id	sid	tid	token	lemma	pos
fumecheng-11485	1	1	11485	11485	NUM
fumecheng-11485	1	2	facta	facta	PROPN
fumecheng-11485	1	3	universitatis	universitatis	PROPN
fumecheng-11485	1	4	series	series	NOUN
fumecheng-11485	1	5	:	:	PUNCT
fumecheng-11485	1	6	mechanical	mechanical	ADJ
fumecheng-11485	1	7	engineering	engineering	NOUN
fumecheng-11485	1	8	vol	vol	NOUN
fumecheng-11485	1	9	.	.	PROPN
fumecheng-11485	1	10	21	21	NUM
fumecheng-11485	1	11	,	,	PUNCT
fumecheng-11485	1	12	no	no	DET
fumecheng-11485	1	13	1	1	NUM
fumecheng-11485	1	14	,	,	PUNCT
fumecheng-11485	1	15	2023	2023	NUM
fumecheng-11485	1	16	,	,	PUNCT
fumecheng-11485	1	17	pp	pp	ADJ
fumecheng-11485	1	18	.	.	PUNCT
fumecheng-11485	1	19	21	21	NUM
fumecheng-11485	1	20	29	29	NUM
fumecheng-11485	2	1	https://doi.org/10.22190/fume230108006h	https://doi.org/10.22190/fume230108006h	PRON
fumecheng-11485	2	2	©	©	PROPN
fumecheng-11485	2	3	2023	2023	NUM
fumecheng-11485	2	4	by	by	ADP
fumecheng-11485	2	5	university	university	PROPN
fumecheng-11485	2	6	of	of	ADP
fumecheng-11485	2	7	niš	niš	PROPN
fumecheng-11485	2	8	,	,	PUNCT
fumecheng-11485	2	9	serbia	serbia	PROPN
fumecheng-11485	2	10	|	|	ADV
fumecheng-11485	2	11	creative	creative	ADJ
fumecheng-11485	2	12	commons	common	NOUN
fumecheng-11485	2	13	license	license	NOUN
fumecheng-11485	2	14	:	:	PUNCT
fumecheng-11485	2	15	cc	cc	VERB
fumecheng-11485	2	16	by	by	ADP
fumecheng-11485	2	17	-	-	PUNCT
fumecheng-11485	2	18	nc	nc	VERB
fumecheng-11485	2	19	-	-	PUNCT
fumecheng-11485	2	20	nd	nd	ADV
fumecheng-11485	2	21	original	original	ADJ
fumecheng-11485	2	22	scientific	scientific	NOUN
fumecheng-11485	2	23	paper	paper	VERB
fumecheng-11485	2	24	a	a	DET
fumecheng-11485	2	25	good	good	ADJ
fumecheng-11485	2	26	initial	initial	ADJ
fumecheng-11485	2	27	guess	guess	NOUN
fumecheng-11485	2	28	for	for	ADP
fumecheng-11485	2	29	approximating	approximate	VERB
fumecheng-11485	2	30	nonlinear	nonlinear	ADJ
fumecheng-11485	2	31	oscillators	oscillator	NOUN
fumecheng-11485	2	32	by	by	ADP
fumecheng-11485	2	33	the	the	DET
fumecheng-11485	2	34	homotopy	homotopy	NOUN
fumecheng-11485	2	35	perturbation	perturbation	NOUN
fumecheng-11485	2	36	method	method	NOUN
fumecheng-11485	2	37	ji	ji	PROPN
fumecheng-11485	2	38	-	-	PROPN
fumecheng-11485	2	39	huan	huan	PROPN
fumecheng-11485	2	40	he1,2,3	he1,2,3	PROPN
fumecheng-11485	2	41	,	,	PUNCT
fumecheng-11485	2	42	chun	chun	PROPN
fumecheng-11485	2	43	-	-	PUNCT
fumecheng-11485	2	44	hui	hui	PROPN
fumecheng-11485	2	45	he4,5	he4,5	PROPN
fumecheng-11485	2	46	,	,	PUNCT
fumecheng-11485	2	47	abdulrahman	abdulrahman	PROPN
fumecheng-11485	2	48	ali	ali	PROPN
fumecheng-11485	2	49	alsolami5	alsolami5	PROPN
fumecheng-11485	3	1	1national	1national	ADJ
fumecheng-11485	3	2	engineering	engineering	NOUN
fumecheng-11485	3	3	laboratory	laboratory	NOUN
fumecheng-11485	3	4	for	for	ADP
fumecheng-11485	3	5	modern	modern	ADJ
fumecheng-11485	3	6	silk	silk	NOUN
fumecheng-11485	3	7	,	,	PUNCT
fumecheng-11485	3	8	college	college	NOUN
fumecheng-11485	3	9	of	of	ADP
fumecheng-11485	3	10	textile	textile	NOUN
fumecheng-11485	3	11	and	and	CCONJ
fumecheng-11485	3	12	clothing	clothing	NOUN
fumecheng-11485	3	13	engineering	engineering	NOUN
fumecheng-11485	3	14	,	,	PUNCT
fumecheng-11485	3	15	soochow	soochow	PROPN
fumecheng-11485	3	16	university	university	PROPN
fumecheng-11485	3	17	,	,	PUNCT
fumecheng-11485	3	18	suzhou	suzhou	PROPN
fumecheng-11485	3	19	,	,	PUNCT
fumecheng-11485	3	20	china	china	PROPN
fumecheng-11485	3	21	2school	2school	NUM
fumecheng-11485	3	22	of	of	ADP
fumecheng-11485	3	23	mathematics	mathematic	NOUN
fumecheng-11485	3	24	and	and	CCONJ
fumecheng-11485	3	25	information	information	NOUN
fumecheng-11485	3	26	science	science	NOUN
fumecheng-11485	3	27	,	,	PUNCT
fumecheng-11485	3	28	henan	henan	PROPN
fumecheng-11485	3	29	polytechnic	polytechnic	PROPN
fumecheng-11485	3	30	university	university	PROPN
fumecheng-11485	3	31	,	,	PUNCT
fumecheng-11485	3	32	jiaozuo	jiaozuo	PROPN
fumecheng-11485	3	33	,	,	PUNCT
fumecheng-11485	3	34	china	china	PROPN
fumecheng-11485	3	35	3school	3school	NUM
fumecheng-11485	3	36	of	of	ADP
fumecheng-11485	3	37	science	science	PROPN
fumecheng-11485	3	38	,	,	PUNCT
fumecheng-11485	3	39	xi’an	xi’an	PROPN
fumecheng-11485	3	40	university	university	PROPN
fumecheng-11485	3	41	of	of	ADP
fumecheng-11485	3	42	architecture	architecture	NOUN
fumecheng-11485	3	43	and	and	CCONJ
fumecheng-11485	3	44	technology	technology	NOUN
fumecheng-11485	3	45	,	,	PUNCT
fumecheng-11485	3	46	xi’an	xi’an	PROPN
fumecheng-11485	3	47	,	,	PUNCT
fumecheng-11485	3	48	china	china	PROPN
fumecheng-11485	3	49	4school	4school	NUM
fumecheng-11485	3	50	of	of	ADP
fumecheng-11485	3	51	mathematics	mathematics	PROPN
fumecheng-11485	3	52	,	,	PUNCT
fumecheng-11485	3	53	china	china	PROPN
fumecheng-11485	3	54	university	university	PROPN
fumecheng-11485	3	55	of	of	ADP
fumecheng-11485	3	56	mining	mining	NOUN
fumecheng-11485	3	57	and	and	CCONJ
fumecheng-11485	3	58	technology	technology	NOUN
fumecheng-11485	3	59	,	,	PUNCT
fumecheng-11485	3	60	xuzhou	xuzhou	PROPN
fumecheng-11485	3	61	,	,	PUNCT
fumecheng-11485	3	62	jiangsu	jiangsu	PROPN
fumecheng-11485	3	63	,	,	PUNCT
fumecheng-11485	3	64	china	china	PROPN
fumecheng-11485	3	65	5department	5department	NUM
fumecheng-11485	3	66	of	of	ADP
fumecheng-11485	3	67	mathematics	mathematic	NOUN
fumecheng-11485	3	68	,	,	PUNCT
fumecheng-11485	3	69	faculty	faculty	NOUN
fumecheng-11485	3	70	of	of	ADP
fumecheng-11485	3	71	science	science	NOUN
fumecheng-11485	3	72	,	,	PUNCT
fumecheng-11485	3	73	king	king	PROPN
fumecheng-11485	3	74	abdulaziz	abdulaziz	PROPN
fumecheng-11485	3	75	university	university	PROPN
fumecheng-11485	3	76	,	,	PUNCT
fumecheng-11485	3	77	jeddah	jeddah	PROPN
fumecheng-11485	3	78	,	,	PUNCT
fumecheng-11485	3	79	saudi	saudi	PROPN
fumecheng-11485	3	80	arabia	arabia	PROPN
fumecheng-11485	3	81	abstract	abstract	NOUN
fumecheng-11485	3	82	.	.	PUNCT
fumecheng-11485	4	1	a	a	DET
fumecheng-11485	4	2	good	good	ADJ
fumecheng-11485	4	3	initial	initial	ADJ
fumecheng-11485	4	4	guess	guess	NOUN
fumecheng-11485	4	5	and	and	CCONJ
fumecheng-11485	4	6	an	an	DET
fumecheng-11485	4	7	appropriate	appropriate	ADJ
fumecheng-11485	4	8	homotopy	homotopy	NOUN
fumecheng-11485	4	9	equation	equation	NOUN
fumecheng-11485	4	10	are	be	AUX
fumecheng-11485	4	11	two	two	NUM
fumecheng-11485	4	12	main	main	ADJ
fumecheng-11485	4	13	factors	factor	NOUN
fumecheng-11485	4	14	in	in	ADP
fumecheng-11485	4	15	applications	application	NOUN
fumecheng-11485	4	16	of	of	ADP
fumecheng-11485	4	17	the	the	DET
fumecheng-11485	4	18	homotopy	homotopy	NOUN
fumecheng-11485	4	19	perturbation	perturbation	NOUN
fumecheng-11485	4	20	method	method	NOUN
fumecheng-11485	4	21	.	.	PUNCT
fumecheng-11485	5	1	for	for	ADP
fumecheng-11485	5	2	a	a	DET
fumecheng-11485	5	3	nonlinear	nonlinear	ADJ
fumecheng-11485	5	4	oscillator	oscillator	NOUN
fumecheng-11485	5	5	,	,	PUNCT
fumecheng-11485	5	6	a	a	DET
fumecheng-11485	5	7	cosine	cosine	NOUN
fumecheng-11485	5	8	function	function	NOUN
fumecheng-11485	5	9	is	be	AUX
fumecheng-11485	5	10	used	use	VERB
fumecheng-11485	5	11	in	in	ADP
fumecheng-11485	5	12	an	an	DET
fumecheng-11485	5	13	initial	initial	ADJ
fumecheng-11485	5	14	guess	guess	NOUN
fumecheng-11485	5	15	.	.	PUNCT
fumecheng-11485	6	1	this	this	DET
fumecheng-11485	6	2	article	article	NOUN
fumecheng-11485	6	3	recommends	recommend	VERB
fumecheng-11485	6	4	a	a	DET
fumecheng-11485	6	5	general	general	ADJ
fumecheng-11485	6	6	approach	approach	NOUN
fumecheng-11485	6	7	to	to	ADP
fumecheng-11485	6	8	construction	construction	NOUN
fumecheng-11485	6	9	of	of	ADP
fumecheng-11485	6	10	the	the	DET
fumecheng-11485	6	11	initial	initial	ADJ
fumecheng-11485	6	12	guess	guess	NOUN
fumecheng-11485	6	13	and	and	CCONJ
fumecheng-11485	6	14	the	the	DET
fumecheng-11485	6	15	homotopy	homotopy	NOUN
fumecheng-11485	6	16	equation	equation	NOUN
fumecheng-11485	6	17	.	.	PUNCT
fumecheng-11485	7	1	duffing	duffe	VERB
fumecheng-11485	7	2	oscillator	oscillator	NOUN
fumecheng-11485	7	3	is	be	AUX
fumecheng-11485	7	4	adopted	adopt	VERB
fumecheng-11485	7	5	as	as	ADP
fumecheng-11485	7	6	an	an	DET
fumecheng-11485	7	7	example	example	NOUN
fumecheng-11485	7	8	to	to	PART
fumecheng-11485	7	9	elucidate	elucidate	VERB
fumecheng-11485	7	10	the	the	DET
fumecheng-11485	7	11	effectiveness	effectiveness	NOUN
fumecheng-11485	7	12	of	of	ADP
fumecheng-11485	7	13	the	the	DET
fumecheng-11485	7	14	method	method	NOUN
fumecheng-11485	7	15	.	.	PUNCT
fumecheng-11485	8	1	key	key	ADJ
fumecheng-11485	8	2	words	word	NOUN
fumecheng-11485	8	3	:	:	PUNCT
fumecheng-11485	8	4	homotopy	homotopy	VERB
fumecheng-11485	8	5	perturbation	perturbation	NOUN
fumecheng-11485	8	6	method	method	NOUN
fumecheng-11485	8	7	,	,	PUNCT
fumecheng-11485	8	8	nonlinear	nonlinear	ADJ
fumecheng-11485	8	9	oscillator	oscillator	NOUN
fumecheng-11485	8	10	,	,	PUNCT
fumecheng-11485	8	11	periodic	periodic	ADJ
fumecheng-11485	8	12	solution	solution	NOUN
fumecheng-11485	8	13	1	1	NUM
fumecheng-11485	8	14	.	.	PUNCT
fumecheng-11485	9	1	introduction	introduction	NOUN
fumecheng-11485	9	2	the	the	DET
fumecheng-11485	9	3	nonlinear	nonlinear	ADJ
fumecheng-11485	9	4	vibration	vibration	NOUN
fumecheng-11485	9	5	theory	theory	NOUN
fumecheng-11485	9	6	has	have	AUX
fumecheng-11485	9	7	triggered	trigger	VERB
fumecheng-11485	9	8	skyrocketing	skyrocket	VERB
fumecheng-11485	9	9	interest	interest	NOUN
fumecheng-11485	9	10	in	in	ADP
fumecheng-11485	9	11	both	both	CCONJ
fumecheng-11485	9	12	nonlinear	nonlinear	ADJ
fumecheng-11485	9	13	science	science	NOUN
fumecheng-11485	9	14	and	and	CCONJ
fumecheng-11485	9	15	engineering	engineering	NOUN
fumecheng-11485	9	16	,	,	PUNCT
fumecheng-11485	9	17	from	from	ADP
fumecheng-11485	9	18	vibration	vibration	NOUN
fumecheng-11485	9	19	isolators	isolator	NOUN
fumecheng-11485	9	20	[	[	X
fumecheng-11485	9	21	1	1	X
fumecheng-11485	9	22	]	]	PUNCT
fumecheng-11485	9	23	to	to	ADP
fumecheng-11485	9	24	nano	nano	NOUN
fumecheng-11485	9	25	materials	material	NOUN
fumecheng-11485	9	26	[	[	X
fumecheng-11485	9	27	2	2	NUM
fumecheng-11485	9	28	]	]	PUNCT
fumecheng-11485	9	29	and	and	CCONJ
fumecheng-11485	9	30	micro	micro	ADJ
fumecheng-11485	9	31	-	-	ADJ
fumecheng-11485	9	32	electromechanical	electromechanical	ADJ
fumecheng-11485	9	33	systems	system	NOUN
fumecheng-11485	9	34	[	[	X
fumecheng-11485	9	35	3,4	3,4	NUM
fumecheng-11485	9	36	]	]	PUNCT
fumecheng-11485	9	37	,	,	PUNCT
fumecheng-11485	9	38	and	and	CCONJ
fumecheng-11485	9	39	the	the	DET
fumecheng-11485	9	40	homotopy	homotopy	NOUN
fumecheng-11485	9	41	perturbation	perturbation	NOUN
fumecheng-11485	9	42	method	method	NOUN
fumecheng-11485	9	43	[	[	X
fumecheng-11485	9	44	5	5	NUM
fumecheng-11485	9	45	]	]	PUNCT
fumecheng-11485	9	46	has	have	AUX
fumecheng-11485	9	47	laid	lay	VERB
fumecheng-11485	9	48	the	the	DET
fumecheng-11485	9	49	foundation	foundation	NOUN
fumecheng-11485	9	50	for	for	ADP
fumecheng-11485	9	51	fast	fast	ADJ
fumecheng-11485	9	52	and	and	CCONJ
fumecheng-11485	9	53	accurate	accurate	ADJ
fumecheng-11485	9	54	insight	insight	NOUN
fumecheng-11485	9	55	into	into	ADP
fumecheng-11485	9	56	the	the	DET
fumecheng-11485	9	57	frequency	frequency	NOUN
fumecheng-11485	9	58	-	-	PUNCT
fumecheng-11485	9	59	amplitude	amplitude	NOUN
fumecheng-11485	9	60	relation	relation	NOUN
fumecheng-11485	9	61	of	of	ADP
fumecheng-11485	9	62	a	a	DET
fumecheng-11485	9	63	nonlinear	nonlinear	ADJ
fumecheng-11485	9	64	oscillator	oscillator	NOUN
fumecheng-11485	9	65	,	,	PUNCT
fumecheng-11485	9	66	which	which	PRON
fumecheng-11485	9	67	occurs	occur	VERB
fumecheng-11485	9	68	anywhere	anywhere	ADV
fumecheng-11485	9	69	in	in	ADP
fumecheng-11485	9	70	engineering	engineering	NOUN
fumecheng-11485	9	71	and	and	CCONJ
fumecheng-11485	9	72	science	science	NOUN
fumecheng-11485	10	1	[	[	X
fumecheng-11485	10	2	6	6	NUM
fumecheng-11485	10	3	]	]	PUNCT
fumecheng-11485	10	4	.	.	PUNCT
fumecheng-11485	11	1	the	the	DET
fumecheng-11485	11	2	traditional	traditional	ADJ
fumecheng-11485	11	3	perturbation	perturbation	NOUN
fumecheng-11485	11	4	method	method	NOUN
fumecheng-11485	11	5	[	[	X
fumecheng-11485	11	6	6	6	NUM
fumecheng-11485	11	7	]	]	PUNCT
fumecheng-11485	11	8	is	be	AUX
fumecheng-11485	11	9	widely	widely	ADV
fumecheng-11485	11	10	used	use	VERB
fumecheng-11485	11	11	for	for	ADP
fumecheng-11485	11	12	this	this	DET
fumecheng-11485	11	13	purpose	purpose	NOUN
fumecheng-11485	11	14	,	,	PUNCT
fumecheng-11485	11	15	however	however	ADV
fumecheng-11485	11	16	,	,	PUNCT
fumecheng-11485	11	17	it	it	PRON
fumecheng-11485	11	18	is	be	AUX
fumecheng-11485	11	19	only	only	ADV
fumecheng-11485	11	20	valid	valid	ADJ
fumecheng-11485	11	21	for	for	ADP
fumecheng-11485	11	22	the	the	DET
fumecheng-11485	11	23	received	received	NOUN
fumecheng-11485	11	24	:	:	PUNCT
fumecheng-11485	11	25	january	january	PROPN
fumecheng-11485	11	26	08	08	NUM
fumecheng-11485	11	27	,	,	PUNCT
fumecheng-11485	11	28	2023	2023	NUM
fumecheng-11485	11	29	/	/	PUNCT
fumecheng-11485	11	30	accepted	accept	VERB
fumecheng-11485	11	31	february	february	PROPN
fumecheng-11485	11	32	05	05	NUM
fumecheng-11485	11	33	,	,	PUNCT
fumecheng-11485	11	34	2023	2023	NUM
fumecheng-11485	11	35	corresponding	correspond	VERB
fumecheng-11485	11	36	author	author	NOUN
fumecheng-11485	11	37	:	:	PUNCT
fumecheng-11485	11	38	ji	ji	PROPN
fumecheng-11485	11	39	-	-	PROPN
fumecheng-11485	11	40	huan	huan	PROPN
fumecheng-11485	11	41	he	he	PROPN
fumecheng-11485	11	42	and	and	CCONJ
fumecheng-11485	11	43	chun	chun	PROPN
fumecheng-11485	11	44	-	-	PUNCT
fumecheng-11485	11	45	hui	hui	PROPN
fumecheng-11485	11	46	he	he	PRON
fumecheng-11485	11	47	affiliation	affiliation	NOUN
fumecheng-11485	11	48	,	,	PUNCT
fumecheng-11485	11	49	national	national	ADJ
fumecheng-11485	11	50	engineering	engineering	NOUN
fumecheng-11485	11	51	laboratory	laboratory	NOUN
fumecheng-11485	11	52	for	for	ADP
fumecheng-11485	11	53	modern	modern	ADJ
fumecheng-11485	11	54	silk	silk	NOUN
fumecheng-11485	11	55	,	,	PUNCT
fumecheng-11485	11	56	college	college	NOUN
fumecheng-11485	11	57	of	of	ADP
fumecheng-11485	11	58	textile	textile	NOUN
fumecheng-11485	11	59	and	and	CCONJ
fumecheng-11485	11	60	clothing	clothing	NOUN
fumecheng-11485	11	61	engineering	engineering	NOUN
fumecheng-11485	11	62	,	,	PUNCT
fumecheng-11485	11	63	soochow	soochow	PROPN
fumecheng-11485	11	64	university	university	PROPN
fumecheng-11485	11	65	,	,	PUNCT
fumecheng-11485	11	66	suzhou	suzhou	PROPN
fumecheng-11485	11	67	,	,	PUNCT
fumecheng-11485	12	1	p.	p.	PROPN
fumecheng-11485	12	2	r.	r.	PROPN
fumecheng-11485	12	3	china	china	PROPN
fumecheng-11485	13	1	e	e	X
fumecheng-11485	13	2	-	-	PUNCT
fumecheng-11485	13	3	mails	mail	NOUN
fumecheng-11485	13	4	:	:	PUNCT
fumecheng-11485	13	5	hejihuan@suda.edu.cn	hejihuan@suda.edu.cn	NOUN
fumecheng-11485	13	6	(	(	PUNCT
fumecheng-11485	13	7	j.h	j.h	PROPN
fumecheng-11485	13	8	.	.	PUNCT
fumecheng-11485	13	9	he	he	PRON
fumecheng-11485	13	10	)	)	PUNCT
fumecheng-11485	13	11	,	,	PUNCT
fumecheng-11485	13	12	mathew_he@yahoo.com	mathew_he@yahoo.com	X
fumecheng-11485	13	13	(	(	PUNCT
fumecheng-11485	13	14	c.h	c.h	PROPN
fumecheng-11485	13	15	.	.	PUNCT
fumecheng-11485	14	1	he	he	PRON
fumecheng-11485	14	2	)	)	PUNCT
fumecheng-11485	14	3	mailto:hejihuan@suda.edu.cn	mailto:hejihuan@suda.edu.cn	VERB
fumecheng-11485	14	4	mailto:mathew_he@yahoo.com	mailto:mathew_he@yahoo.com	NOUN
fumecheng-11485	14	5	22	22	NUM
fumecheng-11485	14	6	ji.h	ji.h	NOUN
fumecheng-11485	14	7	.	.	PUNCT
fumecheng-11485	15	1	he	he	PRON
fumecheng-11485	15	2	,	,	PUNCT
fumecheng-11485	15	3	c.h	c.h	PROPN
fumecheng-11485	15	4	.	.	PUNCT
fumecheng-11485	16	1	he	he	PRON
fumecheng-11485	16	2	,	,	PUNCT
fumecheng-11485	16	3	a.a	a.a	PROPN
fumecheng-11485	16	4	.	.	PROPN
fumecheng-11485	16	5	alsolami	alsolami	PROPN
fumecheng-11485	16	6	weak	weak	ADJ
fumecheng-11485	16	7	nonlinearity	nonlinearity	NOUN
fumecheng-11485	16	8	.	.	PUNCT
fumecheng-11485	17	1	other	other	ADJ
fumecheng-11485	17	2	effective	effective	ADJ
fumecheng-11485	17	3	analytical	analytical	ADJ
fumecheng-11485	17	4	methods	method	NOUN
fumecheng-11485	17	5	include	include	VERB
fumecheng-11485	17	6	the	the	DET
fumecheng-11485	17	7	variational	variational	ADJ
fumecheng-11485	17	8	iteration	iteration	NOUN
fumecheng-11485	17	9	method	method	NOUN
fumecheng-11485	18	1	[	[	X
fumecheng-11485	18	2	7,8,9	7,8,9	NOUN
fumecheng-11485	18	3	]	]	PUNCT
fumecheng-11485	18	4	and	and	CCONJ
fumecheng-11485	18	5	the	the	DET
fumecheng-11485	18	6	variational	variational	ADJ
fumecheng-11485	18	7	approach	approach	NOUN
fumecheng-11485	18	8	[	[	X
fumecheng-11485	18	9	10,11,12	10,11,12	NUM
fumecheng-11485	18	10	]	]	PUNCT
fumecheng-11485	18	11	.	.	PUNCT
fumecheng-11485	19	1	the	the	DET
fumecheng-11485	19	2	homotopy	homotopy	NOUN
fumecheng-11485	19	3	perturbation	perturbation	NOUN
fumecheng-11485	19	4	method	method	NOUN
fumecheng-11485	19	5	[	[	X
fumecheng-11485	19	6	5	5	NUM
fumecheng-11485	19	7	]	]	PUNCT
fumecheng-11485	19	8	is	be	AUX
fumecheng-11485	19	9	a	a	DET
fumecheng-11485	19	10	universal	universal	ADJ
fumecheng-11485	19	11	method	method	NOUN
fumecheng-11485	19	12	for	for	ADP
fumecheng-11485	19	13	nonlinear	nonlinear	ADJ
fumecheng-11485	19	14	vibration	vibration	NOUN
fumecheng-11485	19	15	systems	system	NOUN
fumecheng-11485	19	16	,	,	PUNCT
fumecheng-11485	19	17	it	it	PRON
fumecheng-11485	19	18	has	have	AUX
fumecheng-11485	19	19	been	be	AUX
fumecheng-11485	19	20	considered	consider	VERB
fumecheng-11485	19	21	as	as	ADP
fumecheng-11485	19	22	a	a	DET
fumecheng-11485	19	23	strongly	strongly	ADV
fumecheng-11485	19	24	promising	promising	ADJ
fumecheng-11485	19	25	and	and	CCONJ
fumecheng-11485	19	26	unprecedented	unprecedented	ADJ
fumecheng-11485	19	27	method	method	NOUN
fumecheng-11485	19	28	for	for	ADP
fumecheng-11485	19	29	nonlinear	nonlinear	ADJ
fumecheng-11485	19	30	problems	problem	NOUN
fumecheng-11485	19	31	[	[	X
fumecheng-11485	19	32	13,14	13,14	X
fumecheng-11485	19	33	]	]	PUNCT
fumecheng-11485	19	34	,	,	PUNCT
fumecheng-11485	19	35	and	and	CCONJ
fumecheng-11485	19	36	many	many	ADJ
fumecheng-11485	19	37	reliable	reliable	ADJ
fumecheng-11485	19	38	modifications	modification	NOUN
fumecheng-11485	19	39	were	be	AUX
fumecheng-11485	19	40	recommended	recommend	VERB
fumecheng-11485	19	41	in	in	ADP
fumecheng-11485	19	42	literature	literature	NOUN
fumecheng-11485	19	43	,	,	PUNCT
fumecheng-11485	19	44	among	among	ADP
fumecheng-11485	19	45	which	which	PRON
fumecheng-11485	19	46	li	li	PROPN
fumecheng-11485	19	47	-	-	PROPN
fumecheng-11485	19	48	he	he	PRON
fumecheng-11485	19	49	’s	’	VERB
fumecheng-11485	19	50	modification	modification	NOUN
fumecheng-11485	20	1	[	[	X
fumecheng-11485	20	2	15,16	15,16	NUM
fumecheng-11485	20	3	]	]	PUNCT
fumecheng-11485	20	4	is	be	AUX
fumecheng-11485	20	5	much	much	ADV
fumecheng-11485	20	6	attractive	attractive	ADJ
fumecheng-11485	20	7	.	.	PUNCT
fumecheng-11485	21	1	the	the	DET
fumecheng-11485	21	2	homotopy	homotopy	NOUN
fumecheng-11485	21	3	perturbation	perturbation	NOUN
fumecheng-11485	21	4	method	method	NOUN
fumecheng-11485	21	5	is	be	AUX
fumecheng-11485	21	6	to	to	PART
fumecheng-11485	21	7	decompose	decompose	VERB
fumecheng-11485	21	8	a	a	DET
fumecheng-11485	21	9	nonlinear	nonlinear	ADJ
fumecheng-11485	21	10	equation	equation	NOUN
fumecheng-11485	21	11	to	to	PART
fumecheng-11485	21	12	infinite	infinite	VERB
fumecheng-11485	21	13	linear	linear	ADJ
fumecheng-11485	21	14	equations	equation	NOUN
fumecheng-11485	21	15	where	where	SCONJ
fumecheng-11485	21	16	laplace	laplace	NOUN
fumecheng-11485	21	17	transform	transform	NOUN
fumecheng-11485	21	18	can	can	AUX
fumecheng-11485	21	19	be	be	AUX
fumecheng-11485	21	20	applied	apply	VERB
fumecheng-11485	21	21	,	,	PUNCT
fumecheng-11485	21	22	this	this	DET
fumecheng-11485	21	23	modification	modification	NOUN
fumecheng-11485	21	24	is	be	AUX
fumecheng-11485	21	25	called	call	VERB
fumecheng-11485	21	26	as	as	SCONJ
fumecheng-11485	21	27	he	he	PRON
fumecheng-11485	21	28	-	-	PUNCT
fumecheng-11485	21	29	laplace	laplace	NOUN
fumecheng-11485	21	30	method	method	NOUN
fumecheng-11485	21	31	[	[	X
fumecheng-11485	21	32	17	17	NUM
fumecheng-11485	21	33	]	]	PUNCT
fumecheng-11485	21	34	.	.	PUNCT
fumecheng-11485	22	1	the	the	DET
fumecheng-11485	22	2	parameterized	parameterized	ADJ
fumecheng-11485	22	3	homotopy	homotopy	NOUN
fumecheng-11485	22	4	perturbation	perturbation	NOUN
fumecheng-11485	22	5	method	method	NOUN
fumecheng-11485	22	6	[	[	X
fumecheng-11485	22	7	18	18	NUM
fumecheng-11485	22	8	]	]	PUNCT
fumecheng-11485	22	9	,	,	PUNCT
fumecheng-11485	22	10	and	and	CCONJ
fumecheng-11485	22	11	the	the	DET
fumecheng-11485	22	12	couple	couple	NOUN
fumecheng-11485	22	13	of	of	ADP
fumecheng-11485	22	14	the	the	DET
fumecheng-11485	22	15	homotopy	homotopy	NOUN
fumecheng-11485	22	16	perturbation	perturbation	NOUN
fumecheng-11485	22	17	method	method	NOUN
fumecheng-11485	22	18	with	with	ADP
fumecheng-11485	22	19	kashuri	kashuri	PROPN
fumecheng-11485	22	20	fundo	fundo	PROPN
fumecheng-11485	22	21	transform	transform	VERB
fumecheng-11485	22	22	[	[	X
fumecheng-11485	22	23	19	19	NUM
fumecheng-11485	22	24	]	]	PUNCT
fumecheng-11485	22	25	or	or	CCONJ
fumecheng-11485	22	26	the	the	DET
fumecheng-11485	22	27	lindstedt	lindstedt	PROPN
fumecheng-11485	22	28	-	-	PUNCT
fumecheng-11485	22	29	poincare	poincare	PROPN
fumecheng-11485	22	30	technology	technology	NOUN
fumecheng-11485	23	1	[	[	X
fumecheng-11485	23	2	20	20	NUM
fumecheng-11485	23	3	]	]	PUNCT
fumecheng-11485	23	4	has	have	AUX
fumecheng-11485	23	5	also	also	ADV
fumecheng-11485	23	6	been	be	AUX
fumecheng-11485	23	7	caught	catch	VERB
fumecheng-11485	23	8	much	much	ADJ
fumecheng-11485	23	9	attention	attention	NOUN
fumecheng-11485	23	10	.	.	PUNCT
fumecheng-11485	24	1	the	the	DET
fumecheng-11485	24	2	homotopy	homotopy	NOUN
fumecheng-11485	24	3	perturbation	perturbation	NOUN
fumecheng-11485	24	4	method	method	NOUN
fumecheng-11485	24	5	is	be	AUX
fumecheng-11485	24	6	extremely	extremely	ADV
fumecheng-11485	24	7	effective	effective	ADJ
fumecheng-11485	24	8	for	for	ADP
fumecheng-11485	24	9	fractional	fractional	ADJ
fumecheng-11485	24	10	calculus	calculus	NOUN
fumecheng-11485	24	11	[	[	X
fumecheng-11485	24	12	21	21	NUM
fumecheng-11485	24	13	-	-	SYM
fumecheng-11485	24	14	24	24	NUM
fumecheng-11485	24	15	]	]	PUNCT
fumecheng-11485	24	16	,	,	PUNCT
fumecheng-11485	24	17	machine	machine	NOUN
fumecheng-11485	24	18	learning	learn	VERB
fumecheng-11485	24	19	[	[	PUNCT
fumecheng-11485	24	20	25	25	NUM
fumecheng-11485	24	21	-	-	SYM
fumecheng-11485	24	22	28	28	NUM
fumecheng-11485	24	23	]	]	PUNCT
fumecheng-11485	24	24	and	and	CCONJ
fumecheng-11485	24	25	imaging	imaging	NOUN
fumecheng-11485	24	26	process	process	NOUN
fumecheng-11485	24	27	[	[	X
fumecheng-11485	24	28	29	29	NUM
fumecheng-11485	24	29	-	-	SYM
fumecheng-11485	24	30	33	33	NUM
fumecheng-11485	24	31	]	]	PUNCT
fumecheng-11485	24	32	.	.	PUNCT
fumecheng-11485	25	1	though	though	SCONJ
fumecheng-11485	25	2	the	the	DET
fumecheng-11485	25	3	method	method	NOUN
fumecheng-11485	25	4	is	be	AUX
fumecheng-11485	25	5	almost	almost	ADV
fumecheng-11485	25	6	matured	mature	VERB
fumecheng-11485	25	7	,	,	PUNCT
fumecheng-11485	25	8	there	there	PRON
fumecheng-11485	25	9	is	be	VERB
fumecheng-11485	25	10	still	still	ADV
fumecheng-11485	25	11	much	much	ADJ
fumecheng-11485	25	12	space	space	NOUN
fumecheng-11485	25	13	to	to	ADP
fumecheng-11485	25	14	further	further	ADJ
fumecheng-11485	25	15	improvement	improvement	NOUN
fumecheng-11485	25	16	.	.	PUNCT
fumecheng-11485	26	1	2	2	X
fumecheng-11485	26	2	.	.	X
fumecheng-11485	26	3	homotopy	homotopy	NOUN
fumecheng-11485	26	4	perturbation	perturbation	NOUN
fumecheng-11485	26	5	method	method	VERB
fumecheng-11485	26	6	the	the	DET
fumecheng-11485	26	7	homotopy	homotopy	NOUN
fumecheng-11485	26	8	perturbation	perturbation	NOUN
fumecheng-11485	26	9	method	method	NOUN
fumecheng-11485	27	1	[	[	X
fumecheng-11485	27	2	5	5	NUM
fumecheng-11485	27	3	]	]	PUNCT
fumecheng-11485	27	4	is	be	AUX
fumecheng-11485	27	5	a	a	DET
fumecheng-11485	27	6	powerful	powerful	ADJ
fumecheng-11485	27	7	tool	tool	NOUN
fumecheng-11485	27	8	to	to	PART
fumecheng-11485	27	9	nonlinear	nonlinear	ADJ
fumecheng-11485	27	10	vibration	vibration	NOUN
fumecheng-11485	27	11	systems	system	NOUN
fumecheng-11485	27	12	.	.	PUNCT
fumecheng-11485	28	1	we	we	PRON
fumecheng-11485	28	2	consider	consider	VERB
fumecheng-11485	28	3	a	a	DET
fumecheng-11485	28	4	nonlinear	nonlinear	ADJ
fumecheng-11485	28	5	vibration	vibration	NOUN
fumecheng-11485	28	6	equation	equation	NOUN
fumecheng-11485	28	7	in	in	ADP
fumecheng-11485	28	8	the	the	DET
fumecheng-11485	28	9	form	form	NOUN
fumecheng-11485	28	10	(	(	PUNCT
fumecheng-11485	28	11	)	)	PUNCT
fumecheng-11485	28	12	0u	0u	ADJ
fumecheng-11485	28	13	a	a	DET
fumecheng-11485	28	14	u	u	NOUN
fumecheng-11485	29	1	+	+	CCONJ
fumecheng-11485	29	2	=	=	SYM
fumecheng-11485	29	3	(	(	PUNCT
fumecheng-11485	29	4	1	1	NUM
fumecheng-11485	29	5	)	)	PUNCT
fumecheng-11485	29	6	where	where	SCONJ
fumecheng-11485	29	7	a	a	PRON
fumecheng-11485	29	8	is	be	AUX
fumecheng-11485	29	9	a	a	DET
fumecheng-11485	29	10	nonlinear	nonlinear	ADJ
fumecheng-11485	29	11	function	function	NOUN
fumecheng-11485	29	12	of	of	ADP
fumecheng-11485	29	13	u	u	NOUN
fumecheng-11485	29	14	,	,	PUNCT
fumecheng-11485	29	15	and	and	CCONJ
fumecheng-11485	29	16	a	a	DET
fumecheng-11485	29	17	/	/	SYM
fumecheng-11485	29	18	u>0	u>0	NOUN
fumecheng-11485	29	19	.	.	PUNCT
fumecheng-11485	30	1	in	in	ADP
fumecheng-11485	30	2	order	order	NOUN
fumecheng-11485	30	3	to	to	PART
fumecheng-11485	30	4	elucidate	elucidate	VERB
fumecheng-11485	30	5	the	the	DET
fumecheng-11485	30	6	solving	solving	NOUN
fumecheng-11485	30	7	process	process	NOUN
fumecheng-11485	30	8	of	of	ADP
fumecheng-11485	30	9	the	the	DET
fumecheng-11485	30	10	homotopy	homotopy	NOUN
fumecheng-11485	30	11	perturbation	perturbation	NOUN
fumecheng-11485	30	12	method	method	NOUN
fumecheng-11485	30	13	,	,	PUNCT
fumecheng-11485	30	14	we	we	PRON
fumecheng-11485	30	15	can	can	AUX
fumecheng-11485	30	16	construct	construct	VERB
fumecheng-11485	30	17	the	the	DET
fumecheng-11485	30	18	following	follow	VERB
fumecheng-11485	30	19	universal	universal	ADJ
fumecheng-11485	30	20	homotopy	homotopy	NOUN
fumecheng-11485	30	21	equation	equation	NOUN
fumecheng-11485	30	22			PROPN
fumecheng-11485	30	23	2	2	NOUN
fumecheng-11485	30	24	2	2	NUM
fumecheng-11485	30	25	(	(	PUNCT
fumecheng-11485	30	26	)	)	PUNCT
fumecheng-11485	30	27	(	(	PUNCT
fumecheng-11485	30	28	)	)	PUNCT
fumecheng-11485	30	29	0	0	PROPN
fumecheng-11485	30	30	+	+	CCONJ
fumecheng-11485	31	1	+	+	CCONJ
fumecheng-11485	32	1	−	−	X
fumecheng-11485	32	2	+	+	CCONJ
fumecheng-11485	32	3	=	=	PUNCT
fumecheng-11485	32	4	u	u	X
fumecheng-11485	32	5	t	t	NOUN
fumecheng-11485	32	6	u	u	NOUN
fumecheng-11485	32	7	p	p	PROPN
fumecheng-11485	32	8	u	u	PROPN
fumecheng-11485	32	9	a	a	DET
fumecheng-11485	32	10	u	u	X
fumecheng-11485	32	11			X
fumecheng-11485	32	12	(	(	PUNCT
fumecheng-11485	32	13	2	2	NUM
fumecheng-11485	32	14	)	)	PUNCT
fumecheng-11485	32	15	where	where	SCONJ
fumecheng-11485	32	16	ω	ω	PROPN
fumecheng-11485	32	17	is	be	AUX
fumecheng-11485	32	18	the	the	DET
fumecheng-11485	32	19	frequency	frequency	NOUN
fumecheng-11485	32	20	,	,	PUNCT
fumecheng-11485	32	21	p	p	PRON
fumecheng-11485	32	22	is	be	AUX
fumecheng-11485	32	23	the	the	DET
fumecheng-11485	32	24	homotopy	homotopy	NOUN
fumecheng-11485	32	25	parameter	parameter	NOUN
fumecheng-11485	32	26	.	.	PUNCT
fumecheng-11485	33	1	the	the	DET
fumecheng-11485	33	2	homotopy	homotopy	NOUN
fumecheng-11485	33	3	perturbation	perturbation	NOUN
fumecheng-11485	33	4	method	method	NOUN
fumecheng-11485	33	5	is	be	AUX
fumecheng-11485	33	6	to	to	PART
fumecheng-11485	33	7	deform	deform	VERB
fumecheng-11485	33	8	eq	eq	ADP
fumecheng-11485	33	9	.	.	PUNCT
fumecheng-11485	34	1	(	(	PUNCT
fumecheng-11485	34	2	2	2	X
fumecheng-11485	34	3	)	)	PUNCT
fumecheng-11485	34	4	gradually	gradually	ADV
fumecheng-11485	34	5	from	from	ADP
fumecheng-11485	34	6	p=0	p=0	PROPN
fumecheng-11485	34	7	to	to	ADP
fumecheng-11485	34	8	p=1	p=1	PROPN
fumecheng-11485	34	9	.	.	PUNCT
fumecheng-11485	35	1	when	when	SCONJ
fumecheng-11485	35	2	p	p	NOUN
fumecheng-11485	35	3	tends	tend	VERB
fumecheng-11485	35	4	to	to	ADP
fumecheng-11485	35	5	zero	zero	NUM
fumecheng-11485	35	6	,	,	PUNCT
fumecheng-11485	35	7	eq	eq	NOUN
fumecheng-11485	35	8	.	.	PUNCT
fumecheng-11485	36	1	(	(	PUNCT
fumecheng-11485	36	2	2	2	X
fumecheng-11485	36	3	)	)	PUNCT
fumecheng-11485	36	4	results	result	NOUN
fumecheng-11485	36	5	in	in	ADP
fumecheng-11485	36	6	a	a	DET
fumecheng-11485	36	7	linearized	linearized	ADJ
fumecheng-11485	36	8	oscillator	oscillator	NOUN
fumecheng-11485	36	9	,	,	PUNCT
fumecheng-11485	36	10	while	while	SCONJ
fumecheng-11485	36	11	when	when	SCONJ
fumecheng-11485	36	12	p	p	NOUN
fumecheng-11485	36	13	tends	tend	VERB
fumecheng-11485	36	14	to1	to1	PROPN
fumecheng-11485	36	15	,	,	PUNCT
fumecheng-11485	36	16	eq	eq	NOUN
fumecheng-11485	36	17	.	.	PUNCT
fumecheng-11485	37	1	(	(	PUNCT
fumecheng-11485	37	2	2	2	X
fumecheng-11485	37	3	)	)	PUNCT
fumecheng-11485	37	4	turns	turn	VERB
fumecheng-11485	37	5	to	to	PART
fumecheng-11485	37	6	be	be	AUX
fumecheng-11485	37	7	the	the	DET
fumecheng-11485	37	8	original	original	ADJ
fumecheng-11485	37	9	one	one	NUM
fumecheng-11485	37	10	.	.	PUNCT
fumecheng-11485	38	1	the	the	DET
fumecheng-11485	38	2	most	most	ADV
fumecheng-11485	38	3	important	important	ADJ
fumecheng-11485	38	4	two	two	NUM
fumecheng-11485	38	5	factors	factor	NOUN
fumecheng-11485	38	6	of	of	ADP
fumecheng-11485	38	7	the	the	DET
fumecheng-11485	38	8	homotopy	homotopy	NOUN
fumecheng-11485	38	9	perturbation	perturbation	NOUN
fumecheng-11485	38	10	method	method	NOUN
fumecheng-11485	38	11	are	be	AUX
fumecheng-11485	38	12	:	:	PUNCT
fumecheng-11485	38	13	1	1	X
fumecheng-11485	38	14	)	)	PUNCT
fumecheng-11485	38	15	how	how	SCONJ
fumecheng-11485	38	16	to	to	PART
fumecheng-11485	38	17	choose	choose	VERB
fumecheng-11485	38	18	a	a	DET
fumecheng-11485	38	19	good	good	ADJ
fumecheng-11485	38	20	initial	initial	ADJ
fumecheng-11485	38	21	guess	guess	NOUN
fumecheng-11485	38	22	with	with	ADP
fumecheng-11485	38	23	possible	possible	ADJ
fumecheng-11485	38	24	unknown	unknown	ADJ
fumecheng-11485	38	25	parameters	parameter	NOUN
fumecheng-11485	38	26	;	;	PUNCT
fumecheng-11485	38	27	and	and	CCONJ
fumecheng-11485	38	28	2	2	X
fumecheng-11485	38	29	)	)	PUNCT
fumecheng-11485	38	30	how	how	SCONJ
fumecheng-11485	38	31	to	to	PART
fumecheng-11485	38	32	establish	establish	VERB
fumecheng-11485	38	33	an	an	DET
fumecheng-11485	38	34	appropriate	appropriate	ADJ
fumecheng-11485	38	35	homotopy	homotopy	NOUN
fumecheng-11485	38	36	equation	equation	NOUN
fumecheng-11485	38	37	.	.	PUNCT
fumecheng-11485	39	1	all	all	DET
fumecheng-11485	39	2	iteration	iteration	NOUN
fumecheng-11485	39	3	methods	method	NOUN
fumecheng-11485	39	4	are	be	AUX
fumecheng-11485	39	5	sensitive	sensitive	ADJ
fumecheng-11485	39	6	to	to	ADP
fumecheng-11485	39	7	the	the	DET
fumecheng-11485	39	8	initial	initial	ADJ
fumecheng-11485	39	9	guess	guess	NOUN
fumecheng-11485	39	10	.	.	PUNCT
fumecheng-11485	40	1	a	a	DET
fumecheng-11485	40	2	good	good	ADJ
fumecheng-11485	40	3	choice	choice	NOUN
fumecheng-11485	40	4	of	of	ADP
fumecheng-11485	40	5	the	the	DET
fumecheng-11485	40	6	initial	initial	ADJ
fumecheng-11485	40	7	guess	guess	NOUN
fumecheng-11485	40	8	leads	lead	VERB
fumecheng-11485	40	9	to	to	ADP
fumecheng-11485	40	10	a	a	DET
fumecheng-11485	40	11	fast	fast	ADJ
fumecheng-11485	40	12	convergence	convergence	NOUN
fumecheng-11485	40	13	,	,	PUNCT
fumecheng-11485	40	14	while	while	SCONJ
fumecheng-11485	40	15	an	an	DET
fumecheng-11485	40	16	inappropriate	inappropriate	ADJ
fumecheng-11485	40	17	choice	choice	NOUN
fumecheng-11485	40	18	might	might	AUX
fumecheng-11485	40	19	result	result	VERB
fumecheng-11485	40	20	in	in	ADP
fumecheng-11485	40	21	a	a	DET
fumecheng-11485	40	22	wrong	wrong	ADJ
fumecheng-11485	40	23	result	result	NOUN
fumecheng-11485	40	24	[	[	X
fumecheng-11485	40	25	34	34	NUM
fumecheng-11485	40	26	]	]	PUNCT
fumecheng-11485	40	27	.	.	PUNCT
fumecheng-11485	41	1	to	to	PART
fumecheng-11485	41	2	show	show	VERB
fumecheng-11485	41	3	the	the	DET
fumecheng-11485	41	4	importance	importance	NOUN
fumecheng-11485	41	5	of	of	ADP
fumecheng-11485	41	6	the	the	DET
fumecheng-11485	41	7	homotopy	homotopy	NOUN
fumecheng-11485	41	8	equation	equation	NOUN
fumecheng-11485	41	9	in	in	ADP
fumecheng-11485	41	10	the	the	DET
fumecheng-11485	41	11	solving	solving	NOUN
fumecheng-11485	41	12	process	process	NOUN
fumecheng-11485	41	13	,	,	PUNCT
fumecheng-11485	41	14	if	if	SCONJ
fumecheng-11485	41	15	we	we	PRON
fumecheng-11485	41	16	construct	construct	VERB
fumecheng-11485	41	17	the	the	DET
fumecheng-11485	41	18	following	follow	VERB
fumecheng-11485	41	19	homotopy	homotopy	NOUN
fumecheng-11485	41	20	equation	equation	NOUN
fumecheng-11485	41	21	for	for	ADP
fumecheng-11485	41	22	a	a	DET
fumecheng-11485	41	23	nonlinear	nonlinear	ADJ
fumecheng-11485	41	24	oscillator	oscillator	NOUN
fumecheng-11485	41	25			PROPN
fumecheng-11485	41	26	2	2	NOUN
fumecheng-11485	41	27	2	2	NUM
fumecheng-11485	41	28	(	(	PUNCT
fumecheng-11485	41	29	)	)	PUNCT
fumecheng-11485	41	30	(	(	PUNCT
fumecheng-11485	41	31	)	)	PUNCT
fumecheng-11485	41	32	0	0	PROPN
fumecheng-11485	41	33	−	−	NOUN
fumecheng-11485	42	1	+	+	CCONJ
fumecheng-11485	42	2	+	+	CCONJ
fumecheng-11485	42	3	=	=	NOUN
fumecheng-11485	42	4	u	u	X
fumecheng-11485	42	5	t	t	NOUN
fumecheng-11485	42	6	u	u	NOUN
fumecheng-11485	42	7	p	p	PROPN
fumecheng-11485	42	8	u	u	PROPN
fumecheng-11485	42	9	a	a	PRON
fumecheng-11485	42	10	u	u	ADV
fumecheng-11485	42	11			X
fumecheng-11485	42	12	(	(	PUNCT
fumecheng-11485	42	13	3	3	NUM
fumecheng-11485	42	14	)	)	PUNCT
fumecheng-11485	42	15	we	we	PRON
fumecheng-11485	42	16	need	need	VERB
fumecheng-11485	42	17	an	an	DET
fumecheng-11485	42	18	infinite	infinite	ADJ
fumecheng-11485	42	19	iteration	iteration	NOUN
fumecheng-11485	42	20	to	to	PART
fumecheng-11485	42	21	obtain	obtain	VERB
fumecheng-11485	42	22	an	an	DET
fumecheng-11485	42	23	approximate	approximate	ADJ
fumecheng-11485	42	24	solution	solution	NOUN
fumecheng-11485	42	25	converging	converge	VERB
fumecheng-11485	42	26	extremely	extremely	ADV
fumecheng-11485	42	27	slowly	slowly	ADV
fumecheng-11485	42	28	to	to	ADP
fumecheng-11485	42	29	the	the	DET
fumecheng-11485	42	30	exact	exact	ADJ
fumecheng-11485	42	31	solution	solution	NOUN
fumecheng-11485	42	32	.	.	PUNCT
fumecheng-11485	43	1	this	this	PRON
fumecheng-11485	43	2	is	be	AUX
fumecheng-11485	43	3	because	because	SCONJ
fumecheng-11485	43	4	when	when	SCONJ
fumecheng-11485	43	5	p=0	p=0	PROPN
fumecheng-11485	43	6	,	,	PUNCT
fumecheng-11485	43	7	eq	eq	NOUN
fumecheng-11485	43	8	.	.	PUNCT
fumecheng-11485	43	9	(	(	PUNCT
fumecheng-11485	43	10	3	3	X
fumecheng-11485	43	11	)	)	PUNCT
fumecheng-11485	43	12	has	have	VERB
fumecheng-11485	43	13	no	no	DET
fumecheng-11485	43	14	any	any	DET
fumecheng-11485	43	15	property	property	NOUN
fumecheng-11485	43	16	of	of	ADP
fumecheng-11485	43	17	oscillation	oscillation	NOUN
fumecheng-11485	43	18	,	,	PUNCT
fumecheng-11485	43	19	it	it	PRON
fumecheng-11485	43	20	should	should	AUX
fumecheng-11485	43	21	be	be	AUX
fumecheng-11485	43	22	emphasized	emphasize	VERB
fumecheng-11485	43	23	that	that	SCONJ
fumecheng-11485	43	24	the	the	DET
fumecheng-11485	43	25	initial	initial	ADJ
fumecheng-11485	43	26	guess	guess	NOUN
fumecheng-11485	43	27	must	must	AUX
fumecheng-11485	43	28	have	have	VERB
fumecheng-11485	43	29	the	the	DET
fumecheng-11485	43	30	basic	basic	ADJ
fumecheng-11485	43	31	properties	property	NOUN
fumecheng-11485	43	32	of	of	ADP
fumecheng-11485	43	33	the	the	DET
fumecheng-11485	43	34	solution	solution	NOUN
fumecheng-11485	43	35	,	,	PUNCT
fumecheng-11485	43	36	the	the	DET
fumecheng-11485	43	37	classic	classic	ADJ
fumecheng-11485	43	38	homotopy	homotopy	NOUN
fumecheng-11485	43	39	perturbation	perturbation	NOUN
fumecheng-11485	43	40	method	method	NOUN
fumecheng-11485	43	41	always	always	ADV
fumecheng-11485	43	42	begins	begin	VERB
fumecheng-11485	43	43	with	with	ADP
fumecheng-11485	43	44	0	0	NUM
fumecheng-11485	43	45	(	(	PUNCT
fumecheng-11485	43	46	)	)	PUNCT
fumecheng-11485	43	47	cos	cos	PROPN
fumecheng-11485	44	1	=	=	PROPN
fumecheng-11485	44	2	u	u	X
fumecheng-11485	44	3	t	t	PROPN
fumecheng-11485	44	4	a	a	DET
fumecheng-11485	44	5	t	t	X
fumecheng-11485	44	6	(	(	PUNCT
fumecheng-11485	44	7	4	4	NUM
fumecheng-11485	44	8	)	)	PUNCT
fumecheng-11485	44	9	a	a	DET
fumecheng-11485	44	10	good	good	ADJ
fumecheng-11485	44	11	initial	initial	ADJ
fumecheng-11485	44	12	guess	guess	NOUN
fumecheng-11485	44	13	for	for	ADP
fumecheng-11485	44	14	approximating	approximate	VERB
fumecheng-11485	44	15	nonlinear	nonlinear	ADJ
fumecheng-11485	44	16	oscillators	oscillator	NOUN
fumecheng-11485	44	17	by	by	ADP
fumecheng-11485	44	18	the	the	DET
fumecheng-11485	44	19	homotopy	homotopy	NOUN
fumecheng-11485	44	20	perturbation	perturbation	NOUN
fumecheng-11485	44	21	method	method	NOUN
fumecheng-11485	44	22	23	23	NUM
fumecheng-11485	44	23	in	in	ADP
fumecheng-11485	44	24	this	this	DET
fumecheng-11485	44	25	paper	paper	NOUN
fumecheng-11485	44	26	,	,	PUNCT
fumecheng-11485	44	27	we	we	PRON
fumecheng-11485	44	28	improve	improve	VERB
fumecheng-11485	44	29	the	the	DET
fumecheng-11485	44	30	homotopy	homotopy	NOUN
fumecheng-11485	44	31	equation	equation	NOUN
fumecheng-11485	44	32	instead	instead	ADV
fumecheng-11485	44	33	of	of	ADP
fumecheng-11485	44	34	eq	eq	PROPN
fumecheng-11485	44	35	.	.	PUNCT
fumecheng-11485	45	1	(	(	PUNCT
fumecheng-11485	45	2	2	2	NUM
fumecheng-11485	45	3	)	)	PUNCT
fumecheng-11485	46	1	and	and	CCONJ
fumecheng-11485	46	2	choose	choose	VERB
fumecheng-11485	46	3	a	a	DET
fumecheng-11485	46	4	better	well	ADJ
fumecheng-11485	46	5	initial	initial	ADJ
fumecheng-11485	46	6	guess	guess	NOUN
fumecheng-11485	46	7	.	.	PUNCT
fumecheng-11485	47	1	instead	instead	ADV
fumecheng-11485	47	2	of	of	ADP
fumecheng-11485	47	3	eq	eq	NOUN
fumecheng-11485	47	4	.	.	PUNCT
fumecheng-11485	48	1	(	(	PUNCT
fumecheng-11485	48	2	4	4	NUM
fumecheng-11485	48	3	)	)	PUNCT
fumecheng-11485	48	4	,	,	PUNCT
fumecheng-11485	48	5	this	this	DET
fumecheng-11485	48	6	paper	paper	NOUN
fumecheng-11485	48	7	uses	use	VERB
fumecheng-11485	48	8	the	the	DET
fumecheng-11485	48	9	following	follow	VERB
fumecheng-11485	48	10	initial	initial	ADJ
fumecheng-11485	48	11	guess	guess	NOUN
fumecheng-11485	48	12	0	0	NUM
fumecheng-11485	48	13	0	0	NUM
fumecheng-11485	48	14	(	(	PUNCT
fumecheng-11485	48	15	)	)	PUNCT
fumecheng-11485	48	16	cos(2	cos(2	VERB
fumecheng-11485	48	17	1	1	NUM
fumecheng-11485	48	18	)	)	PUNCT
fumecheng-11485	48	19	=	=	NOUN
fumecheng-11485	49	1	=	=	PUNCT
fumecheng-11485	49	2	+	+	NOUN
fumecheng-11485	49	3			X
fumecheng-11485	50	1	n	n	NOUN
fumecheng-11485	51	1	i	i	PRON
fumecheng-11485	52	1	i	i	PRON
fumecheng-11485	53	1	u	u	VERB
fumecheng-11485	54	1	t	t	PROPN
fumecheng-11485	55	1	a	a	PRON
fumecheng-11485	56	1	i	i	PRON
fumecheng-11485	57	1	t	t	X
fumecheng-11485	58	1	(	(	PUNCT
fumecheng-11485	58	2	5	5	NUM
fumecheng-11485	58	3	)	)	PUNCT
fumecheng-11485	58	4	where	where	SCONJ
fumecheng-11485	58	5	ai	ai	PROPN
fumecheng-11485	58	6	(	(	PUNCT
fumecheng-11485	58	7	i=0	i=0	PROPN
fumecheng-11485	58	8	~	~	SYM
fumecheng-11485	58	9	n	n	CCONJ
fumecheng-11485	58	10	)	)	PUNCT
fumecheng-11485	58	11	are	be	AUX
fumecheng-11485	58	12	the	the	DET
fumecheng-11485	58	13	constants	constant	NOUN
fumecheng-11485	58	14	satisfying	satisfy	VERB
fumecheng-11485	58	15	the	the	DET
fumecheng-11485	58	16	following	follow	VERB
fumecheng-11485	58	17	identity	identity	NOUN
fumecheng-11485	58	18	0=	0=	PUNCT
fumecheng-11485	59	1	=	=	X
fumecheng-11485	59	2			X
fumecheng-11485	60	1	n	n	NOUN
fumecheng-11485	61	1	i	i	PRON
fumecheng-11485	61	2	i	i	PRON
fumecheng-11485	61	3	a	a	DET
fumecheng-11485	61	4	a	a	DET
fumecheng-11485	61	5	(	(	PUNCT
fumecheng-11485	61	6	6	6	NUM
fumecheng-11485	61	7	)	)	PUNCT
fumecheng-11485	61	8	the	the	DET
fumecheng-11485	61	9	initial	initial	ADJ
fumecheng-11485	61	10	guess	guess	NOUN
fumecheng-11485	61	11	given	give	VERB
fumecheng-11485	61	12	in	in	ADP
fumecheng-11485	61	13	eq	eq	ADP
fumecheng-11485	61	14	.	.	PUNCT
fumecheng-11485	62	1	(	(	PUNCT
fumecheng-11485	62	2	4	4	NUM
fumecheng-11485	62	3	)	)	PUNCT
fumecheng-11485	62	4	,	,	PUNCT
fumecheng-11485	62	5	with	with	ADP
fumecheng-11485	62	6	an	an	DET
fumecheng-11485	62	7	unknown	unknown	ADJ
fumecheng-11485	62	8	frequency	frequency	NOUN
fumecheng-11485	62	9	,	,	PUNCT
fumecheng-11485	62	10	is	be	AUX
fumecheng-11485	62	11	widely	widely	ADV
fumecheng-11485	62	12	used	use	VERB
fumecheng-11485	62	13	in	in	ADP
fumecheng-11485	62	14	the	the	DET
fumecheng-11485	62	15	homotopy	homotopy	NOUN
fumecheng-11485	62	16	perturbation	perturbation	NOUN
fumecheng-11485	62	17	method	method	NOUN
fumecheng-11485	62	18	,	,	PUNCT
fumecheng-11485	62	19	while	while	SCONJ
fumecheng-11485	62	20	eq	eq	ADJ
fumecheng-11485	62	21	.	.	PUNCT
fumecheng-11485	63	1	(	(	PUNCT
fumecheng-11485	63	2	5	5	X
fumecheng-11485	63	3	)	)	PUNCT
fumecheng-11485	63	4	contains	contain	VERB
fumecheng-11485	63	5	more	more	ADJ
fumecheng-11485	63	6	unknown	unknown	ADJ
fumecheng-11485	63	7	constants	constant	NOUN
fumecheng-11485	63	8	and	and	CCONJ
fumecheng-11485	63	9	provides	provide	VERB
fumecheng-11485	63	10	a	a	DET
fumecheng-11485	63	11	more	more	ADV
fumecheng-11485	63	12	flexible	flexible	ADJ
fumecheng-11485	63	13	approach	approach	NOUN
fumecheng-11485	63	14	to	to	ADP
fumecheng-11485	63	15	an	an	DET
fumecheng-11485	63	16	accurate	accurate	ADJ
fumecheng-11485	63	17	identification	identification	NOUN
fumecheng-11485	63	18	of	of	ADP
fumecheng-11485	63	19	the	the	DET
fumecheng-11485	63	20	frequency	frequency	NOUN
fumecheng-11485	63	21	.	.	PUNCT
fumecheng-11485	64	1	3	3	X
fumecheng-11485	64	2	.	.	X
fumecheng-11485	64	3	an	an	DET
fumecheng-11485	64	4	effective	effective	ADJ
fumecheng-11485	64	5	improvement	improvement	NOUN
fumecheng-11485	64	6	of	of	ADP
fumecheng-11485	64	7	the	the	DET
fumecheng-11485	64	8	homotopy	homotopy	NOUN
fumecheng-11485	64	9	perturbation	perturbation	NOUN
fumecheng-11485	64	10	method	method	NOUN
fumecheng-11485	64	11	in	in	ADP
fumecheng-11485	64	12	this	this	DET
fumecheng-11485	64	13	section	section	NOUN
fumecheng-11485	64	14	,	,	PUNCT
fumecheng-11485	64	15	we	we	PRON
fumecheng-11485	64	16	adopt	adopt	VERB
fumecheng-11485	64	17	the	the	DET
fumecheng-11485	64	18	well	well	ADV
fumecheng-11485	64	19	-	-	PUNCT
fumecheng-11485	64	20	known	know	VERB
fumecheng-11485	64	21	duffing	duffing	NOUN
fumecheng-11485	64	22	oscillator	oscillator	NOUN
fumecheng-11485	64	23	as	as	ADP
fumecheng-11485	64	24	an	an	DET
fumecheng-11485	64	25	example	example	NOUN
fumecheng-11485	64	26	to	to	PART
fumecheng-11485	64	27	elucidate	elucidate	VERB
fumecheng-11485	64	28	the	the	DET
fumecheng-11485	64	29	solving	solving	NOUN
fumecheng-11485	64	30	process	process	NOUN
fumecheng-11485	64	31	3	3	NUM
fumecheng-11485	64	32	0u	0u	ADJ
fumecheng-11485	64	33	u	u	NOUN
fumecheng-11485	64	34	u	u	NOUN
fumecheng-11485	65	1	+	+	X
fumecheng-11485	66	1	+	+	PUNCT
fumecheng-11485	66	2	=	=	SYM
fumecheng-11485	66	3	(	(	PUNCT
fumecheng-11485	66	4	7	7	NUM
fumecheng-11485	66	5	)	)	PUNCT
fumecheng-11485	66	6	with	with	ADP
fumecheng-11485	66	7	initial	initial	ADJ
fumecheng-11485	66	8	conditions	condition	NOUN
fumecheng-11485	66	9	(	(	PUNCT
fumecheng-11485	66	10	0	0	NUM
fumecheng-11485	66	11	)	)	PUNCT
fumecheng-11485	66	12	,	,	PUNCT
fumecheng-11485	66	13	(	(	PUNCT
fumecheng-11485	66	14	0	0	NUM
fumecheng-11485	66	15	)	)	PUNCT
fumecheng-11485	66	16	0=	0=	NOUN
fumecheng-11485	67	1	=	=	NOUN
fumecheng-11485	67	2	u	u	X
fumecheng-11485	67	3	a	a	DET
fumecheng-11485	67	4	u	u	NOUN
fumecheng-11485	67	5	(	(	PUNCT
fumecheng-11485	67	6	8)	8)	NUM
fumecheng-11485	67	7	the	the	DET
fumecheng-11485	67	8	duffing	duffing	NOUN
fumecheng-11485	67	9	oscillator	oscillator	NOUN
fumecheng-11485	67	10	is	be	AUX
fumecheng-11485	67	11	always	always	ADV
fumecheng-11485	67	12	used	use	VERB
fumecheng-11485	67	13	as	as	ADP
fumecheng-11485	67	14	a	a	DET
fumecheng-11485	67	15	good	good	ADJ
fumecheng-11485	67	16	paradigm	paradigm	NOUN
fumecheng-11485	67	17	to	to	PART
fumecheng-11485	67	18	elucidate	elucidate	VERB
fumecheng-11485	67	19	the	the	DET
fumecheng-11485	67	20	effectiveness	effectiveness	NOUN
fumecheng-11485	67	21	and	and	CCONJ
fumecheng-11485	67	22	reliability	reliability	NOUN
fumecheng-11485	67	23	of	of	ADP
fumecheng-11485	67	24	a	a	DET
fumecheng-11485	67	25	method	method	NOUN
fumecheng-11485	67	26	[	[	X
fumecheng-11485	67	27	35	35	NUM
fumecheng-11485	67	28	-	-	SYM
fumecheng-11485	67	29	39	39	NUM
fumecheng-11485	67	30	]	]	PUNCT
fumecheng-11485	67	31	.	.	PUNCT
fumecheng-11485	68	1	we	we	PRON
fumecheng-11485	68	2	choose	choose	VERB
fumecheng-11485	68	3	an	an	DET
fumecheng-11485	68	4	initial	initial	ADJ
fumecheng-11485	68	5	guess	guess	NOUN
fumecheng-11485	68	6	in	in	ADP
fumecheng-11485	68	7	the	the	DET
fumecheng-11485	68	8	form	form	NOUN
fumecheng-11485	68	9	0	0	NUM
fumecheng-11485	68	10	(	(	PUNCT
fumecheng-11485	68	11	)	)	PUNCT
fumecheng-11485	68	12	cos	cos	ADP
fumecheng-11485	69	1	cos3=	cos3=	PROPN
fumecheng-11485	69	2	+	+	PROPN
fumecheng-11485	69	3	u	u	X
fumecheng-11485	69	4	t	t	NOUN
fumecheng-11485	69	5	a	a	DET
fumecheng-11485	69	6	t	t	PROPN
fumecheng-11485	69	7	b	b	X
fumecheng-11485	69	8	t	t	X
fumecheng-11485	70	1			X
fumecheng-11485	70	2	(	(	PUNCT
fumecheng-11485	70	3	9	9	NUM
fumecheng-11485	70	4	)	)	PUNCT
fumecheng-11485	70	5	eq	eq	NOUN
fumecheng-11485	70	6	.	.	PUNCT
fumecheng-11485	71	1	(	(	PUNCT
fumecheng-11485	71	2	9	9	NUM
fumecheng-11485	71	3	)	)	PUNCT
fumecheng-11485	71	4	is	be	AUX
fumecheng-11485	71	5	the	the	DET
fumecheng-11485	71	6	exact	exact	ADJ
fumecheng-11485	71	7	solution	solution	NOUN
fumecheng-11485	71	8	of	of	ADP
fumecheng-11485	71	9	the	the	DET
fumecheng-11485	71	10	following	following	ADJ
fumecheng-11485	71	11	linear	linear	PROPN
fumecheng-11485	71	12	oscillator	oscillator	NOUN
fumecheng-11485	71	13	with	with	ADP
fumecheng-11485	71	14	a	a	DET
fumecheng-11485	71	15	forcing	force	VERB
fumecheng-11485	71	16	term	term	NOUN
fumecheng-11485	71	17	2	2	NUM
fumecheng-11485	71	18	2	2	NUM
fumecheng-11485	71	19	0	0	NUM
fumecheng-11485	71	20	0	0	NUM
fumecheng-11485	71	21	(	(	PUNCT
fumecheng-11485	71	22	)	)	PUNCT
fumecheng-11485	71	23	8	8	NUM
fumecheng-11485	71	24	cos3	cos3	PROPN
fumecheng-11485	71	25	0	0	PROPN
fumecheng-11485	71	26	+	+	CCONJ
fumecheng-11485	71	27	+	+	PUNCT
fumecheng-11485	71	28	=	=	NOUN
fumecheng-11485	71	29	u	u	X
fumecheng-11485	71	30	t	t	NOUN
fumecheng-11485	71	31	u	u	X
fumecheng-11485	71	32	b	b	X
fumecheng-11485	71	33	t	t	X
fumecheng-11485	72	1			X
fumecheng-11485	72	2			X
fumecheng-11485	72	3	,	,	PUNCT
fumecheng-11485	72	4	(	(	PUNCT
fumecheng-11485	72	5	0	0	NUM
fumecheng-11485	72	6	)	)	PUNCT
fumecheng-11485	72	7	=	=	NOUN
fumecheng-11485	72	8	u	u	X
fumecheng-11485	72	9	a	a	NOUN
fumecheng-11485	72	10	and	and	CCONJ
fumecheng-11485	72	11	(	(	PUNCT
fumecheng-11485	72	12	0	0	NUM
fumecheng-11485	72	13	)	)	PUNCT
fumecheng-11485	72	14	0	0	NOUN
fumecheng-11485	73	1	=	=	PUNCT
fumecheng-11485	73	2	u	u	NOUN
fumecheng-11485	73	3	(	(	PUNCT
fumecheng-11485	73	4	10	10	NUM
fumecheng-11485	73	5	)	)	PUNCT
fumecheng-11485	73	6	where	where	SCONJ
fumecheng-11485	73	7	a	a	PRON
fumecheng-11485	73	8	and	and	CCONJ
fumecheng-11485	73	9	b	b	NOUN
fumecheng-11485	73	10	are	be	AUX
fumecheng-11485	73	11	unknown	unknown	ADJ
fumecheng-11485	73	12	parameters	parameter	NOUN
fumecheng-11485	73	13	.	.	PUNCT
fumecheng-11485	74	1	according	accord	VERB
fumecheng-11485	74	2	to	to	ADP
fumecheng-11485	74	3	the	the	DET
fumecheng-11485	74	4	initial	initial	ADJ
fumecheng-11485	74	5	conditions	condition	NOUN
fumecheng-11485	74	6	,	,	PUNCT
fumecheng-11485	74	7	the	the	DET
fumecheng-11485	74	8	parameters	parameter	NOUN
fumecheng-11485	74	9	a	a	PRON
fumecheng-11485	74	10	and	and	CCONJ
fumecheng-11485	74	11	b	b	NOUN
fumecheng-11485	74	12	should	should	AUX
fumecheng-11485	74	13	satisfy	satisfy	VERB
fumecheng-11485	74	14	the	the	DET
fumecheng-11485	74	15	following	follow	VERB
fumecheng-11485	74	16	identity	identity	NOUN
fumecheng-11485	74	17	+	+	CCONJ
fumecheng-11485	74	18	=	=	NOUN
fumecheng-11485	74	19	a	a	DET
fumecheng-11485	74	20	b	b	NOUN
fumecheng-11485	74	21	a	a	DET
fumecheng-11485	74	22	(	(	PUNCT
fumecheng-11485	74	23	11	11	NUM
fumecheng-11485	74	24	)	)	PUNCT
fumecheng-11485	74	25	accordingly	accordingly	ADV
fumecheng-11485	74	26	we	we	PRON
fumecheng-11485	74	27	recommend	recommend	VERB
fumecheng-11485	74	28	the	the	DET
fumecheng-11485	74	29	following	follow	VERB
fumecheng-11485	74	30	homotopy	homotopy	NOUN
fumecheng-11485	74	31	equation	equation	NOUN
fumecheng-11485	74	32			PROPN
fumecheng-11485	74	33	2	2	NOUN
fumecheng-11485	74	34	2	2	NUM
fumecheng-11485	74	35	2	2	NUM
fumecheng-11485	74	36	3	3	NUM
fumecheng-11485	74	37	2	2	NUM
fumecheng-11485	74	38	(	(	PUNCT
fumecheng-11485	74	39	)	)	PUNCT
fumecheng-11485	74	40	8	8	NUM
fumecheng-11485	74	41	cos3	cos3	NOUN
fumecheng-11485	74	42	(	(	PUNCT
fumecheng-11485	74	43	1	1	NUM
fumecheng-11485	74	44	)	)	SYM
fumecheng-11485	74	45	8	8	NUM
fumecheng-11485	74	46	cos3	cos3	PROPN
fumecheng-11485	74	47	0	0	PROPN
fumecheng-11485	74	48	+	+	CCONJ
fumecheng-11485	75	1	+	+	PUNCT
fumecheng-11485	76	1	+	+	CCONJ
fumecheng-11485	76	2	−	−	X
fumecheng-11485	76	3	+	+	CCONJ
fumecheng-11485	76	4	−	−	PROPN
fumecheng-11485	76	5	=	=	SYM
fumecheng-11485	76	6	u	u	X
fumecheng-11485	76	7	t	t	NOUN
fumecheng-11485	76	8	u	u	X
fumecheng-11485	76	9	b	b	PROPN
fumecheng-11485	76	10	t	t	PROPN
fumecheng-11485	76	11	p	p	X
fumecheng-11485	76	12	u	u	X
fumecheng-11485	76	13	u	u	PROPN
fumecheng-11485	76	14	b	b	NOUN
fumecheng-11485	76	15	t	t	X
fumecheng-11485	77	1			X
fumecheng-11485	77	2			X
fumecheng-11485	77	3			PROPN
fumecheng-11485	77	4			PROPN
fumecheng-11485	77	5			X
fumecheng-11485	77	6			X
fumecheng-11485	77	7	(	(	PUNCT
fumecheng-11485	77	8	12	12	NUM
fumecheng-11485	77	9	)	)	PUNCT
fumecheng-11485	77	10	it	it	PRON
fumecheng-11485	77	11	is	be	AUX
fumecheng-11485	77	12	obvious	obvious	ADJ
fumecheng-11485	77	13	that	that	SCONJ
fumecheng-11485	77	14	when	when	SCONJ
fumecheng-11485	77	15	p=0	p=0	PROPN
fumecheng-11485	77	16	,	,	PUNCT
fumecheng-11485	77	17	eq	eq	NOUN
fumecheng-11485	77	18	.	.	PUNCT
fumecheng-11485	77	19	(	(	PUNCT
fumecheng-11485	77	20	12	12	NUM
fumecheng-11485	77	21	)	)	PUNCT
fumecheng-11485	77	22	becomes	become	VERB
fumecheng-11485	77	23	eq	eq	ADJ
fumecheng-11485	77	24	.	.	PUNCT
fumecheng-11485	78	1	(	(	PUNCT
fumecheng-11485	78	2	10	10	NUM
fumecheng-11485	78	3	)	)	PUNCT
fumecheng-11485	78	4	,	,	PUNCT
fumecheng-11485	78	5	whose	whose	DET
fumecheng-11485	78	6	solution	solution	NOUN
fumecheng-11485	78	7	is	be	AUX
fumecheng-11485	78	8	eq	eq	ADJ
fumecheng-11485	78	9	.	.	PUNCT
fumecheng-11485	79	1	(	(	PUNCT
fumecheng-11485	79	2	9	9	NUM
fumecheng-11485	79	3	)	)	PUNCT
fumecheng-11485	79	4	;	;	PUNCT
fumecheng-11485	79	5	when	when	SCONJ
fumecheng-11485	79	6	p=1	p=1	X
fumecheng-11485	79	7	,	,	PUNCT
fumecheng-11485	79	8	eq	eq	NOUN
fumecheng-11485	79	9	.	.	PUNCT
fumecheng-11485	79	10	(	(	PUNCT
fumecheng-11485	79	11	9	9	X
fumecheng-11485	79	12	)	)	PUNCT
fumecheng-11485	79	13	becomes	become	VERB
fumecheng-11485	79	14	the	the	DET
fumecheng-11485	79	15	original	original	ADJ
fumecheng-11485	79	16	one	one	NOUN
fumecheng-11485	79	17	.	.	PUNCT
fumecheng-11485	80	1	for	for	ADP
fumecheng-11485	80	2	b=0	b=0	PROPN
fumecheng-11485	80	3	,	,	PUNCT
fumecheng-11485	80	4	eq	eq	ADJ
fumecheng-11485	80	5	.	.	PUNCT
fumecheng-11485	81	1	(	(	PUNCT
fumecheng-11485	81	2	12	12	NUM
fumecheng-11485	81	3	)	)	PUNCT
fumecheng-11485	81	4	is	be	AUX
fumecheng-11485	81	5	the	the	DET
fumecheng-11485	81	6	standard	standard	ADJ
fumecheng-11485	81	7	homotopy	homotopy	NOUN
fumecheng-11485	81	8	equation	equation	NOUN
fumecheng-11485	81	9	.	.	PUNCT
fumecheng-11485	82	1	according	accord	VERB
fumecheng-11485	82	2	to	to	ADP
fumecheng-11485	82	3	the	the	DET
fumecheng-11485	82	4	homotopy	homotopy	NOUN
fumecheng-11485	82	5	perturbation	perturbation	NOUN
fumecheng-11485	82	6	method	method	NOUN
fumecheng-11485	82	7	,	,	PUNCT
fumecheng-11485	82	8	the	the	DET
fumecheng-11485	82	9	solution	solution	NOUN
fumecheng-11485	82	10	is	be	AUX
fumecheng-11485	82	11	expanded	expand	VERB
fumecheng-11485	82	12	as	as	ADP
fumecheng-11485	82	13	2	2	NUM
fumecheng-11485	82	14	0	0	NUM
fumecheng-11485	82	15	1	1	NUM
fumecheng-11485	82	16	2=	2=	NUM
fumecheng-11485	82	17	+	+	X
fumecheng-11485	83	1	+	+	PUNCT
fumecheng-11485	83	2	+	+	NOUN
fumecheng-11485	83	3	u	u	X
fumecheng-11485	83	4	u	u	NOUN
fumecheng-11485	83	5	pu	pu	PROPN
fumecheng-11485	83	6	p	p	PROPN
fumecheng-11485	83	7	u	u	PROPN
fumecheng-11485	83	8	(	(	PUNCT
fumecheng-11485	83	9	13	13	NUM
fumecheng-11485	83	10	)	)	SYM
fumecheng-11485	83	11	24	24	NUM
fumecheng-11485	83	12	ji.h	ji.h	NOUN
fumecheng-11485	83	13	.	.	PUNCT
fumecheng-11485	84	1	he	he	PRON
fumecheng-11485	84	2	,	,	PUNCT
fumecheng-11485	84	3	c.h	c.h	PROPN
fumecheng-11485	84	4	.	.	PUNCT
fumecheng-11485	85	1	he	he	PRON
fumecheng-11485	85	2	,	,	PUNCT
fumecheng-11485	85	3	a.a	a.a	PROPN
fumecheng-11485	85	4	.	.	PROPN
fumecheng-11485	85	5	alsolami	alsolami	PROPN
fumecheng-11485	85	6	eq	eq	ADP
fumecheng-11485	85	7	.	.	PUNCT
fumecheng-11485	86	1	(	(	PUNCT
fumecheng-11485	86	2	12	12	NUM
fumecheng-11485	86	3	)	)	PUNCT
fumecheng-11485	86	4	becomes	become	VERB
fumecheng-11485	86	5			PROPN
fumecheng-11485	86	6			PROPN
fumecheng-11485	86	7	2	2	NUM
fumecheng-11485	86	8	2	2	NUM
fumecheng-11485	86	9	2	2	NUM
fumecheng-11485	86	10	2	2	NUM
fumecheng-11485	86	11	0	0	NUM
fumecheng-11485	86	12	1	1	NUM
fumecheng-11485	86	13	2	2	NUM
fumecheng-11485	86	14	0	0	NUM
fumecheng-11485	86	15	1	1	NUM
fumecheng-11485	86	16	2	2	NUM
fumecheng-11485	86	17	2	2	NUM
fumecheng-11485	86	18	2	2	NUM
fumecheng-11485	86	19	2	2	NUM
fumecheng-11485	86	20	3	3	NUM
fumecheng-11485	86	21	2	2	NUM
fumecheng-11485	86	22	0	0	NUM
fumecheng-11485	86	23	1	1	NUM
fumecheng-11485	86	24	2	2	NUM
fumecheng-11485	86	25	0	0	NUM
fumecheng-11485	86	26	1	1	NUM
fumecheng-11485	86	27	2	2	NUM
fumecheng-11485	86	28	(	(	PUNCT
fumecheng-11485	86	29	)	)	PUNCT
fumecheng-11485	86	30	8	8	NUM
fumecheng-11485	86	31	cos3	cos3	NOUN
fumecheng-11485	86	32	(	(	PUNCT
fumecheng-11485	86	33	1	1	NUM
fumecheng-11485	86	34	)	)	PUNCT
fumecheng-11485	86	35	(	(	PUNCT
fumecheng-11485	86	36	)	)	PUNCT
fumecheng-11485	86	37	(	(	PUNCT
fumecheng-11485	86	38	)	)	PUNCT
fumecheng-11485	86	39	8	8	NUM
fumecheng-11485	86	40	cos3	cos3	PROPN
fumecheng-11485	86	41	0	0	NUM
fumecheng-11485	87	1			PROPN
fumecheng-11485	87	2			PROPN
fumecheng-11485	87	3	+	+	PROPN
fumecheng-11485	87	4	+	+	X
fumecheng-11485	87	5	+	+	PUNCT
fumecheng-11485	87	6	+	+	PUNCT
fumecheng-11485	87	7	+	+	PUNCT
fumecheng-11485	87	8	+	+	PUNCT
fumecheng-11485	87	9	+	+	PUNCT
fumecheng-11485	87	10	+	+	PUNCT
fumecheng-11485	88	1	+	+	CCONJ
fumecheng-11485	88	2	−	−	X
fumecheng-11485	89	1	+	+	CCONJ
fumecheng-11485	89	2	+	+	PUNCT
fumecheng-11485	89	3	+	+	PUNCT
fumecheng-11485	89	4	+	+	PUNCT
fumecheng-11485	89	5	+	+	PUNCT
fumecheng-11485	89	6	+	+	PUNCT
fumecheng-11485	89	7	+	+	CCONJ
fumecheng-11485	89	8	−	−	NOUN
fumecheng-11485	89	9	=	=	SYM
fumecheng-11485	89	10	u	u	NOUN
fumecheng-11485	89	11	pu	pu	PROPN
fumecheng-11485	89	12	p	p	PROPN
fumecheng-11485	89	13	u	u	X
fumecheng-11485	89	14	u	u	NOUN
fumecheng-11485	89	15	pu	pu	PROPN
fumecheng-11485	89	16	p	p	PROPN
fumecheng-11485	89	17	u	u	PROPN
fumecheng-11485	89	18	b	b	PROPN
fumecheng-11485	89	19	t	t	PROPN
fumecheng-11485	89	20	p	p	X
fumecheng-11485	89	21	u	u	X
fumecheng-11485	89	22	pu	pu	PROPN
fumecheng-11485	89	23	p	p	PROPN
fumecheng-11485	89	24	u	u	X
fumecheng-11485	89	25	u	u	NOUN
fumecheng-11485	89	26	pu	pu	PROPN
fumecheng-11485	89	27	p	p	PROPN
fumecheng-11485	89	28	u	u	PROPN
fumecheng-11485	89	29	b	b	PROPN
fumecheng-11485	89	30	t	t	X
fumecheng-11485	89	31			X
fumecheng-11485	89	32			X
fumecheng-11485	89	33			X
fumecheng-11485	89	34			PROPN
fumecheng-11485	89	35			PROPN
fumecheng-11485	89	36			X
fumecheng-11485	89	37			X
fumecheng-11485	89	38	(	(	PUNCT
fumecheng-11485	89	39	14	14	NUM
fumecheng-11485	89	40	)	)	PUNCT
fumecheng-11485	89	41	proceeding	proceed	VERB
fumecheng-11485	89	42	the	the	DET
fumecheng-11485	89	43	standard	standard	ADJ
fumecheng-11485	89	44	solving	solving	NOUN
fumecheng-11485	89	45	process	process	NOUN
fumecheng-11485	89	46	required	require	VERB
fumecheng-11485	89	47	by	by	ADP
fumecheng-11485	89	48	the	the	DET
fumecheng-11485	89	49	perturbation	perturbation	NOUN
fumecheng-11485	89	50	method	method	NOUN
fumecheng-11485	89	51	[	[	X
fumecheng-11485	89	52	5,6	5,6	NUM
fumecheng-11485	89	53	]	]	PUNCT
fumecheng-11485	89	54	,	,	PUNCT
fumecheng-11485	89	55	we	we	PRON
fumecheng-11485	89	56	can	can	AUX
fumecheng-11485	89	57	obtain	obtain	VERB
fumecheng-11485	89	58	a	a	DET
fumecheng-11485	89	59	series	series	NOUN
fumecheng-11485	89	60	of	of	ADP
fumecheng-11485	89	61	linear	linear	PROPN
fumecheng-11485	89	62	differential	differential	ADJ
fumecheng-11485	89	63	equations	equation	NOUN
fumecheng-11485	89	64	.	.	PUNCT
fumecheng-11485	90	1	the	the	DET
fumecheng-11485	90	2	first	first	ADJ
fumecheng-11485	90	3	two	two	NUM
fumecheng-11485	90	4	equations	equation	NOUN
fumecheng-11485	90	5	are	be	AUX
fumecheng-11485	90	6	2	2	NUM
fumecheng-11485	90	7	2	2	NUM
fumecheng-11485	90	8	0	0	NUM
fumecheng-11485	90	9	0	0	NUM
fumecheng-11485	90	10	(	(	PUNCT
fumecheng-11485	90	11	)	)	PUNCT
fumecheng-11485	90	12	8	8	NUM
fumecheng-11485	90	13	cos3	cos3	PROPN
fumecheng-11485	90	14	0	0	PROPN
fumecheng-11485	90	15	+	+	CCONJ
fumecheng-11485	91	1	+	+	PUNCT
fumecheng-11485	92	1	=	=	NOUN
fumecheng-11485	92	2	u	u	X
fumecheng-11485	92	3	t	t	NOUN
fumecheng-11485	92	4	u	u	X
fumecheng-11485	92	5	b	b	X
fumecheng-11485	92	6	t	t	X
fumecheng-11485	93	1			X
fumecheng-11485	93	2			X
fumecheng-11485	93	3	,	,	PUNCT
fumecheng-11485	93	4	0	0	NUM
fumecheng-11485	93	5	(	(	PUNCT
fumecheng-11485	93	6	0	0	NUM
fumecheng-11485	93	7	)	)	PUNCT
fumecheng-11485	93	8	=	=	NOUN
fumecheng-11485	93	9	u	u	X
fumecheng-11485	93	10	a	a	NOUN
fumecheng-11485	93	11	and	and	CCONJ
fumecheng-11485	93	12	0	0	NUM
fumecheng-11485	93	13	(	(	PUNCT
fumecheng-11485	93	14	0	0	NUM
fumecheng-11485	93	15	)	)	PUNCT
fumecheng-11485	93	16	0	0	NOUN
fumecheng-11485	94	1	=	=	PUNCT
fumecheng-11485	94	2	u	u	NOUN
fumecheng-11485	94	3	(	(	PUNCT
fumecheng-11485	94	4	15	15	NUM
fumecheng-11485	94	5	)	)	SYM
fumecheng-11485	94	6	2	2	NUM
fumecheng-11485	94	7	2	2	NUM
fumecheng-11485	94	8	3	3	NUM
fumecheng-11485	94	9	2	2	NUM
fumecheng-11485	94	10	1	1	NUM
fumecheng-11485	94	11	1	1	NUM
fumecheng-11485	94	12	0	0	NUM
fumecheng-11485	94	13	0	0	NUM
fumecheng-11485	94	14	(	(	PUNCT
fumecheng-11485	94	15	)	)	PUNCT
fumecheng-11485	94	16	(	(	PUNCT
fumecheng-11485	94	17	1	1	X
fumecheng-11485	94	18	)	)	SYM
fumecheng-11485	94	19	8	8	NUM
fumecheng-11485	94	20	cos3	cos3	PROPN
fumecheng-11485	94	21	0	0	PROPN
fumecheng-11485	94	22	+	+	CCONJ
fumecheng-11485	94	23	+	+	CCONJ
fumecheng-11485	94	24	−	−	X
fumecheng-11485	94	25	+	+	CCONJ
fumecheng-11485	94	26	−	−	PROPN
fumecheng-11485	94	27	=	=	SYM
fumecheng-11485	94	28	u	u	NOUN
fumecheng-11485	94	29	t	t	X
fumecheng-11485	94	30	u	u	X
fumecheng-11485	94	31	u	u	X
fumecheng-11485	94	32	u	u	PROPN
fumecheng-11485	94	33	b	b	NOUN
fumecheng-11485	94	34	t	t	X
fumecheng-11485	94	35			PROPN
fumecheng-11485	94	36			PROPN
fumecheng-11485	94	37			X
fumecheng-11485	94	38			X
fumecheng-11485	94	39	,	,	PUNCT
fumecheng-11485	94	40	1(0	1(0	NUM
fumecheng-11485	94	41	)	)	PUNCT
fumecheng-11485	94	42	0	0	PUNCT
fumecheng-11485	95	1	=	=	SYM
fumecheng-11485	95	2	u	u	NOUN
fumecheng-11485	95	3	and	and	CCONJ
fumecheng-11485	95	4	1(0	1(0	NUM
fumecheng-11485	95	5	)	)	PUNCT
fumecheng-11485	95	6	0	0	NOUN
fumecheng-11485	96	1	=	=	PUNCT
fumecheng-11485	96	2	u	u	NOUN
fumecheng-11485	96	3	(	(	PUNCT
fumecheng-11485	96	4	16	16	NUM
fumecheng-11485	96	5	)	)	PUNCT
fumecheng-11485	96	6	the	the	DET
fumecheng-11485	96	7	solution	solution	NOUN
fumecheng-11485	96	8	of	of	ADP
fumecheng-11485	96	9	eq	eq	PROPN
fumecheng-11485	96	10	.	.	PUNCT
fumecheng-11485	96	11	(	(	PUNCT
fumecheng-11485	96	12	15	15	NUM
fumecheng-11485	96	13	)	)	PUNCT
fumecheng-11485	96	14	is	be	AUX
fumecheng-11485	96	15	eq	eq	ADJ
fumecheng-11485	96	16	.	.	PUNCT
fumecheng-11485	97	1	(	(	PUNCT
fumecheng-11485	97	2	9	9	NUM
fumecheng-11485	97	3	)	)	PUNCT
fumecheng-11485	97	4	.	.	PUNCT
fumecheng-11485	98	1	using	use	VERB
fumecheng-11485	98	2	this	this	DET
fumecheng-11485	98	3	result	result	NOUN
fumecheng-11485	98	4	,	,	PUNCT
fumecheng-11485	98	5	eq	eq	NOUN
fumecheng-11485	98	6	.	.	PUNCT
fumecheng-11485	99	1	(	(	PUNCT
fumecheng-11485	99	2	16	16	NUM
fumecheng-11485	99	3	)	)	PUNCT
fumecheng-11485	99	4	becomes	become	VERB
fumecheng-11485	99	5	2	2	NUM
fumecheng-11485	99	6	2	2	NUM
fumecheng-11485	99	7	1	1	NUM
fumecheng-11485	99	8	1	1	NUM
fumecheng-11485	99	9	3	3	NUM
fumecheng-11485	99	10	2	2	NUM
fumecheng-11485	99	11	(	(	PUNCT
fumecheng-11485	99	12	)	)	PUNCT
fumecheng-11485	99	13	(	(	PUNCT
fumecheng-11485	99	14	1	1	X
fumecheng-11485	99	15	)	)	PUNCT
fumecheng-11485	99	16	(	(	PUNCT
fumecheng-11485	99	17	cos	cos	PROPN
fumecheng-11485	99	18	cos3	cos3	PROPN
fumecheng-11485	99	19	)	)	PUNCT
fumecheng-11485	100	1	(	(	PUNCT
fumecheng-11485	100	2	cos	cos	PROPN
fumecheng-11485	100	3	cos3	cos3	PROPN
fumecheng-11485	100	4	)	)	PUNCT
fumecheng-11485	100	5	8	8	NUM
fumecheng-11485	100	6	cos3	cos3	PROPN
fumecheng-11485	100	7	0	0	NUM
fumecheng-11485	100	8			PROPN
fumecheng-11485	100	9	+	+	CCONJ
fumecheng-11485	100	10	+	+	CCONJ
fumecheng-11485	100	11	−	−	X
fumecheng-11485	100	12	+	+	SYM
fumecheng-11485	100	13	+	+	PUNCT
fumecheng-11485	101	1	+	+	CCONJ
fumecheng-11485	101	2	−	−	NOUN
fumecheng-11485	101	3	=	=	SYM
fumecheng-11485	101	4	u	u	NOUN
fumecheng-11485	101	5	t	t	NOUN
fumecheng-11485	101	6	u	u	NOUN
fumecheng-11485	101	7	a	a	DET
fumecheng-11485	101	8	t	t	PROPN
fumecheng-11485	101	9	b	b	PROPN
fumecheng-11485	101	10	t	t	PROPN
fumecheng-11485	101	11	a	a	DET
fumecheng-11485	101	12	t	t	PROPN
fumecheng-11485	101	13	b	b	PROPN
fumecheng-11485	101	14	t	t	PROPN
fumecheng-11485	101	15	b	b	PROPN
fumecheng-11485	101	16	t	t	PROPN
fumecheng-11485	101	17			X
fumecheng-11485	101	18			X
fumecheng-11485	101	19			X
fumecheng-11485	101	20			PROPN
fumecheng-11485	101	21			PROPN
fumecheng-11485	101	22			X
fumecheng-11485	101	23			X
fumecheng-11485	101	24			X
fumecheng-11485	101	25			X
fumecheng-11485	101	26	(	(	PUNCT
fumecheng-11485	101	27	17	17	NUM
fumecheng-11485	101	28	)	)	PUNCT
fumecheng-11485	101	29	simplifying	simplify	VERB
fumecheng-11485	101	30	eq	eq	ADP
fumecheng-11485	101	31	.	.	PUNCT
fumecheng-11485	102	1	(	(	PUNCT
fumecheng-11485	102	2	17	17	NUM
fumecheng-11485	102	3	)	)	PUNCT
fumecheng-11485	102	4	yields	yield	VERB
fumecheng-11485	102	5	the	the	DET
fumecheng-11485	102	6	following	follow	VERB
fumecheng-11485	102	7	equation	equation	NOUN
fumecheng-11485	102	8	2	2	NUM
fumecheng-11485	102	9	2	2	NUM
fumecheng-11485	102	10	3	3	NUM
fumecheng-11485	102	11	2	2	NUM
fumecheng-11485	102	12	2	2	NUM
fumecheng-11485	102	13	1	1	NUM
fumecheng-11485	102	14	1	1	NUM
fumecheng-11485	102	15	3	3	NUM
fumecheng-11485	102	16	2	2	NUM
fumecheng-11485	102	17	3	3	NUM
fumecheng-11485	102	18	2	2	NUM
fumecheng-11485	102	19	2	2	NUM
fumecheng-11485	102	20	2	2	NUM
fumecheng-11485	102	21	2	2	NUM
fumecheng-11485	102	22	3	3	NUM
fumecheng-11485	102	23	3	3	NUM
fumecheng-11485	102	24	3	3	NUM
fumecheng-11485	102	25	3	3	NUM
fumecheng-11485	102	26	(	(	PUNCT
fumecheng-11485	102	27	)	)	PUNCT
fumecheng-11485	102	28	(	(	PUNCT
fumecheng-11485	102	29	1	1	X
fumecheng-11485	102	30	)	)	PUNCT
fumecheng-11485	102	31	(	(	PUNCT
fumecheng-11485	102	32	)	)	PUNCT
fumecheng-11485	102	33	cos	cos	ADP
fumecheng-11485	102	34	4	4	NUM
fumecheng-11485	102	35	4	4	NUM
fumecheng-11485	102	36	2	2	NUM
fumecheng-11485	102	37	1	1	NUM
fumecheng-11485	102	38	3	3	NUM
fumecheng-11485	102	39	3	3	NUM
fumecheng-11485	102	40	(	(	PUNCT
fumecheng-11485	102	41	)	)	PUNCT
fumecheng-11485	102	42	8	8	NUM
fumecheng-11485	102	43	cos3	cos3	PROPN
fumecheng-11485	102	44	4	4	NUM
fumecheng-11485	102	45	2	2	NUM
fumecheng-11485	102	46	4	4	NUM
fumecheng-11485	102	47	3	3	NUM
fumecheng-11485	102	48	3	3	NUM
fumecheng-11485	102	49	3	3	NUM
fumecheng-11485	102	50	1	1	NUM
fumecheng-11485	102	51	(	(	PUNCT
fumecheng-11485	102	52	)	)	PUNCT
fumecheng-11485	102	53	cos5	cos5	PROPN
fumecheng-11485	102	54	cos7	cos7	PROPN
fumecheng-11485	102	55	cos9	cos9	PROPN
fumecheng-11485	102	56	4	4	NUM
fumecheng-11485	102	57	4	4	NUM
fumecheng-11485	102	58	4	4	NUM
fumecheng-11485	102	59	4	4	NUM
fumecheng-11485	102	60			ADP
fumecheng-11485	102	61			X
fumecheng-11485	102	62			PROPN
fumecheng-11485	102	63	+	+	CCONJ
fumecheng-11485	102	64	+	+	CCONJ
fumecheng-11485	102	65	−	−	X
fumecheng-11485	103	1	+	+	CCONJ
fumecheng-11485	103	2	+	+	PUNCT
fumecheng-11485	103	3	+	+	ADJ
fumecheng-11485	103	4			NUM
fumecheng-11485	103	5			NOUN
fumecheng-11485	104	1			PROPN
fumecheng-11485	104	2			PROPN
fumecheng-11485	105	1			ADP
fumecheng-11485	105	2			NUM
fumecheng-11485	106	1	+	+	PUNCT
fumecheng-11485	107	1	+	+	PUNCT
fumecheng-11485	108	1	+	+	CCONJ
fumecheng-11485	108	2	−	−	X
fumecheng-11485	109	1	+	+	CCONJ
fumecheng-11485	110	1	+	+	ADJ
fumecheng-11485	110	2			NUM
fumecheng-11485	110	3			NOUN
fumecheng-11485	111	1			PROPN
fumecheng-11485	111	2			PROPN
fumecheng-11485	112	1	+	+	PUNCT
fumecheng-11485	113	1	+	+	PUNCT
fumecheng-11485	113	2	+	+	CCONJ
fumecheng-11485	113	3	+	+	NUM
fumecheng-11485	113	4	u	u	X
fumecheng-11485	113	5	t	t	NOUN
fumecheng-11485	113	6	u	u	NOUN
fumecheng-11485	113	7	a	a	DET
fumecheng-11485	113	8	a	a	DET
fumecheng-11485	113	9	a	a	PRON
fumecheng-11485	113	10	b	b	X
fumecheng-11485	113	11	ab	ab	PROPN
fumecheng-11485	113	12	t	t	PROPN
fumecheng-11485	113	13	a	a	PRON
fumecheng-11485	113	14	a	a	DET
fumecheng-11485	113	15	b	b	PROPN
fumecheng-11485	113	16	b	b	PROPN
fumecheng-11485	113	17	b	b	PROPN
fumecheng-11485	113	18	b	b	PROPN
fumecheng-11485	113	19	t	t	PROPN
fumecheng-11485	113	20	a	a	DET
fumecheng-11485	113	21	b	b	X
fumecheng-11485	113	22	ab	ab	PROPN
fumecheng-11485	113	23	t	t	PROPN
fumecheng-11485	113	24	ab	ab	PROPN
fumecheng-11485	113	25	t	t	PROPN
fumecheng-11485	113	26	b	b	PROPN
fumecheng-11485	113	27	t	t	PROPN
fumecheng-11485	113	28			X
fumecheng-11485	113	29			PROPN
fumecheng-11485	113	30			PROPN
fumecheng-11485	113	31			PROPN
fumecheng-11485	113	32			PROPN
fumecheng-11485	113	33			X
fumecheng-11485	113	34			PROPN
fumecheng-11485	113	35			PROPN
fumecheng-11485	113	36			PROPN
fumecheng-11485	113	37			PROPN
fumecheng-11485	113	38			PROPN
fumecheng-11485	113	39			PROPN
fumecheng-11485	113	40			X
fumecheng-11485	113	41	(	(	PUNCT
fumecheng-11485	113	42	18	18	NUM
fumecheng-11485	113	43	)	)	PUNCT
fumecheng-11485	113	44	no	no	DET
fumecheng-11485	113	45	term	term	NOUN
fumecheng-11485	113	46	of	of	ADP
fumecheng-11485	113	47	tcosωt	tcosωt	NOUN
fumecheng-11485	113	48	should	should	AUX
fumecheng-11485	113	49	be	be	AUX
fumecheng-11485	113	50	involved	involve	VERB
fumecheng-11485	113	51	in	in	ADP
fumecheng-11485	113	52	u1	u1	NOUN
fumecheng-11485	113	53	for	for	ADP
fumecheng-11485	113	54	a	a	DET
fumecheng-11485	113	55	periodic	periodic	ADJ
fumecheng-11485	113	56	solution	solution	NOUN
fumecheng-11485	113	57	,	,	PUNCT
fumecheng-11485	113	58	so	so	CCONJ
fumecheng-11485	113	59	the	the	DET
fumecheng-11485	113	60	coefficient	coefficient	NOUN
fumecheng-11485	113	61	of	of	ADP
fumecheng-11485	113	62	cosωt	cosωt	NOUN
fumecheng-11485	113	63	should	should	AUX
fumecheng-11485	113	64	be	be	AUX
fumecheng-11485	113	65	zero	zero	NUM
fumecheng-11485	113	66	:	:	PUNCT
fumecheng-11485	113	67	2	2	NUM
fumecheng-11485	113	68	3	3	NUM
fumecheng-11485	113	69	2	2	NUM
fumecheng-11485	113	70	23	23	NUM
fumecheng-11485	113	71	3	3	NUM
fumecheng-11485	113	72	3	3	NUM
fumecheng-11485	113	73	(	(	PUNCT
fumecheng-11485	113	74	1	1	NUM
fumecheng-11485	113	75	)	)	PUNCT
fumecheng-11485	113	76	(	(	PUNCT
fumecheng-11485	113	77	)	)	PUNCT
fumecheng-11485	113	78	0	0	NUM
fumecheng-11485	113	79	4	4	NUM
fumecheng-11485	113	80	4	4	NUM
fumecheng-11485	113	81	2	2	NUM
fumecheng-11485	113	82	−	−	NOUN
fumecheng-11485	113	83	+	+	CCONJ
fumecheng-11485	114	1	+	+	PUNCT
fumecheng-11485	115	1	+	+	CCONJ
fumecheng-11485	115	2	=	=	NOUN
fumecheng-11485	115	3	a	a	DET
fumecheng-11485	115	4	a	a	DET
fumecheng-11485	115	5	a	a	DET
fumecheng-11485	115	6	b	b	PROPN
fumecheng-11485	115	7	ab	ab	ADV
fumecheng-11485	115	8			PROPN
fumecheng-11485	115	9	(	(	PUNCT
fumecheng-11485	115	10	19	19	NUM
fumecheng-11485	115	11	)	)	PUNCT
fumecheng-11485	115	12	or	or	CCONJ
fumecheng-11485	115	13	2	2	NUM
fumecheng-11485	115	14	2	2	NUM
fumecheng-11485	115	15	2	2	NUM
fumecheng-11485	115	16	2	2	NUM
fumecheng-11485	115	17	2	2	NUM
fumecheng-11485	115	18	23	23	NUM
fumecheng-11485	115	19	3	3	NUM
fumecheng-11485	115	20	3	3	NUM
fumecheng-11485	115	21	3	3	NUM
fumecheng-11485	115	22	3	3	NUM
fumecheng-11485	115	23	1	1	NUM
fumecheng-11485	115	24	(	(	PUNCT
fumecheng-11485	115	25	)	)	PUNCT
fumecheng-11485	115	26	1	1	NUM
fumecheng-11485	115	27	(	(	PUNCT
fumecheng-11485	115	28	2	2	NUM
fumecheng-11485	115	29	)	)	SYM
fumecheng-11485	115	30	1	1	NUM
fumecheng-11485	115	31	(	(	PUNCT
fumecheng-11485	115	32	2	2	NUM
fumecheng-11485	115	33	)	)	PUNCT
fumecheng-11485	116	1	4	4	NUM
fumecheng-11485	116	2	4	4	NUM
fumecheng-11485	116	3	2	2	NUM
fumecheng-11485	116	4	4	4	NUM
fumecheng-11485	116	5	4	4	NUM
fumecheng-11485	116	6	=	=	SYM
fumecheng-11485	116	7	+	+	PUNCT
fumecheng-11485	117	1	+	+	PUNCT
fumecheng-11485	117	2	+	+	PUNCT
fumecheng-11485	117	3	=	=	SYM
fumecheng-11485	118	1	+	+	PUNCT
fumecheng-11485	118	2	+	+	CCONJ
fumecheng-11485	118	3	=	=	SYM
fumecheng-11485	119	1	+	+	CCONJ
fumecheng-11485	119	2	+	+	NUM
fumecheng-11485	119	3	−a	−a	ADJ
fumecheng-11485	119	4	ab	ab	PROPN
fumecheng-11485	119	5	b	b	PROPN
fumecheng-11485	119	6	aa	aa	PROPN
fumecheng-11485	119	7	b	b	PROPN
fumecheng-11485	119	8	a	a	DET
fumecheng-11485	119	9	b	b	NOUN
fumecheng-11485	119	10	ba	ba	PROPN
fumecheng-11485	119	11			PROPN
fumecheng-11485	119	12			PROPN
fumecheng-11485	119	13			PROPN
fumecheng-11485	119	14	(	(	PUNCT
fumecheng-11485	119	15	20	20	NUM
fumecheng-11485	119	16	)	)	PUNCT
fumecheng-11485	119	17	from	from	ADP
fumecheng-11485	119	18	eq	eq	ADP
fumecheng-11485	119	19	.	.	PUNCT
fumecheng-11485	120	1	(	(	PUNCT
fumecheng-11485	120	2	7	7	X
fumecheng-11485	120	3	)	)	PUNCT
fumecheng-11485	120	4	we	we	PRON
fumecheng-11485	120	5	have	have	VERB
fumecheng-11485	120	6	3	3	NUM
fumecheng-11485	120	7	2(0	2(0	NUM
fumecheng-11485	120	8	)	)	PUNCT
fumecheng-11485	120	9	(	(	PUNCT
fumecheng-11485	120	10	0	0	NUM
fumecheng-11485	120	11	)	)	PUNCT
fumecheng-11485	120	12	(	(	PUNCT
fumecheng-11485	120	13	0	0	NUM
fumecheng-11485	120	14	)	)	PUNCT
fumecheng-11485	120	15	(	(	PUNCT
fumecheng-11485	120	16	1	1	X
fumecheng-11485	120	17	)	)	PUNCT
fumecheng-11485	120	18	u	u	NOUN
fumecheng-11485	120	19	u	u	NOUN
fumecheng-11485	120	20	u	u	NOUN
fumecheng-11485	120	21	a	a	DET
fumecheng-11485	120	22	a	a	PROPN
fumecheng-11485	120	23			PROPN
fumecheng-11485	120	24	=	=	PUNCT
fumecheng-11485	121	1	−	−	PROPN
fumecheng-11485	122	1	−	−	PROPN
fumecheng-11485	123	1	=	=	SYM
fumecheng-11485	124	1	−	−	PROPN
fumecheng-11485	125	1	+	+	CCONJ
fumecheng-11485	125	2	(	(	PUNCT
fumecheng-11485	125	3	21	21	NUM
fumecheng-11485	125	4	)	)	PUNCT
fumecheng-11485	125	5	while	while	SCONJ
fumecheng-11485	125	6	eq	eq	ADJ
fumecheng-11485	125	7	.	.	PUNCT
fumecheng-11485	126	1	(	(	PUNCT
fumecheng-11485	126	2	9	9	X
fumecheng-11485	126	3	)	)	PUNCT
fumecheng-11485	126	4	predicts	predict	NOUN
fumecheng-11485	126	5	2(0	2(0	NUM
fumecheng-11485	126	6	)	)	PUNCT
fumecheng-11485	126	7	(	(	PUNCT
fumecheng-11485	126	8	9	9	X
fumecheng-11485	126	9	)	)	PUNCT
fumecheng-11485	126	10	u	u	NOUN
fumecheng-11485	126	11	a	a	DET
fumecheng-11485	126	12	b	b	NOUN
fumecheng-11485	126	13			X
fumecheng-11485	127	1	=	=	SYM
fumecheng-11485	127	2	−	−	PROPN
fumecheng-11485	127	3	+	+	CCONJ
fumecheng-11485	127	4	(	(	PUNCT
fumecheng-11485	127	5	22	22	NUM
fumecheng-11485	127	6	)	)	PUNCT
fumecheng-11485	127	7	we	we	PRON
fumecheng-11485	127	8	,	,	PUNCT
fumecheng-11485	127	9	therefore	therefore	ADV
fumecheng-11485	127	10	,	,	PUNCT
fumecheng-11485	127	11	have	have	VERB
fumecheng-11485	127	12	2	2	NUM
fumecheng-11485	127	13	2	2	NUM
fumecheng-11485	127	14	(	(	PUNCT
fumecheng-11485	127	15	9	9	NUM
fumecheng-11485	127	16	)	)	PUNCT
fumecheng-11485	127	17	(	(	PUNCT
fumecheng-11485	127	18	1	1	X
fumecheng-11485	127	19	)	)	PUNCT
fumecheng-11485	127	20	+	+	NOUN
fumecheng-11485	128	1	=	=	PUNCT
fumecheng-11485	129	1	+	+	ADP
fumecheng-11485	129	2	a	a	DET
fumecheng-11485	129	3	b	b	NOUN
fumecheng-11485	129	4	a	a	DET
fumecheng-11485	129	5	a	a	ADV
fumecheng-11485	129	6			PROPN
fumecheng-11485	129	7	(	(	PUNCT
fumecheng-11485	129	8	23	23	NUM
fumecheng-11485	129	9	)	)	PUNCT
fumecheng-11485	129	10	or	or	CCONJ
fumecheng-11485	129	11	2	2	NUM
fumecheng-11485	129	12	2	2	NUM
fumecheng-11485	129	13	2	2	NUM
fumecheng-11485	129	14	(	(	PUNCT
fumecheng-11485	129	15	1	1	NUM
fumecheng-11485	129	16	)	)	PUNCT
fumecheng-11485	129	17	(	(	PUNCT
fumecheng-11485	129	18	1	1	X
fumecheng-11485	129	19	)	)	PUNCT
fumecheng-11485	129	20	9	9	NUM
fumecheng-11485	129	21	8	8	NUM
fumecheng-11485	129	22	+	+	CCONJ
fumecheng-11485	129	23	+	+	PUNCT
fumecheng-11485	129	24	=	=	SYM
fumecheng-11485	129	25	=	=	PUNCT
fumecheng-11485	130	1	+	+	PUNCT
fumecheng-11485	130	2	+	+	CCONJ
fumecheng-11485	130	3	a	a	DET
fumecheng-11485	130	4	a	a	DET
fumecheng-11485	130	5	a	a	DET
fumecheng-11485	130	6	a	a	DET
fumecheng-11485	130	7	a	a	DET
fumecheng-11485	130	8	b	b	NOUN
fumecheng-11485	130	9	a	a	DET
fumecheng-11485	130	10	b	b	NOUN
fumecheng-11485	130	11			PROPN
fumecheng-11485	130	12			PROPN
fumecheng-11485	130	13			X
fumecheng-11485	130	14	(	(	PUNCT
fumecheng-11485	130	15	24	24	NUM
fumecheng-11485	130	16	)	)	PUNCT
fumecheng-11485	130	17	a	a	DET
fumecheng-11485	130	18	good	good	ADJ
fumecheng-11485	130	19	initial	initial	ADJ
fumecheng-11485	130	20	guess	guess	NOUN
fumecheng-11485	130	21	for	for	ADP
fumecheng-11485	130	22	approximating	approximate	VERB
fumecheng-11485	130	23	nonlinear	nonlinear	ADJ
fumecheng-11485	130	24	oscillators	oscillator	NOUN
fumecheng-11485	130	25	by	by	ADP
fumecheng-11485	130	26	the	the	DET
fumecheng-11485	130	27	homotopy	homotopy	NOUN
fumecheng-11485	130	28	perturbation	perturbation	NOUN
fumecheng-11485	130	29	method	method	NOUN
fumecheng-11485	130	30	25	25	NUM
fumecheng-11485	130	31	for	for	ADP
fumecheng-11485	130	32	given	give	VERB
fumecheng-11485	130	33	a	a	PRON
fumecheng-11485	130	34	and	and	CCONJ
fumecheng-11485	130	35	ε	ε	PROPN
fumecheng-11485	130	36	,	,	PUNCT
fumecheng-11485	130	37	we	we	PRON
fumecheng-11485	130	38	can	can	AUX
fumecheng-11485	130	39	obtain	obtain	VERB
fumecheng-11485	130	40	the	the	DET
fumecheng-11485	130	41	approximate	approximate	ADJ
fumecheng-11485	130	42	frequency	frequency	NOUN
fumecheng-11485	130	43	easily	easily	ADV
fumecheng-11485	130	44	by	by	ADP
fumecheng-11485	130	45	solving	solve	VERB
fumecheng-11485	130	46	eqs	eqs	PROPN
fumecheng-11485	130	47	.	.	PUNCT
fumecheng-11485	131	1	(	(	PUNCT
fumecheng-11485	131	2	20	20	NUM
fumecheng-11485	131	3	)	)	PUNCT
fumecheng-11485	131	4	and	and	CCONJ
fumecheng-11485	131	5	(	(	PUNCT
fumecheng-11485	131	6	24	24	NUM
fumecheng-11485	131	7	)	)	PUNCT
fumecheng-11485	131	8	simultaneously	simultaneously	ADV
fumecheng-11485	131	9	.	.	PUNCT
fumecheng-11485	132	1	4	4	X
fumecheng-11485	132	2	.	.	X
fumecheng-11485	132	3	discussion	discussion	NOUN
fumecheng-11485	132	4	in	in	ADP
fumecheng-11485	132	5	case	case	NOUN
fumecheng-11485	132	6	ε<<1	ε<<1	NUM
fumecheng-11485	132	7	,	,	PUNCT
fumecheng-11485	132	8	we	we	PRON
fumecheng-11485	132	9	can	can	AUX
fumecheng-11485	132	10	determine	determine	VERB
fumecheng-11485	132	11	approximately	approximately	ADV
fumecheng-11485	132	12	the	the	DET
fumecheng-11485	132	13	value	value	NOUN
fumecheng-11485	132	14	of	of	ADP
fumecheng-11485	132	15	b	b	NOUN
fumecheng-11485	132	16	from	from	ADP
fumecheng-11485	132	17	the	the	DET
fumecheng-11485	132	18	following	follow	VERB
fumecheng-11485	132	19	equation	equation	NOUN
fumecheng-11485	132	20	by	by	ADP
fumecheng-11485	132	21	the	the	DET
fumecheng-11485	132	22	perturbation	perturbation	NOUN
fumecheng-11485	132	23	method	method	NOUN
fumecheng-11485	132	24	2	2	NUM
fumecheng-11485	132	25	2	2	NUM
fumecheng-11485	132	26	23	23	NUM
fumecheng-11485	132	27	(	(	PUNCT
fumecheng-11485	132	28	1	1	NUM
fumecheng-11485	132	29	)	)	SYM
fumecheng-11485	132	30	1	1	NUM
fumecheng-11485	132	31	(	(	PUNCT
fumecheng-11485	132	32	2	2	NUM
fumecheng-11485	132	33	)	)	PUNCT
fumecheng-11485	132	34	4	4	NUM
fumecheng-11485	132	35	8	8	NUM
fumecheng-11485	132	36	+	+	CCONJ
fumecheng-11485	132	37	+	+	PUNCT
fumecheng-11485	133	1	+	+	CCONJ
fumecheng-11485	133	2	−	−	NOUN
fumecheng-11485	134	1	=	=	SYM
fumecheng-11485	134	2	+	+	CCONJ
fumecheng-11485	134	3	a	a	DET
fumecheng-11485	134	4	a	a	DET
fumecheng-11485	134	5	a	a	PRON
fumecheng-11485	134	6	b	b	NOUN
fumecheng-11485	134	7	ba	ba	PROPN
fumecheng-11485	134	8	a	a	DET
fumecheng-11485	134	9	b	b	PROPN
fumecheng-11485	134	10			PROPN
fumecheng-11485	134	11			PROPN
fumecheng-11485	134	12	(	(	PUNCT
fumecheng-11485	134	13	25	25	NUM
fumecheng-11485	134	14	)	)	PUNCT
fumecheng-11485	134	15	the	the	DET
fumecheng-11485	134	16	perturbation	perturbation	NOUN
fumecheng-11485	134	17	solution	solution	NOUN
fumecheng-11485	134	18	for	for	ADP
fumecheng-11485	134	19	b	b	PROPN
fumecheng-11485	134	20	reads	read	NOUN
fumecheng-11485	134	21	31	31	NUM
fumecheng-11485	134	22	32	32	NUM
fumecheng-11485	134	23	=	=	SYM
fumecheng-11485	134	24	b	b	NOUN
fumecheng-11485	134	25	a	a	PROPN
fumecheng-11485	134	26	(	(	PUNCT
fumecheng-11485	134	27	26	26	NUM
fumecheng-11485	134	28	)	)	PUNCT
fumecheng-11485	134	29	we	we	PRON
fumecheng-11485	134	30	,	,	PUNCT
fumecheng-11485	134	31	therefore	therefore	ADV
fumecheng-11485	134	32	,	,	PUNCT
fumecheng-11485	134	33	obtain	obtain	VERB
fumecheng-11485	134	34	2	2	NUM
fumecheng-11485	134	35	2	2	NUM
fumecheng-11485	134	36	2	2	NUM
fumecheng-11485	134	37	2	2	NUM
fumecheng-11485	134	38	1	1	NUM
fumecheng-11485	134	39	3	3	NUM
fumecheng-11485	134	40	1	1	NUM
fumecheng-11485	134	41	1	1	NUM
fumecheng-11485	134	42	4	4	NUM
fumecheng-11485	134	43	1	1	NUM
fumecheng-11485	134	44	4	4	NUM
fumecheng-11485	134	45	+	+	NUM
fumecheng-11485	134	46	=	=	SYM
fumecheng-11485	134	47	=	=	PUNCT
fumecheng-11485	135	1	+	+	PUNCT
fumecheng-11485	135	2	+	+	CCONJ
fumecheng-11485	135	3	a	a	DET
fumecheng-11485	135	4	a	a	DET
fumecheng-11485	135	5	a	a	DET
fumecheng-11485	135	6			PROPN
fumecheng-11485	135	7			PUNCT
fumecheng-11485	135	8			PROPN
fumecheng-11485	135	9			PROPN
fumecheng-11485	135	10	(	(	PUNCT
fumecheng-11485	135	11	27	27	NUM
fumecheng-11485	135	12	)	)	PUNCT
fumecheng-11485	135	13	eq	eq	NOUN
fumecheng-11485	135	14	.	.	PUNCT
fumecheng-11485	136	1	(	(	PUNCT
fumecheng-11485	136	2	27	27	NUM
fumecheng-11485	136	3	)	)	PUNCT
fumecheng-11485	136	4	is	be	AUX
fumecheng-11485	136	5	just	just	ADV
fumecheng-11485	136	6	same	same	ADJ
fumecheng-11485	136	7	as	as	ADP
fumecheng-11485	136	8	that	that	PRON
fumecheng-11485	136	9	solved	solve	VERB
fumecheng-11485	136	10	by	by	ADP
fumecheng-11485	136	11	the	the	DET
fumecheng-11485	136	12	classic	classic	ADJ
fumecheng-11485	136	13	homotopy	homotopy	NOUN
fumecheng-11485	136	14	perturbation	perturbation	NOUN
fumecheng-11485	136	15	method	method	NOUN
fumecheng-11485	136	16	,	,	PUNCT
fumecheng-11485	136	17	and	and	CCONJ
fumecheng-11485	136	18	it	it	PRON
fumecheng-11485	136	19	is	be	AUX
fumecheng-11485	136	20	valid	valid	ADJ
fumecheng-11485	136	21	for	for	ADP
fumecheng-11485	136	22	ε<<1	ε<<1	PROPN
fumecheng-11485	136	23	.	.	PUNCT
fumecheng-11485	137	1	considering	consider	VERB
fumecheng-11485	137	2	our	our	PRON
fumecheng-11485	137	3	small	small	ADJ
fumecheng-11485	137	4	assumption	assumption	NOUN
fumecheng-11485	137	5	of	of	ADP
fumecheng-11485	137	6	the	the	DET
fumecheng-11485	137	7	parameter	parameter	NOUN
fumecheng-11485	137	8	ε	ε	PROPN
fumecheng-11485	137	9	,	,	PUNCT
fumecheng-11485	137	10	we	we	PRON
fumecheng-11485	137	11	can	can	AUX
fumecheng-11485	137	12	not	not	PART
fumecheng-11485	137	13	fail	fail	VERB
fumecheng-11485	137	14	to	to	PART
fumecheng-11485	137	15	appreciate	appreciate	VERB
fumecheng-11485	137	16	its	its	PRON
fumecheng-11485	137	17	harmony	harmony	NOUN
fumecheng-11485	137	18	and	and	CCONJ
fumecheng-11485	137	19	intoxicating	intoxicate	VERB
fumecheng-11485	137	20	formula	formula	NOUN
fumecheng-11485	137	21	valid	valid	NOUN
fumecheng-11485	137	22	for	for	ADP
fumecheng-11485	137	23	all	all	DET
fumecheng-11485	137	24	values	value	NOUN
fumecheng-11485	137	25	of	of	ADP
fumecheng-11485	137	26	ε>0	ε>0	NUM
fumecheng-11485	137	27	.	.	PUNCT
fumecheng-11485	138	1	considering	consider	VERB
fumecheng-11485	138	2	another	another	DET
fumecheng-11485	138	3	case	case	NOUN
fumecheng-11485	138	4	when	when	SCONJ
fumecheng-11485	138	5	ε	ε	PROPN
fumecheng-11485	138	6	tends	tend	VERB
fumecheng-11485	138	7	to	to	PART
fumecheng-11485	138	8	infinity	infinity	VERB
fumecheng-11485	138	9	,	,	PUNCT
fumecheng-11485	138	10	eq	eq	ADJ
fumecheng-11485	138	11	.	.	PUNCT
fumecheng-11485	139	1	(	(	PUNCT
fumecheng-11485	139	2	25	25	NUM
fumecheng-11485	139	3	)	)	PUNCT
fumecheng-11485	139	4	becomes	become	VERB
fumecheng-11485	139	5	3	3	NUM
fumecheng-11485	139	6	2	2	NUM
fumecheng-11485	139	7	23	23	NUM
fumecheng-11485	139	8	(	(	PUNCT
fumecheng-11485	139	9	2	2	NUM
fumecheng-11485	139	10	)	)	PUNCT
fumecheng-11485	139	11	4	4	NUM
fumecheng-11485	139	12	8	8	NUM
fumecheng-11485	139	13	+	+	CCONJ
fumecheng-11485	139	14	−	−	PROPN
fumecheng-11485	140	1	=	=	SYM
fumecheng-11485	141	1	+	+	CCONJ
fumecheng-11485	141	2	a	a	DET
fumecheng-11485	141	3	a	a	DET
fumecheng-11485	141	4	b	b	NOUN
fumecheng-11485	141	5	ba	ba	PROPN
fumecheng-11485	141	6	a	a	DET
fumecheng-11485	141	7	b	b	PROPN
fumecheng-11485	141	8			PROPN
fumecheng-11485	141	9			PROPN
fumecheng-11485	141	10	(	(	PUNCT
fumecheng-11485	141	11	28	28	NUM
fumecheng-11485	141	12	)	)	PUNCT
fumecheng-11485	141	13	solving	solve	VERB
fumecheng-11485	141	14	for	for	ADP
fumecheng-11485	141	15	b	b	NOUN
fumecheng-11485	141	16	from	from	ADP
fumecheng-11485	141	17	eq	eq	PROPN
fumecheng-11485	141	18	.	.	PUNCT
fumecheng-11485	142	1	(	(	PUNCT
fumecheng-11485	142	2	28	28	NUM
fumecheng-11485	142	3	)	)	PUNCT
fumecheng-11485	142	4	results	result	NOUN
fumecheng-11485	142	5	in	in	ADP
fumecheng-11485	142	6	0.04943	0.04943	NUM
fumecheng-11485	142	7	=	=	SYM
fumecheng-11485	142	8	b	b	NOUN
fumecheng-11485	142	9	a	a	DET
fumecheng-11485	142	10	(	(	PUNCT
fumecheng-11485	142	11	29	29	NUM
fumecheng-11485	142	12	)	)	PUNCT
fumecheng-11485	142	13	as	as	ADP
fumecheng-11485	142	14	a	a	DET
fumecheng-11485	142	15	result	result	NOUN
fumecheng-11485	142	16	,	,	PUNCT
fumecheng-11485	142	17	we	we	PRON
fumecheng-11485	142	18	have	have	VERB
fumecheng-11485	142	19	2	2	NUM
fumecheng-11485	142	20	2	2	NUM
fumecheng-11485	142	21	2	2	NUM
fumecheng-11485	142	22	2(1	2(1	NUM
fumecheng-11485	142	23	)	)	PUNCT
fumecheng-11485	142	24	1	1	NUM
fumecheng-11485	142	25	0.7166	0.7166	NUM
fumecheng-11485	142	26	8	8	NUM
fumecheng-11485	142	27	1.3955	1.3955	NUM
fumecheng-11485	142	28	+	+	NUM
fumecheng-11485	142	29	=	=	SYM
fumecheng-11485	142	30	=	=	SYM
fumecheng-11485	143	1	=	=	PUNCT
fumecheng-11485	144	1	+	+	CCONJ
fumecheng-11485	144	2	a	a	DET
fumecheng-11485	144	3	a	a	DET
fumecheng-11485	144	4	a	a	DET
fumecheng-11485	144	5	a	a	DET
fumecheng-11485	144	6	a	a	DET
fumecheng-11485	144	7	b	b	NOUN
fumecheng-11485	144	8			PROPN
fumecheng-11485	144	9			PROPN
fumecheng-11485	144	10			PROPN
fumecheng-11485	144	11			PROPN
fumecheng-11485	144	12	(	(	PUNCT
fumecheng-11485	144	13	30	30	NUM
fumecheng-11485	144	14	)	)	PUNCT
fumecheng-11485	144	15	or	or	CCONJ
fumecheng-11485	144	16	1/20.8465=	1/20.8465=	NUM
fumecheng-11485	144	17	a	a	ADV
fumecheng-11485	144	18			PROPN
fumecheng-11485	144	19	(	(	PUNCT
fumecheng-11485	144	20	31	31	NUM
fumecheng-11485	144	21	)	)	PUNCT
fumecheng-11485	144	22	while	while	SCONJ
fumecheng-11485	144	23	the	the	DET
fumecheng-11485	144	24	exact	exact	ADJ
fumecheng-11485	144	25	frequency	frequency	NOUN
fumecheng-11485	144	26	when	when	SCONJ
fumecheng-11485	144	27	ε	ε	PROPN
fumecheng-11485	144	28	tends	tend	VERB
fumecheng-11485	144	29	to	to	PART
fumecheng-11485	144	30	infinity	infinity	NOUN
fumecheng-11485	144	31	is	be	AUX
fumecheng-11485	144	32	[	[	X
fumecheng-11485	144	33	40	40	NUM
fumecheng-11485	144	34	]	]	SYM
fumecheng-11485	144	35	:	:	PUNCT
fumecheng-11485	144	36	2	2	NUM
fumecheng-11485	144	37	2	2	NUM
fumecheng-11485	144	38	/2	/2	NOUN
fumecheng-11485	145	1	2	2	NUM
fumecheng-11485	145	2	0.5	0.5	NUM
fumecheng-11485	145	3	0	0	NUM
fumecheng-11485	145	4	=	=	SYM
fumecheng-11485	145	5	0.8472	0.8472	NUM
fumecheng-11485	145	6	2	2	NUM
fumecheng-11485	145	7	(	(	PUNCT
fumecheng-11485	145	8	1	1	NUM
fumecheng-11485	145	9	0.5sin	0.5sin	NUM
fumecheng-11485	145	10	)	)	PUNCT
fumecheng-11485	145	11	ex	ex	X
fumecheng-11485	145	12	a	a	DET
fumecheng-11485	145	13	a	a	DET
fumecheng-11485	145	14	t	t	NOUN
fumecheng-11485	145	15	dt	dt	X
fumecheng-11485	145	16			PROPN
fumecheng-11485	145	17			PROPN
fumecheng-11485	145	18			PROPN
fumecheng-11485	145	19			PROPN
fumecheng-11485	145	20			NOUN
fumecheng-11485	145	21	−	−	PROPN
fumecheng-11485	146	1	=	=	SYM
fumecheng-11485	146	2	=	=	PUNCT
fumecheng-11485	146	3	−	−	NOUN
fumecheng-11485	146	4	(	(	PUNCT
fumecheng-11485	146	5	32	32	NUM
fumecheng-11485	146	6	)	)	PUNCT
fumecheng-11485	146	7	26	26	NUM
fumecheng-11485	146	8	ji.h	ji.h	NOUN
fumecheng-11485	146	9	.	.	PUNCT
fumecheng-11485	147	1	he	he	PRON
fumecheng-11485	147	2	,	,	PUNCT
fumecheng-11485	147	3	c.h	c.h	PROPN
fumecheng-11485	147	4	.	.	PUNCT
fumecheng-11485	148	1	he	he	PRON
fumecheng-11485	148	2	,	,	PUNCT
fumecheng-11485	148	3	a.a	a.a	PROPN
fumecheng-11485	148	4	.	.	PROPN
fumecheng-11485	148	5	alsolami	alsolami	PROPN
fumecheng-11485	148	6	fig	fig	PROPN
fumecheng-11485	148	7	.	.	PUNCT
fumecheng-11485	149	1	1	1	NUM
fumecheng-11485	149	2	comparison	comparison	NOUN
fumecheng-11485	149	3	between	between	ADP
fumecheng-11485	149	4	the	the	DET
fumecheng-11485	149	5	exact	exact	ADJ
fumecheng-11485	149	6	solution	solution	NOUN
fumecheng-11485	149	7	(	(	PUNCT
fumecheng-11485	149	8	continuous	continuous	ADJ
fumecheng-11485	149	9	line	line	NOUN
fumecheng-11485	149	10	)	)	PUNCT
fumecheng-11485	149	11	and	and	CCONJ
fumecheng-11485	149	12	the	the	DET
fumecheng-11485	149	13	approximate	approximate	ADJ
fumecheng-11485	149	14	one	one	NUM
fumecheng-11485	149	15	(	(	PUNCT
fumecheng-11485	149	16	discontinuous	discontinuous	ADJ
fumecheng-11485	149	17	line	line	NOUN
fumecheng-11485	149	18	)	)	PUNCT
fumecheng-11485	149	19	for	for	ADP
fumecheng-11485	149	20	different	different	ADJ
fumecheng-11485	149	21	cases	case	NOUN
fumecheng-11485	149	22	:	:	PUNCT
fumecheng-11485	149	23	(	(	PUNCT
fumecheng-11485	149	24	a	a	X
fumecheng-11485	149	25	)	)	PUNCT
fumecheng-11485	149	26	a=1	a=1	PUNCT
fumecheng-11485	149	27	and	and	CCONJ
fumecheng-11485	149	28	ε	ε	PROPN
fumecheng-11485	149	29	=	=	PROPN
fumecheng-11485	149	30	1	1	NUM
fumecheng-11485	149	31	;	;	PUNCT
fumecheng-11485	149	32	(	(	PUNCT
fumecheng-11485	149	33	b	b	NOUN
fumecheng-11485	149	34	)	)	PUNCT
fumecheng-11485	149	35	a=1	a=1	PROPN
fumecheng-11485	149	36	and	and	CCONJ
fumecheng-11485	149	37	ε=100	ε=100	PROPN
fumecheng-11485	149	38	;	;	PUNCT
fumecheng-11485	149	39	(	(	PUNCT
fumecheng-11485	149	40	c	c	NOUN
fumecheng-11485	149	41	)	)	PUNCT
fumecheng-11485	149	42	a=1	a=1	PUNCT
fumecheng-11485	149	43	and	and	CCONJ
fumecheng-11485	149	44	ε=10000	ε=10000	PROPN
fumecheng-11485	149	45	.	.	PUNCT
fumecheng-11485	150	1	a	a	DET
fumecheng-11485	150	2	good	good	ADJ
fumecheng-11485	150	3	initial	initial	ADJ
fumecheng-11485	150	4	guess	guess	NOUN
fumecheng-11485	150	5	for	for	ADP
fumecheng-11485	150	6	approximating	approximate	VERB
fumecheng-11485	150	7	nonlinear	nonlinear	ADJ
fumecheng-11485	150	8	oscillators	oscillator	NOUN
fumecheng-11485	150	9	by	by	ADP
fumecheng-11485	150	10	the	the	DET
fumecheng-11485	150	11	homotopy	homotopy	NOUN
fumecheng-11485	150	12	perturbation	perturbation	NOUN
fumecheng-11485	150	13	method	method	NOUN
fumecheng-11485	150	14	27	27	NUM
fumecheng-11485	150	15	the	the	DET
fumecheng-11485	150	16	relative	relative	ADJ
fumecheng-11485	150	17	error	error	NOUN
fumecheng-11485	150	18	is	be	AUX
fumecheng-11485	150	19	0.08	0.08	NUM
fumecheng-11485	150	20	%	%	NOUN
fumecheng-11485	150	21	.	.	PUNCT
fumecheng-11485	151	1	fig.1	fig.1	PROPN
fumecheng-11485	151	2	gives	give	VERB
fumecheng-11485	151	3	the	the	DET
fumecheng-11485	151	4	comparison	comparison	NOUN
fumecheng-11485	151	5	between	between	ADP
fumecheng-11485	151	6	the	the	DET
fumecheng-11485	151	7	approximate	approximate	ADJ
fumecheng-11485	151	8	solution	solution	NOUN
fumecheng-11485	151	9	and	and	CCONJ
fumecheng-11485	151	10	the	the	DET
fumecheng-11485	151	11	exact	exact	ADJ
fumecheng-11485	151	12	one	one	NUM
fumecheng-11485	151	13	for	for	ADP
fumecheng-11485	151	14	different	different	ADJ
fumecheng-11485	151	15	cases	case	NOUN
fumecheng-11485	151	16	,	,	PUNCT
fumecheng-11485	151	17	showing	show	VERB
fumecheng-11485	151	18	an	an	DET
fumecheng-11485	151	19	extremely	extremely	ADV
fumecheng-11485	151	20	high	high	ADJ
fumecheng-11485	151	21	accuracy	accuracy	NOUN
fumecheng-11485	151	22	of	of	ADP
fumecheng-11485	151	23	the	the	DET
fumecheng-11485	151	24	approximate	approximate	ADJ
fumecheng-11485	151	25	solution	solution	NOUN
fumecheng-11485	151	26	from	from	ADP
fumecheng-11485	151	27	small	small	ADJ
fumecheng-11485	151	28	to	to	ADP
fumecheng-11485	151	29	large	large	ADJ
fumecheng-11485	151	30	ones	one	NOUN
fumecheng-11485	151	31	.	.	PUNCT
fumecheng-11485	152	1	5	5	X
fumecheng-11485	152	2	.	.	X
fumecheng-11485	152	3	conclusion	conclusion	NOUN
fumecheng-11485	152	4	we	we	PRON
fumecheng-11485	152	5	looked	look	VERB
fumecheng-11485	152	6	into	into	ADP
fumecheng-11485	152	7	the	the	DET
fumecheng-11485	152	8	effect	effect	NOUN
fumecheng-11485	152	9	of	of	ADP
fumecheng-11485	152	10	the	the	DET
fumecheng-11485	152	11	initial	initial	ADJ
fumecheng-11485	152	12	guess	guess	NOUN
fumecheng-11485	152	13	on	on	ADP
fumecheng-11485	152	14	the	the	DET
fumecheng-11485	152	15	solution	solution	NOUN
fumecheng-11485	152	16	accuracy	accuracy	NOUN
fumecheng-11485	152	17	.	.	PUNCT
fumecheng-11485	153	1	obviously	obviously	ADV
fumecheng-11485	153	2	,	,	PUNCT
fumecheng-11485	153	3	the	the	DET
fumecheng-11485	153	4	obtained	obtain	VERB
fumecheng-11485	153	5	solution	solution	NOUN
fumecheng-11485	153	6	has	have	VERB
fumecheng-11485	153	7	a	a	DET
fumecheng-11485	153	8	better	well	ADJ
fumecheng-11485	153	9	accuracy	accuracy	NOUN
fumecheng-11485	153	10	than	than	ADP
fumecheng-11485	153	11	that	that	PRON
fumecheng-11485	153	12	by	by	ADP
fumecheng-11485	153	13	the	the	DET
fumecheng-11485	153	14	classic	classic	ADJ
fumecheng-11485	153	15	homotopy	homotopy	NOUN
fumecheng-11485	153	16	perturbation	perturbation	NOUN
fumecheng-11485	154	1	[	[	X
fumecheng-11485	154	2	41,42	41,42	NOUN
fumecheng-11485	154	3	]	]	PUNCT
fumecheng-11485	154	4	,	,	PUNCT
fumecheng-11485	155	1	the	the	DET
fumecheng-11485	155	2	approximate	approximate	ADJ
fumecheng-11485	155	3	solutions	solution	NOUN
fumecheng-11485	155	4	obtained	obtain	VERB
fumecheng-11485	155	5	by	by	ADP
fumecheng-11485	155	6	other	other	ADJ
fumecheng-11485	155	7	analytical	analytical	ADJ
fumecheng-11485	155	8	methods	method	NOUN
fumecheng-11485	155	9	,	,	PUNCT
fumecheng-11485	155	10	especially	especially	ADV
fumecheng-11485	155	11	the	the	DET
fumecheng-11485	155	12	frequency	frequency	NOUN
fumecheng-11485	155	13	formulation	formulation	NOUN
fumecheng-11485	155	14	[	[	X
fumecheng-11485	155	15	43	43	NUM
fumecheng-11485	155	16	,	,	PUNCT
fumecheng-11485	155	17	44	44	NUM
fumecheng-11485	155	18	]	]	PUNCT
fumecheng-11485	155	19	,	,	PUNCT
fumecheng-11485	155	20	can	can	AUX
fumecheng-11485	155	21	also	also	ADV
fumecheng-11485	155	22	be	be	AUX
fumecheng-11485	155	23	used	use	VERB
fumecheng-11485	155	24	as	as	ADP
fumecheng-11485	155	25	the	the	DET
fumecheng-11485	155	26	initial	initial	ADJ
fumecheng-11485	155	27	guess	guess	NOUN
fumecheng-11485	155	28	,	,	PUNCT
fumecheng-11485	155	29	this	this	DET
fumecheng-11485	155	30	idea	idea	NOUN
fumecheng-11485	155	31	can	can	AUX
fumecheng-11485	155	32	lead	lead	VERB
fumecheng-11485	155	33	to	to	ADP
fumecheng-11485	155	34	a	a	DET
fumecheng-11485	155	35	new	new	ADJ
fumecheng-11485	155	36	modification	modification	NOUN
fumecheng-11485	155	37	of	of	ADP
fumecheng-11485	155	38	the	the	DET
fumecheng-11485	155	39	homotopy	homotopy	NOUN
fumecheng-11485	155	40	perturbation	perturbation	NOUN
fumecheng-11485	155	41	method	method	NOUN
fumecheng-11485	155	42	,	,	PUNCT
fumecheng-11485	155	43	and	and	CCONJ
fumecheng-11485	155	44	we	we	PRON
fumecheng-11485	155	45	will	will	AUX
fumecheng-11485	155	46	discuss	discuss	VERB
fumecheng-11485	155	47	it	it	PRON
fumecheng-11485	155	48	in	in	ADP
fumecheng-11485	155	49	a	a	DET
fumecheng-11485	155	50	forthcoming	forthcoming	ADJ
fumecheng-11485	155	51	article	article	NOUN
fumecheng-11485	155	52	.	.	PUNCT
fumecheng-11485	156	1	as	as	ADP
fumecheng-11485	156	2	a	a	DET
fumecheng-11485	156	3	conclusion	conclusion	NOUN
fumecheng-11485	156	4	,	,	PUNCT
fumecheng-11485	156	5	we	we	PRON
fumecheng-11485	156	6	give	give	VERB
fumecheng-11485	156	7	a	a	DET
fumecheng-11485	156	8	new	new	ADJ
fumecheng-11485	156	9	way	way	NOUN
fumecheng-11485	156	10	to	to	ADP
fumecheng-11485	156	11	construction	construction	NOUN
fumecheng-11485	156	12	of	of	ADP
fumecheng-11485	156	13	a	a	DET
fumecheng-11485	156	14	suitable	suitable	ADJ
fumecheng-11485	156	15	homotopy	homotopy	NOUN
fumecheng-11485	156	16	equation	equation	NOUN
fumecheng-11485	156	17	for	for	ADP
fumecheng-11485	156	18	accurate	accurate	ADJ
fumecheng-11485	156	19	estimate	estimate	NOUN
fumecheng-11485	156	20	the	the	DET
fumecheng-11485	156	21	periodic	periodic	ADJ
fumecheng-11485	156	22	solution	solution	NOUN
fumecheng-11485	156	23	of	of	ADP
fumecheng-11485	156	24	a	a	DET
fumecheng-11485	156	25	nonlinear	nonlinear	ADJ
fumecheng-11485	156	26	vibration	vibration	NOUN
fumecheng-11485	156	27	equation	equation	NOUN
fumecheng-11485	156	28	regardless	regardless	ADV
fumecheng-11485	156	29	of	of	ADP
fumecheng-11485	156	30	its	its	PRON
fumecheng-11485	156	31	nonlinearity	nonlinearity	NOUN
fumecheng-11485	156	32	strength	strength	NOUN
fumecheng-11485	156	33	.	.	PUNCT
fumecheng-11485	157	1	though	though	SCONJ
fumecheng-11485	157	2	we	we	PRON
fumecheng-11485	157	3	use	use	VERB
fumecheng-11485	157	4	the	the	DET
fumecheng-11485	157	5	method	method	NOUN
fumecheng-11485	157	6	to	to	PART
fumecheng-11485	157	7	solve	solve	VERB
fumecheng-11485	157	8	nonlinear	nonlinear	ADJ
fumecheng-11485	157	9	oscillators	oscillator	NOUN
fumecheng-11485	157	10	,	,	PUNCT
fumecheng-11485	157	11	it	it	PRON
fumecheng-11485	157	12	is	be	AUX
fumecheng-11485	157	13	also	also	ADV
fumecheng-11485	157	14	valid	valid	ADJ
fumecheng-11485	157	15	for	for	ADP
fumecheng-11485	157	16	other	other	ADJ
fumecheng-11485	157	17	nonlinear	nonlinear	ADJ
fumecheng-11485	157	18	problems	problem	NOUN
fumecheng-11485	157	19	.	.	PUNCT
fumecheng-11485	158	1	references	reference	NOUN
fumecheng-11485	158	2	1	1	NUM
fumecheng-11485	158	3	.	.	PUNCT
fumecheng-11485	159	1	ibrahim	ibrahim	PROPN
fumecheng-11485	159	2	,	,	PUNCT
fumecheng-11485	159	3	r.a	r.a	PROPN
fumecheng-11485	159	4	.	.	PROPN
fumecheng-11485	159	5	,	,	PUNCT
fumecheng-11485	159	6	2008	2008	NUM
fumecheng-11485	159	7	,	,	PUNCT
fumecheng-11485	159	8	recent	recent	ADJ
fumecheng-11485	159	9	advances	advance	NOUN
fumecheng-11485	159	10	in	in	ADP
fumecheng-11485	159	11	nonlinear	nonlinear	ADJ
fumecheng-11485	159	12	passive	passive	ADJ
fumecheng-11485	159	13	vibration	vibration	NOUN
fumecheng-11485	159	14	isolators	isolator	NOUN
fumecheng-11485	159	15	,	,	PUNCT
fumecheng-11485	159	16	journal	journal	NOUN
fumecheng-11485	159	17	of	of	ADP
fumecheng-11485	159	18	sound	sound	NOUN
fumecheng-11485	159	19	and	and	CCONJ
fumecheng-11485	159	20	vibration	vibration	NOUN
fumecheng-11485	159	21	,	,	PUNCT
fumecheng-11485	159	22	314(3	314(3	NUM
fumecheng-11485	159	23	-	-	SYM
fumecheng-11485	159	24	5	5	NUM
fumecheng-11485	159	25	)	)	PUNCT
fumecheng-11485	159	26	,	,	PUNCT
fumecheng-11485	159	27	pp	pp	PROPN
fumecheng-11485	159	28	.	.	PUNCT
fumecheng-11485	159	29	371	371	NUM
fumecheng-11485	159	30	-	-	SYM
fumecheng-11485	159	31	452	452	NUM
fumecheng-11485	159	32	.	.	NOUN
fumecheng-11485	159	33	2	2	NUM
fumecheng-11485	159	34	.	.	X
fumecheng-11485	159	35	ke	ke	PROPN
fumecheng-11485	159	36	,	,	PUNCT
fumecheng-11485	159	37	l.l	l.l	PROPN
fumecheng-11485	159	38	.	.	PROPN
fumecheng-11485	159	39	,	,	PUNCT
fumecheng-11485	159	40	yang	yang	PROPN
fumecheng-11485	159	41	,	,	PUNCT
fumecheng-11485	159	42	j.	j.	PROPN
fumecheng-11485	159	43	,	,	PUNCT
fumecheng-11485	159	44	kitipornchai	kitipornchai	PROPN
fumecheng-11485	159	45	,	,	PUNCT
fumecheng-11485	159	46	s.	s.	PROPN
fumecheng-11485	159	47	,	,	PUNCT
fumecheng-11485	159	48	2010	2010	NUM
fumecheng-11485	159	49	,	,	PUNCT
fumecheng-11485	159	50	nonlinear	nonlinear	ADJ
fumecheng-11485	159	51	free	free	ADJ
fumecheng-11485	159	52	vibration	vibration	NOUN
fumecheng-11485	159	53	of	of	ADP
fumecheng-11485	159	54	functionally	functionally	ADV
fumecheng-11485	159	55	graded	grade	VERB
fumecheng-11485	159	56	carbon	carbon	NOUN
fumecheng-11485	159	57	nanotube	nanotube	NOUN
fumecheng-11485	159	58	-	-	PUNCT
fumecheng-11485	159	59	reinforced	reinforce	VERB
fumecheng-11485	159	60	composite	composite	ADJ
fumecheng-11485	159	61	beams	beam	NOUN
fumecheng-11485	159	62	,	,	PUNCT
fumecheng-11485	159	63	composite	composite	ADJ
fumecheng-11485	159	64	structures	structure	NOUN
fumecheng-11485	159	65	,	,	PUNCT
fumecheng-11485	159	66	92(3	92(3	NUM
fumecheng-11485	159	67	)	)	PUNCT
fumecheng-11485	159	68	,	,	PUNCT
fumecheng-11485	159	69	pp	pp	ADJ
fumecheng-11485	159	70	.	.	PUNCT
fumecheng-11485	160	1	676	676	NUM
fumecheng-11485	160	2	-	-	NUM
fumecheng-11485	160	3	683	683	NUM
fumecheng-11485	160	4	.	.	PUNCT
fumecheng-11485	161	1	3	3	X
fumecheng-11485	161	2	.	.	X
fumecheng-11485	161	3	yang	yang	PROPN
fumecheng-11485	161	4	,	,	PUNCT
fumecheng-11485	161	5	q.	q.	PROPN
fumecheng-11485	161	6	,	,	PUNCT
fumecheng-11485	161	7	2023	2023	NUM
fumecheng-11485	161	8	,	,	PUNCT
fumecheng-11485	161	9	a	a	DET
fumecheng-11485	161	10	mathematical	mathematical	ADJ
fumecheng-11485	161	11	control	control	NOUN
fumecheng-11485	161	12	for	for	ADP
fumecheng-11485	161	13	the	the	DET
fumecheng-11485	161	14	pseudo	pseudo	NOUN
fumecheng-11485	161	15	-	-	ADJ
fumecheng-11485	161	16	pull	pull	NOUN
fumecheng-11485	161	17	-	-	PUNCT
fumecheng-11485	161	18	in	in	ADP
fumecheng-11485	161	19	stability	stability	NOUN
fumecheng-11485	161	20	arising	arise	VERB
fumecheng-11485	161	21	in	in	ADP
fumecheng-11485	161	22	a	a	DET
fumecheng-11485	161	23	micro	micro	ADJ
fumecheng-11485	161	24	-	-	ADJ
fumecheng-11485	161	25	electromechanical	electromechanical	ADJ
fumecheng-11485	161	26	system	system	NOUN
fumecheng-11485	161	27	,	,	PUNCT
fumecheng-11485	161	28	journal	journal	NOUN
fumecheng-11485	161	29	of	of	ADP
fumecheng-11485	161	30	low	low	ADJ
fumecheng-11485	161	31	frequency	frequency	NOUN
fumecheng-11485	161	32	noise	noise	NOUN
fumecheng-11485	161	33	,	,	PUNCT
fumecheng-11485	161	34	vibration	vibration	NOUN
fumecheng-11485	161	35	and	and	CCONJ
fumecheng-11485	161	36	active	active	ADJ
fumecheng-11485	161	37	control	control	NOUN
fumecheng-11485	161	38	,	,	PUNCT
fumecheng-11485	161	39	doi	doi	NOUN
fumecheng-11485	161	40	:	:	PUNCT
fumecheng-11485	161	41	10.1177/14613484221133603	10.1177/14613484221133603	NUM
fumecheng-11485	161	42	4	4	NUM
fumecheng-11485	161	43	.	.	PUNCT
fumecheng-11485	162	1	feng	feng	PROPN
fumecheng-11485	162	2	,	,	PUNCT
fumecheng-11485	162	3	g.q	g.q	PROPN
fumecheng-11485	162	4	.	.	PROPN
fumecheng-11485	162	5	,	,	PUNCT
fumecheng-11485	162	6	niu	niu	PROPN
fumecheng-11485	162	7	,	,	PUNCT
fumecheng-11485	162	8	j.y	j.y	PROPN
fumecheng-11485	162	9	.	.	PROPN
fumecheng-11485	162	10	,	,	PUNCT
fumecheng-11485	162	11	2023	2023	NUM
fumecheng-11485	162	12	,	,	PUNCT
fumecheng-11485	162	13	the	the	DET
fumecheng-11485	162	14	analysis	analysis	NOUN
fumecheng-11485	162	15	for	for	ADP
fumecheng-11485	162	16	the	the	DET
fumecheng-11485	162	17	dynamic	dynamic	ADJ
fumecheng-11485	162	18	pull	pull	NOUN
fumecheng-11485	162	19	-	-	PUNCT
fumecheng-11485	162	20	in	in	NOUN
fumecheng-11485	162	21	of	of	ADP
fumecheng-11485	162	22	a	a	DET
fumecheng-11485	162	23	micro	micro	ADJ
fumecheng-11485	162	24	-	-	ADJ
fumecheng-11485	162	25	electromechanical	electromechanical	ADJ
fumecheng-11485	162	26	system	system	NOUN
fumecheng-11485	162	27	,	,	PUNCT
fumecheng-11485	162	28	journal	journal	NOUN
fumecheng-11485	162	29	of	of	ADP
fumecheng-11485	162	30	low	low	ADJ
fumecheng-11485	162	31	frequency	frequency	NOUN
fumecheng-11485	162	32	noise	noise	NOUN
fumecheng-11485	162	33	,	,	PUNCT
fumecheng-11485	162	34	vibration	vibration	NOUN
fumecheng-11485	162	35	and	and	CCONJ
fumecheng-11485	162	36	active	active	ADJ
fumecheng-11485	162	37	control	control	NOUN
fumecheng-11485	162	38	,	,	PUNCT
fumecheng-11485	162	39	doi	doi	NOUN
fumecheng-11485	162	40	:	:	PUNCT
fumecheng-11485	162	41	10.1177/14613484221145588	10.1177/14613484221145588	NUM
fumecheng-11485	162	42	5	5	NUM
fumecheng-11485	162	43	.	.	PUNCT
fumecheng-11485	163	1	he	he	PRON
fumecheng-11485	163	2	,	,	PUNCT
fumecheng-11485	163	3	j.h	j.h	PROPN
fumecheng-11485	163	4	.	.	PROPN
fumecheng-11485	163	5	,	,	PUNCT
fumecheng-11485	163	6	1999	1999	NUM
fumecheng-11485	163	7	,	,	PUNCT
fumecheng-11485	163	8	homotopy	homotopy	VERB
fumecheng-11485	163	9	perturbation	perturbation	NOUN
fumecheng-11485	163	10	technique	technique	NOUN
fumecheng-11485	163	11	,	,	PUNCT
fumecheng-11485	163	12	computer	computer	NOUN
fumecheng-11485	163	13	methods	method	NOUN
fumecheng-11485	163	14	in	in	ADP
fumecheng-11485	163	15	applied	applied	ADJ
fumecheng-11485	163	16	mechanics	mechanic	NOUN
fumecheng-11485	163	17	and	and	CCONJ
fumecheng-11485	163	18	engineering	engineering	NOUN
fumecheng-11485	163	19	,	,	PUNCT
fumecheng-11485	163	20	178(3	178(3	NUM
fumecheng-11485	163	21	-	-	SYM
fumecheng-11485	163	22	4	4	NUM
fumecheng-11485	163	23	)	)	PUNCT
fumecheng-11485	163	24	,	,	PUNCT
fumecheng-11485	163	25	pp	pp	ADP
fumecheng-11485	163	26	.	.	PUNCT
fumecheng-11485	164	1	257	257	NUM
fumecheng-11485	164	2	-	-	SYM
fumecheng-11485	164	3	262	262	NUM
fumecheng-11485	164	4	.	.	NOUN
fumecheng-11485	165	1	6	6	NUM
fumecheng-11485	165	2	.	.	X
fumecheng-11485	166	1	nayfeh	nayfeh	PROPN
fumecheng-11485	166	2	,	,	PUNCT
fumecheng-11485	166	3	a.h	a.h	PROPN
fumecheng-11485	166	4	.	.	PROPN
fumecheng-11485	166	5	,	,	PUNCT
fumecheng-11485	166	6	1973	1973	NUM
fumecheng-11485	166	7	,	,	PUNCT
fumecheng-11485	166	8	perturbation	perturbation	NOUN
fumecheng-11485	166	9	methods	method	NOUN
fumecheng-11485	166	10	,	,	PUNCT
fumecheng-11485	166	11	new	new	PROPN
fumecheng-11485	166	12	york	york	PROPN
fumecheng-11485	166	13	,	,	PUNCT
fumecheng-11485	166	14	wiley	wiley	PROPN
fumecheng-11485	166	15	&	&	CCONJ
fumecheng-11485	166	16	sons	son	NOUN
fumecheng-11485	166	17	.	.	PUNCT
fumecheng-11485	167	1	7	7	X
fumecheng-11485	167	2	.	.	X
fumecheng-11485	167	3	wang	wang	PROPN
fumecheng-11485	167	4	,	,	PUNCT
fumecheng-11485	167	5	s.q	s.q	PROPN
fumecheng-11485	167	6	.	.	PROPN
fumecheng-11485	167	7	,	,	PUNCT
fumecheng-11485	167	8	he	he	PRON
fumecheng-11485	167	9	,	,	PUNCT
fumecheng-11485	167	10	j.h	j.h	PROPN
fumecheng-11485	167	11	.	.	PROPN
fumecheng-11485	167	12	,	,	PUNCT
fumecheng-11485	167	13	2007	2007	NUM
fumecheng-11485	167	14	,	,	PUNCT
fumecheng-11485	167	15	variational	variational	ADJ
fumecheng-11485	167	16	iteration	iteration	NOUN
fumecheng-11485	167	17	method	method	NOUN
fumecheng-11485	167	18	for	for	ADP
fumecheng-11485	167	19	solving	solve	VERB
fumecheng-11485	167	20	integro	integro	ADJ
fumecheng-11485	167	21	-	-	PUNCT
fumecheng-11485	167	22	differential	differential	NOUN
fumecheng-11485	167	23	equations	equation	NOUN
fumecheng-11485	167	24	,	,	PUNCT
fumecheng-11485	167	25	physics	physics	NOUN
fumecheng-11485	167	26	letters	letter	NOUN
fumecheng-11485	167	27	a	a	DET
fumecheng-11485	167	28	,	,	PUNCT
fumecheng-11485	167	29	367(3	367(3	NUM
fumecheng-11485	167	30	)	)	PUNCT
fumecheng-11485	167	31	,	,	PUNCT
fumecheng-11485	167	32	pp	pp	ADP
fumecheng-11485	167	33	.	.	PUNCT
fumecheng-11485	168	1	188	188	NUM
fumecheng-11485	168	2	-	-	SYM
fumecheng-11485	168	3	191	191	NUM
fumecheng-11485	168	4	.	.	NOUN
fumecheng-11485	169	1	8	8	NUM
fumecheng-11485	169	2	.	.	X
fumecheng-11485	170	1	odibat	odibat	PROPN
fumecheng-11485	170	2	,	,	PUNCT
fumecheng-11485	170	3	z.m	z.m	PROPN
fumecheng-11485	170	4	.	.	PROPN
fumecheng-11485	170	5	,	,	PUNCT
fumecheng-11485	170	6	momani	momani	PROPN
fumecheng-11485	170	7	,	,	PUNCT
fumecheng-11485	170	8	s.	s.	PROPN
fumecheng-11485	170	9	,	,	PUNCT
fumecheng-11485	170	10	2006	2006	NUM
fumecheng-11485	170	11	,	,	PUNCT
fumecheng-11485	170	12	application	application	NOUN
fumecheng-11485	170	13	of	of	ADP
fumecheng-11485	170	14	variational	variational	ADJ
fumecheng-11485	170	15	iteration	iteration	NOUN
fumecheng-11485	170	16	method	method	NOUN
fumecheng-11485	170	17	to	to	PART
fumecheng-11485	170	18	nonlinear	nonlinear	ADJ
fumecheng-11485	170	19	differential	differential	ADJ
fumecheng-11485	170	20	equations	equation	NOUN
fumecheng-11485	170	21	of	of	ADP
fumecheng-11485	170	22	fractional	fractional	ADJ
fumecheng-11485	170	23	order	order	NOUN
fumecheng-11485	170	24	,	,	PUNCT
fumecheng-11485	170	25	international	international	ADJ
fumecheng-11485	170	26	journal	journal	NOUN
fumecheng-11485	170	27	of	of	ADP
fumecheng-11485	170	28	nonlinear	nonlinear	PROPN
fumecheng-11485	170	29	sciences	sciences	PROPN
fumecheng-11485	170	30	and	and	CCONJ
fumecheng-11485	170	31	numerical	numerical	PROPN
fumecheng-11485	170	32	simulation	simulation	PROPN
fumecheng-11485	170	33	,	,	PUNCT
fumecheng-11485	170	34	7(1	7(1	NUM
fumecheng-11485	170	35	)	)	PUNCT
fumecheng-11485	170	36	,	,	PUNCT
fumecheng-11485	170	37	pp	pp	PROPN
fumecheng-11485	170	38	.	.	PUNCT
fumecheng-11485	171	1	27	27	NUM
fumecheng-11485	171	2	-	-	SYM
fumecheng-11485	171	3	34	34	NUM
fumecheng-11485	171	4	.	.	NOUN
fumecheng-11485	172	1	9	9	NUM
fumecheng-11485	172	2	.	.	X
fumecheng-11485	172	3	deng	deng	PROPN
fumecheng-11485	172	4	,	,	PUNCT
fumecheng-11485	172	5	s.x	s.x	PROPN
fumecheng-11485	172	6	.	.	PROPN
fumecheng-11485	172	7	,	,	PUNCT
fumecheng-11485	172	8	ge	ge	PROPN
fumecheng-11485	172	9	,	,	PUNCT
fumecheng-11485	172	10	x.x	x.x	PROPN
fumecheng-11485	172	11	.	.	PROPN
fumecheng-11485	172	12	,	,	PUNCT
fumecheng-11485	172	13	2022	2022	NUM
fumecheng-11485	172	14	,	,	PUNCT
fumecheng-11485	172	15	the	the	DET
fumecheng-11485	172	16	variational	variational	ADJ
fumecheng-11485	172	17	iteration	iteration	NOUN
fumecheng-11485	172	18	method	method	NOUN
fumecheng-11485	172	19	for	for	ADP
fumecheng-11485	172	20	whitham	whitham	NOUN
fumecheng-11485	172	21	-	-	PUNCT
fumecheng-11485	172	22	broer	broer	NOUN
fumecheng-11485	172	23	-	-	PUNCT
fumecheng-11485	172	24	kaup	kaup	NOUN
fumecheng-11485	172	25	system	system	NOUN
fumecheng-11485	172	26	with	with	ADP
fumecheng-11485	172	27	local	local	ADJ
fumecheng-11485	172	28	fractional	fractional	ADJ
fumecheng-11485	172	29	derivatives	derivative	NOUN
fumecheng-11485	172	30	,	,	PUNCT
fumecheng-11485	172	31	thermal	thermal	ADJ
fumecheng-11485	172	32	science	science	NOUN
fumecheng-11485	172	33	,	,	PUNCT
fumecheng-11485	172	34	26(3	26(3	NUM
fumecheng-11485	172	35	)	)	PUNCT
fumecheng-11485	172	36	,	,	PUNCT
fumecheng-11485	172	37	pp	pp	PROPN
fumecheng-11485	172	38	.	.	PUNCT
fumecheng-11485	172	39	2419	2419	NUM
fumecheng-11485	172	40	-	-	SYM
fumecheng-11485	172	41	2426	2426	NUM
fumecheng-11485	172	42	.	.	PUNCT
fumecheng-11485	173	1	10	10	NUM
fumecheng-11485	173	2	.	.	X
fumecheng-11485	174	1	wang	wang	PROPN
fumecheng-11485	174	2	,	,	PUNCT
fumecheng-11485	174	3	s.q	s.q	PROPN
fumecheng-11485	174	4	.	.	PROPN
fumecheng-11485	174	5	,	,	PUNCT
fumecheng-11485	174	6	2009	2009	NUM
fumecheng-11485	174	7	,	,	PUNCT
fumecheng-11485	174	8	a	a	DET
fumecheng-11485	174	9	variational	variational	ADJ
fumecheng-11485	174	10	approach	approach	NOUN
fumecheng-11485	174	11	to	to	PART
fumecheng-11485	174	12	nonlinear	nonlinear	VERB
fumecheng-11485	174	13	two	two	NUM
fumecheng-11485	174	14	-	-	PUNCT
fumecheng-11485	174	15	point	point	NOUN
fumecheng-11485	174	16	boundary	boundary	ADJ
fumecheng-11485	174	17	value	value	NOUN
fumecheng-11485	174	18	problems	problem	NOUN
fumecheng-11485	174	19	,	,	PUNCT
fumecheng-11485	174	20	computers	computer	NOUN
fumecheng-11485	174	21	&	&	CCONJ
fumecheng-11485	174	22	mathematics	mathematics	PROPN
fumecheng-11485	174	23	with	with	ADP
fumecheng-11485	174	24	applications	application	NOUN
fumecheng-11485	174	25	,	,	PUNCT
fumecheng-11485	174	26	58(11	58(11	NUM
fumecheng-11485	174	27	)	)	PUNCT
fumecheng-11485	174	28	,	,	PUNCT
fumecheng-11485	174	29	pp	pp	ADJ
fumecheng-11485	174	30	.	.	PUNCT
fumecheng-11485	174	31	2452	2452	NUM
fumecheng-11485	174	32	-	-	SYM
fumecheng-11485	174	33	2455	2455	NUM
fumecheng-11485	174	34	.	.	PUNCT
fumecheng-11485	175	1	11	11	NUM
fumecheng-11485	175	2	.	.	PUNCT
fumecheng-11485	176	1	shen	shen	PROPN
fumecheng-11485	176	2	,	,	PUNCT
fumecheng-11485	176	3	y.y	y.y	PROPN
fumecheng-11485	176	4	.	.	PROPN
fumecheng-11485	176	5	,	,	PUNCT
fumecheng-11485	176	6	huang	huang	PROPN
fumecheng-11485	176	7	,	,	PUNCT
fumecheng-11485	176	8	x.x	x.x	PROPN
fumecheng-11485	176	9	.	.	PROPN
fumecheng-11485	176	10	,	,	PUNCT
fumecheng-11485	176	11	kwak	kwak	PROPN
fumecheng-11485	176	12	,	,	PUNCT
fumecheng-11485	176	13	k.	k.	PROPN
fumecheng-11485	176	14	,	,	PUNCT
fumecheng-11485	176	15	et	et	PROPN
fumecheng-11485	176	16	al	al	PROPN
fumecheng-11485	176	17	.	.	PROPN
fumecheng-11485	176	18	,	,	PUNCT
fumecheng-11485	176	19	2016	2016	NUM
fumecheng-11485	176	20	,	,	PUNCT
fumecheng-11485	176	21	subcarrier	subcarrier	NOUN
fumecheng-11485	176	22	-	-	PUNCT
fumecheng-11485	176	23	pairing	pairing	NOUN
fumecheng-11485	176	24	-	-	PUNCT
fumecheng-11485	176	25	based	base	VERB
fumecheng-11485	176	26	resource	resource	NOUN
fumecheng-11485	176	27	optimization	optimization	NOUN
fumecheng-11485	176	28	for	for	ADP
fumecheng-11485	176	29	ofdm	ofdm	PROPN
fumecheng-11485	176	30	wireless	wireless	ADJ
fumecheng-11485	176	31	powered	power	VERB
fumecheng-11485	176	32	relay	relay	NOUN
fumecheng-11485	176	33	transmissions	transmission	NOUN
fumecheng-11485	176	34	with	with	ADP
fumecheng-11485	176	35	time	time	NOUN
fumecheng-11485	176	36	switching	switch	VERB
fumecheng-11485	176	37	scheme	scheme	NOUN
fumecheng-11485	176	38	,	,	PUNCT
fumecheng-11485	176	39	ieee	ieee	NOUN
fumecheng-11485	176	40	transactions	transaction	NOUN
fumecheng-11485	176	41	on	on	ADP
fumecheng-11485	176	42	signal	signal	ADJ
fumecheng-11485	176	43	processing	processing	NOUN
fumecheng-11485	176	44	,	,	PUNCT
fumecheng-11485	176	45	65(5	65(5	NUM
fumecheng-11485	176	46	)	)	PUNCT
fumecheng-11485	176	47	,	,	PUNCT
fumecheng-11485	176	48	pp	pp	PROPN
fumecheng-11485	176	49	.	.	PUNCT
fumecheng-11485	177	1	1130	1130	NUM
fumecheng-11485	177	2	-	-	SYM
fumecheng-11485	177	3	1145	1145	NUM
fumecheng-11485	177	4	.	.	PUNCT
fumecheng-11485	178	1	12	12	NUM
fumecheng-11485	178	2	.	.	PUNCT
fumecheng-11485	179	1	khan	khan	PROPN
fumecheng-11485	179	2	,	,	PUNCT
fumecheng-11485	179	3	y.	y.	PROPN
fumecheng-11485	179	4	,	,	PUNCT
fumecheng-11485	179	5	akbarzade	akbarzade	PROPN
fumecheng-11485	179	6	,	,	PUNCT
fumecheng-11485	179	7	m.	m.	NOUN
fumecheng-11485	179	8	,	,	PUNCT
fumecheng-11485	179	9	kargar	kargar	NOUN
fumecheng-11485	179	10	,	,	PUNCT
fumecheng-11485	179	11	a.	a.	NOUN
fumecheng-11485	179	12	,	,	PUNCT
fumecheng-11485	179	13	2012	2012	NUM
fumecheng-11485	179	14	,	,	PUNCT
fumecheng-11485	179	15	coupling	coupling	NOUN
fumecheng-11485	179	16	of	of	ADP
fumecheng-11485	179	17	homotopy	homotopy	NOUN
fumecheng-11485	179	18	and	and	CCONJ
fumecheng-11485	179	19	the	the	DET
fumecheng-11485	179	20	variational	variational	ADJ
fumecheng-11485	179	21	approach	approach	NOUN
fumecheng-11485	179	22	for	for	ADP
fumecheng-11485	179	23	a	a	DET
fumecheng-11485	179	24	conservative	conservative	ADJ
fumecheng-11485	179	25	oscillator	oscillator	NOUN
fumecheng-11485	179	26	with	with	ADP
fumecheng-11485	179	27	strong	strong	ADJ
fumecheng-11485	179	28	odd	odd	ADJ
fumecheng-11485	179	29	-	-	PUNCT
fumecheng-11485	179	30	nonlinearity	nonlinearity	NOUN
fumecheng-11485	179	31	,	,	PUNCT
fumecheng-11485	179	32	scientia	scientia	PROPN
fumecheng-11485	179	33	iranica	iranica	PROPN
fumecheng-11485	179	34	,	,	PUNCT
fumecheng-11485	179	35	19(3	19(3	NUM
fumecheng-11485	179	36	)	)	PUNCT
fumecheng-11485	179	37	,	,	PUNCT
fumecheng-11485	179	38	pp	pp	ADP
fumecheng-11485	179	39	.	.	PUNCT
fumecheng-11485	180	1	417	417	NUM
fumecheng-11485	180	2	-	-	SYM
fumecheng-11485	180	3	422	422	NUM
fumecheng-11485	180	4	.	.	PUNCT
fumecheng-11485	181	1	13	13	NUM
fumecheng-11485	181	2	.	.	PUNCT
fumecheng-11485	181	3	biazar	biazar	PROPN
fumecheng-11485	181	4	,	,	PUNCT
fumecheng-11485	181	5	j.	j.	PROPN
fumecheng-11485	181	6	,	,	PUNCT
fumecheng-11485	181	7	ghanbari	ghanbari	PROPN
fumecheng-11485	181	8	,	,	PUNCT
fumecheng-11485	181	9	b.	b.	PROPN
fumecheng-11485	181	10	,	,	PUNCT
fumecheng-11485	181	11	porshokouhi	porshokouhi	PROPN
fumecheng-11485	181	12	,	,	PUNCT
fumecheng-11485	181	13	m.g	m.g	PROPN
fumecheng-11485	181	14	.	.	PROPN
fumecheng-11485	181	15	,	,	PUNCT
fumecheng-11485	181	16	porshokouhi	porshokouhi	PROPN
fumecheng-11485	181	17	,	,	PUNCT
fumecheng-11485	181	18	m.g	m.g	PROPN
fumecheng-11485	181	19	.	.	PROPN
fumecheng-11485	181	20	,	,	PUNCT
fumecheng-11485	181	21	2011	2011	NUM
fumecheng-11485	181	22	,	,	PUNCT
fumecheng-11485	181	23	he	he	PRON
fumecheng-11485	181	24	's	's	PART
fumecheng-11485	181	25	homotopy	homotopy	NOUN
fumecheng-11485	181	26	perturbation	perturbation	NOUN
fumecheng-11485	181	27	method	method	NOUN
fumecheng-11485	181	28	:	:	PUNCT
fumecheng-11485	181	29	a	a	DET
fumecheng-11485	181	30	strongly	strongly	ADV
fumecheng-11485	181	31	promising	promising	ADJ
fumecheng-11485	181	32	method	method	NOUN
fumecheng-11485	181	33	for	for	ADP
fumecheng-11485	181	34	solving	solve	VERB
fumecheng-11485	181	35	non	non	ADJ
fumecheng-11485	181	36	-	-	ADJ
fumecheng-11485	181	37	linear	linear	ADJ
fumecheng-11485	181	38	systems	system	NOUN
fumecheng-11485	181	39	of	of	ADP
fumecheng-11485	181	40	the	the	DET
fumecheng-11485	181	41	mixed	mixed	ADJ
fumecheng-11485	181	42	volterra	volterra	NOUN
fumecheng-11485	181	43	-	-	PUNCT
fumecheng-11485	181	44	fredholm	fredholm	NOUN
fumecheng-11485	181	45	integral	integral	ADJ
fumecheng-11485	181	46	equations	equation	NOUN
fumecheng-11485	181	47	,	,	PUNCT
fumecheng-11485	181	48	computers	computer	NOUN
fumecheng-11485	181	49	&	&	CCONJ
fumecheng-11485	181	50	mathematics	mathematics	PROPN
fumecheng-11485	181	51	with	with	ADP
fumecheng-11485	181	52	applications	application	NOUN
fumecheng-11485	181	53	,	,	PUNCT
fumecheng-11485	181	54	61(4	61(4	NUM
fumecheng-11485	181	55	)	)	PUNCT
fumecheng-11485	181	56	,	,	PUNCT
fumecheng-11485	181	57	pp	pp	ADJ
fumecheng-11485	181	58	.	.	PUNCT
fumecheng-11485	182	1	1016	1016	NUM
fumecheng-11485	182	2	-	-	SYM
fumecheng-11485	182	3	1023	1023	NUM
fumecheng-11485	182	4	.	.	PUNCT
fumecheng-11485	183	1	14	14	NUM
fumecheng-11485	183	2	.	.	X
fumecheng-11485	184	1	saranya	saranya	PROPN
fumecheng-11485	184	2	,	,	PUNCT
fumecheng-11485	184	3	k.	k.	PROPN
fumecheng-11485	184	4	,	,	PUNCT
fumecheng-11485	184	5	mohan	mohan	PROPN
fumecheng-11485	184	6	,	,	PUNCT
fumecheng-11485	184	7	v.	v.	PROPN
fumecheng-11485	184	8	,	,	PUNCT
fumecheng-11485	184	9	kizek	kizek	PROPN
fumecheng-11485	184	10	,	,	PUNCT
fumecheng-11485	184	11	r.	r.	PROPN
fumecheng-11485	184	12	,	,	PUNCT
fumecheng-11485	184	13	fernandez	fernandez	PROPN
fumecheng-11485	184	14	,	,	PUNCT
fumecheng-11485	184	15	c.	c.	PROPN
fumecheng-11485	184	16	,	,	PUNCT
fumecheng-11485	184	17	rajendran	rajendran	PROPN
fumecheng-11485	184	18	,	,	PUNCT
fumecheng-11485	184	19	l.	l.	PROPN
fumecheng-11485	184	20	,	,	PUNCT
fumecheng-11485	184	21	2018	2018	NUM
fumecheng-11485	184	22	,	,	PUNCT
fumecheng-11485	184	23	unprecedented	unprecedented	ADJ
fumecheng-11485	184	24	homotopy	homotopy	NOUN
fumecheng-11485	184	25	perturbation	perturbation	NOUN
fumecheng-11485	184	26	method	method	NOUN
fumecheng-11485	184	27	for	for	ADP
fumecheng-11485	184	28	solving	solve	VERB
fumecheng-11485	184	29	nonlinear	nonlinear	ADJ
fumecheng-11485	184	30	equations	equation	NOUN
fumecheng-11485	184	31	in	in	ADP
fumecheng-11485	184	32	the	the	DET
fumecheng-11485	184	33	enzymatic	enzymatic	ADJ
fumecheng-11485	184	34	reaction	reaction	NOUN
fumecheng-11485	184	35	of	of	ADP
fumecheng-11485	184	36	glucose	glucose	NOUN
fumecheng-11485	184	37	in	in	ADP
fumecheng-11485	184	38	a	a	DET
fumecheng-11485	184	39	spherical	spherical	ADJ
fumecheng-11485	184	40	matrix	matrix	NOUN
fumecheng-11485	184	41	,	,	PUNCT
fumecheng-11485	184	42	bioprocess	bioprocess	NOUN
fumecheng-11485	184	43	and	and	CCONJ
fumecheng-11485	184	44	biosystems	biosystems	PROPN
fumecheng-11485	184	45	engineering	engineering	PROPN
fumecheng-11485	184	46	,	,	PUNCT
fumecheng-11485	184	47	41(2	41(2	NUM
fumecheng-11485	184	48	)	)	PUNCT
fumecheng-11485	184	49	,	,	PUNCT
fumecheng-11485	184	50	pp	pp	ADJ
fumecheng-11485	184	51	.	.	PUNCT
fumecheng-11485	185	1	281	281	NUM
fumecheng-11485	185	2	-	-	SYM
fumecheng-11485	185	3	294	294	NUM
fumecheng-11485	185	4	.	.	PUNCT
fumecheng-11485	186	1	28	28	NUM
fumecheng-11485	186	2	ji.h	ji.h	NOUN
fumecheng-11485	186	3	.	.	PUNCT
fumecheng-11485	187	1	he	he	PRON
fumecheng-11485	187	2	,	,	PUNCT
fumecheng-11485	187	3	c.h	c.h	PROPN
fumecheng-11485	187	4	.	.	PUNCT
fumecheng-11485	188	1	he	he	PRON
fumecheng-11485	188	2	,	,	PUNCT
fumecheng-11485	188	3	a.a	a.a	PROPN
fumecheng-11485	188	4	.	.	PROPN
fumecheng-11485	188	5	alsolami	alsolami	PROPN
fumecheng-11485	188	6	15	15	NUM
fumecheng-11485	188	7	.	.	PUNCT
fumecheng-11485	188	8	anjum	anjum	PROPN
fumecheng-11485	188	9	,	,	PUNCT
fumecheng-11485	188	10	n.	n.	PROPN
fumecheng-11485	188	11	,	,	PUNCT
fumecheng-11485	188	12	he	he	PRON
fumecheng-11485	188	13	,	,	PUNCT
fumecheng-11485	188	14	j.h	j.h	PROPN
fumecheng-11485	188	15	.	.	PROPN
fumecheng-11485	188	16	,	,	PUNCT
fumecheng-11485	188	17	ain	ain	PROPN
fumecheng-11485	188	18	,	,	PUNCT
fumecheng-11485	188	19	q.	q.	PROPN
fumecheng-11485	188	20	t.	t.	PROPN
fumecheng-11485	188	21	,	,	PUNCT
fumecheng-11485	188	22	tian	tian	PROPN
fumecheng-11485	188	23	,	,	PUNCT
fumecheng-11485	188	24	d.	d.	PROPN
fumecheng-11485	188	25	,	,	PUNCT
fumecheng-11485	188	26	2021	2021	NUM
fumecheng-11485	188	27	,	,	PUNCT
fumecheng-11485	188	28	li	li	PROPN
fumecheng-11485	188	29	-	-	PROPN
fumecheng-11485	188	30	he	he	PRON
fumecheng-11485	188	31	’s	’	VERB
fumecheng-11485	188	32	modified	modify	VERB
fumecheng-11485	188	33	homotopy	homotopy	NOUN
fumecheng-11485	188	34	perturbation	perturbation	NOUN
fumecheng-11485	188	35	method	method	NOUN
fumecheng-11485	188	36	for	for	ADP
fumecheng-11485	188	37	doubly	doubly	ADV
fumecheng-11485	188	38	-	-	PUNCT
fumecheng-11485	188	39	clamped	clamp	VERB
fumecheng-11485	188	40	electrically	electrically	ADV
fumecheng-11485	188	41	actuated	actuate	VERB
fumecheng-11485	188	42	microbeams	microbeam	NOUN
fumecheng-11485	188	43	-	-	PUNCT
fumecheng-11485	188	44	based	base	VERB
fumecheng-11485	188	45	microelectromechanical	microelectromechanical	ADJ
fumecheng-11485	188	46	system	system	NOUN
fumecheng-11485	188	47	,	,	PUNCT
fumecheng-11485	188	48	facta	facta	PROPN
fumecheng-11485	188	49	universitatis	universitatis	PROPN
fumecheng-11485	188	50	series	series	PROPN
fumecheng-11485	188	51	mechanical	mechanical	ADJ
fumecheng-11485	188	52	engineering	engineering	PROPN
fumecheng-11485	188	53	,	,	PUNCT
fumecheng-11485	188	54	19(4	19(4	PROPN
fumecheng-11485	188	55	)	)	PUNCT
fumecheng-11485	188	56	,	,	PUNCT
fumecheng-11485	188	57	pp	pp	PROPN
fumecheng-11485	188	58	.	.	PUNCT
fumecheng-11485	189	1	601	601	NUM
fumecheng-11485	189	2	-	-	NOUN
fumecheng-11485	189	3	612	612	NUM
fumecheng-11485	189	4	.	.	PUNCT
fumecheng-11485	190	1	16	16	NUM
fumecheng-11485	190	2	.	.	PUNCT
fumecheng-11485	191	1	ji	ji	PROPN
fumecheng-11485	191	2	,	,	PUNCT
fumecheng-11485	191	3	q.p	q.p	PROPN
fumecheng-11485	191	4	.	.	PROPN
fumecheng-11485	191	5	,	,	PUNCT
fumecheng-11485	191	6	wang	wang	PROPN
fumecheng-11485	191	7	,	,	PUNCT
fumecheng-11485	191	8	j.	j.	PROPN
fumecheng-11485	191	9	,	,	PUNCT
fumecheng-11485	191	10	lu	lu	PROPN
fumecheng-11485	191	11	,	,	PUNCT
fumecheng-11485	191	12	l.x	l.x	PROPN
fumecheng-11485	191	13	.	.	PROPN
fumecheng-11485	191	14	,	,	PUNCT
fumecheng-11485	191	15	ge	ge	PROPN
fumecheng-11485	191	16	,	,	PUNCT
fumecheng-11485	191	17	c.f	c.f	PROPN
fumecheng-11485	191	18	.	.	PROPN
fumecheng-11485	191	19	,	,	PUNCT
fumecheng-11485	191	20	2021	2021	NUM
fumecheng-11485	191	21	,	,	PUNCT
fumecheng-11485	191	22	li	li	PROPN
fumecheng-11485	191	23	-	-	PROPN
fumecheng-11485	191	24	he	he	PRON
fumecheng-11485	191	25	's	's	PART
fumecheng-11485	191	26	modified	modify	VERB
fumecheng-11485	191	27	homotopy	homotopy	NOUN
fumecheng-11485	191	28	perturbation	perturbation	NOUN
fumecheng-11485	191	29	method	method	NOUN
fumecheng-11485	191	30	coupled	couple	VERB
fumecheng-11485	191	31	with	with	ADP
fumecheng-11485	191	32	the	the	DET
fumecheng-11485	191	33	energy	energy	NOUN
fumecheng-11485	191	34	method	method	NOUN
fumecheng-11485	191	35	for	for	ADP
fumecheng-11485	191	36	the	the	DET
fumecheng-11485	191	37	dropping	drop	VERB
fumecheng-11485	191	38	shock	shock	NOUN
fumecheng-11485	191	39	response	response	NOUN
fumecheng-11485	191	40	of	of	ADP
fumecheng-11485	191	41	a	a	DET
fumecheng-11485	191	42	tangent	tangent	ADJ
fumecheng-11485	191	43	nonlinear	nonlinear	ADJ
fumecheng-11485	191	44	packaging	packaging	NOUN
fumecheng-11485	191	45	system	system	NOUN
fumecheng-11485	191	46	,	,	PUNCT
fumecheng-11485	191	47	journal	journal	NOUN
fumecheng-11485	191	48	of	of	ADP
fumecheng-11485	191	49	low	low	ADJ
fumecheng-11485	191	50	frequency	frequency	NOUN
fumecheng-11485	191	51	noise	noise	NOUN
fumecheng-11485	191	52	,	,	PUNCT
fumecheng-11485	191	53	vibration	vibration	NOUN
fumecheng-11485	191	54	and	and	CCONJ
fumecheng-11485	191	55	active	active	ADJ
fumecheng-11485	191	56	control	control	NOUN
fumecheng-11485	191	57	,	,	PUNCT
fumecheng-11485	191	58	40(2	40(2	NUM
fumecheng-11485	191	59	)	)	PUNCT
fumecheng-11485	191	60	,	,	PUNCT
fumecheng-11485	191	61	pp.675	pp.675	NOUN
fumecheng-11485	191	62	-	-	PUNCT
fumecheng-11485	191	63	682	682	NUM
fumecheng-11485	191	64	.	.	PUNCT
fumecheng-11485	192	1	17	17	NUM
fumecheng-11485	192	2	.	.	PUNCT
fumecheng-11485	193	1	nadeem	nadeem	PROPN
fumecheng-11485	193	2	,	,	PUNCT
fumecheng-11485	193	3	m.	m.	NOUN
fumecheng-11485	193	4	,	,	PUNCT
fumecheng-11485	193	5	li	li	PROPN
fumecheng-11485	193	6	,	,	PUNCT
fumecheng-11485	193	7	f.q	f.q	PROPN
fumecheng-11485	193	8	.	.	PROPN
fumecheng-11485	193	9	,2019	,2019	PROPN
fumecheng-11485	193	10	,	,	PUNCT
fumecheng-11485	193	11	he	he	PRON
fumecheng-11485	193	12	-	-	PUNCT
fumecheng-11485	193	13	laplace	laplace	NOUN
fumecheng-11485	193	14	method	method	NOUN
fumecheng-11485	193	15	for	for	ADP
fumecheng-11485	193	16	nonlinear	nonlinear	ADJ
fumecheng-11485	193	17	vibration	vibration	NOUN
fumecheng-11485	193	18	systems	system	NOUN
fumecheng-11485	193	19	and	and	CCONJ
fumecheng-11485	193	20	nonlinear	nonlinear	ADJ
fumecheng-11485	193	21	wave	wave	NOUN
fumecheng-11485	193	22	equations	equation	NOUN
fumecheng-11485	193	23	journal	journal	NOUN
fumecheng-11485	193	24	of	of	ADP
fumecheng-11485	193	25	low	low	ADJ
fumecheng-11485	193	26	frequency	frequency	NOUN
fumecheng-11485	193	27	noise	noise	NOUN
fumecheng-11485	193	28	,	,	PUNCT
fumecheng-11485	193	29	vibration	vibration	NOUN
fumecheng-11485	193	30	and	and	CCONJ
fumecheng-11485	193	31	active	active	ADJ
fumecheng-11485	193	32	control	control	NOUN
fumecheng-11485	193	33	,	,	PUNCT
fumecheng-11485	193	34	38(3	38(3	NUM
fumecheng-11485	193	35	-	-	SYM
fumecheng-11485	193	36	4	4	NUM
fumecheng-11485	193	37	)	)	PUNCT
fumecheng-11485	193	38	,	,	PUNCT
fumecheng-11485	193	39	pp	pp	ADJ
fumecheng-11485	193	40	.	.	PUNCT
fumecheng-11485	194	1	1060	1060	NUM
fumecheng-11485	194	2	-	-	SYM
fumecheng-11485	194	3	1074	1074	NUM
fumecheng-11485	194	4	.	.	PUNCT
fumecheng-11485	195	1	18	18	NUM
fumecheng-11485	195	2	.	.	X
fumecheng-11485	195	3	adamu	adamu	PROPN
fumecheng-11485	195	4	,	,	PUNCT
fumecheng-11485	195	5	m.y	m.y	PROPN
fumecheng-11485	195	6	.	.	PROPN
fumecheng-11485	195	7	,	,	PUNCT
fumecheng-11485	195	8	ogenyi	ogenyi	ADJ
fumecheng-11485	195	9	,	,	PUNCT
fumecheng-11485	195	10	p.	p.	NOUN
fumecheng-11485	195	11	,	,	PUNCT
fumecheng-11485	195	12	2018	2018	NUM
fumecheng-11485	195	13	,	,	PUNCT
fumecheng-11485	195	14	new	new	ADJ
fumecheng-11485	195	15	approach	approach	NOUN
fumecheng-11485	195	16	to	to	ADP
fumecheng-11485	195	17	parameterized	parameterized	ADJ
fumecheng-11485	195	18	homotopy	homotopy	NOUN
fumecheng-11485	195	19	perturbation	perturbation	NOUN
fumecheng-11485	195	20	method	method	NOUN
fumecheng-11485	195	21	,	,	PUNCT
fumecheng-11485	195	22	thermal	thermal	ADJ
fumecheng-11485	195	23	science	science	NOUN
fumecheng-11485	195	24	,	,	PUNCT
fumecheng-11485	195	25	22(4	22(4	NUM
fumecheng-11485	195	26	)	)	PUNCT
fumecheng-11485	195	27	,	,	PUNCT
fumecheng-11485	195	28	pp	pp	ADP
fumecheng-11485	195	29	.	.	PUNCT
fumecheng-11485	196	1	1865	1865	NUM
fumecheng-11485	196	2	-	-	SYM
fumecheng-11485	196	3	1870	1870	NUM
fumecheng-11485	196	4	.	.	PUNCT
fumecheng-11485	197	1	19	19	NUM
fumecheng-11485	197	2	.	.	X
fumecheng-11485	197	3	peker	peker	NOUN
fumecheng-11485	197	4	,	,	PUNCT
fumecheng-11485	197	5	h.a	h.a	PROPN
fumecheng-11485	197	6	.	.	PROPN
fumecheng-11485	197	7	,	,	PUNCT
fumecheng-11485	197	8	cuha	cuha	NOUN
fumecheng-11485	197	9	,	,	PUNCT
fumecheng-11485	197	10	f.a	f.a	PROPN
fumecheng-11485	197	11	.	.	PROPN
fumecheng-11485	197	12	,	,	PUNCT
fumecheng-11485	197	13	2022	2022	NUM
fumecheng-11485	197	14	,	,	PUNCT
fumecheng-11485	197	15	application	application	NOUN
fumecheng-11485	197	16	of	of	ADP
fumecheng-11485	197	17	kashuri	kashuri	PROPN
fumecheng-11485	197	18	fundo	fundo	PROPN
fumecheng-11485	197	19	transform	transform	VERB
fumecheng-11485	197	20	and	and	CCONJ
fumecheng-11485	197	21	homotopy	homotopy	VERB
fumecheng-11485	197	22	perturbation	perturbation	NOUN
fumecheng-11485	197	23	method	method	NOUN
fumecheng-11485	197	24	for	for	ADP
fumecheng-11485	197	25	fractional	fractional	ADJ
fumecheng-11485	197	26	heat	heat	NOUN
fumecheng-11485	197	27	transfer	transfer	NOUN
fumecheng-11485	197	28	and	and	CCONJ
fumecheng-11485	197	29	porous	porous	ADJ
fumecheng-11485	197	30	media	medium	NOUN
fumecheng-11485	197	31	equations	equation	NOUN
fumecheng-11485	197	32	,	,	PUNCT
fumecheng-11485	197	33	thermal	thermal	ADJ
fumecheng-11485	197	34	science	science	NOUN
fumecheng-11485	197	35	,	,	PUNCT
fumecheng-11485	197	36	26(4	26(4	NUM
fumecheng-11485	197	37	)	)	PUNCT
fumecheng-11485	197	38	,	,	PUNCT
fumecheng-11485	197	39	pp	pp	ADJ
fumecheng-11485	197	40	.	.	PUNCT
fumecheng-11485	198	1	2877	2877	NUM
fumecheng-11485	198	2	-	-	SYM
fumecheng-11485	198	3	2884	2884	NUM
fumecheng-11485	198	4	.	.	PUNCT
fumecheng-11485	199	1	20	20	NUM
fumecheng-11485	199	2	.	.	PUNCT
fumecheng-11485	200	1	alam	alam	PROPN
fumecheng-11485	200	2	,	,	PUNCT
fumecheng-11485	200	3	m.s	m.s	PROPN
fumecheng-11485	200	4	.	.	PROPN
fumecheng-11485	200	5	,	,	PUNCT
fumecheng-11485	200	6	sharif	sharif	PROPN
fumecheng-11485	200	7	,	,	PUNCT
fumecheng-11485	200	8	n.	n.	PROPN
fumecheng-11485	200	9	,	,	PUNCT
fumecheng-11485	200	10	molla	molla	NOUN
fumecheng-11485	200	11	,	,	PUNCT
fumecheng-11485	200	12	m.h.u	m.h.u	NOUN
fumecheng-11485	200	13	.	.	PUNCT
fumecheng-11485	200	14	,	,	PUNCT
fumecheng-11485	200	15	2022	2022	NUM
fumecheng-11485	200	16	,	,	PUNCT
fumecheng-11485	200	17	combination	combination	NOUN
fumecheng-11485	200	18	of	of	ADP
fumecheng-11485	200	19	modified	modified	ADJ
fumecheng-11485	200	20	lindstedt	lindstedt	PROPN
fumecheng-11485	200	21	-	-	PUNCT
fumecheng-11485	200	22	poincare	poincare	PROPN
fumecheng-11485	200	23	and	and	CCONJ
fumecheng-11485	200	24	homotopy	homotopy	VERB
fumecheng-11485	200	25	perturbation	perturbation	NOUN
fumecheng-11485	200	26	methods	method	NOUN
fumecheng-11485	200	27	,	,	PUNCT
fumecheng-11485	200	28	journal	journal	NOUN
fumecheng-11485	200	29	of	of	ADP
fumecheng-11485	200	30	low	low	ADJ
fumecheng-11485	200	31	frequency	frequency	NOUN
fumecheng-11485	200	32	noise	noise	NOUN
fumecheng-11485	200	33	,	,	PUNCT
fumecheng-11485	200	34	vibration	vibration	NOUN
fumecheng-11485	200	35	and	and	CCONJ
fumecheng-11485	200	36	active	active	ADJ
fumecheng-11485	200	37	control	control	NOUN
fumecheng-11485	200	38	,	,	PUNCT
fumecheng-11485	200	39	doi	doi	PROPN
fumecheng-11485	200	40	:	:	PUNCT
fumecheng-11485	200	41	10.1177/14613484221148049	10.1177/14613484221148049	NUM
fumecheng-11485	200	42	21	21	NUM
fumecheng-11485	200	43	.	.	PUNCT
fumecheng-11485	201	1	li	li	PROPN
fumecheng-11485	201	2	,	,	PUNCT
fumecheng-11485	201	3	z.y	z.y	PROPN
fumecheng-11485	201	4	.	.	PROPN
fumecheng-11485	201	5	,	,	PUNCT
fumecheng-11485	201	6	wang	wang	PROPN
fumecheng-11485	201	7	,	,	PUNCT
fumecheng-11485	201	8	m.c	m.c	PROPN
fumecheng-11485	201	9	.	.	PROPN
fumecheng-11485	201	10	,	,	PUNCT
fumecheng-11485	201	11	wang	wang	PROPN
fumecheng-11485	201	12	,	,	PUNCT
fumecheng-11485	201	13	y.l	y.l	PROPN
fumecheng-11485	201	14	.	.	PROPN
fumecheng-11485	201	15	,	,	PUNCT
fumecheng-11485	201	16	2022	2022	NUM
fumecheng-11485	201	17	,	,	PUNCT
fumecheng-11485	201	18	solving	solve	VERB
fumecheng-11485	201	19	a	a	DET
fumecheng-11485	201	20	class	class	NOUN
fumecheng-11485	201	21	of	of	ADP
fumecheng-11485	201	22	variable	variable	ADJ
fumecheng-11485	201	23	order	order	NOUN
fumecheng-11485	201	24	nonlinear	nonlinear	ADJ
fumecheng-11485	201	25	fractional	fractional	ADJ
fumecheng-11485	201	26	integral	integral	ADJ
fumecheng-11485	201	27	differential	differential	NOUN
fumecheng-11485	201	28	equations	equation	NOUN
fumecheng-11485	201	29	by	by	ADP
fumecheng-11485	201	30	using	use	VERB
fumecheng-11485	201	31	reproducing	reproduce	VERB
fumecheng-11485	201	32	kernel	kernel	PROPN
fumecheng-11485	201	33	function	function	NOUN
fumecheng-11485	201	34	,	,	PUNCT
fumecheng-11485	201	35	aims	aim	VERB
fumecheng-11485	201	36	mathematics	mathematic	NOUN
fumecheng-11485	201	37	,	,	PUNCT
fumecheng-11485	201	38	7(7	7(7	NUM
fumecheng-11485	201	39	)	)	PUNCT
fumecheng-11485	201	40	,	,	PUNCT
fumecheng-11485	201	41	pp	pp	ADJ
fumecheng-11485	201	42	.	.	PUNCT
fumecheng-11485	202	1	12935	12935	NUM
fumecheng-11485	202	2	-	-	SYM
fumecheng-11485	202	3	12951	12951	NUM
fumecheng-11485	202	4	.	.	PUNCT
fumecheng-11485	203	1	22	22	NUM
fumecheng-11485	203	2	.	.	PUNCT
fumecheng-11485	204	1	li	li	PROPN
fumecheng-11485	204	2	,	,	PUNCT
fumecheng-11485	204	3	z.y	z.y	PROPN
fumecheng-11485	204	4	.	.	PROPN
fumecheng-11485	204	5	,	,	PUNCT
fumecheng-11485	204	6	chen	chen	PROPN
fumecheng-11485	204	7	,	,	PUNCT
fumecheng-11485	204	8	q.t	q.t	PROPN
fumecheng-11485	204	9	.	.	PROPN
fumecheng-11485	204	10	,	,	PUNCT
fumecheng-11485	204	11	wang	wang	PROPN
fumecheng-11485	204	12	,	,	PUNCT
fumecheng-11485	204	13	y.l	y.l	PROPN
fumecheng-11485	204	14	.	.	PROPN
fumecheng-11485	204	15	,	,	PUNCT
fumecheng-11485	204	16	li	li	PROPN
fumecheng-11485	204	17	,	,	PUNCT
fumecheng-11485	204	18	x.y	x.y	PROPN
fumecheng-11485	204	19	.	.	PROPN
fumecheng-11485	204	20	,	,	PUNCT
fumecheng-11485	204	21	2022	2022	NUM
fumecheng-11485	204	22	,	,	PUNCT
fumecheng-11485	204	23	solving	solve	VERB
fumecheng-11485	204	24	two	two	NUM
fumecheng-11485	204	25	-	-	PUNCT
fumecheng-11485	204	26	sided	sided	ADJ
fumecheng-11485	204	27	fractional	fractional	ADJ
fumecheng-11485	204	28	super	super	ADJ
fumecheng-11485	204	29	-	-	ADJ
fumecheng-11485	204	30	diffusive	diffusive	ADJ
fumecheng-11485	204	31	partial	partial	ADJ
fumecheng-11485	204	32	differential	differential	ADJ
fumecheng-11485	204	33	equations	equation	NOUN
fumecheng-11485	204	34	with	with	ADP
fumecheng-11485	204	35	variable	variable	ADJ
fumecheng-11485	204	36	coefficients	coefficient	NOUN
fumecheng-11485	204	37	in	in	ADP
fumecheng-11485	204	38	a	a	DET
fumecheng-11485	204	39	class	class	NOUN
fumecheng-11485	204	40	of	of	ADP
fumecheng-11485	204	41	new	new	ADJ
fumecheng-11485	204	42	reproducing	reproducing	NOUN
fumecheng-11485	204	43	kernel	kernel	NOUN
fumecheng-11485	204	44	spaces	space	NOUN
fumecheng-11485	204	45	,	,	PUNCT
fumecheng-11485	204	46	fractal	fractal	ADJ
fumecheng-11485	204	47	and	and	CCONJ
fumecheng-11485	204	48	fractional	fractional	ADJ
fumecheng-11485	204	49	,	,	PUNCT
fumecheng-11485	204	50	6(9	6(9	NUM
fumecheng-11485	204	51	)	)	PUNCT
fumecheng-11485	204	52	,	,	PUNCT
fumecheng-11485	204	53	492	492	NUM
fumecheng-11485	204	54	.	.	PUNCT
fumecheng-11485	204	55	23	23	NUM
fumecheng-11485	204	56	.	.	PUNCT
fumecheng-11485	205	1	wang	wang	PROPN
fumecheng-11485	205	2	,	,	PUNCT
fumecheng-11485	205	3	k.l	k.l	PROPN
fumecheng-11485	205	4	.	.	PROPN
fumecheng-11485	205	5	,	,	PUNCT
fumecheng-11485	205	6	2023	2023	NUM
fumecheng-11485	205	7	,	,	PUNCT
fumecheng-11485	205	8	novel	novel	ADJ
fumecheng-11485	205	9	analytical	analytical	ADJ
fumecheng-11485	205	10	approach	approach	NOUN
fumecheng-11485	205	11	to	to	ADP
fumecheng-11485	205	12	modified	modify	VERB
fumecheng-11485	205	13	fractal	fractal	ADJ
fumecheng-11485	205	14	gas	gas	NOUN
fumecheng-11485	205	15	dynamics	dynamic	NOUN
fumecheng-11485	205	16	model	model	NOUN
fumecheng-11485	205	17	with	with	ADP
fumecheng-11485	205	18	the	the	DET
fumecheng-11485	205	19	variable	variable	ADJ
fumecheng-11485	205	20	coefficients	coefficient	NOUN
fumecheng-11485	205	21	,	,	PUNCT
fumecheng-11485	205	22	zamm	zamm	PROPN
fumecheng-11485	205	23	,	,	PUNCT
fumecheng-11485	205	24	https://doi.org/10.1002/zamm.202100391	https://doi.org/10.1002/zamm.202100391	NOUN
fumecheng-11485	205	25	.	.	PUNCT
fumecheng-11485	206	1	24	24	NUM
fumecheng-11485	206	2	.	.	PUNCT
fumecheng-11485	207	1	wang	wang	PROPN
fumecheng-11485	207	2	,	,	PUNCT
fumecheng-11485	207	3	k.l	k.l	PROPN
fumecheng-11485	207	4	.	.	PROPN
fumecheng-11485	207	5	,	,	PUNCT
fumecheng-11485	207	6	wei	wei	PROPN
fumecheng-11485	207	7	,	,	PUNCT
fumecheng-11485	207	8	c.f	c.f	PROPN
fumecheng-11485	207	9	.	.	PROPN
fumecheng-11485	207	10	,	,	PUNCT
fumecheng-11485	207	11	2023	2023	NUM
fumecheng-11485	207	12	,	,	PUNCT
fumecheng-11485	207	13	fractal	fractal	ADJ
fumecheng-11485	207	14	soliton	soliton	NOUN
fumecheng-11485	207	15	solutions	solution	NOUN
fumecheng-11485	207	16	for	for	ADP
fumecheng-11485	207	17	the	the	DET
fumecheng-11485	207	18	fractal	fractal	ADJ
fumecheng-11485	207	19	-	-	PUNCT
fumecheng-11485	207	20	fractional	fractional	ADJ
fumecheng-11485	207	21	shallow	shallow	ADJ
fumecheng-11485	207	22	water	water	NOUN
fumecheng-11485	207	23	wave	wave	NOUN
fumecheng-11485	207	24	equation	equation	NOUN
fumecheng-11485	207	25	arising	arise	VERB
fumecheng-11485	207	26	in	in	ADP
fumecheng-11485	207	27	ocean	ocean	PROPN
fumecheng-11485	207	28	engineering	engineering	NOUN
fumecheng-11485	207	29	,	,	PUNCT
fumecheng-11485	207	30	alexandria	alexandria	PROPN
fumecheng-11485	207	31	engineering	engineering	PROPN
fumecheng-11485	207	32	journal	journal	PROPN
fumecheng-11485	207	33	,	,	PUNCT
fumecheng-11485	207	34	65	65	NUM
fumecheng-11485	207	35	,	,	PUNCT
fumecheng-11485	207	36	pp	pp	ADJ
fumecheng-11485	207	37	.	.	PUNCT
fumecheng-11485	208	1	859	859	NUM
fumecheng-11485	208	2	-	-	SYM
fumecheng-11485	208	3	865	865	NUM
fumecheng-11485	208	4	.	.	NUM
fumecheng-11485	209	1	25	25	NUM
fumecheng-11485	209	2	.	.	PUNCT
fumecheng-11485	210	1	wang	wang	PROPN
fumecheng-11485	210	2	,	,	PUNCT
fumecheng-11485	210	3	s.q	s.q	PROPN
fumecheng-11485	210	4	.	.	PROPN
fumecheng-11485	210	5	,	,	PUNCT
fumecheng-11485	210	6	wang	wang	PROPN
fumecheng-11485	210	7	,	,	PUNCT
fumecheng-11485	210	8	x.y	x.y	PROPN
fumecheng-11485	210	9	.	.	PROPN
fumecheng-11485	210	10	,	,	PUNCT
fumecheng-11485	210	11	shen	shen	PROPN
fumecheng-11485	210	12	,	,	PUNCT
fumecheng-11485	210	13	y.y	y.y	PROPN
fumecheng-11485	210	14	.	.	PROPN
fumecheng-11485	210	15	,	,	PUNCT
fumecheng-11485	210	16	et	et	PROPN
fumecheng-11485	210	17	.	.	PUNCT
fumecheng-11485	211	1	al	al	PROPN
fumecheng-11485	211	2	,	,	PUNCT
fumecheng-11485	211	3	2022	2022	NUM
fumecheng-11485	211	4	,	,	PUNCT
fumecheng-11485	211	5	an	an	DET
fumecheng-11485	211	6	ensemble	ensemble	ADV
fumecheng-11485	211	7	-	-	PUNCT
fumecheng-11485	211	8	based	base	VERB
fumecheng-11485	211	9	densely	densely	ADV
fumecheng-11485	211	10	-	-	PUNCT
fumecheng-11485	211	11	connected	connect	VERB
fumecheng-11485	211	12	deep	deep	ADJ
fumecheng-11485	211	13	learning	learning	NOUN
fumecheng-11485	211	14	system	system	NOUN
fumecheng-11485	211	15	for	for	ADP
fumecheng-11485	211	16	assessment	assessment	NOUN
fumecheng-11485	211	17	of	of	ADP
fumecheng-11485	211	18	skeletal	skeletal	ADJ
fumecheng-11485	211	19	maturity	maturity	NOUN
fumecheng-11485	211	20	,	,	PUNCT
fumecheng-11485	211	21	ieee	ieee	NOUN
fumecheng-11485	211	22	transactions	transaction	NOUN
fumecheng-11485	211	23	on	on	ADP
fumecheng-11485	211	24	systems	system	NOUN
fumecheng-11485	211	25	,	,	PUNCT
fumecheng-11485	211	26	man	man	NOUN
fumecheng-11485	211	27	,	,	PUNCT
fumecheng-11485	211	28	and	and	CCONJ
fumecheng-11485	211	29	cybernetics	cybernetic	NOUN
fumecheng-11485	211	30	:	:	PUNCT
fumecheng-11485	211	31	systems	system	NOUN
fumecheng-11485	211	32	,	,	PUNCT
fumecheng-11485	211	33	52(1	52(1	NOUN
fumecheng-11485	211	34	)	)	PUNCT
fumecheng-11485	211	35	,	,	PUNCT
fumecheng-11485	212	1	pp	pp	PROPN
fumecheng-11485	212	2	.	.	PUNCT
fumecheng-11485	213	1	426	426	NUM
fumecheng-11485	213	2	-	-	SYM
fumecheng-11485	213	3	437	437	NUM
fumecheng-11485	213	4	.	.	PUNCT
fumecheng-11485	214	1	26	26	NUM
fumecheng-11485	214	2	.	.	PUNCT
fumecheng-11485	215	1	wang	wang	PROPN
fumecheng-11485	215	2	,	,	PUNCT
fumecheng-11485	215	3	s.q	s.q	PROPN
fumecheng-11485	215	4	.	.	PROPN
fumecheng-11485	215	5	,	,	PUNCT
fumecheng-11485	215	6	shen	shen	PROPN
fumecheng-11485	215	7	,	,	PUNCT
fumecheng-11485	215	8	y.y	y.y	PROPN
fumecheng-11485	215	9	.	.	PROPN
fumecheng-11485	215	10	,	,	PUNCT
fumecheng-11485	215	11	shi	shi	PROPN
fumecheng-11485	215	12	,	,	PUNCT
fumecheng-11485	215	13	c.h	c.h	PROPN
fumecheng-11485	215	14	.	.	PROPN
fumecheng-11485	215	15	,	,	PUNCT
fumecheng-11485	215	16	et	et	PROPN
fumecheng-11485	215	17	.	.	PUNCT
fumecheng-11485	216	1	al	al	PROPN
fumecheng-11485	216	2	,	,	PUNCT
fumecheng-11485	216	3	2018	2018	NUM
fumecheng-11485	216	4	,	,	PUNCT
fumecheng-11485	216	5	skeletal	skeletal	ADJ
fumecheng-11485	216	6	maturity	maturity	NOUN
fumecheng-11485	216	7	recognition	recognition	NOUN
fumecheng-11485	216	8	using	use	VERB
fumecheng-11485	216	9	a	a	DET
fumecheng-11485	216	10	fully	fully	ADV
fumecheng-11485	216	11	automated	automate	VERB
fumecheng-11485	216	12	system	system	NOUN
fumecheng-11485	216	13	with	with	ADP
fumecheng-11485	216	14	convolutional	convolutional	ADJ
fumecheng-11485	216	15	neural	neural	ADJ
fumecheng-11485	216	16	networks	network	NOUN
fumecheng-11485	216	17	,	,	PUNCT
fumecheng-11485	216	18	ieee	ieee	NOUN
fumecheng-11485	216	19	access	access	NOUN
fumecheng-11485	216	20	,	,	PUNCT
fumecheng-11485	216	21	6	6	NUM
fumecheng-11485	216	22	,	,	PUNCT
fumecheng-11485	216	23	pp	pp	ADJ
fumecheng-11485	216	24	.	.	PUNCT
fumecheng-11485	217	1	29979	29979	NUM
fumecheng-11485	217	2	-	-	SYM
fumecheng-11485	217	3	29993	29993	NUM
fumecheng-11485	217	4	.	.	PUNCT
fumecheng-11485	218	1	27	27	NUM
fumecheng-11485	218	2	.	.	X
fumecheng-11485	219	1	hu	hu	PROPN
fumecheng-11485	219	2	,	,	PUNCT
fumecheng-11485	219	3	s.y	s.y	PROPN
fumecheng-11485	219	4	.	.	PROPN
fumecheng-11485	219	5	,	,	PUNCT
fumecheng-11485	219	6	yuan	yuan	PROPN
fumecheng-11485	219	7	,	,	PUNCT
fumecheng-11485	219	8	j.p	j.p	PROPN
fumecheng-11485	219	9	.	.	PROPN
fumecheng-11485	219	10	,	,	PUNCT
fumecheng-11485	219	11	wang	wang	PROPN
fumecheng-11485	219	12	,	,	PUNCT
fumecheng-11485	219	13	s.q	s.q	PROPN
fumecheng-11485	219	14	.	.	PROPN
fumecheng-11485	219	15	,	,	PUNCT
fumecheng-11485	219	16	2019	2019	NUM
fumecheng-11485	219	17	,	,	PUNCT
fumecheng-11485	219	18	cross	cross	ADJ
fumecheng-11485	219	19	-	-	ADJ
fumecheng-11485	219	20	modality	modality	ADJ
fumecheng-11485	219	21	synthesis	synthesis	NOUN
fumecheng-11485	219	22	from	from	ADP
fumecheng-11485	219	23	mri	mri	NOUN
fumecheng-11485	219	24	to	to	PART
fumecheng-11485	219	25	pet	pet	VERB
fumecheng-11485	219	26	using	use	VERB
fumecheng-11485	219	27	adversarial	adversarial	ADJ
fumecheng-11485	219	28	u	u	NOUN
fumecheng-11485	219	29	-	-	NOUN
fumecheng-11485	219	30	net	net	ADJ
fumecheng-11485	219	31	with	with	ADP
fumecheng-11485	219	32	different	different	ADJ
fumecheng-11485	219	33	normalization	normalization	NOUN
fumecheng-11485	219	34	,	,	PUNCT
fumecheng-11485	219	35	2019	2019	NUM
fumecheng-11485	219	36	international	international	ADJ
fumecheng-11485	219	37	conference	conference	NOUN
fumecheng-11485	219	38	on	on	ADP
fumecheng-11485	219	39	medical	medical	ADJ
fumecheng-11485	219	40	imaging	imaging	NOUN
fumecheng-11485	219	41	physics	physics	PROPN
fumecheng-11485	219	42	and	and	CCONJ
fumecheng-11485	219	43	engineering	engineering	NOUN
fumecheng-11485	219	44	,	,	PUNCT
fumecheng-11485	219	45	doi	doi	NOUN
fumecheng-11485	219	46	:	:	PUNCT
fumecheng-11485	219	47	10.1109	10.1109	NUM
fumecheng-11485	219	48	/	/	SYM
fumecheng-11485	219	49	icmipe47306.2019.9098219	icmipe47306.2019.9098219	NUM
fumecheng-11485	219	50	28	28	NUM
fumecheng-11485	219	51	.	.	PUNCT
fumecheng-11485	220	1	wu	wu	PROPN
fumecheng-11485	220	2	,	,	PUNCT
fumecheng-11485	220	3	k.	k.	PROPN
fumecheng-11485	220	4	,	,	PUNCT
fumecheng-11485	220	5	shen	shen	PROPN
fumecheng-11485	220	6	,	,	PUNCT
fumecheng-11485	220	7	y.y	y.y	PROPN
fumecheng-11485	220	8	.	.	PROPN
fumecheng-11485	220	9	,	,	PUNCT
fumecheng-11485	220	10	wang	wang	PROPN
fumecheng-11485	220	11	,	,	PUNCT
fumecheng-11485	220	12	s.q	s.q	PROPN
fumecheng-11485	220	13	.	.	PROPN
fumecheng-11485	220	14	,	,	PUNCT
fumecheng-11485	220	15	2018	2018	NUM
fumecheng-11485	220	16	,	,	PUNCT
fumecheng-11485	220	17	3d	3d	NUM
fumecheng-11485	220	18	convolutional	convolutional	ADJ
fumecheng-11485	220	19	neural	neural	ADJ
fumecheng-11485	220	20	network	network	NOUN
fumecheng-11485	220	21	for	for	ADP
fumecheng-11485	220	22	regional	regional	ADJ
fumecheng-11485	220	23	precipitation	precipitation	NOUN
fumecheng-11485	220	24	nowcasting	nowcasting	NOUN
fumecheng-11485	220	25	,	,	PUNCT
fumecheng-11485	220	26	journal	journal	NOUN
fumecheng-11485	220	27	of	of	ADP
fumecheng-11485	220	28	image	image	NOUN
fumecheng-11485	220	29	and	and	CCONJ
fumecheng-11485	220	30	signal	signal	NOUN
fumecheng-11485	220	31	processing	processing	NOUN
fumecheng-11485	220	32	,	,	PUNCT
fumecheng-11485	220	33	7(4	7(4	NUM
fumecheng-11485	220	34	)	)	PUNCT
fumecheng-11485	220	35	,	,	PUNCT
fumecheng-11485	220	36	pp	pp	ADP
fumecheng-11485	220	37	.	.	PUNCT
fumecheng-11485	221	1	200	200	NUM
fumecheng-11485	221	2	-	-	SYM
fumecheng-11485	221	3	212	212	NUM
fumecheng-11485	221	4	.	.	PUNCT
fumecheng-11485	222	1	29	29	NUM
fumecheng-11485	222	2	.	.	PUNCT
fumecheng-11485	223	1	wang	wang	PROPN
fumecheng-11485	223	2	,	,	PUNCT
fumecheng-11485	223	3	s.q	s.q	PROPN
fumecheng-11485	223	4	.	.	PROPN
fumecheng-11485	223	5	,	,	PUNCT
fumecheng-11485	223	6	li	li	PROPN
fumecheng-11485	223	7	,	,	PUNCT
fumecheng-11485	223	8	x.	x.	PROPN
fumecheng-11485	223	9	,	,	PUNCT
fumecheng-11485	223	10	cui	cui	PROPN
fumecheng-11485	223	11	,	,	PUNCT
fumecheng-11485	223	12	j.l	j.l	PROPN
fumecheng-11485	223	13	.	.	PROPN
fumecheng-11485	223	14	,	,	PUNCT
fumecheng-11485	223	15	et	et	PROPN
fumecheng-11485	223	16	al	al	PROPN
fumecheng-11485	223	17	.	.	PROPN
fumecheng-11485	223	18	,	,	PUNCT
fumecheng-11485	223	19	2015	2015	NUM
fumecheng-11485	223	20	,	,	PUNCT
fumecheng-11485	223	21	prediction	prediction	NOUN
fumecheng-11485	223	22	of	of	ADP
fumecheng-11485	223	23	myelopathic	myelopathic	ADJ
fumecheng-11485	223	24	level	level	NOUN
fumecheng-11485	223	25	in	in	ADP
fumecheng-11485	223	26	cervical	cervical	ADJ
fumecheng-11485	223	27	spondylotic	spondylotic	ADJ
fumecheng-11485	223	28	myelopathy	myelopathy	ADJ
fumecheng-11485	223	29	using	use	VERB
fumecheng-11485	223	30	diffusion	diffusion	NOUN
fumecheng-11485	223	31	tensor	tensor	NOUN
fumecheng-11485	223	32	imaging	imaging	NOUN
fumecheng-11485	223	33	,	,	PUNCT
fumecheng-11485	223	34	journal	journal	NOUN
fumecheng-11485	223	35	of	of	ADP
fumecheng-11485	223	36	magnetic	magnetic	ADJ
fumecheng-11485	223	37	resonance	resonance	NOUN
fumecheng-11485	223	38	imaging	imaging	NOUN
fumecheng-11485	223	39	,	,	PUNCT
fumecheng-11485	223	40	41(6	41(6	NOUN
fumecheng-11485	223	41	)	)	PUNCT
fumecheng-11485	223	42	,	,	PUNCT
fumecheng-11485	223	43	pp	pp	ADP
fumecheng-11485	223	44	.	.	PUNCT
fumecheng-11485	223	45	1682	1682	NUM
fumecheng-11485	223	46	-	-	SYM
fumecheng-11485	223	47	1688	1688	NUM
fumecheng-11485	223	48	.	.	PUNCT
fumecheng-11485	224	1	30	30	NUM
fumecheng-11485	224	2	.	.	X
fumecheng-11485	225	1	yu	yu	PROPN
fumecheng-11485	225	2	,	,	PUNCT
fumecheng-11485	225	3	w.	w.	PROPN
fumecheng-11485	225	4	,	,	PUNCT
fumecheng-11485	225	5	lei	lei	PROPN
fumecheng-11485	225	6	,	,	PUNCT
fumecheng-11485	225	7	b.y	b.y	PROPN
fumecheng-11485	225	8	.	.	PROPN
fumecheng-11485	225	9	,	,	PUNCT
fumecheng-11485	225	10	shen	shen	PROPN
fumecheng-11485	225	11	,	,	PUNCT
fumecheng-11485	225	12	y.y	y.y	PROPN
fumecheng-11485	225	13	.	.	PROPN
fumecheng-11485	225	14	,	,	PUNCT
fumecheng-11485	225	15	et	et	PROPN
fumecheng-11485	225	16	.	.	PUNCT
fumecheng-11485	226	1	al	al	PROPN
fumecheng-11485	226	2	,	,	PUNCT
fumecheng-11485	226	3	2021	2021	NUM
fumecheng-11485	226	4	,	,	PUNCT
fumecheng-11485	226	5	morphological	morphological	ADJ
fumecheng-11485	226	6	feature	feature	NOUN
fumecheng-11485	226	7	visualization	visualization	NOUN
fumecheng-11485	226	8	of	of	ADP
fumecheng-11485	226	9	alzheimer	alzheimer	PROPN
fumecheng-11485	226	10	's	's	PART
fumecheng-11485	226	11	disease	disease	NOUN
fumecheng-11485	226	12	via	via	ADP
fumecheng-11485	226	13	multidirectional	multidirectional	ADJ
fumecheng-11485	226	14	perception	perception	NOUN
fumecheng-11485	226	15	gan	gan	NOUN
fumecheng-11485	226	16	,	,	PUNCT
fumecheng-11485	226	17	ieee	ieee	NOUN
fumecheng-11485	226	18	transactions	transaction	NOUN
fumecheng-11485	226	19	on	on	ADP
fumecheng-11485	226	20	neural	neural	ADJ
fumecheng-11485	226	21	networks	network	NOUN
fumecheng-11485	226	22	and	and	CCONJ
fumecheng-11485	226	23	learning	learning	NOUN
fumecheng-11485	226	24	systems	system	NOUN
fumecheng-11485	226	25	,	,	PUNCT
fumecheng-11485	226	26	doi	doi	NOUN
fumecheng-11485	226	27	:	:	PUNCT
fumecheng-11485	226	28	10.1109	10.1109	NUM
fumecheng-11485	226	29	/	/	SYM
fumecheng-11485	226	30	tnnls.2021.3118369	tnnls.2021.3118369	ADP
fumecheng-11485	226	31	31	31	NUM
fumecheng-11485	226	32	.	.	PUNCT
fumecheng-11485	227	1	hu	hu	PROPN
fumecheng-11485	227	2	,	,	PUNCT
fumecheng-11485	227	3	s.y	s.y	PROPN
fumecheng-11485	227	4	.	.	PROPN
fumecheng-11485	227	5	,	,	PUNCT
fumecheng-11485	227	6	lei	lei	PROPN
fumecheng-11485	227	7	,	,	PUNCT
fumecheng-11485	227	8	b.y	b.y	PROPN
fumecheng-11485	227	9	.	.	PROPN
fumecheng-11485	227	10	,	,	PUNCT
fumecheng-11485	227	11	wang	wang	PROPN
fumecheng-11485	227	12	,	,	PUNCT
fumecheng-11485	227	13	s.q	s.q	PROPN
fumecheng-11485	227	14	.	.	PROPN
fumecheng-11485	227	15	,	,	PUNCT
fumecheng-11485	227	16	et	et	PROPN
fumecheng-11485	227	17	.	.	PUNCT
fumecheng-11485	228	1	al	al	PROPN
fumecheng-11485	228	2	,	,	PUNCT
fumecheng-11485	228	3	2021	2021	NUM
fumecheng-11485	228	4	,	,	PUNCT
fumecheng-11485	228	5	bidirectional	bidirectional	ADJ
fumecheng-11485	228	6	mapping	mapping	NOUN
fumecheng-11485	228	7	generative	generative	ADJ
fumecheng-11485	228	8	adversarial	adversarial	ADJ
fumecheng-11485	228	9	networks	network	NOUN
fumecheng-11485	228	10	for	for	ADP
fumecheng-11485	228	11	brain	brain	NOUN
fumecheng-11485	228	12	mr	mr	PROPN
fumecheng-11485	228	13	to	to	ADP
fumecheng-11485	228	14	pet	pet	VERB
fumecheng-11485	228	15	synthesis	synthesis	NOUN
fumecheng-11485	228	16	,	,	PUNCT
fumecheng-11485	228	17	ieee	ieee	NOUN
fumecheng-11485	228	18	transactions	transaction	NOUN
fumecheng-11485	228	19	on	on	ADP
fumecheng-11485	228	20	medical	medical	ADJ
fumecheng-11485	228	21	imaging	imaging	NOUN
fumecheng-11485	228	22	,	,	PUNCT
fumecheng-11485	228	23	41(1	41(1	NUM
fumecheng-11485	228	24	)	)	PUNCT
fumecheng-11485	228	25	,	,	PUNCT
fumecheng-11485	228	26	pp	pp	PROPN
fumecheng-11485	228	27	.	.	PUNCT
fumecheng-11485	229	1	145	145	NUM
fumecheng-11485	229	2	-	-	SYM
fumecheng-11485	229	3	157	157	NUM
fumecheng-11485	229	4	.	.	PUNCT
fumecheng-11485	230	1	32	32	NUM
fumecheng-11485	230	2	.	.	X
fumecheng-11485	231	1	yu	yu	PROPN
fumecheng-11485	231	2	,	,	PUNCT
fumecheng-11485	231	3	w.	w.	PROPN
fumecheng-11485	231	4	,	,	PUNCT
fumecheng-11485	231	5	lei	lei	PROPN
fumecheng-11485	231	6	,	,	PUNCT
fumecheng-11485	231	7	b.y	b.y	PROPN
fumecheng-11485	231	8	.	.	PROPN
fumecheng-11485	231	9	,	,	PUNCT
fumecheng-11485	231	10	shen	shen	PROPN
fumecheng-11485	231	11	,	,	PUNCT
fumecheng-11485	231	12	y.y	y.y	PROPN
fumecheng-11485	231	13	.	.	PROPN
fumecheng-11485	231	14	,	,	PUNCT
fumecheng-11485	231	15	et	et	PROPN
fumecheng-11485	231	16	.	.	PUNCT
fumecheng-11485	232	1	al	al	PROPN
fumecheng-11485	232	2	,	,	PUNCT
fumecheng-11485	232	3	2021	2021	NUM
fumecheng-11485	232	4	,	,	PUNCT
fumecheng-11485	232	5	morphological	morphological	ADJ
fumecheng-11485	232	6	feature	feature	NOUN
fumecheng-11485	232	7	visualization	visualization	NOUN
fumecheng-11485	232	8	of	of	ADP
fumecheng-11485	232	9	alzheimer	alzheimer	PROPN
fumecheng-11485	232	10	's	's	PART
fumecheng-11485	232	11	disease	disease	NOUN
fumecheng-11485	232	12	via	via	ADP
fumecheng-11485	232	13	multidirectional	multidirectional	ADJ
fumecheng-11485	232	14	perception	perception	NOUN
fumecheng-11485	232	15	gan	gan	NOUN
fumecheng-11485	232	16	,	,	PUNCT
fumecheng-11485	232	17	ieee	ieee	NOUN
fumecheng-11485	232	18	transactions	transaction	NOUN
fumecheng-11485	232	19	on	on	ADP
fumecheng-11485	232	20	neural	neural	ADJ
fumecheng-11485	232	21	networks	network	NOUN
fumecheng-11485	232	22	and	and	CCONJ
fumecheng-11485	232	23	learning	learning	NOUN
fumecheng-11485	232	24	systems	system	NOUN
fumecheng-11485	232	25	,	,	PUNCT
fumecheng-11485	232	26	doi	doi	NOUN
fumecheng-11485	232	27	:	:	PUNCT
fumecheng-11485	232	28	10.1109	10.1109	NUM
fumecheng-11485	232	29	/	/	SYM
fumecheng-11485	232	30	tnnls.2021.3118369	tnnls.2021.3118369	DET
fumecheng-11485	232	31	33	33	NUM
fumecheng-11485	232	32	.	.	PUNCT
fumecheng-11485	233	1	hu	hu	PROPN
fumecheng-11485	233	2	,	,	PUNCT
fumecheng-11485	233	3	s.y	s.y	PROPN
fumecheng-11485	233	4	.	.	PROPN
fumecheng-11485	233	5	,	,	PUNCT
fumecheng-11485	233	6	yu	yu	PROPN
fumecheng-11485	233	7	,	,	PUNCT
fumecheng-11485	233	8	w.	w.	PROPN
fumecheng-11485	233	9	,	,	PUNCT
fumecheng-11485	233	10	chen	chen	PROPN
fumecheng-11485	233	11	,	,	PUNCT
fumecheng-11485	233	12	z.	z.	PROPN
fumecheng-11485	233	13	,	,	PUNCT
fumecheng-11485	233	14	et	et	PROPN
fumecheng-11485	233	15	al	al	PROPN
fumecheng-11485	233	16	.	.	PROPN
fumecheng-11485	233	17	,	,	PUNCT
fumecheng-11485	233	18	2020	2020	NUM
fumecheng-11485	233	19	,	,	PUNCT
fumecheng-11485	233	20	medical	medical	ADJ
fumecheng-11485	233	21	image	image	NOUN
fumecheng-11485	233	22	reconstruction	reconstruction	NOUN
fumecheng-11485	233	23	using	use	VERB
fumecheng-11485	233	24	generative	generative	ADJ
fumecheng-11485	233	25	adversarial	adversarial	ADJ
fumecheng-11485	233	26	network	network	NOUN
fumecheng-11485	233	27	for	for	ADP
fumecheng-11485	233	28	alzheimer	alzheimer	PROPN
fumecheng-11485	233	29	disease	disease	PROPN
fumecheng-11485	233	30	assessment	assessment	NOUN
fumecheng-11485	233	31	with	with	ADP
fumecheng-11485	233	32	class	class	NOUN
fumecheng-11485	233	33	-	-	PUNCT
fumecheng-11485	233	34	imbalance	imbalance	NOUN
fumecheng-11485	233	35	problem	problem	NOUN
fumecheng-11485	233	36	,	,	PUNCT
fumecheng-11485	233	37	ieee	ieee	NOUN
fumecheng-11485	233	38	6th	6th	ADJ
fumecheng-11485	233	39	international	international	ADJ
fumecheng-11485	233	40	conference	conference	NOUN
fumecheng-11485	233	41	on	on	ADP
fumecheng-11485	233	42	computer	computer	NOUN
fumecheng-11485	233	43	and	and	CCONJ
fumecheng-11485	233	44	communications	communication	NOUN
fumecheng-11485	233	45	(	(	PUNCT
fumecheng-11485	233	46	iccc	iccc	PROPN
fumecheng-11485	233	47	)	)	PUNCT
fumecheng-11485	233	48	,	,	PUNCT
fumecheng-11485	233	49	doi	doi	NOUN
fumecheng-11485	233	50	:	:	PUNCT
fumecheng-11485	233	51	10.1109	10.1109	NUM
fumecheng-11485	233	52	/	/	SYM
fumecheng-11485	233	53	iccc51575.2020.9344912	iccc51575.2020.9344912	PROPN
fumecheng-11485	233	54	34	34	NUM
fumecheng-11485	233	55	.	.	PUNCT
fumecheng-11485	234	1	machina	machina	PROPN
fumecheng-11485	234	2	,	,	PUNCT
fumecheng-11485	234	3	a.	a.	PROPN
fumecheng-11485	234	4	,	,	PUNCT
fumecheng-11485	234	5	edwards	edwards	PROPN
fumecheng-11485	234	6	,	,	PUNCT
fumecheng-11485	234	7	r.	r.	PROPN
fumecheng-11485	234	8	,	,	PUNCT
fumecheng-11485	234	9	van	van	PROPN
fumecheng-11485	234	10	den	den	PROPN
fumecheng-11485	234	11	driessche	driessche	PROPN
fumecheng-11485	234	12	,	,	PUNCT
fumecheng-11485	234	13	p.	p.	NOUN
fumecheng-11485	234	14	,	,	PUNCT
fumecheng-11485	234	15	2013	2013	NUM
fumecheng-11485	234	16	,	,	PUNCT
fumecheng-11485	234	17	sensitive	sensitive	ADJ
fumecheng-11485	234	18	dependence	dependence	NOUN
fumecheng-11485	234	19	on	on	ADP
fumecheng-11485	234	20	initial	initial	ADJ
fumecheng-11485	234	21	conditions	condition	NOUN
fumecheng-11485	234	22	in	in	ADP
fumecheng-11485	234	23	gene	gene	NOUN
fumecheng-11485	234	24	networks	network	NOUN
fumecheng-11485	234	25	,	,	PUNCT
fumecheng-11485	234	26	chaos	chaos	NOUN
fumecheng-11485	234	27	,	,	PUNCT
fumecheng-11485	234	28	23(2	23(2	NOUN
fumecheng-11485	234	29	)	)	PUNCT
fumecheng-11485	234	30	,	,	PUNCT
fumecheng-11485	234	31	025101	025101	NUM
fumecheng-11485	234	32	.	.	PUNCT
fumecheng-11485	235	1	35	35	NUM
fumecheng-11485	235	2	.	.	PUNCT
fumecheng-11485	236	1	el	el	PROPN
fumecheng-11485	236	2	-	-	PUNCT
fumecheng-11485	236	3	dib	dib	PROPN
fumecheng-11485	236	4	,	,	PUNCT
fumecheng-11485	236	5	y.	y.	PROPN
fumecheng-11485	236	6	o.	o.	PROPN
fumecheng-11485	236	7	,	,	PUNCT
fumecheng-11485	236	8	elgazery	elgazery	PROPN
fumecheng-11485	236	9	,	,	PUNCT
fumecheng-11485	236	10	n.	n.	PROPN
fumecheng-11485	236	11	s.	s.	PROPN
fumecheng-11485	236	12	,	,	PUNCT
fumecheng-11485	236	13	mady	mady	PROPN
fumecheng-11485	236	14	,	,	PUNCT
fumecheng-11485	236	15	a.	a.	NOUN
fumecheng-11485	236	16	a.	a.	PROPN
fumecheng-11485	236	17	,	,	PUNCT
fumecheng-11485	236	18	alyousef	alyousef	ADJ
fumecheng-11485	236	19	,	,	PUNCT
fumecheng-11485	236	20	h.a	h.a	PROPN
fumecheng-11485	236	21	.	.	PROPN
fumecheng-11485	236	22	,	,	PUNCT
fumecheng-11485	236	23	2022	2022	NUM
fumecheng-11485	236	24	,	,	PUNCT
fumecheng-11485	236	25	on	on	ADP
fumecheng-11485	236	26	the	the	DET
fumecheng-11485	236	27	modeling	modeling	NOUN
fumecheng-11485	236	28	of	of	ADP
fumecheng-11485	236	29	a	a	DET
fumecheng-11485	236	30	parametric	parametric	ADJ
fumecheng-11485	236	31	cubic	cubic	ADJ
fumecheng-11485	236	32	–	–	PUNCT
fumecheng-11485	236	33	quintic	quintic	ADJ
fumecheng-11485	236	34	nonconservative	nonconservative	ADJ
fumecheng-11485	236	35	duffing	duffing	NOUN
fumecheng-11485	236	36	oscillator	oscillator	NOUN
fumecheng-11485	236	37	via	via	ADP
fumecheng-11485	236	38	the	the	DET
fumecheng-11485	236	39	modified	modify	VERB
fumecheng-11485	236	40	homotopy	homotopy	NOUN
fumecheng-11485	236	41	perturbation	perturbation	NOUN
fumecheng-11485	236	42	method	method	NOUN
fumecheng-11485	236	43	,	,	PUNCT
fumecheng-11485	236	44	zeitschrift	zeitschrift	PROPN
fumecheng-11485	236	45	für	für	PROPN
fumecheng-11485	236	46	naturforschung	naturforschung	PROPN
fumecheng-11485	236	47	a	a	DET
fumecheng-11485	236	48	,	,	PUNCT
fumecheng-11485	236	49	77(5	77(5	NOUN
fumecheng-11485	236	50	)	)	PUNCT
fumecheng-11485	236	51	,	,	PUNCT
fumecheng-11485	236	52	pp	pp	ADJ
fumecheng-11485	236	53	.	.	PUNCT
fumecheng-11485	237	1	475	475	NUM
fumecheng-11485	237	2	-	-	SYM
fumecheng-11485	237	3	486	486	NUM
fumecheng-11485	237	4	.	.	PUNCT
fumecheng-11485	238	1	36	36	NUM
fumecheng-11485	238	2	.	.	PUNCT
fumecheng-11485	239	1	vahidi	vahidi	PROPN
fumecheng-11485	239	2	,	,	PUNCT
fumecheng-11485	239	3	a.r	a.r	PROPN
fumecheng-11485	239	4	.	.	PROPN
fumecheng-11485	239	5	,	,	PUNCT
fumecheng-11485	239	6	babolian	babolian	PROPN
fumecheng-11485	239	7	,	,	PUNCT
fumecheng-11485	239	8	e.	e.	PROPN
fumecheng-11485	239	9	,	,	PUNCT
fumecheng-11485	239	10	azimzadeh	azimzadeh	PROPN
fumecheng-11485	239	11	,	,	PUNCT
fumecheng-11485	239	12	z.	z.	PROPN
fumecheng-11485	239	13	,	,	PUNCT
fumecheng-11485	239	14	2018	2018	NUM
fumecheng-11485	239	15	,	,	PUNCT
fumecheng-11485	239	16	an	an	DET
fumecheng-11485	239	17	improvement	improvement	NOUN
fumecheng-11485	239	18	to	to	ADP
fumecheng-11485	239	19	the	the	DET
fumecheng-11485	239	20	homotopy	homotopy	NOUN
fumecheng-11485	239	21	perturbation	perturbation	NOUN
fumecheng-11485	239	22	method	method	NOUN
fumecheng-11485	239	23	for	for	ADP
fumecheng-11485	239	24	solving	solve	VERB
fumecheng-11485	239	25	nonlinear	nonlinear	ADJ
fumecheng-11485	239	26	duffing	duffing	NOUN
fumecheng-11485	239	27	's	's	PART
fumecheng-11485	239	28	equations	equation	NOUN
fumecheng-11485	239	29	,	,	PUNCT
fumecheng-11485	239	30	bulletin	bulletin	NOUN
fumecheng-11485	239	31	of	of	ADP
fumecheng-11485	239	32	the	the	DET
fumecheng-11485	239	33	malaysian	malaysian	PROPN
fumecheng-11485	239	34	mathematical	mathematical	PROPN
fumecheng-11485	239	35	sciences	sciences	PROPN
fumecheng-11485	239	36	society	society	NOUN
fumecheng-11485	239	37	,	,	PUNCT
fumecheng-11485	239	38	41(2	41(2	NUM
fumecheng-11485	239	39	)	)	PUNCT
fumecheng-11485	239	40	,	,	PUNCT
fumecheng-11485	239	41	pp	pp	ADJ
fumecheng-11485	239	42	.	.	PUNCT
fumecheng-11485	240	1	1105	1105	NUM
fumecheng-11485	240	2	-	-	SYM
fumecheng-11485	240	3	1117	1117	NUM
fumecheng-11485	240	4	.	.	PUNCT
fumecheng-11485	241	1	37	37	NUM
fumecheng-11485	241	2	.	.	PUNCT
fumecheng-11485	242	1	azimzadeh	azimzadeh	PROPN
fumecheng-11485	242	2	,	,	PUNCT
fumecheng-11485	242	3	z.	z.	PROPN
fumecheng-11485	242	4	,	,	PUNCT
fumecheng-11485	242	5	vahidi	vahidi	PROPN
fumecheng-11485	242	6	,	,	PUNCT
fumecheng-11485	242	7	a.r	a.r	PROPN
fumecheng-11485	242	8	.	.	PROPN
fumecheng-11485	242	9	,	,	PUNCT
fumecheng-11485	242	10	babolian	babolian	PROPN
fumecheng-11485	242	11	,	,	PUNCT
fumecheng-11485	242	12	e.	e.	PROPN
fumecheng-11485	242	13	,	,	PUNCT
fumecheng-11485	242	14	2012	2012	NUM
fumecheng-11485	242	15	,	,	PUNCT
fumecheng-11485	242	16	exact	exact	ADJ
fumecheng-11485	242	17	solutions	solution	NOUN
fumecheng-11485	242	18	for	for	ADP
fumecheng-11485	242	19	non	non	ADJ
fumecheng-11485	242	20	-	-	ADJ
fumecheng-11485	242	21	linear	linear	ADJ
fumecheng-11485	242	22	duffing	duffing	NOUN
fumecheng-11485	242	23	's	's	PART
fumecheng-11485	242	24	equations	equation	NOUN
fumecheng-11485	242	25	by	by	ADP
fumecheng-11485	242	26	he	he	PRON
fumecheng-11485	242	27	's	's	PART
fumecheng-11485	242	28	homotopy	homotopy	NOUN
fumecheng-11485	242	29	perturbation	perturbation	NOUN
fumecheng-11485	242	30	method	method	NOUN
fumecheng-11485	242	31	,	,	PUNCT
fumecheng-11485	242	32	indian	indian	ADJ
fumecheng-11485	242	33	journal	journal	PROPN
fumecheng-11485	242	34	of	of	ADP
fumecheng-11485	242	35	physics	physics	PROPN
fumecheng-11485	242	36	,	,	PUNCT
fumecheng-11485	242	37	86(8	86(8	NUM
fumecheng-11485	242	38	)	)	PUNCT
fumecheng-11485	242	39	,	,	PUNCT
fumecheng-11485	242	40	pp	pp	ADP
fumecheng-11485	242	41	.	.	PUNCT
fumecheng-11485	243	1	721	721	NUM
fumecheng-11485	243	2	-	-	SYM
fumecheng-11485	243	3	726	726	NUM
fumecheng-11485	243	4	.	.	PUNCT
fumecheng-11485	244	1	a	a	DET
fumecheng-11485	244	2	good	good	ADJ
fumecheng-11485	244	3	initial	initial	ADJ
fumecheng-11485	244	4	guess	guess	NOUN
fumecheng-11485	244	5	for	for	ADP
fumecheng-11485	244	6	approximating	approximate	VERB
fumecheng-11485	244	7	nonlinear	nonlinear	ADJ
fumecheng-11485	244	8	oscillators	oscillator	NOUN
fumecheng-11485	244	9	by	by	ADP
fumecheng-11485	244	10	the	the	DET
fumecheng-11485	244	11	homotopy	homotopy	NOUN
fumecheng-11485	244	12	perturbation	perturbation	NOUN
fumecheng-11485	244	13	method	method	NOUN
fumecheng-11485	244	14	29	29	NUM
fumecheng-11485	244	15	38	38	NUM
fumecheng-11485	244	16	.	.	PUNCT
fumecheng-11485	245	1	el	el	PROPN
fumecheng-11485	245	2	-	-	PUNCT
fumecheng-11485	245	3	dib	dib	PROPN
fumecheng-11485	245	4	,	,	PUNCT
fumecheng-11485	245	5	y.o	y.o	PROPN
fumecheng-11485	245	6	.	.	PROPN
fumecheng-11485	245	7	,	,	PUNCT
fumecheng-11485	245	8	2023	2023	NUM
fumecheng-11485	245	9	,	,	PUNCT
fumecheng-11485	245	10	properties	property	NOUN
fumecheng-11485	245	11	of	of	ADP
fumecheng-11485	245	12	complex	complex	ADJ
fumecheng-11485	245	13	damping	damp	VERB
fumecheng-11485	245	14	helmholtz	helmholtz	NOUN
fumecheng-11485	245	15	-	-	PUNCT
fumecheng-11485	245	16	duffing	duffing	NOUN
fumecheng-11485	245	17	oscillator	oscillator	NOUN
fumecheng-11485	245	18	arising	arise	VERB
fumecheng-11485	245	19	in	in	ADP
fumecheng-11485	245	20	fluid	fluid	ADJ
fumecheng-11485	245	21	mechanics	mechanic	NOUN
fumecheng-11485	245	22	,	,	PUNCT
fumecheng-11485	245	23	journal	journal	NOUN
fumecheng-11485	245	24	of	of	ADP
fumecheng-11485	245	25	low	low	ADJ
fumecheng-11485	245	26	frequency	frequency	NOUN
fumecheng-11485	245	27	noise	noise	NOUN
fumecheng-11485	245	28	,	,	PUNCT
fumecheng-11485	245	29	vibration	vibration	NOUN
fumecheng-11485	245	30	and	and	CCONJ
fumecheng-11485	245	31	active	active	ADJ
fumecheng-11485	245	32	control	control	NOUN
fumecheng-11485	245	33	,	,	PUNCT
fumecheng-11485	245	34	doi	doi	NOUN
fumecheng-11485	245	35	:	:	PUNCT
fumecheng-11485	245	36	10.1177/14613484221138560	10.1177/14613484221138560	NUM
fumecheng-11485	245	37	39	39	NUM
fumecheng-11485	245	38	.	.	PUNCT
fumecheng-11485	246	1	aljahdaly	aljahdaly	PROPN
fumecheng-11485	246	2	,	,	PUNCT
fumecheng-11485	246	3	n.h	n.h	PROPN
fumecheng-11485	246	4	.	.	PROPN
fumecheng-11485	246	5	,	,	PUNCT
fumecheng-11485	246	6	alharbi	alharbi	PROPN
fumecheng-11485	246	7	,	,	PUNCT
fumecheng-11485	246	8	m.a	m.a	PROPN
fumecheng-11485	246	9	.	.	PROPN
fumecheng-11485	246	10	,	,	PUNCT
fumecheng-11485	246	11	2022	2022	NUM
fumecheng-11485	246	12	,	,	PUNCT
fumecheng-11485	246	13	semi	semi	ADJ
fumecheng-11485	246	14	-	-	ADJ
fumecheng-11485	246	15	analytical	analytical	ADJ
fumecheng-11485	246	16	solution	solution	NOUN
fumecheng-11485	246	17	of	of	ADP
fumecheng-11485	246	18	non	non	ADJ
fumecheng-11485	246	19	-	-	ADJ
fumecheng-11485	246	20	homogeneous	homogeneous	ADJ
fumecheng-11485	246	21	duffing	duffing	NOUN
fumecheng-11485	246	22	oscillator	oscillator	NOUN
fumecheng-11485	246	23	equation	equation	NOUN
fumecheng-11485	246	24	by	by	ADP
fumecheng-11485	246	25	the	the	DET
fumecheng-11485	246	26	pade	pade	PROPN
fumecheng-11485	246	27	differential	differential	PROPN
fumecheng-11485	246	28	transformation	transformation	NOUN
fumecheng-11485	246	29	algorithm	algorithm	NOUN
fumecheng-11485	246	30	,	,	PUNCT
fumecheng-11485	246	31	journal	journal	NOUN
fumecheng-11485	246	32	of	of	ADP
fumecheng-11485	246	33	low	low	ADJ
fumecheng-11485	246	34	frequency	frequency	NOUN
fumecheng-11485	246	35	noise	noise	NOUN
fumecheng-11485	246	36	,	,	PUNCT
fumecheng-11485	246	37	vibration	vibration	NOUN
fumecheng-11485	246	38	and	and	CCONJ
fumecheng-11485	246	39	active	active	ADJ
fumecheng-11485	246	40	control	control	NOUN
fumecheng-11485	246	41	,	,	PUNCT
fumecheng-11485	246	42	41(4	41(4	NUM
fumecheng-11485	246	43	)	)	PUNCT
fumecheng-11485	246	44	,	,	PUNCT
fumecheng-11485	246	45	pp.1454	pp.1454	PROPN
fumecheng-11485	246	46	-	-	PUNCT
fumecheng-11485	246	47	1465	1465	NUM
fumecheng-11485	246	48	.	.	PUNCT
fumecheng-11485	247	1	40	40	NUM
fumecheng-11485	247	2	.	.	PUNCT
fumecheng-11485	248	1	belendez	belendez	PROPN
fumecheng-11485	248	2	,	,	PUNCT
fumecheng-11485	248	3	t.	t.	PROPN
fumecheng-11485	248	4	,	,	PUNCT
fumecheng-11485	248	5	belendez	belendez	NOUN
fumecheng-11485	248	6	,	,	PUNCT
fumecheng-11485	248	7	f.j	f.j	PROPN
fumecheng-11485	248	8	.	.	PROPN
fumecheng-11485	248	9	,	,	PUNCT
fumecheng-11485	248	10	martinez	martinez	PROPN
fumecheng-11485	248	11	,	,	PUNCT
fumecheng-11485	248	12	c.	c.	PROPN
fumecheng-11485	248	13	,	,	PUNCT
fumecheng-11485	248	14	et	et	PROPN
fumecheng-11485	248	15	al	al	PROPN
fumecheng-11485	248	16	.	.	PROPN
fumecheng-11485	248	17	,	,	PUNCT
fumecheng-11485	248	18	2016	2016	NUM
fumecheng-11485	248	19	,	,	PUNCT
fumecheng-11485	248	20	exact	exact	ADJ
fumecheng-11485	248	21	solution	solution	NOUN
fumecheng-11485	248	22	for	for	ADP
fumecheng-11485	248	23	the	the	DET
fumecheng-11485	248	24	unforced	unforced	ADJ
fumecheng-11485	248	25	duffing	duffing	NOUN
fumecheng-11485	248	26	oscillator	oscillator	NOUN
fumecheng-11485	248	27	with	with	ADP
fumecheng-11485	248	28	cubic	cubic	ADJ
fumecheng-11485	248	29	and	and	CCONJ
fumecheng-11485	248	30	quintic	quintic	ADJ
fumecheng-11485	248	31	nonlinearities	nonlinearitie	NOUN
fumecheng-11485	248	32	,	,	PUNCT
fumecheng-11485	248	33	nonlinear	nonlinear	ADJ
fumecheng-11485	248	34	dynamics	dynamic	NOUN
fumecheng-11485	248	35	,	,	PUNCT
fumecheng-11485	248	36	86(3	86(3	PROPN
fumecheng-11485	248	37	)	)	PUNCT
fumecheng-11485	248	38	,	,	PUNCT
fumecheng-11485	248	39	pp	pp	PROPN
fumecheng-11485	248	40	.	.	PUNCT
fumecheng-11485	249	1	1687–1700	1687–1700	NUM
fumecheng-11485	249	2	,	,	PUNCT
fumecheng-11485	249	3	41	41	NUM
fumecheng-11485	249	4	.	.	PUNCT
fumecheng-11485	250	1	aljahdaly	aljahdaly	PROPN
fumecheng-11485	250	2	,	,	PUNCT
fumecheng-11485	250	3	n.h	n.h	PROPN
fumecheng-11485	250	4	.	.	PROPN
fumecheng-11485	250	5	,	,	PUNCT
fumecheng-11485	250	6	shah	shah	PROPN
fumecheng-11485	250	7	,	,	PUNCT
fumecheng-11485	250	8	r.s	r.s	PROPN
fumecheng-11485	250	9	.	.	PROPN
fumecheng-11485	250	10	,	,	PUNCT
fumecheng-11485	250	11	naeem	naeem	PROPN
fumecheng-11485	250	12	,	,	PUNCT
fumecheng-11485	250	13	m.	m.	NOUN
fumecheng-11485	250	14	,	,	PUNCT
fumecheng-11485	250	15	arefin	arefin	NOUN
fumecheng-11485	250	16	,	,	PUNCT
fumecheng-11485	250	17	m.a	m.a	PROPN
fumecheng-11485	250	18	.	.	PROPN
fumecheng-11485	250	19	,	,	PUNCT
fumecheng-11485	250	20	2022	2022	NUM
fumecheng-11485	250	21	,	,	PUNCT
fumecheng-11485	250	22	a	a	DET
fumecheng-11485	250	23	comparative	comparative	ADJ
fumecheng-11485	250	24	analysis	analysis	NOUN
fumecheng-11485	250	25	of	of	ADP
fumecheng-11485	250	26	fractional	fractional	ADJ
fumecheng-11485	250	27	space	space	NOUN
fumecheng-11485	250	28	-	-	PUNCT
fumecheng-11485	250	29	time	time	NOUN
fumecheng-11485	250	30	advection	advection	NOUN
fumecheng-11485	250	31	-	-	PUNCT
fumecheng-11485	250	32	dispersion	dispersion	NOUN
fumecheng-11485	250	33	equation	equation	NOUN
fumecheng-11485	250	34	via	via	ADP
fumecheng-11485	250	35	semi	semi	ADJ
fumecheng-11485	250	36	-	-	ADJ
fumecheng-11485	250	37	analytical	analytical	ADJ
fumecheng-11485	250	38	methods	method	NOUN
fumecheng-11485	250	39	,	,	PUNCT
fumecheng-11485	250	40	journal	journal	NOUN
fumecheng-11485	250	41	of	of	ADP
fumecheng-11485	250	42	function	function	NOUN
fumecheng-11485	250	43	spaces	space	NOUN
fumecheng-11485	250	44	,	,	PUNCT
fumecheng-11485	250	45	2022	2022	NUM
fumecheng-11485	250	46	,	,	PUNCT
fumecheng-11485	250	47	4856002	4856002	NUM
fumecheng-11485	250	48	,	,	PUNCT
fumecheng-11485	250	49	doi:10.1155/2022/4856002	doi:10.1155/2022/4856002	PROPN
fumecheng-11485	250	50	42	42	NUM
fumecheng-11485	250	51	.	.	PUNCT
fumecheng-11485	251	1	dubey	dubey	PROPN
fumecheng-11485	251	2	,	,	PUNCT
fumecheng-11485	251	3	v.p	v.p	PROPN
fumecheng-11485	251	4	.	.	PROPN
fumecheng-11485	251	5	,	,	PUNCT
fumecheng-11485	251	6	kumar	kumar	PROPN
fumecheng-11485	251	7	,	,	PUNCT
fumecheng-11485	251	8	d.	d.	PROPN
fumecheng-11485	251	9	,	,	PUNCT
fumecheng-11485	251	10	singh	singh	PROPN
fumecheng-11485	251	11	,	,	PUNCT
fumecheng-11485	251	12	j.	j.	PROPN
fumecheng-11485	251	13	,	,	PUNCT
fumecheng-11485	251	14	alshehri	alshehri	PROPN
fumecheng-11485	251	15	,	,	PUNCT
fumecheng-11485	251	16	a.m.	a.m.	ADV
fumecheng-11485	251	17	,	,	PUNCT
fumecheng-11485	251	18	dubey	dubey	PROPN
fumecheng-11485	251	19	,	,	PUNCT
fumecheng-11485	251	20	s.	s.	PROPN
fumecheng-11485	251	21	,	,	PUNCT
fumecheng-11485	251	22	2022	2022	NUM
fumecheng-11485	251	23	,	,	PUNCT
fumecheng-11485	251	24	analysis	analysis	NOUN
fumecheng-11485	251	25	of	of	ADP
fumecheng-11485	251	26	local	local	ADJ
fumecheng-11485	251	27	fractional	fractional	PROPN
fumecheng-11485	251	28	klein	klein	PROPN
fumecheng-11485	251	29	-	-	PUNCT
fumecheng-11485	251	30	gordon	gordon	PROPN
fumecheng-11485	251	31	equations	equation	NOUN
fumecheng-11485	251	32	arising	arise	VERB
fumecheng-11485	251	33	in	in	ADP
fumecheng-11485	251	34	relativistic	relativistic	ADJ
fumecheng-11485	251	35	fractal	fractal	ADJ
fumecheng-11485	251	36	quantum	quantum	NOUN
fumecheng-11485	251	37	mechanics	mechanic	NOUN
fumecheng-11485	251	38	,	,	PUNCT
fumecheng-11485	251	39	waves	wave	NOUN
fumecheng-11485	251	40	in	in	ADP
fumecheng-11485	251	41	random	random	ADJ
fumecheng-11485	251	42	and	and	CCONJ
fumecheng-11485	251	43	complex	complex	ADJ
fumecheng-11485	251	44	media	medium	NOUN
fumecheng-11485	251	45	,	,	PUNCT
fumecheng-11485	251	46	2022	2022	NUM
fumecheng-11485	251	47	,	,	PUNCT
fumecheng-11485	251	48	doi:10.1080/17455030.2022.2112993	doi:10.1080/17455030.2022.2112993	PROPN
fumecheng-11485	251	49	43	43	NUM
fumecheng-11485	251	50	.	.	PUNCT
fumecheng-11485	252	1	qie	qie	PROPN
fumecheng-11485	252	2	,	,	PUNCT
fumecheng-11485	252	3	n.	n.	NOUN
fumecheng-11485	252	4	,	,	PUNCT
fumecheng-11485	252	5	houa	houa	ADJ
fumecheng-11485	252	6	,	,	PUNCT
fumecheng-11485	252	7	w.-f	w.-f	PROPN
fumecheng-11485	252	8	.	.	PUNCT
fumecheng-11485	252	9	,	,	PUNCT
fumecheng-11485	252	10	he	he	PRON
fumecheng-11485	252	11	,	,	PUNCT
fumecheng-11485	252	12	j.-h	j.-h	PROPN
fumecheng-11485	252	13	.	.	PUNCT
fumecheng-11485	252	14	,	,	PUNCT
fumecheng-11485	252	15	2021	2021	NUM
fumecheng-11485	252	16	,	,	PUNCT
fumecheng-11485	252	17	the	the	DET
fumecheng-11485	252	18	fastest	fast	ADJ
fumecheng-11485	252	19	insight	insight	NOUN
fumecheng-11485	252	20	into	into	ADP
fumecheng-11485	252	21	the	the	DET
fumecheng-11485	252	22	large	large	ADJ
fumecheng-11485	252	23	amplitude	amplitude	NOUN
fumecheng-11485	252	24	vibration	vibration	NOUN
fumecheng-11485	252	25	of	of	ADP
fumecheng-11485	252	26	a	a	DET
fumecheng-11485	252	27	string	string	NOUN
fumecheng-11485	252	28	,	,	PUNCT
fumecheng-11485	252	29	reports	report	NOUN
fumecheng-11485	252	30	in	in	ADP
fumecheng-11485	252	31	mechanical	mechanical	ADJ
fumecheng-11485	252	32	engineering	engineering	NOUN
fumecheng-11485	252	33	,	,	PUNCT
fumecheng-11485	252	34	2(1	2(1	NUM
fumecheng-11485	252	35	)	)	PUNCT
fumecheng-11485	252	36	,	,	PUNCT
fumecheng-11485	252	37	pp	pp	ADP
fumecheng-11485	252	38	.	.	PUNCT
fumecheng-11485	253	1	1	1	NUM
fumecheng-11485	253	2	-	-	SYM
fumecheng-11485	253	3	5	5	NUM
fumecheng-11485	253	4	.	.	NUM
fumecheng-11485	253	5	44	44	NUM
fumecheng-11485	253	6	.	.	PUNCT
fumecheng-11485	254	1	tian	tian	PROPN
fumecheng-11485	254	2	,	,	PUNCT
fumecheng-11485	254	3	y.	y.	NOUN
fumecheng-11485	254	4	,	,	PUNCT
fumecheng-11485	254	5	2022	2022	NUM
fumecheng-11485	254	6	,	,	PUNCT
fumecheng-11485	254	7	frequency	frequency	NOUN
fumecheng-11485	254	8	formula	formula	NOUN
fumecheng-11485	254	9	for	for	ADP
fumecheng-11485	254	10	a	a	DET
fumecheng-11485	254	11	class	class	NOUN
fumecheng-11485	254	12	of	of	ADP
fumecheng-11485	254	13	fractal	fractal	ADJ
fumecheng-11485	254	14	vibration	vibration	NOUN
fumecheng-11485	254	15	system	system	NOUN
fumecheng-11485	254	16	,	,	PUNCT
fumecheng-11485	254	17	reports	report	NOUN
fumecheng-11485	254	18	in	in	ADP
fumecheng-11485	254	19	mechanical	mechanical	ADJ
fumecheng-11485	254	20	engineering	engineering	NOUN
fumecheng-11485	254	21	,	,	PUNCT
fumecheng-11485	254	22	3(1	3(1	NUM
fumecheng-11485	254	23	)	)	PUNCT
fumecheng-11485	254	24	,	,	PUNCT
fumecheng-11485	254	25	pp	pp	ADP
fumecheng-11485	254	26	.	.	PUNCT
fumecheng-11485	255	1	55	55	NUM
fumecheng-11485	255	2	-	-	SYM
fumecheng-11485	255	3	61	61	NUM
fumecheng-11485	255	4	.	.	PUNCT