	PRON
ejpam-6723	112	58	alraddadi	alraddadi	VERB
ejpam-6723	112	59	al	al	PROPN
ejpam-6723	112	60	/	/	PUNCT
ejpam-6723	112	61	eur	eur	PROPN
ejpam-6723	112	62	.	.	PUNCT
ejpam-6723	113	1	j.	j.	PROPN
ejpam-6723	113	2	pure	pure	PROPN
ejpam-6723	113	3	appl	appl	PROPN
ejpam-6723	113	4	.	.	PROPN
ejpam-6723	113	5	math	math	PROPN
ejpam-6723	113	6	,	,	PUNCT
ejpam-6723	113	7	18	18	NUM
ejpam-6723	113	8	(	(	PUNCT
ejpam-6723	113	9	4	4	NUM
ejpam-6723	113	10	)	)	PUNCT
ejpam-6723	113	11	(	(	PUNCT
ejpam-6723	113	12	2025	2025	NUM
ejpam-6723	113	13	)	)	PUNCT
ejpam-6723	113	14	,	,	PUNCT
ejpam-6723	113	15	6723	6723	NUM
ejpam-6723	113	16	9	9	NUM
ejpam-6723	113	17	of	of	ADP
ejpam-6723	113	18	20	20	NUM
ejpam-6723	113	19	4	4	NUM
ejpam-6723	113	20	.	.	PUNCT
ejpam-6723	114	1	poincaré	poincaré	ADJ
ejpam-6723	114	2	return	return	NOUN
ejpam-6723	114	3	map	map	NOUN
ejpam-6723	114	4	analysis	analysis	NOUN
ejpam-6723	114	5	4.1	4.1	NUM
ejpam-6723	114	6	.	.	PUNCT
ejpam-6723	115	1	construction	construction	NOUN
ejpam-6723	115	2	of	of	ADP
ejpam-6723	115	3	return	return	NOUN
ejpam-6723	115	4	map	map	NOUN
ejpam-6723	115	5	following	follow	VERB
ejpam-6723	115	6	guckenheimer	guckenheimer	PROPN
ejpam-6723	115	7	et	et	PROPN
ejpam-6723	115	8	al	al	PROPN
ejpam-6723	115	9	.	.	PROPN
ejpam-6723	116	1	(	(	PUNCT
ejpam-6723	116	2	2003	2003	NUM
ejpam-6723	116	3	)	)	PUNCT
ejpam-6723	117	1	[	[	X
ejpam-6723	117	2	9	9	NUM
ejpam-6723	117	3	]	]	PUNCT
ejpam-6723	117	4	,	,	PUNCT
ejpam-6723	117	5	we	we	PRON
ejpam-6723	117	6	construct	construct	VERB
ejpam-6723	117	7	a	a	DET
ejpam-6723	117	8	poincaré	poincaré	ADJ
ejpam-6723	117	9	return	return	NOUN
ejpam-6723	117	10	map	map	NOUN
ejpam-6723	117	11	f	f	X
ejpam-6723	117	12	:	:	PUNCT
ejpam-6723	117	13	s2	s2	PROPN
ejpam-6723	117	14	→	→	SYM
ejpam-6723	117	15	s2	s2	NOUN
ejpam-6723	117	16	from	from	ADP
ejpam-6723	117	17	the	the	DET
ejpam-6723	117	18	section	section	NOUN
ejpam-6723	117	19	y	y	PROPN
ejpam-6723	117	20	=	=	SYM
ejpam-6723	117	21	2	2	NUM
ejpam-6723	117	22	to	to	ADP
ejpam-6723	117	23	itself	itself	PRON
ejpam-6723	117	24	.	.	PUNCT
ejpam-6723	118	1	the	the	DET
ejpam-6723	118	2	map	map	NOUN
ejpam-6723	118	3	decomposes	decompose	VERB
ejpam-6723	118	4	as	as	ADP
ejpam-6723	118	5	:	:	PUNCT
ejpam-6723	118	6	f	f	X
ejpam-6723	118	7	=	=	SYM
ejpam-6723	118	8	j−	j−	PROPN
ejpam-6723	118	9	◦	◦	NOUN
ejpam-6723	118	10	p−	p−	NOUN
ejpam-6723	118	11	◦	◦	NOUN
ejpam-6723	118	12	j+	j+	NUM
ejpam-6723	118	13	◦	◦	NOUN
ejpam-6723	118	14	p+	p+	NOUN
ejpam-6723	118	15	(	(	PUNCT
ejpam-6723	118	16	24	24	NUM
ejpam-6723	118	17	)	)	PUNCT
ejpam-6723	118	18	where	where	SCONJ
ejpam-6723	118	19	:	:	PUNCT
ejpam-6723	118	20	•	•	PROPN
ejpam-6723	118	21	p+	p+	NOUN
ejpam-6723	118	22	:	:	PUNCT
ejpam-6723	118	23	s2	s2	PROPN
ejpam-6723	118	24	→	→	SYM
ejpam-6723	118	25	s1	s1	NOUN
ejpam-6723	118	26	(	(	PUNCT
ejpam-6723	118	27	flow	flow	NOUN
ejpam-6723	118	28	on	on	ADP
ejpam-6723	118	29	stable	stable	ADJ
ejpam-6723	118	30	manifold	manifold	NOUN
ejpam-6723	118	31	from	from	ADP
ejpam-6723	118	32	y	y	PROPN
ejpam-6723	118	33	=	=	SYM
ejpam-6723	118	34	2	2	NUM
ejpam-6723	118	35	to	to	ADP
ejpam-6723	118	36	y	y	PROPN
ejpam-6723	118	37	=	=	SYM
ejpam-6723	118	38	1	1	NUM
ejpam-6723	118	39	)	)	PUNCT
ejpam-6723	118	40	•	•	NUM
ejpam-6723	118	41	j+	j+	NUM
ejpam-6723	118	42	:	:	PUNCT
ejpam-6723	118	43	s1	s1	PROPN
ejpam-6723	118	44	→	→	SYM
ejpam-6723	118	45	s−2	s−2	PROPN
ejpam-6723	118	46	(	(	PUNCT
ejpam-6723	118	47	jump	jump	NOUN
ejpam-6723	118	48	map	map	NOUN
ejpam-6723	118	49	from	from	ADP
ejpam-6723	118	50	fold	fold	ADJ
ejpam-6723	118	51	line	line	NOUN
ejpam-6723	118	52	l+	l+	NOUN
ejpam-6723	118	53	to	to	ADP
ejpam-6723	118	54	y	y	PROPN
ejpam-6723	118	55	=	=	PUNCT
ejpam-6723	118	56	−2	−2	NOUN
ejpam-6723	118	57	)	)	PUNCT
ejpam-6723	118	58	•	•	NUM
ejpam-6723	119	1	p−	p−	NOUN
ejpam-6723	119	2	:	:	PUNCT
ejpam-6723	119	3	s−2	s−2	PROPN
ejpam-6723	119	4	→	→	SYM
ejpam-6723	119	5	s−1	s−1	PROPN
ejpam-6723	119	6	(	(	PUNCT
ejpam-6723	119	7	flow	flow	NOUN
ejpam-6723	119	8	on	on	ADP
ejpam-6723	119	9	stable	stable	ADJ
ejpam-6723	119	10	manifold	manifold	NOUN
ejpam-6723	119	11	from	from	ADP
ejpam-6723	119	12	y	y	PROPN
ejpam-6723	119	13	=	=	PUNCT
ejpam-6723	119	14	−2	−2	NOUN
ejpam-6723	119	15	to	to	ADP
ejpam-6723	119	16	y	y	PROPN
ejpam-6723	119	17	=	=	PUNCT
ejpam-6723	119	18	−1	−1	NOUN
ejpam-6723	119	19	)	)	PUNCT
ejpam-6723	119	20	•	•	NOUN
ejpam-6723	119	21	j−	j−	INTJ
ejpam-6723	119	22	:	:	PUNCT
ejpam-6723	119	23	s−1	s−1	PROPN
ejpam-6723	119	24	→	→	SYM
ejpam-6723	119	25	s2	s2	PROPN
ejpam-6723	119	26	(	(	PUNCT
ejpam-6723	119	27	jump	jump	NOUN
ejpam-6723	119	28	map	map	NOUN
ejpam-6723	119	29	from	from	ADP
ejpam-6723	119	30	fold	fold	ADJ
ejpam-6723	119	31	line	line	NOUN
ejpam-6723	119	32	l−	l−	NOUN
ejpam-6723	119	33	to	to	ADP
ejpam-6723	119	34	y	y	PROPN
ejpam-6723	119	35	=	=	SYM
ejpam-6723	119	36	2	2	X
ejpam-6723	119	37	)	)	PUNCT
ejpam-6723	119	38	the	the	DET
ejpam-6723	119	39	jump	jump	NOUN
ejpam-6723	119	40	maps	map	NOUN
ejpam-6723	119	41	are	be	AUX
ejpam-6723	119	42	explicit	explicit	ADJ
ejpam-6723	119	43	:	:	PUNCT
ejpam-6723	119	44	j+(θ	j+(θ	NOUN
ejpam-6723	119	45	,	,	PUNCT
ejpam-6723	119	46	1	1	X
ejpam-6723	119	47	)	)	PUNCT
ejpam-6723	119	48	=	=	SYM
ejpam-6723	119	49	(	(	PUNCT
ejpam-6723	119	50	θ,−2	θ,−2	VERB
ejpam-6723	119	51	)	)	PUNCT
ejpam-6723	119	52	and	and	CCONJ
ejpam-6723	119	53	j−(θ,−1	j−(θ,−1	NOUN
ejpam-6723	119	54	)	)	PUNCT
ejpam-6723	120	1	=	=	SYM
ejpam-6723	120	2	(	(	PUNCT
ejpam-6723	120	3	θ	θ	PROPN
ejpam-6723	120	4	,	,	PUNCT
ejpam-6723	120	5	2	2	NUM
ejpam-6723	120	6	)	)	PUNCT
ejpam-6723	120	7	,	,	PUNCT
ejpam-6723	120	8	while	while	SCONJ
ejpam-6723	120	9	p+	p+	VERB
ejpam-6723	120	10	and	and	CCONJ
ejpam-6723	120	11	p−	p−	NOUN
ejpam-6723	120	12	are	be	AUX
ejpam-6723	120	13	computed	compute	VERB
ejpam-6723	120	14	by	by	ADP
ejpam-6723	120	15	numerical	numerical	ADJ
ejpam-6723	120	16	integration	integration	NOUN
ejpam-6723	120	17	of	of	ADP
ejpam-6723	120	18	the	the	DET
ejpam-6723	120	19	desingularized	desingularize	VERB
ejpam-6723	120	20	system	system	NOUN
ejpam-6723	120	21	(	(	PUNCT
ejpam-6723	120	22	19)–(20	19)–(20	NUM
ejpam-6723	120	23	)	)	PUNCT
ejpam-6723	120	24	(	(	PUNCT
ejpam-6723	120	25	matlab	matlab	PROPN
ejpam-6723	120	26	code	code	PROPN
ejpam-6723	120	27	is	be	AUX
ejpam-6723	120	28	shown	show	VERB
ejpam-6723	120	29	in	in	ADP
ejpam-6723	120	30	[	[	X
ejpam-6723	120	31	14	14	NUM
ejpam-6723	120	32	]	]	SYM
ejpam-6723	120	33	)	)	PUNCT
ejpam-6723	120	34	4.2	4.2	NUM
ejpam-6723	120	35	.	.	PUNCT
ejpam-6723	121	1	poincaré	poincaré	ADJ
ejpam-6723	121	2	return	return	NOUN
ejpam-6723	121	3	map	map	NOUN
ejpam-6723	121	4	analysis	analysis	NOUN
ejpam-6723	121	5	the	the	DET
ejpam-6723	121	6	construction	construction	NOUN
ejpam-6723	121	7	of	of	ADP
ejpam-6723	121	8	poincaré	poincaré	ADJ
ejpam-6723	121	9	return	return	NOUN
ejpam-6723	121	10	maps	map	NOUN
ejpam-6723	121	11	reveals	reveal	VERB
ejpam-6723	121	12	fundamental	fundamental	ADJ
ejpam-6723	121	13	differences	difference	NOUN
ejpam-6723	121	14	between	between	ADP
ejpam-6723	121	15	symmetric	symmetric	ADJ
ejpam-6723	121	16	and	and	CCONJ
ejpam-6723	121	17	asymmetric	asymmetric	ADJ
ejpam-6723	121	18	systems	system	NOUN
ejpam-6723	121	19	.	.	PUNCT
ejpam-6723	122	1	in	in	ADP
ejpam-6723	122	2	the	the	DET
ejpam-6723	122	3	symmetric	symmetric	ADJ
ejpam-6723	122	4	van	van	PROPN
ejpam-6723	122	5	der	der	PROPN
ejpam-6723	122	6	pol	pol	PROPN
ejpam-6723	122	7	oscillator	oscillator	NOUN
ejpam-6723	122	8	,	,	PUNCT
ejpam-6723	122	9	the	the	DET
ejpam-6723	122	10	return	return	NOUN
ejpam-6723	122	11	map	map	NOUN
ejpam-6723	122	12	f	f	X
ejpam-6723	122	13	:	:	PUNCT
ejpam-6723	122	14	s2	s2	PROPN
ejpam-6723	122	15	→	→	SYM
ejpam-6723	122	16	s2	s2	NOUN
ejpam-6723	122	17	exhibits	exhibit	VERB
ejpam-6723	122	18	classical	classical	ADJ
ejpam-6723	122	19	circle	circle	NOUN
ejpam-6723	122	20	map	map	NOUN
ejpam-6723	122	21	behavior	behavior	NOUN
ejpam-6723	122	22	for	for	ADP
ejpam-6723	122	23	small	small	ADJ
ejpam-6723	122	24	forcing	force	VERB
ejpam-6723	122	25	amplitudes	amplitude	NOUN
ejpam-6723	122	26	,	,	PUNCT
ejpam-6723	122	27	with	with	ADP
ejpam-6723	122	28	smooth	smooth	ADJ
ejpam-6723	122	29	,	,	PUNCT
ejpam-6723	122	30	invertible	invertible	ADJ
ejpam-6723	122	31	dynamics	dynamic	NOUN
ejpam-6723	122	32	.	.	PUNCT
ejpam-6723	123	1	as	as	ADP
ejpam-6723	123	2	forcing	force	VERB
ejpam-6723	123	3	amplitude	amplitude	NOUN
ejpam-6723	123	4	increases	increase	NOUN
ejpam-6723	123	5	beyond	beyond	ADP
ejpam-6723	123	6	a	a	DET
ejpam-6723	123	7	=	=	SYM
ejpam-6723	123	8	1	1	NUM
ejpam-6723	123	9	,	,	PUNCT
ejpam-6723	123	10	the	the	DET
ejpam-6723	123	11	map	map	NOUN
ejpam-6723	123	12	becomes	become	VERB
ejpam-6723	123	13	non	non	ADJ
ejpam-6723	123	14	-	-	ADJ
ejpam-6723	123	15	invertible	invertible	ADJ
ejpam-6723	123	16	with	with	ADP
ejpam-6723	123	17	gap	gap	NOUN
ejpam-6723	123	18	regions	region	NOUN
ejpam-6723	123	19	corresponding	correspond	VERB
ejpam-6723	123	20	to	to	ADP
ejpam-6723	123	21	folded	fold	VERB
ejpam-6723	123	22	equilibria	equilibrium	NOUN
ejpam-6723	123	23	,	,	PUNCT
ejpam-6723	123	24	but	but	CCONJ
ejpam-6723	123	25	these	these	DET
ejpam-6723	123	26	gaps	gap	NOUN
ejpam-6723	123	27	appear	appear	VERB
ejpam-6723	123	28	symmetrically	symmetrically	ADV
ejpam-6723	123	29	.	.	PUNCT
ejpam-6723	124	1	(	(	PUNCT
ejpam-6723	124	2	author	author	NOUN
ejpam-6723	124	3	?	?	PUNCT
ejpam-6723	124	4	)	)	PUNCT
ejpam-6723	125	1	[	[	X
ejpam-6723	125	2	15	15	NUM
ejpam-6723	125	3	]	]	PUNCT
ejpam-6723	125	4	showed	show	VERB
ejpam-6723	125	5	that	that	SCONJ
ejpam-6723	125	6	the	the	DET
ejpam-6723	125	7	asymmetric	asymmetric	ADJ
ejpam-6723	125	8	van	van	PROPN
ejpam-6723	125	9	der	der	PROPN
ejpam-6723	125	10	pol	pol	PROPN
ejpam-6723	125	11	oscillator	oscillator	NOUN
ejpam-6723	125	12	generates	generate	VERB
ejpam-6723	125	13	return	return	NOUN
ejpam-6723	125	14	maps	map	NOUN
ejpam-6723	125	15	with	with	ADP
ejpam-6723	125	16	fundamentally	fundamentally	ADV
ejpam-6723	125	17	different	different	ADJ
ejpam-6723	125	18	structures	structure	NOUN
ejpam-6723	125	19	.	.	PUNCT
ejpam-6723	126	1	the	the	DET
ejpam-6723	126	2	asymmetry	asymmetry	NOUN
ejpam-6723	126	3	parameter	parameter	NOUN
ejpam-6723	126	4	β	β	PROPN
ejpam-6723	126	5	shifts	shift	NOUN
ejpam-6723	126	6	the	the	DET
ejpam-6723	126	7	positions	position	NOUN
ejpam-6723	126	8	of	of	ADP
ejpam-6723	126	9	discontinuities	discontinuity	NOUN
ejpam-6723	126	10	and	and	CCONJ
ejpam-6723	126	11	creates	create	VERB
ejpam-6723	126	12	asymmetric	asymmetric	ADJ
ejpam-6723	126	13	gap	gap	NOUN
ejpam-6723	126	14	regions	region	NOUN
ejpam-6723	126	15	in	in	ADP
ejpam-6723	126	16	the	the	DET
ejpam-6723	126	17	return	return	NOUN
ejpam-6723	126	18	map	map	NOUN
ejpam-6723	126	19	.	.	PUNCT
ejpam-6723	127	1	these	these	DET
ejpam-6723	127	2	gaps	gap	NOUN
ejpam-6723	127	3	occur	occur	VERB
ejpam-6723	127	4	when	when	SCONJ
ejpam-6723	127	5	trajectories	trajectory	NOUN
ejpam-6723	127	6	can	can	AUX
ejpam-6723	127	7	not	not	PART
ejpam-6723	127	8	escape	escape	VERB
ejpam-6723	127	9	from	from	ADP
ejpam-6723	127	10	regions	region	NOUN
ejpam-6723	127	11	between	between	ADP
ejpam-6723	127	12	folded	fold	VERB
ejpam-6723	127	13	saddle	saddle	NOUN
ejpam-6723	127	14	equilibria	equilibrium	NOUN
ejpam-6723	127	15	and	and	CCONJ
ejpam-6723	127	16	their	their	PRON
ejpam-6723	127	17	unstable	unstable	ADJ
ejpam-6723	127	18	manifolds	manifold	NOUN
ejpam-6723	127	19	,	,	PUNCT
ejpam-6723	127	20	but	but	CCONJ
ejpam-6723	127	21	their	their	PRON
ejpam-6723	127	22	positions	position	NOUN
ejpam-6723	127	23	and	and	CCONJ
ejpam-6723	127	24	sizes	size	NOUN
ejpam-6723	127	25	depend	depend	VERB
ejpam-6723	127	26	on	on	ADP
ejpam-6723	127	27	β	β	PRON
ejpam-6723	127	28	in	in	ADP
ejpam-6723	127	29	a	a	DET
ejpam-6723	127	30	non	non	ADJ
ejpam-6723	127	31	-	-	ADJ
ejpam-6723	127	32	trivial	trivial	ADJ
ejpam-6723	127	33	manner	manner	NOUN
ejpam-6723	127	34	.	.	PUNCT
ejpam-6723	128	1	5	5	NUM
ejpam-6723	128	2	.	.	X
ejpam-6723	128	3	numerical	numerical	ADJ
ejpam-6723	128	4	results	result	NOUN
ejpam-6723	128	5	and	and	CCONJ
ejpam-6723	128	6	discussion	discussion	NOUN
ejpam-6723	128	7	5.1	5.1	NUM
ejpam-6723	128	8	.	.	PUNCT
ejpam-6723	129	1	return	return	NOUN
ejpam-6723	129	2	map	map	NOUN
ejpam-6723	129	3	structure	structure	NOUN
ejpam-6723	129	4	poincaré	poincaré	ADJ
ejpam-6723	129	5	return	return	NOUN
ejpam-6723	129	6	maps	map	NOUN
ejpam-6723	129	7	constructed	construct	VERB
ejpam-6723	129	8	from	from	ADP
ejpam-6723	129	9	the	the	DET
ejpam-6723	129	10	section	section	NOUN
ejpam-6723	129	11	y	y	PROPN
ejpam-6723	129	12	=	=	SYM
ejpam-6723	129	13	2	2	NUM
ejpam-6723	129	14	exhibit	exhibit	VERB
ejpam-6723	129	15	markedly	markedly	ADV
ejpam-6723	129	16	different	different	ADJ
ejpam-6723	129	17	characteristics	characteristic	NOUN
ejpam-6723	129	18	depending	depend	VERB
ejpam-6723	129	19	on	on	ADP
ejpam-6723	129	20	the	the	DET
ejpam-6723	129	21	forcing	force	VERB
ejpam-6723	129	22	amplitude	amplitude	NOUN
ejpam-6723	129	23	a	a	DET
ejpam-6723	129	24	(	(	PUNCT
ejpam-6723	129	25	figure	figure	NOUN
ejpam-6723	129	26	5	5	NUM
ejpam-6723	129	27	)	)	PUNCT
ejpam-6723	129	28	.	.	PUNCT
ejpam-6723	130	1	for	for	ADP
ejpam-6723	130	2	a	a	DET
ejpam-6723	130	3	<	<	X
ejpam-6723	130	4	1	1	NUM
ejpam-6723	130	5	,	,	PUNCT
ejpam-6723	130	6	the	the	DET
ejpam-6723	130	7	maps	map	NOUN
ejpam-6723	130	8	are	be	AUX
ejpam-6723	130	9	invertible	invertible	ADJ
ejpam-6723	130	10	circle	circle	NOUN
ejpam-6723	130	11	maps	map	NOUN
ejpam-6723	130	12	with	with	ADP
ejpam-6723	130	13	smooth	smooth	ADJ
ejpam-6723	130	14	,	,	PUNCT
ejpam-6723	130	15	monotonic	monotonic	ADJ
ejpam-6723	130	16	structure	structure	NOUN
ejpam-6723	130	17	that	that	PRON
ejpam-6723	130	18	preserve	preserve	VERB
ejpam-6723	130	19	topological	topological	ADJ
ejpam-6723	130	20	properties	property	NOUN
ejpam-6723	130	21	under	under	ADP
ejpam-6723	130	22	iteration	iteration	NOUN
ejpam-6723	130	23	.	.	PUNCT
ejpam-6723	131	1	these	these	DET
ejpam-6723	131	2	smooth	smooth	ADJ
ejpam-6723	131	3	maps	map	NOUN
ejpam-6723	131	4	typically	typically	ADV
ejpam-6723	131	5	exhibit	exhibit	VERB
ejpam-6723	131	6	quasiperiodic	quasiperiodic	ADJ
ejpam-6723	131	7	dynamics	dynamic	NOUN
ejpam-6723	131	8	or	or	CCONJ
ejpam-6723	131	9	simple	simple	ADJ
ejpam-6723	131	10	periodic	periodic	ADJ
ejpam-6723	131	11	orbits	orbit	NOUN
ejpam-6723	131	12	.	.	PUNCT
ejpam-6723	132	1	i	i	PRON
ejpam-6723	132	2	alraddadi	alraddadi	VERB
ejpam-6723	132	3	al	al	PROPN
ejpam-6723	132	4	/	/	PUNCT
ejpam-6723	132	5	eur	eur	PROPN
ejpam-6723	132	6	.	.	PUNCT
ejpam-6723	133	1	j.	j.	PROPN
ejpam-6723	133	2	pure	pure	PROPN
ejpam-6723	133	3	appl	appl	PROPN
ejpam-6723	133	4	.	.	PROPN
ejpam-6723	133	5	math	math	PROPN
ejpam-6723	133	6	,	,	PUNCT
ejpam-6723	133	7	18	18	NUM
ejpam-6723	133	8	(	(	PUNCT
ejpam-6723	133	9	4	4	NUM
ejpam-6723	133	10	)	)	PUNCT
ejpam-6723	133	11	(	(	PUNCT
ejpam-6723	133	12	2025	2025	NUM
ejpam-6723	133	13	)	)	PUNCT
ejpam-6723	133	14	,	,	PUNCT
ejpam-6723	133	15	6723	6723	NUM
ejpam-6723	133	16	10	10	NUM
ejpam-6723	133	17	of	of	ADP
ejpam-6723	133	18	20	20	NUM
ejpam-6723	133	19	when	when	SCONJ
ejpam-6723	133	20	a	a	DET
ejpam-6723	133	21	>	>	X
ejpam-6723	133	22	1	1	NUM
ejpam-6723	133	23	,	,	PUNCT
ejpam-6723	133	24	the	the	DET
ejpam-6723	133	25	return	return	NOUN
ejpam-6723	133	26	maps	map	NOUN
ejpam-6723	133	27	develop	develop	VERB
ejpam-6723	133	28	discontinuities	discontinuity	NOUN
ejpam-6723	133	29	and	and	CCONJ
ejpam-6723	133	30	gap	gap	NOUN
ejpam-6723	133	31	regions	region	NOUN
ejpam-6723	133	32	where	where	SCONJ
ejpam-6723	133	33	trajectories	trajectory	NOUN
ejpam-6723	133	34	can	can	AUX
ejpam-6723	133	35	not	not	PART
ejpam-6723	133	36	return	return	VERB
ejpam-6723	133	37	to	to	ADP
ejpam-6723	133	38	the	the	DET
ejpam-6723	133	39	poincaré	poincaré	ADJ
ejpam-6723	133	40	section	section	NOUN
ejpam-6723	133	41	(	(	PUNCT
ejpam-6723	133	42	figure	figure	NOUN
ejpam-6723	133	43	6	6	NUM
ejpam-6723	133	44	)	)	PUNCT
ejpam-6723	133	45	.	.	PUNCT
ejpam-6723	134	1	these	these	DET
ejpam-6723	134	2	gaps	gap	NOUN
ejpam-6723	134	3	arise	arise	VERB
ejpam-6723	134	4	from	from	ADP
ejpam-6723	134	5	folded	fold	VERB
ejpam-6723	134	6	saddle	saddle	NOUN
ejpam-6723	134	7	equilibria	equilibrium	NOUN
ejpam-6723	134	8	that	that	PRON
ejpam-6723	134	9	trap	trap	VERB
ejpam-6723	134	10	trajectories	trajectory	NOUN
ejpam-6723	134	11	in	in	ADP
ejpam-6723	134	12	certain	certain	ADJ
ejpam-6723	134	13	phase	phase	NOUN
ejpam-6723	134	14	space	space	NOUN
ejpam-6723	134	15	regions	region	NOUN
ejpam-6723	134	16	,	,	PUNCT
ejpam-6723	134	17	preventing	prevent	VERB
ejpam-6723	134	18	their	their	PRON
ejpam-6723	134	19	escape	escape	NOUN
ejpam-6723	134	20	to	to	PART
ejpam-6723	134	21	complete	complete	VERB
ejpam-6723	134	22	full	full	ADJ
ejpam-6723	134	23	orbits	orbit	NOUN
ejpam-6723	134	24	.	.	PUNCT
ejpam-6723	135	1	the	the	DET
ejpam-6723	135	2	resulting	result	VERB
ejpam-6723	135	3	non	non	ADJ
ejpam-6723	135	4	-	-	ADJ
ejpam-6723	135	5	invertible	invertible	ADJ
ejpam-6723	135	6	maps	map	NOUN
ejpam-6723	135	7	can	can	AUX
ejpam-6723	135	8	exhibit	exhibit	VERB
ejpam-6723	135	9	complex	complex	ADJ
ejpam-6723	135	10	bifurcation	bifurcation	NOUN
ejpam-6723	135	11	cascades	cascade	NOUN
ejpam-6723	135	12	and	and	CCONJ
ejpam-6723	135	13	chaotic	chaotic	ADJ
ejpam-6723	135	14	dynamics	dynamic	NOUN
ejpam-6723	135	15	.	.	PUNCT
ejpam-6723	136	1	(	(	PUNCT
ejpam-6723	136	2	a	a	X
ejpam-6723	136	3	)	)	PUNCT
ejpam-6723	136	4	symmetric	symmetric	ADJ
ejpam-6723	136	5	case	case	NOUN
ejpam-6723	136	6	(	(	PUNCT
ejpam-6723	136	7	b	b	NOUN
ejpam-6723	136	8	)	)	PUNCT
ejpam-6723	136	9	asymmetric	asymmetric	ADJ
ejpam-6723	136	10	case	case	NOUN
ejpam-6723	136	11	figure	figure	NOUN
ejpam-6723	136	12	5	5	NUM
ejpam-6723	136	13	:	:	PUNCT
ejpam-6723	136	14	first	first	ADJ
ejpam-6723	136	15	return	return	NOUN
ejpam-6723	136	16	map	map	NOUN
ejpam-6723	136	17	of	of	ADP
ejpam-6723	136	18	the	the	DET
ejpam-6723	136	19	desingularized	desingularize	VERB
ejpam-6723	136	20	reduced	reduce	VERB
ejpam-6723	136	21	system	system	NOUN
ejpam-6723	136	22	(	(	PUNCT
ejpam-6723	136	23	19	19	NUM
ejpam-6723	136	24	-	-	SYM
ejpam-6723	136	25	20	20	NUM
ejpam-6723	136	26	)	)	PUNCT
ejpam-6723	136	27	for	for	ADP
ejpam-6723	136	28	the	the	DET
ejpam-6723	136	29	first	first	ADJ
ejpam-6723	136	30	parameter	parameter	NOUN
ejpam-6723	136	31	set	set	NOUN
ejpam-6723	136	32	.	.	PUNCT
ejpam-6723	137	1	the	the	DET
ejpam-6723	137	2	red	red	ADJ
ejpam-6723	137	3	curve	curve	NOUN
ejpam-6723	137	4	represents	represent	VERB
ejpam-6723	137	5	the	the	DET
ejpam-6723	137	6	return	return	NOUN
ejpam-6723	137	7	map	map	NOUN
ejpam-6723	137	8	f	f	X
ejpam-6723	137	9	(	(	PUNCT
ejpam-6723	137	10	θ	θ	NOUN
ejpam-6723	137	11	)	)	PUNCT
ejpam-6723	137	12	and	and	CCONJ
ejpam-6723	137	13	the	the	DET
ejpam-6723	137	14	black	black	ADJ
ejpam-6723	137	15	diagonal	diagonal	ADJ
ejpam-6723	137	16	line	line	NOUN
ejpam-6723	137	17	shows	show	VERB
ejpam-6723	137	18	θ	θ	PROPN
ejpam-6723	137	19	.	.	PUNCT
ejpam-6723	138	1	(	(	PUNCT
ejpam-6723	138	2	a	a	X
ejpam-6723	138	3	)	)	PUNCT
ejpam-6723	138	4	first	first	ADJ
ejpam-6723	138	5	return	return	NOUN
ejpam-6723	138	6	map	map	NOUN
ejpam-6723	138	7	showing	show	VERB
ejpam-6723	138	8	symmetric	symmetric	ADJ
ejpam-6723	138	9	and	and	CCONJ
ejpam-6723	138	10	discontinuity	discontinuity	NOUN
ejpam-6723	138	11	when	when	SCONJ
ejpam-6723	138	12	β	β	X
ejpam-6723	138	13	=	=	NOUN
ejpam-6723	138	14	0	0	NUM
ejpam-6723	138	15	.	.	PUNCT
ejpam-6723	139	1	(	(	PUNCT
ejpam-6723	139	2	b)the	b)the	DET
ejpam-6723	139	3	intersection	intersection	NOUN
ejpam-6723	139	4	points	point	NOUN
ejpam-6723	139	5	indicate	indicate	VERB
ejpam-6723	139	6	fixed	fix	VERB
ejpam-6723	139	7	points	point	NOUN
ejpam-6723	139	8	of	of	ADP
ejpam-6723	139	9	the	the	DET
ejpam-6723	139	10	return	return	NOUN
ejpam-6723	139	11	map	map	NOUN
ejpam-6723	139	12	,	,	PUNCT
ejpam-6723	139	13	demonstrating	demonstrate	VERB
ejpam-6723	139	14	asymmetric	asymmetric	ADJ
ejpam-6723	139	15	case	case	NOUN
ejpam-6723	139	16	and	and	CCONJ
ejpam-6723	139	17	continuity	continuity	NOUN
ejpam-6723	139	18	appear	appear	VERB
ejpam-6723	139	19	here	here	ADV
ejpam-6723	139	20	.	.	PUNCT
ejpam-6723	140	1	i	i	PRON
ejpam-6723	140	2	alraddadi	alraddadi	VERB
ejpam-6723	140	3	al	al	PROPN
ejpam-6723	140	4	/	/	PUNCT
ejpam-6723	140	5	eur	eur	PROPN
ejpam-6723	140	6	.	.	PUNCT
ejpam-6723	141	1	j.	j.	PROPN
ejpam-6723	141	2	pure	pure	PROPN
ejpam-6723	141	3	appl	appl	PROPN
ejpam-6723	141	4	.	.	PROPN
ejpam-6723	141	5	math	math	PROPN
ejpam-6723	141	6	,	,	PUNCT
ejpam-6723	141	7	18	18	NUM
ejpam-6723	141	8	(	(	PUNCT
ejpam-6723	141	9	4	4	NUM
ejpam-6723	141	10	)	)	PUNCT
ejpam-6723	141	11	(	(	PUNCT
ejpam-6723	141	12	2025	2025	NUM
ejpam-6723	141	13	)	)	PUNCT
ejpam-6723	141	14	,	,	PUNCT
ejpam-6723	141	15	6723	6723	NUM
ejpam-6723	141	16	11	11	NUM
ejpam-6723	141	17	of	of	ADP
ejpam-6723	141	18	20	20	NUM
ejpam-6723	141	19	(	(	PUNCT
ejpam-6723	141	20	a	a	NOUN
ejpam-6723	141	21	)	)	PUNCT
ejpam-6723	141	22	(	(	PUNCT
ejpam-6723	141	23	b	b	X
ejpam-6723	141	24	)	)	PUNCT
ejpam-6723	141	25	(	(	PUNCT
ejpam-6723	141	26	c	c	X
ejpam-6723	141	27	)	)	PUNCT
ejpam-6723	141	28	figure	figure	NOUN
ejpam-6723	141	29	6	6	NUM
ejpam-6723	141	30	:	:	PUNCT
ejpam-6723	141	31	(	(	PUNCT
ejpam-6723	141	32	a)first	a)first	NOUN
ejpam-6723	141	33	return	return	NOUN
ejpam-6723	141	34	map	map	NOUN
ejpam-6723	141	35	showing	show	VERB
ejpam-6723	141	36	saddle	saddle	NOUN
ejpam-6723	141	37	-	-	PUNCT
ejpam-6723	141	38	node	node	NOUN
ejpam-6723	141	39	bifurcation	bifurcation	NOUN
ejpam-6723	141	40	behavior	behavior	NOUN
ejpam-6723	141	41	for	for	ADP
ejpam-6723	141	42	the	the	DET
ejpam-6723	141	43	first	first	ADJ
ejpam-6723	141	44	parameter	parameter	NOUN
ejpam-6723	141	45	set	set	NOUN
ejpam-6723	141	46	.	.	PUNCT
ejpam-6723	142	1	the	the	DET
ejpam-6723	142	2	red	red	ADJ
ejpam-6723	142	3	curve	curve	NOUN
ejpam-6723	142	4	represents	represent	VERB
ejpam-6723	142	5	the	the	DET
ejpam-6723	142	6	return	return	NOUN
ejpam-6723	142	7	map	map	NOUN
ejpam-6723	142	8	f	f	X
ejpam-6723	142	9	(	(	PUNCT
ejpam-6723	142	10	θ	θ	NOUN
ejpam-6723	142	11	)	)	PUNCT
ejpam-6723	142	12	and	and	CCONJ
ejpam-6723	142	13	the	the	DET
ejpam-6723	142	14	black	black	ADJ
ejpam-6723	142	15	diagonal	diagonal	ADJ
ejpam-6723	142	16	line	line	NOUN
ejpam-6723	142	17	shows	show	VERB
ejpam-6723	142	18	θ	θ	PROPN
ejpam-6723	142	19	.	.	PUNCT
ejpam-6723	143	1	the	the	DET
ejpam-6723	143	2	intersection	intersection	NOUN
ejpam-6723	143	3	points	point	NOUN
ejpam-6723	143	4	indicate	indicate	VERB
ejpam-6723	143	5	fixed	fix	VERB
ejpam-6723	143	6	points	point	NOUN
ejpam-6723	143	7	of	of	ADP
ejpam-6723	143	8	the	the	DET
ejpam-6723	143	9	return	return	NOUN
ejpam-6723	143	10	map	map	NOUN
ejpam-6723	143	11	,	,	PUNCT
ejpam-6723	143	12	demonstrating	demonstrate	VERB
ejpam-6723	143	13	the	the	DET
ejpam-6723	143	14	pre	pre	ADJ
ejpam-6723	143	15	-	-	ADJ
ejpam-6723	143	16	bifurcation	bifurcation	ADJ
ejpam-6723	143	17	state	state	NOUN
ejpam-6723	143	18	with	with	ADP
ejpam-6723	143	19	stable	stable	ADJ
ejpam-6723	143	20	periodic	periodic	ADJ
ejpam-6723	143	21	solutions	solution	NOUN
ejpam-6723	143	22	.	.	PUNCT
ejpam-6723	144	1	(	(	PUNCT
ejpam-6723	144	2	b	b	X
ejpam-6723	144	3	)	)	PUNCT
ejpam-6723	144	4	first	first	ADJ
ejpam-6723	144	5	return	return	NOUN
ejpam-6723	144	6	map	map	NOUN
ejpam-6723	144	7	at	at	ADP
ejpam-6723	144	8	the	the	DET
ejpam-6723	144	9	saddlenode	saddlenode	NOUN
ejpam-6723	144	10	bifurcation	bifurcation	NOUN
ejpam-6723	144	11	point	point	NOUN
ejpam-6723	144	12	.	.	PUNCT
ejpam-6723	145	1	the	the	DET
ejpam-6723	145	2	return	return	NOUN
ejpam-6723	145	3	map	map	NOUN
ejpam-6723	145	4	curve	curve	NOUN
ejpam-6723	145	5	f	f	PROPN
ejpam-6723	145	6	(	(	PUNCT
ejpam-6723	145	7	θ	θ	NOUN
ejpam-6723	145	8	)	)	PUNCT
ejpam-6723	145	9	becomes	become	VERB
ejpam-6723	145	10	tangent	tangent	NOUN
ejpam-6723	145	11	to	to	ADP
ejpam-6723	145	12	the	the	DET
ejpam-6723	145	13	diagonal	diagonal	ADJ
ejpam-6723	145	14	line	line	NOUN
ejpam-6723	145	15	,	,	PUNCT
ejpam-6723	145	16	indicating	indicate	VERB
ejpam-6723	145	17	the	the	DET
ejpam-6723	145	18	critical	critical	ADJ
ejpam-6723	145	19	parameter	parameter	NOUN
ejpam-6723	145	20	value	value	NOUN
ejpam-6723	145	21	where	where	SCONJ
ejpam-6723	145	22	the	the	DET
ejpam-6723	145	23	saddle	saddle	NOUN
ejpam-6723	145	24	-	-	PUNCT
ejpam-6723	145	25	node	node	NOUN
ejpam-6723	145	26	bifurcation	bifurcation	NOUN
ejpam-6723	145	27	occurs	occur	VERB
ejpam-6723	145	28	and	and	CCONJ
ejpam-6723	145	29	periodic	periodic	ADJ
ejpam-6723	145	30	solutions	solution	NOUN
ejpam-6723	145	31	are	be	AUX
ejpam-6723	145	32	created	create	VERB
ejpam-6723	145	33	or	or	CCONJ
ejpam-6723	145	34	destroyed	destroy	VERB
ejpam-6723	145	35	.	.	PUNCT
ejpam-6723	146	1	(	(	PUNCT
ejpam-6723	146	2	c	c	X
ejpam-6723	146	3	)	)	PUNCT
ejpam-6723	146	4	first	first	ADJ
ejpam-6723	146	5	return	return	NOUN
ejpam-6723	146	6	map	map	NOUN
ejpam-6723	146	7	in	in	ADP
ejpam-6723	146	8	the	the	DET
ejpam-6723	146	9	post	post	ADJ
ejpam-6723	146	10	-	-	ADJ
ejpam-6723	146	11	bifurcation	bifurcation	ADJ
ejpam-6723	146	12	regime	regime	NOUN
ejpam-6723	146	13	showing	show	VERB
ejpam-6723	146	14	the	the	DET
ejpam-6723	146	15	disappearance	disappearance	NOUN
ejpam-6723	146	16	of	of	ADP
ejpam-6723	146	17	fixed	fix	VERB
ejpam-6723	146	18	points	point	NOUN
ejpam-6723	146	19	.	.	PUNCT
ejpam-6723	147	1	the	the	DET
ejpam-6723	147	2	return	return	NOUN
ejpam-6723	147	3	map	map	NOUN
ejpam-6723	147	4	curve	curve	NOUN
ejpam-6723	147	5	no	no	ADV
ejpam-6723	147	6	longer	long	ADV
ejpam-6723	147	7	intersects	intersect	VERB
ejpam-6723	147	8	the	the	DET
ejpam-6723	147	9	diagonal	diagonal	ADJ
ejpam-6723	147	10	line	line	NOUN
ejpam-6723	147	11	at	at	ADP
ejpam-6723	147	12	the	the	DET
ejpam-6723	147	13	previous	previous	ADJ
ejpam-6723	147	14	locations	location	NOUN
ejpam-6723	147	15	,	,	PUNCT
ejpam-6723	147	16	demonstrating	demonstrate	VERB
ejpam-6723	147	17	the	the	DET
ejpam-6723	147	18	completion	completion	NOUN
ejpam-6723	147	19	of	of	ADP
ejpam-6723	147	20	the	the	DET
ejpam-6723	147	21	saddle	saddle	NOUN
ejpam-6723	147	22	-	-	PUNCT
ejpam-6723	147	23	node	node	NOUN
ejpam-6723	147	24	bifurcation	bifurcation	NOUN
ejpam-6723	147	25	process	process	NOUN
ejpam-6723	147	26	.	.	PUNCT
ejpam-6723	148	1	5.2	5.2	NUM
ejpam-6723	148	2	.	.	PUNCT
ejpam-6723	149	1	bifurcation	bifurcation	NOUN
ejpam-6723	149	2	analysis	analysis	NOUN
ejpam-6723	149	3	the	the	DET
ejpam-6723	149	4	saddle	saddle	NOUN
ejpam-6723	149	5	-	-	PUNCT
ejpam-6723	149	6	node	node	NOUN
ejpam-6723	149	7	bifurcations	bifurcation	NOUN
ejpam-6723	149	8	that	that	PRON
ejpam-6723	149	9	define	define	VERB
ejpam-6723	149	10	arnold	arnold	PROPN
ejpam-6723	149	11	tongue	tongue	PROPN
ejpam-6723	149	12	boundaries	boundary	NOUN
ejpam-6723	149	13	occur	occur	VERB
ejpam-6723	149	14	at	at	ADP
ejpam-6723	149	15	different	different	ADJ
ejpam-6723	149	16	parameter	parameter	NOUN
ejpam-6723	149	17	values	value	NOUN
ejpam-6723	149	18	.	.	PUNCT
ejpam-6723	150	1	for	for	ADP
ejpam-6723	150	2	the	the	DET
ejpam-6723	150	3	symmetric	symmetric	ADJ
ejpam-6723	150	4	case	case	NOUN
ejpam-6723	150	5	,	,	PUNCT
ejpam-6723	150	6	bifurcations	bifurcation	NOUN
ejpam-6723	150	7	occur	occur	VERB
ejpam-6723	150	8	when	when	SCONJ
ejpam-6723	150	9	the	the	DET
ejpam-6723	150	10	return	return	NOUN
ejpam-6723	150	11	map	map	NOUN
ejpam-6723	150	12	becomes	become	VERB
ejpam-6723	150	13	tangent	tangent	NOUN
ejpam-6723	150	14	to	to	ADP
ejpam-6723	150	15	the	the	DET
ejpam-6723	150	16	diagonal	diagonal	ADJ
ejpam-6723	150	17	line	line	NOUN
ejpam-6723	150	18	θn+1	θn+1	X
ejpam-6723	150	19	=	=	SYM
ejpam-6723	150	20	θn	θn	NOUN
ejpam-6723	150	21	at	at	ADP
ejpam-6723	150	22	symmetric	symmetric	ADJ
ejpam-6723	150	23	positions	position	NOUN
ejpam-6723	150	24	.	.	PUNCT
ejpam-6723	151	1	in	in	ADP
ejpam-6723	151	2	the	the	DET
ejpam-6723	151	3	asymmetric	asymmetric	NOUN
ejpam-6723	151	4	i	i	PRON
ejpam-6723	151	5	alraddadi	alraddadi	VERB
ejpam-6723	151	6	al	al	PROPN
ejpam-6723	151	7	/	/	PUNCT
ejpam-6723	151	8	eur	eur	PROPN
ejpam-6723	151	9	.	.	PUNCT
ejpam-6723	152	1	j.	j.	PROPN
ejpam-6723	152	2	pure	pure	PROPN
ejpam-6723	152	3	appl	appl	PROPN
ejpam-6723	152	4	.	.	PROPN
ejpam-6723	152	5	math	math	PROPN
ejpam-6723	152	6	,	,	PUNCT
ejpam-6723	152	7	18	18	NUM
ejpam-6723	152	8	(	(	PUNCT
ejpam-6723	152	9	4	4	NUM
ejpam-6723	152	10	)	)	PUNCT
ejpam-6723	152	11	(	(	PUNCT
ejpam-6723	152	12	2025	2025	NUM
ejpam-6723	152	13	)	)	PUNCT
ejpam-6723	152	14	,	,	PUNCT
ejpam-6723	152	15	6723	6723	NUM
ejpam-6723	152	16	12	12	NUM
ejpam-6723	152	17	of	of	ADP
ejpam-6723	152	18	20	20	NUM
ejpam-6723	152	19	case	case	NOUN
ejpam-6723	152	20	,	,	PUNCT
ejpam-6723	152	21	these	these	DET
ejpam-6723	152	22	tangency	tangency	NOUN
ejpam-6723	152	23	conditions	condition	NOUN
ejpam-6723	152	24	shift	shift	VERB
ejpam-6723	152	25	according	accord	VERB
ejpam-6723	152	26	to	to	ADP
ejpam-6723	152	27	the	the	DET
ejpam-6723	152	28	folded	fold	VERB
ejpam-6723	152	29	singularity	singularity	NOUN
ejpam-6723	152	30	positions	position	NOUN
ejpam-6723	152	31	,	,	PUNCT
ejpam-6723	152	32	creating	create	VERB
ejpam-6723	152	33	asymmetric	asymmetric	ADJ
ejpam-6723	152	34	bifurcation	bifurcation	NOUN
ejpam-6723	152	35	curves	curve	NOUN
ejpam-6723	152	36	in	in	ADP
ejpam-6723	152	37	parameter	parameter	NOUN
ejpam-6723	152	38	space	space	NOUN
ejpam-6723	152	39	.	.	PUNCT
ejpam-6723	153	1	saddle	saddle	NOUN
ejpam-6723	153	2	-	-	PUNCT
ejpam-6723	153	3	node	node	NOUN
ejpam-6723	153	4	bifurcations	bifurcation	NOUN
ejpam-6723	153	5	marking	mark	VERB
ejpam-6723	153	6	arnold	arnold	PROPN
ejpam-6723	153	7	tongue	tongue	PROPN
ejpam-6723	153	8	boundaries	boundary	NOUN
ejpam-6723	153	9	satisfy	satisfy	VERB
ejpam-6723	153	10	the	the	DET
ejpam-6723	153	11	analytical	analytical	ADJ
ejpam-6723	153	12	condition	condition	NOUN
ejpam-6723	153	13	given	give	VERB
ejpam-6723	153	14	by	by	ADP
ejpam-6723	153	15	equations	equation	NOUN
ejpam-6723	153	16	(	(	PUNCT
ejpam-6723	153	17	19)-(20	19)-(20	NUM
ejpam-6723	153	18	)	)	PUNCT
ejpam-6723	153	19	,	,	PUNCT
ejpam-6723	153	20	where	where	SCONJ
ejpam-6723	153	21	the	the	DET
ejpam-6723	153	22	parameter	parameter	NOUN
ejpam-6723	153	23	β	β	PROPN
ejpam-6723	153	24	depends	depend	VERB
ejpam-6723	153	25	on	on	ADP
ejpam-6723	153	26	which	which	PRON
ejpam-6723	153	27	fold	fold	ADJ
ejpam-6723	153	28	line	line	NOUN
ejpam-6723	153	29	contains	contain	VERB
ejpam-6723	153	30	the	the	DET
ejpam-6723	153	31	bifurcating	bifurcate	VERB
ejpam-6723	153	32	periodic	periodic	ADJ
ejpam-6723	153	33	orbit	orbit	NOUN
ejpam-6723	153	34	.	.	PUNCT
ejpam-6723	154	1	the	the	DET
ejpam-6723	154	2	asymmetric	asymmetric	ADJ
ejpam-6723	154	3	parameter	parameter	NOUN
ejpam-6723	154	4	β	β	NOUN
ejpam-6723	154	5	shifts	shift	NOUN
ejpam-6723	154	6	these	these	DET
ejpam-6723	154	7	bifurcation	bifurcation	NOUN
ejpam-6723	154	8	boundaries	boundary	NOUN
ejpam-6723	154	9	according	accord	VERB
ejpam-6723	154	10	to	to	ADP
ejpam-6723	154	11	the	the	DET
ejpam-6723	154	12	folded	fold	VERB
ejpam-6723	154	13	singularity	singularity	NOUN
ejpam-6723	154	14	conditions	condition	NOUN
ejpam-6723	154	15	in	in	ADP
ejpam-6723	154	16	equations	equation	NOUN
ejpam-6723	154	17	(	(	PUNCT
ejpam-6723	154	18	19	19	NUM
ejpam-6723	154	19	)	)	PUNCT
ejpam-6723	154	20	and	and	CCONJ
ejpam-6723	154	21	(	(	PUNCT
ejpam-6723	154	22	20	20	NUM
ejpam-6723	154	23	)	)	PUNCT
ejpam-6723	154	24	.	.	PUNCT
ejpam-6723	155	1	this	this	DET
ejpam-6723	155	2	systematic	systematic	ADJ
ejpam-6723	155	3	displacement	displacement	NOUN
ejpam-6723	155	4	of	of	ADP
ejpam-6723	155	5	arnold	arnold	PROPN
ejpam-6723	155	6	tongues	tongue	NOUN
ejpam-6723	155	7	provides	provide	VERB
ejpam-6723	155	8	the	the	DET
ejpam-6723	155	9	mechanism	mechanism	NOUN
ejpam-6723	155	10	for	for	ADP
ejpam-6723	155	11	frequency	frequency	NOUN
ejpam-6723	155	12	transitions	transition	NOUN
ejpam-6723	155	13	observed	observe	VERB
ejpam-6723	155	14	during	during	ADP
ejpam-6723	155	15	the	the	DET
ejpam-6723	155	16	mid	mid	ADJ
ejpam-6723	155	17	-	-	ADJ
ejpam-6723	155	18	pleistocene	pleistocene	ADJ
ejpam-6723	155	19	climate	climate	NOUN
ejpam-6723	155	20	transition	transition	NOUN
ejpam-6723	155	21	,	,	PUNCT
ejpam-6723	155	22	where	where	SCONJ
ejpam-6723	155	23	gradually	gradually	ADV
ejpam-6723	155	24	changing	change	VERB
ejpam-6723	155	25	system	system	NOUN
ejpam-6723	155	26	parameters	parameter	NOUN
ejpam-6723	155	27	can	can	AUX
ejpam-6723	155	28	move	move	VERB
ejpam-6723	155	29	the	the	DET
ejpam-6723	155	30	climate	climate	NOUN
ejpam-6723	155	31	system	system	NOUN
ejpam-6723	155	32	between	between	ADP
ejpam-6723	155	33	different	different	ADJ
ejpam-6723	155	34	synchronization	synchronization	NOUN
ejpam-6723	155	35	regimes	regime	NOUN
ejpam-6723	155	36	[	[	X
ejpam-6723	155	37	16	16	NUM
ejpam-6723	155	38	]	]	PUNCT
ejpam-6723	155	39	.	.	PUNCT
ejpam-6723	156	1	figures	figure	NOUN
ejpam-6723	156	2	6(a	6(a	NUM
ejpam-6723	156	3	)	)	PUNCT
ejpam-6723	156	4	through	through	ADP
ejpam-6723	156	5	6(c	6(c	NUM
ejpam-6723	156	6	)	)	PUNCT
ejpam-6723	156	7	illustrate	illustrate	VERB
ejpam-6723	156	8	the	the	DET
ejpam-6723	156	9	saddle	saddle	NOUN
ejpam-6723	156	10	-	-	PUNCT
ejpam-6723	156	11	node	node	NOUN
ejpam-6723	156	12	bifurcation	bifurcation	NOUN
ejpam-6723	156	13	of	of	ADP
ejpam-6723	156	14	the	the	DET
ejpam-6723	156	15	return	return	NOUN
ejpam-6723	156	16	map	map	NOUN
ejpam-6723	156	17	as	as	SCONJ
ejpam-6723	156	18	system	system	NOUN
ejpam-6723	156	19	parameters	parameter	NOUN
ejpam-6723	156	20	are	be	AUX
ejpam-6723	156	21	varied	varied	ADJ
ejpam-6723	156	22	.	.	PUNCT
ejpam-6723	157	1	these	these	DET
ejpam-6723	157	2	figures	figure	NOUN
ejpam-6723	157	3	show	show	VERB
ejpam-6723	157	4	the	the	DET
ejpam-6723	157	5	classical	classical	ADJ
ejpam-6723	157	6	saddle	saddle	NOUN
ejpam-6723	157	7	-	-	PUNCT
ejpam-6723	157	8	node	node	NOUN
ejpam-6723	157	9	bifurcation	bifurcation	NOUN
ejpam-6723	157	10	sequence	sequence	NOUN
ejpam-6723	157	11	where	where	SCONJ
ejpam-6723	157	12	a	a	DET
ejpam-6723	157	13	pair	pair	NOUN
ejpam-6723	157	14	of	of	ADP
ejpam-6723	157	15	fixed	fix	VERB
ejpam-6723	157	16	points	point	NOUN
ejpam-6723	157	17	(	(	PUNCT
ejpam-6723	157	18	one	one	NUM
ejpam-6723	157	19	stable	stable	ADJ
ejpam-6723	157	20	,	,	PUNCT
ejpam-6723	157	21	one	one	NUM
ejpam-6723	157	22	unstable	unstable	ADJ
ejpam-6723	157	23	)	)	PUNCT
ejpam-6723	157	24	are	be	AUX
ejpam-6723	157	25	created	create	VERB
ejpam-6723	157	26	and	and	CCONJ
ejpam-6723	157	27	subsequently	subsequently	ADV
ejpam-6723	157	28	annihilated	annihilate	VERB
ejpam-6723	157	29	as	as	SCONJ
ejpam-6723	157	30	the	the	DET
ejpam-6723	157	31	parameter	parameter	NOUN
ejpam-6723	157	32	crosses	cross	VERB
ejpam-6723	157	33	the	the	DET
ejpam-6723	157	34	bifurcation	bifurcation	NOUN
ejpam-6723	157	35	threshold	threshold	NOUN
ejpam-6723	157	36	.	.	PUNCT
ejpam-6723	158	1	the	the	DET
ejpam-6723	158	2	saddle	saddle	NOUN
ejpam-6723	158	3	-	-	PUNCT
ejpam-6723	158	4	node	node	NOUN
ejpam-6723	158	5	bifurcation	bifurcation	NOUN
ejpam-6723	158	6	of	of	ADP
ejpam-6723	158	7	the	the	DET
ejpam-6723	158	8	return	return	NOUN
ejpam-6723	158	9	map	map	NOUN
ejpam-6723	158	10	corresponds	correspond	VERB
ejpam-6723	158	11	to	to	ADP
ejpam-6723	158	12	the	the	DET
ejpam-6723	158	13	boundaries	boundary	NOUN
ejpam-6723	158	14	of	of	ADP
ejpam-6723	158	15	arnold	arnold	PROPN
ejpam-6723	158	16	tongues	tongue	NOUN
ejpam-6723	158	17	in	in	ADP
ejpam-6723	158	18	parameter	parameter	NOUN
ejpam-6723	158	19	space	space	NOUN
ejpam-6723	158	20	,	,	PUNCT
ejpam-6723	158	21	marking	mark	VERB
ejpam-6723	158	22	the	the	DET
ejpam-6723	158	23	transition	transition	NOUN
ejpam-6723	158	24	between	between	ADP
ejpam-6723	158	25	frequency	frequency	NOUN
ejpam-6723	158	26	-	-	PUNCT
ejpam-6723	158	27	locked	lock	VERB
ejpam-6723	158	28	and	and	CCONJ
ejpam-6723	158	29	non	non	ADJ
ejpam-6723	158	30	-	-	ADJ
ejpam-6723	158	31	frequency	frequency	ADJ
ejpam-6723	158	32	-	-	PUNCT
ejpam-6723	158	33	locked	lock	VERB
ejpam-6723	158	34	behavior	behavior	NOUN
ejpam-6723	158	35	in	in	ADP
ejpam-6723	158	36	the	the	DET
ejpam-6723	158	37	original	original	ADJ
ejpam-6723	158	38	dynamical	dynamical	ADJ
ejpam-6723	158	39	system	system	NOUN
ejpam-6723	158	40	.	.	PUNCT
ejpam-6723	159	1	5.3	5.3	NUM
ejpam-6723	159	2	.	.	PUNCT
ejpam-6723	160	1	arnold	arnold	PROPN
ejpam-6723	160	2	tongues	tongues	PROPN
ejpam-6723	160	3	and	and	CCONJ
ejpam-6723	160	4	frequency	frequency	NOUN
ejpam-6723	160	5	locking	locking	NOUN
ejpam-6723	160	6	properties	property	NOUN
ejpam-6723	160	7	the	the	DET
ejpam-6723	160	8	most	most	ADV
ejpam-6723	160	9	significant	significant	ADJ
ejpam-6723	160	10	difference	difference	NOUN
ejpam-6723	160	11	between	between	ADP
ejpam-6723	160	12	symmetric	symmetric	ADJ
ejpam-6723	160	13	and	and	CCONJ
ejpam-6723	160	14	asymmetric	asymmetric	ADJ
ejpam-6723	160	15	systems	system	NOUN
ejpam-6723	160	16	lies	lie	VERB
ejpam-6723	160	17	in	in	ADP
ejpam-6723	160	18	their	their	PRON
ejpam-6723	160	19	arnold	arnold	PROPN
ejpam-6723	160	20	tongue	tongue	NOUN
ejpam-6723	160	21	structures	structure	NOUN
ejpam-6723	160	22	and	and	CCONJ
ejpam-6723	160	23	frequency	frequency	NOUN
ejpam-6723	160	24	locking	locking	NOUN
ejpam-6723	160	25	properties	property	NOUN
ejpam-6723	160	26	.	.	PUNCT
ejpam-6723	161	1	in	in	ADP
ejpam-6723	161	2	the	the	DET
ejpam-6723	161	3	symmetric	symmetric	ADJ
ejpam-6723	161	4	van	van	PROPN
ejpam-6723	161	5	der	der	PROPN
ejpam-6723	161	6	pol	pol	PROPN
ejpam-6723	161	7	oscillator	oscillator	NOUN
ejpam-6723	161	8	,	,	PUNCT
ejpam-6723	161	9	arnold	arnold	PROPN
ejpam-6723	161	10	tongues	tongue	NOUN
ejpam-6723	161	11	exhibit	exhibit	VERB
ejpam-6723	161	12	classical	classical	ADJ
ejpam-6723	161	13	symmetric	symmetric	ADJ
ejpam-6723	161	14	structure	structure	NOUN
ejpam-6723	161	15	with	with	ADP
ejpam-6723	161	16	well	well	ADV
ejpam-6723	161	17	-	-	PUNCT
ejpam-6723	161	18	defined	define	VERB
ejpam-6723	161	19	boundaries	boundary	NOUN
ejpam-6723	161	20	determined	determine	VERB
ejpam-6723	161	21	by	by	ADP
ejpam-6723	161	22	saddle	saddle	NOUN
ejpam-6723	161	23	-	-	PUNCT
ejpam-6723	161	24	node	node	NOUN
ejpam-6723	161	25	bifurcations	bifurcation	NOUN
ejpam-6723	161	26	.	.	PUNCT
ejpam-6723	162	1	the	the	DET
ejpam-6723	162	2	tongue	tongue	NOUN
ejpam-6723	162	3	widths	width	NOUN
ejpam-6723	162	4	scale	scale	NOUN
ejpam-6723	162	5	with	with	ADP
ejpam-6723	162	6	forcing	force	VERB
ejpam-6723	162	7	amplitude	amplitude	NOUN
ejpam-6723	162	8	,	,	PUNCT
ejpam-6723	162	9	and	and	CCONJ
ejpam-6723	162	10	the	the	DET
ejpam-6723	162	11	system	system	NOUN
ejpam-6723	162	12	exhibits	exhibit	VERB
ejpam-6723	162	13	clear	clear	ADJ
ejpam-6723	162	14	1:1	1:1	NUM
ejpam-6723	162	15	,	,	PUNCT
ejpam-6723	162	16	2:1	2:1	NUM
ejpam-6723	162	17	,	,	PUNCT
ejpam-6723	162	18	and	and	CCONJ
ejpam-6723	162	19	3:1	3:1	NUM
ejpam-6723	162	20	frequency	frequency	NOUN
ejpam-6723	162	21	locking	locking	NOUN
ejpam-6723	162	22	regions	region	NOUN
ejpam-6723	162	23	that	that	PRON
ejpam-6723	162	24	explain	explain	VERB
ejpam-6723	162	25	the	the	DET
ejpam-6723	162	26	transition	transition	NOUN
ejpam-6723	162	27	from	from	ADP
ejpam-6723	162	28	41kyr	41kyr	NOUN
ejpam-6723	162	29	to	to	ADP
ejpam-6723	162	30	100kyr	100kyr	NUM
ejpam-6723	162	31	glacial	glacial	ADJ
ejpam-6723	162	32	cycles	cycle	NOUN
ejpam-6723	162	33	.	.	PUNCT
ejpam-6723	163	1	[	[	X
ejpam-6723	163	2	15	15	NUM
ejpam-6723	163	3	]	]	PUNCT
ejpam-6723	163	4	demonstrated	demonstrate	VERB
ejpam-6723	163	5	that	that	SCONJ
ejpam-6723	163	6	the	the	DET
ejpam-6723	163	7	asymmetric	asymmetric	ADJ
ejpam-6723	163	8	forced	force	VERB
ejpam-6723	163	9	van	van	PROPN
ejpam-6723	163	10	der	der	PROPN
ejpam-6723	163	11	pol	pol	PROPN
ejpam-6723	163	12	oscillator	oscillator	NOUN
ejpam-6723	163	13	(	(	PUNCT
ejpam-6723	163	14	β	β	X
ejpam-6723	163	15	̸=	̸=	PROPN
ejpam-6723	163	16	0	0	NUM
ejpam-6723	163	17	)	)	PUNCT
ejpam-6723	163	18	exhibits	exhibit	VERB
ejpam-6723	163	19	fundamentally	fundamentally	ADV
ejpam-6723	163	20	different	different	ADJ
ejpam-6723	163	21	arnold	arnold	PROPN
ejpam-6723	163	22	tongue	tongue	PROPN
ejpam-6723	163	23	behavior	behavior	PROPN
ejpam-6723	163	24	.	.	PUNCT
ejpam-6723	164	1	as	as	SCONJ
ejpam-6723	164	2	β	β	X
ejpam-6723	164	3	increases	increase	VERB
ejpam-6723	164	4	from	from	ADP
ejpam-6723	164	5	0	0	NUM
ejpam-6723	164	6	to	to	ADP
ejpam-6723	164	7	1.2	1.2	NUM
ejpam-6723	164	8	,	,	PUNCT
ejpam-6723	164	9	the	the	DET
ejpam-6723	164	10	frequency	frequency	NOUN
ejpam-6723	164	11	locking	locking	NOUN
ejpam-6723	164	12	regions	region	NOUN
ejpam-6723	164	13	become	become	VERB
ejpam-6723	164	14	progressively	progressively	ADV
ejpam-6723	164	15	narrower	narrow	ADJ
ejpam-6723	164	16	,	,	PUNCT
ejpam-6723	164	17	with	with	ADP
ejpam-6723	164	18	the	the	DET
ejpam-6723	164	19	1:1	1:1	NUM
ejpam-6723	164	20	tongue	tongue	NOUN
ejpam-6723	164	21	showing	show	VERB
ejpam-6723	164	22	the	the	DET
ejpam-6723	164	23	most	most	ADV
ejpam-6723	164	24	dramatic	dramatic	ADJ
ejpam-6723	164	25	reduction	reduction	NOUN
ejpam-6723	164	26	in	in	ADP
ejpam-6723	164	27	width	width	NOUN
ejpam-6723	164	28	.	.	PUNCT
ejpam-6723	165	1	this	this	DET
ejpam-6723	165	2	narrowing	narrowing	NOUN
ejpam-6723	165	3	occurs	occur	VERB
ejpam-6723	165	4	because	because	SCONJ
ejpam-6723	165	5	the	the	DET
ejpam-6723	165	6	asymmetry	asymmetry	NOUN
ejpam-6723	165	7	parameter	parameter	NOUN
ejpam-6723	165	8	shifts	shift	NOUN
ejpam-6723	165	9	the	the	DET
ejpam-6723	165	10	effective	effective	ADJ
ejpam-6723	165	11	resonance	resonance	NOUN
ejpam-6723	165	12	conditions	condition	NOUN
ejpam-6723	165	13	,	,	PUNCT
ejpam-6723	165	14	making	make	VERB
ejpam-6723	165	15	synchronization	synchronization	NOUN
ejpam-6723	165	16	more	more	ADV
ejpam-6723	165	17	difficult	difficult	ADJ
ejpam-6723	165	18	to	to	PART
ejpam-6723	165	19	maintain	maintain	VERB
ejpam-6723	165	20	across	across	ADP
ejpam-6723	165	21	parameter	parameter	NOUN
ejpam-6723	165	22	variations	variation	NOUN
ejpam-6723	165	23	.	.	PUNCT
ejpam-6723	166	1	the	the	DET
ejpam-6723	166	2	parameter	parameter	NOUN
ejpam-6723	166	3	space	space	NOUN
ejpam-6723	166	4	analysis	analysis	NOUN
ejpam-6723	166	5	reveals	reveal	VERB
ejpam-6723	166	6	that	that	SCONJ
ejpam-6723	166	7	for	for	ADP
ejpam-6723	166	8	β	β	X
ejpam-6723	166	9	=	=	SYM
ejpam-6723	166	10	0.25	0.25	NUM
ejpam-6723	166	11	,	,	PUNCT
ejpam-6723	166	12	large	large	ADJ
ejpam-6723	166	13	arnold	arnold	PROPN
ejpam-6723	166	14	tongues	tongue	NOUN
ejpam-6723	166	15	persist	persist	VERB
ejpam-6723	166	16	for	for	ADP
ejpam-6723	166	17	periods	period	NOUN
ejpam-6723	166	18	2	2	NUM
ejpam-6723	166	19	,	,	PUNCT
ejpam-6723	166	20	3	3	NUM
ejpam-6723	166	21	,	,	PUNCT
ejpam-6723	166	22	4	4	NUM
ejpam-6723	166	23	,	,	PUNCT
ejpam-6723	166	24	and	and	CCONJ
ejpam-6723	166	25	8	8	NUM
ejpam-6723	166	26	,	,	PUNCT
ejpam-6723	166	27	maintaining	maintain	VERB
ejpam-6723	166	28	robust	robust	ADJ
ejpam-6723	166	29	frequency	frequency	NOUN
ejpam-6723	166	30	locking	locking	NOUN
ejpam-6723	166	31	similar	similar	ADJ
ejpam-6723	166	32	to	to	ADP
ejpam-6723	166	33	the	the	DET
ejpam-6723	166	34	symmetric	symmetric	ADJ
ejpam-6723	166	35	case	case	NOUN
ejpam-6723	166	36	.	.	PUNCT
ejpam-6723	167	1	however	however	ADV
ejpam-6723	167	2	,	,	PUNCT
ejpam-6723	167	3	as	as	SCONJ
ejpam-6723	167	4	β	β	NOUN
ejpam-6723	167	5	increases	increase	VERB
ejpam-6723	167	6	to	to	ADP
ejpam-6723	167	7	0.8	0.8	NUM
ejpam-6723	167	8	and	and	CCONJ
ejpam-6723	167	9	beyond	beyond	ADV
ejpam-6723	167	10	,	,	PUNCT
ejpam-6723	167	11	the	the	DET
ejpam-6723	167	12	tongues	tongue	NOUN
ejpam-6723	167	13	become	become	VERB
ejpam-6723	167	14	significantly	significantly	ADV
ejpam-6723	167	15	narrower	narrow	ADJ
ejpam-6723	167	16	,	,	PUNCT
ejpam-6723	167	17	with	with	ADP
ejpam-6723	167	18	periods	period	NOUN
ejpam-6723	167	19	ranging	range	VERB
ejpam-6723	167	20	from	from	ADP
ejpam-6723	167	21	1	1	NUM
ejpam-6723	167	22	to	to	ADP
ejpam-6723	167	23	25	25	NUM
ejpam-6723	167	24	but	but	CCONJ
ejpam-6723	167	25	occupying	occupy	VERB
ejpam-6723	167	26	smaller	small	ADJ
ejpam-6723	167	27	parameter	parameter	NOUN
ejpam-6723	167	28	regions	region	NOUN
ejpam-6723	167	29	.	.	PUNCT
ejpam-6723	168	1	this	this	DET
ejpam-6723	168	2	progressive	progressive	ADJ
ejpam-6723	168	3	narrowing	narrowing	NOUN
ejpam-6723	168	4	reflects	reflect	VERB
ejpam-6723	168	5	the	the	DET
ejpam-6723	168	6	increasing	increase	VERB
ejpam-6723	168	7	difficulty	difficulty	NOUN
ejpam-6723	168	8	of	of	ADP
ejpam-6723	168	9	maintaining	maintain	VERB
ejpam-6723	168	10	synchronization	synchronization	NOUN
ejpam-6723	168	11	as	as	SCONJ
ejpam-6723	168	12	system	system	NOUN
ejpam-6723	168	13	asymmetry	asymmetry	NOUN
ejpam-6723	168	14	grows	grow	VERB
ejpam-6723	168	15	.	.	PUNCT
ejpam-6723	169	1	the	the	DET
ejpam-6723	169	2	van	van	PROPN
ejpam-6723	169	3	der	der	PROPN
ejpam-6723	169	4	pol	pol	PROPN
ejpam-6723	169	5	-	-	PUNCT
ejpam-6723	169	6	duffing	duffe	VERB
ejpam-6723	169	7	system	system	NOUN
ejpam-6723	169	8	shows	show	VERB
ejpam-6723	169	9	even	even	ADV
ejpam-6723	169	10	more	more	ADV
ejpam-6723	169	11	dramatic	dramatic	ADJ
ejpam-6723	169	12	changes	change	NOUN
ejpam-6723	169	13	in	in	ADP
ejpam-6723	169	14	arnold	arnold	PROPN
ejpam-6723	169	15	tongue	tongue	NOUN
ejpam-6723	169	16	structure	structure	NOUN
ejpam-6723	169	17	due	due	ADP
ejpam-6723	169	18	to	to	ADP
ejpam-6723	169	19	the	the	DET
ejpam-6723	169	20	combined	combine	VERB
ejpam-6723	169	21	effects	effect	NOUN
ejpam-6723	169	22	of	of	ADP
ejpam-6723	169	23	the	the	DET
ejpam-6723	169	24	cubic	cubic	ADJ
ejpam-6723	169	25	nonlinearity	nonlinearity	NOUN
ejpam-6723	169	26	and	and	CCONJ
ejpam-6723	169	27	asymmetry	asymmetry	NOUN
ejpam-6723	169	28	parameter	parameter	NOUN
ejpam-6723	170	1	[	[	X
ejpam-6723	170	2	17	17	NUM
ejpam-6723	170	3	]	]	PUNCT
ejpam-6723	170	4	found	find	VERB
ejpam-6723	170	5	that	that	SCONJ
ejpam-6723	170	6	while	while	SCONJ
ejpam-6723	170	7	individual	individual	ADJ
ejpam-6723	170	8	tongues	tongue	NOUN
ejpam-6723	170	9	become	become	VERB
ejpam-6723	170	10	narrower	narrow	ADJ
ejpam-6723	170	11	,	,	PUNCT
ejpam-6723	170	12	the	the	DET
ejpam-6723	170	13	overall	overall	ADJ
ejpam-6723	170	14	parameter	parameter	NOUN
ejpam-6723	170	15	space	space	NOUN
ejpam-6723	170	16	covered	cover	VERB
ejpam-6723	170	17	by	by	ADP
ejpam-6723	170	18	chaotic	chaotic	ADJ
ejpam-6723	170	19	regions	region	NOUN
ejpam-6723	170	20	increases	increase	VERB
ejpam-6723	170	21	substantially	substantially	ADV
ejpam-6723	170	22	,	,	PUNCT
ejpam-6723	170	23	providing	provide	VERB
ejpam-6723	170	24	a	a	DET
ejpam-6723	170	25	more	more	ADV
ejpam-6723	170	26	realistic	realistic	ADJ
ejpam-6723	170	27	representation	representation	NOUN
ejpam-6723	170	28	of	of	ADP
ejpam-6723	170	29	the	the	DET
ejpam-6723	170	30	irregular	irregular	ADJ
ejpam-6723	170	31	timing	timing	NOUN
ejpam-6723	170	32	variations	variation	NOUN
ejpam-6723	170	33	observed	observe	VERB
ejpam-6723	170	34	in	in	ADP
ejpam-6723	170	35	paleoclimate	paleoclimate	NOUN
ejpam-6723	170	36	records	record	NOUN
ejpam-6723	170	37	.	.	PUNCT
ejpam-6723	171	1	i	i	PRON
ejpam-6723	171	2	alraddadi	alraddadi	VERB
ejpam-6723	171	3	al	al	PROPN
ejpam-6723	171	4	/	/	PUNCT
ejpam-6723	171	5	eur	eur	PROPN
ejpam-6723	171	6	.	.	PUNCT
ejpam-6723	172	1	j.	j.	PROPN
ejpam-6723	172	2	pure	pure	PROPN
ejpam-6723	172	3	appl	appl	PROPN
ejpam-6723	172	4	.	.	PROPN
ejpam-6723	172	5	math	math	PROPN
ejpam-6723	172	6	,	,	PUNCT
ejpam-6723	172	7	18	18	NUM
ejpam-6723	172	8	(	(	PUNCT
ejpam-6723	172	9	4	4	NUM
ejpam-6723	172	10	)	)	PUNCT
ejpam-6723	172	11	(	(	PUNCT
ejpam-6723	172	12	2025	2025	NUM
ejpam-6723	172	13	)	)	PUNCT
ejpam-6723	172	14	,	,	PUNCT
ejpam-6723	172	15	6723	6723	NUM
ejpam-6723	172	16	13	13	NUM
ejpam-6723	172	17	of	of	ADP
ejpam-6723	172	18	20	20	NUM
ejpam-6723	172	19	5.4	5.4	NUM
ejpam-6723	172	20	.	.	PUNCT
ejpam-6723	173	1	validation	validation	NOUN
ejpam-6723	173	2	and	and	CCONJ
ejpam-6723	173	3	cross	cross	ADJ
ejpam-6723	173	4	-	-	ADJ
ejpam-6723	173	5	verification	verification	ADJ
ejpam-6723	173	6	cross	cross	NOUN
ejpam-6723	173	7	-	-	NOUN
ejpam-6723	173	8	validation	validation	NOUN
ejpam-6723	173	9	with	with	ADP
ejpam-6723	173	10	symmetric	symmetric	ADJ
ejpam-6723	173	11	case	case	NOUN
ejpam-6723	173	12	(	(	PUNCT
ejpam-6723	173	13	β	β	X
ejpam-6723	173	14	=	=	SYM
ejpam-6723	173	15	0	0	NUM
ejpam-6723	173	16	):	):	PUNCT
ejpam-6723	173	17	our	our	PRON
ejpam-6723	173	18	results	result	NOUN
ejpam-6723	173	19	reproduce	reproduce	VERB
ejpam-6723	173	20	classical	classical	ADJ
ejpam-6723	173	21	van	van	PROPN
ejpam-6723	173	22	der	der	PROPN
ejpam-6723	173	23	pol	pol	PROPN
ejpam-6723	173	24	-	-	PUNCT
ejpam-6723	173	25	duffing	duffe	VERB
ejpam-6723	173	26	behavior	behavior	NOUN
ejpam-6723	173	27	when	when	SCONJ
ejpam-6723	173	28	β	β	X
ejpam-6723	173	29	=	=	SYM
ejpam-6723	173	30	0	0	NUM
ejpam-6723	173	31	,	,	PUNCT
ejpam-6723	173	32	matching	match	VERB
ejpam-6723	173	33	guckenheimer	guckenheimer	PROPN
ejpam-6723	173	34	et	et	PROPN
ejpam-6723	173	35	al	al	PROPN
ejpam-6723	173	36	.	.	PROPN
ejpam-6723	174	1	(	(	PUNCT
ejpam-6723	174	2	2003	2003	NUM
ejpam-6723	174	3	)	)	PUNCT
ejpam-6723	174	4	canard	canard	NOUN
ejpam-6723	174	5	solutions	solution	NOUN
ejpam-6723	174	6	and	and	CCONJ
ejpam-6723	174	7	exhibiting	exhibiting	AUX
ejpam-6723	174	8	expected	expect	VERB
ejpam-6723	174	9	1:1	1:1	NUM
ejpam-6723	174	10	,	,	PUNCT
ejpam-6723	174	11	2:1	2:1	NUM
ejpam-6723	174	12	,	,	PUNCT
ejpam-6723	174	13	and	and	CCONJ
ejpam-6723	174	14	3:1	3:1	NUM
ejpam-6723	174	15	arnold	arnold	PROPN
ejpam-6723	174	16	tongue	tongue	PROPN
ejpam-6723	174	17	structures	structure	NOUN
ejpam-6723	174	18	.	.	PUNCT
ejpam-6723	175	1	physical	physical	ADJ
ejpam-6723	175	2	parameter	parameter	NOUN
ejpam-6723	175	3	mapping	mapping	NOUN
ejpam-6723	175	4	:	:	PUNCT
ejpam-6723	175	5	forcing	force	VERB
ejpam-6723	175	6	frequency	frequency	NOUN
ejpam-6723	175	7	ω	ω	NOUN
ejpam-6723	175	8	=	=	SYM
ejpam-6723	175	9	1	1	NUM
ejpam-6723	175	10	corresponds	correspond	VERB
ejpam-6723	175	11	to	to	ADP
ejpam-6723	175	12	100	100	NUM
ejpam-6723	175	13	kyr	kyr	PROPN
ejpam-6723	175	14	eccentricity	eccentricity	NOUN
ejpam-6723	175	15	cycles	cycle	NOUN
ejpam-6723	175	16	,	,	PUNCT
ejpam-6723	175	17	ω	ω	NOUN
ejpam-6723	175	18	=	=	SYM
ejpam-6723	175	19	2.44	2.44	NUM
ejpam-6723	175	20	to	to	ADP
ejpam-6723	175	21	41	41	NUM
ejpam-6723	175	22	kyr	kyr	PROPN
ejpam-6723	175	23	obliquity	obliquity	NOUN
ejpam-6723	175	24	cycles	cycle	NOUN
ejpam-6723	175	25	,	,	PUNCT
ejpam-6723	175	26	and	and	CCONJ
ejpam-6723	175	27	amplitude	amplitude	NOUN
ejpam-6723	175	28	γ	γ	X
ejpam-6723	175	29	=	=	SYM
ejpam-6723	175	30	0.1	0.1	NUM
ejpam-6723	175	31	-	-	SYM
ejpam-6723	175	32	2.0	2.0	NUM
ejpam-6723	175	33	spans	span	NOUN
ejpam-6723	175	34	realistic	realistic	ADJ
ejpam-6723	175	35	eccentricity	eccentricity	NOUN
ejpam-6723	175	36	variations	variation	NOUN
ejpam-6723	175	37	(	(	PUNCT
ejpam-6723	175	38	0.005	0.005	NUM
ejpam-6723	175	39	-	-	SYM
ejpam-6723	175	40	0.07	0.07	NUM
ejpam-6723	175	41	)	)	PUNCT
ejpam-6723	175	42	.	.	PUNCT
ejpam-6723	176	1	paleoclimate	paleoclimate	NOUN
ejpam-6723	176	2	proxy	proxy	NOUN
ejpam-6723	176	3	comparison	comparison	NOUN
ejpam-6723	176	4	:	:	PUNCT
ejpam-6723	176	5	the	the	DET
ejpam-6723	176	6	progressive	progressive	ADJ
ejpam-6723	176	7	arnold	arnold	PROPN
ejpam-6723	176	8	tongue	tongue	NOUN
ejpam-6723	176	9	narrowing	narrow	VERB
ejpam-6723	176	10	with	with	ADP
ejpam-6723	176	11	increasing	increase	VERB
ejpam-6723	176	12	β	β	PRON
ejpam-6723	176	13	qualitatively	qualitatively	ADV
ejpam-6723	176	14	matches	match	VERB
ejpam-6723	176	15	the	the	DET
ejpam-6723	176	16	observed	observe	VERB
ejpam-6723	176	17	reduction	reduction	NOUN
ejpam-6723	176	18	in	in	ADP
ejpam-6723	176	19	glacial	glacial	ADJ
ejpam-6723	176	20	cycle	cycle	NOUN
ejpam-6723	176	21	regularity	regularity	NOUN
ejpam-6723	176	22	during	during	ADP
ejpam-6723	176	23	the	the	DET
ejpam-6723	176	24	mid	mid	ADJ
ejpam-6723	176	25	-	-	ADJ
ejpam-6723	176	26	pleistocene	pleistocene	ADJ
ejpam-6723	176	27	transition	transition	NOUN
ejpam-6723	176	28	(	(	PUNCT
ejpam-6723	176	29	1.2	1.2	NUM
ejpam-6723	176	30	-	-	SYM
ejpam-6723	176	31	0.8	0.8	NUM
ejpam-6723	176	32	ma	ma	PROPN
ejpam-6723	176	33	)	)	PUNCT
ejpam-6723	176	34	,	,	PUNCT
ejpam-6723	176	35	supporting	support	VERB
ejpam-6723	176	36	the	the	DET
ejpam-6723	176	37	model	model	NOUN
ejpam-6723	176	38	’s	’s	PART
ejpam-6723	176	39	physical	physical	ADJ
ejpam-6723	176	40	relevance	relevance	NOUN
ejpam-6723	176	41	.	.	PUNCT
ejpam-6723	177	1	5.5	5.5	NUM
ejpam-6723	177	2	.	.	PUNCT
ejpam-6723	177	3	frequency	frequency	NOUN
ejpam-6723	177	4	locking	locking	NOUN
ejpam-6723	177	5	regions	region	NOUN
ejpam-6723	177	6	analysis	analysis	VERB
ejpam-6723	177	7	the	the	DET
ejpam-6723	177	8	(	(	PUNCT
ejpam-6723	177	9	a	a	PRON
ejpam-6723	177	10	,	,	PUNCT
ejpam-6723	177	11	ω	ω	NOUN
ejpam-6723	177	12	)	)	PUNCT
ejpam-6723	177	13	parameter	parameter	NOUN
ejpam-6723	177	14	space	space	NOUN
ejpam-6723	177	15	reveals	reveal	VERB
ejpam-6723	177	16	distinct	distinct	ADJ
ejpam-6723	177	17	dynamical	dynamical	ADJ
ejpam-6723	177	18	regimes	regime	NOUN
ejpam-6723	177	19	as	as	SCONJ
ejpam-6723	177	20	the	the	DET
ejpam-6723	177	21	symmetry	symmetry	NOUN
ejpam-6723	177	22	-	-	PUNCT
ejpam-6723	177	23	breaking	break	VERB
ejpam-6723	177	24	parameter	parameter	NOUN
ejpam-6723	177	25	β	β	PROPN
ejpam-6723	177	26	varies	vary	VERB
ejpam-6723	177	27	(	(	PUNCT
ejpam-6723	177	28	figure	figure	NOUN
ejpam-6723	177	29	7	7	NUM
ejpam-6723	177	30	)	)	PUNCT
ejpam-6723	177	31	.	.	PUNCT
ejpam-6723	178	1	for	for	ADP
ejpam-6723	178	2	the	the	DET
ejpam-6723	178	3	symmetric	symmetric	ADJ
ejpam-6723	178	4	case	case	NOUN
ejpam-6723	178	5	(	(	PUNCT
ejpam-6723	178	6	β	β	X
ejpam-6723	178	7	=	=	SYM
ejpam-6723	178	8	0	0	NUM
ejpam-6723	178	9	)	)	PUNCT
ejpam-6723	178	10	,	,	PUNCT
ejpam-6723	178	11	we	we	PRON
ejpam-6723	178	12	observe	observe	VERB
ejpam-6723	178	13	well	well	ADV
ejpam-6723	178	14	-	-	PUNCT
ejpam-6723	178	15	defined	define	VERB
ejpam-6723	178	16	arnold	arnold	PROPN
ejpam-6723	178	17	tongue	tongue	NOUN
ejpam-6723	178	18	structures	structure	NOUN
ejpam-6723	178	19	with	with	ADP
ejpam-6723	178	20	large	large	ADJ
ejpam-6723	178	21	1:1	1:1	NUM
ejpam-6723	178	22	frequency	frequency	NOUN
ejpam-6723	178	23	locking	locking	NOUN
ejpam-6723	178	24	regions	region	NOUN
ejpam-6723	178	25	and	and	CCONJ
ejpam-6723	178	26	significant	significant	ADJ
ejpam-6723	178	27	bistability	bistability	NOUN
ejpam-6723	178	28	zones	zone	NOUN
ejpam-6723	178	29	between	between	ADP
ejpam-6723	178	30	different	different	ADJ
ejpam-6723	178	31	periodic	periodic	ADJ
ejpam-6723	178	32	windows	window	NOUN
ejpam-6723	178	33	.	.	PUNCT
ejpam-6723	179	1	the	the	DET
ejpam-6723	179	2	tongue	tongue	NOUN
ejpam-6723	179	3	boundaries	boundary	NOUN
ejpam-6723	179	4	correspond	correspond	VERB
ejpam-6723	179	5	to	to	ADP
ejpam-6723	179	6	saddle	saddle	NOUN
ejpam-6723	179	7	-	-	PUNCT
ejpam-6723	179	8	node	node	NOUN
ejpam-6723	179	9	bifurcations	bifurcation	NOUN
ejpam-6723	179	10	of	of	ADP
ejpam-6723	179	11	periodic	periodic	ADJ
ejpam-6723	179	12	orbits	orbit	NOUN
ejpam-6723	179	13	,	,	PUNCT
ejpam-6723	179	14	consistent	consistent	ADJ
ejpam-6723	179	15	with	with	ADP
ejpam-6723	179	16	classical	classical	ADJ
ejpam-6723	179	17	synchronization	synchronization	NOUN
ejpam-6723	179	18	theory	theory	NOUN
ejpam-6723	179	19	.	.	PUNCT
ejpam-6723	180	1	i	i	PRON
ejpam-6723	180	2	alraddadi	alraddadi	VERB
ejpam-6723	180	3	al	al	PROPN
ejpam-6723	180	4	/	/	PUNCT
ejpam-6723	180	5	eur	eur	PROPN
ejpam-6723	180	6	.	.	PUNCT
ejpam-6723	181	1	j.	j.	PROPN
ejpam-6723	181	2	pure	pure	PROPN
ejpam-6723	181	3	appl	appl	PROPN
ejpam-6723	181	4	.	.	PROPN
ejpam-6723	181	5	math	math	PROPN
ejpam-6723	181	6	,	,	PUNCT
ejpam-6723	181	7	18	18	NUM
ejpam-6723	181	8	(	(	PUNCT
ejpam-6723	181	9	4	4	NUM
ejpam-6723	181	10	)	)	PUNCT
ejpam-6723	181	11	(	(	PUNCT
ejpam-6723	181	12	2025	2025	NUM
ejpam-6723	181	13	)	)	PUNCT
ejpam-6723	181	14	,	,	PUNCT
ejpam-6723	181	15	6723	6723	NUM
ejpam-6723	181	16	14	14	NUM
ejpam-6723	181	17	of	of	ADP
ejpam-6723	181	18	20	20	NUM
ejpam-6723	181	19	beta=0.25	beta=0.25	NOUN
ejpam-6723	181	20	0	0	NUM
ejpam-6723	181	21	1	1	NUM
ejpam-6723	181	22	2	2	NUM
ejpam-6723	181	23	3	3	NUM
ejpam-6723	181	24	4	4	NUM
ejpam-6723	181	25	a	a	DET
ejpam-6723	181	26	0	0	NUM
ejpam-6723	181	27	1	1	NUM
ejpam-6723	181	28	2	2	NUM
ejpam-6723	181	29	3	3	NUM
ejpam-6723	181	30	4	4	NUM
ejpam-6723	181	31	0	0	NUM
ejpam-6723	181	32	10	10	NUM
ejpam-6723	181	33	20	20	NUM
ejpam-6723	181	34	30	30	NUM
ejpam-6723	181	35	2:1	2:1	NUM
ejpam-6723	181	36	4:1	4:1	NUM
ejpam-6723	181	37	3:1	3:1	NUM
ejpam-6723	181	38	(	(	PUNCT
ejpam-6723	181	39	a	a	NOUN
ejpam-6723	181	40	)	)	PUNCT
ejpam-6723	182	1	beta=0.5	beta=0.5	ADJ
ejpam-6723	182	2	0	0	NUM
ejpam-6723	182	3	1	1	NUM
ejpam-6723	182	4	2	2	NUM
ejpam-6723	182	5	3	3	NUM
ejpam-6723	182	6	4	4	NUM
ejpam-6723	182	7	a	a	DET
ejpam-6723	182	8	0	0	NUM
ejpam-6723	182	9	1	1	NUM
ejpam-6723	182	10	2	2	NUM
ejpam-6723	182	11	3	3	NUM
ejpam-6723	182	12	4	4	NUM
ejpam-6723	182	13	0	0	NUM
ejpam-6723	182	14	10	10	NUM
ejpam-6723	182	15	20	20	NUM
ejpam-6723	182	16	30	30	NUM
ejpam-6723	182	17	2:1	2:1	NUM
ejpam-6723	182	18	3:1	3:1	NUM
ejpam-6723	182	19	4:1	4:1	NUM
ejpam-6723	182	20	(	(	PUNCT
ejpam-6723	182	21	b	b	NOUN
ejpam-6723	182	22	)	)	PUNCT
ejpam-6723	182	23	beta=0.8	beta=0.8	ADP
ejpam-6723	182	24	0	0	NUM
ejpam-6723	182	25	1	1	NUM
ejpam-6723	182	26	2	2	NUM
ejpam-6723	182	27	3	3	NUM
ejpam-6723	182	28	4	4	NUM
ejpam-6723	182	29	a	a	DET
ejpam-6723	182	30	0	0	NUM
ejpam-6723	182	31	1	1	NUM
ejpam-6723	182	32	2	2	NUM
ejpam-6723	182	33	3	3	NUM
ejpam-6723	182	34	4	4	NUM
ejpam-6723	182	35	0	0	NUM
ejpam-6723	182	36	10	10	NUM
ejpam-6723	182	37	20	20	NUM
ejpam-6723	182	38	30	30	NUM
ejpam-6723	182	39	2:1	2:1	NUM
ejpam-6723	182	40	8:1	8:1	NUM
ejpam-6723	182	41	3:1	3:1	NUM
ejpam-6723	182	42	4:1	4:1	NUM
ejpam-6723	182	43	(	(	PUNCT
ejpam-6723	182	44	c	c	NOUN
ejpam-6723	182	45	)	)	PUNCT
ejpam-6723	182	46	beta=1.2	beta=1.2	NOUN
ejpam-6723	182	47	0	0	NUM
ejpam-6723	182	48	1	1	NUM
ejpam-6723	182	49	2	2	NUM
ejpam-6723	182	50	3	3	NUM
ejpam-6723	182	51	4	4	NUM
ejpam-6723	182	52	a	a	DET
ejpam-6723	182	53	0	0	NUM
ejpam-6723	182	54	1	1	NUM
ejpam-6723	182	55	2	2	NUM
ejpam-6723	182	56	3	3	NUM
ejpam-6723	182	57	4	4	NUM
ejpam-6723	182	58	0	0	NUM
ejpam-6723	182	59	5	5	NUM
ejpam-6723	182	60	10	10	NUM
ejpam-6723	182	61	15	15	NUM
ejpam-6723	182	62	20	20	NUM
ejpam-6723	182	63	25	25	NUM
ejpam-6723	182	64	30	30	NUM
ejpam-6723	182	65	2:1	2:1	NUM
ejpam-6723	182	66	3:1	3:1	NUM
ejpam-6723	182	67	8:1	8:1	NUM
ejpam-6723	182	68	(	(	PUNCT
ejpam-6723	182	69	d	d	NOUN
ejpam-6723	182	70	)	)	PUNCT
ejpam-6723	182	71	figure	figure	NOUN
ejpam-6723	182	72	7	7	NUM
ejpam-6723	182	73	:	:	PUNCT
ejpam-6723	182	74	arnold	arnold	PROPN
ejpam-6723	182	75	tongues	tongue	NOUN
ejpam-6723	182	76	in	in	ADP
ejpam-6723	182	77	the	the	DET
ejpam-6723	182	78	(	(	PUNCT
ejpam-6723	182	79	a	a	PRON
ejpam-6723	182	80	,	,	PUNCT
ejpam-6723	182	81	ω	ω	NOUN
ejpam-6723	182	82	)	)	PUNCT
ejpam-6723	182	83	parameter	parameter	NOUN
ejpam-6723	182	84	plane	plane	NOUN
ejpam-6723	182	85	for	for	ADP
ejpam-6723	182	86	different	different	ADJ
ejpam-6723	182	87	β	β	NOUN
ejpam-6723	182	88	.	.	PUNCT
ejpam-6723	183	1	the	the	DET
ejpam-6723	183	2	colorbar	colorbar	PROPN
ejpam-6723	183	3	indicates	indicate	VERB
ejpam-6723	183	4	the	the	DET
ejpam-6723	183	5	rotation	rotation	NOUN
ejpam-6723	183	6	period	period	NOUN
ejpam-6723	183	7	n	n	PROPN
ejpam-6723	183	8	of	of	ADP
ejpam-6723	183	9	the	the	DET
ejpam-6723	183	10	return	return	NOUN
ejpam-6723	183	11	map	map	NOUN
ejpam-6723	183	12	.	.	PUNCT
ejpam-6723	184	1	(	(	PUNCT
ejpam-6723	184	2	a	a	X
ejpam-6723	184	3	)	)	PUNCT
ejpam-6723	184	4	β	β	NOUN
ejpam-6723	184	5	=	=	SYM
ejpam-6723	184	6	0.25	0.25	NUM
ejpam-6723	184	7	shows	show	VERB
ejpam-6723	184	8	wide	wide	ADJ
ejpam-6723	184	9	frequency	frequency	NOUN
ejpam-6723	184	10	locking	locking	NOUN
ejpam-6723	184	11	regions	region	NOUN
ejpam-6723	184	12	around	around	ADP
ejpam-6723	184	13	ω	ω	PROPN
ejpam-6723	184	14	=	=	SYM
ejpam-6723	184	15	1	1	NUM
ejpam-6723	184	16	and	and	CCONJ
ejpam-6723	184	17	ω	ω	NUM
ejpam-6723	184	18	=	=	SYM
ejpam-6723	184	19	4	4	NUM
ejpam-6723	184	20	with	with	ADP
ejpam-6723	184	21	clear	clear	ADJ
ejpam-6723	184	22	period-2	period-2	NUM
ejpam-6723	184	23	,	,	PUNCT
ejpam-6723	184	24	period-3	period-3	NUM
ejpam-6723	184	25	,	,	PUNCT
ejpam-6723	184	26	period-4	period-4	NUM
ejpam-6723	184	27	and	and	CCONJ
ejpam-6723	184	28	period-8	period-8	NUM
ejpam-6723	184	29	structures	structure	NOUN
ejpam-6723	184	30	.	.	PUNCT
ejpam-6723	185	1	(	(	PUNCT
ejpam-6723	185	2	b	b	X
ejpam-6723	185	3	)	)	PUNCT
ejpam-6723	185	4	β	β	NOUN
ejpam-6723	185	5	=	=	SYM
ejpam-6723	185	6	0.5	0.5	NUM
ejpam-6723	185	7	displays	display	VERB
ejpam-6723	185	8	one	one	NUM
ejpam-6723	185	9	dominant	dominant	ADJ
ejpam-6723	185	10	wide	wide	ADJ
ejpam-6723	185	11	locking	locking	NOUN
ejpam-6723	185	12	region	region	NOUN
ejpam-6723	185	13	around	around	ADP
ejpam-6723	185	14	ω	ω	PROPN
ejpam-6723	185	15	=	=	SYM
ejpam-6723	185	16	1	1	NUM
ejpam-6723	185	17	,	,	PUNCT
ejpam-6723	185	18	particularly	particularly	ADV
ejpam-6723	185	19	prominent	prominent	ADJ
ejpam-6723	185	20	for	for	ADP
ejpam-6723	185	21	small	small	ADJ
ejpam-6723	185	22	forcing	force	VERB
ejpam-6723	185	23	amplitudes	amplitude	NOUN
ejpam-6723	185	24	a.	a.	NOUN
ejpam-6723	185	25	(	(	PUNCT
ejpam-6723	185	26	c	c	NOUN
ejpam-6723	185	27	)	)	PUNCT
ejpam-6723	185	28	β	β	NOUN
ejpam-6723	185	29	=	=	NOUN
ejpam-6723	185	30	0.8	0.8	NUM
ejpam-6723	185	31	exhibits	exhibit	NOUN
ejpam-6723	185	32	narrowed	narrow	VERB
ejpam-6723	185	33	arnold	arnold	PROPN
ejpam-6723	185	34	tongues	tongue	NOUN
ejpam-6723	185	35	with	with	ADP
ejpam-6723	185	36	most	most	ADJ
ejpam-6723	185	37	frequency	frequency	NOUN
ejpam-6723	185	38	locking	locking	NOUN
ejpam-6723	185	39	regions	region	NOUN
ejpam-6723	185	40	starting	start	VERB
ejpam-6723	185	41	from	from	ADP
ejpam-6723	185	42	a	a	DET
ejpam-6723	185	43	=	=	NUM
ejpam-6723	185	44	1	1	NUM
ejpam-6723	185	45	,	,	PUNCT
ejpam-6723	185	46	except	except	SCONJ
ejpam-6723	185	47	one	one	NUM
ejpam-6723	185	48	resilient	resilient	ADJ
ejpam-6723	185	49	region	region	NOUN
ejpam-6723	185	50	2:1	2:1	NUM
ejpam-6723	185	51	from	from	ADP
ejpam-6723	185	52	a	a	DET
ejpam-6723	185	53	=	=	NOUN
ejpam-6723	185	54	0	0	NUM
ejpam-6723	185	55	.	.	PUNCT
ejpam-6723	186	1	(	(	PUNCT
ejpam-6723	186	2	d	d	X
ejpam-6723	186	3	)	)	PUNCT
ejpam-6723	186	4	β	β	NOUN
ejpam-6723	186	5	=	=	SYM
ejpam-6723	186	6	1.2	1.2	NUM
ejpam-6723	186	7	demonstrates	demonstrate	VERB
ejpam-6723	186	8	severely	severely	ADV
ejpam-6723	186	9	reduced	reduce	VERB
ejpam-6723	186	10	tongues	tongue	NOUN
ejpam-6723	186	11	where	where	SCONJ
ejpam-6723	186	12	most	most	ADJ
ejpam-6723	186	13	locking	locking	NOUN
ejpam-6723	186	14	regions	region	NOUN
ejpam-6723	186	15	require	require	VERB
ejpam-6723	186	16	a	a	DET
ejpam-6723	186	17	≥	≥	NOUN
ejpam-6723	186	18	1.5	1.5	NUM
ejpam-6723	186	19	to	to	PART
ejpam-6723	186	20	initiate	initiate	VERB
ejpam-6723	186	21	,	,	PUNCT
ejpam-6723	186	22	while	while	SCONJ
ejpam-6723	186	23	only	only	ADV
ejpam-6723	186	24	one	one	NUM
ejpam-6723	186	25	wide	wide	ADJ
ejpam-6723	186	26	frequency	frequency	NOUN
ejpam-6723	186	27	locking	locking	NOUN
ejpam-6723	186	28	region	region	NOUN
ejpam-6723	186	29	2:1	2:1	NUM
ejpam-6723	186	30	persists	persist	VERB
ejpam-6723	186	31	from	from	ADP
ejpam-6723	186	32	a	a	DET
ejpam-6723	186	33	=	=	NOUN
ejpam-6723	186	34	0	0	NUM
ejpam-6723	187	1	around	around	ADP
ejpam-6723	187	2	ω	ω	PROPN
ejpam-6723	187	3	≈	≈	PROPN
ejpam-6723	187	4	2	2	NUM
ejpam-6723	187	5	(	(	PUNCT
ejpam-6723	187	6	matlab	matlab	PROPN
ejpam-6723	187	7	code	code	PROPN
ejpam-6723	187	8	is	be	AUX
ejpam-6723	187	9	shown	show	VERB
ejpam-6723	187	10	in	in	ADP
ejpam-6723	187	11	[	[	X
ejpam-6723	187	12	14	14	NUM
ejpam-6723	187	13	]	]	SYM
ejpam-6723	187	14	)	)	PUNCT
ejpam-6723	188	1	i	i	PRON
ejpam-6723	188	2	alraddadi	alraddadi	VERB
ejpam-6723	188	3	al	al	PROPN
ejpam-6723	188	4	/	/	PUNCT
ejpam-6723	188	5	eur	eur	PROPN
ejpam-6723	188	6	.	.	PUNCT
ejpam-6723	189	1	j.	j.	PROPN
ejpam-6723	189	2	pure	pure	PROPN
ejpam-6723	189	3	appl	appl	PROPN
ejpam-6723	189	4	.	.	PROPN
ejpam-6723	189	5	math	math	PROPN
ejpam-6723	189	6	,	,	PUNCT
ejpam-6723	189	7	18	18	NUM
ejpam-6723	189	8	(	(	PUNCT
ejpam-6723	189	9	4	4	NUM
ejpam-6723	189	10	)	)	PUNCT
ejpam-6723	189	11	(	(	PUNCT
ejpam-6723	189	12	2025	2025	NUM
ejpam-6723	189	13	)	)	PUNCT
ejpam-6723	189	14	,	,	PUNCT
ejpam-6723	189	15	6723	6723	NUM
ejpam-6723	189	16	15	15	NUM
ejpam-6723	189	17	of	of	ADP
ejpam-6723	189	18	20	20	NUM
ejpam-6723	189	19	these	these	DET
ejpam-6723	189	20	results	result	NOUN
ejpam-6723	189	21	have	have	VERB
ejpam-6723	189	22	significant	significant	ADJ
ejpam-6723	189	23	implications	implication	NOUN
ejpam-6723	189	24	for	for	ADP
ejpam-6723	189	25	understanding	understand	VERB
ejpam-6723	189	26	climate	climate	NOUN
ejpam-6723	189	27	system	system	NOUN
ejpam-6723	189	28	dynamics	dynamic	NOUN
ejpam-6723	189	29	and	and	CCONJ
ejpam-6723	189	30	the	the	DET
ejpam-6723	189	31	mechanisms	mechanism	NOUN
ejpam-6723	189	32	underlying	underlie	VERB
ejpam-6723	189	33	major	major	ADJ
ejpam-6723	189	34	climate	climate	NOUN
ejpam-6723	189	35	transitions	transition	NOUN
ejpam-6723	189	36	such	such	ADJ
ejpam-6723	189	37	as	as	ADP
ejpam-6723	189	38	the	the	DET
ejpam-6723	189	39	mid	mid	ADJ
ejpam-6723	189	40	-	-	ADJ
ejpam-6723	189	41	pleistocene	pleistocene	ADJ
ejpam-6723	189	42	transition	transition	NOUN
ejpam-6723	189	43	(	(	PUNCT
ejpam-6723	189	44	mpt	mpt	PROPN
ejpam-6723	189	45	)	)	PUNCT
ejpam-6723	190	1	[	[	X
ejpam-6723	190	2	16	16	NUM
ejpam-6723	190	3	]	]	PUNCT
ejpam-6723	190	4	.	.	PUNCT
ejpam-6723	191	1	our	our	PRON
ejpam-6723	191	2	parameter	parameter	NOUN
ejpam-6723	191	3	space	space	NOUN
ejpam-6723	191	4	analysis	analysis	NOUN
ejpam-6723	191	5	reveals	reveal	VERB
ejpam-6723	191	6	a	a	DET
ejpam-6723	191	7	clear	clear	ADJ
ejpam-6723	191	8	hierarchy	hierarchy	NOUN
ejpam-6723	191	9	of	of	ADP
ejpam-6723	191	10	synchronization	synchronization	NOUN
ejpam-6723	191	11	robustness	robustness	NOUN
ejpam-6723	191	12	as	as	ADP
ejpam-6723	191	13	the	the	DET
ejpam-6723	191	14	asymmetry	asymmetry	NOUN
ejpam-6723	191	15	parameter	parameter	NOUN
ejpam-6723	191	16	β	β	PROPN
ejpam-6723	191	17	increases	increase	VERB
ejpam-6723	191	18	from	from	ADP
ejpam-6723	191	19	0.25	0.25	NUM
ejpam-6723	191	20	to	to	ADP
ejpam-6723	191	21	1.2	1.2	NUM
ejpam-6723	191	22	.	.	PUNCT
ejpam-6723	192	1	in	in	ADP
ejpam-6723	192	2	the	the	DET
ejpam-6723	192	3	near	near	ADJ
ejpam-6723	192	4	-	-	PUNCT
ejpam-6723	192	5	symmetric	symmetric	ADJ
ejpam-6723	192	6	regime	regime	NOUN
ejpam-6723	192	7	(	(	PUNCT
ejpam-6723	192	8	β	β	X
ejpam-6723	192	9	=	=	NUM
ejpam-6723	192	10	0.25	0.25	NUM
ejpam-6723	192	11	)	)	PUNCT
ejpam-6723	192	12	,	,	PUNCT
ejpam-6723	192	13	figure	figure	NOUN
ejpam-6723	192	14	7(a	7(a	NUM
ejpam-6723	192	15	)	)	PUNCT
ejpam-6723	192	16	demonstrates	demonstrate	VERB
ejpam-6723	192	17	that	that	SCONJ
ejpam-6723	192	18	the	the	DET
ejpam-6723	192	19	system	system	NOUN
ejpam-6723	192	20	maintains	maintain	VERB
ejpam-6723	192	21	wide	wide	ADJ
ejpam-6723	192	22	frequency	frequency	NOUN
ejpam-6723	192	23	locking	locking	NOUN
ejpam-6723	192	24	regions	region	NOUN
ejpam-6723	192	25	around	around	ADP
ejpam-6723	192	26	ω	ω	PROPN
ejpam-6723	192	27	=	=	SYM
ejpam-6723	192	28	1	1	NUM
ejpam-6723	192	29	and	and	CCONJ
ejpam-6723	192	30	ω	ω	NUM
ejpam-6723	192	31	=	=	SYM
ejpam-6723	192	32	4	4	NUM
ejpam-6723	192	33	,	,	PUNCT
ejpam-6723	192	34	supporting	support	VERB
ejpam-6723	192	35	multiple	multiple	ADJ
ejpam-6723	192	36	periodic	periodic	ADJ
ejpam-6723	192	37	structures	structure	NOUN
ejpam-6723	192	38	including	include	VERB
ejpam-6723	192	39	period-2	period-2	NUM
ejpam-6723	192	40	,	,	PUNCT
ejpam-6723	192	41	period-3	period-3	NUM
ejpam-6723	192	42	,	,	PUNCT
ejpam-6723	192	43	and	and	CCONJ
ejpam-6723	192	44	period-4	period-4	NUM
ejpam-6723	192	45	oscillations	oscillation	NOUN
ejpam-6723	192	46	.	.	PUNCT
ejpam-6723	193	1	this	this	DET
ejpam-6723	193	2	robust	robust	ADJ
ejpam-6723	193	3	synchronization	synchronization	NOUN
ejpam-6723	193	4	capability	capability	NOUN
ejpam-6723	193	5	suggests	suggest	VERB
ejpam-6723	193	6	that	that	SCONJ
ejpam-6723	193	7	climate	climate	NOUN
ejpam-6723	193	8	systems	system	NOUN
ejpam-6723	193	9	with	with	ADP
ejpam-6723	193	10	minimal	minimal	ADJ
ejpam-6723	193	11	asymmetry	asymmetry	NOUN
ejpam-6723	193	12	can	can	AUX
ejpam-6723	193	13	maintain	maintain	VERB
ejpam-6723	193	14	stable	stable	ADJ
ejpam-6723	193	15	frequency	frequency	NOUN
ejpam-6723	193	16	relationships	relationship	NOUN
ejpam-6723	193	17	with	with	ADP
ejpam-6723	193	18	astronomical	astronomical	ADJ
ejpam-6723	193	19	forcing	forcing	NOUN
ejpam-6723	193	20	across	across	ADP
ejpam-6723	193	21	broad	broad	ADJ
ejpam-6723	193	22	parameter	parameter	NOUN
ejpam-6723	193	23	ranges	range	NOUN
ejpam-6723	193	24	,	,	PUNCT
ejpam-6723	193	25	consistent	consistent	ADJ
ejpam-6723	193	26	with	with	ADP
ejpam-6723	193	27	the	the	DET
ejpam-6723	193	28	relatively	relatively	ADV
ejpam-6723	193	29	stable	stable	ADJ
ejpam-6723	193	30	41	41	NUM
ejpam-6723	193	31	kyr	kyr	PROPN
ejpam-6723	193	32	obliquity	obliquity	NOUN
ejpam-6723	193	33	-	-	PUNCT
ejpam-6723	193	34	paced	pace	VERB
ejpam-6723	193	35	cycles	cycle	NOUN
ejpam-6723	193	36	observed	observe	VERB
ejpam-6723	193	37	during	during	ADP
ejpam-6723	193	38	the	the	DET
ejpam-6723	193	39	early	early	ADJ
ejpam-6723	193	40	pleistocene	pleistocene	NOUN
ejpam-6723	194	1	[	[	X
ejpam-6723	194	2	16	16	NUM
ejpam-6723	194	3	]	]	PUNCT
ejpam-6723	194	4	as	as	ADP
ejpam-6723	194	5	asymmetry	asymmetry	NOUN
ejpam-6723	194	6	increases	increase	NOUN
ejpam-6723	194	7	to	to	ADP
ejpam-6723	194	8	β	β	NOUN
ejpam-6723	194	9	=	=	SYM
ejpam-6723	194	10	0.5	0.5	NUM
ejpam-6723	194	11	,	,	PUNCT
ejpam-6723	194	12	figure	figure	NOUN
ejpam-6723	194	13	7(b	7(b	NOUN
ejpam-6723	194	14	)	)	PUNCT
ejpam-6723	194	15	shows	show	VERB
ejpam-6723	194	16	a	a	DET
ejpam-6723	194	17	fundamental	fundamental	ADJ
ejpam-6723	194	18	reorganization	reorganization	NOUN
ejpam-6723	194	19	where	where	SCONJ
ejpam-6723	194	20	the	the	DET
ejpam-6723	194	21	system	system	NOUN
ejpam-6723	194	22	consolidates	consolidate	VERB
ejpam-6723	194	23	into	into	ADP
ejpam-6723	194	24	a	a	DET
ejpam-6723	194	25	single	single	ADJ
ejpam-6723	194	26	dominant	dominant	ADJ
ejpam-6723	194	27	wide	wide	ADJ
ejpam-6723	194	28	locking	locking	NOUN
ejpam-6723	194	29	region	region	NOUN
ejpam-6723	194	30	around	around	ADP
ejpam-6723	194	31	ω	ω	PROPN
ejpam-6723	194	32	=	=	SYM
ejpam-6723	194	33	1	1	NUM
ejpam-6723	194	34	,	,	PUNCT
ejpam-6723	194	35	particularly	particularly	ADV
ejpam-6723	194	36	prominent	prominent	ADJ
ejpam-6723	194	37	for	for	ADP
ejpam-6723	194	38	small	small	ADJ
ejpam-6723	194	39	forcing	force	VERB
ejpam-6723	194	40	amplitudes	amplitude	NOUN
ejpam-6723	194	41	a.	a.	NOUN
ejpam-6723	194	42	this	this	DET
ejpam-6723	194	43	consolidation	consolidation	NOUN
ejpam-6723	194	44	represents	represent	VERB
ejpam-6723	194	45	a	a	DET
ejpam-6723	194	46	critical	critical	ADJ
ejpam-6723	194	47	transition	transition	NOUN
ejpam-6723	194	48	point	point	NOUN
ejpam-6723	194	49	where	where	SCONJ
ejpam-6723	194	50	the	the	DET
ejpam-6723	194	51	system	system	NOUN
ejpam-6723	194	52	begins	begin	VERB
ejpam-6723	194	53	to	to	PART
ejpam-6723	194	54	lose	lose	VERB
ejpam-6723	194	55	its	its	PRON
ejpam-6723	194	56	capacity	capacity	NOUN
ejpam-6723	194	57	for	for	ADP
ejpam-6723	194	58	diverse	diverse	ADJ
ejpam-6723	194	59	frequency	frequency	NOUN
ejpam-6723	194	60	locking	locking	NOUN
ejpam-6723	194	61	modes	mode	NOUN
ejpam-6723	194	62	while	while	SCONJ
ejpam-6723	194	63	maintaining	maintain	VERB
ejpam-6723	194	64	strong	strong	ADJ
ejpam-6723	194	65	synchronization	synchronization	NOUN
ejpam-6723	194	66	in	in	ADP
ejpam-6723	194	67	specific	specific	ADJ
ejpam-6723	194	68	parameter	parameter	NOUN
ejpam-6723	194	69	windows	window	NOUN
ejpam-6723	194	70	.	.	PUNCT
ejpam-6723	195	1	the	the	DET
ejpam-6723	195	2	preference	preference	NOUN
ejpam-6723	195	3	for	for	ADP
ejpam-6723	195	4	lower	low	ADJ
ejpam-6723	195	5	forcing	force	VERB
ejpam-6723	195	6	amplitudes	amplitude	NOUN
ejpam-6723	195	7	in	in	ADP
ejpam-6723	195	8	this	this	DET
ejpam-6723	195	9	regime	regime	NOUN
ejpam-6723	195	10	suggests	suggest	VERB
ejpam-6723	195	11	that	that	SCONJ
ejpam-6723	195	12	moderately	moderately	ADV
ejpam-6723	195	13	asymmetric	asymmetric	ADJ
ejpam-6723	195	14	climate	climate	NOUN
ejpam-6723	195	15	systems	system	NOUN
ejpam-6723	195	16	may	may	AUX
ejpam-6723	195	17	be	be	AUX
ejpam-6723	195	18	more	more	ADV
ejpam-6723	195	19	sensitive	sensitive	ADJ
ejpam-6723	195	20	to	to	ADP
ejpam-6723	195	21	weak	weak	ADJ
ejpam-6723	195	22	astronomical	astronomical	ADJ
ejpam-6723	195	23	forcing	force	VERB
ejpam-6723	195	24	components	component	NOUN
ejpam-6723	195	25	[	[	X
ejpam-6723	195	26	18	18	NUM
ejpam-6723	195	27	]	]	PUNCT
ejpam-6723	195	28	the	the	DET
ejpam-6723	195	29	transition	transition	NOUN
ejpam-6723	195	30	to	to	ADP
ejpam-6723	195	31	strongly	strongly	ADV
ejpam-6723	195	32	asymmetric	asymmetric	ADJ
ejpam-6723	195	33	behavior	behavior	NOUN
ejpam-6723	195	34	becomes	become	VERB
ejpam-6723	195	35	evident	evident	ADJ
ejpam-6723	195	36	at	at	ADP
ejpam-6723	195	37	β	β	X
ejpam-6723	195	38	=	=	NUM
ejpam-6723	195	39	0.8	0.8	NUM
ejpam-6723	195	40	,	,	PUNCT
ejpam-6723	195	41	where	where	SCONJ
ejpam-6723	195	42	figure	figure	NOUN
ejpam-6723	195	43	7(c	7(c	NOUN
ejpam-6723	195	44	)	)	PUNCT
ejpam-6723	195	45	reveals	reveal	VERB
ejpam-6723	195	46	significantly	significantly	ADV
ejpam-6723	195	47	narrowed	narrow	VERB
ejpam-6723	195	48	arnold	arnold	PROPN
ejpam-6723	195	49	tongues	tongue	NOUN
ejpam-6723	195	50	with	with	ADP
ejpam-6723	195	51	most	most	ADJ
ejpam-6723	195	52	frequency	frequency	NOUN
ejpam-6723	195	53	locking	locking	NOUN
ejpam-6723	195	54	regions	region	NOUN
ejpam-6723	195	55	requiring	require	VERB
ejpam-6723	195	56	a	a	DET
ejpam-6723	195	57	≥	≥	NOUN
ejpam-6723	195	58	1	1	NUM
ejpam-6723	195	59	to	to	PART
ejpam-6723	195	60	initiate	initiate	VERB
ejpam-6723	195	61	.	.	PUNCT
ejpam-6723	196	1	notably	notably	ADV
ejpam-6723	196	2	,	,	PUNCT
ejpam-6723	196	3	one	one	NUM
ejpam-6723	196	4	resilient	resilient	ADJ
ejpam-6723	196	5	region	region	NOUN
ejpam-6723	196	6	persists	persist	VERB
ejpam-6723	196	7	from	from	ADP
ejpam-6723	196	8	a	a	DET
ejpam-6723	196	9	=	=	SYM
ejpam-6723	196	10	0	0	NUM
ejpam-6723	196	11	,	,	PUNCT
ejpam-6723	196	12	indicating	indicate	VERB
ejpam-6723	196	13	that	that	SCONJ
ejpam-6723	196	14	even	even	ADV
ejpam-6723	196	15	in	in	ADP
ejpam-6723	196	16	highly	highly	ADV
ejpam-6723	196	17	asymmetric	asymmetric	ADJ
ejpam-6723	196	18	systems	system	NOUN
ejpam-6723	196	19	,	,	PUNCT
ejpam-6723	196	20	certain	certain	ADJ
ejpam-6723	196	21	synchronization	synchronization	NOUN
ejpam-6723	196	22	modes	mode	NOUN
ejpam-6723	196	23	remain	remain	VERB
ejpam-6723	196	24	accessible	accessible	ADJ
ejpam-6723	196	25	under	under	ADP
ejpam-6723	196	26	weak	weak	ADJ
ejpam-6723	196	27	forcing	force	VERB
ejpam-6723	196	28	conditions	condition	NOUN
ejpam-6723	196	29	.	.	PUNCT
ejpam-6723	197	1	this	this	DET
ejpam-6723	197	2	threshold	threshold	NOUN
ejpam-6723	197	3	effect	effect	NOUN
ejpam-6723	197	4	has	have	VERB
ejpam-6723	197	5	important	important	ADJ
ejpam-6723	197	6	implications	implication	NOUN
ejpam-6723	197	7	for	for	ADP
ejpam-6723	197	8	understanding	understand	VERB
ejpam-6723	197	9	how	how	SCONJ
ejpam-6723	197	10	ice	ice	NOUN
ejpam-6723	197	11	sheet	sheet	NOUN
ejpam-6723	197	12	dynamics	dynamic	NOUN
ejpam-6723	197	13	and	and	CCONJ
ejpam-6723	197	14	climate	climate	NOUN
ejpam-6723	197	15	feedbacks	feedback	NOUN
ejpam-6723	197	16	may	may	AUX
ejpam-6723	197	17	influence	influence	VERB
ejpam-6723	197	18	the	the	DET
ejpam-6723	197	19	system	system	NOUN
ejpam-6723	197	20	’s	’s	PART
ejpam-6723	197	21	response	response	NOUN
ejpam-6723	197	22	to	to	ADP
ejpam-6723	197	23	orbital	orbital	ADJ
ejpam-6723	197	24	forcing	forcing	NOUN
ejpam-6723	197	25	.	.	PUNCT
ejpam-6723	198	1	the	the	DET
ejpam-6723	198	2	most	most	ADV
ejpam-6723	198	3	dramatic	dramatic	ADJ
ejpam-6723	198	4	changes	change	NOUN
ejpam-6723	198	5	occur	occur	VERB
ejpam-6723	198	6	in	in	ADP
ejpam-6723	198	7	the	the	DET
ejpam-6723	198	8	strongly	strongly	ADV
ejpam-6723	198	9	asymmetric	asymmetric	ADJ
ejpam-6723	198	10	regime	regime	NOUN
ejpam-6723	198	11	at	at	ADP
ejpam-6723	198	12	β	β	X
ejpam-6723	198	13	=	=	SYM
ejpam-6723	198	14	1.2	1.2	NUM
ejpam-6723	198	15	,	,	PUNCT
ejpam-6723	198	16	where	where	SCONJ
ejpam-6723	198	17	figure	figure	NOUN
ejpam-6723	198	18	7(d	7(d	NUM
ejpam-6723	198	19	)	)	PUNCT
ejpam-6723	198	20	demonstrates	demonstrate	VERB
ejpam-6723	198	21	severe	severe	ADJ
ejpam-6723	198	22	reduction	reduction	NOUN
ejpam-6723	198	23	in	in	ADP
ejpam-6723	198	24	frequency	frequency	NOUN
ejpam-6723	198	25	locking	locking	NOUN
ejpam-6723	198	26	capabilities	capability	NOUN
ejpam-6723	198	27	.	.	PUNCT
ejpam-6723	199	1	most	most	ADJ
ejpam-6723	199	2	locking	locking	NOUN
ejpam-6723	199	3	regions	region	NOUN
ejpam-6723	199	4	now	now	ADV
ejpam-6723	199	5	require	require	VERB
ejpam-6723	199	6	a	a	DET
ejpam-6723	199	7	≥	≥	NOUN
ejpam-6723	199	8	1.5	1.5	NUM
ejpam-6723	199	9	to	to	PART
ejpam-6723	199	10	initiate	initiate	VERB
ejpam-6723	199	11	,	,	PUNCT
ejpam-6723	199	12	representing	represent	VERB
ejpam-6723	199	13	a	a	DET
ejpam-6723	199	14	substantial	substantial	ADJ
ejpam-6723	199	15	increase	increase	NOUN
ejpam-6723	199	16	in	in	ADP
ejpam-6723	199	17	the	the	DET
ejpam-6723	199	18	forcing	force	VERB
ejpam-6723	199	19	threshold	threshold	NOUN
ejpam-6723	199	20	needed	need	VERB
ejpam-6723	199	21	to	to	PART
ejpam-6723	199	22	achieve	achieve	VERB
ejpam-6723	199	23	synchronization	synchronization	NOUN
ejpam-6723	199	24	.	.	PUNCT
ejpam-6723	200	1	remarkably	remarkably	ADV
ejpam-6723	200	2	,	,	PUNCT
ejpam-6723	200	3	one	one	NUM
ejpam-6723	200	4	wide	wide	ADJ
ejpam-6723	200	5	frequency	frequency	NOUN
ejpam-6723	200	6	locking	locking	NOUN
ejpam-6723	200	7	region	region	NOUN
ejpam-6723	200	8	2:1	2:1	NUM
ejpam-6723	200	9	around	around	ADP
ejpam-6723	200	10	ω	ω	PROPN
ejpam-6723	200	11	≈	≈	PROPN
ejpam-6723	200	12	2	2	NUM
ejpam-6723	200	13	remains	remain	VERB
ejpam-6723	200	14	resilient	resilient	ADJ
ejpam-6723	200	15	from	from	ADP
ejpam-6723	200	16	a	a	DET
ejpam-6723	200	17	=	=	SYM
ejpam-6723	200	18	0	0	NUM
ejpam-6723	200	19	,	,	PUNCT
ejpam-6723	200	20	suggesting	suggest	VERB
ejpam-6723	200	21	this	this	PRON
ejpam-6723	200	22	represents	represent	VERB
ejpam-6723	200	23	the	the	DET
ejpam-6723	200	24	most	most	ADV
ejpam-6723	200	25	robust	robust	ADJ
ejpam-6723	200	26	synchronization	synchronization	NOUN
ejpam-6723	200	27	mode	mode	NOUN
ejpam-6723	200	28	in	in	ADP
ejpam-6723	200	29	highly	highly	ADV
ejpam-6723	200	30	asymmetric	asymmetric	ADJ
ejpam-6723	200	31	systems	system	NOUN
ejpam-6723	200	32	.	.	PUNCT
ejpam-6723	201	1	5.6	5.6	NUM
ejpam-6723	201	2	.	.	PUNCT
ejpam-6723	202	1	physical	physical	ADJ
ejpam-6723	202	2	interpretation	interpretation	NOUN
ejpam-6723	202	3	and	and	CCONJ
ejpam-6723	202	4	climate	climate	NOUN
ejpam-6723	202	5	implications	implication	NOUN
ejpam-6723	202	6	mechanism	mechanism	NOUN
ejpam-6723	202	7	for	for	ADP
ejpam-6723	202	8	arnold	arnold	PROPN
ejpam-6723	202	9	tongue	tongue	NOUN
ejpam-6723	202	10	narrowing	narrowing	NOUN
ejpam-6723	202	11	as	as	ADP
ejpam-6723	202	12	asymmetry	asymmetry	NOUN
ejpam-6723	202	13	β	β	NOUN
ejpam-6723	202	14	increases	increase	NOUN
ejpam-6723	202	15	,	,	PUNCT
ejpam-6723	202	16	folded	fold	VERB
ejpam-6723	202	17	saddle	saddle	NOUN
ejpam-6723	202	18	equilibria	equilibrium	NOUN
ejpam-6723	202	19	shift	shift	VERB
ejpam-6723	202	20	systematically	systematically	ADV
ejpam-6723	202	21	(	(	PUNCT
ejpam-6723	202	22	equations	equation	NOUN
ejpam-6723	202	23	1920	1920	NUM
ejpam-6723	202	24	)	)	PUNCT
ejpam-6723	202	25	,	,	PUNCT
ejpam-6723	202	26	displacing	displace	VERB
ejpam-6723	202	27	bifurcation	bifurcation	NOUN
ejpam-6723	202	28	boundaries	boundary	NOUN
ejpam-6723	202	29	.	.	PUNCT
ejpam-6723	203	1	this	this	PRON
ejpam-6723	203	2	creates	create	VERB
ejpam-6723	203	3	an	an	DET
ejpam-6723	203	4	asymmetric	asymmetric	ADJ
ejpam-6723	203	5	response	response	NOUN
ejpam-6723	203	6	to	to	ADP
ejpam-6723	203	7	orbital	orbital	ADJ
ejpam-6723	203	8	forcing	forcing	NOUN
ejpam-6723	203	9	where	where	SCONJ
ejpam-6723	203	10	glacial	glacial	ADJ
ejpam-6723	203	11	inception	inception	NOUN
ejpam-6723	203	12	becomes	become	VERB
ejpam-6723	203	13	increasingly	increasingly	ADV
ejpam-6723	203	14	sensitive	sensitive	ADJ
ejpam-6723	203	15	to	to	ADP
ejpam-6723	203	16	initial	initial	ADJ
ejpam-6723	203	17	conditions	condition	NOUN
ejpam-6723	203	18	.	.	PUNCT
ejpam-6723	204	1	midpleistocene	midpleistocene	NOUN
ejpam-6723	204	2	transition	transition	NOUN
ejpam-6723	204	3	mechanism	mechanism	NOUN
ejpam-6723	204	4	:	:	PUNCT
ejpam-6723	204	5	our	our	PRON
ejpam-6723	204	6	results	result	NOUN
ejpam-6723	204	7	suggest	suggest	VERB
ejpam-6723	204	8	the	the	DET
ejpam-6723	204	9	41	41	NUM
ejpam-6723	204	10	kyr	kyr	PROPN
ejpam-6723	204	11	→	→	SYM
ejpam-6723	204	12	100	100	NUM
ejpam-6723	204	13	kyr	kyr	PROPN
ejpam-6723	204	14	transition	transition	NOUN
ejpam-6723	204	15	resulted	result	VERB
ejpam-6723	204	16	from	from	ADP
ejpam-6723	204	17	gradual	gradual	ADJ
ejpam-6723	204	18	increase	increase	NOUN
ejpam-6723	204	19	in	in	ADP
ejpam-6723	204	20	climate	climate	NOUN
ejpam-6723	204	21	system	system	NOUN
ejpam-6723	204	22	asymmetry	asymmetry	NOUN
ejpam-6723	204	23	(	(	PUNCT
ejpam-6723	204	24	increasing	increase	VERB
ejpam-6723	204	25	β	β	X
ejpam-6723	204	26	)	)	PUNCT
ejpam-6723	204	27	rather	rather	ADV
ejpam-6723	204	28	than	than	ADP
ejpam-6723	204	29	a	a	DET
ejpam-6723	204	30	threshold	threshold	NOUN
ejpam-6723	204	31	effect	effect	NOUN
ejpam-6723	204	32	.	.	PUNCT
ejpam-6723	205	1	as	as	SCONJ
ejpam-6723	205	2	β	β	PRON
ejpam-6723	205	3	approached	approach	VERB
ejpam-6723	205	4	0.8	0.8	NUM
ejpam-6723	205	5	-	-	SYM
ejpam-6723	205	6	1.0	1.0	NUM
ejpam-6723	205	7	,	,	PUNCT
ejpam-6723	205	8	the	the	DET
ejpam-6723	205	9	2:1	2:1	NUM
ejpam-6723	205	10	frequency	frequency	NOUN
ejpam-6723	205	11	locking	locking	NOUN
ejpam-6723	205	12	region	region	NOUN
ejpam-6723	205	13	(	(	PUNCT
ejpam-6723	205	14	41	41	NUM
ejpam-6723	205	15	kyr	kyr	PROPN
ejpam-6723	205	16	response	response	NOUN
ejpam-6723	205	17	to	to	ADP
ejpam-6723	205	18	20.5	20.5	NUM
ejpam-6723	205	19	kyr	kyr	PROPN
ejpam-6723	205	20	precession	precession	NOUN
ejpam-6723	205	21	)	)	PUNCT
ejpam-6723	205	22	destabilized	destabilize	VERB
ejpam-6723	205	23	,	,	PUNCT
ejpam-6723	205	24	allowing	allow	VERB
ejpam-6723	205	25	1:1	1:1	NUM
ejpam-6723	205	26	eccentricity	eccentricity	NOUN
ejpam-6723	205	27	locking	locking	NOUN
ejpam-6723	205	28	(	(	PUNCT
ejpam-6723	205	29	100	100	NUM
ejpam-6723	205	30	kyr	kyr	PROPN
ejpam-6723	205	31	)	)	PUNCT
ejpam-6723	205	32	i	i	PRON
ejpam-6723	205	33	alraddadi	alraddadi	VERB
ejpam-6723	205	34	al	al	PROPN
ejpam-6723	205	35	/	/	PUNCT
ejpam-6723	205	36	eur	eur	PROPN
ejpam-6723	205	37	.	.	PUNCT
ejpam-6723	206	1	j.	j.	PROPN
ejpam-6723	206	2	pure	pure	PROPN
ejpam-6723	206	3	appl	appl	PROPN
ejpam-6723	206	4	.	.	PROPN
ejpam-6723	206	5	math	math	PROPN
ejpam-6723	206	6	,	,	PUNCT
ejpam-6723	206	7	18	18	NUM
ejpam-6723	206	8	(	(	PUNCT
ejpam-6723	206	9	4	4	NUM
ejpam-6723	206	10	)	)	PUNCT
ejpam-6723	206	11	(	(	PUNCT
ejpam-6723	206	12	2025	2025	NUM
ejpam-6723	206	13	)	)	PUNCT
ejpam-6723	206	14	,	,	PUNCT
ejpam-6723	206	15	6723	6723	NUM
ejpam-6723	206	16	16	16	NUM
ejpam-6723	206	17	of	of	ADP
ejpam-6723	206	18	20	20	NUM
ejpam-6723	206	19	to	to	PART
ejpam-6723	206	20	dominate	dominate	VERB
ejpam-6723	206	21	.	.	PUNCT
ejpam-6723	207	1	6	6	X
ejpam-6723	207	2	.	.	X
ejpam-6723	207	3	conclusion	conclusion	NOUN
ejpam-6723	207	4	this	this	DET
ejpam-6723	207	5	study	study	NOUN
ejpam-6723	207	6	has	have	AUX
ejpam-6723	207	7	revealed	reveal	VERB
ejpam-6723	207	8	fundamental	fundamental	ADJ
ejpam-6723	207	9	new	new	ADJ
ejpam-6723	207	10	insights	insight	NOUN
ejpam-6723	207	11	into	into	ADP
ejpam-6723	207	12	the	the	DET
ejpam-6723	207	13	dynamical	dynamical	ADJ
ejpam-6723	207	14	behavior	behavior	NOUN
ejpam-6723	207	15	of	of	ADP
ejpam-6723	207	16	the	the	DET
ejpam-6723	207	17	van	van	PROPN
ejpam-6723	207	18	der	der	PROPN
ejpam-6723	207	19	pol	pol	PROPN
ejpam-6723	207	20	-	-	PUNCT
ejpam-6723	207	21	duffing	duffe	VERB
ejpam-6723	207	22	oscillator	oscillator	NOUN
ejpam-6723	207	23	through	through	ADP
ejpam-6723	207	24	comprehensive	comprehensive	ADJ
ejpam-6723	207	25	numerical	numerical	ADJ
ejpam-6723	207	26	analysis	analysis	NOUN
ejpam-6723	207	27	of	of	ADP
ejpam-6723	207	28	poincaré	poincaré	ADJ
ejpam-6723	207	29	return	return	NOUN
ejpam-6723	207	30	maps	map	NOUN
ejpam-6723	207	31	and	and	CCONJ
ejpam-6723	207	32	arnold	arnold	PROPN
ejpam-6723	207	33	tongue	tongue	PROPN
ejpam-6723	207	34	structures	structure	NOUN
ejpam-6723	207	35	.	.	PUNCT
ejpam-6723	208	1	our	our	PRON
ejpam-6723	208	2	numerical	numerical	ADJ
ejpam-6723	208	3	results	result	NOUN
ejpam-6723	208	4	demonstrate	demonstrate	VERB
ejpam-6723	208	5	that	that	SCONJ
ejpam-6723	208	6	the	the	DET
ejpam-6723	208	7	forcing	force	VERB
ejpam-6723	208	8	amplitude	amplitude	NOUN
ejpam-6723	208	9	parameter	parameter	NOUN
ejpam-6723	208	10	a	a	DET
ejpam-6723	208	11	serves	serve	NOUN
ejpam-6723	208	12	as	as	ADP
ejpam-6723	208	13	a	a	DET
ejpam-6723	208	14	critical	critical	ADJ
ejpam-6723	208	15	bifurcation	bifurcation	NOUN
ejpam-6723	208	16	parameter	parameter	NOUN
ejpam-6723	208	17	,	,	PUNCT
ejpam-6723	208	18	producing	produce	VERB
ejpam-6723	208	19	a	a	DET
ejpam-6723	208	20	dramatic	dramatic	ADJ
ejpam-6723	208	21	structural	structural	ADJ
ejpam-6723	208	22	transition	transition	NOUN
ejpam-6723	208	23	in	in	ADP
ejpam-6723	208	24	return	return	NOUN
ejpam-6723	208	25	map	map	NOUN
ejpam-6723	208	26	behavior	behavior	NOUN
ejpam-6723	208	27	:	:	PUNCT
ejpam-6723	208	28	for	for	ADP
ejpam-6723	208	29	a	a	DET
ejpam-6723	208	30	<	<	X
ejpam-6723	208	31	1	1	NUM
ejpam-6723	208	32	,	,	PUNCT
ejpam-6723	208	33	we	we	PRON
ejpam-6723	208	34	obtained	obtain	VERB
ejpam-6723	208	35	smooth	smooth	ADJ
ejpam-6723	208	36	,	,	PUNCT
ejpam-6723	208	37	invertible	invertible	ADJ
ejpam-6723	208	38	circle	circle	NOUN
ejpam-6723	208	39	maps	map	NOUN
ejpam-6723	208	40	with	with	ADP
ejpam-6723	208	41	monotonic	monotonic	ADJ
ejpam-6723	208	42	structure	structure	NOUN
ejpam-6723	208	43	that	that	PRON
ejpam-6723	208	44	preserve	preserve	VERB
ejpam-6723	208	45	topological	topological	ADJ
ejpam-6723	208	46	properties	property	NOUN
ejpam-6723	208	47	and	and	CCONJ
ejpam-6723	208	48	exhibit	exhibit	VERB
ejpam-6723	208	49	quasiperiodic	quasiperiodic	ADJ
ejpam-6723	208	50	dynamics	dynamic	NOUN
ejpam-6723	208	51	or	or	CCONJ
ejpam-6723	208	52	simple	simple	ADJ
ejpam-6723	208	53	periodic	periodic	ADJ
ejpam-6723	208	54	orbits	orbit	NOUN
ejpam-6723	208	55	,	,	PUNCT
ejpam-6723	208	56	while	while	SCONJ
ejpam-6723	208	57	for	for	ADP
ejpam-6723	208	58	a	a	DET
ejpam-6723	208	59	>	>	SYM
ejpam-6723	208	60	1	1	NUM
ejpam-6723	208	61	,	,	PUNCT
ejpam-6723	208	62	the	the	DET
ejpam-6723	208	63	return	return	NOUN
ejpam-6723	208	64	maps	map	NOUN
ejpam-6723	208	65	develop	develop	VERB
ejpam-6723	208	66	discontinuities	discontinuity	NOUN
ejpam-6723	208	67	and	and	CCONJ
ejpam-6723	208	68	gap	gap	NOUN
ejpam-6723	208	69	regions	region	NOUN
ejpam-6723	208	70	arising	arise	VERB
ejpam-6723	208	71	from	from	ADP
ejpam-6723	208	72	folded	fold	VERB
ejpam-6723	208	73	saddle	saddle	NOUN
ejpam-6723	208	74	equilibria	equilibrium	NOUN
ejpam-6723	208	75	that	that	PRON
ejpam-6723	208	76	trap	trap	VERB
ejpam-6723	208	77	trajectories	trajectory	NOUN
ejpam-6723	208	78	and	and	CCONJ
ejpam-6723	208	79	prevent	prevent	VERB
ejpam-6723	208	80	complete	complete	ADJ
ejpam-6723	208	81	orbit	orbit	NOUN
ejpam-6723	208	82	closure	closure	NOUN
ejpam-6723	208	83	,	,	PUNCT
ejpam-6723	208	84	leading	lead	VERB
ejpam-6723	208	85	to	to	ADP
ejpam-6723	208	86	non	non	ADJ
ejpam-6723	208	87	-	-	ADJ
ejpam-6723	208	88	invertible	invertible	ADJ
ejpam-6723	208	89	maps	map	NOUN
ejpam-6723	208	90	capable	capable	ADJ
ejpam-6723	208	91	of	of	ADP
ejpam-6723	208	92	complex	complex	ADJ
ejpam-6723	208	93	bifurcation	bifurcation	NOUN
ejpam-6723	208	94	cascades	cascade	NOUN
ejpam-6723	208	95	and	and	CCONJ
ejpam-6723	208	96	chaotic	chaotic	ADJ
ejpam-6723	208	97	dynamics	dynamic	NOUN
ejpam-6723	208	98	.	.	PUNCT
ejpam-6723	209	1	most	most	ADV
ejpam-6723	209	2	significantly	significantly	ADV
ejpam-6723	209	3	,	,	PUNCT
ejpam-6723	209	4	our	our	PRON
ejpam-6723	209	5	systematic	systematic	ADJ
ejpam-6723	209	6	investigation	investigation	NOUN
ejpam-6723	209	7	of	of	ADP
ejpam-6723	209	8	the	the	DET
ejpam-6723	209	9	asymmetry	asymmetry	NOUN
ejpam-6723	209	10	parameter	parameter	NOUN
ejpam-6723	209	11	β	β	PROPN
ejpam-6723	209	12	revealed	reveal	VERB
ejpam-6723	209	13	a	a	DET
ejpam-6723	209	14	progressive	progressive	ADJ
ejpam-6723	209	15	deterioration	deterioration	NOUN
ejpam-6723	209	16	of	of	ADP
ejpam-6723	209	17	frequency	frequency	NOUN
ejpam-6723	209	18	locking	locking	NOUN
ejpam-6723	209	19	capabilities	capability	NOUN
ejpam-6723	209	20	as	as	ADP
ejpam-6723	209	21	β	β	X
ejpam-6723	209	22	increases	increase	NOUN
ejpam-6723	209	23	from	from	ADP
ejpam-6723	209	24	0	0	NUM
ejpam-6723	209	25	to	to	ADP
ejpam-6723	209	26	1.2	1.2	NUM
ejpam-6723	209	27	.	.	PUNCT
ejpam-6723	210	1	for	for	ADP
ejpam-6723	210	2	the	the	DET
ejpam-6723	210	3	near	near	ADJ
ejpam-6723	210	4	-	-	PUNCT
ejpam-6723	210	5	symmetric	symmetric	NOUN
ejpam-6723	210	6	case	case	NOUN
ejpam-6723	210	7	(	(	PUNCT
ejpam-6723	210	8	β	β	X
ejpam-6723	210	9	=	=	NOUN
ejpam-6723	210	10	0.25	0.25	NUM
ejpam-6723	210	11	)	)	PUNCT
ejpam-6723	210	12	,	,	PUNCT
ejpam-6723	210	13	we	we	PRON
ejpam-6723	210	14	found	find	VERB
ejpam-6723	210	15	robust	robust	ADJ
ejpam-6723	210	16	wide	wide	ADJ
ejpam-6723	210	17	frequency	frequency	NOUN
ejpam-6723	210	18	locking	locking	NOUN
ejpam-6723	210	19	regions	region	NOUN
ejpam-6723	210	20	around	around	ADP
ejpam-6723	210	21	ω	ω	PROPN
ejpam-6723	210	22	=	=	SYM
ejpam-6723	210	23	1	1	NUM
ejpam-6723	210	24	and	and	CCONJ
ejpam-6723	210	25	ω	ω	NUM
ejpam-6723	210	26	=	=	SYM
ejpam-6723	210	27	4	4	NUM
ejpam-6723	210	28	supporting	support	VERB
ejpam-6723	210	29	period-2	period-2	NUM
ejpam-6723	210	30	,	,	PUNCT
ejpam-6723	210	31	period-3	period-3	NUM
ejpam-6723	210	32	,	,	PUNCT
ejpam-6723	210	33	period-4	period-4	NUM
ejpam-6723	210	34	,	,	PUNCT
ejpam-6723	210	35	and	and	CCONJ
ejpam-6723	210	36	period-8	period-8	NUM
ejpam-6723	210	37	structures	structure	NOUN
ejpam-6723	210	38	across	across	ADP
ejpam-6723	210	39	broad	broad	ADJ
ejpam-6723	210	40	parameter	parameter	NOUN
ejpam-6723	210	41	ranges	range	NOUN
ejpam-6723	210	42	.	.	PUNCT
ejpam-6723	211	1	at	at	ADP
ejpam-6723	211	2	moderate	moderate	ADJ
ejpam-6723	211	3	asymmetry	asymmetry	NOUN
ejpam-6723	211	4	(	(	PUNCT
ejpam-6723	211	5	β	β	X
ejpam-6723	211	6	=	=	NUM
ejpam-6723	211	7	0.5	0.5	NUM
ejpam-6723	211	8	)	)	PUNCT
ejpam-6723	211	9	,	,	PUNCT
ejpam-6723	211	10	the	the	DET
ejpam-6723	211	11	system	system	NOUN
ejpam-6723	211	12	consolidated	consolidate	VERB
ejpam-6723	211	13	into	into	ADP
ejpam-6723	211	14	a	a	DET
ejpam-6723	211	15	single	single	ADJ
ejpam-6723	211	16	dominant	dominant	ADJ
ejpam-6723	211	17	wide	wide	ADJ
ejpam-6723	211	18	locking	locking	NOUN
ejpam-6723	211	19	region	region	NOUN
ejpam-6723	211	20	around	around	ADP
ejpam-6723	211	21	ω	ω	PROPN
ejpam-6723	211	22	=	=	SYM
ejpam-6723	211	23	1	1	NUM
ejpam-6723	211	24	,	,	PUNCT
ejpam-6723	211	25	particularly	particularly	ADV
ejpam-6723	211	26	prominent	prominent	ADJ
ejpam-6723	211	27	for	for	ADP
ejpam-6723	211	28	small	small	ADJ
ejpam-6723	211	29	forcing	force	VERB
ejpam-6723	211	30	amplitudes	amplitude	NOUN
ejpam-6723	211	31	.	.	PUNCT
ejpam-6723	212	1	the	the	DET
ejpam-6723	212	2	critical	critical	ADJ
ejpam-6723	212	3	transition	transition	NOUN
ejpam-6723	212	4	occurred	occur	VERB
ejpam-6723	212	5	at	at	ADP
ejpam-6723	212	6	β	β	X
ejpam-6723	212	7	=	=	PUNCT
ejpam-6723	212	8	0.8	0.8	NUM
ejpam-6723	212	9	,	,	PUNCT
ejpam-6723	212	10	where	where	SCONJ
ejpam-6723	212	11	arnold	arnold	PROPN
ejpam-6723	212	12	tongues	tongue	NOUN
ejpam-6723	212	13	became	become	VERB
ejpam-6723	212	14	significantly	significantly	ADV
ejpam-6723	212	15	narrower	narrow	ADJ
ejpam-6723	212	16	with	with	ADP
ejpam-6723	212	17	most	most	ADJ
ejpam-6723	212	18	frequency	frequency	NOUN
ejpam-6723	212	19	locking	locking	NOUN
ejpam-6723	212	20	regions	region	NOUN
ejpam-6723	212	21	requiring	require	VERB
ejpam-6723	212	22	a	a	DET
ejpam-6723	212	23	≥	≥	NOUN
ejpam-6723	212	24	1	1	NUM
ejpam-6723	212	25	to	to	PART
ejpam-6723	212	26	initiate	initiate	VERB
ejpam-6723	212	27	,	,	PUNCT
ejpam-6723	212	28	though	though	SCONJ
ejpam-6723	212	29	one	one	NUM
ejpam-6723	212	30	resilient	resilient	ADJ
ejpam-6723	212	31	2	2	NUM
ejpam-6723	212	32	:	:	SYM
ejpam-6723	212	33	1	1	NUM
ejpam-6723	212	34	region	region	NOUN
ejpam-6723	212	35	persisted	persist	VERB
ejpam-6723	212	36	from	from	ADP
ejpam-6723	212	37	a	a	DET
ejpam-6723	212	38	=	=	NOUN
ejpam-6723	212	39	0	0	NUM
ejpam-6723	212	40	.	.	PUNCT
ejpam-6723	213	1	in	in	ADP
ejpam-6723	213	2	the	the	DET
ejpam-6723	213	3	strongly	strongly	ADV
ejpam-6723	213	4	asymmetric	asymmetric	ADJ
ejpam-6723	213	5	regime	regime	NOUN
ejpam-6723	213	6	(	(	PUNCT
ejpam-6723	213	7	β	β	X
ejpam-6723	213	8	=	=	NOUN
ejpam-6723	213	9	1.2	1.2	NUM
ejpam-6723	213	10	)	)	PUNCT
ejpam-6723	213	11	,	,	PUNCT
ejpam-6723	213	12	we	we	PRON
ejpam-6723	213	13	observed	observe	VERB
ejpam-6723	213	14	severe	severe	ADJ
ejpam-6723	213	15	reduction	reduction	NOUN
ejpam-6723	213	16	in	in	ADP
ejpam-6723	213	17	frequency	frequency	NOUN
ejpam-6723	213	18	locking	locking	NOUN
ejpam-6723	213	19	capabilities	capability	NOUN
ejpam-6723	213	20	with	with	ADP
ejpam-6723	213	21	most	most	ADJ
ejpam-6723	213	22	locking	locking	ADJ
ejpam-6723	213	23	regions	region	NOUN
ejpam-6723	213	24	requiring	require	VERB
ejpam-6723	213	25	a	a	DET
ejpam-6723	213	26	≥	≥	NOUN
ejpam-6723	213	27	1.5	1.5	NUM
ejpam-6723	213	28	to	to	PART
ejpam-6723	213	29	initiate	initiate	VERB
ejpam-6723	213	30	,	,	PUNCT
ejpam-6723	213	31	while	while	SCONJ
ejpam-6723	213	32	remarkably	remarkably	ADV
ejpam-6723	213	33	,	,	PUNCT
ejpam-6723	213	34	one	one	NUM
ejpam-6723	213	35	wide	wide	ADJ
ejpam-6723	213	36	2	2	NUM
ejpam-6723	213	37	:	:	SYM
ejpam-6723	213	38	1	1	NUM
ejpam-6723	213	39	frequency	frequency	NOUN
ejpam-6723	213	40	locking	locking	NOUN
ejpam-6723	213	41	region	region	NOUN
ejpam-6723	213	42	around	around	ADP
ejpam-6723	213	43	ω	ω	PROPN
ejpam-6723	213	44	≈	≈	PROPN
ejpam-6723	213	45	2	2	NUM
ejpam-6723	213	46	remained	remain	VERB
ejpam-6723	213	47	resilient	resilient	ADJ
ejpam-6723	213	48	from	from	ADP
ejpam-6723	213	49	a	a	DET
ejpam-6723	213	50	=	=	SYM
ejpam-6723	213	51	0	0	NUM
ejpam-6723	213	52	,	,	PUNCT
ejpam-6723	213	53	representing	represent	VERB
ejpam-6723	213	54	the	the	DET
ejpam-6723	213	55	most	most	ADV
ejpam-6723	213	56	robust	robust	ADJ
ejpam-6723	213	57	synchronization	synchronization	NOUN
ejpam-6723	213	58	mode	mode	NOUN
ejpam-6723	213	59	in	in	ADP
ejpam-6723	213	60	highly	highly	ADV
ejpam-6723	213	61	asymmetric	asymmetric	ADJ
ejpam-6723	213	62	systems	system	NOUN
ejpam-6723	213	63	.	.	PUNCT
ejpam-6723	214	1	our	our	PRON
ejpam-6723	214	2	saddle	saddle	NOUN
ejpam-6723	214	3	-	-	PUNCT
ejpam-6723	214	4	node	node	NOUN
ejpam-6723	214	5	bifurcation	bifurcation	NOUN
ejpam-6723	214	6	analysis	analysis	NOUN
ejpam-6723	214	7	revealed	reveal	VERB
ejpam-6723	214	8	that	that	SCONJ
ejpam-6723	214	9	these	these	DET
ejpam-6723	214	10	structural	structural	ADJ
ejpam-6723	214	11	changes	change	NOUN
ejpam-6723	214	12	occur	occur	VERB
ejpam-6723	214	13	through	through	ADP
ejpam-6723	214	14	systematic	systematic	ADJ
ejpam-6723	214	15	displacement	displacement	NOUN
ejpam-6723	214	16	of	of	ADP
ejpam-6723	214	17	arnold	arnold	PROPN
ejpam-6723	214	18	tongue	tongue	PROPN
ejpam-6723	214	19	boundaries	boundary	NOUN
ejpam-6723	214	20	according	accord	VERB
ejpam-6723	214	21	to	to	ADP
ejpam-6723	214	22	folded	fold	VERB
ejpam-6723	214	23	singularity	singularity	NOUN
ejpam-6723	214	24	conditions	condition	NOUN
ejpam-6723	214	25	,	,	PUNCT
ejpam-6723	214	26	providing	provide	VERB
ejpam-6723	214	27	the	the	DET
ejpam-6723	214	28	mechanism	mechanism	NOUN
ejpam-6723	214	29	for	for	ADP
ejpam-6723	214	30	frequency	frequency	NOUN
ejpam-6723	214	31	transitions	transition	NOUN
ejpam-6723	214	32	observed	observe	VERB
ejpam-6723	214	33	during	during	ADP
ejpam-6723	214	34	major	major	ADJ
ejpam-6723	214	35	climate	climate	NOUN
ejpam-6723	214	36	transitions	transition	NOUN
ejpam-6723	214	37	.	.	PUNCT
ejpam-6723	215	1	the	the	DET
ejpam-6723	215	2	numerical	numerical	ADJ
ejpam-6723	215	3	evidence	evidence	NOUN
ejpam-6723	215	4	shows	show	VERB
ejpam-6723	215	5	that	that	SCONJ
ejpam-6723	215	6	while	while	SCONJ
ejpam-6723	215	7	individual	individual	ADJ
ejpam-6723	215	8	arnold	arnold	PROPN
ejpam-6723	215	9	tongues	tongue	NOUN
ejpam-6723	215	10	become	become	VERB
ejpam-6723	215	11	progressively	progressively	ADV
ejpam-6723	215	12	narrower	narrow	ADJ
ejpam-6723	215	13	with	with	ADP
ejpam-6723	215	14	increasing	increase	VERB
ejpam-6723	215	15	asymmetry	asymmetry	NOUN
ejpam-6723	215	16	,	,	PUNCT
ejpam-6723	215	17	the	the	DET
ejpam-6723	215	18	overall	overall	ADJ
ejpam-6723	215	19	parameter	parameter	NOUN
ejpam-6723	215	20	space	space	NOUN
ejpam-6723	215	21	covered	cover	VERB
ejpam-6723	215	22	by	by	ADP
ejpam-6723	215	23	chaotic	chaotic	ADJ
ejpam-6723	215	24	regions	region	NOUN
ejpam-6723	215	25	increases	increase	VERB
ejpam-6723	215	26	substantially	substantially	ADV
ejpam-6723	215	27	,	,	PUNCT
ejpam-6723	215	28	offering	offer	VERB
ejpam-6723	215	29	a	a	DET
ejpam-6723	215	30	more	more	ADV
ejpam-6723	215	31	realistic	realistic	ADJ
ejpam-6723	215	32	representation	representation	NOUN
ejpam-6723	215	33	of	of	ADP
ejpam-6723	215	34	the	the	DET
ejpam-6723	215	35	irregular	irregular	ADJ
ejpam-6723	215	36	timing	timing	NOUN
ejpam-6723	215	37	variations	variation	NOUN
ejpam-6723	215	38	observed	observe	VERB
ejpam-6723	215	39	in	in	ADP
ejpam-6723	215	40	paleoclimate	paleoclimate	NOUN
ejpam-6723	215	41	records	record	NOUN
ejpam-6723	215	42	and	and	CCONJ
ejpam-6723	215	43	establishing	establish	VERB
ejpam-6723	215	44	enhanced	enhance	VERB
ejpam-6723	215	45	chaotic	chaotic	ADJ
ejpam-6723	215	46	behavior	behavior	NOUN
ejpam-6723	215	47	as	as	ADP
ejpam-6723	215	48	a	a	DET
ejpam-6723	215	49	distinguishing	distinguish	VERB
ejpam-6723	215	50	feature	feature	NOUN
ejpam-6723	215	51	of	of	ADP
ejpam-6723	215	52	asymmetric	asymmetric	ADJ
ejpam-6723	215	53	van	van	PROPN
ejpam-6723	215	54	der	der	ADJ
ejpam-6723	215	55	pol	pol	PROPN
ejpam-6723	215	56	-	-	PUNCT
ejpam-6723	215	57	duffing	duffe	VERB
ejpam-6723	215	58	systems	system	NOUN
ejpam-6723	215	59	compared	compare	VERB
ejpam-6723	215	60	to	to	ADP
ejpam-6723	215	61	their	their	PRON
ejpam-6723	215	62	symmetric	symmetric	ADJ
ejpam-6723	215	63	counterparts	counterpart	NOUN
ejpam-6723	215	64	.	.	PUNCT
ejpam-6723	216	1	future	future	ADJ
ejpam-6723	216	2	research	research	NOUN
ejpam-6723	216	3	directions	direction	NOUN
ejpam-6723	216	4	should	should	AUX
ejpam-6723	216	5	focus	focus	VERB
ejpam-6723	216	6	on	on	ADP
ejpam-6723	216	7	several	several	ADJ
ejpam-6723	216	8	key	key	ADJ
ejpam-6723	216	9	areas	area	NOUN
ejpam-6723	216	10	to	to	PART
ejpam-6723	216	11	extend	extend	VERB
ejpam-6723	216	12	the	the	DET
ejpam-6723	216	13	asymmetric	asymmetric	ADJ
ejpam-6723	216	14	van	van	PROPN
ejpam-6723	216	15	der	der	ADJ
ejpam-6723	216	16	pol	pol	PROPN
ejpam-6723	216	17	-	-	PUNCT
ejpam-6723	216	18	duffing	duffe	VERB
ejpam-6723	216	19	framework	framework	NOUN
ejpam-6723	216	20	.	.	PUNCT
ejpam-6723	217	1	first	first	ADV
ejpam-6723	217	2	,	,	PUNCT
ejpam-6723	217	3	incorporating	incorporate	VERB
ejpam-6723	217	4	stochastic	stochastic	ADJ
ejpam-6723	217	5	perturbations	perturbation	NOUN
ejpam-6723	217	6	representing	represent	VERB
ejpam-6723	217	7	high	high	ADJ
ejpam-6723	217	8	-	-	PUNCT
ejpam-6723	217	9	frequency	frequency	NOUN
ejpam-6723	217	10	climate	climate	NOUN
ejpam-6723	217	11	variability	variability	NOUN
ejpam-6723	217	12	could	could	AUX
ejpam-6723	217	13	provide	provide	VERB
ejpam-6723	217	14	more	more	ADV
ejpam-6723	217	15	realistic	realistic	ADJ
ejpam-6723	217	16	ensemble	ensemble	ADJ
ejpam-6723	217	17	forecasts	forecast	NOUN
ejpam-6723	217	18	and	and	CCONJ
ejpam-6723	217	19	better	well	ADJ
ejpam-6723	217	20	uncertainty	uncertainty	NOUN
ejpam-6723	217	21	quantification	quantification	NOUN
ejpam-6723	217	22	.	.	PUNCT
ejpam-6723	218	1	second	second	ADJ
ejpam-6723	218	2	,	,	PUNCT
ejpam-6723	218	3	coupling	couple	VERB
ejpam-6723	218	4	multiple	multiple	ADJ
ejpam-6723	218	5	oscillators	oscillator	NOUN
ejpam-6723	218	6	with	with	ADP
ejpam-6723	218	7	different	different	ADJ
ejpam-6723	218	8	timescales	timescale	NOUN
ejpam-6723	218	9	could	could	AUX
ejpam-6723	218	10	capture	capture	VERB
ejpam-6723	218	11	the	the	DET
ejpam-6723	218	12	interaction	interaction	NOUN
ejpam-6723	218	13	between	between	ADP
ejpam-6723	218	14	orbital	orbital	ADJ
ejpam-6723	218	15	forcing	forcing	NOUN
ejpam-6723	218	16	,	,	PUNCT
ejpam-6723	218	17	ice	ice	NOUN
ejpam-6723	218	18	sheet	sheet	NOUN
ejpam-6723	218	19	dynamics	dynamic	NOUN
ejpam-6723	218	20	,	,	PUNCT
ejpam-6723	218	21	and	and	CCONJ
ejpam-6723	218	22	atmospheric	atmospheric	ADJ
ejpam-6723	218	23	composition	composition	NOUN
ejpam-6723	218	24	changes	change	NOUN
ejpam-6723	218	25	.	.	PUNCT
ejpam-6723	219	1	third	third	ADJ
ejpam-6723	219	2	,	,	PUNCT
ejpam-6723	219	3	systematic	systematic	ADJ
ejpam-6723	219	4	parameter	parameter	NOUN
ejpam-6723	219	5	estimation	estimation	NOUN
ejpam-6723	219	6	from	from	ADP
ejpam-6723	219	7	highresolution	highresolution	NOUN
ejpam-6723	219	8	paleoclimate	paleoclimate	NOUN
ejpam-6723	219	9	records	record	NOUN
ejpam-6723	219	10	would	would	AUX
ejpam-6723	219	11	improve	improve	VERB
ejpam-6723	219	12	model	model	NOUN
ejpam-6723	219	13	calibration	calibration	NOUN
ejpam-6723	219	14	and	and	CCONJ
ejpam-6723	219	15	validation	validation	NOUN
ejpam-6723	219	16	.	.	PUNCT
ejpam-6723	220	1	fourth	fourth	ADJ
ejpam-6723	220	2	,	,	PUNCT
ejpam-6723	220	3	i	i	PRON
ejpam-6723	220	4	alraddadi	alraddadi	VERB
ejpam-6723	220	5	al	al	PROPN
ejpam-6723	220	6	/	/	PUNCT
ejpam-6723	220	7	eur	eur	PROPN
ejpam-6723	220	8	.	.	PUNCT
ejpam-6723	221	1	j.	j.	PROPN
ejpam-6723	221	2	pure	pure	PROPN
ejpam-6723	221	3	appl	appl	PROPN
ejpam-6723	221	4	.	.	PROPN
ejpam-6723	221	5	math	math	PROPN
ejpam-6723	221	6	,	,	PUNCT
ejpam-6723	221	7	18	18	NUM
ejpam-6723	221	8	(	(	PUNCT
ejpam-6723	221	9	4	4	NUM
ejpam-6723	221	10	)	)	PUNCT
ejpam-6723	221	11	(	(	PUNCT
ejpam-6723	221	12	2025	2025	NUM
ejpam-6723	221	13	)	)	PUNCT
ejpam-6723	221	14	,	,	PUNCT
ejpam-6723	221	15	6723	6723	NUM
ejpam-6723	221	16	17	17	NUM
ejpam-6723	221	17	of	of	ADP
ejpam-6723	221	18	20	20	NUM
ejpam-6723	221	19	developing	develop	VERB
ejpam-6723	221	20	hybrid	hybrid	ADJ
ejpam-6723	221	21	approaches	approach	NOUN
ejpam-6723	221	22	that	that	PRON
ejpam-6723	221	23	combine	combine	VERB
ejpam-6723	221	24	low	low	ADJ
ejpam-6723	221	25	-	-	PUNCT
ejpam-6723	221	26	dimensional	dimensional	ADJ
ejpam-6723	221	27	conceptual	conceptual	ADJ
ejpam-6723	221	28	models	model	NOUN
ejpam-6723	221	29	with	with	ADP
ejpam-6723	221	30	detailed	detailed	ADJ
ejpam-6723	221	31	earth	earth	NOUN
ejpam-6723	221	32	system	system	NOUN
ejpam-6723	221	33	components	component	NOUN
ejpam-6723	221	34	could	could	AUX
ejpam-6723	221	35	bridge	bridge	VERB
ejpam-6723	221	36	the	the	DET
ejpam-6723	221	37	gap	gap	NOUN
ejpam-6723	221	38	between	between	ADP
ejpam-6723	221	39	mathematical	mathematical	ADJ
ejpam-6723	221	40	tractability	tractability	NOUN
ejpam-6723	221	41	and	and	CCONJ
ejpam-6723	221	42	physical	physical	ADJ
ejpam-6723	221	43	realism	realism	NOUN
ejpam-6723	221	44	.	.	PUNCT
ejpam-6723	222	1	finally	finally	ADV
ejpam-6723	222	2	,	,	PUNCT
ejpam-6723	222	3	extending	extend	VERB
ejpam-6723	222	4	the	the	DET
ejpam-6723	222	5	framework	framework	NOUN
ejpam-6723	222	6	to	to	ADP
ejpam-6723	222	7	other	other	ADJ
ejpam-6723	222	8	earth	earth	NOUN
ejpam-6723	222	9	system	system	NOUN
ejpam-6723	222	10	oscillations	oscillation	NOUN
ejpam-6723	222	11	such	such	ADJ
ejpam-6723	222	12	as	as	ADP
ejpam-6723	222	13	monsoon	monsoon	NOUN
ejpam-6723	222	14	variability	variability	NOUN
ejpam-6723	222	15	and	and	CCONJ
ejpam-6723	222	16	ocean	ocean	NOUN
ejpam-6723	222	17	circulation	circulation	NOUN
ejpam-6723	222	18	patterns	pattern	NOUN
ejpam-6723	222	19	could	could	AUX
ejpam-6723	222	20	demonstrate	demonstrate	VERB
ejpam-6723	222	21	the	the	DET
ejpam-6723	222	22	broader	broad	ADJ
ejpam-6723	222	23	applicability	applicability	NOUN
ejpam-6723	222	24	of	of	ADP
ejpam-6723	222	25	these	these	DET
ejpam-6723	222	26	nonlinear	nonlinear	ADJ
ejpam-6723	222	27	dynamics	dynamic	NOUN
ejpam-6723	222	28	principles	principle	NOUN
ejpam-6723	222	29	.	.	PUNCT
ejpam-6723	223	1	our	our	PRON
ejpam-6723	223	2	two	two	NUM
ejpam-6723	223	3	-	-	PUNCT
ejpam-6723	223	4	variable	variable	NOUN
ejpam-6723	223	5	oscillator	oscillator	NOUN
ejpam-6723	223	6	can	can	AUX
ejpam-6723	223	7	not	not	PART
ejpam-6723	223	8	capture	capture	VERB
ejpam-6723	223	9	ice	ice	NOUN
ejpam-6723	223	10	sheet	sheet	NOUN
ejpam-6723	223	11	-	-	PUNCT
ejpam-6723	223	12	atmosphere	atmosphere	NOUN
ejpam-6723	223	13	-	-	PUNCT
ejpam-6723	223	14	ocean	ocean	NOUN
ejpam-6723	223	15	interactions	interaction	NOUN
ejpam-6723	223	16	explicitly	explicitly	ADV
ejpam-6723	223	17	,	,	PUNCT
ejpam-6723	223	18	requiring	require	VERB
ejpam-6723	223	19	parameterization	parameterization	NOUN
ejpam-6723	223	20	through	through	ADP
ejpam-6723	223	21	effective	effective	ADJ
ejpam-6723	223	22	forcing	force	VERB
ejpam-6723	223	23	terms	term	NOUN
ejpam-6723	223	24	.	.	PUNCT
ejpam-6723	224	1	also	also	ADV
ejpam-6723	224	2	,	,	PUNCT
ejpam-6723	224	3	results	result	NOUN
ejpam-6723	224	4	are	be	AUX
ejpam-6723	224	5	sensitive	sensitive	ADJ
ejpam-6723	224	6	to	to	ADP
ejpam-6723	224	7	α	α	NOUN
ejpam-6723	224	8	and	and	CCONJ
ejpam-6723	224	9	β	β	NOUN
ejpam-6723	224	10	values	value	NOUN
ejpam-6723	224	11	variations	variation	NOUN
ejpam-6723	224	12	can	can	AUX
ejpam-6723	224	13	shift	shift	VERB
ejpam-6723	224	14	arnold	arnold	PROPN
ejpam-6723	224	15	tongue	tongue	PROPN
ejpam-6723	224	16	boundaries	boundary	NOUN
ejpam-6723	224	17	author	author	PROPN
ejpam-6723	224	18	contributions	contributions	PROPN
ejpam-6723	224	19	i.	i.	PROPN
ejpam-6723	224	20	alraddadi	alraddadi	PROPN
ejpam-6723	224	21	:	:	PUNCT
ejpam-6723	224	22	conceptualization	conceptualization	NOUN
ejpam-6723	224	23	,	,	PUNCT
ejpam-6723	224	24	methodology	methodology	NOUN
ejpam-6723	224	25	,	,	PUNCT
ejpam-6723	224	26	investigation	investigation	NOUN
ejpam-6723	224	27	,	,	PUNCT
ejpam-6723	224	28	data	datum	NOUN
ejpam-6723	224	29	analysis	analysis	NOUN
ejpam-6723	224	30	,	,	PUNCT
ejpam-6723	224	31	writing	writing	NOUN
ejpam-6723	224	32	—	—	PUNCT
ejpam-6723	224	33	original	original	ADJ
ejpam-6723	224	34	draft	draft	NOUN
ejpam-6723	224	35	,	,	PUNCT
ejpam-6723	224	36	supervision	supervision	NOUN
ejpam-6723	224	37	.	.	PUNCT
ejpam-6723	225	1	s.m	s.m	PROPN
ejpam-6723	225	2	.	.	PROPN
ejpam-6723	225	3	almuaddi	almuaddi	NOUN
ejpam-6723	225	4	:	:	PUNCT
ejpam-6723	225	5	formal	formal	ADJ
ejpam-6723	225	6	analysis	analysis	NOUN
ejpam-6723	225	7	,	,	PUNCT
ejpam-6723	225	8	validation	validation	NOUN
ejpam-6723	225	9	,	,	PUNCT
ejpam-6723	225	10	software	software	NOUN
ejpam-6723	225	11	,	,	PUNCT
ejpam-6723	225	12	resources	resource	NOUN
ejpam-6723	225	13	,	,	PUNCT
ejpam-6723	225	14	data	datum	NOUN
ejpam-6723	225	15	curation	curation	NOUN
ejpam-6723	225	16	,	,	PUNCT
ejpam-6723	225	17	writing	writing	NOUN
ejpam-6723	225	18	—	—	PUNCT
ejpam-6723	225	19	review	review	NOUN
ejpam-6723	225	20	and	and	CCONJ
ejpam-6723	225	21	editing	editing	NOUN
ejpam-6723	225	22	.	.	PUNCT
ejpam-6723	226	1	all	all	DET
ejpam-6723	226	2	authors	author	NOUN
ejpam-6723	226	3	have	have	AUX
ejpam-6723	226	4	read	read	VERB
ejpam-6723	226	5	and	and	CCONJ
ejpam-6723	226	6	agreed	agree	VERB
ejpam-6723	226	7	to	to	ADP
ejpam-6723	226	8	the	the	DET
ejpam-6723	226	9	published	publish	VERB
ejpam-6723	226	10	version	version	NOUN
ejpam-6723	226	11	of	of	ADP
ejpam-6723	226	12	the	the	DET
ejpam-6723	226	13	manuscript	manuscript	NOUN
ejpam-6723	226	14	.	.	PUNCT
ejpam-6723	227	1	references	reference	NOUN
ejpam-6723	227	2	[	[	X
ejpam-6723	227	3	1	1	NUM
ejpam-6723	227	4	]	]	PUNCT
ejpam-6723	227	5	bernard	bernard	PROPN
ejpam-6723	227	6	de	de	PROPN
ejpam-6723	227	7	saedeleer	saedeleer	PROPN
ejpam-6723	227	8	,	,	PUNCT
ejpam-6723	227	9	michel	michel	PROPN
ejpam-6723	227	10	crucifix	crucifix	PROPN
ejpam-6723	227	11	,	,	PUNCT
ejpam-6723	227	12	and	and	CCONJ
ejpam-6723	227	13	sebastian	sebastian	ADJ
ejpam-6723	227	14	wieczorek	wieczorek	PROPN
ejpam-6723	227	15	.	.	PUNCT
ejpam-6723	227	16	is	be	AUX
ejpam-6723	227	17	the	the	DET
ejpam-6723	227	18	astronomical	astronomical	ADJ
ejpam-6723	227	19	forcing	force	VERB
ejpam-6723	227	20	a	a	DET
ejpam-6723	227	21	reliable	reliable	ADJ
ejpam-6723	227	22	and	and	CCONJ
ejpam-6723	227	23	unique	unique	ADJ
ejpam-6723	227	24	pacemaker	pacemaker	NOUN
ejpam-6723	227	25	for	for	ADP
ejpam-6723	227	26	climate	climate	NOUN
ejpam-6723	227	27	?	?	PUNCT
ejpam-6723	228	1	a	a	DET
ejpam-6723	228	2	conceptual	conceptual	ADJ
ejpam-6723	228	3	model	model	NOUN
ejpam-6723	228	4	study	study	NOUN
ejpam-6723	228	5	.	.	PUNCT
ejpam-6723	229	1	climate	climate	NOUN
ejpam-6723	229	2	dynamics	dynamic	NOUN
ejpam-6723	229	3	,	,	PUNCT
ejpam-6723	229	4	2013	2013	NUM
ejpam-6723	229	5	.	.	PUNCT
ejpam-6723	230	1	[	[	X
ejpam-6723	230	2	2	2	NUM
ejpam-6723	230	3	]	]	X
ejpam-6723	230	4	peter	peter	PROPN
ejpam-6723	230	5	ditlevsen	ditlevsen	PROPN
ejpam-6723	230	6	and	and	CCONJ
ejpam-6723	230	7	peter	peter	PROPN
ejpam-6723	230	8	ashwin	ashwin	PROPN
ejpam-6723	230	9	.	.	PUNCT
ejpam-6723	231	1	complex	complex	ADJ
ejpam-6723	231	2	climate	climate	NOUN
ejpam-6723	231	3	response	response	NOUN
ejpam-6723	231	4	to	to	ADP
ejpam-6723	231	5	astronomical	astronomical	ADJ
ejpam-6723	231	6	forcing	forcing	NOUN
ejpam-6723	231	7	:	:	PUNCT
ejpam-6723	231	8	the	the	DET
ejpam-6723	231	9	middle	middle	ADJ
ejpam-6723	231	10	-	-	PUNCT
ejpam-6723	231	11	pleistocene	pleistocene	NOUN
ejpam-6723	231	12	transition	transition	NOUN
ejpam-6723	231	13	in	in	ADP
ejpam-6723	231	14	glacial	glacial	ADJ
ejpam-6723	231	15	cycles	cycle	NOUN
ejpam-6723	231	16	and	and	CCONJ
ejpam-6723	231	17	changes	change	NOUN
ejpam-6723	231	18	in	in	ADP
ejpam-6723	231	19	frequency	frequency	NOUN
ejpam-6723	231	20	locking	locking	NOUN
ejpam-6723	231	21	.	.	PUNCT
ejpam-6723	232	1	pages	page	NOUN
ejpam-6723	232	2	1–13	1–13	PROPN
ejpam-6723	232	3	,	,	PUNCT
ejpam-6723	232	4	2018	2018	NUM
ejpam-6723	232	5	.	.	PUNCT
ejpam-6723	233	1	[	[	X
ejpam-6723	233	2	3	3	X
ejpam-6723	233	3	]	]	X
ejpam-6723	233	4	michel	michel	PROPN
ejpam-6723	233	5	crucifix	crucifix	PROPN
ejpam-6723	233	6	.	.	PUNCT
ejpam-6723	234	1	oscillators	oscillator	NOUN
ejpam-6723	234	2	and	and	CCONJ
ejpam-6723	234	3	relaxation	relaxation	NOUN
ejpam-6723	234	4	phenomena	phenomenon	NOUN
ejpam-6723	234	5	in	in	ADP
ejpam-6723	234	6	pleistocene	pleistocene	PROPN
ejpam-6723	234	7	climate	climate	NOUN
ejpam-6723	234	8	theory	theory	NOUN
ejpam-6723	234	9	.	.	PUNCT
ejpam-6723	235	1	trans	trans	PROPN
ejpam-6723	235	2	.	.	PUNCT
ejpam-6723	235	3	r.	r.	PROPN
ejpam-6723	235	4	soc	soc	PROPN
ejpam-6723	235	5	.	.	PUNCT
ejpam-6723	236	1	a	a	DET
ejpam-6723	236	2	,	,	PUNCT
ejpam-6723	236	3	370:1140–1165	370:1140–1165	NUM
ejpam-6723	236	4	,	,	PUNCT
ejpam-6723	236	5	2012	2012	NUM
ejpam-6723	236	6	.	.	PUNCT
ejpam-6723	237	1	[	[	X
ejpam-6723	237	2	4	4	NUM
ejpam-6723	237	3	]	]	X
ejpam-6723	237	4	balth	balth	NOUN
ejpam-6723	237	5	van	van	PROPN
ejpam-6723	237	6	der	der	PROPN
ejpam-6723	237	7	pol	pol	PROPN
ejpam-6723	237	8	.	.	PUNCT
ejpam-6723	238	1	on	on	ADP
ejpam-6723	238	2	“	"	PUNCT
ejpam-6723	238	3	relaxation	relaxation	NOUN
ejpam-6723	238	4	-	-	PUNCT
ejpam-6723	238	5	oscillations	oscillation	NOUN
ejpam-6723	238	6	”	"	PUNCT
ejpam-6723	238	7	.	.	PUNCT
ejpam-6723	239	1	the	the	DET
ejpam-6723	239	2	london	london	PROPN
ejpam-6723	239	3	,	,	PUNCT
ejpam-6723	239	4	edinburgh	edinburgh	PROPN
ejpam-6723	239	5	,	,	PUNCT
ejpam-6723	239	6	and	and	CCONJ
ejpam-6723	239	7	dublin	dublin	PROPN
ejpam-6723	239	8	philosophical	philosophical	PROPN
ejpam-6723	239	9	magazine	magazine	NOUN
ejpam-6723	239	10	and	and	CCONJ
ejpam-6723	239	11	journal	journal	NOUN
ejpam-6723	239	12	of	of	ADP
ejpam-6723	239	13	science	science	NOUN
ejpam-6723	239	14	,	,	PUNCT
ejpam-6723	239	15	2(11):978–992	2(11):978–992	NUM
ejpam-6723	239	16	,	,	PUNCT
ejpam-6723	239	17	1926	1926	NUM
ejpam-6723	239	18	.	.	PUNCT
ejpam-6723	240	1	[	[	X
ejpam-6723	240	2	5	5	NUM
ejpam-6723	240	3	]	]	X
ejpam-6723	240	4	balth	balth	NOUN
ejpam-6723	240	5	van	van	PROPN
ejpam-6723	240	6	der	der	PROPN
ejpam-6723	240	7	pol	pol	PROPN
ejpam-6723	240	8	and	and	CCONJ
ejpam-6723	240	9	jan	jan	PROPN
ejpam-6723	240	10	van	van	PROPN
ejpam-6723	240	11	der	der	PROPN
ejpam-6723	240	12	mark	mark	PROPN
ejpam-6723	240	13	.	.	PUNCT
ejpam-6723	241	1	frequency	frequency	NOUN
ejpam-6723	241	2	demultiplication	demultiplication	NOUN
ejpam-6723	241	3	.	.	PUNCT
ejpam-6723	242	1	nature	nature	NOUN
ejpam-6723	242	2	,	,	PUNCT
ejpam-6723	242	3	120(3019):363–364	120(3019):363–364	NUM
ejpam-6723	242	4	,	,	PUNCT
ejpam-6723	242	5	1927	1927	NUM
ejpam-6723	242	6	.	.	PUNCT
ejpam-6723	243	1	[	[	X
ejpam-6723	243	2	6	6	NUM
ejpam-6723	243	3	]	]	PUNCT
ejpam-6723	243	4	nikolay	nikolay	NOUN
ejpam-6723	243	5	kyurkchiev	kyurkchiev	ADV
ejpam-6723	243	6	,	,	PUNCT
ejpam-6723	243	7	tsvetelin	tsvetelin	PROPN
ejpam-6723	243	8	zaevski	zaevski	NOUN
ejpam-6723	243	9	,	,	PUNCT
ejpam-6723	243	10	maria	maria	PROPN
ejpam-6723	243	11	vasileva	vasileva	PROPN
ejpam-6723	243	12	,	,	PUNCT
ejpam-6723	243	13	vesselin	vesselin	PROPN
ejpam-6723	243	14	kyurkchiev	kyurkchiev	PROPN
ejpam-6723	243	15	,	,	PUNCT
ejpam-6723	243	16	anton	anton	PROPN
ejpam-6723	243	17	iliev	iliev	ADV
ejpam-6723	243	18	,	,	PUNCT
ejpam-6723	243	19	and	and	CCONJ
ejpam-6723	243	20	asen	asen	NOUN
ejpam-6723	243	21	rahnev	rahnev	NOUN
ejpam-6723	243	22	.	.	PUNCT
ejpam-6723	244	1	dynamics	dynamic	NOUN
ejpam-6723	244	2	of	of	ADP
ejpam-6723	244	3	a	a	DET
ejpam-6723	244	4	class	class	NOUN
ejpam-6723	244	5	of	of	ADP
ejpam-6723	244	6	extended	extended	ADJ
ejpam-6723	244	7	duffing	duffing	NOUN
ejpam-6723	244	8	–	–	PUNCT
ejpam-6723	244	9	van	van	PROPN
ejpam-6723	244	10	der	der	ADJ
ejpam-6723	244	11	pol	pol	PROPN
ejpam-6723	244	12	oscillators	oscillator	NOUN
ejpam-6723	244	13	:	:	PUNCT
ejpam-6723	244	14	melnikov	melnikov	PROPN
ejpam-6723	244	15	’s	’s	PART
ejpam-6723	244	16	approach	approach	NOUN
ejpam-6723	244	17	,	,	PUNCT
ejpam-6723	244	18	simulations	simulation	NOUN
ejpam-6723	244	19	,	,	PUNCT
ejpam-6723	244	20	control	control	NOUN
ejpam-6723	244	21	over	over	ADP
ejpam-6723	244	22	oscillations	oscillation	NOUN
ejpam-6723	244	23	.	.	PUNCT
ejpam-6723	245	1	mathematics	mathematic	NOUN
ejpam-6723	245	2	,	,	PUNCT
ejpam-6723	245	3	13(14	13(14	NUM
ejpam-6723	245	4	)	)	PUNCT
ejpam-6723	245	5	,	,	PUNCT
ejpam-6723	245	6	2025	2025	NUM
ejpam-6723	245	7	.	.	PUNCT
ejpam-6723	246	1	[	[	X
ejpam-6723	246	2	7	7	NUM
ejpam-6723	246	3	]	]	SYM
ejpam-6723	246	4	wieslaw	wieslaw	NOUN
ejpam-6723	246	5	marszalek	marszalek	NOUN
ejpam-6723	246	6	and	and	CCONJ
ejpam-6723	246	7	maciej	maciej	PROPN
ejpam-6723	246	8	walczak	walczak	NOUN
ejpam-6723	246	9	.	.	PUNCT
ejpam-6723	247	1	bifurcation	bifurcation	NOUN
ejpam-6723	247	2	diagrams	diagram	NOUN
ejpam-6723	247	3	of	of	ADP
ejpam-6723	247	4	nonlinear	nonlinear	ADJ
ejpam-6723	247	5	oscillatory	oscillatory	ADJ
ejpam-6723	247	6	dynamical	dynamical	ADJ
ejpam-6723	247	7	systems	system	NOUN
ejpam-6723	247	8	:	:	PUNCT
ejpam-6723	247	9	a	a	DET
ejpam-6723	247	10	brief	brief	ADJ
ejpam-6723	247	11	review	review	NOUN
ejpam-6723	247	12	in	in	ADP
ejpam-6723	247	13	1d	1d	NUM
ejpam-6723	247	14	,	,	PUNCT
ejpam-6723	247	15	2d	2d	NOUN
ejpam-6723	247	16	and	and	CCONJ
ejpam-6723	247	17	3d	3d	NUM
ejpam-6723	247	18	.	.	PUNCT
ejpam-6723	248	1	entropy	entropy	PROPN
ejpam-6723	248	2	,	,	PUNCT
ejpam-6723	248	3	26(9	26(9	NUM
ejpam-6723	248	4	)	)	PUNCT
ejpam-6723	248	5	,	,	PUNCT
ejpam-6723	248	6	2024	2024	NUM
ejpam-6723	248	7	.	.	PUNCT
ejpam-6723	249	1	[	[	X
ejpam-6723	249	2	8	8	NUM
ejpam-6723	249	3	]	]	X
ejpam-6723	249	4	o.	o.	PROPN
ejpam-6723	249	5	cornejo	cornejo	PROPN
ejpam-6723	249	6	-	-	PUNCT
ejpam-6723	249	7	pérez	pérez	PROPN
ejpam-6723	249	8	,	,	PUNCT
ejpam-6723	249	9	p.	p.	NOUN
ejpam-6723	249	10	albares	albare	NOUN
ejpam-6723	249	11	,	,	PUNCT
ejpam-6723	249	12	and	and	CCONJ
ejpam-6723	249	13	j.	j.	PROPN
ejpam-6723	249	14	negro	negro	PROPN
ejpam-6723	249	15	.	.	PUNCT
ejpam-6723	250	1	solutions	solution	NOUN
ejpam-6723	250	2	of	of	ADP
ejpam-6723	250	3	an	an	DET
ejpam-6723	250	4	extended	extended	ADJ
ejpam-6723	250	5	duffing	duffing	NOUN
ejpam-6723	250	6	–	–	PUNCT
ejpam-6723	250	7	van	van	PROPN
ejpam-6723	250	8	der	der	ADJ
ejpam-6723	250	9	pol	pol	NOUN
ejpam-6723	250	10	equation	equation	NOUN
ejpam-6723	250	11	with	with	ADP
ejpam-6723	250	12	variable	variable	ADJ
ejpam-6723	250	13	coefficients	coefficient	NOUN
ejpam-6723	250	14	.	.	PUNCT
ejpam-6723	251	1	physica	physica	NOUN
ejpam-6723	251	2	d	d	NOUN
ejpam-6723	251	3	:	:	PUNCT
ejpam-6723	251	4	nonlinear	nonlinear	ADJ
ejpam-6723	251	5	phenomena	phenomenon	NOUN
ejpam-6723	251	6	,	,	PUNCT
ejpam-6723	251	7	476:134675	476:134675	NUM
ejpam-6723	251	8	,	,	PUNCT
ejpam-6723	251	9	2025	2025	NUM
ejpam-6723	251	10	.	.	PUNCT
ejpam-6723	252	1	[	[	X
ejpam-6723	252	2	9	9	NUM
ejpam-6723	252	3	]	]	X
ejpam-6723	252	4	john	john	PROPN
ejpam-6723	252	5	guckenheimer	guckenheimer	PROPN
ejpam-6723	252	6	,	,	PUNCT
ejpam-6723	252	7	kathleen	kathleen	PROPN
ejpam-6723	252	8	hoffman	hoffman	PROPN
ejpam-6723	252	9	,	,	PUNCT
ejpam-6723	252	10	and	and	CCONJ
ejpam-6723	252	11	warren	warren	PROPN
ejpam-6723	252	12	weckesser	weckesser	PROPN
ejpam-6723	252	13	.	.	PUNCT
ejpam-6723	253	1	the	the	DET
ejpam-6723	253	2	forced	force	VERB
ejpam-6723	253	3	van	van	PROPN
ejpam-6723	253	4	der	der	ADJ
ejpam-6723	253	5	pol	pol	NOUN
ejpam-6723	253	6	equation	equation	NOUN
ejpam-6723	253	7	i	i	PRON
ejpam-6723	253	8	:	:	PUNCT
ejpam-6723	253	9	the	the	DET
ejpam-6723	253	10	slow	slow	ADJ
ejpam-6723	253	11	flow	flow	NOUN
ejpam-6723	253	12	and	and	CCONJ
ejpam-6723	253	13	its	its	PRON
ejpam-6723	253	14	bifurcations	bifurcation	NOUN
ejpam-6723	253	15	.	.	PUNCT
ejpam-6723	254	1	siam	siam	PROPN
ejpam-6723	254	2	j.	j.	PROPN
ejpam-6723	254	3	applied	apply	VERB
ejpam-6723	254	4	dynamical	dynamical	ADJ
ejpam-6723	254	5	systems	system	NOUN
ejpam-6723	254	6	,	,	PUNCT
ejpam-6723	254	7	2(1):1–35	2(1):1–35	NUM
ejpam-6723	254	8	,	,	PUNCT
ejpam-6723	254	9	2003	2003	NUM
ejpam-6723	254	10	.	.	PUNCT
ejpam-6723	255	1	i	i	PRON
ejpam-6723	255	2	alraddadi	alraddadi	VERB
ejpam-6723	255	3	al	al	PROPN
ejpam-6723	255	4	/	/	PUNCT
ejpam-6723	255	5	eur	eur	PROPN
ejpam-6723	255	6	.	.	PUNCT
ejpam-6723	256	1	j.	j.	PROPN
ejpam-6723	256	2	pure	pure	PROPN
ejpam-6723	256	3	appl	appl	PROPN
ejpam-6723	256	4	.	.	PROPN
ejpam-6723	256	5	math	math	PROPN
ejpam-6723	256	6	,	,	PUNCT
ejpam-6723	256	7	18	18	NUM
ejpam-6723	256	8	(	(	PUNCT
ejpam-6723	256	9	4	4	NUM
ejpam-6723	256	10	)	)	PUNCT
ejpam-6723	256	11	(	(	PUNCT
ejpam-6723	256	12	2025	2025	NUM
ejpam-6723	256	13	)	)	PUNCT
ejpam-6723	256	14	,	,	PUNCT
ejpam-6723	256	15	6723	6723	NUM
ejpam-6723	256	16	18	18	NUM
ejpam-6723	256	17	of	of	ADP
ejpam-6723	256	18	20	20	NUM
ejpam-6723	256	19	[	[	SYM
ejpam-6723	256	20	10	10	NUM
ejpam-6723	256	21	]	]	X
ejpam-6723	256	22	p.	p.	PROPN
ejpam-6723	256	23	ashwin	ashwin	PROPN
ejpam-6723	256	24	,	,	PUNCT
ejpam-6723	256	25	c.	c.	PROPN
ejpam-6723	256	26	d.	d.	PROPN
ejpam-6723	256	27	camp	camp	PROPN
ejpam-6723	256	28	,	,	PUNCT
ejpam-6723	256	29	and	and	CCONJ
ejpam-6723	256	30	a.	a.	PROPN
ejpam-6723	256	31	s.	s.	PROPN
ejpam-6723	256	32	von	von	PROPN
ejpam-6723	256	33	der	der	PROPN
ejpam-6723	256	34	heydt	heydt	PROPN
ejpam-6723	256	35	.	.	PUNCT
ejpam-6723	257	1	chaotic	chaotic	ADJ
ejpam-6723	257	2	and	and	CCONJ
ejpam-6723	257	3	nonchaotic	nonchaotic	ADJ
ejpam-6723	257	4	response	response	NOUN
ejpam-6723	257	5	to	to	ADP
ejpam-6723	257	6	quasiperiodic	quasiperiodic	ADJ
ejpam-6723	257	7	forcing	forcing	NOUN
ejpam-6723	257	8	:	:	PUNCT
ejpam-6723	257	9	limits	limit	NOUN
ejpam-6723	257	10	to	to	ADP
ejpam-6723	257	11	predictability	predictability	NOUN
ejpam-6723	257	12	of	of	ADP
ejpam-6723	257	13	ice	ice	NOUN
ejpam-6723	257	14	ages	age	NOUN
ejpam-6723	257	15	paced	pace	VERB
ejpam-6723	257	16	by	by	ADP
ejpam-6723	257	17	milankovitch	milankovitch	NOUN
ejpam-6723	257	18	forcing	force	VERB
ejpam-6723	257	19	.	.	PUNCT
ejpam-6723	258	1	dynamics	dynamic	NOUN
ejpam-6723	258	2	and	and	CCONJ
ejpam-6723	258	3	statistics	statistic	NOUN
ejpam-6723	258	4	of	of	ADP
ejpam-6723	258	5	the	the	DET
ejpam-6723	258	6	climate	climate	NOUN
ejpam-6723	258	7	system	system	NOUN
ejpam-6723	258	8	,	,	PUNCT
ejpam-6723	258	9	3(1):dzy002	3(1):dzy002	NUM
ejpam-6723	258	10	,	,	PUNCT
ejpam-6723	258	11	2018	2018	NUM
ejpam-6723	258	12	.	.	PUNCT
ejpam-6723	259	1	[	[	X
ejpam-6723	259	2	11	11	NUM
ejpam-6723	259	3	]	]	PUNCT
ejpam-6723	259	4	k.	k.	PROPN
ejpam-6723	259	5	bold	bold	PROPN
ejpam-6723	259	6	,	,	PUNCT
ejpam-6723	259	7	c.	c.	PROPN
ejpam-6723	259	8	edwards	edwards	PROPN
ejpam-6723	259	9	,	,	PUNCT
ejpam-6723	259	10	j.	j.	PROPN
ejpam-6723	259	11	guckenheimer	guckenheimer	PROPN
ejpam-6723	259	12	,	,	PUNCT
ejpam-6723	259	13	s.	s.	PROPN
ejpam-6723	259	14	guharay	guharay	PROPN
ejpam-6723	259	15	,	,	PUNCT
ejpam-6723	259	16	k.	k.	PROPN
ejpam-6723	259	17	hoffman	hoffman	PROPN
ejpam-6723	259	18	,	,	PUNCT
ejpam-6723	259	19	j.	j.	PROPN
ejpam-6723	259	20	hubbard	hubbard	PROPN
ejpam-6723	259	21	,	,	PUNCT
ejpam-6723	259	22	r.	r.	PROPN
ejpam-6723	259	23	oliva	oliva	PROPN
ejpam-6723	259	24	,	,	PUNCT
ejpam-6723	259	25	and	and	CCONJ
ejpam-6723	259	26	w.	w.	PROPN
ejpam-6723	259	27	weckesser	weckesser	PROPN
ejpam-6723	259	28	.	.	PUNCT
ejpam-6723	260	1	the	the	DET
ejpam-6723	260	2	forced	force	VERB
ejpam-6723	260	3	van	van	PROPN
ejpam-6723	260	4	der	der	PROPN
ejpam-6723	260	5	pol	pol	PROPN
ejpam-6723	260	6	equation	equation	PROPN
ejpam-6723	260	7	ii	ii	PROPN
ejpam-6723	260	8	:	:	PUNCT
ejpam-6723	260	9	canards	canard	NOUN
ejpam-6723	260	10	in	in	ADP
ejpam-6723	260	11	the	the	DET
ejpam-6723	260	12	reduced	reduce	VERB
ejpam-6723	260	13	system	system	NOUN
ejpam-6723	260	14	.	.	PUNCT
ejpam-6723	261	1	siam	siam	PROPN
ejpam-6723	261	2	journal	journal	PROPN
ejpam-6723	261	3	on	on	ADP
ejpam-6723	261	4	applied	apply	VERB
ejpam-6723	261	5	dynamical	dynamical	ADJ
ejpam-6723	261	6	systems	system	NOUN
ejpam-6723	261	7	,	,	PUNCT
ejpam-6723	261	8	2(4):570–608	2(4):570–608	NUM
ejpam-6723	261	9	,	,	PUNCT
ejpam-6723	261	10	2003	2003	NUM
ejpam-6723	261	11	.	.	PUNCT
ejpam-6723	262	1	[	[	X
ejpam-6723	262	2	12	12	NUM
ejpam-6723	262	3	]	]	X
ejpam-6723	262	4	g.	g.	PROPN
ejpam-6723	262	5	m.	m.	PROPN
ejpam-6723	262	6	moatimid	moatimid	PROPN
ejpam-6723	262	7	and	and	CCONJ
ejpam-6723	262	8	t.	t.	PROPN
ejpam-6723	262	9	s.	s.	PROPN
ejpam-6723	262	10	amer	amer	PROPN
ejpam-6723	262	11	.	.	PUNCT
ejpam-6723	263	1	dynamical	dynamical	ADJ
ejpam-6723	263	2	system	system	NOUN
ejpam-6723	263	3	of	of	ADP
ejpam-6723	263	4	a	a	DET
ejpam-6723	263	5	time	time	NOUN
ejpam-6723	263	6	-	-	PUNCT
ejpam-6723	263	7	delayed	delay	VERB
ejpam-6723	263	8	6	6	NUM
ejpam-6723	263	9	-	-	PUNCT
ejpam-6723	263	10	van	van	PROPN
ejpam-6723	263	11	der	der	ADJ
ejpam-6723	263	12	pol	pol	PROPN
ejpam-6723	263	13	oscillator	oscillator	NOUN
ejpam-6723	263	14	:	:	PUNCT
ejpam-6723	263	15	a	a	DET
ejpam-6723	263	16	non	non	ADJ
ejpam-6723	263	17	-	-	ADJ
ejpam-6723	263	18	perturbative	perturbative	ADJ
ejpam-6723	263	19	approach	approach	NOUN
ejpam-6723	263	20	.	.	PUNCT
ejpam-6723	264	1	scientific	scientific	ADJ
ejpam-6723	264	2	reports	report	NOUN
ejpam-6723	264	3	,	,	PUNCT
ejpam-6723	264	4	13:11942	13:11942	NUM
ejpam-6723	264	5	,	,	PUNCT
ejpam-6723	264	6	2023	2023	NUM
ejpam-6723	264	7	.	.	PUNCT
ejpam-6723	265	1	[	[	X
ejpam-6723	265	2	13	13	NUM
ejpam-6723	265	3	]	]	PUNCT
ejpam-6723	265	4	m.	m.	NOUN
ejpam-6723	265	5	a.	a.	NOUN
ejpam-6723	265	6	elfouly	elfouly	ADV
ejpam-6723	265	7	and	and	CCONJ
ejpam-6723	265	8	m.	m.	NOUN
ejpam-6723	265	9	a.	a.	PROPN
ejpam-6723	265	10	sohaly	sohaly	PROPN
ejpam-6723	265	11	.	.	PUNCT
ejpam-6723	266	1	van	van	PROPN
ejpam-6723	266	2	der	der	PROPN
ejpam-6723	266	3	pol	pol	PROPN
ejpam-6723	266	4	model	model	NOUN
ejpam-6723	266	5	in	in	ADP
ejpam-6723	266	6	two	two	NUM
ejpam-6723	266	7	-	-	PUNCT
ejpam-6723	266	8	delay	delay	NOUN
ejpam-6723	266	9	differential	differential	ADJ
ejpam-6723	266	10	equation	equation	NOUN
ejpam-6723	266	11	representation	representation	NOUN
ejpam-6723	266	12	.	.	PUNCT
ejpam-6723	267	1	scientific	scientific	ADJ
ejpam-6723	267	2	reports	report	NOUN
ejpam-6723	267	3	,	,	PUNCT
ejpam-6723	267	4	12:2925	12:2925	NUM
ejpam-6723	267	5	,	,	PUNCT
ejpam-6723	267	6	2022	2022	NUM
ejpam-6723	267	7	.	.	PUNCT
ejpam-6723	268	1	[	[	X
ejpam-6723	268	2	14	14	NUM
ejpam-6723	268	3	]	]	X
ejpam-6723	268	4	ibrahim	ibrahim	PROPN
ejpam-6723	268	5	alraddadi	alraddadi	PROPN
ejpam-6723	268	6	.	.	PUNCT
ejpam-6723	269	1	matlab	matlab	PROPN
ejpam-6723	269	2	code	code	PROPN
ejpam-6723	269	3	for	for	ADP
ejpam-6723	269	4	computing	compute	VERB
ejpam-6723	269	5	the	the	DET
ejpam-6723	269	6	first	first	ADJ
ejpam-6723	269	7	return	return	NOUN
ejpam-6723	269	8	map	map	NOUN
ejpam-6723	269	9	and	and	CCONJ
ejpam-6723	269	10	frequency	frequency	NOUN
ejpam-6723	269	11	locking	locking	NOUN
ejpam-6723	269	12	.	.	PUNCT
ejpam-6723	270	1	https://doi.org/10.5281/zenodo.17081498	https://doi.org/10.5281/zenodo.17081498	NOUN
ejpam-6723	270	2	,	,	PUNCT
ejpam-6723	270	3	sep	sep	PROPN
ejpam-6723	270	4	2025	2025	NUM
ejpam-6723	270	5	.	.	PUNCT
ejpam-6723	271	1	zenodo	zenodo	NOUN
ejpam-6723	271	2	,	,	PUNCT
ejpam-6723	271	3	doi	doi	NOUN
ejpam-6723	271	4	:	:	PUNCT
ejpam-6723	271	5	10.5281	10.5281	NUM
ejpam-6723	271	6	/	/	SYM
ejpam-6723	271	7	zenodo.17081498	zenodo.17081498	PROPN
ejpam-6723	271	8	.	.	PUNCT
ejpam-6723	272	1	[	[	X
ejpam-6723	272	2	15	15	NUM
ejpam-6723	272	3	]	]	X
ejpam-6723	272	4	alraddadi	alraddadi	NOUN
ejpam-6723	272	5	.	.	PUNCT
ejpam-6723	273	1	the	the	DET
ejpam-6723	273	2	asymmetric	asymmetric	NOUN
ejpam-6723	273	3	periodically	periodically	ADV
ejpam-6723	273	4	forced	force	VERB
ejpam-6723	273	5	van	van	PROPN
ejpam-6723	273	6	der	der	PROPN
ejpam-6723	273	7	pol	pol	PROPN
ejpam-6723	273	8	oscillator	oscillator	NOUN
ejpam-6723	273	9	.	.	PUNCT
ejpam-6723	274	1	european	european	PROPN
ejpam-6723	274	2	journal	journal	PROPN
ejpam-6723	274	3	of	of	ADP
ejpam-6723	274	4	pure	pure	ADJ
ejpam-6723	274	5	and	and	CCONJ
ejpam-6723	274	6	applied	applied	ADJ
ejpam-6723	274	7	mathematics	mathematic	NOUN
ejpam-6723	274	8	,	,	PUNCT
ejpam-6723	274	9	18(1):5787	18(1):5787	NUM
ejpam-6723	274	10	,	,	PUNCT
ejpam-6723	274	11	2025	2025	NUM
ejpam-6723	274	12	.	.	PUNCT
ejpam-6723	275	1	[	[	X
ejpam-6723	275	2	16	16	NUM
ejpam-6723	275	3	]	]	X
ejpam-6723	275	4	karl	karl	PROPN
ejpam-6723	275	5	hm	hm	INTJ
ejpam-6723	275	6	nyman	nyman	PROPN
ejpam-6723	275	7	and	and	CCONJ
ejpam-6723	275	8	peter	peter	PROPN
ejpam-6723	275	9	d	d	PROPN
ejpam-6723	275	10	ditlevsen	ditlevsen	PROPN
ejpam-6723	275	11	.	.	PUNCT
ejpam-6723	276	1	the	the	DET
ejpam-6723	276	2	middle	middle	PROPN
ejpam-6723	276	3	pleistocene	pleistocene	PROPN
ejpam-6723	276	4	transition	transition	NOUN
ejpam-6723	276	5	by	by	ADP
ejpam-6723	276	6	frequency	frequency	NOUN
ejpam-6723	276	7	locking	locking	NOUN
ejpam-6723	276	8	and	and	CCONJ
ejpam-6723	276	9	slow	slow	ADJ
ejpam-6723	276	10	ramping	ramp	VERB
ejpam-6723	276	11	of	of	ADP
ejpam-6723	276	12	internal	internal	ADJ
ejpam-6723	276	13	period	period	NOUN
ejpam-6723	276	14	.	.	PUNCT
ejpam-6723	277	1	climate	climate	NOUN
ejpam-6723	277	2	dynamics	dynamic	NOUN
ejpam-6723	277	3	,	,	PUNCT
ejpam-6723	277	4	53(5):3023	53(5):3023	NUM
ejpam-6723	277	5	–	–	PUNCT
ejpam-6723	277	6	3038	3038	NUM
ejpam-6723	277	7	,	,	PUNCT
ejpam-6723	277	8	2019	2019	NUM
ejpam-6723	277	9	.	.	PUNCT
ejpam-6723	278	1	[	[	X
ejpam-6723	278	2	17	17	NUM
ejpam-6723	278	3	]	]	X
ejpam-6723	278	4	peter	peter	PROPN
ejpam-6723	278	5	ashwin	ashwin	PROPN
ejpam-6723	278	6	,	,	PUNCT
ejpam-6723	278	7	charles	charles	PROPN
ejpam-6723	278	8	david	david	PROPN
ejpam-6723	278	9	camp	camp	PROPN
ejpam-6723	278	10	,	,	PUNCT
ejpam-6723	278	11	and	and	CCONJ
ejpam-6723	278	12	anna	anna	PROPN
ejpam-6723	278	13	s	s	PROPN
ejpam-6723	278	14	von	von	PROPN
ejpam-6723	278	15	der	der	PROPN
ejpam-6723	278	16	heydt	heydt	PROPN
ejpam-6723	278	17	.	.	PUNCT
ejpam-6723	279	1	chaotic	chaotic	ADJ
ejpam-6723	279	2	and	and	CCONJ
ejpam-6723	279	3	nonchaotic	nonchaotic	ADJ
ejpam-6723	279	4	response	response	NOUN
ejpam-6723	279	5	to	to	ADP
ejpam-6723	279	6	quasiperiodic	quasiperiodic	ADJ
ejpam-6723	279	7	forcing	forcing	NOUN
ejpam-6723	279	8	:	:	PUNCT
ejpam-6723	279	9	limits	limit	NOUN
ejpam-6723	279	10	to	to	ADP
ejpam-6723	279	11	predictability	predictability	NOUN
ejpam-6723	279	12	of	of	ADP
ejpam-6723	279	13	ice	ice	NOUN
ejpam-6723	279	14	ages	age	NOUN
ejpam-6723	279	15	paced	pace	VERB
ejpam-6723	279	16	by	by	ADP
ejpam-6723	279	17	milankovitch	milankovitch	NOUN
ejpam-6723	279	18	forcing	force	VERB
ejpam-6723	279	19	.	.	PUNCT
ejpam-6723	280	1	dynamics	dynamic	NOUN
ejpam-6723	280	2	and	and	CCONJ
ejpam-6723	280	3	statistics	statistic	NOUN
ejpam-6723	280	4	of	of	ADP
ejpam-6723	280	5	the	the	DET
ejpam-6723	280	6	climate	climate	NOUN
ejpam-6723	280	7	system	system	NOUN
ejpam-6723	280	8	,	,	PUNCT
ejpam-6723	280	9	3(1	3(1	NUM
ejpam-6723	280	10	)	)	PUNCT
ejpam-6723	280	11	,	,	PUNCT
ejpam-6723	280	12	2018	2018	NUM
ejpam-6723	280	13	.	.	PUNCT
ejpam-6723	281	1	[	[	X
ejpam-6723	281	2	18	18	NUM
ejpam-6723	281	3	]	]	X
ejpam-6723	281	4	peter	peter	PROPN
ejpam-6723	281	5	ditlevsen	ditlevsen	PROPN
ejpam-6723	281	6	and	and	CCONJ
ejpam-6723	281	7	peter	peter	PROPN
ejpam-6723	281	8	ashwin	ashwin	PROPN
ejpam-6723	281	9	.	.	PUNCT
ejpam-6723	282	1	complex	complex	ADJ
ejpam-6723	282	2	climate	climate	NOUN
ejpam-6723	282	3	response	response	NOUN
ejpam-6723	282	4	to	to	ADP
ejpam-6723	282	5	astronomical	astronomical	ADJ
ejpam-6723	282	6	forcing	forcing	NOUN
ejpam-6723	282	7	:	:	PUNCT
ejpam-6723	282	8	the	the	DET
ejpam-6723	282	9	mpt	mpt	NOUN
ejpam-6723	282	10	as	as	ADP
ejpam-6723	282	11	a	a	DET
ejpam-6723	282	12	change	change	NOUN
ejpam-6723	282	13	in	in	ADP
ejpam-6723	282	14	frequency	frequency	NOUN
ejpam-6723	282	15	locking	locking	NOUN
ejpam-6723	282	16	.	.	PUNCT
ejpam-6723	283	1	in	in	ADP
ejpam-6723	283	2	geophysical	geophysical	ADJ
ejpam-6723	283	3	research	research	NOUN
ejpam-6723	283	4	abstracts	abstract	NOUN
ejpam-6723	283	5	,	,	PUNCT
ejpam-6723	283	6	volume	volume	NOUN
ejpam-6723	283	7	21	21	NUM
ejpam-6723	283	8	,	,	PUNCT
ejpam-6723	283	9	2019	2019	NUM
ejpam-6723	283	10	.	.	PUNCT
ejpam-6723	284	1	[	[	X
ejpam-6723	284	2	19	19	NUM
ejpam-6723	284	3	]	]	PUNCT
ejpam-6723	284	4	stephen	stephen	PROPN
ejpam-6723	284	5	lynch	lynch	PROPN
ejpam-6723	284	6	.	.	PUNCT
ejpam-6723	285	1	dynamical	dynamical	ADJ
ejpam-6723	285	2	systems	system	NOUN
ejpam-6723	285	3	with	with	ADP
ejpam-6723	285	4	applications	application	NOUN
ejpam-6723	285	5	using	use	VERB
ejpam-6723	285	6	matlab	matlab	PROPN
ejpam-6723	285	7	®	®	PROPN
ejpam-6723	285	8	.	.	PUNCT
ejpam-6723	286	1	springer	springer	PROPN
ejpam-6723	286	2	international	international	ADJ
ejpam-6723	286	3	publishing	publishing	NOUN
ejpam-6723	286	4	,	,	PUNCT
ejpam-6723	286	5	2014	2014	NUM
ejpam-6723	286	6	.	.	PUNCT
ejpam-6723	287	1	appendix	appendix	VERB
ejpam-6723	287	2	nomenclature	nomenclature	NOUN
ejpam-6723	287	3	and	and	CCONJ
ejpam-6723	287	4	parameter	parameter	NOUN
ejpam-6723	287	5	definitions	definition	NOUN
ejpam-6723	287	6	to	to	PART
ejpam-6723	287	7	ensure	ensure	VERB
ejpam-6723	287	8	clarity	clarity	NOUN
ejpam-6723	287	9	and	and	CCONJ
ejpam-6723	287	10	consistency	consistency	NOUN
ejpam-6723	287	11	throughout	throughout	ADP
ejpam-6723	287	12	this	this	DET
ejpam-6723	287	13	paper	paper	NOUN
ejpam-6723	287	14	,	,	PUNCT
ejpam-6723	287	15	we	we	PRON
ejpam-6723	287	16	provide	provide	VERB
ejpam-6723	287	17	complete	complete	ADJ
ejpam-6723	287	18	definitions	definition	NOUN
ejpam-6723	287	19	of	of	ADP
ejpam-6723	287	20	all	all	DET
ejpam-6723	287	21	mathematical	mathematical	ADJ
ejpam-6723	287	22	symbols	symbol	NOUN
ejpam-6723	287	23	and	and	CCONJ
ejpam-6723	287	24	parameters	parameter	NOUN
ejpam-6723	287	25	used	use	VERB
ejpam-6723	287	26	in	in	ADP
ejpam-6723	287	27	our	our	PRON
ejpam-6723	287	28	van	van	PROPN
ejpam-6723	287	29	der	der	ADJ
ejpam-6723	287	30	pol	pol	PROPN
ejpam-6723	287	31	-	-	PUNCT
ejpam-6723	287	32	duffing	duffe	VERB
ejpam-6723	287	33	oscillator	oscillator	NOUN
ejpam-6723	287	34	analysis	analysis	NOUN
ejpam-6723	287	35	.	.	PUNCT
ejpam-6723	288	1	table	table	NOUN
ejpam-6723	288	2	1	1	NUM
ejpam-6723	288	3	summarizes	summarize	NOUN
ejpam-6723	288	4	the	the	DET
ejpam-6723	288	5	key	key	ADJ
ejpam-6723	288	6	variables	variable	NOUN
ejpam-6723	288	7	,	,	PUNCT
ejpam-6723	288	8	parameters	parameter	NOUN
ejpam-6723	288	9	,	,	PUNCT
ejpam-6723	288	10	and	and	CCONJ
ejpam-6723	288	11	their	their	PRON
ejpam-6723	288	12	physical	physical	ADJ
ejpam-6723	288	13	interpretations	interpretation	NOUN
ejpam-6723	288	14	in	in	ADP
ejpam-6723	288	15	the	the	DET
ejpam-6723	288	16	context	context	NOUN
ejpam-6723	288	17	of	of	ADP
ejpam-6723	288	18	glacial	glacial	ADJ
ejpam-6723	288	19	cycle	cycle	NOUN
ejpam-6723	288	20	dynamics	dynamic	NOUN
ejpam-6723	288	21	.	.	PUNCT
ejpam-6723	289	1	i	i	PRON
ejpam-6723	289	2	alraddadi	alraddadi	VERB
ejpam-6723	289	3	al	al	PROPN
ejpam-6723	289	4	/	/	PUNCT
ejpam-6723	289	5	eur	eur	PROPN
ejpam-6723	289	6	.	.	PUNCT
ejpam-6723	290	1	j.	j.	PROPN
ejpam-6723	290	2	pure	pure	PROPN
ejpam-6723	290	3	appl	appl	PROPN
ejpam-6723	290	4	.	.	PROPN
ejpam-6723	290	5	math	math	PROPN
ejpam-6723	290	6	,	,	PUNCT
ejpam-6723	290	7	18	18	NUM
ejpam-6723	290	8	(	(	PUNCT
ejpam-6723	290	9	4	4	NUM
ejpam-6723	290	10	)	)	PUNCT
ejpam-6723	290	11	(	(	PUNCT
ejpam-6723	290	12	2025	2025	NUM
ejpam-6723	290	13	)	)	PUNCT
ejpam-6723	290	14	,	,	PUNCT
ejpam-6723	290	15	6723	6723	NUM
ejpam-6723	290	16	19	19	NUM
ejpam-6723	290	17	of	of	ADP
ejpam-6723	290	18	20	20	NUM
ejpam-6723	290	19	table	table	NOUN
ejpam-6723	290	20	1	1	NUM
ejpam-6723	290	21	:	:	PUNCT
ejpam-6723	290	22	nomenclature	nomenclature	NOUN
ejpam-6723	290	23	and	and	CCONJ
ejpam-6723	290	24	parameter	parameter	NOUN
ejpam-6723	290	25	definitions	definition	NOUN
ejpam-6723	290	26	for	for	ADP
ejpam-6723	290	27	the	the	DET
ejpam-6723	290	28	asymmetrically	asymmetrically	ADV
ejpam-6723	290	29	forced	force	VERB
ejpam-6723	290	30	van	van	PROPN
ejpam-6723	290	31	der	der	PROPN
ejpam-6723	290	32	pol	pol	PROPN
ejpam-6723	290	33	-	-	PUNCT
ejpam-6723	290	34	duffing	duffe	VERB
ejpam-6723	290	35	oscillator	oscillator	NOUN
ejpam-6723	290	36	model	model	NOUN
ejpam-6723	290	37	symbol	symbol	NOUN
ejpam-6723	290	38	definition	definition	NOUN
ejpam-6723	290	39	physical	physical	ADJ
ejpam-6723	290	40	interpretation	interpretation	NOUN
ejpam-6723	290	41	typical	typical	ADJ
ejpam-6723	290	42	values	value	NOUN
ejpam-6723	290	43	primary	primary	ADJ
ejpam-6723	290	44	variables	variable	NOUN
ejpam-6723	290	45	x	x	PUNCT
ejpam-6723	290	46	fast	fast	ADJ
ejpam-6723	290	47	variable	variable	NOUN
ejpam-6723	290	48	(	(	PUNCT
ejpam-6723	290	49	liénard	liénard	NOUN
ejpam-6723	290	50	coordinate	coordinate	NOUN
ejpam-6723	290	51	)	)	PUNCT
ejpam-6723	290	52	ice	ice	NOUN
ejpam-6723	290	53	volume	volume	NOUN
ejpam-6723	290	54	anomaly	anomaly	VERB
ejpam-6723	291	1	[	[	X
ejpam-6723	291	2	−3	−3	NOUN
ejpam-6723	291	3	,	,	PUNCT
ejpam-6723	291	4	3	3	X
ejpam-6723	291	5	]	]	X
ejpam-6723	291	6	y	y	PROPN
ejpam-6723	291	7	slow	slow	ADJ
ejpam-6723	291	8	variable	variable	ADJ
ejpam-6723	291	9	rate	rate	NOUN
ejpam-6723	291	10	of	of	ADP
ejpam-6723	291	11	ice	ice	NOUN
ejpam-6723	291	12	volume	volume	NOUN
ejpam-6723	291	13	change	change	NOUN
ejpam-6723	291	14	[	[	X
ejpam-6723	291	15	−2	−2	X
ejpam-6723	291	16	,	,	PUNCT
ejpam-6723	291	17	2	2	NUM
ejpam-6723	291	18	]	]	SYM
ejpam-6723	291	19	θ	θ	NOUN
ejpam-6723	291	20	phase	phase	NOUN
ejpam-6723	291	21	variable	variable	ADJ
ejpam-6723	291	22	orbital	orbital	ADJ
ejpam-6723	291	23	phase	phase	NOUN
ejpam-6723	291	24	[	[	X
ejpam-6723	291	25	0	0	NUM
ejpam-6723	291	26	,	,	PUNCT
ejpam-6723	291	27	1	1	NUM
ejpam-6723	291	28	]	]	PUNCT
ejpam-6723	291	29	system	system	NOUN
ejpam-6723	291	30	parameters	parameter	NOUN
ejpam-6723	291	31	α	α	DET
ejpam-6723	291	32	timescale	timescale	NOUN
ejpam-6723	291	33	separation	separation	NOUN
ejpam-6723	291	34	parameter	parameter	NOUN
ejpam-6723	291	35	controls	control	VERB
ejpam-6723	291	36	relaxation	relaxation	NOUN
ejpam-6723	291	37	oscillation	oscillation	NOUN
ejpam-6723	291	38	sharpness	sharpness	NOUN
ejpam-6723	291	39	11.11	11.11	NUM
ejpam-6723	291	40	β	β	NOUN
ejpam-6723	291	41	asymmetry	asymmetry	NOUN
ejpam-6723	291	42	parameter	parameter	NOUN
ejpam-6723	291	43	climate	climate	NOUN
ejpam-6723	291	44	system	system	NOUN
ejpam-6723	291	45	asymmetries	asymmetry	NOUN
ejpam-6723	291	46	/	/	SYM
ejpam-6723	291	47	thresholds	threshold	NOUN
ejpam-6723	291	48	[	[	X
ejpam-6723	291	49	0	0	NUM
ejpam-6723	291	50	,	,	PUNCT
ejpam-6723	291	51	1.2	1.2	NUM
ejpam-6723	291	52	]	]	X
ejpam-6723	291	53	γ	γ	X
ejpam-6723	291	54	effective	effective	ADJ
ejpam-6723	291	55	forcing	force	VERB
ejpam-6723	291	56	amplitude	amplitude	NOUN
ejpam-6723	291	57	astronomical	astronomical	ADJ
ejpam-6723	291	58	forcing	forcing	NOUN
ejpam-6723	291	59	strength	strength	NOUN
ejpam-6723	291	60	[	[	X
ejpam-6723	291	61	0.1	0.1	NUM
ejpam-6723	291	62	,	,	PUNCT
ejpam-6723	291	63	3.5	3.5	NUM
ejpam-6723	291	64	]	]	PUNCT
ejpam-6723	291	65	κ	κ	X
ejpam-6723	291	66	unforced	unforced	ADJ
ejpam-6723	291	67	oscillation	oscillation	NOUN
ejpam-6723	291	68	timescale	timescale	NOUN
ejpam-6723	291	69	sets	set	VERB
ejpam-6723	291	70	natural	natural	ADJ
ejpam-6723	291	71	climate	climate	NOUN
ejpam-6723	291	72	oscillation	oscillation	NOUN
ejpam-6723	291	73	period	period	NOUN
ejpam-6723	292	1	52.0	52.0	NUM
ejpam-6723	292	2	τ	τ	NOUN
ejpam-6723	292	3	time	time	NOUN
ejpam-6723	292	4	scaling	scale	VERB
ejpam-6723	292	5	factor	factor	NOUN
ejpam-6723	292	6	normalizes	normalize	VERB
ejpam-6723	292	7	to	to	ADP
ejpam-6723	292	8	glacial	glacial	ADJ
ejpam-6723	292	9	timescales	timescale	NOUN
ejpam-6723	292	10	1.0	1.0	NUM
ejpam-6723	292	11	ω	ω	NUM
ejpam-6723	292	12	forcing	force	VERB
ejpam-6723	292	13	frequency	frequency	NOUN
ejpam-6723	292	14	orbital	orbital	ADJ
ejpam-6723	292	15	frequency	frequency	NOUN
ejpam-6723	292	16	ratios	ratio	NOUN
ejpam-6723	292	17	[	[	X
ejpam-6723	292	18	0.5	0.5	NUM
ejpam-6723	292	19	,	,	PUNCT
ejpam-6723	292	20	5.0	5.0	NUM
ejpam-6723	292	21	]	]	PUNCT
ejpam-6723	293	1	gspt	gspt	NOUN
ejpam-6723	294	1	analysis	analysis	NOUN
ejpam-6723	294	2	s0	s0	PROPN
ejpam-6723	294	3	critical	critical	ADJ
ejpam-6723	294	4	manifold	manifold	ADJ
ejpam-6723	294	5	equilibrium	equilibrium	NOUN
ejpam-6723	294	6	ice	ice	NOUN
ejpam-6723	294	7	configurations	configuration	NOUN
ejpam-6723	294	8	surface	surface	NOUN
ejpam-6723	294	9	sa	sa	NOUN
ejpam-6723	294	10	attracting	attract	VERB
ejpam-6723	294	11	sheet	sheet	NOUN
ejpam-6723	294	12	stable	stable	ADJ
ejpam-6723	294	13	ice	ice	NOUN
ejpam-6723	294	14	states	state	NOUN
ejpam-6723	294	15	subset	subset	VERB
ejpam-6723	294	16	of	of	ADP
ejpam-6723	294	17	s0	s0	PROPN
ejpam-6723	294	18	sr	sr	PROPN
ejpam-6723	294	19	repelling	repel	VERB
ejpam-6723	294	20	sheet	sheet	NOUN
ejpam-6723	294	21	unstable	unstable	ADJ
ejpam-6723	294	22	ice	ice	NOUN
ejpam-6723	294	23	states	state	NOUN
ejpam-6723	294	24	subset	subset	VERB
ejpam-6723	294	25	of	of	ADP
ejpam-6723	294	26	s0	s0	PROPN
ejpam-6723	294	27	θs	θs	PROPN
ejpam-6723	294	28	folded	fold	VERB
ejpam-6723	294	29	saddle	saddle	NOUN
ejpam-6723	294	30	location	location	NOUN
ejpam-6723	294	31	critical	critical	ADJ
ejpam-6723	294	32	orbital	orbital	ADJ
ejpam-6723	294	33	phases	phase	NOUN
ejpam-6723	294	34	function	function	VERB
ejpam-6723	294	35	of	of	ADP
ejpam-6723	294	36	a	a	DET
ejpam-6723	294	37	,	,	PUNCT
ejpam-6723	294	38	β	β	X
ejpam-6723	294	39	θn	θn	NOUN
ejpam-6723	294	40	folded	fold	VERB
ejpam-6723	294	41	node	node	ADJ
ejpam-6723	294	42	location	location	NOUN
ejpam-6723	294	43	turning	turning	NOUN
ejpam-6723	294	44	point	point	NOUN
ejpam-6723	294	45	phases	phase	NOUN
ejpam-6723	294	46	function	function	NOUN
ejpam-6723	294	47	of	of	ADP
ejpam-6723	294	48	a	a	DET
ejpam-6723	294	49	,	,	PUNCT
ejpam-6723	294	50	β	β	PROPN
ejpam-6723	294	51	physical	physical	ADJ
ejpam-6723	294	52	timescales	timescale	NOUN
ejpam-6723	294	53	t0	t0	PROPN
ejpam-6723	294	54	unforced	unforced	ADJ
ejpam-6723	294	55	period	period	NOUN
ejpam-6723	294	56	natural	natural	ADJ
ejpam-6723	294	57	glacial	glacial	ADJ
ejpam-6723	294	58	cycle	cycle	NOUN
ejpam-6723	294	59	length	length	NOUN
ejpam-6723	294	60	∼	∼	NOUN
ejpam-6723	294	61	100	100	NUM
ejpam-6723	294	62	kyr	kyr	PROPN
ejpam-6723	294	63	tf	tf	X
ejpam-6723	294	64	forcing	force	VERB
ejpam-6723	294	65	period	period	NOUN
ejpam-6723	294	66	orbital	orbital	ADJ
ejpam-6723	294	67	period	period	NOUN
ejpam-6723	294	68	(	(	PUNCT
ejpam-6723	294	69	eccentricity	eccentricity	NOUN
ejpam-6723	294	70	)	)	PUNCT
ejpam-6723	294	71	∼	∼	NOUN
ejpam-6723	294	72	100	100	NUM
ejpam-6723	294	73	kyr	kyr	PROPN
ejpam-6723	294	74	t41	t41	PROPN
ejpam-6723	294	75	obliquity	obliquity	PROPN
ejpam-6723	294	76	period	period	PROPN
ejpam-6723	294	77	earth	earth	NOUN
ejpam-6723	294	78	’s	’s	PART
ejpam-6723	294	79	obliquity	obliquity	NOUN
ejpam-6723	294	80	cycle	cycle	PROPN
ejpam-6723	294	81	41	41	NUM
ejpam-6723	294	82	kyr	kyr	PROPN
ejpam-6723	294	83	t23	t23	PROPN
ejpam-6723	294	84	precession	precession	NOUN
ejpam-6723	294	85	period	period	NOUN
ejpam-6723	294	86	precession	precession	NOUN
ejpam-6723	294	87	cycle	cycle	NOUN
ejpam-6723	294	88	23	23	NUM
ejpam-6723	294	89	kyr	kyr	PROPN
ejpam-6723	295	1	i	i	PRON
ejpam-6723	295	2	alraddadi	alraddadi	VERB
ejpam-6723	295	3	al	al	PROPN
ejpam-6723	295	4	/	/	PUNCT
ejpam-6723	295	5	eur	eur	PROPN
ejpam-6723	295	6	.	.	PUNCT
ejpam-6723	296	1	j.	j.	PROPN
ejpam-6723	296	2	pure	pure	PROPN
ejpam-6723	296	3	appl	appl	PROPN
ejpam-6723	296	4	.	.	PROPN
ejpam-6723	296	5	math	math	PROPN
ejpam-6723	296	6	,	,	PUNCT
ejpam-6723	296	7	18	18	NUM
ejpam-6723	296	8	(	(	PUNCT
ejpam-6723	296	9	4	4	NUM
ejpam-6723	296	10	)	)	PUNCT
ejpam-6723	296	11	(	(	PUNCT
ejpam-6723	296	12	2025	2025	NUM
ejpam-6723	296	13	)	)	PUNCT
ejpam-6723	296	14	,	,	PUNCT
ejpam-6723	296	15	6723	6723	NUM
ejpam-6723	296	16	20	20	NUM
ejpam-6723	296	17	of	of	ADP
ejpam-6723	296	18	20	20	NUM
ejpam-6723	296	19	computational	computational	ADJ
ejpam-6723	296	20	implementation	implementation	NOUN
ejpam-6723	296	21	of	of	ADP
ejpam-6723	296	22	the	the	DET
ejpam-6723	296	23	first	first	ADJ
ejpam-6723	296	24	return	return	NOUN
ejpam-6723	296	25	map	map	NOUN
ejpam-6723	296	26	and	and	CCONJ
ejpam-6723	296	27	frequency	frequency	NOUN
ejpam-6723	296	28	locking	lock	VERB
ejpam-6723	296	29	the	the	DET
ejpam-6723	296	30	first	first	ADJ
ejpam-6723	296	31	return	return	NOUN
ejpam-6723	296	32	map	map	NOUN
ejpam-6723	296	33	f	f	PROPN
ejpam-6723	296	34	is	be	AUX
ejpam-6723	296	35	calculated	calculate	VERB
ejpam-6723	296	36	using	use	VERB
ejpam-6723	296	37	a	a	DET
ejpam-6723	296	38	matlab	matlab	PROPN
ejpam-6723	296	39	-	-	PUNCT
ejpam-6723	296	40	based	base	VERB
ejpam-6723	296	41	numerical	numerical	ADJ
ejpam-6723	296	42	integration	integration	NOUN
ejpam-6723	296	43	approach	approach	NOUN
ejpam-6723	296	44	following	follow	VERB
ejpam-6723	296	45	the	the	DET
ejpam-6723	296	46	methodology	methodology	NOUN
ejpam-6723	296	47	described	describe	VERB
ejpam-6723	296	48	in	in	ADP
ejpam-6723	296	49	[	[	X
ejpam-6723	296	50	19	19	NUM
ejpam-6723	296	51	]	]	PUNCT
ejpam-6723	296	52	.	.	PUNCT
ejpam-6723	297	1	in	in	ADP
ejpam-6723	297	2	this	this	DET
ejpam-6723	297	3	computational	computational	ADJ
ejpam-6723	297	4	framework	framework	NOUN
ejpam-6723	297	5	,	,	PUNCT
ejpam-6723	297	6	we	we	PRON
ejpam-6723	297	7	evaluate	evaluate	VERB
ejpam-6723	297	8	the	the	DET
ejpam-6723	297	9	component	component	NOUN
ejpam-6723	297	10	maps	map	NOUN
ejpam-6723	297	11	p+	p+	ADJ
ejpam-6723	297	12	and	and	CCONJ
ejpam-6723	297	13	p−	p−	NOUN
ejpam-6723	297	14	independently	independently	ADV
ejpam-6723	297	15	,	,	PUNCT
ejpam-6723	297	16	whereas	whereas	SCONJ
ejpam-6723	297	17	the	the	DET
ejpam-6723	297	18	jump	jump	NOUN
ejpam-6723	297	19	maps	map	NOUN
ejpam-6723	297	20	j+	j+	NUM
ejpam-6723	297	21	and	and	CCONJ
ejpam-6723	297	22	j−	j−	PROPN
ejpam-6723	297	23	are	be	AUX
ejpam-6723	297	24	analytically	analytically	ADV
ejpam-6723	297	25	defined	define	VERB
ejpam-6723	297	26	as	as	SCONJ
ejpam-6723	297	27	specified	specify	VERB
ejpam-6723	297	28	in	in	ADP
ejpam-6723	297	29	equation	equation	NOUN
ejpam-6723	297	30	.	.	PUNCT
ejpam-6723	298	1	to	to	PART
ejpam-6723	298	2	approximate	approximate	ADJ
ejpam-6723	298	3	maps	map	NOUN
ejpam-6723	298	4	p+	p+	ADJ
ejpam-6723	298	5	and	and	CCONJ
ejpam-6723	298	6	p−	p−	NOUN
ejpam-6723	298	7	,	,	PUNCT
ejpam-6723	298	8	we	we	PRON
ejpam-6723	298	9	solve	solve	VERB
ejpam-6723	298	10	the	the	DET
ejpam-6723	298	11	dynamical	dynamical	ADJ
ejpam-6723	298	12	system	system	NOUN
ejpam-6723	298	13	by	by	ADP
ejpam-6723	298	14	initiating	initiate	VERB
ejpam-6723	298	15	trajectories	trajectory	NOUN
ejpam-6723	298	16	at	at	ADP
ejpam-6723	298	17	y	y	PROPN
ejpam-6723	298	18	=	=	PUNCT
ejpam-6723	298	19	±2	±2	NOUN
ejpam-6723	298	20	and	and	CCONJ
ejpam-6723	298	21	terminating	terminate	VERB
ejpam-6723	298	22	the	the	DET
ejpam-6723	298	23	integration	integration	NOUN
ejpam-6723	298	24	upon	upon	SCONJ
ejpam-6723	298	25	reaching	reach	VERB
ejpam-6723	298	26	the	the	DET
ejpam-6723	298	27	event	event	NOUN
ejpam-6723	298	28	where	where	SCONJ
ejpam-6723	298	29	y	y	PROPN
ejpam-6723	298	30	=	=	PUNCT
ejpam-6723	298	31	±1	±1	VERB
ejpam-6723	298	32	.	.	PUNCT
ejpam-6723	299	1	the	the	DET
ejpam-6723	299	2	implementation	implementation	NOUN
ejpam-6723	299	3	employs	employ	VERB
ejpam-6723	299	4	matlab	matlab	PROPN
ejpam-6723	299	5	’s	’s	PART
ejpam-6723	299	6	ode45	ode45	NOUN
ejpam-6723	299	7	differential	differential	ADJ
ejpam-6723	299	8	equation	equation	NOUN
ejpam-6723	299	9	solver	solver	VERB
ejpam-6723	299	10	equipped	equip	VERB
ejpam-6723	299	11	with	with	ADP
ejpam-6723	299	12	an	an	DET
ejpam-6723	299	13	event	event	NOUN
ejpam-6723	299	14	detection	detection	NOUN
ejpam-6723	299	15	mechanism	mechanism	NOUN
ejpam-6723	299	16	that	that	PRON
ejpam-6723	299	17	halts	halt	VERB
ejpam-6723	299	18	the	the	DET
ejpam-6723	299	19	numerical	numerical	ADJ
ejpam-6723	299	20	integration	integration	NOUN
ejpam-6723	299	21	precisely	precisely	ADV
ejpam-6723	299	22	when	when	SCONJ
ejpam-6723	299	23	the	the	DET
ejpam-6723	299	24	solution	solution	NOUN
ejpam-6723	299	25	trajectory	trajectory	NOUN
ejpam-6723	299	26	intersects	intersect	VERB
ejpam-6723	299	27	the	the	DET
ejpam-6723	299	28	boundaries	boundary	NOUN
ejpam-6723	300	1	y	y	NOUN
ejpam-6723	300	2	=	=	PUNCT
ejpam-6723	300	3	−1	−1	NOUN
ejpam-6723	300	4	or	or	CCONJ
ejpam-6723	300	5	y	y	NOUN
ejpam-6723	300	6	=	=	SYM
ejpam-6723	300	7	1	1	X
ejpam-6723	300	8	.	.	PUNCT
ejpam-6723	301	1	this	this	PRON
ejpam-6723	301	2	occurs	occur	VERB
ejpam-6723	301	3	when	when	SCONJ
ejpam-6723	301	4	trajectories	trajectory	NOUN
ejpam-6723	301	5	evolve	evolve	VERB
ejpam-6723	301	6	toward	toward	ADP
ejpam-6723	301	7	periodic	periodic	ADJ
ejpam-6723	301	8	attractors	attractor	NOUN
ejpam-6723	301	9	located	locate	VERB
ejpam-6723	301	10	on	on	ADP
ejpam-6723	301	11	the	the	DET
ejpam-6723	301	12	stable	stable	ADJ
ejpam-6723	301	13	manifold	manifold	NOUN
ejpam-6723	301	14	,	,	PUNCT
ejpam-6723	301	15	preventing	prevent	VERB
ejpam-6723	301	16	them	they	PRON
ejpam-6723	301	17	from	from	ADP
ejpam-6723	301	18	ever	ever	ADV
ejpam-6723	301	19	returning	return	VERB
ejpam-6723	301	20	to	to	ADP
ejpam-6723	301	21	the	the	DET
ejpam-6723	301	22	fold	fold	ADJ
ejpam-6723	301	23	boundaries	boundary	NOUN
ejpam-6723	301	24	.	.	PUNCT
ejpam-6723	302	1	the	the	DET
ejpam-6723	302	2	matlab	matlab	PROPN
ejpam-6723	302	3	implementation	implementation	NOUN
ejpam-6723	302	4	incorporates	incorporate	VERB
ejpam-6723	302	5	exception	exception	NOUN
ejpam-6723	302	6	handling	handling	NOUN
ejpam-6723	302	7	to	to	PART
ejpam-6723	302	8	identify	identify	VERB
ejpam-6723	302	9	and	and	CCONJ
ejpam-6723	302	10	manage	manage	VERB
ejpam-6723	302	11	these	these	DET
ejpam-6723	302	12	special	special	ADJ
ejpam-6723	302	13	cases	case	NOUN
ejpam-6723	302	14	through	through	ADP
ejpam-6723	302	15	appropriate	appropriate	ADJ
ejpam-6723	302	16	break	break	NOUN
ejpam-6723	302	17	statements	statement	NOUN
ejpam-6723	302	18	.	.	PUNCT
ejpam-6723	303	1	we	we	PRON
ejpam-6723	303	2	determine	determine	VERB
ejpam-6723	303	3	frequency	frequency	NOUN
ejpam-6723	303	4	locking	locking	NOUN
ejpam-6723	303	5	behavior	behavior	NOUN
ejpam-6723	303	6	through	through	ADP
ejpam-6723	303	7	computational	computational	ADJ
ejpam-6723	303	8	analysis	analysis	NOUN
ejpam-6723	303	9	of	of	ADP
ejpam-6723	303	10	the	the	DET
ejpam-6723	303	11	poincaré	poincaré	ADJ
ejpam-6723	303	12	return	return	NOUN
ejpam-6723	303	13	map	map	NOUN
ejpam-6723	303	14	f	f	PROPN
ejpam-6723	303	15	iterations	iteration	NOUN
ejpam-6723	303	16	,	,	PUNCT
ejpam-6723	303	17	where	where	SCONJ
ejpam-6723	303	18	the	the	DET
ejpam-6723	303	19	map	map	NOUN
ejpam-6723	303	20	itself	itself	PRON
ejpam-6723	303	21	is	be	AUX
ejpam-6723	303	22	constructed	construct	VERB
ejpam-6723	303	23	by	by	ADP
ejpam-6723	303	24	numerically	numerically	ADV
ejpam-6723	303	25	integrating	integrate	VERB
ejpam-6723	303	26	the	the	DET
ejpam-6723	303	27	desingularized	desingularize	VERB
ejpam-6723	303	28	system	system	NOUN
ejpam-6723	303	29	.	.	PUNCT
ejpam-6723	304	1	our	our	PRON
ejpam-6723	304	2	computational	computational	ADJ
ejpam-6723	304	3	results	result	NOUN
ejpam-6723	304	4	,	,	PUNCT
ejpam-6723	304	5	presented	present	VERB
ejpam-6723	304	6	in	in	ADP
ejpam-6723	304	7	figure	figure	NOUN
ejpam-6723	304	8	7	7	NUM
ejpam-6723	304	9	,	,	PUNCT
ejpam-6723	304	10	demonstrate	demonstrate	VERB
ejpam-6723	304	11	the	the	DET
ejpam-6723	304	12	iterative	iterative	NOUN
ejpam-6723	304	13	dynamics	dynamic	NOUN
ejpam-6723	304	14	of	of	ADP
ejpam-6723	304	15	the	the	DET
ejpam-6723	304	16	poincaré	poincaré	ADJ
ejpam-6723	304	17	return	return	NOUN
ejpam-6723	304	18	map	map	NOUN
ejpam-6723	304	19	for	for	ADP
ejpam-6723	304	20	representative	representative	ADJ
ejpam-6723	304	21	trajectories	trajectory	NOUN
ejpam-6723	304	22	.	.	PUNCT
ejpam-6723	305	1	to	to	PART
ejpam-6723	305	2	ensure	ensure	VERB
ejpam-6723	305	3	convergence	convergence	NOUN
ejpam-6723	305	4	to	to	ADP
ejpam-6723	305	5	attracting	attract	VERB
ejpam-6723	305	6	behavior	behavior	NOUN
ejpam-6723	305	7	,	,	PUNCT
ejpam-6723	305	8	we	we	PRON
ejpam-6723	305	9	discard	discard	VERB
ejpam-6723	305	10	an	an	DET
ejpam-6723	305	11	initial	initial	ADJ
ejpam-6723	305	12	transient	transient	ADJ
ejpam-6723	305	13	period	period	NOUN
ejpam-6723	305	14	of	of	ADP
ejpam-6723	305	15	100	100	NUM
ejpam-6723	305	16	iterations	iteration	NOUN
ejpam-6723	305	17	before	before	ADP
ejpam-6723	305	18	analyzing	analyze	VERB
ejpam-6723	305	19	the	the	DET
ejpam-6723	305	20	system	system	NOUN
ejpam-6723	305	21	’s	’s	PART
ejpam-6723	305	22	period	period	NOUN
ejpam-6723	305	23	n	n	CCONJ
ejpam-6723	305	24	and	and	CCONJ
ejpam-6723	305	25	identifying	identify	VERB
ejpam-6723	305	26	attractor	attractor	NOUN
ejpam-6723	305	27	points	point	NOUN
ejpam-6723	305	28	.	.	PUNCT