id	sid	tid	token	lemma	pos
ejpam-3067	1	1	european	european	PROPN
ejpam-3067	1	2	journal	journal	PROPN
ejpam-3067	1	3	of	of	ADP
ejpam-3067	1	4	pure	pure	ADJ
ejpam-3067	1	5	and	and	CCONJ
ejpam-3067	1	6	applied	apply	VERB
ejpam-3067	1	7	mathematics	mathematic	NOUN
ejpam-3067	1	8	vol	vol	NOUN
ejpam-3067	1	9	.	.	PROPN
ejpam-3067	2	1	10	10	NUM
ejpam-3067	2	2	,	,	PUNCT
ejpam-3067	2	3	no	no	INTJ
ejpam-3067	2	4	.	.	NOUN
ejpam-3067	2	5	4	4	NUM
ejpam-3067	2	6	,	,	PUNCT
ejpam-3067	2	7	2017	2017	NUM
ejpam-3067	2	8	,	,	PUNCT
ejpam-3067	2	9	858	858	NUM
ejpam-3067	2	10	-	-	SYM
ejpam-3067	2	11	870	870	NUM
ejpam-3067	2	12	issn	issn	PROPN
ejpam-3067	2	13	1307	1307	NUM
ejpam-3067	2	14	-	-	SYM
ejpam-3067	2	15	5543	5543	NUM
ejpam-3067	2	16	–	–	PUNCT
ejpam-3067	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3067	2	18	published	publish	VERB
ejpam-3067	2	19	by	by	ADP
ejpam-3067	2	20	new	new	PROPN
ejpam-3067	2	21	york	york	PROPN
ejpam-3067	2	22	business	business	PROPN
ejpam-3067	2	23	global	global	ADJ
ejpam-3067	2	24	new	new	ADJ
ejpam-3067	2	25	derived	derive	VERB
ejpam-3067	2	26	systems	system	NOUN
ejpam-3067	2	27	of	of	ADP
ejpam-3067	2	28	hide	hide	NOUN
ejpam-3067	2	29	’s	’s	PART
ejpam-3067	2	30	coupled	couple	VERB
ejpam-3067	2	31	dynamo	dynamo	PROPN
ejpam-3067	2	32	model	model	PROPN
ejpam-3067	2	33	ali	ali	PROPN
ejpam-3067	2	34	allahem	allahem	PROPN
ejpam-3067	2	35	department	department	PROPN
ejpam-3067	2	36	of	of	ADP
ejpam-3067	2	37	mathematics	mathematics	PROPN
ejpam-3067	2	38	,	,	PUNCT
ejpam-3067	2	39	college	college	NOUN
ejpam-3067	2	40	of	of	ADP
ejpam-3067	2	41	sciences	sciences	PROPN
ejpam-3067	2	42	,	,	PUNCT
ejpam-3067	2	43	qassim	qassim	PROPN
ejpam-3067	2	44	university	university	PROPN
ejpam-3067	2	45	,	,	PUNCT
ejpam-3067	2	46	saudi	saudi	PROPN
ejpam-3067	2	47	arabia	arabia	PROPN
ejpam-3067	2	48	abstract	abstract	NOUN
ejpam-3067	2	49	.	.	PUNCT
ejpam-3067	3	1	in	in	ADP
ejpam-3067	3	2	this	this	DET
ejpam-3067	3	3	paper	paper	NOUN
ejpam-3067	3	4	,	,	PUNCT
ejpam-3067	3	5	we	we	PRON
ejpam-3067	3	6	present	present	VERB
ejpam-3067	3	7	the	the	DET
ejpam-3067	3	8	results	result	NOUN
ejpam-3067	3	9	of	of	ADP
ejpam-3067	3	10	a	a	DET
ejpam-3067	3	11	preliminary	preliminary	ADJ
ejpam-3067	3	12	analytical	analytical	ADJ
ejpam-3067	3	13	and	and	CCONJ
ejpam-3067	3	14	numerical	numerical	ADJ
ejpam-3067	3	15	study	study	NOUN
ejpam-3067	3	16	of	of	ADP
ejpam-3067	3	17	new	new	ADJ
ejpam-3067	3	18	derived	derive	VERB
ejpam-3067	3	19	system	system	NOUN
ejpam-3067	3	20	of	of	ADP
ejpam-3067	3	21	single	single	ADJ
ejpam-3067	3	22	and	and	CCONJ
ejpam-3067	3	23	double	double	ADJ
ejpam-3067	3	24	coupled	couple	VERB
ejpam-3067	3	25	self	self	NOUN
ejpam-3067	3	26	-	-	PUNCT
ejpam-3067	3	27	exciting	exciting	ADJ
ejpam-3067	3	28	faraday	faraday	PROPN
ejpam-3067	3	29	disk	disk	NOUN
ejpam-3067	3	30	homopolar	homopolar	PROPN
ejpam-3067	3	31	dynamos	dynamos	NOUN
ejpam-3067	3	32	by	by	ADP
ejpam-3067	3	33	hide	hide	VERB
ejpam-3067	3	34	et	et	PROPN
ejpam-3067	3	35	al	al	PROPN
ejpam-3067	4	1	[	[	X
ejpam-3067	4	2	3	3	NUM
ejpam-3067	4	3	,	,	PUNCT
ejpam-3067	4	4	7	7	NUM
ejpam-3067	4	5	]	]	PUNCT
ejpam-3067	4	6	.	.	PUNCT
ejpam-3067	5	1	also	also	ADV
ejpam-3067	5	2	,	,	PUNCT
ejpam-3067	5	3	well	well	ADV
ejpam-3067	5	4	-	-	PUNCT
ejpam-3067	5	5	known	know	VERB
ejpam-3067	5	6	systems	system	NOUN
ejpam-3067	5	7	including	include	VERB
ejpam-3067	5	8	,	,	PUNCT
ejpam-3067	5	9	rikitake	rikitake	NOUN
ejpam-3067	5	10	and	and	CCONJ
ejpam-3067	5	11	bullard	bullard	NOUN
ejpam-3067	5	12	systems	system	NOUN
ejpam-3067	5	13	have	have	AUX
ejpam-3067	5	14	been	be	AUX
ejpam-3067	5	15	reached	reach	VERB
ejpam-3067	5	16	by	by	ADP
ejpam-3067	5	17	using	use	VERB
ejpam-3067	5	18	tikhonov	tikhonov	NOUN
ejpam-3067	5	19	theorem	theorem	VERB
ejpam-3067	5	20	[	[	X
ejpam-3067	5	21	6	6	NUM
ejpam-3067	5	22	,	,	PUNCT
ejpam-3067	5	23	10	10	NUM
ejpam-3067	5	24	]	]	PUNCT
ejpam-3067	5	25	and	and	CCONJ
ejpam-3067	5	26	eliminating	eliminate	VERB
ejpam-3067	5	27	method	method	NOUN
ejpam-3067	5	28	.	.	PUNCT
ejpam-3067	6	1	2010	2010	NUM
ejpam-3067	6	2	mathematics	mathematic	NOUN
ejpam-3067	6	3	subject	subject	NOUN
ejpam-3067	6	4	classifications	classification	NOUN
ejpam-3067	6	5	:	:	PUNCT
ejpam-3067	6	6	37c45	37c45	NUM
ejpam-3067	6	7	,	,	PUNCT
ejpam-3067	6	8	37c25	37c25	NUM
ejpam-3067	6	9	key	key	ADJ
ejpam-3067	6	10	words	word	NOUN
ejpam-3067	6	11	and	and	CCONJ
ejpam-3067	6	12	phrases	phrase	NOUN
ejpam-3067	6	13	:	:	PUNCT
ejpam-3067	6	14	dynamo	dynamo	NOUN
ejpam-3067	6	15	model	model	NOUN
ejpam-3067	6	16	,	,	PUNCT
ejpam-3067	6	17	dynamical	dynamical	ADJ
ejpam-3067	6	18	system	system	NOUN
ejpam-3067	6	19	,	,	PUNCT
ejpam-3067	6	20	bifurcations	bifurcation	NOUN
ejpam-3067	6	21	,	,	PUNCT
ejpam-3067	6	22	tikhonov	tikhonov	NOUN
ejpam-3067	6	23	’s	’s	PART
ejpam-3067	6	24	theorem	theorem	ADJ
ejpam-3067	6	25	,	,	PUNCT
ejpam-3067	6	26	stability	stability	NOUN
ejpam-3067	6	27	1	1	NUM
ejpam-3067	6	28	.	.	PUNCT
ejpam-3067	7	1	introduction	introduction	NOUN
ejpam-3067	7	2	hide	hide	VERB
ejpam-3067	7	3	et	et	NOUN
ejpam-3067	7	4	al	al	PROPN
ejpam-3067	8	1	[	[	X
ejpam-3067	8	2	3	3	X
ejpam-3067	8	3	]	]	PUNCT
ejpam-3067	8	4	have	have	AUX
ejpam-3067	8	5	studied	study	VERB
ejpam-3067	8	6	the	the	DET
ejpam-3067	8	7	novel	novel	ADJ
ejpam-3067	8	8	autonomous	autonomous	ADJ
ejpam-3067	8	9	sets	set	NOUN
ejpam-3067	8	10	of	of	ADP
ejpam-3067	8	11	dimensionless	dimensionless	NOUN
ejpam-3067	8	12	nonlinear	nonlinear	ADJ
ejpam-3067	8	13	ordinary	ordinary	ADJ
ejpam-3067	8	14	differential	differential	ADJ
ejpam-3067	8	15	equations	equation	NOUN
ejpam-3067	8	16	(	(	PUNCT
ejpam-3067	8	17	odes	ode	VERB
ejpam-3067	8	18	)	)	PUNCT
ejpam-3067	8	19	ẋ	ẋ	PUNCT
ejpam-3067	9	1	=	=	PUNCT
ejpam-3067	9	2	x(y	x(y	PROPN
ejpam-3067	10	1	−	−	PROPN
ejpam-3067	10	2	1)−	1)−	NUM
ejpam-3067	10	3	βz	βz	NOUN
ejpam-3067	10	4	,	,	PUNCT
ejpam-3067	10	5	ẏ	ẏ	PROPN
ejpam-3067	10	6	=	=	SYM
ejpam-3067	10	7	α(1−	α(1−	PROPN
ejpam-3067	11	1	x2)−	x2)−	PROPN
ejpam-3067	11	2	κy	κy	PROPN
ejpam-3067	11	3	,	,	PUNCT
ejpam-3067	11	4	ż	ż	NOUN
ejpam-3067	11	5	=	=	PUNCT
ejpam-3067	11	6	x−	x−	PROPN
ejpam-3067	12	1	λz	λz	PROPN
ejpam-3067	12	2	,	,	PUNCT
ejpam-3067	12	3	where	where	SCONJ
ejpam-3067	12	4	ẋ	ẋ	PROPN
ejpam-3067	12	5	=	=	SYM
ejpam-3067	12	6	dx	dx	PROPN
ejpam-3067	12	7	/	/	SYM
ejpam-3067	12	8	dτ	dτ	PROPN
ejpam-3067	12	9	,	,	PUNCT
ejpam-3067	12	10	etc	etc	X
ejpam-3067	12	11	.	.	X
ejpam-3067	13	1	(	(	PUNCT
ejpam-3067	13	2	1	1	X
ejpam-3067	13	3	)	)	PUNCT
ejpam-3067	13	4	these	these	DET
ejpam-3067	13	5	equations	equation	NOUN
ejpam-3067	13	6	govern	govern	VERB
ejpam-3067	13	7	the	the	DET
ejpam-3067	13	8	behaviour	behaviour	NOUN
ejpam-3067	13	9	of	of	ADP
ejpam-3067	13	10	self	self	NOUN
ejpam-3067	13	11	-	-	PUNCT
ejpam-3067	13	12	exciting	exciting	ADJ
ejpam-3067	13	13	homopolar	homopolar	ADJ
ejpam-3067	13	14	dynamo	dynamo	NOUN
ejpam-3067	13	15	system	system	NOUN
ejpam-3067	13	16	.	.	PUNCT
ejpam-3067	14	1	the	the	DET
ejpam-3067	14	2	independent	independent	ADJ
ejpam-3067	14	3	variable	variable	NOUN
ejpam-3067	14	4	τ	τ	PROPN
ejpam-3067	14	5	denotes	denote	NOUN
ejpam-3067	14	6	time	time	NOUN
ejpam-3067	14	7	t.	t.	PROPN
ejpam-3067	14	8	the	the	DET
ejpam-3067	14	9	dependent	dependent	ADJ
ejpam-3067	14	10	variables	variable	NOUN
ejpam-3067	14	11	are	be	AUX
ejpam-3067	14	12	x(τ	x(τ	PROPN
ejpam-3067	14	13	)	)	PUNCT
ejpam-3067	14	14	,	,	PUNCT
ejpam-3067	14	15	y(τ	y(τ	PROPN
ejpam-3067	14	16	)	)	PUNCT
ejpam-3067	14	17	and	and	CCONJ
ejpam-3067	14	18	z(τ	z(τ	NUM
ejpam-3067	14	19	)	)	PUNCT
ejpam-3067	14	20	such	such	ADJ
ejpam-3067	14	21	that	that	SCONJ
ejpam-3067	14	22	x(τ	x(τ	PROPN
ejpam-3067	14	23	)	)	PUNCT
ejpam-3067	15	1	is	be	AUX
ejpam-3067	15	2	the	the	DET
ejpam-3067	15	3	rescaled	rescaled	ADJ
ejpam-3067	15	4	electric	electric	ADJ
ejpam-3067	15	5	current	current	NOUN
ejpam-3067	15	6	in	in	ADP
ejpam-3067	15	7	the	the	DET
ejpam-3067	15	8	dynamo	dynamo	NOUN
ejpam-3067	15	9	,	,	PUNCT
ejpam-3067	15	10	y(τ	y(τ	PROPN
ejpam-3067	15	11	)	)	PUNCT
ejpam-3067	15	12	is	be	AUX
ejpam-3067	15	13	the	the	DET
ejpam-3067	15	14	angular	angular	ADJ
ejpam-3067	15	15	rotation	rotation	NOUN
ejpam-3067	15	16	rate	rate	NOUN
ejpam-3067	15	17	of	of	ADP
ejpam-3067	15	18	the	the	DET
ejpam-3067	15	19	disk	disk	NOUN
ejpam-3067	15	20	and	and	CCONJ
ejpam-3067	15	21	z(τ	z(τ	NOUN
ejpam-3067	15	22	)	)	PUNCT
ejpam-3067	15	23	measures	measure	VERB
ejpam-3067	15	24	the	the	DET
ejpam-3067	15	25	angular	angular	ADJ
ejpam-3067	15	26	speed	speed	NOUN
ejpam-3067	15	27	of	of	ADP
ejpam-3067	15	28	rotation	rotation	NOUN
ejpam-3067	15	29	of	of	ADP
ejpam-3067	15	30	the	the	DET
ejpam-3067	15	31	motor	motor	NOUN
ejpam-3067	15	32	.	.	PUNCT
ejpam-3067	16	1	also	also	ADV
ejpam-3067	16	2	,	,	PUNCT
ejpam-3067	16	3	we	we	PRON
ejpam-3067	16	4	have	have	VERB
ejpam-3067	16	5	four	four	NUM
ejpam-3067	16	6	parameters	parameter	NOUN
ejpam-3067	16	7	(	(	PUNCT
ejpam-3067	16	8	α	α	NOUN
ejpam-3067	16	9	,	,	PUNCT
ejpam-3067	16	10	β	β	X
ejpam-3067	16	11	,	,	PUNCT
ejpam-3067	16	12	κ	κ	NOUN
ejpam-3067	16	13	,	,	PUNCT
ejpam-3067	16	14	λ	λ	NOUN
ejpam-3067	16	15	)	)	PUNCT
ejpam-3067	16	16	which	which	PRON
ejpam-3067	16	17	are	be	AUX
ejpam-3067	16	18	the	the	DET
ejpam-3067	16	19	system	system	NOUN
ejpam-3067	16	20	dependents	dependent	NOUN
ejpam-3067	16	21	on	on	ADP
ejpam-3067	16	22	.	.	PUNCT
ejpam-3067	17	1	these	these	DET
ejpam-3067	17	2	four	four	NUM
ejpam-3067	17	3	parameters	parameter	NOUN
ejpam-3067	17	4	must	must	AUX
ejpam-3067	17	5	be	be	AUX
ejpam-3067	17	6	positive	positive	ADJ
ejpam-3067	17	7	because	because	SCONJ
ejpam-3067	17	8	they	they	PRON
ejpam-3067	17	9	are	be	AUX
ejpam-3067	17	10	physically	physically	ADV
ejpam-3067	17	11	unrealistic	unrealistic	ADJ
ejpam-3067	17	12	otherwise	otherwise	ADV
ejpam-3067	17	13	.	.	PUNCT
ejpam-3067	18	1	parameters	parameter	NOUN
ejpam-3067	18	2	represent	represent	VERB
ejpam-3067	18	3	where	where	SCONJ
ejpam-3067	18	4	α	α	PROPN
ejpam-3067	18	5	measures	measure	VERB
ejpam-3067	18	6	the	the	DET
ejpam-3067	18	7	applied	applied	ADJ
ejpam-3067	18	8	couple	couple	NOUN
ejpam-3067	18	9	;	;	PUNCT
ejpam-3067	18	10	β	β	X
ejpam-3067	18	11	measures	measure	VERB
ejpam-3067	18	12	the	the	DET
ejpam-3067	18	13	inverse	inverse	ADJ
ejpam-3067	18	14	moment	moment	NOUN
ejpam-3067	18	15	of	of	ADP
ejpam-3067	18	16	inertia	inertia	NOUN
ejpam-3067	18	17	of	of	ADP
ejpam-3067	18	18	the	the	DET
ejpam-3067	18	19	armature	armature	NOUN
ejpam-3067	18	20	;	;	PUNCT
ejpam-3067	18	21	κ	κ	NOUN
ejpam-3067	18	22	measures	measure	NOUN
ejpam-3067	18	23	the	the	DET
ejpam-3067	18	24	mechanical	mechanical	ADJ
ejpam-3067	18	25	friction	friction	NOUN
ejpam-3067	18	26	in	in	ADP
ejpam-3067	18	27	the	the	DET
ejpam-3067	18	28	disk	disk	NOUN
ejpam-3067	18	29	and	and	CCONJ
ejpam-3067	18	30	λ	λ	NOUN
ejpam-3067	18	31	measures	measure	NOUN
ejpam-3067	18	32	the	the	DET
ejpam-3067	18	33	mechanical	mechanical	ADJ
ejpam-3067	18	34	friction	friction	NOUN
ejpam-3067	18	35	in	in	ADP
ejpam-3067	18	36	the	the	DET
ejpam-3067	18	37	motor	motor	NOUN
ejpam-3067	18	38	.	.	PUNCT
ejpam-3067	19	1	hide	hide	VERB
ejpam-3067	19	2	[	[	X
ejpam-3067	19	3	7	7	NUM
ejpam-3067	19	4	]	]	PUNCT
ejpam-3067	19	5	has	have	AUX
ejpam-3067	19	6	introduced	introduce	VERB
ejpam-3067	19	7	a	a	DET
ejpam-3067	19	8	system	system	NOUN
ejpam-3067	19	9	of	of	ADP
ejpam-3067	19	10	n	n	DET
ejpam-3067	19	11	self	self	NOUN
ejpam-3067	19	12	-	-	PUNCT
ejpam-3067	19	13	exciting	exciting	ADJ
ejpam-3067	19	14	faraday	faraday	PROPN
ejpam-3067	19	15	disk	disk	NOUN
ejpam-3067	19	16	homopolar	homopolar	PROPN
ejpam-3067	19	17	dynamos	dynamos	PROPN
ejpam-3067	19	18	,	,	PUNCT
ejpam-3067	19	19	symmetrically	symmetrically	ADV
ejpam-3067	19	20	coupled	couple	VERB
ejpam-3067	19	21	,	,	PUNCT
ejpam-3067	19	22	arranged	arrange	VERB
ejpam-3067	19	23	in	in	ADP
ejpam-3067	19	24	a	a	DET
ejpam-3067	19	25	ring	ring	NOUN
ejpam-3067	19	26	.	.	PUNCT
ejpam-3067	20	1	each	each	DET
ejpam-3067	20	2	unit	unit	NOUN
ejpam-3067	20	3	has	have	VERB
ejpam-3067	20	4	an	an	DET
ejpam-3067	20	5	electric	electric	ADJ
ejpam-3067	20	6	motor	motor	NOUN
ejpam-3067	20	7	and	and	CCONJ
ejpam-3067	20	8	is	be	AUX
ejpam-3067	20	9	connected	connect	VERB
ejpam-3067	20	10	in	in	ADP
ejpam-3067	20	11	series	series	NOUN
ejpam-3067	20	12	with	with	ADP
ejpam-3067	20	13	a	a	DET
ejpam-3067	20	14	coil	coil	NOUN
ejpam-3067	20	15	and	and	CCONJ
ejpam-3067	20	16	a	a	DET
ejpam-3067	20	17	disk	disk	NOUN
ejpam-3067	20	18	,	,	PUNCT
ejpam-3067	20	19	being	be	AUX
ejpam-3067	20	20	driven	drive	VERB
ejpam-3067	20	21	into	into	ADP
ejpam-3067	20	22	motion	motion	NOUN
ejpam-3067	20	23	by	by	ADP
ejpam-3067	20	24	the	the	DET
ejpam-3067	20	25	dynamo	dynamo	NOUN
ejpam-3067	20	26	.	.	PUNCT
ejpam-3067	21	1	the	the	DET
ejpam-3067	21	2	email	email	NOUN
ejpam-3067	21	3	address	address	NOUN
ejpam-3067	21	4	:	:	PUNCT
ejpam-3067	21	5	a.allahem@qu.edu.sa	a.allahem@qu.edu.sa	PROPN
ejpam-3067	21	6	(	(	PUNCT
ejpam-3067	21	7	a.	a.	NOUN
ejpam-3067	21	8	allahem	allahem	PROPN
ejpam-3067	21	9	)	)	PUNCT
ejpam-3067	21	10	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3067	21	11	858	858	NUM
ejpam-3067	22	1	c	c	NOUN
ejpam-3067	22	2	©	©	PROPN
ejpam-3067	22	3	2017	2017	NUM
ejpam-3067	22	4	ejpam	ejpam	VERB
ejpam-3067	22	5	all	all	DET
ejpam-3067	22	6	rights	right	NOUN
ejpam-3067	22	7	reserved	reserve	VERB
ejpam-3067	22	8	.	.	PUNCT
ejpam-3067	23	1	a.	a.	PROPN
ejpam-3067	23	2	allahem	allahem	PROPN
ejpam-3067	23	3	/	/	SYM
ejpam-3067	23	4	eur	eur	PROPN
ejpam-3067	23	5	.	.	PUNCT
ejpam-3067	24	1	j.	j.	PROPN
ejpam-3067	24	2	pure	pure	PROPN
ejpam-3067	24	3	appl	appl	PROPN
ejpam-3067	24	4	.	.	PROPN
ejpam-3067	24	5	math	math	PROPN
ejpam-3067	24	6	,	,	PUNCT
ejpam-3067	24	7	10	10	NUM
ejpam-3067	24	8	(	(	PUNCT
ejpam-3067	24	9	4	4	NUM
ejpam-3067	24	10	)	)	PUNCT
ejpam-3067	24	11	(	(	PUNCT
ejpam-3067	24	12	2017	2017	NUM
ejpam-3067	24	13	)	)	PUNCT
ejpam-3067	24	14	,	,	PUNCT
ejpam-3067	24	15	858	858	NUM
ejpam-3067	24	16	-	-	SYM
ejpam-3067	24	17	870	870	NUM
ejpam-3067	24	18	859	859	NUM
ejpam-3067	24	19	system	system	NOUN
ejpam-3067	24	20	(	(	PUNCT
ejpam-3067	24	21	1	1	X
ejpam-3067	24	22	)	)	PUNCT
ejpam-3067	24	23	study	study	VERB
ejpam-3067	24	24	the	the	DET
ejpam-3067	24	25	case	case	NOUN
ejpam-3067	24	26	when	when	SCONJ
ejpam-3067	24	27	n	n	PROPN
ejpam-3067	24	28	=	=	SYM
ejpam-3067	24	29	1	1	NUM
ejpam-3067	24	30	(	(	PUNCT
ejpam-3067	24	31	one	one	NUM
ejpam-3067	24	32	coupled	couple	VERB
ejpam-3067	24	33	dynamo	dynamo	NOUN
ejpam-3067	24	34	)	)	PUNCT
ejpam-3067	24	35	.	.	PUNCT
ejpam-3067	25	1	hide	hide	VERB
ejpam-3067	25	2	[	[	X
ejpam-3067	25	3	2	2	X
ejpam-3067	25	4	]	]	PUNCT
ejpam-3067	25	5	has	have	AUX
ejpam-3067	25	6	extended	extend	VERB
ejpam-3067	25	7	the	the	DET
ejpam-3067	25	8	above	above	ADJ
ejpam-3067	25	9	study	study	NOUN
ejpam-3067	25	10	and	and	CCONJ
ejpam-3067	25	11	consider	consider	VERB
ejpam-3067	25	12	the	the	DET
ejpam-3067	25	13	n	n	NOUN
ejpam-3067	25	14	=	=	SYM
ejpam-3067	25	15	2	2	NUM
ejpam-3067	25	16	case	case	NOUN
ejpam-3067	25	17	(	(	PUNCT
ejpam-3067	25	18	two	two	NUM
ejpam-3067	25	19	coupled	couple	VERB
ejpam-3067	25	20	dynamos	dynamos	NOUN
ejpam-3067	25	21	)	)	PUNCT
ejpam-3067	25	22	with	with	ADP
ejpam-3067	25	23	their	their	PRON
ejpam-3067	25	24	six	six	NUM
ejpam-3067	25	25	dependent	dependent	ADJ
ejpam-3067	25	26	variables	variable	NOUN
ejpam-3067	25	27	and	and	CCONJ
ejpam-3067	25	28	thirteen	thirteen	NUM
ejpam-3067	25	29	dimensionless	dimensionless	NOUN
ejpam-3067	25	30	parameters	parameter	NOUN
ejpam-3067	25	31	in	in	ADP
ejpam-3067	25	32	general	general	ADJ
ejpam-3067	25	33	.	.	PUNCT
ejpam-3067	26	1	the	the	DET
ejpam-3067	26	2	system	system	NOUN
ejpam-3067	26	3	where	where	SCONJ
ejpam-3067	26	4	n	n	NOUN
ejpam-3067	26	5	=	=	SYM
ejpam-3067	26	6	2	2	NUM
ejpam-3067	26	7	is	be	AUX
ejpam-3067	26	8	given	give	VERB
ejpam-3067	26	9	by	by	ADP
ejpam-3067	26	10	the	the	DET
ejpam-3067	26	11	following	follow	VERB
ejpam-3067	26	12	set	set	NOUN
ejpam-3067	26	13	of	of	ADP
ejpam-3067	26	14	nonlinear	nonlinear	ADJ
ejpam-3067	26	15	ordinary	ordinary	ADJ
ejpam-3067	26	16	differential	differential	ADJ
ejpam-3067	26	17	equations	equation	NOUN
ejpam-3067	27	1	[	[	X
ejpam-3067	27	2	7	7	NUM
ejpam-3067	27	3	]	]	X
ejpam-3067	27	4	:	:	PUNCT
ejpam-3067	28	1	ẋ1	ẋ1	PROPN
ejpam-3067	28	2	=	=	PUNCT
ejpam-3067	29	1	mx2y1	mx2y1	PROPN
ejpam-3067	29	2	−	−	PROPN
ejpam-3067	30	1	x1	x1	PROPN
ejpam-3067	30	2	−	−	PROPN
ejpam-3067	30	3	βz1	βz1	NOUN
ejpam-3067	30	4	,	,	PUNCT
ejpam-3067	30	5	ẏ1	ẏ1	PROPN
ejpam-3067	30	6	=	=	SYM
ejpam-3067	30	7	α(1−mx2x1)−	α(1−mx2x1)−	ADJ
ejpam-3067	30	8	κy1	κy1	NOUN
ejpam-3067	30	9	,	,	PUNCT
ejpam-3067	30	10	ż1	ż1	PROPN
ejpam-3067	30	11	=	=	PUNCT
ejpam-3067	31	1	x1	x1	PROPN
ejpam-3067	31	2	−	−	PROPN
ejpam-3067	32	1	λz1	λz1	X
ejpam-3067	32	2	.	.	PUNCT
ejpam-3067	33	1	ẋ2	ẋ2	X
ejpam-3067	33	2	=	=	PUNCT
ejpam-3067	34	1	l−1[x1y2	l−1[x1y2	VERB
ejpam-3067	34	2	−	−	PROPN
ejpam-3067	34	3	rx2	rx2	PROPN
ejpam-3067	34	4	−	−	PROPN
ejpam-3067	35	1	hβz2	hβz2	PROPN
ejpam-3067	35	2	]	]	PUNCT
ejpam-3067	35	3	,	,	PUNCT
ejpam-3067	35	4	ẏ2	ẏ2	PROPN
ejpam-3067	35	5	=	=	SYM
ejpam-3067	35	6	a−1[α(g	a−1[α(g	ADJ
ejpam-3067	35	7	−	−	PROPN
ejpam-3067	35	8	x2x1)−	x2x1)−	PROPN
ejpam-3067	36	1	kκy2	kκy2	PROPN
ejpam-3067	36	2	]	]	X
ejpam-3067	36	3	,	,	PUNCT
ejpam-3067	36	4	ż2	ż2	PROPN
ejpam-3067	36	5	=	=	SYM
ejpam-3067	36	6	b−1[hx2	b−1[hx2	PROPN
ejpam-3067	36	7	−	−	PROPN
ejpam-3067	36	8	dλz2	dλz2	NOUN
ejpam-3067	36	9	]	]	PUNCT
ejpam-3067	36	10	.	.	PUNCT
ejpam-3067	37	1	(	(	PUNCT
ejpam-3067	37	2	2	2	X
ejpam-3067	37	3	)	)	PUNCT
ejpam-3067	37	4	in	in	ADP
ejpam-3067	37	5	this	this	DET
ejpam-3067	37	6	paper	paper	NOUN
ejpam-3067	37	7	,	,	PUNCT
ejpam-3067	37	8	we	we	PRON
ejpam-3067	37	9	derive	derive	VERB
ejpam-3067	37	10	new	new	ADJ
ejpam-3067	37	11	systems	system	NOUN
ejpam-3067	37	12	from	from	ADP
ejpam-3067	37	13	n	n	NOUN
ejpam-3067	37	14	=	=	SYM
ejpam-3067	37	15	2	2	NUM
ejpam-3067	37	16	coupled	couple	VERB
ejpam-3067	37	17	dynamo	dynamo	NOUN
ejpam-3067	37	18	models	model	NOUN
ejpam-3067	37	19	by	by	ADP
ejpam-3067	37	20	applying	apply	VERB
ejpam-3067	37	21	some	some	DET
ejpam-3067	37	22	restrictions	restriction	NOUN
ejpam-3067	37	23	in	in	ADP
ejpam-3067	37	24	the	the	DET
ejpam-3067	37	25	parameters	parameter	NOUN
ejpam-3067	37	26	.	.	PUNCT
ejpam-3067	38	1	these	these	DET
ejpam-3067	38	2	restrictions	restriction	NOUN
ejpam-3067	38	3	allow	allow	VERB
ejpam-3067	38	4	us	we	PRON
ejpam-3067	38	5	to	to	PART
ejpam-3067	38	6	simplify	simplify	VERB
ejpam-3067	38	7	the	the	DET
ejpam-3067	38	8	system	system	NOUN
ejpam-3067	38	9	(	(	PUNCT
ejpam-3067	38	10	2	2	NUM
ejpam-3067	38	11	)	)	PUNCT
ejpam-3067	38	12	and	and	CCONJ
ejpam-3067	38	13	derive	derive	VERB
ejpam-3067	38	14	new	new	ADJ
ejpam-3067	38	15	reduced	reduce	VERB
ejpam-3067	38	16	systems	system	NOUN
ejpam-3067	38	17	,	,	PUNCT
ejpam-3067	38	18	which	which	PRON
ejpam-3067	38	19	may	may	AUX
ejpam-3067	38	20	find	find	VERB
ejpam-3067	38	21	interested	interested	ADJ
ejpam-3067	38	22	systems	system	NOUN
ejpam-3067	38	23	or	or	CCONJ
ejpam-3067	38	24	lead	lead	VERB
ejpam-3067	38	25	to	to	ADP
ejpam-3067	38	26	one	one	NUM
ejpam-3067	38	27	of	of	ADP
ejpam-3067	38	28	the	the	DET
ejpam-3067	38	29	well	well	ADV
ejpam-3067	38	30	-	-	PUNCT
ejpam-3067	38	31	known	know	VERB
ejpam-3067	38	32	systems	system	NOUN
ejpam-3067	38	33	.	.	PUNCT
ejpam-3067	39	1	we	we	PRON
ejpam-3067	39	2	set	set	VERB
ejpam-3067	39	3	all	all	DET
ejpam-3067	39	4	addition	addition	NOUN
ejpam-3067	39	5	parameters	parameter	NOUN
ejpam-3067	39	6	to	to	ADP
ejpam-3067	39	7	unity	unity	NOUN
ejpam-3067	39	8	unless	unless	SCONJ
ejpam-3067	39	9	a	a	DET
ejpam-3067	39	10	,	,	PUNCT
ejpam-3067	39	11	b	b	NOUN
ejpam-3067	39	12	and	and	CCONJ
ejpam-3067	39	13	l.	l.	NOUN
ejpam-3067	39	14	in	in	ADP
ejpam-3067	39	15	other	other	ADJ
ejpam-3067	39	16	words	word	NOUN
ejpam-3067	39	17	,	,	PUNCT
ejpam-3067	39	18	we	we	PRON
ejpam-3067	39	19	consider	consider	VERB
ejpam-3067	39	20	some	some	DET
ejpam-3067	39	21	constraints	constraint	NOUN
ejpam-3067	39	22	that	that	PRON
ejpam-3067	39	23	being	be	AUX
ejpam-3067	39	24	used	use	VERB
ejpam-3067	39	25	k	k	X
ejpam-3067	40	1	=	=	PUNCT
ejpam-3067	40	2	r	r	NOUN
ejpam-3067	40	3	=	=	PUNCT
ejpam-3067	40	4	m	m	NOUN
ejpam-3067	40	5	=	=	NOUN
ejpam-3067	40	6	h	h	NOUN
ejpam-3067	40	7	=	=	SYM
ejpam-3067	41	1	d	d	NOUN
ejpam-3067	41	2	=	=	PUNCT
ejpam-3067	41	3	g	g	NOUN
ejpam-3067	41	4	=	=	SYM
ejpam-3067	41	5	1	1	X
ejpam-3067	41	6	.	.	PUNCT
ejpam-3067	41	7	(	(	PUNCT
ejpam-3067	41	8	3	3	X
ejpam-3067	41	9	)	)	PUNCT
ejpam-3067	41	10	note	note	NOUN
ejpam-3067	41	11	that	that	SCONJ
ejpam-3067	41	12	when	when	SCONJ
ejpam-3067	41	13	a	a	DET
ejpam-3067	41	14	=	=	SYM
ejpam-3067	41	15	b	b	NOUN
ejpam-3067	41	16	=	=	SYM
ejpam-3067	41	17	l	l	NOUN
ejpam-3067	41	18	=	=	SYM
ejpam-3067	41	19	1	1	NUM
ejpam-3067	41	20	,	,	PUNCT
ejpam-3067	41	21	we	we	PRON
ejpam-3067	41	22	turn	turn	VERB
ejpam-3067	41	23	to	to	PART
ejpam-3067	41	24	hide	hide	VERB
ejpam-3067	41	25	’s	’s	PART
ejpam-3067	41	26	single	single	ADJ
ejpam-3067	41	27	-	-	PUNCT
ejpam-3067	41	28	disk	disk	NOUN
ejpam-3067	41	29	homopolar	homopolar	ADJ
ejpam-3067	41	30	dynamo	dynamo	NOUN
ejpam-3067	41	31	(	(	PUNCT
ejpam-3067	41	32	1	1	NUM
ejpam-3067	41	33	)	)	PUNCT
ejpam-3067	41	34	.	.	PUNCT
ejpam-3067	42	1	also	also	ADV
ejpam-3067	42	2	,	,	PUNCT
ejpam-3067	42	3	we	we	PRON
ejpam-3067	42	4	apply	apply	VERB
ejpam-3067	42	5	an	an	DET
ejpam-3067	42	6	important	important	ADJ
ejpam-3067	42	7	theorem	theorem	NOUN
ejpam-3067	42	8	in	in	ADP
ejpam-3067	42	9	perturbation	perturbation	NOUN
ejpam-3067	42	10	theory	theory	NOUN
ejpam-3067	42	11	that	that	SCONJ
ejpam-3067	42	12	so	so	ADV
ejpam-3067	42	13	-	-	PUNCT
ejpam-3067	42	14	called	call	VERB
ejpam-3067	42	15	tikhonovs	tikhonovs	NOUN
ejpam-3067	42	16	theorem	theorem	NOUN
ejpam-3067	42	17	which	which	PRON
ejpam-3067	42	18	reduces	reduce	VERB
ejpam-3067	42	19	the	the	DET
ejpam-3067	42	20	dimension	dimension	NOUN
ejpam-3067	42	21	of	of	ADP
ejpam-3067	42	22	system	system	NOUN
ejpam-3067	42	23	.	.	PUNCT
ejpam-3067	43	1	the	the	DET
ejpam-3067	43	2	idea	idea	NOUN
ejpam-3067	43	3	of	of	ADP
ejpam-3067	43	4	the	the	DET
ejpam-3067	43	5	theorem	theorem	NOUN
ejpam-3067	43	6	is	be	AUX
ejpam-3067	43	7	based	base	VERB
ejpam-3067	43	8	on	on	ADP
ejpam-3067	43	9	singular	singular	ADJ
ejpam-3067	43	10	perturbation	perturbation	NOUN
ejpam-3067	43	11	problem	problem	NOUN
ejpam-3067	43	12	[	[	X
ejpam-3067	43	13	8	8	NUM
ejpam-3067	43	14	]	]	PUNCT
ejpam-3067	43	15	.	.	PUNCT
ejpam-3067	44	1	consider	consider	VERB
ejpam-3067	44	2	a	a	DET
ejpam-3067	44	3	system	system	NOUN
ejpam-3067	44	4	of	of	ADP
ejpam-3067	44	5	differential	differential	ADJ
ejpam-3067	44	6	equations	equation	NOUN
ejpam-3067	44	7	of	of	ADP
ejpam-3067	44	8	the	the	DET
ejpam-3067	44	9	form	form	NOUN
ejpam-3067	44	10	ẋ	ẋ	PUNCT
ejpam-3067	45	1	=	=	SYM
ejpam-3067	45	2	f(x	f(x	PROPN
ejpam-3067	45	3	,	,	PUNCT
ejpam-3067	45	4	z	z	PROPN
ejpam-3067	45	5	,	,	PUNCT
ejpam-3067	45	6	t	t	PROPN
ejpam-3067	45	7	)	)	PUNCT
ejpam-3067	45	8	,	,	PUNCT
ejpam-3067	45	9	µż	µż	PUNCT
ejpam-3067	45	10	=	=	SYM
ejpam-3067	46	1	g(x	g(x	PROPN
ejpam-3067	46	2	,	,	PUNCT
ejpam-3067	46	3	z	z	PROPN
ejpam-3067	46	4	,	,	PUNCT
ejpam-3067	46	5	t	t	PROPN
ejpam-3067	46	6	)	)	PUNCT
ejpam-3067	46	7	,	,	PUNCT
ejpam-3067	46	8	0	0	PUNCT
ejpam-3067	46	9	<	<	X
ejpam-3067	46	10	µ	µ	X
ejpam-3067	46	11	�	�	PROPN
ejpam-3067	46	12	1	1	NUM
ejpam-3067	46	13	(	(	PUNCT
ejpam-3067	46	14	4	4	NUM
ejpam-3067	46	15	)	)	PUNCT
ejpam-3067	46	16	where	where	SCONJ
ejpam-3067	46	17	f	f	PROPN
ejpam-3067	46	18	and	and	CCONJ
ejpam-3067	46	19	g	g	PROPN
ejpam-3067	46	20	are	be	AUX
ejpam-3067	46	21	sufficiently	sufficiently	ADV
ejpam-3067	46	22	differentiable	differentiable	ADJ
ejpam-3067	46	23	.	.	PUNCT
ejpam-3067	47	1	the	the	DET
ejpam-3067	47	2	functions	function	NOUN
ejpam-3067	47	3	f	f	NOUN
ejpam-3067	47	4	,	,	PUNCT
ejpam-3067	47	5	g	g	PROPN
ejpam-3067	47	6	and	and	CCONJ
ejpam-3067	47	7	the	the	DET
ejpam-3067	47	8	initial	initial	ADJ
ejpam-3067	47	9	values	value	NOUN
ejpam-3067	47	10	x(0	x(0	PROPN
ejpam-3067	47	11	)	)	PUNCT
ejpam-3067	47	12	,	,	PUNCT
ejpam-3067	47	13	z(0	z(0	CCONJ
ejpam-3067	47	14	)	)	PUNCT
ejpam-3067	47	15	may	may	AUX
ejpam-3067	47	16	depend	depend	VERB
ejpam-3067	47	17	smoothly	smoothly	ADV
ejpam-3067	47	18	on	on	ADP
ejpam-3067	47	19	µ.	µ.	NOUN
ejpam-3067	47	20	for	for	ADP
ejpam-3067	47	21	simplicity	simplicity	NOUN
ejpam-3067	47	22	of	of	ADP
ejpam-3067	47	23	notation	notation	NOUN
ejpam-3067	47	24	we	we	PRON
ejpam-3067	47	25	suppress	suppress	VERB
ejpam-3067	47	26	this	this	DET
ejpam-3067	47	27	dependence	dependence	NOUN
ejpam-3067	47	28	.	.	PUNCT
ejpam-3067	48	1	the	the	DET
ejpam-3067	48	2	corresponding	correspond	VERB
ejpam-3067	48	3	equation	equation	NOUN
ejpam-3067	48	4	for	for	ADP
ejpam-3067	48	5	µ	µ	NOUN
ejpam-3067	48	6	=	=	SYM
ejpam-3067	48	7	0	0	NUM
ejpam-3067	48	8	,	,	PUNCT
ejpam-3067	48	9	ẋ	ẋ	PUNCT
ejpam-3067	49	1	=	=	SYM
ejpam-3067	49	2	f(x	f(x	PROPN
ejpam-3067	49	3	,	,	PUNCT
ejpam-3067	49	4	z	z	PROPN
ejpam-3067	49	5	,	,	PUNCT
ejpam-3067	49	6	t	t	PROPN
ejpam-3067	49	7	)	)	PUNCT
ejpam-3067	49	8	,	,	PUNCT
ejpam-3067	49	9	0	0	X
ejpam-3067	50	1	=	=	SYM
ejpam-3067	50	2	g(x	g(x	PROPN
ejpam-3067	50	3	,	,	PUNCT
ejpam-3067	50	4	z	z	PROPN
ejpam-3067	50	5	,	,	PUNCT
ejpam-3067	50	6	t	t	PROPN
ejpam-3067	50	7	)	)	PUNCT
ejpam-3067	50	8	,	,	PUNCT
ejpam-3067	50	9	(	(	PUNCT
ejpam-3067	50	10	5	5	X
ejpam-3067	50	11	)	)	PUNCT
ejpam-3067	50	12	is	be	AUX
ejpam-3067	50	13	the	the	DET
ejpam-3067	50	14	reduced	reduced	ADJ
ejpam-3067	50	15	problem	problem	NOUN
ejpam-3067	50	16	.	.	PUNCT
ejpam-3067	51	1	the	the	DET
ejpam-3067	51	2	function	function	NOUN
ejpam-3067	51	3	f	f	PROPN
ejpam-3067	51	4	is	be	AUX
ejpam-3067	51	5	supposed	suppose	VERB
ejpam-3067	51	6	to	to	PART
ejpam-3067	51	7	possess	possess	VERB
ejpam-3067	51	8	an	an	DET
ejpam-3067	51	9	isolated	isolated	ADJ
ejpam-3067	51	10	solution	solution	NOUN
ejpam-3067	51	11	z	z	NOUN
ejpam-3067	51	12	=	=	SYM
ejpam-3067	51	13	ξ(x	ξ(x	PROPN
ejpam-3067	51	14	,	,	PUNCT
ejpam-3067	51	15	t	t	PROPN
ejpam-3067	51	16	)	)	PUNCT
ejpam-3067	51	17	.	.	PUNCT
ejpam-3067	52	1	the	the	DET
ejpam-3067	52	2	substituting	substituting	NOUN
ejpam-3067	52	3	of	of	ADP
ejpam-3067	52	4	z	z	PROPN
ejpam-3067	52	5	into	into	ADP
ejpam-3067	52	6	the	the	DET
ejpam-3067	52	7	first	first	ADJ
ejpam-3067	52	8	equation	equation	NOUN
ejpam-3067	52	9	yields	yield	NOUN
ejpam-3067	52	10	to	to	ADP
ejpam-3067	52	11	ẋ	ẋ	PROPN
ejpam-3067	53	1	=	=	SYM
ejpam-3067	53	2	f(x	f(x	PROPN
ejpam-3067	53	3	,	,	PUNCT
ejpam-3067	53	4	ξ(x	ξ(x	PROPN
ejpam-3067	53	5	,	,	PUNCT
ejpam-3067	53	6	t	t	PROPN
ejpam-3067	53	7	)	)	PUNCT
ejpam-3067	53	8	,	,	PUNCT
ejpam-3067	53	9	t	t	PROPN
ejpam-3067	53	10	)	)	PUNCT
ejpam-3067	53	11	,	,	PUNCT
ejpam-3067	53	12	x(0	x(0	PROPN
ejpam-3067	53	13	)	)	PUNCT
ejpam-3067	53	14	=	=	PUNCT
ejpam-3067	53	15	x0	x0	PROPN
ejpam-3067	53	16	.	.	PUNCT
ejpam-3067	54	1	(	(	PUNCT
ejpam-3067	54	2	6	6	X
ejpam-3067	54	3	)	)	PUNCT
ejpam-3067	54	4	the	the	DET
ejpam-3067	54	5	paper	paper	NOUN
ejpam-3067	54	6	is	be	AUX
ejpam-3067	54	7	structured	structure	VERB
ejpam-3067	54	8	as	as	SCONJ
ejpam-3067	54	9	follows	follow	VERB
ejpam-3067	54	10	.	.	PUNCT
ejpam-3067	55	1	in	in	ADP
ejpam-3067	55	2	the	the	DET
ejpam-3067	55	3	section	section	NOUN
ejpam-3067	55	4	2	2	NUM
ejpam-3067	55	5	,	,	PUNCT
ejpam-3067	55	6	we	we	PRON
ejpam-3067	55	7	provide	provide	VERB
ejpam-3067	55	8	an	an	DET
ejpam-3067	55	9	overview	overview	NOUN
ejpam-3067	55	10	of	of	ADP
ejpam-3067	55	11	singledisk	singledisk	NOUN
ejpam-3067	55	12	homopolar	homopolar	ADJ
ejpam-3067	55	13	dynamo	dynamo	NOUN
ejpam-3067	55	14	that	that	PRON
ejpam-3067	55	15	was	be	AUX
ejpam-3067	55	16	given	give	VERB
ejpam-3067	55	17	by	by	ADP
ejpam-3067	55	18	hide	hide	VERB
ejpam-3067	55	19	et	et	PROPN
ejpam-3067	55	20	al	al	PROPN
ejpam-3067	56	1	[	[	X
ejpam-3067	56	2	3	3	NUM
ejpam-3067	56	3	]	]	PUNCT
ejpam-3067	56	4	.	.	PUNCT
ejpam-3067	57	1	we	we	PRON
ejpam-3067	57	2	also	also	ADV
ejpam-3067	57	3	present	present	VERB
ejpam-3067	57	4	the	the	DET
ejpam-3067	57	5	doubledisk	doubledisk	NOUN
ejpam-3067	57	6	homopolar	homopolar	ADJ
ejpam-3067	57	7	dynamo	dynamo	NOUN
ejpam-3067	57	8	and	and	CCONJ
ejpam-3067	57	9	study	study	NOUN
ejpam-3067	57	10	.	.	PUNCT
ejpam-3067	58	1	in	in	ADP
ejpam-3067	58	2	double	double	ADJ
ejpam-3067	58	3	-	-	PUNCT
ejpam-3067	58	4	disk	disk	NOUN
ejpam-3067	58	5	homopolar	homopolar	ADJ
ejpam-3067	58	6	dynamo	dynamo	NOUN
ejpam-3067	58	7	[	[	X
ejpam-3067	58	8	7	7	NUM
ejpam-3067	58	9	]	]	PUNCT
ejpam-3067	58	10	,	,	PUNCT
ejpam-3067	58	11	we	we	PRON
ejpam-3067	58	12	have	have	VERB
ejpam-3067	58	13	case	case	NOUN
ejpam-3067	58	14	of	of	ADP
ejpam-3067	58	15	study	study	NOUN
ejpam-3067	58	16	,	,	PUNCT
ejpam-3067	58	17	when	when	SCONJ
ejpam-3067	58	18	κ	κ	X
ejpam-3067	58	19	=	=	NOUN
ejpam-3067	58	20	0	0	NUM
ejpam-3067	58	21	in	in	ADP
ejpam-3067	58	22	section	section	NOUN
ejpam-3067	58	23	3	3	NUM
ejpam-3067	58	24	.	.	PUNCT
ejpam-3067	59	1	throughout	throughout	ADP
ejpam-3067	59	2	this	this	DET
ejpam-3067	59	3	case	case	NOUN
ejpam-3067	59	4	,	,	PUNCT
ejpam-3067	59	5	we	we	PRON
ejpam-3067	59	6	attempt	attempt	VERB
ejpam-3067	59	7	to	to	PART
ejpam-3067	59	8	reduce	reduce	VERB
ejpam-3067	59	9	the	the	DET
ejpam-3067	59	10	dimension	dimension	NOUN
ejpam-3067	59	11	of	of	ADP
ejpam-3067	59	12	system	system	NOUN
ejpam-3067	59	13	which	which	PRON
ejpam-3067	59	14	make	make	VERB
ejpam-3067	59	15	it	it	PRON
ejpam-3067	59	16	simple	simple	ADJ
ejpam-3067	59	17	and	and	CCONJ
ejpam-3067	59	18	comparable	comparable	ADJ
ejpam-3067	59	19	with	with	ADP
ejpam-3067	59	20	well	well	ADV
ejpam-3067	59	21	-	-	PUNCT
ejpam-3067	59	22	known	know	VERB
ejpam-3067	59	23	system	system	NOUN
ejpam-3067	59	24	.	.	PUNCT
ejpam-3067	60	1	numerical	numerical	ADJ
ejpam-3067	60	2	analysis	analysis	NOUN
ejpam-3067	60	3	including	include	VERB
ejpam-3067	60	4	numerical	numerical	ADJ
ejpam-3067	60	5	integration	integration	NOUN
ejpam-3067	60	6	,	,	PUNCT
ejpam-3067	60	7	bifurcations	bifurcation	NOUN
ejpam-3067	60	8	study	study	VERB
ejpam-3067	60	9	and	and	CCONJ
ejpam-3067	60	10	linear	linear	PROPN
ejpam-3067	60	11	stability	stability	NOUN
ejpam-3067	60	12	are	be	AUX
ejpam-3067	60	13	included	include	VERB
ejpam-3067	60	14	.	.	PUNCT
ejpam-3067	61	1	we	we	PRON
ejpam-3067	61	2	draw	draw	VERB
ejpam-3067	61	3	the	the	DET
ejpam-3067	61	4	conclusion	conclusion	NOUN
ejpam-3067	61	5	in	in	ADP
ejpam-3067	61	6	section	section	NOUN
ejpam-3067	61	7	4	4	NUM
ejpam-3067	61	8	.	.	PUNCT
ejpam-3067	61	9	a.	a.	PROPN
ejpam-3067	61	10	allahem	allahem	PROPN
ejpam-3067	61	11	/	/	SYM
ejpam-3067	61	12	eur	eur	PROPN
ejpam-3067	61	13	.	.	PUNCT
ejpam-3067	62	1	j.	j.	PROPN
ejpam-3067	62	2	pure	pure	PROPN
ejpam-3067	62	3	appl	appl	PROPN
ejpam-3067	62	4	.	.	PROPN
ejpam-3067	62	5	math	math	PROPN
ejpam-3067	62	6	,	,	PUNCT
ejpam-3067	62	7	10	10	NUM
ejpam-3067	62	8	(	(	PUNCT
ejpam-3067	62	9	4	4	NUM
ejpam-3067	62	10	)	)	PUNCT
ejpam-3067	62	11	(	(	PUNCT
ejpam-3067	62	12	2017	2017	NUM
ejpam-3067	62	13	)	)	PUNCT
ejpam-3067	62	14	,	,	PUNCT
ejpam-3067	62	15	858	858	NUM
ejpam-3067	62	16	-	-	SYM
ejpam-3067	62	17	870	870	NUM
ejpam-3067	62	18	860	860	NUM
ejpam-3067	62	19	2	2	NUM
ejpam-3067	62	20	.	.	PUNCT
ejpam-3067	62	21	theory	theory	NOUN
ejpam-3067	62	22	2.1	2.1	NUM
ejpam-3067	62	23	.	.	PUNCT
ejpam-3067	63	1	single	single	ADJ
ejpam-3067	63	2	-	-	PUNCT
ejpam-3067	63	3	disk	disk	NOUN
ejpam-3067	63	4	homopolar	homopolar	ADJ
ejpam-3067	63	5	dynamo	dynamo	NOUN
ejpam-3067	63	6	:	:	PUNCT
ejpam-3067	63	7	theory	theory	NOUN
ejpam-3067	63	8	hide	hide	VERB
ejpam-3067	63	9	et	et	PROPN
ejpam-3067	63	10	al	al	PROPN
ejpam-3067	63	11	.	.	PUNCT
ejpam-3067	64	1	[	[	X
ejpam-3067	64	2	3	3	X
ejpam-3067	64	3	]	]	PUNCT
ejpam-3067	64	4	proposed	propose	VERB
ejpam-3067	64	5	a	a	DET
ejpam-3067	64	6	model	model	NOUN
ejpam-3067	64	7	for	for	ADP
ejpam-3067	64	8	self	self	NOUN
ejpam-3067	64	9	-	-	PUNCT
ejpam-3067	64	10	exciting	exciting	ADJ
ejpam-3067	64	11	dynamo	dynamo	NOUN
ejpam-3067	64	12	action	action	NOUN
ejpam-3067	64	13	in	in	ADP
ejpam-3067	64	14	which	which	PRON
ejpam-3067	64	15	a	a	DET
ejpam-3067	64	16	faraday	faraday	NOUN
ejpam-3067	64	17	disk	disk	NOUN
ejpam-3067	64	18	and	and	CCONJ
ejpam-3067	64	19	coil	coil	NOUN
ejpam-3067	64	20	are	be	AUX
ejpam-3067	64	21	arranged	arrange	VERB
ejpam-3067	64	22	in	in	ADP
ejpam-3067	64	23	series	series	NOUN
ejpam-3067	64	24	with	with	ADP
ejpam-3067	64	25	either	either	CCONJ
ejpam-3067	64	26	a	a	DET
ejpam-3067	64	27	capacitor	capacitor	NOUN
ejpam-3067	64	28	or	or	CCONJ
ejpam-3067	64	29	a	a	DET
ejpam-3067	64	30	motor	motor	NOUN
ejpam-3067	64	31	.	.	PUNCT
ejpam-3067	65	1	the	the	DET
ejpam-3067	65	2	system	system	NOUN
ejpam-3067	65	3	(	(	PUNCT
ejpam-3067	65	4	1	1	X
ejpam-3067	65	5	)	)	PUNCT
ejpam-3067	65	6	contains	contain	VERB
ejpam-3067	65	7	a	a	DET
ejpam-3067	65	8	steady	steady	ADJ
ejpam-3067	65	9	equilibrium	equilibrium	NOUN
ejpam-3067	65	10	solution	solution	NOUN
ejpam-3067	65	11	either	either	CCONJ
ejpam-3067	65	12	(	(	PUNCT
ejpam-3067	65	13	x	x	X
ejpam-3067	65	14	,	,	PUNCT
ejpam-3067	65	15	y	y	PROPN
ejpam-3067	65	16	,	,	PUNCT
ejpam-3067	65	17	z	z	NOUN
ejpam-3067	65	18	)	)	PUNCT
ejpam-3067	65	19	=	=	SYM
ejpam-3067	65	20	(	(	PUNCT
ejpam-3067	65	21	0	0	NUM
ejpam-3067	65	22	,	,	PUNCT
ejpam-3067	65	23	α	α	NOUN
ejpam-3067	65	24	/	/	SYM
ejpam-3067	65	25	κ	κ	NOUN
ejpam-3067	65	26	,	,	PUNCT
ejpam-3067	65	27	0	0	NUM
ejpam-3067	65	28	)	)	PUNCT
ejpam-3067	65	29	or	or	CCONJ
ejpam-3067	65	30	(	(	PUNCT
ejpam-3067	65	31	x	x	X
ejpam-3067	65	32	,	,	PUNCT
ejpam-3067	65	33	y	y	PROPN
ejpam-3067	65	34	,	,	PUNCT
ejpam-3067	65	35	z	z	NOUN
ejpam-3067	65	36	)	)	PUNCT
ejpam-3067	65	37	=	=	SYM
ejpam-3067	65	38	(	(	PUNCT
ejpam-3067	65	39	±	±	NUM
ejpam-3067	65	40	√	√	PROPN
ejpam-3067	65	41	1−	1−	NUM
ejpam-3067	65	42	κ	κ	X
ejpam-3067	65	43	/	/	SYM
ejpam-3067	65	44	α(β	α(β	PROPN
ejpam-3067	65	45	/	/	SYM
ejpam-3067	65	46	λ+	λ+	NUM
ejpam-3067	65	47	1	1	NUM
ejpam-3067	65	48	)	)	PUNCT
ejpam-3067	65	49	,	,	PUNCT
ejpam-3067	65	50	β	β	X
ejpam-3067	65	51	/	/	SYM
ejpam-3067	65	52	λ+	λ+	PUNCT
ejpam-3067	65	53	1	1	NUM
ejpam-3067	65	54	,	,	PUNCT
ejpam-3067	65	55	x	x	X
ejpam-3067	65	56	/	/	SYM
ejpam-3067	65	57	λ	λ	NOUN
ejpam-3067	65	58	)	)	PUNCT
ejpam-3067	65	59	.	.	PUNCT
ejpam-3067	66	1	a	a	DET
ejpam-3067	66	2	linear	linear	ADJ
ejpam-3067	66	3	stability	stability	NOUN
ejpam-3067	66	4	analysis	analysis	NOUN
ejpam-3067	66	5	of	of	ADP
ejpam-3067	66	6	(	(	PUNCT
ejpam-3067	66	7	1	1	NUM
ejpam-3067	66	8	)	)	PUNCT
ejpam-3067	66	9	about	about	ADP
ejpam-3067	66	10	the	the	DET
ejpam-3067	66	11	steady	steady	ADJ
ejpam-3067	66	12	equilibrium	equilibrium	NOUN
ejpam-3067	66	13	solution	solution	NOUN
ejpam-3067	66	14	shows	show	VERB
ejpam-3067	66	15	that	that	SCONJ
ejpam-3067	66	16	the	the	DET
ejpam-3067	66	17	eigenvalues	eigenvalue	NOUN
ejpam-3067	66	18	of	of	ADP
ejpam-3067	66	19	jacobian	jacobian	ADJ
ejpam-3067	66	20	matrix	matrix	NOUN
ejpam-3067	66	21	are	be	AUX
ejpam-3067	66	22	−κ	−κ	NOUN
ejpam-3067	66	23	,	,	PUNCT
ejpam-3067	66	24	1/2{α	1/2{α	NUM
ejpam-3067	66	25	/	/	SYM
ejpam-3067	66	26	κ−	κ−	NOUN
ejpam-3067	66	27	1−	1−	NUM
ejpam-3067	67	1	λ±	λ±	PROPN
ejpam-3067	67	2	√	√	NUM
ejpam-3067	67	3	(	(	PUNCT
ejpam-3067	67	4	α	α	X
ejpam-3067	67	5	/	/	SYM
ejpam-3067	67	6	κ−	κ−	PROPN
ejpam-3067	67	7	1	1	NUM
ejpam-3067	68	1	+	+	CCONJ
ejpam-3067	68	2	λ)2	λ)2	NOUN
ejpam-3067	68	3	−	−	NOUN
ejpam-3067	68	4	4β	4β	NUM
ejpam-3067	68	5	}	}	PUNCT
ejpam-3067	68	6	steady	steady	ADJ
ejpam-3067	68	7	bifurcations	bifurcation	NOUN
ejpam-3067	68	8	occur	occur	VERB
ejpam-3067	68	9	along	along	ADP
ejpam-3067	68	10	the	the	DET
ejpam-3067	68	11	line	line	NOUN
ejpam-3067	68	12	α	α	NOUN
ejpam-3067	68	13	/	/	SYM
ejpam-3067	68	14	κ	κ	NOUN
ejpam-3067	68	15	=	=	SYM
ejpam-3067	68	16	β	β	X
ejpam-3067	68	17	/	/	SYM
ejpam-3067	68	18	λ+	λ+	NUM
ejpam-3067	68	19	1	1	NUM
ejpam-3067	68	20	,	,	PUNCT
ejpam-3067	68	21	where	where	SCONJ
ejpam-3067	68	22	symmetry	symmetry	NOUN
ejpam-3067	68	23	breaking	break	VERB
ejpam-3067	68	24	bifurcation	bifurcation	NOUN
ejpam-3067	68	25	occur	occur	VERB
ejpam-3067	68	26	and	and	CCONJ
ejpam-3067	68	27	two	two	NUM
ejpam-3067	68	28	lines	line	NOUN
ejpam-3067	68	29	of	of	ADP
ejpam-3067	68	30	hopf	hopf	ADJ
ejpam-3067	68	31	bifurcations	bifurcation	NOUN
ejpam-3067	68	32	along	along	ADP
ejpam-3067	68	33	α	α	NOUN
ejpam-3067	68	34	/	/	SYM
ejpam-3067	68	35	κ	κ	NOUN
ejpam-3067	68	36	=	=	PUNCT
ejpam-3067	68	37	λ+	λ+	PUNCT
ejpam-3067	68	38	1	1	NUM
ejpam-3067	68	39	,	,	PUNCT
ejpam-3067	68	40	provided	provide	VERB
ejpam-3067	68	41	β	β	PRON
ejpam-3067	68	42	≥	≥	NOUN
ejpam-3067	68	43	λ2	λ2	NOUN
ejpam-3067	68	44	and	and	CCONJ
ejpam-3067	68	45	α	α	NOUN
ejpam-3067	68	46	/	/	SYM
ejpam-3067	68	47	κ	κ	NOUN
ejpam-3067	68	48	=	=	SYM
ejpam-3067	69	1	[	[	X
ejpam-3067	69	2	(	(	PUNCT
ejpam-3067	69	3	2β	2β	NOUN
ejpam-3067	69	4	−	−	PROPN
ejpam-3067	69	5	κλ−	κλ−	NUM
ejpam-3067	69	6	λ2)/2(κ−	λ2)/2(κ−	NOUN
ejpam-3067	69	7	β	β	NOUN
ejpam-3067	69	8	/	/	SYM
ejpam-3067	69	9	λ	λ	NOUN
ejpam-3067	69	10	)	)	PUNCT
ejpam-3067	69	11	+	+	CCONJ
ejpam-3067	70	1	3β/2λ+	3β/2λ+	PROPN
ejpam-3067	70	2	1	1	NUM
ejpam-3067	70	3	]	]	PUNCT
ejpam-3067	70	4	.	.	PUNCT
ejpam-3067	71	1	in	in	ADP
ejpam-3067	71	2	bifurcation	bifurcation	NOUN
ejpam-3067	71	3	diagram	diagram	NOUN
ejpam-3067	71	4	(	(	PUNCT
ejpam-3067	71	5	see	see	VERB
ejpam-3067	71	6	fig.5	fig.5	NOUN
ejpam-3067	71	7	in	in	ADP
ejpam-3067	71	8	[	[	X
ejpam-3067	71	9	3	3	NUM
ejpam-3067	71	10	]	]	NUM
ejpam-3067	71	11	)	)	PUNCT
ejpam-3067	71	12	,	,	PUNCT
ejpam-3067	71	13	there	there	PRON
ejpam-3067	71	14	is	be	VERB
ejpam-3067	71	15	a	a	DET
ejpam-3067	71	16	taken	take	VERB
ejpam-3067	71	17	-	-	PUNCT
ejpam-3067	71	18	bogdanov	bogdanov	NOUN
ejpam-3067	71	19	(	(	PUNCT
ejpam-3067	71	20	double	double	ADJ
ejpam-3067	71	21	zero	zero	NUM
ejpam-3067	71	22	eigenvalue	eigenvalue	NOUN
ejpam-3067	71	23	type	type	NOUN
ejpam-3067	71	24	)	)	PUNCT
ejpam-3067	71	25	bifurcations	bifurcation	NOUN
ejpam-3067	71	26	occur	occur	VERB
ejpam-3067	71	27	at	at	ADP
ejpam-3067	71	28	the	the	DET
ejpam-3067	71	29	point	point	NOUN
ejpam-3067	71	30	p	p	X
ejpam-3067	71	31	where	where	SCONJ
ejpam-3067	71	32	p	p	NOUN
ejpam-3067	71	33	=	=	X
ejpam-3067	71	34	(	(	PUNCT
ejpam-3067	71	35	α	α	NOUN
ejpam-3067	71	36	/	/	SYM
ejpam-3067	71	37	κ	κ	NOUN
ejpam-3067	71	38	,	,	PUNCT
ejpam-3067	71	39	β	β	NOUN
ejpam-3067	71	40	)	)	PUNCT
ejpam-3067	71	41	=	=	SYM
ejpam-3067	71	42	(	(	PUNCT
ejpam-3067	71	43	λ+	λ+	NUM
ejpam-3067	71	44	1	1	NUM
ejpam-3067	71	45	,	,	PUNCT
ejpam-3067	71	46	λ2	λ2	NOUN
ejpam-3067	71	47	)	)	PUNCT
ejpam-3067	71	48	,	,	PUNCT
ejpam-3067	71	49	note	note	VERB
ejpam-3067	71	50	that	that	SCONJ
ejpam-3067	71	51	,	,	PUNCT
ejpam-3067	71	52	all	all	DET
ejpam-3067	71	53	lines	line	NOUN
ejpam-3067	71	54	of	of	ADP
ejpam-3067	71	55	steady	steady	ADJ
ejpam-3067	71	56	bifurcations	bifurcation	NOUN
ejpam-3067	71	57	and	and	CCONJ
ejpam-3067	71	58	two	two	NUM
ejpam-3067	71	59	lines	line	NOUN
ejpam-3067	71	60	of	of	ADP
ejpam-3067	71	61	hopf	hopf	ADJ
ejpam-3067	71	62	bifurcations	bifurcation	NOUN
ejpam-3067	71	63	meet	meet	VERB
ejpam-3067	71	64	in	in	ADV
ejpam-3067	71	65	at	at	ADP
ejpam-3067	71	66	point	point	NOUN
ejpam-3067	71	67	p	p	NOUN
ejpam-3067	71	68	with	with	ADP
ejpam-3067	71	69	reflection	reflection	NOUN
ejpam-3067	71	70	symmetry	symmetry	NOUN
ejpam-3067	71	71	.	.	PUNCT
ejpam-3067	72	1	there	there	PRON
ejpam-3067	72	2	is	be	VERB
ejpam-3067	72	3	a	a	DET
ejpam-3067	72	4	global	global	ADJ
ejpam-3067	72	5	bifurcation	bifurcation	NOUN
ejpam-3067	72	6	occurs	occur	VERB
ejpam-3067	72	7	and	and	CCONJ
ejpam-3067	72	8	it	it	PRON
ejpam-3067	72	9	emerges	emerge	VERB
ejpam-3067	72	10	from	from	ADP
ejpam-3067	72	11	the	the	DET
ejpam-3067	72	12	taken	take	VERB
ejpam-3067	72	13	-	-	PUNCT
ejpam-3067	72	14	bogdanov	bogdanov	NOUN
ejpam-3067	72	15	point	point	NOUN
ejpam-3067	72	16	,	,	PUNCT
ejpam-3067	72	17	label	label	VERB
ejpam-3067	72	18	it	it	PRON
ejpam-3067	72	19	p	p	NOUN
ejpam-3067	72	20	in	in	ADP
ejpam-3067	72	21	bifurcation	bifurcation	NOUN
ejpam-3067	72	22	diagram	diagram	NOUN
ejpam-3067	72	23	.	.	PUNCT
ejpam-3067	73	1	in	in	ADP
ejpam-3067	73	2	addition	addition	NOUN
ejpam-3067	73	3	hide	hide	VERB
ejpam-3067	73	4	et	et	PROPN
ejpam-3067	73	5	al	al	PROPN
ejpam-3067	73	6	.	.	PUNCT
ejpam-3067	74	1	[	[	X
ejpam-3067	74	2	3	3	X
ejpam-3067	74	3	]	]	PUNCT
ejpam-3067	74	4	have	have	AUX
ejpam-3067	74	5	shown	show	VERB
ejpam-3067	74	6	that	that	SCONJ
ejpam-3067	74	7	dynamo	dynamo	NOUN
ejpam-3067	74	8	action	action	NOUN
ejpam-3067	74	9	occurs	occur	VERB
ejpam-3067	74	10	when	when	SCONJ
ejpam-3067	74	11	the	the	DET
ejpam-3067	74	12	steady	steady	ADJ
ejpam-3067	74	13	equilibrium	equilibrium	NOUN
ejpam-3067	74	14	solution	solution	NOUN
ejpam-3067	74	15	(	(	PUNCT
ejpam-3067	74	16	x	x	X
ejpam-3067	74	17	,	,	PUNCT
ejpam-3067	74	18	y	y	PROPN
ejpam-3067	74	19	,	,	PUNCT
ejpam-3067	74	20	z	z	NOUN
ejpam-3067	74	21	)	)	PUNCT
ejpam-3067	74	22	=	=	SYM
ejpam-3067	74	23	(	(	PUNCT
ejpam-3067	74	24	0	0	NUM
ejpam-3067	74	25	,	,	PUNCT
ejpam-3067	74	26	α	α	NOUN
ejpam-3067	74	27	/	/	SYM
ejpam-3067	74	28	λ	λ	PROPN
ejpam-3067	74	29	,	,	PUNCT
ejpam-3067	74	30	0	0	NUM
ejpam-3067	74	31	)	)	PUNCT
ejpam-3067	74	32	is	be	AUX
ejpam-3067	74	33	unstable	unstable	ADJ
ejpam-3067	74	34	,	,	PUNCT
ejpam-3067	74	35	namely	namely	ADV
ejpam-3067	74	36	when	when	SCONJ
ejpam-3067	74	37	α	α	X
ejpam-3067	74	38	/	/	SYM
ejpam-3067	74	39	κ	κ	X
ejpam-3067	74	40	>	>	X
ejpam-3067	74	41	min(1	min(1	X
ejpam-3067	74	42	+	+	CCONJ
ejpam-3067	74	43	β	β	X
ejpam-3067	74	44	/	/	SYM
ejpam-3067	74	45	λ	λ	NOUN
ejpam-3067	74	46	,	,	PUNCT
ejpam-3067	74	47	1	1	NUM
ejpam-3067	74	48	+	+	SYM
ejpam-3067	74	49	λ	λ	NOUN
ejpam-3067	74	50	)	)	PUNCT
ejpam-3067	74	51	,	,	PUNCT
ejpam-3067	74	52	but	but	CCONJ
ejpam-3067	74	53	not	not	PART
ejpam-3067	74	54	otherwise	otherwise	ADV
ejpam-3067	74	55	.	.	PUNCT
ejpam-3067	75	1	2.2	2.2	NUM
ejpam-3067	75	2	.	.	PUNCT
ejpam-3067	75	3	double	double	ADJ
ejpam-3067	75	4	-	-	PUNCT
ejpam-3067	75	5	disk	disk	NOUN
ejpam-3067	75	6	homopolar	homopolar	ADJ
ejpam-3067	75	7	dynamo	dynamo	NOUN
ejpam-3067	75	8	:	:	PUNCT
ejpam-3067	75	9	theory	theory	NOUN
ejpam-3067	75	10	the	the	DET
ejpam-3067	75	11	set	set	NOUN
ejpam-3067	75	12	of	of	ADP
ejpam-3067	75	13	equations	equation	NOUN
ejpam-3067	75	14	for	for	ADP
ejpam-3067	75	15	general	general	ADJ
ejpam-3067	75	16	coupled	couple	VERB
ejpam-3067	75	17	dynamo	dynamo	NOUN
ejpam-3067	75	18	(	(	PUNCT
ejpam-3067	75	19	2	2	NUM
ejpam-3067	75	20	)	)	PUNCT
ejpam-3067	75	21	is	be	AUX
ejpam-3067	75	22	reduced	reduce	VERB
ejpam-3067	75	23	by	by	ADP
ejpam-3067	75	24	a	a	DET
ejpam-3067	75	25	constrains	constrain	NOUN
ejpam-3067	75	26	(	(	PUNCT
ejpam-3067	75	27	3	3	NUM
ejpam-3067	75	28	)	)	PUNCT
ejpam-3067	75	29	to	to	PART
ejpam-3067	75	30	:	:	PUNCT
ejpam-3067	75	31	ẋ1	ẋ1	PROPN
ejpam-3067	75	32	=	=	PUNCT
ejpam-3067	76	1	x2y1	x2y1	ADP
ejpam-3067	76	2	−	−	NOUN
ejpam-3067	77	1	x1	x1	INTJ
ejpam-3067	77	2	−	−	PROPN
ejpam-3067	77	3	βz1	βz1	NOUN
ejpam-3067	77	4	,	,	PUNCT
ejpam-3067	77	5	ẏ1	ẏ1	PROPN
ejpam-3067	77	6	=	=	SYM
ejpam-3067	77	7	α(1−	α(1−	PROPN
ejpam-3067	77	8	x2x1)−	x2x1)−	PROPN
ejpam-3067	77	9	κy1	κy1	PROPN
ejpam-3067	77	10	,	,	PUNCT
ejpam-3067	78	1	ż1	ż1	PROPN
ejpam-3067	78	2	=	=	PUNCT
ejpam-3067	79	1	x1	x1	PROPN
ejpam-3067	79	2	−	−	PROPN
ejpam-3067	80	1	λz1	λz1	X
ejpam-3067	80	2	.	.	PUNCT
ejpam-3067	81	1	ẋ2	ẋ2	X
ejpam-3067	81	2	=	=	PUNCT
ejpam-3067	82	1	l−1[x1y2	l−1[x1y2	VERB
ejpam-3067	82	2	−	−	NOUN
ejpam-3067	83	1	x2	x2	INTJ
ejpam-3067	83	2	−	−	PROPN
ejpam-3067	83	3	βz2	βz2	PROPN
ejpam-3067	83	4	]	]	X
ejpam-3067	83	5	,	,	PUNCT
ejpam-3067	83	6	ẏ2	ẏ2	NOUN
ejpam-3067	83	7	=	=	PUNCT
ejpam-3067	83	8	a−1[α(1−	a−1[α(1−	ADJ
ejpam-3067	83	9	x2x1)−	x2x1)−	PROPN
ejpam-3067	84	1	κy2	κy2	PROPN
ejpam-3067	84	2	]	]	X
ejpam-3067	84	3	,	,	PUNCT
ejpam-3067	84	4	ż2	ż2	PROPN
ejpam-3067	84	5	=	=	PUNCT
ejpam-3067	85	1	b−1[x2	b−1[x2	PROPN
ejpam-3067	85	2	−	−	NOUN
ejpam-3067	85	3	λz2	λz2	NOUN
ejpam-3067	85	4	]	]	PUNCT
ejpam-3067	85	5	.	.	PUNCT
ejpam-3067	86	1	(	(	PUNCT
ejpam-3067	86	2	7	7	X
ejpam-3067	86	3	)	)	PUNCT
ejpam-3067	86	4	a.	a.	NOUN
ejpam-3067	86	5	allahem	allahem	PROPN
ejpam-3067	86	6	/	/	SYM
ejpam-3067	86	7	eur	eur	PROPN
ejpam-3067	86	8	.	.	PUNCT
ejpam-3067	87	1	j.	j.	PROPN
ejpam-3067	87	2	pure	pure	PROPN
ejpam-3067	87	3	appl	appl	PROPN
ejpam-3067	87	4	.	.	PROPN
ejpam-3067	87	5	math	math	PROPN
ejpam-3067	87	6	,	,	PUNCT
ejpam-3067	87	7	10	10	NUM
ejpam-3067	87	8	(	(	PUNCT
ejpam-3067	87	9	4	4	NUM
ejpam-3067	87	10	)	)	PUNCT
ejpam-3067	87	11	(	(	PUNCT
ejpam-3067	87	12	2017	2017	NUM
ejpam-3067	87	13	)	)	PUNCT
ejpam-3067	87	14	,	,	PUNCT
ejpam-3067	87	15	858	858	NUM
ejpam-3067	87	16	-	-	SYM
ejpam-3067	87	17	870	870	NUM
ejpam-3067	87	18	861	861	NUM
ejpam-3067	87	19	similar	similar	ADJ
ejpam-3067	87	20	to	to	ADP
ejpam-3067	87	21	the	the	DET
ejpam-3067	87	22	single	single	ADJ
ejpam-3067	87	23	homopolar	homopolar	ADJ
ejpam-3067	87	24	dynamo	dynamo	NOUN
ejpam-3067	87	25	,	,	PUNCT
ejpam-3067	87	26	the	the	DET
ejpam-3067	87	27	equations	equation	NOUN
ejpam-3067	87	28	(	(	PUNCT
ejpam-3067	87	29	7	7	X
ejpam-3067	87	30	)	)	PUNCT
ejpam-3067	87	31	have	have	VERB
ejpam-3067	87	32	a	a	DET
ejpam-3067	87	33	reflection	reflection	NOUN
ejpam-3067	87	34	symmetry	symmetry	NOUN
ejpam-3067	87	35	:	:	PUNCT
ejpam-3067	87	36	they	they	PRON
ejpam-3067	87	37	are	be	AUX
ejpam-3067	87	38	unchanged	unchanged	ADJ
ejpam-3067	87	39	and	and	CCONJ
ejpam-3067	87	40	invariant	invariant	ADJ
ejpam-3067	87	41	under	under	ADP
ejpam-3067	87	42	the	the	DET
ejpam-3067	87	43	transformation	transformation	NOUN
ejpam-3067	87	44	(	(	PUNCT
ejpam-3067	87	45	x1	x1	PROPN
ejpam-3067	87	46	,	,	PUNCT
ejpam-3067	87	47	y1	y1	PROPN
ejpam-3067	87	48	,	,	PUNCT
ejpam-3067	87	49	z1	z1	NOUN
ejpam-3067	87	50	,	,	PUNCT
ejpam-3067	87	51	x2	x2	PROPN
ejpam-3067	87	52	,	,	PUNCT
ejpam-3067	87	53	y2	y2	PROPN
ejpam-3067	87	54	,	,	PUNCT
ejpam-3067	87	55	z2)→	z2)→	PROPN
ejpam-3067	87	56	(	(	PUNCT
ejpam-3067	87	57	−x1	−x1	PROPN
ejpam-3067	87	58	,	,	PUNCT
ejpam-3067	87	59	y1,−z1,−x2	y1,−z1,−x2	PROPN
ejpam-3067	87	60	,	,	PUNCT
ejpam-3067	87	61	y2,−z2	y2,−z2	NOUN
ejpam-3067	87	62	)	)	PUNCT
ejpam-3067	87	63	.	.	PUNCT
ejpam-3067	88	1	in	in	ADP
ejpam-3067	88	2	other	other	ADJ
ejpam-3067	88	3	word	word	NOUN
ejpam-3067	88	4	,	,	PUNCT
ejpam-3067	88	5	the	the	DET
ejpam-3067	88	6	y1	y1	NOUN
ejpam-3067	88	7	,	,	PUNCT
ejpam-3067	88	8	y2	y2	PROPN
ejpam-3067	88	9	are	be	AUX
ejpam-3067	88	10	invariant	invariant	ADJ
ejpam-3067	88	11	.	.	PUNCT
ejpam-3067	89	1	the	the	DET
ejpam-3067	89	2	equilibrium	equilibrium	NOUN
ejpam-3067	89	3	states	state	NOUN
ejpam-3067	89	4	can	can	AUX
ejpam-3067	89	5	be	be	AUX
ejpam-3067	89	6	found	find	VERB
ejpam-3067	89	7	in	in	ADP
ejpam-3067	89	8	ref	ref	NOUN
ejpam-3067	89	9	.	.	PUNCT
ejpam-3067	90	1	[	[	X
ejpam-3067	90	2	4	4	NUM
ejpam-3067	90	3	]	]	PUNCT
ejpam-3067	90	4	.	.	PUNCT
ejpam-3067	91	1	3	3	X
ejpam-3067	91	2	.	.	X
ejpam-3067	91	3	case	case	NOUN
ejpam-3067	91	4	study	study	VERB
ejpam-3067	91	5	the	the	DET
ejpam-3067	91	6	case	case	NOUN
ejpam-3067	91	7	is	be	AUX
ejpam-3067	91	8	when	when	SCONJ
ejpam-3067	91	9	we	we	PRON
ejpam-3067	91	10	have	have	VERB
ejpam-3067	91	11	nonzero	nonzero	PROPN
ejpam-3067	91	12	λ	λ	PROPN
ejpam-3067	91	13	and	and	CCONJ
ejpam-3067	91	14	zero	zero	NUM
ejpam-3067	91	15	κ	κ	NOUN
ejpam-3067	91	16	.	.	PUNCT
ejpam-3067	92	1	the	the	DET
ejpam-3067	92	2	models	model	NOUN
ejpam-3067	92	3	reduction	reduction	NOUN
ejpam-3067	92	4	here	here	ADV
ejpam-3067	92	5	are	be	AUX
ejpam-3067	92	6	based	base	VERB
ejpam-3067	92	7	on	on	ADP
ejpam-3067	92	8	two	two	NUM
ejpam-3067	92	9	kind	kind	NOUN
ejpam-3067	92	10	of	of	ADP
ejpam-3067	92	11	reduction	reduction	NOUN
ejpam-3067	92	12	methods	method	NOUN
ejpam-3067	92	13	.	.	PUNCT
ejpam-3067	93	1	first	first	ADV
ejpam-3067	93	2	of	of	ADP
ejpam-3067	93	3	all	all	PRON
ejpam-3067	93	4	,	,	PUNCT
ejpam-3067	93	5	eliminating	eliminate	VERB
ejpam-3067	93	6	the	the	DET
ejpam-3067	93	7	differential	differential	ADJ
ejpam-3067	93	8	equation	equation	NOUN
ejpam-3067	93	9	.	.	PUNCT
ejpam-3067	94	1	second	second	ADV
ejpam-3067	94	2	of	of	ADP
ejpam-3067	94	3	all	all	PRON
ejpam-3067	94	4	,	,	PUNCT
ejpam-3067	94	5	we	we	PRON
ejpam-3067	94	6	use	use	VERB
ejpam-3067	94	7	an	an	DET
ejpam-3067	94	8	important	important	ADJ
ejpam-3067	94	9	theorem	theorem	NOUN
ejpam-3067	94	10	in	in	ADP
ejpam-3067	94	11	perturbation	perturbation	NOUN
ejpam-3067	94	12	theory	theory	NOUN
ejpam-3067	94	13	[	[	X
ejpam-3067	94	14	6	6	NUM
ejpam-3067	94	15	,	,	PUNCT
ejpam-3067	94	16	8	8	NUM
ejpam-3067	94	17	,	,	PUNCT
ejpam-3067	94	18	10	10	NUM
ejpam-3067	94	19	]	]	PUNCT
ejpam-3067	94	20	that	that	SCONJ
ejpam-3067	94	21	so	so	ADV
ejpam-3067	94	22	-	-	PUNCT
ejpam-3067	94	23	called	call	VERB
ejpam-3067	94	24	tikhonov’stheorem	tikhonov’stheorem	VERB
ejpam-3067	94	25	.	.	PUNCT
ejpam-3067	95	1	we	we	PRON
ejpam-3067	95	2	start	start	VERB
ejpam-3067	95	3	the	the	DET
ejpam-3067	95	4	problem	problem	NOUN
ejpam-3067	95	5	in	in	ADP
ejpam-3067	95	6	the	the	DET
ejpam-3067	95	7	system	system	NOUN
ejpam-3067	95	8	(	(	PUNCT
ejpam-3067	95	9	7)with	7)with	NUM
ejpam-3067	95	10	κ	κ	NOUN
ejpam-3067	95	11	=	=	SYM
ejpam-3067	95	12	0	0	NUM
ejpam-3067	95	13	,	,	PUNCT
ejpam-3067	95	14	and	and	CCONJ
ejpam-3067	95	15	hence	hence	ADV
ejpam-3067	95	16	ẋ1	ẋ1	PROPN
ejpam-3067	95	17	=	=	PUNCT
ejpam-3067	96	1	x2y1	x2y1	ADP
ejpam-3067	96	2	−	−	NOUN
ejpam-3067	97	1	x1	x1	INTJ
ejpam-3067	97	2	−	−	PROPN
ejpam-3067	97	3	βz1	βz1	NOUN
ejpam-3067	97	4	,	,	PUNCT
ejpam-3067	97	5	ẏ1	ẏ1	PROPN
ejpam-3067	97	6	=	=	SYM
ejpam-3067	97	7	α(1−	α(1−	PROPN
ejpam-3067	97	8	x2x1	x2x1	X
ejpam-3067	97	9	)	)	PUNCT
ejpam-3067	97	10	,	,	PUNCT
ejpam-3067	98	1	ż1	ż1	PROPN
ejpam-3067	98	2	=	=	PUNCT
ejpam-3067	99	1	x1	x1	PROPN
ejpam-3067	99	2	−	−	PROPN
ejpam-3067	100	1	λz1	λz1	X
ejpam-3067	100	2	.	.	PUNCT
ejpam-3067	101	1	ẋ2	ẋ2	X
ejpam-3067	101	2	=	=	PUNCT
ejpam-3067	102	1	l−1[x1y2	l−1[x1y2	VERB
ejpam-3067	102	2	−	−	NOUN
ejpam-3067	103	1	x2	x2	INTJ
ejpam-3067	103	2	−	−	PROPN
ejpam-3067	103	3	βz2	βz2	PROPN
ejpam-3067	103	4	]	]	X
ejpam-3067	103	5	,	,	PUNCT
ejpam-3067	103	6	ẏ2	ẏ2	NOUN
ejpam-3067	103	7	=	=	SYM
ejpam-3067	103	8	a−1[α(1−	a−1[α(1−	NOUN
ejpam-3067	103	9	x2x1	x2x1	NOUN
ejpam-3067	103	10	)	)	PUNCT
ejpam-3067	103	11	]	]	PUNCT
ejpam-3067	103	12	,	,	PUNCT
ejpam-3067	103	13	ż2	ż2	PROPN
ejpam-3067	103	14	=	=	PUNCT
ejpam-3067	103	15	b−1[x2	b−1[x2	PROPN
ejpam-3067	103	16	−	−	NOUN
ejpam-3067	103	17	λz2	λz2	NOUN
ejpam-3067	103	18	]	]	PUNCT
ejpam-3067	103	19	.	.	PUNCT
ejpam-3067	104	1	(	(	PUNCT
ejpam-3067	104	2	8)	8)	NUM
ejpam-3067	104	3	first	first	ADV
ejpam-3067	104	4	of	of	ADP
ejpam-3067	104	5	all	all	PRON
ejpam-3067	104	6	,	,	PUNCT
ejpam-3067	104	7	we	we	PRON
ejpam-3067	104	8	reduce	reduce	VERB
ejpam-3067	104	9	the	the	DET
ejpam-3067	104	10	six	six	NUM
ejpam-3067	104	11	dimensions	dimension	NOUN
ejpam-3067	104	12	of	of	ADP
ejpam-3067	104	13	system	system	NOUN
ejpam-3067	104	14	(	(	PUNCT
ejpam-3067	104	15	8)	8)	NUM
ejpam-3067	104	16	to	to	ADP
ejpam-3067	104	17	five	five	NUM
ejpam-3067	104	18	dimensions	dimension	NOUN
ejpam-3067	104	19	by	by	ADP
ejpam-3067	104	20	eliminating	eliminate	VERB
ejpam-3067	104	21	the	the	DET
ejpam-3067	104	22	equation	equation	NOUN
ejpam-3067	104	23	of	of	ADP
ejpam-3067	104	24	ẏ2	ẏ2	PROPN
ejpam-3067	104	25	with	with	ADP
ejpam-3067	104	26	ẏ1	ẏ1	PROPN
ejpam-3067	104	27	.	.	PUNCT
ejpam-3067	104	28	suppose	suppose	VERB
ejpam-3067	104	29	ẏ1	ẏ1	PROPN
ejpam-3067	104	30	=	=	SYM
ejpam-3067	104	31	f(x1	f(x1	ADJ
ejpam-3067	104	32	,	,	PUNCT
ejpam-3067	104	33	x2	x2	PROPN
ejpam-3067	104	34	)	)	PUNCT
ejpam-3067	104	35	,	,	PUNCT
ejpam-3067	104	36	and	and	CCONJ
ejpam-3067	104	37	so	so	ADV
ejpam-3067	104	38	,	,	PUNCT
ejpam-3067	104	39	ẏ2	ẏ2	PROPN
ejpam-3067	104	40	=	=	SYM
ejpam-3067	104	41	a−1f(x1	a−1f(x1	PROPN
ejpam-3067	104	42	,	,	PUNCT
ejpam-3067	104	43	x2	x2	PROPN
ejpam-3067	104	44	)	)	PUNCT
ejpam-3067	104	45	.	.	PUNCT
ejpam-3067	105	1	let	let	VERB
ejpam-3067	105	2	v̇	v̇	NOUN
ejpam-3067	105	3	=	=	SYM
ejpam-3067	105	4	f(x1	f(x1	ADJ
ejpam-3067	105	5	,	,	PUNCT
ejpam-3067	105	6	x2	x2	PROPN
ejpam-3067	105	7	)	)	PUNCT
ejpam-3067	105	8	,	,	PUNCT
ejpam-3067	105	9	and	and	CCONJ
ejpam-3067	106	1	hence	hence	ADV
ejpam-3067	106	2	ẏ2	ẏ2	PROPN
ejpam-3067	106	3	=	=	PUNCT
ejpam-3067	106	4	a−1v̇	a−1v̇	PROPN
ejpam-3067	106	5	,	,	PUNCT
ejpam-3067	106	6	y2	y2	PROPN
ejpam-3067	106	7	=	=	PUNCT
ejpam-3067	107	1	a−1v	a−1v	PROPN
ejpam-3067	108	1	+	+	CCONJ
ejpam-3067	108	2	c	c	X
ejpam-3067	108	3	,	,	PUNCT
ejpam-3067	108	4	thus	thus	ADV
ejpam-3067	108	5	,	,	PUNCT
ejpam-3067	108	6	the	the	DET
ejpam-3067	108	7	relation	relation	NOUN
ejpam-3067	108	8	between	between	ADP
ejpam-3067	108	9	y1	y1	NOUN
ejpam-3067	108	10	and	and	CCONJ
ejpam-3067	108	11	y2	y2	PROPN
ejpam-3067	108	12	is	be	AUX
ejpam-3067	108	13	y2	y2	NOUN
ejpam-3067	108	14	=	=	SYM
ejpam-3067	108	15	a−1y1	a−1y1	PROPN
ejpam-3067	108	16	+	+	CCONJ
ejpam-3067	108	17	c.	c.	NOUN
ejpam-3067	108	18	(	(	PUNCT
ejpam-3067	108	19	9	9	NUM
ejpam-3067	108	20	)	)	PUNCT
ejpam-3067	108	21	from	from	ADP
ejpam-3067	108	22	the	the	DET
ejpam-3067	108	23	equation	equation	NOUN
ejpam-3067	108	24	(	(	PUNCT
ejpam-3067	108	25	9	9	NUM
ejpam-3067	108	26	)	)	PUNCT
ejpam-3067	108	27	,	,	PUNCT
ejpam-3067	108	28	we	we	PRON
ejpam-3067	108	29	can	can	AUX
ejpam-3067	108	30	find	find	VERB
ejpam-3067	108	31	the	the	DET
ejpam-3067	108	32	simple	simple	ADJ
ejpam-3067	108	33	conditions	condition	NOUN
ejpam-3067	108	34	on	on	ADP
ejpam-3067	108	35	parameters	parameter	NOUN
ejpam-3067	109	1	such	such	ADJ
ejpam-3067	109	2	that	that	SCONJ
ejpam-3067	109	3	ay2(t)→	ay2(t)→	PROPN
ejpam-3067	109	4	y1(t	y1(t	PROPN
ejpam-3067	109	5	)	)	PUNCT
ejpam-3067	109	6	as	as	ADP
ejpam-3067	109	7	t	t	PROPN
ejpam-3067	109	8	→	→	SYM
ejpam-3067	109	9	∞	∞	PROPN
ejpam-3067	109	10	,	,	PUNCT
ejpam-3067	109	11	if	if	SCONJ
ejpam-3067	109	12	κ	κ	X
ejpam-3067	109	13	=	=	SYM
ejpam-3067	109	14	0	0	NUM
ejpam-3067	109	15	and	and	CCONJ
ejpam-3067	109	16	the	the	DET
ejpam-3067	109	17	new	new	ADJ
ejpam-3067	109	18	variable	variable	NOUN
ejpam-3067	109	19	c	c	NOUN
ejpam-3067	109	20	=	=	SYM
ejpam-3067	109	21	0	0	X
ejpam-3067	109	22	.	.	PUNCT
ejpam-3067	110	1	it	it	PRON
ejpam-3067	110	2	is	be	AUX
ejpam-3067	110	3	clear	clear	ADJ
ejpam-3067	110	4	that	that	SCONJ
ejpam-3067	110	5	if	if	SCONJ
ejpam-3067	110	6	we	we	PRON
ejpam-3067	110	7	differentiate	differentiate	VERB
ejpam-3067	110	8	the	the	DET
ejpam-3067	110	9	equation	equation	NOUN
ejpam-3067	110	10	(	(	PUNCT
ejpam-3067	110	11	9	9	NUM
ejpam-3067	110	12	)	)	PUNCT
ejpam-3067	110	13	,	,	PUNCT
ejpam-3067	110	14	we	we	PRON
ejpam-3067	110	15	get	get	VERB
ejpam-3067	110	16	ċ	ċ	NOUN
ejpam-3067	110	17	=	=	SYM
ejpam-3067	110	18	0	0	X
ejpam-3067	110	19	.	.	PUNCT
ejpam-3067	111	1	in	in	ADP
ejpam-3067	111	2	other	other	ADJ
ejpam-3067	111	3	word	word	NOUN
ejpam-3067	111	4	,	,	PUNCT
ejpam-3067	111	5	if	if	SCONJ
ejpam-3067	111	6	the	the	DET
ejpam-3067	111	7	solution	solution	NOUN
ejpam-3067	111	8	of	of	ADP
ejpam-3067	111	9	y2	y2	PROPN
ejpam-3067	111	10	in	in	ADP
ejpam-3067	111	11	six	six	NUM
ejpam-3067	111	12	dimensional	dimensional	ADJ
ejpam-3067	111	13	system	system	NOUN
ejpam-3067	111	14	is	be	AUX
ejpam-3067	111	15	stable	stable	ADJ
ejpam-3067	111	16	(	(	PUNCT
ejpam-3067	111	17	unstable	unstable	ADJ
ejpam-3067	111	18	)	)	PUNCT
ejpam-3067	111	19	,	,	PUNCT
ejpam-3067	111	20	then	then	ADV
ejpam-3067	111	21	the	the	DET
ejpam-3067	111	22	solution	solution	NOUN
ejpam-3067	111	23	of	of	ADP
ejpam-3067	111	24	y1	y1	NOUN
ejpam-3067	111	25	in	in	ADP
ejpam-3067	111	26	five	five	NUM
ejpam-3067	111	27	dimensional	dimensional	ADJ
ejpam-3067	111	28	system	system	NOUN
ejpam-3067	111	29	is	be	AUX
ejpam-3067	111	30	also	also	ADV
ejpam-3067	111	31	stable	stable	ADJ
ejpam-3067	111	32	(	(	PUNCT
ejpam-3067	111	33	unstable	unstable	ADJ
ejpam-3067	111	34	)	)	PUNCT
ejpam-3067	111	35	,	,	PUNCT
ejpam-3067	111	36	respectively	respectively	ADV
ejpam-3067	111	37	.	.	PUNCT
ejpam-3067	112	1	thus	thus	ADV
ejpam-3067	112	2	the	the	DET
ejpam-3067	112	3	system	system	NOUN
ejpam-3067	112	4	(	(	PUNCT
ejpam-3067	112	5	8)	8)	NUM
ejpam-3067	112	6	becomes	become	VERB
ejpam-3067	112	7	ẋ1	ẋ1	PROPN
ejpam-3067	112	8	=	=	PUNCT
ejpam-3067	113	1	x2y1	x2y1	ADP
ejpam-3067	113	2	−	−	NOUN
ejpam-3067	114	1	x1	x1	INTJ
ejpam-3067	114	2	−	−	PROPN
ejpam-3067	114	3	βz1	βz1	NOUN
ejpam-3067	114	4	,	,	PUNCT
ejpam-3067	114	5	ẏ1	ẏ1	PROPN
ejpam-3067	114	6	=	=	SYM
ejpam-3067	114	7	α(1−	α(1−	PROPN
ejpam-3067	114	8	x2x1	x2x1	X
ejpam-3067	114	9	)	)	PUNCT
ejpam-3067	114	10	,	,	PUNCT
ejpam-3067	115	1	ż1	ż1	PROPN
ejpam-3067	115	2	=	=	PUNCT
ejpam-3067	116	1	x1	x1	PROPN
ejpam-3067	116	2	−	−	PROPN
ejpam-3067	117	1	λz1	λz1	INTJ
ejpam-3067	117	2	.	.	PUNCT
ejpam-3067	118	1	ẋ2	ẋ2	NOUN
ejpam-3067	118	2	=	=	PUNCT
ejpam-3067	119	1	l−1[x1(a	l−1[x1(a	NUM
ejpam-3067	119	2	−1y1	−1y1	NOUN
ejpam-3067	119	3	+	+	CCONJ
ejpam-3067	119	4	c)−	c)−	PROPN
ejpam-3067	119	5	x2	x2	NOUN
ejpam-3067	119	6	−	−	PROPN
ejpam-3067	119	7	βz2	βz2	NOUN
ejpam-3067	119	8	]	]	X
ejpam-3067	119	9	,	,	PUNCT
ejpam-3067	119	10	ż2	ż2	PROPN
ejpam-3067	119	11	=	=	PUNCT
ejpam-3067	119	12	b−1[x2	b−1[x2	PROPN
ejpam-3067	119	13	−	−	NOUN
ejpam-3067	119	14	λz2	λz2	NOUN
ejpam-3067	119	15	]	]	PUNCT
ejpam-3067	119	16	.	.	PUNCT
ejpam-3067	120	1	(	(	PUNCT
ejpam-3067	120	2	10	10	NUM
ejpam-3067	120	3	)	)	PUNCT
ejpam-3067	120	4	a.	a.	NOUN
ejpam-3067	120	5	allahem	allahem	PROPN
ejpam-3067	120	6	/	/	SYM
ejpam-3067	120	7	eur	eur	PROPN
ejpam-3067	120	8	.	.	PUNCT
ejpam-3067	121	1	j.	j.	PROPN
ejpam-3067	121	2	pure	pure	PROPN
ejpam-3067	121	3	appl	appl	PROPN
ejpam-3067	121	4	.	.	PROPN
ejpam-3067	121	5	math	math	PROPN
ejpam-3067	121	6	,	,	PUNCT
ejpam-3067	121	7	10	10	NUM
ejpam-3067	121	8	(	(	PUNCT
ejpam-3067	121	9	4	4	NUM
ejpam-3067	121	10	)	)	PUNCT
ejpam-3067	121	11	(	(	PUNCT
ejpam-3067	121	12	2017	2017	NUM
ejpam-3067	121	13	)	)	PUNCT
ejpam-3067	121	14	,	,	PUNCT
ejpam-3067	121	15	858	858	NUM
ejpam-3067	121	16	-	-	SYM
ejpam-3067	121	17	870	870	NUM
ejpam-3067	121	18	862	862	NUM
ejpam-3067	121	19	this	this	DET
ejpam-3067	121	20	system	system	NOUN
ejpam-3067	121	21	can	can	AUX
ejpam-3067	121	22	be	be	AUX
ejpam-3067	121	23	reduced	reduce	VERB
ejpam-3067	121	24	further	far	ADV
ejpam-3067	121	25	.	.	PUNCT
ejpam-3067	122	1	we	we	PRON
ejpam-3067	122	2	have	have	VERB
ejpam-3067	122	3	five	five	NUM
ejpam-3067	122	4	dimensional	dimensional	ADJ
ejpam-3067	122	5	system	system	NOUN
ejpam-3067	122	6	(	(	PUNCT
ejpam-3067	122	7	10	10	NUM
ejpam-3067	122	8	)	)	PUNCT
ejpam-3067	122	9	,	,	PUNCT
ejpam-3067	122	10	and	and	CCONJ
ejpam-3067	122	11	by	by	ADP
ejpam-3067	122	12	rescaling	rescale	VERB
ejpam-3067	122	13	x1	x1	PROPN
ejpam-3067	122	14	to	to	PART
ejpam-3067	122	15	be	be	AUX
ejpam-3067	122	16	x1	x1	PROPN
ejpam-3067	122	17	=	=	SYM
ejpam-3067	122	18	λx1	λx1	PROPN
ejpam-3067	122	19	,	,	PUNCT
ejpam-3067	122	20	the	the	DET
ejpam-3067	122	21	ż1	ż1	PROPN
ejpam-3067	122	22	equation	equation	NOUN
ejpam-3067	122	23	as	as	ADP
ejpam-3067	122	24	result	result	NOUN
ejpam-3067	122	25	becomes	become	VERB
ejpam-3067	122	26	ż1	ż1	NOUN
ejpam-3067	122	27	=	=	PUNCT
ejpam-3067	122	28	λx1	λx1	X
ejpam-3067	123	1	−	−	PROPN
ejpam-3067	124	1	λz1	λz1	PROPN
ejpam-3067	124	2	.	.	PUNCT
ejpam-3067	125	1	divide	divide	VERB
ejpam-3067	125	2	it	it	PRON
ejpam-3067	125	3	by	by	ADP
ejpam-3067	125	4	λ	λ	PROPN
ejpam-3067	125	5	ż1	ż1	PROPN
ejpam-3067	125	6	/	/	SYM
ejpam-3067	125	7	λ	λ	NOUN
ejpam-3067	125	8	=	=	SYM
ejpam-3067	125	9	x1	x1	PROPN
ejpam-3067	125	10	−	−	PROPN
ejpam-3067	125	11	z1	z1	PROPN
ejpam-3067	125	12	.	.	PUNCT
ejpam-3067	126	1	now	now	ADV
ejpam-3067	126	2	we	we	PRON
ejpam-3067	126	3	apply	apply	VERB
ejpam-3067	126	4	tikhonov	tikhonov	NOUN
ejpam-3067	126	5	theorem	theorem	VERB
ejpam-3067	126	6	by	by	ADP
ejpam-3067	126	7	choosing	choose	VERB
ejpam-3067	126	8	λ	λ	PROPN
ejpam-3067	126	9	large	large	ADJ
ejpam-3067	126	10	,	,	PUNCT
ejpam-3067	126	11	and	and	CCONJ
ejpam-3067	126	12	hence	hence	ADV
ejpam-3067	126	13	x1	x1	PROPN
ejpam-3067	126	14	=	=	SYM
ejpam-3067	126	15	z1	z1	PROPN
ejpam-3067	126	16	.	.	PUNCT
ejpam-3067	127	1	(	(	PUNCT
ejpam-3067	127	2	11	11	NUM
ejpam-3067	127	3	)	)	PUNCT
ejpam-3067	127	4	similarly	similarly	ADV
ejpam-3067	127	5	in	in	ADP
ejpam-3067	127	6	ż2	ż2	PROPN
ejpam-3067	127	7	,	,	PUNCT
ejpam-3067	127	8	we	we	PRON
ejpam-3067	127	9	rescale	rescale	VERB
ejpam-3067	127	10	x2	x2	INTJ
ejpam-3067	127	11	as	as	ADP
ejpam-3067	127	12	x2	x2	PROPN
ejpam-3067	127	13	=	=	PUNCT
ejpam-3067	127	14	λx2	λx2	NOUN
ejpam-3067	127	15	and	and	CCONJ
ejpam-3067	127	16	then	then	ADV
ejpam-3067	127	17	divide	divide	VERB
ejpam-3067	127	18	the	the	DET
ejpam-3067	127	19	equation	equation	NOUN
ejpam-3067	127	20	by	by	ADP
ejpam-3067	127	21	λ	λ	NOUN
ejpam-3067	127	22	,	,	PUNCT
ejpam-3067	127	23	we	we	PRON
ejpam-3067	127	24	get	get	VERB
ejpam-3067	127	25	b	b	NOUN
ejpam-3067	127	26	/	/	SYM
ejpam-3067	127	27	λż2	λż2	NOUN
ejpam-3067	127	28	=	=	SYM
ejpam-3067	128	1	x2	x2	PROPN
ejpam-3067	128	2	−	−	PROPN
ejpam-3067	128	3	z2	z2	PROPN
ejpam-3067	128	4	.	.	PUNCT
ejpam-3067	129	1	set	set	PROPN
ejpam-3067	129	2	b	b	PROPN
ejpam-3067	129	3	=	=	PUNCT
ejpam-3067	129	4	c1λ	c1λ	PROPN
ejpam-3067	129	5	.	.	PUNCT
ejpam-3067	130	1	the	the	DET
ejpam-3067	130	2	equation	equation	NOUN
ejpam-3067	130	3	becomes	become	VERB
ejpam-3067	130	4	c1ż2	c1ż2	NOUN
ejpam-3067	130	5	=	=	SYM
ejpam-3067	131	1	x2	x2	PROPN
ejpam-3067	132	1	−	−	PROPN
ejpam-3067	132	2	z2	z2	PROPN
ejpam-3067	132	3	,	,	PUNCT
ejpam-3067	132	4	then	then	ADV
ejpam-3067	132	5	apply	apply	VERB
ejpam-3067	132	6	tikhonov	tikhonov	NOUN
ejpam-3067	132	7	theorem	theorem	VERB
ejpam-3067	132	8	by	by	ADP
ejpam-3067	132	9	choosing	choose	VERB
ejpam-3067	132	10	c1	c1	PROPN
ejpam-3067	132	11	to	to	PART
ejpam-3067	132	12	be	be	AUX
ejpam-3067	132	13	small	small	ADJ
ejpam-3067	132	14	(	(	PUNCT
ejpam-3067	132	15	c1	c1	PROPN
ejpam-3067	132	16	�	�	PROPN
ejpam-3067	132	17	1	1	NUM
ejpam-3067	132	18	)	)	PUNCT
ejpam-3067	132	19	.	.	PUNCT
ejpam-3067	133	1	thus	thus	ADV
ejpam-3067	133	2	x2	x2	PROPN
ejpam-3067	133	3	=	=	SYM
ejpam-3067	133	4	z2	z2	PROPN
ejpam-3067	133	5	.	.	PUNCT
ejpam-3067	134	1	(	(	PUNCT
ejpam-3067	134	2	12	12	NUM
ejpam-3067	134	3	)	)	PUNCT
ejpam-3067	134	4	however	however	ADV
ejpam-3067	134	5	,	,	PUNCT
ejpam-3067	134	6	this	this	PRON
ejpam-3067	134	7	is	be	AUX
ejpam-3067	134	8	not	not	PART
ejpam-3067	134	9	always	always	ADV
ejpam-3067	134	10	true	true	ADJ
ejpam-3067	134	11	,	,	PUNCT
ejpam-3067	134	12	it	it	PRON
ejpam-3067	134	13	can	can	AUX
ejpam-3067	134	14	be	be	AUX
ejpam-3067	134	15	work	work	NOUN
ejpam-3067	134	16	in	in	ADP
ejpam-3067	134	17	term	term	NOUN
ejpam-3067	134	18	of	of	ADP
ejpam-3067	134	19	perturbation	perturbation	NOUN
ejpam-3067	134	20	theory	theory	NOUN
ejpam-3067	134	21	.	.	PUNCT
ejpam-3067	135	1	from	from	ADP
ejpam-3067	135	2	(	(	PUNCT
ejpam-3067	135	3	11	11	NUM
ejpam-3067	135	4	)	)	PUNCT
ejpam-3067	135	5	,	,	PUNCT
ejpam-3067	135	6	(	(	PUNCT
ejpam-3067	135	7	12	12	NUM
ejpam-3067	135	8	)	)	PUNCT
ejpam-3067	135	9	and	and	CCONJ
ejpam-3067	135	10	already	already	ADV
ejpam-3067	135	11	y2	y2	PROPN
ejpam-3067	135	12	has	have	AUX
ejpam-3067	135	13	been	be	AUX
ejpam-3067	135	14	eliminated	eliminate	VERB
ejpam-3067	135	15	with	with	ADP
ejpam-3067	135	16	y1	y1	PROPN
ejpam-3067	135	17	,	,	PUNCT
ejpam-3067	135	18	the	the	DET
ejpam-3067	135	19	5d	5d	NUM
ejpam-3067	135	20	system	system	NOUN
ejpam-3067	135	21	(	(	PUNCT
ejpam-3067	135	22	10	10	NUM
ejpam-3067	135	23	)	)	PUNCT
ejpam-3067	135	24	reduces	reduce	VERB
ejpam-3067	135	25	to	to	ADP
ejpam-3067	135	26	3d	3d	NUM
ejpam-3067	135	27	system	system	NOUN
ejpam-3067	135	28	as	as	SCONJ
ejpam-3067	135	29	follows	follow	VERB
ejpam-3067	135	30	ẋ1	ẋ1	PROPN
ejpam-3067	135	31	=	=	PUNCT
ejpam-3067	136	1	x2y1	x2y1	ADP
ejpam-3067	136	2	−	−	PROPN
ejpam-3067	136	3	(	(	PUNCT
ejpam-3067	136	4	1	1	NUM
ejpam-3067	136	5	+	+	CCONJ
ejpam-3067	136	6	β	β	X
ejpam-3067	136	7	/	/	SYM
ejpam-3067	136	8	λ)x1	λ)x1	PROPN
ejpam-3067	136	9	,	,	PUNCT
ejpam-3067	136	10	ẏ1	ẏ1	PROPN
ejpam-3067	136	11	=	=	SYM
ejpam-3067	136	12	α(1−	α(1−	PROPN
ejpam-3067	136	13	λ2x1x2	λ2x1x2	PROPN
ejpam-3067	136	14	)	)	PUNCT
ejpam-3067	136	15	,	,	PUNCT
ejpam-3067	137	1	ẋ2	ẋ2	PROPN
ejpam-3067	137	2	=	=	PUNCT
ejpam-3067	138	1	l−1[x1(a	l−1[x1(a	NUM
ejpam-3067	138	2	−1y1	−1y1	NOUN
ejpam-3067	138	3	+	+	CCONJ
ejpam-3067	138	4	c)−	c)−	PROPN
ejpam-3067	138	5	(	(	PUNCT
ejpam-3067	138	6	1	1	NUM
ejpam-3067	138	7	+	+	CCONJ
ejpam-3067	138	8	β	β	X
ejpam-3067	138	9	/	/	SYM
ejpam-3067	138	10	λ)x2	λ)x2	NOUN
ejpam-3067	138	11	]	]	X
ejpam-3067	138	12	,	,	PUNCT
ejpam-3067	138	13	(	(	PUNCT
ejpam-3067	138	14	13	13	NUM
ejpam-3067	138	15	)	)	PUNCT
ejpam-3067	138	16	assume	assume	VERB
ejpam-3067	138	17	that	that	SCONJ
ejpam-3067	138	18	(	(	PUNCT
ejpam-3067	138	19	1	1	NUM
ejpam-3067	138	20	+	+	CCONJ
ejpam-3067	138	21	β	β	X
ejpam-3067	138	22	/	/	SYM
ejpam-3067	138	23	λ	λ	NOUN
ejpam-3067	138	24	)	)	PUNCT
ejpam-3067	138	25	=	=	SYM
ejpam-3067	138	26	µ	µ	NOUN
ejpam-3067	138	27	as	as	ADP
ejpam-3067	138	28	a	a	DET
ejpam-3067	138	29	new	new	ADJ
ejpam-3067	138	30	parameter	parameter	NOUN
ejpam-3067	138	31	and	and	CCONJ
ejpam-3067	138	32	rewrite	rewrite	VERB
ejpam-3067	138	33	the	the	DET
ejpam-3067	138	34	system(13	system(13	NOUN
ejpam-3067	138	35	)	)	PUNCT
ejpam-3067	138	36	in	in	ADP
ejpam-3067	138	37	x	x	PROPN
ejpam-3067	138	38	,	,	PUNCT
ejpam-3067	138	39	y	y	PROPN
ejpam-3067	138	40	and	and	CCONJ
ejpam-3067	138	41	z	z	PROPN
ejpam-3067	138	42	coordinates	coordinate	NOUN
ejpam-3067	138	43	ẋ	ẋ	PUNCT
ejpam-3067	139	1	=	=	PUNCT
ejpam-3067	139	2	zy	zy	PROPN
ejpam-3067	139	3	−	−	NOUN
ejpam-3067	139	4	µx	µx	VERB
ejpam-3067	139	5	,	,	PUNCT
ejpam-3067	139	6	ẏ	ẏ	PROPN
ejpam-3067	139	7	=	=	SYM
ejpam-3067	139	8	α(1−	α(1−	PROPN
ejpam-3067	139	9	λ2xz	λ2xz	PROPN
ejpam-3067	139	10	)	)	PUNCT
ejpam-3067	139	11	,	,	PUNCT
ejpam-3067	139	12	ż	ż	NOUN
ejpam-3067	139	13	=	=	SYM
ejpam-3067	139	14	l−1[x(a−1y	l−1[x(a−1y	PROPN
ejpam-3067	139	15	+	+	PROPN
ejpam-3067	139	16	c)−	c)−	PROPN
ejpam-3067	139	17	µz	µz	PROPN
ejpam-3067	139	18	]	]	PUNCT
ejpam-3067	139	19	,	,	PUNCT
ejpam-3067	139	20	(	(	PUNCT
ejpam-3067	139	21	14	14	NUM
ejpam-3067	139	22	)	)	PUNCT
ejpam-3067	139	23	one	one	NUM
ejpam-3067	139	24	of	of	ADP
ejpam-3067	139	25	the	the	DET
ejpam-3067	139	26	interesting	interesting	ADJ
ejpam-3067	139	27	point	point	NOUN
ejpam-3067	139	28	that	that	SCONJ
ejpam-3067	139	29	rikitake	rikitake	NOUN
ejpam-3067	139	30	disc	disc	NOUN
ejpam-3067	139	31	dynamo	dynamo	NOUN
ejpam-3067	139	32	[	[	X
ejpam-3067	139	33	9	9	NUM
ejpam-3067	139	34	]	]	PUNCT
ejpam-3067	139	35	is	be	AUX
ejpam-3067	139	36	involved	involve	VERB
ejpam-3067	139	37	in	in	ADP
ejpam-3067	139	38	the	the	DET
ejpam-3067	139	39	system	system	NOUN
ejpam-3067	139	40	(	(	PUNCT
ejpam-3067	139	41	14	14	NUM
ejpam-3067	139	42	)	)	PUNCT
ejpam-3067	139	43	by	by	ADP
ejpam-3067	139	44	setting	set	VERB
ejpam-3067	139	45	the	the	DET
ejpam-3067	139	46	limit	limit	NOUN
ejpam-3067	139	47	of	of	ADP
ejpam-3067	139	48	parameters	parameter	NOUN
ejpam-3067	139	49	as	as	ADP
ejpam-3067	139	50	c	c	NOUN
ejpam-3067	139	51	=	=	SYM
ejpam-3067	139	52	−γ	−γ	NOUN
ejpam-3067	139	53	and	and	CCONJ
ejpam-3067	139	54	l	l	NOUN
ejpam-3067	139	55	=	=	PUNCT
ejpam-3067	140	1	a	a	DET
ejpam-3067	140	2	=	=	SYM
ejpam-3067	140	3	α	α	NOUN
ejpam-3067	140	4	=	=	SYM
ejpam-3067	140	5	λ	λ	NOUN
ejpam-3067	140	6	=	=	NOUN
ejpam-3067	140	7	1	1	X
ejpam-3067	140	8	.	.	PUNCT
ejpam-3067	141	1	hence	hence	ADV
ejpam-3067	141	2	we	we	PRON
ejpam-3067	141	3	have	have	VERB
ejpam-3067	141	4	the	the	DET
ejpam-3067	141	5	rikitake	rikitake	NOUN
ejpam-3067	141	6	system	system	NOUN
ejpam-3067	141	7	ẋ	ẋ	PUNCT
ejpam-3067	142	1	=	=	PUNCT
ejpam-3067	142	2	zy	zy	PROPN
ejpam-3067	142	3	−	−	PROPN
ejpam-3067	142	4	µx	µx	VERB
ejpam-3067	142	5	,	,	PUNCT
ejpam-3067	142	6	ẏ	ẏ	PROPN
ejpam-3067	142	7	=	=	PUNCT
ejpam-3067	142	8	x(z	x(z	PROPN
ejpam-3067	142	9	−	−	PROPN
ejpam-3067	143	1	γ)−	γ)−	PROPN
ejpam-3067	143	2	µy	µy	X
ejpam-3067	143	3	,	,	PUNCT
ejpam-3067	143	4	ż	ż	NOUN
ejpam-3067	143	5	=	=	PUNCT
ejpam-3067	144	1	1−	1−	NUM
ejpam-3067	144	2	xy	xy	NUM
ejpam-3067	144	3	,	,	PUNCT
ejpam-3067	144	4	(	(	PUNCT
ejpam-3067	144	5	15	15	NUM
ejpam-3067	144	6	)	)	PUNCT
ejpam-3067	144	7	a.	a.	NOUN
ejpam-3067	144	8	allahem	allahem	PROPN
ejpam-3067	144	9	/	/	SYM
ejpam-3067	144	10	eur	eur	PROPN
ejpam-3067	144	11	.	.	PUNCT
ejpam-3067	145	1	j.	j.	PROPN
ejpam-3067	145	2	pure	pure	PROPN
ejpam-3067	145	3	appl	appl	PROPN
ejpam-3067	145	4	.	.	PROPN
ejpam-3067	145	5	math	math	PROPN
ejpam-3067	145	6	,	,	PUNCT
ejpam-3067	145	7	10	10	NUM
ejpam-3067	145	8	(	(	PUNCT
ejpam-3067	145	9	4	4	NUM
ejpam-3067	145	10	)	)	PUNCT
ejpam-3067	145	11	(	(	PUNCT
ejpam-3067	145	12	2017	2017	NUM
ejpam-3067	145	13	)	)	PUNCT
ejpam-3067	145	14	,	,	PUNCT
ejpam-3067	145	15	858	858	NUM
ejpam-3067	145	16	-	-	SYM
ejpam-3067	145	17	870	870	NUM
ejpam-3067	145	18	863	863	NUM
ejpam-3067	145	19	at	at	ADP
ejpam-3067	145	20	value	value	NOUN
ejpam-3067	145	21	of	of	ADP
ejpam-3067	145	22	parameters	parameter	NOUN
ejpam-3067	145	23	µ	µ	X
ejpam-3067	145	24	=	=	SYM
ejpam-3067	145	25	1.1	1.1	NUM
ejpam-3067	145	26	and	and	CCONJ
ejpam-3067	145	27	γ	γ	X
ejpam-3067	145	28	=	=	SYM
ejpam-3067	145	29	7	7	NUM
ejpam-3067	145	30	,	,	PUNCT
ejpam-3067	145	31	we	we	PRON
ejpam-3067	145	32	have	have	AUX
ejpam-3067	145	33	found	find	VERB
ejpam-3067	145	34	that	that	SCONJ
ejpam-3067	145	35	system	system	NOUN
ejpam-3067	145	36	has	have	VERB
ejpam-3067	145	37	chaotic	chaotic	ADJ
ejpam-3067	145	38	oscillations	oscillation	NOUN
ejpam-3067	145	39	as	as	SCONJ
ejpam-3067	145	40	shown	show	VERB
ejpam-3067	145	41	in	in	ADP
ejpam-3067	145	42	figures	figure	NOUN
ejpam-3067	145	43	1	1	NUM
ejpam-3067	145	44	.	.	PUNCT
ejpam-3067	146	1	in	in	ADP
ejpam-3067	146	2	more	more	ADJ
ejpam-3067	146	3	details	detail	NOUN
ejpam-3067	146	4	,	,	PUNCT
ejpam-3067	146	5	cook	cook	NOUN
ejpam-3067	146	6	and	and	CCONJ
ejpam-3067	146	7	roberts	robert	NOUN
ejpam-3067	146	8	[	[	X
ejpam-3067	146	9	1	1	NUM
ejpam-3067	146	10	]	]	PUNCT
ejpam-3067	146	11	found	find	VERB
ejpam-3067	146	12	the	the	DET
ejpam-3067	146	13	fixed	fix	VERB
ejpam-3067	146	14	points	point	NOUN
ejpam-3067	146	15	of	of	ADP
ejpam-3067	146	16	the	the	DET
ejpam-3067	146	17	rikitake	rikitake	NOUN
ejpam-3067	146	18	system	system	NOUN
ejpam-3067	146	19	which	which	PRON
ejpam-3067	146	20	are	be	AUX
ejpam-3067	146	21	n	n	PRON
ejpam-3067	146	22	and	and	CCONJ
ejpam-3067	146	23	r	r	NOUN
ejpam-3067	146	24	,	,	PUNCT
ejpam-3067	146	25	(	(	PUNCT
ejpam-3067	146	26	±k,±k−1	±k,±k−1	NOUN
ejpam-3067	146	27	,	,	PUNCT
ejpam-3067	146	28	µk2	µk2	NOUN
ejpam-3067	146	29	)	)	PUNCT
ejpam-3067	146	30	where	where	SCONJ
ejpam-3067	146	31	k	k	PROPN
ejpam-3067	146	32	is	be	AUX
ejpam-3067	146	33	given	give	VERB
ejpam-3067	146	34	by	by	ADP
ejpam-3067	146	35	γ	γ	NOUN
ejpam-3067	146	36	=	=	PUNCT
ejpam-3067	146	37	µ(k2	µ(k2	NOUN
ejpam-3067	146	38	−k−2	−k−2	NUM
ejpam-3067	146	39	)	)	PUNCT
ejpam-3067	146	40	,	,	PUNCT
ejpam-3067	146	41	or	or	CCONJ
ejpam-3067	147	1	k	k	X
ejpam-3067	147	2	=	=	PUNCT
ejpam-3067	147	3	√	√	PROPN
ejpam-3067	147	4	γ	γ	PROPN
ejpam-3067	147	5	±	±	NUM
ejpam-3067	147	6	√	√	PROPN
ejpam-3067	147	7	γ2	γ2	NOUN
ejpam-3067	147	8	+	+	CCONJ
ejpam-3067	147	9	4µ2	4µ2	NUM
ejpam-3067	147	10	2µ	2µ	NUM
ejpam-3067	147	11	.	.	PUNCT
ejpam-3067	148	1	there	there	PRON
ejpam-3067	148	2	are	be	VERB
ejpam-3067	148	3	a	a	DET
ejpam-3067	148	4	stable	stable	ADJ
ejpam-3067	148	5	and	and	CCONJ
ejpam-3067	148	6	centre	centre	NOUN
ejpam-3067	148	7	manifold	manifold	ADJ
ejpam-3067	148	8	through	through	ADP
ejpam-3067	148	9	each	each	PRON
ejpam-3067	148	10	of	of	ADP
ejpam-3067	148	11	the	the	DET
ejpam-3067	148	12	fixed	fix	VERB
ejpam-3067	148	13	points	point	NOUN
ejpam-3067	148	14	[	[	X
ejpam-3067	148	15	5	5	NUM
ejpam-3067	148	16	]	]	PUNCT
ejpam-3067	148	17	.	.	PUNCT
ejpam-3067	149	1	thus	thus	ADV
ejpam-3067	149	2	the	the	DET
ejpam-3067	149	3	dynamics	dynamic	NOUN
ejpam-3067	149	4	take	take	VERB
ejpam-3067	149	5	place	place	NOUN
ejpam-3067	149	6	on	on	ADP
ejpam-3067	149	7	centre	centre	NOUN
ejpam-3067	149	8	manifold	manifold	ADJ
ejpam-3067	149	9	,	,	PUNCT
ejpam-3067	149	10	on	on	ADP
ejpam-3067	149	11	which	which	PRON
ejpam-3067	149	12	the	the	DET
ejpam-3067	149	13	fixed	fix	VERB
ejpam-3067	149	14	points	point	NOUN
ejpam-3067	149	15	are	be	AUX
ejpam-3067	149	16	both	both	ADV
ejpam-3067	149	17	unstable	unstable	ADJ
ejpam-3067	149	18	.	.	PUNCT
ejpam-3067	150	1	the	the	DET
ejpam-3067	150	2	stability	stability	NOUN
ejpam-3067	150	3	of	of	ADP
ejpam-3067	150	4	the	the	DET
ejpam-3067	150	5	fixed	fix	VERB
ejpam-3067	150	6	points	point	NOUN
ejpam-3067	150	7	r	r	NOUN
ejpam-3067	150	8	,	,	PUNCT
ejpam-3067	150	9	n	n	PRON
ejpam-3067	150	10	can	can	AUX
ejpam-3067	150	11	be	be	AUX
ejpam-3067	150	12	determined	determine	VERB
ejpam-3067	150	13	by	by	ADP
ejpam-3067	150	14	the	the	DET
ejpam-3067	150	15	method	method	NOUN
ejpam-3067	150	16	of	of	ADP
ejpam-3067	150	17	the	the	DET
ejpam-3067	150	18	eigenvalues	eigenvalue	NOUN
ejpam-3067	150	19	.	.	PUNCT
ejpam-3067	151	1	in	in	ADP
ejpam-3067	151	2	the	the	DET
ejpam-3067	151	3	following	following	ADJ
ejpam-3067	151	4	presentation	presentation	NOUN
ejpam-3067	151	5	we	we	PRON
ejpam-3067	151	6	will	will	AUX
ejpam-3067	151	7	consider	consider	VERB
ejpam-3067	151	8	the	the	DET
ejpam-3067	151	9	fixed	fix	VERB
ejpam-3067	151	10	point	point	NOUN
ejpam-3067	151	11	r	r	NOUN
ejpam-3067	151	12	that	that	PRON
ejpam-3067	151	13	has	have	VERB
ejpam-3067	151	14	positive	positive	ADJ
ejpam-3067	151	15	sign	sign	NOUN
ejpam-3067	151	16	but	but	CCONJ
ejpam-3067	151	17	the	the	DET
ejpam-3067	151	18	same	same	ADJ
ejpam-3067	151	19	computation	computation	NOUN
ejpam-3067	151	20	may	may	AUX
ejpam-3067	151	21	be	be	AUX
ejpam-3067	151	22	applied	apply	VERB
ejpam-3067	151	23	to	to	ADP
ejpam-3067	151	24	n	n	PROPN
ejpam-3067	151	25	.	.	PUNCT
ejpam-3067	152	1	if	if	SCONJ
ejpam-3067	152	2	we	we	PRON
ejpam-3067	152	3	compute	compute	VERB
ejpam-3067	152	4	the	the	DET
ejpam-3067	152	5	jacobian	jacobian	NOUN
ejpam-3067	152	6	of	of	ADP
ejpam-3067	152	7	the	the	DET
ejpam-3067	152	8	system	system	NOUN
ejpam-3067	152	9	(	(	PUNCT
ejpam-3067	152	10	15	15	NUM
ejpam-3067	152	11	)	)	PUNCT
ejpam-3067	152	12	and	and	CCONJ
ejpam-3067	152	13	evaluate	evaluate	VERB
ejpam-3067	152	14	it	it	PRON
ejpam-3067	152	15	at	at	ADP
ejpam-3067	152	16	r	r	NOUN
ejpam-3067	152	17	,	,	PUNCT
ejpam-3067	152	18	we	we	PRON
ejpam-3067	152	19	get	get	VERB
ejpam-3067	152	20	the	the	DET
ejpam-3067	152	21	matrix	matrix	NOUN
ejpam-3067	152	22	j(r	j(r	PROPN
ejpam-3067	152	23	)	)	PUNCT
ejpam-3067	153	1	=	=	PUNCT
ejpam-3067	153	2			NOUN
ejpam-3067	153	3	−µ	−µ	NOUN
ejpam-3067	153	4	µk2	µk2	NOUN
ejpam-3067	153	5	k−1	k−1	PROPN
ejpam-3067	153	6	µk2	µk2	AUX
ejpam-3067	153	7	−	−	PROPN
ejpam-3067	153	8	γ	γ	PROPN
ejpam-3067	153	9	−µ	−µ	NOUN
ejpam-3067	153	10	k	k	PROPN
ejpam-3067	153	11	−k−1	−k−1	NUM
ejpam-3067	153	12	−k	−k	NOUN
ejpam-3067	153	13	0	0	NUM
ejpam-3067	153	14			NOUN
ejpam-3067	153	15	compute	compute	VERB
ejpam-3067	153	16	the	the	DET
ejpam-3067	153	17	eigenvalues	eigenvalue	NOUN
ejpam-3067	153	18	of	of	ADP
ejpam-3067	153	19	the	the	DET
ejpam-3067	153	20	this	this	DET
ejpam-3067	153	21	matrix	matrix	NOUN
ejpam-3067	153	22	results	result	NOUN
ejpam-3067	153	23	in	in	ADP
ejpam-3067	153	24	characteristic	characteristic	ADJ
ejpam-3067	153	25	equation	equation	NOUN
ejpam-3067	153	26	of	of	ADP
ejpam-3067	153	27	the	the	DET
ejpam-3067	153	28	form	form	NOUN
ejpam-3067	153	29	(	(	PUNCT
ejpam-3067	153	30	σ2	σ2	PROPN
ejpam-3067	153	31	+	+	PROPN
ejpam-3067	153	32	k2	k2	ADJ
ejpam-3067	153	33	+	+	PROPN
ejpam-3067	153	34	k−2)(σ	k−2)(σ	NOUN
ejpam-3067	153	35	+	+	NOUN
ejpam-3067	153	36	2µ	2µ	NUM
ejpam-3067	153	37	)	)	PUNCT
ejpam-3067	154	1	=	=	SYM
ejpam-3067	154	2	0	0	NUM
ejpam-3067	154	3	,	,	PUNCT
ejpam-3067	154	4	which	which	PRON
ejpam-3067	154	5	has	have	VERB
ejpam-3067	154	6	roots	root	NOUN
ejpam-3067	154	7	σ0	σ0	NOUN
ejpam-3067	154	8	=	=	SYM
ejpam-3067	154	9	−2µ	−2µ	PROPN
ejpam-3067	154	10	,	,	PUNCT
ejpam-3067	154	11	σ1,2	σ1,2	PROPN
ejpam-3067	154	12	=	=	SYM
ejpam-3067	154	13	±(k2	±(k2	VERB
ejpam-3067	154	14	+	+	NOUN
ejpam-3067	154	15	k−2)i	k−2)i	NOUN
ejpam-3067	154	16	.	.	PUNCT
ejpam-3067	155	1	since	since	SCONJ
ejpam-3067	155	2	the	the	DET
ejpam-3067	155	3	system	system	NOUN
ejpam-3067	155	4	(	(	PUNCT
ejpam-3067	155	5	15	15	NUM
ejpam-3067	155	6	)	)	PUNCT
ejpam-3067	155	7	has	have	VERB
ejpam-3067	155	8	two	two	NUM
ejpam-3067	155	9	purely	purely	ADV
ejpam-3067	155	10	imaginary	imaginary	ADJ
ejpam-3067	155	11	roots	root	NOUN
ejpam-3067	155	12	then	then	ADV
ejpam-3067	155	13	the	the	DET
ejpam-3067	155	14	eigenvalues	eigenvalue	NOUN
ejpam-3067	155	15	method	method	NOUN
ejpam-3067	155	16	fails	fail	VERB
ejpam-3067	155	17	.	.	PUNCT
ejpam-3067	156	1	there	there	PRON
ejpam-3067	156	2	are	be	VERB
ejpam-3067	156	3	two	two	NUM
ejpam-3067	156	4	options	option	NOUN
ejpam-3067	156	5	available	available	ADJ
ejpam-3067	156	6	to	to	PART
ejpam-3067	156	7	study	study	VERB
ejpam-3067	156	8	.	.	PUNCT
ejpam-3067	157	1	firstly	firstly	ADV
ejpam-3067	157	2	,	,	PUNCT
ejpam-3067	157	3	take	take	VERB
ejpam-3067	157	4	the	the	DET
ejpam-3067	157	5	higher	high	ADJ
ejpam-3067	157	6	order	order	NOUN
ejpam-3067	157	7	taylor	taylor	NOUN
ejpam-3067	157	8	approximation	approximation	NOUN
ejpam-3067	157	9	of	of	ADP
ejpam-3067	157	10	system	system	NOUN
ejpam-3067	157	11	ξ̇(t	ξ̇(t	NOUN
ejpam-3067	157	12	)	)	PUNCT
ejpam-3067	157	13	=	=	SYM
ejpam-3067	157	14	fµ(ξ(t	fµ(ξ(t	NOUN
ejpam-3067	157	15	)	)	PUNCT
ejpam-3067	157	16	+	+	CCONJ
ejpam-3067	157	17	u∗	u∗	ADJ
ejpam-3067	157	18	)	)	PUNCT
ejpam-3067	157	19	for	for	ADP
ejpam-3067	157	20	system	system	NOUN
ejpam-3067	157	21	u̇	u̇	NOUN
ejpam-3067	157	22	=	=	PUNCT
ejpam-3067	157	23	fµ(u	fµ(u	NOUN
ejpam-3067	157	24	)	)	PUNCT
ejpam-3067	157	25	where	where	SCONJ
ejpam-3067	157	26	µ	µ	X
ejpam-3067	157	27	parameter	parameter	NOUN
ejpam-3067	157	28	and	and	CCONJ
ejpam-3067	157	29	u∗	u∗	ADJ
ejpam-3067	157	30	state	state	NOUN
ejpam-3067	157	31	-	-	PUNCT
ejpam-3067	157	32	solution	solution	NOUN
ejpam-3067	157	33	.	.	PUNCT
ejpam-3067	158	1	moreover	moreover	ADV
ejpam-3067	158	2	,	,	PUNCT
ejpam-3067	158	3	ξ(t	ξ(t	NOUN
ejpam-3067	158	4	)	)	PUNCT
ejpam-3067	158	5	is	be	AUX
ejpam-3067	158	6	the	the	DET
ejpam-3067	158	7	function	function	NOUN
ejpam-3067	158	8	represent	represent	VERB
ejpam-3067	158	9	the	the	DET
ejpam-3067	158	10	distance	distance	NOUN
ejpam-3067	158	11	between	between	ADP
ejpam-3067	158	12	the	the	DET
ejpam-3067	158	13	state	state	NOUN
ejpam-3067	158	14	solution	solution	NOUN
ejpam-3067	158	15	and	and	CCONJ
ejpam-3067	158	16	some	some	DET
ejpam-3067	158	17	other	other	ADJ
ejpam-3067	158	18	solution	solution	NOUN
ejpam-3067	158	19	as	as	ADP
ejpam-3067	158	20	ξ(t	ξ(t	NOUN
ejpam-3067	158	21	)	)	PUNCT
ejpam-3067	158	22	=	=	SYM
ejpam-3067	158	23	u(t)−	u(t)−	PROPN
ejpam-3067	158	24	u∗	u∗	ADJ
ejpam-3067	158	25	with	with	ADP
ejpam-3067	158	26	u(0)−	u(0)−	PROPN
ejpam-3067	158	27	u∗	u∗	ADJ
ejpam-3067	158	28	=	=	SYM
ejpam-3067	158	29	ξ0	ξ0	NOUN
ejpam-3067	158	30	,	,	PUNCT
ejpam-3067	158	31	note	note	VERB
ejpam-3067	158	32	that	that	SCONJ
ejpam-3067	158	33	the	the	DET
ejpam-3067	158	34	system	system	NOUN
ejpam-3067	158	35	that	that	PRON
ejpam-3067	158	36	results	result	VERB
ejpam-3067	158	37	from	from	ADP
ejpam-3067	158	38	such	such	DET
ejpam-3067	158	39	a	a	DET
ejpam-3067	158	40	truncation	truncation	NOUN
ejpam-3067	158	41	is	be	AUX
ejpam-3067	158	42	no	no	PRON
ejpam-3067	158	43	longer	long	ADV
ejpam-3067	158	44	linear	linear	ADJ
ejpam-3067	158	45	.	.	PUNCT
ejpam-3067	159	1	thus	thus	ADV
ejpam-3067	159	2	it	it	PRON
ejpam-3067	159	3	fails	fail	VERB
ejpam-3067	159	4	too	too	ADV
ejpam-3067	159	5	.	.	PUNCT
ejpam-3067	160	1	the	the	DET
ejpam-3067	160	2	other	other	ADJ
ejpam-3067	160	3	option	option	NOUN
ejpam-3067	160	4	,	,	PUNCT
ejpam-3067	160	5	we	we	PRON
ejpam-3067	160	6	can	can	AUX
ejpam-3067	160	7	use	use	VERB
ejpam-3067	160	8	the	the	DET
ejpam-3067	160	9	lyapounov	lyapounov	NOUN
ejpam-3067	160	10	function	function	NOUN
ejpam-3067	160	11	.	.	PUNCT
ejpam-3067	161	1	this	this	DET
ejpam-3067	161	2	approach	approach	NOUN
ejpam-3067	161	3	is	be	AUX
ejpam-3067	161	4	more	more	ADV
ejpam-3067	161	5	applicable	applicable	ADJ
ejpam-3067	161	6	,	,	PUNCT
ejpam-3067	161	7	to	to	PART
ejpam-3067	161	8	show	show	VERB
ejpam-3067	161	9	that	that	DET
ejpam-3067	161	10	points	point	NOUN
ejpam-3067	161	11	r	r	NOUN
ejpam-3067	161	12	and	and	CCONJ
ejpam-3067	161	13	n	n	NOUN
ejpam-3067	161	14	are	be	AUX
ejpam-3067	161	15	both	both	ADV
ejpam-3067	161	16	unstable	unstable	ADJ
ejpam-3067	161	17	for	for	ADP
ejpam-3067	161	18	any	any	DET
ejpam-3067	161	19	value	value	NOUN
ejpam-3067	161	20	of	of	ADP
ejpam-3067	161	21	parameters	parameter	NOUN
ejpam-3067	161	22	and	and	CCONJ
ejpam-3067	161	23	k	k	PROPN
ejpam-3067	161	24	saves	save	VERB
ejpam-3067	161	25	when	when	SCONJ
ejpam-3067	161	26	k	k	PROPN
ejpam-3067	161	27	=	=	SYM
ejpam-3067	161	28	1	1	NUM
ejpam-3067	161	29	or	or	CCONJ
ejpam-3067	161	30	µ	µ	X
ejpam-3067	161	31	=	=	SYM
ejpam-3067	161	32	0	0	PROPN
ejpam-3067	161	33	.	.	PUNCT
ejpam-3067	161	34	a.	a.	PROPN
ejpam-3067	161	35	allahem	allahem	PROPN
ejpam-3067	161	36	/	/	SYM
ejpam-3067	161	37	eur	eur	PROPN
ejpam-3067	161	38	.	.	PUNCT
ejpam-3067	162	1	j.	j.	PROPN
ejpam-3067	162	2	pure	pure	PROPN
ejpam-3067	162	3	appl	appl	PROPN
ejpam-3067	162	4	.	.	PROPN
ejpam-3067	162	5	math	math	PROPN
ejpam-3067	162	6	,	,	PUNCT
ejpam-3067	162	7	10	10	NUM
ejpam-3067	162	8	(	(	PUNCT
ejpam-3067	162	9	4	4	NUM
ejpam-3067	162	10	)	)	PUNCT
ejpam-3067	162	11	(	(	PUNCT
ejpam-3067	162	12	2017	2017	NUM
ejpam-3067	162	13	)	)	PUNCT
ejpam-3067	162	14	,	,	PUNCT
ejpam-3067	162	15	858	858	NUM
ejpam-3067	162	16	-	-	SYM
ejpam-3067	162	17	870	870	NUM
ejpam-3067	162	18	864	864	NUM
ejpam-3067	162	19	in	in	ADP
ejpam-3067	162	20	general	general	ADJ
ejpam-3067	162	21	,	,	PUNCT
ejpam-3067	162	22	the	the	DET
ejpam-3067	162	23	rikitake	rikitake	NOUN
ejpam-3067	162	24	system	system	NOUN
ejpam-3067	162	25	does	do	AUX
ejpam-3067	162	26	not	not	PART
ejpam-3067	162	27	possess	possess	VERB
ejpam-3067	162	28	closed	closed	ADJ
ejpam-3067	162	29	form	form	NOUN
ejpam-3067	162	30	solution	solution	NOUN
ejpam-3067	162	31	.	.	PUNCT
ejpam-3067	163	1	for	for	ADP
ejpam-3067	163	2	certain	certain	ADJ
ejpam-3067	163	3	parameter	parameter	NOUN
ejpam-3067	163	4	values	value	NOUN
ejpam-3067	163	5	the	the	DET
ejpam-3067	163	6	analytical	analytical	ADJ
ejpam-3067	163	7	solutions	solution	NOUN
ejpam-3067	163	8	are	be	AUX
ejpam-3067	163	9	known	know	VERB
ejpam-3067	163	10	.	.	PUNCT
ejpam-3067	164	1	so	so	ADV
ejpam-3067	164	2	if	if	SCONJ
ejpam-3067	164	3	we	we	PRON
ejpam-3067	164	4	choose	choose	VERB
ejpam-3067	164	5	the	the	DET
ejpam-3067	164	6	values	value	NOUN
ejpam-3067	164	7	as	as	ADP
ejpam-3067	164	8	k	k	PROPN
ejpam-3067	164	9	=	=	SYM
ejpam-3067	164	10	1	1	NUM
ejpam-3067	164	11	and	and	CCONJ
ejpam-3067	164	12	µ	µ	X
ejpam-3067	164	13	=	=	SYM
ejpam-3067	164	14	0	0	NUM
ejpam-3067	164	15	for	for	ADP
ejpam-3067	164	16	the	the	DET
ejpam-3067	164	17	system	system	NOUN
ejpam-3067	164	18	(	(	PUNCT
ejpam-3067	164	19	15	15	NUM
ejpam-3067	164	20	)	)	PUNCT
ejpam-3067	164	21	,	,	PUNCT
ejpam-3067	164	22	then	then	ADV
ejpam-3067	164	23	we	we	PRON
ejpam-3067	164	24	have	have	VERB
ejpam-3067	164	25	the	the	DET
ejpam-3067	164	26	following	follow	VERB
ejpam-3067	164	27	system	system	NOUN
ejpam-3067	164	28	ẋ	ẋ	PUNCT
ejpam-3067	165	1	=	=	SYM
ejpam-3067	165	2	zy	zy	PROPN
ejpam-3067	165	3	,	,	PUNCT
ejpam-3067	165	4	ẏ	ẏ	PROPN
ejpam-3067	165	5	=	=	SYM
ejpam-3067	165	6	1−	1−	NUM
ejpam-3067	165	7	xz	xz	PROPN
ejpam-3067	165	8	,	,	PUNCT
ejpam-3067	165	9	ż	ż	NOUN
ejpam-3067	166	1	=	=	PUNCT
ejpam-3067	166	2	xy	xy	PROPN
ejpam-3067	166	3	,	,	PUNCT
ejpam-3067	166	4	if	if	SCONJ
ejpam-3067	166	5	we	we	PRON
ejpam-3067	166	6	consider	consider	VERB
ejpam-3067	166	7	those	those	DET
ejpam-3067	166	8	solution	solution	NOUN
ejpam-3067	166	9	for	for	ADP
ejpam-3067	166	10	which	which	PRON
ejpam-3067	166	11	x	x	X
ejpam-3067	166	12	=	=	PUNCT
ejpam-3067	166	13	z	z	NOUN
ejpam-3067	166	14	and	and	CCONJ
ejpam-3067	166	15	perform	perform	VERB
ejpam-3067	166	16	the	the	DET
ejpam-3067	166	17	substitution	substitution	NOUN
ejpam-3067	166	18	u	u	NOUN
ejpam-3067	167	1	=	=	NOUN
ejpam-3067	167	2	x	x	SYM
ejpam-3067	167	3	=	=	SYM
ejpam-3067	167	4	z	z	NOUN
ejpam-3067	167	5	,	,	PUNCT
ejpam-3067	167	6	then	then	ADV
ejpam-3067	167	7	we	we	PRON
ejpam-3067	167	8	get	get	VERB
ejpam-3067	167	9	the	the	DET
ejpam-3067	167	10	following	follow	VERB
ejpam-3067	167	11	system	system	NOUN
ejpam-3067	167	12	u̇	u̇	NOUN
ejpam-3067	168	1	=	=	PUNCT
ejpam-3067	168	2	zu	zu	PROPN
ejpam-3067	168	3	,	,	PUNCT
ejpam-3067	168	4	ẏ	ẏ	PROPN
ejpam-3067	168	5	=	=	SYM
ejpam-3067	168	6	1−	1−	NUM
ejpam-3067	168	7	u2	u2	NOUN
ejpam-3067	168	8	,	,	PUNCT
ejpam-3067	168	9	(	(	PUNCT
ejpam-3067	168	10	16	16	NUM
ejpam-3067	168	11	)	)	PUNCT
ejpam-3067	168	12	these	these	DET
ejpam-3067	168	13	equations	equation	NOUN
ejpam-3067	168	14	are	be	AUX
ejpam-3067	168	15	well	well	ADV
ejpam-3067	168	16	-	-	PUNCT
ejpam-3067	168	17	known	know	VERB
ejpam-3067	168	18	which	which	PRON
ejpam-3067	168	19	are	be	AUX
ejpam-3067	168	20	called	call	VERB
ejpam-3067	168	21	the	the	DET
ejpam-3067	168	22	bullard	bullard	NOUN
ejpam-3067	168	23	model	model	NOUN
ejpam-3067	168	24	dynamo	dynamo	PROPN
ejpam-3067	168	25	[	[	X
ejpam-3067	168	26	2	2	NUM
ejpam-3067	168	27	]	]	PUNCT
ejpam-3067	168	28	.	.	PUNCT
ejpam-3067	169	1	thus	thus	ADV
ejpam-3067	169	2	,	,	PUNCT
ejpam-3067	169	3	two	two	NUM
ejpam-3067	169	4	well	well	ADV
ejpam-3067	169	5	-	-	PUNCT
ejpam-3067	169	6	known	know	VERB
ejpam-3067	169	7	systems	system	NOUN
ejpam-3067	169	8	(	(	PUNCT
ejpam-3067	169	9	rikitake	rikitake	NOUN
ejpam-3067	169	10	[	[	X
ejpam-3067	169	11	9	9	NUM
ejpam-3067	169	12	]	]	PUNCT
ejpam-3067	169	13	and	and	CCONJ
ejpam-3067	169	14	bullard	bullard	NOUN
ejpam-3067	169	15	[	[	X
ejpam-3067	169	16	2	2	NUM
ejpam-3067	169	17	]	]	PUNCT
ejpam-3067	169	18	)	)	PUNCT
ejpam-3067	169	19	have	have	AUX
ejpam-3067	169	20	been	be	AUX
ejpam-3067	169	21	derived	derive	VERB
ejpam-3067	169	22	from	from	ADP
ejpam-3067	169	23	original	original	ADJ
ejpam-3067	169	24	system	system	NOUN
ejpam-3067	169	25	(	(	PUNCT
ejpam-3067	169	26	2	2	NUM
ejpam-3067	169	27	)	)	PUNCT
ejpam-3067	169	28	.	.	PUNCT
ejpam-3067	170	1	back	back	ADV
ejpam-3067	170	2	to	to	ADP
ejpam-3067	170	3	the	the	DET
ejpam-3067	170	4	five	five	NUM
ejpam-3067	170	5	dimensional	dimensional	ADJ
ejpam-3067	170	6	system	system	NOUN
ejpam-3067	170	7	(	(	PUNCT
ejpam-3067	170	8	10	10	NUM
ejpam-3067	170	9	)	)	PUNCT
ejpam-3067	170	10	to	to	PART
ejpam-3067	170	11	study	study	VERB
ejpam-3067	170	12	the	the	DET
ejpam-3067	170	13	linear	linear	ADJ
ejpam-3067	170	14	stability	stability	NOUN
ejpam-3067	170	15	around	around	ADP
ejpam-3067	170	16	it	it	PRON
ejpam-3067	170	17	fixed	fix	VERB
ejpam-3067	170	18	points	point	NOUN
ejpam-3067	170	19	.	.	PUNCT
ejpam-3067	171	1	by	by	ADP
ejpam-3067	171	2	setting	set	VERB
ejpam-3067	171	3	all	all	DET
ejpam-3067	171	4	differential	differential	ADJ
ejpam-3067	171	5	equations	equation	NOUN
ejpam-3067	171	6	in	in	ADP
ejpam-3067	171	7	(	(	PUNCT
ejpam-3067	171	8	10	10	NUM
ejpam-3067	171	9	)	)	PUNCT
ejpam-3067	171	10	equal	equal	ADJ
ejpam-3067	171	11	to	to	ADP
ejpam-3067	171	12	zero	zero	NUM
ejpam-3067	171	13	,	,	PUNCT
ejpam-3067	171	14	we	we	PRON
ejpam-3067	171	15	get	get	VERB
ejpam-3067	171	16	the	the	DET
ejpam-3067	171	17	fixed	fix	VERB
ejpam-3067	171	18	point	point	NOUN
ejpam-3067	171	19	.	.	PUNCT
ejpam-3067	172	1	firstly	firstly	ADV
ejpam-3067	172	2	,	,	PUNCT
ejpam-3067	172	3	from	from	ADP
ejpam-3067	172	4	third	third	ADJ
ejpam-3067	172	5	and	and	CCONJ
ejpam-3067	172	6	fifth	fifth	ADJ
ejpam-3067	172	7	equation	equation	NOUN
ejpam-3067	172	8	,	,	PUNCT
ejpam-3067	172	9	it	it	PRON
ejpam-3067	172	10	is	be	AUX
ejpam-3067	172	11	easy	easy	ADJ
ejpam-3067	172	12	to	to	PART
ejpam-3067	172	13	see	see	VERB
ejpam-3067	172	14	that	that	SCONJ
ejpam-3067	172	15	z1	z1	NOUN
ejpam-3067	172	16	=	=	SYM
ejpam-3067	172	17	1	1	NUM
ejpam-3067	172	18	λx1	λx1	X
ejpam-3067	172	19	and	and	CCONJ
ejpam-3067	172	20	z2	z2	PROPN
ejpam-3067	172	21	=	=	SYM
ejpam-3067	172	22	1	1	NUM
ejpam-3067	172	23	λx2	λx2	NOUN
ejpam-3067	172	24	,	,	PUNCT
ejpam-3067	172	25	respectively	respectively	ADV
ejpam-3067	172	26	.	.	PUNCT
ejpam-3067	173	1	also	also	ADV
ejpam-3067	173	2	in	in	ADP
ejpam-3067	173	3	the	the	DET
ejpam-3067	173	4	second	second	ADJ
ejpam-3067	173	5	equation	equation	NOUN
ejpam-3067	173	6	we	we	PRON
ejpam-3067	173	7	find	find	VERB
ejpam-3067	173	8	x1x2	x1x2	PUNCT
ejpam-3067	173	9	=	=	SYM
ejpam-3067	173	10	1	1	X
ejpam-3067	173	11	.	.	PUNCT
ejpam-3067	173	12	(	(	PUNCT
ejpam-3067	173	13	17	17	NUM
ejpam-3067	173	14	)	)	PUNCT
ejpam-3067	173	15	secondly	secondly	ADV
ejpam-3067	173	16	,	,	PUNCT
ejpam-3067	173	17	the	the	DET
ejpam-3067	173	18	first	first	ADJ
ejpam-3067	173	19	and	and	CCONJ
ejpam-3067	173	20	fourth	fourth	ADJ
ejpam-3067	173	21	equations	equation	NOUN
ejpam-3067	173	22	can	can	AUX
ejpam-3067	173	23	be	be	AUX
ejpam-3067	173	24	studied	study	VERB
ejpam-3067	173	25	as	as	SCONJ
ejpam-3067	173	26	follows	follow	VERB
ejpam-3067	173	27	,	,	PUNCT
ejpam-3067	173	28	in	in	ADP
ejpam-3067	173	29	the	the	DET
ejpam-3067	173	30	first	first	ADJ
ejpam-3067	173	31	equation	equation	NOUN
ejpam-3067	173	32	,	,	PUNCT
ejpam-3067	173	33	we	we	PRON
ejpam-3067	173	34	have	have	VERB
ejpam-3067	173	35	x2y1	x2y1	X
ejpam-3067	173	36	−	−	PROPN
ejpam-3067	173	37	(	(	PUNCT
ejpam-3067	173	38	1	1	NUM
ejpam-3067	173	39	+	+	CCONJ
ejpam-3067	173	40	β	β	X
ejpam-3067	173	41	/	/	SYM
ejpam-3067	173	42	λ)x1	λ)x1	NOUN
ejpam-3067	173	43	=	=	PUNCT
ejpam-3067	173	44	0	0	PUNCT
ejpam-3067	174	1	x1	x1	PROPN
ejpam-3067	174	2	=	=	SYM
ejpam-3067	175	1	x2y1	x2y1	PROPN
ejpam-3067	175	2	µ	µ	X
ejpam-3067	175	3	where	where	SCONJ
ejpam-3067	175	4	µ	µ	X
ejpam-3067	175	5	=	=	SYM
ejpam-3067	175	6	1	1	NUM
ejpam-3067	175	7	+	+	CCONJ
ejpam-3067	175	8	β	β	X
ejpam-3067	175	9	/	/	SYM
ejpam-3067	175	10	λ	λ	NOUN
ejpam-3067	175	11	.	.	PUNCT
ejpam-3067	176	1	(	(	PUNCT
ejpam-3067	176	2	18	18	NUM
ejpam-3067	176	3	)	)	PUNCT
ejpam-3067	176	4	also	also	ADV
ejpam-3067	176	5	in	in	ADP
ejpam-3067	176	6	the	the	DET
ejpam-3067	176	7	fourth	fourth	ADJ
ejpam-3067	176	8	equation	equation	NOUN
ejpam-3067	176	9	,	,	PUNCT
ejpam-3067	176	10	we	we	PRON
ejpam-3067	176	11	have	have	VERB
ejpam-3067	176	12	x2	x2	NOUN
ejpam-3067	176	13	=	=	SYM
ejpam-3067	176	14	1	1	NUM
ejpam-3067	176	15	µ	µ	X
ejpam-3067	176	16	(	(	PUNCT
ejpam-3067	176	17	a−1x1y1	a−1x1y1	NOUN
ejpam-3067	176	18	+	+	CCONJ
ejpam-3067	176	19	cx1	cx1	NOUN
ejpam-3067	176	20	)	)	PUNCT
ejpam-3067	176	21	substitute	substitute	NOUN
ejpam-3067	176	22	(	(	PUNCT
ejpam-3067	176	23	18	18	NUM
ejpam-3067	176	24	)	)	PUNCT
ejpam-3067	176	25	in	in	ADP
ejpam-3067	176	26	x2	x2	INTJ
ejpam-3067	176	27	we	we	PRON
ejpam-3067	176	28	get	get	VERB
ejpam-3067	176	29	x2	x2	PROPN
ejpam-3067	177	1	=	=	SYM
ejpam-3067	177	2	1	1	NUM
ejpam-3067	177	3	µ	µ	X
ejpam-3067	177	4	(	(	PUNCT
ejpam-3067	177	5	(	(	PUNCT
ejpam-3067	177	6	aµ)−1x2y	aµ)−1x2y	X
ejpam-3067	177	7	2	2	NUM
ejpam-3067	177	8	1	1	NUM
ejpam-3067	177	9	+	+	CCONJ
ejpam-3067	177	10	c	c	PROPN
ejpam-3067	177	11	µ	µ	X
ejpam-3067	177	12	x2y1	x2y1	NOUN
ejpam-3067	177	13	)	)	PUNCT
ejpam-3067	178	1	ay21	ay21	PROPN
ejpam-3067	178	2	+	+	PROPN
ejpam-3067	178	3	by1	by1	NOUN
ejpam-3067	178	4	−	−	ADP
ejpam-3067	178	5	1	1	NUM
ejpam-3067	178	6	=	=	SYM
ejpam-3067	178	7	0	0	NUM
ejpam-3067	179	1	where	where	SCONJ
ejpam-3067	179	2	a	a	DET
ejpam-3067	179	3	=	=	SYM
ejpam-3067	179	4	1	1	NUM
ejpam-3067	179	5	aµ2	aµ2	NOUN
ejpam-3067	179	6	and	and	CCONJ
ejpam-3067	179	7	b	b	X
ejpam-3067	179	8	=	=	SYM
ejpam-3067	179	9	c	c	PROPN
ejpam-3067	179	10	µ	µ	X
ejpam-3067	179	11	.	.	PUNCT
ejpam-3067	180	1	hence	hence	ADV
ejpam-3067	180	2	y1	y1	ADV
ejpam-3067	180	3	=	=	PUNCT
ejpam-3067	180	4	−b	−b	NOUN
ejpam-3067	180	5	±	±	NUM
ejpam-3067	180	6	√	√	PROPN
ejpam-3067	180	7	b2	b2	NOUN
ejpam-3067	180	8	−	−	PROPN
ejpam-3067	180	9	4a	4a	NOUN
ejpam-3067	180	10	2a	2a	NUM
ejpam-3067	180	11	⇒	⇒	NOUN
ejpam-3067	180	12	y1	y1	NOUN
ejpam-3067	180	13	=	=	PUNCT
ejpam-3067	180	14	−c	−c	PROPN
ejpam-3067	180	15	µ	µ	PROPN
ejpam-3067	180	16	±	±	NOUN
ejpam-3067	180	17	√	√	PROPN
ejpam-3067	180	18	c2	c2	PROPN
ejpam-3067	180	19	µ2	µ2	PROPN
ejpam-3067	180	20	−	−	PROPN
ejpam-3067	180	21	4	4	NUM
ejpam-3067	180	22	aµ2	aµ2	PROPN
ejpam-3067	180	23	2	2	NUM
ejpam-3067	180	24	aµ2	aµ2	PROPN
ejpam-3067	180	25	a.	a.	PROPN
ejpam-3067	180	26	allahem	allahem	PROPN
ejpam-3067	180	27	/	/	SYM
ejpam-3067	180	28	eur	eur	PROPN
ejpam-3067	180	29	.	.	PUNCT
ejpam-3067	181	1	j.	j.	PROPN
ejpam-3067	181	2	pure	pure	PROPN
ejpam-3067	181	3	appl	appl	PROPN
ejpam-3067	181	4	.	.	PROPN
ejpam-3067	181	5	math	math	PROPN
ejpam-3067	181	6	,	,	PUNCT
ejpam-3067	181	7	10	10	NUM
ejpam-3067	181	8	(	(	PUNCT
ejpam-3067	181	9	4	4	NUM
ejpam-3067	181	10	)	)	PUNCT
ejpam-3067	181	11	(	(	PUNCT
ejpam-3067	181	12	2017	2017	NUM
ejpam-3067	181	13	)	)	PUNCT
ejpam-3067	181	14	,	,	PUNCT
ejpam-3067	181	15	858	858	NUM
ejpam-3067	181	16	-	-	SYM
ejpam-3067	181	17	870	870	NUM
ejpam-3067	181	18	865	865	NUM
ejpam-3067	181	19	rearrange	rearrange	VERB
ejpam-3067	181	20	the	the	DET
ejpam-3067	181	21	fraction	fraction	NOUN
ejpam-3067	181	22	of	of	ADP
ejpam-3067	181	23	y1	y1	ADJ
ejpam-3067	181	24	y1	y1	NOUN
ejpam-3067	181	25	=	=	PUNCT
ejpam-3067	181	26	−c±	−c±	PUNCT
ejpam-3067	181	27	√	√	PROPN
ejpam-3067	181	28	c2	c2	PROPN
ejpam-3067	181	29	−	−	PROPN
ejpam-3067	181	30	4	4	NUM
ejpam-3067	181	31	a	a	DET
ejpam-3067	181	32	2	2	NUM
ejpam-3067	181	33	/	/	SYM
ejpam-3067	181	34	aµ	aµ	PROPN
ejpam-3067	181	35	.	.	PUNCT
ejpam-3067	182	1	however	however	ADV
ejpam-3067	182	2	,	,	PUNCT
ejpam-3067	182	3	if	if	SCONJ
ejpam-3067	182	4	we	we	PRON
ejpam-3067	182	5	multiply	multiply	VERB
ejpam-3067	182	6	(	(	PUNCT
ejpam-3067	182	7	18	18	NUM
ejpam-3067	182	8	)	)	PUNCT
ejpam-3067	182	9	by	by	ADP
ejpam-3067	182	10	x1	x1	PROPN
ejpam-3067	182	11	and	and	CCONJ
ejpam-3067	182	12	use	use	VERB
ejpam-3067	182	13	the	the	DET
ejpam-3067	182	14	relation	relation	NOUN
ejpam-3067	182	15	in	in	ADP
ejpam-3067	182	16	(	(	PUNCT
ejpam-3067	182	17	17	17	NUM
ejpam-3067	182	18	)	)	PUNCT
ejpam-3067	182	19	,	,	PUNCT
ejpam-3067	182	20	then	then	ADV
ejpam-3067	182	21	it	it	PRON
ejpam-3067	182	22	simplifies	simplify	VERB
ejpam-3067	182	23	to	to	PART
ejpam-3067	182	24	become	become	VERB
ejpam-3067	182	25	y1	y1	NOUN
ejpam-3067	182	26	=	=	PUNCT
ejpam-3067	182	27	µx21	µx21	PROPN
ejpam-3067	182	28	which	which	PRON
ejpam-3067	182	29	means	mean	VERB
ejpam-3067	182	30	that	that	SCONJ
ejpam-3067	182	31	y1	y1	NOUN
ejpam-3067	182	32	is	be	AUX
ejpam-3067	182	33	always	always	ADV
ejpam-3067	182	34	positive	positive	ADJ
ejpam-3067	182	35	.	.	PUNCT
ejpam-3067	183	1	hence	hence	ADV
ejpam-3067	183	2	we	we	PRON
ejpam-3067	183	3	neglect	neglect	VERB
ejpam-3067	183	4	the	the	DET
ejpam-3067	183	5	negative	negative	ADJ
ejpam-3067	183	6	sign	sign	NOUN
ejpam-3067	183	7	of	of	ADP
ejpam-3067	183	8	the	the	DET
ejpam-3067	183	9	value	value	NOUN
ejpam-3067	183	10	of	of	ADP
ejpam-3067	183	11	y1	y1	PROPN
ejpam-3067	183	12	.	.	PUNCT
ejpam-3067	184	1	now	now	ADV
ejpam-3067	184	2	plug	plug	VERB
ejpam-3067	184	3	that	that	PRON
ejpam-3067	184	4	in	in	ADP
ejpam-3067	184	5	the	the	DET
ejpam-3067	184	6	equation	equation	NOUN
ejpam-3067	184	7	(	(	PUNCT
ejpam-3067	184	8	17	17	NUM
ejpam-3067	184	9	)	)	PUNCT
ejpam-3067	184	10	,	,	PUNCT
ejpam-3067	184	11	so	so	SCONJ
ejpam-3067	184	12	we	we	PRON
ejpam-3067	184	13	have	have	VERB
ejpam-3067	184	14	x1	x1	NOUN
ejpam-3067	184	15	=	=	SYM
ejpam-3067	184	16	(	(	PUNCT
ejpam-3067	184	17	−c±	−c±	PUNCT
ejpam-3067	184	18	√	√	PROPN
ejpam-3067	184	19	c2	c2	PROPN
ejpam-3067	184	20	−	−	PROPN
ejpam-3067	184	21	4	4	NUM
ejpam-3067	184	22	a	a	DET
ejpam-3067	184	23	2	2	NUM
ejpam-3067	184	24	/	/	SYM
ejpam-3067	184	25	aµ︸	aµ︸	PROPN
ejpam-3067	184	26	︷︷	︷︷	PROPN
ejpam-3067	184	27	︸	︸	ADP
ejpam-3067	185	1	h	h	PROPN
ejpam-3067	185	2	)	)	PUNCT
ejpam-3067	185	3	x2	x2	PROPN
ejpam-3067	185	4	,	,	PUNCT
ejpam-3067	185	5	then	then	ADV
ejpam-3067	185	6	substitute	substitute	VERB
ejpam-3067	185	7	it	it	PRON
ejpam-3067	185	8	in	in	ADP
ejpam-3067	185	9	(	(	PUNCT
ejpam-3067	185	10	17	17	NUM
ejpam-3067	185	11	)	)	PUNCT
ejpam-3067	185	12	hx22	hx22	PROPN
ejpam-3067	185	13	=	=	SYM
ejpam-3067	185	14	1	1	NUM
ejpam-3067	185	15	⇒	⇒	NOUN
ejpam-3067	185	16	x2	x2	NOUN
ejpam-3067	186	1	=	=	SYM
ejpam-3067	186	2	±	±	NUM
ejpam-3067	186	3	1√	1√	PROPN
ejpam-3067	186	4	h	h	NOUN
ejpam-3067	186	5	.	.	PUNCT
ejpam-3067	187	1	similarly	similarly	ADV
ejpam-3067	187	2	x1	x1	PRON
ejpam-3067	187	3	=	=	SYM
ejpam-3067	187	4	±	±	PROPN
ejpam-3067	187	5	√	√	PROPN
ejpam-3067	187	6	h.	h.	NOUN
ejpam-3067	187	7	as	as	ADP
ejpam-3067	187	8	a	a	DET
ejpam-3067	187	9	result	result	NOUN
ejpam-3067	187	10	the	the	DET
ejpam-3067	187	11	fixed	fix	VERB
ejpam-3067	187	12	point	point	NOUN
ejpam-3067	187	13	states	state	NOUN
ejpam-3067	187	14	are	be	AUX
ejpam-3067	187	15	given	give	VERB
ejpam-3067	187	16	by	by	ADP
ejpam-3067	187	17	:	:	PUNCT
ejpam-3067	187	18	x1	x1	PROPN
ejpam-3067	187	19	=	=	SYM
ejpam-3067	187	20	±	±	PROPN
ejpam-3067	187	21	√	√	PROPN
ejpam-3067	187	22	h	h	NOUN
ejpam-3067	187	23	,	,	PUNCT
ejpam-3067	187	24	x2	x2	PROPN
ejpam-3067	187	25	=	=	SYM
ejpam-3067	187	26	±	±	NUM
ejpam-3067	187	27	1√	1√	PROPN
ejpam-3067	187	28	h	h	NOUN
ejpam-3067	187	29	,	,	PUNCT
ejpam-3067	187	30	y1	y1	INTJ
ejpam-3067	187	31	=	=	SYM
ejpam-3067	187	32	µh	µh	NOUN
ejpam-3067	187	33	,	,	PUNCT
ejpam-3067	187	34	z1	z1	NOUN
ejpam-3067	187	35	=	=	SYM
ejpam-3067	188	1	√	√	PROPN
ejpam-3067	188	2	h	h	NOUN
ejpam-3067	188	3	λ	λ	X
ejpam-3067	188	4	z2	z2	NOUN
ejpam-3067	188	5	=	=	SYM
ejpam-3067	188	6	1	1	NUM
ejpam-3067	188	7	λ	λ	NOUN
ejpam-3067	188	8	√	√	NUM
ejpam-3067	188	9	h	h	NOUN
ejpam-3067	188	10	,	,	PUNCT
ejpam-3067	188	11	(	(	PUNCT
ejpam-3067	188	12	19	19	NUM
ejpam-3067	188	13	)	)	PUNCT
ejpam-3067	188	14	where	where	SCONJ
ejpam-3067	188	15	h	h	NOUN
ejpam-3067	188	16	=	=	PRON
ejpam-3067	188	17	(	(	PUNCT
ejpam-3067	188	18	−c±	−c±	PUNCT
ejpam-3067	188	19	√	√	PUNCT
ejpam-3067	188	20	c2−	c2−	ADP
ejpam-3067	188	21	4	4	NUM
ejpam-3067	188	22	a	a	DET
ejpam-3067	188	23	2	2	NUM
ejpam-3067	188	24	/	/	SYM
ejpam-3067	188	25	aµ	aµ	PROPN
ejpam-3067	188	26	)	)	PUNCT
ejpam-3067	188	27	and	and	CCONJ
ejpam-3067	188	28	µ	µ	X
ejpam-3067	188	29	=	=	SYM
ejpam-3067	188	30	1	1	NUM
ejpam-3067	188	31	+	+	CCONJ
ejpam-3067	188	32	β	β	X
ejpam-3067	188	33	/	/	SYM
ejpam-3067	188	34	λ	λ	NOUN
ejpam-3067	188	35	.	.	PUNCT
ejpam-3067	189	1	to	to	PART
ejpam-3067	189	2	study	study	VERB
ejpam-3067	189	3	the	the	DET
ejpam-3067	189	4	stability	stability	NOUN
ejpam-3067	189	5	of	of	ADP
ejpam-3067	189	6	(	(	PUNCT
ejpam-3067	189	7	10	10	NUM
ejpam-3067	189	8	)	)	PUNCT
ejpam-3067	189	9	we	we	PRON
ejpam-3067	189	10	need	need	VERB
ejpam-3067	189	11	to	to	PART
ejpam-3067	189	12	compute	compute	VERB
ejpam-3067	189	13	the	the	DET
ejpam-3067	189	14	jacobian	jacobian	ADJ
ejpam-3067	189	15	matrix	matrix	NOUN
ejpam-3067	189	16	of	of	ADP
ejpam-3067	189	17	the	the	DET
ejpam-3067	189	18	system	system	NOUN
ejpam-3067	189	19	(	(	PUNCT
ejpam-3067	189	20	10	10	NUM
ejpam-3067	189	21	)	)	PUNCT
ejpam-3067	189	22	.	.	PUNCT
ejpam-3067	190	1	thus	thus	ADV
ejpam-3067	190	2	,	,	PUNCT
ejpam-3067	190	3	we	we	PRON
ejpam-3067	190	4	get	get	VERB
ejpam-3067	190	5	j	j	NOUN
ejpam-3067	190	6	=	=	X
ejpam-3067	190	7			NOUN
ejpam-3067	191	1	−1	−1	NOUN
ejpam-3067	192	1	x2	x2	PROPN
ejpam-3067	193	1	−β	−β	PROPN
ejpam-3067	194	1	y1	y1	PROPN
ejpam-3067	194	2	0	0	PUNCT
ejpam-3067	195	1	−αx2	−αx2	PRON
ejpam-3067	195	2	0	0	NUM
ejpam-3067	195	3	0	0	NUM
ejpam-3067	196	1	−αx1	−αx1	NOUN
ejpam-3067	196	2	0	0	NUM
ejpam-3067	196	3	1	1	NUM
ejpam-3067	196	4	0	0	NUM
ejpam-3067	196	5	−λ	−λ	NOUN
ejpam-3067	196	6	0	0	NUM
ejpam-3067	196	7	0	0	NUM
ejpam-3067	196	8	l−1(a−1y1	l−1(a−1y1	NOUN
ejpam-3067	196	9	+	+	CCONJ
ejpam-3067	196	10	c	c	X
ejpam-3067	196	11	)	)	PUNCT
ejpam-3067	196	12	x1(al	x1(al	NUM
ejpam-3067	196	13	)	)	PUNCT
ejpam-3067	196	14	−1	−1	NOUN
ejpam-3067	196	15	0	0	NUM
ejpam-3067	196	16	−l−1	−l−1	NUM
ejpam-3067	196	17	−l−1β	−l−1β	X
ejpam-3067	196	18	0	0	NUM
ejpam-3067	196	19	0	0	NUM
ejpam-3067	196	20	0	0	NUM
ejpam-3067	196	21	b−1	b−1	PROPN
ejpam-3067	196	22	−b−1λ	−b−1λ	PROPN
ejpam-3067	196	23			NOUN
ejpam-3067	196	24	(	(	PUNCT
ejpam-3067	196	25	20	20	NUM
ejpam-3067	196	26	)	)	PUNCT
ejpam-3067	196	27	since	since	SCONJ
ejpam-3067	196	28	we	we	PRON
ejpam-3067	196	29	have	have	AUX
ejpam-3067	196	30	seen	see	VERB
ejpam-3067	196	31	a	a	DET
ejpam-3067	196	32	good	good	ADJ
ejpam-3067	196	33	result	result	NOUN
ejpam-3067	196	34	in	in	ADP
ejpam-3067	196	35	rikitake	rikitake	NOUN
ejpam-3067	196	36	equations	equation	NOUN
ejpam-3067	196	37	in	in	ADP
ejpam-3067	196	38	figure	figure	NOUN
ejpam-3067	196	39	1	1	NUM
ejpam-3067	196	40	when	when	SCONJ
ejpam-3067	196	41	µ	µ	X
ejpam-3067	196	42	=	=	SYM
ejpam-3067	196	43	1.1	1.1	NUM
ejpam-3067	196	44	and	and	CCONJ
ejpam-3067	196	45	γ	γ	X
ejpam-3067	196	46	=	=	SYM
ejpam-3067	196	47	7	7	NUM
ejpam-3067	196	48	,	,	PUNCT
ejpam-3067	196	49	we	we	PRON
ejpam-3067	196	50	are	be	AUX
ejpam-3067	196	51	going	go	VERB
ejpam-3067	196	52	to	to	PART
ejpam-3067	196	53	apply	apply	VERB
ejpam-3067	196	54	the	the	DET
ejpam-3067	196	55	same	same	ADJ
ejpam-3067	196	56	values	value	NOUN
ejpam-3067	196	57	of	of	ADP
ejpam-3067	196	58	parameters	parameter	NOUN
ejpam-3067	196	59	to	to	PART
ejpam-3067	196	60	find	find	VERB
ejpam-3067	196	61	the	the	DET
ejpam-3067	196	62	relationship	relationship	NOUN
ejpam-3067	196	63	between	between	ADP
ejpam-3067	196	64	the	the	DET
ejpam-3067	196	65	system	system	NOUN
ejpam-3067	196	66	(	(	PUNCT
ejpam-3067	196	67	10	10	NUM
ejpam-3067	196	68	)	)	PUNCT
ejpam-3067	196	69	and	and	CCONJ
ejpam-3067	196	70	rikitake	rikitake	NOUN
ejpam-3067	196	71	systems	system	NOUN
ejpam-3067	196	72	.	.	PUNCT
ejpam-3067	197	1	however	however	ADV
ejpam-3067	197	2	the	the	DET
ejpam-3067	197	3	limit	limit	NOUN
ejpam-3067	197	4	of	of	ADP
ejpam-3067	197	5	these	these	DET
ejpam-3067	197	6	parameters	parameter	NOUN
ejpam-3067	197	7	values	value	NOUN
ejpam-3067	197	8	come	come	VERB
ejpam-3067	197	9	form	form	NOUN
ejpam-3067	197	10	[	[	X
ejpam-3067	197	11	7	7	X
ejpam-3067	197	12	]	]	PUNCT
ejpam-3067	197	13	where	where	SCONJ
ejpam-3067	197	14	assumed	assume	VERB
ejpam-3067	197	15	k	k	PROPN
ejpam-3067	197	16	=	=	SYM
ejpam-3067	197	17	2	2	NUM
ejpam-3067	197	18	and	and	CCONJ
ejpam-3067	197	19	a	a	DET
ejpam-3067	197	20	value	value	NOUN
ejpam-3067	197	21	of	of	ADP
ejpam-3067	197	22	µ	µ	NOUN
ejpam-3067	197	23	between	between	ADP
ejpam-3067	197	24	1	1	NUM
ejpam-3067	197	25	and	and	CCONJ
ejpam-3067	197	26	2	2	NUM
ejpam-3067	197	27	which	which	DET
ejpam-3067	197	28	rikitake	rikitake	NOUN
ejpam-3067	197	29	model	model	NOUN
ejpam-3067	197	30	would	would	AUX
ejpam-3067	197	31	the	the	DET
ejpam-3067	197	32	observed	observed	ADJ
ejpam-3067	197	33	reversals	reversal	NOUN
ejpam-3067	197	34	are	be	AUX
ejpam-3067	197	35	most	most	ADV
ejpam-3067	197	36	faithfully	faithfully	ADV
ejpam-3067	197	37	.	.	PUNCT
ejpam-3067	198	1	the	the	DET
ejpam-3067	198	2	relation	relation	NOUN
ejpam-3067	198	3	occurs	occur	VERB
ejpam-3067	198	4	when	when	SCONJ
ejpam-3067	198	5	c	c	NOUN
ejpam-3067	198	6	=	=	SYM
ejpam-3067	198	7	−γ	−γ	NOUN
ejpam-3067	198	8	and	and	CCONJ
ejpam-3067	198	9	l	l	NOUN
ejpam-3067	198	10	=	=	PUNCT
ejpam-3067	198	11	a	a	DET
ejpam-3067	198	12	=	=	SYM
ejpam-3067	198	13	α	α	NOUN
ejpam-3067	198	14	=	=	SYM
ejpam-3067	198	15	λ	λ	SYM
ejpam-3067	198	16	=	=	SYM
ejpam-3067	198	17	1	1	NUM
ejpam-3067	198	18	and	and	CCONJ
ejpam-3067	198	19	keep	keep	VERB
ejpam-3067	198	20	the	the	DET
ejpam-3067	198	21	value	value	NOUN
ejpam-3067	198	22	of	of	ADP
ejpam-3067	198	23	b	b	NOUN
ejpam-3067	198	24	as	as	ADP
ejpam-3067	198	25	small	small	ADJ
ejpam-3067	198	26	value	value	NOUN
ejpam-3067	198	27	,	,	PUNCT
ejpam-3067	198	28	to	to	PART
ejpam-3067	198	29	be	be	AUX
ejpam-3067	198	30	0.001	0.001	NUM
ejpam-3067	198	31	.	.	PUNCT
ejpam-3067	199	1	since	since	SCONJ
ejpam-3067	199	2	µ	µ	NOUN
ejpam-3067	199	3	=	=	SYM
ejpam-3067	199	4	1.1	1.1	NUM
ejpam-3067	199	5	and	and	CCONJ
ejpam-3067	199	6	µ	µ	X
ejpam-3067	199	7	=	=	SYM
ejpam-3067	199	8	1	1	NUM
ejpam-3067	199	9	+	+	CCONJ
ejpam-3067	199	10	β	β	X
ejpam-3067	199	11	/	/	SYM
ejpam-3067	199	12	λ	λ	PROPN
ejpam-3067	199	13	,	,	PUNCT
ejpam-3067	199	14	then	then	ADV
ejpam-3067	199	15	β	β	NOUN
ejpam-3067	199	16	=	=	NOUN
ejpam-3067	199	17	0.1	0.1	NUM
ejpam-3067	199	18	.	.	PUNCT
ejpam-3067	200	1	before	before	ADP
ejpam-3067	200	2	substituting	substitute	VERB
ejpam-3067	200	3	fixed	fix	VERB
ejpam-3067	200	4	points	point	NOUN
ejpam-3067	200	5	in	in	ADP
ejpam-3067	200	6	the	the	DET
ejpam-3067	200	7	jacobian	jacobian	ADJ
ejpam-3067	200	8	matrix	matrix	NOUN
ejpam-3067	200	9	,	,	PUNCT
ejpam-3067	200	10	we	we	PRON
ejpam-3067	200	11	need	need	VERB
ejpam-3067	200	12	to	to	PART
ejpam-3067	200	13	calculate	calculate	VERB
ejpam-3067	200	14	the	the	DET
ejpam-3067	200	15	value	value	NOUN
ejpam-3067	200	16	of	of	ADP
ejpam-3067	200	17	x1	x1	PROPN
ejpam-3067	200	18	,	,	PUNCT
ejpam-3067	200	19	x2	x2	PROPN
ejpam-3067	200	20	,	,	PUNCT
ejpam-3067	200	21	y1	y1	NOUN
ejpam-3067	200	22	which	which	PRON
ejpam-3067	200	23	are	be	AUX
ejpam-3067	200	24	±2.55,±0.39	±2.55,±0.39	NUM
ejpam-3067	200	25	and	and	CCONJ
ejpam-3067	200	26	7.16	7.16	NUM
ejpam-3067	200	27	,	,	PUNCT
ejpam-3067	200	28	respectively	respectively	ADV
ejpam-3067	200	29	.	.	PUNCT
ejpam-3067	201	1	so	so	ADV
ejpam-3067	201	2	a.	a.	PROPN
ejpam-3067	201	3	allahem	allahem	PROPN
ejpam-3067	201	4	/	/	SYM
ejpam-3067	201	5	eur	eur	PROPN
ejpam-3067	201	6	.	.	PUNCT
ejpam-3067	202	1	j.	j.	PROPN
ejpam-3067	202	2	pure	pure	PROPN
ejpam-3067	202	3	appl	appl	PROPN
ejpam-3067	202	4	.	.	PROPN
ejpam-3067	202	5	math	math	PROPN
ejpam-3067	202	6	,	,	PUNCT
ejpam-3067	202	7	10	10	NUM
ejpam-3067	202	8	(	(	PUNCT
ejpam-3067	202	9	4	4	NUM
ejpam-3067	202	10	)	)	PUNCT
ejpam-3067	202	11	(	(	PUNCT
ejpam-3067	202	12	2017	2017	NUM
ejpam-3067	202	13	)	)	PUNCT
ejpam-3067	202	14	,	,	PUNCT
ejpam-3067	202	15	858	858	NUM
ejpam-3067	202	16	-	-	SYM
ejpam-3067	202	17	870	870	NUM
ejpam-3067	202	18	866	866	NUM
ejpam-3067	202	19	the	the	DET
ejpam-3067	202	20	jacobian	jacobian	ADJ
ejpam-3067	202	21	matrix	matrix	NOUN
ejpam-3067	202	22	at	at	ADP
ejpam-3067	202	23	the	the	DET
ejpam-3067	202	24	fixed	fix	VERB
ejpam-3067	202	25	points	point	NOUN
ejpam-3067	202	26	is	be	AUX
ejpam-3067	202	27	j(fp	j(fp	NOUN
ejpam-3067	202	28	)	)	PUNCT
ejpam-3067	203	1	=	=	PUNCT
ejpam-3067	203	2			NUM
ejpam-3067	203	3	−1	−1	NOUN
ejpam-3067	203	4	±0.39	±0.39	X
ejpam-3067	204	1	−0.1	−0.1	PROPN
ejpam-3067	204	2	7.16	7.16	NUM
ejpam-3067	204	3	0	0	NUM
ejpam-3067	204	4	∓0.39	∓0.39	NOUN
ejpam-3067	204	5	0	0	NUM
ejpam-3067	204	6	0	0	NUM
ejpam-3067	205	1	∓2.55	∓2.55	NOUN
ejpam-3067	205	2	0	0	NUM
ejpam-3067	205	3	1	1	NUM
ejpam-3067	205	4	0	0	NUM
ejpam-3067	205	5	−1	−1	NOUN
ejpam-3067	205	6	0	0	NUM
ejpam-3067	205	7	0	0	NUM
ejpam-3067	205	8	0.16	0.16	NUM
ejpam-3067	205	9	±2.55	±2.55	NOUN
ejpam-3067	205	10	0	0	NUM
ejpam-3067	205	11	−1	−1	NOUN
ejpam-3067	205	12	−0.1	−0.1	NOUN
ejpam-3067	205	13	0	0	NUM
ejpam-3067	205	14	0	0	NUM
ejpam-3067	205	15	0	0	NUM
ejpam-3067	205	16	1000	1000	NUM
ejpam-3067	205	17	−1000	−1000	NOUN
ejpam-3067	205	18			NOUN
ejpam-3067	205	19	(	(	PUNCT
ejpam-3067	205	20	21	21	NUM
ejpam-3067	205	21	)	)	PUNCT
ejpam-3067	205	22	thus	thus	ADV
ejpam-3067	205	23	the	the	DET
ejpam-3067	205	24	eigenvalues	eigenvalue	NOUN
ejpam-3067	205	25	are	be	AUX
ejpam-3067	205	26	as	as	SCONJ
ejpam-3067	205	27	follows	follow	VERB
ejpam-3067	205	28	-9.998998904039592e+002	-9.998998904039592e+002	NOUN
ejpam-3067	205	29	5.863307789355593e-003	5.863307789355593e-003	PROPN
ejpam-3067	205	30	+2.578916992181417e+000i	+2.578916992181417e+000i	NOUN
ejpam-3067	206	1	5.863307789355593e-003	5.863307789355593e-003	NUM
ejpam-3067	206	2	-2.578916992181417e+000i	-2.578916992181417e+000i	NOUN
ejpam-3067	207	1	-2.030767974296189e+000	-2.030767974296189e+000	INTJ
ejpam-3067	207	2	-1.081068237323492e+000	-1.081068237323492e+000	INTJ
ejpam-3067	208	1	since	since	SCONJ
ejpam-3067	208	2	we	we	PRON
ejpam-3067	208	3	have	have	VERB
ejpam-3067	208	4	three	three	NUM
ejpam-3067	208	5	negative	negative	ADJ
ejpam-3067	208	6	eigenvalues	eigenvalue	NOUN
ejpam-3067	208	7	and	and	CCONJ
ejpam-3067	208	8	a	a	DET
ejpam-3067	208	9	pair	pair	NOUN
ejpam-3067	208	10	of	of	ADP
ejpam-3067	208	11	complex	complex	ADJ
ejpam-3067	208	12	conjugate	conjugate	ADJ
ejpam-3067	208	13	eigenvalues	eigenvalue	NOUN
ejpam-3067	208	14	with	with	ADP
ejpam-3067	208	15	positive	positive	ADJ
ejpam-3067	208	16	real	real	ADJ
ejpam-3067	208	17	part	part	NOUN
ejpam-3067	208	18	,	,	PUNCT
ejpam-3067	208	19	this	this	PRON
ejpam-3067	208	20	gives	give	VERB
ejpam-3067	208	21	an	an	DET
ejpam-3067	208	22	indication	indication	NOUN
ejpam-3067	208	23	of	of	ADP
ejpam-3067	208	24	having	have	VERB
ejpam-3067	208	25	unstable	unstable	ADJ
ejpam-3067	208	26	centre	centre	NOUN
ejpam-3067	208	27	(	(	PUNCT
ejpam-3067	208	28	foci	focus	NOUN
ejpam-3067	208	29	)	)	PUNCT
ejpam-3067	208	30	equilibrium	equilibrium	NOUN
ejpam-3067	209	1	[	[	X
ejpam-3067	209	2	5	5	NUM
ejpam-3067	209	3	]	]	PUNCT
ejpam-3067	209	4	as	as	ADP
ejpam-3067	209	5	in	in	ADP
ejpam-3067	209	6	rikitake	rikitake	NOUN
ejpam-3067	209	7	equilibrium	equilibrium	NOUN
ejpam-3067	209	8	points	point	NOUN
ejpam-3067	209	9	.	.	PUNCT
ejpam-3067	210	1	the	the	DET
ejpam-3067	210	2	parameters	parameter	NOUN
ejpam-3067	210	3	values	value	VERB
ejpam-3067	210	4	as	as	ADP
ejpam-3067	210	5	those	those	PRON
ejpam-3067	210	6	in	in	ADP
ejpam-3067	210	7	rikitake	rikitake	NOUN
ejpam-3067	210	8	γ	γ	X
ejpam-3067	210	9	=	=	SYM
ejpam-3067	210	10	µ	µ	X
ejpam-3067	210	11	=	=	SYM
ejpam-3067	210	12	1.1	1.1	NUM
ejpam-3067	210	13	,	,	PUNCT
ejpam-3067	210	14	c	c	NOUN
ejpam-3067	210	15	=	=	SYM
ejpam-3067	210	16	−γ	−γ	NOUN
ejpam-3067	210	17	=	=	PUNCT
ejpam-3067	210	18	−7	−7	NOUN
ejpam-3067	210	19	and	and	CCONJ
ejpam-3067	210	20	l	l	NOUN
ejpam-3067	210	21	=	=	PUNCT
ejpam-3067	211	1	a	a	DET
ejpam-3067	211	2	=	=	PUNCT
ejpam-3067	211	3	α	α	NOUN
ejpam-3067	211	4	=	=	SYM
ejpam-3067	211	5	1	1	NUM
ejpam-3067	212	1	and	and	CCONJ
ejpam-3067	212	2	keep	keep	VERB
ejpam-3067	212	3	the	the	DET
ejpam-3067	212	4	value	value	NOUN
ejpam-3067	212	5	of	of	ADP
ejpam-3067	212	6	b	b	NOUN
ejpam-3067	212	7	as	as	ADP
ejpam-3067	212	8	small	small	ADJ
ejpam-3067	212	9	value	value	NOUN
ejpam-3067	212	10	,	,	PUNCT
ejpam-3067	212	11	to	to	PART
ejpam-3067	212	12	be	be	AUX
ejpam-3067	212	13	0.001	0.001	NUM
ejpam-3067	212	14	to	to	PART
ejpam-3067	212	15	show	show	VERB
ejpam-3067	212	16	the	the	DET
ejpam-3067	212	17	phase	phase	NOUN
ejpam-3067	212	18	portrait	portrait	NOUN
ejpam-3067	212	19	in	in	ADP
ejpam-3067	212	20	system	system	NOUN
ejpam-3067	212	21	(	(	PUNCT
ejpam-3067	212	22	10	10	NUM
ejpam-3067	212	23	)	)	PUNCT
ejpam-3067	212	24	.	.	PUNCT
ejpam-3067	213	1	it	it	PRON
ejpam-3067	213	2	would	would	AUX
ejpam-3067	213	3	be	be	AUX
ejpam-3067	213	4	shown	show	VERB
ejpam-3067	213	5	in	in	ADP
ejpam-3067	213	6	figures	figure	NOUN
ejpam-3067	213	7	2	2	NUM
ejpam-3067	213	8	and	and	CCONJ
ejpam-3067	213	9	3	3	NUM
ejpam-3067	213	10	,	,	PUNCT
ejpam-3067	213	11	respectively	respectively	ADV
ejpam-3067	213	12	.	.	PUNCT
ejpam-3067	214	1	it	it	PRON
ejpam-3067	214	2	shows	show	VERB
ejpam-3067	214	3	that	that	SCONJ
ejpam-3067	214	4	the	the	DET
ejpam-3067	214	5	solution	solution	NOUN
ejpam-3067	214	6	of	of	ADP
ejpam-3067	214	7	x2	x2	PROPN
ejpam-3067	214	8	and	and	CCONJ
ejpam-3067	214	9	z2	z2	PROPN
ejpam-3067	214	10	is	be	AUX
ejpam-3067	214	11	clearly	clearly	ADV
ejpam-3067	214	12	having	have	VERB
ejpam-3067	214	13	same	same	ADJ
ejpam-3067	214	14	behaviour	behaviour	NOUN
ejpam-3067	214	15	.	.	PUNCT
ejpam-3067	215	1	it	it	PRON
ejpam-3067	215	2	also	also	ADV
ejpam-3067	215	3	shows	show	VERB
ejpam-3067	215	4	that	that	DET
ejpam-3067	215	5	phase	phase	NOUN
ejpam-3067	215	6	portrait	portrait	NOUN
ejpam-3067	215	7	in	in	ADP
ejpam-3067	215	8	the	the	DET
ejpam-3067	215	9	(	(	PUNCT
ejpam-3067	215	10	x2	x2	PROPN
ejpam-3067	215	11	,	,	PUNCT
ejpam-3067	215	12	z2	z2	PROPN
ejpam-3067	215	13	)	)	PUNCT
ejpam-3067	215	14	,	,	PUNCT
ejpam-3067	215	15	(	(	PUNCT
ejpam-3067	215	16	x1	x1	X
ejpam-3067	215	17	,	,	PUNCT
ejpam-3067	215	18	x2	x2	PROPN
ejpam-3067	215	19	)	)	PUNCT
ejpam-3067	215	20	,	,	PUNCT
ejpam-3067	215	21	(	(	PUNCT
ejpam-3067	215	22	z1	z1	PROPN
ejpam-3067	215	23	,	,	PUNCT
ejpam-3067	215	24	z2	z2	PROPN
ejpam-3067	215	25	)	)	PUNCT
ejpam-3067	215	26	,	,	PUNCT
ejpam-3067	215	27	(	(	PUNCT
ejpam-3067	215	28	z1	z1	PROPN
ejpam-3067	215	29	,	,	PUNCT
ejpam-3067	215	30	z2	z2	PROPN
ejpam-3067	215	31	)	)	PUNCT
ejpam-3067	215	32	.	.	PUNCT
ejpam-3067	216	1	(	(	PUNCT
ejpam-3067	216	2	x2	x2	PROPN
ejpam-3067	216	3	,	,	PUNCT
ejpam-3067	216	4	y1	y1	PROPN
ejpam-3067	216	5	)	)	PUNCT
ejpam-3067	216	6	,	,	PUNCT
ejpam-3067	216	7	(	(	PUNCT
ejpam-3067	216	8	x1	x1	PROPN
ejpam-3067	216	9	,	,	PUNCT
ejpam-3067	216	10	z2	z2	PROPN
ejpam-3067	216	11	)	)	PUNCT
ejpam-3067	216	12	and	and	CCONJ
ejpam-3067	216	13	(	(	PUNCT
ejpam-3067	216	14	x2	x2	PROPN
ejpam-3067	216	15	,	,	PUNCT
ejpam-3067	216	16	z1	z1	PROPN
ejpam-3067	216	17	)	)	PUNCT
ejpam-3067	216	18	are	be	AUX
ejpam-3067	216	19	indicated	indicate	VERB
ejpam-3067	216	20	of	of	ADP
ejpam-3067	216	21	chaos	chaos	NOUN
ejpam-3067	216	22	behaviour	behaviour	NOUN
ejpam-3067	216	23	.	.	PUNCT
ejpam-3067	217	1	the	the	DET
ejpam-3067	217	2	behaviours	behaviour	NOUN
ejpam-3067	217	3	of	of	ADP
ejpam-3067	217	4	(	(	PUNCT
ejpam-3067	217	5	x1	x1	PROPN
ejpam-3067	217	6	,	,	PUNCT
ejpam-3067	217	7	y1	y1	NOUN
ejpam-3067	217	8	)	)	PUNCT
ejpam-3067	217	9	are	be	AUX
ejpam-3067	217	10	similar	similar	ADJ
ejpam-3067	217	11	to	to	ADP
ejpam-3067	217	12	the	the	DET
ejpam-3067	217	13	behaviours	behaviour	NOUN
ejpam-3067	217	14	of	of	ADP
ejpam-3067	217	15	(	(	PUNCT
ejpam-3067	217	16	x	x	NOUN
ejpam-3067	217	17	,	,	PUNCT
ejpam-3067	217	18	y	y	NOUN
ejpam-3067	217	19	)	)	PUNCT
ejpam-3067	217	20	in	in	ADP
ejpam-3067	217	21	rikitike	rikitike	NOUN
ejpam-3067	217	22	system	system	NOUN
ejpam-3067	217	23	.	.	PUNCT
ejpam-3067	218	1	also	also	ADV
ejpam-3067	218	2	,	,	PUNCT
ejpam-3067	218	3	the	the	DET
ejpam-3067	218	4	behaviours	behaviour	NOUN
ejpam-3067	218	5	of	of	ADP
ejpam-3067	218	6	(	(	PUNCT
ejpam-3067	218	7	x2	x2	PROPN
ejpam-3067	218	8	,	,	PUNCT
ejpam-3067	218	9	y1	y1	PROPN
ejpam-3067	218	10	)	)	PUNCT
ejpam-3067	218	11	or	or	CCONJ
ejpam-3067	218	12	(	(	PUNCT
ejpam-3067	218	13	z2	z2	PROPN
ejpam-3067	218	14	,	,	PUNCT
ejpam-3067	218	15	y1	y1	NOUN
ejpam-3067	218	16	)	)	PUNCT
ejpam-3067	218	17	are	be	AUX
ejpam-3067	218	18	similar	similar	ADJ
ejpam-3067	218	19	to	to	ADP
ejpam-3067	218	20	the	the	DET
ejpam-3067	218	21	behaviours	behaviour	NOUN
ejpam-3067	218	22	of	of	ADP
ejpam-3067	218	23	(	(	PUNCT
ejpam-3067	218	24	z	z	PROPN
ejpam-3067	218	25	,	,	PUNCT
ejpam-3067	218	26	y	y	PROPN
ejpam-3067	218	27	)	)	PUNCT
ejpam-3067	218	28	in	in	ADP
ejpam-3067	218	29	rikitike	rikitike	NOUN
ejpam-3067	218	30	system	system	NOUN
ejpam-3067	218	31	.	.	PUNCT
ejpam-3067	219	1	moreover	moreover	ADV
ejpam-3067	219	2	,	,	PUNCT
ejpam-3067	219	3	the	the	DET
ejpam-3067	219	4	behaviours	behaviour	NOUN
ejpam-3067	219	5	of	of	ADP
ejpam-3067	219	6	(	(	PUNCT
ejpam-3067	219	7	x1	x1	PROPN
ejpam-3067	219	8	,	,	PUNCT
ejpam-3067	219	9	x2	x2	PROPN
ejpam-3067	219	10	)	)	PUNCT
ejpam-3067	219	11	and	and	CCONJ
ejpam-3067	219	12	(	(	PUNCT
ejpam-3067	219	13	x1	x1	PROPN
ejpam-3067	219	14	,	,	PUNCT
ejpam-3067	219	15	z2	z2	PROPN
ejpam-3067	219	16	)	)	PUNCT
ejpam-3067	219	17	are	be	AUX
ejpam-3067	219	18	similar	similar	ADJ
ejpam-3067	219	19	.	.	PUNCT
ejpam-3067	220	1	the	the	DET
ejpam-3067	220	2	behaviours	behaviour	NOUN
ejpam-3067	220	3	of	of	ADP
ejpam-3067	220	4	(	(	PUNCT
ejpam-3067	220	5	z1	z1	PROPN
ejpam-3067	220	6	,	,	PUNCT
ejpam-3067	220	7	x2	x2	PROPN
ejpam-3067	220	8	)	)	PUNCT
ejpam-3067	220	9	and	and	CCONJ
ejpam-3067	220	10	(	(	PUNCT
ejpam-3067	220	11	z1	z1	PROPN
ejpam-3067	220	12	,	,	PUNCT
ejpam-3067	220	13	z2	z2	PROPN
ejpam-3067	220	14	)	)	PUNCT
ejpam-3067	220	15	are	be	AUX
ejpam-3067	220	16	similar	similar	ADJ
ejpam-3067	220	17	.	.	PUNCT
ejpam-3067	221	1	also	also	ADV
ejpam-3067	221	2	,	,	PUNCT
ejpam-3067	221	3	the	the	DET
ejpam-3067	221	4	behaviours	behaviour	NOUN
ejpam-3067	221	5	of	of	ADP
ejpam-3067	221	6	(	(	PUNCT
ejpam-3067	221	7	y1	y1	PROPN
ejpam-3067	221	8	,	,	PUNCT
ejpam-3067	221	9	z2	z2	PROPN
ejpam-3067	221	10	)	)	PUNCT
ejpam-3067	221	11	and	and	CCONJ
ejpam-3067	221	12	(	(	PUNCT
ejpam-3067	221	13	y1	y1	INTJ
ejpam-3067	221	14	,	,	PUNCT
ejpam-3067	221	15	x2	x2	PROPN
ejpam-3067	221	16	)	)	PUNCT
ejpam-3067	221	17	are	be	AUX
ejpam-3067	221	18	similar	similar	ADJ
ejpam-3067	221	19	.	.	PUNCT
ejpam-3067	222	1	4	4	X
ejpam-3067	222	2	.	.	X
ejpam-3067	222	3	conclusion	conclusion	VERB
ejpam-3067	222	4	the	the	DET
ejpam-3067	222	5	system	system	NOUN
ejpam-3067	222	6	of	of	ADP
ejpam-3067	222	7	a	a	DET
ejpam-3067	222	8	double	double	ADJ
ejpam-3067	222	9	disk	disk	NOUN
ejpam-3067	222	10	dynamo	dynamo	NOUN
ejpam-3067	222	11	with	with	ADP
ejpam-3067	222	12	motors	motor	NOUN
ejpam-3067	222	13	is	be	AUX
ejpam-3067	222	14	valuable	valuable	ADJ
ejpam-3067	222	15	and	and	CCONJ
ejpam-3067	222	16	many	many	ADJ
ejpam-3067	222	17	cases	case	NOUN
ejpam-3067	222	18	can	can	AUX
ejpam-3067	222	19	be	be	AUX
ejpam-3067	222	20	studied	study	VERB
ejpam-3067	222	21	to	to	PART
ejpam-3067	222	22	see	see	VERB
ejpam-3067	222	23	the	the	DET
ejpam-3067	222	24	beauty	beauty	NOUN
ejpam-3067	222	25	of	of	ADP
ejpam-3067	222	26	the	the	DET
ejpam-3067	222	27	dynamical	dynamical	ADJ
ejpam-3067	222	28	system	system	NOUN
ejpam-3067	222	29	including	include	VERB
ejpam-3067	222	30	,	,	PUNCT
ejpam-3067	222	31	chaos	chaos	NOUN
ejpam-3067	222	32	,	,	PUNCT
ejpam-3067	222	33	bifurcations	bifurcation	NOUN
ejpam-3067	222	34	and	and	CCONJ
ejpam-3067	222	35	periodic	periodic	ADJ
ejpam-3067	222	36	orbits	orbit	NOUN
ejpam-3067	222	37	.	.	PUNCT
ejpam-3067	223	1	in	in	ADP
ejpam-3067	223	2	our	our	PRON
ejpam-3067	223	3	case	case	NOUN
ejpam-3067	223	4	,	,	PUNCT
ejpam-3067	223	5	we	we	PRON
ejpam-3067	223	6	show	show	VERB
ejpam-3067	223	7	how	how	SCONJ
ejpam-3067	223	8	well	well	ADV
ejpam-3067	223	9	-	-	PUNCT
ejpam-3067	223	10	known	know	VERB
ejpam-3067	223	11	system	system	NOUN
ejpam-3067	223	12	can	can	AUX
ejpam-3067	223	13	derived	derive	VERB
ejpam-3067	223	14	from	from	ADP
ejpam-3067	223	15	the	the	DET
ejpam-3067	223	16	original	original	ADJ
ejpam-3067	223	17	system	system	NOUN
ejpam-3067	223	18	using	use	VERB
ejpam-3067	223	19	the	the	DET
ejpam-3067	223	20	reduction	reduction	NOUN
ejpam-3067	223	21	method	method	NOUN
ejpam-3067	223	22	provided	provide	VERB
ejpam-3067	223	23	.	.	PUNCT
ejpam-3067	224	1	a	a	DET
ejpam-3067	224	2	further	further	ADJ
ejpam-3067	224	3	cases	case	NOUN
ejpam-3067	224	4	can	can	AUX
ejpam-3067	224	5	be	be	AUX
ejpam-3067	224	6	studied	study	VERB
ejpam-3067	224	7	be	be	AUX
ejpam-3067	224	8	setting	set	VERB
ejpam-3067	224	9	the	the	DET
ejpam-3067	224	10	parameters	parameter	NOUN
ejpam-3067	224	11	to	to	PART
ejpam-3067	224	12	investigate	investigate	VERB
ejpam-3067	224	13	many	many	ADJ
ejpam-3067	224	14	possibility	possibility	NOUN
ejpam-3067	224	15	in	in	ADP
ejpam-3067	224	16	the	the	DET
ejpam-3067	224	17	dynamical	dynamical	ADJ
ejpam-3067	224	18	system	system	NOUN
ejpam-3067	224	19	theory	theory	NOUN
ejpam-3067	224	20	.	.	PUNCT
ejpam-3067	225	1	acknowledgements	acknowledgement	NOUN
ejpam-3067	225	2	the	the	DET
ejpam-3067	225	3	author	author	NOUN
ejpam-3067	225	4	is	be	AUX
ejpam-3067	225	5	supported	support	VERB
ejpam-3067	225	6	by	by	ADP
ejpam-3067	225	7	qassim	qassim	PROPN
ejpam-3067	225	8	university	university	PROPN
ejpam-3067	225	9	and	and	CCONJ
ejpam-3067	225	10	the	the	DET
ejpam-3067	225	11	ministry	ministry	PROPN
ejpam-3067	225	12	of	of	ADP
ejpam-3067	225	13	education	education	PROPN
ejpam-3067	225	14	of	of	ADP
ejpam-3067	225	15	saudi	saudi	PROPN
ejpam-3067	225	16	arabia	arabia	PROPN
ejpam-3067	225	17	.	.	PUNCT
ejpam-3067	226	1	references	reference	NOUN
ejpam-3067	226	2	867	867	NUM
ejpam-3067	226	3	references	reference	NOUN
ejpam-3067	226	4	[	[	X
ejpam-3067	226	5	1	1	NUM
ejpam-3067	226	6	]	]	X
ejpam-3067	226	7	a.e	a.e	PROPN
ejpam-3067	226	8	.	.	PROPN
ejpam-3067	226	9	cook	cook	PROPN
ejpam-3067	226	10	and	and	CCONJ
ejpam-3067	226	11	p.h	p.h	PROPN
ejpam-3067	226	12	.	.	PROPN
ejpam-3067	226	13	roberts	roberts	PROPN
ejpam-3067	226	14	.	.	PUNCT
ejpam-3067	227	1	the	the	DET
ejpam-3067	227	2	rikitake	rikitake	NOUN
ejpam-3067	227	3	two	two	NUM
ejpam-3067	227	4	-	-	PUNCT
ejpam-3067	227	5	disc	disc	NOUN
ejpam-3067	227	6	dynamo	dynamo	NOUN
ejpam-3067	227	7	system	system	NOUN
ejpam-3067	227	8	.	.	PUNCT
ejpam-3067	228	1	proc	proc	PROPN
ejpam-3067	228	2	.	.	PUNCT
ejpam-3067	229	1	cambridge	cambridge	PROPN
ejpam-3067	229	2	philos	philos	PROPN
ejpam-3067	229	3	soc	soc	PROPN
ejpam-3067	229	4	.	.	PUNCT
ejpam-3067	229	5	,	,	PUNCT
ejpam-3067	229	6	68:547	68:547	PROPN
ejpam-3067	229	7	,	,	PUNCT
ejpam-3067	229	8	1970	1970	NUM
ejpam-3067	229	9	.	.	PUNCT
ejpam-3067	230	1	[	[	X
ejpam-3067	230	2	2	2	NUM
ejpam-3067	230	3	]	]	PUNCT
ejpam-3067	230	4	bullard	bullard	PROPN
ejpam-3067	230	5	e.c	e.c	PROPN
ejpam-3067	230	6	.	.	PROPN
ejpam-3067	230	7	the	the	DET
ejpam-3067	230	8	stability	stability	NOUN
ejpam-3067	230	9	of	of	ADP
ejpam-3067	230	10	a	a	DET
ejpam-3067	230	11	homopolar	homopolar	ADJ
ejpam-3067	230	12	dynamo	dynamo	NOUN
ejpam-3067	230	13	.	.	PUNCT
ejpam-3067	230	14	proc	proc	PROPN
ejpam-3067	230	15	.	.	PUNCT
ejpam-3067	231	1	cambridge	cambridge	PROPN
ejpam-3067	231	2	philos	philos	PROPN
ejpam-3067	231	3	soc	soc	PROPN
ejpam-3067	231	4	.	.	PUNCT
ejpam-3067	231	5	,	,	PUNCT
ejpam-3067	232	1	51:744–760	51:744–760	NUM
ejpam-3067	232	2	,	,	PUNCT
ejpam-3067	232	3	1955	1955	NUM
ejpam-3067	232	4	.	.	PUNCT
ejpam-3067	233	1	[	[	X
ejpam-3067	233	2	3	3	X
ejpam-3067	233	3	]	]	X
ejpam-3067	233	4	skeldon	skeldon	ADJ
ejpam-3067	233	5	a.	a.	PROPN
ejpam-3067	233	6	c.	c.	PROPN
ejpam-3067	233	7	hide	hide	VERB
ejpam-3067	233	8	r.	r.	PROPN
ejpam-3067	233	9	and	and	CCONJ
ejpam-3067	233	10	acheson	acheson	PROPN
ejpam-3067	233	11	d.	d.	PROPN
ejpam-3067	233	12	a	a	DET
ejpam-3067	233	13	study	study	NOUN
ejpam-3067	233	14	of	of	ADP
ejpam-3067	233	15	two	two	NUM
ejpam-3067	233	16	novel	novel	ADJ
ejpam-3067	233	17	self	self	NOUN
ejpam-3067	233	18	-	-	PUNCT
ejpam-3067	233	19	exciting	exciting	ADJ
ejpam-3067	233	20	single	single	ADJ
ejpam-3067	233	21	-	-	PUNCT
ejpam-3067	233	22	disk	disk	NOUN
ejpam-3067	233	23	homopolar	homopolar	ADJ
ejpam-3067	233	24	dynamos	dynamos	NOUN
ejpam-3067	233	25	:	:	PUNCT
ejpam-3067	233	26	theory	theory	NOUN
ejpam-3067	233	27	.	.	PUNCT
ejpam-3067	234	1	proc	proc	PROPN
ejpam-3067	234	2	.	.	PUNCT
ejpam-3067	235	1	r.	r.	PROPN
ejpam-3067	235	2	soc	soc	PROPN
ejpam-3067	235	3	.	.	PUNCT
ejpam-3067	236	1	lond	lond	PROPN
ejpam-3067	236	2	,	,	PUNCT
ejpam-3067	236	3	pages	page	NOUN
ejpam-3067	236	4	1369–1395	1369–1395	NUM
ejpam-3067	236	5	,	,	PUNCT
ejpam-3067	236	6	1996	1996	NUM
ejpam-3067	236	7	.	.	PUNCT
ejpam-3067	237	1	[	[	X
ejpam-3067	237	2	4	4	NUM
ejpam-3067	237	3	]	]	X
ejpam-3067	237	4	andrew	andrew	PROPN
ejpam-3067	237	5	m.	m.	PROPN
ejpam-3067	237	6	soward	soward	PROPN
ejpam-3067	237	7	irene	irene	PROPN
ejpam-3067	237	8	m.	m.	PROPN
ejpam-3067	237	9	moroz	moroz	PROPN
ejpam-3067	237	10	,	,	PUNCT
ejpam-3067	237	11	raymond	raymond	PROPN
ejpam-3067	237	12	hide	hide	VERB
ejpam-3067	237	13	.	.	PUNCT
ejpam-3067	238	1	on	on	ADP
ejpam-3067	238	2	self	self	NOUN
ejpam-3067	238	3	-	-	PUNCT
ejpam-3067	238	4	exciting	excite	VERB
ejpam-3067	238	5	coupled	couple	VERB
ejpam-3067	238	6	faraday	faraday	PROPN
ejpam-3067	238	7	disk	disk	PROPN
ejpam-3067	238	8	homopolar	homopolar	PROPN
ejpam-3067	238	9	dynamos	dynamos	PROPN
ejpam-3067	238	10	driving	driving	PROPN
ejpam-3067	238	11	series	series	PROPN
ejpam-3067	238	12	motors	motors	PROPN
ejpam-3067	238	13	.	.	PUNCT
ejpam-3067	239	1	physica	physica	PROPN
ejpam-3067	239	2	d	d	PROPN
ejpam-3067	239	3	,	,	PUNCT
ejpam-3067	239	4	117:128–144	117:128–144	NUM
ejpam-3067	239	5	,	,	PUNCT
ejpam-3067	239	6	1998	1998	NUM
ejpam-3067	239	7	.	.	PUNCT
ejpam-3067	240	1	[	[	X
ejpam-3067	240	2	5	5	NUM
ejpam-3067	240	3	]	]	X
ejpam-3067	240	4	guckenheimer	guckenheimer	PROPN
ejpam-3067	240	5	j.	j.	PROPN
ejpam-3067	240	6	and	and	CCONJ
ejpam-3067	240	7	p.	p.	PROPN
ejpam-3067	240	8	holmes	holmes	PROPN
ejpam-3067	240	9	.	.	PUNCT
ejpam-3067	241	1	nonlinear	nonlinear	ADJ
ejpam-3067	241	2	oscillations	oscillation	NOUN
ejpam-3067	241	3	,	,	PUNCT
ejpam-3067	241	4	dynamical	dynamical	ADJ
ejpam-3067	241	5	sytems	sytem	NOUN
ejpam-3067	241	6	and	and	CCONJ
ejpam-3067	241	7	bifurcations	bifurcation	NOUN
ejpam-3067	241	8	of	of	ADP
ejpam-3067	241	9	vector	vector	NOUN
ejpam-3067	241	10	fields	field	NOUN
ejpam-3067	241	11	.	.	PUNCT
ejpam-3067	242	1	springer	springer	NOUN
ejpam-3067	242	2	-	-	PUNCT
ejpam-3067	242	3	verlag	verlag	PROPN
ejpam-3067	242	4	,	,	PUNCT
ejpam-3067	242	5	1998	1998	NUM
ejpam-3067	242	6	.	.	PUNCT
ejpam-3067	243	1	[	[	X
ejpam-3067	243	2	6	6	NUM
ejpam-3067	243	3	]	]	PUNCT
ejpam-3067	243	4	wlodzimierz	wlodzimierz	NOUN
ejpam-3067	243	5	klonowski	klonowski	PROPN
ejpam-3067	243	6	.	.	PUNCT
ejpam-3067	244	1	simplifying	simplify	VERB
ejpam-3067	244	2	principles	principle	NOUN
ejpam-3067	244	3	for	for	ADP
ejpam-3067	244	4	chemical	chemical	NOUN
ejpam-3067	244	5	and	and	CCONJ
ejpam-3067	244	6	enzyme	enzyme	NOUN
ejpam-3067	244	7	reaction	reaction	NOUN
ejpam-3067	244	8	kinetics	kinetic	NOUN
ejpam-3067	244	9	.	.	PUNCT
ejpam-3067	245	1	biophysical	biophysical	ADJ
ejpam-3067	245	2	chemistry	chemistry	NOUN
ejpam-3067	245	3	,	,	PUNCT
ejpam-3067	245	4	18(2):73–87	18(2):73–87	NUM
ejpam-3067	245	5	,	,	PUNCT
ejpam-3067	245	6	1983	1983	NUM
ejpam-3067	245	7	.	.	PUNCT
ejpam-3067	246	1	[	[	X
ejpam-3067	246	2	7	7	X
ejpam-3067	246	3	]	]	PUNCT
ejpam-3067	246	4	hide	hide	VERB
ejpam-3067	246	5	r.	r.	PROPN
ejpam-3067	246	6	the	the	DET
ejpam-3067	246	7	nonlinear	nonlinear	ADJ
ejpam-3067	246	8	differential	differential	ADJ
ejpam-3067	246	9	equations	equation	NOUN
ejpam-3067	246	10	governing	govern	VERB
ejpam-3067	246	11	a	a	DET
ejpam-3067	246	12	hierarchy	hierarchy	NOUN
ejpam-3067	246	13	of	of	ADP
ejpam-3067	246	14	self	self	NOUN
ejpam-3067	246	15	-	-	PUNCT
ejpam-3067	246	16	exciting	excite	VERB
ejpam-3067	246	17	coupled	couple	VERB
ejpam-3067	246	18	faraday	faraday	NOUN
ejpam-3067	246	19	-	-	PUNCT
ejpam-3067	246	20	disk	disk	NOUN
ejpam-3067	246	21	homopolar	homopolar	ADJ
ejpam-3067	246	22	dynamos	dynamos	NOUN
ejpam-3067	246	23	.	.	PUNCT
ejpam-3067	247	1	phys	phy	NOUN
ejpam-3067	247	2	.	.	PUNCT
ejpam-3067	248	1	earth	earth	NOUN
ejpam-3067	248	2	plant	plant	NOUN
ejpam-3067	248	3	.	.	PUNCT
ejpam-3067	249	1	int	int	NOUN
ejpam-3067	249	2	.	.	PUNCT
ejpam-3067	249	3	,	,	PUNCT
ejpam-3067	249	4	103:281–291	103:281–291	NUM
ejpam-3067	249	5	,	,	PUNCT
ejpam-3067	249	6	1997	1997	NUM
ejpam-3067	249	7	.	.	PUNCT
ejpam-3067	250	1	[	[	X
ejpam-3067	250	2	8	8	NUM
ejpam-3067	250	3	]	]	X
ejpam-3067	250	4	p.	p.	PROPN
ejpam-3067	250	5	swinnton	swinnton	PROPN
ejpam-3067	250	6	-	-	PUNCT
ejpam-3067	250	7	dyer	dyer	NOUN
ejpam-3067	250	8	and	and	CCONJ
ejpam-3067	250	9	t.	t.	NOUN
ejpam-3067	250	10	wegenknecht	wegenknecht	NOUN
ejpam-3067	250	11	.	.	PUNCT
ejpam-3067	251	1	some	some	DET
ejpam-3067	251	2	third	third	ADJ
ejpam-3067	251	3	order	order	NOUN
ejpam-3067	251	4	ordinary	ordinary	ADJ
ejpam-3067	251	5	differential	differential	ADJ
ejpam-3067	251	6	equations	equation	NOUN
ejpam-3067	251	7	.	.	PUNCT
ejpam-3067	252	1	bull	bull	PROPN
ejpam-3067	252	2	london	london	PROPN
ejpam-3067	252	3	math	math	PROPN
ejpam-3067	252	4	soc	soc	PROPN
ejpam-3067	252	5	,	,	PUNCT
ejpam-3067	252	6	40(5):725–748	40(5):725–748	PROPN
ejpam-3067	252	7	,	,	PUNCT
ejpam-3067	252	8	2008	2008	NUM
ejpam-3067	252	9	.	.	PUNCT
ejpam-3067	253	1	[	[	X
ejpam-3067	253	2	9	9	NUM
ejpam-3067	253	3	]	]	X
ejpam-3067	253	4	rikitake	rikitake	NOUN
ejpam-3067	253	5	t.	t.	NOUN
ejpam-3067	253	6	oscillations	oscillation	NOUN
ejpam-3067	253	7	of	of	ADP
ejpam-3067	253	8	a	a	DET
ejpam-3067	253	9	system	system	NOUN
ejpam-3067	253	10	of	of	ADP
ejpam-3067	253	11	disk	disk	NOUN
ejpam-3067	253	12	dynamos	dynamos	PROPN
ejpam-3067	253	13	.	.	PUNCT
ejpam-3067	254	1	proc	proc	PROPN
ejpam-3067	254	2	.	.	PUNCT
ejpam-3067	255	1	cambridge	cambridge	PROPN
ejpam-3067	255	2	philos	philos	PROPN
ejpam-3067	255	3	soc	soc	PROPN
ejpam-3067	255	4	.	.	PROPN
ejpam-3067	255	5	,	,	PUNCT
ejpam-3067	255	6	54:89–105	54:89–105	NUM
ejpam-3067	255	7	,	,	PUNCT
ejpam-3067	255	8	1958	1958	NUM
ejpam-3067	255	9	.	.	PUNCT
ejpam-3067	256	1	[	[	X
ejpam-3067	256	2	10	10	NUM
ejpam-3067	256	3	]	]	PUNCT
ejpam-3067	256	4	a.	a.	NOUN
ejpam-3067	256	5	n.	n.	PROPN
ejpam-3067	256	6	tikhonov	tikhonov	PROPN
ejpam-3067	256	7	.	.	PUNCT
ejpam-3067	257	1	systems	system	NOUN
ejpam-3067	257	2	of	of	ADP
ejpam-3067	257	3	differential	differential	ADJ
ejpam-3067	257	4	equations	equation	NOUN
ejpam-3067	257	5	containing	contain	VERB
ejpam-3067	257	6	small	small	ADJ
ejpam-3067	257	7	parameters	parameter	NOUN
ejpam-3067	257	8	in	in	ADP
ejpam-3067	257	9	the	the	DET
ejpam-3067	257	10	derivatives	derivative	NOUN
ejpam-3067	257	11	.	.	PUNCT
ejpam-3067	258	1	mat	mat	PROPN
ejpam-3067	258	2	.	.	PUNCT
ejpam-3067	258	3	sb	sb	PROPN
ejpam-3067	258	4	.	.	PROPN
ejpam-3067	259	1	(	(	PUNCT
ejpam-3067	259	2	n.s	n.s	PROPN
ejpam-3067	259	3	.	.	PROPN
ejpam-3067	259	4	)	)	PUNCT
ejpam-3067	259	5	,	,	PUNCT
ejpam-3067	260	1	31(73)(3):575–586	31(73)(3):575–586	PROPN
ejpam-3067	260	2	,	,	PUNCT
ejpam-3067	260	3	1952	1952	NUM
ejpam-3067	260	4	.	.	PUNCT
ejpam-3067	261	1	references	reference	NOUN
ejpam-3067	261	2	868	868	NUM
ejpam-3067	262	1	-6	-6	NOUN
ejpam-3067	262	2	-4	-4	INTJ
ejpam-3067	263	1	-2	-2	NOUN
ejpam-3067	263	2	0	0	NUM
ejpam-3067	263	3	2	2	NUM
ejpam-3067	263	4	4	4	NUM
ejpam-3067	263	5	6	6	NUM
ejpam-3067	263	6	-2	-2	NOUN
ejpam-3067	263	7	-1	-1	NOUN
ejpam-3067	263	8	0	0	NUM
ejpam-3067	263	9	1	1	NUM
ejpam-3067	263	10	2	2	NUM
ejpam-3067	263	11	xhtl	xhtl	NOUN
ejpam-3067	263	12	yhtl	yhtl	PROPN
ejpam-3067	264	1	-2	-2	INTJ
ejpam-3067	264	2	-1	-1	SYM
ejpam-3067	264	3	0	0	NUM
ejpam-3067	264	4	1	1	NUM
ejpam-3067	264	5	2	2	NUM
ejpam-3067	264	6	6	6	NUM
ejpam-3067	264	7	7	7	NUM
ejpam-3067	264	8	8	8	NUM
ejpam-3067	264	9	9	9	NUM
ejpam-3067	264	10	yhtl	yhtl	NOUN
ejpam-3067	264	11	zhtl	zhtl	NOUN
ejpam-3067	264	12	-5	-5	ADJ
ejpam-3067	264	13	0	0	NUM
ejpam-3067	264	14	5	5	NUM
ejpam-3067	264	15	xhtl	xhtl	NOUN
ejpam-3067	264	16	-2	-2	INTJ
ejpam-3067	264	17	-1	-1	SYM
ejpam-3067	264	18	0	0	NUM
ejpam-3067	264	19	1	1	NUM
ejpam-3067	264	20	2	2	NUM
ejpam-3067	264	21	yhtl	yhtl	NOUN
ejpam-3067	264	22	6	6	NUM
ejpam-3067	264	23	7	7	NUM
ejpam-3067	264	24	8	8	NUM
ejpam-3067	264	25	9	9	NUM
ejpam-3067	264	26	zhtl	zhtl	NOUN
ejpam-3067	264	27	0	0	NUM
ejpam-3067	264	28	20	20	NUM
ejpam-3067	264	29	40	40	NUM
ejpam-3067	264	30	60	60	NUM
ejpam-3067	264	31	80	80	NUM
ejpam-3067	264	32	100	100	NUM
ejpam-3067	265	1	-6	-6	INTJ
ejpam-3067	266	1	-4	-4	INTJ
ejpam-3067	267	1	-2	-2	NOUN
ejpam-3067	267	2	0	0	NUM
ejpam-3067	268	1	2	2	NUM
ejpam-3067	268	2	4	4	NUM
ejpam-3067	268	3	6	6	NUM
ejpam-3067	268	4	t	t	NOUN
ejpam-3067	268	5	xhtl	xhtl	PROPN
ejpam-3067	268	6	0	0	NUM
ejpam-3067	268	7	20	20	NUM
ejpam-3067	268	8	40	40	NUM
ejpam-3067	268	9	60	60	NUM
ejpam-3067	268	10	80	80	NUM
ejpam-3067	268	11	100	100	NUM
ejpam-3067	268	12	-2	-2	NOUN
ejpam-3067	268	13	-1	-1	SYM
ejpam-3067	268	14	0	0	NUM
ejpam-3067	268	15	1	1	NUM
ejpam-3067	268	16	2	2	NUM
ejpam-3067	268	17	t	t	NOUN
ejpam-3067	268	18	yhtl	yhtl	NOUN
ejpam-3067	268	19	0	0	NUM
ejpam-3067	268	20	20	20	NUM
ejpam-3067	268	21	40	40	NUM
ejpam-3067	268	22	60	60	NUM
ejpam-3067	268	23	80	80	NUM
ejpam-3067	268	24	100	100	NUM
ejpam-3067	268	25	5	5	NUM
ejpam-3067	268	26	6	6	NUM
ejpam-3067	268	27	7	7	NUM
ejpam-3067	268	28	8	8	NUM
ejpam-3067	268	29	9	9	NUM
ejpam-3067	268	30	t	t	NOUN
ejpam-3067	268	31	zhtl	zhtl	NOUN
ejpam-3067	268	32	figure	figure	NOUN
ejpam-3067	268	33	1	1	NUM
ejpam-3067	268	34	:	:	PUNCT
ejpam-3067	268	35	rikitake	rikitake	NOUN
ejpam-3067	268	36	system	system	NOUN
ejpam-3067	268	37	with	with	ADP
ejpam-3067	268	38	parameters	parameter	NOUN
ejpam-3067	268	39	choice	choice	VERB
ejpam-3067	268	40	as	as	ADP
ejpam-3067	268	41	µ	µ	NOUN
ejpam-3067	268	42	=	=	SYM
ejpam-3067	268	43	1.1	1.1	NUM
ejpam-3067	268	44	and	and	CCONJ
ejpam-3067	268	45	�	�	PROPN
ejpam-3067	268	46	=	=	SYM
ejpam-3067	268	47	7	7	NUM
ejpam-3067	268	48	.	.	NOUN
ejpam-3067	268	49	7	7	NUM
ejpam-3067	268	50	figure	figure	NOUN
ejpam-3067	268	51	1	1	NUM
ejpam-3067	268	52	:	:	PUNCT
ejpam-3067	268	53	rikitake	rikitake	NOUN
ejpam-3067	268	54	system	system	NOUN
ejpam-3067	268	55	with	with	ADP
ejpam-3067	268	56	parameters	parameter	NOUN
ejpam-3067	268	57	choice	choice	VERB
ejpam-3067	268	58	as	as	ADP
ejpam-3067	268	59	µ	µ	NOUN
ejpam-3067	268	60	=	=	SYM
ejpam-3067	268	61	1.1	1.1	NUM
ejpam-3067	268	62	and	and	CCONJ
ejpam-3067	268	63	γ	γ	X
ejpam-3067	268	64	=	=	SYM
ejpam-3067	268	65	7	7	NUM
ejpam-3067	268	66	.	.	PUNCT
ejpam-3067	268	67	references	reference	NOUN
ejpam-3067	268	68	869	869	NUM
ejpam-3067	268	69	0	0	NUM
ejpam-3067	268	70	20	20	NUM
ejpam-3067	268	71	40	40	NUM
ejpam-3067	268	72	60	60	NUM
ejpam-3067	268	73	80	80	NUM
ejpam-3067	268	74	100	100	NUM
ejpam-3067	269	1	-6	-6	INTJ
ejpam-3067	269	2	-4	-4	INTJ
ejpam-3067	270	1	-2	-2	NOUN
ejpam-3067	270	2	0	0	NUM
ejpam-3067	270	3	2	2	NUM
ejpam-3067	270	4	4	4	NUM
ejpam-3067	270	5	6	6	NUM
ejpam-3067	270	6	t	t	NOUN
ejpam-3067	270	7	x	x	SYM
ejpam-3067	270	8	1htl	1htl	NUM
ejpam-3067	270	9	0	0	NUM
ejpam-3067	270	10	20	20	NUM
ejpam-3067	270	11	40	40	NUM
ejpam-3067	270	12	60	60	NUM
ejpam-3067	270	13	80	80	NUM
ejpam-3067	270	14	100	100	NUM
ejpam-3067	270	15	6	6	NUM
ejpam-3067	270	16	7	7	NUM
ejpam-3067	270	17	8	8	NUM
ejpam-3067	270	18	9	9	NUM
ejpam-3067	270	19	t	t	NOUN
ejpam-3067	270	20	y	y	PROPN
ejpam-3067	270	21	1htl	1htl	NUM
ejpam-3067	270	22	0	0	NUM
ejpam-3067	270	23	20	20	NUM
ejpam-3067	270	24	40	40	NUM
ejpam-3067	270	25	60	60	NUM
ejpam-3067	270	26	80	80	NUM
ejpam-3067	270	27	100	100	NUM
ejpam-3067	270	28	-4	-4	PUNCT
ejpam-3067	270	29	-2	-2	NOUN
ejpam-3067	270	30	0	0	NUM
ejpam-3067	270	31	2	2	NUM
ejpam-3067	270	32	4	4	NUM
ejpam-3067	270	33	t	t	NOUN
ejpam-3067	270	34	z	z	NOUN
ejpam-3067	271	1	1htl	1htl	NUM
ejpam-3067	271	2	0	0	NUM
ejpam-3067	271	3	20	20	NUM
ejpam-3067	271	4	40	40	NUM
ejpam-3067	271	5	60	60	NUM
ejpam-3067	271	6	80	80	NUM
ejpam-3067	271	7	100	100	NUM
ejpam-3067	271	8	-2	-2	NOUN
ejpam-3067	271	9	-1	-1	SYM
ejpam-3067	271	10	0	0	NUM
ejpam-3067	271	11	1	1	NUM
ejpam-3067	271	12	2	2	NUM
ejpam-3067	271	13	t	t	NOUN
ejpam-3067	271	14	x	x	SYM
ejpam-3067	272	1	2htl	2htl	NUM
ejpam-3067	272	2	0	0	NUM
ejpam-3067	272	3	20	20	NUM
ejpam-3067	272	4	40	40	NUM
ejpam-3067	272	5	60	60	NUM
ejpam-3067	272	6	80	80	NUM
ejpam-3067	272	7	100	100	NUM
ejpam-3067	272	8	-3	-3	INTJ
ejpam-3067	272	9	-2	-2	INTJ
ejpam-3067	272	10	-1	-1	SYM
ejpam-3067	272	11	0	0	NUM
ejpam-3067	272	12	1	1	NUM
ejpam-3067	272	13	2	2	NUM
ejpam-3067	272	14	3	3	NUM
ejpam-3067	272	15	t	t	NOUN
ejpam-3067	272	16	z	z	NOUN
ejpam-3067	272	17	2htl	2htl	NUM
ejpam-3067	272	18	figure	figure	NOUN
ejpam-3067	272	19	2	2	NUM
ejpam-3067	272	20	:	:	PUNCT
ejpam-3067	272	21	five	five	NUM
ejpam-3067	272	22	dimensional	dimensional	ADJ
ejpam-3067	272	23	system	system	NOUN
ejpam-3067	272	24	with	with	ADP
ejpam-3067	272	25	parameters	parameter	NOUN
ejpam-3067	272	26	choice	choice	VERB
ejpam-3067	272	27	as	as	ADP
ejpam-3067	272	28	�	�	PROPN
ejpam-3067	272	29	=	=	PROPN
ejpam-3067	272	30	7	7	NUM
ejpam-3067	272	31	,	,	PUNCT
ejpam-3067	272	32	↵	↵	NOUN
ejpam-3067	272	33	=	=	SYM
ejpam-3067	272	34	1	1	NUM
ejpam-3067	272	35	,	,	PUNCT
ejpam-3067	272	36	�	�	PROPN
ejpam-3067	272	37	=	=	SYM
ejpam-3067	272	38	0.0001	0.0001	NUM
ejpam-3067	272	39	,	,	PUNCT
ejpam-3067	272	40	l	l	NOUN
ejpam-3067	272	41	=	=	SYM
ejpam-3067	272	42	1	1	NUM
ejpam-3067	272	43	,	,	PUNCT
ejpam-3067	272	44	c	c	NOUN
ejpam-3067	272	45	=	=	SYM
ejpam-3067	272	46	�	�	PROPN
ejpam-3067	272	47	7,	7,	NUM
ejpam-3067	272	48	=	=	SYM
ejpam-3067	272	49	0.60	0.60	NUM
ejpam-3067	272	50	,	,	PUNCT
ejpam-3067	272	51	�	�	PROPN
ejpam-3067	272	52	=	=	SYM
ejpam-3067	272	53	0.65	0.65	NUM
ejpam-3067	272	54	,	,	PUNCT
ejpam-3067	272	55	b	b	NOUN
ejpam-3067	272	56	=	=	SYM
ejpam-3067	272	57	0.1	0.1	NUM
ejpam-3067	272	58	,	,	PUNCT
ejpam-3067	272	59	a	a	DET
ejpam-3067	272	60	=	=	NOUN
ejpam-3067	272	61	1	1	NUM
ejpam-3067	272	62	,	,	PUNCT
ejpam-3067	272	63	and	and	CCONJ
ejpam-3067	272	64	µ	µ	X
ejpam-3067	272	65	=	=	SYM
ejpam-3067	272	66	1.1	1.1	NUM
ejpam-3067	272	67	.	.	PUNCT
ejpam-3067	273	1	12	12	NUM
ejpam-3067	273	2	figure	figure	NOUN
ejpam-3067	273	3	2	2	NUM
ejpam-3067	273	4	:	:	PUNCT
ejpam-3067	273	5	five	five	NUM
ejpam-3067	273	6	dimensional	dimensional	ADJ
ejpam-3067	273	7	system	system	NOUN
ejpam-3067	273	8	with	with	ADP
ejpam-3067	273	9	parameters	parameter	NOUN
ejpam-3067	273	10	choice	choice	VERB
ejpam-3067	273	11	as	as	ADP
ejpam-3067	273	12	γ	γ	X
ejpam-3067	273	13	=	=	SYM
ejpam-3067	273	14	7	7	NUM
ejpam-3067	273	15	,	,	PUNCT
ejpam-3067	273	16	α	α	NOUN
ejpam-3067	273	17	=	=	SYM
ejpam-3067	273	18	1	1	NUM
ejpam-3067	273	19	,	,	PUNCT
ejpam-3067	273	20	β	β	X
ejpam-3067	273	21	=	=	SYM
ejpam-3067	273	22	0.0001	0.0001	NUM
ejpam-3067	273	23	,	,	PUNCT
ejpam-3067	273	24	l	l	NOUN
ejpam-3067	273	25	=	=	SYM
ejpam-3067	273	26	1	1	NUM
ejpam-3067	273	27	,	,	PUNCT
ejpam-3067	273	28	c	c	NOUN
ejpam-3067	273	29	=	=	SYM
ejpam-3067	273	30	−7	−7	PROPN
ejpam-3067	273	31	,	,	PUNCT
ejpam-3067	273	32	κ	κ	X
ejpam-3067	273	33	=	=	NOUN
ejpam-3067	273	34	0.60	0.60	NUM
ejpam-3067	273	35	,	,	PUNCT
ejpam-3067	273	36	λ	λ	X
ejpam-3067	273	37	=	=	NOUN
ejpam-3067	273	38	0.65	0.65	NUM
ejpam-3067	273	39	,	,	PUNCT
ejpam-3067	273	40	b	b	NOUN
ejpam-3067	273	41	=	=	SYM
ejpam-3067	273	42	0.1	0.1	NUM
ejpam-3067	273	43	,	,	PUNCT
ejpam-3067	273	44	a	a	DET
ejpam-3067	273	45	=	=	NOUN
ejpam-3067	273	46	1	1	NUM
ejpam-3067	273	47	,	,	PUNCT
ejpam-3067	273	48	and	and	CCONJ
ejpam-3067	273	49	µ	µ	X
ejpam-3067	273	50	=	=	SYM
ejpam-3067	273	51	1.1	1.1	NUM
ejpam-3067	273	52	.	.	PUNCT
ejpam-3067	274	1	references	reference	NOUN
ejpam-3067	274	2	870	870	NUM
ejpam-3067	275	1	-6	-6	NOUN
ejpam-3067	275	2	-4	-4	INTJ
ejpam-3067	276	1	-2	-2	NOUN
ejpam-3067	276	2	0	0	NUM
ejpam-3067	276	3	2	2	NUM
ejpam-3067	276	4	4	4	NUM
ejpam-3067	276	5	6	6	NUM
ejpam-3067	276	6	-2	-2	NOUN
ejpam-3067	276	7	-1	-1	NOUN
ejpam-3067	276	8	0	0	NUM
ejpam-3067	277	1	1	1	NUM
ejpam-3067	277	2	2	2	NUM
ejpam-3067	277	3	x1htl	x1htl	PROPN
ejpam-3067	277	4	x2htl	x2htl	PROPN
ejpam-3067	278	1	-6	-6	INTJ
ejpam-3067	278	2	-4	-4	INTJ
ejpam-3067	279	1	-2	-2	NOUN
ejpam-3067	279	2	0	0	NUM
ejpam-3067	279	3	2	2	NUM
ejpam-3067	279	4	4	4	NUM
ejpam-3067	279	5	6	6	NUM
ejpam-3067	279	6	5	5	NUM
ejpam-3067	279	7	6	6	NUM
ejpam-3067	279	8	7	7	NUM
ejpam-3067	279	9	8	8	NUM
ejpam-3067	279	10	9	9	NUM
ejpam-3067	279	11	x1htl	x1htl	PROPN
ejpam-3067	279	12	y1htl	y1htl	PROPN
ejpam-3067	280	1	-6	-6	INTJ
ejpam-3067	280	2	-4	-4	INTJ
ejpam-3067	281	1	-2	-2	INTJ
ejpam-3067	281	2	0	0	NUM
ejpam-3067	281	3	2	2	NUM
ejpam-3067	281	4	4	4	NUM
ejpam-3067	281	5	6	6	NUM
ejpam-3067	281	6	-4	-4	NOUN
ejpam-3067	281	7	-2	-2	NOUN
ejpam-3067	281	8	0	0	NUM
ejpam-3067	281	9	2	2	NUM
ejpam-3067	281	10	4	4	NUM
ejpam-3067	281	11	x1htl	x1htl	PROPN
ejpam-3067	281	12	z1htl	z1htl	PROPN
ejpam-3067	281	13	-2	-2	INTJ
ejpam-3067	282	1	-1	-1	SYM
ejpam-3067	282	2	0	0	NUM
ejpam-3067	283	1	1	1	NUM
ejpam-3067	283	2	2	2	NUM
ejpam-3067	283	3	6	6	NUM
ejpam-3067	283	4	7	7	NUM
ejpam-3067	283	5	8	8	NUM
ejpam-3067	283	6	9	9	NUM
ejpam-3067	283	7	x2htl	x2htl	X
ejpam-3067	283	8	y1htl	y1htl	PROPN
ejpam-3067	284	1	-4	-4	INTJ
ejpam-3067	285	1	-2	-2	NOUN
ejpam-3067	285	2	0	0	NUM
ejpam-3067	285	3	2	2	NUM
ejpam-3067	285	4	4	4	NUM
ejpam-3067	285	5	6	6	NUM
ejpam-3067	285	6	7	7	NUM
ejpam-3067	285	7	8	8	NUM
ejpam-3067	285	8	9	9	NUM
ejpam-3067	285	9	z1htl	z1htl	NOUN
ejpam-3067	285	10	y1htl	y1htl	NUM
ejpam-3067	285	11	-3	-3	PUNCT
ejpam-3067	285	12	-2	-2	INTJ
ejpam-3067	286	1	-1	-1	SYM
ejpam-3067	286	2	0	0	NUM
ejpam-3067	287	1	1	1	NUM
ejpam-3067	287	2	2	2	NUM
ejpam-3067	287	3	3	3	NUM
ejpam-3067	287	4	6	6	NUM
ejpam-3067	287	5	7	7	NUM
ejpam-3067	287	6	8	8	NUM
ejpam-3067	287	7	9	9	NUM
ejpam-3067	287	8	z2htl	z2htl	NUM
ejpam-3067	287	9	y1htl	y1htl	NUM
ejpam-3067	288	1	-2	-2	NOUN
ejpam-3067	288	2	-1	-1	SYM
ejpam-3067	288	3	0	0	NUM
ejpam-3067	288	4	1	1	NUM
ejpam-3067	288	5	2	2	NUM
ejpam-3067	288	6	-4	-4	NOUN
ejpam-3067	288	7	-2	-2	NOUN
ejpam-3067	288	8	0	0	NUM
ejpam-3067	288	9	2	2	NUM
ejpam-3067	288	10	4	4	NUM
ejpam-3067	288	11	x2htl	x2htl	X
ejpam-3067	288	12	z1htl	z1htl	PROPN
ejpam-3067	288	13	-3	-3	PUNCT
ejpam-3067	289	1	-2	-2	INTJ
ejpam-3067	289	2	-1	-1	SYM
ejpam-3067	289	3	0	0	NUM
ejpam-3067	289	4	1	1	NUM
ejpam-3067	289	5	2	2	NUM
ejpam-3067	289	6	3	3	NUM
ejpam-3067	289	7	-4	-4	NOUN
ejpam-3067	289	8	-2	-2	NOUN
ejpam-3067	289	9	0	0	NUM
ejpam-3067	290	1	2	2	NUM
ejpam-3067	290	2	4	4	NUM
ejpam-3067	290	3	z2htl	z2htl	NUM
ejpam-3067	290	4	z1htl	z1htl	NUM
ejpam-3067	291	1	-6	-6	INTJ
ejpam-3067	291	2	-4	-4	INTJ
ejpam-3067	292	1	-2	-2	NOUN
ejpam-3067	292	2	0	0	NUM
ejpam-3067	293	1	2	2	NUM
ejpam-3067	293	2	4	4	NUM
ejpam-3067	293	3	6	6	NUM
ejpam-3067	293	4	-3	-3	INTJ
ejpam-3067	293	5	-2	-2	INTJ
ejpam-3067	293	6	-1	-1	SYM
ejpam-3067	293	7	0	0	NUM
ejpam-3067	294	1	1	1	NUM
ejpam-3067	294	2	2	2	NUM
ejpam-3067	294	3	3	3	NUM
ejpam-3067	294	4	x1htl	x1htl	PROPN
ejpam-3067	294	5	z2htl	z2htl	PROPN
ejpam-3067	294	6	-3	-3	INTJ
ejpam-3067	294	7	-2	-2	INTJ
ejpam-3067	294	8	-1	-1	SYM
ejpam-3067	294	9	0	0	NUM
ejpam-3067	294	10	1	1	NUM
ejpam-3067	294	11	2	2	NUM
ejpam-3067	294	12	3	3	NUM
ejpam-3067	294	13	-2	-2	NOUN
ejpam-3067	294	14	-1	-1	NOUN
ejpam-3067	294	15	0	0	NUM
ejpam-3067	294	16	1	1	NUM
ejpam-3067	294	17	2	2	NUM
ejpam-3067	294	18	z2htl	z2htl	NUM
ejpam-3067	294	19	x2htl	x2htl	X
ejpam-3067	294	20	figure	figure	NOUN
ejpam-3067	294	21	3	3	NUM
ejpam-3067	294	22	:	:	PUNCT
ejpam-3067	294	23	continued	continue	VERB
ejpam-3067	294	24	five	five	NUM
ejpam-3067	294	25	dimensional	dimensional	ADJ
ejpam-3067	294	26	system	system	NOUN
ejpam-3067	294	27	with	with	ADP
ejpam-3067	294	28	parameters	parameter	NOUN
ejpam-3067	294	29	choice	choice	VERB
ejpam-3067	294	30	as	as	ADP
ejpam-3067	294	31	�	�	PROPN
ejpam-3067	294	32	=	=	PROPN
ejpam-3067	294	33	7	7	NUM
ejpam-3067	294	34	,	,	PUNCT
ejpam-3067	294	35	↵	↵	NOUN
ejpam-3067	294	36	=	=	SYM
ejpam-3067	294	37	1	1	NUM
ejpam-3067	294	38	,	,	PUNCT
ejpam-3067	294	39	�	�	PROPN
ejpam-3067	294	40	=	=	SYM
ejpam-3067	294	41	0.0001	0.0001	NUM
ejpam-3067	294	42	,	,	PUNCT
ejpam-3067	294	43	l	l	NOUN
ejpam-3067	294	44	=	=	SYM
ejpam-3067	294	45	1	1	NUM
ejpam-3067	294	46	,	,	PUNCT
ejpam-3067	294	47	c	c	NOUN
ejpam-3067	294	48	=	=	SYM
ejpam-3067	294	49	�	�	PROPN
ejpam-3067	294	50	7,	7,	NUM
ejpam-3067	294	51	=	=	SYM
ejpam-3067	294	52	0.60	0.60	NUM
ejpam-3067	294	53	,	,	PUNCT
ejpam-3067	294	54	�	�	PROPN
ejpam-3067	294	55	=	=	SYM
ejpam-3067	294	56	0.65	0.65	NUM
ejpam-3067	294	57	,	,	PUNCT
ejpam-3067	294	58	b	b	NOUN
ejpam-3067	294	59	=	=	SYM
ejpam-3067	294	60	0.1	0.1	NUM
ejpam-3067	294	61	,	,	PUNCT
ejpam-3067	294	62	a	a	DET
ejpam-3067	294	63	=	=	NOUN
ejpam-3067	294	64	1	1	NUM
ejpam-3067	294	65	,	,	PUNCT
ejpam-3067	294	66	and	and	CCONJ
ejpam-3067	294	67	µ	µ	X
ejpam-3067	294	68	=	=	SYM
ejpam-3067	294	69	1.1	1.1	NUM
ejpam-3067	294	70	.	.	PUNCT
ejpam-3067	295	1	it	it	PRON
ejpam-3067	295	2	shows	show	VERB
ejpam-3067	295	3	that	that	SCONJ
ejpam-3067	295	4	the	the	DET
ejpam-3067	295	5	solution	solution	NOUN
ejpam-3067	295	6	of	of	ADP
ejpam-3067	295	7	x2	x2	PROPN
ejpam-3067	295	8	and	and	CCONJ
ejpam-3067	295	9	z2	z2	PROPN
ejpam-3067	295	10	is	be	AUX
ejpam-3067	295	11	clearly	clearly	ADV
ejpam-3067	295	12	having	have	VERB
ejpam-3067	295	13	same	same	ADJ
ejpam-3067	295	14	behaviour	behaviour	NOUN
ejpam-3067	295	15	.	.	PUNCT
ejpam-3067	296	1	it	it	PRON
ejpam-3067	296	2	also	also	ADV
ejpam-3067	296	3	shows	show	VERB
ejpam-3067	296	4	that	that	DET
ejpam-3067	296	5	phase	phase	NOUN
ejpam-3067	296	6	portrait	portrait	NOUN
ejpam-3067	296	7	in	in	ADP
ejpam-3067	296	8	the	the	DET
ejpam-3067	296	9	(	(	PUNCT
ejpam-3067	296	10	x2	x2	PROPN
ejpam-3067	296	11	,	,	PUNCT
ejpam-3067	296	12	z2	z2	PROPN
ejpam-3067	296	13	)	)	PUNCT
ejpam-3067	296	14	,	,	PUNCT
ejpam-3067	296	15	(	(	PUNCT
ejpam-3067	296	16	x1	x1	X
ejpam-3067	296	17	,	,	PUNCT
ejpam-3067	296	18	x2	x2	PROPN
ejpam-3067	296	19	)	)	PUNCT
ejpam-3067	296	20	,	,	PUNCT
ejpam-3067	296	21	(	(	PUNCT
ejpam-3067	296	22	z1	z1	PROPN
ejpam-3067	296	23	,	,	PUNCT
ejpam-3067	296	24	z2	z2	PROPN
ejpam-3067	296	25	)	)	PUNCT
ejpam-3067	296	26	,	,	PUNCT
ejpam-3067	296	27	(	(	PUNCT
ejpam-3067	296	28	z1	z1	PROPN
ejpam-3067	296	29	,	,	PUNCT
ejpam-3067	296	30	z2	z2	PROPN
ejpam-3067	296	31	)	)	PUNCT
ejpam-3067	296	32	.	.	PUNCT
ejpam-3067	297	1	13	13	NUM
ejpam-3067	297	2	figure	figure	NOUN
ejpam-3067	297	3	3	3	NUM
ejpam-3067	297	4	:	:	PUNCT
ejpam-3067	297	5	continued	continue	VERB
ejpam-3067	297	6	five	five	NUM
ejpam-3067	297	7	dimensional	dimensional	ADJ
ejpam-3067	297	8	system	system	NOUN
ejpam-3067	297	9	with	with	ADP
ejpam-3067	297	10	parameters	parameter	NOUN
ejpam-3067	297	11	choice	choice	VERB
ejpam-3067	297	12	as	as	ADP
ejpam-3067	297	13	γ	γ	X
ejpam-3067	297	14	=	=	SYM
ejpam-3067	297	15	7	7	NUM
ejpam-3067	297	16	,	,	PUNCT
ejpam-3067	297	17	α	α	NOUN
ejpam-3067	297	18	=	=	SYM
ejpam-3067	297	19	1	1	NUM
ejpam-3067	297	20	,	,	PUNCT
ejpam-3067	297	21	β	β	X
ejpam-3067	297	22	=	=	SYM
ejpam-3067	297	23	0.0001	0.0001	NUM
ejpam-3067	297	24	,	,	PUNCT
ejpam-3067	297	25	l	l	NOUN
ejpam-3067	297	26	=	=	SYM
ejpam-3067	297	27	1	1	NUM
ejpam-3067	297	28	,	,	PUNCT
ejpam-3067	297	29	c	c	NOUN
ejpam-3067	297	30	=	=	SYM
ejpam-3067	297	31	−7	−7	PROPN
ejpam-3067	297	32	,	,	PUNCT
ejpam-3067	297	33	κ	κ	X
ejpam-3067	297	34	=	=	NOUN
ejpam-3067	297	35	0.60	0.60	NUM
ejpam-3067	297	36	,	,	PUNCT
ejpam-3067	297	37	λ	λ	X
ejpam-3067	297	38	=	=	NOUN
ejpam-3067	297	39	0.65	0.65	NUM
ejpam-3067	297	40	,	,	PUNCT
ejpam-3067	297	41	b	b	NOUN
ejpam-3067	297	42	=	=	SYM
ejpam-3067	297	43	0.1	0.1	NUM
ejpam-3067	297	44	,	,	PUNCT
ejpam-3067	297	45	a	a	DET
ejpam-3067	297	46	=	=	NOUN
ejpam-3067	297	47	1	1	NUM
ejpam-3067	297	48	,	,	PUNCT
ejpam-3067	297	49	and	and	CCONJ
ejpam-3067	297	50	µ	µ	X
ejpam-3067	297	51	=	=	SYM
ejpam-3067	297	52	1.1	1.1	NUM
ejpam-3067	297	53	.	.	PUNCT