id	sid	tid	token	lemma	pos
ejpam-1099	1	1	european	european	PROPN
ejpam-1099	1	2	journal	journal	PROPN
ejpam-1099	1	3	of	of	ADP
ejpam-1099	1	4	pure	pure	ADJ
ejpam-1099	1	5	and	and	CCONJ
ejpam-1099	1	6	applied	apply	VERB
ejpam-1099	1	7	mathematics	mathematic	NOUN
ejpam-1099	1	8	vol	vol	NOUN
ejpam-1099	1	9	.	.	PROPN
ejpam-1099	2	1	6	6	NUM
ejpam-1099	2	2	,	,	PUNCT
ejpam-1099	2	3	no	no	INTJ
ejpam-1099	2	4	.	.	NOUN
ejpam-1099	2	5	2	2	NUM
ejpam-1099	2	6	,	,	PUNCT
ejpam-1099	2	7	2013	2013	NUM
ejpam-1099	2	8	,	,	PUNCT
ejpam-1099	2	9	126	126	NUM
ejpam-1099	2	10	-	-	SYM
ejpam-1099	2	11	136	136	NUM
ejpam-1099	2	12	issn	issn	PROPN
ejpam-1099	2	13	1307	1307	NUM
ejpam-1099	2	14	-	-	SYM
ejpam-1099	2	15	5543	5543	NUM
ejpam-1099	2	16	–	–	PUNCT
ejpam-1099	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-1099	2	18	a	a	DET
ejpam-1099	2	19	complete	complete	ADJ
ejpam-1099	2	20	classification	classification	NOUN
ejpam-1099	2	21	of	of	ADP
ejpam-1099	2	22	liénard	liénard	PROPN
ejpam-1099	2	23	equation	equation	NOUN
ejpam-1099	2	24	halim	halim	PROPN
ejpam-1099	2	25	zeghdoudi1,3,∗	zeghdoudi1,3,∗	PROPN
ejpam-1099	2	26	,	,	PUNCT
ejpam-1099	2	27	lahsen	lahsen	PROPN
ejpam-1099	2	28	bouchahed1	bouchahed1	PROPN
ejpam-1099	2	29	,	,	PUNCT
ejpam-1099	2	30	raouf	raouf	PROPN
ejpam-1099	2	31	dridi	dridi	ADJ
ejpam-1099	2	32	2	2	NUM
ejpam-1099	2	33	1	1	NUM
ejpam-1099	2	34	laps	lap	NOUN
ejpam-1099	2	35	laboratory	laboratory	NOUN
ejpam-1099	2	36	,	,	PUNCT
ejpam-1099	2	37	badji	badji	PROPN
ejpam-1099	2	38	-	-	PUNCT
ejpam-1099	2	39	mokhtar	mokhtar	PROPN
ejpam-1099	2	40	university	university	PROPN
ejpam-1099	2	41	,	,	PUNCT
ejpam-1099	2	42	box:12	box:12	PROPN
ejpam-1099	2	43	,	,	PUNCT
ejpam-1099	2	44	annaba	annaba	PROPN
ejpam-1099	2	45	23000	23000	NUM
ejpam-1099	2	46	-	-	PUNCT
ejpam-1099	2	47	algeria	algeria	PROPN
ejpam-1099	2	48	2	2	NUM
ejpam-1099	2	49	department	department	NOUN
ejpam-1099	2	50	of	of	ADP
ejpam-1099	2	51	mathematics	mathematic	NOUN
ejpam-1099	2	52	,	,	PUNCT
ejpam-1099	2	53	university	university	PROPN
ejpam-1099	2	54	of	of	ADP
ejpam-1099	2	55	british	british	PROPN
ejpam-1099	2	56	columbia	columbia	PROPN
ejpam-1099	2	57	,	,	PUNCT
ejpam-1099	2	58	vancouver	vancouver	PROPN
ejpam-1099	2	59	,	,	PUNCT
ejpam-1099	2	60	bc	bc	PROPN
ejpam-1099	2	61	v6	v6	PROPN
ejpam-1099	2	62	t	t	PROPN
ejpam-1099	2	63	1z1,canada	1z1,canada	NUM
ejpam-1099	2	64	3	3	NUM
ejpam-1099	2	65	department	department	NOUN
ejpam-1099	2	66	computing	compute	VERB
ejpam-1099	2	67	mathematics	mathematic	NOUN
ejpam-1099	2	68	and	and	CCONJ
ejpam-1099	2	69	physics	physics	PROPN
ejpam-1099	2	70	,	,	PUNCT
ejpam-1099	2	71	waterford	waterford	PROPN
ejpam-1099	2	72	institute	institute	PROPN
ejpam-1099	2	73	of	of	ADP
ejpam-1099	2	74	technology	technology	PROPN
ejpam-1099	2	75	,	,	PUNCT
ejpam-1099	2	76	waterfordireland	waterfordireland	NOUN
ejpam-1099	2	77	abstract	abstract	NOUN
ejpam-1099	2	78	.	.	PUNCT
ejpam-1099	3	1	we	we	PRON
ejpam-1099	3	2	consider	consider	VERB
ejpam-1099	3	3	scalar	scalar	ADJ
ejpam-1099	3	4	liénard	liénard	PROPN
ejpam-1099	3	5	equations	equation	NOUN
ejpam-1099	3	6	ẍ(t	ẍ(t	PROPN
ejpam-1099	3	7	)	)	PUNCT
ejpam-1099	4	1	=	=	SYM
ejpam-1099	4	2	f	f	PROPN
ejpam-1099	4	3	(	(	PUNCT
ejpam-1099	4	4	x(t	x(t	PROPN
ejpam-1099	4	5	)	)	PUNCT
ejpam-1099	4	6	)	)	PUNCT
ejpam-1099	5	1	ẋ(t	ẋ(t	NUM
ejpam-1099	5	2	)	)	PUNCT
ejpam-1099	6	1	+	+	CCONJ
ejpam-1099	6	2	g(x(t	g(x(t	PROPN
ejpam-1099	6	3	)	)	PUNCT
ejpam-1099	6	4	)	)	PUNCT
ejpam-1099	6	5	,	,	PUNCT
ejpam-1099	6	6	x(t	x(t	PROPN
ejpam-1099	6	7	)	)	PUNCT
ejpam-1099	6	8	∈r	∈r	NOUN
ejpam-1099	6	9	(	(	PUNCT
ejpam-1099	6	10	1	1	NUM
ejpam-1099	6	11	)	)	PUNCT
ejpam-1099	6	12	and	and	CCONJ
ejpam-1099	6	13	the	the	DET
ejpam-1099	6	14	diffeomorphisms	diffeomorphisms	PROPN
ejpam-1099	6	15	ϕ	ϕ	NOUN
ejpam-1099	6	16	:	:	PUNCT
ejpam-1099	6	17	r2→	r2→	NOUN
ejpam-1099	6	18	r2	r2	NOUN
ejpam-1099	6	19	in	in	ADP
ejpam-1099	6	20	the	the	DET
ejpam-1099	6	21	form	form	NOUN
ejpam-1099	6	22	ϕ(x	ϕ(x	PROPN
ejpam-1099	6	23	,	,	PUNCT
ejpam-1099	6	24	t	t	PROPN
ejpam-1099	6	25	)	)	PUNCT
ejpam-1099	6	26	=	=	SYM
ejpam-1099	6	27	(	(	PUNCT
ejpam-1099	6	28	β(x	β(x	NOUN
ejpam-1099	6	29	)	)	PUNCT
ejpam-1099	6	30	,	,	PUNCT
ejpam-1099	6	31	a.t	a.t	PROPN
ejpam-1099	6	32	+	+	NOUN
ejpam-1099	6	33	α(x	α(x	NOUN
ejpam-1099	6	34	)	)	PUNCT
ejpam-1099	6	35	)	)	PUNCT
ejpam-1099	6	36	(	(	PUNCT
ejpam-1099	6	37	2	2	X
ejpam-1099	6	38	)	)	PUNCT
ejpam-1099	6	39	where	where	SCONJ
ejpam-1099	6	40	the	the	DET
ejpam-1099	6	41	derivative	derivative	NOUN
ejpam-1099	6	42	of	of	ADP
ejpam-1099	6	43	the	the	DET
ejpam-1099	6	44	function	function	NOUN
ejpam-1099	6	45	β	β	X
ejpam-1099	6	46	is	be	AUX
ejpam-1099	6	47	non	non	ADJ
ejpam-1099	6	48	zero	zero	NUM
ejpam-1099	6	49	and	and	CCONJ
ejpam-1099	6	50	where	where	SCONJ
ejpam-1099	6	51	the	the	DET
ejpam-1099	6	52	real	real	ADJ
ejpam-1099	6	53	number	number	NOUN
ejpam-1099	6	54	a	a	PRON
ejpam-1099	6	55	is	be	AUX
ejpam-1099	6	56	non	non	ADJ
ejpam-1099	6	57	zero	zero	NUM
ejpam-1099	6	58	.	.	PUNCT
ejpam-1099	7	1	the	the	DET
ejpam-1099	7	2	aim	aim	NOUN
ejpam-1099	7	3	result	result	NOUN
ejpam-1099	7	4	of	of	ADP
ejpam-1099	7	5	this	this	DET
ejpam-1099	7	6	paper	paper	NOUN
ejpam-1099	7	7	is	be	AUX
ejpam-1099	7	8	to	to	PART
ejpam-1099	7	9	study	study	VERB
ejpam-1099	7	10	the	the	DET
ejpam-1099	7	11	symmetries	symmetry	NOUN
ejpam-1099	7	12	in	in	ADP
ejpam-1099	7	13	the	the	DET
ejpam-1099	7	14	form	form	NOUN
ejpam-1099	7	15	given	give	VERB
ejpam-1099	7	16	by	by	ADP
ejpam-1099	7	17	(	(	PUNCT
ejpam-1099	7	18	2	2	NUM
ejpam-1099	7	19	)	)	PUNCT
ejpam-1099	7	20	for	for	ADP
ejpam-1099	7	21	the	the	DET
ejpam-1099	7	22	equation	equation	NOUN
ejpam-1099	7	23	(	(	PUNCT
ejpam-1099	7	24	1	1	NUM
ejpam-1099	7	25	)	)	PUNCT
ejpam-1099	7	26	.	.	PUNCT
ejpam-1099	8	1	2010	2010	NUM
ejpam-1099	8	2	mathematics	mathematic	NOUN
ejpam-1099	8	3	subject	subject	NOUN
ejpam-1099	8	4	classifications	classification	NOUN
ejpam-1099	8	5	:	:	PUNCT
ejpam-1099	8	6	47a63	47a63	NUM
ejpam-1099	8	7	,	,	PUNCT
ejpam-1099	8	8	26a51	26a51	NUM
ejpam-1099	8	9	,	,	PUNCT
ejpam-1099	8	10	45a90	45a90	NUM
ejpam-1099	8	11	key	key	ADJ
ejpam-1099	8	12	words	word	NOUN
ejpam-1099	8	13	and	and	CCONJ
ejpam-1099	8	14	phrases	phrase	NOUN
ejpam-1099	8	15	:	:	PUNCT
ejpam-1099	8	16	liénard	liénard	PROPN
ejpam-1099	8	17	equation	equation	NOUN
ejpam-1099	8	18	,	,	PUNCT
ejpam-1099	8	19	lie	lie	VERB
ejpam-1099	8	20	’s	’s	PART
ejpam-1099	8	21	symmetries	symmetry	NOUN
ejpam-1099	8	22	,	,	PUNCT
ejpam-1099	8	23	characteristic	characteristic	ADJ
ejpam-1099	8	24	sets	set	NOUN
ejpam-1099	8	25	1	1	NUM
ejpam-1099	8	26	.	.	PUNCT
ejpam-1099	9	1	introduction	introduction	NOUN
ejpam-1099	9	2	van	van	PROPN
ejpam-1099	9	3	der	der	PROPN
ejpam-1099	9	4	pol	pol	NOUN
ejpam-1099	9	5	equation	equation	NOUN
ejpam-1099	9	6	is	be	AUX
ejpam-1099	9	7	an	an	DET
ejpam-1099	9	8	example	example	NOUN
ejpam-1099	9	9	of	of	ADP
ejpam-1099	9	10	the	the	DET
ejpam-1099	9	11	long	long	ADV
ejpam-1099	9	12	-	-	PUNCT
ejpam-1099	9	13	standing	stand	VERB
ejpam-1099	9	14	interaction	interaction	NOUN
ejpam-1099	9	15	between	between	ADP
ejpam-1099	9	16	differential	differential	ADJ
ejpam-1099	9	17	equations	equation	NOUN
ejpam-1099	9	18	and	and	CCONJ
ejpam-1099	9	19	the	the	DET
ejpam-1099	9	20	physical	physical	ADJ
ejpam-1099	9	21	and	and	CCONJ
ejpam-1099	9	22	biological	biological	ADJ
ejpam-1099	9	23	sciences	science	NOUN
ejpam-1099	9	24	.	.	PUNCT
ejpam-1099	10	1	during	during	ADP
ejpam-1099	10	2	the	the	DET
ejpam-1099	10	3	development	development	NOUN
ejpam-1099	10	4	of	of	ADP
ejpam-1099	10	5	radio	radio	NOUN
ejpam-1099	10	6	and	and	CCONJ
ejpam-1099	10	7	vacuum	vacuum	NOUN
ejpam-1099	10	8	tubes	tube	NOUN
ejpam-1099	10	9	,	,	PUNCT
ejpam-1099	10	10	liénard	liénard	PROPN
ejpam-1099	10	11	equations	equation	NOUN
ejpam-1099	10	12	were	be	AUX
ejpam-1099	10	13	intensely	intensely	ADV
ejpam-1099	10	14	studied	study	VERB
ejpam-1099	10	15	as	as	SCONJ
ejpam-1099	10	16	they	they	PRON
ejpam-1099	10	17	can	can	AUX
ejpam-1099	10	18	be	be	AUX
ejpam-1099	10	19	used	use	VERB
ejpam-1099	10	20	to	to	PART
ejpam-1099	10	21	model	model	VERB
ejpam-1099	10	22	oscillating	oscillate	VERB
ejpam-1099	10	23	circuits	circuit	NOUN
ejpam-1099	10	24	.	.	PUNCT
ejpam-1099	11	1	in	in	ADP
ejpam-1099	11	2	1920	1920	NUM
ejpam-1099	11	3	the	the	DET
ejpam-1099	11	4	dutch	dutch	ADJ
ejpam-1099	11	5	physicist	physicist	NOUN
ejpam-1099	11	6	balthasar	balthasar	VERB
ejpam-1099	11	7	van	van	PROPN
ejpam-1099	11	8	der	der	PROPN
ejpam-1099	11	9	pol	pol	NOUN
ejpam-1099	11	10	,	,	PUNCT
ejpam-1099	11	11	when	when	SCONJ
ejpam-1099	11	12	he	he	PRON
ejpam-1099	11	13	was	be	AUX
ejpam-1099	11	14	an	an	DET
ejpam-1099	11	15	engineer	engineer	NOUN
ejpam-1099	11	16	working	work	VERB
ejpam-1099	11	17	for	for	ADP
ejpam-1099	11	18	philips	philip	NOUN
ejpam-1099	11	19	company	company	NOUN
ejpam-1099	11	20	,	,	PUNCT
ejpam-1099	11	21	studied	study	VERB
ejpam-1099	11	22	the	the	DET
ejpam-1099	11	23	differential	differential	ADJ
ejpam-1099	11	24	equation	equation	NOUN
ejpam-1099	11	25	ẍ	ẍ	PUNCT
ejpam-1099	12	1	−	−	PROPN
ejpam-1099	12	2	ε(1−	ε(1−	PROPN
ejpam-1099	12	3	x2	x2	PROPN
ejpam-1099	12	4	)	)	PUNCT
ejpam-1099	12	5	ẋ	ẋ	PUNCT
ejpam-1099	13	1	+	+	NUM
ejpam-1099	13	2	x	x	X
ejpam-1099	13	3	=	=	SYM
ejpam-1099	13	4	0	0	NUM
ejpam-1099	13	5	that	that	PRON
ejpam-1099	13	6	describes	describe	VERB
ejpam-1099	13	7	the	the	DET
ejpam-1099	13	8	circuit	circuit	NOUN
ejpam-1099	13	9	of	of	ADP
ejpam-1099	13	10	a	a	DET
ejpam-1099	13	11	vacuum	vacuum	NOUN
ejpam-1099	13	12	tube	tube	NOUN
ejpam-1099	13	13	and	and	CCONJ
ejpam-1099	13	14	where	where	SCONJ
ejpam-1099	13	15	ε	ε	PROPN
ejpam-1099	13	16	is	be	AUX
ejpam-1099	13	17	positive	positive	ADJ
ejpam-1099	13	18	parameter	parameter	NOUN
ejpam-1099	13	19	.	.	PUNCT
ejpam-1099	14	1	a	a	DET
ejpam-1099	14	2	few	few	ADJ
ejpam-1099	14	3	years	year	NOUN
ejpam-1099	14	4	after	after	ADP
ejpam-1099	14	5	,	,	PUNCT
ejpam-1099	14	6	[	[	X
ejpam-1099	14	7	9	9	NUM
ejpam-1099	14	8	]	]	PUNCT
ejpam-1099	14	9	modeled	model	VERB
ejpam-1099	14	10	the	the	DET
ejpam-1099	14	11	electric	electric	ADJ
ejpam-1099	14	12	activity	activity	NOUN
ejpam-1099	14	13	of	of	ADP
ejpam-1099	14	14	the	the	DET
ejpam-1099	14	15	heart	heart	NOUN
ejpam-1099	14	16	rate	rate	NOUN
ejpam-1099	14	17	.	.	PUNCT
ejpam-1099	15	1	poles	pole	NOUN
ejpam-1099	15	2	(	(	PUNCT
ejpam-1099	15	3	in	in	ADP
ejpam-1099	15	4	chaos	chaos	NOUN
ejpam-1099	15	5	2007	2007	NUM
ejpam-1099	15	6	)	)	PUNCT
ejpam-1099	15	7	,	,	PUNCT
ejpam-1099	15	8	developed	develop	VERB
ejpam-1099	15	9	their	their	PRON
ejpam-1099	15	10	own	own	ADJ
ejpam-1099	15	11	modified	modify	VERB
ejpam-1099	15	12	van	van	PROPN
ejpam-1099	15	13	der	der	ADJ
ejpam-1099	15	14	pol	pol	NOUN
ejpam-1099	15	15	oscillator	oscillator	NOUN
ejpam-1099	15	16	reproducing	reproduce	VERB
ejpam-1099	15	17	irregular	irregular	ADJ
ejpam-1099	15	18	heart	heart	NOUN
ejpam-1099	15	19	rate	rate	NOUN
ejpam-1099	15	20	,	,	PUNCT
ejpam-1099	15	21	asystole	asystole	PROPN
ejpam-1099	15	22	,	,	PUNCT
ejpam-1099	15	23	certain	certain	ADJ
ejpam-1099	15	24	kinds	kind	NOUN
ejpam-1099	15	25	of	of	ADP
ejpam-1099	15	26	heart	heart	NOUN
ejpam-1099	15	27	block	block	NOUN
ejpam-1099	15	28	,	,	PUNCT
ejpam-1099	15	29	and	and	CCONJ
ejpam-1099	15	30	others	other	NOUN
ejpam-1099	15	31	.	.	PUNCT
ejpam-1099	16	1	in	in	ADP
ejpam-1099	16	2	the	the	DET
ejpam-1099	16	3	sixties	sixty	NOUN
ejpam-1099	16	4	,	,	PUNCT
ejpam-1099	16	5	fitzhugh	fitzhugh	VERB
ejpam-1099	16	6	[	[	X
ejpam-1099	16	7	4	4	NUM
ejpam-1099	16	8	]	]	PUNCT
ejpam-1099	16	9	and	and	CCONJ
ejpam-1099	16	10	nagumo	nagumo	ADJ
ejpam-1099	16	11	[	[	X
ejpam-1099	16	12	8	8	NUM
ejpam-1099	16	13	]	]	PUNCT
ejpam-1099	16	14	extended	extend	VERB
ejpam-1099	16	15	the	the	DET
ejpam-1099	16	16	∗corresponding	∗corresponde	VERB
ejpam-1099	16	17	author	author	NOUN
ejpam-1099	16	18	.	.	PUNCT
ejpam-1099	17	1	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1099	18	1	126	126	NUM
ejpam-1099	19	1	c	c	X
ejpam-1099	19	2	©	©	PROPN
ejpam-1099	19	3	2013	2013	NUM
ejpam-1099	19	4	ejpam	ejpam	NOUN
ejpam-1099	19	5	all	all	DET
ejpam-1099	19	6	rights	right	NOUN
ejpam-1099	19	7	reserved	reserve	VERB
ejpam-1099	19	8	.	.	PUNCT
ejpam-1099	20	1	h.	h.	PROPN
ejpam-1099	20	2	zeghdoudi	zeghdoudi	PROPN
ejpam-1099	20	3	,	,	PUNCT
ejpam-1099	20	4	l.	l.	PROPN
ejpam-1099	20	5	bouchahed	bouchahe	VERB
ejpam-1099	20	6	,	,	PUNCT
ejpam-1099	20	7	r.dridi	r.dridi	PROPN
ejpam-1099	20	8	/	/	SYM
ejpam-1099	20	9	eur	eur	PROPN
ejpam-1099	20	10	.	.	PUNCT
ejpam-1099	21	1	j.	j.	PROPN
ejpam-1099	21	2	pure	pure	PROPN
ejpam-1099	21	3	appl	appl	PROPN
ejpam-1099	21	4	.	.	PROPN
ejpam-1099	21	5	math	math	PROPN
ejpam-1099	21	6	,	,	PUNCT
ejpam-1099	21	7	6	6	NUM
ejpam-1099	21	8	(	(	PUNCT
ejpam-1099	21	9	2013	2013	NUM
ejpam-1099	21	10	)	)	PUNCT
ejpam-1099	21	11	,	,	PUNCT
ejpam-1099	21	12	126	126	NUM
ejpam-1099	21	13	-	-	SYM
ejpam-1099	21	14	136	136	NUM
ejpam-1099	21	15	127	127	NUM
ejpam-1099	21	16	van	van	PROPN
ejpam-1099	21	17	der	der	ADJ
ejpam-1099	21	18	pol	pol	NOUN
ejpam-1099	21	19	equation	equation	NOUN
ejpam-1099	21	20	in	in	ADP
ejpam-1099	21	21	a	a	DET
ejpam-1099	21	22	planar	planar	ADJ
ejpam-1099	21	23	field	field	NOUN
ejpam-1099	21	24	as	as	ADP
ejpam-1099	21	25	a	a	DET
ejpam-1099	21	26	model	model	NOUN
ejpam-1099	21	27	for	for	ADP
ejpam-1099	21	28	action	action	NOUN
ejpam-1099	21	29	potentials	potential	NOUN
ejpam-1099	21	30	of	of	ADP
ejpam-1099	21	31	neurons	neuron	NOUN
ejpam-1099	21	32	.	.	PUNCT
ejpam-1099	22	1	recently	recently	ADV
ejpam-1099	22	2	,	,	PUNCT
ejpam-1099	22	3	the	the	DET
ejpam-1099	22	4	equation	equation	NOUN
ejpam-1099	22	5	has	have	AUX
ejpam-1099	22	6	also	also	ADV
ejpam-1099	22	7	been	be	AUX
ejpam-1099	22	8	utilised	utilise	VERB
ejpam-1099	22	9	in	in	ADP
ejpam-1099	22	10	seismology	seismology	NOUN
ejpam-1099	22	11	to	to	PART
ejpam-1099	22	12	model	model	VERB
ejpam-1099	22	13	the	the	DET
ejpam-1099	22	14	two	two	NUM
ejpam-1099	22	15	plates	plate	NOUN
ejpam-1099	22	16	in	in	ADP
ejpam-1099	22	17	a	a	DET
ejpam-1099	22	18	geological	geological	ADJ
ejpam-1099	22	19	fault	fault	NOUN
ejpam-1099	22	20	.	.	PUNCT
ejpam-1099	23	1	the	the	DET
ejpam-1099	23	2	french	french	ADJ
ejpam-1099	23	3	engineer	engineer	NOUN
ejpam-1099	23	4	,	,	PUNCT
ejpam-1099	23	5	liénard	liénard	PROPN
ejpam-1099	23	6	propose	propose	VERB
ejpam-1099	23	7	the	the	DET
ejpam-1099	23	8	following	following	ADJ
ejpam-1099	23	9	generalization	generalization	NOUN
ejpam-1099	23	10	ẍ	ẍ	PUNCT
ejpam-1099	24	1	=	=	SYM
ejpam-1099	24	2	f	f	PROPN
ejpam-1099	24	3	(	(	PUNCT
ejpam-1099	24	4	x	x	X
ejpam-1099	24	5	)	)	PUNCT
ejpam-1099	24	6	ẋ	ẋ	PROPN
ejpam-1099	25	1	+	+	CCONJ
ejpam-1099	25	2	g(x	g(x	NOUN
ejpam-1099	25	3	)	)	PUNCT
ejpam-1099	25	4	(	(	PUNCT
ejpam-1099	25	5	3	3	X
ejpam-1099	25	6	)	)	PUNCT
ejpam-1099	25	7	where	where	SCONJ
ejpam-1099	25	8	f	f	PROPN
ejpam-1099	25	9	and	and	CCONJ
ejpam-1099	25	10	g	g	PROPN
ejpam-1099	25	11	are	be	AUX
ejpam-1099	25	12	two	two	NUM
ejpam-1099	25	13	real	real	ADV
ejpam-1099	25	14	-	-	PUNCT
ejpam-1099	25	15	valued	value	VERB
ejpam-1099	25	16	analytic	analytic	ADJ
ejpam-1099	25	17	functions	function	NOUN
ejpam-1099	25	18	.	.	PUNCT
ejpam-1099	26	1	an	an	DET
ejpam-1099	26	2	other	other	ADJ
ejpam-1099	26	3	example	example	NOUN
ejpam-1099	26	4	of	of	ADP
ejpam-1099	26	5	liénard	liénard	ADJ
ejpam-1099	26	6	equation	equation	NOUN
ejpam-1099	26	7	is	be	AUX
ejpam-1099	26	8	given	give	VERB
ejpam-1099	26	9	by	by	ADP
ejpam-1099	26	10	the	the	DET
ejpam-1099	26	11	duffing	duffing	NOUN
ejpam-1099	26	12	’s	’s	PART
ejpam-1099	26	13	equation	equation	NOUN
ejpam-1099	26	14	,	,	PUNCT
ejpam-1099	26	15	the	the	DET
ejpam-1099	26	16	duffing	duffing	NOUN
ejpam-1099	26	17	equation	equation	NOUN
ejpam-1099	26	18	,	,	PUNCT
ejpam-1099	26	19	named	name	VERB
ejpam-1099	26	20	after	after	ADP
ejpam-1099	26	21	georg	georg	NOUN
ejpam-1099	26	22	duffing	duffing	NOUN
ejpam-1099	26	23	,	,	PUNCT
ejpam-1099	26	24	is	be	AUX
ejpam-1099	26	25	a	a	DET
ejpam-1099	26	26	non	non	ADJ
ejpam-1099	26	27	-	-	ADJ
ejpam-1099	26	28	linear	linear	ADJ
ejpam-1099	26	29	second	second	ADJ
ejpam-1099	26	30	-	-	PUNCT
ejpam-1099	26	31	order	order	NOUN
ejpam-1099	26	32	differential	differential	ADJ
ejpam-1099	26	33	equation	equation	NOUN
ejpam-1099	26	34	used	use	VERB
ejpam-1099	26	35	to	to	PART
ejpam-1099	26	36	model	model	VERB
ejpam-1099	26	37	certain	certain	ADJ
ejpam-1099	26	38	damped	damped	NOUN
ejpam-1099	26	39	and	and	CCONJ
ejpam-1099	26	40	driven	drive	VERB
ejpam-1099	26	41	oscillators	oscillator	NOUN
ejpam-1099	26	42	.	.	PUNCT
ejpam-1099	27	1	the	the	DET
ejpam-1099	27	2	equation	equation	NOUN
ejpam-1099	27	3	is	be	AUX
ejpam-1099	27	4	given	give	VERB
ejpam-1099	27	5	by	by	ADP
ejpam-1099	27	6	ẍ	ẍ	X
ejpam-1099	27	7	+	+	PROPN
ejpam-1099	27	8	δ	δ	PROPN
ejpam-1099	27	9	ẋ	ẋ	PUNCT
ejpam-1099	28	1	+	+	ADV
ejpam-1099	28	2	αx	αx	X
ejpam-1099	28	3	+	+	X
ejpam-1099	28	4	β	β	X
ejpam-1099	28	5	x3	x3	NOUN
ejpam-1099	28	6	=	=	PUNCT
ejpam-1099	28	7	γ	γ	X
ejpam-1099	28	8	cos(ωt	cos(ωt	NOUN
ejpam-1099	28	9	)	)	PUNCT
ejpam-1099	28	10	where	where	SCONJ
ejpam-1099	28	11	the	the	DET
ejpam-1099	28	12	(	(	PUNCT
ejpam-1099	28	13	unknown	unknown	ADJ
ejpam-1099	28	14	)	)	PUNCT
ejpam-1099	28	15	function	function	NOUN
ejpam-1099	28	16	x	x	NOUN
ejpam-1099	28	17	=	=	SYM
ejpam-1099	28	18	x(t	x(t	PROPN
ejpam-1099	28	19	)	)	PUNCT
ejpam-1099	28	20	is	be	AUX
ejpam-1099	28	21	the	the	DET
ejpam-1099	28	22	displacement	displacement	NOUN
ejpam-1099	28	23	at	at	ADP
ejpam-1099	28	24	time	time	NOUN
ejpam-1099	28	25	t	t	PROPN
ejpam-1099	28	26	,	,	PUNCT
ejpam-1099	28	27	ẋ	ẋ	PROPN
ejpam-1099	28	28	is	be	AUX
ejpam-1099	28	29	the	the	DET
ejpam-1099	28	30	first	first	ADJ
ejpam-1099	28	31	derivative	derivative	NOUN
ejpam-1099	28	32	of	of	ADP
ejpam-1099	28	33	x	x	PUNCT
ejpam-1099	28	34	with	with	ADP
ejpam-1099	28	35	respect	respect	NOUN
ejpam-1099	28	36	to	to	ADP
ejpam-1099	28	37	time	time	NOUN
ejpam-1099	28	38	,	,	PUNCT
ejpam-1099	28	39	i.e.	i.e.	X
ejpam-1099	28	40	velocity	velocity	NOUN
ejpam-1099	28	41	,	,	PUNCT
ejpam-1099	28	42	and	and	CCONJ
ejpam-1099	28	43	ẍ	ẍ	PROPN
ejpam-1099	28	44	is	be	AUX
ejpam-1099	28	45	the	the	DET
ejpam-1099	28	46	second	second	ADJ
ejpam-1099	28	47	time	time	NOUN
ejpam-1099	28	48	-	-	PUNCT
ejpam-1099	28	49	derivative	derivative	NOUN
ejpam-1099	28	50	of	of	ADP
ejpam-1099	28	51	x	x	X
ejpam-1099	28	52	,	,	PUNCT
ejpam-1099	28	53	i.e.	i.e.	X
ejpam-1099	28	54	acceleration	acceleration	NOUN
ejpam-1099	28	55	.	.	PUNCT
ejpam-1099	29	1	the	the	DET
ejpam-1099	29	2	numbers	number	NOUN
ejpam-1099	29	3	δ	δ	PROPN
ejpam-1099	29	4	,	,	PUNCT
ejpam-1099	29	5	α	α	PROPN
ejpam-1099	29	6	,	,	PUNCT
ejpam-1099	29	7	β	β	X
ejpam-1099	29	8	,	,	PUNCT
ejpam-1099	29	9	γ	γ	PROPN
ejpam-1099	29	10	and	and	CCONJ
ejpam-1099	29	11	ω	ω	PROPN
ejpam-1099	29	12	are	be	AUX
ejpam-1099	29	13	given	give	VERB
ejpam-1099	29	14	constants	constant	NOUN
ejpam-1099	29	15	.	.	PUNCT
ejpam-1099	30	1	the	the	DET
ejpam-1099	30	2	equation	equation	NOUN
ejpam-1099	30	3	describes	describe	VERB
ejpam-1099	30	4	the	the	DET
ejpam-1099	30	5	motion	motion	NOUN
ejpam-1099	30	6	of	of	ADP
ejpam-1099	30	7	a	a	DET
ejpam-1099	30	8	damped	damped	ADJ
ejpam-1099	30	9	oscillator	oscillator	NOUN
ejpam-1099	30	10	with	with	ADP
ejpam-1099	30	11	a	a	DET
ejpam-1099	30	12	more	more	ADV
ejpam-1099	30	13	complicated	complicated	ADJ
ejpam-1099	30	14	potential	potential	NOUN
ejpam-1099	30	15	than	than	ADP
ejpam-1099	30	16	in	in	ADP
ejpam-1099	30	17	simple	simple	ADJ
ejpam-1099	30	18	harmonic	harmonic	ADJ
ejpam-1099	30	19	motion	motion	NOUN
ejpam-1099	30	20	(	(	PUNCT
ejpam-1099	30	21	which	which	PRON
ejpam-1099	30	22	corresponds	correspond	VERB
ejpam-1099	30	23	to	to	ADP
ejpam-1099	30	24	the	the	DET
ejpam-1099	30	25	case	case	NOUN
ejpam-1099	30	26	β	β	X
ejpam-1099	30	27	=	=	PUNCT
ejpam-1099	30	28	δ	δ	X
ejpam-1099	30	29	=	=	PUNCT
ejpam-1099	30	30	0	0	NUM
ejpam-1099	30	31	)	)	PUNCT
ejpam-1099	30	32	;	;	PUNCT
ejpam-1099	30	33	in	in	ADP
ejpam-1099	30	34	physical	physical	ADJ
ejpam-1099	30	35	terms	term	NOUN
ejpam-1099	30	36	,	,	PUNCT
ejpam-1099	30	37	it	it	PRON
ejpam-1099	30	38	models	model	VERB
ejpam-1099	30	39	,	,	PUNCT
ejpam-1099	30	40	for	for	ADP
ejpam-1099	30	41	example	example	NOUN
ejpam-1099	30	42	,	,	PUNCT
ejpam-1099	30	43	a	a	DET
ejpam-1099	30	44	spring	spring	NOUN
ejpam-1099	30	45	pendulum	pendulum	NOUN
ejpam-1099	30	46	whose	whose	DET
ejpam-1099	30	47	spring	spring	NOUN
ejpam-1099	30	48	’s	’s	PART
ejpam-1099	30	49	stiffness	stiffness	NOUN
ejpam-1099	30	50	does	do	AUX
ejpam-1099	30	51	not	not	PART
ejpam-1099	30	52	exactly	exactly	ADV
ejpam-1099	30	53	obey	obey	VERB
ejpam-1099	30	54	hooke	hooke	PROPN
ejpam-1099	30	55	’s	’s	PART
ejpam-1099	30	56	law	law	NOUN
ejpam-1099	30	57	.	.	PUNCT
ejpam-1099	31	1	the	the	DET
ejpam-1099	31	2	duffing	duffing	NOUN
ejpam-1099	31	3	equation	equation	NOUN
ejpam-1099	31	4	is	be	AUX
ejpam-1099	31	5	an	an	DET
ejpam-1099	31	6	example	example	NOUN
ejpam-1099	31	7	of	of	ADP
ejpam-1099	31	8	a	a	DET
ejpam-1099	31	9	dynamical	dynamical	ADJ
ejpam-1099	31	10	system	system	NOUN
ejpam-1099	31	11	that	that	PRON
ejpam-1099	31	12	exhibits	exhibit	VERB
ejpam-1099	31	13	chaotic	chaotic	ADJ
ejpam-1099	31	14	behavior	behavior	NOUN
ejpam-1099	31	15	.	.	PUNCT
ejpam-1099	32	1	moreover	moreover	ADV
ejpam-1099	32	2	the	the	DET
ejpam-1099	32	3	duffing	duffing	NOUN
ejpam-1099	32	4	system	system	NOUN
ejpam-1099	32	5	presents	present	VERB
ejpam-1099	32	6	in	in	ADP
ejpam-1099	32	7	the	the	DET
ejpam-1099	32	8	frequency	frequency	NOUN
ejpam-1099	32	9	response	response	NOUN
ejpam-1099	32	10	the	the	DET
ejpam-1099	32	11	jump	jump	NOUN
ejpam-1099	32	12	resonance	resonance	NOUN
ejpam-1099	32	13	phenomenon	phenomenon	NOUN
ejpam-1099	32	14	that	that	PRON
ejpam-1099	32	15	is	be	AUX
ejpam-1099	32	16	a	a	DET
ejpam-1099	32	17	sort	sort	NOUN
ejpam-1099	32	18	of	of	ADP
ejpam-1099	32	19	frequency	frequency	NOUN
ejpam-1099	32	20	hysteresis	hysteresis	NOUN
ejpam-1099	32	21	behaviour	behaviour	NOUN
ejpam-1099	32	22	.	.	PUNCT
ejpam-1099	33	1	the	the	DET
ejpam-1099	33	2	forced	force	VERB
ejpam-1099	33	3	duffing	duffing	NOUN
ejpam-1099	33	4	’s	’s	PART
ejpam-1099	33	5	equation	equation	NOUN
ejpam-1099	33	6	,	,	PUNCT
ejpam-1099	33	7	which	which	PRON
ejpam-1099	33	8	is	be	AUX
ejpam-1099	33	9	one	one	NUM
ejpam-1099	33	10	of	of	ADP
ejpam-1099	33	11	the	the	DET
ejpam-1099	33	12	classical	classical	ADJ
ejpam-1099	33	13	oscillators	oscillator	NOUN
ejpam-1099	33	14	first	first	ADV
ejpam-1099	33	15	published	publish	VERB
ejpam-1099	33	16	by	by	ADP
ejpam-1099	33	17	duffing	duffe	VERB
ejpam-1099	33	18	in	in	ADP
ejpam-1099	33	19	1918	1918	NUM
ejpam-1099	33	20	.it	.it	PUNCT
ejpam-1099	33	21	is	be	AUX
ejpam-1099	33	22	the	the	DET
ejpam-1099	33	23	simplest	simple	ADJ
ejpam-1099	33	24	oscillator	oscillator	NOUN
ejpam-1099	33	25	displaying	display	VERB
ejpam-1099	33	26	catastrophic	catastrophic	ADJ
ejpam-1099	33	27	jumps	jump	NOUN
ejpam-1099	33	28	of	of	ADP
ejpam-1099	33	29	amplitude	amplitude	NOUN
ejpam-1099	33	30	and	and	CCONJ
ejpam-1099	33	31	phase	phase	NOUN
ejpam-1099	33	32	when	when	SCONJ
ejpam-1099	33	33	the	the	DET
ejpam-1099	33	34	frequency	frequency	NOUN
ejpam-1099	33	35	of	of	ADP
ejpam-1099	33	36	the	the	DET
ejpam-1099	33	37	forcing	force	VERB
ejpam-1099	33	38	term	term	NOUN
ejpam-1099	33	39	is	be	AUX
ejpam-1099	33	40	taken	take	VERB
ejpam-1099	33	41	as	as	ADP
ejpam-1099	33	42	a	a	DET
ejpam-1099	33	43	gradually	gradually	ADV
ejpam-1099	33	44	changing	change	VERB
ejpam-1099	33	45	parameter	parameter	NOUN
ejpam-1099	33	46	.	.	PUNCT
ejpam-1099	34	1	the	the	DET
ejpam-1099	34	2	main	main	ADJ
ejpam-1099	34	3	applications	application	NOUN
ejpam-1099	34	4	have	have	AUX
ejpam-1099	34	5	been	be	AUX
ejpam-1099	34	6	in	in	ADP
ejpam-1099	34	7	electronics	electronic	NOUN
ejpam-1099	34	8	,	,	PUNCT
ejpam-1099	34	9	mechanic	mechanic	NOUN
ejpam-1099	34	10	,	,	PUNCT
ejpam-1099	34	11	in	in	ADP
ejpam-1099	34	12	biology	biology	NOUN
ejpam-1099	34	13	.	.	PUNCT
ejpam-1099	35	1	for	for	ADP
ejpam-1099	35	2	example	example	NOUN
ejpam-1099	35	3	,	,	PUNCT
ejpam-1099	35	4	the	the	DET
ejpam-1099	35	5	brain	brain	NOUN
ejpam-1099	35	6	is	be	AUX
ejpam-1099	35	7	full	full	ADJ
ejpam-1099	35	8	of	of	ADP
ejpam-1099	35	9	oscillators	oscillator	NOUN
ejpam-1099	35	10	at	at	ADP
ejpam-1099	35	11	micro	micro	ADJ
ejpam-1099	35	12	level	level	NOUN
ejpam-1099	35	13	,	,	PUNCT
ejpam-1099	35	14	and	and	CCONJ
ejpam-1099	35	15	at	at	ADP
ejpam-1099	35	16	macro	macro	ADJ
ejpam-1099	35	17	level	level	NOUN
ejpam-1099	35	18	displays	display	NOUN
ejpam-1099	35	19	jumps	jump	VERB
ejpam-1099	35	20	in	in	ADP
ejpam-1099	35	21	sensory	sensory	ADJ
ejpam-1099	35	22	perception	perception	NOUN
ejpam-1099	35	23	,	,	PUNCT
ejpam-1099	35	24	in	in	ADP
ejpam-1099	35	25	psychological	psychological	ADJ
ejpam-1099	35	26	perception	perception	NOUN
ejpam-1099	35	27	,	,	PUNCT
ejpam-1099	35	28	in	in	ADP
ejpam-1099	35	29	regulation	regulation	NOUN
ejpam-1099	35	30	,	,	PUNCT
ejpam-1099	35	31	in	in	ADP
ejpam-1099	35	32	switches	switch	NOUN
ejpam-1099	35	33	of	of	ADP
ejpam-1099	35	34	mood	mood	NOUN
ejpam-1099	35	35	,	,	PUNCT
ejpam-1099	35	36	memory	memory	NOUN
ejpam-1099	35	37	,	,	PUNCT
ejpam-1099	35	38	and	and	CCONJ
ejpam-1099	35	39	behaviour	behaviour	NOUN
ejpam-1099	35	40	,	,	PUNCT
ejpam-1099	35	41	to	to	PART
ejpam-1099	35	42	say	say	VERB
ejpam-1099	35	43	nothing	nothing	PRON
ejpam-1099	35	44	of	of	ADP
ejpam-1099	35	45	falling	fall	VERB
ejpam-1099	35	46	asleep	asleep	ADJ
ejpam-1099	35	47	and	and	CCONJ
ejpam-1099	35	48	waking	wake	VERB
ejpam-1099	35	49	up	up	ADP
ejpam-1099	35	50	.	.	PUNCT
ejpam-1099	36	1	in	in	ADP
ejpam-1099	36	2	addition	addition	NOUN
ejpam-1099	36	3	,	,	PUNCT
ejpam-1099	36	4	the	the	DET
ejpam-1099	36	5	two	two	NUM
ejpam-1099	36	6	-	-	PUNCT
ejpam-1099	36	7	dimensional	dimensional	ADJ
ejpam-1099	36	8	autonomous	autonomous	ADJ
ejpam-1099	36	9	dynamical	dynamical	ADJ
ejpam-1099	36	10	system	system	NOUN
ejpam-1099	36	11	is	be	AUX
ejpam-1099	36	12	defined	define	VERB
ejpam-1099	36	13	by	by	ADP
ejpam-1099	36	14	two	two	NUM
ejpam-1099	36	15	coupled	couple	VERB
ejpam-1099	36	16	first	first	ADJ
ejpam-1099	36	17	order	order	NOUN
ejpam-1099	36	18	differential	differential	ADJ
ejpam-1099	36	19	equations	equation	NOUN
ejpam-1099	36	20	of	of	ADP
ejpam-1099	36	21	the	the	DET
ejpam-1099	36	22	form	form	NOUN
ejpam-1099	36	23	ẋ	ẋ	PUNCT
ejpam-1099	37	1	=	=	PUNCT
ejpam-1099	37	2	p(x	p(x	PROPN
ejpam-1099	37	3	,	,	PUNCT
ejpam-1099	37	4	y	y	PROPN
ejpam-1099	37	5	)	)	PUNCT
ejpam-1099	37	6	,	,	PUNCT
ejpam-1099	37	7	ẏ	ẏ	PROPN
ejpam-1099	37	8	=	=	SYM
ejpam-1099	37	9	q(x	q(x	PROPN
ejpam-1099	37	10	,	,	PUNCT
ejpam-1099	37	11	y	y	PROPN
ejpam-1099	37	12	)	)	PUNCT
ejpam-1099	37	13	(	(	PUNCT
ejpam-1099	37	14	4	4	X
ejpam-1099	37	15	)	)	PUNCT
ejpam-1099	37	16	where	where	SCONJ
ejpam-1099	37	17	p	p	NOUN
ejpam-1099	37	18	and	and	CCONJ
ejpam-1099	37	19	q	q	NOUN
ejpam-1099	37	20	are	be	AUX
ejpam-1099	37	21	two	two	NUM
ejpam-1099	37	22	functions	function	NOUN
ejpam-1099	37	23	of	of	ADP
ejpam-1099	37	24	the	the	DET
ejpam-1099	37	25	variables	variable	NOUN
ejpam-1099	37	26	x	x	PUNCT
ejpam-1099	37	27	and	and	CCONJ
ejpam-1099	37	28	y	y	PROPN
ejpam-1099	37	29	and	and	CCONJ
ejpam-1099	37	30	the	the	DET
ejpam-1099	37	31	overdots	overdot	NOUN
ejpam-1099	37	32	denote	denote	VERB
ejpam-1099	37	33	a	a	DET
ejpam-1099	37	34	time	time	NOUN
ejpam-1099	37	35	derivative	derivative	ADJ
ejpam-1099	37	36	.	.	PUNCT
ejpam-1099	38	1	such	such	DET
ejpam-1099	38	2	a	a	DET
ejpam-1099	38	3	dynamical	dynamical	ADJ
ejpam-1099	38	4	system	system	NOUN
ejpam-1099	38	5	appears	appear	VERB
ejpam-1099	38	6	very	very	ADV
ejpam-1099	38	7	often	often	ADV
ejpam-1099	38	8	within	within	ADP
ejpam-1099	38	9	several	several	ADJ
ejpam-1099	38	10	branches	branch	NOUN
ejpam-1099	38	11	of	of	ADP
ejpam-1099	38	12	science	science	NOUN
ejpam-1099	38	13	,	,	PUNCT
ejpam-1099	38	14	such	such	ADJ
ejpam-1099	38	15	as	as	ADP
ejpam-1099	38	16	biology	biology	NOUN
ejpam-1099	38	17	,	,	PUNCT
ejpam-1099	38	18	chemistry	chemistry	NOUN
ejpam-1099	38	19	,	,	PUNCT
ejpam-1099	38	20	astrophysics	astrophysic	NOUN
ejpam-1099	38	21	,	,	PUNCT
ejpam-1099	38	22	mechanics	mechanic	NOUN
ejpam-1099	38	23	,	,	PUNCT
ejpam-1099	38	24	electronics	electronic	NOUN
ejpam-1099	38	25	,	,	PUNCT
ejpam-1099	38	26	fluid	fluid	ADJ
ejpam-1099	38	27	mechanics	mechanic	NOUN
ejpam-1099	38	28	.	.	PUNCT
ejpam-1099	39	1	one	one	NUM
ejpam-1099	39	2	of	of	ADP
ejpam-1099	39	3	the	the	DET
ejpam-1099	39	4	most	most	ADV
ejpam-1099	39	5	difficult	difficult	ADJ
ejpam-1099	39	6	problems	problem	NOUN
ejpam-1099	39	7	connected	connect	VERB
ejpam-1099	39	8	with	with	ADP
ejpam-1099	39	9	the	the	DET
ejpam-1099	39	10	study	study	NOUN
ejpam-1099	39	11	of	of	ADP
ejpam-1099	39	12	system	system	NOUN
ejpam-1099	39	13	(	(	PUNCT
ejpam-1099	39	14	4	4	NUM
ejpam-1099	39	15	)	)	PUNCT
ejpam-1099	39	16	is	be	AUX
ejpam-1099	39	17	the	the	DET
ejpam-1099	39	18	question	question	NOUN
ejpam-1099	39	19	of	of	ADP
ejpam-1099	39	20	the	the	DET
ejpam-1099	39	21	number	number	NOUN
ejpam-1099	39	22	of	of	ADP
ejpam-1099	39	23	limit	limit	NOUN
ejpam-1099	39	24	cycles	cycle	NOUN
ejpam-1099	39	25	.	.	PUNCT
ejpam-1099	40	1	a	a	DET
ejpam-1099	40	2	limit	limit	NOUN
ejpam-1099	40	3	cycle	cycle	NOUN
ejpam-1099	40	4	is	be	AUX
ejpam-1099	40	5	an	an	DET
ejpam-1099	40	6	isolated	isolated	ADJ
ejpam-1099	40	7	closed	closed	ADJ
ejpam-1099	40	8	trajectory	trajectory	NOUN
ejpam-1099	40	9	.	.	PUNCT
ejpam-1099	41	1	isolated	isolate	VERB
ejpam-1099	41	2	means	mean	VERB
ejpam-1099	41	3	that	that	SCONJ
ejpam-1099	41	4	the	the	DET
ejpam-1099	41	5	neighboring	neighboring	NOUN
ejpam-1099	41	6	trajectories	trajectory	NOUN
ejpam-1099	41	7	are	be	AUX
ejpam-1099	41	8	not	not	PART
ejpam-1099	41	9	closed	closed	ADJ
ejpam-1099	41	10	;	;	PUNCT
ejpam-1099	41	11	they	they	PRON
ejpam-1099	41	12	spiral	spiral	VERB
ejpam-1099	41	13	either	either	CCONJ
ejpam-1099	41	14	toward	toward	ADP
ejpam-1099	41	15	or	or	CCONJ
ejpam-1099	41	16	away	away	ADV
ejpam-1099	41	17	from	from	ADP
ejpam-1099	41	18	the	the	DET
ejpam-1099	41	19	limit	limit	NOUN
ejpam-1099	41	20	cycle	cycle	NOUN
ejpam-1099	41	21	.	.	PUNCT
ejpam-1099	42	1	if	if	SCONJ
ejpam-1099	42	2	all	all	DET
ejpam-1099	42	3	neighboring	neighboring	NOUN
ejpam-1099	42	4	trajectories	trajectory	NOUN
ejpam-1099	42	5	approach	approach	VERB
ejpam-1099	42	6	the	the	DET
ejpam-1099	42	7	limit	limit	NOUN
ejpam-1099	42	8	cycle	cycle	NOUN
ejpam-1099	42	9	,	,	PUNCT
ejpam-1099	42	10	we	we	PRON
ejpam-1099	42	11	say	say	VERB
ejpam-1099	42	12	that	that	SCONJ
ejpam-1099	42	13	the	the	DET
ejpam-1099	42	14	limit	limit	NOUN
ejpam-1099	42	15	cycle	cycle	NOUN
ejpam-1099	42	16	is	be	AUX
ejpam-1099	42	17	stable	stable	ADJ
ejpam-1099	42	18	or	or	CCONJ
ejpam-1099	42	19	attracting	attracting	ADJ
ejpam-1099	42	20	.	.	PUNCT
ejpam-1099	43	1	otherwise	otherwise	ADV
ejpam-1099	43	2	the	the	DET
ejpam-1099	43	3	limit	limit	NOUN
ejpam-1099	43	4	cycle	cycle	NOUN
ejpam-1099	43	5	is	be	AUX
ejpam-1099	43	6	unstable	unstable	ADJ
ejpam-1099	43	7	or	or	CCONJ
ejpam-1099	43	8	,	,	PUNCT
ejpam-1099	43	9	in	in	ADP
ejpam-1099	43	10	exceptional	exceptional	ADJ
ejpam-1099	43	11	cases	case	NOUN
ejpam-1099	43	12	,	,	PUNCT
ejpam-1099	43	13	half	half	ADV
ejpam-1099	43	14	stable	stable	ADJ
ejpam-1099	43	15	.	.	PUNCT
ejpam-1099	44	1	stable	stable	ADJ
ejpam-1099	44	2	limit	limit	NOUN
ejpam-1099	44	3	cycles	cycle	NOUN
ejpam-1099	44	4	are	be	AUX
ejpam-1099	44	5	very	very	ADV
ejpam-1099	44	6	important	important	ADJ
ejpam-1099	44	7	in	in	ADP
ejpam-1099	44	8	science	science	NOUN
ejpam-1099	44	9	.	.	PUNCT
ejpam-1099	45	1	they	they	PRON
ejpam-1099	45	2	model	model	VERB
ejpam-1099	45	3	systems	system	NOUN
ejpam-1099	45	4	that	that	PRON
ejpam-1099	45	5	exhibit	exhibit	VERB
ejpam-1099	45	6	self	self	NOUN
ejpam-1099	45	7	-	-	PUNCT
ejpam-1099	45	8	sustained	sustain	VERB
ejpam-1099	45	9	oscillations	oscillation	NOUN
ejpam-1099	45	10	.	.	PUNCT
ejpam-1099	46	1	for	for	ADP
ejpam-1099	46	2	more	more	ADJ
ejpam-1099	46	3	details	detail	NOUN
ejpam-1099	46	4	we	we	PRON
ejpam-1099	46	5	can	can	AUX
ejpam-1099	46	6	see	see	VERB
ejpam-1099	46	7	[	[	X
ejpam-1099	46	8	5	5	X
ejpam-1099	46	9	]	]	PUNCT
ejpam-1099	46	10	h.	h.	PROPN
ejpam-1099	46	11	zeghdoudi	zeghdoudi	PROPN
ejpam-1099	46	12	,	,	PUNCT
ejpam-1099	46	13	l.	l.	PROPN
ejpam-1099	46	14	bouchahed	bouchahe	VERB
ejpam-1099	46	15	,	,	PUNCT
ejpam-1099	46	16	r.dridi	r.dridi	PROPN
ejpam-1099	46	17	/	/	SYM
ejpam-1099	46	18	eur	eur	PROPN
ejpam-1099	46	19	.	.	PUNCT
ejpam-1099	47	1	j.	j.	PROPN
ejpam-1099	47	2	pure	pure	PROPN
ejpam-1099	47	3	appl	appl	PROPN
ejpam-1099	47	4	.	.	PROPN
ejpam-1099	47	5	math	math	PROPN
ejpam-1099	47	6	,	,	PUNCT
ejpam-1099	47	7	6	6	NUM
ejpam-1099	47	8	(	(	PUNCT
ejpam-1099	47	9	2013	2013	NUM
ejpam-1099	47	10	)	)	PUNCT
ejpam-1099	47	11	,	,	PUNCT
ejpam-1099	47	12	126	126	NUM
ejpam-1099	47	13	-	-	SYM
ejpam-1099	47	14	136	136	NUM
ejpam-1099	47	15	128	128	NUM
ejpam-1099	47	16	in	in	ADP
ejpam-1099	47	17	this	this	DET
ejpam-1099	47	18	paper	paper	NOUN
ejpam-1099	47	19	we	we	PRON
ejpam-1099	47	20	consider	consider	VERB
ejpam-1099	47	21	the	the	DET
ejpam-1099	47	22	transformations	transformation	NOUN
ejpam-1099	47	23	ϕ	ϕ	PROPN
ejpam-1099	47	24	∈	∈	PROPN
ejpam-1099	47	25	diffloc(r2	diffloc(r2	NOUN
ejpam-1099	47	26	)	)	PUNCT
ejpam-1099	47	27	of	of	ADP
ejpam-1099	47	28	the	the	DET
ejpam-1099	47	29	form	form	NOUN
ejpam-1099	47	30	(	(	PUNCT
ejpam-1099	47	31	t	t	PROPN
ejpam-1099	47	32	,	,	PUNCT
ejpam-1099	47	33	x)→	x)→	PROPN
ejpam-1099	47	34	(	(	PUNCT
ejpam-1099	47	35	at	at	ADP
ejpam-1099	47	36	+	+	NOUN
ejpam-1099	47	37	α(x	α(x	NOUN
ejpam-1099	47	38	)	)	PUNCT
ejpam-1099	47	39	,	,	PUNCT
ejpam-1099	47	40	β(x	β(x	NOUN
ejpam-1099	47	41	)	)	PUNCT
ejpam-1099	47	42	)	)	PUNCT
ejpam-1099	47	43	where	where	SCONJ
ejpam-1099	47	44	α	α	NOUN
ejpam-1099	47	45	and	and	CCONJ
ejpam-1099	47	46	β	β	X
ejpam-1099	47	47	are	be	AUX
ejpam-1099	47	48	two	two	NUM
ejpam-1099	47	49	real	real	ADV
ejpam-1099	47	50	-	-	PUNCT
ejpam-1099	47	51	valued	value	VERB
ejpam-1099	47	52	function	function	NOUN
ejpam-1099	47	53	such	such	ADJ
ejpam-1099	47	54	that	that	SCONJ
ejpam-1099	47	55	(	(	PUNCT
ejpam-1099	47	56	ηy	ηy	PROPN
ejpam-1099	47	57	6=	6=	PRON
ejpam-1099	47	58	0	0	NUM
ejpam-1099	47	59	)	)	PUNCT
ejpam-1099	47	60	.	.	PUNCT
ejpam-1099	48	1	we	we	PRON
ejpam-1099	48	2	shall	shall	AUX
ejpam-1099	48	3	see	see	VERB
ejpam-1099	48	4	that	that	SCONJ
ejpam-1099	48	5	such	such	ADJ
ejpam-1099	48	6	transformations	transformation	NOUN
ejpam-1099	48	7	form	form	VERB
ejpam-1099	48	8	a	a	DET
ejpam-1099	48	9	lie	lie	NOUN
ejpam-1099	48	10	pseudogroup	pseudogroup	ADV
ejpam-1099	48	11	and	and	CCONJ
ejpam-1099	48	12	have	have	VERB
ejpam-1099	48	13	the	the	DET
ejpam-1099	48	14	important	important	ADJ
ejpam-1099	48	15	feature	feature	NOUN
ejpam-1099	48	16	of	of	ADP
ejpam-1099	48	17	preserving	preserve	VERB
ejpam-1099	48	18	periodic	periodic	ADJ
ejpam-1099	48	19	solutions	solution	NOUN
ejpam-1099	48	20	.	.	PUNCT
ejpam-1099	49	1	strongly	strongly	ADV
ejpam-1099	49	2	aided	aid	VERB
ejpam-1099	49	3	by	by	ADP
ejpam-1099	49	4	the	the	DET
ejpam-1099	49	5	computer	computer	NOUN
ejpam-1099	49	6	algebraic	algebraic	PROPN
ejpam-1099	49	7	package	package	NOUN
ejpam-1099	49	8	diffalg	diffalg	NOUN
ejpam-1099	49	9	,	,	PUNCT
ejpam-1099	49	10	written	write	VERB
ejpam-1099	49	11	by	by	ADP
ejpam-1099	49	12	françois	françois	PROPN
ejpam-1099	49	13	boulier	boulier	NOUN
ejpam-1099	50	1	[	[	X
ejpam-1099	50	2	3	3	NUM
ejpam-1099	50	3	]	]	PUNCT
ejpam-1099	50	4	,	,	PUNCT
ejpam-1099	50	5	we	we	PRON
ejpam-1099	50	6	give	give	VERB
ejpam-1099	50	7	a	a	DET
ejpam-1099	50	8	complete	complete	ADJ
ejpam-1099	50	9	symmetry	symmetry	NOUN
ejpam-1099	50	10	classification	classification	NOUN
ejpam-1099	50	11	of	of	ADP
ejpam-1099	50	12	the	the	DET
ejpam-1099	50	13	liénard	liénard	NOUN
ejpam-1099	50	14	.	.	PUNCT
ejpam-1099	51	1	we	we	PRON
ejpam-1099	51	2	shall	shall	AUX
ejpam-1099	51	3	see	see	VERB
ejpam-1099	51	4	how	how	SCONJ
ejpam-1099	51	5	rosenfeld	rosenfeld	NOUN
ejpam-1099	51	6	-	-	PUNCT
ejpam-1099	51	7	gröbner	gröbner	NOUN
ejpam-1099	51	8	allows	allow	VERB
ejpam-1099	51	9	us	we	PRON
ejpam-1099	51	10	to	to	PART
ejpam-1099	51	11	discuss	discuss	VERB
ejpam-1099	51	12	the	the	DET
ejpam-1099	51	13	structure	structure	NOUN
ejpam-1099	51	14	of	of	ADP
ejpam-1099	51	15	the	the	DET
ejpam-1099	51	16	symmetry	symmetry	NOUN
ejpam-1099	51	17	lie	lie	VERB
ejpam-1099	51	18	algebra	algebra	NOUN
ejpam-1099	51	19	of	of	ADP
ejpam-1099	51	20	the	the	DET
ejpam-1099	51	21	liénard	liénard	PROPN
ejpam-1099	51	22	equation	equation	NOUN
ejpam-1099	51	23	w.r.t	w.r.t	VERB
ejpam-1099	51	24	f	f	PROPN
ejpam-1099	51	25	and	and	CCONJ
ejpam-1099	51	26	g.	g.	PROPN
ejpam-1099	51	27	the	the	DET
ejpam-1099	51	28	paper	paper	NOUN
ejpam-1099	51	29	is	be	AUX
ejpam-1099	51	30	organized	organize	VERB
ejpam-1099	51	31	around	around	ADP
ejpam-1099	51	32	three	three	NUM
ejpam-1099	51	33	sections	section	NOUN
ejpam-1099	51	34	.	.	PUNCT
ejpam-1099	52	1	the	the	DET
ejpam-1099	52	2	second	second	ADJ
ejpam-1099	52	3	section	section	NOUN
ejpam-1099	52	4	gives	give	VERB
ejpam-1099	52	5	a	a	DET
ejpam-1099	52	6	brief	brief	ADJ
ejpam-1099	52	7	description	description	NOUN
ejpam-1099	52	8	of	of	ADP
ejpam-1099	52	9	concept	concept	NOUN
ejpam-1099	52	10	of	of	ADP
ejpam-1099	52	11	symmetry	symmetry	NOUN
ejpam-1099	52	12	.	.	PUNCT
ejpam-1099	53	1	the	the	DET
ejpam-1099	53	2	aim	aim	NOUN
ejpam-1099	53	3	of	of	ADP
ejpam-1099	53	4	the	the	DET
ejpam-1099	53	5	third	third	ADJ
ejpam-1099	53	6	section	section	NOUN
ejpam-1099	53	7	is	be	AUX
ejpam-1099	53	8	to	to	PART
ejpam-1099	53	9	present	present	VERB
ejpam-1099	53	10	the	the	DET
ejpam-1099	53	11	symmetry	symmetry	NOUN
ejpam-1099	53	12	classication	classication	NOUN
ejpam-1099	53	13	of	of	ADP
ejpam-1099	53	14	léinard	léinard	NOUN
ejpam-1099	53	15	equation	equation	NOUN
ejpam-1099	53	16	and	and	CCONJ
ejpam-1099	53	17	somes	some	NOUN
ejpam-1099	53	18	examples	example	NOUN
ejpam-1099	53	19	.	.	PUNCT
ejpam-1099	54	1	2	2	X
ejpam-1099	54	2	.	.	X
ejpam-1099	54	3	concept	concept	NOUN
ejpam-1099	54	4	of	of	ADP
ejpam-1099	54	5	symmetry	symmetry	NOUN
ejpam-1099	54	6	to	to	PART
ejpam-1099	54	7	define	define	VERB
ejpam-1099	54	8	the	the	DET
ejpam-1099	54	9	notion	notion	NOUN
ejpam-1099	54	10	of	of	ADP
ejpam-1099	54	11	symmetry	symmetry	NOUN
ejpam-1099	54	12	in	in	ADP
ejpam-1099	54	13	any	any	DET
ejpam-1099	54	14	general	general	ADJ
ejpam-1099	54	15	information	information	NOUN
ejpam-1099	54	16	we	we	PRON
ejpam-1099	54	17	give	give	VERB
ejpam-1099	54	18	a	a	DET
ejpam-1099	54	19	group	group	NOUN
ejpam-1099	54	20	φ	φ	PROPN
ejpam-1099	54	21	operative	operative	NOUN
ejpam-1099	54	22	on	on	ADP
ejpam-1099	54	23	the	the	DET
ejpam-1099	54	24	set	set	NOUN
ejpam-1099	54	25	e	e	NOUN
ejpam-1099	54	26	now	now	ADV
ejpam-1099	54	27	,	,	PUNCT
ejpam-1099	54	28	in	in	ADP
ejpam-1099	54	29	this	this	DET
ejpam-1099	54	30	context	context	NOUN
ejpam-1099	54	31	the	the	DET
ejpam-1099	54	32	definition	definition	NOUN
ejpam-1099	54	33	of	of	ADP
ejpam-1099	54	34	a	a	DET
ejpam-1099	54	35	symmetry	symmetry	NOUN
ejpam-1099	54	36	is	be	AUX
ejpam-1099	54	37	definition	definition	NOUN
ejpam-1099	54	38	1	1	NUM
ejpam-1099	54	39	.	.	PUNCT
ejpam-1099	55	1	a	a	DET
ejpam-1099	55	2	symmetry	symmetry	NOUN
ejpam-1099	55	3	of	of	ADP
ejpam-1099	55	4	the	the	DET
ejpam-1099	55	5	pfaffian	pfaffian	ADJ
ejpam-1099	55	6	system	system	NOUN
ejpam-1099	55	7	e	e	NOUN
ejpam-1099	55	8	f	f	NOUN
ejpam-1099	55	9	=	=	SYM
ejpam-1099	55	10	(	(	PUNCT
ejpam-1099	55	11	m	m	PROPN
ejpam-1099	55	12	,	,	PUNCT
ejpam-1099	55	13	∆	∆	PROPN
ejpam-1099	55	14	f	f	X
ejpam-1099	55	15	)	)	PUNCT
ejpam-1099	55	16	is	be	AUX
ejpam-1099	55	17	a	a	DET
ejpam-1099	55	18	local	local	ADJ
ejpam-1099	55	19	diffeormorphism	diffeormorphism	NOUN
ejpam-1099	55	20	ϕ	ϕ	PROPN
ejpam-1099	55	21	∈	∈	PROPN
ejpam-1099	55	22	di	di	X
ejpam-1099	55	23	f	f	PROPN
ejpam-1099	55	24	f	f	PROPN
ejpam-1099	55	25	loc(m	loc(m	PROPN
ejpam-1099	55	26	)	)	PUNCT
ejpam-1099	55	27	which	which	PRON
ejpam-1099	55	28	preserves	preserve	VERB
ejpam-1099	55	29	the	the	DET
ejpam-1099	55	30	contact	contact	NOUN
ejpam-1099	55	31	structure	structure	NOUN
ejpam-1099	55	32	of	of	ADP
ejpam-1099	55	33	e	e	PROPN
ejpam-1099	55	34	f	f	PROPN
ejpam-1099	55	35	i.e.	i.e.	X
ejpam-1099	55	36	ϕ∗(∆	ϕ∗(∆	PROPN
ejpam-1099	55	37	f	f	X
ejpam-1099	55	38	)	)	PUNCT
ejpam-1099	56	1	=	=	PUNCT
ejpam-1099	57	1	∆	∆	PROPN
ejpam-1099	57	2	f	f	X
ejpam-1099	57	3	.	.	PUNCT
ejpam-1099	58	1	symmetries	symmetry	NOUN
ejpam-1099	58	2	in	in	ADP
ejpam-1099	58	3	this	this	DET
ejpam-1099	58	4	definition	definition	NOUN
ejpam-1099	58	5	are	be	AUX
ejpam-1099	58	6	internal	internal	ADJ
ejpam-1099	58	7	[	[	X
ejpam-1099	58	8	1	1	NUM
ejpam-1099	58	9	]	]	PUNCT
ejpam-1099	58	10	.	.	PUNCT
ejpam-1099	59	1	the	the	DET
ejpam-1099	59	2	set	set	NOUN
ejpam-1099	59	3	of	of	ADP
ejpam-1099	59	4	all	all	DET
ejpam-1099	59	5	symmetries	symmetry	NOUN
ejpam-1099	59	6	of	of	ADP
ejpam-1099	59	7	a	a	DET
ejpam-1099	59	8	given	give	VERB
ejpam-1099	59	9	pfaffian	pfaffian	ADJ
ejpam-1099	59	10	system	system	NOUN
ejpam-1099	59	11	e	e	NOUN
ejpam-1099	59	12	f	f	PROPN
ejpam-1099	59	13	is	be	AUX
ejpam-1099	59	14	a	a	DET
ejpam-1099	59	15	lie	lie	NOUN
ejpam-1099	59	16	pseudogroup	pseudogroup	ADV
ejpam-1099	59	17	denoted	denote	VERB
ejpam-1099	59	18	by	by	ADP
ejpam-1099	59	19	aut	aut	PROPN
ejpam-1099	59	20	loc(e	loc(e	PROPN
ejpam-1099	59	21	f	f	PROPN
ejpam-1099	59	22	)	)	PUNCT
ejpam-1099	60	1	⊂	⊂	PROPN
ejpam-1099	60	2	di	di	X
ejpam-1099	60	3	f	f	PROPN
ejpam-1099	60	4	f	f	PROPN
ejpam-1099	60	5	loc	loc	PROPN
ejpam-1099	60	6	m	m	PROPN
ejpam-1099	60	7	.	.	PUNCT
ejpam-1099	61	1	since	since	SCONJ
ejpam-1099	61	2	the	the	DET
ejpam-1099	61	3	distribution	distribution	NOUN
ejpam-1099	61	4	∆	∆	X
ejpam-1099	61	5	f	f	PROPN
ejpam-1099	61	6	is	be	AUX
ejpam-1099	61	7	involutive	involutive	ADJ
ejpam-1099	61	8	,	,	PUNCT
ejpam-1099	61	9	aut	aut	X
ejpam-1099	61	10	loc(e	loc(e	PROPN
ejpam-1099	61	11	f	f	PROPN
ejpam-1099	61	12	)	)	PUNCT
ejpam-1099	61	13	is	be	AUX
ejpam-1099	61	14	the	the	DET
ejpam-1099	61	15	symmetry	symmetry	NOUN
ejpam-1099	61	16	pseudogroup	pseudogroup	NOUN
ejpam-1099	61	17	of	of	ADP
ejpam-1099	61	18	a	a	DET
ejpam-1099	61	19	foliation	foliation	NOUN
ejpam-1099	61	20	.	.	PUNCT
ejpam-1099	62	1	such	such	DET
ejpam-1099	62	2	a	a	DET
ejpam-1099	62	3	pseudogroup	pseudogroup	NOUN
ejpam-1099	62	4	is	be	AUX
ejpam-1099	62	5	infinite	infinite	ADJ
ejpam-1099	62	6	dimensional	dimensional	ADJ
ejpam-1099	62	7	.	.	PUNCT
ejpam-1099	63	1	and	and	CCONJ
ejpam-1099	63	2	this	this	PRON
ejpam-1099	63	3	why	why	SCONJ
ejpam-1099	63	4	in	in	ADP
ejpam-1099	63	5	practice	practice	NOUN
ejpam-1099	63	6	(	(	PUNCT
ejpam-1099	63	7	in	in	ADP
ejpam-1099	63	8	order	order	NOUN
ejpam-1099	63	9	to	to	PART
ejpam-1099	63	10	classify	classify	VERB
ejpam-1099	63	11	)	)	PUNCT
ejpam-1099	63	12	,	,	PUNCT
ejpam-1099	63	13	we	we	PRON
ejpam-1099	63	14	restrict	restrict	VERB
ejpam-1099	63	15	ourselves	ourselves	PRON
ejpam-1099	63	16	to	to	ADP
ejpam-1099	63	17	symmetries	symmetry	NOUN
ejpam-1099	63	18	belonging	belong	VERB
ejpam-1099	63	19	to	to	ADP
ejpam-1099	63	20	a	a	DET
ejpam-1099	63	21	certain	certain	ADJ
ejpam-1099	63	22	lie	lie	NOUN
ejpam-1099	63	23	pseudogroup	pseudogroup	PROPN
ejpam-1099	63	24	φ	φ	PROPN
ejpam-1099	63	25	⊂	⊂	PROPN
ejpam-1099	63	26	di	di	PROPN
ejpam-1099	63	27	f	f	PROPN
ejpam-1099	63	28	f	f	PROPN
ejpam-1099	63	29	loc	loc	PROPN
ejpam-1099	63	30	m	m	PROPN
ejpam-1099	63	31	of	of	ADP
ejpam-1099	63	32	local	local	ADJ
ejpam-1099	63	33	diffeomorphisms	diffeomorphism	NOUN
ejpam-1099	63	34	of	of	ADP
ejpam-1099	63	35	interest	interest	NOUN
ejpam-1099	63	36	.	.	PUNCT
ejpam-1099	64	1	let	let	VERB
ejpam-1099	64	2	s	s	PRON
ejpam-1099	64	3	f	f	NOUN
ejpam-1099	64	4	=	=	SYM
ejpam-1099	64	5	aut	aut	PROPN
ejpam-1099	64	6	loc(e	loc(e	PROPN
ejpam-1099	64	7	f	f	PROPN
ejpam-1099	64	8	)	)	PUNCT
ejpam-1099	64	9	∩φ	∩φ	PROPN
ejpam-1099	64	10	denotes	denote	NOUN
ejpam-1099	64	11	the	the	DET
ejpam-1099	64	12	lie	lie	NOUN
ejpam-1099	64	13	pseudogroup	pseudogroup	ADV
ejpam-1099	64	14	of	of	ADP
ejpam-1099	64	15	such	such	ADJ
ejpam-1099	64	16	symmetries	symmetry	NOUN
ejpam-1099	64	17	.	.	PUNCT
ejpam-1099	65	1	its	its	PRON
ejpam-1099	65	2	defining	define	VERB
ejpam-1099	65	3	equations	equation	NOUN
ejpam-1099	65	4	are	be	AUX
ejpam-1099	65	5	given	give	VERB
ejpam-1099	65	6	by	by	ADP
ejpam-1099	65	7	the	the	DET
ejpam-1099	65	8	non	non	ADJ
ejpam-1099	65	9	linear	linear	PROPN
ejpam-1099	65	10	pde	pde	PROPN
ejpam-1099	65	11	’s	’s	PART
ejpam-1099	65	12	system	system	NOUN
ejpam-1099	65	13	ϕ∗(∆	ϕ∗(∆	PROPN
ejpam-1099	65	14	f	f	X
ejpam-1099	65	15	)	)	PUNCT
ejpam-1099	66	1	=	=	PUNCT
ejpam-1099	67	1	∆	∆	PROPN
ejpam-1099	67	2	f	f	X
ejpam-1099	67	3	et	et	PROPN
ejpam-1099	67	4	ϕ	ϕ	PROPN
ejpam-1099	67	5	∈	∈	PROPN
ejpam-1099	67	6	φ	φ	X
ejpam-1099	67	7	(	(	PUNCT
ejpam-1099	67	8	5	5	NUM
ejpam-1099	67	9	)	)	PUNCT
ejpam-1099	67	10	where	where	SCONJ
ejpam-1099	67	11	the	the	DET
ejpam-1099	67	12	second	second	ADJ
ejpam-1099	67	13	constraint	constraint	NOUN
ejpam-1099	67	14	means	mean	VERB
ejpam-1099	67	15	that	that	SCONJ
ejpam-1099	67	16	ϕ	ϕ	PROPN
ejpam-1099	67	17	fulfills	fulfill	VERB
ejpam-1099	67	18	the	the	DET
ejpam-1099	67	19	lie	lie	NOUN
ejpam-1099	67	20	defining	define	VERB
ejpam-1099	67	21	equations	equation	NOUN
ejpam-1099	67	22	of	of	ADP
ejpam-1099	67	23	the	the	DET
ejpam-1099	67	24	lie	lie	NOUN
ejpam-1099	67	25	pseudogroup	pseudogroup	PROPN
ejpam-1099	67	26	φ	φ	PROPN
ejpam-1099	67	27	.	.	PUNCT
ejpam-1099	68	1	the	the	DET
ejpam-1099	68	2	non	non	ADJ
ejpam-1099	68	3	linear	linear	PROPN
ejpam-1099	68	4	pde	pde	NOUN
ejpam-1099	68	5	system	system	NOUN
ejpam-1099	68	6	(	(	PUNCT
ejpam-1099	68	7	5	5	X
ejpam-1099	68	8	)	)	PUNCT
ejpam-1099	68	9	simplifies	simplifie	NOUN
ejpam-1099	68	10	to	to	ADP
ejpam-1099	68	11	a	a	DET
ejpam-1099	68	12	linear	linear	ADJ
ejpam-1099	68	13	system	system	NOUN
ejpam-1099	68	14	if	if	SCONJ
ejpam-1099	68	15	we	we	PRON
ejpam-1099	68	16	switch	switch	VERB
ejpam-1099	68	17	to	to	ADP
ejpam-1099	68	18	the	the	DET
ejpam-1099	68	19	calculation	calculation	NOUN
ejpam-1099	68	20	of	of	ADP
ejpam-1099	68	21	infinitesimal	infinitesimal	ADJ
ejpam-1099	68	22	generators	generator	NOUN
ejpam-1099	68	23	of	of	ADP
ejpam-1099	68	24	the	the	DET
ejpam-1099	68	25	lie	lie	NOUN
ejpam-1099	68	26	pseudogroup	pseudogroup	NOUN
ejpam-1099	68	27	s	s	PART
ejpam-1099	68	28	f	f	NOUN
ejpam-1099	68	29	.	.	PUNCT
ejpam-1099	69	1	now	now	ADV
ejpam-1099	69	2	we	we	PRON
ejpam-1099	69	3	present	present	VERB
ejpam-1099	69	4	briefly	briefly	ADV
ejpam-1099	69	5	this	this	DET
ejpam-1099	69	6	technique	technique	NOUN
ejpam-1099	69	7	due	due	ADP
ejpam-1099	69	8	to	to	ADP
ejpam-1099	69	9	s.	s.	PROPN
ejpam-1099	69	10	lie	lie	PROPN
ejpam-1099	69	11	.	.	PUNCT
ejpam-1099	70	1	a	a	DET
ejpam-1099	70	2	good	good	ADJ
ejpam-1099	70	3	reference	reference	NOUN
ejpam-1099	70	4	is	be	AUX
ejpam-1099	70	5	the	the	DET
ejpam-1099	70	6	book	book	NOUN
ejpam-1099	70	7	[	[	X
ejpam-1099	70	8	7	7	NUM
ejpam-1099	70	9	]	]	PUNCT
ejpam-1099	70	10	but	but	CCONJ
ejpam-1099	70	11	also	also	ADV
ejpam-1099	70	12	[	[	X
ejpam-1099	70	13	5	5	NUM
ejpam-1099	70	14	]	]	PUNCT
ejpam-1099	70	15	and	and	CCONJ
ejpam-1099	70	16	[	[	X
ejpam-1099	70	17	2	2	NUM
ejpam-1099	70	18	]	]	PUNCT
ejpam-1099	70	19	.	.	PUNCT
ejpam-1099	71	1	let	let	VERB
ejpam-1099	71	2	g	g	PRON
ejpam-1099	71	3	be	be	AUX
ejpam-1099	71	4	one	one	NUM
ejpam-1099	71	5	-	-	PUNCT
ejpam-1099	71	6	dimensional	dimensional	ADJ
ejpam-1099	71	7	lie	lie	NOUN
ejpam-1099	71	8	group	group	NOUN
ejpam-1099	71	9	(	(	PUNCT
ejpam-1099	71	10	in	in	ADP
ejpam-1099	71	11	practice	practice	NOUN
ejpam-1099	71	12	g	g	NOUN
ejpam-1099	71	13	is	be	AUX
ejpam-1099	71	14	the	the	DET
ejpam-1099	71	15	additive	additive	ADJ
ejpam-1099	71	16	group	group	NOUN
ejpam-1099	71	17	(	(	PUNCT
ejpam-1099	71	18	r,+	r,+	NUM
ejpam-1099	71	19	)	)	PUNCT
ejpam-1099	71	20	)	)	PUNCT
ejpam-1099	71	21	.	.	PUNCT
ejpam-1099	72	1	recall	recall	VERB
ejpam-1099	72	2	that	that	SCONJ
ejpam-1099	72	3	a	a	DET
ejpam-1099	72	4	one	one	NUM
ejpam-1099	72	5	-	-	PUNCT
ejpam-1099	72	6	parameter	parameter	NOUN
ejpam-1099	72	7	transformations	transformation	NOUN
ejpam-1099	72	8	group	group	NOUN
ejpam-1099	72	9	on	on	ADP
ejpam-1099	72	10	manifold	manifold	ADJ
ejpam-1099	72	11	m	m	VERB
ejpam-1099	72	12	is	be	AUX
ejpam-1099	72	13	a	a	DET
ejpam-1099	72	14	a	a	DET
ejpam-1099	72	15	map	map	NOUN
ejpam-1099	72	16	(	(	PUNCT
ejpam-1099	72	17	ε	ε	PROPN
ejpam-1099	72	18	,	,	PUNCT
ejpam-1099	72	19	p	p	NOUN
ejpam-1099	72	20	)	)	PUNCT
ejpam-1099	72	21	∈	∈	PROPN
ejpam-1099	72	22	g×m	g×m	PROPN
ejpam-1099	72	23	→	→	SYM
ejpam-1099	72	24	ϕε(p	ϕε(p	NUM
ejpam-1099	72	25	)	)	PUNCT
ejpam-1099	73	1	∈	∈	PROPN
ejpam-1099	73	2	m	m	AUX
ejpam-1099	73	3	satisfying	satisfy	VERB
ejpam-1099	73	4	ϕε+τ(p	ϕε+τ(p	NOUN
ejpam-1099	73	5	)	)	PUNCT
ejpam-1099	73	6	=	=	PRON
ejpam-1099	73	7	ϕε	ϕε	PART
ejpam-1099	73	8	◦	◦	VERB
ejpam-1099	73	9	φτ(p	φτ(p	NOUN
ejpam-1099	73	10	)	)	PUNCT
ejpam-1099	73	11	and	and	CCONJ
ejpam-1099	73	12	if	if	SCONJ
ejpam-1099	73	13	e	e	NOUN
ejpam-1099	73	14	is	be	AUX
ejpam-1099	73	15	the	the	DET
ejpam-1099	73	16	identity	identity	NOUN
ejpam-1099	73	17	element	element	NOUN
ejpam-1099	73	18	of	of	ADP
ejpam-1099	73	19	g	g	PROPN
ejpam-1099	73	20	,	,	PUNCT
ejpam-1099	73	21	ϕe	ϕe	PROPN
ejpam-1099	73	22	is	be	AUX
ejpam-1099	73	23	the	the	DET
ejpam-1099	73	24	identity	identity	NOUN
ejpam-1099	73	25	transformation	transformation	NOUN
ejpam-1099	73	26	.	.	PUNCT
ejpam-1099	74	1	each	each	DET
ejpam-1099	74	2	one	one	NUM
ejpam-1099	74	3	-	-	PUNCT
ejpam-1099	74	4	parameter	parameter	NOUN
ejpam-1099	74	5	transformations	transformation	NOUN
ejpam-1099	74	6	group	group	NOUN
ejpam-1099	74	7	ϕε	ϕε	PROPN
ejpam-1099	74	8	induces	induce	VERB
ejpam-1099	74	9	a	a	DET
ejpam-1099	74	10	vector	vector	NOUN
ejpam-1099	74	11	field	field	NOUN
ejpam-1099	74	12	x	x	PUNCT
ejpam-1099	74	13	in	in	ADP
ejpam-1099	74	14	the	the	DET
ejpam-1099	74	15	following	following	ADJ
ejpam-1099	74	16	manner	manner	NOUN
ejpam-1099	74	17	.	.	PUNCT
ejpam-1099	75	1	for	for	ADP
ejpam-1099	75	2	each	each	DET
ejpam-1099	75	3	p	p	PROPN
ejpam-1099	75	4	∈	∈	PROPN
ejpam-1099	75	5	m	m	VERB
ejpam-1099	75	6	,	,	PUNCT
ejpam-1099	75	7	xp	xp	INTJ
ejpam-1099	75	8	is	be	AUX
ejpam-1099	75	9	the	the	DET
ejpam-1099	75	10	tangent	tangent	ADJ
ejpam-1099	75	11	vector	vector	NOUN
ejpam-1099	75	12	of	of	ADP
ejpam-1099	75	13	the	the	DET
ejpam-1099	75	14	curve	curve	NOUN
ejpam-1099	75	15	γ(ε	γ(ε	PROPN
ejpam-1099	75	16	)	)	PUNCT
ejpam-1099	76	1	=	=	PUNCT
ejpam-1099	76	2	ϕε(p	ϕε(p	NUM
ejpam-1099	76	3	)	)	PUNCT
ejpam-1099	76	4	at	at	ADP
ejpam-1099	76	5	h.	h.	PROPN
ejpam-1099	76	6	zeghdoudi	zeghdoudi	PROPN
ejpam-1099	76	7	,	,	PUNCT
ejpam-1099	76	8	l.	l.	PROPN
ejpam-1099	76	9	bouchahed	bouchahe	VERB
ejpam-1099	76	10	,	,	PUNCT
ejpam-1099	76	11	r.dridi	r.dridi	PROPN
ejpam-1099	76	12	/	/	SYM
ejpam-1099	76	13	eur	eur	PROPN
ejpam-1099	76	14	.	.	PUNCT
ejpam-1099	77	1	j.	j.	PROPN
ejpam-1099	77	2	pure	pure	PROPN
ejpam-1099	77	3	appl	appl	PROPN
ejpam-1099	77	4	.	.	PROPN
ejpam-1099	77	5	math	math	PROPN
ejpam-1099	77	6	,	,	PUNCT
ejpam-1099	77	7	6	6	NUM
ejpam-1099	77	8	(	(	PUNCT
ejpam-1099	77	9	2013	2013	NUM
ejpam-1099	77	10	)	)	PUNCT
ejpam-1099	77	11	,	,	PUNCT
ejpam-1099	77	12	126	126	NUM
ejpam-1099	77	13	-	-	SYM
ejpam-1099	77	14	136	136	NUM
ejpam-1099	77	15	129	129	NUM
ejpam-1099	77	16	the	the	DET
ejpam-1099	77	17	point	point	NOUN
ejpam-1099	77	18	p	p	X
ejpam-1099	77	19	=	=	X
ejpam-1099	77	20	ϕ0(p	ϕ0(p	NOUN
ejpam-1099	77	21	)	)	PUNCT
ejpam-1099	77	22	i.e.	i.e.	X
ejpam-1099	77	23	dϕε(p	dϕε(p	NOUN
ejpam-1099	77	24	)	)	PUNCT
ejpam-1099	77	25	dε	dε	VERB
ejpam-1099	77	26	|ε=0	|ε=0	PROPN
ejpam-1099	77	27	=	=	SYM
ejpam-1099	77	28	xp	xp	PROPN
ejpam-1099	77	29	.	.	PUNCT
ejpam-1099	78	1	the	the	DET
ejpam-1099	78	2	vector	vector	NOUN
ejpam-1099	78	3	field	field	NOUN
ejpam-1099	78	4	x	x	PUNCT
ejpam-1099	78	5	is	be	AUX
ejpam-1099	78	6	called	call	VERB
ejpam-1099	78	7	infinitesimal	infinitesimal	ADJ
ejpam-1099	78	8	generator	generator	NOUN
ejpam-1099	78	9	associated	associate	VERB
ejpam-1099	78	10	to	to	ADP
ejpam-1099	78	11	the	the	DET
ejpam-1099	78	12	one	one	NUM
ejpam-1099	78	13	-	-	PUNCT
ejpam-1099	78	14	parameter	parameter	NOUN
ejpam-1099	78	15	group	group	NOUN
ejpam-1099	78	16	ϕε	ϕε	PROPN
ejpam-1099	78	17	.	.	PUNCT
ejpam-1099	79	1	conversely	conversely	ADV
ejpam-1099	79	2	,	,	PUNCT
ejpam-1099	79	3	to	to	ADP
ejpam-1099	79	4	each	each	DET
ejpam-1099	79	5	vector	vector	NOUN
ejpam-1099	79	6	field	field	NOUN
ejpam-1099	79	7	x	x	PUNCT
ejpam-1099	79	8	we	we	PRON
ejpam-1099	79	9	can	can	AUX
ejpam-1099	79	10	associate	associate	VERB
ejpam-1099	79	11	a	a	DET
ejpam-1099	79	12	“	"	PUNCT
ejpam-1099	79	13	local	local	ADJ
ejpam-1099	79	14	”	"	PUNCT
ejpam-1099	79	15	one	one	NUM
ejpam-1099	79	16	-	-	PUNCT
ejpam-1099	79	17	parameter	parameter	NOUN
ejpam-1099	79	18	transformations	transformation	NOUN
ejpam-1099	79	19	group	group	NOUN
ejpam-1099	79	20	.	.	PUNCT
ejpam-1099	80	1	the	the	DET
ejpam-1099	80	2	diffeomorphism	diffeomorphism	NOUN
ejpam-1099	80	3	m	m	VERB
ejpam-1099	80	4	3	3	NUM
ejpam-1099	80	5	p	p	NOUN
ejpam-1099	80	6	→	→	SYM
ejpam-1099	80	7	ϕε(p	ϕε(p	NUM
ejpam-1099	80	8	)	)	PUNCT
ejpam-1099	81	1	∈	∈	PROPN
ejpam-1099	81	2	m	m	VERB
ejpam-1099	81	3	is	be	AUX
ejpam-1099	81	4	called	call	VERB
ejpam-1099	81	5	the	the	DET
ejpam-1099	81	6	flow	flow	NOUN
ejpam-1099	81	7	or	or	CCONJ
ejpam-1099	81	8	the	the	DET
ejpam-1099	81	9	dynamic	dynamic	NOUN
ejpam-1099	81	10	generated	generate	VERB
ejpam-1099	81	11	by	by	ADP
ejpam-1099	81	12	x	x	X
ejpam-1099	81	13	.	.	PUNCT
ejpam-1099	82	1	[	[	X
ejpam-1099	82	2	if	if	SCONJ
ejpam-1099	82	3	we	we	PRON
ejpam-1099	82	4	can	can	AUX
ejpam-1099	82	5	take	take	VERB
ejpam-1099	82	6	ε	ε	PROPN
ejpam-1099	82	7	=	=	SYM
ejpam-1099	82	8	∞	∞	PROPN
ejpam-1099	82	9	,	,	PUNCT
ejpam-1099	82	10	for	for	ADP
ejpam-1099	82	11	each	each	DET
ejpam-1099	82	12	p	p	NOUN
ejpam-1099	82	13	,	,	PUNCT
ejpam-1099	82	14	x	x	VERB
ejpam-1099	82	15	is	be	AUX
ejpam-1099	82	16	said	say	VERB
ejpam-1099	82	17	to	to	PART
ejpam-1099	82	18	be	be	AUX
ejpam-1099	82	19	complete	complete	ADJ
ejpam-1099	82	20	.	.	PUNCT
ejpam-1099	83	1	if	if	SCONJ
ejpam-1099	83	2	m	m	NOUN
ejpam-1099	83	3	is	be	AUX
ejpam-1099	83	4	compact	compact	ADJ
ejpam-1099	83	5	,	,	PUNCT
ejpam-1099	83	6	every	every	PRON
ejpam-1099	83	7	x	x	NOUN
ejpam-1099	83	8	is	be	AUX
ejpam-1099	83	9	complete	complete	ADJ
ejpam-1099	83	10	]	]	X
ejpam-1099	83	11	.	.	PUNCT
ejpam-1099	84	1	the	the	DET
ejpam-1099	84	2	operator	operator	NOUN
ejpam-1099	84	3	lx	lx	NOUN
ejpam-1099	84	4	:	:	PUNCT
ejpam-1099	84	5	γ	γ	X
ejpam-1099	84	6	�	�	PROPN
ejpam-1099	84	7	⊗r	⊗r	PROPN
ejpam-1099	84	8	t	t	PROPN
ejpam-1099	84	9	m	m	PROPN
ejpam-1099	84	10	⊗s	⊗s	ADJ
ejpam-1099	84	11	t	t	PROPN
ejpam-1099	84	12	∗m	∗m	PROPN
ejpam-1099	84	13	�	�	PROPN
ejpam-1099	84	14	→	→	SYM
ejpam-1099	84	15	γ	γ	X
ejpam-1099	84	16	�	�	PROPN
ejpam-1099	84	17	⊗r	⊗r	PROPN
ejpam-1099	85	1	t	t	PROPN
ejpam-1099	85	2	m	m	PROPN
ejpam-1099	85	3	⊗s	⊗s	ADJ
ejpam-1099	85	4	t	t	PROPN
ejpam-1099	85	5	∗m	∗m	PROPN
ejpam-1099	85	6	�	�	PROPN
ejpam-1099	85	7	defined	define	VERB
ejpam-1099	85	8	by	by	ADP
ejpam-1099	85	9	lx	lx	NOUN
ejpam-1099	85	10	=	=	PROPN
ejpam-1099	85	11	lim	lim	PROPN
ejpam-1099	85	12	ε→0	ε→0	NOUN
ejpam-1099	85	13	ϕ∗ε	ϕ∗ε	PUNCT
ejpam-1099	85	14	−	−	PROPN
ejpam-1099	85	15	i	i	PROPN
ejpam-1099	85	16	d	d	PROPN
ejpam-1099	85	17	ε	ε	PROPN
ejpam-1099	85	18	is	be	AUX
ejpam-1099	85	19	called	call	VERB
ejpam-1099	85	20	the	the	DET
ejpam-1099	85	21	lie	lie	NOUN
ejpam-1099	85	22	derivative	derivative	NOUN
ejpam-1099	85	23	in	in	ADP
ejpam-1099	85	24	the	the	DET
ejpam-1099	85	25	direction	direction	NOUN
ejpam-1099	85	26	x	x	PUNCT
ejpam-1099	86	1	and	and	CCONJ
ejpam-1099	86	2	we	we	PRON
ejpam-1099	86	3	have	have	VERB
ejpam-1099	86	4	ϕ∗ε	ϕ∗ε	PUNCT
ejpam-1099	86	5	=	=	PRON
ejpam-1099	86	6	id+	id+	PROPN
ejpam-1099	86	7	εlx	εlx	PROPN
ejpam-1099	86	8	+	+	NOUN
ejpam-1099	86	9	o(ε2	o(ε2	NOUN
ejpam-1099	86	10	)	)	PUNCT
ejpam-1099	86	11	.	.	PUNCT
ejpam-1099	87	1	(	(	PUNCT
ejpam-1099	87	2	6	6	NUM
ejpam-1099	87	3	)	)	PUNCT
ejpam-1099	87	4	in	in	ADP
ejpam-1099	87	5	particular	particular	ADJ
ejpam-1099	87	6	,	,	PUNCT
ejpam-1099	87	7	if	if	SCONJ
ejpam-1099	87	8	y	y	PROPN
ejpam-1099	87	9	is	be	AUX
ejpam-1099	87	10	a	a	DET
ejpam-1099	87	11	vector	vector	NOUN
ejpam-1099	87	12	field	field	NOUN
ejpam-1099	87	13	(	(	PUNCT
ejpam-1099	87	14	y	y	PROPN
ejpam-1099	87	15	∈	∈	PROPN
ejpam-1099	87	16	γ(t	γ(t	PROPN
ejpam-1099	87	17	m	m	NOUN
ejpam-1099	87	18	)	)	PUNCT
ejpam-1099	87	19	)	)	PUNCT
ejpam-1099	88	1	then	then	ADV
ejpam-1099	88	2	we	we	PRON
ejpam-1099	88	3	have	have	VERB
ejpam-1099	88	4	lx	lx	ADP
ejpam-1099	88	5	(	(	PUNCT
ejpam-1099	88	6	y	y	NOUN
ejpam-1099	88	7	)	)	PUNCT
ejpam-1099	88	8	=	=	PUNCT
ejpam-1099	89	1	[	[	X
ejpam-1099	89	2	x	x	X
ejpam-1099	89	3	,	,	PUNCT
ejpam-1099	89	4	y	y	PROPN
ejpam-1099	89	5	]	]	PUNCT
ejpam-1099	89	6	.	.	PUNCT
ejpam-1099	90	1	let	let	VERB
ejpam-1099	90	2	us	we	PRON
ejpam-1099	90	3	go	go	VERB
ejpam-1099	90	4	back	back	ADV
ejpam-1099	90	5	to	to	ADP
ejpam-1099	90	6	our	our	PRON
ejpam-1099	90	7	symmetries	symmetry	NOUN
ejpam-1099	90	8	:	:	PUNCT
ejpam-1099	90	9	now	now	ADV
ejpam-1099	90	10	we	we	PRON
ejpam-1099	90	11	are	be	AUX
ejpam-1099	90	12	looking	look	VERB
ejpam-1099	90	13	for	for	ADP
ejpam-1099	90	14	local	local	ADJ
ejpam-1099	90	15	one	one	NUM
ejpam-1099	90	16	-	-	PUNCT
ejpam-1099	90	17	parameter	parameter	NOUN
ejpam-1099	90	18	symmetry	symmetry	NOUN
ejpam-1099	90	19	groups	group	NOUN
ejpam-1099	90	20	.	.	PUNCT
ejpam-1099	91	1	we	we	PRON
ejpam-1099	91	2	know	know	VERB
ejpam-1099	91	3	,	,	PUNCT
ejpam-1099	91	4	such	such	ADJ
ejpam-1099	91	5	symmetries	symmetry	NOUN
ejpam-1099	91	6	are	be	AUX
ejpam-1099	91	7	of	of	ADP
ejpam-1099	91	8	the	the	DET
ejpam-1099	91	9	form	form	NOUN
ejpam-1099	91	10	ϕε(p	ϕε(p	PUNCT
ejpam-1099	91	11	)	)	PUNCT
ejpam-1099	92	1	=	=	PRON
ejpam-1099	92	2	p+	p+	VERB
ejpam-1099	92	3	εx	εx	X
ejpam-1099	92	4	(	(	PUNCT
ejpam-1099	92	5	p	p	NOUN
ejpam-1099	92	6	)	)	PUNCT
ejpam-1099	92	7	+	+	NOUN
ejpam-1099	92	8	o(ε2	o(ε2	NOUN
ejpam-1099	92	9	)	)	PUNCT
ejpam-1099	92	10	for	for	ADP
ejpam-1099	92	11	all	all	DET
ejpam-1099	92	12	p	p	NOUN
ejpam-1099	92	13	∈	∈	PROPN
ejpam-1099	92	14	m	m	NOUN
ejpam-1099	92	15	and	and	CCONJ
ejpam-1099	92	16	for	for	ADP
ejpam-1099	92	17	a	a	DET
ejpam-1099	92	18	certain	certain	ADJ
ejpam-1099	92	19	x	x	SYM
ejpam-1099	92	20	∈	∈	PROPN
ejpam-1099	92	21	γ(t	γ(t	NOUN
ejpam-1099	92	22	m	m	VERB
ejpam-1099	92	23	)	)	PUNCT
ejpam-1099	93	1	[	[	X
ejpam-1099	93	2	of	of	ADP
ejpam-1099	93	3	course	course	NOUN
ejpam-1099	93	4	one	one	NUM
ejpam-1099	93	5	needs	need	VERB
ejpam-1099	93	6	to	to	PART
ejpam-1099	93	7	combine	combine	VERB
ejpam-1099	93	8	this	this	PRON
ejpam-1099	93	9	with	with	ADP
ejpam-1099	93	10	the	the	DET
ejpam-1099	93	11	fact	fact	NOUN
ejpam-1099	93	12	that	that	SCONJ
ejpam-1099	93	13	they	they	PRON
ejpam-1099	93	14	also	also	ADV
ejpam-1099	93	15	of	of	ADP
ejpam-1099	93	16	the	the	DET
ejpam-1099	93	17	form	form	NOUN
ejpam-1099	93	18	(	(	PUNCT
ejpam-1099	93	19	t	t	PROPN
ejpam-1099	93	20	,	,	PUNCT
ejpam-1099	93	21	x)→	x)→	PROPN
ejpam-1099	93	22	(	(	PUNCT
ejpam-1099	93	23	at	at	ADP
ejpam-1099	93	24	+	+	NOUN
ejpam-1099	93	25	α(x),β(x	α(x),β(x	NOUN
ejpam-1099	93	26	)	)	PUNCT
ejpam-1099	93	27	)	)	PUNCT
ejpam-1099	93	28	which	which	PRON
ejpam-1099	93	29	is	be	AUX
ejpam-1099	93	30	explained	explain	VERB
ejpam-1099	93	31	in	in	ADP
ejpam-1099	93	32	section	section	NOUN
ejpam-1099	93	33	3	3	NUM
ejpam-1099	93	34	]	]	PUNCT
ejpam-1099	93	35	.	.	PUNCT
ejpam-1099	94	1	applying	apply	VERB
ejpam-1099	94	2	(	(	PUNCT
ejpam-1099	94	3	6	6	NUM
ejpam-1099	94	4	)	)	PUNCT
ejpam-1099	94	5	to	to	ADP
ejpam-1099	94	6	ϕ∗ε(∆	ϕ∗ε(∆	NUM
ejpam-1099	94	7	)	)	PUNCT
ejpam-1099	94	8	=	=	PUNCT
ejpam-1099	94	9	∆	∆	PROPN
ejpam-1099	94	10	,	,	PUNCT
ejpam-1099	94	11	shows	show	VERB
ejpam-1099	94	12	that	that	SCONJ
ejpam-1099	94	13	a	a	DET
ejpam-1099	94	14	transformation	transformation	NOUN
ejpam-1099	94	15	ϕε	ϕε	NOUN
ejpam-1099	94	16	is	be	AUX
ejpam-1099	94	17	a	a	DET
ejpam-1099	94	18	symmetry	symmetry	NOUN
ejpam-1099	94	19	of	of	ADP
ejpam-1099	94	20	the	the	DET
ejpam-1099	94	21	pfaffian	pfaffian	ADJ
ejpam-1099	94	22	system	system	NOUN
ejpam-1099	94	23	e	e	NOUN
ejpam-1099	94	24	f	f	NOUN
ejpam-1099	94	25	=	=	SYM
ejpam-1099	94	26	(	(	PUNCT
ejpam-1099	94	27	m	m	PROPN
ejpam-1099	94	28	,	,	PUNCT
ejpam-1099	94	29	∆	∆	PROPN
ejpam-1099	94	30	f	f	X
ejpam-1099	94	31	)	)	PUNCT
ejpam-1099	95	1	if	if	SCONJ
ejpam-1099	95	2	and	and	CCONJ
ejpam-1099	95	3	only	only	ADV
ejpam-1099	95	4	if	if	SCONJ
ejpam-1099	95	5	lx∆=	lx∆=	PROPN
ejpam-1099	95	6	0	0	NUM
ejpam-1099	95	7	mod	mod	PROPN
ejpam-1099	95	8	∆.	∆.	X
ejpam-1099	95	9	(	(	PUNCT
ejpam-1099	95	10	7	7	X
ejpam-1099	95	11	)	)	PUNCT
ejpam-1099	95	12	the	the	DET
ejpam-1099	95	13	components	component	NOUN
ejpam-1099	95	14	of	of	ADP
ejpam-1099	95	15	the	the	DET
ejpam-1099	95	16	vector	vector	NOUN
ejpam-1099	95	17	field	field	NOUN
ejpam-1099	95	18	x	x	INTJ
ejpam-1099	95	19	(	(	PUNCT
ejpam-1099	95	20	called	call	VERB
ejpam-1099	95	21	the	the	DET
ejpam-1099	95	22	infinitesimals	infinitesimal	NOUN
ejpam-1099	95	23	)	)	PUNCT
ejpam-1099	95	24	are	be	AUX
ejpam-1099	95	25	now	now	ADV
ejpam-1099	95	26	solutions	solution	NOUN
ejpam-1099	95	27	of	of	ADP
ejpam-1099	95	28	a	a	DET
ejpam-1099	95	29	linear	linear	ADJ
ejpam-1099	95	30	pde	pde	NOUN
ejpam-1099	95	31	’s	’s	PART
ejpam-1099	95	32	system	system	NOUN
ejpam-1099	95	33	.	.	PUNCT
ejpam-1099	96	1	the	the	DET
ejpam-1099	96	2	fluxes	flux	NOUN
ejpam-1099	96	3	(	(	PUNCT
ejpam-1099	96	4	the	the	DET
ejpam-1099	96	5	ϕε	ϕε	NOUN
ejpam-1099	96	6	)	)	PUNCT
ejpam-1099	96	7	are	be	AUX
ejpam-1099	96	8	recovered	recover	VERB
ejpam-1099	96	9	by	by	ADP
ejpam-1099	96	10	solving	solve	VERB
ejpam-1099	96	11	the	the	DET
ejpam-1099	96	12	system	system	NOUN
ejpam-1099	96	13	of	of	ADP
ejpam-1099	96	14	ordinary	ordinary	ADJ
ejpam-1099	96	15	differential	differential	ADJ
ejpam-1099	96	16	equations	equation	NOUN
ejpam-1099	96	17	dϕε(p	dϕε(p	X
ejpam-1099	96	18	)	)	PUNCT
ejpam-1099	96	19	dε	dε	VERB
ejpam-1099	96	20	|ε=0	|ε=0	PROPN
ejpam-1099	96	21	=	=	SYM
ejpam-1099	96	22	xp	xp	ADV
ejpam-1099	96	23	with	with	ADP
ejpam-1099	96	24	the	the	DET
ejpam-1099	96	25	initial	initial	ADJ
ejpam-1099	96	26	condition	condition	NOUN
ejpam-1099	96	27	p	p	X
ejpam-1099	96	28	=	=	PUNCT
ejpam-1099	96	29	ϕ0(p	ϕ0(p	NOUN
ejpam-1099	96	30	)	)	PUNCT
ejpam-1099	96	31	.	.	PUNCT
ejpam-1099	97	1	example	example	NOUN
ejpam-1099	98	1	1	1	NUM
ejpam-1099	98	2	.	.	PUNCT
ejpam-1099	98	3	let	let	AUX
ejpam-1099	98	4	be	be	AUX
ejpam-1099	98	5	m	m	NOUN
ejpam-1099	98	6	variety	variety	NOUN
ejpam-1099	98	7	of	of	ADP
ejpam-1099	98	8	local	local	ADJ
ejpam-1099	98	9	co	co	NOUN
ejpam-1099	98	10	-	-	NOUN
ejpam-1099	98	11	ordinates	ordinate	NOUN
ejpam-1099	98	12	(	(	PUNCT
ejpam-1099	98	13	x	x	X
ejpam-1099	98	14	,	,	PUNCT
ejpam-1099	98	15	y1	y1	PROPN
ejpam-1099	98	16	,	,	PUNCT
ejpam-1099	98	17	.	.	PUNCT
ejpam-1099	98	18	.	.	PUNCT
ejpam-1099	99	1	.	.	PUNCT
ejpam-1099	100	1	,	,	PUNCT
ejpam-1099	100	2	yn	yn	PROPN
ejpam-1099	100	3	)	)	PUNCT
ejpam-1099	100	4	.	.	PUNCT
ejpam-1099	101	1	any	any	DET
ejpam-1099	101	2	multi	multi	NOUN
ejpam-1099	101	3	-	-	ADJ
ejpam-1099	101	4	sheet	sheet	NOUN
ejpam-1099	101	5	on	on	ADP
ejpam-1099	101	6	m	m	PRON
ejpam-1099	101	7	,	,	PUNCT
ejpam-1099	101	8	of	of	ADP
ejpam-1099	101	9	codimension	codimension	NOUN
ejpam-1099	101	10	n	n	CCONJ
ejpam-1099	101	11	,	,	PUNCT
ejpam-1099	101	12	is	be	AUX
ejpam-1099	101	13	localment	localment	ADJ
ejpam-1099	101	14	redressable	redressable	ADJ
ejpam-1099	101	15	in	in	ADP
ejpam-1099	101	16	(	(	PUNCT
ejpam-1099	101	17	ci	ci	NOUN
ejpam-1099	101	18	being	be	AUX
ejpam-1099	101	19	arbitrary	arbitrary	ADJ
ejpam-1099	101	20	constants	constant	NOUN
ejpam-1099	101	21	)	)	PUNCT
ejpam-1099	101	22	y1	y1	NOUN
ejpam-1099	101	23	=	=	PROPN
ejpam-1099	101	24	c1	c1	PROPN
ejpam-1099	101	25	,	,	PUNCT
ejpam-1099	101	26	.	.	PUNCT
ejpam-1099	101	27	.	.	PUNCT
ejpam-1099	102	1	.	.	PUNCT
ejpam-1099	103	1	,	,	PUNCT
ejpam-1099	103	2	yn	yn	X
ejpam-1099	103	3	=	=	PUNCT
ejpam-1099	103	4	cn	cn	PROPN
ejpam-1099	103	5	fiber_preserving	fiber_preserve	VERB
ejpam-1099	103	6	transformation	transformation	NOUN
ejpam-1099	103	7	ϕ	ϕ	PROPN
ejpam-1099	103	8	∈	∈	PROPN
ejpam-1099	103	9	di	di	X
ejpam-1099	103	10	f	f	PROPN
ejpam-1099	103	11	f	f	PROPN
ejpam-1099	103	12	loc	loc	PROPN
ejpam-1099	103	13	m	m	PROPN
ejpam-1099	103	14	(	(	PUNCT
ejpam-1099	103	15	x	x	PROPN
ejpam-1099	103	16	,	,	PUNCT
ejpam-1099	103	17	y1	y1	PROPN
ejpam-1099	103	18	,	,	PUNCT
ejpam-1099	103	19	.	.	PUNCT
ejpam-1099	103	20	.	.	PUNCT
ejpam-1099	104	1	.	.	PUNCT
ejpam-1099	105	1	,	,	PUNCT
ejpam-1099	105	2	yn)→	yn)→	PROPN
ejpam-1099	105	3	(	(	PUNCT
ejpam-1099	105	4	ϕ0(x	ϕ0(x	PROPN
ejpam-1099	105	5	,	,	PUNCT
ejpam-1099	105	6	y1	y1	PROPN
ejpam-1099	105	7	,	,	PUNCT
ejpam-1099	105	8	.	.	PUNCT
ejpam-1099	105	9	.	.	PUNCT
ejpam-1099	106	1	.	.	PUNCT
ejpam-1099	107	1	,	,	PUNCT
ejpam-1099	107	2	yn),ϕ1(x	yn),ϕ1(x	NOUN
ejpam-1099	107	3	,	,	PUNCT
ejpam-1099	107	4	y1	y1	PROPN
ejpam-1099	107	5	,	,	PUNCT
ejpam-1099	107	6	.	.	PUNCT
ejpam-1099	107	7	.	.	PUNCT
ejpam-1099	108	1	.	.	PUNCT
ejpam-1099	109	1	,	,	PUNCT
ejpam-1099	109	2	yn	yn	PROPN
ejpam-1099	109	3	)	)	PUNCT
ejpam-1099	109	4	,	,	PUNCT
ejpam-1099	109	5	.	.	PUNCT
ejpam-1099	109	6	.	.	PUNCT
ejpam-1099	110	1	.	.	PUNCT
ejpam-1099	111	1	,	,	PUNCT
ejpam-1099	111	2	ϕn(x	ϕn(x	X
ejpam-1099	111	3	,	,	PUNCT
ejpam-1099	111	4	y1	y1	INTJ
ejpam-1099	111	5	,	,	PUNCT
ejpam-1099	111	6	.	.	PUNCT
ejpam-1099	111	7	.	.	PUNCT
ejpam-1099	111	8	.	.	PUNCT
ejpam-1099	112	1	,	,	PUNCT
ejpam-1099	112	2	yn	yn	PROPN
ejpam-1099	112	3	)	)	PUNCT
ejpam-1099	112	4	)	)	PUNCT
ejpam-1099	112	5	,	,	PUNCT
ejpam-1099	113	1	where	where	SCONJ
ejpam-1099	113	2	ϕiare	ϕiare	NOUN
ejpam-1099	113	3	arbitrary	arbitrary	ADJ
ejpam-1099	113	4	functions	function	NOUN
ejpam-1099	113	5	.	.	PUNCT
ejpam-1099	114	1	remark	remark	NOUN
ejpam-1099	114	2	1	1	NUM
ejpam-1099	114	3	(	(	PUNCT
ejpam-1099	114	4	lie	lie	VERB
ejpam-1099	114	5	’s	’s	PART
ejpam-1099	114	6	classical	classical	ADJ
ejpam-1099	114	7	method	method	NOUN
ejpam-1099	114	8	)	)	PUNCT
ejpam-1099	114	9	.	.	PUNCT
ejpam-1099	115	1	a	a	DET
ejpam-1099	115	2	symmetry	symmetry	NOUN
ejpam-1099	115	3	of	of	ADP
ejpam-1099	115	4	a	a	DET
ejpam-1099	115	5	differential	differential	ADJ
ejpam-1099	115	6	equation	equation	NOUN
ejpam-1099	115	7	is	be	AUX
ejpam-1099	115	8	a	a	DET
ejpam-1099	115	9	transformation	transformation	NOUN
ejpam-1099	115	10	mapping	mapping	NOUN
ejpam-1099	115	11	an	an	DET
ejpam-1099	115	12	arbitrary	arbitrary	ADJ
ejpam-1099	115	13	solution	solution	NOUN
ejpam-1099	115	14	to	to	ADP
ejpam-1099	115	15	another	another	DET
ejpam-1099	115	16	solution	solution	NOUN
ejpam-1099	115	17	of	of	ADP
ejpam-1099	115	18	the	the	DET
ejpam-1099	115	19	differential	differential	ADJ
ejpam-1099	115	20	equation	equation	NOUN
ejpam-1099	115	21	.	.	PUNCT
ejpam-1099	116	1	the	the	DET
ejpam-1099	116	2	classical	classical	ADJ
ejpam-1099	116	3	lie	lie	NOUN
ejpam-1099	116	4	groups	group	NOUN
ejpam-1099	116	5	of	of	ADP
ejpam-1099	116	6	point	point	NOUN
ejpam-1099	116	7	invariance	invariance	NOUN
ejpam-1099	116	8	transformations	transformation	NOUN
ejpam-1099	116	9	depend	depend	VERB
ejpam-1099	116	10	on	on	ADP
ejpam-1099	116	11	continuous	continuous	ADJ
ejpam-1099	116	12	parameters	parameter	NOUN
ejpam-1099	116	13	and	and	CCONJ
ejpam-1099	116	14	act	act	VERB
ejpam-1099	116	15	on	on	ADP
ejpam-1099	116	16	the	the	DET
ejpam-1099	116	17	system	system	NOUN
ejpam-1099	116	18	’s	’s	PART
ejpam-1099	116	19	graph	graph	NOUN
ejpam-1099	116	20	space	space	NOUN
ejpam-1099	116	21	that	that	PRON
ejpam-1099	116	22	is	be	AUX
ejpam-1099	116	23	co	co	VERB
ejpam-1099	116	24	-	-	VERB
ejpam-1099	116	25	ordinatised	ordinatise	VERB
ejpam-1099	116	26	by	by	ADP
ejpam-1099	116	27	the	the	DET
ejpam-1099	116	28	independent	independent	ADJ
ejpam-1099	116	29	and	and	CCONJ
ejpam-1099	116	30	dependent	dependent	ADJ
ejpam-1099	116	31	variables	variable	NOUN
ejpam-1099	116	32	.	.	PUNCT
ejpam-1099	117	1	as	as	SCONJ
ejpam-1099	117	2	these	these	DET
ejpam-1099	117	3	symmetries	symmetry	NOUN
ejpam-1099	117	4	can	can	AUX
ejpam-1099	117	5	be	be	AUX
ejpam-1099	117	6	determined	determine	VERB
ejpam-1099	117	7	by	by	ADP
ejpam-1099	117	8	an	an	DET
ejpam-1099	117	9	explicit	explicit	ADJ
ejpam-1099	117	10	computational	computational	ADJ
ejpam-1099	117	11	algorithm	algorithm	NOUN
ejpam-1099	117	12	if	if	SCONJ
ejpam-1099	117	13	a	a	DET
ejpam-1099	117	14	partial	partial	ADJ
ejpam-1099	117	15	differential	differential	NOUN
ejpam-1099	117	16	equation	equation	NOUN
ejpam-1099	117	17	(	(	PUNCT
ejpam-1099	117	18	pde	pde	NOUN
ejpam-1099	117	19	)	)	PUNCT
ejpam-1099	117	20	is	be	AUX
ejpam-1099	117	21	invariant	invariant	ADJ
ejpam-1099	117	22	under	under	ADP
ejpam-1099	117	23	a	a	DET
ejpam-1099	117	24	point	point	NOUN
ejpam-1099	117	25	symmetry	symmetry	NOUN
ejpam-1099	117	26	,	,	PUNCT
ejpam-1099	117	27	one	one	PRON
ejpam-1099	117	28	can	can	AUX
ejpam-1099	117	29	often	often	ADV
ejpam-1099	117	30	find	find	VERB
ejpam-1099	117	31	similarity	similarity	NOUN
ejpam-1099	117	32	solutions	solution	NOUN
ejpam-1099	117	33	or	or	CCONJ
ejpam-1099	117	34	invariant	invariant	ADJ
ejpam-1099	117	35	solutions	solution	NOUN
ejpam-1099	117	36	which	which	PRON
ejpam-1099	117	37	are	be	AUX
ejpam-1099	117	38	invariant	invariant	ADJ
ejpam-1099	117	39	under	under	ADP
ejpam-1099	117	40	some	some	DET
ejpam-1099	117	41	subgroup	subgroup	NOUN
ejpam-1099	117	42	of	of	ADP
ejpam-1099	117	43	the	the	DET
ejpam-1099	117	44	full	full	ADJ
ejpam-1099	117	45	group	group	NOUN
ejpam-1099	117	46	admitted	admit	VERB
ejpam-1099	117	47	by	by	ADP
ejpam-1099	117	48	the	the	DET
ejpam-1099	117	49	pde	pde	NOUN
ejpam-1099	117	50	.	.	PUNCT
ejpam-1099	118	1	these	these	DET
ejpam-1099	118	2	solutions	solution	NOUN
ejpam-1099	118	3	result	result	VERB
ejpam-1099	118	4	from	from	ADP
ejpam-1099	118	5	solving	solve	VERB
ejpam-1099	118	6	a	a	DET
ejpam-1099	118	7	reduced	reduce	VERB
ejpam-1099	118	8	equation	equation	NOUN
ejpam-1099	118	9	in	in	ADP
ejpam-1099	118	10	fewer	few	ADJ
ejpam-1099	118	11	variables	variable	NOUN
ejpam-1099	118	12	.	.	PUNCT
ejpam-1099	119	1	h.	h.	PROPN
ejpam-1099	119	2	zeghdoudi	zeghdoudi	PROPN
ejpam-1099	119	3	,	,	PUNCT
ejpam-1099	119	4	l.	l.	PROPN
ejpam-1099	119	5	bouchahed	bouchahe	VERB
ejpam-1099	119	6	,	,	PUNCT
ejpam-1099	119	7	r.dridi	r.dridi	PROPN
ejpam-1099	119	8	/	/	SYM
ejpam-1099	119	9	eur	eur	PROPN
ejpam-1099	119	10	.	.	PUNCT
ejpam-1099	120	1	j.	j.	PROPN
ejpam-1099	120	2	pure	pure	PROPN
ejpam-1099	120	3	appl	appl	PROPN
ejpam-1099	120	4	.	.	PROPN
ejpam-1099	120	5	math	math	PROPN
ejpam-1099	120	6	,	,	PUNCT
ejpam-1099	120	7	6	6	NUM
ejpam-1099	120	8	(	(	PUNCT
ejpam-1099	120	9	2013	2013	NUM
ejpam-1099	120	10	)	)	PUNCT
ejpam-1099	120	11	,	,	PUNCT
ejpam-1099	120	12	126	126	NUM
ejpam-1099	120	13	-	-	SYM
ejpam-1099	120	14	136	136	NUM
ejpam-1099	120	15	130	130	NUM
ejpam-1099	120	16	3	3	NUM
ejpam-1099	120	17	.	.	PUNCT
ejpam-1099	120	18	symmetry	symmetry	NOUN
ejpam-1099	120	19	classification	classification	NOUN
ejpam-1099	120	20	of	of	ADP
ejpam-1099	120	21	the	the	DET
ejpam-1099	120	22	liénard	liénard	PROPN
ejpam-1099	120	23	equation	equation	NOUN
ejpam-1099	120	24	as	as	SCONJ
ejpam-1099	120	25	announced	announce	VERB
ejpam-1099	120	26	,	,	PUNCT
ejpam-1099	120	27	we	we	PRON
ejpam-1099	120	28	consider	consider	VERB
ejpam-1099	120	29	the	the	DET
ejpam-1099	120	30	pseudogroup	pseudogroup	NOUN
ejpam-1099	120	31	of	of	ADP
ejpam-1099	120	32	transformations	transformation	NOUN
ejpam-1099	120	33	ϕ	ϕ	X
ejpam-1099	120	34	∈	∈	PROPN
ejpam-1099	120	35	di	di	X
ejpam-1099	120	36	f	f	PROPN
ejpam-1099	120	37	f	f	PROPN
ejpam-1099	120	38	loc(r2	loc(r2	PROPN
ejpam-1099	120	39	)	)	PUNCT
ejpam-1099	120	40	of	of	ADP
ejpam-1099	120	41	the	the	DET
ejpam-1099	120	42	form	form	NOUN
ejpam-1099	120	43	(	(	PUNCT
ejpam-1099	120	44	t̄	t̄	NOUN
ejpam-1099	120	45	=	=	PUNCT
ejpam-1099	120	46	at	at	ADP
ejpam-1099	120	47	+	+	NOUN
ejpam-1099	120	48	α(x	α(x	NOUN
ejpam-1099	120	49	)	)	PUNCT
ejpam-1099	120	50	,	,	PUNCT
ejpam-1099	120	51	a	a	PRON
ejpam-1099	120	52	6=	6=	NUM
ejpam-1099	120	53	0	0	NUM
ejpam-1099	120	54	x̄	x̄	NOUN
ejpam-1099	120	55	=	=	PUNCT
ejpam-1099	120	56	β(x	β(x	NOUN
ejpam-1099	120	57	)	)	PUNCT
ejpam-1099	120	58	,	,	PUNCT
ejpam-1099	120	59	βx	βx	X
ejpam-1099	120	60	6=	6=	ADP
ejpam-1099	120	61	0	0	NUM
ejpam-1099	120	62	.	.	PUNCT
ejpam-1099	121	1	(	(	PUNCT
ejpam-1099	121	2	8)	8)	NUM
ejpam-1099	121	3	where	where	SCONJ
ejpam-1099	121	4	a	a	DET
ejpam-1099	121	5	∈	∈	PROPN
ejpam-1099	121	6	r	r	NOUN
ejpam-1099	121	7	is	be	AUX
ejpam-1099	121	8	an	an	DET
ejpam-1099	121	9	arbitrary	arbitrary	ADJ
ejpam-1099	121	10	constant	constant	ADJ
ejpam-1099	121	11	and	and	CCONJ
ejpam-1099	121	12	α	α	NOUN
ejpam-1099	121	13	,	,	PUNCT
ejpam-1099	121	14	β	β	X
ejpam-1099	121	15	are	be	AUX
ejpam-1099	121	16	two	two	NUM
ejpam-1099	121	17	arbitrary	arbitrary	ADJ
ejpam-1099	121	18	functions	function	NOUN
ejpam-1099	121	19	.	.	PUNCT
ejpam-1099	122	1	proposition	proposition	NOUN
ejpam-1099	122	2	1	1	NUM
ejpam-1099	122	3	.	.	PUNCT
ejpam-1099	123	1	any	any	DET
ejpam-1099	123	2	transformation	transformation	NOUN
ejpam-1099	123	3	of	of	ADP
ejpam-1099	123	4	the	the	DET
ejpam-1099	123	5	form	form	NOUN
ejpam-1099	123	6	(	(	PUNCT
ejpam-1099	123	7	8)	8)	NUM
ejpam-1099	123	8	maps	map	VERB
ejpam-1099	123	9	a	a	DET
ejpam-1099	123	10	periodic	periodic	ADJ
ejpam-1099	123	11	function	function	NOUN
ejpam-1099	123	12	x(t	x(t	PROPN
ejpam-1099	123	13	)	)	PUNCT
ejpam-1099	123	14	of	of	ADP
ejpam-1099	123	15	period	period	NOUN
ejpam-1099	123	16	t	t	NOUN
ejpam-1099	123	17	to	to	ADP
ejpam-1099	123	18	another	another	DET
ejpam-1099	123	19	periodic	periodic	ADJ
ejpam-1099	123	20	solution	solution	NOUN
ejpam-1099	123	21	of	of	ADP
ejpam-1099	123	22	period	period	NOUN
ejpam-1099	123	23	equals	equal	VERB
ejpam-1099	123	24	to	to	AUX
ejpam-1099	123	25	at	at	ADP
ejpam-1099	123	26	.	.	PUNCT
ejpam-1099	124	1	proof	proof	NOUN
ejpam-1099	124	2	.	.	PUNCT
ejpam-1099	125	1	see	see	VERB
ejpam-1099	125	2	[	[	X
ejpam-1099	125	3	10	10	NUM
ejpam-1099	125	4	]	]	PUNCT
ejpam-1099	125	5	.	.	PUNCT
ejpam-1099	126	1	3.1	3.1	NUM
ejpam-1099	126	2	.	.	PUNCT
ejpam-1099	126	3	generation	generation	NOUN
ejpam-1099	126	4	of	of	ADP
ejpam-1099	126	5	lie	lie	NOUN
ejpam-1099	126	6	equations	equation	NOUN
ejpam-1099	126	7	let	let	VERB
ejpam-1099	126	8	us	we	PRON
ejpam-1099	126	9	first	first	ADV
ejpam-1099	126	10	determine	determine	VERB
ejpam-1099	126	11	the	the	DET
ejpam-1099	126	12	infinitesimal	infinitesimal	ADJ
ejpam-1099	126	13	generators	generator	NOUN
ejpam-1099	126	14	x	x	PUNCT
ejpam-1099	126	15	with	with	ADP
ejpam-1099	126	16	fluxes	flux	NOUN
ejpam-1099	126	17	of	of	ADP
ejpam-1099	126	18	the	the	DET
ejpam-1099	126	19	form	form	NOUN
ejpam-1099	126	20	(	(	PUNCT
ejpam-1099	126	21	8)	8)	NUM
ejpam-1099	126	22	.	.	PUNCT
ejpam-1099	127	1	let	let	AUX
ejpam-1099	127	2	make	make	VERB
ejpam-1099	127	3	the	the	DET
ejpam-1099	127	4	substitution	substitution	NOUN
ejpam-1099	127	5	t̄	t̄	NOUN
ejpam-1099	127	6	=	=	PUNCT
ejpam-1099	127	7	t	t	PROPN
ejpam-1099	127	8	+	+	CCONJ
ejpam-1099	127	9	εa(x	εa(x	NUM
ejpam-1099	127	10	,	,	PUNCT
ejpam-1099	127	11	t	t	PROPN
ejpam-1099	127	12	)	)	PUNCT
ejpam-1099	128	1	+	+	NOUN
ejpam-1099	128	2	o(ε2	o(ε2	NOUN
ejpam-1099	128	3	)	)	PUNCT
ejpam-1099	128	4	,	,	PUNCT
ejpam-1099	128	5	x̄	x̄	PUNCT
ejpam-1099	129	1	=	=	PUNCT
ejpam-1099	129	2	x	x	X
ejpam-1099	130	1	+	+	CCONJ
ejpam-1099	130	2	εb(x	εb(x	NUM
ejpam-1099	130	3	,	,	PUNCT
ejpam-1099	130	4	t	t	PROPN
ejpam-1099	130	5	)	)	PUNCT
ejpam-1099	130	6	+	+	NOUN
ejpam-1099	130	7	o(ε2	o(ε2	NOUN
ejpam-1099	130	8	)	)	PUNCT
ejpam-1099	130	9	,	,	PUNCT
ejpam-1099	130	10	in	in	ADP
ejpam-1099	130	11	the	the	DET
ejpam-1099	130	12	defining	define	VERB
ejpam-1099	130	13	equations	equation	NOUN
ejpam-1099	130	14	of	of	ADP
ejpam-1099	130	15	the	the	DET
ejpam-1099	130	16	lie	lie	NOUN
ejpam-1099	130	17	pseudogroup	pseudogroup	NOUN
ejpam-1099	130	18	(	(	PUNCT
ejpam-1099	130	19	8)	8)	NUM
ejpam-1099	130	20	:	:	SYM
ejpam-1099	130	21	∂	∂	NUM
ejpam-1099	130	22	2	2	NUM
ejpam-1099	130	23	t̄	t̄	NOUN
ejpam-1099	130	24	∂	∂	NOUN
ejpam-1099	130	25	t2	t2	NOUN
ejpam-1099	130	26	=	=	SYM
ejpam-1099	130	27	0	0	NUM
ejpam-1099	130	28	,	,	PUNCT
ejpam-1099	130	29	∂	∂	NUM
ejpam-1099	130	30	2	2	NUM
ejpam-1099	130	31	t̄	t̄	NOUN
ejpam-1099	130	32	∂	∂	NOUN
ejpam-1099	130	33	x∂	x∂	NOUN
ejpam-1099	130	34	t	t	PROPN
ejpam-1099	130	35	=	=	SYM
ejpam-1099	130	36	0	0	NUM
ejpam-1099	130	37	,	,	PUNCT
ejpam-1099	130	38	∂	∂	NUM
ejpam-1099	130	39	x̄	x̄	NOUN
ejpam-1099	130	40	∂	∂	NOUN
ejpam-1099	130	41	t	t	NOUN
ejpam-1099	130	42	=	=	SYM
ejpam-1099	130	43	0	0	NUM
ejpam-1099	130	44	,	,	PUNCT
ejpam-1099	130	45	∂	∂	NUM
ejpam-1099	130	46	t̄	t̄	PROPN
ejpam-1099	130	47	∂	∂	PROPN
ejpam-1099	130	48	t	t	PROPN
ejpam-1099	130	49	∂	∂	PROPN
ejpam-1099	130	50	x̄	x̄	NOUN
ejpam-1099	130	51	∂	∂	NUM
ejpam-1099	130	52	x	x	PUNCT
ejpam-1099	130	53	6=	6=	ADP
ejpam-1099	130	54	0	0	NUM
ejpam-1099	130	55	.	.	PUNCT
ejpam-1099	131	1	we	we	PRON
ejpam-1099	131	2	obtain	obtain	VERB
ejpam-1099	131	3	∂	∂	NUM
ejpam-1099	131	4	2a(x	2a(x	NUM
ejpam-1099	131	5	,	,	PUNCT
ejpam-1099	131	6	t	t	PROPN
ejpam-1099	131	7	)	)	PUNCT
ejpam-1099	131	8	∂	∂	NOUN
ejpam-1099	131	9	t2	t2	NOUN
ejpam-1099	131	10	=	=	SYM
ejpam-1099	131	11	0	0	NUM
ejpam-1099	131	12	,	,	PUNCT
ejpam-1099	131	13	∂	∂	NUM
ejpam-1099	131	14	2a(x	2a(x	NUM
ejpam-1099	131	15	,	,	PUNCT
ejpam-1099	131	16	t	t	PROPN
ejpam-1099	131	17	)	)	PUNCT
ejpam-1099	131	18	∂	∂	NUM
ejpam-1099	132	1	x∂	x∂	NOUN
ejpam-1099	132	2	t	t	PROPN
ejpam-1099	132	3	=	=	SYM
ejpam-1099	132	4	0	0	NUM
ejpam-1099	132	5	,	,	PUNCT
ejpam-1099	132	6	∂	∂	NOUN
ejpam-1099	132	7	b(x	b(x	NOUN
ejpam-1099	132	8	,	,	PUNCT
ejpam-1099	132	9	t	t	PROPN
ejpam-1099	132	10	)	)	PUNCT
ejpam-1099	132	11	∂	∂	NOUN
ejpam-1099	132	12	t	t	NOUN
ejpam-1099	132	13	=	=	SYM
ejpam-1099	132	14	0	0	X
ejpam-1099	132	15	.	.	PUNCT
ejpam-1099	133	1	this	this	PRON
ejpam-1099	133	2	allows	allow	VERB
ejpam-1099	133	3	one	one	PRON
ejpam-1099	133	4	to	to	PART
ejpam-1099	133	5	deduce	deduce	VERB
ejpam-1099	133	6	that	that	SCONJ
ejpam-1099	133	7	the	the	DET
ejpam-1099	133	8	infinitesimal	infinitesimal	ADJ
ejpam-1099	133	9	generators	generator	NOUN
ejpam-1099	133	10	x	x	PUNCT
ejpam-1099	133	11	must	must	AUX
ejpam-1099	133	12	be	be	AUX
ejpam-1099	133	13	of	of	ADP
ejpam-1099	133	14	the	the	DET
ejpam-1099	133	15	form	form	NOUN
ejpam-1099	133	16	x	x	PUNCT
ejpam-1099	134	1	=	=	PUNCT
ejpam-1099	134	2	(	(	PUNCT
ejpam-1099	134	3	λt	λt	ADP
ejpam-1099	134	4	+	+	ADJ
ejpam-1099	134	5	a(x	a(x	NOUN
ejpam-1099	134	6	)	)	PUNCT
ejpam-1099	134	7	)	)	PUNCT
ejpam-1099	134	8	∂	∂	NUM
ejpam-1099	134	9	∂	∂	NUM
ejpam-1099	134	10	t	t	NOUN
ejpam-1099	134	11	+	+	CCONJ
ejpam-1099	134	12	b(x	b(x	NOUN
ejpam-1099	134	13	)	)	PUNCT
ejpam-1099	134	14	∂	∂	NUM
ejpam-1099	134	15	∂	∂	NOUN
ejpam-1099	134	16	x	x	X
ejpam-1099	134	17	.	.	PUNCT
ejpam-1099	135	1	now	now	ADV
ejpam-1099	135	2	lie	lie	VERB
ejpam-1099	135	3	equations	equation	NOUN
ejpam-1099	135	4	are	be	AUX
ejpam-1099	135	5	obtained	obtain	VERB
ejpam-1099	135	6	by	by	ADP
ejpam-1099	135	7	writing	write	VERB
ejpam-1099	135	8	that	that	SCONJ
ejpam-1099	135	9	the	the	DET
ejpam-1099	135	10	lie	lie	NOUN
ejpam-1099	135	11	derivative	derivative	ADJ
ejpam-1099	136	1	[	[	X
ejpam-1099	136	2	x	x	X
ejpam-1099	136	3	,	,	PUNCT
ejpam-1099	136	4	dt	dt	X
ejpam-1099	136	5	]	]	X
ejpam-1099	136	6	is	be	AUX
ejpam-1099	136	7	zero	zero	NUM
ejpam-1099	136	8	modulo	modulo	NOUN
ejpam-1099	136	9	dt	dt	NOUN
ejpam-1099	136	10	=	=	SYM
ejpam-1099	136	11	∂	∂	NUM
ejpam-1099	136	12	∂	∂	NUM
ejpam-1099	136	13	t	t	NOUN
ejpam-1099	137	1	+	+	CCONJ
ejpam-1099	137	2	p	p	PROPN
ejpam-1099	137	3	∂	∂	NOUN
ejpam-1099	137	4	∂	∂	NOUN
ejpam-1099	137	5	x	x	NOUN
ejpam-1099	138	1	+	+	PUNCT
ejpam-1099	138	2	(	(	PUNCT
ejpam-1099	138	3	f	f	X
ejpam-1099	138	4	(	(	PUNCT
ejpam-1099	138	5	x)p+	x)p+	PROPN
ejpam-1099	138	6	g(x	g(x	NOUN
ejpam-1099	138	7	)	)	PUNCT
ejpam-1099	138	8	)	)	PUNCT
ejpam-1099	138	9	∂	∂	NUM
ejpam-1099	139	1	∂	∂	NUM
ejpam-1099	139	2	p	p	NOUN
ejpam-1099	139	3	where	where	SCONJ
ejpam-1099	139	4	p	p	NOUN
ejpam-1099	139	5	=	=	X
ejpam-1099	139	6	ẋ	ẋ	PROPN
ejpam-1099	139	7	.	.	PUNCT
ejpam-1099	140	1	we	we	PRON
ejpam-1099	140	2	obtain	obtain	VERB
ejpam-1099	140	3	the	the	DET
ejpam-1099	140	4	ode	ode	ADJ
ejpam-1099	140	5	system	system	NOUN
ejpam-1099	140	6			PRON
ejpam-1099	140	7			VERB
ejpam-1099	140	8			PROPN
ejpam-1099	140	9			PROPN
ejpam-1099	140	10			PROPN
ejpam-1099	140	11			NOUN
ejpam-1099	140	12			PROPN
ejpam-1099	140	13			PROPN
ejpam-1099	140	14			PROPN
ejpam-1099	140	15			PROPN
ejpam-1099	140	16			PROPN
ejpam-1099	140	17	bgx	bgx	PROPN
ejpam-1099	141	1	+	+	CCONJ
ejpam-1099	141	2	bx	bx	NOUN
ejpam-1099	141	3	g	g	NOUN
ejpam-1099	141	4	−	−	NOUN
ejpam-1099	141	5	2λg	2λg	NOUN
ejpam-1099	141	6	=	=	SYM
ejpam-1099	141	7	0	0	NUM
ejpam-1099	141	8	,	,	PUNCT
ejpam-1099	141	9	bx	bx	INTJ
ejpam-1099	141	10	,	,	PUNCT
ejpam-1099	141	11	x	x	PROPN
ejpam-1099	142	1	−	−	PROPN
ejpam-1099	142	2	2ax	2ax	ADJ
ejpam-1099	142	3	f	f	X
ejpam-1099	142	4	=	=	SYM
ejpam-1099	142	5	0	0	PROPN
ejpam-1099	142	6	,	,	PUNCT
ejpam-1099	142	7	ax	ax	NOUN
ejpam-1099	142	8	,	,	PUNCT
ejpam-1099	142	9	x	x	PUNCT
ejpam-1099	142	10	=	=	SYM
ejpam-1099	142	11	0	0	NUM
ejpam-1099	142	12	,	,	PUNCT
ejpam-1099	142	13	b	b	X
ejpam-1099	142	14	fx	fx	NOUN
ejpam-1099	142	15	+	+	CCONJ
ejpam-1099	142	16	3ax	3ax	ADJ
ejpam-1099	142	17	g	g	PROPN
ejpam-1099	142	18	+	+	PROPN
ejpam-1099	142	19	λ	λ	X
ejpam-1099	142	20	f	f	NOUN
ejpam-1099	142	21	=	=	SYM
ejpam-1099	142	22	0	0	PROPN
ejpam-1099	142	23	,	,	PUNCT
ejpam-1099	142	24	λx	λx	NOUN
ejpam-1099	142	25	=	=	SYM
ejpam-1099	142	26	0	0	PROPN
ejpam-1099	142	27	.	.	PUNCT
ejpam-1099	143	1	(	(	PUNCT
ejpam-1099	143	2	9	9	X
ejpam-1099	143	3	)	)	PUNCT
ejpam-1099	143	4	the	the	DET
ejpam-1099	143	5	system	system	NOUN
ejpam-1099	143	6	(	(	PUNCT
ejpam-1099	143	7	9	9	NUM
ejpam-1099	143	8	)	)	PUNCT
ejpam-1099	143	9	depends	depend	VERB
ejpam-1099	143	10	on	on	ADP
ejpam-1099	143	11	two	two	NUM
ejpam-1099	143	12	arbitrary	arbitrary	ADJ
ejpam-1099	143	13	functions	function	NOUN
ejpam-1099	143	14	f	f	PROPN
ejpam-1099	143	15	and	and	CCONJ
ejpam-1099	143	16	g	g	PROPN
ejpam-1099	143	17	and	and	CCONJ
ejpam-1099	143	18	linear	linear	PROPN
ejpam-1099	143	19	in	in	ADP
ejpam-1099	143	20	the	the	DET
ejpam-1099	143	21	differential	differential	NOUN
ejpam-1099	143	22	unknowns	unknown	NOUN
ejpam-1099	143	23	a	a	PRON
ejpam-1099	143	24	,	,	PUNCT
ejpam-1099	143	25	b	b	NOUN
ejpam-1099	143	26	and	and	CCONJ
ejpam-1099	143	27	λ	λ	PROPN
ejpam-1099	143	28	.	.	PROPN
ejpam-1099	143	29	theorem	theorem	PROPN
ejpam-1099	143	30	1	1	NUM
ejpam-1099	143	31	.	.	PUNCT
ejpam-1099	144	1	the	the	DET
ejpam-1099	144	2	classification	classification	NOUN
ejpam-1099	144	3	below	below	ADV
ejpam-1099	144	4	is	be	AUX
ejpam-1099	144	5	complete	complete	ADJ
ejpam-1099	144	6	.	.	PUNCT
ejpam-1099	145	1	proof	proof	NOUN
ejpam-1099	145	2	.	.	PUNCT
ejpam-1099	146	1	see	see	VERB
ejpam-1099	146	2	[	[	X
ejpam-1099	146	3	10	10	NUM
ejpam-1099	146	4	]	]	PUNCT
ejpam-1099	146	5	.	.	PUNCT
ejpam-1099	147	1	in	in	ADP
ejpam-1099	147	2	the	the	DET
ejpam-1099	147	3	following	follow	VERB
ejpam-1099	147	4	paragraphs	paragraph	NOUN
ejpam-1099	147	5	,	,	PUNCT
ejpam-1099	147	6	we	we	PRON
ejpam-1099	147	7	give	give	VERB
ejpam-1099	147	8	the	the	DET
ejpam-1099	147	9	characteristic	characteristic	ADJ
ejpam-1099	147	10	representations	representation	NOUN
ejpam-1099	147	11	of	of	ADP
ejpam-1099	147	12	the	the	DET
ejpam-1099	147	13	ideals	ideal	NOUN
ejpam-1099	147	14	p	p	PROPN
ejpam-1099	147	15	ii	ii	PROPN
ejpam-1099	147	16	.	.	PUNCT
ejpam-1099	148	1	h.	h.	PROPN
ejpam-1099	148	2	zeghdoudi	zeghdoudi	PROPN
ejpam-1099	148	3	,	,	PUNCT
ejpam-1099	148	4	l.	l.	PROPN
ejpam-1099	148	5	bouchahed	bouchahe	VERB
ejpam-1099	148	6	,	,	PUNCT
ejpam-1099	148	7	r.dridi	r.dridi	PROPN
ejpam-1099	148	8	/	/	SYM
ejpam-1099	148	9	eur	eur	PROPN
ejpam-1099	148	10	.	.	PUNCT
ejpam-1099	149	1	j.	j.	PROPN
ejpam-1099	149	2	pure	pure	PROPN
ejpam-1099	149	3	appl	appl	PROPN
ejpam-1099	149	4	.	.	PROPN
ejpam-1099	149	5	math	math	PROPN
ejpam-1099	149	6	,	,	PUNCT
ejpam-1099	149	7	6	6	NUM
ejpam-1099	149	8	(	(	PUNCT
ejpam-1099	149	9	2013	2013	NUM
ejpam-1099	149	10	)	)	PUNCT
ejpam-1099	149	11	,	,	PUNCT
ejpam-1099	149	12	126	126	NUM
ejpam-1099	149	13	-	-	SYM
ejpam-1099	149	14	136	136	NUM
ejpam-1099	149	15	131	131	NUM
ejpam-1099	149	16	the	the	DET
ejpam-1099	149	17	generic	generic	ADJ
ejpam-1099	149	18	case	case	NOUN
ejpam-1099	149	19	the	the	DET
ejpam-1099	149	20	first	first	ADJ
ejpam-1099	149	21	characteristic	characteristic	ADJ
ejpam-1099	149	22	set	set	NOUN
ejpam-1099	149	23	is	be	AUX
ejpam-1099	149	24	ax	ax	ADJ
ejpam-1099	149	25	=	=	SYM
ejpam-1099	149	26	0	0	NUM
ejpam-1099	149	27	,	,	PUNCT
ejpam-1099	149	28	b	b	X
ejpam-1099	150	1	=	=	SYM
ejpam-1099	150	2	0,λ=	0,λ=	NOUN
ejpam-1099	150	3	0	0	X
ejpam-1099	150	4	.	.	PUNCT
ejpam-1099	151	1	this	this	PRON
ejpam-1099	151	2	is	be	AUX
ejpam-1099	151	3	the	the	DET
ejpam-1099	151	4	generic	generic	ADJ
ejpam-1099	151	5	case	case	NOUN
ejpam-1099	151	6	,	,	PUNCT
ejpam-1099	151	7	there	there	PRON
ejpam-1099	151	8	is	be	VERB
ejpam-1099	151	9	no	no	DET
ejpam-1099	151	10	constraint	constraint	NOUN
ejpam-1099	151	11	on	on	ADP
ejpam-1099	151	12	the	the	DET
ejpam-1099	151	13	functions	function	NOUN
ejpam-1099	151	14	f	f	PROPN
ejpam-1099	151	15	and	and	CCONJ
ejpam-1099	151	16	g.	g.	VERB
ejpam-1099	151	17	the	the	DET
ejpam-1099	151	18	dimension	dimension	NOUN
ejpam-1099	151	19	of	of	ADP
ejpam-1099	151	20	the	the	DET
ejpam-1099	151	21	corresponding	correspond	VERB
ejpam-1099	151	22	lie	lie	NOUN
ejpam-1099	151	23	algebra	algebra	NOUN
ejpam-1099	151	24	is	be	AUX
ejpam-1099	151	25	equals	equal	VERB
ejpam-1099	151	26	to	to	ADP
ejpam-1099	151	27	the	the	DET
ejpam-1099	151	28	number	number	NOUN
ejpam-1099	151	29	of	of	ADP
ejpam-1099	151	30	points	point	NOUN
ejpam-1099	151	31	under	under	ADP
ejpam-1099	151	32	the	the	DET
ejpam-1099	151	33	three	three	NUM
ejpam-1099	151	34	stairs	stair	NOUN
ejpam-1099	151	35	associated	associate	VERB
ejpam-1099	151	36	to	to	ADP
ejpam-1099	151	37	the	the	DET
ejpam-1099	151	38	unknowns	unknown	NOUN
ejpam-1099	151	39	a	a	DET
ejpam-1099	151	40	,	,	PUNCT
ejpam-1099	151	41	b	b	NOUN
ejpam-1099	151	42	and	and	CCONJ
ejpam-1099	151	43	λ	λ	NOUN
ejpam-1099	151	44	.	.	PROPN
ejpam-1099	151	45	hence	hence	ADV
ejpam-1099	151	46	equals	equal	VERB
ejpam-1099	151	47	to	to	ADP
ejpam-1099	151	48	one	one	NUM
ejpam-1099	151	49	.	.	PUNCT
ejpam-1099	152	1	the	the	DET
ejpam-1099	152	2	integration	integration	NOUN
ejpam-1099	152	3	shows	show	VERB
ejpam-1099	152	4	that	that	SCONJ
ejpam-1099	152	5	the	the	DET
ejpam-1099	152	6	infinitesimal	infinitesimal	ADJ
ejpam-1099	152	7	generator	generator	NOUN
ejpam-1099	152	8	is	be	AUX
ejpam-1099	152	9	x1	x1	PROPN
ejpam-1099	152	10	=	=	SYM
ejpam-1099	152	11	∂	∂	NUM
ejpam-1099	152	12	∂	∂	NUM
ejpam-1099	152	13	t	t	NOUN
ejpam-1099	152	14	and	and	CCONJ
ejpam-1099	152	15	the	the	DET
ejpam-1099	152	16	corresponding	correspond	VERB
ejpam-1099	152	17	fluxes	flux	NOUN
ejpam-1099	152	18	form	form	VERB
ejpam-1099	152	19	the	the	DET
ejpam-1099	152	20	one	one	NUM
ejpam-1099	152	21	-	-	PUNCT
ejpam-1099	152	22	parameter	parameter	NOUN
ejpam-1099	152	23	lie	lie	NOUN
ejpam-1099	152	24	group	group	NOUN
ejpam-1099	152	25	of	of	ADP
ejpam-1099	152	26	temporal	temporal	ADJ
ejpam-1099	152	27	translations	translation	NOUN
ejpam-1099	152	28	.	.	PUNCT
ejpam-1099	153	1	van	van	PROPN
ejpam-1099	153	2	der	der	ADJ
ejpam-1099	153	3	pol	pol	PROPN
ejpam-1099	153	4	equation	equation	NOUN
ejpam-1099	153	5	ẍ	ẍ	PUNCT
ejpam-1099	154	1	−	−	PROPN
ejpam-1099	154	2	ε(1−	ε(1−	PROPN
ejpam-1099	154	3	x2	x2	PROPN
ejpam-1099	154	4	)	)	PUNCT
ejpam-1099	154	5	ẋ	ẋ	PUNCT
ejpam-1099	155	1	+	+	NUM
ejpam-1099	155	2	x	x	SYM
ejpam-1099	155	3	=	=	SYM
ejpam-1099	155	4	0	0	NUM
ejpam-1099	155	5	,	,	PUNCT
ejpam-1099	155	6	belongs	belong	VERB
ejpam-1099	155	7	to	to	ADP
ejpam-1099	155	8	this	this	DET
ejpam-1099	155	9	class	class	NOUN
ejpam-1099	155	10	.	.	PUNCT
ejpam-1099	156	1	case	case	NOUN
ejpam-1099	156	2	ii	ii	PROPN
ejpam-1099	156	3	.	.	PUNCT
ejpam-1099	157	1	it	it	PRON
ejpam-1099	157	2	has	have	VERB
ejpam-1099	157	3	four	four	NUM
ejpam-1099	157	4	subcases	subcase	NOUN
ejpam-1099	157	5	where	where	SCONJ
ejpam-1099	157	6	the	the	DET
ejpam-1099	157	7	number	number	NOUN
ejpam-1099	157	8	of	of	ADP
ejpam-1099	157	9	points	point	NOUN
ejpam-1099	157	10	under	under	ADP
ejpam-1099	157	11	the	the	DET
ejpam-1099	157	12	stairs	stair	NOUN
ejpam-1099	157	13	corresponding	correspond	VERB
ejpam-1099	157	14	to	to	ADP
ejpam-1099	157	15	the	the	DET
ejpam-1099	157	16	unknowns	unknown	NOUN
ejpam-1099	157	17	a	a	DET
ejpam-1099	157	18	,	,	PUNCT
ejpam-1099	157	19	b	b	NOUN
ejpam-1099	157	20	and	and	CCONJ
ejpam-1099	157	21	λ	λ	PROPN
ejpam-1099	157	22	(	(	PUNCT
ejpam-1099	157	23	i.e.	i.e.	X
ejpam-1099	157	24	the	the	DET
ejpam-1099	157	25	dimension	dimension	NOUN
ejpam-1099	157	26	of	of	ADP
ejpam-1099	157	27	the	the	DET
ejpam-1099	157	28	symmetry	symmetry	NOUN
ejpam-1099	157	29	lie	lie	NOUN
ejpam-1099	157	30	algebra	algebra	PROPN
ejpam-1099	157	31	)	)	PUNCT
ejpam-1099	157	32	is	be	AUX
ejpam-1099	157	33	equal	equal	ADJ
ejpam-1099	157	34	to	to	ADP
ejpam-1099	157	35	two	two	NUM
ejpam-1099	157	36	.	.	PUNCT
ejpam-1099	158	1	if	if	SCONJ
ejpam-1099	158	2	x2	x2	PRON
ejpam-1099	158	3	=	=	PRON
ejpam-1099	159	1	(	(	PUNCT
ejpam-1099	159	2	λt	λt	ADP
ejpam-1099	159	3	+	+	ADJ
ejpam-1099	159	4	a(x	a(x	NOUN
ejpam-1099	159	5	)	)	PUNCT
ejpam-1099	159	6	)	)	PUNCT
ejpam-1099	159	7	∂	∂	NUM
ejpam-1099	159	8	∂	∂	NUM
ejpam-1099	159	9	t	t	NOUN
ejpam-1099	159	10	+	+	CCONJ
ejpam-1099	159	11	b(x	b(x	NOUN
ejpam-1099	159	12	)	)	PUNCT
ejpam-1099	159	13	∂	∂	NUM
ejpam-1099	159	14	∂	∂	NOUN
ejpam-1099	159	15	x	x	NOUN
ejpam-1099	159	16	is	be	AUX
ejpam-1099	159	17	another	another	DET
ejpam-1099	159	18	vector	vector	NOUN
ejpam-1099	159	19	field	field	NOUN
ejpam-1099	159	20	(	(	PUNCT
ejpam-1099	159	21	different	different	ADJ
ejpam-1099	159	22	from	from	ADP
ejpam-1099	159	23	x1	x1	PROPN
ejpam-1099	159	24	=	=	SYM
ejpam-1099	159	25	∂	∂	NUM
ejpam-1099	159	26	∂	∂	NUM
ejpam-1099	159	27	t	t	NOUN
ejpam-1099	159	28	)	)	PUNCT
ejpam-1099	160	1	then	then	ADV
ejpam-1099	160	2	[	[	X
ejpam-1099	160	3	x2	x2	X
ejpam-1099	160	4	,	,	PUNCT
ejpam-1099	160	5	x1	x1	PROPN
ejpam-1099	160	6	]	]	X
ejpam-1099	160	7	=	=	PUNCT
ejpam-1099	160	8	λx1	λx1	PROPN
ejpam-1099	160	9	.	.	PUNCT
ejpam-1099	161	1	the	the	DET
ejpam-1099	161	2	symmetry	symmetry	NOUN
ejpam-1099	161	3	lie	lie	NOUN
ejpam-1099	161	4	algebra	algebra	NOUN
ejpam-1099	161	5	is	be	AUX
ejpam-1099	161	6	consequently	consequently	ADV
ejpam-1099	161	7	the	the	DET
ejpam-1099	161	8	affine	affine	NOUN
ejpam-1099	161	9	algebra	algebra	PROPN
ejpam-1099	161	10	a(1,r	a(1,r	PROPN
ejpam-1099	161	11	)	)	PUNCT
ejpam-1099	161	12	if	if	SCONJ
ejpam-1099	161	13	λ	λ	PROPN
ejpam-1099	161	14	6=	6=	PRON
ejpam-1099	161	15	0	0	NUM
ejpam-1099	161	16	or	or	CCONJ
ejpam-1099	161	17	the	the	DET
ejpam-1099	161	18	abelian	abelian	ADJ
ejpam-1099	161	19	algebra	algebra	NOUN
ejpam-1099	161	20	otherwise	otherwise	ADV
ejpam-1099	161	21	.	.	PUNCT
ejpam-1099	162	1	in	in	ADP
ejpam-1099	162	2	both	both	DET
ejpam-1099	162	3	situations	situation	NOUN
ejpam-1099	162	4	,	,	PUNCT
ejpam-1099	162	5	it	it	PRON
ejpam-1099	162	6	solvable	solvable	ADJ
ejpam-1099	162	7	and	and	CCONJ
ejpam-1099	162	8	liénard	liénard	NOUN
ejpam-1099	162	9	equation	equation	NOUN
ejpam-1099	162	10	can	can	AUX
ejpam-1099	162	11	be	be	AUX
ejpam-1099	162	12	reduced	reduce	VERB
ejpam-1099	162	13	to	to	ADP
ejpam-1099	162	14	a	a	DET
ejpam-1099	162	15	quadrature	quadrature	NOUN
ejpam-1099	162	16	[	[	X
ejpam-1099	162	17	6	6	NUM
ejpam-1099	162	18	,	,	PUNCT
ejpam-1099	162	19	2	2	NUM
ejpam-1099	162	20	]	]	PUNCT
ejpam-1099	162	21	.	.	PUNCT
ejpam-1099	163	1	subcase	subcase	PROPN
ejpam-1099	163	2	ii-1	ii-1	NOUN
ejpam-1099	163	3	.	.	PUNCT
ejpam-1099	164	1	3gx	3gx	ADJ
ejpam-1099	164	2	x	x	SYM
ejpam-1099	164	3	+	+	NUM
ejpam-1099	164	4	2	2	NUM
ejpam-1099	164	5	f	f	PROPN
ejpam-1099	164	6	fx	fx	PROPN
ejpam-1099	164	7	6=	6=	ADP
ejpam-1099	164	8	0	0	NUM
ejpam-1099	164	9	and	and	CCONJ
ejpam-1099	164	10	g	g	PROPN
ejpam-1099	164	11	6=	6=	PROPN
ejpam-1099	164	12	0	0	NUM
ejpam-1099	165	1	the	the	DET
ejpam-1099	165	2	first	first	ADJ
ejpam-1099	165	3	of	of	ADP
ejpam-1099	165	4	the	the	DET
ejpam-1099	165	5	four	four	NUM
ejpam-1099	165	6	characteristic	characteristic	ADJ
ejpam-1099	165	7	sets	set	NOUN
ejpam-1099	165	8	is	be	AUX
ejpam-1099	165	9			PROPN
ejpam-1099	165	10			PROPN
ejpam-1099	165	11			PROPN
ejpam-1099	165	12			PROPN
ejpam-1099	165	13			PROPN
ejpam-1099	165	14			PROPN
ejpam-1099	165	15			PROPN
ejpam-1099	165	16			PROPN
ejpam-1099	165	17			NOUN
ejpam-1099	165	18			PROPN
ejpam-1099	165	19			PROPN
ejpam-1099	165	20			PROPN
ejpam-1099	165	21			PROPN
ejpam-1099	165	22			PROPN
ejpam-1099	165	23			PROPN
ejpam-1099	165	24			PROPN
ejpam-1099	165	25			NOUN
ejpam-1099	165	26	λx	λx	PROPN
ejpam-1099	165	27	=	=	SYM
ejpam-1099	165	28	0	0	PROPN
ejpam-1099	165	29	,	,	PUNCT
ejpam-1099	165	30	ax	ax	NOUN
ejpam-1099	165	31	=	=	NOUN
ejpam-1099	165	32	−	−	PROPN
ejpam-1099	165	33	λ	λ	PROPN
ejpam-1099	165	34	(	(	PUNCT
ejpam-1099	165	35	f	f	PROPN
ejpam-1099	165	36	gx	gx	PROPN
ejpam-1099	165	37	x−2	x−2	PROPN
ejpam-1099	165	38	fx	fx	PROPN
ejpam-1099	165	39	gx	gx	PROPN
ejpam-1099	165	40	)	)	PUNCT
ejpam-1099	165	41	g(3gx	g(3gx	NOUN
ejpam-1099	165	42	x+2	x+2	NUM
ejpam-1099	165	43	f	f	PROPN
ejpam-1099	165	44	fx	fx	PROPN
ejpam-1099	165	45	)	)	PUNCT
ejpam-1099	165	46	,	,	PUNCT
ejpam-1099	165	47	b	b	X
ejpam-1099	165	48	=	=	NOUN
ejpam-1099	165	49	−2	−2	X
ejpam-1099	165	50	λ	λ	PROPN
ejpam-1099	165	51	(	(	PUNCT
ejpam-1099	165	52	f	f	PROPN
ejpam-1099	165	53	2	2	NUM
ejpam-1099	165	54	+	+	NOUN
ejpam-1099	165	55	3gx	3gx	ADJ
ejpam-1099	165	56	)	)	PUNCT
ejpam-1099	165	57	3gx	3gx	NOUN
ejpam-1099	165	58	x+2	x+2	PUNCT
ejpam-1099	165	59	f	f	PROPN
ejpam-1099	165	60	fx	fx	PROPN
ejpam-1099	165	61	,	,	PUNCT
ejpam-1099	165	62	gx	gx	PROPN
ejpam-1099	165	63	x	x	PUNCT
ejpam-1099	165	64	x	x	PUNCT
ejpam-1099	165	65	=	=	PUNCT
ejpam-1099	165	66	5gx	5gx	NOUN
ejpam-1099	165	67	x	x	PUNCT
ejpam-1099	166	1	g	g	NOUN
ejpam-1099	166	2	f	f	PROPN
ejpam-1099	166	3	fx+6	fx+6	PROPN
ejpam-1099	166	4	g	g	PROPN
ejpam-1099	166	5	gx	gx	PROPN
ejpam-1099	166	6	x	x	PROPN
ejpam-1099	166	7	2−2	2−2	NUM
ejpam-1099	166	8	g	g	NOUN
ejpam-1099	166	9	fx	fx	NOUN
ejpam-1099	166	10	2	2	NUM
ejpam-1099	166	11	gx−3gx	gx−3gx	NOUN
ejpam-1099	166	12	x	x	SYM
ejpam-1099	166	13	gx	gx	PROPN
ejpam-1099	166	14	2−2	2−2	NUM
ejpam-1099	166	15	f	f	PROPN
ejpam-1099	166	16	fx	fx	PROPN
ejpam-1099	166	17	gx	gx	PROPN
ejpam-1099	166	18	2	2	NUM
ejpam-1099	166	19	g	g	PROPN
ejpam-1099	166	20	(	(	PUNCT
ejpam-1099	166	21	f	f	PROPN
ejpam-1099	166	22	2	2	NUM
ejpam-1099	166	23	+	+	NOUN
ejpam-1099	166	24	3gx	3gx	ADJ
ejpam-1099	166	25	)	)	PUNCT
ejpam-1099	166	26	fx	fx	NOUN
ejpam-1099	166	27	x	x	PUNCT
ejpam-1099	167	1	=	=	PUNCT
ejpam-1099	167	2	9gx	9gx	NOUN
ejpam-1099	167	3	x	x	PUNCT
ejpam-1099	167	4	g	g	PROPN
ejpam-1099	167	5	fx−3gx	fx−3gx	NUM
ejpam-1099	167	6	x	x	SYM
ejpam-1099	167	7	gx	gx	PROPN
ejpam-1099	167	8	f+6	f+6	PROPN
ejpam-1099	167	9	f	f	PROPN
ejpam-1099	167	10	fx	fx	PROPN
ejpam-1099	167	11	2	2	NUM
ejpam-1099	167	12	g−2	g−2	PROPN
ejpam-1099	167	13	f	f	PROPN
ejpam-1099	167	14	2	2	NUM
ejpam-1099	167	15	fx	fx	NOUN
ejpam-1099	167	16	gx	gx	PROPN
ejpam-1099	167	17	2	2	NUM
ejpam-1099	167	18	g	g	NOUN
ejpam-1099	167	19	(	(	PUNCT
ejpam-1099	167	20	f	f	PROPN
ejpam-1099	167	21	2	2	NUM
ejpam-1099	167	22	+	+	NOUN
ejpam-1099	167	23	3gx	3gx	NOUN
ejpam-1099	167	24	)	)	PUNCT
ejpam-1099	167	25	the	the	DET
ejpam-1099	167	26	two	two	NUM
ejpam-1099	167	27	last	last	ADJ
ejpam-1099	167	28	equations	equation	NOUN
ejpam-1099	167	29	(	(	PUNCT
ejpam-1099	167	30	in	in	ADP
ejpam-1099	167	31	addition	addition	NOUN
ejpam-1099	167	32	to	to	ADP
ejpam-1099	167	33	the	the	DET
ejpam-1099	167	34	inequalities	inequality	NOUN
ejpam-1099	167	35	)	)	PUNCT
ejpam-1099	167	36	constrain	constrain	VERB
ejpam-1099	167	37	the	the	DET
ejpam-1099	167	38	function	function	NOUN
ejpam-1099	167	39	f	f	PROPN
ejpam-1099	167	40	and	and	CCONJ
ejpam-1099	167	41	g.	g.	PROPN
ejpam-1099	168	1	they	they	PRON
ejpam-1099	168	2	characterize	characterize	VERB
ejpam-1099	168	3	the	the	DET
ejpam-1099	168	4	differential	differential	ADJ
ejpam-1099	168	5	ideal	ideal	NOUN
ejpam-1099	168	6	p	p	PROPN
ejpam-1099	168	7	i2	i2	PROPN
ejpam-1099	168	8	∩	∩	NOUN
ejpam-1099	168	9	{	{	PUNCT
ejpam-1099	168	10	f	f	X
ejpam-1099	168	11	,	,	PUNCT
ejpam-1099	168	12	g	g	PROPN
ejpam-1099	168	13	}	}	PUNCT
ejpam-1099	168	14	.	.	PUNCT
ejpam-1099	169	1	the	the	DET
ejpam-1099	169	2	other	other	ADJ
ejpam-1099	169	3	equations	equation	NOUN
ejpam-1099	169	4	give	give	VERB
ejpam-1099	169	5	the	the	DET
ejpam-1099	169	6	functions	function	NOUN
ejpam-1099	169	7	a	a	PRON
ejpam-1099	169	8	,	,	PUNCT
ejpam-1099	169	9	b	b	NOUN
ejpam-1099	169	10	and	and	CCONJ
ejpam-1099	169	11	λ	λ	PROPN
ejpam-1099	169	12	.	.	PROPN
ejpam-1099	170	1	in	in	ADP
ejpam-1099	170	2	particular	particular	ADJ
ejpam-1099	170	3	,	,	PUNCT
ejpam-1099	170	4	one	one	PRON
ejpam-1099	170	5	sees	see	VERB
ejpam-1099	170	6	that	that	SCONJ
ejpam-1099	170	7	λ	λ	PROPN
ejpam-1099	170	8	furnishes	furnish	VERB
ejpam-1099	170	9	a	a	DET
ejpam-1099	170	10	non	non	ADJ
ejpam-1099	170	11	zero	zero	NUM
ejpam-1099	170	12	structure	structure	NOUN
ejpam-1099	170	13	constant	constant	ADJ
ejpam-1099	170	14	.	.	PUNCT
ejpam-1099	171	1	this	this	PRON
ejpam-1099	171	2	proves	prove	VERB
ejpam-1099	171	3	:	:	PUNCT
ejpam-1099	171	4	proposition	proposition	NOUN
ejpam-1099	171	5	2	2	NUM
ejpam-1099	171	6	.	.	PUNCT
ejpam-1099	172	1	the	the	DET
ejpam-1099	172	2	symmetry	symmetry	NOUN
ejpam-1099	172	3	lie	lie	VERB
ejpam-1099	172	4	algebra	algebra	NOUN
ejpam-1099	172	5	in	in	ADP
ejpam-1099	172	6	this	this	DET
ejpam-1099	172	7	case	case	NOUN
ejpam-1099	172	8	is	be	AUX
ejpam-1099	172	9	isomorphic	isomorphic	ADJ
ejpam-1099	172	10	to	to	ADP
ejpam-1099	172	11	a(1,r	a(1,r	NUM
ejpam-1099	172	12	)	)	PUNCT
ejpam-1099	172	13	.	.	PUNCT
ejpam-1099	173	1	example	example	NOUN
ejpam-1099	174	1	2	2	X
ejpam-1099	174	2	.	.	X
ejpam-1099	174	3	we	we	PRON
ejpam-1099	174	4	can	can	AUX
ejpam-1099	174	5	consider	consider	VERB
ejpam-1099	174	6	the	the	DET
ejpam-1099	174	7	equation	equation	NOUN
ejpam-1099	174	8	ẍ	ẍ	PUNCT
ejpam-1099	175	1	=	=	PUNCT
ejpam-1099	175	2	x	x	SYM
ejpam-1099	175	3	ẋ+x3	ẋ+x3	PROPN
ejpam-1099	175	4	.	.	PUNCT
ejpam-1099	176	1	the	the	DET
ejpam-1099	176	2	infinitesimal	infinitesimal	ADJ
ejpam-1099	176	3	generators	generator	NOUN
ejpam-1099	176	4	are	be	AUX
ejpam-1099	176	5	x1	x1	PROPN
ejpam-1099	176	6	=	=	SYM
ejpam-1099	176	7	∂	∂	NUM
ejpam-1099	176	8	∂	∂	NUM
ejpam-1099	176	9	t	t	NOUN
ejpam-1099	176	10	,	,	PUNCT
ejpam-1099	176	11	x2	x2	PROPN
ejpam-1099	176	12	=	=	SYM
ejpam-1099	176	13	t	t	PROPN
ejpam-1099	176	14	∂	∂	NUM
ejpam-1099	176	15	∂	∂	NUM
ejpam-1099	176	16	t	t	PROPN
ejpam-1099	176	17	−x	−x	PROPN
ejpam-1099	176	18	∂	∂	NOUN
ejpam-1099	176	19	∂	∂	NOUN
ejpam-1099	176	20	x	x	NOUN
ejpam-1099	176	21	and	and	CCONJ
ejpam-1099	176	22	the	the	DET
ejpam-1099	176	23	fluxes	flux	NOUN
ejpam-1099	176	24	generated	generate	VERB
ejpam-1099	176	25	by	by	ADP
ejpam-1099	176	26	x1	x1	PROPN
ejpam-1099	176	27	and	and	CCONJ
ejpam-1099	176	28	x2	x2	PROPN
ejpam-1099	176	29	form	form	VERB
ejpam-1099	176	30	the	the	DET
ejpam-1099	176	31	two	two	NUM
ejpam-1099	176	32	-	-	PUNCT
ejpam-1099	176	33	dimensional	dimensional	ADJ
ejpam-1099	176	34	lie	lie	NOUN
ejpam-1099	176	35	group	group	NOUN
ejpam-1099	176	36	if	if	SCONJ
ejpam-1099	176	37	special	special	ADJ
ejpam-1099	176	38	affine	affine	NOUN
ejpam-1099	176	39	transformations	transformation	NOUN
ejpam-1099	176	40	(	(	PUNCT
ejpam-1099	176	41	t	t	PROPN
ejpam-1099	176	42	,	,	PUNCT
ejpam-1099	176	43	x)→	x)→	PROPN
ejpam-1099	176	44	(	(	PUNCT
ejpam-1099	176	45	λt	λt	ADP
ejpam-1099	176	46	+	+	NOUN
ejpam-1099	176	47	µ	µ	NOUN
ejpam-1099	176	48	,	,	PUNCT
ejpam-1099	176	49	x	x	SYM
ejpam-1099	176	50	λ	λ	NOUN
ejpam-1099	176	51	)	)	PUNCT
ejpam-1099	176	52	.	.	PUNCT
ejpam-1099	177	1	the	the	DET
ejpam-1099	177	2	jacobian	jacobian	PROPN
ejpam-1099	177	3	�	�	PROPN
ejpam-1099	177	4	λ	λ	PROPN
ejpam-1099	177	5	0	0	NUM
ejpam-1099	177	6	0	0	NUM
ejpam-1099	177	7	1	1	NUM
ejpam-1099	177	8	λ	λ	X
ejpam-1099	177	9	�	�	PROPN
ejpam-1099	177	10	of	of	ADP
ejpam-1099	177	11	such	such	ADJ
ejpam-1099	177	12	transformation	transformation	NOUN
ejpam-1099	177	13	has	have	AUX
ejpam-1099	177	14	determinant	determinant	ADJ
ejpam-1099	177	15	equals	equal	VERB
ejpam-1099	177	16	to	to	ADP
ejpam-1099	177	17	1	1	NUM
ejpam-1099	177	18	.	.	PUNCT
ejpam-1099	178	1	h.	h.	PROPN
ejpam-1099	178	2	zeghdoudi	zeghdoudi	PROPN
ejpam-1099	178	3	,	,	PUNCT
ejpam-1099	178	4	l.	l.	PROPN
ejpam-1099	178	5	bouchahed	bouchahe	VERB
ejpam-1099	178	6	,	,	PUNCT
ejpam-1099	178	7	r.dridi	r.dridi	PROPN
ejpam-1099	178	8	/	/	SYM
ejpam-1099	178	9	eur	eur	PROPN
ejpam-1099	178	10	.	.	PUNCT
ejpam-1099	179	1	j.	j.	PROPN
ejpam-1099	179	2	pure	pure	PROPN
ejpam-1099	179	3	appl	appl	PROPN
ejpam-1099	179	4	.	.	PROPN
ejpam-1099	179	5	math	math	PROPN
ejpam-1099	179	6	,	,	PUNCT
ejpam-1099	179	7	6	6	NUM
ejpam-1099	179	8	(	(	PUNCT
ejpam-1099	179	9	2013	2013	NUM
ejpam-1099	179	10	)	)	PUNCT
ejpam-1099	179	11	,	,	PUNCT
ejpam-1099	179	12	126	126	NUM
ejpam-1099	179	13	-	-	SYM
ejpam-1099	179	14	136	136	NUM
ejpam-1099	179	15	132	132	NUM
ejpam-1099	179	16	subcase	subcase	NOUN
ejpam-1099	179	17	ii.2	ii.2	PROPN
ejpam-1099	179	18	.	.	PUNCT
ejpam-1099	180	1	3gx	3gx	ADJ
ejpam-1099	180	2	x	x	PUNCT
ejpam-1099	181	1	=	=	NOUN
ejpam-1099	181	2	−2	−2	X
ejpam-1099	181	3	f	f	PROPN
ejpam-1099	181	4	fx	fx	NOUN
ejpam-1099	181	5	,	,	PUNCT
ejpam-1099	181	6	fx	fx	NOUN
ejpam-1099	181	7	x	x	SYM
ejpam-1099	181	8	=	=	SYM
ejpam-1099	181	9	0	0	NUM
ejpam-1099	181	10	and	and	CCONJ
ejpam-1099	181	11	g	g	PROPN
ejpam-1099	181	12	6=	6=	PROPN
ejpam-1099	181	13	0	0	NUM
ejpam-1099	182	1	we	we	PRON
ejpam-1099	182	2	have	have	VERB
ejpam-1099	182	3	the	the	DET
ejpam-1099	182	4	characteristic	characteristic	ADJ
ejpam-1099	182	5	set	set	VERB
ejpam-1099	182	6			PROPN
ejpam-1099	182	7			PROPN
ejpam-1099	182	8			PROPN
ejpam-1099	182	9			PROPN
ejpam-1099	182	10			PROPN
ejpam-1099	182	11			NOUN
ejpam-1099	182	12			PROPN
ejpam-1099	182	13			PROPN
ejpam-1099	182	14			PROPN
ejpam-1099	182	15			PROPN
ejpam-1099	182	16			NOUN
ejpam-1099	182	17	λ=	λ=	NOUN
ejpam-1099	182	18	0	0	NUM
ejpam-1099	182	19	,	,	PUNCT
ejpam-1099	182	20	ax	ax	NOUN
ejpam-1099	182	21	=	=	NOUN
ejpam-1099	182	22	−	−	PROPN
ejpam-1099	182	23	b	b	SYM
ejpam-1099	182	24	fx	fx	NOUN
ejpam-1099	182	25	3	3	NUM
ejpam-1099	182	26	g	g	NOUN
ejpam-1099	182	27	,	,	PUNCT
ejpam-1099	182	28	bx	bx	PROPN
ejpam-1099	182	29	=	=	PUNCT
ejpam-1099	182	30	bgx	bgx	PROPN
ejpam-1099	182	31	g	g	PROPN
ejpam-1099	182	32	,	,	PUNCT
ejpam-1099	182	33	fx	fx	NOUN
ejpam-1099	182	34	x	x	SYM
ejpam-1099	182	35	=	=	SYM
ejpam-1099	182	36	0	0	PROPN
ejpam-1099	182	37	,	,	PUNCT
ejpam-1099	182	38	gx	gx	PROPN
ejpam-1099	182	39	x	x	PUNCT
ejpam-1099	183	1	=	=	NOUN
ejpam-1099	183	2	−	−	PROPN
ejpam-1099	183	3	2	2	NUM
ejpam-1099	183	4	3	3	NUM
ejpam-1099	183	5	f	f	PROPN
ejpam-1099	183	6	fx	fx	PROPN
ejpam-1099	183	7	.	.	PUNCT
ejpam-1099	184	1	the	the	DET
ejpam-1099	184	2	first	first	ADJ
ejpam-1099	184	3	equation	equation	NOUN
ejpam-1099	184	4	immediately	immediately	ADV
ejpam-1099	184	5	proves	prove	VERB
ejpam-1099	184	6	proposition	proposition	NOUN
ejpam-1099	184	7	3	3	NUM
ejpam-1099	184	8	.	.	PUNCT
ejpam-1099	185	1	the	the	DET
ejpam-1099	185	2	symmetry	symmetry	NOUN
ejpam-1099	185	3	lie	lie	NOUN
ejpam-1099	185	4	algebra	algebra	NOUN
ejpam-1099	185	5	is	be	AUX
ejpam-1099	185	6	the	the	DET
ejpam-1099	185	7	two	two	NUM
ejpam-1099	185	8	-	-	PUNCT
ejpam-1099	185	9	dimensional	dimensional	ADJ
ejpam-1099	185	10	abelian	abelian	ADJ
ejpam-1099	185	11	algebra	algebra	NOUN
ejpam-1099	185	12	.	.	PUNCT
ejpam-1099	186	1	the	the	DET
ejpam-1099	186	2	integration	integration	NOUN
ejpam-1099	186	3	of	of	ADP
ejpam-1099	186	4	the	the	DET
ejpam-1099	186	5	two	two	NUM
ejpam-1099	186	6	last	last	ADJ
ejpam-1099	186	7	equations	equation	NOUN
ejpam-1099	186	8	,	,	PUNCT
ejpam-1099	186	9	which	which	PRON
ejpam-1099	186	10	characterize	characterize	VERB
ejpam-1099	186	11	p	p	NOUN
ejpam-1099	186	12	i3	i3	NOUN
ejpam-1099	186	13	∩	∩	NOUN
ejpam-1099	186	14	{	{	PUNCT
ejpam-1099	186	15	f	f	X
ejpam-1099	186	16	,	,	PUNCT
ejpam-1099	186	17	g	g	PROPN
ejpam-1099	186	18	}	}	PUNCT
ejpam-1099	186	19	,	,	PUNCT
ejpam-1099	186	20	yields	yield	NOUN
ejpam-1099	186	21	(	(	PUNCT
ejpam-1099	186	22	the	the	DET
ejpam-1099	186	23	ai	ai	NOUN
ejpam-1099	186	24	are	be	AUX
ejpam-1099	186	25	arbitrary	arbitrary	ADJ
ejpam-1099	186	26	constants	constant	NOUN
ejpam-1099	186	27	)	)	PUNCT
ejpam-1099	186	28	(	(	PUNCT
ejpam-1099	186	29	f	f	X
ejpam-1099	186	30	(	(	PUNCT
ejpam-1099	186	31	x	x	NOUN
ejpam-1099	186	32	)	)	PUNCT
ejpam-1099	186	33	=	=	SYM
ejpam-1099	186	34	a1	a1	NOUN
ejpam-1099	186	35	x	x	SYM
ejpam-1099	186	36	+	+	NUM
ejpam-1099	186	37	a2	a2	PROPN
ejpam-1099	186	38	,	,	PUNCT
ejpam-1099	186	39	g(x	g(x	NOUN
ejpam-1099	186	40	)	)	PUNCT
ejpam-1099	186	41	=	=	NOUN
ejpam-1099	186	42	−1	−1	NOUN
ejpam-1099	186	43	9	9	NUM
ejpam-1099	186	44	a2	a2	PROPN
ejpam-1099	186	45	1	1	NUM
ejpam-1099	186	46	x3−	x3−	PROPN
ejpam-1099	186	47	1	1	NUM
ejpam-1099	186	48	3	3	NUM
ejpam-1099	186	49	a1a2	a1a2	NOUN
ejpam-1099	186	50	x2	x2	PROPN
ejpam-1099	186	51	+	+	X
ejpam-1099	186	52	a3	a3	NOUN
ejpam-1099	186	53	x	x	SYM
ejpam-1099	186	54	+	+	NUM
ejpam-1099	186	55	a4	a4	NOUN
ejpam-1099	186	56	.	.	PUNCT
ejpam-1099	187	1	and	and	CCONJ
ejpam-1099	187	2	this	this	PRON
ejpam-1099	187	3	in	in	ADP
ejpam-1099	187	4	turn	turn	NOUN
ejpam-1099	187	5	yields	yield	VERB
ejpam-1099	187	6			PROPN
ejpam-1099	187	7			ADP
ejpam-1099	187	8			NOUN
ejpam-1099	187	9	x1	x1	PROPN
ejpam-1099	187	10	=	=	SYM
ejpam-1099	187	11	∂	∂	NUM
ejpam-1099	187	12	∂	∂	NUM
ejpam-1099	187	13	t	t	NOUN
ejpam-1099	187	14	,	,	PUNCT
ejpam-1099	188	1	x2	x2	PROPN
ejpam-1099	188	2	=	=	NOUN
ejpam-1099	188	3	−x	−x	ADJ
ejpam-1099	188	4	a1	a1	NOUN
ejpam-1099	188	5	3a4	3a4	NUM
ejpam-1099	188	6	∂	∂	NUM
ejpam-1099	188	7	∂	∂	NUM
ejpam-1099	188	8	t	t	NOUN
ejpam-1099	188	9	+	+	CCONJ
ejpam-1099	188	10	�	�	PROPN
ejpam-1099	188	11	1	1	NUM
ejpam-1099	188	12	+	+	CCONJ
ejpam-1099	188	13	x	x	NOUN
ejpam-1099	188	14	a3	a3	NOUN
ejpam-1099	188	15	a4	a4	PROPN
ejpam-1099	188	16	−	−	PROPN
ejpam-1099	189	1	x2	x2	PROPN
ejpam-1099	189	2	a2a1	a2a1	PROPN
ejpam-1099	189	3	3a4	3a4	NUM
ejpam-1099	189	4	−	−	ADP
ejpam-1099	189	5	x3	x3	ADJ
ejpam-1099	189	6	a1	a1	NOUN
ejpam-1099	189	7	2	2	NUM
ejpam-1099	189	8	9a4	9a4	NUM
ejpam-1099	189	9	�	�	PROPN
ejpam-1099	189	10	∂	∂	NUM
ejpam-1099	189	11	∂	∂	NOUN
ejpam-1099	189	12	x	x	X
ejpam-1099	189	13	.	.	PUNCT
ejpam-1099	190	1	subcase	subcase	PROPN
ejpam-1099	190	2	ii.3	ii.3	PROPN
ejpam-1099	190	3	.	.	PUNCT
ejpam-1099	191	1	3gx	3gx	ADJ
ejpam-1099	191	2	x	x	SYM
ejpam-1099	191	3	−	−	PROPN
ejpam-1099	191	4	2g2	2g2	NUM
ejpam-1099	191	5	x	x	SYM
ejpam-1099	191	6	6=	6=	ADP
ejpam-1099	191	7	0	0	NUM
ejpam-1099	191	8	,	,	PUNCT
ejpam-1099	191	9	fx	fx	NOUN
ejpam-1099	191	10	x	x	PUNCT
ejpam-1099	191	11	6=	6=	ADP
ejpam-1099	191	12	0	0	NUM
ejpam-1099	191	13	and	and	CCONJ
ejpam-1099	191	14	g	g	PROPN
ejpam-1099	191	15	6=	6=	PROPN
ejpam-1099	191	16	0	0	NUM
ejpam-1099	191	17	here	here	ADV
ejpam-1099	191	18	the	the	DET
ejpam-1099	191	19	function	function	NOUN
ejpam-1099	191	20	a	a	PRON
ejpam-1099	191	21	,	,	PUNCT
ejpam-1099	191	22	b	b	NOUN
ejpam-1099	191	23	and	and	CCONJ
ejpam-1099	191	24	λ	λ	PROPN
ejpam-1099	191	25	satisfy	satisfy	VERB
ejpam-1099	191	26			ADJ
ejpam-1099	191	27			ADV
ejpam-1099	191	28			DET
ejpam-1099	191	29			ADJ
ejpam-1099	191	30			NOUN
ejpam-1099	191	31	λx	λx	PROPN
ejpam-1099	191	32	=	=	SYM
ejpam-1099	191	33	0	0	PROPN
ejpam-1099	191	34	,	,	PUNCT
ejpam-1099	191	35	ax	ax	NOUN
ejpam-1099	191	36	=	=	SYM
ejpam-1099	191	37	λ(−3	λ(−3	NOUN
ejpam-1099	191	38	g	g	PROPN
ejpam-1099	191	39	f	f	PROPN
ejpam-1099	191	40	fx	fx	PROPN
ejpam-1099	191	41	,	,	PUNCT
ejpam-1099	191	42	x+9	x+9	PROPN
ejpam-1099	191	43	fx	fx	PROPN
ejpam-1099	191	44	2	2	NUM
ejpam-1099	191	45	g+	g+	NOUN
ejpam-1099	191	46	f	f	PROPN
ejpam-1099	191	47	3	3	NUM
ejpam-1099	191	48	fx	fx	PROPN
ejpam-1099	191	49	)	)	PUNCT
ejpam-1099	191	50	9g2	9g2	NUM
ejpam-1099	191	51	fx	fx	NOUN
ejpam-1099	191	52	,	,	PUNCT
ejpam-1099	191	53	x	x	PROPN
ejpam-1099	191	54	,	,	PUNCT
ejpam-1099	191	55	b	b	X
ejpam-1099	192	1	=	=	NOUN
ejpam-1099	192	2	−λ(9	−λ(9	PROPN
ejpam-1099	192	3	g	g	PROPN
ejpam-1099	192	4	fx+	fx+	NOUN
ejpam-1099	192	5	f	f	PROPN
ejpam-1099	192	6	3	3	NUM
ejpam-1099	192	7	)	)	PUNCT
ejpam-1099	192	8	3	3	NUM
ejpam-1099	192	9	g	g	PROPN
ejpam-1099	192	10	fx	fx	NOUN
ejpam-1099	192	11	,	,	PUNCT
ejpam-1099	192	12	x	x	PROPN
ejpam-1099	192	13	.	.	PUNCT
ejpam-1099	193	1	the	the	DET
ejpam-1099	193	2	first	first	ADJ
ejpam-1099	193	3	equation	equation	NOUN
ejpam-1099	193	4	proves	prove	VERB
ejpam-1099	193	5	proposition	proposition	NOUN
ejpam-1099	193	6	4	4	NUM
ejpam-1099	193	7	.	.	PUNCT
ejpam-1099	194	1	the	the	DET
ejpam-1099	194	2	symmetry	symmetry	NOUN
ejpam-1099	194	3	lie	lie	NOUN
ejpam-1099	194	4	algebra	algebra	NOUN
ejpam-1099	194	5	is	be	AUX
ejpam-1099	194	6	isomorphic	isomorphic	ADJ
ejpam-1099	194	7	to	to	ADP
ejpam-1099	194	8	a(1,r	a(1,r	NUM
ejpam-1099	194	9	)	)	PUNCT
ejpam-1099	194	10	.	.	PUNCT
ejpam-1099	195	1	the	the	DET
ejpam-1099	195	2	functions	function	NOUN
ejpam-1099	195	3	f	f	PROPN
ejpam-1099	195	4	and	and	CCONJ
ejpam-1099	195	5	g	g	PROPN
ejpam-1099	195	6	satisfy	satisfy	VERB
ejpam-1099	195	7	the	the	DET
ejpam-1099	195	8	ode	ode	ADJ
ejpam-1099	195	9	system	system	NOUN
ejpam-1099	195	10	(	(	PUNCT
ejpam-1099	195	11	p	p	PROPN
ejpam-1099	195	12	i4	i4	PROPN
ejpam-1099	195	13	∩	∩	NOUN
ejpam-1099	195	14	{	{	PUNCT
ejpam-1099	195	15	f	f	X
ejpam-1099	195	16	,	,	PUNCT
ejpam-1099	195	17	g	g	NOUN
ejpam-1099	195	18	}	}	PUNCT
ejpam-1099	195	19	)	)	PUNCT
ejpam-1099	195	20			PROPN
ejpam-1099	195	21			PROPN
ejpam-1099	195	22			NOUN
ejpam-1099	195	23	f	f	PROPN
ejpam-1099	195	24	2	2	NUM
ejpam-1099	196	1	=	=	NOUN
ejpam-1099	196	2	−3gx	−3gx	NOUN
ejpam-1099	196	3	,	,	PUNCT
ejpam-1099	196	4	gx	gx	PROPN
ejpam-1099	196	5	x	x	PUNCT
ejpam-1099	196	6	x	x	PUNCT
ejpam-1099	196	7	x	x	PUNCT
ejpam-1099	196	8	=	=	NOUN
ejpam-1099	196	9	−	−	PROPN
ejpam-1099	196	10	1	1	NUM
ejpam-1099	196	11	2gx	2gx	NOUN
ejpam-1099	196	12	2	2	NUM
ejpam-1099	196	13	g(3	g(3	PROPN
ejpam-1099	196	14	g	g	PROPN
ejpam-1099	196	15	gx	gx	PROPN
ejpam-1099	196	16	x−2gx	x−2gx	PROPN
ejpam-1099	196	17	2)(2g2	2)(2g2	PROPN
ejpam-1099	196	18	gx	gx	PROPN
ejpam-1099	196	19	x	x	PROPN
ejpam-1099	196	20	4	4	X
ejpam-1099	196	21	+	+	NUM
ejpam-1099	196	22	gx	gx	PROPN
ejpam-1099	196	23	gx	gx	PROPN
ejpam-1099	196	24	x	x	PROPN
ejpam-1099	196	25	2	2	NUM
ejpam-1099	196	26	g2	g2	PROPN
ejpam-1099	196	27	gx	gx	PROPN
ejpam-1099	196	28	x	x	PUNCT
ejpam-1099	196	29	x	x	SYM
ejpam-1099	196	30	−	−	PROPN
ejpam-1099	196	31	10gx	10gx	ADJ
ejpam-1099	196	32	2	2	NUM
ejpam-1099	196	33	g2	g2	PROPN
ejpam-1099	196	34	gx	gx	PROPN
ejpam-1099	196	35	x	x	PUNCT
ejpam-1099	196	36	x	x	SYM
ejpam-1099	196	37	2	2	NUM
ejpam-1099	196	38	−9gx	−9gx	PROPN
ejpam-1099	196	39	2	2	NUM
ejpam-1099	196	40	gx	gx	PROPN
ejpam-1099	196	41	x	x	PROPN
ejpam-1099	196	42	3	3	NUM
ejpam-1099	196	43	g	g	NOUN
ejpam-1099	196	44	+	+	CCONJ
ejpam-1099	196	45	18gx	18gx	ADJ
ejpam-1099	196	46	3	3	NUM
ejpam-1099	196	47	gx	gx	PROPN
ejpam-1099	196	48	x	x	PROPN
ejpam-1099	196	49	g	g	PROPN
ejpam-1099	196	50	gx	gx	PROPN
ejpam-1099	196	51	x	x	PUNCT
ejpam-1099	196	52	x	x	PROPN
ejpam-1099	196	53	+	+	NUM
ejpam-1099	196	54	4gx	4gx	ADJ
ejpam-1099	196	55	4	4	NUM
ejpam-1099	196	56	gx	gx	NOUN
ejpam-1099	196	57	x	x	PROPN
ejpam-1099	196	58	2−	2−	NUM
ejpam-1099	196	59	8gx	8gx	ADJ
ejpam-1099	196	60	x	x	NOUN
ejpam-1099	196	61	x	x	SYM
ejpam-1099	196	62	gx	gx	PROPN
ejpam-1099	196	63	5	5	NUM
ejpam-1099	196	64	)	)	PUNCT
ejpam-1099	196	65	.	.	PUNCT
ejpam-1099	197	1	example	example	NOUN
ejpam-1099	198	1	3	3	NUM
ejpam-1099	198	2	.	.	PUNCT
ejpam-1099	199	1	in	in	ADP
ejpam-1099	199	2	this	this	DET
ejpam-1099	199	3	class	class	NOUN
ejpam-1099	199	4	,	,	PUNCT
ejpam-1099	199	5	we	we	PRON
ejpam-1099	199	6	can	can	AUX
ejpam-1099	199	7	take	take	VERB
ejpam-1099	199	8	ẍ	ẍ	X
ejpam-1099	200	1	=	=	PUNCT
ejpam-1099	201	1	x2	x2	PROPN
ejpam-1099	201	2	ẋ	ẋ	PROPN
ejpam-1099	202	1	−	−	NOUN
ejpam-1099	202	2	1	1	NUM
ejpam-1099	202	3	15	15	NUM
ejpam-1099	202	4	x5	x5	NOUN
ejpam-1099	202	5	for	for	ADP
ejpam-1099	202	6	which	which	PRON
ejpam-1099	202	7	we	we	PRON
ejpam-1099	202	8	have	have	VERB
ejpam-1099	203	1	x1	x1	PROPN
ejpam-1099	203	2	=	=	SYM
ejpam-1099	203	3	∂	∂	NUM
ejpam-1099	203	4	∂	∂	NOUN
ejpam-1099	203	5	t	t	NOUN
ejpam-1099	203	6	and	and	CCONJ
ejpam-1099	203	7	x2	x2	PROPN
ejpam-1099	203	8	=	=	PROPN
ejpam-1099	203	9	t	t	PROPN
ejpam-1099	203	10	∂	∂	NUM
ejpam-1099	203	11	∂	∂	NUM
ejpam-1099	203	12	t	t	NOUN
ejpam-1099	203	13	−	−	NOUN
ejpam-1099	203	14	x	x	SYM
ejpam-1099	203	15	2	2	NUM
ejpam-1099	203	16	∂	∂	NUM
ejpam-1099	203	17	∂	∂	NOUN
ejpam-1099	203	18	x	x	NOUN
ejpam-1099	203	19	.	.	PUNCT
ejpam-1099	204	1	the	the	DET
ejpam-1099	204	2	corresponding	correspond	VERB
ejpam-1099	204	3	fluxes	flux	NOUN
ejpam-1099	204	4	form	form	VERB
ejpam-1099	204	5	the	the	DET
ejpam-1099	204	6	two	two	NUM
ejpam-1099	204	7	-	-	PUNCT
ejpam-1099	204	8	parameter	parameter	NOUN
ejpam-1099	204	9	group	group	NOUN
ejpam-1099	204	10	of	of	ADP
ejpam-1099	204	11	affine	affine	NOUN
ejpam-1099	204	12	transformations	transformation	NOUN
ejpam-1099	204	13	(	(	PUNCT
ejpam-1099	204	14	t	t	PROPN
ejpam-1099	204	15	,	,	PUNCT
ejpam-1099	204	16	x)→	x)→	PROPN
ejpam-1099	204	17	(	(	PUNCT
ejpam-1099	204	18	λt	λt	ADP
ejpam-1099	204	19	+	+	NOUN
ejpam-1099	204	20	µ	µ	NOUN
ejpam-1099	204	21	,	,	PUNCT
ejpam-1099	204	22	xp	xp	ADV
ejpam-1099	204	23	λ	λ	PROPN
ejpam-1099	204	24	)	)	PUNCT
ejpam-1099	204	25	.	.	PUNCT
ejpam-1099	205	1	h.	h.	PROPN
ejpam-1099	205	2	zeghdoudi	zeghdoudi	PROPN
ejpam-1099	205	3	,	,	PUNCT
ejpam-1099	205	4	l.	l.	PROPN
ejpam-1099	205	5	bouchahed	bouchahe	VERB
ejpam-1099	205	6	,	,	PUNCT
ejpam-1099	205	7	r.dridi	r.dridi	PROPN
ejpam-1099	205	8	/	/	SYM
ejpam-1099	205	9	eur	eur	PROPN
ejpam-1099	205	10	.	.	PUNCT
ejpam-1099	206	1	j.	j.	PROPN
ejpam-1099	206	2	pure	pure	PROPN
ejpam-1099	206	3	appl	appl	PROPN
ejpam-1099	206	4	.	.	PROPN
ejpam-1099	206	5	math	math	PROPN
ejpam-1099	206	6	,	,	PUNCT
ejpam-1099	206	7	6	6	NUM
ejpam-1099	206	8	(	(	PUNCT
ejpam-1099	206	9	2013	2013	NUM
ejpam-1099	206	10	)	)	PUNCT
ejpam-1099	206	11	,	,	PUNCT
ejpam-1099	206	12	126	126	NUM
ejpam-1099	206	13	-	-	SYM
ejpam-1099	206	14	136	136	NUM
ejpam-1099	206	15	133	133	NUM
ejpam-1099	206	16	subcase	subcase	NOUN
ejpam-1099	206	17	ii.4	ii.4	PROPN
ejpam-1099	206	18	.	.	PUNCT
ejpam-1099	207	1	g	g	NOUN
ejpam-1099	207	2	=	=	SYM
ejpam-1099	207	3	0	0	PROPN
ejpam-1099	207	4	,	,	PUNCT
ejpam-1099	207	5	f	f	PROPN
ejpam-1099	207	6	fx	fx	PROPN
ejpam-1099	207	7	6=	6=	ADP
ejpam-1099	207	8	0	0	NUM
ejpam-1099	207	9	the	the	DET
ejpam-1099	207	10	last	last	ADJ
ejpam-1099	207	11	of	of	ADP
ejpam-1099	207	12	the	the	DET
ejpam-1099	207	13	four	four	NUM
ejpam-1099	207	14	subcases	subcase	NOUN
ejpam-1099	207	15	is	be	AUX
ejpam-1099	207	16			PROPN
ejpam-1099	207	17			PROPN
ejpam-1099	207	18			PROPN
ejpam-1099	207	19			PROPN
ejpam-1099	207	20			PROPN
ejpam-1099	207	21			PROPN
ejpam-1099	207	22			PROPN
ejpam-1099	207	23			PROPN
ejpam-1099	207	24			PROPN
ejpam-1099	207	25			PROPN
ejpam-1099	207	26			NOUN
ejpam-1099	207	27			PROPN
ejpam-1099	207	28			PROPN
ejpam-1099	207	29			PROPN
ejpam-1099	207	30			PROPN
ejpam-1099	207	31			PROPN
ejpam-1099	207	32			PROPN
ejpam-1099	207	33			PROPN
ejpam-1099	207	34			PROPN
ejpam-1099	207	35			PROPN
ejpam-1099	207	36			NOUN
ejpam-1099	207	37	λx	λx	PROPN
ejpam-1099	207	38	=	=	SYM
ejpam-1099	207	39	0	0	PROPN
ejpam-1099	207	40	,	,	PUNCT
ejpam-1099	207	41	ax	ax	NOUN
ejpam-1099	207	42	=	=	SYM
ejpam-1099	207	43	λ	λ	X
ejpam-1099	207	44	�	�	PROPN
ejpam-1099	207	45	fx	fx	PROPN
ejpam-1099	207	46	2	2	NUM
ejpam-1099	207	47	fx	fx	NOUN
ejpam-1099	207	48	x	x	PUNCT
ejpam-1099	208	1	+	+	NUM
ejpam-1099	208	2	f	f	X
ejpam-1099	208	3	fx	fx	PROPN
ejpam-1099	208	4	fx	fx	PROPN
ejpam-1099	208	5	x	x	PUNCT
ejpam-1099	208	6	x	x	SYM
ejpam-1099	209	1	−	−	PROPN
ejpam-1099	209	2	2	2	NUM
ejpam-1099	209	3	f	f	PROPN
ejpam-1099	209	4	fx	fx	NOUN
ejpam-1099	209	5	x	x	SYM
ejpam-1099	209	6	2	2	NUM
ejpam-1099	209	7	�	�	SYM
ejpam-1099	209	8	2	2	NUM
ejpam-1099	209	9	fx	fx	NOUN
ejpam-1099	209	10	3	3	NUM
ejpam-1099	209	11	f	f	PROPN
ejpam-1099	209	12	,	,	PUNCT
ejpam-1099	209	13	b	b	PROPN
ejpam-1099	209	14	=	=	SYM
ejpam-1099	209	15	−	−	PROPN
ejpam-1099	209	16	λ	λ	X
ejpam-1099	209	17	f	f	PROPN
ejpam-1099	209	18	fx	fx	PROPN
ejpam-1099	209	19	,	,	PUNCT
ejpam-1099	209	20	fx	fx	NOUN
ejpam-1099	209	21	x	x	PUNCT
ejpam-1099	210	1	x	x	PUNCT
ejpam-1099	210	2	x	x	X
ejpam-1099	210	3	=	=	PUNCT
ejpam-1099	210	4	−	−	NOUN
ejpam-1099	210	5	f	f	X
ejpam-1099	210	6	fx	fx	PROPN
ejpam-1099	210	7	3	3	NUM
ejpam-1099	210	8	fx	fx	NOUN
ejpam-1099	210	9	x	x	SYM
ejpam-1099	210	10	x	x	SYM
ejpam-1099	210	11	−	−	PROPN
ejpam-1099	210	12	6	6	NUM
ejpam-1099	210	13	fx	fx	NOUN
ejpam-1099	210	14	x	x	SYM
ejpam-1099	210	15	3	3	NUM
ejpam-1099	210	16	f	f	SYM
ejpam-1099	210	17	2	2	NUM
ejpam-1099	210	18	+	+	NUM
ejpam-1099	210	19	6	6	NUM
ejpam-1099	210	20	f	f	SYM
ejpam-1099	210	21	2	2	NUM
ejpam-1099	210	22	fx	fx	NOUN
ejpam-1099	210	23	fx	fx	NOUN
ejpam-1099	210	24	x	x	PUNCT
ejpam-1099	210	25	fx	fx	NOUN
ejpam-1099	210	26	x	x	SYM
ejpam-1099	210	27	x	x	SYM
ejpam-1099	211	1	+	+	NUM
ejpam-1099	211	2	fx	fx	NOUN
ejpam-1099	211	3	x	x	SYM
ejpam-1099	211	4	2	2	NUM
ejpam-1099	211	5	f	f	NOUN
ejpam-1099	211	6	fx	fx	PROPN
ejpam-1099	211	7	2	2	NUM
ejpam-1099	211	8	+	+	NUM
ejpam-1099	211	9	fx	fx	PROPN
ejpam-1099	211	10	4	4	NUM
ejpam-1099	211	11	fx	fx	NOUN
ejpam-1099	211	12	x	x	SYM
ejpam-1099	211	13	f	f	X
ejpam-1099	211	14	2	2	NUM
ejpam-1099	211	15	fx	fx	NOUN
ejpam-1099	211	16	2	2	NUM
ejpam-1099	211	17	g	g	NOUN
ejpam-1099	211	18	=	=	SYM
ejpam-1099	211	19	0	0	X
ejpam-1099	211	20	.	.	PUNCT
ejpam-1099	212	1	we	we	PRON
ejpam-1099	212	2	deduce	deduce	VERB
ejpam-1099	212	3	that	that	SCONJ
ejpam-1099	212	4	the	the	DET
ejpam-1099	212	5	symmetry	symmetry	NOUN
ejpam-1099	212	6	lie	lie	NOUN
ejpam-1099	212	7	algebra	algebra	NOUN
ejpam-1099	212	8	can	can	AUX
ejpam-1099	212	9	not	not	PART
ejpam-1099	212	10	be	be	AUX
ejpam-1099	212	11	abelian	abelian	ADJ
ejpam-1099	212	12	and	and	CCONJ
ejpam-1099	212	13	hence	hence	ADV
ejpam-1099	212	14	:	:	PUNCT
ejpam-1099	212	15	proposition	proposition	NOUN
ejpam-1099	212	16	5	5	NUM
ejpam-1099	212	17	.	.	PUNCT
ejpam-1099	213	1	the	the	DET
ejpam-1099	213	2	symmetry	symmetry	NOUN
ejpam-1099	213	3	lie	lie	NOUN
ejpam-1099	213	4	algebra	algebra	NOUN
ejpam-1099	213	5	is	be	AUX
ejpam-1099	213	6	isomorphic	isomorphic	ADJ
ejpam-1099	213	7	to	to	ADP
ejpam-1099	213	8	a(1,r	a(1,r	NUM
ejpam-1099	213	9	)	)	PUNCT
ejpam-1099	213	10	.	.	PUNCT
ejpam-1099	214	1	remark	remark	NOUN
ejpam-1099	214	2	2	2	NUM
ejpam-1099	214	3	.	.	PUNCT
ejpam-1099	215	1	liénard	liénard	PROPN
ejpam-1099	215	2	equation	equation	NOUN
ejpam-1099	215	3	such	such	ADJ
ejpam-1099	215	4	that	that	SCONJ
ejpam-1099	215	5	g	g	NOUN
ejpam-1099	215	6	=	=	SYM
ejpam-1099	215	7	0	0	PROPN
ejpam-1099	215	8	has	have	VERB
ejpam-1099	215	9	the	the	DET
ejpam-1099	215	10	first	first	ADJ
ejpam-1099	215	11	integral	integral	ADJ
ejpam-1099	215	12	t	t	NOUN
ejpam-1099	216	1	−	−	PROPN
ejpam-1099	217	1	∫	∫	PROPN
ejpam-1099	218	1	x	x	SYM
ejpam-1099	219	1	1	1	NUM
ejpam-1099	219	2	∫	∫	PROPN
ejpam-1099	219	3	f	f	PROPN
ejpam-1099	219	4	(	(	PUNCT
ejpam-1099	219	5	s)+c	s)+c	PROPN
ejpam-1099	219	6	.	.	PUNCT
ejpam-1099	220	1	hence	hence	ADV
ejpam-1099	220	2	,	,	PUNCT
ejpam-1099	220	3	such	such	ADJ
ejpam-1099	220	4	equations	equation	NOUN
ejpam-1099	220	5	can	can	AUX
ejpam-1099	220	6	not	not	PART
ejpam-1099	220	7	have	have	VERB
ejpam-1099	220	8	limit	limit	NOUN
ejpam-1099	220	9	cycles	cycle	NOUN
ejpam-1099	220	10	.	.	PUNCT
ejpam-1099	221	1	example	example	NOUN
ejpam-1099	222	1	4	4	NUM
ejpam-1099	222	2	.	.	PUNCT
ejpam-1099	222	3	in	in	ADP
ejpam-1099	222	4	this	this	DET
ejpam-1099	222	5	case	case	NOUN
ejpam-1099	222	6	,	,	PUNCT
ejpam-1099	222	7	we	we	PRON
ejpam-1099	222	8	can	can	AUX
ejpam-1099	222	9	take	take	VERB
ejpam-1099	222	10	ẍ	ẍ	X
ejpam-1099	223	1	=	=	PUNCT
ejpam-1099	223	2	x	x	SYM
ejpam-1099	223	3	ẋ	ẋ	PROPN
ejpam-1099	223	4	for	for	ADP
ejpam-1099	223	5	which	which	PRON
ejpam-1099	223	6	we	we	PRON
ejpam-1099	223	7	have	have	VERB
ejpam-1099	224	1	x1	x1	PROPN
ejpam-1099	224	2	=	=	SYM
ejpam-1099	224	3	∂	∂	NUM
ejpam-1099	224	4	∂	∂	NOUN
ejpam-1099	224	5	t	t	NOUN
ejpam-1099	224	6	and	and	CCONJ
ejpam-1099	224	7	x2	x2	PROPN
ejpam-1099	224	8	=	=	PROPN
ejpam-1099	224	9	t	t	PROPN
ejpam-1099	224	10	∂	∂	NUM
ejpam-1099	224	11	∂	∂	NUM
ejpam-1099	224	12	t	t	NOUN
ejpam-1099	224	13	−	−	NOUN
ejpam-1099	224	14	x	x	SYM
ejpam-1099	224	15	∂	∂	NUM
ejpam-1099	224	16	∂	∂	NUM
ejpam-1099	224	17	x	x	NOUN
ejpam-1099	224	18	.	.	PUNCT
ejpam-1099	225	1	the	the	DET
ejpam-1099	225	2	corresponding	correspond	VERB
ejpam-1099	225	3	fluxes	flux	NOUN
ejpam-1099	225	4	form	form	VERB
ejpam-1099	225	5	the	the	DET
ejpam-1099	225	6	two	two	NUM
ejpam-1099	225	7	-	-	PUNCT
ejpam-1099	225	8	parameter	parameter	NOUN
ejpam-1099	225	9	group	group	NOUN
ejpam-1099	225	10	of	of	ADP
ejpam-1099	225	11	affine	affine	NOUN
ejpam-1099	225	12	transformations	transformation	NOUN
ejpam-1099	225	13	(	(	PUNCT
ejpam-1099	225	14	t	t	PROPN
ejpam-1099	225	15	,	,	PUNCT
ejpam-1099	225	16	x)→	x)→	PROPN
ejpam-1099	225	17	(	(	PUNCT
ejpam-1099	225	18	λt	λt	ADP
ejpam-1099	225	19	+	+	NOUN
ejpam-1099	225	20	µ	µ	NOUN
ejpam-1099	225	21	,	,	PUNCT
ejpam-1099	225	22	x	x	SYM
ejpam-1099	225	23	λ	λ	NOUN
ejpam-1099	225	24	)	)	PUNCT
ejpam-1099	225	25	.	.	PUNCT
ejpam-1099	226	1	3.1.1	3.1.1	X
ejpam-1099	226	2	.	.	PUNCT
ejpam-1099	226	3	third	third	ADJ
ejpam-1099	226	4	case	case	NOUN
ejpam-1099	226	5	g	g	ADP
ejpam-1099	226	6	6=	6=	PRON
ejpam-1099	226	7	0	0	NUM
ejpam-1099	227	1	the	the	DET
ejpam-1099	227	2	characteristic	characteristic	ADJ
ejpam-1099	227	3	presentation	presentation	NOUN
ejpam-1099	227	4	is	be	AUX
ejpam-1099	227	5			PROPN
ejpam-1099	227	6			PROPN
ejpam-1099	227	7			PROPN
ejpam-1099	227	8			PROPN
ejpam-1099	227	9			PROPN
ejpam-1099	227	10			PROPN
ejpam-1099	227	11			PROPN
ejpam-1099	227	12			PROPN
ejpam-1099	227	13			PROPN
ejpam-1099	227	14			PROPN
ejpam-1099	227	15			PROPN
ejpam-1099	227	16			NOUN
ejpam-1099	227	17			PROPN
ejpam-1099	227	18			PROPN
ejpam-1099	227	19			PROPN
ejpam-1099	227	20			PROPN
ejpam-1099	227	21			PROPN
ejpam-1099	227	22			PROPN
ejpam-1099	227	23			PROPN
ejpam-1099	227	24			PROPN
ejpam-1099	227	25			PROPN
ejpam-1099	227	26			PROPN
ejpam-1099	227	27			NOUN
ejpam-1099	227	28	λx	λx	PROPN
ejpam-1099	227	29	=	=	SYM
ejpam-1099	227	30	0	0	PROPN
ejpam-1099	227	31	,	,	PUNCT
ejpam-1099	227	32	ax	ax	NOUN
ejpam-1099	227	33	=	=	NOUN
ejpam-1099	228	1	−	−	PROPN
ejpam-1099	228	2	f	f	PROPN
ejpam-1099	228	3	�	�	PROPN
ejpam-1099	228	4	9λg	9λg	NOUN
ejpam-1099	228	5	−	−	PROPN
ejpam-1099	228	6	b	b	PROPN
ejpam-1099	228	7	f	f	PROPN
ejpam-1099	228	8	2	2	NUM
ejpam-1099	228	9	�	�	PROPN
ejpam-1099	228	10	27g2	27g2	NUM
ejpam-1099	228	11	,	,	PUNCT
ejpam-1099	228	12	bx	bx	NOUN
ejpam-1099	228	13	=	=	PUNCT
ejpam-1099	228	14	6λg	6λg	NOUN
ejpam-1099	229	1	−	−	PROPN
ejpam-1099	229	2	b	b	NOUN
ejpam-1099	229	3	f	f	PROPN
ejpam-1099	229	4	2	2	NUM
ejpam-1099	229	5	3	3	NUM
ejpam-1099	229	6	g	g	NOUN
ejpam-1099	229	7	,	,	PUNCT
ejpam-1099	229	8	fx	fx	NOUN
ejpam-1099	229	9	=	=	NOUN
ejpam-1099	229	10	−	−	PROPN
ejpam-1099	229	11	f	f	NOUN
ejpam-1099	229	12	3	3	NUM
ejpam-1099	229	13	9	9	NUM
ejpam-1099	229	14	g	g	NOUN
ejpam-1099	229	15	,	,	PUNCT
ejpam-1099	229	16	gx	gx	PROPN
ejpam-1099	229	17	=	=	SYM
ejpam-1099	229	18	f	f	PROPN
ejpam-1099	229	19	2	2	NUM
ejpam-1099	229	20	3	3	NUM
ejpam-1099	229	21	the	the	DET
ejpam-1099	229	22	number	number	NOUN
ejpam-1099	229	23	of	of	ADP
ejpam-1099	229	24	points	point	NOUN
ejpam-1099	229	25	under	under	ADP
ejpam-1099	229	26	the	the	DET
ejpam-1099	229	27	stairs	stair	NOUN
ejpam-1099	229	28	of	of	ADP
ejpam-1099	229	29	λ	λ	PROPN
ejpam-1099	229	30	,	,	PUNCT
ejpam-1099	229	31	a	a	PRON
ejpam-1099	229	32	and	and	CCONJ
ejpam-1099	229	33	b	b	NOUN
ejpam-1099	229	34	shows	show	VERB
ejpam-1099	229	35	that	that	SCONJ
ejpam-1099	229	36	the	the	DET
ejpam-1099	229	37	lie	lie	NOUN
ejpam-1099	229	38	algebra	algebra	NOUN
ejpam-1099	229	39	is	be	AUX
ejpam-1099	229	40	threedimensional	threedimensional	ADJ
ejpam-1099	229	41	.	.	PUNCT
ejpam-1099	230	1	proposition	proposition	NOUN
ejpam-1099	230	2	6	6	NUM
ejpam-1099	230	3	.	.	PUNCT
ejpam-1099	231	1	in	in	ADP
ejpam-1099	231	2	this	this	DET
ejpam-1099	231	3	case	case	NOUN
ejpam-1099	231	4	the	the	DET
ejpam-1099	231	5	lie	lie	NOUN
ejpam-1099	231	6	algebra	algebra	NOUN
ejpam-1099	231	7	is	be	AUX
ejpam-1099	231	8	3	3	NUM
ejpam-1099	231	9	-	-	PUNCT
ejpam-1099	231	10	dimensional	dimensional	ADJ
ejpam-1099	231	11	and	and	CCONJ
ejpam-1099	231	12	generated	generate	VERB
ejpam-1099	231	13	by	by	ADP
ejpam-1099	231	14			PROPN
ejpam-1099	231	15			PROPN
ejpam-1099	231	16			ADP
ejpam-1099	231	17			ADJ
ejpam-1099	231	18			NOUN
ejpam-1099	232	1	x1	x1	PROPN
ejpam-1099	232	2	=	=	SYM
ejpam-1099	232	3	∂	∂	NUM
ejpam-1099	232	4	∂	∂	NUM
ejpam-1099	232	5	t	t	NOUN
ejpam-1099	232	6	,	,	PUNCT
ejpam-1099	232	7	x2	x2	PROPN
ejpam-1099	232	8	=	=	PRON
ejpam-1099	232	9	(	(	PUNCT
ejpam-1099	232	10	x	x	SYM
ejpam-1099	232	11	f	f	PROPN
ejpam-1099	232	12	(	(	PUNCT
ejpam-1099	232	13	0	0	NUM
ejpam-1099	232	14	)	)	PUNCT
ejpam-1099	232	15	3g(0	3g(0	NOUN
ejpam-1099	232	16	)	)	PUNCT
ejpam-1099	232	17	+	+	NUM
ejpam-1099	232	18	t	t	X
ejpam-1099	232	19	)	)	PUNCT
ejpam-1099	232	20	∂	∂	NUM
ejpam-1099	232	21	∂	∂	NUM
ejpam-1099	232	22	t	t	PROPN
ejpam-1099	232	23	+	+	CCONJ
ejpam-1099	232	24	�	�	PROPN
ejpam-1099	232	25	2	2	NUM
ejpam-1099	232	26	x	x	SYM
ejpam-1099	232	27	−	−	NOUN
ejpam-1099	233	1	x2	x2	INTJ
ejpam-1099	233	2	f	f	PROPN
ejpam-1099	233	3	(	(	PUNCT
ejpam-1099	233	4	0)2	0)2	NUM
ejpam-1099	233	5	3g(0	3g(0	NOUN
ejpam-1099	233	6	)	)	PUNCT
ejpam-1099	234	1	+	+	CCONJ
ejpam-1099	234	2	1	1	NUM
ejpam-1099	234	3	81	81	NUM
ejpam-1099	234	4	x3	x3	ADJ
ejpam-1099	234	5	f	f	PROPN
ejpam-1099	234	6	(	(	PUNCT
ejpam-1099	234	7	0)4	0)4	PROPN
ejpam-1099	234	8	g(0)2	g(0)2	PROPN
ejpam-1099	234	9	�	�	PROPN
ejpam-1099	234	10	∂	∂	PART
ejpam-1099	234	11	∂	∂	NOUN
ejpam-1099	234	12	x	x	SYM
ejpam-1099	234	13	x3	x3	NOUN
ejpam-1099	234	14	=	=	PUNCT
ejpam-1099	234	15	x	x	SYM
ejpam-1099	234	16	f	f	PROPN
ejpam-1099	234	17	(	(	PUNCT
ejpam-1099	234	18	0)3	0)3	NUM
ejpam-1099	234	19	27g(0)2	27g(0)2	NUM
ejpam-1099	234	20	∂	∂	NUM
ejpam-1099	234	21	∂	∂	NUM
ejpam-1099	234	22	t	t	PROPN
ejpam-1099	234	23	+	+	CCONJ
ejpam-1099	234	24	�	�	PROPN
ejpam-1099	234	25	1−	1−	NUM
ejpam-1099	234	26	x	x	SYM
ejpam-1099	234	27	f	f	X
ejpam-1099	234	28	(	(	PUNCT
ejpam-1099	234	29	0)2	0)2	NUM
ejpam-1099	234	30	3g(0	3g(0	NOUN
ejpam-1099	234	31	)	)	PUNCT
ejpam-1099	235	1	+	+	CCONJ
ejpam-1099	236	1	x2	x2	PROPN
ejpam-1099	236	2	f	f	PROPN
ejpam-1099	236	3	(	(	PUNCT
ejpam-1099	236	4	0)4	0)4	PROPN
ejpam-1099	236	5	27g(0)2	27g(0)2	NUM
ejpam-1099	236	6	−	−	NOUN
ejpam-1099	236	7	x3	x3	ADJ
ejpam-1099	236	8	1	1	NUM
ejpam-1099	236	9	729	729	NUM
ejpam-1099	236	10	f	f	NOUN
ejpam-1099	236	11	(	(	PUNCT
ejpam-1099	236	12	0)6	0)6	PROPN
ejpam-1099	236	13	g(0)3	g(0)3	PROPN
ejpam-1099	236	14	�	�	PROPN
ejpam-1099	236	15	∂	∂	NUM
ejpam-1099	236	16	∂	∂	NOUN
ejpam-1099	236	17	x	x	NOUN
ejpam-1099	236	18	,	,	PUNCT
ejpam-1099	236	19	where	where	SCONJ
ejpam-1099	236	20	f	f	PROPN
ejpam-1099	236	21	(	(	PUNCT
ejpam-1099	236	22	0	0	NUM
ejpam-1099	236	23	)	)	PUNCT
ejpam-1099	236	24	,	,	PUNCT
ejpam-1099	236	25	g(0	g(0	PROPN
ejpam-1099	236	26	)	)	PUNCT
ejpam-1099	236	27	denote	denote	VERB
ejpam-1099	236	28	the	the	DET
ejpam-1099	236	29	values	value	NOUN
ejpam-1099	236	30	of	of	ADP
ejpam-1099	236	31	f	f	PROPN
ejpam-1099	236	32	et	et	NOUN
ejpam-1099	236	33	g	g	NOUN
ejpam-1099	236	34	at	at	ADP
ejpam-1099	236	35	x	x	X
ejpam-1099	237	1	=	=	SYM
ejpam-1099	238	1	0	0	PROPN
ejpam-1099	238	2	.	.	PUNCT
ejpam-1099	239	1	h.	h.	PROPN
ejpam-1099	239	2	zeghdoudi	zeghdoudi	PROPN
ejpam-1099	239	3	,	,	PUNCT
ejpam-1099	239	4	l.	l.	PROPN
ejpam-1099	239	5	bouchahed	bouchahe	VERB
ejpam-1099	239	6	,	,	PUNCT
ejpam-1099	239	7	r.dridi	r.dridi	PROPN
ejpam-1099	239	8	/	/	SYM
ejpam-1099	239	9	eur	eur	PROPN
ejpam-1099	239	10	.	.	PUNCT
ejpam-1099	240	1	j.	j.	PROPN
ejpam-1099	240	2	pure	pure	PROPN
ejpam-1099	240	3	appl	appl	PROPN
ejpam-1099	240	4	.	.	PROPN
ejpam-1099	240	5	math	math	PROPN
ejpam-1099	240	6	,	,	PUNCT
ejpam-1099	240	7	6	6	NUM
ejpam-1099	240	8	(	(	PUNCT
ejpam-1099	240	9	2013	2013	NUM
ejpam-1099	240	10	)	)	PUNCT
ejpam-1099	240	11	,	,	PUNCT
ejpam-1099	240	12	126	126	NUM
ejpam-1099	240	13	-	-	SYM
ejpam-1099	240	14	136	136	NUM
ejpam-1099	240	15	134	134	NUM
ejpam-1099	240	16	proof	proof	NOUN
ejpam-1099	240	17	.	.	PUNCT
ejpam-1099	241	1	see	see	VERB
ejpam-1099	241	2	[	[	X
ejpam-1099	241	3	10	10	NUM
ejpam-1099	241	4	]	]	PUNCT
ejpam-1099	241	5	.	.	PUNCT
ejpam-1099	242	1	3.1.2	3.1.2	NUM
ejpam-1099	242	2	.	.	PUNCT
ejpam-1099	242	3	fourth	fourth	ADJ
ejpam-1099	242	4	case	case	NOUN
ejpam-1099	242	5	this	this	DET
ejpam-1099	242	6	case	case	NOUN
ejpam-1099	242	7	corresponds	correspond	VERB
ejpam-1099	242	8	to	to	ADP
ejpam-1099	242	9	the	the	DET
ejpam-1099	242	10	characteristic	characteristic	ADJ
ejpam-1099	242	11	set	set	VERB
ejpam-1099	243	1			PROPN
ejpam-1099	243	2			PROPN
ejpam-1099	243	3			PROPN
ejpam-1099	243	4			PROPN
ejpam-1099	243	5			PROPN
ejpam-1099	243	6			NOUN
ejpam-1099	243	7			PROPN
ejpam-1099	243	8			PROPN
ejpam-1099	243	9			PROPN
ejpam-1099	243	10			PROPN
ejpam-1099	243	11			NOUN
ejpam-1099	243	12	λ=	λ=	NOUN
ejpam-1099	243	13	0	0	NUM
ejpam-1099	243	14	,	,	PUNCT
ejpam-1099	243	15	ax	ax	NOUN
ejpam-1099	243	16	,	,	PUNCT
ejpam-1099	243	17	x	x	SYM
ejpam-1099	243	18	=	=	SYM
ejpam-1099	243	19	0	0	NUM
ejpam-1099	243	20	,	,	PUNCT
ejpam-1099	243	21	bx	bx	INTJ
ejpam-1099	243	22	,	,	PUNCT
ejpam-1099	243	23	x	x	SYM
ejpam-1099	243	24	=	=	SYM
ejpam-1099	243	25	2	2	NUM
ejpam-1099	243	26	ax	ax	NOUN
ejpam-1099	243	27	f	f	NOUN
ejpam-1099	243	28	,	,	PUNCT
ejpam-1099	243	29	fx	fx	PROPN
ejpam-1099	243	30	=	=	SYM
ejpam-1099	243	31	0	0	NUM
ejpam-1099	243	32	,	,	PUNCT
ejpam-1099	243	33	g	g	NOUN
ejpam-1099	243	34	=	=	NOUN
ejpam-1099	243	35	0	0	PROPN
ejpam-1099	243	36	.	.	PUNCT
ejpam-1099	244	1	we	we	PRON
ejpam-1099	244	2	deduce	deduce	VERB
ejpam-1099	244	3	:	:	PUNCT
ejpam-1099	244	4	proposition	proposition	NOUN
ejpam-1099	244	5	7	7	NUM
ejpam-1099	244	6	.	.	PUNCT
ejpam-1099	245	1	the	the	DET
ejpam-1099	245	2	symmetry	symmetry	NOUN
ejpam-1099	245	3	algebra	algebra	NOUN
ejpam-1099	245	4	is	be	AUX
ejpam-1099	245	5	four	four	NUM
ejpam-1099	245	6	-	-	PUNCT
ejpam-1099	245	7	dimensional	dimensional	ADJ
ejpam-1099	245	8	.	.	PUNCT
ejpam-1099	246	1	moreover	moreover	ADV
ejpam-1099	246	2	,	,	PUNCT
ejpam-1099	246	3	liénard	liénard	ADJ
ejpam-1099	246	4	equation	equation	NOUN
ejpam-1099	246	5	is	be	AUX
ejpam-1099	246	6	necessarily	necessarily	ADV
ejpam-1099	246	7	of	of	ADP
ejpam-1099	246	8	the	the	DET
ejpam-1099	246	9	form	form	NOUN
ejpam-1099	246	10	ẍ	ẍ	X
ejpam-1099	247	1	=	=	PUNCT
ejpam-1099	247	2	aẋ	aẋ	NOUN
ejpam-1099	247	3	,	,	PUNCT
ejpam-1099	247	4	where	where	SCONJ
ejpam-1099	247	5	a	a	DET
ejpam-1099	247	6	∈	∈	PROPN
ejpam-1099	247	7	r.	r.	NOUN
ejpam-1099	247	8	the	the	DET
ejpam-1099	247	9	infinitesimal	infinitesimal	ADJ
ejpam-1099	247	10	generators	generator	NOUN
ejpam-1099	247	11	are	be	AUX
ejpam-1099	247	12	x1	x1	PROPN
ejpam-1099	247	13	=	=	SYM
ejpam-1099	247	14	∂	∂	NUM
ejpam-1099	247	15	∂	∂	NUM
ejpam-1099	247	16	t	t	NOUN
ejpam-1099	247	17	,	,	PUNCT
ejpam-1099	248	1	x2	x2	PROPN
ejpam-1099	248	2	=	=	SYM
ejpam-1099	248	3	∂	∂	NUM
ejpam-1099	248	4	∂	∂	NOUN
ejpam-1099	248	5	x	x	NOUN
ejpam-1099	248	6	,	,	PUNCT
ejpam-1099	248	7	x3	x3	PROPN
ejpam-1099	248	8	=	=	SYM
ejpam-1099	248	9	x	x	SYM
ejpam-1099	248	10	∂	∂	NUM
ejpam-1099	248	11	∂	∂	NOUN
ejpam-1099	248	12	x	x	NOUN
ejpam-1099	248	13	,	,	PUNCT
ejpam-1099	248	14	x4	x4	PROPN
ejpam-1099	248	15	=	=	PUNCT
ejpam-1099	248	16	x	x	SYM
ejpam-1099	248	17	∂	∂	NUM
ejpam-1099	248	18	∂	∂	NUM
ejpam-1099	248	19	t	t	NOUN
ejpam-1099	249	1	+	+	CCONJ
ejpam-1099	249	2	x2	x2	PROPN
ejpam-1099	249	3	∂	∂	NOUN
ejpam-1099	249	4	∂	∂	NOUN
ejpam-1099	249	5	x	x	NOUN
ejpam-1099	249	6	,	,	PUNCT
ejpam-1099	249	7	generating	generate	VERB
ejpam-1099	249	8	gl(2,r	gl(2,r	NOUN
ejpam-1099	249	9	)	)	PUNCT
ejpam-1099	249	10	.	.	PUNCT
ejpam-1099	250	1	the	the	DET
ejpam-1099	250	2	corresponding	correspond	VERB
ejpam-1099	250	3	fluxes	flux	NOUN
ejpam-1099	250	4	are	be	AUX
ejpam-1099	250	5	(	(	PUNCT
ejpam-1099	250	6	t	t	PROPN
ejpam-1099	250	7	,	,	PUNCT
ejpam-1099	250	8	x)→	x)→	PROPN
ejpam-1099	250	9	(	(	PUNCT
ejpam-1099	250	10	t	t	NOUN
ejpam-1099	250	11	−	−	PROPN
ejpam-1099	250	12	ln(1−	ln(1−	PROPN
ejpam-1099	250	13	εx	εx	PROPN
ejpam-1099	250	14	)	)	PUNCT
ejpam-1099	250	15	+	+	NOUN
ejpam-1099	250	16	µ	µ	NOUN
ejpam-1099	250	17	,	,	PUNCT
ejpam-1099	250	18	σ	σ	PROPN
ejpam-1099	250	19	x	x	SYM
ejpam-1099	250	20	1−	1−	NUM
ejpam-1099	250	21	εx	εx	ADP
ejpam-1099	250	22	+	+	CCONJ
ejpam-1099	250	23	ν	ν	NOUN
ejpam-1099	250	24	)	)	PUNCT
ejpam-1099	250	25	.	.	PUNCT
ejpam-1099	251	1	where	where	SCONJ
ejpam-1099	251	2	ε	ε	PROPN
ejpam-1099	251	3	,	,	PUNCT
ejpam-1099	251	4	µ	µ	X
ejpam-1099	251	5	,	,	PUNCT
ejpam-1099	251	6	σ	σ	PROPN
ejpam-1099	251	7	and	and	CCONJ
ejpam-1099	251	8	ν	ν	NOUN
ejpam-1099	251	9	are	be	AUX
ejpam-1099	251	10	the	the	DET
ejpam-1099	251	11	group	group	NOUN
ejpam-1099	251	12	parameters	parameter	NOUN
ejpam-1099	251	13	3.1.3	3.1.3	NUM
ejpam-1099	251	14	.	.	PUNCT
ejpam-1099	251	15	fifth	fifth	ADJ
ejpam-1099	251	16	case	case	NOUN
ejpam-1099	251	17	this	this	DET
ejpam-1099	251	18	case	case	NOUN
ejpam-1099	251	19	completes	complete	VERB
ejpam-1099	251	20	the	the	DET
ejpam-1099	251	21	classification	classification	NOUN
ejpam-1099	251	22	.	.	PUNCT
ejpam-1099	252	1	we	we	PRON
ejpam-1099	252	2	have	have	VERB
ejpam-1099	252	3	the	the	DET
ejpam-1099	252	4	characteristic	characteristic	ADJ
ejpam-1099	252	5	set	set	VERB
ejpam-1099	252	6			PROPN
ejpam-1099	252	7			PROPN
ejpam-1099	252	8			PROPN
ejpam-1099	252	9			PROPN
ejpam-1099	252	10			PROPN
ejpam-1099	252	11			NOUN
ejpam-1099	252	12			PROPN
ejpam-1099	252	13			PROPN
ejpam-1099	252	14			PROPN
ejpam-1099	252	15			PROPN
ejpam-1099	252	16			NOUN
ejpam-1099	252	17	λx	λx	PROPN
ejpam-1099	252	18	=	=	SYM
ejpam-1099	252	19	0	0	PROPN
ejpam-1099	252	20	,	,	PUNCT
ejpam-1099	252	21	ax	ax	NOUN
ejpam-1099	252	22	x	x	X
ejpam-1099	252	23	=	=	SYM
ejpam-1099	252	24	0	0	NUM
ejpam-1099	252	25	,	,	PUNCT
ejpam-1099	252	26	bx	bx	NOUN
ejpam-1099	252	27	x	x	PUNCT
ejpam-1099	252	28	=	=	SYM
ejpam-1099	252	29	0	0	NUM
ejpam-1099	252	30	,	,	PUNCT
ejpam-1099	252	31	f	f	PROPN
ejpam-1099	252	32	=	=	SYM
ejpam-1099	252	33	0	0	PROPN
ejpam-1099	252	34	,	,	PUNCT
ejpam-1099	252	35	g	g	NOUN
ejpam-1099	252	36	=	=	SYM
ejpam-1099	252	37	0	0	PROPN
ejpam-1099	252	38	.	.	PUNCT
ejpam-1099	253	1	the	the	DET
ejpam-1099	253	2	last	last	ADJ
ejpam-1099	253	3	two	two	NUM
ejpam-1099	253	4	equations	equation	NOUN
ejpam-1099	253	5	implies	imply	VERB
ejpam-1099	253	6	that	that	SCONJ
ejpam-1099	253	7	the	the	DET
ejpam-1099	253	8	last	last	ADJ
ejpam-1099	253	9	differential	differential	ADJ
ejpam-1099	253	10	ideal	ideal	NOUN
ejpam-1099	253	11	p	p	PROPN
ejpam-1099	253	12	i8	i8	PROPN
ejpam-1099	253	13	∩q	∩q	PROPN
ejpam-1099	253	14	{	{	PUNCT
ejpam-1099	253	15	f	f	X
ejpam-1099	253	16	,	,	PUNCT
ejpam-1099	253	17	g	g	PROPN
ejpam-1099	253	18	}	}	PUNCT
ejpam-1099	253	19	is	be	AUX
ejpam-1099	253	20	generated	generate	VERB
ejpam-1099	253	21	by	by	ADP
ejpam-1099	253	22	{	{	PUNCT
ejpam-1099	253	23	f	f	PROPN
ejpam-1099	253	24	,	,	PUNCT
ejpam-1099	253	25	g	g	PROPN
ejpam-1099	253	26	}	}	PUNCT
ejpam-1099	253	27	.	.	PUNCT
ejpam-1099	254	1	we	we	PRON
ejpam-1099	254	2	have	have	AUX
ejpam-1099	254	3	immediately	immediately	ADV
ejpam-1099	254	4	references	reference	VERB
ejpam-1099	254	5	135	135	NUM
ejpam-1099	254	6	proposition	proposition	NOUN
ejpam-1099	254	7	8	8	NUM
ejpam-1099	254	8	.	.	PUNCT
ejpam-1099	255	1	liénard	liénard	NOUN
ejpam-1099	255	2	equation	equation	NOUN
ejpam-1099	255	3	is	be	AUX
ejpam-1099	255	4	reduced	reduce	VERB
ejpam-1099	255	5	to	to	ADP
ejpam-1099	255	6	ẍ	ẍ	X
ejpam-1099	256	1	=	=	SYM
ejpam-1099	257	1	0	0	PROPN
ejpam-1099	257	2	.	.	PUNCT
ejpam-1099	258	1	the	the	DET
ejpam-1099	258	2	symmetry	symmetry	NOUN
ejpam-1099	258	3	lie	lie	NOUN
ejpam-1099	258	4	algebra	algebra	NOUN
ejpam-1099	258	5	is	be	AUX
ejpam-1099	258	6	generated	generate	VERB
ejpam-1099	258	7	by	by	ADP
ejpam-1099	258	8	the	the	DET
ejpam-1099	258	9	vector	vector	NOUN
ejpam-1099	258	10	fields	field	VERB
ejpam-1099	258	11	x1	x1	PROPN
ejpam-1099	259	1	=	=	SYM
ejpam-1099	259	2	∂	∂	NUM
ejpam-1099	259	3	∂	∂	NUM
ejpam-1099	259	4	t	t	NOUN
ejpam-1099	259	5	,	,	PUNCT
ejpam-1099	260	1	x2	x2	PROPN
ejpam-1099	260	2	=	=	SYM
ejpam-1099	260	3	∂	∂	NUM
ejpam-1099	260	4	∂	∂	NOUN
ejpam-1099	260	5	x	x	NOUN
ejpam-1099	260	6	,	,	PUNCT
ejpam-1099	260	7	x3	x3	PROPN
ejpam-1099	260	8	=	=	SYM
ejpam-1099	260	9	x	x	SYM
ejpam-1099	260	10	∂	∂	NUM
ejpam-1099	260	11	∂	∂	NOUN
ejpam-1099	260	12	x	x	NOUN
ejpam-1099	260	13	,	,	PUNCT
ejpam-1099	260	14	x4	x4	PROPN
ejpam-1099	260	15	=	=	PUNCT
ejpam-1099	260	16	x	x	SYM
ejpam-1099	260	17	∂	∂	NUM
ejpam-1099	260	18	∂	∂	NUM
ejpam-1099	260	19	t	t	NOUN
ejpam-1099	260	20	,	,	PUNCT
ejpam-1099	260	21	x5	x5	PROPN
ejpam-1099	260	22	=	=	SYM
ejpam-1099	260	23	t	t	PROPN
ejpam-1099	260	24	∂	∂	NUM
ejpam-1099	260	25	∂	∂	NUM
ejpam-1099	260	26	t	t	NOUN
ejpam-1099	260	27	.	.	PUNCT
ejpam-1099	261	1	the	the	DET
ejpam-1099	261	2	corresponding	correspond	VERB
ejpam-1099	261	3	fluxes	flux	NOUN
ejpam-1099	261	4	form	form	VERB
ejpam-1099	261	5	a	a	DET
ejpam-1099	261	6	five	five	NUM
ejpam-1099	261	7	-	-	PUNCT
ejpam-1099	261	8	parameter	parameter	NOUN
ejpam-1099	261	9	transformations	transformation	NOUN
ejpam-1099	261	10	group	group	NOUN
ejpam-1099	261	11	(	(	PUNCT
ejpam-1099	261	12	t	t	PROPN
ejpam-1099	261	13	,	,	PUNCT
ejpam-1099	261	14	x)→	x)→	PROPN
ejpam-1099	261	15	(	(	PUNCT
ejpam-1099	261	16	λt	λt	ADP
ejpam-1099	261	17	+	+	NOUN
ejpam-1099	261	18	µ+	µ+	X
ejpam-1099	261	19	εx	εx	X
ejpam-1099	261	20	,	,	PUNCT
ejpam-1099	261	21	ρx	ρx	VERB
ejpam-1099	261	22	+	+	NOUN
ejpam-1099	261	23	σ	σ	NOUN
ejpam-1099	261	24	)	)	PUNCT
ejpam-1099	261	25	.	.	PUNCT
ejpam-1099	262	1	(	(	PUNCT
ejpam-1099	262	2	λ,µ,ε	λ,µ,ε	PROPN
ejpam-1099	262	3	,	,	PUNCT
ejpam-1099	262	4	ρ	ρ	PROPN
ejpam-1099	262	5	,	,	PUNCT
ejpam-1099	262	6	σ	σ	PROPN
ejpam-1099	262	7	)	)	PUNCT
ejpam-1099	262	8	are	be	AUX
ejpam-1099	262	9	the	the	DET
ejpam-1099	262	10	group	group	NOUN
ejpam-1099	262	11	parameters	parameter	NOUN
ejpam-1099	262	12	.	.	PUNCT
ejpam-1099	263	1	acknowledgements	acknowledgement	NOUN
ejpam-1099	263	2	this	this	DET
ejpam-1099	263	3	work	work	NOUN
ejpam-1099	263	4	was	be	AUX
ejpam-1099	263	5	been	be	AUX
ejpam-1099	263	6	given	give	VERB
ejpam-1099	263	7	european	european	ADJ
ejpam-1099	263	8	financing	financing	NOUN
ejpam-1099	263	9	within	within	ADP
ejpam-1099	263	10	the	the	DET
ejpam-1099	263	11	framework	framework	NOUN
ejpam-1099	263	12	of	of	ADP
ejpam-1099	263	13	the	the	DET
ejpam-1099	263	14	program	program	NOUN
ejpam-1099	263	15	averroés	averroés	NOUN
ejpam-1099	263	16	(	(	PUNCT
ejpam-1099	263	17	erasmus	erasmus	PROPN
ejpam-1099	263	18	mundus	mundus	PROPN
ejpam-1099	263	19	)	)	PUNCT
ejpam-1099	263	20	.	.	PUNCT
ejpam-1099	264	1	references	reference	NOUN
ejpam-1099	264	2	[	[	X
ejpam-1099	264	3	1	1	NUM
ejpam-1099	264	4	]	]	X
ejpam-1099	264	5	i.m	i.m	PROPN
ejpam-1099	264	6	.	.	PROPN
ejpam-1099	264	7	anderson	anderson	PROPN
ejpam-1099	264	8	,	,	PUNCT
ejpam-1099	264	9	n.	n.	PROPN
ejpam-1099	264	10	kamran	kamran	PROPN
ejpam-1099	264	11	,	,	PUNCT
ejpam-1099	264	12	and	and	CCONJ
ejpam-1099	264	13	p.j	p.j	PROPN
ejpam-1099	264	14	.	.	PROPN
ejpam-1099	264	15	olver	olver	PROPN
ejpam-1099	264	16	.	.	PUNCT
ejpam-1099	265	1	internal	internal	ADJ
ejpam-1099	265	2	,	,	PUNCT
ejpam-1099	265	3	external	external	ADJ
ejpam-1099	265	4	,	,	PUNCT
ejpam-1099	265	5	and	and	CCONJ
ejpam-1099	265	6	generalized	generalized	ADJ
ejpam-1099	265	7	symmetries	symmetry	NOUN
ejpam-1099	265	8	.	.	PUNCT
ejpam-1099	266	1	adv	adv	PROPN
ejpam-1099	266	2	.	.	PUNCT
ejpam-1099	266	3	math	math	PROPN
ejpam-1099	266	4	.	.	PUNCT
ejpam-1099	267	1	100	100	NUM
ejpam-1099	267	2	(	(	PUNCT
ejpam-1099	267	3	1	1	NUM
ejpam-1099	267	4	)	)	PUNCT
ejpam-1099	267	5	,	,	PUNCT
ejpam-1099	267	6	53	53	NUM
ejpam-1099	267	7	-	-	SYM
ejpam-1099	267	8	100	100	NUM
ejpam-1099	267	9	(	(	PUNCT
ejpam-1099	267	10	1993	1993	NUM
ejpam-1099	267	11	)	)	PUNCT
ejpam-1099	267	12	.	.	PUNCT
ejpam-1099	268	1	[	[	X
ejpam-1099	268	2	2	2	NUM
ejpam-1099	268	3	]	]	X
ejpam-1099	268	4	g.w	g.w	PROPN
ejpam-1099	268	5	.	.	PROPN
ejpam-1099	268	6	bluman	bluman	PROPN
ejpam-1099	268	7	and	and	CCONJ
ejpam-1099	268	8	s.	s.	PROPN
ejpam-1099	268	9	kumei	kumei	PROPN
ejpam-1099	268	10	.	.	PUNCT
ejpam-1099	269	1	symmetries	symmetry	NOUN
ejpam-1099	269	2	and	and	CCONJ
ejpam-1099	269	3	differential	differential	ADJ
ejpam-1099	269	4	equations	equation	NOUN
ejpam-1099	269	5	.	.	PUNCT
ejpam-1099	270	1	vol	vol	NOUN
ejpam-1099	270	2	.	.	PROPN
ejpam-1099	271	1	81	81	NUM
ejpam-1099	271	2	of	of	ADP
ejpam-1099	271	3	applied	apply	VERB
ejpam-1099	271	4	mathematical	mathematical	ADJ
ejpam-1099	271	5	sciences	sciences	PROPN
ejpam-1099	271	6	springer	springer	NOUN
ejpam-1099	271	7	-	-	PUNCT
ejpam-1099	271	8	verlag	verlag	PROPN
ejpam-1099	271	9	,	,	PUNCT
ejpam-1099	271	10	new	new	PROPN
ejpam-1099	271	11	york	york	PROPN
ejpam-1099	271	12	(	(	PUNCT
ejpam-1099	271	13	1989	1989	NUM
ejpam-1099	271	14	)	)	PUNCT
ejpam-1099	271	15	.	.	PUNCT
ejpam-1099	272	1	[	[	X
ejpam-1099	272	2	3	3	X
ejpam-1099	272	3	]	]	X
ejpam-1099	272	4	f.	f.	NOUN
ejpam-1099	272	5	boulier	boulier	PROPN
ejpam-1099	272	6	,	,	PUNCT
ejpam-1099	272	7	d.	d.	PROPN
ejpam-1099	272	8	lazard	lazard	PROPN
ejpam-1099	272	9	,	,	PUNCT
ejpam-1099	272	10	f.	f.	PROPN
ejpam-1099	272	11	ollivier	ollivier	PROPN
ejpam-1099	272	12	,	,	PUNCT
ejpam-1099	272	13	and	and	CCONJ
ejpam-1099	272	14	m.	m.	NOUN
ejpam-1099	272	15	petitot	petitot	PROPN
ejpam-1099	272	16	.	.	PUNCT
ejpam-1099	273	1	representation	representation	NOUN
ejpam-1099	273	2	for	for	ADP
ejpam-1099	273	3	the	the	DET
ejpam-1099	273	4	radical	radical	NOUN
ejpam-1099	273	5	of	of	ADP
ejpam-1099	273	6	a	a	DET
ejpam-1099	273	7	finitely	finitely	ADV
ejpam-1099	273	8	generated	generate	VERB
ejpam-1099	273	9	differential	differential	ADJ
ejpam-1099	273	10	ideal	ideal	NOUN
ejpam-1099	273	11	.	.	PUNCT
ejpam-1099	274	1	in	in	ADP
ejpam-1099	274	2	:	:	PUNCT
ejpam-1099	274	3	proceedings	proceeding	NOUN
ejpam-1099	274	4	of	of	ADP
ejpam-1099	274	5	issacâăź95	issacâăź95	PROPN
ejpam-1099	274	6	.	.	PUNCT
ejpam-1099	274	7	montréal	montréal	PROPN
ejpam-1099	274	8	,	,	PUNCT
ejpam-1099	274	9	canada	canada	PROPN
ejpam-1099	274	10	,	,	PUNCT
ejpam-1099	274	11	pp	pp	X
ejpam-1099	274	12	.	.	PUNCT
ejpam-1099	275	1	158	158	NUM
ejpam-1099	275	2	-	-	SYM
ejpam-1099	275	3	166	166	NUM
ejpam-1099	275	4	(	(	PUNCT
ejpam-1099	275	5	1995	1995	NUM
ejpam-1099	275	6	)	)	PUNCT
ejpam-1099	275	7	.	.	PUNCT
ejpam-1099	276	1	[	[	X
ejpam-1099	276	2	4	4	NUM
ejpam-1099	276	3	]	]	X
ejpam-1099	276	4	r.	r.	PROPN
ejpam-1099	276	5	fitzhugh	fitzhugh	PROPN
ejpam-1099	276	6	.	.	PUNCT
ejpam-1099	276	7	impulses	impulse	NOUN
ejpam-1099	276	8	and	and	CCONJ
ejpam-1099	276	9	physiological	physiological	NOUN
ejpam-1099	276	10	in	in	ADP
ejpam-1099	276	11	theoretical	theoretical	ADJ
ejpam-1099	276	12	models	model	NOUN
ejpam-1099	276	13	of	of	ADP
ejpam-1099	276	14	nerve	nerve	NOUN
ejpam-1099	276	15	membranes	membrane	NOUN
ejpam-1099	276	16	.	.	PUNCT
ejpam-1099	277	1	biophysics	biophysic	NOUN
ejpam-1099	277	2	journal	journal	NOUN
ejpam-1099	277	3	1	1	NUM
ejpam-1099	277	4	,	,	PUNCT
ejpam-1099	277	5	445	445	NUM
ejpam-1099	277	6	-	-	SYM
ejpam-1099	277	7	466	466	NUM
ejpam-1099	277	8	(	(	PUNCT
ejpam-1099	277	9	1961	1961	NUM
ejpam-1099	277	10	)	)	PUNCT
ejpam-1099	277	11	.	.	PUNCT
ejpam-1099	278	1	[	[	X
ejpam-1099	278	2	5	5	X
ejpam-1099	278	3	]	]	PUNCT
ejpam-1099	278	4	h.	h.	PROPN
ejpam-1099	278	5	giacomini	giacomini	PROPN
ejpam-1099	278	6	and	and	CCONJ
ejpam-1099	278	7	s.	s.	PROPN
ejpam-1099	278	8	neukirch	neukirch	PROPN
ejpam-1099	278	9	.	.	PUNCT
ejpam-1099	279	1	number	number	NOUN
ejpam-1099	279	2	of	of	ADP
ejpam-1099	279	3	limit	limit	NOUN
ejpam-1099	279	4	cycles	cycle	NOUN
ejpam-1099	279	5	of	of	ADP
ejpam-1099	279	6	the	the	DET
ejpam-1099	279	7	lieénard	lieénard	NOUN
ejpam-1099	279	8	equation	equation	NOUN
ejpam-1099	279	9	.	.	PUNCT
ejpam-1099	280	1	physical	physical	ADJ
ejpam-1099	280	2	review	review	PROPN
ejpam-1099	280	3	e	e	NOUN
ejpam-1099	280	4	,	,	PUNCT
ejpam-1099	280	5	56(4	56(4	NOUN
ejpam-1099	280	6	)	)	PUNCT
ejpam-1099	280	7	,	,	PUNCT
ejpam-1099	280	8	(	(	PUNCT
ejpam-1099	280	9	1997	1997	NUM
ejpam-1099	280	10	)	)	PUNCT
ejpam-1099	280	11	.	.	PUNCT
ejpam-1099	281	1	[	[	X
ejpam-1099	281	2	6	6	NUM
ejpam-1099	281	3	]	]	PUNCT
ejpam-1099	281	4	g.	g.	PROPN
ejpam-1099	281	5	joanna	joanna	PROPN
ejpam-1099	281	6	.	.	PUNCT
ejpam-1099	282	1	lie	lie	PROPN
ejpam-1099	282	2	symmetry	symmetry	NOUN
ejpam-1099	282	3	methods	method	NOUN
ejpam-1099	282	4	in	in	ADP
ejpam-1099	282	5	finance	finance	NOUN
ejpam-1099	282	6	an	an	DET
ejpam-1099	282	7	example	example	NOUN
ejpam-1099	282	8	of	of	ADP
ejpam-1099	282	9	the	the	DET
ejpam-1099	282	10	bond	bond	NOUN
ejpam-1099	282	11	pricing	pricing	NOUN
ejpam-1099	282	12	equation	equation	NOUN
ejpam-1099	282	13	.	.	PUNCT
ejpam-1099	283	1	proceedings	proceeding	NOUN
ejpam-1099	283	2	of	of	ADP
ejpam-1099	283	3	the	the	DET
ejpam-1099	283	4	world	world	NOUN
ejpam-1099	283	5	congress	congress	PROPN
ejpam-1099	283	6	on	on	ADP
ejpam-1099	283	7	engineering	engineering	PROPN
ejpam-1099	283	8	vol	vol	PROPN
ejpam-1099	283	9	ii	ii	PROPN
ejpam-1099	283	10	,	,	PUNCT
ejpam-1099	283	11	london	london	PROPN
ejpam-1099	283	12	,	,	PUNCT
ejpam-1099	283	13	u.k	u.k	PROPN
ejpam-1099	283	14	(	(	PUNCT
ejpam-1099	283	15	2008	2008	NUM
ejpam-1099	283	16	)	)	PUNCT
ejpam-1099	283	17	.	.	PUNCT
ejpam-1099	284	1	[	[	X
ejpam-1099	284	2	7	7	X
ejpam-1099	284	3	]	]	X
ejpam-1099	284	4	e.r	e.r	PROPN
ejpam-1099	284	5	.	.	PROPN
ejpam-1099	284	6	kolchin	kolchin	PROPN
ejpam-1099	284	7	.	.	PUNCT
ejpam-1099	285	1	differential	differential	ADJ
ejpam-1099	285	2	algebra	algebra	PROPN
ejpam-1099	285	3	and	and	CCONJ
ejpam-1099	285	4	algebraic	algebraic	ADJ
ejpam-1099	285	5	groups	group	NOUN
ejpam-1099	285	6	.	.	PUNCT
ejpam-1099	286	1	academic	academic	ADJ
ejpam-1099	286	2	press	press	NOUN
ejpam-1099	286	3	,	,	PUNCT
ejpam-1099	286	4	new	new	PROPN
ejpam-1099	286	5	york	york	PROPN
ejpam-1099	286	6	,	,	PUNCT
ejpam-1099	286	7	pure	pure	ADJ
ejpam-1099	286	8	and	and	CCONJ
ejpam-1099	286	9	applied	applied	ADJ
ejpam-1099	286	10	mathematics	mathematic	NOUN
ejpam-1099	286	11	,	,	PUNCT
ejpam-1099	286	12	54	54	NUM
ejpam-1099	286	13	(	(	PUNCT
ejpam-1099	286	14	1973	1973	NUM
ejpam-1099	286	15	)	)	PUNCT
ejpam-1099	286	16	.	.	PUNCT
ejpam-1099	287	1	[	[	X
ejpam-1099	287	2	8	8	X
ejpam-1099	287	3	]	]	X
ejpam-1099	287	4	j.	j.	PROPN
ejpam-1099	287	5	nagumo	nagumo	PROPN
ejpam-1099	287	6	,	,	PUNCT
ejpam-1099	287	7	s.	s.	PROPN
ejpam-1099	287	8	arimoto	arimoto	PROPN
ejpam-1099	287	9	,	,	PUNCT
ejpam-1099	287	10	and	and	CCONJ
ejpam-1099	287	11	s.	s.	PROPN
ejpam-1099	287	12	yoshizawa	yoshizawa	PROPN
ejpam-1099	287	13	.	.	PUNCT
ejpam-1099	288	1	an	an	DET
ejpam-1099	288	2	active	active	ADJ
ejpam-1099	288	3	pulse	pulse	NOUN
ejpam-1099	288	4	transmission	transmission	NOUN
ejpam-1099	288	5	line	line	NOUN
ejpam-1099	288	6	simulating	simulate	VERB
ejpam-1099	288	7	nerve	nerve	NOUN
ejpam-1099	288	8	axon	axon	NOUN
ejpam-1099	288	9	.	.	PUNCT
ejpam-1099	289	1	in	in	ADP
ejpam-1099	289	2	:	:	PUNCT
ejpam-1099	289	3	proceedings	proceeding	NOUN
ejpam-1099	289	4	of	of	ADP
ejpam-1099	289	5	the	the	DET
ejpam-1099	289	6	institute	institute	PROPN
ejpam-1099	289	7	of	of	ADP
ejpam-1099	289	8	radio	radio	NOUN
ejpam-1099	289	9	engineers	engineer	NOUN
ejpam-1099	289	10	.	.	PUNCT
ejpam-1099	289	11	vol	vol	NOUN
ejpam-1099	289	12	.	.	PROPN
ejpam-1099	290	1	50	50	NUM
ejpam-1099	290	2	.	.	PUNCT
ejpam-1099	291	1	pp	pp	ADJ
ejpam-1099	291	2	.	.	PUNCT
ejpam-1099	292	1	2061	2061	NUM
ejpam-1099	292	2	-	-	SYM
ejpam-1099	292	3	2070	2070	NUM
ejpam-1099	292	4	(	(	PUNCT
ejpam-1099	292	5	1962	1962	NUM
ejpam-1099	292	6	)	)	PUNCT
ejpam-1099	292	7	.	.	PUNCT
ejpam-1099	293	1	references	reference	NOUN
ejpam-1099	293	2	136	136	NUM
ejpam-1099	293	3	[	[	X
ejpam-1099	293	4	9	9	NUM
ejpam-1099	293	5	]	]	X
ejpam-1099	293	6	b.	b.	PROPN
ejpam-1099	293	7	van	van	PROPN
ejpam-1099	293	8	der	der	PROPN
ejpam-1099	293	9	pol	pol	PROPN
ejpam-1099	293	10	and	and	CCONJ
ejpam-1099	293	11	j.	j.	PROPN
ejpam-1099	293	12	van	van	PROPN
ejpam-1099	293	13	der	der	PROPN
ejpam-1099	293	14	mark	mark	VERB
ejpam-1099	293	15	.	.	PUNCT
ejpam-1099	294	1	the	the	DET
ejpam-1099	294	2	heartbeat	heartbeat	NOUN
ejpam-1099	294	3	considered	consider	VERB
ejpam-1099	294	4	as	as	ADP
ejpam-1099	294	5	a	a	DET
ejpam-1099	294	6	relaxation	relaxation	NOUN
ejpam-1099	294	7	oscillation	oscillation	NOUN
ejpam-1099	294	8	,	,	PUNCT
ejpam-1099	294	9	and	and	CCONJ
ejpam-1099	294	10	an	an	DET
ejpam-1099	294	11	electrical	electrical	ADJ
ejpam-1099	294	12	model	model	NOUN
ejpam-1099	294	13	of	of	ADP
ejpam-1099	294	14	the	the	DET
ejpam-1099	294	15	heart	heart	NOUN
ejpam-1099	294	16	.	.	PUNCT
ejpam-1099	295	1	the	the	DET
ejpam-1099	295	2	london	london	PROPN
ejpam-1099	295	3	,	,	PUNCT
ejpam-1099	295	4	edinburgh	edinburgh	PROPN
ejpam-1099	295	5	,	,	PUNCT
ejpam-1099	295	6	and	and	CCONJ
ejpam-1099	295	7	dublin	dublin	PROPN
ejpam-1099	295	8	philosophical	philosophical	PROPN
ejpam-1099	295	9	magazine	magazine	NOUN
ejpam-1099	295	10	and	and	CCONJ
ejpam-1099	295	11	journal	journal	NOUN
ejpam-1099	295	12	of	of	ADP
ejpam-1099	295	13	science	science	NOUN
ejpam-1099	295	14	,	,	PUNCT
ejpam-1099	295	15	series	series	NOUN
ejpam-1099	295	16	7	7	NUM
ejpam-1099	295	17	6	6	NUM
ejpam-1099	295	18	,	,	PUNCT
ejpam-1099	295	19	763	763	NUM
ejpam-1099	295	20	-	-	SYM
ejpam-1099	295	21	775	775	NUM
ejpam-1099	295	22	(	(	PUNCT
ejpam-1099	295	23	1928	1928	NUM
ejpam-1099	295	24	)	)	PUNCT
ejpam-1099	295	25	.	.	PUNCT
ejpam-1099	296	1	[	[	X
ejpam-1099	296	2	10	10	NUM
ejpam-1099	296	3	]	]	X
ejpam-1099	296	4	h.	h.	PROPN
ejpam-1099	296	5	zeghdoudi	zeghdoudi	PROPN
ejpam-1099	296	6	,	,	PUNCT
ejpam-1099	296	7	r.	r.	PROPN
ejpam-1099	296	8	dridi	dridi	PROPN
ejpam-1099	296	9	,	,	PUNCT
ejpam-1099	296	10	r.m	r.m	PROPN
ejpam-1099	296	11	.	.	PROPN
ejpam-1099	296	12	remita	remita	PROPN
ejpam-1099	296	13	,	,	PUNCT
ejpam-1099	296	14	and	and	CCONJ
ejpam-1099	296	15	l.	l.	PROPN
ejpam-1099	296	16	bouchahed	bouchahe	VERB
ejpam-1099	296	17	.	.	PUNCT
ejpam-1099	297	1	around	around	ADP
ejpam-1099	297	2	complete	complete	ADJ
ejpam-1099	297	3	classification	classification	NOUN
ejpam-1099	297	4	of	of	ADP
ejpam-1099	297	5	liénard	liénard	ADJ
ejpam-1099	297	6	equation	equation	NOUN
ejpam-1099	297	7	and	and	CCONJ
ejpam-1099	297	8	application	application	NOUN
ejpam-1099	297	9	.	.	PUNCT
ejpam-1099	298	1	international	international	ADJ
ejpam-1099	298	2	journal	journal	NOUN
ejpam-1099	298	3	of	of	ADP
ejpam-1099	298	4	pure	pure	ADJ
ejpam-1099	298	5	and	and	CCONJ
ejpam-1099	298	6	applied	applied	ADJ
ejpam-1099	298	7	mathematics	mathematic	NOUN
ejpam-1099	298	8	,	,	PUNCT
ejpam-1099	298	9	82(3	82(3	NUM
ejpam-1099	298	10	)	)	PUNCT
ejpam-1099	298	11	,	,	PUNCT
ejpam-1099	298	12	441	441	NUM
ejpam-1099	298	13	-	-	SYM
ejpam-1099	298	14	454	454	NUM
ejpam-1099	298	15	(	(	PUNCT
ejpam-1099	298	16	2013	2013	NUM
ejpam-1099	298	17	)	)	PUNCT
ejpam-1099	298	18	.	.	PUNCT