id	sid	tid	token	lemma	pos
ejpam-6341	1	1	european	european	PROPN
ejpam-6341	1	2	journal	journal	PROPN
ejpam-6341	1	3	of	of	ADP
ejpam-6341	1	4	pure	pure	ADJ
ejpam-6341	1	5	and	and	CCONJ
ejpam-6341	1	6	applied	applied	ADJ
ejpam-6341	1	7	mathematics	mathematic	NOUN
ejpam-6341	1	8	2025	2025	NUM
ejpam-6341	1	9	,	,	PUNCT
ejpam-6341	1	10	vol	vol	NOUN
ejpam-6341	1	11	.	.	PROPN
ejpam-6341	1	12	18	18	NUM
ejpam-6341	1	13	,	,	PUNCT
ejpam-6341	1	14	issue	issue	NOUN
ejpam-6341	1	15	3	3	NUM
ejpam-6341	1	16	,	,	PUNCT
ejpam-6341	1	17	article	article	NOUN
ejpam-6341	1	18	number	number	NOUN
ejpam-6341	1	19	6341	6341	NUM
ejpam-6341	1	20	issn	issn	PROPN
ejpam-6341	1	21	1307	1307	NUM
ejpam-6341	1	22	-	-	SYM
ejpam-6341	1	23	5543	5543	NUM
ejpam-6341	1	24	–	–	PUNCT
ejpam-6341	1	25	ejpam.com	ejpam.com	X
ejpam-6341	1	26	published	publish	VERB
ejpam-6341	1	27	by	by	ADP
ejpam-6341	1	28	new	new	PROPN
ejpam-6341	1	29	york	york	PROPN
ejpam-6341	1	30	business	business	PROPN
ejpam-6341	1	31	global	global	PROPN
ejpam-6341	1	32	an	an	DET
ejpam-6341	1	33	exploration	exploration	NOUN
ejpam-6341	1	34	of	of	ADP
ejpam-6341	1	35	the	the	DET
ejpam-6341	1	36	topological	topological	ADJ
ejpam-6341	1	37	structure	structure	NOUN
ejpam-6341	1	38	and	and	CCONJ
ejpam-6341	1	39	bifurcation	bifurcation	NOUN
ejpam-6341	1	40	of	of	ADP
ejpam-6341	1	41	liouville	liouville	PROPN
ejpam-6341	1	42	tori	tori	NOUN
ejpam-6341	1	43	in	in	ADP
ejpam-6341	1	44	models	model	NOUN
ejpam-6341	1	45	of	of	ADP
ejpam-6341	1	46	galactic	galactic	ADJ
ejpam-6341	1	47	motion	motion	NOUN
ejpam-6341	1	48	t.	t.	PROPN
ejpam-6341	1	49	s.	s.	PROPN
ejpam-6341	1	50	amer1,∗	amer1,∗	PROPN
ejpam-6341	1	51	,	,	PUNCT
ejpam-6341	1	52	f.	f.	PROPN
ejpam-6341	1	53	m.	m.	PROPN
ejpam-6341	2	1	el	el	PROPN
ejpam-6341	2	2	-	-	PUNCT
ejpam-6341	2	3	sabaa2	sabaa2	PROPN
ejpam-6341	2	4	,	,	PUNCT
ejpam-6341	2	5	m.	m.	NOUN
ejpam-6341	2	6	fakharany1,3	fakharany1,3	PROPN
ejpam-6341	2	7	,	,	PUNCT
ejpam-6341	2	8	h.	h.	PROPN
ejpam-6341	2	9	m.	m.	PROPN
ejpam-6341	2	10	gad2	gad2	PROPN
ejpam-6341	2	11	1	1	NUM
ejpam-6341	2	12	department	department	NOUN
ejpam-6341	2	13	of	of	ADP
ejpam-6341	2	14	mathematics	mathematic	NOUN
ejpam-6341	2	15	,	,	PUNCT
ejpam-6341	2	16	faculty	faculty	NOUN
ejpam-6341	2	17	of	of	ADP
ejpam-6341	2	18	science	science	NOUN
ejpam-6341	2	19	,	,	PUNCT
ejpam-6341	2	20	tanta	tanta	PROPN
ejpam-6341	2	21	university	university	PROPN
ejpam-6341	2	22	,	,	PUNCT
ejpam-6341	2	23	tanta	tanta	PROPN
ejpam-6341	2	24	31527	31527	NUM
ejpam-6341	2	25	,	,	PUNCT
ejpam-6341	2	26	egypt	egypt	PROPN
ejpam-6341	2	27	2	2	NUM
ejpam-6341	2	28	department	department	NOUN
ejpam-6341	2	29	of	of	ADP
ejpam-6341	2	30	mathematics	mathematic	NOUN
ejpam-6341	2	31	,	,	PUNCT
ejpam-6341	2	32	faculty	faculty	NOUN
ejpam-6341	2	33	of	of	ADP
ejpam-6341	2	34	education	education	NOUN
ejpam-6341	2	35	,	,	PUNCT
ejpam-6341	2	36	ain	ain	PROPN
ejpam-6341	2	37	shams	shams	PROPN
ejpam-6341	2	38	university	university	PROPN
ejpam-6341	2	39	,	,	PUNCT
ejpam-6341	2	40	cairo	cairo	PROPN
ejpam-6341	2	41	,	,	PUNCT
ejpam-6341	2	42	egypt	egypt	PROPN
ejpam-6341	2	43	3	3	NUM
ejpam-6341	2	44	mathematics	mathematic	NOUN
ejpam-6341	2	45	and	and	CCONJ
ejpam-6341	2	46	statistics	statistics	PROPN
ejpam-6341	2	47	department	department	PROPN
ejpam-6341	2	48	,	,	PUNCT
ejpam-6341	2	49	college	college	NOUN
ejpam-6341	2	50	of	of	ADP
ejpam-6341	2	51	science	science	PROPN
ejpam-6341	2	52	,	,	PUNCT
ejpam-6341	2	53	taibah	taibah	PROPN
ejpam-6341	2	54	university	university	PROPN
ejpam-6341	2	55	,	,	PUNCT
ejpam-6341	2	56	yanbu	yanbu	PROPN
ejpam-6341	2	57	,	,	PUNCT
ejpam-6341	2	58	saudi	saudi	PROPN
ejpam-6341	2	59	arabia	arabia	PROPN
ejpam-6341	2	60	abstract	abstract	NOUN
ejpam-6341	2	61	.	.	PUNCT
ejpam-6341	3	1	this	this	DET
ejpam-6341	3	2	paper	paper	NOUN
ejpam-6341	3	3	examines	examine	VERB
ejpam-6341	3	4	two	two	NUM
ejpam-6341	3	5	integrable	integrable	ADJ
ejpam-6341	3	6	cases	case	NOUN
ejpam-6341	3	7	:	:	PUNCT
ejpam-6341	3	8	a	a	DET
ejpam-6341	3	9	generalized	generalized	ADJ
ejpam-6341	3	10	hénon	hénon	NOUN
ejpam-6341	3	11	-	-	PUNCT
ejpam-6341	3	12	heiles	heile	NOUN
ejpam-6341	3	13	(	(	PUNCT
ejpam-6341	3	14	hh	hh	NOUN
ejpam-6341	3	15	)	)	PUNCT
ejpam-6341	3	16	system	system	NOUN
ejpam-6341	3	17	and	and	CCONJ
ejpam-6341	3	18	a	a	DET
ejpam-6341	3	19	quartic	quartic	ADJ
ejpam-6341	3	20	potential	potential	NOUN
ejpam-6341	3	21	.	.	PUNCT
ejpam-6341	4	1	for	for	ADP
ejpam-6341	4	2	each	each	DET
ejpam-6341	4	3	case	case	NOUN
ejpam-6341	4	4	,	,	PUNCT
ejpam-6341	4	5	the	the	DET
ejpam-6341	4	6	liouville	liouville	PROPN
ejpam-6341	4	7	tori	tori	PROPN
ejpam-6341	4	8	’s	’s	PART
ejpam-6341	4	9	bifurcation	bifurcation	NOUN
ejpam-6341	4	10	(	(	PUNCT
ejpam-6341	4	11	ltb	ltb	PROPN
ejpam-6341	4	12	)	)	PUNCT
ejpam-6341	4	13	is	be	AUX
ejpam-6341	4	14	analyzed	analyze	VERB
ejpam-6341	4	15	.	.	PUNCT
ejpam-6341	5	1	periodic	periodic	ADJ
ejpam-6341	5	2	solutions	solution	NOUN
ejpam-6341	5	3	(	(	PUNCT
ejpam-6341	5	4	ps	ps	NOUN
ejpam-6341	5	5	)	)	PUNCT
ejpam-6341	5	6	are	be	AUX
ejpam-6341	5	7	derived	derive	VERB
ejpam-6341	5	8	using	use	VERB
ejpam-6341	5	9	jacobi	jacobi	PROPN
ejpam-6341	5	10	elliptic	elliptic	ADJ
ejpam-6341	5	11	functions	function	NOUN
ejpam-6341	5	12	,	,	PUNCT
ejpam-6341	5	13	and	and	CCONJ
ejpam-6341	5	14	the	the	DET
ejpam-6341	5	15	corresponding	corresponding	ADJ
ejpam-6341	5	16	phase	phase	NOUN
ejpam-6341	5	17	portraits	portrait	NOUN
ejpam-6341	5	18	are	be	AUX
ejpam-6341	5	19	presented	present	VERB
ejpam-6341	5	20	with	with	ADP
ejpam-6341	5	21	a	a	DET
ejpam-6341	5	22	classification	classification	NOUN
ejpam-6341	5	23	of	of	ADP
ejpam-6341	5	24	the	the	DET
ejpam-6341	5	25	singular	singular	ADJ
ejpam-6341	5	26	points	point	NOUN
ejpam-6341	5	27	.	.	PUNCT
ejpam-6341	6	1	furthermore	furthermore	ADV
ejpam-6341	6	2	,	,	PUNCT
ejpam-6341	6	3	the	the	DET
ejpam-6341	6	4	ps	ps	NOUN
ejpam-6341	6	5	for	for	ADP
ejpam-6341	6	6	both	both	DET
ejpam-6341	6	7	cases	case	NOUN
ejpam-6341	6	8	is	be	AUX
ejpam-6341	6	9	constructed	construct	VERB
ejpam-6341	6	10	based	base	VERB
ejpam-6341	6	11	on	on	ADP
ejpam-6341	6	12	the	the	DET
ejpam-6341	6	13	lyapunov	lyapunov	NOUN
ejpam-6341	6	14	theorem	theorem	VERB
ejpam-6341	6	15	.	.	PUNCT
ejpam-6341	7	1	the	the	DET
ejpam-6341	7	2	possible	possible	ADJ
ejpam-6341	7	3	applications	application	NOUN
ejpam-6341	7	4	of	of	ADP
ejpam-6341	7	5	this	this	DET
ejpam-6341	7	6	study	study	NOUN
ejpam-6341	7	7	are	be	AUX
ejpam-6341	7	8	primarily	primarily	ADV
ejpam-6341	7	9	confined	confine	VERB
ejpam-6341	7	10	to	to	ADP
ejpam-6341	7	11	celestial	celestial	ADJ
ejpam-6341	7	12	mechanics	mechanic	NOUN
ejpam-6341	7	13	and	and	CCONJ
ejpam-6341	7	14	astrodynamics	astrodynamic	NOUN
ejpam-6341	7	15	.	.	PUNCT
ejpam-6341	8	1	specifically	specifically	ADV
ejpam-6341	8	2	,	,	PUNCT
ejpam-6341	8	3	the	the	DET
ejpam-6341	8	4	generalization	generalization	NOUN
ejpam-6341	8	5	of	of	ADP
ejpam-6341	8	6	the	the	DET
ejpam-6341	8	7	hh	hh	ADJ
ejpam-6341	8	8	system	system	NOUN
ejpam-6341	8	9	and	and	CCONJ
ejpam-6341	8	10	quartic	quartic	ADJ
ejpam-6341	8	11	potentials	potential	NOUN
ejpam-6341	8	12	often	often	ADV
ejpam-6341	8	13	appears	appear	VERB
ejpam-6341	8	14	in	in	ADP
ejpam-6341	8	15	modeling	model	VERB
ejpam-6341	8	16	gravitational	gravitational	ADJ
ejpam-6341	8	17	interactions	interaction	NOUN
ejpam-6341	8	18	between	between	ADP
ejpam-6341	8	19	celestial	celestial	ADJ
ejpam-6341	8	20	bodies	body	NOUN
ejpam-6341	8	21	,	,	PUNCT
ejpam-6341	8	22	including	include	VERB
ejpam-6341	8	23	the	the	DET
ejpam-6341	8	24	study	study	NOUN
ejpam-6341	8	25	of	of	ADP
ejpam-6341	8	26	the	the	DET
ejpam-6341	8	27	stability	stability	NOUN
ejpam-6341	8	28	and	and	CCONJ
ejpam-6341	8	29	motion	motion	NOUN
ejpam-6341	8	30	of	of	ADP
ejpam-6341	8	31	planets	planet	NOUN
ejpam-6341	8	32	,	,	PUNCT
ejpam-6341	8	33	asteroids	asteroid	NOUN
ejpam-6341	8	34	,	,	PUNCT
ejpam-6341	8	35	and	and	CCONJ
ejpam-6341	8	36	satellites	satellite	NOUN
ejpam-6341	8	37	.	.	PUNCT
ejpam-6341	9	1	additionally	additionally	ADV
ejpam-6341	9	2	,	,	PUNCT
ejpam-6341	9	3	the	the	DET
ejpam-6341	9	4	classification	classification	NOUN
ejpam-6341	9	5	of	of	ADP
ejpam-6341	9	6	singular	singular	ADJ
ejpam-6341	9	7	points	point	NOUN
ejpam-6341	9	8	and	and	CCONJ
ejpam-6341	9	9	phase	phase	NOUN
ejpam-6341	9	10	portraits	portrait	NOUN
ejpam-6341	9	11	provides	provide	VERB
ejpam-6341	9	12	valuable	valuable	ADJ
ejpam-6341	9	13	insights	insight	NOUN
ejpam-6341	9	14	for	for	ADP
ejpam-6341	9	15	identifying	identify	VERB
ejpam-6341	9	16	chaotic	chaotic	ADJ
ejpam-6341	9	17	or	or	CCONJ
ejpam-6341	9	18	regular	regular	ADJ
ejpam-6341	9	19	behaviors	behavior	NOUN
ejpam-6341	9	20	in	in	ADP
ejpam-6341	9	21	various	various	ADJ
ejpam-6341	9	22	systems	system	NOUN
ejpam-6341	9	23	,	,	PUNCT
ejpam-6341	9	24	such	such	ADJ
ejpam-6341	9	25	as	as	ADP
ejpam-6341	9	26	weather	weather	NOUN
ejpam-6341	9	27	models	model	NOUN
ejpam-6341	9	28	or	or	CCONJ
ejpam-6341	9	29	economic	economic	ADJ
ejpam-6341	9	30	systems	system	NOUN
ejpam-6341	9	31	.	.	PUNCT
ejpam-6341	10	1	furthermore	furthermore	ADV
ejpam-6341	10	2	,	,	PUNCT
ejpam-6341	10	3	understanding	understand	VERB
ejpam-6341	10	4	bifurcations	bifurcation	NOUN
ejpam-6341	10	5	and	and	CCONJ
ejpam-6341	10	6	ps	ps	NOUN
ejpam-6341	10	7	contributes	contribute	VERB
ejpam-6341	10	8	to	to	ADP
ejpam-6341	10	9	the	the	DET
ejpam-6341	10	10	design	design	NOUN
ejpam-6341	10	11	of	of	ADP
ejpam-6341	10	12	control	control	NOUN
ejpam-6341	10	13	mechanisms	mechanism	NOUN
ejpam-6341	10	14	for	for	ADP
ejpam-6341	10	15	nonlinear	nonlinear	ADJ
ejpam-6341	10	16	systems	system	NOUN
ejpam-6341	10	17	,	,	PUNCT
ejpam-6341	10	18	including	include	VERB
ejpam-6341	10	19	robotics	robotic	NOUN
ejpam-6341	10	20	and	and	CCONJ
ejpam-6341	10	21	automated	automate	VERB
ejpam-6341	10	22	processes	process	NOUN
ejpam-6341	10	23	.	.	PUNCT
ejpam-6341	11	1	2020	2020	NUM
ejpam-6341	11	2	mathematics	mathematic	NOUN
ejpam-6341	11	3	subject	subject	NOUN
ejpam-6341	11	4	classifications	classification	NOUN
ejpam-6341	11	5	:	:	PUNCT
ejpam-6341	11	6	37j35	37j35	NUM
ejpam-6341	11	7	,	,	PUNCT
ejpam-6341	11	8	70h06	70h06	NUM
ejpam-6341	11	9	,	,	PUNCT
ejpam-6341	11	10	37g10	37g10	NUM
ejpam-6341	11	11	,	,	PUNCT
ejpam-6341	11	12	70f15	70f15	NUM
ejpam-6341	11	13	key	key	ADJ
ejpam-6341	11	14	words	word	NOUN
ejpam-6341	11	15	and	and	CCONJ
ejpam-6341	11	16	phrases	phrase	NOUN
ejpam-6341	11	17	:	:	PUNCT
ejpam-6341	11	18	hamilton	hamilton	PROPN
ejpam-6341	11	19	-	-	PUNCT
ejpam-6341	11	20	jacobi	jacobi	PROPN
ejpam-6341	11	21	equations	equation	NOUN
ejpam-6341	11	22	,	,	PUNCT
ejpam-6341	11	23	lyapunov	lyapunov	PROPN
ejpam-6341	11	24	’s	’s	PART
ejpam-6341	11	25	method	method	NOUN
ejpam-6341	11	26	,	,	PUNCT
ejpam-6341	11	27	level	level	NOUN
ejpam-6341	11	28	sets’topology	sets’topology	NOUN
ejpam-6341	11	29	,	,	PUNCT
ejpam-6341	11	30	periodic	periodic	ADJ
ejpam-6341	11	31	solution	solution	NOUN
ejpam-6341	11	32	,	,	PUNCT
ejpam-6341	11	33	phase	phase	NOUN
ejpam-6341	11	34	portrait	portrait	NOUN
ejpam-6341	11	35	1	1	NUM
ejpam-6341	11	36	.	.	PUNCT
ejpam-6341	11	37	introduction	introduction	NOUN
ejpam-6341	11	38	in	in	ADP
ejpam-6341	11	39	the	the	DET
ejpam-6341	11	40	current	current	ADJ
ejpam-6341	11	41	paper	paper	NOUN
ejpam-6341	11	42	,	,	PUNCT
ejpam-6341	11	43	we	we	PRON
ejpam-6341	11	44	will	will	AUX
ejpam-6341	11	45	discuss	discuss	VERB
ejpam-6341	11	46	the	the	DET
ejpam-6341	11	47	two	two	NUM
ejpam-6341	11	48	models	model	NOUN
ejpam-6341	11	49	of	of	ADP
ejpam-6341	11	50	galactic	galactic	ADJ
ejpam-6341	11	51	motion	motion	NOUN
ejpam-6341	11	52	to	to	PART
ejpam-6341	11	53	get	get	VERB
ejpam-6341	11	54	a	a	DET
ejpam-6341	11	55	complete	complete	ADJ
ejpam-6341	11	56	description	description	NOUN
ejpam-6341	11	57	of	of	ADP
ejpam-6341	11	58	these	these	DET
ejpam-6341	11	59	motions	motion	NOUN
ejpam-6341	11	60	in	in	ADP
ejpam-6341	11	61	view	view	NOUN
ejpam-6341	11	62	of	of	ADP
ejpam-6341	11	63	studying	study	VERB
ejpam-6341	11	64	the	the	DET
ejpam-6341	11	65	bifurcation	bifurcation	NOUN
ejpam-6341	11	66	and	and	CCONJ
ejpam-6341	11	67	the	the	DET
ejpam-6341	11	68	topology	topology	NOUN
ejpam-6341	11	69	of	of	ADP
ejpam-6341	11	70	invariant	invariant	ADJ
ejpam-6341	11	71	level	level	NOUN
ejpam-6341	11	72	sets	set	NOUN
ejpam-6341	11	73	(	(	PUNCT
ejpam-6341	11	74	ls	ls	PROPN
ejpam-6341	11	75	)	)	PUNCT
ejpam-6341	11	76	of	of	ADP
ejpam-6341	11	77	the	the	DET
ejpam-6341	11	78	separated	separate	VERB
ejpam-6341	11	79	functions	function	NOUN
ejpam-6341	11	80	namely	namely	ADV
ejpam-6341	11	81	,	,	PUNCT
ejpam-6341	11	82	the	the	DET
ejpam-6341	11	83	third	third	ADJ
ejpam-6341	11	84	case	case	NOUN
ejpam-6341	11	85	of	of	ADP
ejpam-6341	11	86	the	the	DET
ejpam-6341	11	87	generalized	generalized	ADJ
ejpam-6341	11	88	hh	hh	NOUN
ejpam-6341	11	89	and	and	CCONJ
ejpam-6341	11	90	the	the	DET
ejpam-6341	11	91	non	non	NOUN
ejpam-6341	11	92	separated	separate	VERB
ejpam-6341	11	93	case	case	NOUN
ejpam-6341	11	94	of	of	ADP
ejpam-6341	11	95	the	the	DET
ejpam-6341	11	96	quartic	quartic	ADJ
ejpam-6341	11	97	potential	potential	ADJ
ejpam-6341	11	98	function	function	NOUN
ejpam-6341	11	99	(	(	PUNCT
ejpam-6341	11	100	pf	pf	NOUN
ejpam-6341	11	101	)	)	PUNCT
ejpam-6341	11	102	.	.	PUNCT
ejpam-6341	12	1	∗corresponding	∗corresponde	VERB
ejpam-6341	12	2	author	author	NOUN
ejpam-6341	12	3	.	.	PUNCT
ejpam-6341	13	1	doi	doi	NOUN
ejpam-6341	13	2	:	:	PUNCT
ejpam-6341	13	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6341	https://doi.org/10.29020/nybg.ejpam.v18i3.6341	PROPN
ejpam-6341	13	4	email	email	NOUN
ejpam-6341	13	5	addresses	address	NOUN
ejpam-6341	13	6	:	:	PUNCT
ejpam-6341	13	7	tarek.saleh@science.tanta.edu.eg	tarek.saleh@science.tanta.edu.eg	X
ejpam-6341	13	8	(	(	PUNCT
ejpam-6341	13	9	t.	t.	PROPN
ejpam-6341	13	10	s.	s.	PROPN
ejpam-6341	13	11	amer	amer	PROPN
ejpam-6341	13	12	)	)	PUNCT
ejpam-6341	13	13	,	,	PUNCT
ejpam-6341	13	14	fawzyfahmy@edu.asu.edu.eg	fawzyfahmy@edu.asu.edu.eg	PROPN
ejpam-6341	13	15	(	(	PUNCT
ejpam-6341	13	16	f.	f.	PROPN
ejpam-6341	13	17	m.	m.	PROPN
ejpam-6341	13	18	el	el	PROPN
ejpam-6341	13	19	-	-	PROPN
ejpam-6341	13	20	sabaa	sabaa	NOUN
ejpam-6341	13	21	)	)	PUNCT
ejpam-6341	13	22	,	,	PUNCT
ejpam-6341	13	23	mohamed.elfakharany@science.tanta.edu.eg	mohamed.elfakharany@science.tanta.edu.eg	PROPN
ejpam-6341	13	24	,	,	PUNCT
ejpam-6341	13	25	fakharany@aucegypt.edu	fakharany@aucegypt.edu	PROPN
ejpam-6341	13	26	(	(	PUNCT
ejpam-6341	13	27	m.	m.	NOUN
ejpam-6341	13	28	fakharany	fakharany	NOUN
ejpam-6341	13	29	)	)	PUNCT
ejpam-6341	13	30	,	,	PUNCT
ejpam-6341	13	31	hadeermahmoud@edu.asu.edu.eg	hadeermahmoud@edu.asu.edu.eg	PROPN
ejpam-6341	13	32	(	(	PUNCT
ejpam-6341	13	33	h.	h.	PROPN
ejpam-6341	13	34	m.	m.	PROPN
ejpam-6341	13	35	gad	gad	PROPN
ejpam-6341	13	36	)	)	PUNCT
ejpam-6341	13	37	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6341	13	38	1	1	NUM
ejpam-6341	13	39	copyright	copyright	NOUN
ejpam-6341	13	40	:	:	PUNCT
ejpam-6341	14	1	©	©	PROPN
ejpam-6341	14	2	2025	2025	NUM
ejpam-6341	14	3	the	the	DET
ejpam-6341	14	4	author(s	author(s	NOUN
ejpam-6341	14	5	)	)	PUNCT
ejpam-6341	14	6	.	.	PUNCT
ejpam-6341	15	1	(	(	PUNCT
ejpam-6341	15	2	cc	cc	NOUN
ejpam-6341	15	3	by	by	ADP
ejpam-6341	15	4	-	-	PUNCT
ejpam-6341	15	5	nc	nc	PROPN
ejpam-6341	15	6	4.0	4.0	NUM
ejpam-6341	15	7	)	)	PUNCT
ejpam-6341	15	8	t.	t.	PROPN
ejpam-6341	15	9	s.	s.	PROPN
ejpam-6341	15	10	amer	amer	PROPN
ejpam-6341	15	11	et	et	PROPN
ejpam-6341	15	12	al	al	PROPN
ejpam-6341	15	13	.	.	PUNCT
ejpam-6341	15	14	/	/	SYM
ejpam-6341	15	15	eur	eur	PROPN
ejpam-6341	15	16	.	.	PUNCT
ejpam-6341	16	1	j.	j.	PROPN
ejpam-6341	16	2	pure	pure	PROPN
ejpam-6341	16	3	appl	appl	PROPN
ejpam-6341	16	4	.	.	PROPN
ejpam-6341	16	5	math	math	PROPN
ejpam-6341	16	6	,	,	PUNCT
ejpam-6341	16	7	18	18	NUM
ejpam-6341	16	8	(	(	PUNCT
ejpam-6341	16	9	3	3	NUM
ejpam-6341	16	10	)	)	PUNCT
ejpam-6341	16	11	(	(	PUNCT
ejpam-6341	16	12	2025	2025	NUM
ejpam-6341	16	13	)	)	PUNCT
ejpam-6341	16	14	,	,	PUNCT
ejpam-6341	16	15	6341	6341	NUM
ejpam-6341	16	16	2	2	NUM
ejpam-6341	16	17	of	of	ADP
ejpam-6341	16	18	22	22	NUM
ejpam-6341	16	19	the	the	DET
ejpam-6341	16	20	axisymmetric	axisymmetric	ADJ
ejpam-6341	16	21	pf	pf	NOUN
ejpam-6341	16	22	of	of	ADP
ejpam-6341	16	23	the	the	DET
ejpam-6341	16	24	movement	movement	NOUN
ejpam-6341	16	25	of	of	ADP
ejpam-6341	16	26	a	a	DET
ejpam-6341	16	27	star	star	NOUN
ejpam-6341	16	28	around	around	ADP
ejpam-6341	16	29	the	the	DET
ejpam-6341	16	30	galactic	galactic	ADJ
ejpam-6341	16	31	center	center	NOUN
ejpam-6341	16	32	in	in	ADP
ejpam-6341	16	33	the	the	DET
ejpam-6341	16	34	system	system	NOUN
ejpam-6341	16	35	of	of	ADP
ejpam-6341	16	36	hh	hh	PROPN
ejpam-6341	16	37	takes	take	VERB
ejpam-6341	16	38	the	the	DET
ejpam-6341	16	39	following	follow	VERB
ejpam-6341	16	40	form	form	NOUN
ejpam-6341	16	41	v	v	ADP
ejpam-6341	16	42	=	=	SYM
ejpam-6341	16	43	1	1	NUM
ejpam-6341	16	44	2	2	NUM
ejpam-6341	16	45	r2	r2	NOUN
ejpam-6341	16	46	−	−	NOUN
ejpam-6341	16	47	1	1	NUM
ejpam-6341	16	48	3	3	NUM
ejpam-6341	16	49	r3	r3	PROPN
ejpam-6341	16	50	cos	cos	PROPN
ejpam-6341	16	51	3θ	3θ	PROPN
ejpam-6341	16	52	.	.	PUNCT
ejpam-6341	17	1	this	this	DET
ejpam-6341	17	2	function	function	NOUN
ejpam-6341	17	3	is	be	AUX
ejpam-6341	17	4	specified	specify	VERB
ejpam-6341	17	5	by	by	ADP
ejpam-6341	17	6	3	3	NUM
ejpam-6341	17	7	-	-	PUNCT
ejpam-6341	17	8	d	d	NOUN
ejpam-6341	17	9	cylindrical	cylindrical	ADJ
ejpam-6341	17	10	coordinates	coordinate	NOUN
ejpam-6341	17	11	,	,	PUNCT
ejpam-6341	17	12	where	where	SCONJ
ejpam-6341	17	13	one	one	NUM
ejpam-6341	17	14	of	of	ADP
ejpam-6341	17	15	them	they	PRON
ejpam-6341	17	16	is	be	AUX
ejpam-6341	17	17	cyclic	cyclic	ADJ
ejpam-6341	17	18	,	,	PUNCT
ejpam-6341	17	19	and	and	CCONJ
ejpam-6341	17	20	the	the	DET
ejpam-6341	17	21	problem	problem	NOUN
ejpam-6341	17	22	is	be	AUX
ejpam-6341	17	23	reduced	reduce	VERB
ejpam-6341	17	24	to	to	ADP
ejpam-6341	17	25	the	the	DET
ejpam-6341	17	26	plane	plane	NOUN
ejpam-6341	17	27	motion	motion	NOUN
ejpam-6341	17	28	.	.	PUNCT
ejpam-6341	18	1	the	the	DET
ejpam-6341	18	2	hamiltonian	hamiltonian	ADJ
ejpam-6341	18	3	function	function	NOUN
ejpam-6341	18	4	associated	associate	VERB
ejpam-6341	18	5	with	with	ADP
ejpam-6341	18	6	the	the	DET
ejpam-6341	18	7	potential	potential	ADJ
ejpam-6341	18	8	v	v	NOUN
ejpam-6341	18	9	is	be	AUX
ejpam-6341	18	10	h	h	NOUN
ejpam-6341	18	11	=	=	NOUN
ejpam-6341	18	12	1	1	NUM
ejpam-6341	18	13	2	2	NUM
ejpam-6341	18	14	(	(	PUNCT
ejpam-6341	18	15	p	p	NOUN
ejpam-6341	18	16	2	2	NUM
ejpam-6341	18	17	x	x	SYM
ejpam-6341	18	18	+	+	X
ejpam-6341	18	19	p	p	X
ejpam-6341	18	20	2	2	NUM
ejpam-6341	18	21	y	y	PROPN
ejpam-6341	18	22	+	+	PROPN
ejpam-6341	18	23	x2	x2	PROPN
ejpam-6341	19	1	+	+	CCONJ
ejpam-6341	19	2	y	y	PROPN
ejpam-6341	19	3	2	2	NUM
ejpam-6341	19	4	)	)	PUNCT
ejpam-6341	20	1	+	+	VERB
ejpam-6341	20	2	xy	xy	PROPN
ejpam-6341	20	3	2	2	NUM
ejpam-6341	20	4	−	−	NOUN
ejpam-6341	20	5	1	1	NUM
ejpam-6341	20	6	3	3	NUM
ejpam-6341	20	7	x3	x3	ADJ
ejpam-6341	20	8	.	.	PUNCT
ejpam-6341	21	1	this	this	DET
ejpam-6341	21	2	system	system	NOUN
ejpam-6341	21	3	can	can	AUX
ejpam-6341	21	4	be	be	AUX
ejpam-6341	21	5	integrated	integrate	VERB
ejpam-6341	21	6	numerically	numerically	ADV
ejpam-6341	21	7	for	for	ADP
ejpam-6341	21	8	a	a	DET
ejpam-6341	21	9	fixed	fix	VERB
ejpam-6341	21	10	value	value	NOUN
ejpam-6341	21	11	of	of	ADP
ejpam-6341	21	12	total	total	ADJ
ejpam-6341	21	13	energy	energy	NOUN
ejpam-6341	21	14	,	,	PUNCT
ejpam-6341	21	15	where	where	SCONJ
ejpam-6341	21	16	there	there	PRON
ejpam-6341	21	17	exists	exist	VERB
ejpam-6341	21	18	an	an	DET
ejpam-6341	21	19	invariant	invariant	ADJ
ejpam-6341	21	20	torus	torus	NOUN
ejpam-6341	21	21	around	around	ADP
ejpam-6341	21	22	the	the	DET
ejpam-6341	21	23	ps	ps	PROPN
ejpam-6341	21	24	of	of	ADP
ejpam-6341	21	25	the	the	DET
ejpam-6341	21	26	system	system	NOUN
ejpam-6341	21	27	,	,	PUNCT
ejpam-6341	21	28	while	while	SCONJ
ejpam-6341	21	29	the	the	DET
ejpam-6341	21	30	motion	motion	NOUN
ejpam-6341	21	31	exhibits	exhibit	VERB
ejpam-6341	21	32	large	large	ADJ
ejpam-6341	21	33	stochasticity	stochasticity	NOUN
ejpam-6341	21	34	as	as	ADP
ejpam-6341	21	35	the	the	DET
ejpam-6341	21	36	constant	constant	NOUN
ejpam-6341	21	37	of	of	ADP
ejpam-6341	21	38	energy	energy	NOUN
ejpam-6341	21	39	increases	increase	NOUN
ejpam-6341	21	40	.	.	PUNCT
ejpam-6341	22	1	hénon	hénon	NOUN
ejpam-6341	22	2	and	and	CCONJ
ejpam-6341	22	3	heiles	heile	NOUN
ejpam-6341	22	4	[	[	X
ejpam-6341	22	5	1	1	X
ejpam-6341	22	6	]	]	PUNCT
ejpam-6341	22	7	claim	claim	NOUN
ejpam-6341	22	8	that	that	SCONJ
ejpam-6341	22	9	there	there	PRON
ejpam-6341	22	10	is	be	VERB
ejpam-6341	22	11	no	no	DET
ejpam-6341	22	12	change	change	NOUN
ejpam-6341	22	13	with	with	ADP
ejpam-6341	22	14	the	the	DET
ejpam-6341	22	15	addition	addition	NOUN
ejpam-6341	22	16	of	of	ADP
ejpam-6341	22	17	potential	potential	ADJ
ejpam-6341	22	18	higher	high	ADJ
ejpam-6341	22	19	-	-	PUNCT
ejpam-6341	22	20	order	order	NOUN
ejpam-6341	22	21	terms	term	NOUN
ejpam-6341	22	22	,	,	PUNCT
ejpam-6341	22	23	while	while	SCONJ
ejpam-6341	22	24	contopoulos	contopoulos	PROPN
ejpam-6341	22	25	and	and	CCONJ
ejpam-6341	22	26	polymilis	polymilis	X
ejpam-6341	23	1	[	[	X
ejpam-6341	23	2	2	2	X
ejpam-6341	23	3	]	]	PUNCT
ejpam-6341	23	4	demonstrated	demonstrate	VERB
ejpam-6341	23	5	that	that	SCONJ
ejpam-6341	23	6	the	the	DET
ejpam-6341	23	7	hh	hh	ADJ
ejpam-6341	23	8	potential	potential	NOUN
ejpam-6341	23	9	is	be	AUX
ejpam-6341	23	10	considered	consider	VERB
ejpam-6341	23	11	as	as	ADP
ejpam-6341	23	12	toda	toda	PROPN
ejpam-6341	23	13	’s	’s	PART
ejpam-6341	23	14	lattice	lattice	PROPN
ejpam-6341	23	15	thirdorder	thirdorder	PROPN
ejpam-6341	23	16	term	term	NOUN
ejpam-6341	23	17	that	that	PRON
ejpam-6341	23	18	can	can	AUX
ejpam-6341	23	19	be	be	AUX
ejpam-6341	23	20	integrable	integrable	ADJ
ejpam-6341	23	21	in	in	ADP
ejpam-6341	23	22	a	a	DET
ejpam-6341	23	23	2	2	NUM
ejpam-6341	23	24	-	-	PUNCT
ejpam-6341	23	25	d	d	NOUN
ejpam-6341	23	26	system	system	NOUN
ejpam-6341	23	27	[	[	X
ejpam-6341	23	28	3	3	NUM
ejpam-6341	23	29	]	]	PUNCT
ejpam-6341	23	30	.	.	PUNCT
ejpam-6341	24	1	the	the	DET
ejpam-6341	24	2	generalized	generalize	VERB
ejpam-6341	24	3	hh	hh	NOUN
ejpam-6341	24	4	can	can	AUX
ejpam-6341	24	5	be	be	AUX
ejpam-6341	24	6	taken	take	VERB
ejpam-6341	24	7	the	the	DET
ejpam-6341	24	8	form	form	NOUN
ejpam-6341	24	9	h	h	NOUN
ejpam-6341	24	10	=	=	NOUN
ejpam-6341	24	11	1	1	NUM
ejpam-6341	24	12	2	2	NUM
ejpam-6341	24	13	(	(	PUNCT
ejpam-6341	24	14	p	p	NOUN
ejpam-6341	24	15	2	2	NUM
ejpam-6341	24	16	x	x	SYM
ejpam-6341	25	1	+	+	X
ejpam-6341	25	2	p	p	NOUN
ejpam-6341	25	3	2	2	NUM
ejpam-6341	25	4	y	y	NOUN
ejpam-6341	25	5	+	+	CCONJ
ejpam-6341	25	6	c1x	c1x	VERB
ejpam-6341	25	7	2	2	NUM
ejpam-6341	25	8	+	+	CCONJ
ejpam-6341	25	9	c2y	c2y	X
ejpam-6341	25	10	2	2	NUM
ejpam-6341	25	11	)	)	PUNCT
ejpam-6341	25	12	+	+	CCONJ
ejpam-6341	25	13	axy	axy	PROPN
ejpam-6341	25	14	2	2	NUM
ejpam-6341	26	1	−	−	PROPN
ejpam-6341	26	2	b	b	PROPN
ejpam-6341	26	3	3	3	NUM
ejpam-6341	26	4	x3	x3	NOUN
ejpam-6341	26	5	.	.	PUNCT
ejpam-6341	27	1	(	(	PUNCT
ejpam-6341	27	2	1	1	X
ejpam-6341	27	3	)	)	PUNCT
ejpam-6341	27	4	a	a	DET
ejpam-6341	27	5	large	large	ADJ
ejpam-6341	27	6	number	number	NOUN
ejpam-6341	27	7	of	of	ADP
ejpam-6341	27	8	articles	article	NOUN
ejpam-6341	27	9	have	have	AUX
ejpam-6341	27	10	been	be	AUX
ejpam-6341	27	11	studied	study	VERB
ejpam-6341	27	12	with	with	ADP
ejpam-6341	27	13	the	the	DET
ejpam-6341	27	14	generalized	generalized	ADJ
ejpam-6341	27	15	hh	hh	NOUN
ejpam-6341	27	16	.	.	PUNCT
ejpam-6341	28	1	in	in	ADP
ejpam-6341	28	2	[	[	X
ejpam-6341	28	3	4	4	NUM
ejpam-6341	28	4	]	]	PUNCT
ejpam-6341	28	5	,	,	PUNCT
ejpam-6341	28	6	the	the	DET
ejpam-6341	28	7	secondorder	secondorder	NOUN
ejpam-6341	28	8	averaging	averaging	NOUN
ejpam-6341	28	9	method	method	NOUN
ejpam-6341	28	10	with	with	ADP
ejpam-6341	28	11	a	a	DET
ejpam-6341	28	12	small	small	ADJ
ejpam-6341	28	13	parameter	parameter	NOUN
ejpam-6341	28	14	is	be	AUX
ejpam-6341	28	15	utilized	utilize	VERB
ejpam-6341	28	16	to	to	PART
ejpam-6341	28	17	investigate	investigate	VERB
ejpam-6341	28	18	the	the	DET
ejpam-6341	28	19	existence	existence	NOUN
ejpam-6341	28	20	of	of	ADP
ejpam-6341	28	21	ps	ps	PROPN
ejpam-6341	28	22	families	family	NOUN
ejpam-6341	28	23	under	under	ADP
ejpam-6341	28	24	specific	specific	ADJ
ejpam-6341	28	25	parameter	parameter	NOUN
ejpam-6341	28	26	conditions	condition	NOUN
ejpam-6341	28	27	,	,	PUNCT
ejpam-6341	28	28	characterizing	characterize	VERB
ejpam-6341	28	29	the	the	DET
ejpam-6341	28	30	stability	stability	NOUN
ejpam-6341	28	31	of	of	ADP
ejpam-6341	28	32	periodic	periodic	ADJ
ejpam-6341	28	33	orbits	orbit	NOUN
ejpam-6341	28	34	.	.	PUNCT
ejpam-6341	29	1	melnikov	melnikov	PROPN
ejpam-6341	29	2	’s	’s	PART
ejpam-6341	29	3	method	method	NOUN
ejpam-6341	29	4	,	,	PUNCT
ejpam-6341	29	5	as	as	SCONJ
ejpam-6341	29	6	applied	apply	VERB
ejpam-6341	29	7	in	in	ADP
ejpam-6341	29	8	[	[	X
ejpam-6341	29	9	5	5	NUM
ejpam-6341	29	10	]	]	PUNCT
ejpam-6341	29	11	,	,	PUNCT
ejpam-6341	29	12	confirms	confirm	VERB
ejpam-6341	29	13	the	the	DET
ejpam-6341	29	14	non	non	NOUN
ejpam-6341	29	15	-	-	NOUN
ejpam-6341	29	16	integrability	integrability	NOUN
ejpam-6341	29	17	of	of	ADP
ejpam-6341	29	18	neighboring	neighboring	NOUN
ejpam-6341	29	19	hh	hh	PROPN
ejpam-6341	29	20	systems	system	NOUN
ejpam-6341	29	21	and	and	CCONJ
ejpam-6341	29	22	determines	determine	VERB
ejpam-6341	29	23	the	the	DET
ejpam-6341	29	24	width	width	NOUN
ejpam-6341	29	25	of	of	ADP
ejpam-6341	29	26	the	the	DET
ejpam-6341	29	27	principal	principal	ADJ
ejpam-6341	29	28	chaotic	chaotic	ADJ
ejpam-6341	29	29	layer	layer	NOUN
ejpam-6341	29	30	responsible	responsible	ADJ
ejpam-6341	29	31	for	for	ADP
ejpam-6341	29	32	this	this	DET
ejpam-6341	29	33	behavior	behavior	NOUN
ejpam-6341	29	34	.	.	PUNCT
ejpam-6341	30	1	in	in	ADP
ejpam-6341	30	2	[	[	X
ejpam-6341	30	3	6	6	NUM
ejpam-6341	30	4	]	]	PUNCT
ejpam-6341	30	5	,	,	PUNCT
ejpam-6341	30	6	second	second	ADJ
ejpam-6341	30	7	-	-	PUNCT
ejpam-6341	30	8	order	order	NOUN
ejpam-6341	30	9	averaging	averaging	NOUN
ejpam-6341	30	10	theory	theory	NOUN
ejpam-6341	30	11	is	be	AUX
ejpam-6341	30	12	applied	apply	VERB
ejpam-6341	30	13	to	to	PART
ejpam-6341	30	14	study	study	VERB
ejpam-6341	30	15	periodic	periodic	ADJ
ejpam-6341	30	16	orbits	orbit	NOUN
ejpam-6341	30	17	in	in	ADP
ejpam-6341	30	18	generalized	generalized	ADJ
ejpam-6341	30	19	hh	hh	PROPN
ejpam-6341	30	20	systems	system	NOUN
ejpam-6341	30	21	.	.	PUNCT
ejpam-6341	31	1	furthermore	furthermore	ADV
ejpam-6341	31	2	,	,	PUNCT
ejpam-6341	31	3	in	in	ADP
ejpam-6341	31	4	quantum	quantum	ADJ
ejpam-6341	31	5	mechanics	mechanic	NOUN
ejpam-6341	31	6	,	,	PUNCT
ejpam-6341	31	7	the	the	DET
ejpam-6341	31	8	hh	hh	PROPN
ejpam-6341	31	9	model	model	NOUN
ejpam-6341	31	10	serves	serve	VERB
ejpam-6341	31	11	as	as	ADP
ejpam-6341	31	12	a	a	DET
ejpam-6341	31	13	representation	representation	NOUN
ejpam-6341	31	14	of	of	ADP
ejpam-6341	31	15	atomic	atomic	ADJ
ejpam-6341	31	16	oscillators	oscillator	NOUN
ejpam-6341	31	17	in	in	ADP
ejpam-6341	31	18	triatomic	triatomic	ADJ
ejpam-6341	31	19	molecules	molecule	NOUN
ejpam-6341	31	20	.	.	PUNCT
ejpam-6341	32	1	in	in	ADP
ejpam-6341	32	2	[	[	X
ejpam-6341	32	3	7	7	NUM
ejpam-6341	32	4	]	]	PUNCT
ejpam-6341	32	5	,	,	PUNCT
ejpam-6341	32	6	the	the	DET
ejpam-6341	32	7	nonlinear	nonlinear	ADJ
ejpam-6341	32	8	hh	hh	ADJ
ejpam-6341	32	9	system	system	NOUN
ejpam-6341	32	10	is	be	AUX
ejpam-6341	32	11	analyzed	analyze	VERB
ejpam-6341	32	12	to	to	PART
ejpam-6341	32	13	study	study	VERB
ejpam-6341	32	14	the	the	DET
ejpam-6341	32	15	wave	wave	NOUN
ejpam-6341	32	16	packet	packet	NOUN
ejpam-6341	32	17	behavior	behavior	NOUN
ejpam-6341	32	18	of	of	ADP
ejpam-6341	32	19	bound	bind	VERB
ejpam-6341	32	20	states	state	NOUN
ejpam-6341	32	21	and	and	CCONJ
ejpam-6341	32	22	the	the	DET
ejpam-6341	32	23	connection	connection	NOUN
ejpam-6341	32	24	between	between	ADP
ejpam-6341	32	25	quantum	quantum	NOUN
ejpam-6341	32	26	and	and	CCONJ
ejpam-6341	32	27	classical	classical	ADJ
ejpam-6341	32	28	dynamics	dynamic	NOUN
ejpam-6341	32	29	.	.	PUNCT
ejpam-6341	33	1	meanwhile	meanwhile	ADV
ejpam-6341	33	2	,	,	PUNCT
ejpam-6341	33	3	[	[	X
ejpam-6341	33	4	8	8	NUM
ejpam-6341	33	5	]	]	PUNCT
ejpam-6341	33	6	investigates	investigate	VERB
ejpam-6341	33	7	the	the	DET
ejpam-6341	33	8	non	non	ADJ
ejpam-6341	33	9	-	-	ADJ
ejpam-6341	33	10	uniform	uniform	ADJ
ejpam-6341	33	11	motion	motion	NOUN
ejpam-6341	33	12	of	of	ADP
ejpam-6341	33	13	charged	charge	VERB
ejpam-6341	33	14	particles	particle	NOUN
ejpam-6341	33	15	in	in	ADP
ejpam-6341	33	16	a	a	DET
ejpam-6341	33	17	crystal	crystal	NOUN
ejpam-6341	33	18	under	under	ADP
ejpam-6341	33	19	the	the	DET
ejpam-6341	33	20	hh	hh	PROPN
ejpam-6341	33	21	potential	potential	NOUN
ejpam-6341	33	22	.	.	PUNCT
ejpam-6341	34	1	the	the	DET
ejpam-6341	34	2	other	other	ADJ
ejpam-6341	34	3	model	model	NOUN
ejpam-6341	34	4	of	of	ADP
ejpam-6341	34	5	study	study	NOUN
ejpam-6341	34	6	in	in	ADP
ejpam-6341	34	7	this	this	DET
ejpam-6341	34	8	article	article	NOUN
ejpam-6341	34	9	is	be	AUX
ejpam-6341	34	10	the	the	DET
ejpam-6341	34	11	quartic	quartic	ADJ
ejpam-6341	34	12	pf	pf	NOUN
ejpam-6341	34	13	,	,	PUNCT
ejpam-6341	34	14	which	which	PRON
ejpam-6341	34	15	can	can	AUX
ejpam-6341	34	16	be	be	AUX
ejpam-6341	34	17	taken	take	VERB
ejpam-6341	34	18	in	in	ADP
ejpam-6341	34	19	the	the	DET
ejpam-6341	34	20	form	form	NOUN
ejpam-6341	34	21	v	v	ADP
ejpam-6341	34	22	=	=	SYM
ejpam-6341	34	23	αx4	αx4	NOUN
ejpam-6341	34	24	+	+	CCONJ
ejpam-6341	34	25	δx2y2	δx2y2	X
ejpam-6341	34	26	+	+	X
ejpam-6341	34	27	βy4	βy4	ADJ
ejpam-6341	34	28	.	.	PUNCT
ejpam-6341	35	1	(	(	PUNCT
ejpam-6341	35	2	2	2	NUM
ejpam-6341	35	3	)	)	PUNCT
ejpam-6341	35	4	by	by	ADP
ejpam-6341	35	5	adding	add	VERB
ejpam-6341	35	6	two	two	NUM
ejpam-6341	35	7	coupled	couple	VERB
ejpam-6341	35	8	quadratic	quadratic	ADJ
ejpam-6341	35	9	harmonic	harmonic	ADJ
ejpam-6341	35	10	oscillators	oscillator	NOUN
ejpam-6341	35	11	ωx2	ωx2	PRON
ejpam-6341	35	12	+	+	CCONJ
ejpam-6341	35	13	σy2	σy2	NOUN
ejpam-6341	35	14	to	to	ADP
ejpam-6341	35	15	the	the	DET
ejpam-6341	35	16	function	function	NOUN
ejpam-6341	35	17	v	v	NOUN
ejpam-6341	35	18	,	,	PUNCT
ejpam-6341	35	19	then	then	ADV
ejpam-6341	35	20	we	we	PRON
ejpam-6341	35	21	have	have	VERB
ejpam-6341	35	22	a	a	DET
ejpam-6341	35	23	model	model	NOUN
ejpam-6341	35	24	which	which	PRON
ejpam-6341	35	25	was	be	AUX
ejpam-6341	35	26	studied	study	VERB
ejpam-6341	35	27	in	in	ADP
ejpam-6341	35	28	several	several	ADJ
ejpam-6341	35	29	fields	field	NOUN
ejpam-6341	35	30	in	in	ADP
ejpam-6341	35	31	physics	physics	NOUN
ejpam-6341	35	32	:	:	PUNCT
ejpam-6341	35	33	in	in	ADP
ejpam-6341	35	34	quantum	quantum	ADJ
ejpam-6341	35	35	mechanics	mechanic	NOUN
ejpam-6341	35	36	and	and	CCONJ
ejpam-6341	35	37	quantum	quantum	NOUN
ejpam-6341	35	38	field	field	NOUN
ejpam-6341	35	39	theory	theory	NOUN
ejpam-6341	35	40	,	,	PUNCT
ejpam-6341	35	41	see	see	VERB
ejpam-6341	35	42	[	[	X
ejpam-6341	35	43	9	9	NUM
ejpam-6341	35	44	]	]	PUNCT
ejpam-6341	35	45	,	,	PUNCT
ejpam-6341	35	46	in	in	ADP
ejpam-6341	35	47	chemical	chemical	ADJ
ejpam-6341	35	48	physics	physics	NOUN
ejpam-6341	36	1	[	[	X
ejpam-6341	36	2	10	10	NUM
ejpam-6341	36	3	]	]	PUNCT
ejpam-6341	36	4	and	and	CCONJ
ejpam-6341	36	5	in	in	ADP
ejpam-6341	36	6	scalar	scalar	ADJ
ejpam-6341	36	7	field	field	NOUN
ejpam-6341	36	8	theory	theory	NOUN
ejpam-6341	36	9	as	as	SCONJ
ejpam-6341	36	10	presented	present	VERB
ejpam-6341	36	11	in	in	ADP
ejpam-6341	36	12	[	[	X
ejpam-6341	36	13	11	11	NUM
ejpam-6341	36	14	]	]	PUNCT
ejpam-6341	36	15	.	.	PUNCT
ejpam-6341	37	1	in	in	ADP
ejpam-6341	37	2	galactic	galactic	ADJ
ejpam-6341	37	3	motion	motion	NOUN
ejpam-6341	37	4	,	,	PUNCT
ejpam-6341	37	5	the	the	DET
ejpam-6341	37	6	model	model	NOUN
ejpam-6341	37	7	has	have	AUX
ejpam-6341	37	8	been	be	AUX
ejpam-6341	37	9	studied	study	VERB
ejpam-6341	37	10	by	by	ADP
ejpam-6341	37	11	many	many	ADJ
ejpam-6341	37	12	authors	author	NOUN
ejpam-6341	37	13	.	.	PUNCT
ejpam-6341	38	1	pucacco	pucacco	NOUN
ejpam-6341	38	2	et	et	NOUN
ejpam-6341	38	3	al.[12	al.[12	PROPN
ejpam-6341	38	4	]	]	PUNCT
ejpam-6341	38	5	studied	study	VERB
ejpam-6341	38	6	the	the	DET
ejpam-6341	38	7	galactic	galactic	ADJ
ejpam-6341	38	8	potential	potential	NOUN
ejpam-6341	38	9	(	(	PUNCT
ejpam-6341	38	10	gp	gp	NOUN
ejpam-6341	38	11	)	)	PUNCT
ejpam-6341	38	12	v	v	NOUN
ejpam-6341	38	13	(	(	PUNCT
ejpam-6341	38	14	x2	x2	PROPN
ejpam-6341	38	15	,	,	PUNCT
ejpam-6341	38	16	y2	y2	PROPN
ejpam-6341	38	17	)	)	PUNCT
ejpam-6341	38	18	which	which	PRON
ejpam-6341	38	19	is	be	AUX
ejpam-6341	38	20	the	the	DET
ejpam-6341	38	21	modeling	modeling	NOUN
ejpam-6341	38	22	of	of	ADP
ejpam-6341	38	23	elliptical	elliptical	ADJ
ejpam-6341	38	24	galaxies	galaxy	NOUN
ejpam-6341	38	25	.	.	PUNCT
ejpam-6341	39	1	the	the	DET
ejpam-6341	39	2	armbrusterguckenheimer	armbrusterguckenheimer	PROPN
ejpam-6341	39	3	-	-	PUNCT
ejpam-6341	39	4	kim	kim	PROPN
ejpam-6341	39	5	(	(	PUNCT
ejpam-6341	39	6	agk	agk	PROPN
ejpam-6341	39	7	)	)	PUNCT
ejpam-6341	39	8	potential	potential	NOUN
ejpam-6341	39	9	[	[	X
ejpam-6341	39	10	13	13	NUM
ejpam-6341	39	11	]	]	PUNCT
ejpam-6341	39	12	is	be	AUX
ejpam-6341	39	13	another	another	DET
ejpam-6341	39	14	model	model	NOUN
ejpam-6341	39	15	that	that	PRON
ejpam-6341	39	16	consists	consist	VERB
ejpam-6341	39	17	of	of	ADP
ejpam-6341	39	18	a	a	DET
ejpam-6341	39	19	2	2	NUM
ejpam-6341	39	20	-	-	PUNCT
ejpam-6341	39	21	d	d	NOUN
ejpam-6341	39	22	harmonic	harmonic	ADJ
ejpam-6341	39	23	potential	potential	NOUN
ejpam-6341	39	24	with	with	ADP
ejpam-6341	39	25	quartic	quartic	ADJ
ejpam-6341	39	26	terms	term	NOUN
ejpam-6341	39	27	.	.	PUNCT
ejpam-6341	40	1	friedmann	friedmann	ADJ
ejpam-6341	40	2	-	-	PUNCT
ejpam-6341	40	3	roberston	roberston	NOUN
ejpam-6341	40	4	-	-	PUNCT
ejpam-6341	40	5	walker	walker	NOUN
ejpam-6341	40	6	(	(	PUNCT
ejpam-6341	40	7	frw	frw	PROPN
ejpam-6341	40	8	)	)	PUNCT
ejpam-6341	40	9	potential	potential	NOUN
ejpam-6341	40	10	was	be	AUX
ejpam-6341	40	11	introduced	introduce	VERB
ejpam-6341	40	12	in	in	ADP
ejpam-6341	40	13	[	[	X
ejpam-6341	40	14	14	14	NUM
ejpam-6341	40	15	]	]	X
ejpam-6341	40	16	,	,	PUNCT
ejpam-6341	40	17	a	a	DET
ejpam-6341	40	18	model	model	NOUN
ejpam-6341	40	19	of	of	ADP
ejpam-6341	40	20	gp	gp	NOUN
ejpam-6341	40	21	,	,	PUNCT
ejpam-6341	40	22	which	which	PRON
ejpam-6341	40	23	modulates	modulate	VERB
ejpam-6341	40	24	containing	contain	VERB
ejpam-6341	40	25	a	a	DET
ejpam-6341	40	26	positive	positive	ADJ
ejpam-6341	40	27	or	or	CCONJ
ejpam-6341	40	28	t.	t.	PROPN
ejpam-6341	40	29	s.	s.	PROPN
ejpam-6341	40	30	amer	amer	PROPN
ejpam-6341	40	31	et	et	PROPN
ejpam-6341	40	32	al	al	PROPN
ejpam-6341	40	33	.	.	PUNCT
ejpam-6341	40	34	/	/	SYM
ejpam-6341	40	35	eur	eur	PROPN
ejpam-6341	40	36	.	.	PUNCT
ejpam-6341	41	1	j.	j.	PROPN
ejpam-6341	41	2	pure	pure	PROPN
ejpam-6341	41	3	appl	appl	PROPN
ejpam-6341	41	4	.	.	PROPN
ejpam-6341	41	5	math	math	PROPN
ejpam-6341	41	6	,	,	PUNCT
ejpam-6341	41	7	18	18	NUM
ejpam-6341	41	8	(	(	PUNCT
ejpam-6341	41	9	3	3	NUM
ejpam-6341	41	10	)	)	PUNCT
ejpam-6341	41	11	(	(	PUNCT
ejpam-6341	41	12	2025	2025	NUM
ejpam-6341	41	13	)	)	PUNCT
ejpam-6341	41	14	,	,	PUNCT
ejpam-6341	41	15	6341	6341	NUM
ejpam-6341	41	16	3	3	NUM
ejpam-6341	41	17	of	of	ADP
ejpam-6341	41	18	22	22	NUM
ejpam-6341	41	19	negative	negative	ADJ
ejpam-6341	41	20	gravitational	gravitational	ADJ
ejpam-6341	41	21	coupled	couple	VERB
ejpam-6341	41	22	scalar	scalar	ADJ
ejpam-6341	41	23	field	field	NOUN
ejpam-6341	41	24	in	in	ADP
ejpam-6341	41	25	the	the	DET
ejpam-6341	41	26	loop	loop	NOUN
ejpam-6341	41	27	quantum	quantum	ADJ
ejpam-6341	41	28	cosmology	cosmology	NOUN
ejpam-6341	41	29	scenario	scenario	NOUN
ejpam-6341	41	30	.	.	PUNCT
ejpam-6341	42	1	by	by	ADP
ejpam-6341	42	2	using	use	VERB
ejpam-6341	42	3	painlevé	painlevé	NOUN
ejpam-6341	42	4	property	property	NOUN
ejpam-6341	42	5	[	[	X
ejpam-6341	42	6	15	15	NUM
ejpam-6341	42	7	,	,	PUNCT
ejpam-6341	42	8	16	16	NUM
ejpam-6341	42	9	]	]	PUNCT
ejpam-6341	42	10	,	,	PUNCT
ejpam-6341	42	11	the	the	DET
ejpam-6341	42	12	generalized	generalize	VERB
ejpam-6341	42	13	hh	hh	ADJ
ejpam-6341	42	14	system	system	NOUN
ejpam-6341	42	15	and	and	CCONJ
ejpam-6341	42	16	quartic	quartic	ADJ
ejpam-6341	42	17	potential	potential	NOUN
ejpam-6341	42	18	can	can	AUX
ejpam-6341	42	19	be	be	AUX
ejpam-6341	42	20	integrated	integrate	VERB
ejpam-6341	42	21	for	for	ADP
ejpam-6341	42	22	the	the	DET
ejpam-6341	42	23	special	special	ADJ
ejpam-6341	42	24	values	value	NOUN
ejpam-6341	42	25	of	of	ADP
ejpam-6341	42	26	constants	constant	NOUN
ejpam-6341	42	27	as	as	SCONJ
ejpam-6341	42	28	follows	follow	VERB
ejpam-6341	42	29	:	:	PUNCT
ejpam-6341	42	30	in	in	ADP
ejpam-6341	42	31	generalized	generalized	ADJ
ejpam-6341	42	32	hh	hh	PROPN
ejpam-6341	42	33	:	:	PUNCT
ejpam-6341	42	34	(	(	PUNCT
ejpam-6341	42	35	i	i	NOUN
ejpam-6341	42	36	)	)	PUNCT
ejpam-6341	42	37	b	b	X
ejpam-6341	42	38	/	/	SYM
ejpam-6341	42	39	a	a	DET
ejpam-6341	42	40	=	=	NOUN
ejpam-6341	42	41	−1	−1	NOUN
ejpam-6341	42	42	,	,	PUNCT
ejpam-6341	42	43	c1	c1	PROPN
ejpam-6341	42	44	=	=	PROPN
ejpam-6341	42	45	c2	c2	PROPN
ejpam-6341	42	46	,	,	PUNCT
ejpam-6341	42	47	(	(	PUNCT
ejpam-6341	42	48	ii	ii	NOUN
ejpam-6341	42	49	)	)	PUNCT
ejpam-6341	42	50	b	b	NOUN
ejpam-6341	42	51	/	/	SYM
ejpam-6341	42	52	a	a	PRON
ejpam-6341	42	53	=	=	ADJ
ejpam-6341	42	54	−6	−6	NOUN
ejpam-6341	42	55	,	,	PUNCT
ejpam-6341	42	56	c1	c1	PROPN
ejpam-6341	42	57	,	,	PUNCT
ejpam-6341	42	58	c2	c2	PROPN
ejpam-6341	42	59	arbitrary	arbitrary	ADJ
ejpam-6341	42	60	,	,	PUNCT
ejpam-6341	42	61	(	(	PUNCT
ejpam-6341	42	62	iii	iii	NOUN
ejpam-6341	42	63	)	)	PUNCT
ejpam-6341	42	64	b	b	NOUN
ejpam-6341	42	65	/	/	SYM
ejpam-6341	42	66	a	a	DET
ejpam-6341	42	67	=	=	ADJ
ejpam-6341	42	68	−16	−16	PROPN
ejpam-6341	42	69	,	,	PUNCT
ejpam-6341	42	70	c1	c1	NOUN
ejpam-6341	42	71	=	=	PROPN
ejpam-6341	42	72	16c2	16c2	NUM
ejpam-6341	42	73	.	.	PUNCT
ejpam-6341	43	1	for	for	ADP
ejpam-6341	43	2	quartic	quartic	ADJ
ejpam-6341	43	3	potential	potential	NOUN
ejpam-6341	43	4	:	:	PUNCT
ejpam-6341	43	5	(	(	PUNCT
ejpam-6341	43	6	i	i	NOUN
ejpam-6341	43	7	)	)	PUNCT
ejpam-6341	43	8	α	α	X
ejpam-6341	43	9	=	=	SYM
ejpam-6341	43	10	β	β	X
ejpam-6341	43	11	,	,	PUNCT
ejpam-6341	43	12	δ	δ	PROPN
ejpam-6341	43	13	=	=	SYM
ejpam-6341	43	14	6β	6β	NOUN
ejpam-6341	43	15	,	,	PUNCT
ejpam-6341	43	16	(	(	PUNCT
ejpam-6341	43	17	ii	ii	NOUN
ejpam-6341	43	18	)	)	PUNCT
ejpam-6341	43	19	α	α	NOUN
ejpam-6341	43	20	=	=	SYM
ejpam-6341	43	21	β	β	X
ejpam-6341	43	22	,	,	PUNCT
ejpam-6341	43	23	δ	δ	NOUN
ejpam-6341	43	24	=	=	PUNCT
ejpam-6341	43	25	2β	2β	NUM
ejpam-6341	43	26	,	,	PUNCT
ejpam-6341	43	27	(	(	PUNCT
ejpam-6341	43	28	iii	iii	NOUN
ejpam-6341	43	29	)	)	PUNCT
ejpam-6341	43	30	β	β	NOUN
ejpam-6341	43	31	=	=	SYM
ejpam-6341	43	32	16α	16α	NUM
ejpam-6341	43	33	,	,	PUNCT
ejpam-6341	43	34	δ	δ	NOUN
ejpam-6341	43	35	=	=	NOUN
ejpam-6341	43	36	12α	12α	X
ejpam-6341	43	37	,	,	PUNCT
ejpam-6341	43	38	(	(	PUNCT
ejpam-6341	43	39	iv	iv	X
ejpam-6341	43	40	)	)	PUNCT
ejpam-6341	43	41	β	β	NOUN
ejpam-6341	43	42	=	=	SYM
ejpam-6341	43	43	8α	8α	NUM
ejpam-6341	43	44	,	,	PUNCT
ejpam-6341	43	45	δ	δ	PROPN
ejpam-6341	43	46	=	=	PROPN
ejpam-6341	43	47	6α	6α	NOUN
ejpam-6341	43	48	,	,	PUNCT
ejpam-6341	43	49	where	where	SCONJ
ejpam-6341	43	50	there	there	PRON
ejpam-6341	43	51	exists	exist	VERB
ejpam-6341	43	52	an	an	DET
ejpam-6341	43	53	invariant	invariant	ADJ
ejpam-6341	43	54	torus	torus	NOUN
ejpam-6341	43	55	around	around	ADP
ejpam-6341	43	56	the	the	DET
ejpam-6341	43	57	ps	ps	NOUN
ejpam-6341	43	58	of	of	ADP
ejpam-6341	43	59	the	the	DET
ejpam-6341	43	60	system	system	NOUN
ejpam-6341	43	61	.	.	PUNCT
ejpam-6341	44	1	it	it	PRON
ejpam-6341	44	2	is	be	AUX
ejpam-6341	44	3	well	well	ADV
ejpam-6341	44	4	known	know	VERB
ejpam-6341	44	5	that	that	SCONJ
ejpam-6341	44	6	the	the	DET
ejpam-6341	44	7	first	first	ADJ
ejpam-6341	44	8	two	two	NUM
ejpam-6341	44	9	cases	case	NOUN
ejpam-6341	44	10	of	of	ADP
ejpam-6341	44	11	generalized	generalized	ADJ
ejpam-6341	44	12	hh	hh	NOUN
ejpam-6341	44	13	and	and	CCONJ
ejpam-6341	44	14	the	the	DET
ejpam-6341	44	15	first	first	ADJ
ejpam-6341	44	16	three	three	NUM
ejpam-6341	44	17	cases	case	NOUN
ejpam-6341	44	18	of	of	ADP
ejpam-6341	44	19	quartic	quartic	ADJ
ejpam-6341	44	20	potential	potential	NOUN
ejpam-6341	44	21	have	have	AUX
ejpam-6341	44	22	been	be	AUX
ejpam-6341	44	23	separated	separate	VERB
ejpam-6341	44	24	,	,	PUNCT
ejpam-6341	44	25	and	and	CCONJ
ejpam-6341	44	26	the	the	DET
ejpam-6341	44	27	second	second	ADJ
ejpam-6341	44	28	invariant	invariant	ADJ
ejpam-6341	44	29	integrals	integral	NOUN
ejpam-6341	44	30	was	be	AUX
ejpam-6341	44	31	given	give	VERB
ejpam-6341	44	32	in	in	ADP
ejpam-6341	44	33	quadratic	quadratic	ADJ
ejpam-6341	44	34	in	in	ADP
ejpam-6341	44	35	momenta	momenta	NOUN
ejpam-6341	44	36	see	see	NOUN
ejpam-6341	44	37	for	for	ADP
ejpam-6341	44	38	instance	instance	NOUN
ejpam-6341	44	39	[	[	X
ejpam-6341	44	40	15–20	15–20	NUM
ejpam-6341	44	41	]	]	PUNCT
ejpam-6341	44	42	.	.	PUNCT
ejpam-6341	45	1	there	there	PRON
ejpam-6341	45	2	are	be	VERB
ejpam-6341	45	3	some	some	DET
ejpam-6341	45	4	problems	problem	NOUN
ejpam-6341	45	5	in	in	ADP
ejpam-6341	45	6	which	which	PRON
ejpam-6341	45	7	the	the	DET
ejpam-6341	45	8	conditions	condition	NOUN
ejpam-6341	45	9	for	for	ADP
ejpam-6341	45	10	integrability	integrability	NOUN
ejpam-6341	45	11	have	have	AUX
ejpam-6341	45	12	been	be	AUX
ejpam-6341	45	13	defined	define	VERB
ejpam-6341	45	14	,	,	PUNCT
ejpam-6341	45	15	but	but	CCONJ
ejpam-6341	45	16	separation	separation	NOUN
ejpam-6341	45	17	has	have	AUX
ejpam-6341	45	18	not	not	PART
ejpam-6341	45	19	been	be	AUX
ejpam-6341	45	20	achieved	achieve	VERB
ejpam-6341	45	21	.	.	PUNCT
ejpam-6341	46	1	the	the	DET
ejpam-6341	46	2	last	last	ADJ
ejpam-6341	46	3	cases	case	NOUN
ejpam-6341	46	4	of	of	ADP
ejpam-6341	46	5	generalized	generalized	ADJ
ejpam-6341	46	6	hh	hh	NOUN
ejpam-6341	46	7	and	and	CCONJ
ejpam-6341	46	8	quartic	quartic	ADJ
ejpam-6341	46	9	potential	potential	NOUN
ejpam-6341	46	10	are	be	AUX
ejpam-6341	46	11	belonging	belong	VERB
ejpam-6341	46	12	to	to	ADP
ejpam-6341	46	13	this	this	DET
ejpam-6341	46	14	group	group	NOUN
ejpam-6341	46	15	,	,	PUNCT
ejpam-6341	46	16	where	where	SCONJ
ejpam-6341	46	17	the	the	DET
ejpam-6341	46	18	invariant	invariant	ADJ
ejpam-6341	46	19	integral	integral	NOUN
ejpam-6341	46	20	for	for	ADP
ejpam-6341	46	21	both	both	DET
ejpam-6341	46	22	cases	case	NOUN
ejpam-6341	46	23	is	be	AUX
ejpam-6341	46	24	quartic	quartic	ADJ
ejpam-6341	46	25	in	in	ADP
ejpam-6341	46	26	momenta	momenta	ADJ
ejpam-6341	46	27	ighh	ighh	NOUN
ejpam-6341	46	28	=	=	PUNCT
ejpam-6341	47	1	p	p	X
ejpam-6341	47	2	4	4	NUM
ejpam-6341	47	3	y	y	NOUN
ejpam-6341	47	4	+	+	NUM
ejpam-6341	47	5	2y	2y	PROPN
ejpam-6341	47	6	2(c2	2(c2	NUM
ejpam-6341	48	1	+	+	CCONJ
ejpam-6341	48	2	2ax)p	2ax)p	NUM
ejpam-6341	48	3	2	2	NUM
ejpam-6341	48	4	y	y	NOUN
ejpam-6341	48	5	+	+	PRON
ejpam-6341	48	6	c22y	c22y	VERB
ejpam-6341	48	7	4	4	NUM
ejpam-6341	48	8	−	−	PROPN
ejpam-6341	48	9	4	4	NUM
ejpam-6341	48	10	3a	3a	NUM
ejpam-6341	48	11	(	(	PUNCT
ejpam-6341	48	12	(	(	PUNCT
ejpam-6341	48	13	pxpy	pxpy	VERB
ejpam-6341	48	14	+	+	CCONJ
ejpam-6341	48	15	a	a	DET
ejpam-6341	48	16	6y	6y	NOUN
ejpam-6341	48	17	3	3	X
ejpam-6341	48	18	)	)	PUNCT
ejpam-6341	48	19	y	y	NOUN
ejpam-6341	48	20	3	3	NUM
ejpam-6341	48	21	+	+	CCONJ
ejpam-6341	48	22	(	(	PUNCT
ejpam-6341	48	23	c2	c2	PROPN
ejpam-6341	48	24	+	+	CCONJ
ejpam-6341	48	25	ax)xy	ax)xy	X
ejpam-6341	48	26	4	4	NUM
ejpam-6341	48	27	)	)	PUNCT
ejpam-6341	48	28	,	,	PUNCT
ejpam-6341	48	29	iquad	iquad	ADJ
ejpam-6341	48	30	=	=	PUNCT
ejpam-6341	48	31	p4x	p4x	PUNCT
ejpam-6341	48	32	+	+	NUM
ejpam-6341	48	33	4x2(x2	4x2(x2	NOUN
ejpam-6341	49	1	+	+	NOUN
ejpam-6341	49	2	6y2)p2x	6y2)p2x	PROPN
ejpam-6341	50	1	+	+	NUM
ejpam-6341	50	2	4x4p2x	4x4p2x	PROPN
ejpam-6341	51	1	−	−	NOUN
ejpam-6341	51	2	16x3ypxpy	16x3ypxpy	NOUN
ejpam-6341	51	3	+	+	CCONJ
ejpam-6341	51	4	4x4(x4	4x4(x4	NUM
ejpam-6341	51	5	+	+	NOUN
ejpam-6341	51	6	4x2y2	4x2y2	NUM
ejpam-6341	51	7	+	+	CCONJ
ejpam-6341	51	8	4y4	4y4	NUM
ejpam-6341	51	9	)	)	PUNCT
ejpam-6341	51	10	.	.	PUNCT
ejpam-6341	52	1	if	if	SCONJ
ejpam-6341	52	2	there	there	PRON
ejpam-6341	52	3	is	be	VERB
ejpam-6341	52	4	a	a	DET
ejpam-6341	52	5	second	second	ADJ
ejpam-6341	52	6	independent	independent	ADJ
ejpam-6341	52	7	invariant	invariant	ADJ
ejpam-6341	52	8	integral	integral	ADJ
ejpam-6341	52	9	,	,	PUNCT
ejpam-6341	52	10	then	then	ADV
ejpam-6341	52	11	the	the	DET
ejpam-6341	52	12	2	2	NUM
ejpam-6341	52	13	-	-	PUNCT
ejpam-6341	52	14	dof	dof	NOUN
ejpam-6341	52	15	system	system	NOUN
ejpam-6341	52	16	is	be	AUX
ejpam-6341	52	17	integrable	integrable	ADJ
ejpam-6341	52	18	.	.	PUNCT
ejpam-6341	53	1	the	the	DET
ejpam-6341	53	2	second	second	ADJ
ejpam-6341	53	3	invariant	invariant	NOUN
ejpam-6341	53	4	can	can	AUX
ejpam-6341	53	5	be	be	AUX
ejpam-6341	53	6	given	give	VERB
ejpam-6341	53	7	by	by	ADP
ejpam-6341	53	8	different	different	ADJ
ejpam-6341	53	9	methods	method	NOUN
ejpam-6341	53	10	:	:	PUNCT
ejpam-6341	53	11	whittaker	whittaker	PROPN
ejpam-6341	54	1	[	[	X
ejpam-6341	54	2	21	21	NUM
ejpam-6341	54	3	]	]	PUNCT
ejpam-6341	54	4	considered	consider	VERB
ejpam-6341	54	5	the	the	DET
ejpam-6341	54	6	invariant	invariant	ADJ
ejpam-6341	54	7	integral	integral	ADJ
ejpam-6341	54	8	which	which	PRON
ejpam-6341	54	9	is	be	AUX
ejpam-6341	54	10	quadratic	quadratic	ADJ
ejpam-6341	54	11	in	in	ADP
ejpam-6341	54	12	momenta	momenta	NOUN
ejpam-6341	54	13	,	,	PUNCT
ejpam-6341	54	14	and	and	CCONJ
ejpam-6341	54	15	he	he	PRON
ejpam-6341	54	16	studied	study	VERB
ejpam-6341	54	17	some	some	DET
ejpam-6341	54	18	special	special	ADJ
ejpam-6341	54	19	cases	case	NOUN
ejpam-6341	54	20	to	to	PART
ejpam-6341	54	21	get	get	VERB
ejpam-6341	54	22	the	the	DET
ejpam-6341	54	23	integral	integral	ADJ
ejpam-6341	54	24	.	.	PUNCT
ejpam-6341	55	1	dorizzi	dorizzi	NOUN
ejpam-6341	55	2	et	et	PROPN
ejpam-6341	55	3	al	al	PROPN
ejpam-6341	55	4	.	.	PUNCT
ejpam-6341	56	1	[	[	X
ejpam-6341	56	2	22	22	NUM
ejpam-6341	56	3	]	]	PUNCT
ejpam-6341	56	4	applied	apply	VERB
ejpam-6341	56	5	the	the	DET
ejpam-6341	56	6	whittaker	whittaker	NOUN
ejpam-6341	56	7	-	-	PUNCT
ejpam-6341	56	8	daraboux	daraboux	NOUN
ejpam-6341	56	9	equation	equation	NOUN
ejpam-6341	56	10	,	,	PUNCT
ejpam-6341	56	11	and	and	CCONJ
ejpam-6341	56	12	by	by	ADP
ejpam-6341	56	13	rotation	rotation	NOUN
ejpam-6341	56	14	of	of	ADP
ejpam-6341	56	15	the	the	DET
ejpam-6341	56	16	coordinates	coordinate	NOUN
ejpam-6341	56	17	,	,	PUNCT
ejpam-6341	56	18	they	they	PRON
ejpam-6341	56	19	introduced	introduce	VERB
ejpam-6341	56	20	a	a	DET
ejpam-6341	56	21	partial	partial	ADJ
ejpam-6341	56	22	differential	differential	NOUN
ejpam-6341	56	23	equation	equation	NOUN
ejpam-6341	56	24	in	in	ADP
ejpam-6341	56	25	the	the	DET
ejpam-6341	56	26	form	form	NOUN
ejpam-6341	56	27	2xvxy	2xvxy	NUM
ejpam-6341	57	1	+	+	NUM
ejpam-6341	57	2	3vy	3vy	ADJ
ejpam-6341	57	3	+	+	CCONJ
ejpam-6341	57	4	y(vyy	y(vyy	NOUN
ejpam-6341	57	5	−	−	PROPN
ejpam-6341	57	6	vxx	vxx	PROPN
ejpam-6341	57	7	)	)	PUNCT
ejpam-6341	58	1	=	=	SYM
ejpam-6341	58	2	0	0	NUM
ejpam-6341	58	3	,	,	PUNCT
ejpam-6341	58	4	(	(	PUNCT
ejpam-6341	58	5	3	3	X
ejpam-6341	58	6	)	)	PUNCT
ejpam-6341	58	7	with	with	ADP
ejpam-6341	58	8	the	the	DET
ejpam-6341	58	9	hamiltonian	hamiltonian	ADJ
ejpam-6341	58	10	function	function	NOUN
ejpam-6341	58	11	h	h	NOUN
ejpam-6341	58	12	=	=	NOUN
ejpam-6341	59	1	1	1	NUM
ejpam-6341	59	2	2(p	2(p	NUM
ejpam-6341	59	3	2	2	NUM
ejpam-6341	59	4	x+p2y)+v	x+p2y)+v	PROPN
ejpam-6341	59	5	(	(	PUNCT
ejpam-6341	59	6	x	x	NOUN
ejpam-6341	59	7	,	,	PUNCT
ejpam-6341	59	8	y	y	PROPN
ejpam-6341	59	9	)	)	PUNCT
ejpam-6341	59	10	,	,	PUNCT
ejpam-6341	59	11	and	and	CCONJ
ejpam-6341	59	12	they	they	PRON
ejpam-6341	59	13	proved	prove	VERB
ejpam-6341	59	14	that	that	SCONJ
ejpam-6341	59	15	there	there	PRON
ejpam-6341	59	16	exists	exist	VERB
ejpam-6341	59	17	a	a	DET
ejpam-6341	59	18	second	second	ADJ
ejpam-6341	59	19	invariant	invariant	NOUN
ejpam-6341	59	20	of	of	ADP
ejpam-6341	59	21	motion	motion	NOUN
ejpam-6341	59	22	which	which	PRON
ejpam-6341	59	23	is	be	AUX
ejpam-6341	59	24	quadratic	quadratic	ADJ
ejpam-6341	59	25	in	in	ADP
ejpam-6341	59	26	momenta	momenta	NOUN
ejpam-6341	59	27	.	.	PUNCT
ejpam-6341	60	1	the	the	DET
ejpam-6341	60	2	solutions	solution	NOUN
ejpam-6341	60	3	of	of	ADP
ejpam-6341	60	4	the	the	DET
ejpam-6341	60	5	equation	equation	NOUN
ejpam-6341	60	6	(	(	PUNCT
ejpam-6341	60	7	3	3	X
ejpam-6341	60	8	)	)	PUNCT
ejpam-6341	60	9	are	be	AUX
ejpam-6341	60	10	given	give	VERB
ejpam-6341	60	11	in	in	ADP
ejpam-6341	60	12	several	several	ADJ
ejpam-6341	60	13	classes	class	NOUN
ejpam-6341	60	14	of	of	ADP
ejpam-6341	60	15	the	the	DET
ejpam-6341	60	16	homogenous	homogenous	ADJ
ejpam-6341	60	17	pf	pf	PROPN
ejpam-6341	60	18	vs(x	vs(x	PROPN
ejpam-6341	60	19	,	,	PUNCT
ejpam-6341	60	20	y	y	PROPN
ejpam-6341	60	21	):	):	PUNCT
ejpam-6341	60	22	v0	v0	NOUN
ejpam-6341	60	23	=	=	SYM
ejpam-6341	60	24	1	1	NUM
ejpam-6341	60	25	,	,	PUNCT
ejpam-6341	60	26	v1	v1	NOUN
ejpam-6341	60	27	=	=	SYM
ejpam-6341	60	28	2x	2x	NUM
ejpam-6341	60	29	,	,	PUNCT
ejpam-6341	60	30	v2	v2	PROPN
ejpam-6341	60	31	=	=	SYM
ejpam-6341	60	32	4x2	4x2	NUM
ejpam-6341	60	33	+	+	CCONJ
ejpam-6341	60	34	y2	y2	PROPN
ejpam-6341	60	35	,	,	PUNCT
ejpam-6341	60	36	v3	v3	PROPN
ejpam-6341	60	37	=	=	PROPN
ejpam-6341	60	38	8x3	8x3	NOUN
ejpam-6341	60	39	+	+	CCONJ
ejpam-6341	60	40	4y2x	4y2x	ADJ
ejpam-6341	60	41	,	,	PUNCT
ejpam-6341	60	42	v4	v4	PROPN
ejpam-6341	60	43	=	=	SYM
ejpam-6341	60	44	16x4	16x4	NUM
ejpam-6341	60	45	+	+	NUM
ejpam-6341	60	46	12x2y2	12x2y2	NUM
ejpam-6341	60	47	+	+	CCONJ
ejpam-6341	60	48	y4	y4	X
ejpam-6341	60	49	.	.	PUNCT
ejpam-6341	61	1	etc	etc	PROPN
ejpam-6341	61	2	..	..	X
ejpam-6341	61	3	nakagawa	nakagawa	PROPN
ejpam-6341	61	4	and	and	CCONJ
ejpam-6341	61	5	yoshida	yoshida	PROPN
ejpam-6341	62	1	[	[	X
ejpam-6341	62	2	23	23	NUM
ejpam-6341	62	3	]	]	PUNCT
ejpam-6341	62	4	considered	consider	VERB
ejpam-6341	62	5	a	a	DET
ejpam-6341	62	6	homogeneous	homogeneous	ADJ
ejpam-6341	62	7	pf	pf	NOUN
ejpam-6341	62	8	vs	vs	ADP
ejpam-6341	62	9	=	=	SYM
ejpam-6341	62	10	1	1	NUM
ejpam-6341	62	11	r	r	NOUN
ejpam-6341	62	12	(	(	PUNCT
ejpam-6341	62	13	(	(	PUNCT
ejpam-6341	62	14	r	r	NOUN
ejpam-6341	62	15	+	+	NOUN
ejpam-6341	62	16	x	x	SYM
ejpam-6341	62	17	2	2	NUM
ejpam-6341	62	18	)	)	PUNCT
ejpam-6341	62	19	s+1	s+1	NOUN
ejpam-6341	63	1	+	+	CCONJ
ejpam-6341	63	2	(	(	PUNCT
ejpam-6341	63	3	−1)s	−1)s	X
ejpam-6341	63	4	(	(	PUNCT
ejpam-6341	63	5	r	r	NOUN
ejpam-6341	63	6	−	−	PROPN
ejpam-6341	63	7	x	x	SYM
ejpam-6341	63	8	2	2	NUM
ejpam-6341	63	9	)	)	PUNCT
ejpam-6341	63	10	s+1	s+1	NOUN
ejpam-6341	63	11	)	)	PUNCT
ejpam-6341	63	12	,	,	PUNCT
ejpam-6341	63	13	r2	r2	PROPN
ejpam-6341	63	14	=	=	SYM
ejpam-6341	63	15	x2	x2	PROPN
ejpam-6341	64	1	+	+	CCONJ
ejpam-6341	64	2	y2	y2	ADJ
ejpam-6341	64	3	,	,	PUNCT
ejpam-6341	64	4	is	be	AUX
ejpam-6341	64	5	separable	separable	ADJ
ejpam-6341	64	6	in	in	ADP
ejpam-6341	64	7	parabolic	parabolic	PROPN
ejpam-6341	64	8	coordinates	coordinate	NOUN
ejpam-6341	64	9	τ	τ	X
ejpam-6341	64	10	=	=	SYM
ejpam-6341	64	11	r+x	r+x	NUM
ejpam-6341	64	12	2	2	NUM
ejpam-6341	64	13	,	,	PUNCT
ejpam-6341	64	14	σ	σ	NOUN
ejpam-6341	64	15	=	=	NOUN
ejpam-6341	64	16	r−x	r−x	NOUN
ejpam-6341	64	17	2	2	NUM
ejpam-6341	64	18	,	,	PUNCT
ejpam-6341	64	19	and	and	CCONJ
ejpam-6341	64	20	the	the	DET
ejpam-6341	64	21	invariant	invariant	ADJ
ejpam-6341	64	22	integral	integral	NOUN
ejpam-6341	64	23	is	be	AUX
ejpam-6341	64	24	is	be	AUX
ejpam-6341	64	25	given	give	VERB
ejpam-6341	64	26	by	by	ADP
ejpam-6341	64	27	is	be	AUX
ejpam-6341	64	28	=	=	NOUN
ejpam-6341	64	29	py(ypx	py(ypx	NOUN
ejpam-6341	64	30	−	−	PROPN
ejpam-6341	64	31	xpy	xpy	NOUN
ejpam-6341	64	32	)	)	PUNCT
ejpam-6341	65	1	+	+	CCONJ
ejpam-6341	65	2	1	1	NUM
ejpam-6341	65	3	2	2	NUM
ejpam-6341	65	4	y2vs−1	y2vs−1	NUM
ejpam-6341	65	5	,	,	PUNCT
ejpam-6341	66	1	t.	t.	PROPN
ejpam-6341	66	2	s.	s.	PROPN
ejpam-6341	66	3	amer	amer	PROPN
ejpam-6341	66	4	et	et	PROPN
ejpam-6341	66	5	al	al	PROPN
ejpam-6341	66	6	.	.	PUNCT
ejpam-6341	66	7	/	/	SYM
ejpam-6341	66	8	eur	eur	PROPN
ejpam-6341	66	9	.	.	PUNCT
ejpam-6341	67	1	j.	j.	PROPN
ejpam-6341	67	2	pure	pure	PROPN
ejpam-6341	67	3	appl	appl	PROPN
ejpam-6341	67	4	.	.	PROPN
ejpam-6341	67	5	math	math	PROPN
ejpam-6341	67	6	,	,	PUNCT
ejpam-6341	67	7	18	18	NUM
ejpam-6341	67	8	(	(	PUNCT
ejpam-6341	67	9	3	3	NUM
ejpam-6341	67	10	)	)	PUNCT
ejpam-6341	67	11	(	(	PUNCT
ejpam-6341	67	12	2025	2025	NUM
ejpam-6341	67	13	)	)	PUNCT
ejpam-6341	67	14	,	,	PUNCT
ejpam-6341	67	15	6341	6341	NUM
ejpam-6341	67	16	4	4	NUM
ejpam-6341	67	17	of	of	ADP
ejpam-6341	67	18	22	22	NUM
ejpam-6341	67	19	where	where	SCONJ
ejpam-6341	67	20	the	the	DET
ejpam-6341	67	21	explicit	explicit	ADJ
ejpam-6341	67	22	functions	function	NOUN
ejpam-6341	67	23	v2	v2	NOUN
ejpam-6341	67	24	=	=	SYM
ejpam-6341	67	25	1	1	NUM
ejpam-6341	67	26	4	4	NUM
ejpam-6341	67	27	(	(	PUNCT
ejpam-6341	67	28	4x2	4x2	NUM
ejpam-6341	67	29	+	+	CCONJ
ejpam-6341	67	30	y2	y2	NOUN
ejpam-6341	67	31	)	)	PUNCT
ejpam-6341	67	32	,	,	PUNCT
ejpam-6341	67	33	v3	v3	PROPN
ejpam-6341	67	34	=	=	SYM
ejpam-6341	67	35	1	1	NUM
ejpam-6341	67	36	8	8	NUM
ejpam-6341	67	37	(	(	PUNCT
ejpam-6341	67	38	8x3	8x3	NUM
ejpam-6341	67	39	+	+	CCONJ
ejpam-6341	67	40	4xy2	4xy2	NUM
ejpam-6341	67	41	)	)	PUNCT
ejpam-6341	67	42	,	,	PUNCT
ejpam-6341	67	43	v4	v4	NOUN
ejpam-6341	67	44	=	=	SYM
ejpam-6341	67	45	1	1	NUM
ejpam-6341	67	46	16	16	NUM
ejpam-6341	67	47	(	(	PUNCT
ejpam-6341	67	48	16x4	16x4	NUM
ejpam-6341	67	49	+	+	NUM
ejpam-6341	67	50	12x2y2	12x2y2	NUM
ejpam-6341	67	51	+	+	CCONJ
ejpam-6341	67	52	y4	y4	NUM
ejpam-6341	67	53	)	)	PUNCT
ejpam-6341	67	54	.	.	PUNCT
ejpam-6341	68	1	it	it	PRON
ejpam-6341	68	2	is	be	AUX
ejpam-6341	68	3	clear	clear	ADJ
ejpam-6341	68	4	that	that	SCONJ
ejpam-6341	68	5	both	both	DET
ejpam-6341	68	6	mentioned	mention	VERB
ejpam-6341	68	7	methods	method	NOUN
ejpam-6341	68	8	can	can	AUX
ejpam-6341	68	9	not	not	PART
ejpam-6341	68	10	give	give	VERB
ejpam-6341	68	11	the	the	DET
ejpam-6341	68	12	separability	separability	NOUN
ejpam-6341	68	13	of	of	ADP
ejpam-6341	68	14	the	the	DET
ejpam-6341	68	15	last	last	ADJ
ejpam-6341	68	16	two	two	NUM
ejpam-6341	68	17	cases	case	NOUN
ejpam-6341	68	18	of	of	ADP
ejpam-6341	68	19	generalized	generalized	ADJ
ejpam-6341	68	20	hh	hh	NOUN
ejpam-6341	68	21	and	and	CCONJ
ejpam-6341	68	22	quartic	quartic	ADJ
ejpam-6341	68	23	potential	potential	NOUN
ejpam-6341	68	24	.	.	PUNCT
ejpam-6341	69	1	verhoeven	verhoeven	PROPN
ejpam-6341	69	2	et	et	PROPN
ejpam-6341	69	3	al	al	PROPN
ejpam-6341	69	4	.	.	PUNCT
ejpam-6341	70	1	[	[	X
ejpam-6341	70	2	24	24	NUM
ejpam-6341	70	3	]	]	PUNCT
ejpam-6341	70	4	used	use	VERB
ejpam-6341	70	5	the	the	DET
ejpam-6341	70	6	general	general	ADJ
ejpam-6341	70	7	solution	solution	NOUN
ejpam-6341	70	8	for	for	ADP
ejpam-6341	70	9	the	the	DET
ejpam-6341	70	10	kaup	kaup	PROPN
ejpam-6341	70	11	-	-	PUNCT
ejpam-6341	70	12	kupershmidt	kupershmidt	PROPN
ejpam-6341	70	13	(	(	PUNCT
ejpam-6341	70	14	kk	kk	INTJ
ejpam-6341	70	15	)	)	PUNCT
ejpam-6341	70	16	to	to	PART
ejpam-6341	70	17	get	get	VERB
ejpam-6341	70	18	a	a	DET
ejpam-6341	70	19	separation	separation	NOUN
ejpam-6341	70	20	of	of	ADP
ejpam-6341	70	21	the	the	DET
ejpam-6341	70	22	variables	variable	NOUN
ejpam-6341	70	23	for	for	ADP
ejpam-6341	70	24	the	the	DET
ejpam-6341	70	25	third	third	ADJ
ejpam-6341	70	26	case	case	NOUN
ejpam-6341	70	27	of	of	ADP
ejpam-6341	70	28	generalized	generalized	ADJ
ejpam-6341	70	29	hh	hh	NOUN
ejpam-6341	70	30	,	,	PUNCT
ejpam-6341	70	31	while	while	SCONJ
ejpam-6341	70	32	ravoson	ravoson	PROPN
ejpam-6341	70	33	et	et	PROPN
ejpam-6341	70	34	al	al	PROPN
ejpam-6341	70	35	.	.	PUNCT
ejpam-6341	71	1	[	[	X
ejpam-6341	71	2	25	25	NUM
ejpam-6341	71	3	]	]	PUNCT
ejpam-6341	71	4	used	use	VERB
ejpam-6341	71	5	the	the	DET
ejpam-6341	71	6	method	method	NOUN
ejpam-6341	71	7	described	describe	VERB
ejpam-6341	71	8	by	by	ADP
ejpam-6341	71	9	vanhaecke	vanhaecke	NOUN
ejpam-6341	71	10	[	[	X
ejpam-6341	71	11	26	26	NUM
ejpam-6341	71	12	]	]	PUNCT
ejpam-6341	71	13	to	to	PART
ejpam-6341	71	14	get	get	VERB
ejpam-6341	71	15	the	the	DET
ejpam-6341	71	16	separability	separability	NOUN
ejpam-6341	71	17	of	of	ADP
ejpam-6341	71	18	the	the	DET
ejpam-6341	71	19	last	last	ADJ
ejpam-6341	71	20	case	case	NOUN
ejpam-6341	71	21	of	of	ADP
ejpam-6341	71	22	the	the	DET
ejpam-6341	71	23	quartic	quartic	ADJ
ejpam-6341	71	24	potential	potential	NOUN
ejpam-6341	71	25	.	.	PUNCT
ejpam-6341	72	1	the	the	DET
ejpam-6341	72	2	primary	primary	ADJ
ejpam-6341	72	3	objective	objective	NOUN
ejpam-6341	72	4	of	of	ADP
ejpam-6341	72	5	this	this	DET
ejpam-6341	72	6	research	research	NOUN
ejpam-6341	72	7	article	article	NOUN
ejpam-6341	72	8	is	be	AUX
ejpam-6341	72	9	to	to	PART
ejpam-6341	72	10	comprehensively	comprehensively	ADV
ejpam-6341	72	11	elucidate	elucidate	VERB
ejpam-6341	72	12	the	the	DET
ejpam-6341	72	13	problem	problem	NOUN
ejpam-6341	72	14	under	under	ADP
ejpam-6341	72	15	investigation	investigation	NOUN
ejpam-6341	72	16	through	through	ADP
ejpam-6341	72	17	an	an	DET
ejpam-6341	72	18	examination	examination	NOUN
ejpam-6341	72	19	of	of	ADP
ejpam-6341	72	20	the	the	DET
ejpam-6341	72	21	bifurcation	bifurcation	NOUN
ejpam-6341	72	22	and	and	CCONJ
ejpam-6341	72	23	the	the	DET
ejpam-6341	72	24	topology	topology	NOUN
ejpam-6341	72	25	of	of	ADP
ejpam-6341	72	26	invariant	invariant	ADJ
ejpam-6341	72	27	ls	ls	NOUN
ejpam-6341	72	28	of	of	ADP
ejpam-6341	72	29	the	the	DET
ejpam-6341	72	30	separated	separate	VERB
ejpam-6341	72	31	functions	function	NOUN
ejpam-6341	72	32	employing	employ	VERB
ejpam-6341	72	33	fomenko	fomenko	PROPN
ejpam-6341	72	34	’s	’s	PART
ejpam-6341	72	35	theory	theory	NOUN
ejpam-6341	72	36	[	[	X
ejpam-6341	72	37	27	27	NUM
ejpam-6341	72	38	]	]	PUNCT
ejpam-6341	72	39	.	.	PUNCT
ejpam-6341	73	1	in	in	ADP
ejpam-6341	73	2	[	[	X
ejpam-6341	73	3	28	28	NUM
ejpam-6341	73	4	]	]	PUNCT
ejpam-6341	73	5	,	,	PUNCT
ejpam-6341	73	6	the	the	DET
ejpam-6341	73	7	fomenko	fomenko	ADJ
ejpam-6341	73	8	classification	classification	NOUN
ejpam-6341	73	9	is	be	AUX
ejpam-6341	73	10	applied	apply	VERB
ejpam-6341	73	11	to	to	ADP
ejpam-6341	73	12	the	the	DET
ejpam-6341	73	13	two	two	NUM
ejpam-6341	73	14	fixed	fix	VERB
ejpam-6341	73	15	centers	center	NOUN
ejpam-6341	73	16	problem	problem	NOUN
ejpam-6341	73	17	,	,	PUNCT
ejpam-6341	73	18	while	while	SCONJ
ejpam-6341	73	19	in	in	ADP
ejpam-6341	73	20	[	[	PUNCT
ejpam-6341	73	21	29	29	NUM
ejpam-6341	73	22	]	]	PUNCT
ejpam-6341	73	23	,	,	PUNCT
ejpam-6341	73	24	the	the	DET
ejpam-6341	73	25	bifurcation	bifurcation	NOUN
ejpam-6341	73	26	behavior	behavior	NOUN
ejpam-6341	73	27	of	of	ADP
ejpam-6341	73	28	the	the	DET
ejpam-6341	73	29	agk	agk	PROPN
ejpam-6341	73	30	gp	gp	PROPN
ejpam-6341	73	31	is	be	AUX
ejpam-6341	73	32	investigated	investigate	VERB
ejpam-6341	73	33	.	.	PUNCT
ejpam-6341	74	1	waalkens	waalken	VERB
ejpam-6341	74	2	et	et	PROPN
ejpam-6341	74	3	al	al	PROPN
ejpam-6341	74	4	.	.	PUNCT
ejpam-6341	75	1	[	[	X
ejpam-6341	75	2	30	30	NUM
ejpam-6341	75	3	]	]	PUNCT
ejpam-6341	75	4	investigated	investigate	VERB
ejpam-6341	75	5	the	the	DET
ejpam-6341	75	6	topology	topology	NOUN
ejpam-6341	75	7	of	of	ADP
ejpam-6341	75	8	energy	energy	NOUN
ejpam-6341	75	9	surface	surface	NOUN
ejpam-6341	75	10	bifurcations	bifurcation	NOUN
ejpam-6341	75	11	during	during	ADP
ejpam-6341	75	12	three	three	NUM
ejpam-6341	75	13	-	-	PUNCT
ejpam-6341	75	14	dimensional	dimensional	ADJ
ejpam-6341	75	15	motion	motion	NOUN
ejpam-6341	75	16	.	.	PUNCT
ejpam-6341	76	1	the	the	DET
ejpam-6341	76	2	bifurcation	bifurcation	NOUN
ejpam-6341	76	3	of	of	ADP
ejpam-6341	76	4	a	a	DET
ejpam-6341	76	5	common	common	ADJ
ejpam-6341	76	6	level	level	NOUN
ejpam-6341	76	7	set	set	NOUN
ejpam-6341	76	8	was	be	AUX
ejpam-6341	76	9	studied	study	VERB
ejpam-6341	76	10	in	in	ADP
ejpam-6341	76	11	[	[	X
ejpam-6341	76	12	31	31	NUM
ejpam-6341	76	13	]	]	PUNCT
ejpam-6341	76	14	for	for	ADP
ejpam-6341	76	15	the	the	DET
ejpam-6341	76	16	first	first	ADJ
ejpam-6341	76	17	integral	integral	NOUN
ejpam-6341	76	18	of	of	ADP
ejpam-6341	76	19	kovalevskaya	kovalevskaya	NOUN
ejpam-6341	76	20	problem	problem	NOUN
ejpam-6341	76	21	,	,	PUNCT
ejpam-6341	76	22	while	while	SCONJ
ejpam-6341	76	23	the	the	DET
ejpam-6341	76	24	ltb	ltb	PROPN
ejpam-6341	76	25	of	of	ADP
ejpam-6341	76	26	the	the	DET
ejpam-6341	76	27	problem	problem	NOUN
ejpam-6341	76	28	of	of	ADP
ejpam-6341	76	29	the	the	DET
ejpam-6341	76	30	rigid	rigid	ADJ
ejpam-6341	76	31	body	body	NOUN
ejpam-6341	76	32	(	(	PUNCT
ejpam-6341	76	33	rb	rb	NOUN
ejpam-6341	76	34	)	)	PUNCT
ejpam-6341	76	35	rotation	rotation	NOUN
ejpam-6341	76	36	around	around	ADP
ejpam-6341	76	37	a	a	DET
ejpam-6341	76	38	fixed	fix	VERB
ejpam-6341	76	39	point	point	NOUN
ejpam-6341	76	40	in	in	ADP
ejpam-6341	76	41	different	different	ADJ
ejpam-6341	76	42	cases	case	NOUN
ejpam-6341	76	43	is	be	AUX
ejpam-6341	76	44	obtained	obtain	VERB
ejpam-6341	76	45	in	in	ADP
ejpam-6341	76	46	[	[	X
ejpam-6341	76	47	32	32	NUM
ejpam-6341	76	48	]	]	PUNCT
ejpam-6341	76	49	.	.	PUNCT
ejpam-6341	77	1	in	in	ADP
ejpam-6341	77	2	[	[	X
ejpam-6341	77	3	33	33	NUM
ejpam-6341	77	4	]	]	PUNCT
ejpam-6341	77	5	,	,	PUNCT
ejpam-6341	77	6	the	the	DET
ejpam-6341	77	7	author	author	NOUN
ejpam-6341	77	8	investigated	investigate	VERB
ejpam-6341	77	9	the	the	DET
ejpam-6341	77	10	rb	rb	NOUN
ejpam-6341	77	11	motion	motion	NOUN
ejpam-6341	77	12	while	while	SCONJ
ejpam-6341	77	13	it	it	PRON
ejpam-6341	77	14	is	be	AUX
ejpam-6341	77	15	affected	affect	VERB
ejpam-6341	77	16	by	by	ADP
ejpam-6341	77	17	restoring	restore	VERB
ejpam-6341	77	18	,	,	PUNCT
ejpam-6341	77	19	perturbing	perturb	VERB
ejpam-6341	77	20	,	,	PUNCT
ejpam-6341	77	21	and	and	CCONJ
ejpam-6341	77	22	gyrostatic	gyrostatic	ADJ
ejpam-6341	77	23	moments	moment	NOUN
ejpam-6341	77	24	.	.	PUNCT
ejpam-6341	78	1	in	in	ADP
ejpam-6341	78	2	[	[	X
ejpam-6341	78	3	34	34	NUM
ejpam-6341	78	4	]	]	PUNCT
ejpam-6341	78	5	,	,	PUNCT
ejpam-6341	78	6	it	it	PRON
ejpam-6341	78	7	is	be	AUX
ejpam-6341	78	8	expected	expect	VERB
ejpam-6341	78	9	that	that	SCONJ
ejpam-6341	78	10	the	the	DET
ejpam-6341	78	11	gyro	gyro	NOUN
ejpam-6341	78	12	’s	’s	PART
ejpam-6341	78	13	direction	direction	NOUN
ejpam-6341	78	14	is	be	AUX
ejpam-6341	78	15	near	near	ADP
ejpam-6341	78	16	the	the	DET
ejpam-6341	78	17	axis	axis	NOUN
ejpam-6341	78	18	of	of	ADP
ejpam-6341	78	19	dynamic	dynamic	ADJ
ejpam-6341	78	20	symmetry	symmetry	NOUN
ejpam-6341	78	21	,	,	PUNCT
ejpam-6341	78	22	its	its	PRON
ejpam-6341	78	23	angular	angular	ADJ
ejpam-6341	78	24	velocity	velocity	NOUN
ejpam-6341	78	25	is	be	AUX
ejpam-6341	78	26	sufficiently	sufficiently	ADV
ejpam-6341	78	27	large	large	ADJ
ejpam-6341	78	28	,	,	PUNCT
ejpam-6341	78	29	and	and	CCONJ
ejpam-6341	78	30	its	its	PRON
ejpam-6341	78	31	perturbing	perturb	VERB
ejpam-6341	78	32	moments	moment	NOUN
ejpam-6341	78	33	are	be	AUX
ejpam-6341	78	34	minimal	minimal	ADJ
ejpam-6341	78	35	in	in	ADP
ejpam-6341	78	36	relation	relation	NOUN
ejpam-6341	78	37	to	to	ADP
ejpam-6341	78	38	its	its	PRON
ejpam-6341	78	39	restoring	restore	VERB
ejpam-6341	78	40	ones	one	NOUN
ejpam-6341	78	41	.	.	PUNCT
ejpam-6341	79	1	these	these	DET
ejpam-6341	79	2	circumstances	circumstance	NOUN
ejpam-6341	79	3	allow	allow	VERB
ejpam-6341	79	4	for	for	ADP
ejpam-6341	79	5	the	the	DET
ejpam-6341	79	6	introduction	introduction	NOUN
ejpam-6341	79	7	of	of	ADP
ejpam-6341	79	8	a	a	DET
ejpam-6341	79	9	tiny	tiny	ADJ
ejpam-6341	79	10	parameter	parameter	NOUN
ejpam-6341	79	11	.	.	PUNCT
ejpam-6341	80	1	in	in	ADP
ejpam-6341	80	2	the	the	DET
ejpam-6341	80	3	first	first	ADJ
ejpam-6341	80	4	and	and	CCONJ
ejpam-6341	80	5	second	second	ADJ
ejpam-6341	80	6	approximations	approximation	NOUN
ejpam-6341	80	7	,	,	PUNCT
ejpam-6341	80	8	averaged	average	VERB
ejpam-6341	80	9	systems	system	NOUN
ejpam-6341	80	10	of	of	ADP
ejpam-6341	80	11	the	the	DET
ejpam-6341	80	12	equations	equation	NOUN
ejpam-6341	80	13	of	of	ADP
ejpam-6341	80	14	motion	motion	NOUN
ejpam-6341	80	15	are	be	AUX
ejpam-6341	80	16	found	find	VERB
ejpam-6341	80	17	.	.	PUNCT
ejpam-6341	81	1	in	in	ADP
ejpam-6341	81	2	[	[	X
ejpam-6341	81	3	35	35	NUM
ejpam-6341	81	4	]	]	PUNCT
ejpam-6341	81	5	,	,	PUNCT
ejpam-6341	81	6	the	the	DET
ejpam-6341	81	7	authors	author	NOUN
ejpam-6341	81	8	used	use	VERB
ejpam-6341	81	9	taylor	taylor	PROPN
ejpam-6341	81	10	and	and	CCONJ
ejpam-6341	81	11	the	the	DET
ejpam-6341	81	12	average	average	ADJ
ejpam-6341	81	13	methods	method	NOUN
ejpam-6341	81	14	to	to	PART
ejpam-6341	81	15	solve	solve	VERB
ejpam-6341	81	16	the	the	DET
ejpam-6341	81	17	problem	problem	NOUN
ejpam-6341	81	18	while	while	SCONJ
ejpam-6341	81	19	the	the	DET
ejpam-6341	81	20	body	body	NOUN
ejpam-6341	81	21	contained	contain	VERB
ejpam-6341	81	22	a	a	DET
ejpam-6341	81	23	cavity	cavity	NOUN
ejpam-6341	81	24	filled	fill	VERB
ejpam-6341	81	25	with	with	ADP
ejpam-6341	81	26	fluid	fluid	NOUN
ejpam-6341	81	27	and	and	CCONJ
ejpam-6341	81	28	impacted	impact	VERB
ejpam-6341	81	29	by	by	ADP
ejpam-6341	81	30	gyrostatic	gyrostatic	ADJ
ejpam-6341	81	31	and	and	CCONJ
ejpam-6341	81	32	constant	constant	ADJ
ejpam-6341	81	33	torques	torque	NOUN
ejpam-6341	81	34	.	.	PUNCT
ejpam-6341	82	1	the	the	DET
ejpam-6341	82	2	current	current	ADJ
ejpam-6341	82	3	paper	paper	NOUN
ejpam-6341	82	4	is	be	AUX
ejpam-6341	82	5	constructed	construct	VERB
ejpam-6341	82	6	as	as	SCONJ
ejpam-6341	82	7	outlined	outline	VERB
ejpam-6341	82	8	below	below	ADV
ejpam-6341	82	9	:	:	PUNCT
ejpam-6341	82	10	in	in	ADP
ejpam-6341	82	11	section	section	NOUN
ejpam-6341	82	12	2	2	NUM
ejpam-6341	82	13	,	,	PUNCT
ejpam-6341	82	14	the	the	DET
ejpam-6341	82	15	separation	separation	NOUN
ejpam-6341	82	16	of	of	ADP
ejpam-6341	82	17	the	the	DET
ejpam-6341	82	18	third	third	ADJ
ejpam-6341	82	19	case	case	NOUN
ejpam-6341	82	20	of	of	ADP
ejpam-6341	82	21	generalized	generalized	ADJ
ejpam-6341	82	22	hh	hh	PROPN
ejpam-6341	82	23	problem	problem	NOUN
ejpam-6341	82	24	is	be	AUX
ejpam-6341	82	25	introduced	introduce	VERB
ejpam-6341	82	26	,	,	PUNCT
ejpam-6341	82	27	and	and	CCONJ
ejpam-6341	82	28	the	the	DET
ejpam-6341	82	29	topology	topology	NOUN
ejpam-6341	82	30	of	of	ADP
ejpam-6341	82	31	invariant	invariant	ADJ
ejpam-6341	82	32	ls	ls	NOUN
ejpam-6341	82	33	of	of	ADP
ejpam-6341	82	34	the	the	DET
ejpam-6341	82	35	separated	separate	VERB
ejpam-6341	82	36	functions	function	NOUN
ejpam-6341	82	37	is	be	AUX
ejpam-6341	82	38	discussed	discuss	VERB
ejpam-6341	82	39	in	in	ADP
ejpam-6341	82	40	subsection	subsection	NOUN
ejpam-6341	82	41	2.1	2.1	NUM
ejpam-6341	82	42	using	use	VERB
ejpam-6341	82	43	fomenko	fomenko	PROPN
ejpam-6341	82	44	’s	’s	PART
ejpam-6341	82	45	classification	classification	NOUN
ejpam-6341	82	46	theorem	theorem	NOUN
ejpam-6341	82	47	[	[	X
ejpam-6341	82	48	27	27	NUM
ejpam-6341	82	49	]	]	PUNCT
ejpam-6341	82	50	.	.	PUNCT
ejpam-6341	83	1	subsection	subsection	NOUN
ejpam-6341	83	2	2.2	2.2	NUM
ejpam-6341	83	3	investigates	investigate	VERB
ejpam-6341	83	4	the	the	DET
ejpam-6341	83	5	ps	ps	PROPN
ejpam-6341	83	6	for	for	ADP
ejpam-6341	83	7	singular	singular	NOUN
ejpam-6341	83	8	ls	ls	PROPN
ejpam-6341	83	9	of	of	ADP
ejpam-6341	83	10	bifurcation	bifurcation	NOUN
ejpam-6341	83	11	.	.	PUNCT
ejpam-6341	84	1	in	in	ADP
ejpam-6341	84	2	subsection	subsection	NOUN
ejpam-6341	84	3	2.3	2.3	NUM
ejpam-6341	84	4	,	,	PUNCT
ejpam-6341	84	5	the	the	DET
ejpam-6341	84	6	phase	phase	NOUN
ejpam-6341	84	7	portrait	portrait	NOUN
ejpam-6341	84	8	of	of	ADP
ejpam-6341	84	9	the	the	DET
ejpam-6341	84	10	separation	separation	NOUN
ejpam-6341	84	11	functions	function	NOUN
ejpam-6341	84	12	is	be	AUX
ejpam-6341	84	13	introduced	introduce	VERB
ejpam-6341	84	14	,	,	PUNCT
ejpam-6341	84	15	and	and	CCONJ
ejpam-6341	84	16	the	the	DET
ejpam-6341	84	17	singular	singular	ADJ
ejpam-6341	84	18	points	point	NOUN
ejpam-6341	84	19	and	and	CCONJ
ejpam-6341	84	20	their	their	PRON
ejpam-6341	84	21	types	type	NOUN
ejpam-6341	84	22	are	be	AUX
ejpam-6341	84	23	obtained	obtain	VERB
ejpam-6341	84	24	.	.	PUNCT
ejpam-6341	85	1	in	in	ADP
ejpam-6341	85	2	section	section	NOUN
ejpam-6341	85	3	3	3	NUM
ejpam-6341	85	4	,	,	PUNCT
ejpam-6341	85	5	the	the	DET
ejpam-6341	85	6	separation	separation	NOUN
ejpam-6341	85	7	for	for	ADP
ejpam-6341	85	8	the	the	DET
ejpam-6341	85	9	last	last	ADJ
ejpam-6341	85	10	case	case	NOUN
ejpam-6341	85	11	of	of	ADP
ejpam-6341	85	12	quartic	quartic	ADJ
ejpam-6341	85	13	potential	potential	NOUN
ejpam-6341	85	14	(	(	PUNCT
ejpam-6341	85	15	2	2	NUM
ejpam-6341	85	16	)	)	PUNCT
ejpam-6341	85	17	is	be	AUX
ejpam-6341	85	18	examined	examine	VERB
ejpam-6341	85	19	,	,	PUNCT
ejpam-6341	85	20	and	and	CCONJ
ejpam-6341	85	21	the	the	DET
ejpam-6341	85	22	topology	topology	NOUN
ejpam-6341	85	23	of	of	ADP
ejpam-6341	85	24	real	real	ADJ
ejpam-6341	85	25	phase	phase	NOUN
ejpam-6341	85	26	space	space	NOUN
ejpam-6341	85	27	and	and	CCONJ
ejpam-6341	85	28	the	the	DET
ejpam-6341	85	29	sets	set	NOUN
ejpam-6341	85	30	of	of	ADP
ejpam-6341	85	31	bifurcation	bifurcation	NOUN
ejpam-6341	85	32	are	be	AUX
ejpam-6341	85	33	investigated	investigate	VERB
ejpam-6341	85	34	in	in	ADP
ejpam-6341	85	35	subsection	subsection	NOUN
ejpam-6341	85	36	3.1	3.1	NUM
ejpam-6341	85	37	.	.	PUNCT
ejpam-6341	86	1	the	the	DET
ejpam-6341	86	2	ps	ps	PROPN
ejpam-6341	86	3	is	be	AUX
ejpam-6341	86	4	examined	examine	VERB
ejpam-6341	86	5	in	in	ADP
ejpam-6341	86	6	subsection	subsection	NOUN
ejpam-6341	86	7	3.2	3.2	NUM
ejpam-6341	86	8	.	.	PUNCT
ejpam-6341	87	1	the	the	DET
ejpam-6341	87	2	separated	separate	VERB
ejpam-6341	87	3	function	function	NOUN
ejpam-6341	87	4	is	be	AUX
ejpam-6341	87	5	used	use	VERB
ejpam-6341	87	6	in	in	ADP
ejpam-6341	87	7	subsection	subsection	NOUN
ejpam-6341	87	8	3.3	3.3	NUM
ejpam-6341	87	9	to	to	PART
ejpam-6341	87	10	examine	examine	VERB
ejpam-6341	87	11	the	the	DET
ejpam-6341	87	12	system	system	NOUN
ejpam-6341	87	13	’s	’s	PART
ejpam-6341	87	14	phase	phase	NOUN
ejpam-6341	87	15	portrait	portrait	NOUN
ejpam-6341	87	16	and	and	CCONJ
ejpam-6341	87	17	discover	discover	VERB
ejpam-6341	87	18	the	the	DET
ejpam-6341	87	19	various	various	ADJ
ejpam-6341	87	20	forms	form	NOUN
ejpam-6341	87	21	of	of	ADP
ejpam-6341	87	22	singular	singular	ADJ
ejpam-6341	87	23	points	point	NOUN
ejpam-6341	87	24	.	.	PUNCT
ejpam-6341	88	1	in	in	ADP
ejpam-6341	88	2	section	section	NOUN
ejpam-6341	88	3	4	4	NUM
ejpam-6341	88	4	,	,	PUNCT
ejpam-6341	88	5	we	we	PRON
ejpam-6341	88	6	obtain	obtain	VERB
ejpam-6341	88	7	the	the	DET
ejpam-6341	88	8	ps	ps	NOUN
ejpam-6341	88	9	about	about	ADP
ejpam-6341	88	10	the	the	DET
ejpam-6341	88	11	equilibrium	equilibrium	NOUN
ejpam-6341	88	12	points	point	NOUN
ejpam-6341	88	13	.	.	PUNCT
ejpam-6341	89	1	this	this	DET
ejpam-6341	89	2	study	study	NOUN
ejpam-6341	89	3	finds	find	VERB
ejpam-6341	89	4	applications	application	NOUN
ejpam-6341	89	5	in	in	ADP
ejpam-6341	89	6	celestial	celestial	ADJ
ejpam-6341	89	7	mechanics	mechanic	NOUN
ejpam-6341	89	8	and	and	CCONJ
ejpam-6341	89	9	astrodynamics	astrodynamic	NOUN
ejpam-6341	89	10	,	,	PUNCT
ejpam-6341	89	11	where	where	SCONJ
ejpam-6341	89	12	generalized	generalized	ADJ
ejpam-6341	89	13	hh	hh	NOUN
ejpam-6341	89	14	-	-	PUNCT
ejpam-6341	89	15	systems	system	NOUN
ejpam-6341	89	16	and	and	CCONJ
ejpam-6341	89	17	quartic	quartic	ADJ
ejpam-6341	89	18	potentials	potential	NOUN
ejpam-6341	89	19	are	be	AUX
ejpam-6341	89	20	used	use	VERB
ejpam-6341	89	21	to	to	PART
ejpam-6341	89	22	model	model	VERB
ejpam-6341	89	23	gravitational	gravitational	ADJ
ejpam-6341	89	24	interactions	interaction	NOUN
ejpam-6341	89	25	among	among	ADP
ejpam-6341	89	26	celestial	celestial	ADJ
ejpam-6341	89	27	bodies	body	NOUN
ejpam-6341	89	28	.	.	PUNCT
ejpam-6341	90	1	these	these	DET
ejpam-6341	90	2	models	model	NOUN
ejpam-6341	90	3	help	help	VERB
ejpam-6341	90	4	analyze	analyze	VERB
ejpam-6341	90	5	the	the	DET
ejpam-6341	90	6	stability	stability	NOUN
ejpam-6341	90	7	and	and	CCONJ
ejpam-6341	90	8	motion	motion	NOUN
ejpam-6341	90	9	of	of	ADP
ejpam-6341	90	10	planets	planet	NOUN
ejpam-6341	90	11	,	,	PUNCT
ejpam-6341	90	12	asteroids	asteroid	NOUN
ejpam-6341	90	13	,	,	PUNCT
ejpam-6341	90	14	and	and	CCONJ
ejpam-6341	90	15	satellites	satellite	NOUN
ejpam-6341	90	16	.	.	PUNCT
ejpam-6341	91	1	moreover	moreover	ADV
ejpam-6341	91	2	,	,	PUNCT
ejpam-6341	91	3	the	the	DET
ejpam-6341	91	4	classification	classification	NOUN
ejpam-6341	91	5	of	of	ADP
ejpam-6341	91	6	singular	singular	ADJ
ejpam-6341	91	7	points	point	NOUN
ejpam-6341	91	8	and	and	CCONJ
ejpam-6341	91	9	phase	phase	NOUN
ejpam-6341	91	10	portraits	portrait	NOUN
ejpam-6341	91	11	aids	aid	NOUN
ejpam-6341	91	12	in	in	ADP
ejpam-6341	91	13	identifying	identify	VERB
ejpam-6341	91	14	chaotic	chaotic	ADJ
ejpam-6341	91	15	or	or	CCONJ
ejpam-6341	91	16	regular	regular	ADJ
ejpam-6341	91	17	behaviors	behavior	NOUN
ejpam-6341	91	18	in	in	ADP
ejpam-6341	91	19	complex	complex	ADJ
ejpam-6341	91	20	systems	system	NOUN
ejpam-6341	91	21	like	like	ADP
ejpam-6341	91	22	weather	weather	NOUN
ejpam-6341	91	23	models	model	NOUN
ejpam-6341	91	24	and	and	CCONJ
ejpam-6341	91	25	economic	economic	ADJ
ejpam-6341	91	26	frameworks	framework	NOUN
ejpam-6341	91	27	.	.	PUNCT
ejpam-6341	92	1	the	the	DET
ejpam-6341	92	2	insights	insight	NOUN
ejpam-6341	92	3	into	into	ADP
ejpam-6341	92	4	bifurcations	bifurcation	NOUN
ejpam-6341	92	5	and	and	CCONJ
ejpam-6341	92	6	ps	ps	NOUN
ejpam-6341	92	7	further	far	ADV
ejpam-6341	92	8	enable	enable	VERB
ejpam-6341	92	9	the	the	DET
ejpam-6341	92	10	design	design	NOUN
ejpam-6341	92	11	of	of	ADP
ejpam-6341	92	12	control	control	NOUN
ejpam-6341	92	13	mechanisms	mechanism	NOUN
ejpam-6341	92	14	for	for	ADP
ejpam-6341	92	15	nonlinear	nonlinear	ADJ
ejpam-6341	92	16	systems	system	NOUN
ejpam-6341	92	17	such	such	ADJ
ejpam-6341	92	18	as	as	ADP
ejpam-6341	92	19	robotics	robotic	NOUN
ejpam-6341	92	20	and	and	CCONJ
ejpam-6341	92	21	automation	automation	NOUN
ejpam-6341	92	22	.	.	PUNCT
ejpam-6341	93	1	t.	t.	PROPN
ejpam-6341	93	2	s.	s.	PROPN
ejpam-6341	93	3	amer	amer	PROPN
ejpam-6341	93	4	et	et	PROPN
ejpam-6341	93	5	al	al	PROPN
ejpam-6341	93	6	.	.	PUNCT
ejpam-6341	93	7	/	/	SYM
ejpam-6341	93	8	eur	eur	PROPN
ejpam-6341	93	9	.	.	PUNCT
ejpam-6341	94	1	j.	j.	PROPN
ejpam-6341	94	2	pure	pure	PROPN
ejpam-6341	94	3	appl	appl	PROPN
ejpam-6341	94	4	.	.	PROPN
ejpam-6341	94	5	math	math	PROPN
ejpam-6341	94	6	,	,	PUNCT
ejpam-6341	94	7	18	18	NUM
ejpam-6341	94	8	(	(	PUNCT
ejpam-6341	94	9	3	3	NUM
ejpam-6341	94	10	)	)	PUNCT
ejpam-6341	94	11	(	(	PUNCT
ejpam-6341	94	12	2025	2025	NUM
ejpam-6341	94	13	)	)	PUNCT
ejpam-6341	94	14	,	,	PUNCT
ejpam-6341	94	15	6341	6341	NUM
ejpam-6341	94	16	5	5	NUM
ejpam-6341	94	17	of	of	ADP
ejpam-6341	94	18	22	22	NUM
ejpam-6341	94	19	2	2	NUM
ejpam-6341	94	20	.	.	PUNCT
ejpam-6341	94	21	separation	separation	NOUN
ejpam-6341	94	22	of	of	ADP
ejpam-6341	94	23	the	the	DET
ejpam-6341	94	24	third	third	ADJ
ejpam-6341	94	25	case	case	NOUN
ejpam-6341	94	26	of	of	ADP
ejpam-6341	94	27	generalized	generalized	ADJ
ejpam-6341	94	28	hh	hh	PROPN
ejpam-6341	94	29	hamiltonian	hamiltonian	ADJ
ejpam-6341	94	30	function	function	NOUN
ejpam-6341	94	31	for	for	ADP
ejpam-6341	94	32	generalized	generalized	ADJ
ejpam-6341	94	33	hh	hh	NOUN
ejpam-6341	94	34	has	have	VERB
ejpam-6341	94	35	the	the	DET
ejpam-6341	94	36	form	form	NOUN
ejpam-6341	94	37	h	h	NOUN
ejpam-6341	94	38	=	=	NOUN
ejpam-6341	94	39	1	1	NUM
ejpam-6341	94	40	2	2	NUM
ejpam-6341	94	41	(	(	PUNCT
ejpam-6341	94	42	p	p	NOUN
ejpam-6341	94	43	2	2	NUM
ejpam-6341	94	44	x	x	SYM
ejpam-6341	94	45	+	+	X
ejpam-6341	94	46	p	p	NOUN
ejpam-6341	94	47	2	2	NUM
ejpam-6341	94	48	y	y	NOUN
ejpam-6341	94	49	+	+	CCONJ
ejpam-6341	94	50	c1x	c1x	VERB
ejpam-6341	94	51	2	2	NUM
ejpam-6341	94	52	+	+	CCONJ
ejpam-6341	94	53	c2y	c2y	X
ejpam-6341	94	54	2	2	NUM
ejpam-6341	94	55	)	)	PUNCT
ejpam-6341	94	56	+	+	CCONJ
ejpam-6341	95	1	axy	axy	PROPN
ejpam-6341	95	2	2	2	NUM
ejpam-6341	95	3	−	−	PROPN
ejpam-6341	95	4	b	b	SYM
ejpam-6341	95	5	3	3	NUM
ejpam-6341	95	6	x3	x3	ADJ
ejpam-6341	95	7	.	.	PUNCT
ejpam-6341	96	1	it	it	PRON
ejpam-6341	96	2	is	be	AUX
ejpam-6341	96	3	shown	show	VERB
ejpam-6341	96	4	in	in	ADP
ejpam-6341	96	5	[	[	X
ejpam-6341	96	6	36	36	NUM
ejpam-6341	96	7	]	]	PUNCT
ejpam-6341	96	8	that	that	SCONJ
ejpam-6341	96	9	the	the	DET
ejpam-6341	96	10	three	three	NUM
ejpam-6341	96	11	cases	case	NOUN
ejpam-6341	96	12	of	of	ADP
ejpam-6341	96	13	generalized	generalized	ADJ
ejpam-6341	96	14	hh	hh	NOUN
ejpam-6341	96	15	can	can	AUX
ejpam-6341	96	16	be	be	AUX
ejpam-6341	96	17	related	relate	VERB
ejpam-6341	96	18	to	to	ADP
ejpam-6341	96	19	the	the	DET
ejpam-6341	96	20	sawadakotera	sawadakotera	NOUN
ejpam-6341	96	21	(	(	PUNCT
ejpam-6341	96	22	sk	sk	PROPN
ejpam-6341	96	23	)	)	PUNCT
ejpam-6341	96	24	,	,	PUNCT
ejpam-6341	96	25	kdv5	kdv5	PROPN
ejpam-6341	96	26	,	,	PUNCT
ejpam-6341	96	27	and	and	CCONJ
ejpam-6341	96	28	equations	equation	NOUN
ejpam-6341	96	29	of	of	ADP
ejpam-6341	96	30	kk	kk	PROPN
ejpam-6341	96	31	,	,	PUNCT
ejpam-6341	96	32	respectively	respectively	ADV
ejpam-6341	96	33	.	.	PUNCT
ejpam-6341	97	1	verhoeven	verhoeven	PROPN
ejpam-6341	97	2	et	et	PROPN
ejpam-6341	97	3	al	al	PROPN
ejpam-6341	97	4	.	.	PUNCT
ejpam-6341	98	1	[	[	X
ejpam-6341	98	2	24	24	NUM
ejpam-6341	98	3	]	]	PUNCT
ejpam-6341	98	4	used	use	VERB
ejpam-6341	98	5	the	the	DET
ejpam-6341	98	6	kk	kk	PROPN
ejpam-6341	98	7	equations	equation	NOUN
ejpam-6341	98	8	to	to	PART
ejpam-6341	98	9	get	get	VERB
ejpam-6341	98	10	the	the	DET
ejpam-6341	98	11	separate	separate	ADJ
ejpam-6341	98	12	functions	function	NOUN
ejpam-6341	98	13	of	of	ADP
ejpam-6341	98	14	the	the	DET
ejpam-6341	98	15	hamiltonian	hamiltonian	NOUN
ejpam-6341	98	16	for	for	ADP
ejpam-6341	98	17	the	the	DET
ejpam-6341	98	18	third	third	ADJ
ejpam-6341	98	19	case	case	NOUN
ejpam-6341	98	20	of	of	ADP
ejpam-6341	98	21	generalized	generalized	ADJ
ejpam-6341	98	22	hh	hh	PROPN
ejpam-6341	98	23	,	,	PUNCT
ejpam-6341	98	24	which	which	PRON
ejpam-6341	98	25	is	be	AUX
ejpam-6341	98	26	based	base	VERB
ejpam-6341	98	27	on	on	ADP
ejpam-6341	98	28	the	the	DET
ejpam-6341	98	29	following	follow	VERB
ejpam-6341	98	30	values	value	NOUN
ejpam-6341	98	31	of	of	ADP
ejpam-6341	98	32	parameters	parameter	NOUN
ejpam-6341	98	33	a	a	DET
ejpam-6341	98	34	=	=	SYM
ejpam-6341	98	35	1	1	NUM
ejpam-6341	98	36	4	4	NUM
ejpam-6341	98	37	,	,	PUNCT
ejpam-6341	98	38	c1	c1	NOUN
ejpam-6341	98	39	=	=	PROPN
ejpam-6341	98	40	16c2	16c2	NUM
ejpam-6341	98	41	,	,	PUNCT
ejpam-6341	98	42	c	c	NOUN
ejpam-6341	98	43	=	=	SYM
ejpam-6341	98	44	c1c2	c1c2	NOUN
ejpam-6341	98	45	,	,	PUNCT
ejpam-6341	98	46	with	with	ADP
ejpam-6341	98	47	the	the	DET
ejpam-6341	98	48	transformation	transformation	NOUN
ejpam-6341	98	49	u	u	NOUN
ejpam-6341	98	50	=	=	PUNCT
ejpam-6341	98	51	x	x	PROPN
ejpam-6341	98	52	+	+	NUM
ejpam-6341	98	53	2c2	2c2	NUM
ejpam-6341	98	54	,	,	PUNCT
ejpam-6341	98	55	and	and	CCONJ
ejpam-6341	98	56	v	v	X
ejpam-6341	98	57	=	=	SYM
ejpam-6341	98	58	y	y	PROPN
ejpam-6341	98	59	.	.	PUNCT
ejpam-6341	99	1	after	after	ADP
ejpam-6341	99	2	performing	perform	VERB
ejpam-6341	99	3	the	the	DET
ejpam-6341	99	4	mathematical	mathematical	ADJ
ejpam-6341	99	5	operations	operation	NOUN
ejpam-6341	99	6	,	,	PUNCT
ejpam-6341	99	7	they	they	PRON
ejpam-6341	99	8	obtained	obtain	VERB
ejpam-6341	99	9	the	the	DET
ejpam-6341	99	10	hamiltonian	hamiltonian	ADJ
ejpam-6341	99	11	h	h	NOUN
ejpam-6341	99	12	=	=	NOUN
ejpam-6341	99	13	1	1	NUM
ejpam-6341	99	14	2	2	NUM
ejpam-6341	99	15	(	(	PUNCT
ejpam-6341	99	16	p2u	p2u	NOUN
ejpam-6341	99	17	+	+	CCONJ
ejpam-6341	99	18	p2v	p2v	PROPN
ejpam-6341	99	19	)	)	PUNCT
ejpam-6341	99	20	+	+	CCONJ
ejpam-6341	99	21	1	1	NUM
ejpam-6341	99	22	4	4	NUM
ejpam-6341	99	23	uv2	uv2	ADJ
ejpam-6341	100	1	+	+	CCONJ
ejpam-6341	100	2	4	4	NUM
ejpam-6341	100	3	3	3	NUM
ejpam-6341	100	4	u3	u3	NOUN
ejpam-6341	100	5	−	−	PROPN
ejpam-6341	100	6	cu	cu	PROPN
ejpam-6341	100	7	.	.	PUNCT
ejpam-6341	101	1	(	(	PUNCT
ejpam-6341	101	2	4	4	X
ejpam-6341	101	3	)	)	PUNCT
ejpam-6341	101	4	finally	finally	ADV
ejpam-6341	101	5	,	,	PUNCT
ejpam-6341	101	6	the	the	DET
ejpam-6341	101	7	following	follow	VERB
ejpam-6341	101	8	transformation	transformation	NOUN
ejpam-6341	101	9	is	be	AUX
ejpam-6341	101	10	used	use	VERB
ejpam-6341	101	11	to	to	PART
ejpam-6341	101	12	get	get	VERB
ejpam-6341	101	13	the	the	DET
ejpam-6341	101	14	separable	separable	ADJ
ejpam-6341	101	15	hamiltonian	hamiltonian	ADJ
ejpam-6341	101	16	function	function	PROPN
ejpam-6341	101	17	q1	q1	PROPN
ejpam-6341	101	18	=	=	SYM
ejpam-6341	101	19	−6	−6	NOUN
ejpam-6341	101	20	p2v−k2,0	p2v−k2,0	X
ejpam-6341	101	21	v2	v2	VERB
ejpam-6341	101	22	−	−	PROPN
ejpam-6341	101	23	u	u	PROPN
ejpam-6341	101	24	,	,	PUNCT
ejpam-6341	101	25	q2	q2	NOUN
ejpam-6341	101	26	=	=	SYM
ejpam-6341	101	27	−6	−6	PROPN
ejpam-6341	102	1	p2v+k2,0	p2v+k2,0	NOUN
ejpam-6341	102	2	v2	v2	VERB
ejpam-6341	102	3	−	−	PROPN
ejpam-6341	102	4	u	u	PROPN
ejpam-6341	102	5	p1	p1	NOUN
ejpam-6341	102	6	=	=	SYM
ejpam-6341	102	7	1	1	NUM
ejpam-6341	102	8	2v3	2v3	NUM
ejpam-6341	102	9	(	(	PUNCT
ejpam-6341	102	10	12p3v	12p3v	NOUN
ejpam-6341	102	11	+	+	CCONJ
ejpam-6341	102	12	6uv2pv	6uv2pv	NUM
ejpam-6341	102	13	−	−	NOUN
ejpam-6341	102	14	v3pu	v3pu	X
ejpam-6341	102	15	−	−	PROPN
ejpam-6341	102	16	12pvk2,0	12pvk2,0	PROPN
ejpam-6341	102	17	)	)	PUNCT
ejpam-6341	102	18	,	,	PUNCT
ejpam-6341	102	19	p2	p2	X
ejpam-6341	102	20	=	=	SYM
ejpam-6341	102	21	1	1	NUM
ejpam-6341	102	22	2v3	2v3	NUM
ejpam-6341	102	23	(	(	PUNCT
ejpam-6341	102	24	12p3v	12p3v	NOUN
ejpam-6341	102	25	+	+	CCONJ
ejpam-6341	102	26	6uv2pv	6uv2pv	NUM
ejpam-6341	102	27	−	−	NOUN
ejpam-6341	102	28	v3pu	v3pu	X
ejpam-6341	102	29	+	+	CCONJ
ejpam-6341	102	30	12pvk2,0	12pvk2,0	NUM
ejpam-6341	102	31	)	)	PUNCT
ejpam-6341	102	32	.	.	PUNCT
ejpam-6341	103	1	therefore	therefore	ADV
ejpam-6341	103	2	the	the	DET
ejpam-6341	103	3	hamiltonian	hamiltonian	ADJ
ejpam-6341	103	4	system	system	NOUN
ejpam-6341	103	5	(	(	PUNCT
ejpam-6341	103	6	4	4	X
ejpam-6341	103	7	)	)	PUNCT
ejpam-6341	103	8	takes	take	VERB
ejpam-6341	103	9	the	the	DET
ejpam-6341	103	10	form	form	NOUN
ejpam-6341	103	11	h	h	NOUN
ejpam-6341	103	12	=	=	SYM
ejpam-6341	103	13	p21	p21	NOUN
ejpam-6341	103	14	+	+	X
ejpam-6341	103	15	p22	p22	NOUN
ejpam-6341	103	16	+	+	CCONJ
ejpam-6341	103	17	1	1	NUM
ejpam-6341	103	18	12	12	NUM
ejpam-6341	103	19	(	(	PUNCT
ejpam-6341	103	20	q31	q31	NOUN
ejpam-6341	103	21	+	+	CCONJ
ejpam-6341	103	22	q32)−	q32)−	ADJ
ejpam-6341	103	23	c	c	NOUN
ejpam-6341	103	24	4	4	NUM
ejpam-6341	103	25	(	(	PUNCT
ejpam-6341	103	26	q1	q1	NOUN
ejpam-6341	103	27	+	+	CCONJ
ejpam-6341	103	28	q2	q2	NOUN
ejpam-6341	103	29	)	)	PUNCT
ejpam-6341	103	30	.	.	PUNCT
ejpam-6341	104	1	(	(	PUNCT
ejpam-6341	104	2	5	5	X
ejpam-6341	104	3	)	)	PUNCT
ejpam-6341	104	4	using	use	VERB
ejpam-6341	104	5	hamilton	hamilton	PROPN
ejpam-6341	104	6	jacobi	jacobi	PROPN
ejpam-6341	104	7	equations	equations	PROPN
ejpam-6341	104	8	h+	h+	PUNCT
ejpam-6341	104	9	(	(	PUNCT
ejpam-6341	104	10	∂w	∂w	PROPN
ejpam-6341	104	11	∂q1	∂q1	NOUN
ejpam-6341	104	12	)	)	PUNCT
ejpam-6341	104	13	2	2	NUM
ejpam-6341	105	1	+	+	CCONJ
ejpam-6341	105	2	(	(	PUNCT
ejpam-6341	105	3	∂w	∂w	PROPN
ejpam-6341	105	4	∂q2	∂q2	NOUN
ejpam-6341	105	5	)	)	PUNCT
ejpam-6341	105	6	2	2	NUM
ejpam-6341	105	7	+	+	CCONJ
ejpam-6341	105	8	1	1	NUM
ejpam-6341	105	9	12	12	NUM
ejpam-6341	105	10	(	(	PUNCT
ejpam-6341	105	11	q31	q31	NOUN
ejpam-6341	105	12	+	+	CCONJ
ejpam-6341	105	13	q32)−	q32)−	ADJ
ejpam-6341	105	14	c	c	NOUN
ejpam-6341	105	15	4	4	NUM
ejpam-6341	105	16	(	(	PUNCT
ejpam-6341	105	17	q1	q1	NOUN
ejpam-6341	105	18	+	+	CCONJ
ejpam-6341	105	19	q2	q2	NOUN
ejpam-6341	105	20	)	)	PUNCT
ejpam-6341	105	21	=	=	SYM
ejpam-6341	105	22	0	0	NUM
ejpam-6341	105	23	,	,	PUNCT
ejpam-6341	105	24	(	(	PUNCT
ejpam-6341	105	25	6	6	NUM
ejpam-6341	105	26	)	)	PUNCT
ejpam-6341	105	27	where	where	SCONJ
ejpam-6341	105	28	w	w	NOUN
ejpam-6341	105	29	is	be	AUX
ejpam-6341	105	30	a	a	DET
ejpam-6341	105	31	complete	complete	ADJ
ejpam-6341	105	32	integral	integral	ADJ
ejpam-6341	105	33	and	and	CCONJ
ejpam-6341	105	34	it	it	PRON
ejpam-6341	105	35	has	have	VERB
ejpam-6341	105	36	the	the	DET
ejpam-6341	105	37	form	form	NOUN
ejpam-6341	105	38	w	w	NOUN
ejpam-6341	105	39	=	=	SYM
ejpam-6341	105	40	w1(q1	w1(q1	NOUN
ejpam-6341	105	41	)	)	PUNCT
ejpam-6341	106	1	+	+	NOUN
ejpam-6341	106	2	w2(q2	w2(q2	NOUN
ejpam-6341	106	3	)	)	PUNCT
ejpam-6341	106	4	.	.	PUNCT
ejpam-6341	107	1	(	(	PUNCT
ejpam-6341	107	2	7	7	NUM
ejpam-6341	107	3	)	)	PUNCT
ejpam-6341	107	4	thus	thus	ADV
ejpam-6341	107	5	,	,	PUNCT
ejpam-6341	107	6	equation	equation	NOUN
ejpam-6341	107	7	(	(	PUNCT
ejpam-6341	107	8	6	6	NUM
ejpam-6341	107	9	)	)	PUNCT
ejpam-6341	107	10	can	can	AUX
ejpam-6341	107	11	be	be	AUX
ejpam-6341	107	12	introduced	introduce	VERB
ejpam-6341	107	13	as	as	ADP
ejpam-6341	107	14	2	2	NUM
ejpam-6341	107	15	(	(	PUNCT
ejpam-6341	107	16	dw1	dw1	PROPN
ejpam-6341	107	17	dq1	dq1	PROPN
ejpam-6341	107	18	)	)	PUNCT
ejpam-6341	107	19	2	2	NUM
ejpam-6341	107	20	+	+	CCONJ
ejpam-6341	107	21	q31	q31	NUM
ejpam-6341	107	22	6	6	NUM
ejpam-6341	107	23	−	−	NOUN
ejpam-6341	107	24	c	c	NOUN
ejpam-6341	107	25	2q1	2q1	NUM
ejpam-6341	107	26	+	+	CCONJ
ejpam-6341	107	27	h	h	NOUN
ejpam-6341	107	28	=	=	SYM
ejpam-6341	107	29	α	α	PROPN
ejpam-6341	107	30	,	,	PUNCT
ejpam-6341	107	31	2	2	NUM
ejpam-6341	107	32	(	(	PUNCT
ejpam-6341	107	33	dw2	dw2	NOUN
ejpam-6341	107	34	dq2	dq2	NOUN
ejpam-6341	107	35	)	)	PUNCT
ejpam-6341	107	36	2	2	NUM
ejpam-6341	108	1	+	+	PRON
ejpam-6341	108	2	q32	q32	VERB
ejpam-6341	108	3	6	6	NUM
ejpam-6341	108	4	−	−	NOUN
ejpam-6341	108	5	c	c	NOUN
ejpam-6341	108	6	2q2	2q2	NUM
ejpam-6341	108	7	+	+	CCONJ
ejpam-6341	108	8	h	h	NOUN
ejpam-6341	108	9	=	=	SYM
ejpam-6341	108	10	−α	−α	PROPN
ejpam-6341	108	11	,	,	PUNCT
ejpam-6341	108	12	(	(	PUNCT
ejpam-6341	108	13	8)	8)	NUM
ejpam-6341	108	14	t.	t.	PROPN
ejpam-6341	108	15	s.	s.	PROPN
ejpam-6341	108	16	amer	amer	PROPN
ejpam-6341	108	17	et	et	PROPN
ejpam-6341	108	18	al	al	PROPN
ejpam-6341	108	19	.	.	PUNCT
ejpam-6341	108	20	/	/	SYM
ejpam-6341	108	21	eur	eur	PROPN
ejpam-6341	108	22	.	.	PUNCT
ejpam-6341	109	1	j.	j.	PROPN
ejpam-6341	109	2	pure	pure	PROPN
ejpam-6341	109	3	appl	appl	PROPN
ejpam-6341	109	4	.	.	PROPN
ejpam-6341	109	5	math	math	PROPN
ejpam-6341	109	6	,	,	PUNCT
ejpam-6341	109	7	18	18	NUM
ejpam-6341	109	8	(	(	PUNCT
ejpam-6341	109	9	3	3	NUM
ejpam-6341	109	10	)	)	PUNCT
ejpam-6341	109	11	(	(	PUNCT
ejpam-6341	109	12	2025	2025	NUM
ejpam-6341	109	13	)	)	PUNCT
ejpam-6341	109	14	,	,	PUNCT
ejpam-6341	109	15	6341	6341	NUM
ejpam-6341	109	16	6	6	NUM
ejpam-6341	109	17	of	of	ADP
ejpam-6341	109	18	22	22	NUM
ejpam-6341	109	19	and	and	CCONJ
ejpam-6341	109	20	w	w	NOUN
ejpam-6341	109	21	can	can	AUX
ejpam-6341	109	22	be	be	AUX
ejpam-6341	109	23	obtained	obtain	VERB
ejpam-6341	109	24	in	in	ADP
ejpam-6341	109	25	the	the	DET
ejpam-6341	109	26	following	follow	VERB
ejpam-6341	109	27	form	form	NOUN
ejpam-6341	109	28	w	w	PROPN
ejpam-6341	109	29	=	=	PUNCT
ejpam-6341	109	30	∫	∫	PROPN
ejpam-6341	109	31	√	√	PROPN
ejpam-6341	109	32	ϕ(z)dz	ϕ(z)dz	PROPN
ejpam-6341	109	33	,	,	PUNCT
ejpam-6341	109	34	(	(	PUNCT
ejpam-6341	109	35	9	9	X
ejpam-6341	109	36	)	)	PUNCT
ejpam-6341	109	37	where	where	SCONJ
ejpam-6341	109	38	ϕ(z	ϕ(z	NOUN
ejpam-6341	109	39	)	)	PUNCT
ejpam-6341	109	40	=	=	PUNCT
ejpam-6341	110	1	±2α−	±2α−	NOUN
ejpam-6341	110	2	2h−	2h−	NUM
ejpam-6341	110	3	z3	z3	PROPN
ejpam-6341	110	4	3	3	NUM
ejpam-6341	110	5	+	+	CCONJ
ejpam-6341	110	6	cz	cz	NOUN
ejpam-6341	110	7	,	,	PUNCT
ejpam-6341	110	8	z	z	NOUN
ejpam-6341	110	9	=	=	SYM
ejpam-6341	110	10	z(q1	z(q1	PROPN
ejpam-6341	110	11	,	,	PUNCT
ejpam-6341	110	12	q2	q2	PROPN
ejpam-6341	110	13	)	)	PUNCT
ejpam-6341	110	14	.	.	PUNCT
ejpam-6341	111	1	(	(	PUNCT
ejpam-6341	111	2	10	10	NUM
ejpam-6341	111	3	)	)	PUNCT
ejpam-6341	111	4	thus	thus	ADV
ejpam-6341	111	5	,	,	PUNCT
ejpam-6341	111	6	the	the	DET
ejpam-6341	111	7	differential	differential	ADJ
ejpam-6341	111	8	equation	equation	NOUN
ejpam-6341	111	9	can	can	AUX
ejpam-6341	111	10	be	be	AUX
ejpam-6341	111	11	written	write	VERB
ejpam-6341	111	12	as	as	ADP
ejpam-6341	111	13	dz√	dz√	ADJ
ejpam-6341	111	14	ϕ(z	ϕ(z	NOUN
ejpam-6341	111	15	)	)	PUNCT
ejpam-6341	112	1	=	=	SYM
ejpam-6341	112	2	t−	t−	PROPN
ejpam-6341	112	3	t0	t0	PROPN
ejpam-6341	112	4	.	.	PUNCT
ejpam-6341	113	1	(	(	PUNCT
ejpam-6341	113	2	11	11	NUM
ejpam-6341	113	3	)	)	PUNCT
ejpam-6341	113	4	2.1	2.1	NUM
ejpam-6341	113	5	.	.	PUNCT
ejpam-6341	114	1	topological	topological	ADJ
ejpam-6341	114	2	analysis	analysis	NOUN
ejpam-6341	114	3	the	the	DET
ejpam-6341	114	4	fomenko	fomenko	ADJ
ejpam-6341	114	5	categorization	categorization	NOUN
ejpam-6341	114	6	is	be	AUX
ejpam-6341	114	7	used	use	VERB
ejpam-6341	114	8	for	for	ADP
ejpam-6341	114	9	identifying	identify	VERB
ejpam-6341	114	10	all	all	DET
ejpam-6341	114	11	generic	generic	ADJ
ejpam-6341	114	12	ltb	ltb	NOUN
ejpam-6341	114	13	in	in	ADP
ejpam-6341	114	14	this	this	DET
ejpam-6341	114	15	section	section	NOUN
ejpam-6341	114	16	.	.	PUNCT
ejpam-6341	115	1	thus	thus	ADV
ejpam-6341	115	2	,	,	PUNCT
ejpam-6341	115	3	the	the	DET
ejpam-6341	115	4	definitions	definition	NOUN
ejpam-6341	115	5	below	below	ADV
ejpam-6341	115	6	are	be	AUX
ejpam-6341	115	7	considered	consider	VERB
ejpam-6341	115	8	[	[	PUNCT
ejpam-6341	115	9	37	37	NUM
ejpam-6341	115	10	]	]	PUNCT
ejpam-6341	115	11	.	.	PUNCT
ejpam-6341	116	1	(	(	PUNCT
ejpam-6341	116	2	i	i	NOUN
ejpam-6341	116	3	)	)	PUNCT
ejpam-6341	116	4	if	if	SCONJ
ejpam-6341	116	5	there	there	PRON
ejpam-6341	116	6	is	be	VERB
ejpam-6341	116	7	a	a	DET
ejpam-6341	116	8	simple	simple	ADJ
ejpam-6341	116	9	manifold	manifold	ADJ
ejpam-6341	116	10	system	system	NOUN
ejpam-6341	116	11	m2n	m2n	NOUN
ejpam-6341	116	12	with	with	ADP
ejpam-6341	116	13	f	f	NOUN
ejpam-6341	116	14	:	:	PUNCT
ejpam-6341	116	15	m2n	m2n	NOUN
ejpam-6341	116	16	→	→	SYM
ejpam-6341	116	17	r2n	r2n	NOUN
ejpam-6341	116	18	,	,	PUNCT
ejpam-6341	116	19	and	and	CCONJ
ejpam-6341	116	20	f1	f1	NOUN
ejpam-6341	116	21	,	,	PUNCT
ejpam-6341	116	22	f2	f2	PROPN
ejpam-6341	116	23	,	,	PUNCT
ejpam-6341	116	24	.	.	PUNCT
ejpam-6341	116	25	.	.	PUNCT
ejpam-6341	117	1	.	.	PUNCT
ejpam-6341	118	1	,	,	PUNCT
ejpam-6341	118	2	fn	fn	INTJ
ejpam-6341	118	3	as	as	ADP
ejpam-6341	118	4	independent	independent	ADJ
ejpam-6341	118	5	integrals	integral	NOUN
ejpam-6341	118	6	,	,	PUNCT
ejpam-6341	118	7	the	the	DET
ejpam-6341	118	8	function	function	NOUN
ejpam-6341	118	9	f	f	X
ejpam-6341	118	10	(	(	PUNCT
ejpam-6341	118	11	x	x	X
ejpam-6341	118	12	)	)	PUNCT
ejpam-6341	118	13	=	=	SYM
ejpam-6341	118	14	(	(	PUNCT
ejpam-6341	118	15	f1	f1	PROPN
ejpam-6341	118	16	,	,	PUNCT
ejpam-6341	118	17	f2	f2	PROPN
ejpam-6341	118	18	,	,	PUNCT
ejpam-6341	118	19	.	.	PUNCT
ejpam-6341	118	20	.	.	PUNCT
ejpam-6341	119	1	.	.	PUNCT
ejpam-6341	120	1	,	,	PUNCT
ejpam-6341	120	2	fn	fn	X
ejpam-6341	120	3	)	)	PUNCT
ejpam-6341	120	4	is	be	AUX
ejpam-6341	120	5	referred	refer	VERB
ejpam-6341	120	6	to	to	ADP
ejpam-6341	120	7	as	as	ADP
ejpam-6341	120	8	momentum	momentum	NOUN
ejpam-6341	120	9	mapping	mapping	NOUN
ejpam-6341	120	10	.	.	PUNCT
ejpam-6341	121	1	(	(	PUNCT
ejpam-6341	121	2	ii	ii	NOUN
ejpam-6341	121	3	)	)	PUNCT
ejpam-6341	121	4	if	if	SCONJ
ejpam-6341	121	5	the	the	DET
ejpam-6341	121	6	rank	rank	NOUN
ejpam-6341	121	7	satisfies	satisfy	VERB
ejpam-6341	121	8	df	df	PROPN
ejpam-6341	121	9	(	(	PUNCT
ejpam-6341	121	10	x	x	X
ejpam-6341	121	11	)	)	PUNCT
ejpam-6341	121	12	<	<	X
ejpam-6341	121	13	n	n	CCONJ
ejpam-6341	121	14	,	,	PUNCT
ejpam-6341	121	15	and	and	CCONJ
ejpam-6341	121	16	f	f	PROPN
ejpam-6341	121	17	(	(	PUNCT
ejpam-6341	121	18	x	x	X
ejpam-6341	121	19	)	)	PUNCT
ejpam-6341	121	20	∈	∈	PROPN
ejpam-6341	121	21	rn	rn	PROPN
ejpam-6341	121	22	,	,	PUNCT
ejpam-6341	121	23	then	then	ADV
ejpam-6341	121	24	x	x	SYM
ejpam-6341	121	25	∈	∈	PROPN
ejpam-6341	121	26	m	m	VERB
ejpam-6341	121	27	is	be	AUX
ejpam-6341	121	28	recognized	recognize	VERB
ejpam-6341	121	29	as	as	ADP
ejpam-6341	121	30	a	a	DET
ejpam-6341	121	31	critical	critical	ADJ
ejpam-6341	121	32	point	point	NOUN
ejpam-6341	121	33	of	of	ADP
ejpam-6341	121	34	the	the	DET
ejpam-6341	121	35	momentum	momentum	NOUN
ejpam-6341	121	36	mapping	mapping	NOUN
ejpam-6341	121	37	.	.	PUNCT
ejpam-6341	122	1	(	(	PUNCT
ejpam-6341	122	2	iii	iii	X
ejpam-6341	122	3	)	)	PUNCT
ejpam-6341	122	4	the	the	DET
ejpam-6341	122	5	bifurcation	bifurcation	NOUN
ejpam-6341	122	6	graph	graph	NOUN
ejpam-6341	122	7	is	be	AUX
ejpam-6341	122	8	the	the	DET
ejpam-6341	122	9	set	set	NOUN
ejpam-6341	122	10	b	b	NOUN
ejpam-6341	122	11	=	=	SYM
ejpam-6341	122	12	f	f	PROPN
ejpam-6341	122	13	(	(	PUNCT
ejpam-6341	122	14	k	k	NOUN
ejpam-6341	122	15	)	)	PUNCT
ejpam-6341	122	16	⊂	⊂	PROPN
ejpam-6341	122	17	rn	rn	AUX
ejpam-6341	122	18	formed	form	VERB
ejpam-6341	122	19	by	by	ADP
ejpam-6341	122	20	the	the	DET
ejpam-6341	122	21	union	union	NOUN
ejpam-6341	122	22	of	of	ADP
ejpam-6341	122	23	many	many	ADJ
ejpam-6341	122	24	parts	part	NOUN
ejpam-6341	122	25	bk	bk	VERB
ejpam-6341	122	26	.	.	PUNCT
ejpam-6341	123	1	(	(	PUNCT
ejpam-6341	123	2	iv	iv	X
ejpam-6341	123	3	)	)	PUNCT
ejpam-6341	123	4	the	the	DET
ejpam-6341	123	5	set	set	NOUN
ejpam-6341	123	6	of	of	ADP
ejpam-6341	123	7	all	all	DET
ejpam-6341	123	8	critical	critical	ADJ
ejpam-6341	123	9	points	point	NOUN
ejpam-6341	123	10	associated	associate	VERB
ejpam-6341	123	11	with	with	ADP
ejpam-6341	123	12	the	the	DET
ejpam-6341	123	13	momentum	momentum	NOUN
ejpam-6341	123	14	mapping	mapping	NOUN
ejpam-6341	123	15	z	z	NOUN
ejpam-6341	123	16	is	be	AUX
ejpam-6341	123	17	contained	contain	VERB
ejpam-6341	123	18	within	within	ADP
ejpam-6341	123	19	the	the	DET
ejpam-6341	123	20	set	set	NOUN
ejpam-6341	123	21	m	m	NOUN
ejpam-6341	123	22	.	.	PUNCT
ejpam-6341	124	1	in	in	ADP
ejpam-6341	124	2	the	the	DET
ejpam-6341	124	3	present	present	ADJ
ejpam-6341	124	4	problem	problem	NOUN
ejpam-6341	124	5	the	the	DET
ejpam-6341	124	6	ls	ls	PROPN
ejpam-6341	124	7	has	have	VERB
ejpam-6341	124	8	the	the	DET
ejpam-6341	124	9	topology	topology	NOUN
ejpam-6341	124	10	ls	ls	ADJ
ejpam-6341	124	11	=	=	PUNCT
ejpam-6341	124	12	{	{	PUNCT
ejpam-6341	124	13	(	(	PUNCT
ejpam-6341	124	14	q1	q1	PROPN
ejpam-6341	124	15	,	,	PUNCT
ejpam-6341	124	16	q2	q2	NOUN
ejpam-6341	124	17	,	,	PUNCT
ejpam-6341	124	18	q̇1	q̇1	PROPN
ejpam-6341	124	19	,	,	PUNCT
ejpam-6341	124	20	q̇2	q̇2	NOUN
ejpam-6341	124	21	)	)	PUNCT
ejpam-6341	124	22	∈	∈	NOUN
ejpam-6341	124	23	r4	r4	NOUN
ejpam-6341	124	24	:	:	PUNCT
ejpam-6341	125	1	h	h	NOUN
ejpam-6341	125	2	=	=	NOUN
ejpam-6341	125	3	h	h	PROPN
ejpam-6341	125	4	,	,	PUNCT
ejpam-6341	125	5	f	f	PROPN
ejpam-6341	125	6	=	=	SYM
ejpam-6341	125	7	α	α	PROPN
ejpam-6341	125	8	⊂	⊂	PROPN
ejpam-6341	125	9	r4	r4	PROPN
ejpam-6341	125	10	}	}	PUNCT
ejpam-6341	125	11	,	,	PUNCT
ejpam-6341	125	12	where	where	SCONJ
ejpam-6341	125	13	ls	ls	PROPN
ejpam-6341	125	14	is	be	AUX
ejpam-6341	125	15	formed	form	VERB
ejpam-6341	125	16	by	by	ADP
ejpam-6341	125	17	a	a	DET
ejpam-6341	125	18	finite	finite	ADJ
ejpam-6341	125	19	union	union	NOUN
ejpam-6341	125	20	of	of	ADP
ejpam-6341	125	21	2	2	NUM
ejpam-6341	125	22	-	-	PUNCT
ejpam-6341	125	23	d	d	NOUN
ejpam-6341	125	24	tori	tori	NOUN
ejpam-6341	125	25	corresponding	correspond	VERB
ejpam-6341	125	26	to	to	ADP
ejpam-6341	125	27	non	non	ADJ
ejpam-6341	125	28	-	-	ADJ
ejpam-6341	125	29	critical	critical	ADJ
ejpam-6341	125	30	values	value	NOUN
ejpam-6341	125	31	of	of	ADP
ejpam-6341	125	32	f	f	PROPN
ejpam-6341	125	33	and	and	CCONJ
ejpam-6341	125	34	h.	h.	PROPN
ejpam-6341	125	35	the	the	DET
ejpam-6341	125	36	set	set	NOUN
ejpam-6341	125	37	of	of	ADP
ejpam-6341	125	38	critical	critical	ADJ
ejpam-6341	125	39	points	point	NOUN
ejpam-6341	125	40	allows	allow	VERB
ejpam-6341	125	41	for	for	ADP
ejpam-6341	125	42	the	the	DET
ejpam-6341	125	43	determination	determination	NOUN
ejpam-6341	125	44	of	of	ADP
ejpam-6341	125	45	the	the	DET
ejpam-6341	125	46	energy	energy	NOUN
ejpam-6341	125	47	-	-	PUNCT
ejpam-6341	125	48	momentum	momentum	NOUN
ejpam-6341	125	49	diagram	diagram	NOUN
ejpam-6341	125	50	.	.	PUNCT
ejpam-6341	126	1	(	(	PUNCT
ejpam-6341	126	2	q1	q1	PROPN
ejpam-6341	126	3	,	,	PUNCT
ejpam-6341	126	4	q2	q2	NOUN
ejpam-6341	126	5	,	,	PUNCT
ejpam-6341	126	6	q̇1	q̇1	PROPN
ejpam-6341	126	7	,	,	PUNCT
ejpam-6341	126	8	q̇2	q̇2	NOUN
ejpam-6341	126	9	)	)	PUNCT
ejpam-6341	126	10	→	→	SYM
ejpam-6341	126	11	(	(	PUNCT
ejpam-6341	126	12	h	h	NOUN
ejpam-6341	126	13	,	,	PUNCT
ejpam-6341	126	14	f	f	PROPN
ejpam-6341	126	15	)	)	PUNCT
ejpam-6341	126	16	,	,	PUNCT
ejpam-6341	126	17	where	where	SCONJ
ejpam-6341	126	18	d	d	NOUN
ejpam-6341	126	19	represents	represent	VERB
ejpam-6341	126	20	the	the	DET
ejpam-6341	126	21	discriminant	discriminant	ADJ
ejpam-6341	126	22	region	region	NOUN
ejpam-6341	126	23	of	of	ADP
ejpam-6341	126	24	the	the	DET
ejpam-6341	126	25	functions	function	NOUN
ejpam-6341	126	26	ϕ(q1	ϕ(q1	PROPN
ejpam-6341	126	27	)	)	PUNCT
ejpam-6341	126	28	and	and	CCONJ
ejpam-6341	126	29	ϕ(q2	ϕ(q2	NOUN
ejpam-6341	126	30	)	)	PUNCT
ejpam-6341	126	31	,	,	PUNCT
ejpam-6341	126	32	where	where	SCONJ
ejpam-6341	126	33	their	their	PRON
ejpam-6341	126	34	coefficients	coefficient	NOUN
ejpam-6341	126	35	are	be	AUX
ejpam-6341	126	36	given	give	VERB
ejpam-6341	126	37	in	in	ADP
ejpam-6341	126	38	terms	term	NOUN
ejpam-6341	126	39	of	of	ADP
ejpam-6341	126	40	h	h	NOUN
ejpam-6341	126	41	and	and	CCONJ
ejpam-6341	126	42	α	α	NOUN
ejpam-6341	126	43	d	d	NOUN
ejpam-6341	126	44	=	=	SYM
ejpam-6341	126	45	d1	d1	PROPN
ejpam-6341	126	46	∪d2	∪d2	NOUN
ejpam-6341	127	1	=	=	PUNCT
ejpam-6341	128	1	[	[	X
ejpam-6341	128	2	(	(	PUNCT
ejpam-6341	128	3	h	h	NOUN
ejpam-6341	128	4	,	,	PUNCT
ejpam-6341	128	5	α	α	NOUN
ejpam-6341	128	6	)	)	PUNCT
ejpam-6341	128	7	∈	∈	PROPN
ejpam-6341	128	8	r2	r2	PROPN
ejpam-6341	128	9	/	/	SYM
ejpam-6341	128	10	disc(ϕ(q1	disc(ϕ(q1	NOUN
ejpam-6341	128	11	)	)	PUNCT
ejpam-6341	128	12	)	)	PUNCT
ejpam-6341	129	1	=	=	PUNCT
ejpam-6341	129	2	0	0	X
ejpam-6341	129	3	]	]	PUNCT
ejpam-6341	129	4	∪	∪	X
ejpam-6341	129	5	[	[	X
ejpam-6341	129	6	(	(	PUNCT
ejpam-6341	129	7	h	h	NOUN
ejpam-6341	129	8	,	,	PUNCT
ejpam-6341	129	9	α	α	NOUN
ejpam-6341	129	10	)	)	PUNCT
ejpam-6341	129	11	∈	∈	PROPN
ejpam-6341	129	12	r2	r2	PROPN
ejpam-6341	129	13	/	/	SYM
ejpam-6341	129	14	disc(ϕ(q2	disc(ϕ(q2	NOUN
ejpam-6341	129	15	)	)	PUNCT
ejpam-6341	129	16	)	)	PUNCT
ejpam-6341	130	1	=	=	PUNCT
ejpam-6341	130	2	0	0	NUM
ejpam-6341	130	3	]	]	PUNCT
ejpam-6341	130	4	.	.	PUNCT
ejpam-6341	131	1	(	(	PUNCT
ejpam-6341	131	2	12	12	NUM
ejpam-6341	131	3	)	)	PUNCT
ejpam-6341	131	4	t.	t.	PROPN
ejpam-6341	131	5	s.	s.	PROPN
ejpam-6341	131	6	amer	amer	PROPN
ejpam-6341	131	7	et	et	PROPN
ejpam-6341	131	8	al	al	PROPN
ejpam-6341	131	9	.	.	PUNCT
ejpam-6341	131	10	/	/	SYM
ejpam-6341	131	11	eur	eur	PROPN
ejpam-6341	131	12	.	.	PUNCT
ejpam-6341	132	1	j.	j.	PROPN
ejpam-6341	132	2	pure	pure	PROPN
ejpam-6341	132	3	appl	appl	PROPN
ejpam-6341	132	4	.	.	PROPN
ejpam-6341	132	5	math	math	PROPN
ejpam-6341	132	6	,	,	PUNCT
ejpam-6341	132	7	18	18	NUM
ejpam-6341	132	8	(	(	PUNCT
ejpam-6341	132	9	3	3	NUM
ejpam-6341	132	10	)	)	PUNCT
ejpam-6341	132	11	(	(	PUNCT
ejpam-6341	132	12	2025	2025	NUM
ejpam-6341	132	13	)	)	PUNCT
ejpam-6341	132	14	,	,	PUNCT
ejpam-6341	132	15	6341	6341	NUM
ejpam-6341	132	16	7	7	NUM
ejpam-6341	132	17	of	of	ADP
ejpam-6341	132	18	22	22	NUM
ejpam-6341	132	19	the	the	DET
ejpam-6341	132	20	point	point	NOUN
ejpam-6341	132	21	(	(	PUNCT
ejpam-6341	132	22	h	h	NOUN
ejpam-6341	132	23	,	,	PUNCT
ejpam-6341	132	24	α	α	NOUN
ejpam-6341	132	25	)	)	PUNCT
ejpam-6341	132	26	that	that	PRON
ejpam-6341	132	27	passes	pass	VERB
ejpam-6341	132	28	through	through	ADP
ejpam-6341	132	29	d	d	PROPN
ejpam-6341	132	30	can	can	AUX
ejpam-6341	132	31	modify	modify	VERB
ejpam-6341	132	32	the	the	DET
ejpam-6341	132	33	topological	topological	ADJ
ejpam-6341	132	34	kind	kind	NOUN
ejpam-6341	132	35	of	of	ADP
ejpam-6341	132	36	ls	ls	PROPN
ejpam-6341	132	37	.	.	PUNCT
ejpam-6341	133	1	the	the	DET
ejpam-6341	133	2	set	set	VERB
ejpam-6341	133	3	r2	r2	PROPN
ejpam-6341	133	4	/	/	SYM
ejpam-6341	134	1	d	d	NOUN
ejpam-6341	134	2	comprised	comprise	VERB
ejpam-6341	134	3	of	of	ADP
ejpam-6341	134	4	16	16	NUM
ejpam-6341	134	5	connected	connected	ADJ
ejpam-6341	134	6	parts	part	NOUN
ejpam-6341	134	7	as	as	SCONJ
ejpam-6341	134	8	depicted	depict	VERB
ejpam-6341	134	9	in	in	ADP
ejpam-6341	134	10	figure1	figure1	PROPN
ejpam-6341	134	11	.	.	PUNCT
ejpam-6341	135	1	as	as	ADP
ejpam-6341	135	2	a	a	DET
ejpam-6341	135	3	result	result	NOUN
ejpam-6341	135	4	,	,	PUNCT
ejpam-6341	135	5	in	in	ADP
ejpam-6341	135	6	every	every	DET
ejpam-6341	135	7	connected	connected	ADJ
ejpam-6341	135	8	part	part	NOUN
ejpam-6341	135	9	of	of	ADP
ejpam-6341	135	10	r2	r2	PROPN
ejpam-6341	135	11	/	/	SYM
ejpam-6341	135	12	d	d	PROPN
ejpam-6341	135	13	,	,	PUNCT
ejpam-6341	135	14	the	the	DET
ejpam-6341	135	15	level	level	NOUN
ejpam-6341	135	16	set	set	VERB
ejpam-6341	135	17	ls	ls	PROPN
ejpam-6341	135	18	contains	contain	VERB
ejpam-6341	135	19	the	the	DET
ejpam-6341	135	20	preceding	precede	VERB
ejpam-6341	135	21	one	one	NUM
ejpam-6341	135	22	type	type	NOUN
ejpam-6341	135	23	.	.	PUNCT
ejpam-6341	136	1	when	when	SCONJ
ejpam-6341	136	2	h	h	PROPN
ejpam-6341	136	3	and	and	CCONJ
ejpam-6341	136	4	f	f	PROPN
ejpam-6341	136	5	are	be	AUX
ejpam-6341	136	6	noncritical	noncritical	ADJ
ejpam-6341	136	7	,	,	PUNCT
ejpam-6341	136	8	the	the	DET
ejpam-6341	136	9	level	level	NOUN
ejpam-6341	136	10	set	set	VERB
ejpam-6341	136	11	ls	ls	ADJ
ejpam-6341	136	12	forms	form	NOUN
ejpam-6341	136	13	a	a	DET
ejpam-6341	136	14	finite	finite	ADJ
ejpam-6341	136	15	union	union	NOUN
ejpam-6341	136	16	of	of	ADP
ejpam-6341	136	17	lower	lower	ADV
ejpam-6341	136	18	-	-	PUNCT
ejpam-6341	136	19	dimensional	dimensional	ADJ
ejpam-6341	136	20	tori	tori	NOUN
ejpam-6341	137	1	[	[	X
ejpam-6341	137	2	38	38	NUM
ejpam-6341	137	3	]	]	PUNCT
ejpam-6341	137	4	.	.	PUNCT
ejpam-6341	138	1	the	the	DET
ejpam-6341	138	2	number	number	NOUN
ejpam-6341	138	3	of	of	ADP
ejpam-6341	138	4	acceptable	acceptable	ADJ
ejpam-6341	138	5	ovals	oval	NOUN
ejpam-6341	138	6	on	on	ADP
ejpam-6341	138	7	the	the	DET
ejpam-6341	138	8	riemann	riemann	PROPN
ejpam-6341	138	9	surface	surface	NOUN
ejpam-6341	138	10	associated	associate	VERB
ejpam-6341	138	11	to	to	ADP
ejpam-6341	138	12	elliptical	elliptical	ADJ
ejpam-6341	138	13	curves	curve	NOUN
ejpam-6341	138	14	γj	γj	ADP
ejpam-6341	138	15	determines	determine	VERB
ejpam-6341	138	16	their	their	PRON
ejpam-6341	138	17	numbers	number	NOUN
ejpam-6341	138	18	,	,	PUNCT
ejpam-6341	138	19	where	where	SCONJ
ejpam-6341	138	20	γj	γj	NOUN
ejpam-6341	138	21	:	:	PUNCT
ejpam-6341	138	22	ωj	ωj	ADP
ejpam-6341	138	23	=	=	SYM
ejpam-6341	138	24	√	√	PROPN
ejpam-6341	138	25	ϕ(qj	ϕ(qj	NUM
ejpam-6341	138	26	)	)	PUNCT
ejpam-6341	138	27	,	,	PUNCT
ejpam-6341	138	28	j	j	PROPN
ejpam-6341	138	29	=	=	SYM
ejpam-6341	138	30	1	1	NUM
ejpam-6341	138	31	,	,	PUNCT
ejpam-6341	138	32	2	2	NUM
ejpam-6341	138	33	.	.	PUNCT
ejpam-6341	138	34	table1	table1	PROPN
ejpam-6341	138	35	describes	describe	VERB
ejpam-6341	138	36	the	the	DET
ejpam-6341	138	37	roots	root	NOUN
ejpam-6341	138	38	of	of	ADP
ejpam-6341	138	39	both	both	DET
ejpam-6341	138	40	ϕ(q1	ϕ(q1	NOUN
ejpam-6341	138	41	)	)	PUNCT
ejpam-6341	138	42	and	and	CCONJ
ejpam-6341	138	43	ϕ(q2	ϕ(q2	NOUN
ejpam-6341	138	44	)	)	PUNCT
ejpam-6341	138	45	,	,	PUNCT
ejpam-6341	138	46	whereas	whereas	SCONJ
ejpam-6341	138	47	table2	table2	PROPN
ejpam-6341	138	48	illustrates	illustrate	VERB
ejpam-6341	138	49	that	that	SCONJ
ejpam-6341	138	50	ls	ls	PROPN
ejpam-6341	138	51	is	be	AUX
ejpam-6341	138	52	either	either	CCONJ
ejpam-6341	138	53	a	a	DET
ejpam-6341	138	54	torus	torus	NOUN
ejpam-6341	138	55	or	or	CCONJ
ejpam-6341	138	56	a	a	DET
ejpam-6341	138	57	set	set	NOUN
ejpam-6341	138	58	of	of	ADP
ejpam-6341	138	59	non	non	NOUN
ejpam-6341	138	60	-	-	NOUN
ejpam-6341	138	61	elements	element	NOUN
ejpam-6341	138	62	[	[	X
ejpam-6341	138	63	39	39	NUM
ejpam-6341	138	64	]	]	PUNCT
ejpam-6341	138	65	]	]	PUNCT
ejpam-6341	138	66	.	.	PUNCT
ejpam-6341	139	1	figure	figure	NOUN
ejpam-6341	139	2	1	1	NUM
ejpam-6341	139	3	:	:	PUNCT
ejpam-6341	139	4	diagram	diagram	NOUN
ejpam-6341	139	5	of	of	ADP
ejpam-6341	139	6	bifurcation	bifurcation	NOUN
ejpam-6341	140	1	d	d	NOUN
ejpam-6341	140	2	=	=	SYM
ejpam-6341	140	3	d1	d1	PROPN
ejpam-6341	140	4	∪d2	∪d2	PROPN
ejpam-6341	140	5	.	.	PUNCT
ejpam-6341	141	1	figure	figure	VERB
ejpam-6341	141	2	2	2	NUM
ejpam-6341	141	3	:	:	PUNCT
ejpam-6341	141	4	the	the	DET
ejpam-6341	141	5	ltb	ltb	PROPN
ejpam-6341	141	6	.	.	PUNCT
ejpam-6341	142	1	t.	t.	PROPN
ejpam-6341	142	2	s.	s.	PROPN
ejpam-6341	142	3	amer	amer	PROPN
ejpam-6341	142	4	et	et	PROPN
ejpam-6341	142	5	al	al	PROPN
ejpam-6341	142	6	.	.	PUNCT
ejpam-6341	142	7	/	/	SYM
ejpam-6341	142	8	eur	eur	PROPN
ejpam-6341	142	9	.	.	PUNCT
ejpam-6341	143	1	j.	j.	PROPN
ejpam-6341	143	2	pure	pure	PROPN
ejpam-6341	143	3	appl	appl	PROPN
ejpam-6341	143	4	.	.	PROPN
ejpam-6341	143	5	math	math	PROPN
ejpam-6341	143	6	,	,	PUNCT
ejpam-6341	143	7	18	18	NUM
ejpam-6341	143	8	(	(	PUNCT
ejpam-6341	143	9	3	3	NUM
ejpam-6341	143	10	)	)	PUNCT
ejpam-6341	143	11	(	(	PUNCT
ejpam-6341	143	12	2025	2025	NUM
ejpam-6341	143	13	)	)	PUNCT
ejpam-6341	143	14	,	,	PUNCT
ejpam-6341	143	15	6341	6341	NUM
ejpam-6341	143	16	8	8	NUM
ejpam-6341	143	17	of	of	ADP
ejpam-6341	143	18	22	22	NUM
ejpam-6341	143	19	table	table	NOUN
ejpam-6341	143	20	1	1	NUM
ejpam-6341	143	21	:	:	PUNCT
ejpam-6341	143	22	topological	topological	ADJ
ejpam-6341	143	23	class	class	NOUN
ejpam-6341	143	24	of	of	ADP
ejpam-6341	143	25	ls	ls	PROPN
ejpam-6341	143	26	and	and	CCONJ
ejpam-6341	143	27	the	the	DET
ejpam-6341	143	28	real	real	ADJ
ejpam-6341	143	29	roots	root	NOUN
ejpam-6341	143	30	of	of	ADP
ejpam-6341	143	31	ϕ(q1	ϕ(q1	NOUN
ejpam-6341	143	32	)	)	PUNCT
ejpam-6341	143	33	and	and	CCONJ
ejpam-6341	143	34	ϕ(q2	ϕ(q2	NOUN
ejpam-6341	143	35	)	)	PUNCT
ejpam-6341	143	36	for	for	ADP
ejpam-6341	143	37	(	(	PUNCT
ejpam-6341	143	38	h	h	NOUN
ejpam-6341	143	39	,	,	PUNCT
ejpam-6341	143	40	α	α	NOUN
ejpam-6341	143	41	)	)	PUNCT
ejpam-6341	143	42	∈	∈	PROPN
ejpam-6341	143	43	r2	r2	PROPN
ejpam-6341	143	44	/	/	SYM
ejpam-6341	143	45	d.	d.	PROPN
ejpam-6341	143	46	domain	domain	NOUN
ejpam-6341	143	47	roots	root	NOUN
ejpam-6341	143	48	of	of	ADP
ejpam-6341	143	49	ϕ(q1	ϕ(q1	NOUN
ejpam-6341	143	50	)	)	PUNCT
ejpam-6341	143	51	roots	root	NOUN
ejpam-6341	143	52	of	of	ADP
ejpam-6341	143	53	ϕ(q2	ϕ(q2	NOUN
ejpam-6341	143	54	)	)	PUNCT
ejpam-6341	143	55	1	1	NUM
ejpam-6341	143	56	0	0	NUM
ejpam-6341	143	57	0	0	NUM
ejpam-6341	143	58	2	2	NUM
ejpam-6341	143	59	0	0	NUM
ejpam-6341	143	60	0	0	NUM
ejpam-6341	143	61	3	3	NUM
ejpam-6341	143	62	a	a	PRON
ejpam-6341	143	63	>	>	X
ejpam-6341	143	64	0	0	NUM
ejpam-6341	143	65	0	0	NUM
ejpam-6341	143	66	4	4	NUM
ejpam-6341	143	67	a	a	DET
ejpam-6341	143	68	>	>	X
ejpam-6341	143	69	0	0	NUM
ejpam-6341	143	70	0	0	NUM
ejpam-6341	143	71	5	5	NUM
ejpam-6341	143	72	a	a	PRON
ejpam-6341	143	73	>	>	X
ejpam-6341	143	74	0	0	NUM
ejpam-6341	143	75	0	0	NUM
ejpam-6341	143	76	6	6	NUM
ejpam-6341	143	77	a	a	PRON
ejpam-6341	143	78	>	>	X
ejpam-6341	143	79	0	0	NUM
ejpam-6341	143	80	b	b	X
ejpam-6341	143	81	>	>	X
ejpam-6341	143	82	0	0	NUM
ejpam-6341	143	83	7	7	NUM
ejpam-6341	143	84	a	a	PRON
ejpam-6341	143	85	>	>	X
ejpam-6341	143	86	0	0	NUM
ejpam-6341	143	87	b	b	X
ejpam-6341	143	88	>	>	X
ejpam-6341	143	89	0	0	NUM
ejpam-6341	144	1	8	8	NUM
ejpam-6341	144	2	0	0	NUM
ejpam-6341	144	3	b	b	X
ejpam-6341	144	4	>	>	X
ejpam-6341	144	5	0	0	NUM
ejpam-6341	144	6	9	9	NUM
ejpam-6341	144	7	0	0	NUM
ejpam-6341	144	8	b	b	X
ejpam-6341	144	9	>	>	X
ejpam-6341	144	10	0	0	NUM
ejpam-6341	145	1	10	10	NUM
ejpam-6341	145	2	0	0	NUM
ejpam-6341	145	3	b	b	X
ejpam-6341	145	4	>	>	X
ejpam-6341	145	5	0	0	NUM
ejpam-6341	145	6	11	11	NUM
ejpam-6341	145	7	0	0	NUM
ejpam-6341	145	8	0	0	NUM
ejpam-6341	145	9	12	12	NUM
ejpam-6341	145	10	0	0	NUM
ejpam-6341	145	11	0	0	NUM
ejpam-6341	145	12	13	13	NUM
ejpam-6341	145	13	0	0	NUM
ejpam-6341	145	14	0	0	NUM
ejpam-6341	145	15	14	14	NUM
ejpam-6341	145	16	0	0	NUM
ejpam-6341	145	17	0	0	NUM
ejpam-6341	145	18	15	15	NUM
ejpam-6341	145	19	0	0	NUM
ejpam-6341	145	20	0	0	NUM
ejpam-6341	145	21	16	16	NUM
ejpam-6341	145	22	0	0	NUM
ejpam-6341	145	23	0	0	NUM
ejpam-6341	145	24	figure	figure	NOUN
ejpam-6341	145	25	3	3	NUM
ejpam-6341	145	26	:	:	PUNCT
ejpam-6341	145	27	the	the	DET
ejpam-6341	145	28	bifurcations	bifurcation	NOUN
ejpam-6341	145	29	of	of	ADP
ejpam-6341	145	30	invariant	invariant	ADJ
ejpam-6341	145	31	liouville	liouville	PROPN
ejpam-6341	145	32	tori	tori	NOUN
ejpam-6341	145	33	are	be	AUX
ejpam-6341	145	34	linked	link	VERB
ejpam-6341	145	35	to	to	ADP
ejpam-6341	145	36	the	the	DET
ejpam-6341	145	37	bifurcations	bifurcation	NOUN
ejpam-6341	145	38	of	of	ADP
ejpam-6341	145	39	the	the	DET
ejpam-6341	145	40	polynomial	polynomial	ADJ
ejpam-6341	145	41	roots	root	NOUN
ejpam-6341	145	42	ϕ(q1	ϕ(q1	NOUN
ejpam-6341	145	43	)	)	PUNCT
ejpam-6341	145	44	and	and	CCONJ
ejpam-6341	145	45	ϕ(q2	ϕ(q2	NOUN
ejpam-6341	145	46	)	)	PUNCT
ejpam-6341	145	47	.	.	PUNCT
ejpam-6341	146	1	2.2	2.2	NUM
ejpam-6341	146	2	.	.	PUNCT
ejpam-6341	146	3	periodic	periodic	ADJ
ejpam-6341	146	4	solution	solution	NOUN
ejpam-6341	146	5	according	accord	VERB
ejpam-6341	146	6	to	to	ADP
ejpam-6341	146	7	the	the	DET
ejpam-6341	146	8	preceding	precede	VERB
ejpam-6341	146	9	section	section	NOUN
ejpam-6341	146	10	,	,	PUNCT
ejpam-6341	146	11	we	we	PRON
ejpam-6341	146	12	have	have	VERB
ejpam-6341	146	13	ps	ps	NOUN
ejpam-6341	146	14	on	on	ADP
ejpam-6341	146	15	the	the	DET
ejpam-6341	146	16	specified	specify	VERB
ejpam-6341	146	17	curve	curve	NOUN
ejpam-6341	146	18	denoted	denote	VERB
ejpam-6341	146	19	by	by	ADP
ejpam-6341	146	20	c1	c1	PROPN
ejpam-6341	146	21	where	where	SCONJ
ejpam-6341	146	22	3(h	3(h	NUM
ejpam-6341	146	23	+	+	CCONJ
ejpam-6341	146	24	α	α	X
ejpam-6341	146	25	)	)	PUNCT
ejpam-6341	146	26	=	=	SYM
ejpam-6341	146	27	−1	−1	NOUN
ejpam-6341	146	28	.	.	PUNCT
ejpam-6341	147	1	this	this	DET
ejpam-6341	147	2	observation	observation	NOUN
ejpam-6341	147	3	is	be	AUX
ejpam-6341	147	4	supported	support	VERB
ejpam-6341	147	5	by	by	ADP
ejpam-6341	147	6	the	the	DET
ejpam-6341	147	7	data	datum	NOUN
ejpam-6341	147	8	presented	present	VERB
ejpam-6341	147	9	in	in	ADP
ejpam-6341	147	10	table	table	NOUN
ejpam-6341	147	11	4	4	NUM
ejpam-6341	147	12	,	,	PUNCT
ejpam-6341	147	13	where	where	SCONJ
ejpam-6341	147	14	the	the	DET
ejpam-6341	147	15	q1	q1	PROPN
ejpam-6341	147	16	parameter	parameter	NOUN
ejpam-6341	147	17	taking	taking	NOUN
ejpam-6341	147	18	value	value	NOUN
ejpam-6341	147	19	in	in	ADP
ejpam-6341	147	20	interval	interval	NOUN
ejpam-6341	147	21	[	[	X
ejpam-6341	147	22	0	0	NUM
ejpam-6341	147	23	,	,	PUNCT
ejpam-6341	147	24	a	a	PRON
ejpam-6341	147	25	]	]	X
ejpam-6341	147	26	and	and	CCONJ
ejpam-6341	147	27	q2	q2	NOUN
ejpam-6341	147	28	=	=	SYM
ejpam-6341	147	29	2	2	X
ejpam-6341	147	30	.	.	X
ejpam-6341	148	1	solving	solve	VERB
ejpam-6341	148	2	equation	equation	NOUN
ejpam-6341	148	3	(	(	PUNCT
ejpam-6341	148	4	11	11	NUM
ejpam-6341	148	5	)	)	PUNCT
ejpam-6341	148	6	,	,	PUNCT
ejpam-6341	148	7	the	the	DET
ejpam-6341	148	8	function	function	NOUN
ejpam-6341	148	9	ϕ(z	ϕ(z	PROPN
ejpam-6341	148	10	)	)	PUNCT
ejpam-6341	148	11	is	be	AUX
ejpam-6341	148	12	a	a	DET
ejpam-6341	148	13	third	third	ADJ
ejpam-6341	148	14	-	-	PUNCT
ejpam-6341	148	15	degree	degree	NOUN
ejpam-6341	148	16	polynomial	polynomial	NOUN
ejpam-6341	148	17	that	that	PRON
ejpam-6341	148	18	has	have	VERB
ejpam-6341	148	19	a	a	DET
ejpam-6341	148	20	real	real	ADJ
ejpam-6341	148	21	root	root	NOUN
ejpam-6341	148	22	a	a	DET
ejpam-6341	148	23	and	and	CCONJ
ejpam-6341	148	24	two	two	NUM
ejpam-6341	148	25	roots	root	NOUN
ejpam-6341	148	26	d	d	NOUN
ejpam-6341	148	27	and	and	CCONJ
ejpam-6341	148	28	d̄	d̄	NOUN
ejpam-6341	148	29	which	which	PRON
ejpam-6341	148	30	are	be	AUX
ejpam-6341	148	31	complex	complex	ADJ
ejpam-6341	148	32	ϕ(z	ϕ(z	NOUN
ejpam-6341	148	33	)	)	PUNCT
ejpam-6341	149	1	=	=	PUNCT
ejpam-6341	149	2	−z3	−z3	PROPN
ejpam-6341	149	3	3	3	NUM
ejpam-6341	150	1	+	+	CCONJ
ejpam-6341	150	2	cz	cz	NOUN
ejpam-6341	150	3	+	+	CCONJ
ejpam-6341	150	4	n	n	NOUN
ejpam-6341	150	5	=	=	SYM
ejpam-6341	150	6	(	(	PUNCT
ejpam-6341	150	7	a−	a−	PROPN
ejpam-6341	150	8	z)(z	z)(z	NOUN
ejpam-6341	150	9	−	−	ADP
ejpam-6341	151	1	d)(z	d)(z	NOUN
ejpam-6341	151	2	−	−	PROPN
ejpam-6341	151	3	d̄	d̄	NOUN
ejpam-6341	151	4	)	)	PUNCT
ejpam-6341	151	5	,	,	PUNCT
ejpam-6341	151	6	(	(	PUNCT
ejpam-6341	151	7	13	13	NUM
ejpam-6341	151	8	)	)	PUNCT
ejpam-6341	151	9	and	and	CCONJ
ejpam-6341	151	10	,	,	PUNCT
ejpam-6341	151	11	n	n	PROPN
ejpam-6341	151	12	=	=	SYM
ejpam-6341	151	13	2(α−	2(α−	NUM
ejpam-6341	151	14	h	h	NOUN
ejpam-6341	151	15	)	)	PUNCT
ejpam-6341	151	16	.	.	PUNCT
ejpam-6341	152	1	using	use	VERB
ejpam-6341	152	2	the	the	DET
ejpam-6341	152	3	following	follow	VERB
ejpam-6341	152	4	relations	relation	NOUN
ejpam-6341	152	5	(	(	PUNCT
ejpam-6341	152	6	z	z	NOUN
ejpam-6341	152	7	−	−	NOUN
ejpam-6341	152	8	d)(z	d)(z	NOUN
ejpam-6341	152	9	−	−	PROPN
ejpam-6341	152	10	d̄	d̄	NOUN
ejpam-6341	152	11	)	)	PUNCT
ejpam-6341	152	12	=	=	PUNCT
ejpam-6341	152	13	(	(	PUNCT
ejpam-6341	152	14	x−	x−	PROPN
ejpam-6341	152	15	d1	d1	PROPN
ejpam-6341	152	16	)	)	PUNCT
ejpam-6341	153	1	2	2	NUM
ejpam-6341	153	2	+	+	SYM
ejpam-6341	153	3	a21	a21	NOUN
ejpam-6341	153	4	,	,	PUNCT
ejpam-6341	153	5	(	(	PUNCT
ejpam-6341	153	6	14	14	NUM
ejpam-6341	153	7	)	)	PUNCT
ejpam-6341	153	8	t.	t.	PROPN
ejpam-6341	153	9	s.	s.	PROPN
ejpam-6341	153	10	amer	amer	PROPN
ejpam-6341	153	11	et	et	PROPN
ejpam-6341	153	12	al	al	PROPN
ejpam-6341	153	13	.	.	PUNCT
ejpam-6341	153	14	/	/	SYM
ejpam-6341	153	15	eur	eur	PROPN
ejpam-6341	153	16	.	.	PUNCT
ejpam-6341	154	1	j.	j.	PROPN
ejpam-6341	154	2	pure	pure	PROPN
ejpam-6341	154	3	appl	appl	PROPN
ejpam-6341	154	4	.	.	PROPN
ejpam-6341	154	5	math	math	PROPN
ejpam-6341	154	6	,	,	PUNCT
ejpam-6341	154	7	18	18	NUM
ejpam-6341	154	8	(	(	PUNCT
ejpam-6341	154	9	3	3	NUM
ejpam-6341	154	10	)	)	PUNCT
ejpam-6341	154	11	(	(	PUNCT
ejpam-6341	154	12	2025	2025	NUM
ejpam-6341	154	13	)	)	PUNCT
ejpam-6341	154	14	,	,	PUNCT
ejpam-6341	154	15	6341	6341	NUM
ejpam-6341	154	16	9	9	NUM
ejpam-6341	154	17	of	of	ADP
ejpam-6341	154	18	22	22	NUM
ejpam-6341	154	19	table	table	NOUN
ejpam-6341	154	20	2	2	NUM
ejpam-6341	154	21	:	:	PUNCT
ejpam-6341	154	22	allowable	allowable	ADJ
ejpam-6341	154	23	ovals	oval	NOUN
ejpam-6341	154	24	on	on	ADP
ejpam-6341	154	25	diagram	diagram	PROPN
ejpam-6341	154	26	d.	d.	PROPN
ejpam-6341	154	27	domain	domain	PROPN
ejpam-6341	154	28	q1	q1	PROPN
ejpam-6341	154	29	−	−	PROPN
ejpam-6341	154	30	plane∆1	plane∆1	PROPN
ejpam-6341	154	31	q2	q2	NOUN
ejpam-6341	154	32	−	−	PROPN
ejpam-6341	155	1	plane∆2	plane∆2	PROPN
ejpam-6341	155	2	topological	topological	ADJ
ejpam-6341	155	3	type	type	NOUN
ejpam-6341	155	4	1	1	NUM
ejpam-6341	155	5	∅	∅	NOUN
ejpam-6341	155	6	∅	∅	NOUN
ejpam-6341	155	7	∅	∅	NOUN
ejpam-6341	155	8	2	2	NUM
ejpam-6341	155	9	[	[	X
ejpam-6341	155	10	0	0	NUM
ejpam-6341	155	11	,	,	PUNCT
ejpam-6341	155	12	a	a	DET
ejpam-6341	155	13	]	]	PUNCT
ejpam-6341	155	14	∅	∅	NOUN
ejpam-6341	155	15	∅	∅	NOUN
ejpam-6341	155	16	3	3	NUM
ejpam-6341	155	17	[	[	X
ejpam-6341	155	18	0	0	NUM
ejpam-6341	155	19	,	,	PUNCT
ejpam-6341	155	20	a	a	DET
ejpam-6341	155	21	]	]	PUNCT
ejpam-6341	155	22	∅	∅	NOUN
ejpam-6341	155	23	∅	∅	NOUN
ejpam-6341	155	24	4	4	NUM
ejpam-6341	155	25	[	[	X
ejpam-6341	155	26	0	0	NUM
ejpam-6341	155	27	,	,	PUNCT
ejpam-6341	155	28	a	a	DET
ejpam-6341	155	29	]	]	PUNCT
ejpam-6341	155	30	∅	∅	NOUN
ejpam-6341	155	31	∅	∅	NOUN
ejpam-6341	155	32	5	5	NUM
ejpam-6341	155	33	[	[	X
ejpam-6341	155	34	0	0	NUM
ejpam-6341	155	35	,	,	PUNCT
ejpam-6341	155	36	a	a	DET
ejpam-6341	155	37	]	]	PUNCT
ejpam-6341	155	38	∅	∅	NOUN
ejpam-6341	155	39	∅	∅	NOUN
ejpam-6341	155	40	6	6	NUM
ejpam-6341	155	41	[	[	X
ejpam-6341	155	42	0	0	NUM
ejpam-6341	155	43	,	,	PUNCT
ejpam-6341	155	44	a	a	PRON
ejpam-6341	155	45	]	]	X
ejpam-6341	156	1	[	[	X
ejpam-6341	156	2	0	0	NUM
ejpam-6341	156	3	,	,	PUNCT
ejpam-6341	156	4	b	b	NOUN
ejpam-6341	156	5	]	]	X
ejpam-6341	156	6	t	t	NOUN
ejpam-6341	156	7	7	7	NUM
ejpam-6341	157	1	[	[	X
ejpam-6341	157	2	0	0	NUM
ejpam-6341	157	3	,	,	PUNCT
ejpam-6341	157	4	a	a	PRON
ejpam-6341	157	5	]	]	X
ejpam-6341	157	6	[	[	X
ejpam-6341	157	7	0	0	NUM
ejpam-6341	157	8	,	,	PUNCT
ejpam-6341	157	9	b	b	NOUN
ejpam-6341	157	10	]	]	X
ejpam-6341	157	11	t	t	NOUN
ejpam-6341	157	12	8	8	NUM
ejpam-6341	157	13	∅	∅	NOUN
ejpam-6341	157	14	[	[	X
ejpam-6341	157	15	0	0	NUM
ejpam-6341	157	16	,	,	PUNCT
ejpam-6341	157	17	b	b	NOUN
ejpam-6341	157	18	]	]	PUNCT
ejpam-6341	157	19	∅	∅	NOUN
ejpam-6341	157	20	9	9	NUM
ejpam-6341	157	21	∅	∅	NOUN
ejpam-6341	157	22	[	[	X
ejpam-6341	157	23	0	0	NUM
ejpam-6341	157	24	,	,	PUNCT
ejpam-6341	157	25	b	b	NOUN
ejpam-6341	157	26	]	]	PUNCT
ejpam-6341	157	27	∅	∅	NOUN
ejpam-6341	157	28	10	10	NUM
ejpam-6341	157	29	∅	∅	NOUN
ejpam-6341	157	30	[	[	X
ejpam-6341	157	31	0	0	NUM
ejpam-6341	157	32	,	,	PUNCT
ejpam-6341	157	33	b	b	NOUN
ejpam-6341	157	34	]	]	PUNCT
ejpam-6341	157	35	∅	∅	NOUN
ejpam-6341	157	36	11	11	NUM
ejpam-6341	157	37	∅	∅	NOUN
ejpam-6341	157	38	∅	∅	NOUN
ejpam-6341	157	39	∅	∅	NOUN
ejpam-6341	157	40	12	12	NUM
ejpam-6341	157	41	∅	∅	NOUN
ejpam-6341	157	42	∅	∅	NOUN
ejpam-6341	157	43	∅	∅	NOUN
ejpam-6341	157	44	13	13	NUM
ejpam-6341	157	45	∅	∅	NOUN
ejpam-6341	157	46	∅	∅	NOUN
ejpam-6341	157	47	∅	∅	NOUN
ejpam-6341	157	48	14	14	NUM
ejpam-6341	157	49	∅	∅	NOUN
ejpam-6341	157	50	∅	∅	NOUN
ejpam-6341	157	51	∅	∅	NOUN
ejpam-6341	157	52	15	15	NUM
ejpam-6341	157	53	∅	∅	NOUN
ejpam-6341	157	54	∅	∅	NOUN
ejpam-6341	157	55	∅	∅	NOUN
ejpam-6341	157	56	16	16	NUM
ejpam-6341	157	57	∅	∅	NOUN
ejpam-6341	157	58	∅	∅	NOUN
ejpam-6341	157	59	∅	∅	NOUN
ejpam-6341	157	60	table	table	NOUN
ejpam-6341	157	61	3	3	NUM
ejpam-6341	157	62	:	:	PUNCT
ejpam-6341	157	63	the	the	DET
ejpam-6341	157	64	generic	generic	ADJ
ejpam-6341	157	65	bifurcations	bifurcation	NOUN
ejpam-6341	157	66	of	of	ADP
ejpam-6341	157	67	ls	ls	PROPN
ejpam-6341	157	68	between	between	ADP
ejpam-6341	157	69	domains	domain	NOUN
ejpam-6341	157	70	i	i	PRON
ejpam-6341	157	71	and	and	CCONJ
ejpam-6341	157	72	ℓ	ℓ	PRON
ejpam-6341	157	73	,	,	PUNCT
ejpam-6341	157	74	where	where	SCONJ
ejpam-6341	157	75	i	i	PRON
ejpam-6341	157	76	=	=	SYM
ejpam-6341	157	77	6	6	NUM
ejpam-6341	157	78	,	,	PUNCT
ejpam-6341	157	79	7	7	NUM
ejpam-6341	157	80	and	and	CCONJ
ejpam-6341	157	81	ℓ	ℓ	X
ejpam-6341	157	82	=	=	PUNCT
ejpam-6341	157	83	(	(	PUNCT
ejpam-6341	157	84	1	1	NUM
ejpam-6341	157	85	:	:	SYM
ejpam-6341	157	86	5	5	NUM
ejpam-6341	157	87	,	,	PUNCT
ejpam-6341	157	88	8	8	NUM
ejpam-6341	157	89	:	:	SYM
ejpam-6341	157	90	16	16	NUM
ejpam-6341	157	91	)	)	PUNCT
ejpam-6341	157	92	.	.	PUNCT
ejpam-6341	158	1	6	6	NUM
ejpam-6341	158	2	→	→	SYM
ejpam-6341	158	3	7	7	NUM
ejpam-6341	158	4	6	6	NUM
ejpam-6341	158	5	→	→	SYM
ejpam-6341	158	6	ℓ	ℓ	NOUN
ejpam-6341	158	7	7	7	NUM
ejpam-6341	158	8	→	→	SYM
ejpam-6341	158	9	ℓ	ℓ	PROPN
ejpam-6341	158	10	t	t	PROPN
ejpam-6341	158	11	→	→	SYM
ejpam-6341	158	12	t	t	PROPN
ejpam-6341	158	13	t	t	PROPN
ejpam-6341	158	14	→	→	PUNCT
ejpam-6341	158	15	∅	∅	NOUN
ejpam-6341	158	16	t	t	NOUN
ejpam-6341	158	17	→	→	PUNCT
ejpam-6341	158	18	∅	∅	NOUN
ejpam-6341	158	19	where	where	SCONJ
ejpam-6341	158	20	d1	d1	NOUN
ejpam-6341	158	21	=	=	PUNCT
ejpam-6341	158	22	d+	d+	X
ejpam-6341	158	23	d̄	d̄	PROPN
ejpam-6341	158	24	2	2	NUM
ejpam-6341	158	25	,	,	PUNCT
ejpam-6341	158	26	a21	a21	NOUN
ejpam-6341	158	27	=	=	PROPN
ejpam-6341	158	28	−(d−	−(d−	PROPN
ejpam-6341	158	29	d̄)2	d̄)2	PROPN
ejpam-6341	158	30	4	4	NUM
ejpam-6341	158	31	,	,	PUNCT
ejpam-6341	158	32	(	(	PUNCT
ejpam-6341	158	33	d1	d1	NOUN
ejpam-6341	158	34	−	−	NOUN
ejpam-6341	158	35	a)2	a)2	PROPN
ejpam-6341	158	36	+	+	CCONJ
ejpam-6341	158	37	a21	a21	NOUN
ejpam-6341	158	38	=	=	SYM
ejpam-6341	158	39	a2	a2	PROPN
ejpam-6341	158	40	.	.	PUNCT
ejpam-6341	159	1	then	then	ADV
ejpam-6341	159	2	,	,	PUNCT
ejpam-6341	159	3	ϕ(z	ϕ(z	PROPN
ejpam-6341	159	4	)	)	PUNCT
ejpam-6341	159	5	can	can	AUX
ejpam-6341	159	6	be	be	AUX
ejpam-6341	159	7	rewritten	rewrite	VERB
ejpam-6341	159	8	as	as	ADP
ejpam-6341	159	9	ϕ(z	ϕ(z	NOUN
ejpam-6341	159	10	)	)	PUNCT
ejpam-6341	160	1	=	=	PUNCT
ejpam-6341	160	2	(	(	PUNCT
ejpam-6341	160	3	a−	a−	PROPN
ejpam-6341	160	4	z	z	PROPN
ejpam-6341	160	5	)	)	PUNCT
ejpam-6341	160	6	(	(	PUNCT
ejpam-6341	160	7	(	(	PUNCT
ejpam-6341	160	8	z	z	NOUN
ejpam-6341	160	9	−	−	NOUN
ejpam-6341	160	10	d1	d1	NOUN
ejpam-6341	160	11	)	)	PUNCT
ejpam-6341	160	12	2	2	NUM
ejpam-6341	160	13	+	+	NUM
ejpam-6341	160	14	a21	a21	NOUN
ejpam-6341	160	15	)	)	PUNCT
ejpam-6341	160	16	.	.	PUNCT
ejpam-6341	161	1	(	(	PUNCT
ejpam-6341	161	2	15	15	X
ejpam-6341	161	3	)	)	PUNCT
ejpam-6341	161	4	taking	take	VERB
ejpam-6341	161	5	into	into	ADP
ejpam-6341	161	6	account	account	NOUN
ejpam-6341	161	7	that	that	SCONJ
ejpam-6341	161	8	we	we	PRON
ejpam-6341	161	9	can	can	AUX
ejpam-6341	161	10	consider	consider	VERB
ejpam-6341	161	11	that	that	PRON
ejpam-6341	161	12	z	z	NOUN
ejpam-6341	161	13	=	=	PUNCT
ejpam-6341	161	14	a−a	a−a	PROPN
ejpam-6341	161	15	1	1	NUM
ejpam-6341	161	16	+	+	NUM
ejpam-6341	161	17	cosφ	cosφ	NOUN
ejpam-6341	161	18	1−	1−	NUM
ejpam-6341	161	19	cosφ	cosφ	NOUN
ejpam-6341	161	20	;	;	PUNCT
ejpam-6341	162	1	−∞	−∞	PUNCT
ejpam-6341	162	2	<	<	X
ejpam-6341	162	3	z	z	PROPN
ejpam-6341	162	4	≤	≤	NUM
ejpam-6341	162	5	a.	a.	NOUN
ejpam-6341	162	6	(	(	PUNCT
ejpam-6341	162	7	16	16	NUM
ejpam-6341	162	8	)	)	PUNCT
ejpam-6341	162	9	referring	refer	VERB
ejpam-6341	162	10	to	to	ADP
ejpam-6341	162	11	equations	equation	NOUN
ejpam-6341	162	12	(	(	PUNCT
ejpam-6341	162	13	15	15	NUM
ejpam-6341	162	14	)	)	PUNCT
ejpam-6341	162	15	and	and	CCONJ
ejpam-6341	162	16	(	(	PUNCT
ejpam-6341	162	17	16	16	NUM
ejpam-6341	162	18	)	)	PUNCT
ejpam-6341	162	19	,	,	PUNCT
ejpam-6341	162	20	then	then	ADV
ejpam-6341	162	21	equation	equation	NOUN
ejpam-6341	162	22	(	(	PUNCT
ejpam-6341	162	23	11	11	NUM
ejpam-6341	162	24	)	)	PUNCT
ejpam-6341	162	25	becomes∫	becomes∫	VERB
ejpam-6341	162	26	φ	φ	PROPN
ejpam-6341	162	27	0	0	NUM
ejpam-6341	162	28	dφ√	dφ√	PROPN
ejpam-6341	162	29	1−	1−	NUM
ejpam-6341	162	30	k21	k21	PROPN
ejpam-6341	162	31	sin	sin	NOUN
ejpam-6341	162	32	2	2	NUM
ejpam-6341	162	33	φ	φ	NOUN
ejpam-6341	162	34	=	=	SYM
ejpam-6341	162	35	√	√	PROPN
ejpam-6341	162	36	a(t−	a(t−	PROPN
ejpam-6341	162	37	t0	t0	PROPN
ejpam-6341	162	38	)	)	PUNCT
ejpam-6341	162	39	.	.	PUNCT
ejpam-6341	163	1	(	(	PUNCT
ejpam-6341	163	2	17	17	NUM
ejpam-6341	163	3	)	)	PUNCT
ejpam-6341	163	4	table	table	NOUN
ejpam-6341	163	5	4	4	NUM
ejpam-6341	163	6	:	:	PUNCT
ejpam-6341	163	7	the	the	DET
ejpam-6341	163	8	topological	topological	ADJ
ejpam-6341	163	9	type	type	NOUN
ejpam-6341	163	10	of	of	ADP
ejpam-6341	163	11	ls	ls	PROPN
ejpam-6341	163	12	on	on	ADP
ejpam-6341	163	13	diagram	diagram	NOUN
ejpam-6341	164	1	d	d	PROPN
ejpam-6341	164	2	corresponds	correspond	VERB
ejpam-6341	164	3	to	to	ADP
ejpam-6341	164	4	the	the	DET
ejpam-6341	164	5	two	two	NUM
ejpam-6341	164	6	no	no	DET
ejpam-6341	164	7	-	-	PUNCT
ejpam-6341	164	8	coplanar	coplanar	NOUN
ejpam-6341	164	9	circles	circle	NOUN
ejpam-6341	164	10	,	,	PUNCT
ejpam-6341	164	11	denoted	denote	VERB
ejpam-6341	164	12	as	as	ADP
ejpam-6341	164	13	(	(	PUNCT
ejpam-6341	164	14	s	s	PROPN
ejpam-6341	164	15	∧	∧	PROPN
ejpam-6341	164	16	s	s	NOUN
ejpam-6341	164	17	)	)	PUNCT
ejpam-6341	164	18	,	,	PUNCT
ejpam-6341	164	19	which	which	PRON
ejpam-6341	164	20	intersect	intersect	VERB
ejpam-6341	164	21	at	at	ADP
ejpam-6341	164	22	a	a	DET
ejpam-6341	164	23	single	single	ADJ
ejpam-6341	164	24	shared	share	VERB
ejpam-6341	164	25	point	point	NOUN
ejpam-6341	164	26	.	.	PUNCT
ejpam-6341	165	1	curve	curve	NOUN
ejpam-6341	165	2	∆1	∆1	PROPN
ejpam-6341	165	3	∆2	∆2	NOUN
ejpam-6341	165	4	ls	ls	PROPN
ejpam-6341	166	1	=	=	X
ejpam-6341	166	2	∆1	∆1	PROPN
ejpam-6341	166	3	×∆2	×∆2	PROPN
ejpam-6341	166	4	c1	c1	NOUN
ejpam-6341	166	5	[	[	X
ejpam-6341	166	6	0	0	NUM
ejpam-6341	166	7	,	,	PUNCT
ejpam-6341	166	8	a	a	PRON
ejpam-6341	166	9	]	]	X
ejpam-6341	167	1	[	[	X
ejpam-6341	167	2	0	0	NUM
ejpam-6341	167	3	,	,	PUNCT
ejpam-6341	167	4	b	b	NOUN
ejpam-6341	167	5	]	]	X
ejpam-6341	167	6	s	s	X
ejpam-6341	167	7	c2	c2	PROPN
ejpam-6341	167	8	[	[	X
ejpam-6341	167	9	0	0	NUM
ejpam-6341	167	10	,	,	PUNCT
ejpam-6341	167	11	a	a	PRON
ejpam-6341	167	12	]	]	X
ejpam-6341	168	1	[	[	X
ejpam-6341	168	2	0	0	NUM
ejpam-6341	168	3	,	,	PUNCT
ejpam-6341	168	4	b	b	NOUN
ejpam-6341	168	5	]	]	X
ejpam-6341	168	6	s	s	X
ejpam-6341	168	7	×	×	NOUN
ejpam-6341	168	8	(	(	PUNCT
ejpam-6341	168	9	s	s	PROPN
ejpam-6341	168	10	∧	∧	PROPN
ejpam-6341	168	11	s	s	PART
ejpam-6341	168	12	)	)	PUNCT
ejpam-6341	168	13	t.	t.	PROPN
ejpam-6341	168	14	s.	s.	PROPN
ejpam-6341	168	15	amer	amer	PROPN
ejpam-6341	168	16	et	et	PROPN
ejpam-6341	168	17	al	al	PROPN
ejpam-6341	168	18	.	.	PUNCT
ejpam-6341	168	19	/	/	SYM
ejpam-6341	168	20	eur	eur	PROPN
ejpam-6341	168	21	.	.	PUNCT
ejpam-6341	169	1	j.	j.	PROPN
ejpam-6341	169	2	pure	pure	PROPN
ejpam-6341	169	3	appl	appl	PROPN
ejpam-6341	169	4	.	.	PROPN
ejpam-6341	169	5	math	math	PROPN
ejpam-6341	169	6	,	,	PUNCT
ejpam-6341	169	7	18	18	NUM
ejpam-6341	169	8	(	(	PUNCT
ejpam-6341	169	9	3	3	NUM
ejpam-6341	169	10	)	)	PUNCT
ejpam-6341	169	11	(	(	PUNCT
ejpam-6341	169	12	2025	2025	NUM
ejpam-6341	169	13	)	)	PUNCT
ejpam-6341	169	14	,	,	PUNCT
ejpam-6341	169	15	6341	6341	NUM
ejpam-6341	169	16	10	10	NUM
ejpam-6341	169	17	of	of	ADP
ejpam-6341	169	18	22	22	NUM
ejpam-6341	169	19	therefore	therefore	ADV
ejpam-6341	169	20	,	,	PUNCT
ejpam-6341	169	21	equation	equation	NOUN
ejpam-6341	169	22	(	(	PUNCT
ejpam-6341	169	23	11	11	NUM
ejpam-6341	169	24	)	)	PUNCT
ejpam-6341	169	25	has	have	VERB
ejpam-6341	169	26	the	the	DET
ejpam-6341	169	27	following	follow	VERB
ejpam-6341	169	28	solution	solution	NOUN
ejpam-6341	169	29	z	z	NOUN
ejpam-6341	169	30	=	=	SYM
ejpam-6341	169	31	a−a	a−a	PROPN
ejpam-6341	169	32	1	1	NUM
ejpam-6341	169	33	+	+	CCONJ
ejpam-6341	169	34	cn	cn	ADJ
ejpam-6341	169	35	[	[	PUNCT
ejpam-6341	169	36	√	√	ADJ
ejpam-6341	169	37	a(t−	a(t−	PROPN
ejpam-6341	169	38	t0	t0	PROPN
ejpam-6341	169	39	)	)	PUNCT
ejpam-6341	169	40	,	,	PUNCT
ejpam-6341	169	41	k1	k1	X
ejpam-6341	169	42	]	]	PUNCT
ejpam-6341	169	43	1−	1−	NUM
ejpam-6341	170	1	cn	cn	X
ejpam-6341	170	2	[	[	PUNCT
ejpam-6341	170	3	√	√	PROPN
ejpam-6341	170	4	a(t−	a(t−	PROPN
ejpam-6341	170	5	t0	t0	PROPN
ejpam-6341	170	6	)	)	PUNCT
ejpam-6341	170	7	,	,	PUNCT
ejpam-6341	170	8	k1	k1	PROPN
ejpam-6341	170	9	]	]	PUNCT
ejpam-6341	170	10	,	,	PUNCT
ejpam-6341	170	11	(	(	PUNCT
ejpam-6341	170	12	18	18	NUM
ejpam-6341	170	13	)	)	PUNCT
ejpam-6341	170	14	where	where	SCONJ
ejpam-6341	170	15	cosφ	cosφ	NOUN
ejpam-6341	170	16	=	=	SYM
ejpam-6341	170	17	cn	cn	PROPN
ejpam-6341	170	18	(	(	PUNCT
ejpam-6341	170	19	√	√	PROPN
ejpam-6341	170	20	a(t−	a(t−	PROPN
ejpam-6341	170	21	t0	t0	PROPN
ejpam-6341	170	22	)	)	PUNCT
ejpam-6341	170	23	)	)	PUNCT
ejpam-6341	170	24	,	,	PUNCT
ejpam-6341	170	25	with	with	ADP
ejpam-6341	170	26	the	the	DET
ejpam-6341	170	27	period	period	NOUN
ejpam-6341	170	28	t	t	PROPN
ejpam-6341	170	29	t	t	NOUN
ejpam-6341	170	30	=	=	SYM
ejpam-6341	170	31	1√	1√	PROPN
ejpam-6341	170	32	a	a	DET
ejpam-6341	170	33	sn−1(1	sn−1(1	ADJ
ejpam-6341	170	34	,	,	PUNCT
ejpam-6341	170	35	k1	k1	NOUN
ejpam-6341	170	36	)	)	PUNCT
ejpam-6341	170	37	=	=	SYM
ejpam-6341	171	1	1√	1√	ADJ
ejpam-6341	171	2	a	a	DET
ejpam-6341	171	3	k(k1	k(k1	NOUN
ejpam-6341	171	4	)	)	PUNCT
ejpam-6341	171	5	,	,	PUNCT
ejpam-6341	171	6	k(k1	k(k1	PROPN
ejpam-6341	171	7	)	)	PUNCT
ejpam-6341	171	8	=	=	SYM
ejpam-6341	171	9	∫	∫	PROPN
ejpam-6341	171	10	π/2	π/2	PROPN
ejpam-6341	171	11	0	0	NUM
ejpam-6341	172	1	dφ√	dφ√	PROPN
ejpam-6341	172	2	1−	1−	NUM
ejpam-6341	172	3	k21	k21	PROPN
ejpam-6341	172	4	sin	sin	NOUN
ejpam-6341	172	5	2	2	NUM
ejpam-6341	172	6	φ	φ	NOUN
ejpam-6341	172	7	,	,	PUNCT
ejpam-6341	172	8	where	where	SCONJ
ejpam-6341	172	9	k(k1	k(k1	NOUN
ejpam-6341	172	10	)	)	PUNCT
ejpam-6341	172	11	denotes	denote	VERB
ejpam-6341	172	12	the	the	DET
ejpam-6341	172	13	complete	complete	ADJ
ejpam-6341	172	14	elliptic	elliptic	ADJ
ejpam-6341	172	15	integral	integral	NOUN
ejpam-6341	172	16	of	of	ADP
ejpam-6341	172	17	the	the	DET
ejpam-6341	172	18	first	first	ADJ
ejpam-6341	172	19	kind	kind	NOUN
ejpam-6341	172	20	.	.	PUNCT
ejpam-6341	173	1	2.3	2.3	NUM
ejpam-6341	173	2	.	.	PUNCT
ejpam-6341	174	1	the	the	DET
ejpam-6341	174	2	phase	phase	NOUN
ejpam-6341	174	3	portrait	portrait	NOUN
ejpam-6341	174	4	after	after	ADP
ejpam-6341	174	5	separation	separation	NOUN
ejpam-6341	174	6	the	the	DET
ejpam-6341	174	7	phase	phase	NOUN
ejpam-6341	174	8	portrait	portrait	NOUN
ejpam-6341	174	9	is	be	AUX
ejpam-6341	174	10	a	a	DET
ejpam-6341	174	11	successful	successful	ADJ
ejpam-6341	174	12	tool	tool	NOUN
ejpam-6341	174	13	to	to	PART
ejpam-6341	174	14	get	get	VERB
ejpam-6341	174	15	the	the	DET
ejpam-6341	174	16	type	type	NOUN
ejpam-6341	174	17	of	of	ADP
ejpam-6341	174	18	singularity	singularity	NOUN
ejpam-6341	174	19	for	for	ADP
ejpam-6341	174	20	separated	separate	VERB
ejpam-6341	174	21	functions	function	NOUN
ejpam-6341	174	22	.	.	PUNCT
ejpam-6341	175	1	the	the	DET
ejpam-6341	175	2	singularity	singularity	NOUN
ejpam-6341	175	3	of	of	ADP
ejpam-6341	175	4	the	the	DET
ejpam-6341	175	5	rotation	rotation	NOUN
ejpam-6341	175	6	of	of	ADP
ejpam-6341	175	7	a	a	DET
ejpam-6341	175	8	rb	rb	NOUN
ejpam-6341	175	9	revolving	revolve	VERB
ejpam-6341	175	10	around	around	ADP
ejpam-6341	175	11	a	a	DET
ejpam-6341	175	12	fixed	fix	VERB
ejpam-6341	175	13	point	point	NOUN
ejpam-6341	175	14	in	in	ADP
ejpam-6341	175	15	the	the	DET
ejpam-6341	175	16	kovalevskaya	kovalevskaya	NOUN
ejpam-6341	175	17	case	case	NOUN
ejpam-6341	175	18	is	be	AUX
ejpam-6341	175	19	studied	study	VERB
ejpam-6341	175	20	in	in	ADP
ejpam-6341	175	21	[	[	X
ejpam-6341	175	22	40	40	NUM
ejpam-6341	175	23	]	]	PUNCT
ejpam-6341	175	24	,	,	PUNCT
ejpam-6341	175	25	while	while	SCONJ
ejpam-6341	175	26	in	in	ADP
ejpam-6341	175	27	[	[	NOUN
ejpam-6341	175	28	41	41	NUM
ejpam-6341	175	29	]	]	PUNCT
ejpam-6341	175	30	the	the	DET
ejpam-6341	175	31	singular	singular	PROPN
ejpam-6341	175	32	points	point	VERB
ejpam-6341	175	33	in	in	ADP
ejpam-6341	175	34	the	the	DET
ejpam-6341	175	35	problem	problem	NOUN
ejpam-6341	175	36	of	of	ADP
ejpam-6341	175	37	two	two	NUM
ejpam-6341	175	38	fixed	fix	VERB
ejpam-6341	175	39	centers	center	NOUN
ejpam-6341	175	40	are	be	AUX
ejpam-6341	175	41	classified	classified	ADJ
ejpam-6341	175	42	.	.	PUNCT
ejpam-6341	176	1	it	it	PRON
ejpam-6341	176	2	is	be	AUX
ejpam-6341	176	3	defined	define	VERB
ejpam-6341	176	4	that	that	SCONJ
ejpam-6341	176	5	the	the	DET
ejpam-6341	176	6	type	type	NOUN
ejpam-6341	176	7	of	of	ADP
ejpam-6341	176	8	singular	singular	ADJ
ejpam-6341	176	9	point	point	NOUN
ejpam-6341	176	10	is	be	AUX
ejpam-6341	176	11	elliptic	elliptic	ADJ
ejpam-6341	176	12	,	,	PUNCT
ejpam-6341	176	13	hyperbolic	hyperbolic	ADJ
ejpam-6341	176	14	,	,	PUNCT
ejpam-6341	176	15	or	or	CCONJ
ejpam-6341	176	16	parabolic	parabolic	NOUN
ejpam-6341	176	17	according	accord	VERB
ejpam-6341	176	18	to	to	ADP
ejpam-6341	176	19	the	the	DET
ejpam-6341	176	20	jacobian	jacobian	ADJ
ejpam-6341	176	21	.	.	PUNCT
ejpam-6341	177	1	we	we	PRON
ejpam-6341	177	2	consider	consider	VERB
ejpam-6341	177	3	the	the	DET
ejpam-6341	177	4	function	function	NOUN
ejpam-6341	177	5	f	f	NOUN
ejpam-6341	177	6	=	=	NOUN
ejpam-6341	177	7	p2	p2	PROPN
ejpam-6341	177	8	+	+	CCONJ
ejpam-6341	177	9	q3	q3	PROPN
ejpam-6341	177	10	6	6	NUM
ejpam-6341	177	11	−	−	NOUN
ejpam-6341	177	12	c	c	NOUN
ejpam-6341	177	13	2	2	NUM
ejpam-6341	177	14	q	q	NOUN
ejpam-6341	177	15	+	+	NUM
ejpam-6341	177	16	h−	h−	PROPN
ejpam-6341	177	17	α	α	NOUN
ejpam-6341	177	18	.	.	PUNCT
ejpam-6341	178	1	(	(	PUNCT
ejpam-6341	178	2	19	19	NUM
ejpam-6341	178	3	)	)	PUNCT
ejpam-6341	178	4	the	the	DET
ejpam-6341	178	5	singular	singular	ADJ
ejpam-6341	178	6	points	point	NOUN
ejpam-6341	178	7	have	have	AUX
ejpam-6341	178	8	been	be	AUX
ejpam-6341	178	9	obtained	obtain	VERB
ejpam-6341	178	10	from	from	ADP
ejpam-6341	178	11	the	the	DET
ejpam-6341	178	12	following	follow	VERB
ejpam-6341	178	13	equations	equation	NOUN
ejpam-6341	178	14	,	,	PUNCT
ejpam-6341	178	15	∂f	∂f	PROPN
ejpam-6341	178	16	∂p	∂p	PROPN
ejpam-6341	178	17	=	=	PUNCT
ejpam-6341	178	18	2p	2p	NUM
ejpam-6341	178	19	=	=	SYM
ejpam-6341	178	20	0	0	NUM
ejpam-6341	178	21	,	,	PUNCT
ejpam-6341	178	22	∂f	∂f	PROPN
ejpam-6341	178	23	∂q	∂q	PROPN
ejpam-6341	178	24	=	=	PUNCT
ejpam-6341	178	25	q2	q2	PROPN
ejpam-6341	178	26	2	2	NUM
ejpam-6341	179	1	−	−	NOUN
ejpam-6341	179	2	c	c	NOUN
ejpam-6341	179	3	2	2	NUM
ejpam-6341	179	4	=	=	SYM
ejpam-6341	179	5	0	0	NUM
ejpam-6341	179	6	.	.	PUNCT
ejpam-6341	180	1	(	(	PUNCT
ejpam-6341	180	2	20	20	NUM
ejpam-6341	180	3	)	)	PUNCT
ejpam-6341	180	4	then	then	ADV
ejpam-6341	180	5	,	,	PUNCT
ejpam-6341	180	6	from	from	ADP
ejpam-6341	180	7	equation	equation	NOUN
ejpam-6341	180	8	(	(	PUNCT
ejpam-6341	180	9	20	20	NUM
ejpam-6341	180	10	)	)	PUNCT
ejpam-6341	180	11	there	there	PRON
ejpam-6341	180	12	exists	exist	VERB
ejpam-6341	180	13	two	two	NUM
ejpam-6341	180	14	singular	singular	ADJ
ejpam-6341	180	15	points	point	NOUN
ejpam-6341	180	16	(	(	PUNCT
ejpam-6341	180	17	0,±	0,±	NOUN
ejpam-6341	180	18	√	√	NOUN
ejpam-6341	180	19	c	c	NOUN
ejpam-6341	180	20	)	)	PUNCT
ejpam-6341	180	21	.	.	PUNCT
ejpam-6341	181	1	in	in	ADP
ejpam-6341	181	2	order	order	NOUN
ejpam-6341	181	3	to	to	PART
ejpam-6341	181	4	determine	determine	VERB
ejpam-6341	181	5	the	the	DET
ejpam-6341	181	6	type	type	NOUN
ejpam-6341	181	7	of	of	ADP
ejpam-6341	181	8	these	these	DET
ejpam-6341	181	9	points	point	NOUN
ejpam-6341	181	10	,	,	PUNCT
ejpam-6341	181	11	put	put	VERB
ejpam-6341	181	12	p	p	NOUN
ejpam-6341	181	13	=	=	PUNCT
ejpam-6341	181	14	x	x	X
ejpam-6341	181	15	and	and	CCONJ
ejpam-6341	181	16	q	q	ADJ
ejpam-6341	181	17	=	=	SYM
ejpam-6341	181	18	y	y	PROPN
ejpam-6341	181	19	±	±	NOUN
ejpam-6341	182	1	√	√	NOUN
ejpam-6341	182	2	c	c	NOUN
ejpam-6341	182	3	in	in	ADP
ejpam-6341	182	4	equation	equation	NOUN
ejpam-6341	182	5	(	(	PUNCT
ejpam-6341	182	6	19	19	NUM
ejpam-6341	182	7	)	)	PUNCT
ejpam-6341	182	8	and	and	CCONJ
ejpam-6341	182	9	ignoring	ignore	VERB
ejpam-6341	182	10	terms	term	NOUN
ejpam-6341	182	11	of	of	ADP
ejpam-6341	182	12	degree	degree	NOUN
ejpam-6341	182	13	greater	great	ADJ
ejpam-6341	182	14	than	than	ADP
ejpam-6341	182	15	two	two	NUM
ejpam-6341	182	16	,	,	PUNCT
ejpam-6341	182	17	thus	thus	ADV
ejpam-6341	182	18	the	the	DET
ejpam-6341	182	19	point	point	NOUN
ejpam-6341	182	20	(	(	PUNCT
ejpam-6341	182	21	0	0	NUM
ejpam-6341	182	22	,	,	PUNCT
ejpam-6341	182	23	√	√	ADP
ejpam-6341	182	24	c	c	X
ejpam-6341	182	25	)	)	PUNCT
ejpam-6341	182	26	is	be	AUX
ejpam-6341	182	27	elliptic	elliptic	ADJ
ejpam-6341	182	28	point	point	NOUN
ejpam-6341	183	1	where	where	SCONJ
ejpam-6341	183	2	the	the	DET
ejpam-6341	183	3	jacobian	jacobian	PROPN
ejpam-6341	183	4	j	j	PROPN
ejpam-6341	183	5	=	=	PRON
ejpam-6341	183	6	fxxfyy	fxxfyy	NOUN
ejpam-6341	183	7	−	−	PROPN
ejpam-6341	183	8	fxyfyx	fxyfyx	PROPN
ejpam-6341	183	9	>	>	X
ejpam-6341	183	10	0	0	NUM
ejpam-6341	183	11	,	,	PUNCT
ejpam-6341	183	12	and	and	CCONJ
ejpam-6341	183	13	the	the	DET
ejpam-6341	183	14	point	point	NOUN
ejpam-6341	183	15	(	(	PUNCT
ejpam-6341	183	16	0,−	0,−	NOUN
ejpam-6341	183	17	√	√	NUM
ejpam-6341	183	18	c	c	X
ejpam-6341	183	19	)	)	PUNCT
ejpam-6341	183	20	is	be	AUX
ejpam-6341	183	21	hyperbolic	hyperbolic	ADJ
ejpam-6341	183	22	point	point	NOUN
ejpam-6341	183	23	where	where	SCONJ
ejpam-6341	183	24	the	the	DET
ejpam-6341	183	25	jacobian	jacobian	PROPN
ejpam-6341	183	26	j	j	PROPN
ejpam-6341	183	27	=	=	PRON
ejpam-6341	183	28	fxxfyy	fxxfyy	NOUN
ejpam-6341	184	1	−	−	PROPN
ejpam-6341	184	2	fxyfyx	fxyfyx	PROPN
ejpam-6341	184	3	<	<	X
ejpam-6341	184	4	0	0	PUNCT
ejpam-6341	184	5	as	as	SCONJ
ejpam-6341	184	6	shown	show	VERB
ejpam-6341	184	7	in	in	ADP
ejpam-6341	184	8	figure	figure	NOUN
ejpam-6341	184	9	4	4	NUM
ejpam-6341	184	10	.	.	NOUN
ejpam-6341	184	11	3	3	NUM
ejpam-6341	184	12	.	.	X
ejpam-6341	184	13	separation	separation	NOUN
ejpam-6341	184	14	of	of	ADP
ejpam-6341	184	15	the	the	DET
ejpam-6341	184	16	last	last	ADJ
ejpam-6341	184	17	case	case	NOUN
ejpam-6341	184	18	of	of	ADP
ejpam-6341	184	19	quartic	quartic	ADJ
ejpam-6341	184	20	potential	potential	NOUN
ejpam-6341	184	21	the	the	DET
ejpam-6341	184	22	hamiltonian	hamiltonian	ADJ
ejpam-6341	184	23	function	function	NOUN
ejpam-6341	184	24	associated	associate	VERB
ejpam-6341	184	25	with	with	ADP
ejpam-6341	184	26	the	the	DET
ejpam-6341	184	27	quartic	quartic	ADJ
ejpam-6341	184	28	potential	potential	NOUN
ejpam-6341	184	29	in	in	ADP
ejpam-6341	184	30	the	the	DET
ejpam-6341	184	31	last	last	ADJ
ejpam-6341	184	32	case	case	NOUN
ejpam-6341	184	33	is	be	AUX
ejpam-6341	184	34	given	give	VERB
ejpam-6341	184	35	by	by	ADP
ejpam-6341	184	36	h	h	NOUN
ejpam-6341	184	37	=	=	NOUN
ejpam-6341	184	38	1	1	NUM
ejpam-6341	184	39	2	2	NUM
ejpam-6341	184	40	(	(	PUNCT
ejpam-6341	184	41	p2x	p2x	NOUN
ejpam-6341	184	42	+	+	CCONJ
ejpam-6341	184	43	p2y	p2y	NOUN
ejpam-6341	184	44	)	)	PUNCT
ejpam-6341	185	1	+	+	CCONJ
ejpam-6341	185	2	α(x4	α(x4	X
ejpam-6341	185	3	+	+	NOUN
ejpam-6341	185	4	6x2y2	6x2y2	NUM
ejpam-6341	185	5	+	+	X
ejpam-6341	185	6	8y4	8y4	NUM
ejpam-6341	185	7	)	)	PUNCT
ejpam-6341	185	8	,	,	PUNCT
ejpam-6341	185	9	(	(	PUNCT
ejpam-6341	185	10	21	21	NUM
ejpam-6341	185	11	)	)	PUNCT
ejpam-6341	185	12	for	for	ADP
ejpam-6341	185	13	simplicity	simplicity	NOUN
ejpam-6341	185	14	,	,	PUNCT
ejpam-6341	185	15	we	we	PRON
ejpam-6341	185	16	can	can	AUX
ejpam-6341	185	17	consider	consider	VERB
ejpam-6341	185	18	that	that	PRON
ejpam-6341	185	19	α	α	NOUN
ejpam-6341	185	20	=	=	NOUN
ejpam-6341	185	21	1	1	X
ejpam-6341	185	22	.	.	PUNCT
ejpam-6341	186	1	in	in	ADP
ejpam-6341	186	2	[	[	X
ejpam-6341	186	3	28	28	NUM
ejpam-6341	186	4	]	]	PUNCT
ejpam-6341	186	5	,	,	PUNCT
ejpam-6341	186	6	the	the	DET
ejpam-6341	186	7	authors	author	NOUN
ejpam-6341	186	8	used	use	VERB
ejpam-6341	186	9	the	the	DET
ejpam-6341	186	10	transformation	transformation	NOUN
ejpam-6341	186	11	u	u	NOUN
ejpam-6341	186	12	=	=	PROPN
ejpam-6341	186	13	p2x	p2x	PROPN
ejpam-6341	186	14	+	+	NOUN
ejpam-6341	186	15	c	c	NOUN
ejpam-6341	186	16	x2	x2	NOUN
ejpam-6341	187	1	+	+	CCONJ
ejpam-6341	187	2	2x2	2x2	NUM
ejpam-6341	187	3	+	+	CCONJ
ejpam-6341	187	4	4y2	4y2	NUM
ejpam-6341	187	5	,	,	PUNCT
ejpam-6341	187	6	v	v	NOUN
ejpam-6341	187	7	=	=	SYM
ejpam-6341	187	8	p2x	p2x	NOUN
ejpam-6341	187	9	−	−	NOUN
ejpam-6341	188	1	c	c	NOUN
ejpam-6341	188	2	x2	x2	PROPN
ejpam-6341	189	1	+	+	CCONJ
ejpam-6341	189	2	2x2	2x2	NUM
ejpam-6341	189	3	+	+	CCONJ
ejpam-6341	189	4	4y2	4y2	NUM
ejpam-6341	189	5	,	,	PUNCT
ejpam-6341	189	6	(	(	PUNCT
ejpam-6341	189	7	22	22	NUM
ejpam-6341	189	8	)	)	PUNCT
ejpam-6341	189	9	t.	t.	PROPN
ejpam-6341	189	10	s.	s.	PROPN
ejpam-6341	189	11	amer	amer	PROPN
ejpam-6341	189	12	et	et	PROPN
ejpam-6341	189	13	al	al	PROPN
ejpam-6341	189	14	.	.	PUNCT
ejpam-6341	189	15	/	/	SYM
ejpam-6341	189	16	eur	eur	PROPN
ejpam-6341	189	17	.	.	PUNCT
ejpam-6341	190	1	j.	j.	PROPN
ejpam-6341	190	2	pure	pure	PROPN
ejpam-6341	190	3	appl	appl	PROPN
ejpam-6341	190	4	.	.	PROPN
ejpam-6341	190	5	math	math	PROPN
ejpam-6341	190	6	,	,	PUNCT
ejpam-6341	190	7	18	18	NUM
ejpam-6341	190	8	(	(	PUNCT
ejpam-6341	190	9	3	3	NUM
ejpam-6341	190	10	)	)	PUNCT
ejpam-6341	190	11	(	(	PUNCT
ejpam-6341	190	12	2025	2025	NUM
ejpam-6341	190	13	)	)	PUNCT
ejpam-6341	190	14	,	,	PUNCT
ejpam-6341	190	15	6341	6341	NUM
ejpam-6341	190	16	11	11	NUM
ejpam-6341	190	17	of	of	ADP
ejpam-6341	190	18	22	22	NUM
ejpam-6341	190	19	figure	figure	NOUN
ejpam-6341	190	20	4	4	NUM
ejpam-6341	190	21	:	:	PUNCT
ejpam-6341	190	22	the	the	DET
ejpam-6341	190	23	elliptic	elliptic	ADJ
ejpam-6341	190	24	point	point	NOUN
ejpam-6341	190	25	(	(	PUNCT
ejpam-6341	190	26	0	0	NUM
ejpam-6341	190	27	,	,	PUNCT
ejpam-6341	190	28	√	√	ADP
ejpam-6341	190	29	c	c	NOUN
ejpam-6341	190	30	)	)	PUNCT
ejpam-6341	190	31	and	and	CCONJ
ejpam-6341	190	32	the	the	DET
ejpam-6341	190	33	hyperbolic	hyperbolic	ADJ
ejpam-6341	190	34	point	point	NOUN
ejpam-6341	190	35	(	(	PUNCT
ejpam-6341	190	36	0,−	0,−	NOUN
ejpam-6341	190	37	√	√	NUM
ejpam-6341	190	38	c	c	NOUN
ejpam-6341	190	39	)	)	PUNCT
ejpam-6341	190	40	.	.	PUNCT
ejpam-6341	191	1	where	where	SCONJ
ejpam-6341	191	2	x2	x2	PROPN
ejpam-6341	192	1	=	=	SYM
ejpam-6341	192	2	2c	2c	NUM
ejpam-6341	192	3	u−	u−	PROPN
ejpam-6341	192	4	v	v	NOUN
ejpam-6341	192	5	,	,	PUNCT
ejpam-6341	192	6	y2	y2	NOUN
ejpam-6341	192	7	=	=	NOUN
ejpam-6341	192	8	u+	u+	NUM
ejpam-6341	192	9	v	v	ADP
ejpam-6341	192	10	8	8	NUM
ejpam-6341	192	11	−	−	NOUN
ejpam-6341	192	12	c	c	PROPN
ejpam-6341	192	13	u−	u−	PROPN
ejpam-6341	192	14	v	v	ADP
ejpam-6341	192	15	−	−	PROPN
ejpam-6341	193	1	(	(	PUNCT
ejpam-6341	193	2	v̇	v̇	NOUN
ejpam-6341	193	3	−	−	NUM
ejpam-6341	193	4	u̇)2	u̇)2	PROPN
ejpam-6341	193	5	16(u−	16(u−	PROPN
ejpam-6341	193	6	v)2	v)2	PROPN
ejpam-6341	193	7	.	.	PUNCT
ejpam-6341	194	1	hence	hence	ADV
ejpam-6341	194	2	the	the	DET
ejpam-6341	194	3	separation	separation	NOUN
ejpam-6341	194	4	equations	equation	NOUN
ejpam-6341	194	5	are	be	AUX
ejpam-6341	194	6	written	write	VERB
ejpam-6341	194	7	in	in	ADP
ejpam-6341	194	8	the	the	DET
ejpam-6341	194	9	form	form	NOUN
ejpam-6341	194	10	u̇2	u̇2	PROPN
ejpam-6341	194	11	=	=	SYM
ejpam-6341	194	12	2u3	2u3	NUM
ejpam-6341	194	13	−	−	PROPN
ejpam-6341	194	14	8u(2h+	8u(2h+	NUM
ejpam-6341	194	15	c	c	NOUN
ejpam-6341	194	16	)	)	PUNCT
ejpam-6341	194	17	,	,	PUNCT
ejpam-6341	194	18	v̇2	v̇2	PROPN
ejpam-6341	194	19	=	=	SYM
ejpam-6341	194	20	2v3	2v3	NUM
ejpam-6341	194	21	−	−	NOUN
ejpam-6341	194	22	8v(2h−	8v(2h−	NUM
ejpam-6341	194	23	c	c	NOUN
ejpam-6341	194	24	)	)	PUNCT
ejpam-6341	194	25	,	,	PUNCT
ejpam-6341	194	26	(	(	PUNCT
ejpam-6341	194	27	23	23	NUM
ejpam-6341	194	28	)	)	PUNCT
ejpam-6341	194	29	where	where	SCONJ
ejpam-6341	194	30	h	h	NOUN
ejpam-6341	194	31	and	and	CCONJ
ejpam-6341	194	32	c	c	PROPN
ejpam-6341	194	33	represent	represent	VERB
ejpam-6341	194	34	the	the	DET
ejpam-6341	194	35	energy	energy	NOUN
ejpam-6341	194	36	integral	integral	ADJ
ejpam-6341	194	37	and	and	CCONJ
ejpam-6341	194	38	second	second	ADJ
ejpam-6341	194	39	invariant	invariant	ADJ
ejpam-6341	194	40	integral	integral	ADJ
ejpam-6341	194	41	respectively∫	respectively∫	NOUN
ejpam-6341	194	42	du√	du√	NOUN
ejpam-6341	195	1	p1(u	p1(u	X
ejpam-6341	195	2	)	)	PUNCT
ejpam-6341	195	3	=	=	SYM
ejpam-6341	195	4	∫	∫	PROPN
ejpam-6341	195	5	dt	dt	X
ejpam-6341	195	6	,	,	PUNCT
ejpam-6341	195	7	∫	∫	PROPN
ejpam-6341	195	8	dv√	dv√	PROPN
ejpam-6341	195	9	p2(v	p2(v	NOUN
ejpam-6341	195	10	)	)	PUNCT
ejpam-6341	195	11	=	=	SYM
ejpam-6341	196	1	∫	∫	PROPN
ejpam-6341	197	1	dt	dt	X
ejpam-6341	197	2	,	,	PUNCT
ejpam-6341	197	3	(	(	PUNCT
ejpam-6341	197	4	24	24	NUM
ejpam-6341	197	5	)	)	PUNCT
ejpam-6341	197	6	where	where	SCONJ
ejpam-6341	197	7	p1(u	p1(u	X
ejpam-6341	197	8	)	)	PUNCT
ejpam-6341	197	9	=	=	NOUN
ejpam-6341	198	1	2u3	2u3	NUM
ejpam-6341	198	2	−	−	NUM
ejpam-6341	199	1	8u(2h+	8u(2h+	NUM
ejpam-6341	199	2	c	c	NOUN
ejpam-6341	199	3	)	)	PUNCT
ejpam-6341	199	4	,	,	PUNCT
ejpam-6341	199	5	p2(v	p2(v	NOUN
ejpam-6341	199	6	)	)	PUNCT
ejpam-6341	199	7	=	=	SYM
ejpam-6341	200	1	2v3	2v3	NUM
ejpam-6341	200	2	−	−	NOUN
ejpam-6341	200	3	8v(2h−	8v(2h−	NUM
ejpam-6341	200	4	c	c	NOUN
ejpam-6341	200	5	)	)	PUNCT
ejpam-6341	200	6	.	.	PUNCT
ejpam-6341	201	1	(	(	PUNCT
ejpam-6341	201	2	25	25	NUM
ejpam-6341	201	3	)	)	PUNCT
ejpam-6341	201	4	3.1	3.1	NUM
ejpam-6341	201	5	.	.	PUNCT
ejpam-6341	202	1	bifurcation	bifurcation	NOUN
ejpam-6341	202	2	of	of	ADP
ejpam-6341	202	3	the	the	DET
ejpam-6341	202	4	problem	problem	NOUN
ejpam-6341	202	5	following	follow	VERB
ejpam-6341	202	6	the	the	DET
ejpam-6341	202	7	method	method	NOUN
ejpam-6341	202	8	described	describe	VERB
ejpam-6341	202	9	in	in	ADP
ejpam-6341	202	10	subsection	subsection	NOUN
ejpam-6341	202	11	2.1	2.1	NUM
ejpam-6341	202	12	,	,	PUNCT
ejpam-6341	202	13	the	the	DET
ejpam-6341	202	14	ls	ls	NOUN
ejpam-6341	202	15	of	of	ADP
ejpam-6341	202	16	this	this	DET
ejpam-6341	202	17	problem	problem	NOUN
ejpam-6341	202	18	possesses	possess	VERB
ejpam-6341	202	19	the	the	DET
ejpam-6341	202	20	topology	topology	NOUN
ejpam-6341	202	21	as	as	ADP
ejpam-6341	202	22	=	=	PUNCT
ejpam-6341	202	23	{	{	PUNCT
ejpam-6341	202	24	(	(	PUNCT
ejpam-6341	202	25	u	u	NOUN
ejpam-6341	202	26	,	,	PUNCT
ejpam-6341	202	27	v	v	NOUN
ejpam-6341	202	28	,	,	PUNCT
ejpam-6341	202	29	u̇	u̇	PROPN
ejpam-6341	202	30	,	,	PUNCT
ejpam-6341	202	31	v̇	v̇	NOUN
ejpam-6341	202	32	)	)	PUNCT
ejpam-6341	202	33	∈	∈	PROPN
ejpam-6341	202	34	r4	r4	NOUN
ejpam-6341	202	35	:	:	PUNCT
ejpam-6341	202	36	h	h	NOUN
ejpam-6341	202	37	=	=	NOUN
ejpam-6341	202	38	h	h	PROPN
ejpam-6341	202	39	,	,	PUNCT
ejpam-6341	202	40	f	f	PROPN
ejpam-6341	202	41	=	=	PUNCT
ejpam-6341	202	42	c	c	PROPN
ejpam-6341	202	43	⊂	⊂	PROPN
ejpam-6341	202	44	r4	r4	PROPN
ejpam-6341	202	45	}	}	PUNCT
ejpam-6341	202	46	.	.	PUNCT
ejpam-6341	203	1	(	(	PUNCT
ejpam-6341	203	2	26	26	NUM
ejpam-6341	203	3	)	)	PUNCT
ejpam-6341	203	4	for	for	ADP
ejpam-6341	203	5	non	non	ADJ
ejpam-6341	203	6	-	-	ADJ
ejpam-6341	203	7	critical	critical	ADJ
ejpam-6341	203	8	values	value	NOUN
ejpam-6341	203	9	of	of	ADP
ejpam-6341	203	10	both	both	CCONJ
ejpam-6341	203	11	f	f	PROPN
ejpam-6341	203	12	and	and	CCONJ
ejpam-6341	203	13	h	h	NOUN
ejpam-6341	203	14	,	,	PUNCT
ejpam-6341	203	15	as	as	ADP
ejpam-6341	203	16	consists	consist	NOUN
ejpam-6341	203	17	of	of	ADP
ejpam-6341	203	18	a	a	DET
ejpam-6341	203	19	limited	limited	ADJ
ejpam-6341	203	20	union	union	NOUN
ejpam-6341	203	21	of	of	ADP
ejpam-6341	203	22	2	2	NUM
ejpam-6341	203	23	-	-	PUNCT
ejpam-6341	203	24	d	d	NOUN
ejpam-6341	203	25	tori	tori	NOUN
ejpam-6341	203	26	.	.	PUNCT
ejpam-6341	204	1	the	the	DET
ejpam-6341	204	2	calculation	calculation	NOUN
ejpam-6341	204	3	of	of	ADP
ejpam-6341	204	4	the	the	DET
ejpam-6341	204	5	energy	energy	NOUN
ejpam-6341	204	6	momentum	momentum	NOUN
ejpam-6341	204	7	diagram	diagram	NOUN
ejpam-6341	204	8	involves	involve	VERB
ejpam-6341	204	9	the	the	DET
ejpam-6341	204	10	utilization	utilization	NOUN
ejpam-6341	204	11	of	of	ADP
ejpam-6341	204	12	the	the	DET
ejpam-6341	204	13	set	set	NOUN
ejpam-6341	204	14	of	of	ADP
ejpam-6341	204	15	critical	critical	ADJ
ejpam-6341	204	16	points	point	NOUN
ejpam-6341	204	17	(	(	PUNCT
ejpam-6341	204	18	u	u	NOUN
ejpam-6341	204	19	,	,	PUNCT
ejpam-6341	204	20	v	v	NOUN
ejpam-6341	204	21	,	,	PUNCT
ejpam-6341	204	22	u̇	u̇	PROPN
ejpam-6341	204	23	,	,	PUNCT
ejpam-6341	204	24	v̇	v̇	NOUN
ejpam-6341	204	25	)	)	PUNCT
ejpam-6341	204	26	→	→	SYM
ejpam-6341	204	27	(	(	PUNCT
ejpam-6341	204	28	h	h	NOUN
ejpam-6341	204	29	,	,	PUNCT
ejpam-6341	204	30	f	f	PROPN
ejpam-6341	204	31	)	)	PUNCT
ejpam-6341	204	32	.	.	PUNCT
ejpam-6341	205	1	if	if	SCONJ
ejpam-6341	205	2	g	g	PROPN
ejpam-6341	205	3	is	be	AUX
ejpam-6341	205	4	the	the	DET
ejpam-6341	205	5	discriminant	discriminant	ADJ
ejpam-6341	205	6	locus	locus	NOUN
ejpam-6341	205	7	of	of	ADP
ejpam-6341	205	8	the	the	DET
ejpam-6341	205	9	polynomials	polynomial	NOUN
ejpam-6341	205	10	p1(u	p1(u	NOUN
ejpam-6341	205	11	)	)	PUNCT
ejpam-6341	205	12	and	and	CCONJ
ejpam-6341	205	13	p2(v	p2(v	NOUN
ejpam-6341	205	14	)	)	PUNCT
ejpam-6341	205	15	,	,	PUNCT
ejpam-6341	205	16	with	with	ADP
ejpam-6341	205	17	coefficients	coefficient	NOUN
ejpam-6341	205	18	depending	depend	VERB
ejpam-6341	205	19	on	on	ADP
ejpam-6341	205	20	h	h	NOUN
ejpam-6341	205	21	and	and	CCONJ
ejpam-6341	205	22	c	c	NOUN
ejpam-6341	205	23	,	,	PUNCT
ejpam-6341	205	24	then	then	ADV
ejpam-6341	205	25	g	g	PROPN
ejpam-6341	205	26	=	=	PROPN
ejpam-6341	205	27	g1	g1	PROPN
ejpam-6341	205	28	∪g2	∪g2	NOUN
ejpam-6341	205	29	=	=	PUNCT
ejpam-6341	206	1	[	[	X
ejpam-6341	206	2	(	(	PUNCT
ejpam-6341	206	3	h	h	NOUN
ejpam-6341	206	4	,	,	PUNCT
ejpam-6341	206	5	c	c	NOUN
ejpam-6341	206	6	)	)	PUNCT
ejpam-6341	206	7	∈	∈	NOUN
ejpam-6341	206	8	r2	r2	NOUN
ejpam-6341	206	9	/	/	SYM
ejpam-6341	206	10	disc(p1(u	disc(p1(u	PROPN
ejpam-6341	206	11	)	)	PUNCT
ejpam-6341	206	12	)	)	PUNCT
ejpam-6341	207	1	=	=	PUNCT
ejpam-6341	207	2	0	0	X
ejpam-6341	207	3	]	]	PUNCT
ejpam-6341	207	4	∪	∪	X
ejpam-6341	207	5	[	[	X
ejpam-6341	207	6	(	(	PUNCT
ejpam-6341	207	7	h	h	NOUN
ejpam-6341	207	8	,	,	PUNCT
ejpam-6341	207	9	c	c	NOUN
ejpam-6341	207	10	)	)	PUNCT
ejpam-6341	207	11	∈	∈	NOUN
ejpam-6341	207	12	r2	r2	PROPN
ejpam-6341	207	13	/	/	SYM
ejpam-6341	207	14	disc(p2(v	disc(p2(v	PROPN
ejpam-6341	207	15	)	)	PUNCT
ejpam-6341	207	16	)	)	PUNCT
ejpam-6341	208	1	=	=	PUNCT
ejpam-6341	208	2	0	0	NUM
ejpam-6341	208	3	]	]	PUNCT
ejpam-6341	208	4	.	.	PUNCT
ejpam-6341	209	1	(	(	PUNCT
ejpam-6341	209	2	27	27	NUM
ejpam-6341	209	3	)	)	PUNCT
ejpam-6341	209	4	the	the	DET
ejpam-6341	209	5	set	set	NOUN
ejpam-6341	209	6	r2	r2	PROPN
ejpam-6341	209	7	/	/	SYM
ejpam-6341	209	8	g	g	PROPN
ejpam-6341	209	9	is	be	AUX
ejpam-6341	209	10	comprised	comprise	VERB
ejpam-6341	209	11	of	of	ADP
ejpam-6341	209	12	of	of	ADP
ejpam-6341	209	13	eight	eight	NUM
ejpam-6341	209	14	connected	connected	ADJ
ejpam-6341	209	15	components	component	NOUN
ejpam-6341	209	16	,	,	PUNCT
ejpam-6341	209	17	as	as	SCONJ
ejpam-6341	209	18	shown	show	VERB
ejpam-6341	209	19	in	in	ADP
ejpam-6341	209	20	figure	figure	NOUN
ejpam-6341	209	21	5	5	NUM
ejpam-6341	209	22	.	.	PUNCT
ejpam-6341	209	23	table	table	NOUN
ejpam-6341	209	24	5	5	NUM
ejpam-6341	209	25	indicates	indicate	VERB
ejpam-6341	209	26	the	the	DET
ejpam-6341	209	27	real	real	ADJ
ejpam-6341	209	28	roots	root	NOUN
ejpam-6341	209	29	of	of	ADP
ejpam-6341	209	30	p1(u	p1(u	NOUN
ejpam-6341	209	31	)	)	PUNCT
ejpam-6341	209	32	and	and	CCONJ
ejpam-6341	209	33	p2(v	p2(v	NOUN
ejpam-6341	209	34	)	)	PUNCT
ejpam-6341	209	35	aiming	aim	VERB
ejpam-6341	209	36	to	to	PART
ejpam-6341	209	37	obtain	obtain	VERB
ejpam-6341	209	38	the	the	DET
ejpam-6341	209	39	ovals	oval	NOUN
ejpam-6341	209	40	(	(	PUNCT
ejpam-6341	209	41	a	a	DET
ejpam-6341	209	42	related	relate	VERB
ejpam-6341	209	43	component	component	NOUN
ejpam-6341	209	44	for	for	ADP
ejpam-6341	209	45	the	the	DET
ejpam-6341	209	46	set	set	NOUN
ejpam-6341	209	47	of	of	ADP
ejpam-6341	209	48	fixed	fix	VERB
ejpam-6341	209	49	points	point	NOUN
ejpam-6341	209	50	on	on	ADP
ejpam-6341	209	51	the	the	DET
ejpam-6341	209	52	curve	curve	NOUN
ejpam-6341	209	53	γj	γj	NOUN
ejpam-6341	209	54	,	,	PUNCT
ejpam-6341	209	55	(	(	PUNCT
ejpam-6341	209	56	j	j	NOUN
ejpam-6341	209	57	=	=	SYM
ejpam-6341	209	58	1	1	NUM
ejpam-6341	209	59	,	,	PUNCT
ejpam-6341	209	60	2	2	NUM
ejpam-6341	209	61	)	)	PUNCT
ejpam-6341	209	62	)	)	PUNCT
ejpam-6341	209	63	;	;	PUNCT
ejpam-6341	209	64	where	where	SCONJ
ejpam-6341	209	65	γ1	γ1	PROPN
ejpam-6341	209	66	:	:	PUNCT
ejpam-6341	209	67	ω1	ω1	PROPN
ejpam-6341	209	68	=	=	PROPN
ejpam-6341	209	69	√	√	NUM
ejpam-6341	209	70	p1(u	p1(u	NUM
ejpam-6341	209	71	)	)	PUNCT
ejpam-6341	209	72	and	and	CCONJ
ejpam-6341	209	73	γ2	γ2	ADJ
ejpam-6341	209	74	:	:	PUNCT
ejpam-6341	209	75	ω2	ω2	PROPN
ejpam-6341	209	76	=	=	SYM
ejpam-6341	209	77	√	√	NUM
ejpam-6341	209	78	p2(v	p2(v	PROPN
ejpam-6341	209	79	)	)	PUNCT
ejpam-6341	209	80	,	,	PUNCT
ejpam-6341	209	81	while	while	SCONJ
ejpam-6341	209	82	table	table	NOUN
ejpam-6341	209	83	6	6	NUM
ejpam-6341	209	84	shows	show	VERB
ejpam-6341	209	85	the	the	DET
ejpam-6341	209	86	topological	topological	ADJ
ejpam-6341	209	87	kind	kind	NOUN
ejpam-6341	209	88	of	of	ADV
ejpam-6341	209	89	as	as	SCONJ
ejpam-6341	209	90	is	be	AUX
ejpam-6341	209	91	a	a	DET
ejpam-6341	209	92	torus	torus	NOUN
ejpam-6341	209	93	,	,	PUNCT
ejpam-6341	209	94	or	or	CCONJ
ejpam-6341	209	95	it	it	PRON
ejpam-6341	209	96	t.	t.	PROPN
ejpam-6341	209	97	s.	s.	PROPN
ejpam-6341	209	98	amer	amer	PROPN
ejpam-6341	209	99	et	et	PROPN
ejpam-6341	209	100	al	al	PROPN
ejpam-6341	209	101	.	.	PUNCT
ejpam-6341	209	102	/	/	SYM
ejpam-6341	209	103	eur	eur	PROPN
ejpam-6341	209	104	.	.	PUNCT
ejpam-6341	210	1	j.	j.	PROPN
ejpam-6341	210	2	pure	pure	PROPN
ejpam-6341	210	3	appl	appl	PROPN
ejpam-6341	210	4	.	.	PROPN
ejpam-6341	210	5	math	math	PROPN
ejpam-6341	210	6	,	,	PUNCT
ejpam-6341	210	7	18	18	NUM
ejpam-6341	210	8	(	(	PUNCT
ejpam-6341	210	9	3	3	NUM
ejpam-6341	210	10	)	)	PUNCT
ejpam-6341	210	11	(	(	PUNCT
ejpam-6341	210	12	2025	2025	NUM
ejpam-6341	210	13	)	)	PUNCT
ejpam-6341	210	14	,	,	PUNCT
ejpam-6341	210	15	6341	6341	NUM
ejpam-6341	210	16	12	12	NUM
ejpam-6341	210	17	of	of	ADP
ejpam-6341	210	18	22	22	NUM
ejpam-6341	210	19	table	table	NOUN
ejpam-6341	210	20	5	5	NUM
ejpam-6341	210	21	:	:	PUNCT
ejpam-6341	210	22	topological	topological	ADJ
ejpam-6341	210	23	type	type	NOUN
ejpam-6341	210	24	of	of	ADP
ejpam-6341	210	25	as	as	ADP
ejpam-6341	210	26	and	and	CCONJ
ejpam-6341	210	27	real	real	ADJ
ejpam-6341	210	28	roots	root	NOUN
ejpam-6341	210	29	of	of	ADP
ejpam-6341	210	30	the	the	DET
ejpam-6341	210	31	polynomials	polynomial	NOUN
ejpam-6341	210	32	p1(u	p1(u	NOUN
ejpam-6341	210	33	)	)	PUNCT
ejpam-6341	210	34	and	and	CCONJ
ejpam-6341	210	35	p2(v	p2(v	NOUN
ejpam-6341	210	36	)	)	PUNCT
ejpam-6341	210	37	for	for	ADP
ejpam-6341	210	38	(	(	PUNCT
ejpam-6341	210	39	h	h	NOUN
ejpam-6341	210	40	,	,	PUNCT
ejpam-6341	210	41	c	c	NOUN
ejpam-6341	210	42	)	)	PUNCT
ejpam-6341	210	43	∈	∈	NOUN
ejpam-6341	210	44	r2	r2	PROPN
ejpam-6341	210	45	/	/	SYM
ejpam-6341	210	46	g.	g.	NOUN
ejpam-6341	210	47	domain	domain	NOUN
ejpam-6341	210	48	roots	root	NOUN
ejpam-6341	210	49	of	of	ADP
ejpam-6341	210	50	p1(u	p1(u	NOUN
ejpam-6341	210	51	)	)	PUNCT
ejpam-6341	210	52	roots	root	NOUN
ejpam-6341	210	53	of	of	ADP
ejpam-6341	210	54	p2(v	p2(v	NOUN
ejpam-6341	210	55	)	)	PUNCT
ejpam-6341	210	56	1	1	NUM
ejpam-6341	210	57	u1	u1	NOUN
ejpam-6341	210	58	<	<	X
ejpam-6341	210	59	0	0	PUNCT
ejpam-6341	210	60	<	<	X
ejpam-6341	210	61	u3	u3	PROPN
ejpam-6341	210	62	v1	v1	NOUN
ejpam-6341	210	63	<	<	X
ejpam-6341	210	64	0	0	PUNCT
ejpam-6341	210	65	<	<	X
ejpam-6341	210	66	v3	v3	PROPN
ejpam-6341	210	67	2	2	NUM
ejpam-6341	210	68	u1	u1	NOUN
ejpam-6341	210	69	<	<	X
ejpam-6341	210	70	0	0	PUNCT
ejpam-6341	210	71	<	<	X
ejpam-6341	210	72	u3	u3	NOUN
ejpam-6341	210	73	v2	v2	PROPN
ejpam-6341	210	74	=	=	SYM
ejpam-6341	210	75	0	0	SYM
ejpam-6341	210	76	3	3	NUM
ejpam-6341	210	77	u1	u1	NOUN
ejpam-6341	210	78	<	<	X
ejpam-6341	210	79	0	0	PUNCT
ejpam-6341	210	80	<	<	X
ejpam-6341	210	81	u3	u3	NOUN
ejpam-6341	210	82	v2	v2	NOUN
ejpam-6341	210	83	=	=	NOUN
ejpam-6341	210	84	0	0	NUM
ejpam-6341	210	85	4	4	NUM
ejpam-6341	210	86	u2	u2	NOUN
ejpam-6341	210	87	=	=	NOUN
ejpam-6341	210	88	0	0	NUM
ejpam-6341	211	1	v2	v2	NOUN
ejpam-6341	211	2	=	=	SYM
ejpam-6341	211	3	0	0	NUM
ejpam-6341	211	4	5	5	NUM
ejpam-6341	211	5	u2	u2	NOUN
ejpam-6341	211	6	=	=	NOUN
ejpam-6341	211	7	0	0	NUM
ejpam-6341	211	8	v2	v2	NOUN
ejpam-6341	211	9	=	=	SYM
ejpam-6341	211	10	0	0	NUM
ejpam-6341	211	11	6	6	NUM
ejpam-6341	211	12	u2	u2	NOUN
ejpam-6341	211	13	=	=	SYM
ejpam-6341	211	14	0	0	NUM
ejpam-6341	211	15	v1	v1	NOUN
ejpam-6341	211	16	<	<	X
ejpam-6341	211	17	0	0	PUNCT
ejpam-6341	211	18	<	<	X
ejpam-6341	211	19	v3	v3	PROPN
ejpam-6341	211	20	7	7	NUM
ejpam-6341	211	21	u2	u2	PROPN
ejpam-6341	211	22	=	=	SYM
ejpam-6341	211	23	0	0	NUM
ejpam-6341	211	24	v1	v1	NOUN
ejpam-6341	211	25	<	<	X
ejpam-6341	211	26	0	0	PUNCT
ejpam-6341	211	27	<	<	X
ejpam-6341	211	28	v3	v3	PROPN
ejpam-6341	211	29	8	8	NUM
ejpam-6341	211	30	u1	u1	NOUN
ejpam-6341	211	31	<	<	X
ejpam-6341	211	32	0	0	PUNCT
ejpam-6341	211	33	<	<	X
ejpam-6341	211	34	u3	u3	PROPN
ejpam-6341	211	35	v1	v1	NOUN
ejpam-6341	211	36	<	<	X
ejpam-6341	211	37	0	0	PUNCT
ejpam-6341	211	38	<	<	X
ejpam-6341	211	39	v3	v3	PROPN
ejpam-6341	211	40	might	might	AUX
ejpam-6341	211	41	be	be	AUX
ejpam-6341	211	42	an	an	DET
ejpam-6341	211	43	empty	empty	ADJ
ejpam-6341	211	44	set	set	NOUN
ejpam-6341	211	45	.	.	PUNCT
ejpam-6341	212	1	the	the	DET
ejpam-6341	212	2	topological	topological	ADJ
ejpam-6341	212	3	kind	kind	NOUN
ejpam-6341	212	4	is	be	AUX
ejpam-6341	212	5	a	a	DET
ejpam-6341	212	6	tours	tour	NOUN
ejpam-6341	212	7	as	as	ADP
ejpam-6341	212	8	in	in	ADP
ejpam-6341	212	9	dm	dm	PROPN
ejpam-6341	212	10	(	(	PUNCT
ejpam-6341	212	11	m	m	NOUN
ejpam-6341	212	12	=	=	SYM
ejpam-6341	212	13	1	1	NUM
ejpam-6341	212	14	,	,	PUNCT
ejpam-6341	212	15	8)	8)	NUM
ejpam-6341	212	16	or	or	CCONJ
ejpam-6341	212	17	empty	empty	ADJ
ejpam-6341	212	18	as	as	ADP
ejpam-6341	212	19	in	in	ADP
ejpam-6341	212	20	dm∗	dm∗	NOUN
ejpam-6341	212	21	(	(	PUNCT
ejpam-6341	212	22	m∗	m∗	NOUN
ejpam-6341	212	23	=	=	SYM
ejpam-6341	212	24	2	2	NUM
ejpam-6341	212	25	,	,	PUNCT
ejpam-6341	212	26	3	3	NUM
ejpam-6341	212	27	,	,	PUNCT
ejpam-6341	212	28	4	4	NUM
ejpam-6341	212	29	,	,	PUNCT
ejpam-6341	212	30	5	5	NUM
ejpam-6341	212	31	,	,	PUNCT
ejpam-6341	212	32	6	6	NUM
ejpam-6341	212	33	,	,	PUNCT
ejpam-6341	212	34	7	7	NUM
ejpam-6341	212	35	)	)	PUNCT
ejpam-6341	212	36	.	.	PUNCT
ejpam-6341	213	1	to	to	PART
ejpam-6341	213	2	analyze	analyze	VERB
ejpam-6341	213	3	all	all	DET
ejpam-6341	213	4	generic	generic	ADJ
ejpam-6341	213	5	ltb	ltb	NOUN
ejpam-6341	213	6	of	of	ADP
ejpam-6341	213	7	the	the	DET
ejpam-6341	213	8	issue	issue	NOUN
ejpam-6341	213	9	as	as	SCONJ
ejpam-6341	213	10	demonstrated	demonstrate	VERB
ejpam-6341	213	11	in	in	ADP
ejpam-6341	213	12	table	table	NOUN
ejpam-6341	213	13	7	7	NUM
ejpam-6341	213	14	,	,	PUNCT
ejpam-6341	213	15	it	it	PRON
ejpam-6341	213	16	is	be	AUX
ejpam-6341	213	17	sufficient	sufficient	ADJ
ejpam-6341	213	18	to	to	PART
ejpam-6341	213	19	examine	examine	VERB
ejpam-6341	213	20	the	the	DET
ejpam-6341	213	21	bifurcations	bifurcation	NOUN
ejpam-6341	213	22	of	of	ADP
ejpam-6341	213	23	p1(u	p1(u	NOUN
ejpam-6341	213	24	)	)	PUNCT
ejpam-6341	213	25	and	and	CCONJ
ejpam-6341	213	26	p2(v	p2(v	NOUN
ejpam-6341	213	27	)	)	PUNCT
ejpam-6341	213	28	,	,	PUNCT
ejpam-6341	213	29	the	the	DET
ejpam-6341	213	30	correspondence	correspondence	NOUN
ejpam-6341	213	31	between	between	ADP
ejpam-6341	213	32	invariant	invariant	ADJ
ejpam-6341	213	33	ltb	ltb	PROPN
ejpam-6341	213	34	and	and	CCONJ
ejpam-6341	213	35	bifurcations	bifurcation	NOUN
ejpam-6341	213	36	of	of	ADP
ejpam-6341	213	37	roots	root	NOUN
ejpam-6341	213	38	of	of	ADP
ejpam-6341	213	39	them	they	PRON
ejpam-6341	213	40	,	,	PUNCT
ejpam-6341	213	41	see	see	VERB
ejpam-6341	213	42	figures	figure	NOUN
ejpam-6341	213	43	6	6	NUM
ejpam-6341	213	44	and	and	CCONJ
ejpam-6341	213	45	7	7	NUM
ejpam-6341	213	46	.	.	X
ejpam-6341	213	47	figure	figure	NOUN
ejpam-6341	213	48	5	5	NUM
ejpam-6341	213	49	:	:	PUNCT
ejpam-6341	213	50	diagram	diagram	NOUN
ejpam-6341	213	51	of	of	ADP
ejpam-6341	213	52	bifurcation	bifurcation	NOUN
ejpam-6341	213	53	g	g	PROPN
ejpam-6341	213	54	=	=	PROPN
ejpam-6341	213	55	g1	g1	PROPN
ejpam-6341	213	56	∪g2	∪g2	NOUN
ejpam-6341	213	57	.	.	PUNCT
ejpam-6341	214	1	3.2	3.2	NUM
ejpam-6341	214	2	.	.	PUNCT
ejpam-6341	215	1	periodic	periodic	ADJ
ejpam-6341	215	2	solution	solution	NOUN
ejpam-6341	215	3	from	from	ADP
ejpam-6341	215	4	the	the	DET
ejpam-6341	215	5	previous	previous	ADJ
ejpam-6341	215	6	section	section	NOUN
ejpam-6341	215	7	,	,	PUNCT
ejpam-6341	215	8	the	the	DET
ejpam-6341	215	9	ps	ps	NOUN
ejpam-6341	215	10	lies	lie	VERB
ejpam-6341	215	11	on	on	ADP
ejpam-6341	215	12	the	the	DET
ejpam-6341	215	13	curves	curve	NOUN
ejpam-6341	215	14	c1	c1	NOUN
ejpam-6341	215	15	where	where	SCONJ
ejpam-6341	215	16	c	c	NOUN
ejpam-6341	215	17	=	=	SYM
ejpam-6341	215	18	2h	2h	NOUN
ejpam-6341	215	19	as	as	SCONJ
ejpam-6341	215	20	shown	show	VERB
ejpam-6341	215	21	in	in	ADP
ejpam-6341	215	22	table	table	NOUN
ejpam-6341	215	23	8	8	NUM
ejpam-6341	215	24	,	,	PUNCT
ejpam-6341	215	25	and	and	CCONJ
ejpam-6341	215	26	the	the	DET
ejpam-6341	215	27	u3	u3	NOUN
ejpam-6341	215	28	parameter	parameter	NOUN
ejpam-6341	215	29	taking	take	VERB
ejpam-6341	215	30	value	value	NOUN
ejpam-6341	215	31	in	in	ADP
ejpam-6341	215	32	interval	interval	NOUN
ejpam-6341	215	33	[	[	X
ejpam-6341	215	34	0	0	NUM
ejpam-6341	215	35	,	,	PUNCT
ejpam-6341	215	36	u3	u3	NOUN
ejpam-6341	215	37	]	]	PUNCT
ejpam-6341	215	38	and	and	CCONJ
ejpam-6341	215	39	v1	v1	NOUN
ejpam-6341	215	40	=	=	SYM
ejpam-6341	215	41	0	0	NUM
ejpam-6341	215	42	.	.	PUNCT
ejpam-6341	216	1	according	accord	VERB
ejpam-6341	216	2	to	to	ADP
ejpam-6341	216	3	the	the	DET
ejpam-6341	216	4	initial	initial	ADJ
ejpam-6341	216	5	equation	equation	NOUN
ejpam-6341	216	6	of	of	ADP
ejpam-6341	216	7	(	(	PUNCT
ejpam-6341	216	8	25	25	NUM
ejpam-6341	216	9	)	)	PUNCT
ejpam-6341	216	10	,	,	PUNCT
ejpam-6341	216	11	the	the	DET
ejpam-6341	216	12	function	function	NOUN
ejpam-6341	216	13	p1(u	p1(u	NOUN
ejpam-6341	216	14	)	)	PUNCT
ejpam-6341	216	15	can	can	AUX
ejpam-6341	216	16	be	be	AUX
ejpam-6341	216	17	characterized	characterize	VERB
ejpam-6341	216	18	as	as	ADP
ejpam-6341	216	19	a	a	DET
ejpam-6341	216	20	cubic	cubic	ADJ
ejpam-6341	216	21	polynomial	polynomial	NOUN
ejpam-6341	216	22	whose	whose	DET
ejpam-6341	216	23	real	real	ADJ
ejpam-6341	216	24	roots	root	NOUN
ejpam-6341	216	25	u1	u1	VERB
ejpam-6341	216	26	,	,	PUNCT
ejpam-6341	216	27	0	0	NUM
ejpam-6341	216	28	and	and	CCONJ
ejpam-6341	216	29	u3	u3	NOUN
ejpam-6341	216	30	.	.	PUNCT
ejpam-6341	217	1	here	here	ADV
ejpam-6341	217	2	p1(u	p1(u	NOUN
ejpam-6341	217	3	)	)	PUNCT
ejpam-6341	217	4	=	=	SYM
ejpam-6341	217	5	u(u−	u(u−	PROPN
ejpam-6341	217	6	u1)(u−	u1)(u−	ADJ
ejpam-6341	217	7	u3	u3	PROPN
ejpam-6341	217	8	)	)	PUNCT
ejpam-6341	217	9	;	;	PUNCT
ejpam-6341	217	10	u3	u3	PROPN
ejpam-6341	217	11	≤	≤	NUM
ejpam-6341	217	12	u	u	PROPN
ejpam-6341	217	13	,	,	PUNCT
ejpam-6341	217	14	(	(	PUNCT
ejpam-6341	217	15	28	28	NUM
ejpam-6341	217	16	)	)	PUNCT
ejpam-6341	217	17	u	u	NOUN
ejpam-6341	217	18	=	=	PROPN
ejpam-6341	217	19	u3	u3	PROPN
ejpam-6341	217	20	1−	1−	NUM
ejpam-6341	217	21	sin2	sin2	PROPN
ejpam-6341	217	22	φ	φ	PROPN
ejpam-6341	217	23	,	,	PUNCT
ejpam-6341	217	24	(	(	PUNCT
ejpam-6341	217	25	29	29	NUM
ejpam-6341	217	26	)	)	PUNCT
ejpam-6341	217	27	t.	t.	PROPN
ejpam-6341	217	28	s.	s.	PROPN
ejpam-6341	217	29	amer	amer	PROPN
ejpam-6341	217	30	et	et	PROPN
ejpam-6341	217	31	al	al	PROPN
ejpam-6341	217	32	.	.	PUNCT
ejpam-6341	217	33	/	/	SYM
ejpam-6341	217	34	eur	eur	PROPN
ejpam-6341	217	35	.	.	PUNCT
ejpam-6341	218	1	j.	j.	PROPN
ejpam-6341	218	2	pure	pure	PROPN
ejpam-6341	218	3	appl	appl	PROPN
ejpam-6341	218	4	.	.	PROPN
ejpam-6341	218	5	math	math	PROPN
ejpam-6341	218	6	,	,	PUNCT
ejpam-6341	218	7	18	18	NUM
ejpam-6341	218	8	(	(	PUNCT
ejpam-6341	218	9	3	3	NUM
ejpam-6341	218	10	)	)	PUNCT
ejpam-6341	218	11	(	(	PUNCT
ejpam-6341	218	12	2025	2025	NUM
ejpam-6341	218	13	)	)	PUNCT
ejpam-6341	218	14	,	,	PUNCT
ejpam-6341	218	15	6341	6341	NUM
ejpam-6341	218	16	13	13	NUM
ejpam-6341	218	17	of	of	ADP
ejpam-6341	218	18	22	22	NUM
ejpam-6341	218	19	table	table	NOUN
ejpam-6341	218	20	6	6	NUM
ejpam-6341	218	21	:	:	PUNCT
ejpam-6341	218	22	the	the	DET
ejpam-6341	218	23	allowable	allowable	ADJ
ejpam-6341	218	24	ovals	oval	NOUN
ejpam-6341	218	25	and	and	CCONJ
ejpam-6341	218	26	the	the	DET
ejpam-6341	218	27	topological	topological	ADJ
ejpam-6341	218	28	classification	classification	NOUN
ejpam-6341	218	29	of	of	ADP
ejpam-6341	218	30	as	as	ADP
ejpam-6341	218	31	for	for	ADP
ejpam-6341	218	32	(	(	PUNCT
ejpam-6341	218	33	h	h	NOUN
ejpam-6341	218	34	,	,	PUNCT
ejpam-6341	218	35	c	c	NOUN
ejpam-6341	218	36	)	)	PUNCT
ejpam-6341	218	37	∈	∈	NOUN
ejpam-6341	218	38	r2	r2	PROPN
ejpam-6341	218	39	/	/	SYM
ejpam-6341	218	40	g.	g.	PROPN
ejpam-6341	218	41	domain	domain	PROPN
ejpam-6341	218	42	u−	u−	PROPN
ejpam-6341	218	43	plane	plane	NOUN
ejpam-6341	218	44	∆1	∆1	NOUN
ejpam-6341	218	45	v	v	ADP
ejpam-6341	218	46	−	−	PROPN
ejpam-6341	218	47	plane	plane	NOUN
ejpam-6341	218	48	∆2	∆2	PROPN
ejpam-6341	218	49	topological	topological	ADJ
ejpam-6341	218	50	type	type	NOUN
ejpam-6341	218	51	1	1	NUM
ejpam-6341	218	52	[	[	X
ejpam-6341	218	53	0	0	NUM
ejpam-6341	218	54	,	,	PUNCT
ejpam-6341	218	55	u3	u3	NOUN
ejpam-6341	218	56	]	]	PUNCT
ejpam-6341	218	57	[	[	X
ejpam-6341	218	58	v1	v1	NOUN
ejpam-6341	218	59	,	,	PUNCT
ejpam-6341	218	60	0	0	NUM
ejpam-6341	218	61	]	]	PUNCT
ejpam-6341	218	62	t	t	NOUN
ejpam-6341	218	63	2	2	NUM
ejpam-6341	218	64	[	[	X
ejpam-6341	218	65	0	0	NUM
ejpam-6341	218	66	,	,	PUNCT
ejpam-6341	218	67	u3	u3	NOUN
ejpam-6341	218	68	]	]	PUNCT
ejpam-6341	218	69	∅	∅	NOUN
ejpam-6341	218	70	∅	∅	NOUN
ejpam-6341	218	71	3	3	NUM
ejpam-6341	218	72	[	[	X
ejpam-6341	218	73	0	0	NUM
ejpam-6341	218	74	,	,	PUNCT
ejpam-6341	218	75	u3	u3	NOUN
ejpam-6341	218	76	]	]	PUNCT
ejpam-6341	218	77	∅	∅	NOUN
ejpam-6341	218	78	∅	∅	NOUN
ejpam-6341	218	79	4	4	NUM
ejpam-6341	218	80	∅	∅	NOUN
ejpam-6341	218	81	∅	∅	NOUN
ejpam-6341	218	82	∅	∅	NOUN
ejpam-6341	218	83	5	5	NUM
ejpam-6341	218	84	∅	∅	NOUN
ejpam-6341	218	85	∅	∅	NOUN
ejpam-6341	218	86	∅	∅	NOUN
ejpam-6341	218	87	6	6	NUM
ejpam-6341	218	88	∅	∅	NOUN
ejpam-6341	218	89	[	[	X
ejpam-6341	218	90	v1	v1	NOUN
ejpam-6341	218	91	,	,	PUNCT
ejpam-6341	218	92	0	0	NUM
ejpam-6341	218	93	]	]	PUNCT
ejpam-6341	218	94	∅	∅	NOUN
ejpam-6341	218	95	7	7	NUM
ejpam-6341	218	96	∅	∅	NOUN
ejpam-6341	218	97	[	[	X
ejpam-6341	218	98	v1	v1	NOUN
ejpam-6341	218	99	,	,	PUNCT
ejpam-6341	218	100	0	0	NUM
ejpam-6341	218	101	]	]	PUNCT
ejpam-6341	218	102	∅	∅	NOUN
ejpam-6341	218	103	8	8	NUM
ejpam-6341	219	1	[	[	X
ejpam-6341	219	2	0	0	NUM
ejpam-6341	219	3	,	,	PUNCT
ejpam-6341	219	4	u3	u3	NOUN
ejpam-6341	219	5	]	]	PUNCT
ejpam-6341	220	1	[	[	X
ejpam-6341	220	2	v1	v1	NOUN
ejpam-6341	220	3	,	,	PUNCT
ejpam-6341	220	4	0	0	NUM
ejpam-6341	220	5	]	]	PUNCT
ejpam-6341	220	6	t	t	NOUN
ejpam-6341	220	7	table	table	NOUN
ejpam-6341	220	8	7	7	NUM
ejpam-6341	220	9	:	:	PUNCT
ejpam-6341	220	10	the	the	DET
ejpam-6341	220	11	generic	generic	ADJ
ejpam-6341	220	12	bifurcations	bifurcation	NOUN
ejpam-6341	220	13	of	of	ADP
ejpam-6341	220	14	as	as	ADP
ejpam-6341	220	15	between	between	ADP
ejpam-6341	220	16	domains	domain	NOUN
ejpam-6341	220	17	i	i	PRON
ejpam-6341	220	18	and	and	CCONJ
ejpam-6341	220	19	j	j	PROPN
ejpam-6341	220	20	,	,	PUNCT
ejpam-6341	220	21	where	where	SCONJ
ejpam-6341	220	22	i	i	PRON
ejpam-6341	220	23	=	=	SYM
ejpam-6341	220	24	1	1	NUM
ejpam-6341	220	25	,	,	PUNCT
ejpam-6341	220	26	8	8	NUM
ejpam-6341	220	27	and	and	CCONJ
ejpam-6341	220	28	j	j	NOUN
ejpam-6341	220	29	=	=	PUNCT
ejpam-6341	220	30	(	(	PUNCT
ejpam-6341	220	31	2	2	NUM
ejpam-6341	220	32	:	:	SYM
ejpam-6341	220	33	7	7	NUM
ejpam-6341	220	34	)	)	PUNCT
ejpam-6341	220	35	.	.	PUNCT
ejpam-6341	221	1	t	t	PROPN
ejpam-6341	221	2	→	→	SYM
ejpam-6341	221	3	t	t	PROPN
ejpam-6341	221	4	t	t	PROPN
ejpam-6341	221	5	→	→	PUNCT
ejpam-6341	221	6	∅	∅	NOUN
ejpam-6341	221	7	t	t	NOUN
ejpam-6341	221	8	→	→	PUNCT
ejpam-6341	221	9	∅	∅	NOUN
ejpam-6341	221	10	and	and	CCONJ
ejpam-6341	221	11	du	du	NOUN
ejpam-6341	221	12	=	=	SYM
ejpam-6341	221	13	2u3	2u3	NUM
ejpam-6341	221	14	sinφ	sinφ	NOUN
ejpam-6341	221	15	cosφ	cosφ	NOUN
ejpam-6341	221	16	(	(	PUNCT
ejpam-6341	222	1	1−	1−	NUM
ejpam-6341	222	2	sin2	sin2	NOUN
ejpam-6341	222	3	φ)2	φ)2	PROPN
ejpam-6341	222	4	dφ	dφ	INTJ
ejpam-6341	222	5	.	.	PUNCT
ejpam-6341	223	1	(	(	PUNCT
ejpam-6341	223	2	30	30	NUM
ejpam-6341	223	3	)	)	PUNCT
ejpam-6341	223	4	substituting	substitute	VERB
ejpam-6341	223	5	equations	equation	NOUN
ejpam-6341	223	6	(	(	PUNCT
ejpam-6341	223	7	28)-(30	28)-(30	NUM
ejpam-6341	223	8	)	)	PUNCT
ejpam-6341	223	9	into	into	ADP
ejpam-6341	223	10	the	the	DET
ejpam-6341	223	11	initial	initial	ADJ
ejpam-6341	223	12	equation	equation	NOUN
ejpam-6341	223	13	of	of	ADP
ejpam-6341	223	14	(	(	PUNCT
ejpam-6341	223	15	25	25	NUM
ejpam-6341	223	16	)	)	PUNCT
ejpam-6341	223	17	to	to	PART
ejpam-6341	223	18	obtain	obtain	VERB
ejpam-6341	223	19	the	the	DET
ejpam-6341	223	20	solution	solution	NOUN
ejpam-6341	223	21	u(t	u(t	NOUN
ejpam-6341	223	22	)	)	PUNCT
ejpam-6341	223	23	=	=	NOUN
ejpam-6341	223	24	u3	u3	NOUN
ejpam-6341	223	25	1−	1−	NUM
ejpam-6341	223	26	sn2	sn2	PROPN
ejpam-6341	223	27	[	[	PUNCT
ejpam-6341	223	28	n	n	NOUN
ejpam-6341	223	29	2	2	NUM
ejpam-6341	223	30	(	(	PUNCT
ejpam-6341	223	31	t−	t−	PROPN
ejpam-6341	223	32	t0	t0	PROPN
ejpam-6341	223	33	)	)	PUNCT
ejpam-6341	223	34	,	,	PUNCT
ejpam-6341	224	1	k	k	X
ejpam-6341	224	2	]	]	PUNCT
ejpam-6341	224	3	,	,	PUNCT
ejpam-6341	224	4	(	(	PUNCT
ejpam-6341	224	5	31	31	NUM
ejpam-6341	224	6	)	)	PUNCT
ejpam-6341	224	7	with	with	ADP
ejpam-6341	224	8	period	period	NOUN
ejpam-6341	224	9	t	t	X
ejpam-6341	224	10	t	t	NOUN
ejpam-6341	224	11	=	=	SYM
ejpam-6341	224	12	2	2	NUM
ejpam-6341	224	13	n	n	PRON
ejpam-6341	224	14	sn−1(1	sn−1(1	X
ejpam-6341	224	15	,	,	PUNCT
ejpam-6341	224	16	k	k	NOUN
ejpam-6341	224	17	)	)	PUNCT
ejpam-6341	224	18	=	=	SYM
ejpam-6341	224	19	2	2	NUM
ejpam-6341	224	20	n	n	DET
ejpam-6341	224	21	k(k	k(k	PROPN
ejpam-6341	224	22	)	)	PUNCT
ejpam-6341	224	23	,	,	PUNCT
ejpam-6341	224	24	where	where	SCONJ
ejpam-6341	224	25	k(k	k(k	NOUN
ejpam-6341	224	26	)	)	PUNCT
ejpam-6341	224	27	=	=	SYM
ejpam-6341	224	28	∫	∫	PROPN
ejpam-6341	224	29	π/2	π/2	NUM
ejpam-6341	224	30	0	0	NUM
ejpam-6341	224	31	dφ√	dφ√	PROPN
ejpam-6341	224	32	1−	1−	NUM
ejpam-6341	224	33	k2	k2	PROPN
ejpam-6341	224	34	sin2	sin2	PROPN
ejpam-6341	224	35	φ	φ	PROPN
ejpam-6341	224	36	,	,	PUNCT
ejpam-6341	224	37	n	n	PROPN
ejpam-6341	224	38	=	=	SYM
ejpam-6341	224	39	√	√	PROPN
ejpam-6341	224	40	u3	u3	NOUN
ejpam-6341	224	41	−	−	PROPN
ejpam-6341	224	42	u1	u1	NOUN
ejpam-6341	224	43	,	,	PUNCT
ejpam-6341	224	44	k2	k2	ADJ
ejpam-6341	224	45	=	=	SYM
ejpam-6341	224	46	u1	u1	NOUN
ejpam-6341	224	47	u1	u1	NOUN
ejpam-6341	224	48	−	−	PROPN
ejpam-6341	224	49	u3	u3	PROPN
ejpam-6341	224	50	.	.	PUNCT
ejpam-6341	225	1	here	here	ADV
ejpam-6341	225	2	,	,	PUNCT
ejpam-6341	225	3	k(k	k(k	PROPN
ejpam-6341	225	4	)	)	PUNCT
ejpam-6341	225	5	represents	represent	VERB
ejpam-6341	225	6	a	a	DET
ejpam-6341	225	7	complete	complete	ADJ
ejpam-6341	225	8	elliptic	elliptic	ADJ
ejpam-6341	225	9	integral	integral	NOUN
ejpam-6341	225	10	of	of	ADP
ejpam-6341	225	11	the	the	DET
ejpam-6341	225	12	first	first	ADJ
ejpam-6341	225	13	kind	kind	NOUN
ejpam-6341	225	14	.	.	PUNCT
ejpam-6341	226	1	3.3	3.3	NUM
ejpam-6341	226	2	.	.	PUNCT
ejpam-6341	227	1	the	the	DET
ejpam-6341	227	2	phase	phase	NOUN
ejpam-6341	227	3	portrait	portrait	NOUN
ejpam-6341	227	4	of	of	ADP
ejpam-6341	227	5	the	the	DET
ejpam-6341	227	6	separated	separate	VERB
ejpam-6341	227	7	function	function	NOUN
ejpam-6341	227	8	let	let	VERB
ejpam-6341	227	9	the	the	DET
ejpam-6341	227	10	function	function	NOUN
ejpam-6341	227	11	f	f	PROPN
ejpam-6341	227	12	=	=	PROPN
ejpam-6341	227	13	p2	p2	PROPN
ejpam-6341	227	14	−	−	PROPN
ejpam-6341	227	15	2q3	2q3	NUM
ejpam-6341	227	16	+	+	CCONJ
ejpam-6341	227	17	8q(2h+	8q(2h+	NUM
ejpam-6341	227	18	c	c	NOUN
ejpam-6341	227	19	)	)	PUNCT
ejpam-6341	227	20	.	.	PUNCT
ejpam-6341	228	1	(	(	PUNCT
ejpam-6341	228	2	32	32	NUM
ejpam-6341	228	3	)	)	PUNCT
ejpam-6341	228	4	the	the	DET
ejpam-6341	228	5	singular	singular	ADJ
ejpam-6341	228	6	points	point	NOUN
ejpam-6341	228	7	of	of	ADP
ejpam-6341	228	8	f	f	PROPN
ejpam-6341	228	9	can	can	AUX
ejpam-6341	228	10	be	be	AUX
ejpam-6341	228	11	determined	determine	VERB
ejpam-6341	228	12	by	by	ADP
ejpam-6341	228	13	evaluating	evaluate	VERB
ejpam-6341	228	14	the	the	DET
ejpam-6341	228	15	solutions	solution	NOUN
ejpam-6341	228	16	of	of	ADP
ejpam-6341	228	17	the	the	DET
ejpam-6341	228	18	subsequent	subsequent	ADJ
ejpam-6341	228	19	equations	equation	NOUN
ejpam-6341	229	1	∂f	∂f	PROPN
ejpam-6341	229	2	∂p	∂p	VERB
ejpam-6341	229	3	=	=	PUNCT
ejpam-6341	229	4	2p	2p	NUM
ejpam-6341	229	5	=	=	SYM
ejpam-6341	229	6	0	0	NUM
ejpam-6341	229	7	,	,	PUNCT
ejpam-6341	229	8	∂f	∂f	PROPN
ejpam-6341	229	9	∂q	∂q	NOUN
ejpam-6341	229	10	=	=	SYM
ejpam-6341	229	11	−6q2	−6q2	PUNCT
ejpam-6341	230	1	+	+	CCONJ
ejpam-6341	230	2	8(2h+	8(2h+	NUM
ejpam-6341	230	3	c	c	X
ejpam-6341	230	4	)	)	PUNCT
ejpam-6341	230	5	=	=	SYM
ejpam-6341	230	6	0	0	X
ejpam-6341	230	7	.	.	PUNCT
ejpam-6341	231	1	(	(	PUNCT
ejpam-6341	231	2	33	33	NUM
ejpam-6341	231	3	)	)	PUNCT
ejpam-6341	231	4	table	table	NOUN
ejpam-6341	231	5	8	8	NUM
ejpam-6341	231	6	:	:	PUNCT
ejpam-6341	231	7	topological	topological	ADJ
ejpam-6341	231	8	kind	kind	NOUN
ejpam-6341	231	9	of	of	ADV
ejpam-6341	231	10	as	as	ADP
ejpam-6341	231	11	on	on	ADP
ejpam-6341	231	12	g.	g.	PROPN
ejpam-6341	231	13	curve	curve	PROPN
ejpam-6341	231	14	∆1	∆1	PROPN
ejpam-6341	231	15	∆2	∆2	NOUN
ejpam-6341	232	1	ls	ls	PROPN
ejpam-6341	233	1	=	=	X
ejpam-6341	233	2	∆1	∆1	PROPN
ejpam-6341	233	3	×∆2	×∆2	PROPN
ejpam-6341	233	4	c1	c1	NOUN
ejpam-6341	233	5	[	[	X
ejpam-6341	233	6	0	0	NUM
ejpam-6341	233	7	,	,	PUNCT
ejpam-6341	233	8	u3	u3	NOUN
ejpam-6341	233	9	]	]	PUNCT
ejpam-6341	234	1	[	[	X
ejpam-6341	234	2	v1	v1	NOUN
ejpam-6341	234	3	=	=	SYM
ejpam-6341	234	4	0	0	NUM
ejpam-6341	234	5	]	]	X
ejpam-6341	234	6	s	s	X
ejpam-6341	234	7	c2	c2	PROPN
ejpam-6341	234	8	[	[	X
ejpam-6341	234	9	0	0	NUM
ejpam-6341	234	10	,	,	PUNCT
ejpam-6341	234	11	u3	u3	NOUN
ejpam-6341	234	12	]	]	PUNCT
ejpam-6341	235	1	[	[	X
ejpam-6341	235	2	v1	v1	NOUN
ejpam-6341	235	3	,	,	PUNCT
ejpam-6341	235	4	0	0	NUM
ejpam-6341	235	5	]	]	X
ejpam-6341	235	6	s	s	X
ejpam-6341	235	7	×	×	NOUN
ejpam-6341	235	8	(	(	PUNCT
ejpam-6341	235	9	s	s	PROPN
ejpam-6341	235	10	∧	∧	PROPN
ejpam-6341	235	11	s	s	PART
ejpam-6341	235	12	)	)	PUNCT
ejpam-6341	235	13	t.	t.	PROPN
ejpam-6341	235	14	s.	s.	PROPN
ejpam-6341	235	15	amer	amer	PROPN
ejpam-6341	235	16	et	et	PROPN
ejpam-6341	235	17	al	al	PROPN
ejpam-6341	235	18	.	.	PUNCT
ejpam-6341	235	19	/	/	SYM
ejpam-6341	235	20	eur	eur	PROPN
ejpam-6341	235	21	.	.	PUNCT
ejpam-6341	236	1	j.	j.	PROPN
ejpam-6341	236	2	pure	pure	PROPN
ejpam-6341	236	3	appl	appl	PROPN
ejpam-6341	236	4	.	.	PROPN
ejpam-6341	236	5	math	math	PROPN
ejpam-6341	236	6	,	,	PUNCT
ejpam-6341	236	7	18	18	NUM
ejpam-6341	236	8	(	(	PUNCT
ejpam-6341	236	9	3	3	NUM
ejpam-6341	236	10	)	)	PUNCT
ejpam-6341	236	11	(	(	PUNCT
ejpam-6341	236	12	2025	2025	NUM
ejpam-6341	236	13	)	)	PUNCT
ejpam-6341	236	14	,	,	PUNCT
ejpam-6341	236	15	6341	6341	NUM
ejpam-6341	236	16	14	14	NUM
ejpam-6341	236	17	of	of	ADP
ejpam-6341	236	18	22	22	NUM
ejpam-6341	236	19	figure	figure	NOUN
ejpam-6341	236	20	6	6	NUM
ejpam-6341	236	21	:	:	PUNCT
ejpam-6341	236	22	the	the	DET
ejpam-6341	236	23	ltb	ltb	PROPN
ejpam-6341	236	24	.	.	PUNCT
ejpam-6341	236	25	figure	figure	VERB
ejpam-6341	236	26	7	7	NUM
ejpam-6341	236	27	:	:	PUNCT
ejpam-6341	236	28	the	the	DET
ejpam-6341	236	29	relation	relation	NOUN
ejpam-6341	236	30	between	between	ADP
ejpam-6341	236	31	invariant	invariant	ADJ
ejpam-6341	236	32	ltb	ltb	NOUN
ejpam-6341	236	33	and	and	CCONJ
ejpam-6341	236	34	bifurcations	bifurcation	NOUN
ejpam-6341	236	35	of	of	ADP
ejpam-6341	236	36	roots	root	NOUN
ejpam-6341	236	37	of	of	ADP
ejpam-6341	236	38	p1(u	p1(u	NOUN
ejpam-6341	236	39	)	)	PUNCT
ejpam-6341	236	40	and	and	CCONJ
ejpam-6341	236	41	p2(v	p2(v	NOUN
ejpam-6341	236	42	)	)	PUNCT
ejpam-6341	236	43	.	.	PUNCT
ejpam-6341	237	1	from	from	ADP
ejpam-6341	237	2	equation	equation	NOUN
ejpam-6341	237	3	(	(	PUNCT
ejpam-6341	237	4	33	33	NUM
ejpam-6341	237	5	)	)	PUNCT
ejpam-6341	237	6	we	we	PRON
ejpam-6341	237	7	have	have	VERB
ejpam-6341	237	8	p	p	NOUN
ejpam-6341	237	9	=	=	SYM
ejpam-6341	237	10	0	0	NUM
ejpam-6341	237	11	,	,	PUNCT
ejpam-6341	237	12	or	or	CCONJ
ejpam-6341	237	13	q	q	NOUN
ejpam-6341	237	14	=	=	SYM
ejpam-6341	237	15	±	±	NOUN
ejpam-6341	237	16	√	√	NOUN
ejpam-6341	237	17	8(2h+	8(2h+	NUM
ejpam-6341	238	1	c	c	X
ejpam-6341	238	2	)	)	PUNCT
ejpam-6341	238	3	6	6	NUM
ejpam-6341	238	4	.	.	PUNCT
ejpam-6341	239	1	then	then	ADV
ejpam-6341	239	2	,	,	PUNCT
ejpam-6341	239	3	the	the	DET
ejpam-6341	239	4	two	two	NUM
ejpam-6341	239	5	singular	singular	ADJ
ejpam-6341	239	6	points	point	NOUN
ejpam-6341	239	7	(	(	PUNCT
ejpam-6341	239	8	0	0	NUM
ejpam-6341	239	9	,	,	PUNCT
ejpam-6341	239	10	√	√	NOUN
ejpam-6341	239	11	8(2h+c	8(2h+c	NUM
ejpam-6341	239	12	)	)	PUNCT
ejpam-6341	239	13	6	6	NUM
ejpam-6341	239	14	)	)	PUNCT
ejpam-6341	239	15	,	,	PUNCT
ejpam-6341	239	16	(	(	PUNCT
ejpam-6341	239	17	0,−	0,−	NUM
ejpam-6341	239	18	√	√	NUM
ejpam-6341	239	19	8(2h+c	8(2h+c	NUM
ejpam-6341	239	20	)	)	PUNCT
ejpam-6341	239	21	6	6	NUM
ejpam-6341	239	22	)	)	PUNCT
ejpam-6341	239	23	.	.	PUNCT
ejpam-6341	240	1	to	to	PART
ejpam-6341	240	2	identify	identify	VERB
ejpam-6341	240	3	the	the	DET
ejpam-6341	240	4	types	type	NOUN
ejpam-6341	240	5	of	of	ADP
ejpam-6341	240	6	points	point	NOUN
ejpam-6341	240	7	,	,	PUNCT
ejpam-6341	240	8	we	we	PRON
ejpam-6341	240	9	employ	employ	VERB
ejpam-6341	240	10	the	the	DET
ejpam-6341	240	11	methodology	methodology	NOUN
ejpam-6341	240	12	outlined	outline	VERB
ejpam-6341	240	13	in	in	ADP
ejpam-6341	240	14	subsection	subsection	NOUN
ejpam-6341	240	15	2.3	2.3	NUM
ejpam-6341	240	16	,	,	PUNCT
ejpam-6341	240	17	yielding	yield	VERB
ejpam-6341	240	18	the	the	DET
ejpam-6341	240	19	subsequent	subsequent	ADJ
ejpam-6341	240	20	findings	finding	NOUN
ejpam-6341	240	21	(	(	PUNCT
ejpam-6341	240	22	i	i	NOUN
ejpam-6341	240	23	)	)	PUNCT
ejpam-6341	240	24	the	the	DET
ejpam-6341	240	25	point	point	NOUN
ejpam-6341	240	26	(	(	PUNCT
ejpam-6341	240	27	0	0	NUM
ejpam-6341	240	28	,	,	PUNCT
ejpam-6341	240	29	√	√	NOUN
ejpam-6341	240	30	8(2h+c	8(2h+c	NUM
ejpam-6341	240	31	)	)	PUNCT
ejpam-6341	240	32	6	6	NUM
ejpam-6341	240	33	)	)	PUNCT
ejpam-6341	240	34	is	be	AUX
ejpam-6341	240	35	hyperbolic	hyperbolic	ADJ
ejpam-6341	240	36	,	,	PUNCT
ejpam-6341	240	37	where	where	SCONJ
ejpam-6341	240	38	j	j	PROPN
ejpam-6341	240	39	=	=	SYM
ejpam-6341	240	40	gxxgyy	gxxgyy	NOUN
ejpam-6341	240	41	−gxygyx	−gxygyx	X
ejpam-6341	240	42	<	<	X
ejpam-6341	240	43	0	0	NUM
ejpam-6341	240	44	,	,	PUNCT
ejpam-6341	240	45	(	(	PUNCT
ejpam-6341	240	46	ii	ii	NOUN
ejpam-6341	240	47	)	)	PUNCT
ejpam-6341	240	48	the	the	DET
ejpam-6341	240	49	point	point	NOUN
ejpam-6341	240	50	(	(	PUNCT
ejpam-6341	240	51	0,−	0,−	NUM
ejpam-6341	240	52	√	√	NUM
ejpam-6341	240	53	8(2h+c	8(2h+c	NUM
ejpam-6341	240	54	)	)	PUNCT
ejpam-6341	240	55	6	6	NUM
ejpam-6341	240	56	)	)	PUNCT
ejpam-6341	240	57	is	be	AUX
ejpam-6341	240	58	elliptic	elliptic	ADJ
ejpam-6341	240	59	,	,	PUNCT
ejpam-6341	240	60	where	where	SCONJ
ejpam-6341	240	61	j	j	PROPN
ejpam-6341	240	62	=	=	SYM
ejpam-6341	240	63	gxxgyy	gxxgyy	NOUN
ejpam-6341	240	64	−gxygyx	−gxygyx	X
ejpam-6341	240	65	>	>	X
ejpam-6341	240	66	0	0	NUM
ejpam-6341	240	67	,	,	PUNCT
ejpam-6341	240	68	as	as	SCONJ
ejpam-6341	240	69	plotted	plot	VERB
ejpam-6341	240	70	in	in	ADP
ejpam-6341	240	71	figure	figure	NOUN
ejpam-6341	240	72	8	8	NUM
ejpam-6341	240	73	.	.	NOUN
ejpam-6341	241	1	4	4	NUM
ejpam-6341	241	2	.	.	X
ejpam-6341	241	3	periodic	periodic	ADJ
ejpam-6341	241	4	solutions	solution	NOUN
ejpam-6341	241	5	by	by	ADP
ejpam-6341	241	6	applying	apply	VERB
ejpam-6341	241	7	lyapunov	lyapunov	PROPN
ejpam-6341	241	8	’s	’s	PART
ejpam-6341	241	9	method	method	NOUN
ejpam-6341	241	10	the	the	DET
ejpam-6341	241	11	ps	ps	NOUN
ejpam-6341	241	12	close	close	ADV
ejpam-6341	241	13	to	to	ADP
ejpam-6341	241	14	the	the	DET
ejpam-6341	241	15	equilibrium	equilibrium	NOUN
ejpam-6341	241	16	positions	position	NOUN
ejpam-6341	241	17	of	of	ADP
ejpam-6341	241	18	the	the	DET
ejpam-6341	241	19	systems	system	NOUN
ejpam-6341	241	20	(	(	PUNCT
ejpam-6341	241	21	1	1	NUM
ejpam-6341	241	22	)	)	PUNCT
ejpam-6341	241	23	and	and	CCONJ
ejpam-6341	241	24	(	(	PUNCT
ejpam-6341	241	25	21	21	NUM
ejpam-6341	241	26	)	)	PUNCT
ejpam-6341	241	27	are	be	AUX
ejpam-6341	241	28	introduced	introduce	VERB
ejpam-6341	241	29	by	by	ADP
ejpam-6341	241	30	using	use	VERB
ejpam-6341	241	31	lyapunov	lyapunov	PROPN
ejpam-6341	241	32	’s	’s	PART
ejpam-6341	241	33	method	method	NOUN
ejpam-6341	241	34	[	[	X
ejpam-6341	241	35	42	42	NUM
ejpam-6341	241	36	]	]	PUNCT
ejpam-6341	241	37	.	.	PUNCT
ejpam-6341	242	1	many	many	ADJ
ejpam-6341	242	2	scientific	scientific	ADJ
ejpam-6341	242	3	articles	article	NOUN
ejpam-6341	242	4	study	study	VERB
ejpam-6341	242	5	this	this	DET
ejpam-6341	242	6	method	method	NOUN
ejpam-6341	242	7	.	.	PUNCT
ejpam-6341	243	1	the	the	DET
ejpam-6341	243	2	problem	problem	NOUN
ejpam-6341	243	3	t.	t.	PROPN
ejpam-6341	243	4	s.	s.	PROPN
ejpam-6341	243	5	amer	amer	PROPN
ejpam-6341	243	6	et	et	PROPN
ejpam-6341	243	7	al	al	PROPN
ejpam-6341	243	8	.	.	PUNCT
ejpam-6341	243	9	/	/	SYM
ejpam-6341	243	10	eur	eur	PROPN
ejpam-6341	243	11	.	.	PUNCT
ejpam-6341	244	1	j.	j.	PROPN
ejpam-6341	244	2	pure	pure	PROPN
ejpam-6341	244	3	appl	appl	PROPN
ejpam-6341	244	4	.	.	PROPN
ejpam-6341	244	5	math	math	PROPN
ejpam-6341	244	6	,	,	PUNCT
ejpam-6341	244	7	18	18	NUM
ejpam-6341	244	8	(	(	PUNCT
ejpam-6341	244	9	3	3	NUM
ejpam-6341	244	10	)	)	PUNCT
ejpam-6341	244	11	(	(	PUNCT
ejpam-6341	244	12	2025	2025	NUM
ejpam-6341	244	13	)	)	PUNCT
ejpam-6341	244	14	,	,	PUNCT
ejpam-6341	244	15	6341	6341	NUM
ejpam-6341	244	16	15	15	NUM
ejpam-6341	244	17	of	of	ADP
ejpam-6341	244	18	22	22	NUM
ejpam-6341	244	19	figure	figure	NOUN
ejpam-6341	244	20	8	8	NUM
ejpam-6341	244	21	:	:	PUNCT
ejpam-6341	244	22	the	the	DET
ejpam-6341	244	23	elliptic	elliptic	ADJ
ejpam-6341	244	24	point	point	NOUN
ejpam-6341	244	25	(	(	PUNCT
ejpam-6341	244	26	0,−	0,−	NUM
ejpam-6341	244	27	√	√	NUM
ejpam-6341	244	28	8(2h+c	8(2h+c	NUM
ejpam-6341	244	29	)	)	PUNCT
ejpam-6341	244	30	6	6	NUM
ejpam-6341	244	31	)	)	PUNCT
ejpam-6341	244	32	and	and	CCONJ
ejpam-6341	244	33	the	the	DET
ejpam-6341	244	34	hyperbolic	hyperbolic	ADJ
ejpam-6341	244	35	point	point	NOUN
ejpam-6341	244	36	(	(	PUNCT
ejpam-6341	244	37	0	0	NUM
ejpam-6341	244	38	,	,	PUNCT
ejpam-6341	244	39	√	√	NOUN
ejpam-6341	244	40	8(2h+c	8(2h+c	NUM
ejpam-6341	244	41	)	)	PUNCT
ejpam-6341	244	42	6	6	NUM
ejpam-6341	244	43	)	)	PUNCT
ejpam-6341	244	44	.	.	PUNCT
ejpam-6341	245	1	of	of	ADP
ejpam-6341	245	2	rotating	rotate	VERB
ejpam-6341	245	3	rb	rb	NOUN
ejpam-6341	245	4	around	around	ADP
ejpam-6341	245	5	a	a	DET
ejpam-6341	245	6	fixed	fix	VERB
ejpam-6341	245	7	point	point	NOUN
ejpam-6341	245	8	is	be	AUX
ejpam-6341	245	9	studied	study	VERB
ejpam-6341	245	10	in	in	ADP
ejpam-6341	245	11	[	[	X
ejpam-6341	245	12	43–56	43–56	X
ejpam-6341	245	13	]	]	PUNCT
ejpam-6341	245	14	.	.	PUNCT
ejpam-6341	246	1	in	in	ADP
ejpam-6341	246	2	[	[	X
ejpam-6341	246	3	44	44	NUM
ejpam-6341	246	4	]	]	PUNCT
ejpam-6341	246	5	,	,	PUNCT
ejpam-6341	246	6	a	a	DET
ejpam-6341	246	7	new	new	ADJ
ejpam-6341	246	8	approach	approach	NOUN
ejpam-6341	246	9	to	to	PART
ejpam-6341	246	10	solve	solve	VERB
ejpam-6341	246	11	the	the	DET
ejpam-6341	246	12	rb	rb	ADJ
ejpam-6341	246	13	problem	problem	NOUN
ejpam-6341	246	14	with	with	ADP
ejpam-6341	246	15	constant	constant	ADJ
ejpam-6341	246	16	body	body	NOUN
ejpam-6341	246	17	torques	torque	NOUN
ejpam-6341	246	18	.	.	PUNCT
ejpam-6341	247	1	in	in	ADP
ejpam-6341	247	2	[	[	X
ejpam-6341	247	3	45	45	NUM
ejpam-6341	247	4	]	]	PUNCT
ejpam-6341	247	5	,	,	PUNCT
ejpam-6341	247	6	the	the	DET
ejpam-6341	247	7	authors	author	NOUN
ejpam-6341	247	8	decoupled	decouple	VERB
ejpam-6341	247	9	the	the	DET
ejpam-6341	247	10	euler	euler	NOUN
ejpam-6341	247	11	equations	equation	NOUN
ejpam-6341	247	12	and	and	CCONJ
ejpam-6341	247	13	solved	solve	VERB
ejpam-6341	247	14	them	they	PRON
ejpam-6341	247	15	with	with	ADP
ejpam-6341	247	16	gyrostatic	gyrostatic	ADJ
ejpam-6341	247	17	impact	impact	NOUN
ejpam-6341	247	18	.	.	PUNCT
ejpam-6341	248	1	in	in	ADP
ejpam-6341	248	2	[	[	X
ejpam-6341	248	3	46	46	NUM
ejpam-6341	248	4	]	]	PUNCT
ejpam-6341	248	5	,	,	PUNCT
ejpam-6341	248	6	the	the	DET
ejpam-6341	248	7	problem	problem	NOUN
ejpam-6341	248	8	is	be	AUX
ejpam-6341	248	9	solved	solve	VERB
ejpam-6341	248	10	with	with	ADP
ejpam-6341	248	11	time	time	NOUN
ejpam-6341	248	12	-	-	PUNCT
ejpam-6341	248	13	varying	vary	VERB
ejpam-6341	248	14	constant	constant	ADJ
ejpam-6341	248	15	body	body	NOUN
ejpam-6341	248	16	torques	torque	NOUN
ejpam-6341	248	17	.	.	PUNCT
ejpam-6341	249	1	in	in	ADP
ejpam-6341	249	2	[	[	X
ejpam-6341	249	3	51	51	NUM
ejpam-6341	249	4	,	,	PUNCT
ejpam-6341	249	5	52	52	NUM
ejpam-6341	249	6	]	]	PUNCT
ejpam-6341	249	7	,	,	PUNCT
ejpam-6341	249	8	the	the	DET
ejpam-6341	249	9	author	author	NOUN
ejpam-6341	249	10	obtained	obtain	VERB
ejpam-6341	249	11	the	the	DET
ejpam-6341	249	12	ps	ps	PROPN
ejpam-6341	249	13	with	with	ADP
ejpam-6341	249	14	the	the	DET
ejpam-6341	249	15	energy	energy	NOUN
ejpam-6341	249	16	dissipation	dissipation	NOUN
ejpam-6341	249	17	that	that	PRON
ejpam-6341	249	18	influences	influence	VERB
ejpam-6341	249	19	the	the	DET
ejpam-6341	249	20	motion	motion	NOUN
ejpam-6341	249	21	.	.	PUNCT
ejpam-6341	250	1	for	for	ADP
ejpam-6341	250	2	the	the	DET
ejpam-6341	250	3	case	case	NOUN
ejpam-6341	250	4	of	of	ADP
ejpam-6341	250	5	generalized	generalized	ADJ
ejpam-6341	250	6	hh	hh	NOUN
ejpam-6341	250	7	:	:	PUNCT
ejpam-6341	250	8	the	the	DET
ejpam-6341	250	9	governing	govern	VERB
ejpam-6341	250	10	equations	equation	NOUN
ejpam-6341	250	11	for	for	ADP
ejpam-6341	250	12	the	the	DET
ejpam-6341	250	13	hamiltonian	hamiltonian	NOUN
ejpam-6341	250	14	(	(	PUNCT
ejpam-6341	250	15	1	1	X
ejpam-6341	250	16	)	)	PUNCT
ejpam-6341	250	17	governing	govern	VERB
ejpam-6341	250	18	by	by	ADP
ejpam-6341	250	19	the	the	DET
ejpam-6341	250	20	pf	pf	PROPN
ejpam-6341	250	21	v	v	NOUN
ejpam-6341	250	22	are	be	AUX
ejpam-6341	250	23	given	give	VERB
ejpam-6341	250	24	by	by	ADP
ejpam-6341	250	25	ẍ	ẍ	X
ejpam-6341	251	1	+	+	PROPN
ejpam-6341	251	2	vx	vx	PROPN
ejpam-6341	251	3	=	=	SYM
ejpam-6341	251	4	0	0	PROPN
ejpam-6341	251	5	,	,	PUNCT
ejpam-6341	251	6	ÿ	ÿ	PROPN
ejpam-6341	251	7	+	+	CCONJ
ejpam-6341	251	8	vy	vy	X
ejpam-6341	251	9	=	=	NOUN
ejpam-6341	251	10	0	0	NUM
ejpam-6341	251	11	,	,	PUNCT
ejpam-6341	251	12	(	(	PUNCT
ejpam-6341	251	13	34	34	NUM
ejpam-6341	251	14	)	)	PUNCT
ejpam-6341	251	15	with	with	ADP
ejpam-6341	251	16	the	the	DET
ejpam-6341	251	17	integral	integral	ADJ
ejpam-6341	251	18	related	relate	VERB
ejpam-6341	251	19	with	with	ADP
ejpam-6341	251	20	energy	energy	NOUN
ejpam-6341	251	21	1	1	NUM
ejpam-6341	251	22	2	2	NUM
ejpam-6341	251	23	(	(	PUNCT
ejpam-6341	251	24	ẋ2	ẋ2	X
ejpam-6341	252	1	+	+	NOUN
ejpam-6341	252	2	ẏ	ẏ	PROPN
ejpam-6341	252	3	2	2	NUM
ejpam-6341	252	4	)	)	PUNCT
ejpam-6341	252	5	+	+	CCONJ
ejpam-6341	252	6	v	v	X
ejpam-6341	252	7	=	=	PUNCT
ejpam-6341	252	8	h.	h.	PROPN
ejpam-6341	252	9	(	(	PUNCT
ejpam-6341	252	10	35	35	NUM
ejpam-6341	252	11	)	)	PUNCT
ejpam-6341	252	12	the	the	DET
ejpam-6341	252	13	equilibrium	equilibrium	NOUN
ejpam-6341	252	14	points	point	NOUN
ejpam-6341	252	15	(	(	PUNCT
ejpam-6341	252	16	xp	xp	INTJ
ejpam-6341	252	17	,	,	PUNCT
ejpam-6341	252	18	yp	yp	PROPN
ejpam-6341	252	19	)	)	PUNCT
ejpam-6341	252	20	can	can	AUX
ejpam-6341	252	21	be	be	AUX
ejpam-6341	252	22	obtained	obtain	VERB
ejpam-6341	252	23	by	by	ADP
ejpam-6341	252	24	solving	solve	VERB
ejpam-6341	252	25	the	the	DET
ejpam-6341	252	26	equations	equation	NOUN
ejpam-6341	252	27	vx	vx	X
ejpam-6341	252	28	=	=	PROPN
ejpam-6341	252	29	vy	vy	X
ejpam-6341	252	30	=	=	NOUN
ejpam-6341	252	31	0	0	PROPN
ejpam-6341	252	32	,	,	PUNCT
ejpam-6341	252	33	such	such	ADJ
ejpam-6341	252	34	that	that	SCONJ
ejpam-6341	252	35	for	for	ADP
ejpam-6341	252	36	each	each	DET
ejpam-6341	252	37	point	point	NOUN
ejpam-6341	252	38	the	the	DET
ejpam-6341	252	39	equation	equation	NOUN
ejpam-6341	252	40	(	(	PUNCT
ejpam-6341	252	41	35	35	NUM
ejpam-6341	252	42	)	)	PUNCT
ejpam-6341	252	43	gives	give	VERB
ejpam-6341	252	44	the	the	DET
ejpam-6341	252	45	initial	initial	ADJ
ejpam-6341	252	46	value	value	NOUN
ejpam-6341	252	47	of	of	ADP
ejpam-6341	252	48	the	the	DET
ejpam-6341	252	49	energy	energy	NOUN
ejpam-6341	252	50	constant	constant	ADJ
ejpam-6341	252	51	h.	h.	NOUN
ejpam-6341	252	52	inserting	insert	VERB
ejpam-6341	252	53	x	x	PUNCT
ejpam-6341	253	1	=	=	PUNCT
ejpam-6341	253	2	xp	xp	PROPN
ejpam-6341	254	1	+	+	SYM
ejpam-6341	254	2	ξ	ξ	PROPN
ejpam-6341	254	3	,	,	PUNCT
ejpam-6341	254	4	y	y	NOUN
ejpam-6341	254	5	=	=	PUNCT
ejpam-6341	254	6	ypη	ypη	PROPN
ejpam-6341	254	7	in	in	ADP
ejpam-6341	254	8	equation	equation	NOUN
ejpam-6341	254	9	(	(	PUNCT
ejpam-6341	254	10	34	34	NUM
ejpam-6341	254	11	)	)	PUNCT
ejpam-6341	254	12	to	to	PART
ejpam-6341	254	13	investigate	investigate	VERB
ejpam-6341	254	14	the	the	DET
ejpam-6341	254	15	disturbance	disturbance	NOUN
ejpam-6341	254	16	motion	motion	NOUN
ejpam-6341	254	17	around	around	ADP
ejpam-6341	254	18	the	the	DET
ejpam-6341	254	19	equilibrium	equilibrium	NOUN
ejpam-6341	254	20	points	point	NOUN
ejpam-6341	254	21	.	.	PUNCT
ejpam-6341	255	1	after	after	ADP
ejpam-6341	255	2	some	some	DET
ejpam-6341	255	3	adjustments	adjustment	NOUN
ejpam-6341	255	4	,	,	PUNCT
ejpam-6341	255	5	the	the	DET
ejpam-6341	255	6	following	follow	VERB
ejpam-6341	255	7	differential	differential	ADJ
ejpam-6341	255	8	equations	equation	NOUN
ejpam-6341	255	9	may	may	AUX
ejpam-6341	255	10	be	be	AUX
ejpam-6341	255	11	obtained	obtain	VERB
ejpam-6341	255	12	ξ̈	ξ̈	NOUN
ejpam-6341	256	1	+	+	NUM
ejpam-6341	256	2	lξ	lξ	NOUN
ejpam-6341	256	3	+	+	NOUN
ejpam-6341	256	4	mη	mη	NOUN
ejpam-6341	256	5	=	=	SYM
ejpam-6341	256	6	0	0	NUM
ejpam-6341	256	7	,	,	PUNCT
ejpam-6341	256	8	η̈	η̈	PROPN
ejpam-6341	256	9	+	+	PROPN
ejpam-6341	256	10	nη	nη	PROPN
ejpam-6341	256	11	+	+	ADJ
ejpam-6341	256	12	mξ	mξ	NOUN
ejpam-6341	256	13	=	=	SYM
ejpam-6341	256	14	0	0	NUM
ejpam-6341	256	15	,	,	PUNCT
ejpam-6341	256	16	(	(	PUNCT
ejpam-6341	256	17	36	36	NUM
ejpam-6341	256	18	)	)	PUNCT
ejpam-6341	256	19	where	where	SCONJ
ejpam-6341	256	20	vxx(xp	vxx(xp	NOUN
ejpam-6341	256	21	,	,	PUNCT
ejpam-6341	256	22	yp	yp	NOUN
ejpam-6341	256	23	)	)	PUNCT
ejpam-6341	257	1	=	=	SYM
ejpam-6341	257	2	l	l	NOUN
ejpam-6341	257	3	,	,	PUNCT
ejpam-6341	257	4	vy	vy	NOUN
ejpam-6341	257	5	y	y	PROPN
ejpam-6341	257	6	(	(	PUNCT
ejpam-6341	257	7	xp	xp	PROPN
ejpam-6341	257	8	,	,	PUNCT
ejpam-6341	257	9	yp	yp	PROPN
ejpam-6341	257	10	)	)	PUNCT
ejpam-6341	257	11	=	=	SYM
ejpam-6341	257	12	n	n	CCONJ
ejpam-6341	257	13	,	,	PUNCT
ejpam-6341	257	14	vxy	vxy	VERB
ejpam-6341	257	15	(	(	PUNCT
ejpam-6341	257	16	xp	xp	INTJ
ejpam-6341	257	17	,	,	PUNCT
ejpam-6341	257	18	yp	yp	PROPN
ejpam-6341	257	19	)	)	PUNCT
ejpam-6341	257	20	=	=	SYM
ejpam-6341	258	1	m	m	VERB
ejpam-6341	258	2	.	.	PUNCT
ejpam-6341	259	1	introducing	introduce	VERB
ejpam-6341	259	2	the	the	DET
ejpam-6341	259	3	time	time	NOUN
ejpam-6341	259	4	transformation	transformation	NOUN
ejpam-6341	259	5	u	u	NOUN
ejpam-6341	259	6	=	=	X
ejpam-6341	259	7	νt	νt	PROPN
ejpam-6341	259	8	,	,	PUNCT
ejpam-6341	259	9	(	(	PUNCT
ejpam-6341	259	10	37	37	NUM
ejpam-6341	259	11	)	)	PUNCT
ejpam-6341	259	12	then	then	ADV
ejpam-6341	259	13	,	,	PUNCT
ejpam-6341	259	14	the	the	DET
ejpam-6341	259	15	equations	equation	NOUN
ejpam-6341	259	16	(	(	PUNCT
ejpam-6341	259	17	36	36	NUM
ejpam-6341	259	18	)	)	PUNCT
ejpam-6341	259	19	become	become	VERB
ejpam-6341	259	20	ν2	ν2	ADJ
ejpam-6341	259	21	d2ξ	d2ξ	PROPN
ejpam-6341	259	22	du2	du2	NOUN
ejpam-6341	260	1	+	+	CCONJ
ejpam-6341	260	2	lξ	lξ	NOUN
ejpam-6341	260	3	+	+	NOUN
ejpam-6341	260	4	mη	mη	NOUN
ejpam-6341	260	5	=	=	SYM
ejpam-6341	260	6	0	0	NUM
ejpam-6341	260	7	,	,	PUNCT
ejpam-6341	260	8	ν2	ν2	NOUN
ejpam-6341	260	9	d2η	d2η	ADJ
ejpam-6341	260	10	du2	du2	NOUN
ejpam-6341	261	1	+	+	ADP
ejpam-6341	261	2	nη	nη	PROPN
ejpam-6341	261	3	+	+	ADJ
ejpam-6341	261	4	mξ	mξ	NOUN
ejpam-6341	261	5	=	=	SYM
ejpam-6341	261	6	0	0	PROPN
ejpam-6341	261	7	.	.	PUNCT
ejpam-6341	262	1	(	(	PUNCT
ejpam-6341	262	2	38	38	NUM
ejpam-6341	262	3	)	)	PUNCT
ejpam-6341	262	4	we	we	PRON
ejpam-6341	262	5	consider	consider	VERB
ejpam-6341	262	6	the	the	DET
ejpam-6341	262	7	solution	solution	NOUN
ejpam-6341	262	8	of	of	ADP
ejpam-6341	262	9	the	the	DET
ejpam-6341	262	10	system	system	NOUN
ejpam-6341	262	11	(	(	PUNCT
ejpam-6341	262	12	38	38	NUM
ejpam-6341	262	13	)	)	PUNCT
ejpam-6341	262	14	as	as	ADP
ejpam-6341	262	15	ξ	ξ	X
ejpam-6341	262	16	=	=	SYM
ejpam-6341	262	17	∞∑	∞∑	NUM
ejpam-6341	262	18	j=1	j=1	NOUN
ejpam-6341	262	19	εjx(j	εjx(j	PROPN
ejpam-6341	262	20	)	)	PUNCT
ejpam-6341	262	21	,	,	PUNCT
ejpam-6341	262	22	η	η	X
ejpam-6341	262	23	=	=	PROPN
ejpam-6341	262	24	∞∑	∞∑	NUM
ejpam-6341	262	25	j=1	j=1	ADJ
ejpam-6341	262	26	εjy	εjy	NOUN
ejpam-6341	262	27	(	(	PUNCT
ejpam-6341	262	28	j	j	PROPN
ejpam-6341	262	29	)	)	PUNCT
ejpam-6341	262	30	,	,	PUNCT
ejpam-6341	262	31	h	h	NOUN
ejpam-6341	262	32	=	=	PROPN
ejpam-6341	262	33	h0	h0	PROPN
ejpam-6341	262	34	+	+	NOUN
ejpam-6341	262	35	∞∑	∞∑	PROPN
ejpam-6341	262	36	j=2	j=2	NOUN
ejpam-6341	262	37	εjh(j	εjh(j	PROPN
ejpam-6341	262	38	)	)	PUNCT
ejpam-6341	262	39	,	,	PUNCT
ejpam-6341	262	40	(	(	PUNCT
ejpam-6341	262	41	39	39	NUM
ejpam-6341	262	42	)	)	PUNCT
ejpam-6341	262	43	t.	t.	PROPN
ejpam-6341	262	44	s.	s.	PROPN
ejpam-6341	262	45	amer	amer	PROPN
ejpam-6341	262	46	et	et	PROPN
ejpam-6341	262	47	al	al	PROPN
ejpam-6341	262	48	.	.	PUNCT
ejpam-6341	262	49	/	/	SYM
ejpam-6341	262	50	eur	eur	PROPN
ejpam-6341	262	51	.	.	PUNCT
ejpam-6341	263	1	j.	j.	PROPN
ejpam-6341	263	2	pure	pure	PROPN
ejpam-6341	263	3	appl	appl	PROPN
ejpam-6341	263	4	.	.	PROPN
ejpam-6341	263	5	math	math	PROPN
ejpam-6341	263	6	,	,	PUNCT
ejpam-6341	263	7	18	18	NUM
ejpam-6341	263	8	(	(	PUNCT
ejpam-6341	263	9	3	3	NUM
ejpam-6341	263	10	)	)	PUNCT
ejpam-6341	263	11	(	(	PUNCT
ejpam-6341	263	12	2025	2025	NUM
ejpam-6341	263	13	)	)	PUNCT
ejpam-6341	263	14	,	,	PUNCT
ejpam-6341	263	15	6341	6341	NUM
ejpam-6341	263	16	16	16	NUM
ejpam-6341	263	17	of	of	ADP
ejpam-6341	263	18	22	22	NUM
ejpam-6341	263	19	where	where	SCONJ
ejpam-6341	263	20	h(j	h(j	NOUN
ejpam-6341	263	21	)	)	PUNCT
ejpam-6341	263	22	represent	represent	VERB
ejpam-6341	263	23	constants	constant	NOUN
ejpam-6341	263	24	and	and	CCONJ
ejpam-6341	263	25	x(j	x(j	PROPN
ejpam-6341	263	26	)	)	PUNCT
ejpam-6341	263	27	,	,	PUNCT
ejpam-6341	263	28	y	y	PROPN
ejpam-6341	263	29	(	(	PUNCT
ejpam-6341	263	30	j	j	NOUN
ejpam-6341	263	31	)	)	PUNCT
ejpam-6341	263	32	express	express	VERB
ejpam-6341	263	33	about	about	ADP
ejpam-6341	263	34	t	t	NOUN
ejpam-6341	263	35	-periodic	-periodic	ADJ
ejpam-6341	263	36	functions	function	NOUN
ejpam-6341	263	37	of	of	ADP
ejpam-6341	263	38	t	t	PROPN
ejpam-6341	263	39	with	with	ADP
ejpam-6341	263	40	the	the	DET
ejpam-6341	263	41	frequency	frequency	NOUN
ejpam-6341	263	42	ν	ν	NOUN
ejpam-6341	263	43	that	that	PRON
ejpam-6341	263	44	may	may	AUX
ejpam-6341	263	45	be	be	AUX
ejpam-6341	263	46	formulated	formulate	VERB
ejpam-6341	263	47	as	as	ADP
ejpam-6341	263	48	t	t	NOUN
ejpam-6341	263	49	=	=	PUNCT
ejpam-6341	263	50	2π	2π	NOUN
ejpam-6341	263	51	ν	ν	NOUN
ejpam-6341	263	52	=	=	SYM
ejpam-6341	263	53	2π	2π	NUM
ejpam-6341	263	54	ν0	ν0	PROPN
ejpam-6341	263	55	1	1	NOUN
ejpam-6341	263	56	+	+	CCONJ
ejpam-6341	264	1	∞∑	∞∑	NUM
ejpam-6341	264	2	j=2	j=2	PROPN
ejpam-6341	264	3	εjtj	εjtj	VERB
ejpam-6341	264	4			PROPN
ejpam-6341	264	5	.	.	PUNCT
ejpam-6341	265	1	(	(	PUNCT
ejpam-6341	265	2	40	40	NUM
ejpam-6341	265	3	)	)	PUNCT
ejpam-6341	265	4	substituting	substitute	VERB
ejpam-6341	265	5	(	(	PUNCT
ejpam-6341	265	6	39	39	NUM
ejpam-6341	265	7	)	)	PUNCT
ejpam-6341	265	8	and	and	CCONJ
ejpam-6341	265	9	(	(	PUNCT
ejpam-6341	265	10	40	40	NUM
ejpam-6341	265	11	)	)	PUNCT
ejpam-6341	265	12	in	in	ADP
ejpam-6341	265	13	(	(	PUNCT
ejpam-6341	265	14	38	38	NUM
ejpam-6341	265	15	)	)	PUNCT
ejpam-6341	265	16	and	and	CCONJ
ejpam-6341	265	17	taking	take	VERB
ejpam-6341	265	18	the	the	DET
ejpam-6341	265	19	first	first	ADJ
ejpam-6341	265	20	approximation	approximation	NOUN
ejpam-6341	265	21	,	,	PUNCT
ejpam-6341	265	22	then	then	ADV
ejpam-6341	265	23	we	we	PRON
ejpam-6341	265	24	get	get	VERB
ejpam-6341	265	25	ν20	ν20	ADV
ejpam-6341	265	26	d2x(1	d2x(1	PROPN
ejpam-6341	265	27	)	)	PUNCT
ejpam-6341	266	1	du2	du2	NOUN
ejpam-6341	266	2	+	+	PUNCT
ejpam-6341	266	3	lx(1	lx(1	NOUN
ejpam-6341	266	4	)	)	PUNCT
ejpam-6341	267	1	+	+	NOUN
ejpam-6341	267	2	my	my	PRON
ejpam-6341	267	3	(	(	PUNCT
ejpam-6341	267	4	1	1	NUM
ejpam-6341	267	5	)	)	PUNCT
ejpam-6341	267	6	=	=	SYM
ejpam-6341	267	7	0	0	NUM
ejpam-6341	267	8	,	,	PUNCT
ejpam-6341	267	9	ν20	ν20	NOUN
ejpam-6341	267	10	d2y	d2y	PROPN
ejpam-6341	267	11	(	(	PUNCT
ejpam-6341	267	12	1	1	X
ejpam-6341	267	13	)	)	PUNCT
ejpam-6341	267	14	du2	du2	NOUN
ejpam-6341	268	1	+	+	PROPN
ejpam-6341	268	2	ny	ny	PROPN
ejpam-6341	268	3	(	(	PUNCT
ejpam-6341	268	4	1	1	NUM
ejpam-6341	268	5	)	)	PUNCT
ejpam-6341	268	6	+	+	NOUN
ejpam-6341	268	7	mx(1	mx(1	NOUN
ejpam-6341	268	8	)	)	PUNCT
ejpam-6341	268	9	=	=	SYM
ejpam-6341	268	10	0	0	X
ejpam-6341	268	11	.	.	PUNCT
ejpam-6341	269	1	(	(	PUNCT
ejpam-6341	269	2	41	41	NUM
ejpam-6341	269	3	)	)	PUNCT
ejpam-6341	269	4	in	in	ADP
ejpam-6341	269	5	order	order	NOUN
ejpam-6341	269	6	to	to	PART
ejpam-6341	269	7	accomplish	accomplish	VERB
ejpam-6341	269	8	our	our	PRON
ejpam-6341	269	9	objective	objective	NOUN
ejpam-6341	269	10	,	,	PUNCT
ejpam-6341	269	11	we	we	PRON
ejpam-6341	269	12	express	express	VERB
ejpam-6341	269	13	the	the	DET
ejpam-6341	269	14	supposed	suppose	VERB
ejpam-6341	269	15	solution	solution	NOUN
ejpam-6341	269	16	for	for	ADP
ejpam-6341	269	17	equations	equation	NOUN
ejpam-6341	269	18	(	(	PUNCT
ejpam-6341	269	19	41	41	NUM
ejpam-6341	269	20	)	)	PUNCT
ejpam-6341	269	21	in	in	ADP
ejpam-6341	269	22	the	the	DET
ejpam-6341	269	23	fourier	fourier	NOUN
ejpam-6341	269	24	series	series	NOUN
ejpam-6341	269	25	x(s	x(s	PROPN
ejpam-6341	269	26	)	)	PUNCT
ejpam-6341	269	27	=	=	PUNCT
ejpam-6341	270	1	a01s	a01	NOUN
ejpam-6341	271	1	+	+	CCONJ
ejpam-6341	271	2	s∑	s∑	PROPN
ejpam-6341	271	3	r=1	r=1	NOUN
ejpam-6341	271	4	(	(	PUNCT
ejpam-6341	271	5	a	a	DET
ejpam-6341	271	6	(	(	PUNCT
ejpam-6341	271	7	r	r	NOUN
ejpam-6341	271	8	)	)	PUNCT
ejpam-6341	271	9	1s	1	NOUN
ejpam-6341	271	10	cos	cos	PROPN
ejpam-6341	271	11	ru+	ru+	PROPN
ejpam-6341	271	12	b	b	PROPN
ejpam-6341	271	13	(	(	PUNCT
ejpam-6341	271	14	r	r	NOUN
ejpam-6341	271	15	)	)	PUNCT
ejpam-6341	271	16	1s	1s	NUM
ejpam-6341	271	17	sin	sin	PROPN
ejpam-6341	271	18	ru	ru	PROPN
ejpam-6341	271	19	)	)	PUNCT
ejpam-6341	271	20	,	,	PUNCT
ejpam-6341	271	21	y	y	PROPN
ejpam-6341	271	22	(	(	PUNCT
ejpam-6341	271	23	s	s	X
ejpam-6341	271	24	)	)	PUNCT
ejpam-6341	271	25	=	=	PUNCT
ejpam-6341	271	26	a02s	a02	NOUN
ejpam-6341	271	27	+	+	CCONJ
ejpam-6341	271	28	s∑	s∑	PROPN
ejpam-6341	271	29	r=1	r=1	ADJ
ejpam-6341	271	30	(	(	PUNCT
ejpam-6341	271	31	a	a	PRON
ejpam-6341	271	32	(	(	PUNCT
ejpam-6341	271	33	r	r	NOUN
ejpam-6341	271	34	)	)	PUNCT
ejpam-6341	271	35	2s	2s	PROPN
ejpam-6341	271	36	cos	cos	ADP
ejpam-6341	271	37	ru+	ru+	PROPN
ejpam-6341	271	38	b	b	PROPN
ejpam-6341	271	39	(	(	PUNCT
ejpam-6341	271	40	r	r	NOUN
ejpam-6341	271	41	)	)	PUNCT
ejpam-6341	271	42	2s	2s	PROPN
ejpam-6341	271	43	sin	sin	PROPN
ejpam-6341	271	44	ru	ru	PROPN
ejpam-6341	271	45	)	)	PUNCT
ejpam-6341	271	46	,	,	PUNCT
ejpam-6341	271	47	(	(	PUNCT
ejpam-6341	271	48	42	42	NUM
ejpam-6341	271	49	)	)	PUNCT
ejpam-6341	271	50	by	by	ADP
ejpam-6341	271	51	taking	take	VERB
ejpam-6341	271	52	first	first	ADJ
ejpam-6341	271	53	approximation	approximation	NOUN
ejpam-6341	271	54	of	of	ADP
ejpam-6341	271	55	expressions	expression	NOUN
ejpam-6341	271	56	(	(	PUNCT
ejpam-6341	271	57	42	42	NUM
ejpam-6341	271	58	)	)	PUNCT
ejpam-6341	271	59	and	and	CCONJ
ejpam-6341	271	60	substituting	substitute	VERB
ejpam-6341	271	61	into	into	ADP
ejpam-6341	271	62	(	(	PUNCT
ejpam-6341	271	63	41	41	NUM
ejpam-6341	271	64	)	)	PUNCT
ejpam-6341	271	65	,	,	PUNCT
ejpam-6341	271	66	then	then	ADV
ejpam-6341	271	67	we	we	PRON
ejpam-6341	271	68	get	get	VERB
ejpam-6341	271	69	the	the	DET
ejpam-6341	271	70	following	follow	VERB
ejpam-6341	271	71	solutions	solution	NOUN
ejpam-6341	271	72	x	x	PUNCT
ejpam-6341	271	73	=	=	PUNCT
ejpam-6341	271	74	xp	xp	PROPN
ejpam-6341	272	1	+	+	CCONJ
ejpam-6341	272	2	ε[b̃(ν20	ε[b̃(ν20	PROPN
ejpam-6341	272	3	−n	−n	ADV
ejpam-6341	272	4	)	)	PUNCT
ejpam-6341	272	5	cosu+	cosu+	NOUN
ejpam-6341	272	6	ãm	ãm	NOUN
ejpam-6341	272	7	sinu	sinu	NOUN
ejpam-6341	272	8	]	]	PUNCT
ejpam-6341	272	9	,	,	PUNCT
ejpam-6341	272	10	y	y	PROPN
ejpam-6341	272	11	=	=	PUNCT
ejpam-6341	272	12	yp	yp	PROPN
ejpam-6341	273	1	+	+	CCONJ
ejpam-6341	273	2	ε[b̃m	ε[b̃m	NUM
ejpam-6341	273	3	cosu+	cosu+	PROPN
ejpam-6341	273	4	ã(ν20	ã(ν20	PROPN
ejpam-6341	273	5	−	−	PROPN
ejpam-6341	273	6	l	l	NOUN
ejpam-6341	273	7	)	)	PUNCT
ejpam-6341	273	8	sinu	sinu	NOUN
ejpam-6341	273	9	]	]	PUNCT
ejpam-6341	273	10	,	,	PUNCT
ejpam-6341	273	11	h	h	NOUN
ejpam-6341	273	12	=	=	PROPN
ejpam-6341	273	13	h0	h0	PROPN
ejpam-6341	273	14	+	+	CCONJ
ejpam-6341	273	15	ε2	ε2	PROPN
ejpam-6341	273	16	4	4	NUM
ejpam-6341	273	17	(	(	PUNCT
ejpam-6341	273	18	(	(	PUNCT
ejpam-6341	273	19	ã2	ã2	PROPN
ejpam-6341	273	20	+	+	CCONJ
ejpam-6341	273	21	b̃2)ν60	b̃2)ν60	PROPN
ejpam-6341	273	22	+	+	CCONJ
ejpam-6341	273	23	(	(	PUNCT
ejpam-6341	273	24	ã2(n	ã2(n	PROPN
ejpam-6341	273	25	−	−	NOUN
ejpam-6341	273	26	2l	2l	NUM
ejpam-6341	273	27	)	)	PUNCT
ejpam-6341	274	1	+	+	CCONJ
ejpam-6341	274	2	b̃2(α−	b̃2(α−	VERB
ejpam-6341	274	3	2β))ν40	2β))ν40	NUM
ejpam-6341	274	4	+	+	CCONJ
ejpam-6341	274	5	(	(	PUNCT
ejpam-6341	274	6	ã2(l2	ã2(l2	X
ejpam-6341	274	7	−	−	PROPN
ejpam-6341	274	8	2ln	2ln	NOUN
ejpam-6341	275	1	+	+	CCONJ
ejpam-6341	275	2	3m2	3m2	NUM
ejpam-6341	275	3	)	)	PUNCT
ejpam-6341	276	1	+	+	CCONJ
ejpam-6341	276	2	b̃2(n2	b̃2(n2	ADJ
ejpam-6341	276	3	−	−	NUM
ejpam-6341	276	4	2ln	2ln	ADJ
ejpam-6341	276	5	+	+	CCONJ
ejpam-6341	276	6	3m2))ν20	3m2))ν20	NUM
ejpam-6341	276	7	+	+	CCONJ
ejpam-6341	276	8	(	(	PUNCT
ejpam-6341	276	9	ã2l+	ã2l+	ADP
ejpam-6341	276	10	b̃2n)(ln	b̃2n)(ln	NOUN
ejpam-6341	276	11	−m2	−m2	NOUN
ejpam-6341	276	12	)	)	PUNCT
ejpam-6341	276	13	)	)	PUNCT
ejpam-6341	276	14	,	,	PUNCT
ejpam-6341	276	15	(	(	PUNCT
ejpam-6341	276	16	43	43	NUM
ejpam-6341	276	17	)	)	PUNCT
ejpam-6341	276	18	where	where	SCONJ
ejpam-6341	276	19	ã	ã	PROPN
ejpam-6341	276	20	and	and	CCONJ
ejpam-6341	276	21	b̃	b̃	PROPN
ejpam-6341	276	22	are	be	AUX
ejpam-6341	276	23	unrestricted	unrestricted	ADJ
ejpam-6341	276	24	variables	variable	NOUN
ejpam-6341	276	25	.	.	PUNCT
ejpam-6341	277	1	the	the	DET
ejpam-6341	277	2	system	system	NOUN
ejpam-6341	277	3	’s	’s	PART
ejpam-6341	277	4	frequency	frequency	NOUN
ejpam-6341	277	5	is	be	AUX
ejpam-6341	277	6	determined	determine	VERB
ejpam-6341	277	7	by	by	ADP
ejpam-6341	277	8	ν0	ν0	PROPN
ejpam-6341	277	9	=	=	SYM
ejpam-6341	277	10	√	√	NUM
ejpam-6341	277	11	(	(	PUNCT
ejpam-6341	277	12	l+n)±	l+n)±	NOUN
ejpam-6341	277	13	√	√	PROPN
ejpam-6341	277	14	(	(	PUNCT
ejpam-6341	277	15	l+n)2	l+n)2	PROPN
ejpam-6341	277	16	−	−	PROPN
ejpam-6341	277	17	4(ln	4(ln	NUM
ejpam-6341	277	18	−m2	−m2	NOUN
ejpam-6341	277	19	)	)	PUNCT
ejpam-6341	277	20	2	2	NUM
ejpam-6341	277	21	.	.	PUNCT
ejpam-6341	278	1	(	(	PUNCT
ejpam-6341	278	2	44	44	X
ejpam-6341	278	3	)	)	PUNCT
ejpam-6341	278	4	taking	take	VERB
ejpam-6341	278	5	into	into	ADP
ejpam-6341	278	6	account	account	NOUN
ejpam-6341	278	7	that	that	SCONJ
ejpam-6341	278	8	,	,	PUNCT
ejpam-6341	278	9	the	the	DET
ejpam-6341	278	10	frequency	frequency	NOUN
ejpam-6341	278	11	’s	’s	PART
ejpam-6341	278	12	value	value	NOUN
ejpam-6341	278	13	ν0	ν0	PROPN
ejpam-6341	278	14	relies	rely	VERB
ejpam-6341	278	15	on	on	ADP
ejpam-6341	278	16	the	the	DET
ejpam-6341	278	17	values	value	NOUN
ejpam-6341	278	18	of	of	ADP
ejpam-6341	278	19	l	l	NOUN
ejpam-6341	278	20	,	,	PUNCT
ejpam-6341	278	21	m	m	PROPN
ejpam-6341	278	22	and	and	CCONJ
ejpam-6341	278	23	n	n	PROPN
ejpam-6341	278	24	.	.	PUNCT
ejpam-6341	279	1	so	so	ADV
ejpam-6341	279	2	,	,	PUNCT
ejpam-6341	279	3	let	let	VERB
ejpam-6341	279	4	’s	’s	PRON
ejpam-6341	279	5	discuss	discuss	VERB
ejpam-6341	279	6	this	this	DET
ejpam-6341	279	7	scenario	scenario	NOUN
ejpam-6341	279	8	.	.	PUNCT
ejpam-6341	280	1	(	(	PUNCT
ejpam-6341	280	2	i	i	NOUN
ejpam-6341	280	3	)	)	PUNCT
ejpam-6341	280	4	if	if	SCONJ
ejpam-6341	280	5	ln	ln	ADJ
ejpam-6341	280	6	−m2	−m2	NOUN
ejpam-6341	280	7	<	<	X
ejpam-6341	280	8	0	0	NUM
ejpam-6341	280	9	,	,	PUNCT
ejpam-6341	280	10	this	this	PRON
ejpam-6341	280	11	means	mean	VERB
ejpam-6341	280	12	that	that	SCONJ
ejpam-6341	280	13	the	the	DET
ejpam-6341	280	14	equilibrium	equilibrium	NOUN
ejpam-6341	280	15	points	point	NOUN
ejpam-6341	280	16	(	(	PUNCT
ejpam-6341	280	17	xp	xp	INTJ
ejpam-6341	280	18	,	,	PUNCT
ejpam-6341	280	19	yp	yp	NOUN
ejpam-6341	280	20	)	)	PUNCT
ejpam-6341	280	21	are	be	AUX
ejpam-6341	280	22	saddle	saddle	NOUN
ejpam-6341	280	23	points	point	NOUN
ejpam-6341	280	24	.	.	PUNCT
ejpam-6341	281	1	in	in	ADP
ejpam-6341	281	2	the	the	DET
ejpam-6341	281	3	current	current	ADJ
ejpam-6341	281	4	case	case	NOUN
ejpam-6341	281	5	,	,	PUNCT
ejpam-6341	281	6	one	one	NUM
ejpam-6341	281	7	family	family	NOUN
ejpam-6341	281	8	of	of	ADP
ejpam-6341	281	9	periodic	periodic	ADJ
ejpam-6341	281	10	orbits	orbit	NOUN
ejpam-6341	281	11	close	close	ADV
ejpam-6341	281	12	to	to	ADP
ejpam-6341	281	13	the	the	DET
ejpam-6341	281	14	equilibrium	equilibrium	NOUN
ejpam-6341	281	15	points	point	NOUN
ejpam-6341	281	16	with	with	ADP
ejpam-6341	281	17	the	the	DET
ejpam-6341	281	18	frequency	frequency	NOUN
ejpam-6341	281	19	(	(	PUNCT
ejpam-6341	281	20	44	44	NUM
ejpam-6341	281	21	)	)	PUNCT
ejpam-6341	281	22	in	in	ADP
ejpam-6341	281	23	a	a	DET
ejpam-6341	281	24	positive	positive	ADJ
ejpam-6341	281	25	sign	sign	NOUN
ejpam-6341	281	26	is	be	AUX
ejpam-6341	281	27	obtained	obtain	VERB
ejpam-6341	281	28	.	.	PUNCT
ejpam-6341	282	1	(	(	PUNCT
ejpam-6341	282	2	ii	ii	NOUN
ejpam-6341	282	3	)	)	PUNCT
ejpam-6341	282	4	if	if	SCONJ
ejpam-6341	282	5	ln−m2	ln−m2	VERB
ejpam-6341	282	6	>	>	X
ejpam-6341	282	7	0	0	NUM
ejpam-6341	282	8	,	,	PUNCT
ejpam-6341	282	9	which	which	PRON
ejpam-6341	282	10	means	mean	VERB
ejpam-6341	282	11	that	that	SCONJ
ejpam-6341	282	12	there	there	PRON
ejpam-6341	282	13	is	be	VERB
ejpam-6341	282	14	an	an	DET
ejpam-6341	282	15	extremum	extremum	ADJ
ejpam-6341	282	16	value	value	NOUN
ejpam-6341	282	17	for	for	ADP
ejpam-6341	282	18	the	the	DET
ejpam-6341	282	19	pf	pf	PROPN
ejpam-6341	282	20	at	at	ADP
ejpam-6341	282	21	(	(	PUNCT
ejpam-6341	282	22	xp	xp	INTJ
ejpam-6341	282	23	,	,	PUNCT
ejpam-6341	282	24	yp	yp	PROPN
ejpam-6341	282	25	)	)	PUNCT
ejpam-6341	282	26	.	.	PUNCT
ejpam-6341	283	1	the	the	DET
ejpam-6341	283	2	inequality	inequality	NOUN
ejpam-6341	283	3	l+n	l+n	PROPN
ejpam-6341	283	4	>	>	SYM
ejpam-6341	283	5	2	2	NUM
ejpam-6341	283	6	√	√	PROPN
ejpam-6341	283	7	ln	ln	ADJ
ejpam-6341	283	8	−m2	−m2	NOUN
ejpam-6341	283	9	with	with	ADP
ejpam-6341	283	10	the	the	DET
ejpam-6341	283	11	second	second	ADJ
ejpam-6341	283	12	condition	condition	NOUN
ejpam-6341	283	13	produce	produce	VERB
ejpam-6341	283	14	the	the	DET
ejpam-6341	283	15	criteria	criterion	NOUN
ejpam-6341	283	16	for	for	ADP
ejpam-6341	283	17	the	the	DET
ejpam-6341	283	18	stability	stability	NOUN
ejpam-6341	283	19	of	of	ADP
ejpam-6341	283	20	the	the	DET
ejpam-6341	283	21	equilibrium	equilibrium	NOUN
ejpam-6341	283	22	(	(	PUNCT
ejpam-6341	283	23	xp	xp	INTJ
ejpam-6341	283	24	,	,	PUNCT
ejpam-6341	283	25	yp	yp	PROPN
ejpam-6341	283	26	)	)	PUNCT
ejpam-6341	283	27	,	,	PUNCT
ejpam-6341	283	28	where	where	SCONJ
ejpam-6341	283	29	the	the	DET
ejpam-6341	283	30	roots	root	NOUN
ejpam-6341	283	31	of	of	ADP
ejpam-6341	283	32	the	the	DET
ejpam-6341	283	33	frequency	frequency	NOUN
ejpam-6341	283	34	are	be	AUX
ejpam-6341	283	35	pure	pure	ADJ
ejpam-6341	283	36	imaginary	imaginary	ADJ
ejpam-6341	283	37	,	,	PUNCT
ejpam-6341	283	38	consequently	consequently	ADV
ejpam-6341	283	39	we	we	PRON
ejpam-6341	283	40	get	get	VERB
ejpam-6341	283	41	two	two	NUM
ejpam-6341	283	42	families	family	NOUN
ejpam-6341	283	43	of	of	ADP
ejpam-6341	283	44	ps	ps	PROPN
ejpam-6341	283	45	around	around	ADP
ejpam-6341	283	46	the	the	DET
ejpam-6341	283	47	minimum	minimum	ADJ
ejpam-6341	283	48	stable	stable	ADJ
ejpam-6341	283	49	points	point	NOUN
ejpam-6341	283	50	.	.	PUNCT
ejpam-6341	284	1	t.	t.	PROPN
ejpam-6341	284	2	s.	s.	PROPN
ejpam-6341	284	3	amer	amer	PROPN
ejpam-6341	284	4	et	et	PROPN
ejpam-6341	284	5	al	al	PROPN
ejpam-6341	284	6	.	.	PUNCT
ejpam-6341	284	7	/	/	SYM
ejpam-6341	284	8	eur	eur	PROPN
ejpam-6341	284	9	.	.	PUNCT
ejpam-6341	285	1	j.	j.	PROPN
ejpam-6341	285	2	pure	pure	PROPN
ejpam-6341	285	3	appl	appl	PROPN
ejpam-6341	285	4	.	.	PROPN
ejpam-6341	285	5	math	math	PROPN
ejpam-6341	285	6	,	,	PUNCT
ejpam-6341	285	7	18	18	NUM
ejpam-6341	285	8	(	(	PUNCT
ejpam-6341	285	9	3	3	NUM
ejpam-6341	285	10	)	)	PUNCT
ejpam-6341	285	11	(	(	PUNCT
ejpam-6341	285	12	2025	2025	NUM
ejpam-6341	285	13	)	)	PUNCT
ejpam-6341	285	14	,	,	PUNCT
ejpam-6341	285	15	6341	6341	NUM
ejpam-6341	285	16	17	17	NUM
ejpam-6341	285	17	of	of	ADP
ejpam-6341	285	18	22	22	NUM
ejpam-6341	285	19	for	for	ADP
ejpam-6341	285	20	the	the	DET
ejpam-6341	285	21	case	case	NOUN
ejpam-6341	285	22	of	of	ADP
ejpam-6341	285	23	quartic	quartic	ADJ
ejpam-6341	285	24	potential	potential	NOUN
ejpam-6341	285	25	:	:	PUNCT
ejpam-6341	285	26	the	the	DET
ejpam-6341	285	27	ps	ps	NOUN
ejpam-6341	285	28	can	can	AUX
ejpam-6341	285	29	be	be	AUX
ejpam-6341	285	30	obtained	obtain	VERB
ejpam-6341	285	31	by	by	ADP
ejpam-6341	285	32	the	the	DET
ejpam-6341	285	33	same	same	ADJ
ejpam-6341	285	34	steps	step	NOUN
ejpam-6341	285	35	as	as	ADP
ejpam-6341	285	36	the	the	DET
ejpam-6341	285	37	previous	previous	ADJ
ejpam-6341	285	38	steps	step	NOUN
ejpam-6341	285	39	.	.	PUNCT
ejpam-6341	286	1	the	the	DET
ejpam-6341	286	2	governing	govern	VERB
ejpam-6341	286	3	equations	equation	NOUN
ejpam-6341	286	4	for	for	ADP
ejpam-6341	286	5	the	the	DET
ejpam-6341	286	6	hamiltonian	hamiltonian	NOUN
ejpam-6341	286	7	(	(	PUNCT
ejpam-6341	286	8	21	21	NUM
ejpam-6341	286	9	)	)	PUNCT
ejpam-6341	286	10	may	may	AUX
ejpam-6341	286	11	be	be	AUX
ejpam-6341	286	12	represented	represent	VERB
ejpam-6341	286	13	as	as	SCONJ
ejpam-6341	286	14	follows	follow	VERB
ejpam-6341	286	15	ẍ+	ẍ+	PROPN
ejpam-6341	286	16	vx	vx	PROPN
ejpam-6341	286	17	=	=	SYM
ejpam-6341	286	18	0	0	PROPN
ejpam-6341	286	19	,	,	PUNCT
ejpam-6341	286	20	ÿ	ÿ	PROPN
ejpam-6341	286	21	+	+	CCONJ
ejpam-6341	286	22	vy	vy	X
ejpam-6341	286	23	=	=	NOUN
ejpam-6341	286	24	0	0	NUM
ejpam-6341	286	25	,	,	PUNCT
ejpam-6341	286	26	(	(	PUNCT
ejpam-6341	286	27	45	45	NUM
ejpam-6341	286	28	)	)	PUNCT
ejpam-6341	286	29	and	and	CCONJ
ejpam-6341	286	30	these	these	DET
ejpam-6341	286	31	equations	equation	NOUN
ejpam-6341	286	32	satisfy	satisfy	VERB
ejpam-6341	286	33	the	the	DET
ejpam-6341	286	34	energy	energy	NOUN
ejpam-6341	286	35	integral	integral	ADJ
ejpam-6341	286	36	1	1	NUM
ejpam-6341	286	37	2	2	NUM
ejpam-6341	286	38	(	(	PUNCT
ejpam-6341	286	39	ẋ2	ẋ2	PROPN
ejpam-6341	286	40	+	+	PUNCT
ejpam-6341	286	41	ẏ2	ẏ2	PROPN
ejpam-6341	286	42	)	)	PUNCT
ejpam-6341	287	1	+	+	CCONJ
ejpam-6341	287	2	v	v	X
ejpam-6341	287	3	=	=	PUNCT
ejpam-6341	287	4	h.	h.	PROPN
ejpam-6341	287	5	(	(	PUNCT
ejpam-6341	287	6	46	46	NUM
ejpam-6341	287	7	)	)	PUNCT
ejpam-6341	287	8	moreover	moreover	ADV
ejpam-6341	287	9	,	,	PUNCT
ejpam-6341	287	10	the	the	DET
ejpam-6341	287	11	equilibrium	equilibrium	NOUN
ejpam-6341	287	12	points	point	NOUN
ejpam-6341	287	13	(	(	PUNCT
ejpam-6341	287	14	xp	xp	INTJ
ejpam-6341	287	15	,	,	PUNCT
ejpam-6341	287	16	yp	yp	PROPN
ejpam-6341	287	17	)	)	PUNCT
ejpam-6341	287	18	can	can	AUX
ejpam-6341	287	19	be	be	AUX
ejpam-6341	287	20	obtained	obtain	VERB
ejpam-6341	287	21	by	by	ADP
ejpam-6341	287	22	solving	solve	VERB
ejpam-6341	287	23	the	the	DET
ejpam-6341	287	24	equations	equation	NOUN
ejpam-6341	287	25	vx	vx	X
ejpam-6341	287	26	=	=	PROPN
ejpam-6341	287	27	vy	vy	X
ejpam-6341	287	28	=	=	NOUN
ejpam-6341	287	29	0	0	NUM
ejpam-6341	287	30	,	,	PUNCT
ejpam-6341	287	31	in	in	ADP
ejpam-6341	287	32	which	which	PRON
ejpam-6341	287	33	from	from	ADP
ejpam-6341	287	34	equation	equation	NOUN
ejpam-6341	287	35	(	(	PUNCT
ejpam-6341	287	36	46	46	NUM
ejpam-6341	287	37	)	)	PUNCT
ejpam-6341	287	38	there	there	PRON
ejpam-6341	287	39	is	be	VERB
ejpam-6341	287	40	an	an	DET
ejpam-6341	287	41	initial	initial	ADJ
ejpam-6341	287	42	value	value	NOUN
ejpam-6341	287	43	of	of	ADP
ejpam-6341	287	44	the	the	DET
ejpam-6341	287	45	energy	energy	NOUN
ejpam-6341	287	46	constant	constant	ADJ
ejpam-6341	287	47	h	h	NOUN
ejpam-6341	287	48	for	for	ADP
ejpam-6341	287	49	each	each	DET
ejpam-6341	287	50	equilibrium	equilibrium	NOUN
ejpam-6341	287	51	point	point	NOUN
ejpam-6341	287	52	.	.	PUNCT
ejpam-6341	288	1	inserting	insert	VERB
ejpam-6341	288	2	x	x	PUNCT
ejpam-6341	288	3	=	=	PRON
ejpam-6341	288	4	xp	xp	PROPN
ejpam-6341	288	5	+	+	SYM
ejpam-6341	288	6	ξ	ξ	PROPN
ejpam-6341	288	7	,	,	PUNCT
ejpam-6341	288	8	y	y	PROPN
ejpam-6341	288	9	=	=	PUNCT
ejpam-6341	288	10	yp	yp	PROPN
ejpam-6341	288	11	+	+	CCONJ
ejpam-6341	288	12	η	η	PROPN
ejpam-6341	288	13	into	into	ADP
ejpam-6341	288	14	equation	equation	NOUN
ejpam-6341	288	15	(	(	PUNCT
ejpam-6341	288	16	45	45	NUM
ejpam-6341	288	17	)	)	PUNCT
ejpam-6341	288	18	,	,	PUNCT
ejpam-6341	288	19	we	we	PRON
ejpam-6341	288	20	get	get	VERB
ejpam-6341	288	21	after	after	ADP
ejpam-6341	288	22	some	some	DET
ejpam-6341	288	23	calculations	calculation	NOUN
ejpam-6341	288	24	the	the	DET
ejpam-6341	288	25	following	follow	VERB
ejpam-6341	288	26	linear	linear	PROPN
ejpam-6341	288	27	equations	equation	NOUN
ejpam-6341	288	28	ξ̈	ξ̈	X
ejpam-6341	289	1	+	+	X
ejpam-6341	289	2	γξ	γξ	ADV
ejpam-6341	289	3	+	+	CCONJ
ejpam-6341	289	4	µη	µη	ADJ
ejpam-6341	289	5	=	=	NOUN
ejpam-6341	289	6	0	0	NUM
ejpam-6341	289	7	,	,	PUNCT
ejpam-6341	289	8	η̈	η̈	PROPN
ejpam-6341	289	9	+	+	SYM
ejpam-6341	289	10	κη	κη	PROPN
ejpam-6341	289	11	+	+	X
ejpam-6341	289	12	µξ	µξ	ADJ
ejpam-6341	289	13	=	=	SYM
ejpam-6341	289	14	0	0	NUM
ejpam-6341	289	15	,	,	PUNCT
ejpam-6341	289	16	(	(	PUNCT
ejpam-6341	289	17	47	47	NUM
ejpam-6341	289	18	)	)	PUNCT
ejpam-6341	289	19	where	where	SCONJ
ejpam-6341	289	20	vxx(xp	vxx(xp	NOUN
ejpam-6341	289	21	,	,	PUNCT
ejpam-6341	289	22	yp	yp	NOUN
ejpam-6341	289	23	)	)	PUNCT
ejpam-6341	289	24	=	=	SYM
ejpam-6341	290	1	γ	γ	X
ejpam-6341	290	2	,	,	PUNCT
ejpam-6341	290	3	vyy(xp	vyy(xp	NOUN
ejpam-6341	290	4	,	,	PUNCT
ejpam-6341	290	5	yp	yp	PROPN
ejpam-6341	290	6	)	)	PUNCT
ejpam-6341	290	7	=	=	SYM
ejpam-6341	290	8	κ	κ	NOUN
ejpam-6341	290	9	,	,	PUNCT
ejpam-6341	290	10	vxy(xp	vxy(xp	NOUN
ejpam-6341	290	11	,	,	PUNCT
ejpam-6341	290	12	yp	yp	NOUN
ejpam-6341	290	13	)	)	PUNCT
ejpam-6341	290	14	=	=	SYM
ejpam-6341	291	1	µ.	µ.	NOUN
ejpam-6341	291	2	introducing	introduce	VERB
ejpam-6341	291	3	the	the	DET
ejpam-6341	291	4	time	time	NOUN
ejpam-6341	291	5	transformation	transformation	NOUN
ejpam-6341	291	6	,	,	PUNCT
ejpam-6341	291	7	(	(	PUNCT
ejpam-6341	291	8	u	u	NOUN
ejpam-6341	291	9	=	=	NOUN
ejpam-6341	291	10	νt	νt	PROPN
ejpam-6341	291	11	)	)	PUNCT
ejpam-6341	291	12	and	and	CCONJ
ejpam-6341	291	13	following	follow	VERB
ejpam-6341	291	14	the	the	DET
ejpam-6341	291	15	same	same	ADJ
ejpam-6341	291	16	steps	step	NOUN
ejpam-6341	291	17	in	in	ADP
ejpam-6341	291	18	equations	equation	NOUN
ejpam-6341	291	19	(	(	PUNCT
ejpam-6341	291	20	38)-(40	38)-(40	NOUN
ejpam-6341	291	21	)	)	PUNCT
ejpam-6341	291	22	and	and	CCONJ
ejpam-6341	291	23	taking	take	VERB
ejpam-6341	291	24	the	the	DET
ejpam-6341	291	25	first	first	ADJ
ejpam-6341	291	26	approximation	approximation	NOUN
ejpam-6341	291	27	,	,	PUNCT
ejpam-6341	291	28	then	then	ADV
ejpam-6341	291	29	we	we	PRON
ejpam-6341	291	30	get	get	VERB
ejpam-6341	291	31	ν20	ν20	ADV
ejpam-6341	291	32	d2x(1	d2x(1	PROPN
ejpam-6341	291	33	)	)	PUNCT
ejpam-6341	291	34	du2	du2	NOUN
ejpam-6341	291	35	+	+	PUNCT
ejpam-6341	291	36	γx(1	γx(1	NOUN
ejpam-6341	291	37	)	)	PUNCT
ejpam-6341	292	1	+	+	CCONJ
ejpam-6341	292	2	µy(1	µy(1	X
ejpam-6341	292	3	)	)	PUNCT
ejpam-6341	292	4	=	=	SYM
ejpam-6341	292	5	0	0	NUM
ejpam-6341	292	6	,	,	PUNCT
ejpam-6341	292	7	ν20	ν20	PROPN
ejpam-6341	292	8	d2y(1	d2y(1	PROPN
ejpam-6341	292	9	)	)	PUNCT
ejpam-6341	292	10	du2	du2	NOUN
ejpam-6341	292	11	+	+	CCONJ
ejpam-6341	292	12	κy(1	κy(1	X
ejpam-6341	292	13	)	)	PUNCT
ejpam-6341	292	14	+	+	CCONJ
ejpam-6341	292	15	µx(1	µx(1	NOUN
ejpam-6341	292	16	)	)	PUNCT
ejpam-6341	292	17	=	=	NOUN
ejpam-6341	292	18	0	0	X
ejpam-6341	292	19	.	.	PUNCT
ejpam-6341	293	1	(	(	PUNCT
ejpam-6341	293	2	48	48	NUM
ejpam-6341	293	3	)	)	PUNCT
ejpam-6341	293	4	as	as	ADV
ejpam-6341	293	5	well	well	ADV
ejpam-6341	293	6	known	know	VERB
ejpam-6341	293	7	the	the	DET
ejpam-6341	293	8	solution	solution	NOUN
ejpam-6341	293	9	of	of	ADP
ejpam-6341	293	10	(	(	PUNCT
ejpam-6341	293	11	48	48	NUM
ejpam-6341	293	12	)	)	PUNCT
ejpam-6341	293	13	can	can	AUX
ejpam-6341	293	14	be	be	AUX
ejpam-6341	293	15	obtained	obtain	VERB
ejpam-6341	293	16	using	use	VERB
ejpam-6341	293	17	the	the	DET
ejpam-6341	293	18	fourier	fourier	NOUN
ejpam-6341	293	19	series	series	NOUN
ejpam-6341	293	20	x(s	x(s	PROPN
ejpam-6341	293	21	)	)	PUNCT
ejpam-6341	294	1	=	=	PUNCT
ejpam-6341	295	1	a01s	a01	NOUN
ejpam-6341	296	1	+	+	CCONJ
ejpam-6341	296	2	s∑	s∑	PROPN
ejpam-6341	296	3	r=1	r=1	NOUN
ejpam-6341	296	4	(	(	PUNCT
ejpam-6341	296	5	a	a	DET
ejpam-6341	296	6	(	(	PUNCT
ejpam-6341	296	7	r	r	NOUN
ejpam-6341	296	8	)	)	PUNCT
ejpam-6341	296	9	1s	1	NOUN
ejpam-6341	296	10	cos	cos	PROPN
ejpam-6341	296	11	ru+	ru+	PROPN
ejpam-6341	296	12	b	b	PROPN
ejpam-6341	296	13	(	(	PUNCT
ejpam-6341	296	14	r	r	NOUN
ejpam-6341	296	15	)	)	PUNCT
ejpam-6341	296	16	1s	1s	NUM
ejpam-6341	296	17	sin	sin	PROPN
ejpam-6341	296	18	ru	ru	PROPN
ejpam-6341	296	19	)	)	PUNCT
ejpam-6341	296	20	,	,	PUNCT
ejpam-6341	296	21	y(s	y(s	PROPN
ejpam-6341	296	22	)	)	PUNCT
ejpam-6341	296	23	=	=	PUNCT
ejpam-6341	296	24	a02s	a02	NOUN
ejpam-6341	296	25	+	+	CCONJ
ejpam-6341	296	26	s∑	s∑	PROPN
ejpam-6341	296	27	r=1	r=1	ADJ
ejpam-6341	296	28	(	(	PUNCT
ejpam-6341	296	29	a	a	PRON
ejpam-6341	296	30	(	(	PUNCT
ejpam-6341	296	31	r	r	NOUN
ejpam-6341	296	32	)	)	PUNCT
ejpam-6341	296	33	2s	2s	PROPN
ejpam-6341	296	34	cos	cos	ADP
ejpam-6341	296	35	ru+	ru+	PROPN
ejpam-6341	296	36	b	b	PROPN
ejpam-6341	296	37	(	(	PUNCT
ejpam-6341	296	38	r	r	NOUN
ejpam-6341	296	39	)	)	PUNCT
ejpam-6341	296	40	2s	2s	PROPN
ejpam-6341	296	41	sin	sin	PROPN
ejpam-6341	296	42	ru	ru	PROPN
ejpam-6341	296	43	)	)	PUNCT
ejpam-6341	296	44	.	.	PUNCT
ejpam-6341	297	1	(	(	PUNCT
ejpam-6341	297	2	49	49	X
ejpam-6341	297	3	)	)	PUNCT
ejpam-6341	297	4	setting	set	VERB
ejpam-6341	297	5	the	the	DET
ejpam-6341	297	6	first	first	ADJ
ejpam-6341	297	7	approximation	approximation	NOUN
ejpam-6341	297	8	of	of	ADP
ejpam-6341	297	9	expressions	expression	NOUN
ejpam-6341	297	10	(	(	PUNCT
ejpam-6341	297	11	49	49	NUM
ejpam-6341	297	12	)	)	PUNCT
ejpam-6341	297	13	into	into	ADP
ejpam-6341	297	14	(	(	PUNCT
ejpam-6341	297	15	48	48	NUM
ejpam-6341	297	16	)	)	PUNCT
ejpam-6341	297	17	,	,	PUNCT
ejpam-6341	297	18	then	then	ADV
ejpam-6341	297	19	we	we	PRON
ejpam-6341	297	20	get	get	VERB
ejpam-6341	297	21	the	the	DET
ejpam-6341	297	22	following	follow	VERB
ejpam-6341	297	23	solutions	solution	NOUN
ejpam-6341	297	24	x	x	PUNCT
ejpam-6341	298	1	=	=	PUNCT
ejpam-6341	298	2	xp	xp	PROPN
ejpam-6341	299	1	+	+	CCONJ
ejpam-6341	299	2	ε[b̃(ν20	ε[b̃(ν20	PROPN
ejpam-6341	299	3	−	−	PROPN
ejpam-6341	299	4	κ	κ	NOUN
ejpam-6341	299	5	)	)	PUNCT
ejpam-6341	299	6	cosu+	cosu+	NOUN
ejpam-6341	299	7	ãµ	ãµ	NOUN
ejpam-6341	299	8	sinu	sinu	NOUN
ejpam-6341	299	9	]	]	PUNCT
ejpam-6341	299	10	,	,	PUNCT
ejpam-6341	299	11	y	y	PROPN
ejpam-6341	299	12	=	=	PUNCT
ejpam-6341	299	13	yp	yp	PROPN
ejpam-6341	300	1	+	+	CCONJ
ejpam-6341	300	2	ε[b̃µ	ε[b̃µ	NUM
ejpam-6341	300	3	cosu+	cosu+	NOUN
ejpam-6341	300	4	ã(ν20	ã(ν20	PROPN
ejpam-6341	300	5	−	−	PROPN
ejpam-6341	300	6	γ	γ	PROPN
ejpam-6341	300	7	)	)	PUNCT
ejpam-6341	300	8	sinu	sinu	NOUN
ejpam-6341	300	9	]	]	PUNCT
ejpam-6341	300	10	,	,	PUNCT
ejpam-6341	300	11	h	h	NOUN
ejpam-6341	300	12	=	=	PROPN
ejpam-6341	300	13	h0	h0	PROPN
ejpam-6341	300	14	+	+	CCONJ
ejpam-6341	300	15	ε2	ε2	PROPN
ejpam-6341	300	16	4	4	NUM
ejpam-6341	300	17	(	(	PUNCT
ejpam-6341	300	18	(	(	PUNCT
ejpam-6341	300	19	ã2	ã2	PROPN
ejpam-6341	300	20	+	+	CCONJ
ejpam-6341	300	21	b̃2)ν60	b̃2)ν60	PROPN
ejpam-6341	300	22	+	+	CCONJ
ejpam-6341	300	23	(	(	PUNCT
ejpam-6341	300	24	ã2(κ−	ã2(κ−	X
ejpam-6341	300	25	2γ	2γ	NOUN
ejpam-6341	300	26	)	)	PUNCT
ejpam-6341	301	1	+	+	CCONJ
ejpam-6341	301	2	b̃2(γ	b̃2(γ	NOUN
ejpam-6341	301	3	−	−	PROPN
ejpam-6341	301	4	2κ))ν40	2κ))ν40	NUM
ejpam-6341	301	5	+	+	NUM
ejpam-6341	301	6	(	(	PUNCT
ejpam-6341	301	7	ã2(γ2	ã2(γ2	X
ejpam-6341	301	8	−	−	PROPN
ejpam-6341	301	9	2γκ+	2γκ+	NUM
ejpam-6341	301	10	3µ2	3µ2	NUM
ejpam-6341	301	11	)	)	PUNCT
ejpam-6341	302	1	+	+	CCONJ
ejpam-6341	302	2	b̃2(κ2	b̃2(κ2	ADV
ejpam-6341	302	3	−	−	PROPN
ejpam-6341	302	4	2γκ+	2γκ+	NUM
ejpam-6341	302	5	3µ2))ν20	3µ2))ν20	NUM
ejpam-6341	303	1	+	+	CCONJ
ejpam-6341	303	2	(	(	PUNCT
ejpam-6341	303	3	ã2γ	ã2γ	NOUN
ejpam-6341	303	4	+	+	CCONJ
ejpam-6341	303	5	b̃2κ)(γκ−	b̃2κ)(γκ−	PROPN
ejpam-6341	303	6	µ2	µ2	PROPN
ejpam-6341	303	7	)	)	PUNCT
ejpam-6341	303	8	)	)	PUNCT
ejpam-6341	303	9	,	,	PUNCT
ejpam-6341	303	10	(	(	PUNCT
ejpam-6341	303	11	50	50	NUM
ejpam-6341	303	12	)	)	PUNCT
ejpam-6341	303	13	where	where	SCONJ
ejpam-6341	303	14	ã	ã	PROPN
ejpam-6341	303	15	and	and	CCONJ
ejpam-6341	303	16	b̃	b̃	PROPN
ejpam-6341	303	17	are	be	AUX
ejpam-6341	303	18	undefined	undefined	ADJ
ejpam-6341	303	19	chosen	choose	VERB
ejpam-6341	303	20	parameters	parameter	NOUN
ejpam-6341	303	21	.	.	PUNCT
ejpam-6341	304	1	the	the	DET
ejpam-6341	304	2	frequency	frequency	NOUN
ejpam-6341	304	3	is	be	AUX
ejpam-6341	304	4	given	give	VERB
ejpam-6341	304	5	by	by	ADP
ejpam-6341	304	6	ν0	ν0	PROPN
ejpam-6341	304	7	=	=	SYM
ejpam-6341	304	8	√	√	PROPN
ejpam-6341	304	9	(	(	PUNCT
ejpam-6341	304	10	γ	γ	X
ejpam-6341	304	11	+	+	X
ejpam-6341	304	12	κ)±	κ)±	NUM
ejpam-6341	304	13	√	√	NUM
ejpam-6341	304	14	(	(	PUNCT
ejpam-6341	304	15	γ	γ	X
ejpam-6341	304	16	+	+	CCONJ
ejpam-6341	304	17	κ)2	κ)2	NOUN
ejpam-6341	305	1	−	−	PROPN
ejpam-6341	305	2	4(γκ−	4(γκ−	NUM
ejpam-6341	305	3	µ2	µ2	PROPN
ejpam-6341	305	4	)	)	PUNCT
ejpam-6341	305	5	2	2	NUM
ejpam-6341	305	6	.	.	PUNCT
ejpam-6341	306	1	(	(	PUNCT
ejpam-6341	306	2	51	51	NUM
ejpam-6341	306	3	)	)	PUNCT
ejpam-6341	306	4	thus	thus	ADV
ejpam-6341	306	5	,	,	PUNCT
ejpam-6341	306	6	there	there	PRON
ejpam-6341	306	7	are	be	VERB
ejpam-6341	306	8	two	two	NUM
ejpam-6341	306	9	types	type	NOUN
ejpam-6341	306	10	of	of	ADP
ejpam-6341	306	11	equilibrium	equilibrium	NOUN
ejpam-6341	306	12	points	point	NOUN
ejpam-6341	306	13	:	:	PUNCT
ejpam-6341	306	14	t.	t.	PROPN
ejpam-6341	306	15	s.	s.	PROPN
ejpam-6341	306	16	amer	amer	PROPN
ejpam-6341	306	17	et	et	PROPN
ejpam-6341	306	18	al	al	PROPN
ejpam-6341	306	19	.	.	PUNCT
ejpam-6341	306	20	/	/	SYM
ejpam-6341	306	21	eur	eur	PROPN
ejpam-6341	306	22	.	.	PUNCT
ejpam-6341	307	1	j.	j.	PROPN
ejpam-6341	307	2	pure	pure	PROPN
ejpam-6341	307	3	appl	appl	PROPN
ejpam-6341	307	4	.	.	PROPN
ejpam-6341	307	5	math	math	PROPN
ejpam-6341	307	6	,	,	PUNCT
ejpam-6341	307	7	18	18	NUM
ejpam-6341	307	8	(	(	PUNCT
ejpam-6341	307	9	3	3	NUM
ejpam-6341	307	10	)	)	PUNCT
ejpam-6341	307	11	(	(	PUNCT
ejpam-6341	307	12	2025	2025	NUM
ejpam-6341	307	13	)	)	PUNCT
ejpam-6341	307	14	,	,	PUNCT
ejpam-6341	307	15	6341	6341	NUM
ejpam-6341	307	16	18	18	NUM
ejpam-6341	307	17	of	of	ADP
ejpam-6341	307	18	22	22	NUM
ejpam-6341	307	19	(	(	PUNCT
ejpam-6341	307	20	i	i	NOUN
ejpam-6341	307	21	)	)	PUNCT
ejpam-6341	308	1	if	if	SCONJ
ejpam-6341	308	2	γκ−	γκ−	PROPN
ejpam-6341	308	3	µ2	µ2	PROPN
ejpam-6341	308	4	<	<	X
ejpam-6341	308	5	0	0	PROPN
ejpam-6341	308	6	,	,	PUNCT
ejpam-6341	308	7	this	this	PRON
ejpam-6341	308	8	means	mean	VERB
ejpam-6341	308	9	that	that	SCONJ
ejpam-6341	308	10	the	the	DET
ejpam-6341	308	11	points	point	NOUN
ejpam-6341	308	12	(	(	PUNCT
ejpam-6341	308	13	xp	xp	INTJ
ejpam-6341	308	14	,	,	PUNCT
ejpam-6341	308	15	yp	yp	PROPN
ejpam-6341	308	16	)	)	PUNCT
ejpam-6341	308	17	of	of	ADP
ejpam-6341	308	18	equilibrium	equilibrium	NOUN
ejpam-6341	308	19	are	be	AUX
ejpam-6341	308	20	saddle	saddle	NOUN
ejpam-6341	308	21	points	point	NOUN
ejpam-6341	308	22	,	,	PUNCT
ejpam-6341	308	23	which	which	PRON
ejpam-6341	308	24	give	give	VERB
ejpam-6341	308	25	a	a	DET
ejpam-6341	308	26	family	family	NOUN
ejpam-6341	308	27	of	of	ADP
ejpam-6341	308	28	ps	ps	PROPN
ejpam-6341	308	29	with	with	ADP
ejpam-6341	308	30	the	the	DET
ejpam-6341	308	31	positive	positive	ADJ
ejpam-6341	308	32	sign	sign	NOUN
ejpam-6341	308	33	of	of	ADP
ejpam-6341	308	34	frequency	frequency	NOUN
ejpam-6341	308	35	(	(	PUNCT
ejpam-6341	308	36	51	51	NUM
ejpam-6341	308	37	)	)	PUNCT
ejpam-6341	308	38	.	.	PUNCT
ejpam-6341	309	1	(	(	PUNCT
ejpam-6341	309	2	ii	ii	NOUN
ejpam-6341	309	3	)	)	PUNCT
ejpam-6341	309	4	if	if	SCONJ
ejpam-6341	309	5	γκ	γκ	ADJ
ejpam-6341	309	6	−	−	PROPN
ejpam-6341	309	7	µ2	µ2	PROPN
ejpam-6341	309	8	>	>	X
ejpam-6341	309	9	0	0	PROPN
ejpam-6341	309	10	,	,	PUNCT
ejpam-6341	309	11	the	the	DET
ejpam-6341	309	12	equilibrium	equilibrium	NOUN
ejpam-6341	309	13	points	point	NOUN
ejpam-6341	309	14	(	(	PUNCT
ejpam-6341	309	15	xp	xp	INTJ
ejpam-6341	309	16	,	,	PUNCT
ejpam-6341	309	17	yp	yp	NOUN
ejpam-6341	309	18	)	)	PUNCT
ejpam-6341	309	19	are	be	AUX
ejpam-6341	309	20	either	either	CCONJ
ejpam-6341	309	21	minimum	minimum	ADJ
ejpam-6341	309	22	or	or	CCONJ
ejpam-6341	309	23	maximum	maximum	ADJ
ejpam-6341	309	24	for	for	ADP
ejpam-6341	309	25	the	the	DET
ejpam-6341	309	26	pf	pf	PROPN
ejpam-6341	309	27	(	(	PUNCT
ejpam-6341	309	28	2	2	NUM
ejpam-6341	309	29	)	)	PUNCT
ejpam-6341	309	30	.	.	PUNCT
ejpam-6341	310	1	this	this	DET
ejpam-6341	310	2	condition	condition	NOUN
ejpam-6341	310	3	with	with	ADP
ejpam-6341	310	4	the	the	DET
ejpam-6341	310	5	inequality	inequality	NOUN
ejpam-6341	310	6	γ	γ	NOUN
ejpam-6341	310	7	+	+	X
ejpam-6341	310	8	κ	κ	X
ejpam-6341	310	9	>	>	X
ejpam-6341	310	10	2	2	NUM
ejpam-6341	310	11	√	√	PROPN
ejpam-6341	310	12	γκ−	γκ−	PROPN
ejpam-6341	310	13	µ2	µ2	NOUN
ejpam-6341	310	14	gives	give	VERB
ejpam-6341	310	15	the	the	DET
ejpam-6341	310	16	equilibrium	equilibrium	NOUN
ejpam-6341	310	17	stability	stability	NOUN
ejpam-6341	310	18	condition	condition	NOUN
ejpam-6341	310	19	(	(	PUNCT
ejpam-6341	310	20	xp	xp	INTJ
ejpam-6341	310	21	,	,	PUNCT
ejpam-6341	310	22	yp	yp	PROPN
ejpam-6341	310	23	)	)	PUNCT
ejpam-6341	310	24	(	(	PUNCT
ejpam-6341	310	25	i.e.	i.e.	X
ejpam-6341	310	26	,	,	PUNCT
ejpam-6341	310	27	the	the	DET
ejpam-6341	310	28	roots	root	NOUN
ejpam-6341	310	29	of	of	ADP
ejpam-6341	310	30	the	the	DET
ejpam-6341	310	31	frequency	frequency	NOUN
ejpam-6341	310	32	are	be	AUX
ejpam-6341	310	33	pure	pure	ADJ
ejpam-6341	310	34	imaginary	imaginary	ADJ
ejpam-6341	310	35	)	)	PUNCT
ejpam-6341	310	36	,	,	PUNCT
ejpam-6341	310	37	consequently	consequently	ADV
ejpam-6341	310	38	there	there	PRON
ejpam-6341	310	39	are	be	VERB
ejpam-6341	310	40	two	two	NUM
ejpam-6341	310	41	families	family	NOUN
ejpam-6341	310	42	of	of	ADP
ejpam-6341	310	43	ps	ps	NOUN
ejpam-6341	310	44	around	around	ADP
ejpam-6341	310	45	the	the	DET
ejpam-6341	310	46	minimum	minimum	ADJ
ejpam-6341	310	47	stable	stable	ADJ
ejpam-6341	310	48	points	point	NOUN
ejpam-6341	310	49	.	.	PUNCT
ejpam-6341	311	1	5	5	X
ejpam-6341	311	2	.	.	X
ejpam-6341	311	3	conclusion	conclusion	NOUN
ejpam-6341	311	4	the	the	DET
ejpam-6341	311	5	present	present	ADJ
ejpam-6341	311	6	study	study	NOUN
ejpam-6341	311	7	investigates	investigate	VERB
ejpam-6341	311	8	the	the	DET
ejpam-6341	311	9	comprehensive	comprehensive	ADJ
ejpam-6341	311	10	characterization	characterization	NOUN
ejpam-6341	311	11	of	of	ADP
ejpam-6341	311	12	two	two	NUM
ejpam-6341	311	13	galactic	galactic	ADJ
ejpam-6341	311	14	motion	motion	NOUN
ejpam-6341	311	15	models	model	NOUN
ejpam-6341	311	16	.	.	PUNCT
ejpam-6341	312	1	the	the	DET
ejpam-6341	312	2	topological	topological	ADJ
ejpam-6341	312	3	type	type	NOUN
ejpam-6341	312	4	of	of	ADP
ejpam-6341	312	5	the	the	DET
ejpam-6341	312	6	ls	ls	PROPN
ejpam-6341	312	7	is	be	AUX
ejpam-6341	312	8	introduced	introduce	VERB
ejpam-6341	312	9	,	,	PUNCT
ejpam-6341	312	10	which	which	PRON
ejpam-6341	312	11	is	be	AUX
ejpam-6341	312	12	a	a	DET
ejpam-6341	312	13	torus	torus	NOUN
ejpam-6341	312	14	or	or	CCONJ
ejpam-6341	312	15	an	an	DET
ejpam-6341	312	16	empty	empty	ADJ
ejpam-6341	312	17	set	set	NOUN
ejpam-6341	312	18	.	.	PUNCT
ejpam-6341	313	1	moreover	moreover	ADV
ejpam-6341	313	2	,	,	PUNCT
ejpam-6341	313	3	the	the	DET
ejpam-6341	313	4	ps	ps	PROPN
ejpam-6341	313	5	of	of	ADP
ejpam-6341	313	6	the	the	DET
ejpam-6341	313	7	two	two	NUM
ejpam-6341	313	8	models	model	NOUN
ejpam-6341	313	9	is	be	AUX
ejpam-6341	313	10	obtained	obtain	VERB
ejpam-6341	313	11	.	.	PUNCT
ejpam-6341	314	1	the	the	DET
ejpam-6341	314	2	phase	phase	NOUN
ejpam-6341	314	3	portrait	portrait	NOUN
ejpam-6341	314	4	of	of	ADP
ejpam-6341	314	5	separated	separate	VERB
ejpam-6341	314	6	functions	function	NOUN
ejpam-6341	314	7	is	be	AUX
ejpam-6341	314	8	analyzed	analyze	VERB
ejpam-6341	314	9	and	and	CCONJ
ejpam-6341	314	10	through	through	ADP
ejpam-6341	314	11	it	it	PRON
ejpam-6341	314	12	,	,	PUNCT
ejpam-6341	314	13	we	we	PRON
ejpam-6341	314	14	get	get	VERB
ejpam-6341	314	15	the	the	DET
ejpam-6341	314	16	singular	singular	ADJ
ejpam-6341	314	17	points	point	NOUN
ejpam-6341	314	18	that	that	PRON
ejpam-6341	314	19	are	be	AUX
ejpam-6341	314	20	elliptic	elliptic	ADJ
ejpam-6341	314	21	and	and	CCONJ
ejpam-6341	314	22	hyperbolic	hyperbolic	ADJ
ejpam-6341	314	23	.	.	PUNCT
ejpam-6341	315	1	the	the	DET
ejpam-6341	315	2	elliptic	elliptic	ADJ
ejpam-6341	315	3	points	point	NOUN
ejpam-6341	315	4	are	be	AUX
ejpam-6341	315	5	found	find	VERB
ejpam-6341	315	6	to	to	PART
ejpam-6341	315	7	exhibit	exhibit	VERB
ejpam-6341	315	8	stability	stability	NOUN
ejpam-6341	315	9	,	,	PUNCT
ejpam-6341	315	10	while	while	SCONJ
ejpam-6341	315	11	the	the	DET
ejpam-6341	315	12	remaining	remain	VERB
ejpam-6341	315	13	points	point	NOUN
ejpam-6341	315	14	demonstrate	demonstrate	VERB
ejpam-6341	315	15	instability	instability	NOUN
ejpam-6341	315	16	.	.	PUNCT
ejpam-6341	316	1	the	the	DET
ejpam-6341	316	2	lyapunov	lyapunov	PROPN
ejpam-6341	316	3	theorem	theorem	VERB
ejpam-6341	316	4	[	[	X
ejpam-6341	316	5	42	42	NUM
ejpam-6341	316	6	]	]	PUNCT
ejpam-6341	316	7	is	be	AUX
ejpam-6341	316	8	applied	apply	VERB
ejpam-6341	316	9	to	to	PART
ejpam-6341	316	10	study	study	VERB
ejpam-6341	316	11	the	the	DET
ejpam-6341	316	12	ps	ps	NOUN
ejpam-6341	316	13	.	.	PUNCT
ejpam-6341	317	1	moreover	moreover	ADV
ejpam-6341	317	2	,	,	PUNCT
ejpam-6341	317	3	we	we	PRON
ejpam-6341	317	4	have	have	AUX
ejpam-6341	317	5	obtained	obtain	VERB
ejpam-6341	317	6	two	two	NUM
ejpam-6341	317	7	families	family	NOUN
ejpam-6341	317	8	of	of	ADP
ejpam-6341	317	9	ps	ps	PROPN
ejpam-6341	317	10	around	around	ADP
ejpam-6341	317	11	the	the	DET
ejpam-6341	317	12	stable	stable	ADJ
ejpam-6341	317	13	equilibrium	equilibrium	NOUN
ejpam-6341	317	14	point	point	NOUN
ejpam-6341	317	15	,	,	PUNCT
ejpam-6341	317	16	whereas	whereas	SCONJ
ejpam-6341	317	17	each	each	DET
ejpam-6341	317	18	pf	pf	NOUN
ejpam-6341	317	19	has	have	VERB
ejpam-6341	317	20	one	one	NUM
ejpam-6341	317	21	family	family	NOUN
ejpam-6341	317	22	that	that	PRON
ejpam-6341	317	23	is	be	AUX
ejpam-6341	317	24	near	near	ADJ
ejpam-6341	317	25	to	to	ADP
ejpam-6341	317	26	the	the	DET
ejpam-6341	317	27	saddle	saddle	NOUN
ejpam-6341	317	28	points	point	NOUN
ejpam-6341	317	29	.	.	PUNCT
ejpam-6341	318	1	the	the	DET
ejpam-6341	318	2	outcomes	outcome	NOUN
ejpam-6341	318	3	of	of	ADP
ejpam-6341	318	4	this	this	DET
ejpam-6341	318	5	research	research	NOUN
ejpam-6341	318	6	are	be	AUX
ejpam-6341	318	7	applicable	applicable	ADJ
ejpam-6341	318	8	in	in	ADP
ejpam-6341	318	9	celestial	celestial	ADJ
ejpam-6341	318	10	mechanics	mechanic	NOUN
ejpam-6341	318	11	and	and	CCONJ
ejpam-6341	318	12	astrodynamics	astrodynamic	NOUN
ejpam-6341	318	13	,	,	PUNCT
ejpam-6341	318	14	particularly	particularly	ADV
ejpam-6341	318	15	for	for	ADP
ejpam-6341	318	16	modeling	model	VERB
ejpam-6341	318	17	gravitational	gravitational	ADJ
ejpam-6341	318	18	interactions	interaction	NOUN
ejpam-6341	318	19	between	between	ADP
ejpam-6341	318	20	celestial	celestial	ADJ
ejpam-6341	318	21	bodies	body	NOUN
ejpam-6341	318	22	like	like	ADP
ejpam-6341	318	23	planets	planet	NOUN
ejpam-6341	318	24	and	and	CCONJ
ejpam-6341	318	25	asteroids	asteroid	NOUN
ejpam-6341	318	26	.	.	PUNCT
ejpam-6341	319	1	by	by	ADP
ejpam-6341	319	2	classifying	classify	VERB
ejpam-6341	319	3	singular	singular	ADJ
ejpam-6341	319	4	points	point	NOUN
ejpam-6341	319	5	and	and	CCONJ
ejpam-6341	319	6	examining	examine	VERB
ejpam-6341	319	7	phase	phase	NOUN
ejpam-6341	319	8	portraits	portrait	NOUN
ejpam-6341	319	9	,	,	PUNCT
ejpam-6341	319	10	the	the	DET
ejpam-6341	319	11	study	study	NOUN
ejpam-6341	319	12	also	also	ADV
ejpam-6341	319	13	provides	provide	VERB
ejpam-6341	319	14	tools	tool	NOUN
ejpam-6341	319	15	for	for	ADP
ejpam-6341	319	16	understanding	understand	VERB
ejpam-6341	319	17	chaotic	chaotic	ADJ
ejpam-6341	319	18	behaviors	behavior	NOUN
ejpam-6341	319	19	in	in	ADP
ejpam-6341	319	20	weather	weather	NOUN
ejpam-6341	319	21	forecasting	forecasting	NOUN
ejpam-6341	319	22	and	and	CCONJ
ejpam-6341	319	23	economic	economic	ADJ
ejpam-6341	319	24	modeling	modeling	NOUN
ejpam-6341	319	25	.	.	PUNCT
ejpam-6341	320	1	additionally	additionally	ADV
ejpam-6341	320	2	,	,	PUNCT
ejpam-6341	320	3	the	the	DET
ejpam-6341	320	4	analysis	analysis	NOUN
ejpam-6341	320	5	of	of	ADP
ejpam-6341	320	6	bifurcations	bifurcation	NOUN
ejpam-6341	320	7	and	and	CCONJ
ejpam-6341	320	8	ps	ps	NOUN
ejpam-6341	320	9	supports	support	VERB
ejpam-6341	320	10	advancements	advancement	NOUN
ejpam-6341	320	11	in	in	ADP
ejpam-6341	320	12	robotics	robotic	NOUN
ejpam-6341	320	13	and	and	CCONJ
ejpam-6341	320	14	automation	automation	NOUN
ejpam-6341	320	15	systems	system	NOUN
ejpam-6341	320	16	.	.	PUNCT
ejpam-6341	321	1	authors	author	NOUN
ejpam-6341	321	2	statements	statement	VERB
ejpam-6341	321	3	t.	t.	PROPN
ejpam-6341	321	4	s.	s.	PROPN
ejpam-6341	321	5	amer	amer	PROPN
ejpam-6341	321	6	:	:	PUNCT
ejpam-6341	321	7	methodology	methodology	NOUN
ejpam-6341	321	8	,	,	PUNCT
ejpam-6341	321	9	data	data	NOUN
ejpam-6341	321	10	curation	curation	NOUN
ejpam-6341	321	11	,	,	PUNCT
ejpam-6341	321	12	visualization	visualization	NOUN
ejpam-6341	321	13	,	,	PUNCT
ejpam-6341	321	14	conceptualization	conceptualization	NOUN
ejpam-6341	321	15	,	,	PUNCT
ejpam-6341	321	16	writing	writing	NOUN
ejpam-6341	321	17	,	,	PUNCT
ejpam-6341	321	18	reviewing	reviewing	NOUN
ejpam-6341	321	19	,	,	PUNCT
ejpam-6341	321	20	editing	editing	NOUN
ejpam-6341	321	21	.	.	PUNCT
ejpam-6341	322	1	f.	f.	PROPN
ejpam-6341	322	2	m.	m.	PROPN
ejpam-6341	323	1	el	el	PROPN
ejpam-6341	323	2	-	-	PROPN
ejpam-6341	323	3	saba	saba	PROPN
ejpam-6341	323	4	:	:	PUNCT
ejpam-6341	323	5	methodology	methodology	NOUN
ejpam-6341	323	6	,	,	PUNCT
ejpam-6341	323	7	validation	validation	NOUN
ejpam-6341	323	8	,	,	PUNCT
ejpam-6341	323	9	visualization	visualization	NOUN
ejpam-6341	323	10	,	,	PUNCT
ejpam-6341	323	11	conceptualization	conceptualization	NOUN
ejpam-6341	323	12	.	.	PUNCT
ejpam-6341	324	1	m.	m.	NOUN
ejpam-6341	324	2	fakharany	fakharany	NOUN
ejpam-6341	324	3	:	:	PUNCT
ejpam-6341	324	4	methodology	methodology	NOUN
ejpam-6341	324	5	,	,	PUNCT
ejpam-6341	324	6	conceptualization	conceptualization	NOUN
ejpam-6341	324	7	,	,	PUNCT
ejpam-6341	324	8	resources	resource	NOUN
ejpam-6341	324	9	,	,	PUNCT
ejpam-6341	324	10	reviewing	reviewing	NOUN
ejpam-6341	324	11	.	.	PUNCT
ejpam-6341	325	1	h.	h.	PROPN
ejpam-6341	325	2	m.	m.	PROPN
ejpam-6341	325	3	gad	gad	PROPN
ejpam-6341	325	4	:	:	PUNCT
ejpam-6341	325	5	methodology	methodology	NOUN
ejpam-6341	325	6	,	,	PUNCT
ejpam-6341	325	7	conceptualization	conceptualization	NOUN
ejpam-6341	325	8	,	,	PUNCT
ejpam-6341	325	9	investigation	investigation	NOUN
ejpam-6341	325	10	,	,	PUNCT
ejpam-6341	325	11	data	data	NOUN
ejpam-6341	325	12	curation	curation	NOUN
ejpam-6341	325	13	,	,	PUNCT
ejpam-6341	325	14	writing	write	VERB
ejpam-6341	325	15	original	original	ADJ
ejpam-6341	325	16	draft	draft	NOUN
ejpam-6341	325	17	.	.	PUNCT
ejpam-6341	326	1	conflict	conflict	NOUN
ejpam-6341	326	2	of	of	ADP
ejpam-6341	326	3	interest	interest	NOUN
ejpam-6341	326	4	the	the	DET
ejpam-6341	326	5	authors	author	NOUN
ejpam-6341	326	6	declare	declare	VERB
ejpam-6341	326	7	that	that	SCONJ
ejpam-6341	326	8	they	they	PRON
ejpam-6341	326	9	have	have	VERB
ejpam-6341	326	10	no	no	DET
ejpam-6341	326	11	conflict	conflict	NOUN
ejpam-6341	326	12	of	of	ADP
ejpam-6341	326	13	interest	interest	NOUN
ejpam-6341	326	14	.	.	PUNCT
ejpam-6341	327	1	t.	t.	PROPN
ejpam-6341	327	2	s.	s.	PROPN
ejpam-6341	327	3	amer	amer	PROPN
ejpam-6341	327	4	et	et	PROPN
ejpam-6341	327	5	al	al	PROPN
ejpam-6341	327	6	.	.	PUNCT
ejpam-6341	327	7	/	/	SYM
ejpam-6341	327	8	eur	eur	PROPN
ejpam-6341	327	9	.	.	PUNCT
ejpam-6341	328	1	j.	j.	PROPN
ejpam-6341	328	2	pure	pure	PROPN
ejpam-6341	328	3	appl	appl	PROPN
ejpam-6341	328	4	.	.	PROPN
ejpam-6341	328	5	math	math	PROPN
ejpam-6341	328	6	,	,	PUNCT
ejpam-6341	328	7	18	18	NUM
ejpam-6341	328	8	(	(	PUNCT
ejpam-6341	328	9	3	3	NUM
ejpam-6341	328	10	)	)	PUNCT
ejpam-6341	328	11	(	(	PUNCT
ejpam-6341	328	12	2025	2025	NUM
ejpam-6341	328	13	)	)	PUNCT
ejpam-6341	328	14	,	,	PUNCT
ejpam-6341	328	15	6341	6341	NUM
ejpam-6341	328	16	19	19	NUM
ejpam-6341	328	17	of	of	ADP
ejpam-6341	328	18	22	22	NUM
ejpam-6341	328	19	funding	funding	NOUN
ejpam-6341	328	20	acknowledgement	acknowledgement	NOUN
ejpam-6341	328	21	this	this	DET
ejpam-6341	328	22	research	research	NOUN
ejpam-6341	328	23	received	receive	VERB
ejpam-6341	328	24	no	no	DET
ejpam-6341	328	25	specific	specific	ADJ
ejpam-6341	328	26	grant	grant	NOUN
ejpam-6341	328	27	from	from	ADP
ejpam-6341	328	28	any	any	DET
ejpam-6341	328	29	funding	funding	NOUN
ejpam-6341	328	30	agency	agency	NOUN
ejpam-6341	328	31	in	in	ADP
ejpam-6341	328	32	the	the	DET
ejpam-6341	328	33	public	public	ADJ
ejpam-6341	328	34	,	,	PUNCT
ejpam-6341	328	35	commercial	commercial	ADJ
ejpam-6341	328	36	,	,	PUNCT
ejpam-6341	328	37	or	or	CCONJ
ejpam-6341	328	38	not	not	PART
ejpam-6341	328	39	-	-	PUNCT
ejpam-6341	328	40	for	for	ADP
ejpam-6341	328	41	-	-	PUNCT
ejpam-6341	328	42	profit	profit	NOUN
ejpam-6341	328	43	sectors	sector	NOUN
ejpam-6341	328	44	.	.	PUNCT
ejpam-6341	329	1	data	datum	NOUN
ejpam-6341	329	2	availability	availability	NOUN
ejpam-6341	329	3	data	datum	NOUN
ejpam-6341	329	4	sharing	share	VERB
ejpam-6341	329	5	not	not	PART
ejpam-6341	329	6	applicable	applicable	ADJ
ejpam-6341	329	7	to	to	ADP
ejpam-6341	329	8	this	this	DET
ejpam-6341	329	9	article	article	NOUN
ejpam-6341	329	10	as	as	SCONJ
ejpam-6341	329	11	no	no	DET
ejpam-6341	329	12	datasets	dataset	NOUN
ejpam-6341	329	13	were	be	AUX
ejpam-6341	329	14	generated	generate	VERB
ejpam-6341	329	15	or	or	CCONJ
ejpam-6341	329	16	analyzed	analyze	VERB
ejpam-6341	329	17	during	during	ADP
ejpam-6341	329	18	the	the	DET
ejpam-6341	329	19	current	current	ADJ
ejpam-6341	329	20	study	study	NOUN
ejpam-6341	329	21	.	.	PUNCT
ejpam-6341	330	1	references	reference	NOUN
ejpam-6341	330	2	[	[	X
ejpam-6341	330	3	1	1	NUM
ejpam-6341	330	4	]	]	PUNCT
ejpam-6341	330	5	michel	michel	PROPN
ejpam-6341	330	6	hénon	hénon	PROPN
ejpam-6341	330	7	and	and	CCONJ
ejpam-6341	330	8	carl	carl	PROPN
ejpam-6341	330	9	heiles	heile	NOUN
ejpam-6341	330	10	.	.	PUNCT
ejpam-6341	331	1	the	the	DET
ejpam-6341	331	2	applicability	applicability	NOUN
ejpam-6341	331	3	of	of	ADP
ejpam-6341	331	4	the	the	DET
ejpam-6341	331	5	third	third	ADJ
ejpam-6341	331	6	integral	integral	NOUN
ejpam-6341	331	7	of	of	ADP
ejpam-6341	331	8	motion	motion	NOUN
ejpam-6341	331	9	:	:	PUNCT
ejpam-6341	331	10	some	some	DET
ejpam-6341	331	11	numerical	numerical	ADJ
ejpam-6341	331	12	experiments	experiment	NOUN
ejpam-6341	331	13	.	.	PUNCT
ejpam-6341	332	1	astronomical	astronomical	ADJ
ejpam-6341	332	2	journal	journal	NOUN
ejpam-6341	332	3	,	,	PUNCT
ejpam-6341	332	4	69:73–79	69:73–79	NUM
ejpam-6341	332	5	,	,	PUNCT
ejpam-6341	332	6	1964	1964	NUM
ejpam-6341	332	7	.	.	PUNCT
ejpam-6341	333	1	[	[	X
ejpam-6341	333	2	2	2	X
ejpam-6341	333	3	]	]	X
ejpam-6341	333	4	g.	g.	PROPN
ejpam-6341	333	5	contopoulos	contopoulos	PROPN
ejpam-6341	333	6	and	and	CCONJ
ejpam-6341	333	7	c.	c.	PROPN
ejpam-6341	333	8	polymilis	polymilis	PROPN
ejpam-6341	333	9	.	.	PUNCT
ejpam-6341	334	1	approximations	approximation	NOUN
ejpam-6341	334	2	of	of	ADP
ejpam-6341	334	3	the	the	DET
ejpam-6341	334	4	3	3	NUM
ejpam-6341	334	5	-	-	PUNCT
ejpam-6341	334	6	particle	particle	NOUN
ejpam-6341	334	7	toda	toda	PROPN
ejpam-6341	334	8	lattice	lattice	PROPN
ejpam-6341	334	9	.	.	PUNCT
ejpam-6341	335	1	physica	physica	PROPN
ejpam-6341	335	2	d	d	NOUN
ejpam-6341	335	3	:	:	PUNCT
ejpam-6341	335	4	nonlinear	nonlinear	ADJ
ejpam-6341	335	5	phenomena	phenomenon	NOUN
ejpam-6341	335	6	,	,	PUNCT
ejpam-6341	335	7	24(1	24(1	NOUN
ejpam-6341	335	8	-	-	SYM
ejpam-6341	335	9	3):328–342	3):328–342	NUM
ejpam-6341	335	10	,	,	PUNCT
ejpam-6341	335	11	1987	1987	NUM
ejpam-6341	335	12	.	.	PUNCT
ejpam-6341	336	1	publisher	publisher	NOUN
ejpam-6341	336	2	:	:	PUNCT
ejpam-6341	336	3	elsevier	elsevier	PROPN
ejpam-6341	336	4	bv	bv	PROPN
ejpam-6341	336	5	.	.	PROPN
ejpam-6341	337	1	[	[	X
ejpam-6341	337	2	3	3	NUM
ejpam-6341	337	3	]	]	X
ejpam-6341	337	4	morikazu	morikazu	NOUN
ejpam-6341	337	5	toda	toda	PROPN
ejpam-6341	337	6	.	.	PUNCT
ejpam-6341	338	1	vibration	vibration	NOUN
ejpam-6341	338	2	of	of	ADP
ejpam-6341	338	3	a	a	DET
ejpam-6341	338	4	chain	chain	NOUN
ejpam-6341	338	5	with	with	ADP
ejpam-6341	338	6	nonlinear	nonlinear	ADJ
ejpam-6341	338	7	interaction	interaction	NOUN
ejpam-6341	338	8	.	.	PUNCT
ejpam-6341	339	1	journal	journal	NOUN
ejpam-6341	339	2	of	of	ADP
ejpam-6341	339	3	the	the	DET
ejpam-6341	339	4	physical	physical	ADJ
ejpam-6341	339	5	society	society	NOUN
ejpam-6341	339	6	of	of	ADP
ejpam-6341	339	7	japan	japan	PROPN
ejpam-6341	339	8	,	,	PUNCT
ejpam-6341	339	9	22(2):431–436	22(2):431–436	NUM
ejpam-6341	339	10	,	,	PUNCT
ejpam-6341	339	11	1967	1967	NUM
ejpam-6341	339	12	.	.	PUNCT
ejpam-6341	340	1	publisher	publisher	NOUN
ejpam-6341	340	2	:	:	PUNCT
ejpam-6341	340	3	physical	physical	ADJ
ejpam-6341	340	4	society	society	NOUN
ejpam-6341	340	5	of	of	ADP
ejpam-6341	340	6	japan	japan	PROPN
ejpam-6341	340	7	.	.	PUNCT
ejpam-6341	341	1	[	[	X
ejpam-6341	341	2	4	4	X
ejpam-6341	341	3	]	]	PUNCT
ejpam-6341	341	4	dante	dante	PROPN
ejpam-6341	341	5	carrasco	carrasco	PROPN
ejpam-6341	341	6	and	and	CCONJ
ejpam-6341	341	7	claudio	claudio	NOUN
ejpam-6341	341	8	vidal	vidal	NOUN
ejpam-6341	341	9	.	.	PUNCT
ejpam-6341	342	1	periodic	periodic	ADJ
ejpam-6341	342	2	solutions	solution	NOUN
ejpam-6341	342	3	,	,	PUNCT
ejpam-6341	342	4	stability	stability	NOUN
ejpam-6341	342	5	and	and	CCONJ
ejpam-6341	342	6	non	non	ADJ
ejpam-6341	342	7	-	-	NOUN
ejpam-6341	342	8	integrability	integrability	NOUN
ejpam-6341	342	9	in	in	ADP
ejpam-6341	342	10	a	a	DET
ejpam-6341	342	11	generalized	generalized	ADJ
ejpam-6341	342	12	hénon	hénon	NOUN
ejpam-6341	342	13	-	-	PUNCT
ejpam-6341	342	14	heiles	heile	NOUN
ejpam-6341	342	15	hamiltonian	hamiltonian	ADJ
ejpam-6341	342	16	system	system	NOUN
ejpam-6341	342	17	.	.	PUNCT
ejpam-6341	343	1	journal	journal	PROPN
ejpam-6341	343	2	of	of	ADP
ejpam-6341	343	3	nonlinear	nonlinear	PROPN
ejpam-6341	343	4	mathematical	mathematical	ADJ
ejpam-6341	343	5	physics	physics	NOUN
ejpam-6341	343	6	,	,	PUNCT
ejpam-6341	343	7	20(2):199	20(2):199	NUM
ejpam-6341	343	8	,	,	PUNCT
ejpam-6341	343	9	2021	2021	NUM
ejpam-6341	343	10	.	.	PUNCT
ejpam-6341	344	1	publisher	publisher	NOUN
ejpam-6341	344	2	:	:	PUNCT
ejpam-6341	344	3	springer	springer	NOUN
ejpam-6341	344	4	science	science	NOUN
ejpam-6341	344	5	and	and	CCONJ
ejpam-6341	344	6	business	business	NOUN
ejpam-6341	344	7	media	medium	NOUN
ejpam-6341	344	8	llc	llc	PROPN
ejpam-6341	344	9	.	.	PUNCT
ejpam-6341	345	1	[	[	X
ejpam-6341	345	2	5	5	NUM
ejpam-6341	345	3	]	]	X
ejpam-6341	345	4	philip	philip	PROPN
ejpam-6341	345	5	holmes	holmes	PROPN
ejpam-6341	345	6	.	.	PUNCT
ejpam-6341	346	1	proof	proof	NOUN
ejpam-6341	346	2	of	of	ADP
ejpam-6341	346	3	non	non	NOUN
ejpam-6341	346	4	-	-	NOUN
ejpam-6341	346	5	integrability	integrability	NOUN
ejpam-6341	346	6	for	for	ADP
ejpam-6341	346	7	the	the	DET
ejpam-6341	346	8	hénon	hénon	NOUN
ejpam-6341	346	9	-	-	PUNCT
ejpam-6341	346	10	heiles	heile	NOUN
ejpam-6341	346	11	hamiltonian	hamiltonian	NOUN
ejpam-6341	346	12	near	near	ADP
ejpam-6341	346	13	an	an	DET
ejpam-6341	346	14	exceptional	exceptional	ADJ
ejpam-6341	346	15	integrable	integrable	ADJ
ejpam-6341	346	16	case	case	NOUN
ejpam-6341	346	17	.	.	PUNCT
ejpam-6341	347	1	physica	physica	NOUN
ejpam-6341	347	2	d	d	NOUN
ejpam-6341	347	3	:	:	PUNCT
ejpam-6341	347	4	nonlinear	nonlinear	ADJ
ejpam-6341	347	5	phenomena	phenomenon	NOUN
ejpam-6341	347	6	,	,	PUNCT
ejpam-6341	347	7	5(2	5(2	NUM
ejpam-6341	347	8	-	-	SYM
ejpam-6341	347	9	3):335–347	3):335–347	NUM
ejpam-6341	347	10	,	,	PUNCT
ejpam-6341	347	11	september	september	PROPN
ejpam-6341	347	12	1982	1982	NUM
ejpam-6341	347	13	.	.	PUNCT
ejpam-6341	348	1	publisher	publisher	NOUN
ejpam-6341	348	2	:	:	PUNCT
ejpam-6341	348	3	elsevier	elsevier	PROPN
ejpam-6341	348	4	bv	bv	PROPN
ejpam-6341	348	5	.	.	PROPN
ejpam-6341	349	1	[	[	X
ejpam-6341	349	2	6	6	NUM
ejpam-6341	349	3	]	]	PUNCT
ejpam-6341	349	4	jaume	jaume	PROPN
ejpam-6341	349	5	llibre	llibre	PROPN
ejpam-6341	349	6	and	and	CCONJ
ejpam-6341	349	7	lidia	lidia	PROPN
ejpam-6341	349	8	jiménez	jiménez	PROPN
ejpam-6341	349	9	-	-	PUNCT
ejpam-6341	349	10	lara	lara	PROPN
ejpam-6341	349	11	.	.	PUNCT
ejpam-6341	350	1	periodic	periodic	ADJ
ejpam-6341	350	2	orbits	orbit	NOUN
ejpam-6341	350	3	and	and	CCONJ
ejpam-6341	350	4	non	non	NOUN
ejpam-6341	350	5	-	-	NOUN
ejpam-6341	350	6	integrability	integrability	NOUN
ejpam-6341	350	7	of	of	ADP
ejpam-6341	350	8	hénon	hénon	NOUN
ejpam-6341	350	9	–	–	PUNCT
ejpam-6341	350	10	heiles	heile	VERB
ejpam-6341	350	11	systems	system	NOUN
ejpam-6341	350	12	.	.	PUNCT
ejpam-6341	351	1	journal	journal	PROPN
ejpam-6341	351	2	of	of	ADP
ejpam-6341	351	3	physics	physics	PROPN
ejpam-6341	351	4	a	a	PRON
ejpam-6341	351	5	:	:	PUNCT
ejpam-6341	351	6	mathematical	mathematical	ADJ
ejpam-6341	351	7	and	and	CCONJ
ejpam-6341	351	8	theoretical	theoretical	ADJ
ejpam-6341	351	9	,	,	PUNCT
ejpam-6341	351	10	44(20):205103	44(20):205103	NUM
ejpam-6341	351	11	,	,	PUNCT
ejpam-6341	351	12	2011	2011	NUM
ejpam-6341	351	13	.	.	PUNCT
ejpam-6341	352	1	publisher	publisher	NOUN
ejpam-6341	352	2	:	:	PUNCT
ejpam-6341	352	3	iop	iop	NOUN
ejpam-6341	352	4	publishing	publishing	NOUN
ejpam-6341	352	5	.	.	PUNCT
ejpam-6341	353	1	[	[	X
ejpam-6341	353	2	7	7	X
ejpam-6341	353	3	]	]	X
ejpam-6341	353	4	mordechai	mordechai	PROPN
ejpam-6341	353	5	bixon	bixon	PROPN
ejpam-6341	353	6	and	and	CCONJ
ejpam-6341	353	7	joshua	joshua	PROPN
ejpam-6341	353	8	jortner	jortner	PROPN
ejpam-6341	353	9	.	.	PUNCT
ejpam-6341	354	1	quantum	quantum	ADJ
ejpam-6341	354	2	dynamics	dynamic	NOUN
ejpam-6341	354	3	of	of	ADP
ejpam-6341	354	4	the	the	DET
ejpam-6341	354	5	henon	henon	NOUN
ejpam-6341	354	6	–	–	PUNCT
ejpam-6341	354	7	heiles	heile	NOUN
ejpam-6341	354	8	system	system	NOUN
ejpam-6341	354	9	.	.	PUNCT
ejpam-6341	355	1	the	the	DET
ejpam-6341	355	2	journal	journal	PROPN
ejpam-6341	355	3	of	of	ADP
ejpam-6341	355	4	chemical	chemical	PROPN
ejpam-6341	355	5	physics	physics	PROPN
ejpam-6341	355	6	,	,	PUNCT
ejpam-6341	355	7	77(8):4175–4187	77(8):4175–4187	NUM
ejpam-6341	355	8	,	,	PUNCT
ejpam-6341	355	9	1982	1982	NUM
ejpam-6341	355	10	.	.	PUNCT
ejpam-6341	356	1	publisher	publisher	NOUN
ejpam-6341	356	2	:	:	PUNCT
ejpam-6341	356	3	aip	aip	PROPN
ejpam-6341	356	4	publishing	publishing	NOUN
ejpam-6341	356	5	.	.	PUNCT
ejpam-6341	357	1	[	[	X
ejpam-6341	357	2	8	8	NUM
ejpam-6341	357	3	]	]	X
ejpam-6341	357	4	a.i	a.i	PROPN
ejpam-6341	357	5	.	.	PROPN
ejpam-6341	357	6	akhiezer	akhiezer	PROPN
ejpam-6341	357	7	,	,	PUNCT
ejpam-6341	357	8	v.i	v.i	PROPN
ejpam-6341	357	9	.	.	PROPN
ejpam-6341	357	10	truten	truten	PROPN
ejpam-6341	357	11	’	'	PUNCT
ejpam-6341	357	12	,	,	PUNCT
ejpam-6341	357	13	and	and	CCONJ
ejpam-6341	357	14	n.f	n.f	PROPN
ejpam-6341	357	15	.	.	PROPN
ejpam-6341	357	16	shul’ga	shul’ga	PROPN
ejpam-6341	357	17	.	.	PUNCT
ejpam-6341	358	1	dynamic	dynamic	ADJ
ejpam-6341	358	2	chaos	chaos	NOUN
ejpam-6341	358	3	in	in	ADP
ejpam-6341	358	4	the	the	DET
ejpam-6341	358	5	motion	motion	NOUN
ejpam-6341	358	6	of	of	ADP
ejpam-6341	358	7	charged	charge	VERB
ejpam-6341	358	8	particles	particle	NOUN
ejpam-6341	358	9	through	through	ADP
ejpam-6341	358	10	a	a	DET
ejpam-6341	358	11	crystal	crystal	NOUN
ejpam-6341	358	12	.	.	PUNCT
ejpam-6341	359	1	physics	physics	NOUN
ejpam-6341	359	2	reports	report	NOUN
ejpam-6341	359	3	,	,	PUNCT
ejpam-6341	359	4	203(5	203(5	NUM
ejpam-6341	359	5	)	)	PUNCT
ejpam-6341	359	6	,	,	PUNCT
ejpam-6341	359	7	may	may	AUX
ejpam-6341	359	8	1991	1991	NUM
ejpam-6341	359	9	.	.	PUNCT
ejpam-6341	360	1	publisher	publisher	NOUN
ejpam-6341	360	2	:	:	PUNCT
ejpam-6341	360	3	elsevier	elsevier	PROPN
ejpam-6341	360	4	bv	bv	PROPN
ejpam-6341	360	5	.	.	PROPN
ejpam-6341	361	1	[	[	X
ejpam-6341	361	2	9	9	NUM
ejpam-6341	361	3	]	]	X
ejpam-6341	361	4	r.	r.	NOUN
ejpam-6341	361	5	rajaraman	rajaraman	NOUN
ejpam-6341	361	6	and	and	CCONJ
ejpam-6341	361	7	erick	erick	PROPN
ejpam-6341	361	8	j.	j.	PROPN
ejpam-6341	361	9	weinberg	weinberg	PROPN
ejpam-6341	361	10	.	.	PUNCT
ejpam-6341	362	1	internal	internal	ADJ
ejpam-6341	362	2	symmetry	symmetry	NOUN
ejpam-6341	362	3	and	and	CCONJ
ejpam-6341	362	4	the	the	DET
ejpam-6341	362	5	semiclassical	semiclassical	ADJ
ejpam-6341	362	6	method	method	NOUN
ejpam-6341	362	7	in	in	ADP
ejpam-6341	362	8	quantum	quantum	ADJ
ejpam-6341	362	9	field	field	NOUN
ejpam-6341	362	10	theory	theory	NOUN
ejpam-6341	362	11	.	.	PUNCT
ejpam-6341	363	1	physical	physical	ADJ
ejpam-6341	363	2	review	review	PROPN
ejpam-6341	363	3	d	d	PROPN
ejpam-6341	363	4	,	,	PUNCT
ejpam-6341	363	5	11(10):2950–2966	11(10):2950–2966	NUM
ejpam-6341	363	6	,	,	PUNCT
ejpam-6341	363	7	1975	1975	NUM
ejpam-6341	363	8	.	.	PUNCT
ejpam-6341	364	1	publisher	publisher	NOUN
ejpam-6341	364	2	:	:	PUNCT
ejpam-6341	364	3	american	american	PROPN
ejpam-6341	364	4	physical	physical	PROPN
ejpam-6341	364	5	society	society	NOUN
ejpam-6341	364	6	(	(	PUNCT
ejpam-6341	364	7	aps	aps	PROPN
ejpam-6341	364	8	)	)	PUNCT
ejpam-6341	364	9	.	.	PUNCT
ejpam-6341	365	1	[	[	X
ejpam-6341	365	2	10	10	NUM
ejpam-6341	365	3	]	]	X
ejpam-6341	365	4	r.	r.	PROPN
ejpam-6341	365	5	dutt	dutt	PROPN
ejpam-6341	365	6	and	and	CCONJ
ejpam-6341	365	7	m.	m.	PROPN
ejpam-6341	365	8	lakshmanan	lakshmanan	PROPN
ejpam-6341	365	9	.	.	PUNCT
ejpam-6341	366	1	application	application	NOUN
ejpam-6341	366	2	of	of	ADP
ejpam-6341	366	3	coherent	coherent	ADJ
ejpam-6341	366	4	state	state	NOUN
ejpam-6341	366	5	representation	representation	NOUN
ejpam-6341	366	6	to	to	ADP
ejpam-6341	366	7	classical	classical	ADJ
ejpam-6341	366	8	x6	x6	PROPN
ejpam-6341	366	9	and	and	CCONJ
ejpam-6341	366	10	coupled	couple	VERB
ejpam-6341	366	11	anharmonic	anharmonic	ADJ
ejpam-6341	366	12	oscillators	oscillator	NOUN
ejpam-6341	366	13	.	.	PUNCT
ejpam-6341	367	1	journal	journal	PROPN
ejpam-6341	367	2	of	of	ADP
ejpam-6341	367	3	mathematical	mathematical	ADJ
ejpam-6341	367	4	physics	physics	NOUN
ejpam-6341	367	5	,	,	PUNCT
ejpam-6341	367	6	17(4):482	17(4):482	NUM
ejpam-6341	367	7	–	–	PUNCT
ejpam-6341	367	8	484	484	NUM
ejpam-6341	367	9	,	,	PUNCT
ejpam-6341	367	10	1976	1976	NUM
ejpam-6341	367	11	.	.	PUNCT
ejpam-6341	368	1	publisher	publisher	NOUN
ejpam-6341	368	2	:	:	PUNCT
ejpam-6341	368	3	aip	aip	PROPN
ejpam-6341	368	4	publishing	publishing	NOUN
ejpam-6341	368	5	.	.	PUNCT
ejpam-6341	369	1	[	[	X
ejpam-6341	369	2	11	11	NUM
ejpam-6341	369	3	]	]	PUNCT
ejpam-6341	369	4	r.	r.	PROPN
ejpam-6341	369	5	friedberg	friedberg	PROPN
ejpam-6341	369	6	,	,	PUNCT
ejpam-6341	369	7	t.	t.	PROPN
ejpam-6341	369	8	d.	d.	PROPN
ejpam-6341	369	9	lee	lee	PROPN
ejpam-6341	369	10	,	,	PUNCT
ejpam-6341	369	11	and	and	CCONJ
ejpam-6341	369	12	a.	a.	PROPN
ejpam-6341	369	13	sirlin	sirlin	PROPN
ejpam-6341	369	14	.	.	PUNCT
ejpam-6341	370	1	class	class	NOUN
ejpam-6341	370	2	of	of	ADP
ejpam-6341	370	3	scalar	scalar	ADJ
ejpam-6341	370	4	-	-	PUNCT
ejpam-6341	370	5	field	field	NOUN
ejpam-6341	370	6	soliton	soliton	NOUN
ejpam-6341	370	7	solutions	solution	NOUN
ejpam-6341	370	8	in	in	ADP
ejpam-6341	370	9	three	three	NUM
ejpam-6341	370	10	space	space	NOUN
ejpam-6341	370	11	dimensions	dimension	NOUN
ejpam-6341	370	12	.	.	PUNCT
ejpam-6341	371	1	physical	physical	ADJ
ejpam-6341	371	2	review	review	PROPN
ejpam-6341	371	3	d	d	PROPN
ejpam-6341	371	4	,	,	PUNCT
ejpam-6341	371	5	13(10):2739–2761	13(10):2739–2761	NUM
ejpam-6341	371	6	,	,	PUNCT
ejpam-6341	371	7	1976	1976	NUM
ejpam-6341	371	8	.	.	PUNCT
ejpam-6341	372	1	publisher	publisher	NOUN
ejpam-6341	372	2	:	:	PUNCT
ejpam-6341	372	3	american	american	PROPN
ejpam-6341	372	4	physical	physical	PROPN
ejpam-6341	372	5	society	society	NOUN
ejpam-6341	372	6	(	(	PUNCT
ejpam-6341	372	7	aps	aps	PROPN
ejpam-6341	372	8	)	)	PUNCT
ejpam-6341	372	9	.	.	PUNCT
ejpam-6341	373	1	t.	t.	PROPN
ejpam-6341	373	2	s.	s.	PROPN
ejpam-6341	373	3	amer	amer	PROPN
ejpam-6341	373	4	et	et	PROPN
ejpam-6341	373	5	al	al	PROPN
ejpam-6341	373	6	.	.	PUNCT
ejpam-6341	373	7	/	/	SYM
ejpam-6341	373	8	eur	eur	PROPN
ejpam-6341	373	9	.	.	PUNCT
ejpam-6341	374	1	j.	j.	PROPN
ejpam-6341	374	2	pure	pure	PROPN
ejpam-6341	374	3	appl	appl	PROPN
ejpam-6341	374	4	.	.	PROPN
ejpam-6341	374	5	math	math	PROPN
ejpam-6341	374	6	,	,	PUNCT
ejpam-6341	374	7	18	18	NUM
ejpam-6341	374	8	(	(	PUNCT
ejpam-6341	374	9	3	3	NUM
ejpam-6341	374	10	)	)	PUNCT
ejpam-6341	374	11	(	(	PUNCT
ejpam-6341	374	12	2025	2025	NUM
ejpam-6341	374	13	)	)	PUNCT
ejpam-6341	374	14	,	,	PUNCT
ejpam-6341	374	15	6341	6341	NUM
ejpam-6341	374	16	20	20	NUM
ejpam-6341	374	17	of	of	ADP
ejpam-6341	374	18	22	22	NUM
ejpam-6341	375	1	[	[	X
ejpam-6341	375	2	12	12	NUM
ejpam-6341	375	3	]	]	X
ejpam-6341	375	4	giuseppe	giuseppe	PROPN
ejpam-6341	375	5	pucacco	pucacco	PROPN
ejpam-6341	375	6	,	,	PUNCT
ejpam-6341	375	7	dino	dino	NOUN
ejpam-6341	375	8	boccaletti	boccaletti	NOUN
ejpam-6341	375	9	,	,	PUNCT
ejpam-6341	375	10	and	and	CCONJ
ejpam-6341	375	11	cinzia	cinzia	PROPN
ejpam-6341	375	12	belmonte	belmonte	PROPN
ejpam-6341	375	13	.	.	PUNCT
ejpam-6341	376	1	quantitative	quantitative	ADJ
ejpam-6341	376	2	predictions	prediction	NOUN
ejpam-6341	376	3	with	with	ADP
ejpam-6341	376	4	detuned	detune	VERB
ejpam-6341	376	5	normal	normal	ADJ
ejpam-6341	376	6	forms	form	NOUN
ejpam-6341	376	7	.	.	PUNCT
ejpam-6341	377	1	celestial	celestial	ADJ
ejpam-6341	377	2	mechanics	mechanic	NOUN
ejpam-6341	377	3	and	and	CCONJ
ejpam-6341	377	4	dynamical	dynamical	ADJ
ejpam-6341	377	5	astronomy	astronomy	NOUN
ejpam-6341	377	6	,	,	PUNCT
ejpam-6341	377	7	102(13):163–176	102(13):163–176	PROPN
ejpam-6341	377	8	,	,	PUNCT
ejpam-6341	377	9	2008	2008	NUM
ejpam-6341	377	10	.	.	PUNCT
ejpam-6341	378	1	publisher	publisher	NOUN
ejpam-6341	378	2	:	:	PUNCT
ejpam-6341	378	3	springer	springer	NOUN
ejpam-6341	378	4	science	science	NOUN
ejpam-6341	378	5	and	and	CCONJ
ejpam-6341	378	6	business	business	NOUN
ejpam-6341	378	7	media	medium	NOUN
ejpam-6341	378	8	llc	llc	PROPN
ejpam-6341	378	9	.	.	PUNCT
ejpam-6341	379	1	[	[	X
ejpam-6341	379	2	13	13	NUM
ejpam-6341	379	3	]	]	SYM
ejpam-6341	379	4	dieter	dieter	NOUN
ejpam-6341	379	5	armbruster	armbruster	NOUN
ejpam-6341	379	6	,	,	PUNCT
ejpam-6341	379	7	john	john	PROPN
ejpam-6341	379	8	guckenheimer	guckenheimer	PROPN
ejpam-6341	379	9	,	,	PUNCT
ejpam-6341	379	10	and	and	CCONJ
ejpam-6341	379	11	seunghwan	seunghwan	PROPN
ejpam-6341	379	12	kim	kim	PROPN
ejpam-6341	379	13	.	.	PUNCT
ejpam-6341	380	1	chaotic	chaotic	ADJ
ejpam-6341	380	2	dynamics	dynamic	NOUN
ejpam-6341	380	3	in	in	ADP
ejpam-6341	380	4	systems	system	NOUN
ejpam-6341	380	5	with	with	ADP
ejpam-6341	380	6	square	square	ADJ
ejpam-6341	380	7	symmetry	symmetry	NOUN
ejpam-6341	380	8	.	.	PUNCT
ejpam-6341	381	1	physics	physics	NOUN
ejpam-6341	381	2	letters	letter	NOUN
ejpam-6341	381	3	a	a	PRON
ejpam-6341	381	4	,	,	PUNCT
ejpam-6341	381	5	140(7	140(7	NUM
ejpam-6341	381	6	-	-	SYM
ejpam-6341	381	7	8):416–420	8):416–420	NUM
ejpam-6341	381	8	,	,	PUNCT
ejpam-6341	381	9	1989	1989	NUM
ejpam-6341	381	10	.	.	PUNCT
ejpam-6341	382	1	publisher	publisher	NOUN
ejpam-6341	382	2	:	:	PUNCT
ejpam-6341	382	3	elsevier	elsevier	PROPN
ejpam-6341	382	4	bv	bv	PROPN
ejpam-6341	382	5	.	.	PROPN
ejpam-6341	383	1	[	[	X
ejpam-6341	383	2	14	14	NUM
ejpam-6341	383	3	]	]	PUNCT
ejpam-6341	383	4	e	e	X
ejpam-6341	383	5	calzetta	calzetta	NOUN
ejpam-6341	383	6	and	and	CCONJ
ejpam-6341	383	7	c	c	PROPN
ejpam-6341	383	8	el	el	PROPN
ejpam-6341	383	9	hasi	hasi	PROPN
ejpam-6341	383	10	.	.	PUNCT
ejpam-6341	384	1	chaotic	chaotic	ADJ
ejpam-6341	384	2	friedmann	friedmann	ADJ
ejpam-6341	384	3	-	-	PUNCT
ejpam-6341	384	4	robertson	robertson	PROPN
ejpam-6341	384	5	-	-	PUNCT
ejpam-6341	384	6	walker	walker	PROPN
ejpam-6341	384	7	cosmology	cosmology	PROPN
ejpam-6341	384	8	.	.	PUNCT
ejpam-6341	385	1	classical	classical	ADJ
ejpam-6341	385	2	and	and	CCONJ
ejpam-6341	385	3	quantum	quantum	NOUN
ejpam-6341	385	4	gravity	gravity	NOUN
ejpam-6341	385	5	,	,	PUNCT
ejpam-6341	385	6	10(9):1825–1841	10(9):1825–1841	PROPN
ejpam-6341	385	7	,	,	PUNCT
ejpam-6341	385	8	1993	1993	NUM
ejpam-6341	385	9	.	.	PUNCT
ejpam-6341	386	1	publisher	publisher	NOUN
ejpam-6341	386	2	:	:	PUNCT
ejpam-6341	386	3	iop	iop	NOUN
ejpam-6341	386	4	publishing	publishing	NOUN
ejpam-6341	386	5	.	.	PUNCT
ejpam-6341	387	1	[	[	X
ejpam-6341	387	2	15	15	NUM
ejpam-6341	387	3	]	]	X
ejpam-6341	387	4	b.	b.	PROPN
ejpam-6341	387	5	grammaticos	grammaticos	PROPN
ejpam-6341	387	6	,	,	PUNCT
ejpam-6341	387	7	b.	b.	PROPN
ejpam-6341	387	8	dorizzi	dorizzi	PROPN
ejpam-6341	387	9	,	,	PUNCT
ejpam-6341	387	10	and	and	CCONJ
ejpam-6341	387	11	r.	r.	PROPN
ejpam-6341	387	12	padjen	padjen	PROPN
ejpam-6341	387	13	.	.	PUNCT
ejpam-6341	388	1	painleve	painleve	VERB
ejpam-6341	388	2	property	property	NOUN
ejpam-6341	388	3	and	and	CCONJ
ejpam-6341	388	4	integrals	integral	NOUN
ejpam-6341	388	5	of	of	ADP
ejpam-6341	388	6	motion	motion	NOUN
ejpam-6341	388	7	for	for	ADP
ejpam-6341	388	8	the	the	DET
ejpam-6341	388	9	henon	henon	NOUN
ejpam-6341	388	10	-	-	ADJ
ejpam-6341	388	11	heiles	heiles	ADJ
ejpam-6341	388	12	system	system	NOUN
ejpam-6341	388	13	.	.	PUNCT
ejpam-6341	389	1	physics	physics	NOUN
ejpam-6341	389	2	letters	letter	NOUN
ejpam-6341	389	3	a	a	PRON
ejpam-6341	389	4	,	,	PUNCT
ejpam-6341	389	5	89(3):111–113	89(3):111–113	PROPN
ejpam-6341	389	6	,	,	PUNCT
ejpam-6341	389	7	1982	1982	NUM
ejpam-6341	389	8	.	.	PUNCT
ejpam-6341	390	1	publisher	publisher	NOUN
ejpam-6341	390	2	:	:	PUNCT
ejpam-6341	390	3	elsevier	elsevier	PROPN
ejpam-6341	390	4	bv	bv	PROPN
ejpam-6341	390	5	.	.	PROPN
ejpam-6341	391	1	[	[	X
ejpam-6341	391	2	16	16	NUM
ejpam-6341	391	3	]	]	PUNCT
ejpam-6341	391	4	m.	m.	NOUN
ejpam-6341	391	5	lakshmanan	lakshmanan	PROPN
ejpam-6341	391	6	and	and	CCONJ
ejpam-6341	391	7	r.	r.	PROPN
ejpam-6341	391	8	sahadevan	sahadevan	PROPN
ejpam-6341	391	9	.	.	PUNCT
ejpam-6341	392	1	painlevé	painlevé	VERB
ejpam-6341	392	2	analysis	analysis	NOUN
ejpam-6341	392	3	,	,	PUNCT
ejpam-6341	392	4	lie	lie	NOUN
ejpam-6341	392	5	symmetries	symmetry	NOUN
ejpam-6341	392	6	,	,	PUNCT
ejpam-6341	392	7	and	and	CCONJ
ejpam-6341	392	8	integrability	integrability	NOUN
ejpam-6341	392	9	of	of	ADP
ejpam-6341	392	10	coupled	couple	VERB
ejpam-6341	392	11	nonlinear	nonlinear	ADJ
ejpam-6341	392	12	oscillators	oscillator	NOUN
ejpam-6341	392	13	of	of	ADP
ejpam-6341	392	14	polynomial	polynomial	ADJ
ejpam-6341	392	15	type	type	NOUN
ejpam-6341	392	16	.	.	PUNCT
ejpam-6341	393	1	physics	physics	NOUN
ejpam-6341	393	2	reports	report	NOUN
ejpam-6341	393	3	,	,	PUNCT
ejpam-6341	393	4	224(1	224(1	NUM
ejpam-6341	393	5	-	-	SYM
ejpam-6341	393	6	2):1–93	2):1–93	NUM
ejpam-6341	393	7	,	,	PUNCT
ejpam-6341	393	8	1993	1993	NUM
ejpam-6341	393	9	.	.	PUNCT
ejpam-6341	394	1	publisher	publisher	NOUN
ejpam-6341	394	2	:	:	PUNCT
ejpam-6341	394	3	elsevier	elsevier	PROPN
ejpam-6341	394	4	bv	bv	PROPN
ejpam-6341	394	5	.	.	PROPN
ejpam-6341	395	1	[	[	X
ejpam-6341	395	2	17	17	NUM
ejpam-6341	395	3	]	]	X
ejpam-6341	395	4	tassos	tassos	NOUN
ejpam-6341	395	5	bountis	bountis	PROPN
ejpam-6341	395	6	,	,	PUNCT
ejpam-6341	395	7	harvey	harvey	NOUN
ejpam-6341	395	8	segur	segur	NOUN
ejpam-6341	395	9	,	,	PUNCT
ejpam-6341	395	10	and	and	CCONJ
ejpam-6341	395	11	franco	franco	PROPN
ejpam-6341	395	12	vivaldi	vivaldi	PROPN
ejpam-6341	395	13	.	.	PUNCT
ejpam-6341	395	14	integrable	integrable	ADJ
ejpam-6341	395	15	hamiltonian	hamiltonian	ADJ
ejpam-6341	395	16	systems	system	NOUN
ejpam-6341	395	17	and	and	CCONJ
ejpam-6341	395	18	the	the	DET
ejpam-6341	395	19	painlevé	painlevé	NOUN
ejpam-6341	395	20	property	property	NOUN
ejpam-6341	395	21	.	.	PUNCT
ejpam-6341	396	1	physical	physical	ADJ
ejpam-6341	396	2	review	review	PROPN
ejpam-6341	396	3	a	a	PRON
ejpam-6341	396	4	,	,	PUNCT
ejpam-6341	396	5	25(3):1257–1264	25(3):1257–1264	NUM
ejpam-6341	396	6	,	,	PUNCT
ejpam-6341	396	7	1982	1982	NUM
ejpam-6341	396	8	.	.	PUNCT
ejpam-6341	397	1	publisher	publisher	NOUN
ejpam-6341	397	2	:	:	PUNCT
ejpam-6341	397	3	american	american	PROPN
ejpam-6341	397	4	physical	physical	PROPN
ejpam-6341	397	5	society	society	NOUN
ejpam-6341	397	6	(	(	PUNCT
ejpam-6341	397	7	aps	aps	PROPN
ejpam-6341	397	8	)	)	PUNCT
ejpam-6341	397	9	.	.	PUNCT
ejpam-6341	398	1	[	[	X
ejpam-6341	398	2	18	18	NUM
ejpam-6341	398	3	]	]	X
ejpam-6341	398	4	s.	s.	PROPN
ejpam-6341	398	5	kasperczuk	kasperczuk	PROPN
ejpam-6341	398	6	.	.	PUNCT
ejpam-6341	399	1	integrability	integrability	NOUN
ejpam-6341	399	2	of	of	ADP
ejpam-6341	399	3	the	the	DET
ejpam-6341	399	4	yang	yang	PROPN
ejpam-6341	399	5	-	-	PUNCT
ejpam-6341	399	6	mills	mill	NOUN
ejpam-6341	399	7	hamiltonian	hamiltonian	ADJ
ejpam-6341	399	8	system	system	NOUN
ejpam-6341	399	9	.	.	PUNCT
ejpam-6341	400	1	celestial	celestial	ADJ
ejpam-6341	400	2	mechanics	mechanic	NOUN
ejpam-6341	400	3	&	&	CCONJ
ejpam-6341	400	4	dynamical	dynamical	ADJ
ejpam-6341	400	5	astronomy	astronomy	NOUN
ejpam-6341	400	6	,	,	PUNCT
ejpam-6341	400	7	58(4):387–391	58(4):387–391	NOUN
ejpam-6341	400	8	,	,	PUNCT
ejpam-6341	400	9	1994	1994	NUM
ejpam-6341	400	10	.	.	PUNCT
ejpam-6341	401	1	publisher	publisher	NOUN
ejpam-6341	401	2	:	:	PUNCT
ejpam-6341	401	3	springer	springer	NOUN
ejpam-6341	401	4	science	science	NOUN
ejpam-6341	401	5	and	and	CCONJ
ejpam-6341	401	6	business	business	NOUN
ejpam-6341	401	7	media	medium	NOUN
ejpam-6341	401	8	llc	llc	PROPN
ejpam-6341	401	9	.	.	PUNCT
ejpam-6341	402	1	[	[	X
ejpam-6341	402	2	19	19	NUM
ejpam-6341	402	3	]	]	PUNCT
ejpam-6341	402	4	a.	a.	NOUN
ejpam-6341	402	5	ramani	ramani	PROPN
ejpam-6341	402	6	,	,	PUNCT
ejpam-6341	402	7	b.	b.	PROPN
ejpam-6341	402	8	dorizzi	dorizzi	PROPN
ejpam-6341	402	9	,	,	PUNCT
ejpam-6341	402	10	and	and	CCONJ
ejpam-6341	402	11	b.	b.	PROPN
ejpam-6341	402	12	grammaticos	grammaticos	PROPN
ejpam-6341	402	13	.	.	PROPN
ejpam-6341	402	14	painlevé	painlevé	NOUN
ejpam-6341	402	15	conjecture	conjecture	NOUN
ejpam-6341	402	16	revisited	revisit	VERB
ejpam-6341	402	17	.	.	PUNCT
ejpam-6341	403	1	physical	physical	ADJ
ejpam-6341	403	2	review	review	NOUN
ejpam-6341	403	3	letters	letter	NOUN
ejpam-6341	403	4	,	,	PUNCT
ejpam-6341	403	5	49(21):1539–1541	49(21):1539–1541	PROPN
ejpam-6341	403	6	,	,	PUNCT
ejpam-6341	403	7	1982	1982	NUM
ejpam-6341	403	8	.	.	PUNCT
ejpam-6341	404	1	publisher	publisher	NOUN
ejpam-6341	404	2	:	:	PUNCT
ejpam-6341	404	3	american	american	PROPN
ejpam-6341	404	4	physical	physical	PROPN
ejpam-6341	404	5	society	society	NOUN
ejpam-6341	404	6	(	(	PUNCT
ejpam-6341	404	7	aps	aps	PROPN
ejpam-6341	404	8	)	)	PUNCT
ejpam-6341	404	9	.	.	PUNCT
ejpam-6341	405	1	[	[	X
ejpam-6341	405	2	20	20	NUM
ejpam-6341	405	3	]	]	X
ejpam-6341	405	4	stefan	stefan	PROPN
ejpam-6341	405	5	wojciechowski	wojciechowski	PROPN
ejpam-6341	405	6	.	.	PUNCT
ejpam-6341	406	1	separability	separability	NOUN
ejpam-6341	406	2	of	of	ADP
ejpam-6341	406	3	an	an	DET
ejpam-6341	406	4	integrable	integrable	ADJ
ejpam-6341	406	5	case	case	NOUN
ejpam-6341	406	6	of	of	ADP
ejpam-6341	406	7	the	the	DET
ejpam-6341	406	8	henon	henon	NOUN
ejpam-6341	406	9	-	-	ADJ
ejpam-6341	406	10	heiles	heiles	ADJ
ejpam-6341	406	11	system	system	NOUN
ejpam-6341	406	12	.	.	PUNCT
ejpam-6341	407	1	physics	physics	NOUN
ejpam-6341	407	2	letters	letter	NOUN
ejpam-6341	407	3	a	a	PRON
ejpam-6341	407	4	,	,	PUNCT
ejpam-6341	407	5	100(6):277–278	100(6):277–278	NUM
ejpam-6341	407	6	,	,	PUNCT
ejpam-6341	407	7	1984	1984	NUM
ejpam-6341	407	8	.	.	PUNCT
ejpam-6341	408	1	publisher	publisher	NOUN
ejpam-6341	408	2	:	:	PUNCT
ejpam-6341	408	3	elsevier	elsevier	PROPN
ejpam-6341	408	4	bv	bv	PROPN
ejpam-6341	408	5	.	.	PROPN
ejpam-6341	409	1	[	[	X
ejpam-6341	409	2	21	21	NUM
ejpam-6341	409	3	]	]	X
ejpam-6341	409	4	edmund	edmund	PROPN
ejpam-6341	409	5	t.	t.	PROPN
ejpam-6341	409	6	whittaker	whittaker	PROPN
ejpam-6341	409	7	.	.	PUNCT
ejpam-6341	410	1	a	a	DET
ejpam-6341	410	2	treatise	treatise	NOUN
ejpam-6341	410	3	on	on	ADP
ejpam-6341	410	4	the	the	DET
ejpam-6341	410	5	analytical	analytical	ADJ
ejpam-6341	410	6	dynamics	dynamic	NOUN
ejpam-6341	410	7	of	of	ADP
ejpam-6341	410	8	particles	particle	NOUN
ejpam-6341	410	9	and	and	CCONJ
ejpam-6341	410	10	rigid	rigid	ADJ
ejpam-6341	410	11	bodies	body	NOUN
ejpam-6341	410	12	:	:	PUNCT
ejpam-6341	410	13	with	with	ADP
ejpam-6341	410	14	an	an	DET
ejpam-6341	410	15	introduction	introduction	NOUN
ejpam-6341	410	16	to	to	ADP
ejpam-6341	410	17	the	the	DET
ejpam-6341	410	18	problem	problem	NOUN
ejpam-6341	410	19	of	of	ADP
ejpam-6341	410	20	three	three	NUM
ejpam-6341	410	21	bodies	body	NOUN
ejpam-6341	410	22	.	.	PUNCT
ejpam-6341	411	1	cambridge	cambridge	PROPN
ejpam-6341	411	2	mathematical	mathematical	PROPN
ejpam-6341	411	3	library	library	PROPN
ejpam-6341	411	4	.	.	PUNCT
ejpam-6341	412	1	cambridge	cambridge	PROPN
ejpam-6341	412	2	univ	univ	PROPN
ejpam-6341	412	3	.	.	PUNCT
ejpam-6341	413	1	press	press	PROPN
ejpam-6341	413	2	,	,	PUNCT
ejpam-6341	413	3	cambridge	cambridge	PROPN
ejpam-6341	413	4	,	,	PUNCT
ejpam-6341	413	5	4	4	NUM
ejpam-6341	413	6	.	.	PUNCT
ejpam-6341	414	1	ed	ed	NOUN
ejpam-6341	414	2	.	.	PROPN
ejpam-6341	414	3	,	,	PUNCT
ejpam-6341	414	4	transferred	transfer	VERB
ejpam-6341	414	5	to	to	ADP
ejpam-6341	414	6	digital	digital	ADJ
ejpam-6341	414	7	print	print	NOUN
ejpam-6341	414	8	edition	edition	NOUN
ejpam-6341	414	9	,	,	PUNCT
ejpam-6341	414	10	1999	1999	NUM
ejpam-6341	414	11	.	.	PUNCT
ejpam-6341	415	1	[	[	X
ejpam-6341	415	2	22	22	NUM
ejpam-6341	415	3	]	]	PUNCT
ejpam-6341	415	4	b.	b.	PROPN
ejpam-6341	415	5	dorizzi	dorizzi	PROPN
ejpam-6341	415	6	,	,	PUNCT
ejpam-6341	415	7	b.	b.	PROPN
ejpam-6341	415	8	grammaticos	grammaticos	PROPN
ejpam-6341	415	9	,	,	PUNCT
ejpam-6341	415	10	and	and	CCONJ
ejpam-6341	415	11	a.	a.	NOUN
ejpam-6341	415	12	ramani	ramani	PROPN
ejpam-6341	415	13	.	.	PUNCT
ejpam-6341	416	1	a	a	DET
ejpam-6341	416	2	new	new	ADJ
ejpam-6341	416	3	class	class	NOUN
ejpam-6341	416	4	of	of	ADP
ejpam-6341	416	5	integrable	integrable	ADJ
ejpam-6341	416	6	systems	system	NOUN
ejpam-6341	416	7	.	.	PUNCT
ejpam-6341	417	1	journal	journal	PROPN
ejpam-6341	417	2	of	of	ADP
ejpam-6341	417	3	mathematical	mathematical	ADJ
ejpam-6341	417	4	physics	physics	NOUN
ejpam-6341	417	5	,	,	PUNCT
ejpam-6341	417	6	24(9):2282–2288	24(9):2282–2288	NUM
ejpam-6341	417	7	,	,	PUNCT
ejpam-6341	417	8	1983	1983	NUM
ejpam-6341	417	9	.	.	PUNCT
ejpam-6341	418	1	publisher	publisher	NOUN
ejpam-6341	418	2	:	:	PUNCT
ejpam-6341	418	3	aip	aip	PROPN
ejpam-6341	418	4	publishing	publishing	NOUN
ejpam-6341	418	5	.	.	PUNCT
ejpam-6341	419	1	[	[	X
ejpam-6341	419	2	23	23	NUM
ejpam-6341	419	3	]	]	PUNCT
ejpam-6341	419	4	katsuya	katsuya	PROPN
ejpam-6341	419	5	nakagawa	nakagawa	PROPN
ejpam-6341	419	6	and	and	CCONJ
ejpam-6341	419	7	haruo	haruo	PROPN
ejpam-6341	419	8	yoshida	yoshida	PROPN
ejpam-6341	419	9	.	.	PUNCT
ejpam-6341	420	1	a	a	DET
ejpam-6341	420	2	list	list	NOUN
ejpam-6341	420	3	of	of	ADP
ejpam-6341	420	4	all	all	DET
ejpam-6341	420	5	integrable	integrable	ADJ
ejpam-6341	420	6	two	two	NUM
ejpam-6341	420	7	-	-	PUNCT
ejpam-6341	420	8	dimensional	dimensional	ADJ
ejpam-6341	420	9	homogeneous	homogeneous	ADJ
ejpam-6341	420	10	polynomial	polynomial	ADJ
ejpam-6341	420	11	potentials	potential	NOUN
ejpam-6341	420	12	with	with	ADP
ejpam-6341	420	13	a	a	DET
ejpam-6341	420	14	polynomial	polynomial	ADJ
ejpam-6341	420	15	integral	integral	NOUN
ejpam-6341	420	16	of	of	ADP
ejpam-6341	420	17	order	order	NOUN
ejpam-6341	420	18	at	at	ADP
ejpam-6341	420	19	most	most	ADJ
ejpam-6341	420	20	four	four	NUM
ejpam-6341	420	21	in	in	ADP
ejpam-6341	420	22	the	the	DET
ejpam-6341	420	23	momenta	momenta	PROPN
ejpam-6341	420	24	.	.	PUNCT
ejpam-6341	421	1	journal	journal	PROPN
ejpam-6341	421	2	of	of	ADP
ejpam-6341	421	3	physics	physics	PROPN
ejpam-6341	421	4	a	a	PRON
ejpam-6341	421	5	:	:	PUNCT
ejpam-6341	421	6	mathematical	mathematical	ADJ
ejpam-6341	421	7	and	and	CCONJ
ejpam-6341	421	8	general	general	ADJ
ejpam-6341	421	9	,	,	PUNCT
ejpam-6341	421	10	34(41):8611–8630	34(41):8611–8630	NUM
ejpam-6341	421	11	,	,	PUNCT
ejpam-6341	421	12	2001	2001	NUM
ejpam-6341	421	13	.	.	PUNCT
ejpam-6341	422	1	publisher	publisher	NOUN
ejpam-6341	422	2	:	:	PUNCT
ejpam-6341	422	3	iop	iop	NOUN
ejpam-6341	422	4	publishing	publishing	NOUN
ejpam-6341	422	5	.	.	PUNCT
ejpam-6341	423	1	[	[	X
ejpam-6341	423	2	24	24	NUM
ejpam-6341	423	3	]	]	PUNCT
ejpam-6341	423	4	c.	c.	PROPN
ejpam-6341	423	5	verhoeven	verhoeven	PROPN
ejpam-6341	423	6	,	,	PUNCT
ejpam-6341	423	7	m.	m.	NOUN
ejpam-6341	423	8	musette	musette	PROPN
ejpam-6341	423	9	,	,	PUNCT
ejpam-6341	423	10	and	and	CCONJ
ejpam-6341	423	11	r.	r.	PROPN
ejpam-6341	423	12	conte	conte	PROPN
ejpam-6341	423	13	.	.	PUNCT
ejpam-6341	424	1	integration	integration	NOUN
ejpam-6341	424	2	of	of	ADP
ejpam-6341	424	3	a	a	DET
ejpam-6341	424	4	generalized	generalized	ADJ
ejpam-6341	424	5	hénon	hénon	NOUN
ejpam-6341	424	6	–	–	PUNCT
ejpam-6341	424	7	heiles	heile	NOUN
ejpam-6341	424	8	hamiltonian	hamiltonian	ADJ
ejpam-6341	424	9	.	.	PUNCT
ejpam-6341	425	1	journal	journal	PROPN
ejpam-6341	425	2	of	of	ADP
ejpam-6341	425	3	mathematical	mathematical	ADJ
ejpam-6341	425	4	physics	physics	NOUN
ejpam-6341	425	5	,	,	PUNCT
ejpam-6341	425	6	43(4):1906–1915	43(4):1906–1915	NUM
ejpam-6341	425	7	,	,	PUNCT
ejpam-6341	425	8	2002	2002	NUM
ejpam-6341	425	9	.	.	PUNCT
ejpam-6341	426	1	publisher	publisher	NOUN
ejpam-6341	426	2	:	:	PUNCT
ejpam-6341	426	3	aip	aip	PROPN
ejpam-6341	426	4	publishing	publishing	NOUN
ejpam-6341	426	5	.	.	PUNCT
ejpam-6341	427	1	[	[	X
ejpam-6341	427	2	25	25	NUM
ejpam-6341	427	3	]	]	X
ejpam-6341	427	4	v.	v.	CCONJ
ejpam-6341	427	5	ravoson	ravoson	PROPN
ejpam-6341	427	6	,	,	PUNCT
ejpam-6341	427	7	a.	a.	NOUN
ejpam-6341	427	8	ramani	ramani	PROPN
ejpam-6341	427	9	,	,	PUNCT
ejpam-6341	427	10	and	and	CCONJ
ejpam-6341	427	11	b.	b.	PROPN
ejpam-6341	427	12	grammaticos	grammaticos	PROPN
ejpam-6341	427	13	.	.	PROPN
ejpam-6341	427	14	generalized	generalize	VERB
ejpam-6341	427	15	separability	separability	NOUN
ejpam-6341	427	16	for	for	ADP
ejpam-6341	427	17	a	a	DET
ejpam-6341	427	18	hamiltonian	hamiltonian	NOUN
ejpam-6341	427	19	with	with	ADP
ejpam-6341	427	20	nonseparable	nonseparable	ADJ
ejpam-6341	427	21	quartic	quartic	ADJ
ejpam-6341	427	22	potential	potential	NOUN
ejpam-6341	427	23	.	.	PUNCT
ejpam-6341	428	1	physics	physics	NOUN
ejpam-6341	428	2	letters	letter	NOUN
ejpam-6341	428	3	a	a	PRON
ejpam-6341	428	4	,	,	PUNCT
ejpam-6341	428	5	191(1	191(1	NUM
ejpam-6341	428	6	-	-	SYM
ejpam-6341	428	7	2):91–95	2):91–95	NUM
ejpam-6341	428	8	,	,	PUNCT
ejpam-6341	428	9	1994	1994	NUM
ejpam-6341	428	10	.	.	PUNCT
ejpam-6341	429	1	publisher	publisher	NOUN
ejpam-6341	429	2	:	:	PUNCT
ejpam-6341	429	3	elsevier	elsevier	PROPN
ejpam-6341	429	4	bv	bv	PROPN
ejpam-6341	429	5	.	.	PROPN
ejpam-6341	430	1	[	[	X
ejpam-6341	430	2	26	26	NUM
ejpam-6341	430	3	]	]	PUNCT
ejpam-6341	430	4	pol	pol	NOUN
ejpam-6341	430	5	vanhaecke	vanhaecke	NOUN
ejpam-6341	430	6	.	.	PUNCT
ejpam-6341	431	1	explicit	explicit	ADJ
ejpam-6341	431	2	techniques	technique	NOUN
ejpam-6341	431	3	for	for	ADP
ejpam-6341	431	4	studying	study	VERB
ejpam-6341	431	5	two	two	NUM
ejpam-6341	431	6	-	-	PUNCT
ejpam-6341	431	7	dimensional	dimensional	ADJ
ejpam-6341	431	8	integrable	integrable	ADJ
ejpam-6341	431	9	systems	system	NOUN
ejpam-6341	431	10	.	.	PUNCT
ejpam-6341	432	1	phd	phd	NOUN
ejpam-6341	432	2	thesis	thesis	NOUN
ejpam-6341	432	3	,	,	PUNCT
ejpam-6341	432	4	1991	1991	NUM
ejpam-6341	432	5	.	.	PUNCT
ejpam-6341	433	1	[	[	X
ejpam-6341	433	2	27	27	NUM
ejpam-6341	433	3	]	]	PUNCT
ejpam-6341	433	4	a.	a.	NOUN
ejpam-6341	433	5	t.	t.	PROPN
ejpam-6341	433	6	fomenko	fomenko	PROPN
ejpam-6341	433	7	.	.	PUNCT
ejpam-6341	434	1	integrability	integrability	NOUN
ejpam-6341	434	2	and	and	CCONJ
ejpam-6341	434	3	nonintegrability	nonintegrability	NOUN
ejpam-6341	434	4	in	in	ADP
ejpam-6341	434	5	geometry	geometry	NOUN
ejpam-6341	434	6	and	and	CCONJ
ejpam-6341	434	7	mechanics	mechanic	NOUN
ejpam-6341	434	8	.	.	PUNCT
ejpam-6341	435	1	t.	t.	PROPN
ejpam-6341	435	2	s.	s.	PROPN
ejpam-6341	435	3	amer	amer	PROPN
ejpam-6341	435	4	et	et	PROPN
ejpam-6341	435	5	al	al	PROPN
ejpam-6341	435	6	.	.	PUNCT
ejpam-6341	435	7	/	/	SYM
ejpam-6341	435	8	eur	eur	PROPN
ejpam-6341	435	9	.	.	PUNCT
ejpam-6341	436	1	j.	j.	PROPN
ejpam-6341	436	2	pure	pure	PROPN
ejpam-6341	436	3	appl	appl	PROPN
ejpam-6341	436	4	.	.	PROPN
ejpam-6341	436	5	math	math	PROPN
ejpam-6341	436	6	,	,	PUNCT
ejpam-6341	436	7	18	18	NUM
ejpam-6341	436	8	(	(	PUNCT
ejpam-6341	436	9	3	3	NUM
ejpam-6341	436	10	)	)	PUNCT
ejpam-6341	436	11	(	(	PUNCT
ejpam-6341	436	12	2025	2025	NUM
ejpam-6341	436	13	)	)	PUNCT
ejpam-6341	436	14	,	,	PUNCT
ejpam-6341	436	15	6341	6341	NUM
ejpam-6341	436	16	21	21	NUM
ejpam-6341	436	17	of	of	ADP
ejpam-6341	436	18	22	22	NUM
ejpam-6341	436	19	springer	springer	NOUN
ejpam-6341	436	20	netherlands	netherlands	PROPN
ejpam-6341	436	21	,	,	PUNCT
ejpam-6341	436	22	dordrecht	dordrecht	PROPN
ejpam-6341	436	23	,	,	PUNCT
ejpam-6341	436	24	1988	1988	NUM
ejpam-6341	436	25	.	.	PUNCT
ejpam-6341	437	1	[	[	X
ejpam-6341	437	2	28	28	NUM
ejpam-6341	437	3	]	]	X
ejpam-6341	437	4	f.	f.	PROPN
ejpam-6341	437	5	m.	m.	PROPN
ejpam-6341	438	1	el	el	PROPN
ejpam-6341	438	2	-	-	PROPN
ejpam-6341	438	3	sabaa	sabaa	NOUN
ejpam-6341	438	4	,	,	PUNCT
ejpam-6341	438	5	m.	m.	NOUN
ejpam-6341	438	6	hosny	hosny	PROPN
ejpam-6341	438	7	,	,	PUNCT
ejpam-6341	438	8	and	and	CCONJ
ejpam-6341	438	9	s.	s.	PROPN
ejpam-6341	438	10	k.	k.	PROPN
ejpam-6341	438	11	zakria	zakria	PROPN
ejpam-6341	438	12	.	.	PUNCT
ejpam-6341	439	1	bifurcations	bifurcation	NOUN
ejpam-6341	439	2	of	of	ADP
ejpam-6341	439	3	liouville	liouville	NOUN
ejpam-6341	439	4	tori	tori	NOUN
ejpam-6341	439	5	of	of	ADP
ejpam-6341	439	6	a	a	DET
ejpam-6341	439	7	two	two	NUM
ejpam-6341	439	8	fixed	fix	VERB
ejpam-6341	439	9	center	center	NOUN
ejpam-6341	439	10	problem	problem	NOUN
ejpam-6341	439	11	.	.	PUNCT
ejpam-6341	440	1	astrophysics	astrophysic	NOUN
ejpam-6341	440	2	and	and	CCONJ
ejpam-6341	440	3	space	space	NOUN
ejpam-6341	440	4	science	science	NOUN
ejpam-6341	440	5	,	,	PUNCT
ejpam-6341	440	6	363(4	363(4	NUM
ejpam-6341	440	7	)	)	PUNCT
ejpam-6341	440	8	,	,	PUNCT
ejpam-6341	440	9	2018	2018	NUM
ejpam-6341	440	10	.	.	PUNCT
ejpam-6341	441	1	publisher	publisher	NOUN
ejpam-6341	441	2	:	:	PUNCT
ejpam-6341	441	3	springer	springer	NOUN
ejpam-6341	441	4	science	science	NOUN
ejpam-6341	441	5	and	and	CCONJ
ejpam-6341	441	6	business	business	NOUN
ejpam-6341	441	7	media	medium	NOUN
ejpam-6341	441	8	llc	llc	PROPN
ejpam-6341	441	9	.	.	PUNCT
ejpam-6341	442	1	[	[	X
ejpam-6341	442	2	29	29	NUM
ejpam-6341	442	3	]	]	X
ejpam-6341	442	4	f.	f.	PROPN
ejpam-6341	442	5	m.	m.	PROPN
ejpam-6341	442	6	el	el	PROPN
ejpam-6341	442	7	-	-	PROPN
ejpam-6341	442	8	sabaa	sabaa	NOUN
ejpam-6341	442	9	,	,	PUNCT
ejpam-6341	442	10	m.	m.	NOUN
ejpam-6341	442	11	hosny	hosny	PROPN
ejpam-6341	442	12	,	,	PUNCT
ejpam-6341	442	13	and	and	CCONJ
ejpam-6341	442	14	s.	s.	PROPN
ejpam-6341	442	15	k.	k.	PROPN
ejpam-6341	442	16	zakria	zakria	PROPN
ejpam-6341	442	17	.	.	PUNCT
ejpam-6341	443	1	bifurcations	bifurcation	NOUN
ejpam-6341	443	2	of	of	ADP
ejpam-6341	443	3	armbruster	armbruster	ADJ
ejpam-6341	443	4	guckenheimer	guckenheimer	PROPN
ejpam-6341	443	5	kim	kim	PROPN
ejpam-6341	443	6	galactic	galactic	ADJ
ejpam-6341	443	7	potential	potential	NOUN
ejpam-6341	443	8	.	.	PUNCT
ejpam-6341	444	1	astrophysics	astrophysic	NOUN
ejpam-6341	444	2	and	and	CCONJ
ejpam-6341	444	3	space	space	NOUN
ejpam-6341	444	4	science	science	NOUN
ejpam-6341	444	5	,	,	PUNCT
ejpam-6341	444	6	364(2):1–9	364(2):1–9	NUM
ejpam-6341	444	7	,	,	PUNCT
ejpam-6341	444	8	2019	2019	NUM
ejpam-6341	444	9	.	.	PUNCT
ejpam-6341	445	1	publisher	publisher	NOUN
ejpam-6341	445	2	:	:	PUNCT
ejpam-6341	445	3	springer	springer	NOUN
ejpam-6341	445	4	science	science	NOUN
ejpam-6341	445	5	and	and	CCONJ
ejpam-6341	445	6	business	business	NOUN
ejpam-6341	445	7	media	medium	NOUN
ejpam-6341	445	8	llc	llc	PROPN
ejpam-6341	445	9	.	.	PUNCT
ejpam-6341	446	1	[	[	X
ejpam-6341	446	2	30	30	NUM
ejpam-6341	446	3	]	]	X
ejpam-6341	446	4	holger	holger	NOUN
ejpam-6341	446	5	waalkens	waalkens	PROPN
ejpam-6341	446	6	,	,	PUNCT
ejpam-6341	446	7	holger	holger	PROPN
ejpam-6341	446	8	r.	r.	PROPN
ejpam-6341	446	9	dullin	dullin	PROPN
ejpam-6341	446	10	,	,	PUNCT
ejpam-6341	446	11	and	and	CCONJ
ejpam-6341	446	12	peter	peter	PROPN
ejpam-6341	446	13	h.	h.	PROPN
ejpam-6341	446	14	richter	richter	PROPN
ejpam-6341	446	15	.	.	PUNCT
ejpam-6341	447	1	the	the	DET
ejpam-6341	447	2	problem	problem	NOUN
ejpam-6341	447	3	of	of	ADP
ejpam-6341	447	4	two	two	NUM
ejpam-6341	447	5	fixed	fix	VERB
ejpam-6341	447	6	centers	center	NOUN
ejpam-6341	447	7	:	:	PUNCT
ejpam-6341	447	8	bifurcations	bifurcation	NOUN
ejpam-6341	447	9	,	,	PUNCT
ejpam-6341	447	10	actions	action	NOUN
ejpam-6341	447	11	,	,	PUNCT
ejpam-6341	447	12	monodromy	monodromy	NOUN
ejpam-6341	447	13	.	.	PUNCT
ejpam-6341	448	1	physica	physica	PROPN
ejpam-6341	448	2	d	d	PROPN
ejpam-6341	448	3	:	:	PUNCT
ejpam-6341	448	4	nonlinear	nonlinear	ADJ
ejpam-6341	448	5	phenomena	phenomenon	NOUN
ejpam-6341	448	6	,	,	PUNCT
ejpam-6341	448	7	196(34):265–310	196(34):265–310	NUM
ejpam-6341	448	8	,	,	PUNCT
ejpam-6341	448	9	2004	2004	NUM
ejpam-6341	448	10	.	.	PUNCT
ejpam-6341	449	1	publisher	publisher	NOUN
ejpam-6341	449	2	:	:	PUNCT
ejpam-6341	449	3	elsevier	elsevier	PROPN
ejpam-6341	449	4	bv	bv	PROPN
ejpam-6341	449	5	.	.	PROPN
ejpam-6341	450	1	[	[	X
ejpam-6341	450	2	31	31	NUM
ejpam-6341	450	3	]	]	X
ejpam-6341	450	4	mikhail	mikhail	NOUN
ejpam-6341	450	5	p	p	NOUN
ejpam-6341	450	6	kharlamov	kharlamov	NOUN
ejpam-6341	450	7	.	.	PUNCT
ejpam-6341	451	1	bifurcation	bifurcation	NOUN
ejpam-6341	451	2	of	of	ADP
ejpam-6341	451	3	common	common	ADJ
ejpam-6341	451	4	levels	level	NOUN
ejpam-6341	451	5	of	of	ADP
ejpam-6341	451	6	first	first	ADJ
ejpam-6341	451	7	integrals	integral	NOUN
ejpam-6341	451	8	of	of	ADP
ejpam-6341	451	9	the	the	DET
ejpam-6341	451	10	kovalevskaya	kovalevskaya	NOUN
ejpam-6341	451	11	problem	problem	NOUN
ejpam-6341	451	12	.	.	PUNCT
ejpam-6341	452	1	journal	journal	NOUN
ejpam-6341	452	2	of	of	ADP
ejpam-6341	452	3	applied	apply	VERB
ejpam-6341	452	4	mathematics	mathematic	NOUN
ejpam-6341	452	5	and	and	CCONJ
ejpam-6341	452	6	mechanics	mechanic	NOUN
ejpam-6341	452	7	,	,	PUNCT
ejpam-6341	452	8	47(6):737–743	47(6):737–743	PROPN
ejpam-6341	452	9	,	,	PUNCT
ejpam-6341	452	10	1983	1983	NUM
ejpam-6341	452	11	.	.	PUNCT
ejpam-6341	453	1	[	[	X
ejpam-6341	453	2	32	32	NUM
ejpam-6341	453	3	]	]	PUNCT
ejpam-6341	453	4	a	a	DET
ejpam-6341	453	5	ouazzani	ouazzani	NOUN
ejpam-6341	453	6	-	-	PUNCT
ejpam-6341	453	7	th	th	PROPN
ejpam-6341	453	8	,	,	PUNCT
ejpam-6341	453	9	j	j	PROPN
ejpam-6341	453	10	kharbach	kharbach	NOUN
ejpam-6341	453	11	,	,	PUNCT
ejpam-6341	453	12	and	and	CCONJ
ejpam-6341	453	13	m	m	PROPN
ejpam-6341	453	14	ouazzani	ouazzani	PROPN
ejpam-6341	453	15	-	-	PUNCT
ejpam-6341	453	16	jamil	jamil	PROPN
ejpam-6341	453	17	.	.	PUNCT
ejpam-6341	454	1	phase	phase	NOUN
ejpam-6341	454	2	space	space	NOUN
ejpam-6341	454	3	topology	topology	NOUN
ejpam-6341	454	4	and	and	CCONJ
ejpam-6341	454	5	bifurcation	bifurcation	NOUN
ejpam-6341	454	6	of	of	ADP
ejpam-6341	454	7	liouville	liouville	NOUN
ejpam-6341	454	8	torii	torii	PROPN
ejpam-6341	454	9	in	in	ADP
ejpam-6341	454	10	the	the	DET
ejpam-6341	454	11	goryatchev	goryatchev	NOUN
ejpam-6341	454	12	-	-	PUNCT
ejpam-6341	454	13	tchaplygin	tchaplygin	NOUN
ejpam-6341	454	14	top	top	NOUN
ejpam-6341	454	15	.	.	PUNCT
ejpam-6341	455	1	moroccan	moroccan	PROPN
ejpam-6341	455	2	journal	journal	PROPN
ejpam-6341	455	3	of	of	ADP
ejpam-6341	455	4	condensed	condense	VERB
ejpam-6341	455	5	matter	matter	NOUN
ejpam-6341	455	6	,	,	PUNCT
ejpam-6341	455	7	2	2	NUM
ejpam-6341	455	8	,	,	PUNCT
ejpam-6341	455	9	1999	1999	NUM
ejpam-6341	455	10	.	.	PUNCT
ejpam-6341	456	1	[	[	X
ejpam-6341	456	2	33	33	NUM
ejpam-6341	456	3	]	]	PUNCT
ejpam-6341	456	4	ts	ts	ADP
ejpam-6341	456	5	amer	amer	PROPN
ejpam-6341	456	6	.	.	PUNCT
ejpam-6341	457	1	on	on	ADP
ejpam-6341	457	2	the	the	DET
ejpam-6341	457	3	rotational	rotational	ADJ
ejpam-6341	457	4	motion	motion	NOUN
ejpam-6341	457	5	of	of	ADP
ejpam-6341	457	6	a	a	DET
ejpam-6341	457	7	gyrostat	gyrostat	NOUN
ejpam-6341	457	8	about	about	ADP
ejpam-6341	457	9	a	a	DET
ejpam-6341	457	10	fixed	fix	VERB
ejpam-6341	457	11	point	point	NOUN
ejpam-6341	457	12	with	with	ADP
ejpam-6341	457	13	mass	mass	ADJ
ejpam-6341	457	14	distribution	distribution	NOUN
ejpam-6341	457	15	.	.	PUNCT
ejpam-6341	458	1	nonlinear	nonlinear	ADJ
ejpam-6341	458	2	dynamics	dynamic	NOUN
ejpam-6341	458	3	,	,	PUNCT
ejpam-6341	458	4	54(3):189–198	54(3):189–198	NOUN
ejpam-6341	458	5	,	,	PUNCT
ejpam-6341	458	6	2008	2008	NUM
ejpam-6341	458	7	.	.	PUNCT
ejpam-6341	459	1	[	[	X
ejpam-6341	459	2	34	34	NUM
ejpam-6341	459	3	]	]	PUNCT
ejpam-6341	459	4	ts	ts	ADP
ejpam-6341	459	5	amer	amer	PROPN
ejpam-6341	459	6	.	.	PUNCT
ejpam-6341	460	1	the	the	DET
ejpam-6341	460	2	rotational	rotational	ADJ
ejpam-6341	460	3	motion	motion	NOUN
ejpam-6341	460	4	of	of	ADP
ejpam-6341	460	5	the	the	DET
ejpam-6341	460	6	electromagnetic	electromagnetic	ADJ
ejpam-6341	460	7	symmetric	symmetric	ADJ
ejpam-6341	460	8	rigid	rigid	ADJ
ejpam-6341	460	9	body	body	NOUN
ejpam-6341	460	10	.	.	PUNCT
ejpam-6341	461	1	appl	appl	PROPN
ejpam-6341	461	2	.	.	PROPN
ejpam-6341	462	1	math	math	PROPN
ejpam-6341	462	2	.	.	PUNCT
ejpam-6341	463	1	inf	inf	PROPN
ejpam-6341	463	2	.	.	PUNCT
ejpam-6341	464	1	sci	sci	PROPN
ejpam-6341	464	2	,	,	PUNCT
ejpam-6341	464	3	10(4):1453–1464	10(4):1453–1464	NUM
ejpam-6341	464	4	,	,	PUNCT
ejpam-6341	464	5	2016	2016	NUM
ejpam-6341	464	6	.	.	PUNCT
ejpam-6341	465	1	[	[	X
ejpam-6341	465	2	35	35	NUM
ejpam-6341	465	3	]	]	X
ejpam-6341	465	4	aa	aa	NOUN
ejpam-6341	465	5	galal	galal	PROPN
ejpam-6341	465	6	,	,	PUNCT
ejpam-6341	465	7	ts	ts	ADP
ejpam-6341	465	8	amer	amer	PROPN
ejpam-6341	465	9	,	,	PUNCT
ejpam-6341	465	10	ah	ah	INTJ
ejpam-6341	465	11	elneklawy	elneklawy	NOUN
ejpam-6341	465	12	,	,	PUNCT
ejpam-6341	465	13	and	and	CCONJ
ejpam-6341	465	14	hf	hf	ADP
ejpam-6341	465	15	el	el	NOUN
ejpam-6341	465	16	-	-	PUNCT
ejpam-6341	465	17	kafly	kafly	NOUN
ejpam-6341	465	18	.	.	PUNCT
ejpam-6341	466	1	studying	study	VERB
ejpam-6341	466	2	the	the	DET
ejpam-6341	466	3	influence	influence	NOUN
ejpam-6341	466	4	of	of	ADP
ejpam-6341	466	5	a	a	DET
ejpam-6341	466	6	gyrostatic	gyrostatic	ADJ
ejpam-6341	466	7	moment	moment	NOUN
ejpam-6341	466	8	on	on	ADP
ejpam-6341	466	9	the	the	DET
ejpam-6341	466	10	motion	motion	NOUN
ejpam-6341	466	11	of	of	ADP
ejpam-6341	466	12	a	a	DET
ejpam-6341	466	13	charged	charge	VERB
ejpam-6341	466	14	rigid	rigid	ADJ
ejpam-6341	466	15	body	body	NOUN
ejpam-6341	466	16	containing	contain	VERB
ejpam-6341	466	17	a	a	DET
ejpam-6341	466	18	viscous	viscous	ADJ
ejpam-6341	466	19	incompressible	incompressible	ADJ
ejpam-6341	466	20	liquid	liquid	NOUN
ejpam-6341	466	21	.	.	PUNCT
ejpam-6341	467	1	the	the	DET
ejpam-6341	467	2	european	european	PROPN
ejpam-6341	467	3	physical	physical	PROPN
ejpam-6341	467	4	journal	journal	PROPN
ejpam-6341	467	5	plus	plus	CCONJ
ejpam-6341	467	6	,	,	PUNCT
ejpam-6341	467	7	138(10):1–13	138(10):1–13	NUM
ejpam-6341	467	8	,	,	PUNCT
ejpam-6341	467	9	2023	2023	NUM
ejpam-6341	467	10	.	.	PUNCT
ejpam-6341	468	1	[	[	X
ejpam-6341	468	2	36	36	NUM
ejpam-6341	468	3	]	]	X
ejpam-6341	468	4	allan	allan	PROPN
ejpam-6341	468	5	p	p	PROPN
ejpam-6341	468	6	fordy	fordy	PROPN
ejpam-6341	468	7	.	.	PUNCT
ejpam-6341	469	1	the	the	DET
ejpam-6341	469	2	hénon	hénon	NOUN
ejpam-6341	469	3	-	-	PUNCT
ejpam-6341	469	4	heiles	heile	NOUN
ejpam-6341	469	5	system	system	NOUN
ejpam-6341	469	6	revisited	revisit	VERB
ejpam-6341	469	7	.	.	PUNCT
ejpam-6341	470	1	physica	physica	NOUN
ejpam-6341	470	2	d	d	NOUN
ejpam-6341	470	3	:	:	PUNCT
ejpam-6341	470	4	nonlinear	nonlinear	ADJ
ejpam-6341	470	5	phenomena	phenomenon	NOUN
ejpam-6341	470	6	,	,	PUNCT
ejpam-6341	470	7	52(2	52(2	NUM
ejpam-6341	470	8	-	-	SYM
ejpam-6341	470	9	3):204–210	3):204–210	NUM
ejpam-6341	470	10	,	,	PUNCT
ejpam-6341	470	11	1991	1991	NUM
ejpam-6341	470	12	.	.	PUNCT
ejpam-6341	471	1	[	[	X
ejpam-6341	471	2	37	37	NUM
ejpam-6341	471	3	]	]	PUNCT
ejpam-6341	471	4	boris	boris	PROPN
ejpam-6341	471	5	a.	a.	PROPN
ejpam-6341	471	6	dubrovin	dubrovin	PROPN
ejpam-6341	471	7	,	,	PUNCT
ejpam-6341	471	8	anatolij	anatolij	PROPN
ejpam-6341	471	9	timofeevič	timofeevič	ADP
ejpam-6341	471	10	fomenko	fomenko	PROPN
ejpam-6341	471	11	,	,	PUNCT
ejpam-6341	471	12	and	and	CCONJ
ejpam-6341	471	13	sergĕı	sergĕı	DET
ejpam-6341	471	14	petrovich	petrovich	NOUN
ejpam-6341	471	15	novikov	novikov	NOUN
ejpam-6341	471	16	.	.	PUNCT
ejpam-6341	472	1	modern	modern	ADJ
ejpam-6341	472	2	geometry	geometry	NOUN
ejpam-6341	472	3	—	—	PUNCT
ejpam-6341	472	4	methods	method	NOUN
ejpam-6341	472	5	and	and	CCONJ
ejpam-6341	472	6	applications	application	NOUN
ejpam-6341	472	7	:	:	PUNCT
ejpam-6341	472	8	part	part	PROPN
ejpam-6341	472	9	ii	ii	PROPN
ejpam-6341	472	10	:	:	PUNCT
ejpam-6341	472	11	the	the	DET
ejpam-6341	472	12	geometry	geometry	NOUN
ejpam-6341	472	13	and	and	CCONJ
ejpam-6341	472	14	topology	topology	NOUN
ejpam-6341	472	15	of	of	ADP
ejpam-6341	472	16	manifolds	manifolds	PROPN
ejpam-6341	472	17	.	.	PUNCT
ejpam-6341	473	1	springer	springer	NOUN
ejpam-6341	473	2	science	science	PROPN
ejpam-6341	473	3	&	&	CCONJ
ejpam-6341	473	4	business	business	NOUN
ejpam-6341	473	5	media	medium	NOUN
ejpam-6341	473	6	,	,	PUNCT
ejpam-6341	473	7	1985	1985	NUM
ejpam-6341	473	8	.	.	PUNCT
ejpam-6341	474	1	[	[	X
ejpam-6341	474	2	38	38	NUM
ejpam-6341	474	3	]	]	PUNCT
ejpam-6341	474	4	vladimir	vladimir	PROPN
ejpam-6341	474	5	igorevich	igorevich	PROPN
ejpam-6341	474	6	arnol’d	arnol’d	PROPN
ejpam-6341	474	7	.	.	PUNCT
ejpam-6341	475	1	mathematical	mathematical	ADJ
ejpam-6341	475	2	methods	method	NOUN
ejpam-6341	475	3	of	of	ADP
ejpam-6341	475	4	classical	classical	ADJ
ejpam-6341	475	5	mechanics	mechanic	NOUN
ejpam-6341	475	6	,	,	PUNCT
ejpam-6341	475	7	volume	volume	NOUN
ejpam-6341	475	8	60	60	NUM
ejpam-6341	475	9	.	.	PUNCT
ejpam-6341	476	1	springer	springer	NOUN
ejpam-6341	476	2	science	science	PROPN
ejpam-6341	476	3	&	&	CCONJ
ejpam-6341	476	4	business	business	NOUN
ejpam-6341	476	5	media	medium	NOUN
ejpam-6341	476	6	,	,	PUNCT
ejpam-6341	476	7	2013	2013	NUM
ejpam-6341	476	8	.	.	PUNCT
ejpam-6341	477	1	[	[	X
ejpam-6341	477	2	39	39	NUM
ejpam-6341	477	3	]	]	PUNCT
ejpam-6341	477	4	anatolij	anatolij	PROPN
ejpam-6341	477	5	t	t	PROPN
ejpam-6341	477	6	fomenko	fomenko	PROPN
ejpam-6341	477	7	.	.	PUNCT
ejpam-6341	478	1	visual	visual	ADJ
ejpam-6341	478	2	geometry	geometry	NOUN
ejpam-6341	478	3	and	and	CCONJ
ejpam-6341	478	4	topology	topology	NOUN
ejpam-6341	478	5	.	.	PUNCT
ejpam-6341	479	1	springer	springer	PROPN
ejpam-6341	479	2	science	science	PROPN
ejpam-6341	479	3	&	&	CCONJ
ejpam-6341	479	4	business	business	NOUN
ejpam-6341	479	5	media	medium	NOUN
ejpam-6341	479	6	,	,	PUNCT
ejpam-6341	479	7	2012	2012	NUM
ejpam-6341	479	8	.	.	PUNCT
ejpam-6341	480	1	[	[	X
ejpam-6341	480	2	40	40	NUM
ejpam-6341	480	3	]	]	PUNCT
ejpam-6341	480	4	fm	fm	PROPN
ejpam-6341	480	5	el	el	PROPN
ejpam-6341	480	6	-	-	PROPN
ejpam-6341	480	7	sabaa	sabaa	NOUN
ejpam-6341	480	8	.	.	PUNCT
ejpam-6341	480	9	bifurcation	bifurcation	NOUN
ejpam-6341	480	10	of	of	ADP
ejpam-6341	480	11	kovalevskaya	kovalevskaya	PROPN
ejpam-6341	480	12	polynomial	polynomial	ADJ
ejpam-6341	480	13	.	.	PUNCT
ejpam-6341	481	1	international	international	ADJ
ejpam-6341	481	2	journal	journal	PROPN
ejpam-6341	481	3	of	of	ADP
ejpam-6341	481	4	theoretical	theoretical	ADJ
ejpam-6341	481	5	physics	physics	NOUN
ejpam-6341	481	6	,	,	PUNCT
ejpam-6341	481	7	34(10	34(10	NUM
ejpam-6341	481	8	)	)	PUNCT
ejpam-6341	481	9	,	,	PUNCT
ejpam-6341	481	10	1995	1995	NUM
ejpam-6341	481	11	.	.	PUNCT
ejpam-6341	482	1	[	[	X
ejpam-6341	482	2	41	41	NUM
ejpam-6341	482	3	]	]	X
ejpam-6341	482	4	fm	fm	PROPN
ejpam-6341	482	5	el	el	PROPN
ejpam-6341	482	6	-	-	PROPN
ejpam-6341	482	7	sabaa	sabaa	PROPN
ejpam-6341	482	8	,	,	PUNCT
ejpam-6341	482	9	m	m	PROPN
ejpam-6341	482	10	hosny	hosny	PROPN
ejpam-6341	482	11	,	,	PUNCT
ejpam-6341	482	12	and	and	CCONJ
ejpam-6341	482	13	sk	sk	ADP
ejpam-6341	482	14	zakria	zakria	PROPN
ejpam-6341	482	15	.	.	PUNCT
ejpam-6341	483	1	bifurcations	bifurcation	NOUN
ejpam-6341	483	2	of	of	ADP
ejpam-6341	483	3	liouville	liouville	NOUN
ejpam-6341	483	4	tori	tori	NOUN
ejpam-6341	483	5	of	of	ADP
ejpam-6341	483	6	generalized	generalize	VERB
ejpam-6341	483	7	two	two	NUM
ejpam-6341	483	8	-	-	PUNCT
ejpam-6341	483	9	fixed	fix	VERB
ejpam-6341	483	10	center	center	NOUN
ejpam-6341	483	11	problem	problem	NOUN
ejpam-6341	483	12	.	.	PUNCT
ejpam-6341	484	1	italian	italian	ADJ
ejpam-6341	484	2	journal	journal	NOUN
ejpam-6341	484	3	of	of	ADP
ejpam-6341	484	4	pure	pure	ADJ
ejpam-6341	484	5	and	and	CCONJ
ejpam-6341	484	6	applied	applied	ADJ
ejpam-6341	484	7	mathematics	mathematic	NOUN
ejpam-6341	484	8	,	,	PUNCT
ejpam-6341	484	9	43:331	43:331	NUM
ejpam-6341	484	10	–	–	PUNCT
ejpam-6341	484	11	352	352	NUM
ejpam-6341	484	12	,	,	PUNCT
ejpam-6341	484	13	2020	2020	NUM
ejpam-6341	484	14	.	.	PUNCT
ejpam-6341	485	1	[	[	X
ejpam-6341	485	2	42	42	NUM
ejpam-6341	485	3	]	]	PUNCT
ejpam-6341	485	4	aleksandr	aleksandr	PROPN
ejpam-6341	485	5	mikhailovich	mikhailovich	X
ejpam-6341	485	6	lyapunov	lyapunov	PROPN
ejpam-6341	485	7	.	.	PUNCT
ejpam-6341	486	1	the	the	DET
ejpam-6341	486	2	general	general	ADJ
ejpam-6341	486	3	problem	problem	NOUN
ejpam-6341	486	4	of	of	ADP
ejpam-6341	486	5	the	the	DET
ejpam-6341	486	6	stability	stability	NOUN
ejpam-6341	486	7	of	of	ADP
ejpam-6341	486	8	motion	motion	NOUN
ejpam-6341	486	9	.	.	PUNCT
ejpam-6341	487	1	international	international	ADJ
ejpam-6341	487	2	journal	journal	PROPN
ejpam-6341	487	3	of	of	ADP
ejpam-6341	487	4	control	control	NOUN
ejpam-6341	487	5	,	,	PUNCT
ejpam-6341	487	6	55(3):531–534	55(3):531–534	NUM
ejpam-6341	487	7	,	,	PUNCT
ejpam-6341	487	8	1992	1992	NUM
ejpam-6341	487	9	.	.	PUNCT
ejpam-6341	488	1	[	[	X
ejpam-6341	488	2	43	43	NUM
ejpam-6341	488	3	]	]	PUNCT
ejpam-6341	488	4	ts	ts	ADP
ejpam-6341	488	5	amer	amer	PROPN
ejpam-6341	488	6	,	,	PUNCT
ejpam-6341	488	7	hf	hf	PROPN
ejpam-6341	488	8	el	el	NOUN
ejpam-6341	488	9	-	-	PUNCT
ejpam-6341	488	10	kafly	kafly	NOUN
ejpam-6341	488	11	,	,	PUNCT
ejpam-6341	488	12	ah	ah	INTJ
ejpam-6341	488	13	elneklawy	elneklawy	NOUN
ejpam-6341	488	14	,	,	PUNCT
ejpam-6341	488	15	and	and	CCONJ
ejpam-6341	488	16	aa	aa	PROPN
ejpam-6341	488	17	galal	galal	PROPN
ejpam-6341	488	18	.	.	PUNCT
ejpam-6341	489	1	analyzing	analyze	VERB
ejpam-6341	489	2	the	the	DET
ejpam-6341	489	3	dynamics	dynamic	NOUN
ejpam-6341	489	4	of	of	ADP
ejpam-6341	489	5	a	a	DET
ejpam-6341	489	6	charged	charge	VERB
ejpam-6341	489	7	rotating	rotate	VERB
ejpam-6341	489	8	rigid	rigid	ADJ
ejpam-6341	489	9	body	body	NOUN
ejpam-6341	489	10	under	under	ADP
ejpam-6341	489	11	constant	constant	ADJ
ejpam-6341	489	12	torques	torque	NOUN
ejpam-6341	489	13	.	.	PUNCT
ejpam-6341	490	1	scientific	scientific	ADJ
ejpam-6341	490	2	reports	report	NOUN
ejpam-6341	490	3	,	,	PUNCT
ejpam-6341	490	4	14(1):9839	14(1):9839	NUM
ejpam-6341	490	5	,	,	PUNCT
ejpam-6341	490	6	2024	2024	NUM
ejpam-6341	490	7	.	.	PUNCT
ejpam-6341	491	1	[	[	X
ejpam-6341	491	2	44	44	NUM
ejpam-6341	491	3	]	]	X
ejpam-6341	491	4	amer	amer	PROPN
ejpam-6341	491	5	ts	ts	PROPN
ejpam-6341	491	6	,	,	PUNCT
ejpam-6341	491	7	elneklawy	elneklawy	PROPN
ejpam-6341	491	8	ah	ah	INTJ
ejpam-6341	491	9	,	,	PUNCT
ejpam-6341	491	10	and	and	CCONJ
ejpam-6341	491	11	el	el	NOUN
ejpam-6341	491	12	-	-	PUNCT
ejpam-6341	491	13	kafly	kafly	NOUN
ejpam-6341	491	14	hf	hf	NOUN
ejpam-6341	491	15	.	.	PUNCT
ejpam-6341	492	1	a	a	DET
ejpam-6341	492	2	novel	novel	ADJ
ejpam-6341	492	3	approach	approach	NOUN
ejpam-6341	492	4	to	to	ADP
ejpam-6341	492	5	solving	solve	VERB
ejpam-6341	492	6	euler	euler	NOUN
ejpam-6341	492	7	’s	’s	PART
ejpam-6341	492	8	t.	t.	PROPN
ejpam-6341	492	9	s.	s.	PROPN
ejpam-6341	492	10	amer	amer	PROPN
ejpam-6341	492	11	et	et	PROPN
ejpam-6341	492	12	al	al	PROPN
ejpam-6341	492	13	.	.	PUNCT
ejpam-6341	492	14	/	/	SYM
ejpam-6341	492	15	eur	eur	PROPN
ejpam-6341	492	16	.	.	PUNCT
ejpam-6341	493	1	j.	j.	PROPN
ejpam-6341	493	2	pure	pure	PROPN
ejpam-6341	493	3	appl	appl	PROPN
ejpam-6341	493	4	.	.	PROPN
ejpam-6341	493	5	math	math	PROPN
ejpam-6341	493	6	,	,	PUNCT
ejpam-6341	493	7	18	18	NUM
ejpam-6341	493	8	(	(	PUNCT
ejpam-6341	493	9	3	3	NUM
ejpam-6341	493	10	)	)	PUNCT
ejpam-6341	493	11	(	(	PUNCT
ejpam-6341	493	12	2025	2025	NUM
ejpam-6341	493	13	)	)	PUNCT
ejpam-6341	493	14	,	,	PUNCT
ejpam-6341	493	15	6341	6341	NUM
ejpam-6341	493	16	22	22	NUM
ejpam-6341	493	17	of	of	ADP
ejpam-6341	493	18	22	22	NUM
ejpam-6341	493	19	nonlinear	nonlinear	ADJ
ejpam-6341	493	20	equations	equation	NOUN
ejpam-6341	493	21	for	for	ADP
ejpam-6341	493	22	a	a	DET
ejpam-6341	493	23	3dof	3dof	NUM
ejpam-6341	493	24	dynamical	dynamical	ADJ
ejpam-6341	493	25	motion	motion	NOUN
ejpam-6341	493	26	of	of	ADP
ejpam-6341	493	27	a	a	DET
ejpam-6341	493	28	rigid	rigid	ADJ
ejpam-6341	493	29	body	body	NOUN
ejpam-6341	493	30	under	under	ADP
ejpam-6341	493	31	gyrostatic	gyrostatic	ADJ
ejpam-6341	493	32	and	and	CCONJ
ejpam-6341	493	33	constant	constant	ADJ
ejpam-6341	493	34	torques	torque	NOUN
ejpam-6341	493	35	.	.	PUNCT
ejpam-6341	494	1	journal	journal	PROPN
ejpam-6341	494	2	of	of	ADP
ejpam-6341	494	3	low	low	ADJ
ejpam-6341	494	4	frequency	frequency	NOUN
ejpam-6341	494	5	noise	noise	NOUN
ejpam-6341	494	6	,	,	PUNCT
ejpam-6341	494	7	vibration	vibration	NOUN
ejpam-6341	494	8	and	and	CCONJ
ejpam-6341	494	9	active	active	ADJ
ejpam-6341	494	10	control	control	NOUN
ejpam-6341	494	11	,	,	PUNCT
ejpam-6341	494	12	44(1):111–129	44(1):111–129	PROPN
ejpam-6341	494	13	,	,	PUNCT
ejpam-6341	494	14	2025	2025	NUM
ejpam-6341	494	15	.	.	PUNCT
ejpam-6341	495	1	[	[	X
ejpam-6341	495	2	45	45	NUM
ejpam-6341	495	3	]	]	PUNCT
ejpam-6341	495	4	ts	ts	ADP
ejpam-6341	495	5	amer	amer	PROPN
ejpam-6341	495	6	and	and	CCONJ
ejpam-6341	495	7	i	i	PRON
ejpam-6341	495	8	m	m	VERB
ejpam-6341	495	9	abady	abady	ADJ
ejpam-6341	495	10	.	.	PUNCT
ejpam-6341	496	1	solutions	solution	NOUN
ejpam-6341	496	2	of	of	ADP
ejpam-6341	496	3	euler	euler	PROPN
ejpam-6341	496	4	’s	’s	PART
ejpam-6341	496	5	dynamic	dynamic	ADJ
ejpam-6341	496	6	equations	equation	NOUN
ejpam-6341	496	7	for	for	ADP
ejpam-6341	496	8	the	the	DET
ejpam-6341	496	9	motion	motion	NOUN
ejpam-6341	496	10	of	of	ADP
ejpam-6341	496	11	a	a	DET
ejpam-6341	496	12	rigid	rigid	ADJ
ejpam-6341	496	13	body	body	NOUN
ejpam-6341	496	14	.	.	PUNCT
ejpam-6341	497	1	journal	journal	PROPN
ejpam-6341	497	2	of	of	ADP
ejpam-6341	497	3	aerospace	aerospace	PROPN
ejpam-6341	497	4	engineering	engineering	NOUN
ejpam-6341	497	5	,	,	PUNCT
ejpam-6341	497	6	30(4):04017021	30(4):04017021	NUM
ejpam-6341	497	7	,	,	PUNCT
ejpam-6341	497	8	2017	2017	NUM
ejpam-6341	497	9	.	.	PUNCT
ejpam-6341	498	1	[	[	X
ejpam-6341	498	2	46	46	NUM
ejpam-6341	498	3	]	]	PUNCT
ejpam-6341	498	4	ts	ts	ADP
ejpam-6341	498	5	amer	amer	PROPN
ejpam-6341	498	6	,	,	PUNCT
ejpam-6341	498	7	ah	ah	INTJ
ejpam-6341	498	8	elneklawy	elneklawy	NOUN
ejpam-6341	498	9	,	,	PUNCT
ejpam-6341	498	10	and	and	CCONJ
ejpam-6341	498	11	hf	hf	ADP
ejpam-6341	498	12	el	el	NOUN
ejpam-6341	498	13	-	-	PUNCT
ejpam-6341	498	14	kafly	kafly	NOUN
ejpam-6341	498	15	.	.	PUNCT
ejpam-6341	499	1	analysis	analysis	NOUN
ejpam-6341	499	2	of	of	ADP
ejpam-6341	499	3	euler	euler	PROPN
ejpam-6341	499	4	’s	’s	PART
ejpam-6341	499	5	equations	equation	NOUN
ejpam-6341	499	6	for	for	ADP
ejpam-6341	499	7	a	a	DET
ejpam-6341	499	8	symmetric	symmetric	ADJ
ejpam-6341	499	9	rigid	rigid	ADJ
ejpam-6341	499	10	body	body	NOUN
ejpam-6341	499	11	subject	subject	ADJ
ejpam-6341	499	12	to	to	ADP
ejpam-6341	499	13	time	time	NOUN
ejpam-6341	499	14	-	-	PUNCT
ejpam-6341	499	15	dependent	dependent	ADJ
ejpam-6341	499	16	gyrostatic	gyrostatic	ADJ
ejpam-6341	499	17	torque	torque	NOUN
ejpam-6341	499	18	.	.	PUNCT
ejpam-6341	500	1	journal	journal	NOUN
ejpam-6341	500	2	of	of	ADP
ejpam-6341	500	3	low	low	ADJ
ejpam-6341	500	4	frequency	frequency	NOUN
ejpam-6341	500	5	noise	noise	NOUN
ejpam-6341	500	6	,	,	PUNCT
ejpam-6341	500	7	vibration	vibration	NOUN
ejpam-6341	500	8	and	and	CCONJ
ejpam-6341	500	9	active	active	ADJ
ejpam-6341	500	10	control	control	NOUN
ejpam-6341	500	11	,	,	PUNCT
ejpam-6341	500	12	page	page	NOUN
ejpam-6341	500	13	14613484241312465	14613484241312465	NUM
ejpam-6341	500	14	,	,	PUNCT
ejpam-6341	500	15	2025	2025	NUM
ejpam-6341	500	16	.	.	PUNCT
ejpam-6341	501	1	[	[	X
ejpam-6341	501	2	47	47	NUM
ejpam-6341	501	3	]	]	PUNCT
ejpam-6341	501	4	ts	ts	ADP
ejpam-6341	501	5	amer	amer	PROPN
ejpam-6341	501	6	,	,	PUNCT
ejpam-6341	501	7	am	be	AUX
ejpam-6341	501	8	farag	farag	NOUN
ejpam-6341	501	9	,	,	PUNCT
ejpam-6341	501	10	and	and	CCONJ
ejpam-6341	501	11	ws	ws	PROPN
ejpam-6341	501	12	amer	amer	PROPN
ejpam-6341	501	13	.	.	PUNCT
ejpam-6341	502	1	the	the	DET
ejpam-6341	502	2	dynamical	dynamical	ADJ
ejpam-6341	502	3	motion	motion	NOUN
ejpam-6341	502	4	of	of	ADP
ejpam-6341	502	5	a	a	DET
ejpam-6341	502	6	rigid	rigid	ADJ
ejpam-6341	502	7	body	body	NOUN
ejpam-6341	502	8	for	for	ADP
ejpam-6341	502	9	the	the	DET
ejpam-6341	502	10	case	case	NOUN
ejpam-6341	502	11	of	of	ADP
ejpam-6341	502	12	ellipsoid	ellipsoid	NOUN
ejpam-6341	502	13	inertia	inertia	NOUN
ejpam-6341	502	14	close	close	ADJ
ejpam-6341	502	15	to	to	ADP
ejpam-6341	502	16	ellipsoid	ellipsoid	NOUN
ejpam-6341	502	17	of	of	ADP
ejpam-6341	502	18	rotation	rotation	NOUN
ejpam-6341	502	19	.	.	PUNCT
ejpam-6341	503	1	mechanics	mechanic	NOUN
ejpam-6341	503	2	research	research	NOUN
ejpam-6341	503	3	communications	communication	NOUN
ejpam-6341	503	4	,	,	PUNCT
ejpam-6341	503	5	108:103583	108:103583	NUM
ejpam-6341	503	6	,	,	PUNCT
ejpam-6341	503	7	2020	2020	NUM
ejpam-6341	503	8	.	.	PUNCT
ejpam-6341	504	1	[	[	X
ejpam-6341	504	2	48	48	NUM
ejpam-6341	504	3	]	]	PUNCT
ejpam-6341	504	4	ts	ts	ADP
ejpam-6341	504	5	amer	amer	PROPN
ejpam-6341	504	6	,	,	PUNCT
ejpam-6341	504	7	h	h	NOUN
ejpam-6341	504	8	elkafly	elkafly	ADJ
ejpam-6341	504	9	,	,	PUNCT
ejpam-6341	504	10	and	and	CCONJ
ejpam-6341	504	11	aa	aa	PROPN
ejpam-6341	504	12	galal	galal	PROPN
ejpam-6341	504	13	.	.	PUNCT
ejpam-6341	505	1	the	the	DET
ejpam-6341	505	2	3d	3d	PROPN
ejpam-6341	505	3	motion	motion	NOUN
ejpam-6341	505	4	of	of	ADP
ejpam-6341	505	5	a	a	DET
ejpam-6341	505	6	charged	charge	VERB
ejpam-6341	505	7	solid	solid	ADJ
ejpam-6341	505	8	body	body	NOUN
ejpam-6341	505	9	using	use	VERB
ejpam-6341	505	10	the	the	DET
ejpam-6341	505	11	asymptotic	asymptotic	ADJ
ejpam-6341	505	12	technique	technique	NOUN
ejpam-6341	505	13	of	of	ADP
ejpam-6341	505	14	kbm	kbm	PROPN
ejpam-6341	505	15	.	.	PUNCT
ejpam-6341	506	1	alexandria	alexandria	PROPN
ejpam-6341	506	2	engineering	engineering	PROPN
ejpam-6341	506	3	journal	journal	PROPN
ejpam-6341	506	4	,	,	PUNCT
ejpam-6341	506	5	60(6):5655–5673	60(6):5655–5673	PROPN
ejpam-6341	506	6	,	,	PUNCT
ejpam-6341	506	7	2021	2021	NUM
ejpam-6341	506	8	.	.	PUNCT
ejpam-6341	507	1	[	[	X
ejpam-6341	507	2	49	49	NUM
ejpam-6341	507	3	]	]	PUNCT
ejpam-6341	507	4	ts	ts	ADP
ejpam-6341	507	5	amer	amer	PROPN
ejpam-6341	507	6	,	,	PUNCT
ejpam-6341	507	7	hf	hf	PROPN
ejpam-6341	507	8	el	el	NOUN
ejpam-6341	507	9	-	-	PUNCT
ejpam-6341	507	10	kafly	kafly	NOUN
ejpam-6341	507	11	,	,	PUNCT
ejpam-6341	507	12	ah	ah	INTJ
ejpam-6341	507	13	elneklawy	elneklawy	NOUN
ejpam-6341	507	14	,	,	PUNCT
ejpam-6341	507	15	and	and	CCONJ
ejpam-6341	507	16	ws	ws	PROPN
ejpam-6341	507	17	amer	amer	PROPN
ejpam-6341	507	18	.	.	PUNCT
ejpam-6341	508	1	modeling	model	VERB
ejpam-6341	508	2	analysis	analysis	NOUN
ejpam-6341	508	3	on	on	ADP
ejpam-6341	508	4	the	the	DET
ejpam-6341	508	5	influence	influence	NOUN
ejpam-6341	508	6	of	of	ADP
ejpam-6341	508	7	the	the	DET
ejpam-6341	508	8	gyrostatic	gyrostatic	ADJ
ejpam-6341	508	9	moment	moment	NOUN
ejpam-6341	508	10	on	on	ADP
ejpam-6341	508	11	the	the	DET
ejpam-6341	508	12	motion	motion	NOUN
ejpam-6341	508	13	of	of	ADP
ejpam-6341	508	14	a	a	DET
ejpam-6341	508	15	charged	charge	VERB
ejpam-6341	508	16	rigid	rigid	ADJ
ejpam-6341	508	17	body	body	NOUN
ejpam-6341	508	18	subjected	subject	VERB
ejpam-6341	508	19	to	to	ADP
ejpam-6341	508	20	constant	constant	ADJ
ejpam-6341	508	21	axial	axial	ADJ
ejpam-6341	508	22	torque	torque	NOUN
ejpam-6341	508	23	.	.	PUNCT
ejpam-6341	509	1	journal	journal	NOUN
ejpam-6341	509	2	of	of	ADP
ejpam-6341	509	3	low	low	ADJ
ejpam-6341	509	4	frequency	frequency	NOUN
ejpam-6341	509	5	noise	noise	NOUN
ejpam-6341	509	6	,	,	PUNCT
ejpam-6341	509	7	vibration	vibration	NOUN
ejpam-6341	509	8	and	and	CCONJ
ejpam-6341	509	9	active	active	ADJ
ejpam-6341	509	10	control	control	NOUN
ejpam-6341	509	11	,	,	PUNCT
ejpam-6341	509	12	43(4):1593–1610	43(4):1593–1610	NUM
ejpam-6341	509	13	,	,	PUNCT
ejpam-6341	509	14	2024	2024	NUM
ejpam-6341	509	15	.	.	PUNCT
ejpam-6341	510	1	[	[	X
ejpam-6341	510	2	50	50	NUM
ejpam-6341	510	3	]	]	PUNCT
ejpam-6341	510	4	asmaa	asmaa	X
ejpam-6341	510	5	amer	amer	PROPN
ejpam-6341	510	6	,	,	PUNCT
ejpam-6341	510	7	ts	ts	ADP
ejpam-6341	510	8	amer	amer	PROPN
ejpam-6341	510	9	,	,	PUNCT
ejpam-6341	510	10	and	and	CCONJ
ejpam-6341	510	11	aa	aa	PROPN
ejpam-6341	510	12	galal	galal	PROPN
ejpam-6341	510	13	.	.	PUNCT
ejpam-6341	511	1	simulation	simulation	NOUN
ejpam-6341	511	2	of	of	ADP
ejpam-6341	511	3	a	a	DET
ejpam-6341	511	4	subjected	subject	VERB
ejpam-6341	511	5	rigid	rigid	ADJ
ejpam-6341	511	6	body	body	NOUN
ejpam-6341	511	7	motion	motion	NOUN
ejpam-6341	511	8	to	to	ADP
ejpam-6341	511	9	an	an	DET
ejpam-6341	511	10	external	external	ADJ
ejpam-6341	511	11	force	force	NOUN
ejpam-6341	511	12	and	and	CCONJ
ejpam-6341	511	13	moment	moment	NOUN
ejpam-6341	511	14	.	.	PUNCT
ejpam-6341	512	1	journal	journal	NOUN
ejpam-6341	512	2	of	of	ADP
ejpam-6341	512	3	vibration	vibration	NOUN
ejpam-6341	512	4	engineering	engineering	NOUN
ejpam-6341	512	5	&	&	CCONJ
ejpam-6341	512	6	technologies	technology	NOUN
ejpam-6341	512	7	,	,	PUNCT
ejpam-6341	512	8	12(3):2775–2790	12(3):2775–2790	NUM
ejpam-6341	512	9	,	,	PUNCT
ejpam-6341	512	10	2024	2024	NUM
ejpam-6341	512	11	.	.	PUNCT
ejpam-6341	513	1	[	[	X
ejpam-6341	513	2	51	51	NUM
ejpam-6341	513	3	]	]	PUNCT
ejpam-6341	513	4	ts	ts	ADP
ejpam-6341	513	5	amer	amer	PROPN
ejpam-6341	513	6	,	,	PUNCT
ejpam-6341	513	7	hf	hf	PROPN
ejpam-6341	513	8	el	el	NOUN
ejpam-6341	513	9	-	-	PUNCT
ejpam-6341	513	10	kafly	kafly	NOUN
ejpam-6341	513	11	,	,	PUNCT
ejpam-6341	513	12	ah	ah	INTJ
ejpam-6341	513	13	elneklawy	elneklawy	NOUN
ejpam-6341	513	14	,	,	PUNCT
ejpam-6341	513	15	and	and	CCONJ
ejpam-6341	513	16	aa	aa	PROPN
ejpam-6341	513	17	galal	galal	PROPN
ejpam-6341	513	18	.	.	PUNCT
ejpam-6341	514	1	stability	stability	NOUN
ejpam-6341	514	2	analysis	analysis	NOUN
ejpam-6341	514	3	of	of	ADP
ejpam-6341	514	4	a	a	DET
ejpam-6341	514	5	rotating	rotate	VERB
ejpam-6341	514	6	rigid	rigid	ADJ
ejpam-6341	514	7	body	body	NOUN
ejpam-6341	514	8	:	:	PUNCT
ejpam-6341	514	9	the	the	DET
ejpam-6341	514	10	role	role	NOUN
ejpam-6341	514	11	of	of	ADP
ejpam-6341	514	12	external	external	ADJ
ejpam-6341	514	13	and	and	CCONJ
ejpam-6341	514	14	gyroscopic	gyroscopic	NOUN
ejpam-6341	514	15	torques	torque	NOUN
ejpam-6341	514	16	with	with	ADP
ejpam-6341	514	17	energy	energy	NOUN
ejpam-6341	514	18	dissipation	dissipation	NOUN
ejpam-6341	514	19	.	.	PUNCT
ejpam-6341	515	1	journal	journal	NOUN
ejpam-6341	515	2	of	of	ADP
ejpam-6341	515	3	low	low	ADJ
ejpam-6341	515	4	frequency	frequency	NOUN
ejpam-6341	515	5	noise	noise	NOUN
ejpam-6341	515	6	,	,	PUNCT
ejpam-6341	515	7	vibration	vibration	NOUN
ejpam-6341	515	8	and	and	CCONJ
ejpam-6341	515	9	active	active	ADJ
ejpam-6341	515	10	control	control	NOUN
ejpam-6341	515	11	,	,	PUNCT
ejpam-6341	515	12	page	page	NOUN
ejpam-6341	515	13	14613484251324586	14613484251324586	NUM
ejpam-6341	515	14	,	,	PUNCT
ejpam-6341	515	15	2025	2025	NUM
ejpam-6341	515	16	.	.	PUNCT
ejpam-6341	516	1	[	[	X
ejpam-6341	516	2	52	52	NUM
ejpam-6341	516	3	]	]	PUNCT
ejpam-6341	516	4	ts	ts	ADP
ejpam-6341	516	5	amer	amer	PROPN
ejpam-6341	516	6	,	,	PUNCT
ejpam-6341	516	7	ah	ah	INTJ
ejpam-6341	516	8	elneklawy	elneklawy	NOUN
ejpam-6341	516	9	,	,	PUNCT
ejpam-6341	516	10	and	and	CCONJ
ejpam-6341	516	11	hf	hf	ADP
ejpam-6341	516	12	el	el	NOUN
ejpam-6341	516	13	-	-	PUNCT
ejpam-6341	516	14	kafly	kafly	NOUN
ejpam-6341	516	15	.	.	PUNCT
ejpam-6341	517	1	dynamical	dynamical	ADJ
ejpam-6341	517	2	motion	motion	NOUN
ejpam-6341	517	3	of	of	ADP
ejpam-6341	517	4	a	a	DET
ejpam-6341	517	5	spacecraft	spacecraft	NOUN
ejpam-6341	517	6	containing	contain	VERB
ejpam-6341	517	7	a	a	DET
ejpam-6341	517	8	slug	slug	NOUN
ejpam-6341	517	9	and	and	CCONJ
ejpam-6341	517	10	influenced	influence	VERB
ejpam-6341	517	11	by	by	ADP
ejpam-6341	517	12	a	a	DET
ejpam-6341	517	13	gyrostatic	gyrostatic	ADJ
ejpam-6341	517	14	moment	moment	NOUN
ejpam-6341	517	15	and	and	CCONJ
ejpam-6341	517	16	constant	constant	ADJ
ejpam-6341	517	17	torques	torque	NOUN
ejpam-6341	517	18	.	.	PUNCT
ejpam-6341	518	1	journal	journal	PROPN
ejpam-6341	518	2	of	of	ADP
ejpam-6341	518	3	low	low	ADJ
ejpam-6341	518	4	frequency	frequency	NOUN
ejpam-6341	518	5	noise	noise	NOUN
ejpam-6341	518	6	,	,	PUNCT
ejpam-6341	518	7	vibration	vibration	NOUN
ejpam-6341	518	8	and	and	CCONJ
ejpam-6341	518	9	active	active	ADJ
ejpam-6341	518	10	control	control	NOUN
ejpam-6341	518	11	,	,	PUNCT
ejpam-6341	518	12	page	page	NOUN
ejpam-6341	518	13	14613484251322235	14613484251322235	NUM
ejpam-6341	518	14	,	,	PUNCT
ejpam-6341	518	15	2025	2025	NUM
ejpam-6341	518	16	.	.	PUNCT
ejpam-6341	519	1	[	[	X
ejpam-6341	519	2	53	53	NUM
ejpam-6341	519	3	]	]	PUNCT
ejpam-6341	519	4	fm	fm	PROPN
ejpam-6341	519	5	el	el	PROPN
ejpam-6341	519	6	-	-	PROPN
ejpam-6341	519	7	sabaa	sabaa	PROPN
ejpam-6341	519	8	,	,	PUNCT
ejpam-6341	519	9	ts	ts	ADP
ejpam-6341	519	10	amer	amer	PROPN
ejpam-6341	519	11	,	,	PUNCT
ejpam-6341	519	12	hm	hm	INTJ
ejpam-6341	519	13	gad	gad	PROPN
ejpam-6341	519	14	,	,	PUNCT
ejpam-6341	519	15	and	and	CCONJ
ejpam-6341	519	16	ma	ma	PROPN
ejpam-6341	519	17	bek	bek	PROPN
ejpam-6341	519	18	.	.	PROPN
ejpam-6341	519	19	existence	existence	NOUN
ejpam-6341	519	20	of	of	ADP
ejpam-6341	519	21	periodic	periodic	ADJ
ejpam-6341	519	22	solutions	solution	NOUN
ejpam-6341	519	23	and	and	CCONJ
ejpam-6341	519	24	their	their	PRON
ejpam-6341	519	25	stability	stability	NOUN
ejpam-6341	519	26	for	for	ADP
ejpam-6341	519	27	a	a	DET
ejpam-6341	519	28	sextic	sextic	ADJ
ejpam-6341	519	29	galactic	galactic	ADJ
ejpam-6341	519	30	potential	potential	ADJ
ejpam-6341	519	31	function	function	NOUN
ejpam-6341	519	32	.	.	PUNCT
ejpam-6341	520	1	astrophysics	astrophysic	NOUN
ejpam-6341	520	2	and	and	CCONJ
ejpam-6341	520	3	space	space	NOUN
ejpam-6341	520	4	science	science	NOUN
ejpam-6341	520	5	,	,	PUNCT
ejpam-6341	520	6	366(8):74	366(8):74	NUM
ejpam-6341	520	7	,	,	PUNCT
ejpam-6341	520	8	2021	2021	NUM
ejpam-6341	520	9	.	.	PUNCT
ejpam-6341	521	1	[	[	X
ejpam-6341	521	2	54	54	NUM
ejpam-6341	521	3	]	]	PUNCT
ejpam-6341	521	4	ts	ts	ADP
ejpam-6341	521	5	amer	amer	PROPN
ejpam-6341	521	6	,	,	PUNCT
ejpam-6341	521	7	asma	asma	PROPN
ejpam-6341	521	8	alanazy	alanazy	PROPN
ejpam-6341	521	9	,	,	PUNCT
ejpam-6341	521	10	ah	ah	INTJ
ejpam-6341	521	11	elneklawy	elneklawy	PROPN
ejpam-6341	521	12	,	,	PUNCT
ejpam-6341	521	13	ws	ws	NOUN
ejpam-6341	521	14	amer	amer	PROPN
ejpam-6341	521	15	,	,	PUNCT
ejpam-6341	521	16	and	and	CCONJ
ejpam-6341	521	17	hf	hf	ADP
ejpam-6341	521	18	el	el	NOUN
ejpam-6341	521	19	-	-	PUNCT
ejpam-6341	521	20	kafly	kafly	NOUN
ejpam-6341	521	21	.	.	PUNCT
ejpam-6341	522	1	a	a	DET
ejpam-6341	522	2	novel	novel	ADJ
ejpam-6341	522	3	study	study	NOUN
ejpam-6341	522	4	on	on	ADP
ejpam-6341	522	5	the	the	DET
ejpam-6341	522	6	fourth	fourth	ADJ
ejpam-6341	522	7	first	first	ADJ
ejpam-6341	522	8	integral	integral	ADJ
ejpam-6341	522	9	for	for	ADP
ejpam-6341	522	10	the	the	DET
ejpam-6341	522	11	rotatory	rotatory	ADJ
ejpam-6341	522	12	motion	motion	NOUN
ejpam-6341	522	13	of	of	ADP
ejpam-6341	522	14	an	an	DET
ejpam-6341	522	15	impacted	impact	VERB
ejpam-6341	522	16	charged	charge	VERB
ejpam-6341	522	17	rigid	rigid	ADJ
ejpam-6341	522	18	body	body	NOUN
ejpam-6341	522	19	by	by	ADP
ejpam-6341	522	20	external	external	ADJ
ejpam-6341	522	21	torques	torque	NOUN
ejpam-6341	522	22	.	.	PUNCT
ejpam-6341	523	1	journal	journal	PROPN
ejpam-6341	523	2	of	of	ADP
ejpam-6341	523	3	low	low	ADJ
ejpam-6341	523	4	frequency	frequency	NOUN
ejpam-6341	523	5	noise	noise	NOUN
ejpam-6341	523	6	,	,	PUNCT
ejpam-6341	523	7	vibration	vibration	NOUN
ejpam-6341	523	8	and	and	CCONJ
ejpam-6341	523	9	active	active	ADJ
ejpam-6341	523	10	control	control	NOUN
ejpam-6341	523	11	,	,	PUNCT
ejpam-6341	523	12	page	page	NOUN
ejpam-6341	523	13	14613484251347080	14613484251347080	NUM
ejpam-6341	523	14	,	,	PUNCT
ejpam-6341	523	15	2025	2025	NUM
ejpam-6341	523	16	.	.	PUNCT
ejpam-6341	524	1	[	[	X
ejpam-6341	524	2	55	55	NUM
ejpam-6341	524	3	]	]	PUNCT
ejpam-6341	524	4	ts	ts	ADP
ejpam-6341	524	5	amer	amer	PROPN
ejpam-6341	524	6	,	,	PUNCT
ejpam-6341	524	7	hf	hf	PROPN
ejpam-6341	524	8	el	el	NOUN
ejpam-6341	524	9	-	-	PUNCT
ejpam-6341	524	10	kafly	kafly	NOUN
ejpam-6341	524	11	,	,	PUNCT
ejpam-6341	524	12	ah	ah	INTJ
ejpam-6341	524	13	elneklawy	elneklawy	NOUN
ejpam-6341	524	14	,	,	PUNCT
ejpam-6341	524	15	and	and	CCONJ
ejpam-6341	524	16	aa	aa	PROPN
ejpam-6341	524	17	galal	galal	PROPN
ejpam-6341	524	18	.	.	PUNCT
ejpam-6341	525	1	analyzing	analyze	VERB
ejpam-6341	525	2	the	the	DET
ejpam-6341	525	3	spatial	spatial	ADJ
ejpam-6341	525	4	motion	motion	NOUN
ejpam-6341	525	5	of	of	ADP
ejpam-6341	525	6	a	a	DET
ejpam-6341	525	7	rigid	rigid	ADJ
ejpam-6341	525	8	body	body	NOUN
ejpam-6341	525	9	subjected	subject	VERB
ejpam-6341	525	10	to	to	ADP
ejpam-6341	525	11	constant	constant	ADJ
ejpam-6341	525	12	body	body	NOUN
ejpam-6341	525	13	-	-	PUNCT
ejpam-6341	525	14	fixed	fix	VERB
ejpam-6341	525	15	torques	torque	NOUN
ejpam-6341	525	16	and	and	CCONJ
ejpam-6341	525	17	gyrostatic	gyrostatic	ADJ
ejpam-6341	525	18	moment	moment	NOUN
ejpam-6341	525	19	.	.	PUNCT
ejpam-6341	526	1	scientific	scientific	ADJ
ejpam-6341	526	2	reports	report	NOUN
ejpam-6341	526	3	,	,	PUNCT
ejpam-6341	526	4	14(1):5390	14(1):5390	NUM
ejpam-6341	526	5	,	,	PUNCT
ejpam-6341	526	6	2024	2024	NUM
ejpam-6341	526	7	.	.	PUNCT
ejpam-6341	527	1	[	[	X
ejpam-6341	527	2	56	56	NUM
ejpam-6341	527	3	]	]	PUNCT
ejpam-6341	527	4	ts	ts	ADP
ejpam-6341	527	5	amer	amer	PROPN
ejpam-6341	527	6	,	,	PUNCT
ejpam-6341	527	7	ws	ws	PROPN
ejpam-6341	527	8	amer	amer	PROPN
ejpam-6341	527	9	,	,	PUNCT
ejpam-6341	527	10	m	m	VERB
ejpam-6341	527	11	fakharany	fakharany	ADJ
ejpam-6341	527	12	,	,	PUNCT
ejpam-6341	527	13	ah	ah	INTJ
ejpam-6341	527	14	elneklawy	elneklawy	NOUN
ejpam-6341	527	15	,	,	PUNCT
ejpam-6341	527	16	and	and	CCONJ
ejpam-6341	527	17	hf	hf	ADP
ejpam-6341	527	18	el	el	NOUN
ejpam-6341	527	19	-	-	PUNCT
ejpam-6341	527	20	kafly	kafly	NOUN
ejpam-6341	527	21	.	.	PUNCT
ejpam-6341	528	1	modeling	modeling	NOUN
ejpam-6341	528	2	of	of	ADP
ejpam-6341	528	3	the	the	DET
ejpam-6341	528	4	euler	euler	NOUN
ejpam-6341	528	5	-	-	PUNCT
ejpam-6341	528	6	poisson	poisson	NOUN
ejpam-6341	528	7	equations	equation	NOUN
ejpam-6341	528	8	for	for	ADP
ejpam-6341	528	9	rigid	rigid	ADJ
ejpam-6341	528	10	bodies	body	NOUN
ejpam-6341	528	11	in	in	ADP
ejpam-6341	528	12	the	the	DET
ejpam-6341	528	13	context	context	NOUN
ejpam-6341	528	14	of	of	ADP
ejpam-6341	528	15	the	the	DET
ejpam-6341	528	16	gyrostatic	gyrostatic	ADJ
ejpam-6341	528	17	influences	influence	NOUN
ejpam-6341	528	18	:	:	PUNCT
ejpam-6341	528	19	an	an	DET
ejpam-6341	528	20	innovative	innovative	ADJ
ejpam-6341	528	21	methodology	methodology	NOUN
ejpam-6341	528	22	.	.	PUNCT
ejpam-6341	529	1	european	european	PROPN
ejpam-6341	529	2	journal	journal	PROPN
ejpam-6341	529	3	of	of	ADP
ejpam-6341	529	4	pure	pure	ADJ
ejpam-6341	529	5	and	and	CCONJ
ejpam-6341	529	6	applied	applied	ADJ
ejpam-6341	529	7	mathematics	mathematic	NOUN
ejpam-6341	529	8	,	,	PUNCT
ejpam-6341	529	9	18(1):5712–5712	18(1):5712–5712	NUM
ejpam-6341	529	10	,	,	PUNCT
ejpam-6341	529	11	2025	2025	NUM
ejpam-6341	529	12	.	.	PUNCT