id	sid	tid	token	lemma	pos
ejpam-4930	1	1	european	european	PROPN
ejpam-4930	1	2	journal	journal	PROPN
ejpam-4930	1	3	of	of	ADP
ejpam-4930	1	4	pure	pure	ADJ
ejpam-4930	1	5	and	and	CCONJ
ejpam-4930	1	6	applied	apply	VERB
ejpam-4930	1	7	mathematics	mathematic	NOUN
ejpam-4930	1	8	vol	vol	NOUN
ejpam-4930	1	9	.	.	PUNCT
ejpam-4930	2	1	16	16	NUM
ejpam-4930	2	2	,	,	PUNCT
ejpam-4930	2	3	no	no	INTJ
ejpam-4930	2	4	.	.	NOUN
ejpam-4930	2	5	4	4	NUM
ejpam-4930	2	6	,	,	PUNCT
ejpam-4930	2	7	2023	2023	NUM
ejpam-4930	2	8	,	,	PUNCT
ejpam-4930	2	9	2729	2729	NUM
ejpam-4930	2	10	-	-	SYM
ejpam-4930	2	11	2750	2750	NUM
ejpam-4930	2	12	issn	issn	PROPN
ejpam-4930	2	13	1307	1307	NUM
ejpam-4930	2	14	-	-	SYM
ejpam-4930	2	15	5543	5543	NUM
ejpam-4930	2	16	–	–	PUNCT
ejpam-4930	2	17	ejpam.com	ejpam.com	X
ejpam-4930	2	18	published	publish	VERB
ejpam-4930	2	19	by	by	ADP
ejpam-4930	2	20	new	new	PROPN
ejpam-4930	2	21	york	york	PROPN
ejpam-4930	2	22	business	business	PROPN
ejpam-4930	2	23	global	global	ADJ
ejpam-4930	2	24	integral	integral	ADJ
ejpam-4930	2	25	resonant	resonant	ADJ
ejpam-4930	2	26	controller	controller	NOUN
ejpam-4930	2	27	for	for	ADP
ejpam-4930	2	28	suppressing	suppress	VERB
ejpam-4930	2	29	car	car	NOUN
ejpam-4930	2	30	’s	’s	PART
ejpam-4930	2	31	oscillations	oscillation	NOUN
ejpam-4930	2	32	and	and	CCONJ
ejpam-4930	2	33	eliminating	eliminate	VERB
ejpam-4930	2	34	its	its	PRON
ejpam-4930	2	35	inherent	inherent	ADJ
ejpam-4930	2	36	jump	jump	NOUN
ejpam-4930	2	37	phenomenon	phenomenon	NOUN
ejpam-4930	2	38	ali	ali	PROPN
ejpam-4930	2	39	kandil1,2,∗	kandil1,2,∗	PROPN
ejpam-4930	2	40	,	,	PUNCT
ejpam-4930	3	1	y.	y.	PROPN
ejpam-4930	3	2	s.	s.	PROPN
ejpam-4930	3	3	hamed3	hamed3	PROPN
ejpam-4930	3	4	1	1	NUM
ejpam-4930	3	5	department	department	NOUN
ejpam-4930	3	6	of	of	ADP
ejpam-4930	3	7	applied	applied	ADJ
ejpam-4930	3	8	and	and	CCONJ
ejpam-4930	3	9	computational	computational	ADJ
ejpam-4930	3	10	mathematics	mathematic	NOUN
ejpam-4930	3	11	,	,	PUNCT
ejpam-4930	3	12	institute	institute	NOUN
ejpam-4930	3	13	of	of	ADP
ejpam-4930	3	14	basic	basic	ADJ
ejpam-4930	3	15	and	and	CCONJ
ejpam-4930	3	16	applied	applied	ADJ
ejpam-4930	3	17	sciences	science	NOUN
ejpam-4930	3	18	,	,	PUNCT
ejpam-4930	3	19	egypt	egypt	PROPN
ejpam-4930	3	20	-	-	PUNCT
ejpam-4930	3	21	japan	japan	PROPN
ejpam-4930	3	22	university	university	PROPN
ejpam-4930	3	23	of	of	ADP
ejpam-4930	3	24	science	science	NOUN
ejpam-4930	3	25	and	and	CCONJ
ejpam-4930	3	26	technology	technology	NOUN
ejpam-4930	3	27	(	(	PUNCT
ejpam-4930	3	28	e	e	NOUN
ejpam-4930	3	29	-	-	NOUN
ejpam-4930	3	30	just	just	ADV
ejpam-4930	3	31	)	)	PUNCT
ejpam-4930	3	32	,	,	PUNCT
ejpam-4930	3	33	new	new	PROPN
ejpam-4930	3	34	borg	borg	PROPN
ejpam-4930	3	35	el	el	PROPN
ejpam-4930	3	36	-	-	PROPN
ejpam-4930	3	37	arab	arab	ADJ
ejpam-4930	3	38	21934	21934	NUM
ejpam-4930	3	39	,	,	PUNCT
ejpam-4930	3	40	alexandria	alexandria	PROPN
ejpam-4930	3	41	,	,	PUNCT
ejpam-4930	3	42	egypt	egypt	PROPN
ejpam-4930	3	43	2	2	NUM
ejpam-4930	3	44	department	department	NOUN
ejpam-4930	3	45	of	of	ADP
ejpam-4930	3	46	physics	physics	PROPN
ejpam-4930	3	47	and	and	CCONJ
ejpam-4930	3	48	engineering	engineering	NOUN
ejpam-4930	3	49	mathematics	mathematic	NOUN
ejpam-4930	3	50	,	,	PUNCT
ejpam-4930	3	51	faculty	faculty	NOUN
ejpam-4930	3	52	of	of	ADP
ejpam-4930	3	53	electronic	electronic	ADJ
ejpam-4930	3	54	engineering	engineering	NOUN
ejpam-4930	3	55	,	,	PUNCT
ejpam-4930	3	56	menoufia	menoufia	PROPN
ejpam-4930	3	57	university	university	PROPN
ejpam-4930	3	58	,	,	PUNCT
ejpam-4930	3	59	menouf	menouf	VERB
ejpam-4930	3	60	32952	32952	NUM
ejpam-4930	3	61	,	,	PUNCT
ejpam-4930	3	62	egypt	egypt	PROPN
ejpam-4930	3	63	3	3	NUM
ejpam-4930	3	64	department	department	NOUN
ejpam-4930	3	65	of	of	ADP
ejpam-4930	3	66	mathematics	mathematic	NOUN
ejpam-4930	3	67	and	and	CCONJ
ejpam-4930	3	68	statistics	statistic	NOUN
ejpam-4930	3	69	,	,	PUNCT
ejpam-4930	3	70	college	college	NOUN
ejpam-4930	3	71	of	of	ADP
ejpam-4930	3	72	science	science	PROPN
ejpam-4930	3	73	,	,	PUNCT
ejpam-4930	3	74	taif	taif	PROPN
ejpam-4930	3	75	university	university	PROPN
ejpam-4930	3	76	,	,	PUNCT
ejpam-4930	3	77	p.	p.	PROPN
ejpam-4930	3	78	o.	o.	PROPN
ejpam-4930	3	79	box	box	PROPN
ejpam-4930	3	80	11099	11099	NUM
ejpam-4930	3	81	,	,	PUNCT
ejpam-4930	3	82	taif	taif	PROPN
ejpam-4930	3	83	21944	21944	NUM
ejpam-4930	3	84	,	,	PUNCT
ejpam-4930	3	85	saudi	saudi	PROPN
ejpam-4930	3	86	arabia	arabia	PROPN
ejpam-4930	3	87	abstract	abstract	NOUN
ejpam-4930	3	88	.	.	PUNCT
ejpam-4930	4	1	this	this	DET
ejpam-4930	4	2	work	work	NOUN
ejpam-4930	4	3	deals	deal	VERB
ejpam-4930	4	4	with	with	ADP
ejpam-4930	4	5	modeling	modeling	NOUN
ejpam-4930	4	6	and	and	CCONJ
ejpam-4930	4	7	controlling	control	VERB
ejpam-4930	4	8	the	the	DET
ejpam-4930	4	9	oscillations	oscillation	NOUN
ejpam-4930	4	10	of	of	ADP
ejpam-4930	4	11	a	a	DET
ejpam-4930	4	12	horizontally	horizontally	ADV
ejpam-4930	4	13	-	-	PUNCT
ejpam-4930	4	14	supported	support	VERB
ejpam-4930	4	15	car	car	NOUN
ejpam-4930	4	16	under	under	ADP
ejpam-4930	4	17	the	the	DET
ejpam-4930	4	18	effect	effect	NOUN
ejpam-4930	4	19	of	of	ADP
ejpam-4930	4	20	a	a	DET
ejpam-4930	4	21	nonlinear	nonlinear	ADJ
ejpam-4930	4	22	spring	spring	NOUN
ejpam-4930	4	23	,	,	PUNCT
ejpam-4930	4	24	a	a	DET
ejpam-4930	4	25	damper	damper	NOUN
ejpam-4930	4	26	,	,	PUNCT
ejpam-4930	4	27	and	and	CCONJ
ejpam-4930	4	28	a	a	DET
ejpam-4930	4	29	harmonic	harmonic	ADJ
ejpam-4930	4	30	excitation	excitation	NOUN
ejpam-4930	4	31	external	external	ADJ
ejpam-4930	4	32	force	force	NOUN
ejpam-4930	4	33	.	.	PUNCT
ejpam-4930	5	1	the	the	DET
ejpam-4930	5	2	proposed	propose	VERB
ejpam-4930	5	3	controller	controller	NOUN
ejpam-4930	5	4	is	be	AUX
ejpam-4930	5	5	the	the	DET
ejpam-4930	5	6	integral	integral	ADJ
ejpam-4930	5	7	resonant	resonant	ADJ
ejpam-4930	5	8	controller	controller	NOUN
ejpam-4930	5	9	(	(	PUNCT
ejpam-4930	5	10	irc	irc	NOUN
ejpam-4930	5	11	)	)	PUNCT
ejpam-4930	5	12	which	which	PRON
ejpam-4930	5	13	is	be	AUX
ejpam-4930	5	14	a	a	DET
ejpam-4930	5	15	first	first	ADJ
ejpam-4930	5	16	order	order	NOUN
ejpam-4930	5	17	oscillator	oscillator	NOUN
ejpam-4930	5	18	coupled	couple	VERB
ejpam-4930	5	19	the	the	DET
ejpam-4930	5	20	car	car	NOUN
ejpam-4930	5	21	via	via	ADP
ejpam-4930	5	22	a	a	DET
ejpam-4930	5	23	linear	linear	ADJ
ejpam-4930	5	24	variable	variable	ADJ
ejpam-4930	5	25	differential	differential	NOUN
ejpam-4930	5	26	transformer	transformer	NOUN
ejpam-4930	5	27	(	(	PUNCT
ejpam-4930	5	28	lvdt	lvdt	PROPN
ejpam-4930	5	29	)	)	PUNCT
ejpam-4930	5	30	and	and	CCONJ
ejpam-4930	5	31	a	a	DET
ejpam-4930	5	32	servo	servo	NOUN
ejpam-4930	5	33	-	-	PUNCT
ejpam-4930	5	34	controlled	control	VERB
ejpam-4930	5	35	linear	linear	ADJ
ejpam-4930	5	36	actuator	actuator	NOUN
ejpam-4930	5	37	(	(	PUNCT
ejpam-4930	5	38	scla	scla	NOUN
ejpam-4930	5	39	)	)	PUNCT
ejpam-4930	5	40	.	.	PUNCT
ejpam-4930	6	1	the	the	DET
ejpam-4930	6	2	multiple	multiple	ADJ
ejpam-4930	6	3	scales	scale	VERB
ejpam-4930	6	4	perturbation	perturbation	NOUN
ejpam-4930	6	5	method	method	NOUN
ejpam-4930	6	6	is	be	AUX
ejpam-4930	6	7	used	use	VERB
ejpam-4930	6	8	to	to	PART
ejpam-4930	6	9	obtain	obtain	VERB
ejpam-4930	6	10	an	an	DET
ejpam-4930	6	11	approximate	approximate	ADJ
ejpam-4930	6	12	solution	solution	NOUN
ejpam-4930	6	13	and	and	CCONJ
ejpam-4930	6	14	stability	stability	NOUN
ejpam-4930	6	15	analyses	analysis	NOUN
ejpam-4930	6	16	are	be	AUX
ejpam-4930	6	17	carried	carry	VERB
ejpam-4930	6	18	out	out	ADP
ejpam-4930	6	19	.	.	PUNCT
ejpam-4930	7	1	based	base	VERB
ejpam-4930	7	2	on	on	ADP
ejpam-4930	7	3	the	the	DET
ejpam-4930	7	4	stability	stability	NOUN
ejpam-4930	7	5	analysis	analysis	NOUN
ejpam-4930	7	6	,	,	PUNCT
ejpam-4930	7	7	the	the	DET
ejpam-4930	7	8	optimum	optimum	ADJ
ejpam-4930	7	9	values	value	NOUN
ejpam-4930	7	10	of	of	ADP
ejpam-4930	7	11	the	the	DET
ejpam-4930	7	12	controller	controller	NOUN
ejpam-4930	7	13	parameters	parameter	NOUN
ejpam-4930	7	14	are	be	AUX
ejpam-4930	7	15	recommended	recommend	VERB
ejpam-4930	7	16	in	in	ADP
ejpam-4930	7	17	this	this	DET
ejpam-4930	7	18	work	work	NOUN
ejpam-4930	7	19	for	for	ADP
ejpam-4930	7	20	a	a	DET
ejpam-4930	7	21	better	well	ADJ
ejpam-4930	7	22	control	control	NOUN
ejpam-4930	7	23	operation	operation	NOUN
ejpam-4930	7	24	.	.	PUNCT
ejpam-4930	8	1	several	several	ADJ
ejpam-4930	8	2	response	response	NOUN
ejpam-4930	8	3	curves	curve	NOUN
ejpam-4930	8	4	are	be	AUX
ejpam-4930	8	5	plotted	plot	VERB
ejpam-4930	8	6	for	for	ADP
ejpam-4930	8	7	clarifying	clarify	VERB
ejpam-4930	8	8	the	the	DET
ejpam-4930	8	9	concept	concept	NOUN
ejpam-4930	8	10	of	of	ADP
ejpam-4930	8	11	the	the	DET
ejpam-4930	8	12	proposed	propose	VERB
ejpam-4930	8	13	integral	integral	ADJ
ejpam-4930	8	14	resonant	resonant	NOUN
ejpam-4930	8	15	control	control	NOUN
ejpam-4930	8	16	algorithm	algorithm	NOUN
ejpam-4930	8	17	.	.	PUNCT
ejpam-4930	9	1	a	a	DET
ejpam-4930	9	2	numerical	numerical	ADJ
ejpam-4930	9	3	simulation	simulation	NOUN
ejpam-4930	9	4	of	of	ADP
ejpam-4930	9	5	the	the	DET
ejpam-4930	9	6	car	car	NOUN
ejpam-4930	9	7	’s	’s	PART
ejpam-4930	9	8	motion	motion	NOUN
ejpam-4930	9	9	is	be	AUX
ejpam-4930	9	10	achieved	achieve	VERB
ejpam-4930	9	11	by	by	ADP
ejpam-4930	9	12	numerically	numerically	ADV
ejpam-4930	9	13	integrating	integrate	VERB
ejpam-4930	9	14	the	the	DET
ejpam-4930	9	15	model	model	NOUN
ejpam-4930	9	16	equations	equation	NOUN
ejpam-4930	9	17	with	with	ADP
ejpam-4930	9	18	the	the	DET
ejpam-4930	9	19	4th	4th	ADJ
ejpam-4930	9	20	order	order	NOUN
ejpam-4930	9	21	rung	rung	VERB
ejpam-4930	9	22	-	-	PUNCT
ejpam-4930	9	23	kutta	kutta	NOUN
ejpam-4930	9	24	algorithm	algorithm	NOUN
ejpam-4930	9	25	.	.	PUNCT
ejpam-4930	10	1	the	the	DET
ejpam-4930	10	2	applied	apply	VERB
ejpam-4930	10	3	controller	controller	NOUN
ejpam-4930	10	4	can	can	AUX
ejpam-4930	10	5	treat	treat	VERB
ejpam-4930	10	6	the	the	DET
ejpam-4930	10	7	severe	severe	ADJ
ejpam-4930	10	8	jumps	jump	NOUN
ejpam-4930	10	9	in	in	ADP
ejpam-4930	10	10	the	the	DET
ejpam-4930	10	11	oscillation	oscillation	NOUN
ejpam-4930	10	12	amplitude	amplitude	NOUN
ejpam-4930	10	13	where	where	SCONJ
ejpam-4930	10	14	it	it	PRON
ejpam-4930	10	15	is	be	AUX
ejpam-4930	10	16	suppressed	suppress	VERB
ejpam-4930	10	17	at	at	ADP
ejpam-4930	10	18	different	different	ADJ
ejpam-4930	10	19	conditions	condition	NOUN
ejpam-4930	10	20	of	of	ADP
ejpam-4930	10	21	forward	forward	ADV
ejpam-4930	10	22	and	and	CCONJ
ejpam-4930	10	23	backward	backward	ADJ
ejpam-4930	10	24	sweeping	sweeping	NOUN
ejpam-4930	10	25	of	of	ADP
ejpam-4930	10	26	the	the	DET
ejpam-4930	10	27	amplitude	amplitude	NOUN
ejpam-4930	10	28	and	and	CCONJ
ejpam-4930	10	29	frequency	frequency	NOUN
ejpam-4930	10	30	of	of	ADP
ejpam-4930	10	31	the	the	DET
ejpam-4930	10	32	external	external	ADJ
ejpam-4930	10	33	excitation	excitation	NOUN
ejpam-4930	10	34	force	force	NOUN
ejpam-4930	10	35	.	.	PUNCT
ejpam-4930	11	1	2020	2020	NUM
ejpam-4930	11	2	mathematics	mathematic	NOUN
ejpam-4930	11	3	subject	subject	NOUN
ejpam-4930	11	4	classifications	classification	NOUN
ejpam-4930	11	5	:	:	PUNCT
ejpam-4930	11	6	34a34	34a34	NUM
ejpam-4930	11	7	,	,	PUNCT
ejpam-4930	11	8	34c15	34c15	NUM
ejpam-4930	11	9	,	,	PUNCT
ejpam-4930	11	10	34c23	34c23	NUM
ejpam-4930	11	11	,	,	PUNCT
ejpam-4930	11	12	34c25	34c25	NUM
ejpam-4930	11	13	,	,	PUNCT
ejpam-4930	11	14	34d20	34d20	NUM
ejpam-4930	11	15	,	,	PUNCT
ejpam-4930	11	16	34e13	34e13	NUM
ejpam-4930	11	17	,	,	PUNCT
ejpam-4930	11	18	37n15	37n15	NUM
ejpam-4930	11	19	,	,	PUNCT
ejpam-4930	11	20	70b05	70b05	NUM
ejpam-4930	11	21	,	,	PUNCT
ejpam-4930	11	22	70k05	70k05	NUM
ejpam-4930	11	23	,	,	PUNCT
ejpam-4930	11	24	70k40	70k40	NUM
ejpam-4930	11	25	,	,	PUNCT
ejpam-4930	11	26	70k42	70k42	NUM
ejpam-4930	11	27	,	,	PUNCT
ejpam-4930	11	28	70k50	70k50	NUM
ejpam-4930	11	29	key	key	ADJ
ejpam-4930	11	30	words	word	NOUN
ejpam-4930	11	31	and	and	CCONJ
ejpam-4930	11	32	phrases	phrase	NOUN
ejpam-4930	11	33	:	:	PUNCT
ejpam-4930	11	34	multiple	multiple	ADJ
ejpam-4930	11	35	scales	scale	VERB
ejpam-4930	11	36	perturbation	perturbation	NOUN
ejpam-4930	11	37	technique	technique	NOUN
ejpam-4930	11	38	,	,	PUNCT
ejpam-4930	11	39	integral	integral	ADJ
ejpam-4930	11	40	resonant	resonant	ADJ
ejpam-4930	11	41	controller	controller	NOUN
ejpam-4930	11	42	,	,	PUNCT
ejpam-4930	11	43	jump	jump	VERB
ejpam-4930	11	44	phenomenon	phenomenon	NOUN
ejpam-4930	11	45	,	,	PUNCT
ejpam-4930	11	46	stability	stability	NOUN
ejpam-4930	11	47	analysis	analysis	NOUN
ejpam-4930	11	48	,	,	PUNCT
ejpam-4930	11	49	mass	mass	ADJ
ejpam-4930	11	50	-	-	PUNCT
ejpam-4930	11	51	damper	damper	NOUN
ejpam-4930	11	52	-	-	PUNCT
ejpam-4930	11	53	spring	spring	NOUN
ejpam-4930	11	54	1	1	NUM
ejpam-4930	11	55	.	.	PUNCT
ejpam-4930	11	56	introduction	introduction	NOUN
ejpam-4930	11	57	vibration	vibration	NOUN
ejpam-4930	11	58	control	control	NOUN
ejpam-4930	11	59	of	of	ADP
ejpam-4930	11	60	mechanical	mechanical	ADJ
ejpam-4930	11	61	systems	system	NOUN
ejpam-4930	11	62	has	have	AUX
ejpam-4930	11	63	become	become	VERB
ejpam-4930	11	64	the	the	DET
ejpam-4930	11	65	focus	focus	NOUN
ejpam-4930	11	66	of	of	ADP
ejpam-4930	11	67	many	many	ADJ
ejpam-4930	11	68	researchers	researcher	NOUN
ejpam-4930	11	69	all	all	ADV
ejpam-4930	11	70	over	over	ADP
ejpam-4930	11	71	the	the	DET
ejpam-4930	11	72	world	world	NOUN
ejpam-4930	11	73	.	.	PUNCT
ejpam-4930	12	1	different	different	ADJ
ejpam-4930	12	2	techniques	technique	NOUN
ejpam-4930	12	3	have	have	AUX
ejpam-4930	12	4	been	be	AUX
ejpam-4930	12	5	applied	apply	VERB
ejpam-4930	12	6	and	and	CCONJ
ejpam-4930	12	7	investigated	investigate	VERB
ejpam-4930	12	8	in	in	ADP
ejpam-4930	12	9	order	order	NOUN
ejpam-4930	12	10	to	to	ADP
ejpam-4930	12	11	∗corresponding	∗corresponde	VERB
ejpam-4930	12	12	author	author	NOUN
ejpam-4930	12	13	.	.	PUNCT
ejpam-4930	13	1	doi	doi	NOUN
ejpam-4930	13	2	:	:	PUNCT
ejpam-4930	13	3	https://doi.org/10.29020/nybg.ejpam.v16i4.4930	https://doi.org/10.29020/nybg.ejpam.v16i4.4930	NUM
ejpam-4930	13	4	email	email	NOUN
ejpam-4930	13	5	addresses	address	NOUN
ejpam-4930	13	6	:	:	PUNCT
ejpam-4930	13	7	ali.kandil@ejust.edu.eg	ali.kandil@ejust.edu.eg	PROPN
ejpam-4930	13	8	(	(	PUNCT
ejpam-4930	13	9	a.	a.	NOUN
ejpam-4930	13	10	kandil	kandil	PROPN
ejpam-4930	13	11	)	)	PUNCT
ejpam-4930	13	12	,	,	PUNCT
ejpam-4930	13	13	yasersalah@tu.edu.sa	yasersalah@tu.edu.sa	PROPN
ejpam-4930	13	14	(	(	PUNCT
ejpam-4930	13	15	y.	y.	PROPN
ejpam-4930	13	16	s.	s.	PROPN
ejpam-4930	13	17	hamed	hamed	PROPN
ejpam-4930	13	18	)	)	PUNCT
ejpam-4930	13	19	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4930	13	20	2729	2729	NUM
ejpam-4930	14	1	©	©	ADP
ejpam-4930	14	2	2023	2023	NUM
ejpam-4930	14	3	ejpam	ejpam	NOUN
ejpam-4930	14	4	all	all	DET
ejpam-4930	14	5	rights	right	NOUN
ejpam-4930	14	6	reserved	reserve	VERB
ejpam-4930	14	7	.	.	PUNCT
ejpam-4930	15	1	a.	a.	NOUN
ejpam-4930	15	2	kandil	kandil	PROPN
ejpam-4930	15	3	,	,	PUNCT
ejpam-4930	15	4	y.	y.	PROPN
ejpam-4930	15	5	s.	s.	PROPN
ejpam-4930	15	6	hamed	hamed	PROPN
ejpam-4930	15	7	/	/	SYM
ejpam-4930	15	8	eur	eur	PROPN
ejpam-4930	15	9	.	.	PUNCT
ejpam-4930	16	1	j.	j.	PROPN
ejpam-4930	16	2	pure	pure	PROPN
ejpam-4930	16	3	appl	appl	PROPN
ejpam-4930	16	4	.	.	PROPN
ejpam-4930	16	5	math	math	PROPN
ejpam-4930	16	6	,	,	PUNCT
ejpam-4930	16	7	16	16	NUM
ejpam-4930	16	8	(	(	PUNCT
ejpam-4930	16	9	4	4	NUM
ejpam-4930	16	10	)	)	PUNCT
ejpam-4930	16	11	(	(	PUNCT
ejpam-4930	16	12	2023	2023	NUM
ejpam-4930	16	13	)	)	PUNCT
ejpam-4930	16	14	,	,	PUNCT
ejpam-4930	16	15	2729	2729	NUM
ejpam-4930	16	16	-	-	SYM
ejpam-4930	16	17	2750	2750	NUM
ejpam-4930	16	18	2730	2730	NUM
ejpam-4930	16	19	reach	reach	VERB
ejpam-4930	16	20	a	a	DET
ejpam-4930	16	21	safe	safe	ADJ
ejpam-4930	16	22	system	system	NOUN
ejpam-4930	16	23	operation	operation	NOUN
ejpam-4930	16	24	with	with	ADP
ejpam-4930	16	25	less	less	ADJ
ejpam-4930	16	26	defects	defect	NOUN
ejpam-4930	16	27	and	and	CCONJ
ejpam-4930	16	28	costs	cost	NOUN
ejpam-4930	16	29	.	.	PUNCT
ejpam-4930	17	1	some	some	PRON
ejpam-4930	17	2	of	of	ADP
ejpam-4930	17	3	them	they	PRON
ejpam-4930	17	4	depends	depend	VERB
ejpam-4930	17	5	on	on	ADP
ejpam-4930	17	6	passive	passive	ADJ
ejpam-4930	17	7	control	control	NOUN
ejpam-4930	17	8	where	where	SCONJ
ejpam-4930	17	9	bulky	bulky	ADJ
ejpam-4930	17	10	elements	element	NOUN
ejpam-4930	17	11	are	be	AUX
ejpam-4930	17	12	used	use	VERB
ejpam-4930	17	13	without	without	ADP
ejpam-4930	17	14	any	any	DET
ejpam-4930	17	15	adaptation	adaptation	NOUN
ejpam-4930	17	16	to	to	ADP
ejpam-4930	17	17	the	the	DET
ejpam-4930	17	18	change	change	NOUN
ejpam-4930	17	19	in	in	ADP
ejpam-4930	17	20	the	the	DET
ejpam-4930	17	21	system	system	NOUN
ejpam-4930	17	22	states	state	NOUN
ejpam-4930	17	23	.	.	PUNCT
ejpam-4930	18	1	the	the	DET
ejpam-4930	18	2	other	other	ADJ
ejpam-4930	18	3	type	type	NOUN
ejpam-4930	18	4	relies	rely	VERB
ejpam-4930	18	5	on	on	ADP
ejpam-4930	18	6	active	active	ADJ
ejpam-4930	18	7	control	control	NOUN
ejpam-4930	18	8	where	where	SCONJ
ejpam-4930	18	9	a	a	DET
ejpam-4930	18	10	control	control	NOUN
ejpam-4930	18	11	equation	equation	NOUN
ejpam-4930	18	12	(	(	PUNCT
ejpam-4930	18	13	algorithm	algorithm	NOUN
ejpam-4930	18	14	)	)	PUNCT
ejpam-4930	18	15	is	be	AUX
ejpam-4930	18	16	programmed	program	VERB
ejpam-4930	18	17	into	into	ADP
ejpam-4930	18	18	a	a	DET
ejpam-4930	18	19	control	control	NOUN
ejpam-4930	18	20	unit	unit	NOUN
ejpam-4930	18	21	that	that	PRON
ejpam-4930	18	22	gets	get	VERB
ejpam-4930	18	23	the	the	DET
ejpam-4930	18	24	feedback	feedback	NOUN
ejpam-4930	18	25	signals	signal	NOUN
ejpam-4930	18	26	from	from	ADP
ejpam-4930	18	27	the	the	DET
ejpam-4930	18	28	system	system	NOUN
ejpam-4930	18	29	states	state	NOUN
ejpam-4930	18	30	then	then	ADV
ejpam-4930	18	31	acts	act	VERB
ejpam-4930	18	32	upon	upon	SCONJ
ejpam-4930	18	33	their	their	PRON
ejpam-4930	18	34	values	value	NOUN
ejpam-4930	18	35	.	.	PUNCT
ejpam-4930	19	1	among	among	ADP
ejpam-4930	19	2	these	these	DET
ejpam-4930	19	3	active	active	ADJ
ejpam-4930	19	4	control	control	NOUN
ejpam-4930	19	5	techniques	technique	NOUN
ejpam-4930	19	6	is	be	AUX
ejpam-4930	19	7	the	the	DET
ejpam-4930	19	8	integral	integral	ADJ
ejpam-4930	19	9	resonant	resonant	ADJ
ejpam-4930	19	10	controller	controller	NOUN
ejpam-4930	19	11	(	(	PUNCT
ejpam-4930	19	12	irc	irc	NOUN
ejpam-4930	19	13	)	)	PUNCT
ejpam-4930	19	14	that	that	PRON
ejpam-4930	19	15	is	be	AUX
ejpam-4930	19	16	a	a	DET
ejpam-4930	19	17	first	first	ADJ
ejpam-4930	19	18	order	order	NOUN
ejpam-4930	19	19	oscillator	oscillator	NOUN
ejpam-4930	19	20	coupled	couple	VERB
ejpam-4930	19	21	linearly	linearly	ADV
ejpam-4930	19	22	to	to	ADP
ejpam-4930	19	23	the	the	DET
ejpam-4930	19	24	controlled	control	VERB
ejpam-4930	19	25	model	model	NOUN
ejpam-4930	19	26	equation	equation	NOUN
ejpam-4930	19	27	.	.	PUNCT
ejpam-4930	20	1	in	in	ADP
ejpam-4930	20	2	addition	addition	NOUN
ejpam-4930	20	3	,	,	PUNCT
ejpam-4930	20	4	one	one	NUM
ejpam-4930	20	5	of	of	ADP
ejpam-4930	20	6	the	the	DET
ejpam-4930	20	7	most	most	ADV
ejpam-4930	20	8	important	important	ADJ
ejpam-4930	20	9	models	model	NOUN
ejpam-4930	20	10	to	to	PART
ejpam-4930	20	11	be	be	AUX
ejpam-4930	20	12	controlled	control	VERB
ejpam-4930	20	13	is	be	AUX
ejpam-4930	20	14	the	the	DET
ejpam-4930	20	15	car	car	NOUN
ejpam-4930	20	16	model	model	NOUN
ejpam-4930	20	17	that	that	PRON
ejpam-4930	20	18	suffers	suffer	VERB
ejpam-4930	20	19	from	from	ADP
ejpam-4930	20	20	unwanted	unwanted	ADJ
ejpam-4930	20	21	oscillations	oscillation	NOUN
ejpam-4930	20	22	.	.	PUNCT
ejpam-4930	21	1	aphale	aphale	PROPN
ejpam-4930	21	2	et	et	PROPN
ejpam-4930	21	3	al	al	PROPN
ejpam-4930	21	4	.	.	PUNCT
ejpam-4930	22	1	[	[	X
ejpam-4930	22	2	2	2	X
ejpam-4930	22	3	]	]	PUNCT
ejpam-4930	22	4	proposed	propose	VERB
ejpam-4930	22	5	the	the	DET
ejpam-4930	22	6	irc	irc	NOUN
ejpam-4930	22	7	for	for	ADP
ejpam-4930	22	8	controlling	control	VERB
ejpam-4930	22	9	a	a	DET
ejpam-4930	22	10	smart	smart	ADJ
ejpam-4930	22	11	structure	structure	NOUN
ejpam-4930	22	12	implanted	implant	VERB
ejpam-4930	22	13	with	with	ADP
ejpam-4930	22	14	distributed	distribute	VERB
ejpam-4930	22	15	sensors	sensor	NOUN
ejpam-4930	22	16	and	and	CCONJ
ejpam-4930	22	17	actuators	actuator	NOUN
ejpam-4930	22	18	.	.	PUNCT
ejpam-4930	23	1	they	they	PRON
ejpam-4930	23	2	showed	show	VERB
ejpam-4930	23	3	that	that	SCONJ
ejpam-4930	23	4	applying	apply	VERB
ejpam-4930	23	5	such	such	ADJ
ejpam-4930	23	6	controller	controller	NOUN
ejpam-4930	23	7	resulted	result	VERB
ejpam-4930	23	8	in	in	ADP
ejpam-4930	23	9	better	well	ADJ
ejpam-4930	23	10	operation	operation	NOUN
ejpam-4930	23	11	and	and	CCONJ
ejpam-4930	23	12	stability	stability	NOUN
ejpam-4930	23	13	.	.	PUNCT
ejpam-4930	24	1	dı́az	dı́az	PROPN
ejpam-4930	24	2	and	and	CCONJ
ejpam-4930	24	3	reynolds	reynold	NOUN
ejpam-4930	25	1	[	[	X
ejpam-4930	25	2	6	6	NUM
ejpam-4930	25	3	]	]	PUNCT
ejpam-4930	25	4	designed	design	VERB
ejpam-4930	25	5	a	a	DET
ejpam-4930	25	6	robust	robust	ADJ
ejpam-4930	25	7	proof	proof	ADJ
ejpam-4930	25	8	-	-	PUNCT
ejpam-4930	25	9	mass	mass	ADJ
ejpam-4930	25	10	actuator	actuator	NOUN
ejpam-4930	25	11	in	in	ADP
ejpam-4930	25	12	order	order	NOUN
ejpam-4930	25	13	to	to	PART
ejpam-4930	25	14	suppress	suppress	VERB
ejpam-4930	25	15	the	the	DET
ejpam-4930	25	16	induced	induced	ADJ
ejpam-4930	25	17	vibrations	vibration	NOUN
ejpam-4930	25	18	by	by	ADP
ejpam-4930	25	19	humans	human	NOUN
ejpam-4930	25	20	in	in	ADP
ejpam-4930	25	21	floor	floor	NOUN
ejpam-4930	25	22	structures	structure	NOUN
ejpam-4930	25	23	.	.	PUNCT
ejpam-4930	26	1	this	this	DET
ejpam-4930	26	2	actuator	actuator	NOUN
ejpam-4930	26	3	influenced	influence	VERB
ejpam-4930	26	4	the	the	DET
ejpam-4930	26	5	system	system	NOUN
ejpam-4930	26	6	dynamics	dynamic	NOUN
ejpam-4930	26	7	by	by	ADP
ejpam-4930	26	8	inserting	insert	VERB
ejpam-4930	26	9	a	a	DET
ejpam-4930	26	10	feed	feed	NOUN
ejpam-4930	26	11	-	-	PUNCT
ejpam-4930	26	12	through	through	ADP
ejpam-4930	26	13	term	term	NOUN
ejpam-4930	26	14	to	to	ADP
ejpam-4930	26	15	the	the	DET
ejpam-4930	26	16	system	system	NOUN
ejpam-4930	26	17	acceleration	acceleration	NOUN
ejpam-4930	26	18	output	output	NOUN
ejpam-4930	26	19	.	.	PUNCT
ejpam-4930	27	1	ji	ji	PROPN
ejpam-4930	27	2	and	and	CCONJ
ejpam-4930	27	3	zhang	zhang	PROPN
ejpam-4930	28	1	[	[	X
ejpam-4930	28	2	11	11	NUM
ejpam-4930	28	3	]	]	PUNCT
ejpam-4930	28	4	explored	explore	VERB
ejpam-4930	28	5	the	the	DET
ejpam-4930	28	6	hysteresis	hysteresis	NOUN
ejpam-4930	28	7	and	and	CCONJ
ejpam-4930	28	8	jump	jump	VERB
ejpam-4930	28	9	phenomena	phenomenon	NOUN
ejpam-4930	28	10	that	that	PRON
ejpam-4930	28	11	could	could	AUX
ejpam-4930	28	12	occur	occur	VERB
ejpam-4930	28	13	in	in	ADP
ejpam-4930	28	14	the	the	DET
ejpam-4930	28	15	equilibrium	equilibrium	NOUN
ejpam-4930	28	16	response	response	NOUN
ejpam-4930	28	17	of	of	ADP
ejpam-4930	28	18	a	a	DET
ejpam-4930	28	19	simple	simple	ADJ
ejpam-4930	28	20	mass	mass	ADJ
ejpam-4930	28	21	-	-	PUNCT
ejpam-4930	28	22	damper	damper	NOUN
ejpam-4930	28	23	-	-	PUNCT
ejpam-4930	28	24	spring	spring	NOUN
ejpam-4930	28	25	absorber	absorber	NOUN
ejpam-4930	28	26	connected	connect	VERB
ejpam-4930	28	27	to	to	ADP
ejpam-4930	28	28	a	a	DET
ejpam-4930	28	29	half	half	ADJ
ejpam-4930	28	30	-	-	PUNCT
ejpam-4930	28	31	car	car	NOUN
ejpam-4930	28	32	model	model	NOUN
ejpam-4930	28	33	excited	excite	VERB
ejpam-4930	28	34	harmonically	harmonically	ADV
ejpam-4930	28	35	.	.	PUNCT
ejpam-4930	29	1	febbo	febbo	PROPN
ejpam-4930	30	1	[	[	X
ejpam-4930	30	2	7	7	X
ejpam-4930	30	3	]	]	PUNCT
ejpam-4930	30	4	discussed	discuss	VERB
ejpam-4930	30	5	the	the	DET
ejpam-4930	30	6	nonlinear	nonlinear	ADJ
ejpam-4930	30	7	dynamics	dynamic	NOUN
ejpam-4930	30	8	of	of	ADP
ejpam-4930	30	9	an	an	DET
ejpam-4930	30	10	extensible	extensible	ADJ
ejpam-4930	30	11	oscillator	oscillator	NOUN
ejpam-4930	30	12	that	that	PRON
ejpam-4930	30	13	was	be	AUX
ejpam-4930	30	14	driven	drive	VERB
ejpam-4930	30	15	harmonically	harmonically	ADV
ejpam-4930	30	16	with	with	ADP
ejpam-4930	30	17	the	the	DET
ejpam-4930	30	18	aid	aid	NOUN
ejpam-4930	30	19	of	of	ADP
ejpam-4930	30	20	the	the	DET
ejpam-4930	30	21	harmonic	harmonic	ADJ
ejpam-4930	30	22	balance	balance	NOUN
ejpam-4930	30	23	method	method	NOUN
ejpam-4930	30	24	for	for	ADP
ejpam-4930	30	25	extracting	extract	VERB
ejpam-4930	30	26	the	the	DET
ejpam-4930	30	27	frequency	frequency	NOUN
ejpam-4930	30	28	response	response	NOUN
ejpam-4930	30	29	equations	equation	NOUN
ejpam-4930	30	30	.	.	PUNCT
ejpam-4930	31	1	pereira	pereira	PROPN
ejpam-4930	31	2	et	et	PROPN
ejpam-4930	31	3	al	al	PROPN
ejpam-4930	31	4	.	.	PUNCT
ejpam-4930	32	1	[	[	X
ejpam-4930	32	2	27	27	NUM
ejpam-4930	32	3	]	]	PUNCT
ejpam-4930	32	4	proposed	propose	VERB
ejpam-4930	32	5	an	an	DET
ejpam-4930	32	6	irc	irc	NOUN
ejpam-4930	32	7	technique	technique	NOUN
ejpam-4930	32	8	composed	compose	VERB
ejpam-4930	32	9	of	of	ADP
ejpam-4930	32	10	an	an	DET
ejpam-4930	32	11	inner	inner	ADJ
ejpam-4930	32	12	loop	loop	NOUN
ejpam-4930	32	13	to	to	PART
ejpam-4930	32	14	control	control	VERB
ejpam-4930	32	15	a	a	DET
ejpam-4930	32	16	joint	joint	ADJ
ejpam-4930	32	17	-	-	PUNCT
ejpam-4930	32	18	angle	angle	NOUN
ejpam-4930	32	19	,	,	PUNCT
ejpam-4930	32	20	and	and	CCONJ
ejpam-4930	32	21	an	an	DET
ejpam-4930	32	22	outer	outer	ADJ
ejpam-4930	32	23	loop	loop	NOUN
ejpam-4930	32	24	to	to	PART
ejpam-4930	32	25	suppress	suppress	VERB
ejpam-4930	32	26	the	the	DET
ejpam-4930	32	27	unwanted	unwanted	ADJ
ejpam-4930	32	28	vibrations	vibration	NOUN
ejpam-4930	32	29	of	of	ADP
ejpam-4930	32	30	the	the	DET
ejpam-4930	32	31	joint	joint	NOUN
ejpam-4930	32	32	.	.	PUNCT
ejpam-4930	33	1	dı́az	dı́az	X
ejpam-4930	33	2	et	et	PROPN
ejpam-4930	33	3	al	al	PROPN
ejpam-4930	33	4	.	.	PUNCT
ejpam-4930	34	1	[	[	X
ejpam-4930	34	2	5	5	NUM
ejpam-4930	34	3	]	]	PUNCT
ejpam-4930	34	4	introduced	introduce	VERB
ejpam-4930	34	5	a	a	DET
ejpam-4930	34	6	simple	simple	ADJ
ejpam-4930	34	7	and	and	CCONJ
ejpam-4930	34	8	robust	robust	ADJ
ejpam-4930	34	9	technique	technique	NOUN
ejpam-4930	34	10	for	for	ADP
ejpam-4930	34	11	mitigating	mitigate	VERB
ejpam-4930	34	12	the	the	DET
ejpam-4930	34	13	vibrations	vibration	NOUN
ejpam-4930	34	14	of	of	ADP
ejpam-4930	34	15	smart	smart	ADJ
ejpam-4930	34	16	structures	structure	NOUN
ejpam-4930	34	17	implanted	implant	VERB
ejpam-4930	34	18	with	with	ADP
ejpam-4930	34	19	sensor	sensor	NOUN
ejpam-4930	34	20	-	-	PUNCT
ejpam-4930	34	21	actuator	actuator	NOUN
ejpam-4930	34	22	pairs	pair	NOUN
ejpam-4930	34	23	where	where	SCONJ
ejpam-4930	34	24	the	the	DET
ejpam-4930	34	25	closed	closed	ADJ
ejpam-4930	34	26	-	-	PUNCT
ejpam-4930	34	27	loop	loop	NOUN
ejpam-4930	34	28	system	system	NOUN
ejpam-4930	34	29	produced	produce	VERB
ejpam-4930	34	30	high	high	ADJ
ejpam-4930	34	31	stability	stability	NOUN
ejpam-4930	34	32	margins	margin	NOUN
ejpam-4930	34	33	.	.	PUNCT
ejpam-4930	35	1	ji	ji	X
ejpam-4930	36	1	[	[	X
ejpam-4930	36	2	10	10	NUM
ejpam-4930	36	3	]	]	PUNCT
ejpam-4930	36	4	controlled	control	VERB
ejpam-4930	36	5	the	the	DET
ejpam-4930	36	6	primary	primary	ADJ
ejpam-4930	36	7	resonance	resonance	NOUN
ejpam-4930	36	8	of	of	ADP
ejpam-4930	36	9	a	a	DET
ejpam-4930	36	10	nonlinear	nonlinear	ADJ
ejpam-4930	36	11	oscillator	oscillator	NOUN
ejpam-4930	36	12	with	with	ADP
ejpam-4930	36	13	the	the	DET
ejpam-4930	36	14	help	help	NOUN
ejpam-4930	36	15	of	of	ADP
ejpam-4930	36	16	a	a	DET
ejpam-4930	36	17	nonlinear	nonlinear	ADJ
ejpam-4930	36	18	vibration	vibration	NOUN
ejpam-4930	36	19	absorber	absorber	NOUN
ejpam-4930	36	20	where	where	SCONJ
ejpam-4930	36	21	the	the	DET
ejpam-4930	36	22	natural	natural	ADJ
ejpam-4930	36	23	frequencies	frequency	NOUN
ejpam-4930	36	24	of	of	ADP
ejpam-4930	36	25	both	both	CCONJ
ejpam-4930	36	26	the	the	DET
ejpam-4930	36	27	oscillator	oscillator	NOUN
ejpam-4930	36	28	and	and	CCONJ
ejpam-4930	36	29	the	the	DET
ejpam-4930	36	30	absorber	absorber	NOUN
ejpam-4930	36	31	were	be	AUX
ejpam-4930	36	32	not	not	PART
ejpam-4930	36	33	in	in	ADP
ejpam-4930	36	34	an	an	DET
ejpam-4930	36	35	internal	internal	ADJ
ejpam-4930	36	36	resonance	resonance	NOUN
ejpam-4930	36	37	condition	condition	NOUN
ejpam-4930	36	38	.	.	PUNCT
ejpam-4930	37	1	al	al	PROPN
ejpam-4930	37	2	-	-	PUNCT
ejpam-4930	37	3	mamun	mamun	PROPN
ejpam-4930	37	4	et	et	PROPN
ejpam-4930	37	5	al	al	PROPN
ejpam-4930	37	6	.	.	PUNCT
ejpam-4930	38	1	[	[	X
ejpam-4930	38	2	1	1	X
ejpam-4930	38	3	]	]	PUNCT
ejpam-4930	38	4	applied	apply	VERB
ejpam-4930	38	5	a	a	DET
ejpam-4930	38	6	notch	notch	ADJ
ejpam-4930	38	7	filter	filter	NOUN
ejpam-4930	38	8	in	in	ADP
ejpam-4930	38	9	cascade	cascade	NOUN
ejpam-4930	38	10	with	with	ADP
ejpam-4930	38	11	a	a	DET
ejpam-4930	38	12	microactuator	microactuator	NOUN
ejpam-4930	38	13	(	(	PUNCT
ejpam-4930	38	14	with	with	ADP
ejpam-4930	38	15	the	the	DET
ejpam-4930	38	16	idea	idea	NOUN
ejpam-4930	38	17	of	of	ADP
ejpam-4930	38	18	irc	irc	PROPN
ejpam-4930	38	19	)	)	PUNCT
ejpam-4930	38	20	in	in	ADP
ejpam-4930	38	21	order	order	NOUN
ejpam-4930	38	22	to	to	PART
ejpam-4930	38	23	attenuate	attenuate	VERB
ejpam-4930	38	24	the	the	DET
ejpam-4930	38	25	high	high	ADJ
ejpam-4930	38	26	resonant	resonant	ADJ
ejpam-4930	38	27	vibrations	vibration	NOUN
ejpam-4930	38	28	of	of	ADP
ejpam-4930	38	29	the	the	DET
ejpam-4930	38	30	studied	studied	ADJ
ejpam-4930	38	31	actuator	actuator	NOUN
ejpam-4930	38	32	.	.	PUNCT
ejpam-4930	39	1	febbo	febbo	PROPN
ejpam-4930	39	2	and	and	CCONJ
ejpam-4930	39	3	ji	ji	PROPN
ejpam-4930	40	1	[	[	X
ejpam-4930	40	2	8	8	NUM
ejpam-4930	40	3	]	]	PUNCT
ejpam-4930	40	4	adopted	adopt	VERB
ejpam-4930	40	5	the	the	DET
ejpam-4930	40	6	use	use	NOUN
ejpam-4930	40	7	of	of	ADP
ejpam-4930	40	8	lagrange	lagrange	NOUN
ejpam-4930	40	9	multipliers	multiplier	NOUN
ejpam-4930	40	10	in	in	ADP
ejpam-4930	40	11	order	order	NOUN
ejpam-4930	40	12	to	to	PART
ejpam-4930	40	13	find	find	VERB
ejpam-4930	40	14	the	the	DET
ejpam-4930	40	15	critical	critical	ADJ
ejpam-4930	40	16	forcing	force	VERB
ejpam-4930	40	17	amplitude	amplitude	NOUN
ejpam-4930	40	18	where	where	SCONJ
ejpam-4930	40	19	a	a	DET
ejpam-4930	40	20	nonlinear	nonlinear	ADJ
ejpam-4930	40	21	oscillator	oscillator	NOUN
ejpam-4930	40	22	exhibited	exhibit	VERB
ejpam-4930	40	23	hysteresis	hysteresis	NOUN
ejpam-4930	40	24	and	and	CCONJ
ejpam-4930	40	25	jump	jump	VERB
ejpam-4930	40	26	phenomena	phenomenon	NOUN
ejpam-4930	40	27	in	in	ADP
ejpam-4930	40	28	the	the	DET
ejpam-4930	40	29	primary	primary	ADJ
ejpam-4930	40	30	resonance	resonance	NOUN
ejpam-4930	40	31	case	case	NOUN
ejpam-4930	40	32	.	.	PUNCT
ejpam-4930	41	1	liu	liu	PROPN
ejpam-4930	41	2	et	et	PROPN
ejpam-4930	41	3	al	al	PROPN
ejpam-4930	41	4	.	.	PUNCT
ejpam-4930	42	1	[	[	X
ejpam-4930	42	2	16	16	NUM
ejpam-4930	42	3	]	]	PUNCT
ejpam-4930	42	4	introduced	introduce	VERB
ejpam-4930	42	5	a	a	DET
ejpam-4930	42	6	feedback	feedback	NOUN
ejpam-4930	42	7	control	control	NOUN
ejpam-4930	42	8	with	with	ADP
ejpam-4930	42	9	time	time	NOUN
ejpam-4930	42	10	-	-	PUNCT
ejpam-4930	42	11	delay	delay	NOUN
ejpam-4930	42	12	for	for	ADP
ejpam-4930	42	13	reducing	reduce	VERB
ejpam-4930	42	14	the	the	DET
ejpam-4930	42	15	primary	primary	ADJ
ejpam-4930	42	16	resonant	resonant	NOUN
ejpam-4930	42	17	vibrations	vibration	NOUN
ejpam-4930	42	18	of	of	ADP
ejpam-4930	42	19	a	a	DET
ejpam-4930	42	20	carbon	carbon	NOUN
ejpam-4930	42	21	nanotube	nanotube	NOUN
ejpam-4930	42	22	excited	excite	VERB
ejpam-4930	42	23	by	by	ADP
ejpam-4930	42	24	a	a	DET
ejpam-4930	42	25	lorentz	lorentz	ADJ
ejpam-4930	42	26	force	force	NOUN
ejpam-4930	42	27	and	and	CCONJ
ejpam-4930	42	28	a	a	DET
ejpam-4930	42	29	longitudinal	longitudinal	ADJ
ejpam-4930	42	30	magnetic	magnetic	ADJ
ejpam-4930	42	31	field	field	NOUN
ejpam-4930	42	32	.	.	PUNCT
ejpam-4930	43	1	omidi	omidi	NOUN
ejpam-4930	43	2	and	and	CCONJ
ejpam-4930	43	3	mahmoodi	mahmoodi	VERB
ejpam-4930	43	4	[	[	X
ejpam-4930	43	5	24	24	NUM
ejpam-4930	43	6	]	]	PUNCT
ejpam-4930	43	7	have	have	AUX
ejpam-4930	43	8	combined	combine	VERB
ejpam-4930	43	9	the	the	DET
ejpam-4930	43	10	algorithms	algorithm	NOUN
ejpam-4930	43	11	of	of	ADP
ejpam-4930	43	12	positive	positive	ADJ
ejpam-4930	43	13	position	position	NOUN
ejpam-4930	43	14	feedback	feedback	NOUN
ejpam-4930	43	15	(	(	PUNCT
ejpam-4930	43	16	ppf	ppf	PROPN
ejpam-4930	43	17	)	)	PUNCT
ejpam-4930	43	18	controller	controller	NOUN
ejpam-4930	43	19	and	and	CCONJ
ejpam-4930	43	20	irc	irc	VERB
ejpam-4930	43	21	in	in	ADP
ejpam-4930	43	22	order	order	NOUN
ejpam-4930	43	23	to	to	PART
ejpam-4930	43	24	overcome	overcome	VERB
ejpam-4930	43	25	some	some	DET
ejpam-4930	43	26	issues	issue	NOUN
ejpam-4930	43	27	that	that	PRON
ejpam-4930	43	28	were	be	AUX
ejpam-4930	43	29	raised	raise	VERB
ejpam-4930	43	30	in	in	ADP
ejpam-4930	43	31	the	the	DET
ejpam-4930	43	32	ppf	ppf	PROPN
ejpam-4930	43	33	controller	controller	NOUN
ejpam-4930	43	34	.	.	PUNCT
ejpam-4930	44	1	they	they	PRON
ejpam-4930	44	2	adopted	adopt	VERB
ejpam-4930	44	3	the	the	DET
ejpam-4930	44	4	method	method	NOUN
ejpam-4930	44	5	of	of	ADP
ejpam-4930	44	6	multiple	multiple	ADJ
ejpam-4930	44	7	scales	scale	NOUN
ejpam-4930	44	8	for	for	ADP
ejpam-4930	44	9	extracting	extract	VERB
ejpam-4930	44	10	the	the	DET
ejpam-4930	44	11	modulation	modulation	NOUN
ejpam-4930	44	12	equations	equation	NOUN
ejpam-4930	44	13	of	of	ADP
ejpam-4930	44	14	the	the	DET
ejpam-4930	44	15	amplitude	amplitude	NOUN
ejpam-4930	44	16	and	and	CCONJ
ejpam-4930	44	17	phase	phase	NOUN
ejpam-4930	44	18	of	of	ADP
ejpam-4930	44	19	the	the	DET
ejpam-4930	44	20	studied	study	VERB
ejpam-4930	44	21	system	system	NOUN
ejpam-4930	44	22	’s	’s	PART
ejpam-4930	44	23	oscillations	oscillation	NOUN
ejpam-4930	44	24	.	.	PUNCT
ejpam-4930	45	1	xu	xu	PROPN
ejpam-4930	45	2	and	and	CCONJ
ejpam-4930	45	3	sun	sun	PROPN
ejpam-4930	46	1	[	[	X
ejpam-4930	46	2	31	31	NUM
ejpam-4930	46	3	]	]	PUNCT
ejpam-4930	46	4	studied	study	VERB
ejpam-4930	46	5	the	the	DET
ejpam-4930	46	6	effect	effect	NOUN
ejpam-4930	46	7	of	of	ADP
ejpam-4930	46	8	the	the	DET
ejpam-4930	46	9	multi	multi	ADJ
ejpam-4930	46	10	directional	directional	PROPN
ejpam-4930	46	11	quasi	quasi	ADJ
ejpam-4930	46	12	-	-	ADJ
ejpam-4930	46	13	zero	zero	NUM
ejpam-4930	46	14	-	-	PUNCT
ejpam-4930	46	15	stiffness	stiffness	NOUN
ejpam-4930	46	16	isolator	isolator	NOUN
ejpam-4930	46	17	that	that	PRON
ejpam-4930	46	18	was	be	AUX
ejpam-4930	46	19	coupled	couple	VERB
ejpam-4930	46	20	to	to	ADP
ejpam-4930	46	21	a	a	DET
ejpam-4930	46	22	time	time	NOUN
ejpam-4930	46	23	delayed	delay	VERB
ejpam-4930	46	24	linear	linear	ADJ
ejpam-4930	46	25	active	active	ADJ
ejpam-4930	46	26	controller	controller	NOUN
ejpam-4930	46	27	.	.	PUNCT
ejpam-4930	47	1	liu	liu	PROPN
ejpam-4930	47	2	et	et	PROPN
ejpam-4930	47	3	al	al	PROPN
ejpam-4930	47	4	.	.	PUNCT
ejpam-4930	48	1	[	[	X
ejpam-4930	48	2	17	17	NUM
ejpam-4930	48	3	]	]	PUNCT
ejpam-4930	48	4	developed	develop	VERB
ejpam-4930	48	5	an	an	DET
ejpam-4930	48	6	optimal	optimal	ADJ
ejpam-4930	48	7	time	time	NOUN
ejpam-4930	48	8	delayed	delay	VERB
ejpam-4930	48	9	feedback	feedback	NOUN
ejpam-4930	48	10	controller	controller	NOUN
ejpam-4930	48	11	for	for	ADP
ejpam-4930	48	12	reducing	reduce	VERB
ejpam-4930	48	13	the	the	DET
ejpam-4930	48	14	primary	primary	ADJ
ejpam-4930	48	15	and	and	CCONJ
ejpam-4930	48	16	secondary	secondary	ADJ
ejpam-4930	48	17	(	(	PUNCT
ejpam-4930	48	18	super	super	ADJ
ejpam-4930	48	19	harmonic	harmonic	ADJ
ejpam-4930	48	20	)	)	PUNCT
ejpam-4930	48	21	resonances	resonance	NOUN
ejpam-4930	48	22	of	of	ADP
ejpam-4930	48	23	a	a	DET
ejpam-4930	48	24	simply	simply	ADV
ejpam-4930	48	25	supported	support	VERB
ejpam-4930	48	26	beam	beam	NOUN
ejpam-4930	48	27	implanted	implant	VERB
ejpam-4930	48	28	with	with	ADP
ejpam-4930	48	29	piezoelectric	piezoelectric	ADJ
ejpam-4930	48	30	actuator	actuator	NOUN
ejpam-4930	48	31	and	and	CCONJ
ejpam-4930	48	32	sensor	sensor	NOUN
ejpam-4930	48	33	where	where	SCONJ
ejpam-4930	48	34	the	the	DET
ejpam-4930	48	35	stability	stability	NOUN
ejpam-4930	48	36	regions	region	NOUN
ejpam-4930	48	37	were	be	AUX
ejpam-4930	48	38	plotted	plot	VERB
ejpam-4930	48	39	depending	depend	VERB
ejpam-4930	48	40	on	on	ADP
ejpam-4930	48	41	the	the	DET
ejpam-4930	48	42	eigenvalue	eigenvalue	NOUN
ejpam-4930	48	43	equation	equation	NOUN
ejpam-4930	48	44	.	.	PUNCT
ejpam-4930	49	1	omidi	omidi	NOUN
ejpam-4930	49	2	and	and	CCONJ
ejpam-4930	49	3	mahmoodi	mahmoodi	VERB
ejpam-4930	49	4	[	[	X
ejpam-4930	49	5	25	25	NUM
ejpam-4930	49	6	]	]	PUNCT
ejpam-4930	49	7	introduced	introduce	VERB
ejpam-4930	49	8	a	a	DET
ejpam-4930	49	9	nonlinear	nonlinear	ADJ
ejpam-4930	49	10	form	form	NOUN
ejpam-4930	49	11	of	of	ADP
ejpam-4930	49	12	the	the	DET
ejpam-4930	49	13	irc	irc	NOUN
ejpam-4930	49	14	in	in	ADP
ejpam-4930	49	15	order	order	NOUN
ejpam-4930	49	16	to	to	PART
ejpam-4930	49	17	suppress	suppress	VERB
ejpam-4930	49	18	the	the	DET
ejpam-4930	49	19	vibratory	vibratory	ADJ
ejpam-4930	49	20	behavior	behavior	NOUN
ejpam-4930	49	21	of	of	ADP
ejpam-4930	49	22	some	some	DET
ejpam-4930	49	23	smart	smart	ADJ
ejpam-4930	49	24	structures	structure	NOUN
ejpam-4930	49	25	where	where	SCONJ
ejpam-4930	49	26	an	an	DET
ejpam-4930	49	27	extra	extra	ADJ
ejpam-4930	49	28	damping	damping	NOUN
ejpam-4930	49	29	was	be	AUX
ejpam-4930	49	30	added	add	VERB
ejpam-4930	49	31	to	to	ADP
ejpam-4930	49	32	the	the	DET
ejpam-4930	49	33	closed	closed	ADJ
ejpam-4930	49	34	-	-	PUNCT
ejpam-4930	49	35	loop	loop	NOUN
ejpam-4930	49	36	system	system	NOUN
ejpam-4930	49	37	.	.	PUNCT
ejpam-4930	50	1	ozer	ozer	NOUN
ejpam-4930	50	2	et	et	PROPN
ejpam-4930	50	3	al	al	PROPN
ejpam-4930	50	4	.	.	PUNCT
ejpam-4930	51	1	[	[	X
ejpam-4930	51	2	26	26	NUM
ejpam-4930	51	3	]	]	PUNCT
ejpam-4930	51	4	suggested	suggest	VERB
ejpam-4930	51	5	a	a	DET
ejpam-4930	51	6	novel	novel	ADJ
ejpam-4930	51	7	fuzzylogic	fuzzylogic	ADJ
ejpam-4930	51	8	controller	controller	NOUN
ejpam-4930	51	9	for	for	ADP
ejpam-4930	51	10	suppressing	suppress	VERB
ejpam-4930	51	11	the	the	DET
ejpam-4930	51	12	buildings	building	NOUN
ejpam-4930	51	13	vibrations	vibration	NOUN
ejpam-4930	51	14	that	that	PRON
ejpam-4930	51	15	consisted	consist	VERB
ejpam-4930	51	16	of	of	ADP
ejpam-4930	51	17	steel	steel	NOUN
ejpam-4930	51	18	plates	plate	NOUN
ejpam-4930	51	19	and	and	CCONJ
ejpam-4930	51	20	a.	a.	NOUN
ejpam-4930	51	21	kandil	kandil	PROPN
ejpam-4930	51	22	,	,	PUNCT
ejpam-4930	51	23	y.	y.	PROPN
ejpam-4930	51	24	s.	s.	PROPN
ejpam-4930	51	25	hamed	hamed	PROPN
ejpam-4930	51	26	/	/	SYM
ejpam-4930	51	27	eur	eur	PROPN
ejpam-4930	51	28	.	.	PUNCT
ejpam-4930	52	1	j.	j.	PROPN
ejpam-4930	52	2	pure	pure	PROPN
ejpam-4930	52	3	appl	appl	PROPN
ejpam-4930	52	4	.	.	PROPN
ejpam-4930	52	5	math	math	PROPN
ejpam-4930	52	6	,	,	PUNCT
ejpam-4930	52	7	16	16	NUM
ejpam-4930	52	8	(	(	PUNCT
ejpam-4930	52	9	4	4	NUM
ejpam-4930	52	10	)	)	PUNCT
ejpam-4930	52	11	(	(	PUNCT
ejpam-4930	52	12	2023	2023	NUM
ejpam-4930	52	13	)	)	PUNCT
ejpam-4930	52	14	,	,	PUNCT
ejpam-4930	52	15	2729	2729	NUM
ejpam-4930	52	16	-	-	SYM
ejpam-4930	52	17	2750	2750	NUM
ejpam-4930	52	18	2731	2731	NUM
ejpam-4930	52	19	columns	column	NOUN
ejpam-4930	52	20	with	with	ADP
ejpam-4930	52	21	an	an	DET
ejpam-4930	52	22	optimal	optimal	ADJ
ejpam-4930	52	23	mass	mass	ADJ
ejpam-4930	52	24	dynamic	dynamic	ADJ
ejpam-4930	52	25	absorber	absorber	NOUN
ejpam-4930	52	26	.	.	PUNCT
ejpam-4930	53	1	liu	liu	PROPN
ejpam-4930	53	2	et	et	PROPN
ejpam-4930	53	3	al	al	PROPN
ejpam-4930	53	4	.	.	PUNCT
ejpam-4930	54	1	[	[	X
ejpam-4930	54	2	21	21	NUM
ejpam-4930	54	3	]	]	PUNCT
ejpam-4930	54	4	investigated	investigate	VERB
ejpam-4930	54	5	the	the	DET
ejpam-4930	54	6	effect	effect	NOUN
ejpam-4930	54	7	of	of	ADP
ejpam-4930	54	8	a	a	DET
ejpam-4930	54	9	dynamic	dynamic	ADJ
ejpam-4930	54	10	vibration	vibration	NOUN
ejpam-4930	54	11	absorber	absorber	NOUN
ejpam-4930	54	12	on	on	ADP
ejpam-4930	54	13	reducing	reduce	VERB
ejpam-4930	54	14	the	the	DET
ejpam-4930	54	15	oscillations	oscillation	NOUN
ejpam-4930	54	16	of	of	ADP
ejpam-4930	54	17	a	a	DET
ejpam-4930	54	18	prism	prism	NOUN
ejpam-4930	54	19	where	where	SCONJ
ejpam-4930	54	20	linear	linear	ADJ
ejpam-4930	54	21	damping	damp	VERB
ejpam-4930	54	22	and	and	CCONJ
ejpam-4930	54	23	stiffness	stiffness	NOUN
ejpam-4930	54	24	and	and	CCONJ
ejpam-4930	54	25	elastic	elastic	ADJ
ejpam-4930	54	26	foundation	foundation	NOUN
ejpam-4930	54	27	were	be	AUX
ejpam-4930	54	28	considered	consider	VERB
ejpam-4930	54	29	.	.	PUNCT
ejpam-4930	55	1	bronkhorst	bronkhorst	PROPN
ejpam-4930	55	2	et	et	PROPN
ejpam-4930	55	3	al	al	PROPN
ejpam-4930	55	4	.	.	PUNCT
ejpam-4930	56	1	[	[	X
ejpam-4930	56	2	4	4	NUM
ejpam-4930	56	3	]	]	PUNCT
ejpam-4930	56	4	identified	identify	VERB
ejpam-4930	56	5	an	an	DET
ejpam-4930	56	6	sdof	sdof	ADJ
ejpam-4930	56	7	(	(	PUNCT
ejpam-4930	56	8	single	single	ADJ
ejpam-4930	56	9	degree	degree	NOUN
ejpam-4930	56	10	-	-	PUNCT
ejpam-4930	56	11	of	of	ADP
ejpam-4930	56	12	-	-	PUNCT
ejpam-4930	56	13	freedom	freedom	NOUN
ejpam-4930	56	14	)	)	PUNCT
ejpam-4930	56	15	cubic	cubic	ADJ
ejpam-4930	56	16	-	-	PUNCT
ejpam-4930	56	17	nonlinearity	nonlinearity	NOUN
ejpam-4930	56	18	model	model	NOUN
ejpam-4930	56	19	whose	whose	DET
ejpam-4930	56	20	vibrations	vibration	NOUN
ejpam-4930	56	21	were	be	AUX
ejpam-4930	56	22	reduced	reduce	VERB
ejpam-4930	56	23	via	via	ADP
ejpam-4930	56	24	a	a	DET
ejpam-4930	56	25	viscoelastic	viscoelastic	ADJ
ejpam-4930	56	26	dynamic	dynamic	ADJ
ejpam-4930	56	27	absorber	absorber	NOUN
ejpam-4930	56	28	.	.	PUNCT
ejpam-4930	57	1	liu	liu	PROPN
ejpam-4930	57	2	et	et	PROPN
ejpam-4930	57	3	al	al	PROPN
ejpam-4930	57	4	.	.	PUNCT
ejpam-4930	58	1	[	[	X
ejpam-4930	58	2	18	18	NUM
ejpam-4930	58	3	,	,	PUNCT
ejpam-4930	58	4	19	19	NUM
ejpam-4930	58	5	]	]	PUNCT
ejpam-4930	58	6	proposed	propose	VERB
ejpam-4930	58	7	different	different	ADJ
ejpam-4930	58	8	kinds	kind	NOUN
ejpam-4930	58	9	of	of	ADP
ejpam-4930	58	10	timedelayed	timedelayed	ADJ
ejpam-4930	58	11	proportional	proportional	ADJ
ejpam-4930	58	12	-	-	PUNCT
ejpam-4930	58	13	derivative	derivative	ADJ
ejpam-4930	58	14	active	active	ADJ
ejpam-4930	58	15	controllers	controller	NOUN
ejpam-4930	58	16	in	in	ADP
ejpam-4930	58	17	order	order	NOUN
ejpam-4930	58	18	to	to	PART
ejpam-4930	58	19	mitigate	mitigate	VERB
ejpam-4930	58	20	the	the	DET
ejpam-4930	58	21	oscillations	oscillation	NOUN
ejpam-4930	58	22	in	in	ADP
ejpam-4930	58	23	a	a	DET
ejpam-4930	58	24	cantilever	cantilever	NOUN
ejpam-4930	58	25	beam	beam	NOUN
ejpam-4930	58	26	once	once	ADV
ejpam-4930	58	27	with	with	ADP
ejpam-4930	58	28	a	a	DET
ejpam-4930	58	29	lumped	lump	VERB
ejpam-4930	58	30	mass	mass	NOUN
ejpam-4930	58	31	and	and	CCONJ
ejpam-4930	58	32	another	another	PRON
ejpam-4930	58	33	with	with	ADP
ejpam-4930	58	34	an	an	DET
ejpam-4930	58	35	axial	axial	ADJ
ejpam-4930	58	36	load	load	NOUN
ejpam-4930	58	37	.	.	PUNCT
ejpam-4930	59	1	kandil	kandil	NOUN
ejpam-4930	59	2	et	et	PROPN
ejpam-4930	59	3	al	al	PROPN
ejpam-4930	59	4	.	.	PUNCT
ejpam-4930	60	1	[	[	X
ejpam-4930	60	2	14	14	NUM
ejpam-4930	60	3	]	]	PUNCT
ejpam-4930	60	4	proposed	propose	VERB
ejpam-4930	60	5	the	the	DET
ejpam-4930	60	6	control	control	NOUN
ejpam-4930	60	7	of	of	ADP
ejpam-4930	60	8	a	a	DET
ejpam-4930	60	9	mass	mass	ADJ
ejpam-4930	60	10	-	-	PUNCT
ejpam-4930	60	11	damper	damper	NOUN
ejpam-4930	60	12	-	-	PUNCT
ejpam-4930	60	13	spring	spring	NOUN
ejpam-4930	60	14	model	model	NOUN
ejpam-4930	60	15	with	with	ADP
ejpam-4930	60	16	the	the	DET
ejpam-4930	60	17	aid	aid	NOUN
ejpam-4930	60	18	of	of	ADP
ejpam-4930	60	19	servo	servo	NOUN
ejpam-4930	60	20	-	-	PUNCT
ejpam-4930	60	21	controlled	control	VERB
ejpam-4930	60	22	linear	linear	ADJ
ejpam-4930	60	23	actuator	actuator	NOUN
ejpam-4930	60	24	and	and	CCONJ
ejpam-4930	60	25	linear	linear	ADJ
ejpam-4930	60	26	variable	variable	ADJ
ejpam-4930	60	27	differential	differential	NOUN
ejpam-4930	60	28	transformer	transformer	NOUN
ejpam-4930	60	29	as	as	ADP
ejpam-4930	60	30	a	a	DET
ejpam-4930	60	31	sensor	sensor	NOUN
ejpam-4930	60	32	where	where	SCONJ
ejpam-4930	60	33	the	the	DET
ejpam-4930	60	34	control	control	NOUN
ejpam-4930	60	35	signal	signal	NOUN
ejpam-4930	60	36	was	be	AUX
ejpam-4930	60	37	proportional	proportional	ADJ
ejpam-4930	60	38	to	to	ADP
ejpam-4930	60	39	the	the	DET
ejpam-4930	60	40	mass	mass	NOUN
ejpam-4930	60	41	position	position	NOUN
ejpam-4930	60	42	.	.	PUNCT
ejpam-4930	61	1	zhou	zhou	PROPN
ejpam-4930	61	2	et	et	PROPN
ejpam-4930	61	3	al	al	PROPN
ejpam-4930	61	4	.	.	PUNCT
ejpam-4930	62	1	[	[	X
ejpam-4930	62	2	34	34	NUM
ejpam-4930	62	3	]	]	PUNCT
ejpam-4930	62	4	studied	study	VERB
ejpam-4930	62	5	the	the	DET
ejpam-4930	62	6	effect	effect	NOUN
ejpam-4930	62	7	of	of	ADP
ejpam-4930	62	8	moving	move	VERB
ejpam-4930	62	9	the	the	DET
ejpam-4930	62	10	base	base	NOUN
ejpam-4930	62	11	of	of	ADP
ejpam-4930	62	12	a	a	DET
ejpam-4930	62	13	magnetically	magnetically	ADV
ejpam-4930	62	14	coupled	couple	VERB
ejpam-4930	62	15	oscillator	oscillator	NOUN
ejpam-4930	62	16	on	on	ADP
ejpam-4930	62	17	the	the	DET
ejpam-4930	62	18	dynamical	dynamical	ADJ
ejpam-4930	62	19	behavior	behavior	NOUN
ejpam-4930	62	20	of	of	ADP
ejpam-4930	62	21	the	the	DET
ejpam-4930	62	22	saturated	saturated	ADJ
ejpam-4930	62	23	equilibrium	equilibrium	NOUN
ejpam-4930	62	24	response	response	NOUN
ejpam-4930	62	25	.	.	PUNCT
ejpam-4930	63	1	bauomy	bauomy	NOUN
ejpam-4930	63	2	and	and	CCONJ
ejpam-4930	63	3	taha	taha	PROPN
ejpam-4930	64	1	[	[	X
ejpam-4930	64	2	3	3	NUM
ejpam-4930	64	3	]	]	PUNCT
ejpam-4930	64	4	coupled	couple	VERB
ejpam-4930	64	5	a	a	DET
ejpam-4930	64	6	primary	primary	ADJ
ejpam-4930	64	7	system	system	NOUN
ejpam-4930	64	8	(	(	PUNCT
ejpam-4930	64	9	cantilever	cantilever	NOUN
ejpam-4930	64	10	beam	beam	NOUN
ejpam-4930	64	11	)	)	PUNCT
ejpam-4930	64	12	to	to	ADP
ejpam-4930	64	13	a	a	DET
ejpam-4930	64	14	secondary	secondary	ADJ
ejpam-4930	64	15	system	system	NOUN
ejpam-4930	64	16	(	(	PUNCT
ejpam-4930	64	17	nonlinear	nonlinear	ADJ
ejpam-4930	64	18	vibration	vibration	NOUN
ejpam-4930	64	19	absorber	absorber	NOUN
ejpam-4930	64	20	)	)	PUNCT
ejpam-4930	64	21	under	under	ADP
ejpam-4930	64	22	the	the	DET
ejpam-4930	64	23	effect	effect	NOUN
ejpam-4930	64	24	of	of	ADP
ejpam-4930	64	25	a	a	DET
ejpam-4930	64	26	harmonic	harmonic	ADJ
ejpam-4930	64	27	excitation	excitation	NOUN
ejpam-4930	64	28	force	force	NOUN
ejpam-4930	64	29	in	in	ADP
ejpam-4930	64	30	order	order	NOUN
ejpam-4930	64	31	to	to	PART
ejpam-4930	64	32	reduce	reduce	VERB
ejpam-4930	64	33	the	the	DET
ejpam-4930	64	34	beam	beam	NOUN
ejpam-4930	64	35	’s	’s	PART
ejpam-4930	64	36	vibrations	vibration	NOUN
ejpam-4930	64	37	.	.	PUNCT
ejpam-4930	65	1	xu	xu	PROPN
ejpam-4930	65	2	et	et	PROPN
ejpam-4930	66	1	al	al	PROPN
ejpam-4930	66	2	.	.	PUNCT
ejpam-4930	67	1	[	[	X
ejpam-4930	67	2	32	32	NUM
ejpam-4930	67	3	]	]	PUNCT
ejpam-4930	67	4	evaluated	evaluate	VERB
ejpam-4930	67	5	the	the	DET
ejpam-4930	67	6	designs	design	NOUN
ejpam-4930	67	7	of	of	ADP
ejpam-4930	67	8	h2	h2	NOUN
ejpam-4930	67	9	and	and	CCONJ
ejpam-4930	67	10	h∞	h∞	NOUN
ejpam-4930	67	11	techniques	technique	NOUN
ejpam-4930	67	12	with	with	ADP
ejpam-4930	67	13	tuned	tune	VERB
ejpam-4930	67	14	inerter	inerter	ADJ
ejpam-4930	67	15	damper	damper	NOUN
ejpam-4930	67	16	(	(	PUNCT
ejpam-4930	67	17	tid	tid	NOUN
ejpam-4930	67	18	)	)	PUNCT
ejpam-4930	67	19	on	on	ADP
ejpam-4930	67	20	the	the	DET
ejpam-4930	67	21	damped	damped	NOUN
ejpam-4930	67	22	structures	structure	NOUN
ejpam-4930	67	23	in	in	ADP
ejpam-4930	67	24	order	order	NOUN
ejpam-4930	67	25	to	to	PART
ejpam-4930	67	26	obtain	obtain	VERB
ejpam-4930	67	27	the	the	DET
ejpam-4930	67	28	frequency	frequency	NOUN
ejpam-4930	67	29	response	response	NOUN
ejpam-4930	67	30	function	function	NOUN
ejpam-4930	67	31	of	of	ADP
ejpam-4930	67	32	the	the	DET
ejpam-4930	67	33	equipped	equip	VERB
ejpam-4930	67	34	system	system	NOUN
ejpam-4930	67	35	with	with	ADP
ejpam-4930	67	36	tids	tid	NOUN
ejpam-4930	67	37	.	.	PUNCT
ejpam-4930	68	1	wang	wang	PROPN
ejpam-4930	68	2	et	et	PROPN
ejpam-4930	68	3	al	al	PROPN
ejpam-4930	68	4	.	.	PUNCT
ejpam-4930	69	1	[	[	X
ejpam-4930	69	2	30	30	NUM
ejpam-4930	69	3	]	]	PUNCT
ejpam-4930	69	4	proposed	propose	VERB
ejpam-4930	69	5	a	a	DET
ejpam-4930	69	6	meta	meta	ADJ
ejpam-4930	69	7	-	-	PUNCT
ejpam-4930	69	8	structure	structure	NOUN
ejpam-4930	69	9	of	of	ADP
ejpam-4930	69	10	low	low	ADJ
ejpam-4930	69	11	-	-	PUNCT
ejpam-4930	69	12	frequency	frequency	NOUN
ejpam-4930	69	13	multi	multi	NOUN
ejpam-4930	69	14	-	-	NOUN
ejpam-4930	69	15	layers	layer	NOUN
ejpam-4930	69	16	for	for	ADP
ejpam-4930	69	17	reducing	reduce	VERB
ejpam-4930	69	18	the	the	DET
ejpam-4930	69	19	broadband	broadband	NOUN
ejpam-4930	69	20	vibrations	vibration	NOUN
ejpam-4930	69	21	where	where	SCONJ
ejpam-4930	69	22	the	the	DET
ejpam-4930	69	23	time	time	NOUN
ejpam-4930	69	24	delay	delay	NOUN
ejpam-4930	69	25	effect	effect	NOUN
ejpam-4930	69	26	was	be	AUX
ejpam-4930	69	27	studied	study	VERB
ejpam-4930	69	28	as	as	ADV
ejpam-4930	69	29	well	well	ADV
ejpam-4930	69	30	.	.	PUNCT
ejpam-4930	70	1	kandil	kandil	PROPN
ejpam-4930	70	2	et	et	PROPN
ejpam-4930	70	3	al	al	PROPN
ejpam-4930	70	4	.	.	PUNCT
ejpam-4930	71	1	[	[	X
ejpam-4930	71	2	12	12	NUM
ejpam-4930	71	3	,	,	PUNCT
ejpam-4930	71	4	13	13	NUM
ejpam-4930	71	5	,	,	PUNCT
ejpam-4930	71	6	15	15	NUM
ejpam-4930	71	7	]	]	PUNCT
ejpam-4930	71	8	suggested	suggest	VERB
ejpam-4930	71	9	different	different	ADJ
ejpam-4930	71	10	techniques	technique	NOUN
ejpam-4930	71	11	for	for	ADP
ejpam-4930	71	12	controlling	control	VERB
ejpam-4930	71	13	the	the	DET
ejpam-4930	71	14	vibrations	vibration	NOUN
ejpam-4930	71	15	of	of	ADP
ejpam-4930	71	16	a	a	DET
ejpam-4930	71	17	halfcar	halfcar	ADJ
ejpam-4930	71	18	model	model	NOUN
ejpam-4930	71	19	in	in	ADP
ejpam-4930	71	20	case	case	NOUN
ejpam-4930	71	21	of	of	ADP
ejpam-4930	71	22	primary	primary	ADJ
ejpam-4930	71	23	,	,	PUNCT
ejpam-4930	71	24	super	super	ADJ
ejpam-4930	71	25	-	-	ADJ
ejpam-4930	71	26	harmonic	harmonic	ADJ
ejpam-4930	71	27	,	,	PUNCT
ejpam-4930	71	28	and	and	CCONJ
ejpam-4930	71	29	sub	sub	ADJ
ejpam-4930	71	30	-	-	ADJ
ejpam-4930	71	31	harmonic	harmonic	ADJ
ejpam-4930	71	32	resonance	resonance	NOUN
ejpam-4930	71	33	cases	case	NOUN
ejpam-4930	71	34	.	.	PUNCT
ejpam-4930	72	1	they	they	PRON
ejpam-4930	72	2	applied	apply	VERB
ejpam-4930	72	3	the	the	DET
ejpam-4930	72	4	well	well	ADV
ejpam-4930	72	5	-	-	PUNCT
ejpam-4930	72	6	known	know	VERB
ejpam-4930	72	7	nonlinear	nonlinear	ADJ
ejpam-4930	72	8	saturation	saturation	NOUN
ejpam-4930	72	9	controller	controller	NOUN
ejpam-4930	72	10	and	and	CCONJ
ejpam-4930	72	11	a	a	DET
ejpam-4930	72	12	new	new	ADJ
ejpam-4930	72	13	cubic	cubic	ADJ
ejpam-4930	72	14	-	-	PUNCT
ejpam-4930	72	15	position	position	NOUN
ejpam-4930	72	16	-	-	PUNCT
ejpam-4930	72	17	negativevelocity	negativevelocity	NOUN
ejpam-4930	72	18	feedback	feedback	NOUN
ejpam-4930	72	19	controller	controller	NOUN
ejpam-4930	72	20	for	for	ADP
ejpam-4930	72	21	the	the	DET
ejpam-4930	72	22	mentioned	mention	VERB
ejpam-4930	72	23	resonance	resonance	NOUN
ejpam-4930	72	24	cases	case	NOUN
ejpam-4930	72	25	.	.	PUNCT
ejpam-4930	73	1	liu	liu	PROPN
ejpam-4930	73	2	et	et	PROPN
ejpam-4930	73	3	al	al	PROPN
ejpam-4930	73	4	.	.	PUNCT
ejpam-4930	74	1	[	[	X
ejpam-4930	74	2	20	20	NUM
ejpam-4930	74	3	]	]	PUNCT
ejpam-4930	74	4	combined	combine	VERB
ejpam-4930	74	5	a	a	DET
ejpam-4930	74	6	graphene	graphene	ADJ
ejpam-4930	74	7	sheet	sheet	NOUN
ejpam-4930	74	8	of	of	ADP
ejpam-4930	74	9	a	a	DET
ejpam-4930	74	10	single	single	ADJ
ejpam-4930	74	11	layer	layer	NOUN
ejpam-4930	74	12	resting	rest	VERB
ejpam-4930	74	13	on	on	ADP
ejpam-4930	74	14	a	a	DET
ejpam-4930	74	15	visco	visco	ADJ
ejpam-4930	74	16	-	-	PUNCT
ejpam-4930	74	17	pasternak	pasternak	ADJ
ejpam-4930	74	18	foundation	foundation	NOUN
ejpam-4930	74	19	excited	excite	VERB
ejpam-4930	74	20	by	by	ADP
ejpam-4930	74	21	a	a	DET
ejpam-4930	74	22	dualfrequency	dualfrequency	NOUN
ejpam-4930	74	23	force	force	NOUN
ejpam-4930	74	24	where	where	SCONJ
ejpam-4930	74	25	a	a	DET
ejpam-4930	74	26	time	time	NOUN
ejpam-4930	74	27	-	-	PUNCT
ejpam-4930	74	28	delayed	delay	VERB
ejpam-4930	74	29	proportional	proportional	ADJ
ejpam-4930	74	30	-	-	PUNCT
ejpam-4930	74	31	derivative	derivative	ADJ
ejpam-4930	74	32	controller	controller	NOUN
ejpam-4930	74	33	was	be	AUX
ejpam-4930	74	34	applied	apply	VERB
ejpam-4930	74	35	for	for	ADP
ejpam-4930	74	36	the	the	DET
ejpam-4930	74	37	first	first	ADJ
ejpam-4930	74	38	time	time	NOUN
ejpam-4930	74	39	.	.	PUNCT
ejpam-4930	75	1	saeed	saeed	PROPN
ejpam-4930	75	2	et	et	PROPN
ejpam-4930	75	3	al	al	PROPN
ejpam-4930	75	4	.	.	PUNCT
ejpam-4930	76	1	[	[	X
ejpam-4930	76	2	28	28	NUM
ejpam-4930	76	3	]	]	X
ejpam-4930	76	4	utilized	utilize	VERB
ejpam-4930	76	5	the	the	DET
ejpam-4930	76	6	irc	irc	NOUN
ejpam-4930	76	7	technique	technique	NOUN
ejpam-4930	76	8	for	for	ADP
ejpam-4930	76	9	reducing	reduce	VERB
ejpam-4930	76	10	the	the	DET
ejpam-4930	76	11	lateral	lateral	ADJ
ejpam-4930	76	12	(	(	PUNCT
ejpam-4930	76	13	horizontal	horizontal	ADJ
ejpam-4930	76	14	and	and	CCONJ
ejpam-4930	76	15	vertical	vertical	ADJ
ejpam-4930	76	16	)	)	PUNCT
ejpam-4930	76	17	oscillations	oscillation	NOUN
ejpam-4930	76	18	of	of	ADP
ejpam-4930	76	19	the	the	DET
ejpam-4930	76	20	rotor	rotor	NOUN
ejpam-4930	76	21	active	active	ADJ
ejpam-4930	76	22	magnetic	magnetic	ADJ
ejpam-4930	76	23	bearings	bearing	NOUN
ejpam-4930	76	24	system	system	NOUN
ejpam-4930	76	25	for	for	ADP
ejpam-4930	76	26	the	the	DET
ejpam-4930	76	27	first	first	ADJ
ejpam-4930	76	28	time	time	NOUN
ejpam-4930	76	29	.	.	PUNCT
ejpam-4930	77	1	geng	geng	PROPN
ejpam-4930	77	2	et	et	PROPN
ejpam-4930	77	3	al	al	PROPN
ejpam-4930	77	4	.	.	PUNCT
ejpam-4930	78	1	[	[	X
ejpam-4930	78	2	9	9	NUM
ejpam-4930	78	3	]	]	PUNCT
ejpam-4930	78	4	limited	limit	VERB
ejpam-4930	78	5	the	the	DET
ejpam-4930	78	6	high	high	ADJ
ejpam-4930	78	7	oscillations	oscillation	NOUN
ejpam-4930	78	8	of	of	ADP
ejpam-4930	78	9	a	a	DET
ejpam-4930	78	10	nonlinear	nonlinear	ADJ
ejpam-4930	78	11	energy	energy	NOUN
ejpam-4930	78	12	sink	sink	NOUN
ejpam-4930	78	13	by	by	ADP
ejpam-4930	78	14	improving	improve	VERB
ejpam-4930	78	15	its	its	PRON
ejpam-4930	78	16	reliability	reliability	NOUN
ejpam-4930	78	17	with	with	ADP
ejpam-4930	78	18	a	a	DET
ejpam-4930	78	19	contactless	contactless	ADJ
ejpam-4930	78	20	magnetic	magnetic	ADJ
ejpam-4930	78	21	force	force	NOUN
ejpam-4930	78	22	where	where	SCONJ
ejpam-4930	78	23	the	the	DET
ejpam-4930	78	24	dynamical	dynamical	ADJ
ejpam-4930	78	25	characteristics	characteristic	NOUN
ejpam-4930	78	26	were	be	AUX
ejpam-4930	78	27	analyzed	analyze	VERB
ejpam-4930	78	28	via	via	ADP
ejpam-4930	78	29	analytical	analytical	ADJ
ejpam-4930	78	30	and	and	CCONJ
ejpam-4930	78	31	numerical	numerical	ADJ
ejpam-4930	78	32	approaches	approach	NOUN
ejpam-4930	78	33	.	.	PUNCT
ejpam-4930	79	1	mohanty	mohanty	PROPN
ejpam-4930	79	2	and	and	CCONJ
ejpam-4930	79	3	dwivedy	dwivedy	VERB
ejpam-4930	79	4	[	[	X
ejpam-4930	79	5	22	22	NUM
ejpam-4930	79	6	]	]	PUNCT
ejpam-4930	79	7	proposed	propose	VERB
ejpam-4930	79	8	a	a	DET
ejpam-4930	79	9	non	non	ADJ
ejpam-4930	79	10	-	-	ADJ
ejpam-4930	79	11	traditional	traditional	ADJ
ejpam-4930	79	12	nonlinear	nonlinear	ADJ
ejpam-4930	79	13	absorber	absorber	NOUN
ejpam-4930	79	14	in	in	ADP
ejpam-4930	79	15	order	order	NOUN
ejpam-4930	79	16	to	to	PART
ejpam-4930	79	17	suppress	suppress	VERB
ejpam-4930	79	18	the	the	DET
ejpam-4930	79	19	oscillations	oscillation	NOUN
ejpam-4930	79	20	of	of	ADP
ejpam-4930	79	21	a	a	DET
ejpam-4930	79	22	base	base	NOUN
ejpam-4930	79	23	-	-	PUNCT
ejpam-4930	79	24	excited	excite	VERB
ejpam-4930	79	25	nonlinear	nonlinear	ADJ
ejpam-4930	79	26	mass	mass	ADJ
ejpam-4930	79	27	-	-	PUNCT
ejpam-4930	79	28	spring	spring	NOUN
ejpam-4930	79	29	model	model	NOUN
ejpam-4930	79	30	excited	excite	VERB
ejpam-4930	79	31	by	by	ADP
ejpam-4930	79	32	hard	hard	ADJ
ejpam-4930	79	33	external	external	ADJ
ejpam-4930	79	34	and	and	CCONJ
ejpam-4930	79	35	parametric	parametric	ADJ
ejpam-4930	79	36	forces	force	NOUN
ejpam-4930	79	37	.	.	PUNCT
ejpam-4930	80	1	zhang	zhang	PROPN
ejpam-4930	80	2	et	et	PROPN
ejpam-4930	80	3	al	al	PROPN
ejpam-4930	80	4	.	.	PUNCT
ejpam-4930	81	1	[	[	X
ejpam-4930	81	2	33	33	NUM
ejpam-4930	81	3	]	]	PUNCT
ejpam-4930	81	4	mixed	mix	VERB
ejpam-4930	81	5	a	a	DET
ejpam-4930	81	6	nonlinear	nonlinear	ADJ
ejpam-4930	81	7	energy	energy	NOUN
ejpam-4930	81	8	sink	sink	NOUN
ejpam-4930	81	9	with	with	ADP
ejpam-4930	81	10	an	an	DET
ejpam-4930	81	11	internal	internal	ADJ
ejpam-4930	81	12	oscillator	oscillator	NOUN
ejpam-4930	81	13	to	to	PART
ejpam-4930	81	14	control	control	VERB
ejpam-4930	81	15	the	the	DET
ejpam-4930	81	16	vibrations	vibration	NOUN
ejpam-4930	81	17	of	of	ADP
ejpam-4930	81	18	laminated	laminated	ADJ
ejpam-4930	81	19	composite	composite	ADJ
ejpam-4930	81	20	plates	plate	NOUN
ejpam-4930	81	21	where	where	SCONJ
ejpam-4930	81	22	the	the	DET
ejpam-4930	81	23	efficiency	efficiency	NOUN
ejpam-4930	81	24	of	of	ADP
ejpam-4930	81	25	that	that	DET
ejpam-4930	81	26	mix	mix	NOUN
ejpam-4930	81	27	is	be	AUX
ejpam-4930	81	28	better	well	ADJ
ejpam-4930	81	29	in	in	ADP
ejpam-4930	81	30	frequency	frequency	NOUN
ejpam-4930	81	31	responses	response	NOUN
ejpam-4930	81	32	and	and	CCONJ
ejpam-4930	81	33	energy	energy	NOUN
ejpam-4930	81	34	dissipation	dissipation	NOUN
ejpam-4930	81	35	.	.	PUNCT
ejpam-4930	82	1	this	this	DET
ejpam-4930	82	2	work	work	NOUN
ejpam-4930	82	3	introduces	introduce	VERB
ejpam-4930	82	4	the	the	DET
ejpam-4930	82	5	modeling	modeling	NOUN
ejpam-4930	82	6	of	of	ADP
ejpam-4930	82	7	a	a	DET
ejpam-4930	82	8	horizontallysupported	horizontallysupported	ADJ
ejpam-4930	82	9	car	car	NOUN
ejpam-4930	82	10	’s	’s	PART
ejpam-4930	82	11	motion	motion	NOUN
ejpam-4930	82	12	under	under	ADP
ejpam-4930	82	13	the	the	DET
ejpam-4930	82	14	effect	effect	NOUN
ejpam-4930	82	15	of	of	ADP
ejpam-4930	82	16	a	a	DET
ejpam-4930	82	17	nonlinear	nonlinear	ADJ
ejpam-4930	82	18	spring	spring	NOUN
ejpam-4930	82	19	,	,	PUNCT
ejpam-4930	82	20	a	a	DET
ejpam-4930	82	21	damper	damper	NOUN
ejpam-4930	82	22	,	,	PUNCT
ejpam-4930	82	23	and	and	CCONJ
ejpam-4930	82	24	a	a	DET
ejpam-4930	82	25	harmonic	harmonic	ADJ
ejpam-4930	82	26	excitation	excitation	NOUN
ejpam-4930	82	27	external	external	ADJ
ejpam-4930	82	28	force	force	NOUN
ejpam-4930	82	29	.	.	PUNCT
ejpam-4930	83	1	the	the	DET
ejpam-4930	83	2	car	car	NOUN
ejpam-4930	83	3	’s	’s	PART
ejpam-4930	83	4	oscillations	oscillation	NOUN
ejpam-4930	83	5	can	can	AUX
ejpam-4930	83	6	be	be	AUX
ejpam-4930	83	7	controlled	control	VERB
ejpam-4930	83	8	via	via	ADP
ejpam-4930	83	9	an	an	DET
ejpam-4930	83	10	integral	integral	ADJ
ejpam-4930	83	11	resonant	resonant	ADJ
ejpam-4930	83	12	controller	controller	NOUN
ejpam-4930	83	13	whose	whose	DET
ejpam-4930	83	14	operation	operation	NOUN
ejpam-4930	83	15	is	be	AUX
ejpam-4930	83	16	fulfilled	fulfil	VERB
ejpam-4930	83	17	via	via	ADP
ejpam-4930	83	18	a	a	DET
ejpam-4930	83	19	linear	linear	ADJ
ejpam-4930	83	20	variable	variable	ADJ
ejpam-4930	83	21	differential	differential	NOUN
ejpam-4930	83	22	transformer	transformer	NOUN
ejpam-4930	83	23	and	and	CCONJ
ejpam-4930	83	24	a	a	DET
ejpam-4930	83	25	servo	servo	NOUN
ejpam-4930	83	26	-	-	PUNCT
ejpam-4930	83	27	controlled	control	VERB
ejpam-4930	83	28	linear	linear	ADJ
ejpam-4930	83	29	actuator	actuator	NOUN
ejpam-4930	83	30	.	.	PUNCT
ejpam-4930	84	1	the	the	DET
ejpam-4930	84	2	multiple	multiple	ADJ
ejpam-4930	84	3	scales	scale	VERB
ejpam-4930	84	4	perturbation	perturbation	NOUN
ejpam-4930	84	5	technique	technique	NOUN
ejpam-4930	84	6	is	be	AUX
ejpam-4930	84	7	adopted	adopt	VERB
ejpam-4930	84	8	to	to	PART
ejpam-4930	84	9	seek	seek	VERB
ejpam-4930	84	10	an	an	DET
ejpam-4930	84	11	approximate	approximate	ADJ
ejpam-4930	84	12	solution	solution	NOUN
ejpam-4930	84	13	of	of	ADP
ejpam-4930	84	14	the	the	DET
ejpam-4930	84	15	proposed	propose	VERB
ejpam-4930	84	16	nonlinear	nonlinear	ADJ
ejpam-4930	84	17	system	system	NOUN
ejpam-4930	84	18	of	of	ADP
ejpam-4930	84	19	equations	equation	NOUN
ejpam-4930	84	20	.	.	PUNCT
ejpam-4930	85	1	in	in	ADP
ejpam-4930	85	2	addition	addition	NOUN
ejpam-4930	85	3	,	,	PUNCT
ejpam-4930	85	4	a	a	DET
ejpam-4930	85	5	stability	stability	NOUN
ejpam-4930	85	6	analysis	analysis	NOUN
ejpam-4930	85	7	is	be	AUX
ejpam-4930	85	8	achieved	achieve	VERB
ejpam-4930	85	9	in	in	ADP
ejpam-4930	85	10	order	order	NOUN
ejpam-4930	85	11	to	to	PART
ejpam-4930	85	12	determine	determine	VERB
ejpam-4930	85	13	whether	whether	SCONJ
ejpam-4930	85	14	the	the	DET
ejpam-4930	85	15	extracted	extract	VERB
ejpam-4930	85	16	approximate	approximate	ADJ
ejpam-4930	85	17	solution	solution	NOUN
ejpam-4930	85	18	is	be	AUX
ejpam-4930	85	19	stable	stable	ADJ
ejpam-4930	85	20	or	or	CCONJ
ejpam-4930	85	21	not	not	PART
ejpam-4930	85	22	.	.	PUNCT
ejpam-4930	86	1	several	several	ADJ
ejpam-4930	86	2	response	response	NOUN
ejpam-4930	86	3	curves	curve	NOUN
ejpam-4930	86	4	are	be	AUX
ejpam-4930	86	5	plotted	plot	VERB
ejpam-4930	86	6	for	for	ADP
ejpam-4930	86	7	clarifying	clarify	VERB
ejpam-4930	86	8	the	the	DET
ejpam-4930	86	9	concept	concept	NOUN
ejpam-4930	86	10	of	of	ADP
ejpam-4930	86	11	the	the	DET
ejpam-4930	86	12	proposed	propose	VERB
ejpam-4930	86	13	control	control	NOUN
ejpam-4930	86	14	algorithm	algorithm	NOUN
ejpam-4930	86	15	.	.	PUNCT
ejpam-4930	87	1	we	we	PRON
ejpam-4930	87	2	discuss	discuss	VERB
ejpam-4930	87	3	this	this	DET
ejpam-4930	87	4	problem	problem	NOUN
ejpam-4930	87	5	from	from	ADP
ejpam-4930	87	6	a	a	DET
ejpam-4930	87	7	mathematical	mathematical	ADJ
ejpam-4930	87	8	background	background	NOUN
ejpam-4930	87	9	with	with	ADP
ejpam-4930	87	10	stating	state	VERB
ejpam-4930	87	11	all	all	DET
ejpam-4930	87	12	the	the	DET
ejpam-4930	87	13	assumptions	assumption	NOUN
ejpam-4930	87	14	clearly	clearly	ADV
ejpam-4930	87	15	in	in	ADP
ejpam-4930	87	16	the	the	DET
ejpam-4930	87	17	paper	paper	NOUN
ejpam-4930	87	18	.	.	PUNCT
ejpam-4930	88	1	we	we	PRON
ejpam-4930	88	2	know	know	VERB
ejpam-4930	88	3	that	that	SCONJ
ejpam-4930	88	4	it	it	PRON
ejpam-4930	88	5	may	may	AUX
ejpam-4930	88	6	be	be	AUX
ejpam-4930	88	7	far	far	ADV
ejpam-4930	88	8	from	from	ADP
ejpam-4930	88	9	a.	a.	NOUN
ejpam-4930	88	10	kandil	kandil	PROPN
ejpam-4930	88	11	,	,	PUNCT
ejpam-4930	88	12	y.	y.	PROPN
ejpam-4930	88	13	s.	s.	PROPN
ejpam-4930	88	14	hamed	hamed	PROPN
ejpam-4930	88	15	/	/	SYM
ejpam-4930	88	16	eur	eur	PROPN
ejpam-4930	88	17	.	.	PUNCT
ejpam-4930	89	1	j.	j.	PROPN
ejpam-4930	89	2	pure	pure	PROPN
ejpam-4930	89	3	appl	appl	PROPN
ejpam-4930	89	4	.	.	PROPN
ejpam-4930	89	5	math	math	PROPN
ejpam-4930	89	6	,	,	PUNCT
ejpam-4930	89	7	16	16	NUM
ejpam-4930	89	8	(	(	PUNCT
ejpam-4930	89	9	4	4	NUM
ejpam-4930	89	10	)	)	PUNCT
ejpam-4930	89	11	(	(	PUNCT
ejpam-4930	89	12	2023	2023	NUM
ejpam-4930	89	13	)	)	PUNCT
ejpam-4930	89	14	,	,	PUNCT
ejpam-4930	89	15	2729	2729	NUM
ejpam-4930	89	16	-	-	SYM
ejpam-4930	89	17	2750	2750	NUM
ejpam-4930	89	18	2732	2732	NUM
ejpam-4930	89	19	the	the	DET
ejpam-4930	89	20	actual	actual	ADJ
ejpam-4930	89	21	automobile	automobile	NOUN
ejpam-4930	89	22	system	system	NOUN
ejpam-4930	89	23	.	.	PUNCT
ejpam-4930	90	1	but	but	CCONJ
ejpam-4930	90	2	we	we	PRON
ejpam-4930	90	3	want	want	VERB
ejpam-4930	90	4	to	to	PART
ejpam-4930	90	5	say	say	VERB
ejpam-4930	90	6	that	that	SCONJ
ejpam-4930	90	7	the	the	DET
ejpam-4930	90	8	ir	ir	PROPN
ejpam-4930	90	9	controller	controller	NOUN
ejpam-4930	90	10	may	may	AUX
ejpam-4930	90	11	have	have	VERB
ejpam-4930	90	12	a	a	DET
ejpam-4930	90	13	vibration	vibration	NOUN
ejpam-4930	90	14	suppression	suppression	NOUN
ejpam-4930	90	15	effect	effect	NOUN
ejpam-4930	90	16	on	on	ADP
ejpam-4930	90	17	the	the	DET
ejpam-4930	90	18	model	model	NOUN
ejpam-4930	90	19	’s	’s	PART
ejpam-4930	90	20	oscillations	oscillation	NOUN
ejpam-4930	90	21	based	base	VERB
ejpam-4930	90	22	on	on	ADP
ejpam-4930	90	23	mathematical	mathematical	ADJ
ejpam-4930	90	24	proof	proof	NOUN
ejpam-4930	90	25	.	.	PUNCT
ejpam-4930	91	1	in	in	ADP
ejpam-4930	91	2	the	the	DET
ejpam-4930	91	3	future	future	NOUN
ejpam-4930	91	4	,	,	PUNCT
ejpam-4930	91	5	we	we	PRON
ejpam-4930	91	6	are	be	AUX
ejpam-4930	91	7	going	go	VERB
ejpam-4930	91	8	to	to	PART
ejpam-4930	91	9	enroll	enroll	VERB
ejpam-4930	91	10	automobile	automobile	NOUN
ejpam-4930	91	11	real	real	ADJ
ejpam-4930	91	12	-	-	PUNCT
ejpam-4930	91	13	life	life	NOUN
ejpam-4930	91	14	simulations	simulation	NOUN
ejpam-4930	91	15	from	from	ADP
ejpam-4930	91	16	licensed	licensed	ADJ
ejpam-4930	91	17	software	software	NOUN
ejpam-4930	91	18	to	to	PART
ejpam-4930	91	19	simulate	simulate	VERB
ejpam-4930	91	20	such	such	ADJ
ejpam-4930	91	21	automobile	automobile	NOUN
ejpam-4930	91	22	motions	motion	NOUN
ejpam-4930	91	23	under	under	ADP
ejpam-4930	91	24	the	the	DET
ejpam-4930	91	25	proposed	propose	VERB
ejpam-4930	91	26	control	control	NOUN
ejpam-4930	91	27	.	.	PUNCT
ejpam-4930	92	1	2	2	X
ejpam-4930	92	2	.	.	X
ejpam-4930	92	3	car	car	NOUN
ejpam-4930	92	4	’s	’s	PART
ejpam-4930	92	5	motion	motion	NOUN
ejpam-4930	92	6	dynamical	dynamical	ADJ
ejpam-4930	92	7	equation	equation	NOUN
ejpam-4930	92	8	and	and	CCONJ
ejpam-4930	92	9	its	its	PRON
ejpam-4930	92	10	approximate	approximate	ADJ
ejpam-4930	92	11	solution	solution	NOUN
ejpam-4930	92	12	figure	figure	NOUN
ejpam-4930	92	13	1a	1a	PROPN
ejpam-4930	92	14	shows	show	VERB
ejpam-4930	92	15	a	a	DET
ejpam-4930	92	16	car	car	NOUN
ejpam-4930	92	17	(	(	PUNCT
ejpam-4930	92	18	of	of	ADP
ejpam-4930	92	19	mass	mass	PROPN
ejpam-4930	92	20	m	m	PROPN
ejpam-4930	92	21	)	)	PUNCT
ejpam-4930	92	22	which	which	PRON
ejpam-4930	92	23	is	be	AUX
ejpam-4930	92	24	horizontally	horizontally	ADV
ejpam-4930	92	25	-	-	PUNCT
ejpam-4930	92	26	supported	support	VERB
ejpam-4930	92	27	with	with	ADP
ejpam-4930	92	28	a	a	DET
ejpam-4930	92	29	nonlinear	nonlinear	ADJ
ejpam-4930	92	30	spring	spring	NOUN
ejpam-4930	92	31	of	of	ADP
ejpam-4930	92	32	stiffness	stiffness	ADJ
ejpam-4930	92	33	c1	c1	NOUN
ejpam-4930	92	34	and	and	CCONJ
ejpam-4930	92	35	c2	c2	PROPN
ejpam-4930	92	36	and	and	CCONJ
ejpam-4930	92	37	a	a	DET
ejpam-4930	92	38	damper	damper	NOUN
ejpam-4930	92	39	of	of	ADP
ejpam-4930	92	40	viscosity	viscosity	NOUN
ejpam-4930	92	41	factor	factor	NOUN
ejpam-4930	92	42	c.	c.	PROPN
ejpam-4930	92	43	the	the	DET
ejpam-4930	92	44	car	car	NOUN
ejpam-4930	92	45	is	be	AUX
ejpam-4930	92	46	also	also	ADV
ejpam-4930	92	47	excited	excite	VERB
ejpam-4930	92	48	by	by	ADP
ejpam-4930	92	49	an	an	DET
ejpam-4930	92	50	unwanted	unwanted	ADJ
ejpam-4930	92	51	harmonic	harmonic	ADJ
ejpam-4930	92	52	force	force	NOUN
ejpam-4930	92	53	f	f	PROPN
ejpam-4930	92	54	cos	cos	PROPN
ejpam-4930	92	55	(	(	PUNCT
ejpam-4930	92	56	ωt	ωt	PROPN
ejpam-4930	92	57	)	)	PUNCT
ejpam-4930	92	58	that	that	PRON
ejpam-4930	92	59	causes	cause	VERB
ejpam-4930	92	60	the	the	DET
ejpam-4930	92	61	car	car	NOUN
ejpam-4930	92	62	exhibit	exhibit	VERB
ejpam-4930	92	63	undesired	undesired	ADJ
ejpam-4930	92	64	horizontal	horizontal	ADJ
ejpam-4930	92	65	oscillations	oscillation	NOUN
ejpam-4930	92	66	x(t	x(t	PROPN
ejpam-4930	92	67	)	)	PUNCT
ejpam-4930	92	68	.	.	PUNCT
ejpam-4930	93	1	these	these	DET
ejpam-4930	93	2	oscillations	oscillation	NOUN
ejpam-4930	93	3	are	be	AUX
ejpam-4930	93	4	to	to	PART
ejpam-4930	93	5	be	be	AUX
ejpam-4930	93	6	controlled	control	VERB
ejpam-4930	93	7	via	via	ADP
ejpam-4930	93	8	the	the	DET
ejpam-4930	93	9	control	control	NOUN
ejpam-4930	93	10	unit	unit	NOUN
ejpam-4930	93	11	that	that	PRON
ejpam-4930	93	12	is	be	AUX
ejpam-4930	93	13	detailed	detail	VERB
ejpam-4930	93	14	in	in	ADP
ejpam-4930	93	15	fig	fig	NOUN
ejpam-4930	93	16	.	.	PUNCT
ejpam-4930	94	1	1b	1b	NUM
ejpam-4930	94	2	.	.	PUNCT
ejpam-4930	95	1	figure	figure	VERB
ejpam-4930	95	2	1	1	NUM
ejpam-4930	95	3	:	:	PUNCT
ejpam-4930	95	4	(	(	PUNCT
ejpam-4930	95	5	left	left	ADJ
ejpam-4930	95	6	)	)	PUNCT
ejpam-4930	95	7	horizontally	horizontally	ADV
ejpam-4930	95	8	-	-	PUNCT
ejpam-4930	95	9	supported	support	VERB
ejpam-4930	95	10	car	car	NOUN
ejpam-4930	95	11	connected	connect	VERB
ejpam-4930	95	12	to	to	ADP
ejpam-4930	95	13	a	a	DET
ejpam-4930	95	14	control	control	NOUN
ejpam-4930	95	15	unit	unit	NOUN
ejpam-4930	95	16	,	,	PUNCT
ejpam-4930	95	17	(	(	PUNCT
ejpam-4930	95	18	right	right	ADJ
ejpam-4930	95	19	)	)	PUNCT
ejpam-4930	95	20	detailed	detailed	ADJ
ejpam-4930	95	21	control	control	NOUN
ejpam-4930	95	22	unit	unit	NOUN
ejpam-4930	95	23	herein	herein	NOUN
ejpam-4930	95	24	,	,	PUNCT
ejpam-4930	95	25	the	the	DET
ejpam-4930	95	26	external	external	ADJ
ejpam-4930	95	27	forces	force	NOUN
ejpam-4930	95	28	are	be	AUX
ejpam-4930	95	29	the	the	DET
ejpam-4930	95	30	harmonic	harmonic	ADJ
ejpam-4930	95	31	force	force	NOUN
ejpam-4930	95	32	f	f	PROPN
ejpam-4930	95	33	cos	cos	PROPN
ejpam-4930	95	34	(	(	PUNCT
ejpam-4930	95	35	ωt	ωt	PROPN
ejpam-4930	95	36	)	)	PUNCT
ejpam-4930	95	37	and	and	CCONJ
ejpam-4930	95	38	the	the	DET
ejpam-4930	95	39	control	control	PROPN
ejpam-4930	95	40	unit	unit	PROPN
ejpam-4930	95	41	force	force	PROPN
ejpam-4930	95	42	fc(t	fc(t	PROPN
ejpam-4930	95	43	)	)	PUNCT
ejpam-4930	95	44	,	,	PUNCT
ejpam-4930	95	45	while	while	SCONJ
ejpam-4930	95	46	the	the	DET
ejpam-4930	95	47	only	only	ADJ
ejpam-4930	95	48	dissipative	dissipative	ADJ
ejpam-4930	95	49	force	force	NOUN
ejpam-4930	95	50	is	be	AUX
ejpam-4930	95	51	the	the	DET
ejpam-4930	95	52	damper	damper	NOUN
ejpam-4930	95	53	’s	’s	PART
ejpam-4930	95	54	force	force	NOUN
ejpam-4930	95	55	which	which	PRON
ejpam-4930	95	56	opposes	oppose	VERB
ejpam-4930	95	57	the	the	DET
ejpam-4930	95	58	motion	motion	NOUN
ejpam-4930	95	59	direction	direction	NOUN
ejpam-4930	95	60	,	,	PUNCT
ejpam-4930	95	61	i.e.	i.e.	X
ejpam-4930	95	62	−cv	−cv	NOUN
ejpam-4930	95	63	or	or	CCONJ
ejpam-4930	95	64	−cẋ.	−cẋ.	NOUN
ejpam-4930	95	65	using	use	VERB
ejpam-4930	95	66	all	all	PRON
ejpam-4930	95	67	of	of	ADP
ejpam-4930	95	68	these	these	DET
ejpam-4930	95	69	quantities	quantity	NOUN
ejpam-4930	95	70	leads	lead	VERB
ejpam-4930	95	71	to	to	ADP
ejpam-4930	95	72	the	the	DET
ejpam-4930	95	73	following	follow	VERB
ejpam-4930	95	74	equation	equation	NOUN
ejpam-4930	95	75	of	of	ADP
ejpam-4930	95	76	motion	motion	NOUN
ejpam-4930	95	77	mẍ+	mẍ+	PROPN
ejpam-4930	95	78	cẋ+	cẋ+	PROPN
ejpam-4930	95	79	c1x+	c1x+	PROPN
ejpam-4930	95	80	c2x	c2x	PROPN
ejpam-4930	95	81	3	3	NUM
ejpam-4930	95	82	=	=	SYM
ejpam-4930	95	83	f	f	PROPN
ejpam-4930	95	84	cos(ωt	cos(ωt	PRON
ejpam-4930	95	85	)	)	PUNCT
ejpam-4930	95	86	+	+	SYM
ejpam-4930	95	87	fc(t	fc(t	NOUN
ejpam-4930	95	88	)	)	PUNCT
ejpam-4930	95	89	(	(	PUNCT
ejpam-4930	95	90	1	1	X
ejpam-4930	95	91	)	)	PUNCT
ejpam-4930	95	92	in	in	ADP
ejpam-4930	95	93	this	this	DET
ejpam-4930	95	94	work	work	NOUN
ejpam-4930	95	95	,	,	PUNCT
ejpam-4930	95	96	we	we	PRON
ejpam-4930	95	97	are	be	AUX
ejpam-4930	95	98	controlling	control	VERB
ejpam-4930	95	99	the	the	DET
ejpam-4930	95	100	car	car	NOUN
ejpam-4930	95	101	’s	’s	PART
ejpam-4930	95	102	oscillations	oscillation	NOUN
ejpam-4930	95	103	with	with	ADP
ejpam-4930	95	104	an	an	DET
ejpam-4930	95	105	integral	integral	ADJ
ejpam-4930	95	106	resonant	resonant	ADJ
ejpam-4930	95	107	controller	controller	NOUN
ejpam-4930	95	108	(	(	PUNCT
ejpam-4930	95	109	irc	irc	NOUN
ejpam-4930	95	110	)	)	PUNCT
ejpam-4930	95	111	that	that	PRON
ejpam-4930	95	112	has	have	VERB
ejpam-4930	95	113	the	the	DET
ejpam-4930	95	114	form	form	NOUN
ejpam-4930	95	115	[	[	X
ejpam-4930	95	116	24	24	NUM
ejpam-4930	95	117	,	,	PUNCT
ejpam-4930	95	118	25	25	NUM
ejpam-4930	95	119	,	,	PUNCT
ejpam-4930	95	120	28	28	NUM
ejpam-4930	95	121	]	]	X
ejpam-4930	95	122	ẏ	ẏ	PROPN
ejpam-4930	95	123	+	+	CCONJ
ejpam-4930	95	124	ωcy	ωcy	ADJ
ejpam-4930	95	125	=	=	SYM
ejpam-4930	95	126	kcx	kcx	NOUN
ejpam-4930	95	127	(	(	PUNCT
ejpam-4930	95	128	2	2	NUM
ejpam-4930	95	129	)	)	PUNCT
ejpam-4930	95	130	where	where	SCONJ
ejpam-4930	95	131	ωc	ωc	PROPN
ejpam-4930	95	132	is	be	AUX
ejpam-4930	95	133	the	the	DET
ejpam-4930	95	134	decay	decay	NOUN
ejpam-4930	95	135	rate	rate	NOUN
ejpam-4930	95	136	of	of	ADP
ejpam-4930	95	137	natural	natural	ADJ
ejpam-4930	95	138	response	response	NOUN
ejpam-4930	95	139	of	of	ADP
ejpam-4930	95	140	y(t	y(t	PROPN
ejpam-4930	95	141	)	)	PUNCT
ejpam-4930	95	142	and	and	CCONJ
ejpam-4930	95	143	kc	kc	PROPN
ejpam-4930	95	144	is	be	AUX
ejpam-4930	95	145	the	the	DET
ejpam-4930	95	146	feedback	feedback	NOUN
ejpam-4930	95	147	gain	gain	NOUN
ejpam-4930	95	148	.	.	PUNCT
ejpam-4930	96	1	this	this	DET
ejpam-4930	96	2	type	type	NOUN
ejpam-4930	96	3	of	of	ADP
ejpam-4930	96	4	first	first	ADJ
ejpam-4930	96	5	order	order	NOUN
ejpam-4930	96	6	oscillator	oscillator	NOUN
ejpam-4930	96	7	can	can	AUX
ejpam-4930	96	8	be	be	AUX
ejpam-4930	96	9	implemented	implement	VERB
ejpam-4930	96	10	as	as	SCONJ
ejpam-4930	96	11	shown	show	VERB
ejpam-4930	96	12	in	in	ADP
ejpam-4930	96	13	fig	fig	NOUN
ejpam-4930	96	14	.	.	PUNCT
ejpam-4930	97	1	1b	1b	NUM
ejpam-4930	97	2	.	.	PUNCT
ejpam-4930	98	1	its	its	PRON
ejpam-4930	98	2	input	input	NOUN
ejpam-4930	98	3	feedback	feedback	NOUN
ejpam-4930	98	4	signal	signal	NOUN
ejpam-4930	98	5	x(t	x(t	PROPN
ejpam-4930	98	6	)	)	PUNCT
ejpam-4930	98	7	is	be	AUX
ejpam-4930	98	8	acquired	acquire	VERB
ejpam-4930	98	9	from	from	ADP
ejpam-4930	98	10	a	a	DET
ejpam-4930	98	11	linear	linear	ADJ
ejpam-4930	98	12	variable	variable	ADJ
ejpam-4930	98	13	differential	differential	NOUN
ejpam-4930	98	14	transformer	transformer	NOUN
ejpam-4930	98	15	(	(	PUNCT
ejpam-4930	98	16	lvdt	lvdt	PROPN
ejpam-4930	98	17	)	)	PUNCT
ejpam-4930	98	18	,	,	PUNCT
ejpam-4930	98	19	while	while	SCONJ
ejpam-4930	98	20	its	its	PRON
ejpam-4930	98	21	output	output	NOUN
ejpam-4930	98	22	control	control	NOUN
ejpam-4930	98	23	signal	signal	NOUN
ejpam-4930	98	24	is	be	AUX
ejpam-4930	98	25	applied	apply	VERB
ejpam-4930	98	26	to	to	ADP
ejpam-4930	98	27	a	a	DET
ejpam-4930	98	28	servo	servo	NOUN
ejpam-4930	98	29	-	-	PUNCT
ejpam-4930	98	30	controlled	control	VERB
ejpam-4930	98	31	linear	linear	ADJ
ejpam-4930	98	32	actuator	actuator	NOUN
ejpam-4930	98	33	(	(	PUNCT
ejpam-4930	98	34	scla	scla	NOUN
ejpam-4930	98	35	)	)	PUNCT
ejpam-4930	98	36	.	.	PUNCT
ejpam-4930	99	1	the	the	DET
ejpam-4930	99	2	lvdt	lvdt	PROPN
ejpam-4930	99	3	and	and	CCONJ
ejpam-4930	99	4	scla	scla	NOUN
ejpam-4930	99	5	devices	device	NOUN
ejpam-4930	99	6	are	be	AUX
ejpam-4930	99	7	connected	connect	VERB
ejpam-4930	99	8	directly	directly	ADV
ejpam-4930	99	9	to	to	ADP
ejpam-4930	99	10	the	the	DET
ejpam-4930	99	11	car	car	NOUN
ejpam-4930	99	12	for	for	ADP
ejpam-4930	99	13	sensing	sense	VERB
ejpam-4930	99	14	and	and	CCONJ
ejpam-4930	99	15	actuating	actuate	VERB
ejpam-4930	99	16	purposes	purpose	NOUN
ejpam-4930	99	17	,	,	PUNCT
ejpam-4930	99	18	respectively	respectively	ADV
ejpam-4930	99	19	.	.	PUNCT
ejpam-4930	100	1	for	for	ADP
ejpam-4930	100	2	the	the	DET
ejpam-4930	100	3	oscillator	oscillator	NOUN
ejpam-4930	100	4	’s	’s	PART
ejpam-4930	100	5	equation	equation	NOUN
ejpam-4930	100	6	shown	show	VERB
ejpam-4930	100	7	in	in	ADP
ejpam-4930	100	8	eq	eq	ADP
ejpam-4930	100	9	.	.	PUNCT
ejpam-4930	101	1	(	(	PUNCT
ejpam-4930	101	2	2	2	NUM
ejpam-4930	101	3	)	)	PUNCT
ejpam-4930	101	4	,	,	PUNCT
ejpam-4930	101	5	it	it	PRON
ejpam-4930	101	6	should	should	AUX
ejpam-4930	101	7	be	be	AUX
ejpam-4930	101	8	coupled	couple	VERB
ejpam-4930	101	9	linearly	linearly	ADV
ejpam-4930	101	10	with	with	ADP
ejpam-4930	101	11	eq	eq	NOUN
ejpam-4930	101	12	.	.	PUNCT
ejpam-4930	102	1	(	(	PUNCT
ejpam-4930	102	2	1	1	NUM
ejpam-4930	102	3	)	)	PUNCT
ejpam-4930	102	4	.	.	PUNCT
ejpam-4930	103	1	hence	hence	ADV
ejpam-4930	103	2	,	,	PUNCT
ejpam-4930	103	3	the	the	DET
ejpam-4930	103	4	control	control	NOUN
ejpam-4930	103	5	force	force	NOUN
ejpam-4930	103	6	should	should	AUX
ejpam-4930	103	7	be	be	AUX
ejpam-4930	103	8	in	in	ADP
ejpam-4930	103	9	the	the	DET
ejpam-4930	103	10	form	form	NOUN
ejpam-4930	103	11	fc	fc	X
ejpam-4930	103	12	=	=	SYM
ejpam-4930	103	13	ky	ky	PROPN
ejpam-4930	103	14	where	where	SCONJ
ejpam-4930	103	15	k	k	PROPN
ejpam-4930	103	16	is	be	AUX
ejpam-4930	103	17	the	the	DET
ejpam-4930	103	18	control	control	NOUN
ejpam-4930	103	19	gain	gain	NOUN
ejpam-4930	103	20	.	.	PUNCT
ejpam-4930	104	1	using	use	VERB
ejpam-4930	104	2	this	this	DET
ejpam-4930	104	3	data	datum	NOUN
ejpam-4930	104	4	with	with	ADP
ejpam-4930	104	5	simplifying	simplify	VERB
ejpam-4930	104	6	eq	eq	ADP
ejpam-4930	104	7	.	.	PUNCT
ejpam-4930	105	1	(	(	PUNCT
ejpam-4930	105	2	1	1	NUM
ejpam-4930	105	3	)	)	PUNCT
ejpam-4930	105	4	,	,	PUNCT
ejpam-4930	105	5	we	we	PRON
ejpam-4930	105	6	have	have	VERB
ejpam-4930	105	7	a	a	DET
ejpam-4930	105	8	system	system	NOUN
ejpam-4930	105	9	of	of	ADP
ejpam-4930	105	10	differential	differential	ADJ
ejpam-4930	105	11	equations	equation	NOUN
ejpam-4930	105	12	as	as	SCONJ
ejpam-4930	105	13	follows	follow	VERB
ejpam-4930	105	14	ẍ+	ẍ+	PROPN
ejpam-4930	105	15	µẋ+	µẋ+	PRON
ejpam-4930	106	1	ω2x+	ω2x+	CCONJ
ejpam-4930	106	2	αx3	αx3	NOUN
ejpam-4930	106	3	=	=	PUNCT
ejpam-4930	106	4	f̂	f̂	PROPN
ejpam-4930	106	5	cos(ωt	cos(ωt	PRON
ejpam-4930	106	6	)	)	PUNCT
ejpam-4930	107	1	+	+	CCONJ
ejpam-4930	107	2	k̂y	k̂y	PROPN
ejpam-4930	107	3	(	(	PUNCT
ejpam-4930	107	4	3	3	NUM
ejpam-4930	107	5	)	)	PUNCT
ejpam-4930	107	6	a.	a.	NOUN
ejpam-4930	107	7	kandil	kandil	PROPN
ejpam-4930	107	8	,	,	PUNCT
ejpam-4930	107	9	y.	y.	PROPN
ejpam-4930	107	10	s.	s.	PROPN
ejpam-4930	107	11	hamed	hamed	PROPN
ejpam-4930	107	12	/	/	SYM
ejpam-4930	107	13	eur	eur	PROPN
ejpam-4930	107	14	.	.	PUNCT
ejpam-4930	108	1	j.	j.	PROPN
ejpam-4930	108	2	pure	pure	PROPN
ejpam-4930	108	3	appl	appl	PROPN
ejpam-4930	108	4	.	.	PROPN
ejpam-4930	108	5	math	math	PROPN
ejpam-4930	108	6	,	,	PUNCT
ejpam-4930	108	7	16	16	NUM
ejpam-4930	108	8	(	(	PUNCT
ejpam-4930	108	9	4	4	NUM
ejpam-4930	108	10	)	)	PUNCT
ejpam-4930	108	11	(	(	PUNCT
ejpam-4930	108	12	2023	2023	NUM
ejpam-4930	108	13	)	)	PUNCT
ejpam-4930	108	14	,	,	PUNCT
ejpam-4930	108	15	2729	2729	NUM
ejpam-4930	108	16	-	-	SYM
ejpam-4930	108	17	2750	2750	NUM
ejpam-4930	108	18	2733	2733	NUM
ejpam-4930	108	19	ẏ	ẏ	NOUN
ejpam-4930	108	20	+	+	CCONJ
ejpam-4930	108	21	ωcy	ωcy	ADJ
ejpam-4930	108	22	=	=	SYM
ejpam-4930	108	23	kcx	kcx	NOUN
ejpam-4930	108	24	(	(	PUNCT
ejpam-4930	108	25	4	4	NUM
ejpam-4930	108	26	)	)	PUNCT
ejpam-4930	108	27	where	where	SCONJ
ejpam-4930	108	28	µ	µ	X
ejpam-4930	108	29	=	=	SYM
ejpam-4930	108	30	c	c	X
ejpam-4930	108	31	/	/	SYM
ejpam-4930	108	32	m	m	PROPN
ejpam-4930	108	33	,	,	PUNCT
ejpam-4930	108	34	ω2	ω2	NOUN
ejpam-4930	108	35	=	=	SYM
ejpam-4930	108	36	c1	c1	PROPN
ejpam-4930	108	37	/	/	SYM
ejpam-4930	108	38	m	m	PROPN
ejpam-4930	108	39	,	,	PUNCT
ejpam-4930	108	40	α	α	PROPN
ejpam-4930	108	41	=	=	PROPN
ejpam-4930	108	42	c2	c2	PROPN
ejpam-4930	108	43	/	/	SYM
ejpam-4930	108	44	m	m	PROPN
ejpam-4930	108	45	,	,	PUNCT
ejpam-4930	108	46	f̂	f̂	X
ejpam-4930	108	47	=	=	SYM
ejpam-4930	108	48	f	f	X
ejpam-4930	108	49	/	/	SYM
ejpam-4930	108	50	m	m	PROPN
ejpam-4930	108	51	,	,	PUNCT
ejpam-4930	108	52	k̂	k̂	X
ejpam-4930	108	53	=	=	SYM
ejpam-4930	108	54	k	k	X
ejpam-4930	108	55	/	/	SYM
ejpam-4930	108	56	m.	m.	NOUN
ejpam-4930	108	57	for	for	ADP
ejpam-4930	108	58	brevity	brevity	NOUN
ejpam-4930	109	1	,	,	PUNCT
ejpam-4930	109	2	we	we	PRON
ejpam-4930	109	3	will	will	AUX
ejpam-4930	109	4	remove	remove	VERB
ejpam-4930	109	5	the	the	DET
ejpam-4930	109	6	hats	hat	NOUN
ejpam-4930	109	7	in	in	ADP
ejpam-4930	109	8	the	the	DET
ejpam-4930	109	9	next	next	ADJ
ejpam-4930	109	10	analysis	analysis	NOUN
ejpam-4930	109	11	.	.	PUNCT
ejpam-4930	110	1	a	a	DET
ejpam-4930	110	2	suitable	suitable	ADJ
ejpam-4930	110	3	scaling	scaling	NOUN
ejpam-4930	110	4	is	be	AUX
ejpam-4930	110	5	done	do	VERB
ejpam-4930	110	6	for	for	ADP
ejpam-4930	110	7	some	some	DET
ejpam-4930	110	8	parameters	parameter	NOUN
ejpam-4930	110	9	such	such	ADJ
ejpam-4930	110	10	that	that	SCONJ
ejpam-4930	110	11	µ	µ	NOUN
ejpam-4930	110	12	=	=	SYM
ejpam-4930	110	13	ϵµ̃	ϵµ̃	PROPN
ejpam-4930	110	14	,	,	PUNCT
ejpam-4930	110	15	α	α	NOUN
ejpam-4930	111	1	=	=	SYM
ejpam-4930	111	2	ϵα̃	ϵα̃	PROPN
ejpam-4930	111	3	,	,	PUNCT
ejpam-4930	111	4	f	f	NOUN
ejpam-4930	111	5	=	=	X
ejpam-4930	111	6	ϵf̃	ϵf̃	X
ejpam-4930	111	7	,	,	PUNCT
ejpam-4930	111	8	and	and	CCONJ
ejpam-4930	111	9	kc	kc	PROPN
ejpam-4930	111	10	=	=	PROPN
ejpam-4930	111	11	ϵk̃c	ϵk̃c	NOUN
ejpam-4930	112	1	in	in	ADP
ejpam-4930	112	2	order	order	NOUN
ejpam-4930	112	3	to	to	PART
ejpam-4930	112	4	show	show	VERB
ejpam-4930	112	5	the	the	DET
ejpam-4930	112	6	perturbed	perturb	VERB
ejpam-4930	112	7	problem	problem	NOUN
ejpam-4930	112	8	rather	rather	ADV
ejpam-4930	112	9	than	than	ADP
ejpam-4930	112	10	the	the	DET
ejpam-4930	112	11	linear	linear	ADJ
ejpam-4930	112	12	un	un	ADJ
ejpam-4930	112	13	-	-	ADJ
ejpam-4930	112	14	damped	damped	ADJ
ejpam-4930	112	15	free	free	ADJ
ejpam-4930	112	16	problem	problem	NOUN
ejpam-4930	112	17	[	[	X
ejpam-4930	112	18	23	23	NUM
ejpam-4930	112	19	]	]	PUNCT
ejpam-4930	112	20	.	.	PUNCT
ejpam-4930	113	1	the	the	DET
ejpam-4930	113	2	tildes	tilde	NOUN
ejpam-4930	113	3	are	be	AUX
ejpam-4930	113	4	used	use	VERB
ejpam-4930	113	5	to	to	PART
ejpam-4930	113	6	show	show	VERB
ejpam-4930	113	7	that	that	SCONJ
ejpam-4930	113	8	the	the	DET
ejpam-4930	113	9	parameters	parameter	NOUN
ejpam-4930	113	10	are	be	AUX
ejpam-4930	113	11	scaled	scale	VERB
ejpam-4930	113	12	,	,	PUNCT
ejpam-4930	113	13	while	while	SCONJ
ejpam-4930	113	14	ϵ	ϵ	PROPN
ejpam-4930	113	15	is	be	AUX
ejpam-4930	113	16	a	a	DET
ejpam-4930	113	17	small	small	ADJ
ejpam-4930	113	18	perturbation	perturbation	NOUN
ejpam-4930	113	19	parameter	parameter	NOUN
ejpam-4930	113	20	.	.	PUNCT
ejpam-4930	114	1	equations	equation	NOUN
ejpam-4930	114	2	(	(	PUNCT
ejpam-4930	114	3	3	3	NUM
ejpam-4930	114	4	)	)	PUNCT
ejpam-4930	114	5	and	and	CCONJ
ejpam-4930	114	6	(	(	PUNCT
ejpam-4930	114	7	4	4	X
ejpam-4930	114	8	)	)	PUNCT
ejpam-4930	114	9	become	become	VERB
ejpam-4930	114	10	ẍ+	ẍ+	PROPN
ejpam-4930	114	11	ϵµ̃ẋ+	ϵµ̃ẋ+	PROPN
ejpam-4930	115	1	ω2x+	ω2x+	INTJ
ejpam-4930	115	2	ϵα̃x3	ϵα̃x3	PUNCT
ejpam-4930	115	3	=	=	SYM
ejpam-4930	115	4	ϵf̃	ϵf̃	NOUN
ejpam-4930	115	5	cos(ωt	cos(ωt	NOUN
ejpam-4930	115	6	)	)	PUNCT
ejpam-4930	116	1	+	+	CCONJ
ejpam-4930	116	2	ky	ky	PROPN
ejpam-4930	116	3	(	(	PUNCT
ejpam-4930	116	4	5	5	NUM
ejpam-4930	116	5	)	)	PUNCT
ejpam-4930	116	6	ẏ	ẏ	NOUN
ejpam-4930	116	7	+	+	CCONJ
ejpam-4930	116	8	ωcy	ωcy	ADJ
ejpam-4930	116	9	=	=	ADJ
ejpam-4930	116	10	ϵk̃cx	ϵk̃cx	NOUN
ejpam-4930	116	11	(	(	PUNCT
ejpam-4930	116	12	6	6	NUM
ejpam-4930	116	13	)	)	PUNCT
ejpam-4930	116	14	the	the	DET
ejpam-4930	116	15	approximate	approximate	ADJ
ejpam-4930	116	16	solution	solution	NOUN
ejpam-4930	116	17	of	of	ADP
ejpam-4930	116	18	the	the	DET
ejpam-4930	116	19	system	system	NOUN
ejpam-4930	116	20	above	above	ADV
ejpam-4930	116	21	is	be	AUX
ejpam-4930	116	22	sought	seek	VERB
ejpam-4930	116	23	with	with	ADP
ejpam-4930	116	24	asymptotic	asymptotic	ADJ
ejpam-4930	116	25	series	series	NOUN
ejpam-4930	116	26	[	[	X
ejpam-4930	116	27	23	23	NUM
ejpam-4930	116	28	]	]	PUNCT
ejpam-4930	116	29	as	as	SCONJ
ejpam-4930	116	30	follows	follow	VERB
ejpam-4930	116	31	x(t	x(t	PROPN
ejpam-4930	116	32	)	)	PUNCT
ejpam-4930	116	33	=	=	PUNCT
ejpam-4930	117	1	∞∑	∞∑	NUM
ejpam-4930	117	2	n=0	n=0	NUM
ejpam-4930	117	3	ϵnxn	ϵnxn	NOUN
ejpam-4930	117	4	≈	≈	PROPN
ejpam-4930	117	5	x0	x0	PROPN
ejpam-4930	118	1	+	+	CCONJ
ejpam-4930	118	2	ϵx1	ϵx1	NOUN
ejpam-4930	118	3	(	(	PUNCT
ejpam-4930	118	4	7	7	NUM
ejpam-4930	118	5	)	)	PUNCT
ejpam-4930	118	6	y(t	y(t	NUM
ejpam-4930	118	7	)	)	PUNCT
ejpam-4930	119	1	=	=	PUNCT
ejpam-4930	120	1	∞∑	∞∑	NUM
ejpam-4930	120	2	n=0	n=0	NUM
ejpam-4930	121	1	ϵn+1yn	ϵn+1yn	PROPN
ejpam-4930	122	1	≈	≈	PROPN
ejpam-4930	122	2	ϵy0	ϵy0	PROPN
ejpam-4930	123	1	+	+	CCONJ
ejpam-4930	123	2	ϵ2y1	ϵ2y1	PROPN
ejpam-4930	123	3	(	(	PUNCT
ejpam-4930	123	4	8)	8)	NUM
ejpam-4930	123	5	where	where	SCONJ
ejpam-4930	123	6	xn	xn	PROPN
ejpam-4930	123	7	and	and	CCONJ
ejpam-4930	123	8	yn	yn	PROPN
ejpam-4930	123	9	are	be	AUX
ejpam-4930	123	10	the	the	DET
ejpam-4930	123	11	component	component	NOUN
ejpam-4930	123	12	functions	function	NOUN
ejpam-4930	123	13	comprising	comprise	VERB
ejpam-4930	123	14	the	the	DET
ejpam-4930	123	15	main	main	ADJ
ejpam-4930	123	16	solutions	solution	NOUN
ejpam-4930	123	17	.	.	PUNCT
ejpam-4930	124	1	the	the	DET
ejpam-4930	124	2	timederivatives	timederivative	NOUN
ejpam-4930	124	3	can	can	AUX
ejpam-4930	124	4	also	also	ADV
ejpam-4930	124	5	be	be	AUX
ejpam-4930	124	6	approximated	approximate	VERB
ejpam-4930	124	7	by	by	ADP
ejpam-4930	124	8	new	new	ADJ
ejpam-4930	124	9	partials	partial	NOUN
ejpam-4930	124	10	derivatives	derivative	NOUN
ejpam-4930	124	11	in	in	ADP
ejpam-4930	124	12	terms	term	NOUN
ejpam-4930	124	13	of	of	ADP
ejpam-4930	124	14	new	new	ADJ
ejpam-4930	124	15	time	time	NOUN
ejpam-4930	124	16	scales	scale	VERB
ejpam-4930	124	17	t0	t0	PROPN
ejpam-4930	124	18	=	=	SYM
ejpam-4930	124	19	t	t	PROPN
ejpam-4930	124	20	and	and	CCONJ
ejpam-4930	124	21	t1	t1	NOUN
ejpam-4930	124	22	=	=	PUNCT
ejpam-4930	125	1	ϵt	ϵt	ADP
ejpam-4930	125	2	as	as	SCONJ
ejpam-4930	125	3	follows	follow	VERB
ejpam-4930	125	4	:	:	PUNCT
ejpam-4930	125	5	d	d	X
ejpam-4930	125	6	dt	dt	X
ejpam-4930	125	7	=	=	PUNCT
ejpam-4930	125	8	∞∑	∞∑	ADJ
ejpam-4930	125	9	n=0	n=0	ADV
ejpam-4930	125	10	ϵn	ϵn	NOUN
ejpam-4930	125	11	∂	∂	NUM
ejpam-4930	125	12	∂tn	∂tn	PROPN
ejpam-4930	125	13	≈	≈	PROPN
ejpam-4930	125	14	∂	∂	NUM
ejpam-4930	125	15	∂t0	∂t0	PROPN
ejpam-4930	126	1	+	+	CCONJ
ejpam-4930	126	2	ϵ	ϵ	X
ejpam-4930	126	3	∂	∂	X
ejpam-4930	126	4	∂t1	∂t1	NOUN
ejpam-4930	126	5	(	(	PUNCT
ejpam-4930	126	6	9	9	NUM
ejpam-4930	126	7	)	)	PUNCT
ejpam-4930	126	8	substituting	substitute	VERB
ejpam-4930	126	9	eqs	eqs	PROPN
ejpam-4930	126	10	.	.	PUNCT
ejpam-4930	127	1	(	(	PUNCT
ejpam-4930	127	2	7	7	X
ejpam-4930	127	3	)	)	PUNCT
ejpam-4930	127	4	to	to	ADP
ejpam-4930	127	5	(	(	PUNCT
ejpam-4930	127	6	9	9	NUM
ejpam-4930	127	7	)	)	PUNCT
ejpam-4930	127	8	into	into	ADP
ejpam-4930	127	9	eqs	eqs	PROPN
ejpam-4930	127	10	.	.	PUNCT
ejpam-4930	128	1	(	(	PUNCT
ejpam-4930	128	2	5	5	NUM
ejpam-4930	128	3	)	)	PUNCT
ejpam-4930	128	4	and	and	CCONJ
ejpam-4930	128	5	(	(	PUNCT
ejpam-4930	128	6	6	6	NUM
ejpam-4930	128	7	)	)	PUNCT
ejpam-4930	128	8	and	and	CCONJ
ejpam-4930	128	9	extracting	extract	VERB
ejpam-4930	128	10	the	the	DET
ejpam-4930	128	11	terms	term	NOUN
ejpam-4930	128	12	of	of	ADP
ejpam-4930	128	13	equal	equal	ADJ
ejpam-4930	128	14	powers	power	NOUN
ejpam-4930	128	15	of	of	ADP
ejpam-4930	128	16	ϵ	ϵ	X
ejpam-4930	128	17	(	(	PUNCT
ejpam-4930	128	18	up	up	ADP
ejpam-4930	128	19	to	to	PART
ejpam-4930	128	20	ϵ1	ϵ1	VERB
ejpam-4930	128	21	)	)	PUNCT
ejpam-4930	128	22	on	on	ADP
ejpam-4930	128	23	both	both	DET
ejpam-4930	128	24	sides	side	NOUN
ejpam-4930	128	25	lead	lead	VERB
ejpam-4930	128	26	us	we	PRON
ejpam-4930	128	27	to	to	ADP
ejpam-4930	128	28	the	the	DET
ejpam-4930	128	29	following	following	NOUN
ejpam-4930	128	30	:	:	PUNCT
ejpam-4930	128	31	∂2x0	∂2x0	PUNCT
ejpam-4930	128	32	∂t	∂t	PROPN
ejpam-4930	128	33	2	2	NUM
ejpam-4930	128	34	0	0	NUM
ejpam-4930	128	35	+	+	CCONJ
ejpam-4930	128	36	ω2x0	ω2x0	PUNCT
ejpam-4930	128	37	=	=	SYM
ejpam-4930	128	38	0	0	NUM
ejpam-4930	128	39	(	(	PUNCT
ejpam-4930	128	40	10	10	NUM
ejpam-4930	128	41	)	)	PUNCT
ejpam-4930	128	42	∂y0	∂y0	NOUN
ejpam-4930	128	43	∂t0	∂t0	NOUN
ejpam-4930	128	44	+	+	CCONJ
ejpam-4930	128	45	ωcy0	ωcy0	NOUN
ejpam-4930	128	46	=	=	SYM
ejpam-4930	128	47	k̃cx0	k̃cx0	NOUN
ejpam-4930	128	48	(	(	PUNCT
ejpam-4930	128	49	11	11	NUM
ejpam-4930	128	50	)	)	PUNCT
ejpam-4930	128	51	∂2x1	∂2x1	PUNCT
ejpam-4930	129	1	∂t	∂t	PROPN
ejpam-4930	129	2	2	2	NUM
ejpam-4930	129	3	0	0	NUM
ejpam-4930	130	1	+	+	CCONJ
ejpam-4930	130	2	ω2x1	ω2x1	PUNCT
ejpam-4930	130	3	=	=	SYM
ejpam-4930	130	4	−2	−2	NOUN
ejpam-4930	130	5	∂2x0	∂2x0	PUNCT
ejpam-4930	130	6	∂t0∂t1	∂t0∂t1	ADJ
ejpam-4930	130	7	−	−	PUNCT
ejpam-4930	131	1	µ̃	µ̃	PROPN
ejpam-4930	132	1	∂x0	∂x0	NUM
ejpam-4930	132	2	∂t0	∂t0	PROPN
ejpam-4930	132	3	−	−	PROPN
ejpam-4930	133	1	α̃x30	α̃x30	PUNCT
ejpam-4930	133	2	+	+	CCONJ
ejpam-4930	133	3	f̃	f̃	PROPN
ejpam-4930	133	4	2	2	NUM
ejpam-4930	133	5	(	(	PUNCT
ejpam-4930	133	6	eiωt0	eiωt0	X
ejpam-4930	133	7	+	+	CCONJ
ejpam-4930	133	8	e−iωt0	e−iωt0	X
ejpam-4930	133	9	)	)	PUNCT
ejpam-4930	134	1	+	+	CCONJ
ejpam-4930	134	2	ky0	ky0	PROPN
ejpam-4930	134	3	(	(	PUNCT
ejpam-4930	134	4	12	12	NUM
ejpam-4930	134	5	)	)	PUNCT
ejpam-4930	134	6	equation	equation	NOUN
ejpam-4930	134	7	(	(	PUNCT
ejpam-4930	134	8	10	10	NUM
ejpam-4930	134	9	)	)	PUNCT
ejpam-4930	134	10	has	have	VERB
ejpam-4930	134	11	the	the	DET
ejpam-4930	134	12	basic	basic	ADJ
ejpam-4930	134	13	solution	solution	NOUN
ejpam-4930	134	14	of	of	ADP
ejpam-4930	134	15	a	a	DET
ejpam-4930	134	16	simple	simple	ADJ
ejpam-4930	134	17	harmonic	harmonic	ADJ
ejpam-4930	134	18	motion	motion	NOUN
ejpam-4930	134	19	problem	problem	NOUN
ejpam-4930	134	20	such	such	ADJ
ejpam-4930	134	21	that	that	SCONJ
ejpam-4930	134	22	x0	x0	PROPN
ejpam-4930	134	23	=	=	PUNCT
ejpam-4930	134	24	aeiωt0	aeiωt0	NOUN
ejpam-4930	135	1	+	+	CCONJ
ejpam-4930	135	2	āe−iωt0	āe−iωt0	X
ejpam-4930	135	3	(	(	PUNCT
ejpam-4930	135	4	13	13	NUM
ejpam-4930	135	5	)	)	PUNCT
ejpam-4930	135	6	where	where	SCONJ
ejpam-4930	135	7	a	a	PRON
ejpam-4930	135	8	and	and	CCONJ
ejpam-4930	135	9	its	its	PRON
ejpam-4930	135	10	conjugate	conjugate	ADJ
ejpam-4930	135	11	ā	ā	NOUN
ejpam-4930	135	12	are	be	AUX
ejpam-4930	135	13	unknown	unknown	ADJ
ejpam-4930	135	14	quantities	quantity	NOUN
ejpam-4930	135	15	in	in	ADP
ejpam-4930	135	16	terms	term	NOUN
ejpam-4930	135	17	of	of	ADP
ejpam-4930	135	18	t1	t1	NOUN
ejpam-4930	135	19	.	.	PUNCT
ejpam-4930	136	1	substituting	substitute	VERB
ejpam-4930	136	2	x0	x0	PROPN
ejpam-4930	136	3	from	from	ADP
ejpam-4930	136	4	eq	eq	PROPN
ejpam-4930	136	5	.	.	PUNCT
ejpam-4930	137	1	(	(	PUNCT
ejpam-4930	137	2	13	13	NUM
ejpam-4930	137	3	)	)	PUNCT
ejpam-4930	137	4	into	into	ADP
ejpam-4930	137	5	eq	eq	NOUN
ejpam-4930	137	6	.	.	PUNCT
ejpam-4930	138	1	(	(	PUNCT
ejpam-4930	138	2	11	11	NUM
ejpam-4930	138	3	)	)	PUNCT
ejpam-4930	138	4	,	,	PUNCT
ejpam-4930	138	5	then	then	ADV
ejpam-4930	138	6	solving	solve	VERB
ejpam-4930	138	7	the	the	DET
ejpam-4930	138	8	resulting	result	VERB
ejpam-4930	138	9	first	first	ADJ
ejpam-4930	138	10	order	order	NOUN
ejpam-4930	138	11	differential	differential	NOUN
ejpam-4930	138	12	equation	equation	NOUN
ejpam-4930	138	13	lead	lead	VERB
ejpam-4930	138	14	us	we	PRON
ejpam-4930	138	15	to	to	ADP
ejpam-4930	138	16	y0	y0	PROPN
ejpam-4930	138	17	=	=	SYM
ejpam-4930	139	1	be−ωct0	be−ωct0	PROPN
ejpam-4930	140	1	+	+	NUM
ejpam-4930	140	2	γ̃aeiωt0	γ̃aeiωt0	PROPN
ejpam-4930	141	1	+	+	NUM
ejpam-4930	141	2	¯̃γāeiωt0	¯̃γāeiωt0	NOUN
ejpam-4930	141	3	(	(	PUNCT
ejpam-4930	141	4	14	14	NUM
ejpam-4930	141	5	)	)	PUNCT
ejpam-4930	141	6	a.	a.	NOUN
ejpam-4930	141	7	kandil	kandil	PROPN
ejpam-4930	141	8	,	,	PUNCT
ejpam-4930	141	9	y.	y.	PROPN
ejpam-4930	141	10	s.	s.	PROPN
ejpam-4930	141	11	hamed	hamed	PROPN
ejpam-4930	141	12	/	/	SYM
ejpam-4930	141	13	eur	eur	PROPN
ejpam-4930	141	14	.	.	PUNCT
ejpam-4930	142	1	j.	j.	PROPN
ejpam-4930	142	2	pure	pure	PROPN
ejpam-4930	142	3	appl	appl	PROPN
ejpam-4930	142	4	.	.	PROPN
ejpam-4930	142	5	math	math	PROPN
ejpam-4930	142	6	,	,	PUNCT
ejpam-4930	142	7	16	16	NUM
ejpam-4930	142	8	(	(	PUNCT
ejpam-4930	142	9	4	4	NUM
ejpam-4930	142	10	)	)	PUNCT
ejpam-4930	142	11	(	(	PUNCT
ejpam-4930	142	12	2023	2023	NUM
ejpam-4930	142	13	)	)	PUNCT
ejpam-4930	142	14	,	,	PUNCT
ejpam-4930	142	15	2729	2729	NUM
ejpam-4930	142	16	-	-	SYM
ejpam-4930	142	17	2750	2750	NUM
ejpam-4930	142	18	2734	2734	NUM
ejpam-4930	142	19	where	where	SCONJ
ejpam-4930	142	20	b	b	NOUN
ejpam-4930	142	21	is	be	AUX
ejpam-4930	142	22	another	another	DET
ejpam-4930	142	23	unknown	unknown	ADJ
ejpam-4930	142	24	quantity	quantity	NOUN
ejpam-4930	142	25	in	in	ADP
ejpam-4930	142	26	terms	term	NOUN
ejpam-4930	142	27	of	of	ADP
ejpam-4930	142	28	t1	t1	NOUN
ejpam-4930	142	29	and	and	CCONJ
ejpam-4930	142	30	γ̃	γ̃	PROPN
ejpam-4930	142	31	=	=	SYM
ejpam-4930	142	32	k̃c(ωc	k̃c(ωc	PROPN
ejpam-4930	143	1	−	−	NOUN
ejpam-4930	143	2	iω)(ω2	iω)(ω2	NOUN
ejpam-4930	144	1	c	c	NOUN
ejpam-4930	144	2	+	+	NOUN
ejpam-4930	144	3	ω2)−1	ω2)−1	NOUN
ejpam-4930	144	4	.	.	PUNCT
ejpam-4930	145	1	substituting	substitute	VERB
ejpam-4930	145	2	eqs	eqs	PROPN
ejpam-4930	145	3	.	.	PUNCT
ejpam-4930	146	1	(	(	PUNCT
ejpam-4930	146	2	13	13	NUM
ejpam-4930	146	3	)	)	PUNCT
ejpam-4930	146	4	and	and	CCONJ
ejpam-4930	146	5	(	(	PUNCT
ejpam-4930	146	6	14	14	NUM
ejpam-4930	146	7	)	)	PUNCT
ejpam-4930	146	8	into	into	ADP
ejpam-4930	146	9	eq	eq	NOUN
ejpam-4930	146	10	.	.	PUNCT
ejpam-4930	147	1	(	(	PUNCT
ejpam-4930	147	2	12	12	NUM
ejpam-4930	147	3	)	)	PUNCT
ejpam-4930	147	4	yields	yield	NOUN
ejpam-4930	147	5	∂2x1	∂2x1	X
ejpam-4930	148	1	∂t	∂t	PROPN
ejpam-4930	148	2	2	2	NUM
ejpam-4930	148	3	0	0	NUM
ejpam-4930	149	1	+	+	CCONJ
ejpam-4930	149	2	ω2x1	ω2x1	SYM
ejpam-4930	149	3	=	=	X
ejpam-4930	149	4	(	(	PUNCT
ejpam-4930	149	5	−2iω	−2iω	NUM
ejpam-4930	149	6	∂a	∂a	NOUN
ejpam-4930	149	7	∂t1	∂t1	NOUN
ejpam-4930	149	8	−	−	PROPN
ejpam-4930	149	9	iµ̃ωa−	iµ̃ωa−	PROPN
ejpam-4930	149	10	3α̃a2ā+	3α̃a2ā+	NUM
ejpam-4930	149	11	γ̃a)eiωt0	γ̃a)eiωt0	ADJ
ejpam-4930	149	12	+	+	PUNCT
ejpam-4930	149	13	f̃	f̃	PROPN
ejpam-4930	149	14	2	2	NUM
ejpam-4930	149	15	eiωt0	eiωt0	NOUN
ejpam-4930	150	1	+	+	ADP
ejpam-4930	150	2	nst	nst	X
ejpam-4930	150	3	+	+	X
ejpam-4930	150	4	c.c	c.c	PROPN
ejpam-4930	150	5	.	.	PROPN
ejpam-4930	150	6	(	(	PUNCT
ejpam-4930	150	7	15	15	X
ejpam-4930	150	8	)	)	PUNCT
ejpam-4930	150	9	wherenst	wherenst	NOUN
ejpam-4930	150	10	stands	stand	VERB
ejpam-4930	150	11	for	for	ADP
ejpam-4930	150	12	the	the	DET
ejpam-4930	150	13	non	non	ADJ
ejpam-4930	150	14	-	-	ADJ
ejpam-4930	150	15	secular	secular	ADJ
ejpam-4930	150	16	terms	term	NOUN
ejpam-4930	150	17	that	that	PRON
ejpam-4930	150	18	have	have	VERB
ejpam-4930	150	19	no	no	DET
ejpam-4930	150	20	small	small	ADJ
ejpam-4930	150	21	divisors	divisor	NOUN
ejpam-4930	150	22	,	,	PUNCT
ejpam-4930	150	23	and	and	CCONJ
ejpam-4930	150	24	c.c	c.c	PROPN
ejpam-4930	150	25	.	.	PROPN
ejpam-4930	150	26	stands	stand	VERB
ejpam-4930	150	27	for	for	ADP
ejpam-4930	150	28	the	the	DET
ejpam-4930	150	29	complex	complex	ADJ
ejpam-4930	150	30	conjugate	conjugate	NOUN
ejpam-4930	150	31	of	of	ADP
ejpam-4930	150	32	the	the	DET
ejpam-4930	150	33	whole	whole	ADJ
ejpam-4930	150	34	preceding	precede	VERB
ejpam-4930	150	35	terms	term	NOUN
ejpam-4930	150	36	.	.	PUNCT
ejpam-4930	151	1	we	we	PRON
ejpam-4930	151	2	consider	consider	VERB
ejpam-4930	151	3	the	the	DET
ejpam-4930	151	4	primary	primary	ADJ
ejpam-4930	151	5	resonance	resonance	NOUN
ejpam-4930	151	6	case	case	NOUN
ejpam-4930	151	7	at	at	ADP
ejpam-4930	151	8	which	which	PRON
ejpam-4930	151	9	ω−ω	ω−ω	VERB
ejpam-4930	151	10	=	=	SYM
ejpam-4930	151	11	σ	σ	NOUN
ejpam-4930	151	12	where	where	SCONJ
ejpam-4930	151	13	σ	σ	PROPN
ejpam-4930	151	14	is	be	AUX
ejpam-4930	151	15	the	the	DET
ejpam-4930	151	16	deviation	deviation	NOUN
ejpam-4930	151	17	between	between	ADP
ejpam-4930	151	18	the	the	DET
ejpam-4930	151	19	excitation	excitation	NOUN
ejpam-4930	151	20	frequency	frequency	NOUN
ejpam-4930	151	21	ω	ω	PROPN
ejpam-4930	151	22	and	and	CCONJ
ejpam-4930	151	23	the	the	DET
ejpam-4930	151	24	car	car	NOUN
ejpam-4930	151	25	’s	’s	PART
ejpam-4930	151	26	motion	motion	NOUN
ejpam-4930	151	27	natural	natural	ADJ
ejpam-4930	151	28	frequency	frequency	NOUN
ejpam-4930	151	29	ω	ω	NOUN
ejpam-4930	151	30	.	.	PUNCT
ejpam-4930	152	1	assuming	assume	VERB
ejpam-4930	152	2	this	this	DET
ejpam-4930	152	3	deviation	deviation	NOUN
ejpam-4930	152	4	into	into	ADP
ejpam-4930	152	5	eq	eq	NOUN
ejpam-4930	152	6	.	.	PUNCT
ejpam-4930	153	1	(	(	PUNCT
ejpam-4930	153	2	15	15	NUM
ejpam-4930	153	3	)	)	PUNCT
ejpam-4930	153	4	in	in	ADP
ejpam-4930	153	5	order	order	NOUN
ejpam-4930	153	6	to	to	PART
ejpam-4930	153	7	get	get	VERB
ejpam-4930	153	8	the	the	DET
ejpam-4930	153	9	overall	overall	ADJ
ejpam-4930	153	10	solvability	solvability	NOUN
ejpam-4930	153	11	condition	condition	NOUN
ejpam-4930	153	12	−2iω	−2iω	X
ejpam-4930	154	1	∂a	∂a	PROPN
ejpam-4930	154	2	∂t1	∂t1	NOUN
ejpam-4930	154	3	−	−	PROPN
ejpam-4930	154	4	iµ̃ωa−	iµ̃ωa−	NOUN
ejpam-4930	154	5	3α̃a2ā+	3α̃a2ā+	NUM
ejpam-4930	154	6	γ̃a+	γ̃a+	PROPN
ejpam-4930	154	7	f̃	f̃	PROPN
ejpam-4930	154	8	2	2	NUM
ejpam-4930	154	9	eiσt0	eiσt0	NOUN
ejpam-4930	154	10	=	=	SYM
ejpam-4930	154	11	0	0	NUM
ejpam-4930	155	1	(	(	PUNCT
ejpam-4930	155	2	16	16	NUM
ejpam-4930	155	3	)	)	PUNCT
ejpam-4930	155	4	based	base	VERB
ejpam-4930	155	5	on	on	ADP
ejpam-4930	155	6	eq	eq	ADP
ejpam-4930	155	7	.	.	PUNCT
ejpam-4930	156	1	(	(	PUNCT
ejpam-4930	156	2	9	9	NUM
ejpam-4930	156	3	)	)	PUNCT
ejpam-4930	156	4	and	and	CCONJ
ejpam-4930	156	5	the	the	DET
ejpam-4930	156	6	fact	fact	NOUN
ejpam-4930	156	7	that	that	SCONJ
ejpam-4930	156	8	a	a	PRON
ejpam-4930	156	9	is	be	AUX
ejpam-4930	156	10	a	a	DET
ejpam-4930	156	11	function	function	NOUN
ejpam-4930	156	12	of	of	ADP
ejpam-4930	156	13	t1	t1	NOUN
ejpam-4930	156	14	only	only	ADV
ejpam-4930	156	15	,	,	PUNCT
ejpam-4930	156	16	we	we	PRON
ejpam-4930	156	17	have	have	VERB
ejpam-4930	156	18	ȧ	ȧ	PROPN
ejpam-4930	156	19	=	=	NOUN
ejpam-4930	156	20	da	da	ADJ
ejpam-4930	156	21	dt	dt	NOUN
ejpam-4930	156	22	=	=	PUNCT
ejpam-4930	157	1	ϵ	ϵ	X
ejpam-4930	157	2	∂a	∂a	PROPN
ejpam-4930	157	3	∂t1	∂t1	NOUN
ejpam-4930	157	4	(	(	PUNCT
ejpam-4930	157	5	17	17	NUM
ejpam-4930	157	6	)	)	PUNCT
ejpam-4930	157	7	using	use	VERB
ejpam-4930	157	8	eq	eq	X
ejpam-4930	157	9	.	.	PUNCT
ejpam-4930	157	10	(	(	PUNCT
ejpam-4930	157	11	17	17	NUM
ejpam-4930	157	12	)	)	PUNCT
ejpam-4930	157	13	and	and	CCONJ
ejpam-4930	157	14	the	the	DET
ejpam-4930	157	15	assumption	assumption	NOUN
ejpam-4930	157	16	that	that	SCONJ
ejpam-4930	157	17	µ	µ	X
ejpam-4930	157	18	=	=	SYM
ejpam-4930	157	19	ϵµ̃	ϵµ̃	PROPN
ejpam-4930	157	20	,	,	PUNCT
ejpam-4930	157	21	α	α	NOUN
ejpam-4930	157	22	=	=	SYM
ejpam-4930	157	23	ϵα̃	ϵα̃	PROPN
ejpam-4930	157	24	,	,	PUNCT
ejpam-4930	157	25	f	f	NOUN
ejpam-4930	157	26	=	=	X
ejpam-4930	157	27	ϵf̃	ϵf̃	X
ejpam-4930	157	28	,	,	PUNCT
ejpam-4930	157	29	and	and	CCONJ
ejpam-4930	157	30	kc	kc	PROPN
ejpam-4930	157	31	=	=	PROPN
ejpam-4930	157	32	ϵk̃c	ϵk̃c	PROPN
ejpam-4930	157	33	,	,	PUNCT
ejpam-4930	157	34	one	one	PRON
ejpam-4930	157	35	can	can	AUX
ejpam-4930	157	36	convert	convert	VERB
ejpam-4930	157	37	eq	eq	ADP
ejpam-4930	157	38	.	.	PUNCT
ejpam-4930	158	1	(	(	PUNCT
ejpam-4930	158	2	16	16	NUM
ejpam-4930	158	3	)	)	PUNCT
ejpam-4930	158	4	to	to	PART
ejpam-4930	158	5	be	be	AUX
ejpam-4930	158	6	in	in	ADP
ejpam-4930	158	7	terms	term	NOUN
ejpam-4930	158	8	of	of	ADP
ejpam-4930	158	9	t	t	NOUN
ejpam-4930	158	10	only	only	ADV
ejpam-4930	158	11	as	as	SCONJ
ejpam-4930	158	12	follows	follow	VERB
ejpam-4930	158	13	−2iωȧ−	−2iωȧ−	PRON
ejpam-4930	158	14	iµωa−	iµωa−	ADV
ejpam-4930	158	15	3αa2ā+	3αa2ā+	NUM
ejpam-4930	158	16	γa+	γa+	NOUN
ejpam-4930	159	1	f	f	PROPN
ejpam-4930	159	2	2	2	NUM
ejpam-4930	159	3	eiσt	eiσt	NOUN
ejpam-4930	159	4	=	=	SYM
ejpam-4930	159	5	0	0	PUNCT
ejpam-4930	159	6	(	(	PUNCT
ejpam-4930	159	7	18	18	NUM
ejpam-4930	159	8	)	)	PUNCT
ejpam-4930	159	9	the	the	DET
ejpam-4930	159	10	quantities	quantity	NOUN
ejpam-4930	159	11	a	a	PRON
ejpam-4930	159	12	,	,	PUNCT
ejpam-4930	159	13	ā	ā	ADJ
ejpam-4930	159	14	,	,	PUNCT
ejpam-4930	159	15	and	and	CCONJ
ejpam-4930	159	16	ȧ	ȧ	PROPN
ejpam-4930	159	17	can	can	AUX
ejpam-4930	159	18	be	be	AUX
ejpam-4930	159	19	expressed	express	VERB
ejpam-4930	159	20	in	in	ADP
ejpam-4930	159	21	polar	polar	ADJ
ejpam-4930	159	22	form	form	NOUN
ejpam-4930	159	23	in	in	ADP
ejpam-4930	159	24	order	order	NOUN
ejpam-4930	159	25	to	to	PART
ejpam-4930	159	26	get	get	VERB
ejpam-4930	159	27	the	the	DET
ejpam-4930	159	28	amplitude	amplitude	NOUN
ejpam-4930	159	29	and	and	CCONJ
ejpam-4930	159	30	phase	phase	NOUN
ejpam-4930	159	31	of	of	ADP
ejpam-4930	159	32	the	the	DET
ejpam-4930	159	33	car	car	NOUN
ejpam-4930	159	34	’s	’s	PART
ejpam-4930	159	35	motion	motion	NOUN
ejpam-4930	159	36	as	as	SCONJ
ejpam-4930	159	37	follows	follow	VERB
ejpam-4930	159	38	a	a	PRON
ejpam-4930	159	39	=	=	NOUN
ejpam-4930	159	40	1	1	NUM
ejpam-4930	159	41	2	2	NUM
ejpam-4930	159	42	aeiδ	aeiδ	NOUN
ejpam-4930	159	43	(	(	PUNCT
ejpam-4930	159	44	19	19	NUM
ejpam-4930	159	45	)	)	PUNCT
ejpam-4930	159	46	ā	ā	NOUN
ejpam-4930	159	47	=	=	NOUN
ejpam-4930	159	48	1	1	NUM
ejpam-4930	159	49	2	2	NUM
ejpam-4930	159	50	ae−iδ	ae−iδ	NOUN
ejpam-4930	159	51	(	(	PUNCT
ejpam-4930	159	52	20	20	NUM
ejpam-4930	159	53	)	)	PUNCT
ejpam-4930	159	54	ȧ	ȧ	PROPN
ejpam-4930	160	1	=	=	NOUN
ejpam-4930	160	2	1	1	NUM
ejpam-4930	160	3	2	2	NUM
ejpam-4930	160	4	(	(	PUNCT
ejpam-4930	160	5	ȧeiδ	ȧeiδ	ADJ
ejpam-4930	160	6	+	+	CCONJ
ejpam-4930	160	7	iaδ̇eiδ	iaδ̇eiδ	ADJ
ejpam-4930	160	8	)	)	PUNCT
ejpam-4930	160	9	(	(	PUNCT
ejpam-4930	160	10	21	21	NUM
ejpam-4930	160	11	)	)	PUNCT
ejpam-4930	160	12	where	where	SCONJ
ejpam-4930	160	13	a(t	a(t	NOUN
ejpam-4930	160	14	)	)	PUNCT
ejpam-4930	160	15	and	and	CCONJ
ejpam-4930	160	16	δ(t	δ(t	NOUN
ejpam-4930	160	17	)	)	PUNCT
ejpam-4930	160	18	are	be	AUX
ejpam-4930	160	19	the	the	DET
ejpam-4930	160	20	temporal	temporal	ADJ
ejpam-4930	160	21	amplitude	amplitude	NOUN
ejpam-4930	160	22	and	and	CCONJ
ejpam-4930	160	23	phase	phase	NOUN
ejpam-4930	160	24	of	of	ADP
ejpam-4930	160	25	the	the	DET
ejpam-4930	160	26	car	car	NOUN
ejpam-4930	160	27	’s	’s	PART
ejpam-4930	160	28	motion	motion	NOUN
ejpam-4930	160	29	,	,	PUNCT
ejpam-4930	160	30	respectively	respectively	ADV
ejpam-4930	160	31	.	.	PUNCT
ejpam-4930	161	1	substituting	substitute	VERB
ejpam-4930	161	2	eqs	eqs	PROPN
ejpam-4930	161	3	.	.	PUNCT
ejpam-4930	162	1	(	(	PUNCT
ejpam-4930	162	2	19	19	NUM
ejpam-4930	162	3	)	)	PUNCT
ejpam-4930	162	4	to	to	ADP
ejpam-4930	162	5	(	(	PUNCT
ejpam-4930	162	6	21	21	NUM
ejpam-4930	162	7	)	)	PUNCT
ejpam-4930	162	8	into	into	ADP
ejpam-4930	162	9	eqs	eqs	PROPN
ejpam-4930	162	10	.	.	PUNCT
ejpam-4930	163	1	(	(	PUNCT
ejpam-4930	163	2	18	18	NUM
ejpam-4930	163	3	)	)	PUNCT
ejpam-4930	163	4	with	with	ADP
ejpam-4930	163	5	separating	separate	VERB
ejpam-4930	163	6	the	the	DET
ejpam-4930	163	7	real	real	ADJ
ejpam-4930	163	8	and	and	CCONJ
ejpam-4930	163	9	imaginary	imaginary	ADJ
ejpam-4930	163	10	parts	part	NOUN
ejpam-4930	163	11	lead	lead	VERB
ejpam-4930	163	12	to	to	ADP
ejpam-4930	163	13	ȧ	ȧ	PROPN
ejpam-4930	163	14	=	=	PROPN
ejpam-4930	163	15	−1	−1	NOUN
ejpam-4930	163	16	2	2	NUM
ejpam-4930	163	17	(	(	PUNCT
ejpam-4930	163	18	µ+	µ+	X
ejpam-4930	163	19	kkc	kkc	NOUN
ejpam-4930	163	20	ω2	ω2	PROPN
ejpam-4930	163	21	c	c	PROPN
ejpam-4930	163	22	+	+	CCONJ
ejpam-4930	163	23	ω2	ω2	ADJ
ejpam-4930	163	24	)	)	PUNCT
ejpam-4930	163	25	a+	a+	PUNCT
ejpam-4930	164	1	f	f	PROPN
ejpam-4930	164	2	2ω	2ω	NUM
ejpam-4930	164	3	sin(σt−	sin(σt−	PROPN
ejpam-4930	164	4	δ	δ	PROPN
ejpam-4930	164	5	)	)	PUNCT
ejpam-4930	164	6	(	(	PUNCT
ejpam-4930	164	7	22	22	NUM
ejpam-4930	164	8	)	)	PUNCT
ejpam-4930	164	9	aδ̇	aδ̇	PUNCT
ejpam-4930	164	10	=	=	PUNCT
ejpam-4930	165	1	−	−	NOUN
ejpam-4930	165	2	kkcωc	kkcωc	NOUN
ejpam-4930	165	3	2ω(ω2	2ω(ω2	NUM
ejpam-4930	165	4	c	c	NOUN
ejpam-4930	165	5	+	+	CCONJ
ejpam-4930	165	6	ω2	ω2	ADJ
ejpam-4930	165	7	)	)	PUNCT
ejpam-4930	165	8	a+	a+	PUNCT
ejpam-4930	165	9	3α	3α	NUM
ejpam-4930	165	10	8ω	8ω	PROPN
ejpam-4930	165	11	a3	a3	NOUN
ejpam-4930	166	1	−	−	PROPN
ejpam-4930	166	2	f	f	PROPN
ejpam-4930	166	3	2ω	2ω	PROPN
ejpam-4930	166	4	cos(σt−	cos(σt−	PROPN
ejpam-4930	166	5	δ	δ	PROPN
ejpam-4930	166	6	)	)	PUNCT
ejpam-4930	166	7	(	(	PUNCT
ejpam-4930	166	8	23	23	NUM
ejpam-4930	166	9	)	)	PUNCT
ejpam-4930	166	10	to	to	PART
ejpam-4930	166	11	convert	convert	VERB
ejpam-4930	166	12	the	the	DET
ejpam-4930	166	13	non	non	ADJ
ejpam-4930	166	14	-	-	ADJ
ejpam-4930	166	15	autonomous	autonomous	ADJ
ejpam-4930	166	16	system	system	NOUN
ejpam-4930	166	17	in	in	ADP
ejpam-4930	166	18	eqs	eqs	PROPN
ejpam-4930	166	19	.	.	PUNCT
ejpam-4930	167	1	(	(	PUNCT
ejpam-4930	167	2	22	22	NUM
ejpam-4930	167	3	)	)	PUNCT
ejpam-4930	167	4	and	and	CCONJ
ejpam-4930	167	5	(	(	PUNCT
ejpam-4930	167	6	23	23	NUM
ejpam-4930	167	7	)	)	PUNCT
ejpam-4930	167	8	to	to	ADP
ejpam-4930	167	9	an	an	DET
ejpam-4930	167	10	autonomous	autonomous	ADJ
ejpam-4930	167	11	one	one	NOUN
ejpam-4930	167	12	,	,	PUNCT
ejpam-4930	167	13	we	we	PRON
ejpam-4930	167	14	should	should	AUX
ejpam-4930	167	15	propose	propose	VERB
ejpam-4930	167	16	a	a	DET
ejpam-4930	167	17	new	new	ADJ
ejpam-4930	167	18	variable	variable	NOUN
ejpam-4930	167	19	ψ	ψ	X
ejpam-4930	167	20	satisfying	satisfy	VERB
ejpam-4930	167	21	ψ	ψ	X
ejpam-4930	167	22	=	=	X
ejpam-4930	167	23	σt	σt	ADP
ejpam-4930	167	24	−	−	PROPN
ejpam-4930	167	25	δ	δ	PROPN
ejpam-4930	167	26	.	.	PUNCT
ejpam-4930	168	1	this	this	PRON
ejpam-4930	168	2	can	can	AUX
ejpam-4930	168	3	give	give	VERB
ejpam-4930	168	4	us	we	PRON
ejpam-4930	168	5	the	the	DET
ejpam-4930	168	6	following	follow	VERB
ejpam-4930	168	7	autonomous	autonomous	ADJ
ejpam-4930	168	8	system	system	NOUN
ejpam-4930	168	9	ȧ	ȧ	PROPN
ejpam-4930	168	10	=	=	NOUN
ejpam-4930	168	11	−1	−1	NOUN
ejpam-4930	168	12	2	2	NUM
ejpam-4930	168	13	(	(	PUNCT
ejpam-4930	168	14	µ+	µ+	X
ejpam-4930	168	15	kkc	kkc	NOUN
ejpam-4930	168	16	ω2	ω2	PROPN
ejpam-4930	168	17	c	c	PROPN
ejpam-4930	168	18	+	+	CCONJ
ejpam-4930	168	19	ω2	ω2	ADJ
ejpam-4930	168	20	)	)	PUNCT
ejpam-4930	168	21	a+	a+	PUNCT
ejpam-4930	168	22	f	f	PROPN
ejpam-4930	168	23	2ω	2ω	PROPN
ejpam-4930	168	24	sinψ	sinψ	NOUN
ejpam-4930	168	25	(	(	PUNCT
ejpam-4930	168	26	24	24	NUM
ejpam-4930	168	27	)	)	PUNCT
ejpam-4930	168	28	a.	a.	NOUN
ejpam-4930	168	29	kandil	kandil	PROPN
ejpam-4930	168	30	,	,	PUNCT
ejpam-4930	168	31	y.	y.	PROPN
ejpam-4930	168	32	s.	s.	PROPN
ejpam-4930	168	33	hamed	hamed	PROPN
ejpam-4930	168	34	/	/	SYM
ejpam-4930	168	35	eur	eur	PROPN
ejpam-4930	168	36	.	.	PUNCT
ejpam-4930	169	1	j.	j.	PROPN
ejpam-4930	169	2	pure	pure	PROPN
ejpam-4930	169	3	appl	appl	PROPN
ejpam-4930	169	4	.	.	PROPN
ejpam-4930	169	5	math	math	PROPN
ejpam-4930	169	6	,	,	PUNCT
ejpam-4930	169	7	16	16	NUM
ejpam-4930	169	8	(	(	PUNCT
ejpam-4930	169	9	4	4	NUM
ejpam-4930	169	10	)	)	PUNCT
ejpam-4930	169	11	(	(	PUNCT
ejpam-4930	169	12	2023	2023	NUM
ejpam-4930	169	13	)	)	PUNCT
ejpam-4930	169	14	,	,	PUNCT
ejpam-4930	169	15	2729	2729	NUM
ejpam-4930	169	16	-	-	SYM
ejpam-4930	169	17	2750	2750	NUM
ejpam-4930	169	18	2735	2735	NUM
ejpam-4930	169	19	aψ̇	aψ̇	PUNCT
ejpam-4930	169	20	=	=	SYM
ejpam-4930	169	21	(	(	PUNCT
ejpam-4930	169	22	σ	σ	PROPN
ejpam-4930	169	23	+	+	NUM
ejpam-4930	169	24	kkcωc	kkcωc	NOUN
ejpam-4930	169	25	2ω(ω2	2ω(ω2	NUM
ejpam-4930	169	26	c	c	X
ejpam-4930	169	27	+	+	CCONJ
ejpam-4930	169	28	ω2	ω2	ADJ
ejpam-4930	169	29	)	)	PUNCT
ejpam-4930	169	30	)	)	PUNCT
ejpam-4930	170	1	a−	a−	PROPN
ejpam-4930	170	2	3α	3α	NUM
ejpam-4930	170	3	8ω	8ω	PROPN
ejpam-4930	170	4	a3	a3	NOUN
ejpam-4930	170	5	+	+	CCONJ
ejpam-4930	170	6	f	f	PROPN
ejpam-4930	170	7	2ω	2ω	PROPN
ejpam-4930	170	8	cosψ	cosψ	NOUN
ejpam-4930	170	9	(	(	PUNCT
ejpam-4930	170	10	25	25	NUM
ejpam-4930	170	11	)	)	PUNCT
ejpam-4930	170	12	we	we	PRON
ejpam-4930	170	13	can	can	AUX
ejpam-4930	170	14	see	see	VERB
ejpam-4930	170	15	that	that	SCONJ
ejpam-4930	170	16	the	the	DET
ejpam-4930	170	17	original	original	ADJ
ejpam-4930	170	18	damping	damp	VERB
ejpam-4930	170	19	parameter	parameter	NOUN
ejpam-4930	170	20	µ	µ	NOUN
ejpam-4930	170	21	is	be	AUX
ejpam-4930	170	22	enhanced	enhance	VERB
ejpam-4930	170	23	by	by	ADP
ejpam-4930	170	24	a	a	DET
ejpam-4930	170	25	new	new	ADJ
ejpam-4930	170	26	quantity	quantity	NOUN
ejpam-4930	170	27	µc	µc	NOUN
ejpam-4930	170	28	=	=	SYM
ejpam-4930	170	29	kkc/(ω	kkc/(ω	PROPN
ejpam-4930	170	30	2	2	NUM
ejpam-4930	170	31	c	c	NOUN
ejpam-4930	170	32	+	+	NOUN
ejpam-4930	170	33	ω2	ω2	ADJ
ejpam-4930	170	34	)	)	PUNCT
ejpam-4930	170	35	,	,	PUNCT
ejpam-4930	170	36	while	while	SCONJ
ejpam-4930	170	37	the	the	DET
ejpam-4930	170	38	original	original	ADJ
ejpam-4930	170	39	detuning	detuning	NOUN
ejpam-4930	170	40	parameter	parameter	NOUN
ejpam-4930	170	41	σ	σ	PROPN
ejpam-4930	170	42	is	be	AUX
ejpam-4930	170	43	enhanced	enhance	VERB
ejpam-4930	170	44	by	by	ADP
ejpam-4930	170	45	a	a	DET
ejpam-4930	170	46	new	new	ADJ
ejpam-4930	170	47	quantity	quantity	NOUN
ejpam-4930	170	48	σc	σc	PROPN
ejpam-4930	170	49	=	=	PUNCT
ejpam-4930	170	50	kkcωc/2ω(ω	kkcωc/2ω(ω	PROPN
ejpam-4930	170	51	2	2	NUM
ejpam-4930	170	52	c	c	NOUN
ejpam-4930	170	53	+	+	X
ejpam-4930	170	54	ω2	ω2	ADJ
ejpam-4930	170	55	)	)	PUNCT
ejpam-4930	170	56	.	.	PUNCT
ejpam-4930	171	1	considering	consider	VERB
ejpam-4930	171	2	the	the	DET
ejpam-4930	171	3	steady	steady	ADJ
ejpam-4930	171	4	-	-	PUNCT
ejpam-4930	171	5	state	state	NOUN
ejpam-4930	171	6	relations	relation	NOUN
ejpam-4930	171	7	such	such	ADJ
ejpam-4930	171	8	that	that	DET
ejpam-4930	171	9	ȧ	ȧ	PROPN
ejpam-4930	171	10	=	=	PROPN
ejpam-4930	171	11	ψ̇	ψ̇	PROPN
ejpam-4930	171	12	=	=	SYM
ejpam-4930	171	13	0	0	PUNCT
ejpam-4930	171	14	directs	direct	VERB
ejpam-4930	171	15	us	we	PRON
ejpam-4930	171	16	to	to	ADP
ejpam-4930	171	17	(	(	PUNCT
ejpam-4930	171	18	µ+	µ+	X
ejpam-4930	171	19	µc)ass	µc)as	NOUN
ejpam-4930	171	20	=	=	SYM
ejpam-4930	171	21	f	f	PROPN
ejpam-4930	171	22	ω	ω	NUM
ejpam-4930	171	23	sinψss	sinψss	NOUN
ejpam-4930	171	24	(	(	PUNCT
ejpam-4930	171	25	26	26	NUM
ejpam-4930	171	26	)	)	PUNCT
ejpam-4930	171	27	−2(σ	−2(σ	NOUN
ejpam-4930	171	28	+	+	CCONJ
ejpam-4930	171	29	σc)ass	σc)ass	ADJ
ejpam-4930	171	30	+	+	NUM
ejpam-4930	171	31	3α	3α	NUM
ejpam-4930	171	32	4ω	4ω	NOUN
ejpam-4930	171	33	a3ss	a3ss	PUNCT
ejpam-4930	171	34	=	=	SYM
ejpam-4930	171	35	f	f	PROPN
ejpam-4930	171	36	ω	ω	NUM
ejpam-4930	171	37	cosψss	cosψss	X
ejpam-4930	171	38	(	(	PUNCT
ejpam-4930	171	39	27	27	NUM
ejpam-4930	171	40	)	)	PUNCT
ejpam-4930	171	41	where	where	SCONJ
ejpam-4930	171	42	ass	ass	NOUN
ejpam-4930	171	43	and	and	CCONJ
ejpam-4930	171	44	ψss	ψss	NOUN
ejpam-4930	171	45	represent	represent	VERB
ejpam-4930	171	46	the	the	DET
ejpam-4930	171	47	steady	steady	ADJ
ejpam-4930	171	48	-	-	PUNCT
ejpam-4930	171	49	state	state	NOUN
ejpam-4930	171	50	amplitude	amplitude	NOUN
ejpam-4930	171	51	and	and	CCONJ
ejpam-4930	171	52	phase	phase	NOUN
ejpam-4930	171	53	of	of	ADP
ejpam-4930	171	54	the	the	DET
ejpam-4930	171	55	car	car	NOUN
ejpam-4930	171	56	’s	’s	PART
ejpam-4930	171	57	motion	motion	NOUN
ejpam-4930	171	58	.	.	PUNCT
ejpam-4930	172	1	eliminating	eliminate	VERB
ejpam-4930	172	2	ψss	ψss	NOUN
ejpam-4930	172	3	from	from	ADP
ejpam-4930	172	4	eqs	eqs	PROPN
ejpam-4930	172	5	.	.	PUNCT
ejpam-4930	173	1	(	(	PUNCT
ejpam-4930	173	2	26	26	NUM
ejpam-4930	173	3	)	)	PUNCT
ejpam-4930	173	4	and	and	CCONJ
ejpam-4930	173	5	(	(	PUNCT
ejpam-4930	173	6	27	27	NUM
ejpam-4930	173	7	)	)	PUNCT
ejpam-4930	173	8	yields	yield	NOUN
ejpam-4930	173	9	(	(	PUNCT
ejpam-4930	173	10	(	(	PUNCT
ejpam-4930	173	11	µ+	µ+	X
ejpam-4930	173	12	µc	µc	PROPN
ejpam-4930	173	13	)	)	PUNCT
ejpam-4930	173	14	2	2	NUM
ejpam-4930	173	15	+	+	CCONJ
ejpam-4930	173	16	(	(	PUNCT
ejpam-4930	173	17	2(σ	2(σ	NUM
ejpam-4930	173	18	+	+	NUM
ejpam-4930	173	19	σc)−	σc)−	NOUN
ejpam-4930	173	20	3α	3α	NUM
ejpam-4930	173	21	4ω	4ω	NOUN
ejpam-4930	173	22	a2ss	a2ss	SYM
ejpam-4930	173	23	)	)	PUNCT
ejpam-4930	173	24	2	2	NUM
ejpam-4930	173	25	)	)	PUNCT
ejpam-4930	173	26	a2ss	a2ss	NOUN
ejpam-4930	173	27	−	−	PROPN
ejpam-4930	173	28	f2	f2	PROPN
ejpam-4930	173	29	ω2	ω2	NOUN
ejpam-4930	173	30	=	=	SYM
ejpam-4930	173	31	0	0	NUM
ejpam-4930	173	32	(	(	PUNCT
ejpam-4930	173	33	28	28	NUM
ejpam-4930	173	34	)	)	PUNCT
ejpam-4930	173	35	the	the	DET
ejpam-4930	173	36	equation	equation	NOUN
ejpam-4930	173	37	above	above	ADV
ejpam-4930	173	38	is	be	AUX
ejpam-4930	173	39	of	of	ADP
ejpam-4930	173	40	sixth	sixth	ADJ
ejpam-4930	173	41	-	-	PUNCT
ejpam-4930	173	42	degree	degree	NOUN
ejpam-4930	173	43	and	and	CCONJ
ejpam-4930	173	44	can	can	AUX
ejpam-4930	173	45	represent	represent	VERB
ejpam-4930	173	46	several	several	ADJ
ejpam-4930	173	47	responses	response	NOUN
ejpam-4930	173	48	such	such	ADJ
ejpam-4930	173	49	as	as	ADP
ejpam-4930	173	50	the	the	DET
ejpam-4930	173	51	frequency	frequency	NOUN
ejpam-4930	173	52	-	-	PUNCT
ejpam-4930	173	53	response	response	NOUN
ejpam-4930	173	54	(	(	PUNCT
ejpam-4930	173	55	a	a	DET
ejpam-4930	173	56	versus	versus	X
ejpam-4930	173	57	σ	σ	PROPN
ejpam-4930	173	58	)	)	PUNCT
ejpam-4930	173	59	,	,	PUNCT
ejpam-4930	173	60	the	the	DET
ejpam-4930	173	61	force	force	NOUN
ejpam-4930	173	62	-	-	PUNCT
ejpam-4930	173	63	response	response	NOUN
ejpam-4930	173	64	(	(	PUNCT
ejpam-4930	173	65	a	a	PRON
ejpam-4930	173	66	versus	versus	X
ejpam-4930	173	67	f	f	NOUN
ejpam-4930	173	68	)	)	PUNCT
ejpam-4930	173	69	,	,	PUNCT
ejpam-4930	173	70	the	the	DET
ejpam-4930	173	71	nonlinearity	nonlinearity	NOUN
ejpam-4930	173	72	-	-	PUNCT
ejpam-4930	173	73	response	response	NOUN
ejpam-4930	173	74	(	(	PUNCT
ejpam-4930	173	75	a	a	PRON
ejpam-4930	173	76	versus	versus	X
ejpam-4930	173	77	α	α	NOUN
ejpam-4930	173	78	)	)	PUNCT
ejpam-4930	173	79	,	,	PUNCT
ejpam-4930	173	80	the	the	DET
ejpam-4930	173	81	damping	damp	VERB
ejpam-4930	173	82	-	-	PUNCT
ejpam-4930	173	83	response	response	NOUN
ejpam-4930	173	84	(	(	PUNCT
ejpam-4930	173	85	a	a	DET
ejpam-4930	173	86	versus	versus	X
ejpam-4930	173	87	µ	µ	NOUN
ejpam-4930	173	88	)	)	PUNCT
ejpam-4930	173	89	,	,	PUNCT
ejpam-4930	173	90	or	or	CCONJ
ejpam-4930	173	91	the	the	DET
ejpam-4930	173	92	control	control	NOUN
ejpam-4930	173	93	-	-	PUNCT
ejpam-4930	173	94	gain	gain	NOUN
ejpam-4930	173	95	-	-	PUNCT
ejpam-4930	173	96	response	response	NOUN
ejpam-4930	173	97	(	(	PUNCT
ejpam-4930	173	98	a	a	DET
ejpam-4930	173	99	versus	versus	X
ejpam-4930	173	100	k	k	NOUN
ejpam-4930	173	101	)	)	PUNCT
ejpam-4930	173	102	.	.	PUNCT
ejpam-4930	174	1	these	these	DET
ejpam-4930	174	2	response	response	NOUN
ejpam-4930	174	3	curves	curve	NOUN
ejpam-4930	174	4	should	should	AUX
ejpam-4930	174	5	be	be	AUX
ejpam-4930	174	6	tested	test	VERB
ejpam-4930	174	7	for	for	ADP
ejpam-4930	174	8	stability	stability	NOUN
ejpam-4930	174	9	because	because	SCONJ
ejpam-4930	174	10	they	they	PRON
ejpam-4930	174	11	might	might	AUX
ejpam-4930	174	12	have	have	VERB
ejpam-4930	174	13	stable	stable	ADJ
ejpam-4930	174	14	or	or	CCONJ
ejpam-4930	174	15	unstable	unstable	ADJ
ejpam-4930	174	16	branches	branch	NOUN
ejpam-4930	174	17	all	all	ADV
ejpam-4930	174	18	over	over	ADP
ejpam-4930	174	19	the	the	DET
ejpam-4930	174	20	domain	domain	NOUN
ejpam-4930	174	21	of	of	ADP
ejpam-4930	174	22	the	the	DET
ejpam-4930	174	23	variating	variating	PROPN
ejpam-4930	174	24	parameter	parameter	NOUN
ejpam-4930	174	25	.	.	PUNCT
ejpam-4930	175	1	hence	hence	ADV
ejpam-4930	175	2	,	,	PUNCT
ejpam-4930	175	3	we	we	PRON
ejpam-4930	175	4	can	can	AUX
ejpam-4930	175	5	make	make	VERB
ejpam-4930	175	6	a	a	DET
ejpam-4930	175	7	linearization	linearization	NOUN
ejpam-4930	175	8	for	for	ADP
ejpam-4930	175	9	the	the	DET
ejpam-4930	175	10	system	system	NOUN
ejpam-4930	175	11	in	in	ADP
ejpam-4930	175	12	eqs	eqs	PROPN
ejpam-4930	175	13	.	.	PUNCT
ejpam-4930	176	1	(	(	PUNCT
ejpam-4930	176	2	24	24	NUM
ejpam-4930	176	3	)	)	PUNCT
ejpam-4930	176	4	and	and	CCONJ
ejpam-4930	176	5	(	(	PUNCT
ejpam-4930	176	6	25	25	NUM
ejpam-4930	176	7	)	)	PUNCT
ejpam-4930	176	8	to	to	PART
ejpam-4930	176	9	get	get	VERB
ejpam-4930	176	10	a	a	DET
ejpam-4930	176	11	linearized	linearize	VERB
ejpam-4930	176	12	system	system	NOUN
ejpam-4930	176	13	involving	involve	VERB
ejpam-4930	176	14	the	the	DET
ejpam-4930	176	15	jacobian	jacobian	ADJ
ejpam-4930	176	16	matrix	matrix	NOUN
ejpam-4930	176	17	of	of	ADP
ejpam-4930	176	18	partial	partial	ADJ
ejpam-4930	176	19	derivatives	derivative	NOUN
ejpam-4930	177	1	[	[	X
ejpam-4930	177	2	23	23	NUM
ejpam-4930	177	3	,	,	PUNCT
ejpam-4930	177	4	29	29	NUM
ejpam-4930	177	5	]	]	PUNCT
ejpam-4930	177	6	as	as	SCONJ
ejpam-4930	177	7	follows	follow	VERB
ejpam-4930	177	8	[	[	PUNCT
ejpam-4930	177	9	ȧsd	ȧsd	X
ejpam-4930	177	10	ψ̇sd	ψ̇sd	PUNCT
ejpam-4930	177	11	]	]	PUNCT
ejpam-4930	178	1	=	=	PUNCT
ejpam-4930	178	2	[	[	PUNCT
ejpam-4930	178	3	−1	−1	NOUN
ejpam-4930	178	4	2(µ+	2(µ+	NUM
ejpam-4930	178	5	µc	µc	NOUN
ejpam-4930	178	6	)	)	PUNCT
ejpam-4930	178	7	f	f	PROPN
ejpam-4930	178	8	2ω	2ω	PROPN
ejpam-4930	178	9	cosψss	cosψs	VERB
ejpam-4930	178	10	−3α	−3α	X
ejpam-4930	178	11	4ωass	4ωass	NUM
ejpam-4930	178	12	−	−	X
ejpam-4930	178	13	f	f	PROPN
ejpam-4930	178	14	2ωa2ss	2ωa2ss	PROPN
ejpam-4930	178	15	cosψss	cosψs	VERB
ejpam-4930	178	16	−	−	PROPN
ejpam-4930	178	17	f	f	PROPN
ejpam-4930	179	1	2ωass	2ωass	NUM
ejpam-4930	179	2	sinψss	sinψss	X
ejpam-4930	179	3	]	]	PUNCT
ejpam-4930	179	4	[	[	PUNCT
ejpam-4930	179	5	asd	asd	NOUN
ejpam-4930	179	6	ψsd	ψsd	PROPN
ejpam-4930	179	7	]	]	PUNCT
ejpam-4930	179	8	(	(	PUNCT
ejpam-4930	179	9	29	29	NUM
ejpam-4930	179	10	)	)	PUNCT
ejpam-4930	179	11	where	where	SCONJ
ejpam-4930	179	12	asd	asd	NOUN
ejpam-4930	179	13	and	and	CCONJ
ejpam-4930	179	14	ψsd	ψsd	PROPN
ejpam-4930	179	15	represent	represent	VERB
ejpam-4930	179	16	the	the	DET
ejpam-4930	179	17	small	small	ADJ
ejpam-4930	179	18	-	-	PUNCT
ejpam-4930	179	19	deviations	deviation	NOUN
ejpam-4930	179	20	around	around	ADP
ejpam-4930	179	21	the	the	DET
ejpam-4930	179	22	steady	steady	ADJ
ejpam-4930	179	23	-	-	PUNCT
ejpam-4930	179	24	state	state	NOUN
ejpam-4930	179	25	amplitude	amplitude	NOUN
ejpam-4930	179	26	and	and	CCONJ
ejpam-4930	179	27	phase	phase	NOUN
ejpam-4930	179	28	of	of	ADP
ejpam-4930	179	29	the	the	DET
ejpam-4930	179	30	car	car	NOUN
ejpam-4930	179	31	’s	’s	PART
ejpam-4930	179	32	motion	motion	NOUN
ejpam-4930	179	33	such	such	DET
ejpam-4930	179	34	that	that	SCONJ
ejpam-4930	179	35	a	a	DET
ejpam-4930	179	36	=	=	NOUN
ejpam-4930	179	37	ass	ass	NOUN
ejpam-4930	179	38	+	+	CCONJ
ejpam-4930	179	39	asd	asd	NOUN
ejpam-4930	179	40	and	and	CCONJ
ejpam-4930	179	41	ψ	ψ	X
ejpam-4930	179	42	=	=	X
ejpam-4930	179	43	ψss	ψss	NOUN
ejpam-4930	179	44	+	+	CCONJ
ejpam-4930	179	45	ψsd	ψsd	PROPN
ejpam-4930	179	46	.	.	PUNCT
ejpam-4930	180	1	the	the	DET
ejpam-4930	180	2	nature	nature	NOUN
ejpam-4930	180	3	of	of	ADP
ejpam-4930	180	4	the	the	DET
ejpam-4930	180	5	eigenvalues	eigenvalue	NOUN
ejpam-4930	180	6	of	of	ADP
ejpam-4930	180	7	the	the	DET
ejpam-4930	180	8	jacobian	jacobian	ADJ
ejpam-4930	180	9	matrix	matrix	NOUN
ejpam-4930	180	10	above	above	ADV
ejpam-4930	180	11	can	can	AUX
ejpam-4930	180	12	determine	determine	VERB
ejpam-4930	180	13	the	the	DET
ejpam-4930	180	14	stability	stability	NOUN
ejpam-4930	180	15	of	of	ADP
ejpam-4930	180	16	ass	ass	NOUN
ejpam-4930	180	17	and	and	CCONJ
ejpam-4930	180	18	ψss	ψss	NOUN
ejpam-4930	180	19	.	.	PUNCT
ejpam-4930	181	1	in	in	ADP
ejpam-4930	181	2	other	other	ADJ
ejpam-4930	181	3	words	word	NOUN
ejpam-4930	181	4	,	,	PUNCT
ejpam-4930	181	5	all	all	DET
ejpam-4930	181	6	the	the	DET
ejpam-4930	181	7	eigenvalues	eigenvalue	NOUN
ejpam-4930	181	8	with	with	ADP
ejpam-4930	181	9	negative	negative	ADJ
ejpam-4930	181	10	real	real	ADJ
ejpam-4930	181	11	parts	part	NOUN
ejpam-4930	181	12	refer	refer	VERB
ejpam-4930	181	13	to	to	ADP
ejpam-4930	181	14	asymptotically	asymptotically	ADV
ejpam-4930	181	15	stable	stable	ADJ
ejpam-4930	181	16	amplitude	amplitude	NOUN
ejpam-4930	181	17	and	and	CCONJ
ejpam-4930	181	18	phase	phase	NOUN
ejpam-4930	181	19	.	.	PUNCT
ejpam-4930	182	1	otherwise	otherwise	ADV
ejpam-4930	182	2	,	,	PUNCT
ejpam-4930	182	3	they	they	PRON
ejpam-4930	182	4	are	be	AUX
ejpam-4930	182	5	unstable	unstable	ADJ
ejpam-4930	182	6	.	.	PUNCT
ejpam-4930	183	1	this	this	DET
ejpam-4930	183	2	criterion	criterion	NOUN
ejpam-4930	183	3	is	be	AUX
ejpam-4930	183	4	taken	take	VERB
ejpam-4930	183	5	into	into	ADP
ejpam-4930	183	6	account	account	NOUN
ejpam-4930	183	7	during	during	ADP
ejpam-4930	183	8	plotting	plot	VERB
ejpam-4930	183	9	the	the	DET
ejpam-4930	183	10	curves	curve	NOUN
ejpam-4930	183	11	on	on	ADP
ejpam-4930	183	12	the	the	DET
ejpam-4930	183	13	computer	computer	NOUN
ejpam-4930	183	14	software	software	NOUN
ejpam-4930	183	15	that	that	PRON
ejpam-4930	183	16	is	be	AUX
ejpam-4930	183	17	programmed	program	VERB
ejpam-4930	183	18	with	with	ADP
ejpam-4930	183	19	such	such	ADJ
ejpam-4930	183	20	criterion	criterion	NOUN
ejpam-4930	183	21	.	.	PUNCT
ejpam-4930	184	1	3	3	X
ejpam-4930	184	2	.	.	X
ejpam-4930	184	3	car	car	NOUN
ejpam-4930	184	4	’s	’s	PART
ejpam-4930	184	5	motion	motion	NOUN
ejpam-4930	184	6	different	different	ADJ
ejpam-4930	184	7	responses	response	NOUN
ejpam-4930	184	8	upon	upon	SCONJ
ejpam-4930	184	9	reaching	reach	VERB
ejpam-4930	184	10	eq	eq	NOUN
ejpam-4930	184	11	.	.	PUNCT
ejpam-4930	185	1	(	(	PUNCT
ejpam-4930	185	2	28	28	NUM
ejpam-4930	185	3	)	)	PUNCT
ejpam-4930	185	4	in	in	ADP
ejpam-4930	185	5	the	the	DET
ejpam-4930	185	6	previous	previous	ADJ
ejpam-4930	185	7	section	section	NOUN
ejpam-4930	185	8	,	,	PUNCT
ejpam-4930	185	9	different	different	ADJ
ejpam-4930	185	10	response	response	NOUN
ejpam-4930	185	11	curves	curve	NOUN
ejpam-4930	185	12	of	of	ADP
ejpam-4930	185	13	the	the	DET
ejpam-4930	185	14	car	car	NOUN
ejpam-4930	185	15	’s	’s	PART
ejpam-4930	185	16	motion	motion	NOUN
ejpam-4930	185	17	amplitude	amplitude	NOUN
ejpam-4930	185	18	to	to	ADP
ejpam-4930	185	19	the	the	DET
ejpam-4930	185	20	frequency	frequency	NOUN
ejpam-4930	185	21	detuning	detuning	PROPN
ejpam-4930	185	22	σ	σ	PROPN
ejpam-4930	185	23	,	,	PUNCT
ejpam-4930	185	24	the	the	DET
ejpam-4930	185	25	force	force	NOUN
ejpam-4930	185	26	amplitude	amplitude	NOUN
ejpam-4930	185	27	f	f	NOUN
ejpam-4930	185	28	,	,	PUNCT
ejpam-4930	185	29	and	and	CCONJ
ejpam-4930	185	30	the	the	DET
ejpam-4930	185	31	time	time	NOUN
ejpam-4930	185	32	t.	t.	NOUN
ejpam-4930	185	33	these	these	DET
ejpam-4930	185	34	response	response	NOUN
ejpam-4930	185	35	curves	curve	NOUN
ejpam-4930	185	36	tells	tell	VERB
ejpam-4930	185	37	the	the	DET
ejpam-4930	185	38	reader	reader	NOUN
ejpam-4930	185	39	how	how	SCONJ
ejpam-4930	185	40	the	the	DET
ejpam-4930	185	41	irc	irc	NOUN
ejpam-4930	185	42	can	can	AUX
ejpam-4930	185	43	affect	affect	VERB
ejpam-4930	185	44	the	the	DET
ejpam-4930	185	45	behavior	behavior	NOUN
ejpam-4930	185	46	of	of	ADP
ejpam-4930	185	47	the	the	DET
ejpam-4930	185	48	car	car	NOUN
ejpam-4930	185	49	’s	’s	PART
ejpam-4930	185	50	motion	motion	NOUN
ejpam-4930	185	51	.	.	PUNCT
ejpam-4930	186	1	according	accord	VERB
ejpam-4930	186	2	to	to	ADP
ejpam-4930	186	3	this	this	DET
ejpam-4930	186	4	discussion	discussion	NOUN
ejpam-4930	186	5	,	,	PUNCT
ejpam-4930	186	6	the	the	DET
ejpam-4930	186	7	model	model	NOUN
ejpam-4930	186	8	constants	constant	NOUN
ejpam-4930	186	9	adopted	adopt	VERB
ejpam-4930	186	10	in	in	ADP
ejpam-4930	186	11	its	its	PRON
ejpam-4930	186	12	operation	operation	NOUN
ejpam-4930	186	13	are	be	AUX
ejpam-4930	186	14	as	as	SCONJ
ejpam-4930	186	15	follows	follow	VERB
ejpam-4930	186	16	:	:	PUNCT
ejpam-4930	186	17	µ	µ	X
ejpam-4930	186	18	=	=	SYM
ejpam-4930	186	19	0.02	0.02	NUM
ejpam-4930	186	20	,	,	PUNCT
ejpam-4930	186	21	ω	ω	X
ejpam-4930	186	22	=	=	SYM
ejpam-4930	186	23	3.1623	3.1623	NUM
ejpam-4930	186	24	,	,	PUNCT
ejpam-4930	186	25	α	α	NOUN
ejpam-4930	186	26	=	=	NOUN
ejpam-4930	186	27	0.8	0.8	NUM
ejpam-4930	186	28	.	.	PUNCT
ejpam-4930	187	1	any	any	DET
ejpam-4930	187	2	other	other	ADJ
ejpam-4930	187	3	parameters	parameter	NOUN
ejpam-4930	187	4	will	will	AUX
ejpam-4930	187	5	be	be	AUX
ejpam-4930	187	6	mentioned	mention	VERB
ejpam-4930	187	7	a.	a.	NOUN
ejpam-4930	187	8	kandil	kandil	PROPN
ejpam-4930	187	9	,	,	PUNCT
ejpam-4930	187	10	y.	y.	PROPN
ejpam-4930	187	11	s.	s.	PROPN
ejpam-4930	187	12	hamed	hamed	PROPN
ejpam-4930	187	13	/	/	SYM
ejpam-4930	187	14	eur	eur	PROPN
ejpam-4930	187	15	.	.	PUNCT
ejpam-4930	188	1	j.	j.	PROPN
ejpam-4930	188	2	pure	pure	PROPN
ejpam-4930	188	3	appl	appl	PROPN
ejpam-4930	188	4	.	.	PROPN
ejpam-4930	188	5	math	math	PROPN
ejpam-4930	188	6	,	,	PUNCT
ejpam-4930	188	7	16	16	NUM
ejpam-4930	188	8	(	(	PUNCT
ejpam-4930	188	9	4	4	NUM
ejpam-4930	188	10	)	)	PUNCT
ejpam-4930	188	11	(	(	PUNCT
ejpam-4930	188	12	2023	2023	NUM
ejpam-4930	188	13	)	)	PUNCT
ejpam-4930	188	14	,	,	PUNCT
ejpam-4930	188	15	2729	2729	NUM
ejpam-4930	188	16	-	-	SYM
ejpam-4930	188	17	2750	2750	NUM
ejpam-4930	188	18	2736	2736	NUM
ejpam-4930	188	19	consequently	consequently	ADV
ejpam-4930	188	20	due	due	ADP
ejpam-4930	188	21	to	to	ADP
ejpam-4930	188	22	the	the	DET
ejpam-4930	188	23	studied	study	VERB
ejpam-4930	188	24	response	response	NOUN
ejpam-4930	188	25	.	.	PUNCT
ejpam-4930	189	1	based	base	VERB
ejpam-4930	189	2	on	on	ADP
ejpam-4930	189	3	the	the	DET
ejpam-4930	189	4	nature	nature	NOUN
ejpam-4930	189	5	of	of	ADP
ejpam-4930	189	6	the	the	DET
ejpam-4930	189	7	eigenvalues	eigenvalue	NOUN
ejpam-4930	189	8	of	of	ADP
ejpam-4930	189	9	the	the	DET
ejpam-4930	189	10	jacobian	jacobian	ADJ
ejpam-4930	189	11	matrix	matrix	NOUN
ejpam-4930	189	12	in	in	ADP
ejpam-4930	189	13	eq	eq	PROPN
ejpam-4930	189	14	.	.	PUNCT
ejpam-4930	190	1	(	(	PUNCT
ejpam-4930	190	2	29	29	NUM
ejpam-4930	190	3	)	)	PUNCT
ejpam-4930	190	4	,	,	PUNCT
ejpam-4930	190	5	the	the	DET
ejpam-4930	190	6	upcoming	upcoming	ADJ
ejpam-4930	190	7	-	-	PUNCT
ejpam-4930	190	8	plotted	plot	VERB
ejpam-4930	190	9	branches	branch	NOUN
ejpam-4930	190	10	are	be	AUX
ejpam-4930	190	11	either	either	CCONJ
ejpam-4930	190	12	solid	solid	ADJ
ejpam-4930	190	13	referring	refer	VERB
ejpam-4930	190	14	to	to	ADP
ejpam-4930	190	15	stable	stable	ADJ
ejpam-4930	190	16	response	response	NOUN
ejpam-4930	190	17	path	path	NOUN
ejpam-4930	190	18	,	,	PUNCT
ejpam-4930	190	19	or	or	CCONJ
ejpam-4930	190	20	dashed	dash	VERB
ejpam-4930	190	21	referring	refer	VERB
ejpam-4930	190	22	to	to	ADP
ejpam-4930	190	23	unstable	unstable	ADJ
ejpam-4930	190	24	response	response	NOUN
ejpam-4930	190	25	path	path	NOUN
ejpam-4930	190	26	.	.	PUNCT
ejpam-4930	191	1	figure	figure	NOUN
ejpam-4930	191	2	2	2	NUM
ejpam-4930	191	3	clarifies	clarify	VERB
ejpam-4930	191	4	the	the	DET
ejpam-4930	191	5	response	response	NOUN
ejpam-4930	191	6	of	of	ADP
ejpam-4930	191	7	the	the	DET
ejpam-4930	191	8	car	car	NOUN
ejpam-4930	191	9	’s	’s	PART
ejpam-4930	191	10	motion	motion	NOUN
ejpam-4930	191	11	amplitude	amplitude	NOUN
ejpam-4930	191	12	a	a	PRON
ejpam-4930	191	13	to	to	ADP
ejpam-4930	191	14	both	both	CCONJ
ejpam-4930	191	15	the	the	DET
ejpam-4930	191	16	frequency	frequency	NOUN
ejpam-4930	191	17	detuning	detuning	NOUN
ejpam-4930	191	18	σ	σ	PROPN
ejpam-4930	191	19	and	and	CCONJ
ejpam-4930	191	20	the	the	DET
ejpam-4930	191	21	force	force	NOUN
ejpam-4930	191	22	amplitude	amplitude	NOUN
ejpam-4930	191	23	f	f	PROPN
ejpam-4930	191	24	in	in	ADP
ejpam-4930	191	25	case	case	NOUN
ejpam-4930	191	26	that	that	SCONJ
ejpam-4930	191	27	the	the	DET
ejpam-4930	191	28	controller	controller	NOUN
ejpam-4930	191	29	irc	irc	ADV
ejpam-4930	191	30	is	be	AUX
ejpam-4930	191	31	off	off	ADV
ejpam-4930	191	32	(	(	PUNCT
ejpam-4930	191	33	k	k	NOUN
ejpam-4930	191	34	=	=	NOUN
ejpam-4930	191	35	0	0	NUM
ejpam-4930	191	36	)	)	PUNCT
ejpam-4930	191	37	.	.	PUNCT
ejpam-4930	192	1	around	around	ADP
ejpam-4930	192	2	the	the	DET
ejpam-4930	192	3	region	region	NOUN
ejpam-4930	192	4	whose	whose	DET
ejpam-4930	192	5	center	center	NOUN
ejpam-4930	192	6	is	be	AUX
ejpam-4930	192	7	σ	σ	NOUN
ejpam-4930	192	8	=	=	SYM
ejpam-4930	192	9	0	0	NUM
ejpam-4930	192	10	,	,	PUNCT
ejpam-4930	192	11	the	the	DET
ejpam-4930	192	12	amplitude	amplitude	NOUN
ejpam-4930	192	13	begins	begin	VERB
ejpam-4930	192	14	to	to	PART
ejpam-4930	192	15	rise	rise	VERB
ejpam-4930	192	16	as	as	SCONJ
ejpam-4930	192	17	we	we	PRON
ejpam-4930	192	18	approach	approach	VERB
ejpam-4930	192	19	the	the	DET
ejpam-4930	192	20	center	center	NOUN
ejpam-4930	192	21	point	point	NOUN
ejpam-4930	192	22	at	at	ADP
ejpam-4930	192	23	f	f	PROPN
ejpam-4930	192	24	=	=	PROPN
ejpam-4930	192	25	0.02	0.02	NUM
ejpam-4930	192	26	where	where	SCONJ
ejpam-4930	192	27	the	the	DET
ejpam-4930	192	28	curve	curve	NOUN
ejpam-4930	192	29	is	be	AUX
ejpam-4930	192	30	of	of	ADP
ejpam-4930	192	31	linear	linear	ADJ
ejpam-4930	192	32	form	form	NOUN
ejpam-4930	192	33	or	or	CCONJ
ejpam-4930	192	34	single	single	ADJ
ejpam-4930	192	35	stable	stable	ADJ
ejpam-4930	192	36	solid	solid	ADJ
ejpam-4930	192	37	branch	branch	NOUN
ejpam-4930	192	38	form	form	NOUN
ejpam-4930	192	39	.	.	PUNCT
ejpam-4930	193	1	as	as	SCONJ
ejpam-4930	193	2	f	f	PROPN
ejpam-4930	193	3	increases	increase	VERB
ejpam-4930	193	4	to	to	ADP
ejpam-4930	193	5	0.04	0.04	NUM
ejpam-4930	193	6	for	for	ADP
ejpam-4930	193	7	example	example	NOUN
ejpam-4930	193	8	,	,	PUNCT
ejpam-4930	193	9	unstable	unstable	ADJ
ejpam-4930	193	10	dashed	dash	VERB
ejpam-4930	193	11	branch	branch	NOUN
ejpam-4930	193	12	appears	appear	VERB
ejpam-4930	193	13	as	as	SCONJ
ejpam-4930	193	14	shown	show	VERB
ejpam-4930	193	15	indicating	indicate	VERB
ejpam-4930	193	16	the	the	DET
ejpam-4930	193	17	existence	existence	NOUN
ejpam-4930	193	18	of	of	ADP
ejpam-4930	193	19	multiple	multiple	ADJ
ejpam-4930	193	20	branches	branch	NOUN
ejpam-4930	193	21	within	within	ADP
ejpam-4930	193	22	the	the	DET
ejpam-4930	193	23	hardening	harden	VERB
ejpam-4930	193	24	region	region	NOUN
ejpam-4930	193	25	.	.	PUNCT
ejpam-4930	194	1	as	as	SCONJ
ejpam-4930	194	2	f	f	PROPN
ejpam-4930	194	3	increases	increase	VERB
ejpam-4930	194	4	more	more	ADV
ejpam-4930	194	5	and	and	CCONJ
ejpam-4930	194	6	more	more	ADV
ejpam-4930	194	7	,	,	PUNCT
ejpam-4930	194	8	the	the	DET
ejpam-4930	194	9	hardening	harden	VERB
ejpam-4930	194	10	region	region	NOUN
ejpam-4930	194	11	expands	expands	AUX
ejpam-4930	194	12	accompanied	accompany	VERB
ejpam-4930	194	13	by	by	ADP
ejpam-4930	194	14	higher	high	ADJ
ejpam-4930	194	15	amplitudes	amplitude	NOUN
ejpam-4930	194	16	.	.	PUNCT
ejpam-4930	195	1	this	this	DET
ejpam-4930	195	2	nonlinear	nonlinear	ADJ
ejpam-4930	195	3	phenomenon	phenomenon	NOUN
ejpam-4930	195	4	shows	show	VERB
ejpam-4930	195	5	the	the	DET
ejpam-4930	195	6	dependence	dependence	NOUN
ejpam-4930	195	7	of	of	ADP
ejpam-4930	195	8	the	the	DET
ejpam-4930	195	9	curve	curve	NOUN
ejpam-4930	195	10	’s	’s	PART
ejpam-4930	195	11	hardening	harden	VERB
ejpam-4930	195	12	rate	rate	NOUN
ejpam-4930	195	13	(	(	PUNCT
ejpam-4930	195	14	due	due	ADP
ejpam-4930	195	15	to	to	ADP
ejpam-4930	195	16	hard	hard	ADJ
ejpam-4930	195	17	spring	spring	NOUN
ejpam-4930	195	18	)	)	PUNCT
ejpam-4930	195	19	on	on	ADP
ejpam-4930	195	20	the	the	DET
ejpam-4930	195	21	external	external	ADJ
ejpam-4930	195	22	force	force	NOUN
ejpam-4930	195	23	amplitude	amplitude	NOUN
ejpam-4930	195	24	that	that	PRON
ejpam-4930	195	25	enhances	enhance	VERB
ejpam-4930	195	26	the	the	DET
ejpam-4930	195	27	domination	domination	NOUN
ejpam-4930	195	28	of	of	ADP
ejpam-4930	195	29	the	the	DET
ejpam-4930	195	30	cubic	cubic	ADJ
ejpam-4930	195	31	nonlinearity	nonlinearity	NOUN
ejpam-4930	195	32	upon	upon	SCONJ
ejpam-4930	195	33	the	the	DET
ejpam-4930	195	34	system	system	NOUN
ejpam-4930	195	35	operation	operation	NOUN
ejpam-4930	195	36	.	.	PUNCT
ejpam-4930	196	1	figure	figure	VERB
ejpam-4930	196	2	3	3	NUM
ejpam-4930	196	3	pictures	picture	NOUN
ejpam-4930	196	4	the	the	DET
ejpam-4930	196	5	response	response	NOUN
ejpam-4930	196	6	of	of	ADP
ejpam-4930	196	7	the	the	DET
ejpam-4930	196	8	car	car	NOUN
ejpam-4930	196	9	’s	’s	PART
ejpam-4930	196	10	motion	motion	NOUN
ejpam-4930	196	11	amplitude	amplitude	NOUN
ejpam-4930	196	12	a	a	PRON
ejpam-4930	196	13	to	to	ADP
ejpam-4930	196	14	both	both	CCONJ
ejpam-4930	196	15	the	the	DET
ejpam-4930	196	16	frequency	frequency	NOUN
ejpam-4930	196	17	detuning	detuning	NOUN
ejpam-4930	196	18	σ	σ	PROPN
ejpam-4930	196	19	and	and	CCONJ
ejpam-4930	196	20	the	the	DET
ejpam-4930	196	21	damping	damp	VERB
ejpam-4930	196	22	factor	factor	NOUN
ejpam-4930	196	23	µ	µ	NOUN
ejpam-4930	196	24	while	while	SCONJ
ejpam-4930	196	25	the	the	DET
ejpam-4930	196	26	controller	controller	NOUN
ejpam-4930	196	27	irc	irc	VERB
ejpam-4930	196	28	is	be	AUX
ejpam-4930	196	29	deactivated	deactivate	VERB
ejpam-4930	196	30	(	(	PUNCT
ejpam-4930	196	31	k	k	NOUN
ejpam-4930	196	32	=	=	NOUN
ejpam-4930	196	33	0	0	NUM
ejpam-4930	196	34	)	)	PUNCT
ejpam-4930	196	35	.	.	PUNCT
ejpam-4930	197	1	here	here	ADV
ejpam-4930	197	2	,	,	PUNCT
ejpam-4930	197	3	the	the	DET
ejpam-4930	197	4	damping	damp	VERB
ejpam-4930	197	5	factor	factor	NOUN
ejpam-4930	197	6	can	can	AUX
ejpam-4930	197	7	be	be	AUX
ejpam-4930	197	8	an	an	DET
ejpam-4930	197	9	obstacle	obstacle	NOUN
ejpam-4930	197	10	in	in	ADP
ejpam-4930	197	11	the	the	DET
ejpam-4930	197	12	way	way	NOUN
ejpam-4930	197	13	of	of	ADP
ejpam-4930	197	14	nonlinearity	nonlinearity	NOUN
ejpam-4930	197	15	domination	domination	NOUN
ejpam-4930	197	16	over	over	ADP
ejpam-4930	197	17	the	the	DET
ejpam-4930	197	18	system	system	NOUN
ejpam-4930	197	19	.	.	PUNCT
ejpam-4930	198	1	if	if	SCONJ
ejpam-4930	198	2	µ	µ	DET
ejpam-4930	198	3	increases	increase	NOUN
ejpam-4930	198	4	,	,	PUNCT
ejpam-4930	198	5	it	it	PRON
ejpam-4930	198	6	can	can	AUX
ejpam-4930	198	7	make	make	VERB
ejpam-4930	198	8	the	the	DET
ejpam-4930	198	9	hardening	harden	VERB
ejpam-4930	198	10	region	region	NOUN
ejpam-4930	198	11	more	more	ADV
ejpam-4930	198	12	wrinkled	wrinkle	VERB
ejpam-4930	198	13	leading	lead	VERB
ejpam-4930	198	14	to	to	ADP
ejpam-4930	198	15	decreasing	decrease	VERB
ejpam-4930	198	16	the	the	DET
ejpam-4930	198	17	possibility	possibility	NOUN
ejpam-4930	198	18	of	of	ADP
ejpam-4930	198	19	the	the	DET
ejpam-4930	198	20	multiple	multiple	ADJ
ejpam-4930	198	21	branches	branch	NOUN
ejpam-4930	198	22	existence	existence	NOUN
ejpam-4930	198	23	.	.	PUNCT
ejpam-4930	199	1	continuing	continue	VERB
ejpam-4930	199	2	the	the	DET
ejpam-4930	199	3	discussion	discussion	NOUN
ejpam-4930	199	4	in	in	ADP
ejpam-4930	199	5	fig	fig	NOUN
ejpam-4930	199	6	.	.	PUNCT
ejpam-4930	200	1	4	4	NUM
ejpam-4930	200	2	,	,	PUNCT
ejpam-4930	200	3	it	it	PRON
ejpam-4930	200	4	shows	show	VERB
ejpam-4930	200	5	the	the	DET
ejpam-4930	200	6	response	response	NOUN
ejpam-4930	200	7	of	of	ADP
ejpam-4930	200	8	the	the	DET
ejpam-4930	200	9	car	car	NOUN
ejpam-4930	200	10	’s	’s	PART
ejpam-4930	200	11	motion	motion	NOUN
ejpam-4930	200	12	amplitude	amplitude	NOUN
ejpam-4930	200	13	a	a	PRON
ejpam-4930	200	14	to	to	ADP
ejpam-4930	200	15	both	both	CCONJ
ejpam-4930	200	16	the	the	DET
ejpam-4930	200	17	frequency	frequency	NOUN
ejpam-4930	200	18	detuning	detuning	NOUN
ejpam-4930	200	19	σ	σ	PROPN
ejpam-4930	200	20	and	and	CCONJ
ejpam-4930	200	21	the	the	DET
ejpam-4930	200	22	nonlinearity	nonlinearity	NOUN
ejpam-4930	200	23	factor	factor	NOUN
ejpam-4930	200	24	α	α	NOUN
ejpam-4930	200	25	with	with	ADP
ejpam-4930	200	26	the	the	DET
ejpam-4930	200	27	controller	controller	NOUN
ejpam-4930	200	28	irc	irc	AUX
ejpam-4930	200	29	being	be	AUX
ejpam-4930	200	30	disabled	disable	VERB
ejpam-4930	200	31	(	(	PUNCT
ejpam-4930	200	32	k	k	NOUN
ejpam-4930	200	33	=	=	NOUN
ejpam-4930	200	34	0	0	NUM
ejpam-4930	200	35	)	)	PUNCT
ejpam-4930	200	36	.	.	PUNCT
ejpam-4930	201	1	it	it	PRON
ejpam-4930	201	2	is	be	AUX
ejpam-4930	201	3	clear	clear	ADJ
ejpam-4930	201	4	at	at	ADP
ejpam-4930	201	5	α	α	X
ejpam-4930	201	6	=	=	SYM
ejpam-4930	201	7	0	0	NUM
ejpam-4930	201	8	that	that	SCONJ
ejpam-4930	201	9	the	the	DET
ejpam-4930	201	10	car	car	NOUN
ejpam-4930	201	11	’s	’s	PART
ejpam-4930	201	12	motion	motion	NOUN
ejpam-4930	201	13	amplitude	amplitude	NOUN
ejpam-4930	201	14	responds	respond	VERB
ejpam-4930	201	15	linearly	linearly	ADV
ejpam-4930	201	16	with	with	ADP
ejpam-4930	201	17	only	only	ADV
ejpam-4930	201	18	a	a	DET
ejpam-4930	201	19	single	single	ADJ
ejpam-4930	201	20	branch	branch	NOUN
ejpam-4930	201	21	of	of	ADP
ejpam-4930	201	22	solutions	solution	NOUN
ejpam-4930	201	23	.	.	PUNCT
ejpam-4930	202	1	in	in	ADP
ejpam-4930	202	2	addition	addition	NOUN
ejpam-4930	202	3	,	,	PUNCT
ejpam-4930	202	4	as	as	SCONJ
ejpam-4930	202	5	α	α	PROPN
ejpam-4930	202	6	increases	increase	VERB
ejpam-4930	202	7	positively	positively	ADV
ejpam-4930	202	8	or	or	CCONJ
ejpam-4930	202	9	negatively	negatively	ADV
ejpam-4930	202	10	,	,	PUNCT
ejpam-4930	202	11	the	the	DET
ejpam-4930	202	12	car	car	NOUN
ejpam-4930	202	13	’s	’s	PART
ejpam-4930	202	14	motion	motion	NOUN
ejpam-4930	202	15	amplitude	amplitude	NOUN
ejpam-4930	202	16	curve	curve	NOUN
ejpam-4930	202	17	bends	bend	NOUN
ejpam-4930	202	18	proportionally	proportionally	ADV
ejpam-4930	202	19	to	to	ADP
ejpam-4930	202	20	the	the	DET
ejpam-4930	202	21	right	right	NOUN
ejpam-4930	202	22	(	(	PUNCT
ejpam-4930	202	23	hardening	harden	VERB
ejpam-4930	202	24	effect	effect	NOUN
ejpam-4930	202	25	)	)	PUNCT
ejpam-4930	202	26	or	or	CCONJ
ejpam-4930	202	27	to	to	ADP
ejpam-4930	202	28	the	the	DET
ejpam-4930	202	29	left	left	NOUN
ejpam-4930	202	30	(	(	PUNCT
ejpam-4930	202	31	softening	soften	VERB
ejpam-4930	202	32	effect	effect	NOUN
ejpam-4930	202	33	)	)	PUNCT
ejpam-4930	202	34	,	,	PUNCT
ejpam-4930	202	35	respectively	respectively	ADV
ejpam-4930	202	36	.	.	PUNCT
ejpam-4930	203	1	this	this	PRON
ejpam-4930	203	2	can	can	AUX
ejpam-4930	203	3	clarify	clarify	VERB
ejpam-4930	203	4	the	the	DET
ejpam-4930	203	5	nonlinearity	nonlinearity	NOUN
ejpam-4930	203	6	domination	domination	NOUN
ejpam-4930	203	7	over	over	ADP
ejpam-4930	203	8	the	the	DET
ejpam-4930	203	9	car	car	NOUN
ejpam-4930	203	10	’s	’s	PART
ejpam-4930	203	11	motion	motion	NOUN
ejpam-4930	203	12	response	response	NOUN
ejpam-4930	203	13	.	.	PUNCT
ejpam-4930	204	1	figure	figure	NOUN
ejpam-4930	204	2	5	5	NUM
ejpam-4930	204	3	indicates	indicate	VERB
ejpam-4930	204	4	the	the	DET
ejpam-4930	204	5	response	response	NOUN
ejpam-4930	204	6	of	of	ADP
ejpam-4930	204	7	the	the	DET
ejpam-4930	204	8	car	car	NOUN
ejpam-4930	204	9	’s	’s	PART
ejpam-4930	204	10	motion	motion	NOUN
ejpam-4930	204	11	amplitude	amplitude	NOUN
ejpam-4930	204	12	a	a	PRON
ejpam-4930	204	13	to	to	ADP
ejpam-4930	204	14	the	the	DET
ejpam-4930	204	15	force	force	NOUN
ejpam-4930	204	16	amplitude	amplitude	NOUN
ejpam-4930	204	17	f	f	PROPN
ejpam-4930	204	18	and	and	CCONJ
ejpam-4930	204	19	the	the	DET
ejpam-4930	204	20	frequency	frequency	NOUN
ejpam-4930	204	21	detuning	detuning	NOUN
ejpam-4930	204	22	σ	σ	PROPN
ejpam-4930	204	23	in	in	ADP
ejpam-4930	204	24	case	case	NOUN
ejpam-4930	204	25	that	that	SCONJ
ejpam-4930	204	26	irc	irc	ADV
ejpam-4930	204	27	is	be	AUX
ejpam-4930	204	28	off	off	ADV
ejpam-4930	204	29	(	(	PUNCT
ejpam-4930	204	30	k	k	NOUN
ejpam-4930	204	31	=	=	NOUN
ejpam-4930	204	32	0	0	NUM
ejpam-4930	204	33	)	)	PUNCT
ejpam-4930	204	34	.	.	PUNCT
ejpam-4930	205	1	as	as	SCONJ
ejpam-4930	205	2	σ	σ	PROPN
ejpam-4930	205	3	increases	increase	NOUN
ejpam-4930	205	4	from	from	ADP
ejpam-4930	205	5	−0.1	−0.1	PROPN
ejpam-4930	205	6	to	to	ADP
ejpam-4930	205	7	0.0	0.0	NUM
ejpam-4930	205	8	,	,	PUNCT
ejpam-4930	205	9	the	the	DET
ejpam-4930	205	10	amplitude	amplitude	NOUN
ejpam-4930	205	11	responds	respond	VERB
ejpam-4930	205	12	in	in	ADP
ejpam-4930	205	13	a	a	DET
ejpam-4930	205	14	linear	linear	ADJ
ejpam-4930	205	15	manner	manner	NOUN
ejpam-4930	205	16	where	where	SCONJ
ejpam-4930	205	17	there	there	PRON
ejpam-4930	205	18	are	be	VERB
ejpam-4930	205	19	no	no	DET
ejpam-4930	205	20	jumps	jump	NOUN
ejpam-4930	205	21	in	in	ADP
ejpam-4930	205	22	the	the	DET
ejpam-4930	205	23	curve	curve	NOUN
ejpam-4930	205	24	as	as	SCONJ
ejpam-4930	205	25	can	can	AUX
ejpam-4930	205	26	be	be	AUX
ejpam-4930	205	27	seen	see	VERB
ejpam-4930	205	28	.	.	PUNCT
ejpam-4930	206	1	after	after	ADP
ejpam-4930	206	2	that	that	PRON
ejpam-4930	206	3	at	at	ADP
ejpam-4930	206	4	σ	σ	PROPN
ejpam-4930	206	5	=	=	PROPN
ejpam-4930	206	6	0.05	0.05	NUM
ejpam-4930	206	7	and	and	CCONJ
ejpam-4930	206	8	more	more	ADJ
ejpam-4930	206	9	,	,	PUNCT
ejpam-4930	206	10	the	the	DET
ejpam-4930	206	11	jump	jump	NOUN
ejpam-4930	206	12	phenomena	phenomenon	NOUN
ejpam-4930	206	13	start	start	VERB
ejpam-4930	206	14	to	to	PART
ejpam-4930	206	15	appear	appear	VERB
ejpam-4930	206	16	where	where	SCONJ
ejpam-4930	206	17	the	the	DET
ejpam-4930	206	18	car	car	NOUN
ejpam-4930	206	19	faces	face	VERB
ejpam-4930	206	20	sudden	sudden	ADJ
ejpam-4930	206	21	jumps	jump	NOUN
ejpam-4930	206	22	at	at	ADP
ejpam-4930	206	23	every	every	DET
ejpam-4930	206	24	saddle	saddle	NOUN
ejpam-4930	206	25	-	-	PUNCT
ejpam-4930	206	26	node	node	NOUN
ejpam-4930	206	27	bifurcation	bifurcation	NOUN
ejpam-4930	206	28	point	point	NOUN
ejpam-4930	206	29	as	as	SCONJ
ejpam-4930	206	30	shown	show	VERB
ejpam-4930	206	31	in	in	ADP
ejpam-4930	206	32	the	the	DET
ejpam-4930	206	33	figure	figure	NOUN
ejpam-4930	206	34	.	.	PUNCT
ejpam-4930	207	1	moreover	moreover	ADV
ejpam-4930	207	2	in	in	ADP
ejpam-4930	207	3	fig	fig	NOUN
ejpam-4930	207	4	.	.	PUNCT
ejpam-4930	208	1	6	6	NUM
ejpam-4930	208	2	,	,	PUNCT
ejpam-4930	208	3	the	the	DET
ejpam-4930	208	4	car	car	NOUN
ejpam-4930	208	5	’s	’s	PART
ejpam-4930	208	6	motion	motion	NOUN
ejpam-4930	208	7	amplitude	amplitude	NOUN
ejpam-4930	208	8	a	a	PRON
ejpam-4930	208	9	is	be	AUX
ejpam-4930	208	10	affected	affect	VERB
ejpam-4930	208	11	by	by	ADP
ejpam-4930	208	12	to	to	ADP
ejpam-4930	208	13	the	the	DET
ejpam-4930	208	14	force	force	NOUN
ejpam-4930	208	15	amplitude	amplitude	NOUN
ejpam-4930	208	16	f	f	PROPN
ejpam-4930	208	17	along	along	ADP
ejpam-4930	208	18	with	with	ADP
ejpam-4930	208	19	the	the	DET
ejpam-4930	208	20	damping	damp	VERB
ejpam-4930	208	21	factor	factor	NOUN
ejpam-4930	208	22	µ	µ	NOUN
ejpam-4930	208	23	before	before	ADP
ejpam-4930	208	24	control	control	NOUN
ejpam-4930	208	25	.	.	PUNCT
ejpam-4930	209	1	the	the	DET
ejpam-4930	209	2	clear	clear	ADJ
ejpam-4930	209	3	thing	thing	NOUN
ejpam-4930	209	4	is	be	AUX
ejpam-4930	209	5	that	that	SCONJ
ejpam-4930	209	6	the	the	DET
ejpam-4930	209	7	interval	interval	NOUN
ejpam-4930	209	8	of	of	ADP
ejpam-4930	209	9	the	the	DET
ejpam-4930	209	10	unstable	unstable	ADJ
ejpam-4930	209	11	branch	branch	NOUN
ejpam-4930	209	12	becomes	become	VERB
ejpam-4930	209	13	narrower	narrow	ADJ
ejpam-4930	209	14	if	if	SCONJ
ejpam-4930	209	15	the	the	DET
ejpam-4930	209	16	damping	damp	VERB
ejpam-4930	209	17	factor	factor	NOUN
ejpam-4930	209	18	µ	µ	NOUN
ejpam-4930	209	19	is	be	AUX
ejpam-4930	209	20	increased	increase	VERB
ejpam-4930	209	21	which	which	PRON
ejpam-4930	209	22	gives	give	VERB
ejpam-4930	209	23	us	we	PRON
ejpam-4930	209	24	a	a	DET
ejpam-4930	209	25	hint	hint	NOUN
ejpam-4930	209	26	about	about	ADP
ejpam-4930	209	27	improving	improve	VERB
ejpam-4930	209	28	the	the	DET
ejpam-4930	209	29	damping	damp	VERB
ejpam-4930	209	30	performance	performance	NOUN
ejpam-4930	209	31	of	of	ADP
ejpam-4930	209	32	this	this	DET
ejpam-4930	209	33	system	system	NOUN
ejpam-4930	209	34	to	to	PART
ejpam-4930	209	35	get	get	VERB
ejpam-4930	209	36	a	a	DET
ejpam-4930	209	37	better	well	ADJ
ejpam-4930	209	38	car	car	NOUN
ejpam-4930	209	39	’s	’s	PART
ejpam-4930	209	40	operation	operation	NOUN
ejpam-4930	209	41	.	.	PUNCT
ejpam-4930	210	1	figures	figure	NOUN
ejpam-4930	210	2	7	7	NUM
ejpam-4930	210	3	and	and	CCONJ
ejpam-4930	210	4	8	8	NUM
ejpam-4930	210	5	assure	assure	VERB
ejpam-4930	210	6	the	the	DET
ejpam-4930	210	7	discussion	discussion	NOUN
ejpam-4930	210	8	done	do	VERB
ejpam-4930	210	9	in	in	ADP
ejpam-4930	210	10	fig	fig	NOUN
ejpam-4930	210	11	.	.	PUNCT
ejpam-4930	211	1	4	4	NUM
ejpam-4930	211	2	where	where	SCONJ
ejpam-4930	211	3	the	the	DET
ejpam-4930	211	4	positive	positive	ADJ
ejpam-4930	211	5	(	(	PUNCT
ejpam-4930	211	6	negative	negative	ADJ
ejpam-4930	211	7	)	)	PUNCT
ejpam-4930	211	8	values	value	NOUN
ejpam-4930	211	9	of	of	ADP
ejpam-4930	211	10	α	α	PRON
ejpam-4930	211	11	makes	make	VERB
ejpam-4930	211	12	the	the	DET
ejpam-4930	211	13	car	car	NOUN
ejpam-4930	211	14	’s	’s	PART
ejpam-4930	211	15	amplitude	amplitude	NOUN
ejpam-4930	211	16	curve	curve	NOUN
ejpam-4930	211	17	bend	bend	VERB
ejpam-4930	211	18	to	to	ADP
ejpam-4930	211	19	the	the	DET
ejpam-4930	211	20	right	right	NOUN
ejpam-4930	211	21	(	(	PUNCT
ejpam-4930	211	22	left	left	ADJ
ejpam-4930	211	23	)	)	PUNCT
ejpam-4930	211	24	only	only	ADV
ejpam-4930	211	25	with	with	ADP
ejpam-4930	211	26	positive	positive	ADJ
ejpam-4930	211	27	(	(	PUNCT
ejpam-4930	211	28	negative	negative	ADJ
ejpam-4930	211	29	)	)	PUNCT
ejpam-4930	211	30	values	value	NOUN
ejpam-4930	211	31	of	of	ADP
ejpam-4930	211	32	σ	σ	PROPN
ejpam-4930	211	33	.	.	PUNCT
ejpam-4930	211	34	a.	a.	PROPN
ejpam-4930	211	35	kandil	kandil	PROPN
ejpam-4930	211	36	,	,	PUNCT
ejpam-4930	211	37	y.	y.	PROPN
ejpam-4930	211	38	s.	s.	PROPN
ejpam-4930	211	39	hamed	hamed	PROPN
ejpam-4930	211	40	/	/	SYM
ejpam-4930	211	41	eur	eur	PROPN
ejpam-4930	211	42	.	.	PUNCT
ejpam-4930	212	1	j.	j.	PROPN
ejpam-4930	212	2	pure	pure	PROPN
ejpam-4930	212	3	appl	appl	PROPN
ejpam-4930	212	4	.	.	PROPN
ejpam-4930	212	5	math	math	PROPN
ejpam-4930	212	6	,	,	PUNCT
ejpam-4930	212	7	16	16	NUM
ejpam-4930	212	8	(	(	PUNCT
ejpam-4930	212	9	4	4	NUM
ejpam-4930	212	10	)	)	PUNCT
ejpam-4930	212	11	(	(	PUNCT
ejpam-4930	212	12	2023	2023	NUM
ejpam-4930	212	13	)	)	PUNCT
ejpam-4930	212	14	,	,	PUNCT
ejpam-4930	212	15	2729	2729	NUM
ejpam-4930	212	16	-	-	SYM
ejpam-4930	212	17	2750	2750	NUM
ejpam-4930	212	18	2737	2737	NUM
ejpam-4930	212	19	figure	figure	NOUN
ejpam-4930	212	20	2	2	NUM
ejpam-4930	212	21	:	:	PUNCT
ejpam-4930	212	22	response	response	NOUN
ejpam-4930	212	23	of	of	ADP
ejpam-4930	212	24	the	the	DET
ejpam-4930	212	25	car	car	NOUN
ejpam-4930	212	26	’s	’s	PART
ejpam-4930	212	27	motion	motion	NOUN
ejpam-4930	212	28	amplitude	amplitude	NOUN
ejpam-4930	212	29	a	a	PRON
ejpam-4930	212	30	to	to	ADP
ejpam-4930	212	31	the	the	DET
ejpam-4930	212	32	frequency	frequency	NOUN
ejpam-4930	212	33	detuning	detuning	NOUN
ejpam-4930	212	34	σ	σ	PROPN
ejpam-4930	212	35	and	and	CCONJ
ejpam-4930	212	36	the	the	DET
ejpam-4930	212	37	force	force	NOUN
ejpam-4930	212	38	amplitude	amplitude	NOUN
ejpam-4930	212	39	f	f	PROPN
ejpam-4930	212	40	in	in	ADP
ejpam-4930	212	41	case	case	NOUN
ejpam-4930	212	42	that	that	SCONJ
ejpam-4930	212	43	irc	irc	ADV
ejpam-4930	212	44	is	be	AUX
ejpam-4930	212	45	off	off	ADV
ejpam-4930	212	46	(	(	PUNCT
ejpam-4930	212	47	k	k	NOUN
ejpam-4930	212	48	=	=	SYM
ejpam-4930	212	49	0	0	NUM
ejpam-4930	212	50	):	):	PUNCT
ejpam-4930	212	51	(	(	PUNCT
ejpam-4930	212	52	left	leave	VERB
ejpam-4930	212	53	)	)	PUNCT
ejpam-4930	212	54	a	a	PRON
ejpam-4930	212	55	versus	versus	ADP
ejpam-4930	212	56	σ	σ	NOUN
ejpam-4930	212	57	at	at	ADP
ejpam-4930	212	58	different	different	ADJ
ejpam-4930	212	59	f	f	NOUN
ejpam-4930	212	60	,	,	PUNCT
ejpam-4930	212	61	(	(	PUNCT
ejpam-4930	212	62	right	right	INTJ
ejpam-4930	212	63	)	)	PUNCT
ejpam-4930	212	64	a	a	PRON
ejpam-4930	212	65	versus	versus	ADP
ejpam-4930	212	66	σ	σ	PROPN
ejpam-4930	212	67	and	and	CCONJ
ejpam-4930	212	68	f	f	PROPN
ejpam-4930	212	69	figure	figure	NOUN
ejpam-4930	212	70	3	3	NUM
ejpam-4930	212	71	:	:	PUNCT
ejpam-4930	212	72	response	response	NOUN
ejpam-4930	212	73	of	of	ADP
ejpam-4930	212	74	the	the	DET
ejpam-4930	212	75	car	car	NOUN
ejpam-4930	212	76	’s	’s	PART
ejpam-4930	212	77	motion	motion	NOUN
ejpam-4930	212	78	amplitude	amplitude	NOUN
ejpam-4930	212	79	a	a	PRON
ejpam-4930	212	80	to	to	ADP
ejpam-4930	212	81	the	the	DET
ejpam-4930	212	82	frequency	frequency	NOUN
ejpam-4930	212	83	detuning	detuning	NOUN
ejpam-4930	212	84	σ	σ	PROPN
ejpam-4930	212	85	and	and	CCONJ
ejpam-4930	212	86	the	the	DET
ejpam-4930	212	87	damping	damp	VERB
ejpam-4930	212	88	factor	factor	NOUN
ejpam-4930	212	89	µ	µ	X
ejpam-4930	212	90	in	in	ADP
ejpam-4930	212	91	case	case	NOUN
ejpam-4930	212	92	that	that	SCONJ
ejpam-4930	212	93	irc	irc	ADV
ejpam-4930	212	94	is	be	AUX
ejpam-4930	212	95	off	off	ADV
ejpam-4930	212	96	(	(	PUNCT
ejpam-4930	212	97	k	k	NOUN
ejpam-4930	212	98	=	=	SYM
ejpam-4930	212	99	0	0	NUM
ejpam-4930	212	100	):	):	PUNCT
ejpam-4930	212	101	(	(	PUNCT
ejpam-4930	212	102	left	leave	VERB
ejpam-4930	212	103	)	)	PUNCT
ejpam-4930	212	104	a	a	PRON
ejpam-4930	212	105	versus	versus	ADP
ejpam-4930	212	106	σ	σ	NOUN
ejpam-4930	212	107	at	at	ADP
ejpam-4930	212	108	different	different	ADJ
ejpam-4930	212	109	µ	µ	NOUN
ejpam-4930	212	110	,	,	PUNCT
ejpam-4930	212	111	(	(	PUNCT
ejpam-4930	212	112	right	right	INTJ
ejpam-4930	212	113	)	)	PUNCT
ejpam-4930	212	114	a	a	PRON
ejpam-4930	212	115	versus	versus	ADP
ejpam-4930	212	116	σ	σ	PROPN
ejpam-4930	212	117	and	and	CCONJ
ejpam-4930	212	118	µ	µ	PRON
ejpam-4930	212	119	a.	a.	NOUN
ejpam-4930	212	120	kandil	kandil	PROPN
ejpam-4930	212	121	,	,	PUNCT
ejpam-4930	212	122	y.	y.	PROPN
ejpam-4930	212	123	s.	s.	PROPN
ejpam-4930	212	124	hamed	hamed	PROPN
ejpam-4930	212	125	/	/	SYM
ejpam-4930	212	126	eur	eur	PROPN
ejpam-4930	212	127	.	.	PUNCT
ejpam-4930	213	1	j.	j.	PROPN
ejpam-4930	213	2	pure	pure	PROPN
ejpam-4930	213	3	appl	appl	PROPN
ejpam-4930	213	4	.	.	PROPN
ejpam-4930	213	5	math	math	PROPN
ejpam-4930	213	6	,	,	PUNCT
ejpam-4930	213	7	16	16	NUM
ejpam-4930	213	8	(	(	PUNCT
ejpam-4930	213	9	4	4	NUM
ejpam-4930	213	10	)	)	PUNCT
ejpam-4930	213	11	(	(	PUNCT
ejpam-4930	213	12	2023	2023	NUM
ejpam-4930	213	13	)	)	PUNCT
ejpam-4930	213	14	,	,	PUNCT
ejpam-4930	213	15	2729	2729	NUM
ejpam-4930	213	16	-	-	SYM
ejpam-4930	213	17	2750	2750	NUM
ejpam-4930	213	18	2738	2738	NUM
ejpam-4930	213	19	figure	figure	NOUN
ejpam-4930	213	20	4	4	NUM
ejpam-4930	213	21	:	:	PUNCT
ejpam-4930	213	22	response	response	NOUN
ejpam-4930	213	23	of	of	ADP
ejpam-4930	213	24	the	the	DET
ejpam-4930	213	25	car	car	NOUN
ejpam-4930	213	26	’s	’s	PART
ejpam-4930	213	27	motion	motion	NOUN
ejpam-4930	213	28	amplitude	amplitude	NOUN
ejpam-4930	213	29	a	a	PRON
ejpam-4930	213	30	to	to	ADP
ejpam-4930	213	31	the	the	DET
ejpam-4930	213	32	frequency	frequency	NOUN
ejpam-4930	213	33	detuning	detuning	NOUN
ejpam-4930	213	34	σ	σ	PROPN
ejpam-4930	213	35	and	and	CCONJ
ejpam-4930	213	36	the	the	DET
ejpam-4930	213	37	nonlinearity	nonlinearity	NOUN
ejpam-4930	213	38	factor	factor	NOUN
ejpam-4930	213	39	α	α	NOUN
ejpam-4930	213	40	in	in	ADP
ejpam-4930	213	41	case	case	NOUN
ejpam-4930	213	42	that	that	SCONJ
ejpam-4930	213	43	irc	irc	ADV
ejpam-4930	213	44	is	be	AUX
ejpam-4930	213	45	off	off	ADV
ejpam-4930	213	46	(	(	PUNCT
ejpam-4930	213	47	k	k	NOUN
ejpam-4930	213	48	=	=	SYM
ejpam-4930	213	49	0	0	NUM
ejpam-4930	213	50	):	):	PUNCT
ejpam-4930	213	51	(	(	PUNCT
ejpam-4930	213	52	left	leave	VERB
ejpam-4930	213	53	)	)	PUNCT
ejpam-4930	213	54	a	a	PRON
ejpam-4930	213	55	versus	versus	ADP
ejpam-4930	213	56	σ	σ	NOUN
ejpam-4930	213	57	at	at	ADP
ejpam-4930	213	58	different	different	ADJ
ejpam-4930	213	59	α	α	NOUN
ejpam-4930	213	60	,	,	PUNCT
ejpam-4930	213	61	(	(	PUNCT
ejpam-4930	213	62	right	right	INTJ
ejpam-4930	213	63	)	)	PUNCT
ejpam-4930	213	64	a	a	PRON
ejpam-4930	213	65	versus	versus	ADP
ejpam-4930	213	66	σ	σ	PROPN
ejpam-4930	213	67	and	and	CCONJ
ejpam-4930	213	68	α	α	PRON
ejpam-4930	213	69	figure	figure	NOUN
ejpam-4930	213	70	5	5	NUM
ejpam-4930	213	71	:	:	PUNCT
ejpam-4930	213	72	response	response	NOUN
ejpam-4930	213	73	of	of	ADP
ejpam-4930	213	74	the	the	DET
ejpam-4930	213	75	car	car	NOUN
ejpam-4930	213	76	’s	’s	PART
ejpam-4930	213	77	motion	motion	NOUN
ejpam-4930	213	78	amplitude	amplitude	NOUN
ejpam-4930	213	79	a	a	PRON
ejpam-4930	213	80	to	to	ADP
ejpam-4930	213	81	the	the	DET
ejpam-4930	213	82	force	force	NOUN
ejpam-4930	213	83	amplitude	amplitude	NOUN
ejpam-4930	213	84	f	f	PROPN
ejpam-4930	213	85	and	and	CCONJ
ejpam-4930	213	86	the	the	DET
ejpam-4930	213	87	frequency	frequency	NOUN
ejpam-4930	213	88	detuning	detuning	NOUN
ejpam-4930	213	89	σ	σ	PROPN
ejpam-4930	213	90	in	in	ADP
ejpam-4930	213	91	case	case	NOUN
ejpam-4930	213	92	that	that	SCONJ
ejpam-4930	213	93	irc	irc	ADV
ejpam-4930	213	94	is	be	AUX
ejpam-4930	213	95	off	off	ADV
ejpam-4930	213	96	(	(	PUNCT
ejpam-4930	213	97	k	k	NOUN
ejpam-4930	213	98	=	=	SYM
ejpam-4930	213	99	0	0	NUM
ejpam-4930	213	100	):	):	PUNCT
ejpam-4930	213	101	(	(	PUNCT
ejpam-4930	213	102	left	leave	VERB
ejpam-4930	213	103	)	)	PUNCT
ejpam-4930	213	104	a	a	PRON
ejpam-4930	213	105	versus	versus	ADP
ejpam-4930	213	106	f	f	PROPN
ejpam-4930	213	107	at	at	ADP
ejpam-4930	213	108	different	different	PROPN
ejpam-4930	213	109	σ	σ	PROPN
ejpam-4930	213	110	,	,	PUNCT
ejpam-4930	213	111	(	(	PUNCT
ejpam-4930	213	112	right	right	INTJ
ejpam-4930	213	113	)	)	PUNCT
ejpam-4930	213	114	a	a	PRON
ejpam-4930	213	115	versus	versus	ADP
ejpam-4930	213	116	f	f	PROPN
ejpam-4930	213	117	and	and	CCONJ
ejpam-4930	213	118	σ	σ	PROPN
ejpam-4930	213	119	a.	a.	NOUN
ejpam-4930	213	120	kandil	kandil	PROPN
ejpam-4930	213	121	,	,	PUNCT
ejpam-4930	213	122	y.	y.	PROPN
ejpam-4930	213	123	s.	s.	PROPN
ejpam-4930	213	124	hamed	hamed	PROPN
ejpam-4930	213	125	/	/	SYM
ejpam-4930	213	126	eur	eur	PROPN
ejpam-4930	213	127	.	.	PUNCT
ejpam-4930	214	1	j.	j.	PROPN
ejpam-4930	214	2	pure	pure	PROPN
ejpam-4930	214	3	appl	appl	PROPN
ejpam-4930	214	4	.	.	PROPN
ejpam-4930	214	5	math	math	PROPN
ejpam-4930	214	6	,	,	PUNCT
ejpam-4930	214	7	16	16	NUM
ejpam-4930	214	8	(	(	PUNCT
ejpam-4930	214	9	4	4	NUM
ejpam-4930	214	10	)	)	PUNCT
ejpam-4930	214	11	(	(	PUNCT
ejpam-4930	214	12	2023	2023	NUM
ejpam-4930	214	13	)	)	PUNCT
ejpam-4930	214	14	,	,	PUNCT
ejpam-4930	214	15	2729	2729	NUM
ejpam-4930	214	16	-	-	SYM
ejpam-4930	214	17	2750	2750	NUM
ejpam-4930	214	18	2739	2739	NUM
ejpam-4930	214	19	figure	figure	NOUN
ejpam-4930	214	20	6	6	NUM
ejpam-4930	214	21	:	:	PUNCT
ejpam-4930	214	22	response	response	NOUN
ejpam-4930	214	23	of	of	ADP
ejpam-4930	214	24	the	the	DET
ejpam-4930	214	25	car	car	NOUN
ejpam-4930	214	26	’s	’s	PART
ejpam-4930	214	27	motion	motion	NOUN
ejpam-4930	214	28	amplitude	amplitude	NOUN
ejpam-4930	214	29	a	a	PRON
ejpam-4930	214	30	to	to	ADP
ejpam-4930	214	31	the	the	DET
ejpam-4930	214	32	force	force	NOUN
ejpam-4930	214	33	amplitude	amplitude	NOUN
ejpam-4930	214	34	f	f	PROPN
ejpam-4930	214	35	and	and	CCONJ
ejpam-4930	214	36	the	the	DET
ejpam-4930	214	37	damping	damp	VERB
ejpam-4930	214	38	factor	factor	NOUN
ejpam-4930	214	39	µ	µ	X
ejpam-4930	214	40	in	in	ADP
ejpam-4930	214	41	case	case	NOUN
ejpam-4930	214	42	that	that	SCONJ
ejpam-4930	214	43	irc	irc	ADV
ejpam-4930	214	44	is	be	AUX
ejpam-4930	214	45	off	off	ADV
ejpam-4930	214	46	(	(	PUNCT
ejpam-4930	214	47	k	k	NOUN
ejpam-4930	214	48	=	=	SYM
ejpam-4930	214	49	0	0	NUM
ejpam-4930	214	50	):	):	PUNCT
ejpam-4930	214	51	(	(	PUNCT
ejpam-4930	214	52	left	leave	VERB
ejpam-4930	214	53	)	)	PUNCT
ejpam-4930	214	54	a	a	PRON
ejpam-4930	214	55	versus	versus	ADP
ejpam-4930	214	56	f	f	PROPN
ejpam-4930	214	57	at	at	ADP
ejpam-4930	214	58	different	different	ADJ
ejpam-4930	214	59	µ	µ	NOUN
ejpam-4930	214	60	,	,	PUNCT
ejpam-4930	214	61	(	(	PUNCT
ejpam-4930	214	62	right	right	INTJ
ejpam-4930	214	63	)	)	PUNCT
ejpam-4930	214	64	a	a	PRON
ejpam-4930	214	65	versus	versus	ADP
ejpam-4930	214	66	f	f	PROPN
ejpam-4930	214	67	and	and	CCONJ
ejpam-4930	214	68	µ	µ	PRON
ejpam-4930	214	69	figure	figure	NOUN
ejpam-4930	214	70	7	7	NUM
ejpam-4930	214	71	:	:	PUNCT
ejpam-4930	214	72	response	response	NOUN
ejpam-4930	214	73	of	of	ADP
ejpam-4930	214	74	the	the	DET
ejpam-4930	214	75	car	car	NOUN
ejpam-4930	214	76	’s	’s	PART
ejpam-4930	214	77	motion	motion	NOUN
ejpam-4930	214	78	amplitude	amplitude	NOUN
ejpam-4930	214	79	a	a	PRON
ejpam-4930	214	80	to	to	ADP
ejpam-4930	214	81	the	the	DET
ejpam-4930	214	82	force	force	NOUN
ejpam-4930	214	83	amplitude	amplitude	NOUN
ejpam-4930	214	84	f	f	PROPN
ejpam-4930	214	85	and	and	CCONJ
ejpam-4930	214	86	the	the	DET
ejpam-4930	214	87	nonlinearity	nonlinearity	NOUN
ejpam-4930	214	88	factor	factor	NOUN
ejpam-4930	214	89	α	α	NOUN
ejpam-4930	214	90	in	in	ADP
ejpam-4930	214	91	case	case	NOUN
ejpam-4930	214	92	that	that	SCONJ
ejpam-4930	214	93	irc	irc	ADV
ejpam-4930	214	94	is	be	AUX
ejpam-4930	214	95	off	off	ADV
ejpam-4930	214	96	(	(	PUNCT
ejpam-4930	214	97	k	k	NOUN
ejpam-4930	214	98	=	=	SYM
ejpam-4930	214	99	0	0	NUM
ejpam-4930	214	100	and	and	CCONJ
ejpam-4930	214	101	σ	σ	NUM
ejpam-4930	214	102	=	=	NOUN
ejpam-4930	214	103	0.05	0.05	NUM
ejpam-4930	214	104	):	):	PUNCT
ejpam-4930	214	105	(	(	PUNCT
ejpam-4930	214	106	left	leave	VERB
ejpam-4930	214	107	)	)	PUNCT
ejpam-4930	214	108	a	a	PRON
ejpam-4930	214	109	versus	versus	ADP
ejpam-4930	214	110	f	f	PROPN
ejpam-4930	214	111	at	at	ADP
ejpam-4930	214	112	different	different	ADJ
ejpam-4930	214	113	α	α	NOUN
ejpam-4930	214	114	,	,	PUNCT
ejpam-4930	214	115	(	(	PUNCT
ejpam-4930	214	116	right	right	INTJ
ejpam-4930	214	117	)	)	PUNCT
ejpam-4930	214	118	a	a	PRON
ejpam-4930	214	119	versus	versus	ADP
ejpam-4930	214	120	f	f	PROPN
ejpam-4930	214	121	and	and	CCONJ
ejpam-4930	214	122	α	α	NOUN
ejpam-4930	214	123	a.	a.	NOUN
ejpam-4930	214	124	kandil	kandil	PROPN
ejpam-4930	214	125	,	,	PUNCT
ejpam-4930	214	126	y.	y.	PROPN
ejpam-4930	214	127	s.	s.	PROPN
ejpam-4930	214	128	hamed	hamed	PROPN
ejpam-4930	214	129	/	/	SYM
ejpam-4930	214	130	eur	eur	PROPN
ejpam-4930	214	131	.	.	PUNCT
ejpam-4930	215	1	j.	j.	PROPN
ejpam-4930	215	2	pure	pure	PROPN
ejpam-4930	215	3	appl	appl	PROPN
ejpam-4930	215	4	.	.	PROPN
ejpam-4930	215	5	math	math	PROPN
ejpam-4930	215	6	,	,	PUNCT
ejpam-4930	215	7	16	16	NUM
ejpam-4930	215	8	(	(	PUNCT
ejpam-4930	215	9	4	4	NUM
ejpam-4930	215	10	)	)	PUNCT
ejpam-4930	215	11	(	(	PUNCT
ejpam-4930	215	12	2023	2023	NUM
ejpam-4930	215	13	)	)	PUNCT
ejpam-4930	215	14	,	,	PUNCT
ejpam-4930	215	15	2729	2729	NUM
ejpam-4930	215	16	-	-	SYM
ejpam-4930	215	17	2750	2750	NUM
ejpam-4930	215	18	2740	2740	NUM
ejpam-4930	215	19	figure	figure	NOUN
ejpam-4930	215	20	8	8	NUM
ejpam-4930	215	21	:	:	PUNCT
ejpam-4930	215	22	response	response	NOUN
ejpam-4930	215	23	of	of	ADP
ejpam-4930	215	24	the	the	DET
ejpam-4930	215	25	car	car	NOUN
ejpam-4930	215	26	’s	’s	PART
ejpam-4930	215	27	motion	motion	NOUN
ejpam-4930	215	28	amplitude	amplitude	NOUN
ejpam-4930	215	29	a	a	PRON
ejpam-4930	215	30	to	to	ADP
ejpam-4930	215	31	the	the	DET
ejpam-4930	215	32	force	force	NOUN
ejpam-4930	215	33	amplitude	amplitude	NOUN
ejpam-4930	215	34	f	f	PROPN
ejpam-4930	215	35	and	and	CCONJ
ejpam-4930	215	36	the	the	DET
ejpam-4930	215	37	nonlinearity	nonlinearity	NOUN
ejpam-4930	215	38	factor	factor	NOUN
ejpam-4930	215	39	α	α	NOUN
ejpam-4930	215	40	in	in	ADP
ejpam-4930	215	41	case	case	NOUN
ejpam-4930	215	42	that	that	SCONJ
ejpam-4930	215	43	irc	irc	ADV
ejpam-4930	215	44	is	be	AUX
ejpam-4930	215	45	off	off	ADV
ejpam-4930	215	46	(	(	PUNCT
ejpam-4930	215	47	k	k	NOUN
ejpam-4930	215	48	=	=	SYM
ejpam-4930	215	49	0	0	NUM
ejpam-4930	215	50	and	and	CCONJ
ejpam-4930	215	51	σ	σ	NOUN
ejpam-4930	215	52	=	=	SYM
ejpam-4930	215	53	−0.05	−0.05	NOUN
ejpam-4930	215	54	):	):	PUNCT
ejpam-4930	215	55	(	(	PUNCT
ejpam-4930	215	56	left	leave	VERB
ejpam-4930	215	57	)	)	PUNCT
ejpam-4930	215	58	a	a	PRON
ejpam-4930	215	59	versus	versus	ADP
ejpam-4930	215	60	f	f	PROPN
ejpam-4930	215	61	at	at	ADP
ejpam-4930	215	62	different	different	ADJ
ejpam-4930	215	63	α	α	NOUN
ejpam-4930	215	64	,	,	PUNCT
ejpam-4930	215	65	(	(	PUNCT
ejpam-4930	215	66	right	right	INTJ
ejpam-4930	215	67	)	)	PUNCT
ejpam-4930	215	68	a	a	PRON
ejpam-4930	215	69	versus	versus	ADP
ejpam-4930	215	70	f	f	PROPN
ejpam-4930	215	71	and	and	CCONJ
ejpam-4930	215	72	α	α	PROPN
ejpam-4930	215	73	after	after	ADP
ejpam-4930	215	74	the	the	DET
ejpam-4930	215	75	application	application	NOUN
ejpam-4930	215	76	of	of	ADP
ejpam-4930	215	77	the	the	DET
ejpam-4930	215	78	irc	irc	PROPN
ejpam-4930	215	79	,	,	PUNCT
ejpam-4930	215	80	the	the	DET
ejpam-4930	215	81	car	car	NOUN
ejpam-4930	215	82	’s	’s	PART
ejpam-4930	215	83	amplitude	amplitude	NOUN
ejpam-4930	215	84	responses	response	NOUN
ejpam-4930	215	85	will	will	AUX
ejpam-4930	215	86	be	be	AUX
ejpam-4930	215	87	tracked	track	VERB
ejpam-4930	215	88	in	in	ADP
ejpam-4930	215	89	terms	term	NOUN
ejpam-4930	215	90	of	of	ADP
ejpam-4930	215	91	the	the	DET
ejpam-4930	215	92	effect	effect	NOUN
ejpam-4930	215	93	of	of	ADP
ejpam-4930	215	94	the	the	DET
ejpam-4930	215	95	controller	controller	NOUN
ejpam-4930	215	96	’s	’s	PART
ejpam-4930	215	97	parameters	parameter	NOUN
ejpam-4930	215	98	.	.	PUNCT
ejpam-4930	216	1	we	we	PRON
ejpam-4930	216	2	have	have	AUX
ejpam-4930	216	3	known	know	VERB
ejpam-4930	216	4	that	that	SCONJ
ejpam-4930	216	5	the	the	DET
ejpam-4930	216	6	control	control	NOUN
ejpam-4930	216	7	damping	damp	VERB
ejpam-4930	216	8	factor	factor	NOUN
ejpam-4930	216	9	is	be	AUX
ejpam-4930	216	10	µc	µc	ADP
ejpam-4930	216	11	=	=	PUNCT
ejpam-4930	216	12	kkc/(ω	kkc/(ω	PROPN
ejpam-4930	216	13	2	2	NUM
ejpam-4930	216	14	c	c	NOUN
ejpam-4930	216	15	+	+	PUNCT
ejpam-4930	216	16	ω2	ω2	ADJ
ejpam-4930	216	17	)	)	PUNCT
ejpam-4930	216	18	where	where	SCONJ
ejpam-4930	216	19	it	it	PRON
ejpam-4930	216	20	can	can	AUX
ejpam-4930	216	21	be	be	AUX
ejpam-4930	216	22	maximized	maximize	VERB
ejpam-4930	216	23	either	either	CCONJ
ejpam-4930	216	24	by	by	ADP
ejpam-4930	216	25	increasing	increase	VERB
ejpam-4930	216	26	the	the	DET
ejpam-4930	216	27	gain	gain	NOUN
ejpam-4930	216	28	product	product	NOUN
ejpam-4930	216	29	kkc	kkc	VERB
ejpam-4930	216	30	to	to	ADP
ejpam-4930	216	31	infinity	infinity	NOUN
ejpam-4930	216	32	which	which	PRON
ejpam-4930	216	33	is	be	AUX
ejpam-4930	216	34	practically	practically	ADV
ejpam-4930	216	35	impossible	impossible	ADJ
ejpam-4930	216	36	,	,	PUNCT
ejpam-4930	216	37	or	or	CCONJ
ejpam-4930	216	38	by	by	ADP
ejpam-4930	216	39	adjusting	adjust	VERB
ejpam-4930	216	40	the	the	DET
ejpam-4930	216	41	control	control	NOUN
ejpam-4930	216	42	rate	rate	NOUN
ejpam-4930	216	43	ωc	ωc	X
ejpam-4930	216	44	to	to	PART
ejpam-4930	216	45	be	be	AUX
ejpam-4930	216	46	zero	zero	NUM
ejpam-4930	216	47	.	.	PUNCT
ejpam-4930	217	1	the	the	DET
ejpam-4930	217	2	last	last	ADJ
ejpam-4930	217	3	conclusion	conclusion	NOUN
ejpam-4930	217	4	was	be	AUX
ejpam-4930	217	5	based	base	VERB
ejpam-4930	217	6	upon	upon	SCONJ
ejpam-4930	217	7	applying	apply	VERB
ejpam-4930	217	8	the	the	DET
ejpam-4930	217	9	second	second	ADJ
ejpam-4930	217	10	partial	partial	ADJ
ejpam-4930	217	11	derivative	derivative	ADJ
ejpam-4930	217	12	test	test	NOUN
ejpam-4930	217	13	on	on	ADP
ejpam-4930	217	14	the	the	DET
ejpam-4930	217	15	quantity	quantity	NOUN
ejpam-4930	217	16	µc	µc	PROPN
ejpam-4930	217	17	.	.	PROPN
ejpam-4930	217	18	accordingly	accordingly	ADV
ejpam-4930	217	19	,	,	PUNCT
ejpam-4930	217	20	fig	fig	NOUN
ejpam-4930	217	21	.	.	PUNCT
ejpam-4930	218	1	9	9	NUM
ejpam-4930	218	2	shows	show	VERB
ejpam-4930	218	3	the	the	DET
ejpam-4930	218	4	relation	relation	NOUN
ejpam-4930	218	5	of	of	ADP
ejpam-4930	218	6	the	the	DET
ejpam-4930	218	7	control	control	NOUN
ejpam-4930	218	8	damping	damp	VERB
ejpam-4930	218	9	factor	factor	NOUN
ejpam-4930	218	10	µc	µc	INTJ
ejpam-4930	218	11	versus	versus	SCONJ
ejpam-4930	218	12	the	the	DET
ejpam-4930	218	13	gain	gain	NOUN
ejpam-4930	218	14	product	product	NOUN
ejpam-4930	218	15	kkc	kkc	VERB
ejpam-4930	218	16	and	and	CCONJ
ejpam-4930	218	17	the	the	DET
ejpam-4930	218	18	control	control	NOUN
ejpam-4930	218	19	rate	rate	NOUN
ejpam-4930	218	20	ωc	ωc	PROPN
ejpam-4930	218	21	.	.	PUNCT
ejpam-4930	219	1	it	it	PRON
ejpam-4930	219	2	is	be	AUX
ejpam-4930	219	3	clear	clear	ADJ
ejpam-4930	219	4	in	in	ADP
ejpam-4930	219	5	fig	fig	NOUN
ejpam-4930	219	6	.	.	PUNCT
ejpam-4930	220	1	9a	9a	NOUN
ejpam-4930	220	2	that	that	SCONJ
ejpam-4930	220	3	the	the	DET
ejpam-4930	220	4	damping	damp	VERB
ejpam-4930	220	5	rate	rate	NOUN
ejpam-4930	220	6	is	be	AUX
ejpam-4930	220	7	at	at	ADP
ejpam-4930	220	8	its	its	PRON
ejpam-4930	220	9	maximum	maximum	ADJ
ejpam-4930	220	10	level	level	NOUN
ejpam-4930	220	11	only	only	ADV
ejpam-4930	220	12	when	when	SCONJ
ejpam-4930	220	13	ωc	ωc	PROPN
ejpam-4930	220	14	=	=	SYM
ejpam-4930	220	15	0	0	PUNCT
ejpam-4930	220	16	as	as	SCONJ
ejpam-4930	220	17	proved	prove	VERB
ejpam-4930	220	18	by	by	ADP
ejpam-4930	220	19	the	the	DET
ejpam-4930	220	20	second	second	ADJ
ejpam-4930	220	21	partial	partial	ADJ
ejpam-4930	220	22	derivative	derivative	ADJ
ejpam-4930	220	23	test	test	NOUN
ejpam-4930	220	24	.	.	PUNCT
ejpam-4930	221	1	moreover	moreover	ADV
ejpam-4930	221	2	,	,	PUNCT
ejpam-4930	221	3	the	the	DET
ejpam-4930	221	4	damping	damp	VERB
ejpam-4930	221	5	rate	rate	NOUN
ejpam-4930	221	6	decreases	decrease	NOUN
ejpam-4930	221	7	by	by	ADP
ejpam-4930	221	8	increasing	increase	VERB
ejpam-4930	221	9	ωc	ωc	ADP
ejpam-4930	221	10	positively	positively	ADV
ejpam-4930	221	11	or	or	CCONJ
ejpam-4930	221	12	negatively	negatively	ADV
ejpam-4930	221	13	as	as	SCONJ
ejpam-4930	221	14	shown	show	VERB
ejpam-4930	221	15	.	.	PUNCT
ejpam-4930	222	1	figure	figure	NOUN
ejpam-4930	222	2	9b	9b	NOUN
ejpam-4930	222	3	assures	assure	VERB
ejpam-4930	222	4	that	that	SCONJ
ejpam-4930	222	5	the	the	DET
ejpam-4930	222	6	maximum	maximum	ADJ
ejpam-4930	222	7	damping	damp	VERB
ejpam-4930	222	8	rate	rate	NOUN
ejpam-4930	222	9	occurs	occur	VERB
ejpam-4930	222	10	when	when	SCONJ
ejpam-4930	222	11	ωc	ωc	PROPN
ejpam-4930	222	12	=	=	SYM
ejpam-4930	222	13	0	0	NUM
ejpam-4930	222	14	besides	besides	SCONJ
ejpam-4930	222	15	raising	raise	VERB
ejpam-4930	222	16	the	the	DET
ejpam-4930	222	17	product	product	NOUN
ejpam-4930	222	18	kkc	kkc	VERB
ejpam-4930	222	19	to	to	ADP
ejpam-4930	222	20	1.0	1.0	NUM
ejpam-4930	222	21	is	be	AUX
ejpam-4930	222	22	an	an	DET
ejpam-4930	222	23	acceptable	acceptable	ADJ
ejpam-4930	222	24	value	value	NOUN
ejpam-4930	222	25	for	for	ADP
ejpam-4930	222	26	guaranteeing	guarantee	VERB
ejpam-4930	222	27	a	a	DET
ejpam-4930	222	28	better	well	ADV
ejpam-4930	222	29	damping	damp	VERB
ejpam-4930	222	30	performance	performance	NOUN
ejpam-4930	222	31	.	.	PUNCT
ejpam-4930	223	1	figure	figure	NOUN
ejpam-4930	223	2	9c	9c	NOUN
ejpam-4930	223	3	combines	combine	VERB
ejpam-4930	223	4	the	the	DET
ejpam-4930	223	5	relation	relation	NOUN
ejpam-4930	223	6	of	of	ADP
ejpam-4930	223	7	µc	µc	ADP
ejpam-4930	223	8	,	,	PUNCT
ejpam-4930	223	9	ωc	ωc	ADP
ejpam-4930	223	10	,	,	PUNCT
ejpam-4930	223	11	and	and	CCONJ
ejpam-4930	223	12	kkc	kkc	VERB
ejpam-4930	223	13	into	into	ADP
ejpam-4930	223	14	a	a	DET
ejpam-4930	223	15	3d	3d	NUM
ejpam-4930	223	16	surface	surface	NOUN
ejpam-4930	223	17	as	as	SCONJ
ejpam-4930	223	18	shown	show	VERB
ejpam-4930	223	19	in	in	ADP
ejpam-4930	223	20	order	order	NOUN
ejpam-4930	223	21	to	to	PART
ejpam-4930	223	22	clarify	clarify	VERB
ejpam-4930	223	23	the	the	DET
ejpam-4930	223	24	visualization	visualization	NOUN
ejpam-4930	223	25	between	between	ADP
ejpam-4930	223	26	the	the	DET
ejpam-4930	223	27	three	three	NUM
ejpam-4930	223	28	parameters	parameter	NOUN
ejpam-4930	223	29	.	.	PUNCT
ejpam-4930	224	1	on	on	ADP
ejpam-4930	224	2	the	the	DET
ejpam-4930	224	3	other	other	ADJ
ejpam-4930	224	4	hand	hand	NOUN
ejpam-4930	224	5	,	,	PUNCT
ejpam-4930	224	6	we	we	PRON
ejpam-4930	224	7	have	have	VERB
ejpam-4930	224	8	that	that	SCONJ
ejpam-4930	224	9	the	the	DET
ejpam-4930	224	10	control	control	NOUN
ejpam-4930	224	11	detuning	detuning	NOUN
ejpam-4930	224	12	factor	factor	NOUN
ejpam-4930	224	13	is	be	AUX
ejpam-4930	224	14	σc	σc	PROPN
ejpam-4930	224	15	=	=	PUNCT
ejpam-4930	224	16	kkcωc/2ω(ω	kkcωc/2ω(ω	PROPN
ejpam-4930	224	17	2	2	NUM
ejpam-4930	224	18	c	c	NOUN
ejpam-4930	224	19	+	+	X
ejpam-4930	224	20	ω2	ω2	ADJ
ejpam-4930	224	21	)	)	PUNCT
ejpam-4930	224	22	.	.	PUNCT
ejpam-4930	225	1	the	the	DET
ejpam-4930	225	2	second	second	ADJ
ejpam-4930	225	3	partial	partial	ADJ
ejpam-4930	225	4	derivative	derivative	ADJ
ejpam-4930	225	5	test	test	NOUN
ejpam-4930	225	6	can	can	AUX
ejpam-4930	225	7	be	be	AUX
ejpam-4930	225	8	applied	apply	VERB
ejpam-4930	225	9	again	again	ADV
ejpam-4930	225	10	to	to	PART
ejpam-4930	225	11	conclude	conclude	VERB
ejpam-4930	225	12	that	that	SCONJ
ejpam-4930	225	13	the	the	DET
ejpam-4930	225	14	factor	factor	NOUN
ejpam-4930	225	15	σc	σc	PROPN
ejpam-4930	225	16	can	can	AUX
ejpam-4930	225	17	be	be	AUX
ejpam-4930	225	18	maximum	maximum	ADJ
ejpam-4930	225	19	at	at	ADP
ejpam-4930	225	20	ωc	ωc	PROPN
ejpam-4930	225	21	=	=	SYM
ejpam-4930	225	22	±ω	±ω	PROPN
ejpam-4930	225	23	or	or	CCONJ
ejpam-4930	225	24	it	it	PRON
ejpam-4930	225	25	can	can	AUX
ejpam-4930	225	26	be	be	AUX
ejpam-4930	225	27	minimum	minimum	ADJ
ejpam-4930	225	28	at	at	ADP
ejpam-4930	225	29	ωc	ωc	PROPN
ejpam-4930	225	30	=	=	SYM
ejpam-4930	225	31	0	0	PROPN
ejpam-4930	225	32	.	.	PUNCT
ejpam-4930	226	1	hence	hence	ADV
ejpam-4930	226	2	,	,	PUNCT
ejpam-4930	226	3	the	the	DET
ejpam-4930	226	4	two	two	NUM
ejpam-4930	226	5	quantities	quantity	NOUN
ejpam-4930	226	6	µc	µc	VERB
ejpam-4930	226	7	and	and	CCONJ
ejpam-4930	226	8	σc	σc	PROPN
ejpam-4930	226	9	can	can	AUX
ejpam-4930	226	10	have	have	VERB
ejpam-4930	226	11	their	their	PRON
ejpam-4930	226	12	extreme	extreme	ADJ
ejpam-4930	226	13	values	value	NOUN
ejpam-4930	226	14	(	(	PUNCT
ejpam-4930	226	15	maximum	maximum	ADJ
ejpam-4930	226	16	and	and	CCONJ
ejpam-4930	226	17	minimum	minimum	ADJ
ejpam-4930	226	18	,	,	PUNCT
ejpam-4930	226	19	respectively	respectively	ADV
ejpam-4930	226	20	)	)	PUNCT
ejpam-4930	226	21	by	by	ADP
ejpam-4930	226	22	adopting	adopt	VERB
ejpam-4930	226	23	the	the	DET
ejpam-4930	226	24	case	case	NOUN
ejpam-4930	226	25	ωc	ωc	ADP
ejpam-4930	226	26	=	=	SYM
ejpam-4930	226	27	0	0	NUM
ejpam-4930	226	28	where	where	SCONJ
ejpam-4930	226	29	the	the	DET
ejpam-4930	226	30	damping	damp	VERB
ejpam-4930	226	31	performance	performance	NOUN
ejpam-4930	226	32	is	be	AUX
ejpam-4930	226	33	at	at	ADP
ejpam-4930	226	34	its	its	PRON
ejpam-4930	226	35	optimum	optimum	ADJ
ejpam-4930	226	36	level	level	NOUN
ejpam-4930	226	37	.	.	PUNCT
ejpam-4930	227	1	accordingly	accordingly	ADV
ejpam-4930	227	2	,	,	PUNCT
ejpam-4930	227	3	fig	fig	NOUN
ejpam-4930	227	4	.	.	PUNCT
ejpam-4930	228	1	10	10	NUM
ejpam-4930	228	2	indicates	indicate	VERB
ejpam-4930	228	3	the	the	DET
ejpam-4930	228	4	relation	relation	NOUN
ejpam-4930	228	5	of	of	ADP
ejpam-4930	228	6	the	the	DET
ejpam-4930	228	7	control	control	NOUN
ejpam-4930	228	8	detuning	detuning	NOUN
ejpam-4930	228	9	factor	factor	NOUN
ejpam-4930	228	10	σc	σc	PROPN
ejpam-4930	228	11	versus	versus	ADP
ejpam-4930	228	12	the	the	DET
ejpam-4930	228	13	gain	gain	NOUN
ejpam-4930	228	14	product	product	NOUN
ejpam-4930	228	15	kkc	kkc	VERB
ejpam-4930	228	16	and	and	CCONJ
ejpam-4930	228	17	the	the	DET
ejpam-4930	228	18	control	control	NOUN
ejpam-4930	228	19	rate	rate	NOUN
ejpam-4930	228	20	ωc	ωc	PROPN
ejpam-4930	228	21	.	.	PUNCT
ejpam-4930	229	1	it	it	PRON
ejpam-4930	229	2	can	can	AUX
ejpam-4930	229	3	be	be	AUX
ejpam-4930	229	4	noticed	notice	VERB
ejpam-4930	229	5	that	that	SCONJ
ejpam-4930	229	6	σc	σc	PROPN
ejpam-4930	229	7	is	be	AUX
ejpam-4930	229	8	at	at	ADP
ejpam-4930	229	9	its	its	PRON
ejpam-4930	229	10	lowest	low	ADJ
ejpam-4930	229	11	state	state	NOUN
ejpam-4930	229	12	and	and	CCONJ
ejpam-4930	229	13	the	the	DET
ejpam-4930	229	14	damping	damp	VERB
ejpam-4930	229	15	rate	rate	NOUN
ejpam-4930	229	16	is	be	AUX
ejpam-4930	229	17	at	at	ADP
ejpam-4930	229	18	its	its	PRON
ejpam-4930	229	19	maximum	maximum	ADJ
ejpam-4930	229	20	level	level	NOUN
ejpam-4930	229	21	only	only	ADV
ejpam-4930	229	22	when	when	SCONJ
ejpam-4930	229	23	ωc	ωc	PROPN
ejpam-4930	229	24	=	=	SYM
ejpam-4930	229	25	0	0	PUNCT
ejpam-4930	229	26	as	as	SCONJ
ejpam-4930	229	27	proved	prove	VERB
ejpam-4930	229	28	by	by	ADP
ejpam-4930	229	29	the	the	DET
ejpam-4930	229	30	second	second	ADJ
ejpam-4930	229	31	partial	partial	ADJ
ejpam-4930	229	32	derivative	derivative	ADJ
ejpam-4930	229	33	test	test	NOUN
ejpam-4930	229	34	.	.	PUNCT
ejpam-4930	230	1	this	this	PRON
ejpam-4930	230	2	is	be	AUX
ejpam-4930	230	3	an	an	DET
ejpam-4930	230	4	assurance	assurance	NOUN
ejpam-4930	230	5	for	for	ADP
ejpam-4930	230	6	the	the	DET
ejpam-4930	230	7	agreement	agreement	NOUN
ejpam-4930	230	8	between	between	ADP
ejpam-4930	230	9	maximum	maximum	ADJ
ejpam-4930	230	10	µc	µc	ADP
ejpam-4930	230	11	and	and	CCONJ
ejpam-4930	230	12	minimum	minimum	NOUN
ejpam-4930	230	13	σc	σc	PROPN
ejpam-4930	230	14	only	only	ADV
ejpam-4930	230	15	when	when	SCONJ
ejpam-4930	230	16	ωc	ωc	PROPN
ejpam-4930	230	17	=	=	SYM
ejpam-4930	230	18	0	0	PROPN
ejpam-4930	230	19	theoretically	theoretically	ADV
ejpam-4930	230	20	.	.	PUNCT
ejpam-4930	231	1	a.	a.	NOUN
ejpam-4930	231	2	kandil	kandil	PROPN
ejpam-4930	231	3	,	,	PUNCT
ejpam-4930	231	4	y.	y.	PROPN
ejpam-4930	231	5	s.	s.	PROPN
ejpam-4930	231	6	hamed	hamed	PROPN
ejpam-4930	231	7	/	/	SYM
ejpam-4930	231	8	eur	eur	PROPN
ejpam-4930	231	9	.	.	PUNCT
ejpam-4930	232	1	j.	j.	PROPN
ejpam-4930	232	2	pure	pure	PROPN
ejpam-4930	232	3	appl	appl	PROPN
ejpam-4930	232	4	.	.	PROPN
ejpam-4930	232	5	math	math	PROPN
ejpam-4930	232	6	,	,	PUNCT
ejpam-4930	232	7	16	16	NUM
ejpam-4930	232	8	(	(	PUNCT
ejpam-4930	232	9	4	4	NUM
ejpam-4930	232	10	)	)	PUNCT
ejpam-4930	232	11	(	(	PUNCT
ejpam-4930	232	12	2023	2023	NUM
ejpam-4930	232	13	)	)	PUNCT
ejpam-4930	232	14	,	,	PUNCT
ejpam-4930	232	15	2729	2729	NUM
ejpam-4930	232	16	-	-	SYM
ejpam-4930	232	17	2750	2750	NUM
ejpam-4930	232	18	2741	2741	NUM
ejpam-4930	232	19	figure	figure	NOUN
ejpam-4930	232	20	9	9	NUM
ejpam-4930	232	21	:	:	PUNCT
ejpam-4930	232	22	relation	relation	NOUN
ejpam-4930	232	23	of	of	ADP
ejpam-4930	232	24	the	the	DET
ejpam-4930	232	25	control	control	NOUN
ejpam-4930	232	26	damping	damp	VERB
ejpam-4930	232	27	factor	factor	NOUN
ejpam-4930	232	28	µc	µc	INTJ
ejpam-4930	232	29	versus	versus	ADP
ejpam-4930	232	30	the	the	DET
ejpam-4930	232	31	gain	gain	NOUN
ejpam-4930	232	32	product	product	NOUN
ejpam-4930	232	33	kkc	kkc	VERB
ejpam-4930	232	34	and	and	CCONJ
ejpam-4930	232	35	the	the	DET
ejpam-4930	232	36	control	control	NOUN
ejpam-4930	232	37	rate	rate	NOUN
ejpam-4930	232	38	ωc	ωc	PROPN
ejpam-4930	232	39	:	:	PUNCT
ejpam-4930	232	40	(	(	PUNCT
ejpam-4930	232	41	left	left	ADJ
ejpam-4930	232	42	)	)	PUNCT
ejpam-4930	232	43	µc	µc	VERB
ejpam-4930	232	44	versus	versus	ADP
ejpam-4930	232	45	kkc	kkc	VERB
ejpam-4930	232	46	at	at	ADP
ejpam-4930	232	47	different	different	ADJ
ejpam-4930	232	48	ωc	ωc	NOUN
ejpam-4930	232	49	,	,	PUNCT
ejpam-4930	232	50	(	(	PUNCT
ejpam-4930	232	51	middle	middle	ADJ
ejpam-4930	232	52	)	)	PUNCT
ejpam-4930	232	53	µc	µc	INTJ
ejpam-4930	232	54	versus	versus	ADP
ejpam-4930	232	55	ωc	ωc	INTJ
ejpam-4930	232	56	at	at	ADP
ejpam-4930	232	57	different	different	ADJ
ejpam-4930	232	58	kkc	kkc	NOUN
ejpam-4930	232	59	,	,	PUNCT
ejpam-4930	232	60	(	(	PUNCT
ejpam-4930	232	61	right	right	ADJ
ejpam-4930	232	62	)	)	PUNCT
ejpam-4930	232	63	µc	µc	VERB
ejpam-4930	232	64	versus	versus	ADP
ejpam-4930	232	65	ωc	ωc	ADV
ejpam-4930	232	66	and	and	CCONJ
ejpam-4930	232	67	kkc	kkc	VERB
ejpam-4930	232	68	figure	figure	NOUN
ejpam-4930	232	69	10	10	NUM
ejpam-4930	232	70	:	:	PUNCT
ejpam-4930	232	71	relation	relation	NOUN
ejpam-4930	232	72	of	of	ADP
ejpam-4930	232	73	the	the	DET
ejpam-4930	232	74	control	control	NOUN
ejpam-4930	232	75	detuning	detuning	NOUN
ejpam-4930	232	76	factor	factor	NOUN
ejpam-4930	232	77	σc	σc	PROPN
ejpam-4930	232	78	versus	versus	ADP
ejpam-4930	232	79	the	the	DET
ejpam-4930	232	80	gain	gain	NOUN
ejpam-4930	232	81	product	product	NOUN
ejpam-4930	232	82	kkc	kkc	VERB
ejpam-4930	232	83	and	and	CCONJ
ejpam-4930	232	84	the	the	DET
ejpam-4930	232	85	control	control	NOUN
ejpam-4930	232	86	rate	rate	NOUN
ejpam-4930	232	87	ωc	ωc	PROPN
ejpam-4930	232	88	:	:	PUNCT
ejpam-4930	232	89	(	(	PUNCT
ejpam-4930	232	90	left	leave	VERB
ejpam-4930	232	91	)	)	PUNCT
ejpam-4930	232	92	σc	σc	PROPN
ejpam-4930	232	93	versus	versus	ADP
ejpam-4930	232	94	kkc	kkc	VERB
ejpam-4930	232	95	at	at	ADP
ejpam-4930	232	96	different	different	ADJ
ejpam-4930	232	97	ωc	ωc	NOUN
ejpam-4930	232	98	,	,	PUNCT
ejpam-4930	232	99	(	(	PUNCT
ejpam-4930	232	100	middle	middle	ADJ
ejpam-4930	232	101	)	)	PUNCT
ejpam-4930	232	102	σc	σc	PROPN
ejpam-4930	232	103	versus	versus	ADP
ejpam-4930	232	104	ωc	ωc	PROPN
ejpam-4930	232	105	at	at	ADP
ejpam-4930	232	106	different	different	ADJ
ejpam-4930	232	107	kkc	kkc	NOUN
ejpam-4930	232	108	,	,	PUNCT
ejpam-4930	232	109	(	(	PUNCT
ejpam-4930	232	110	right	right	ADJ
ejpam-4930	232	111	)	)	PUNCT
ejpam-4930	232	112	σc	σc	PROPN
ejpam-4930	232	113	versus	versus	ADP
ejpam-4930	232	114	ωc	ωc	PROPN
ejpam-4930	232	115	and	and	CCONJ
ejpam-4930	232	116	kkc	kkc	VERB
ejpam-4930	232	117	depending	depend	VERB
ejpam-4930	232	118	on	on	ADP
ejpam-4930	232	119	the	the	DET
ejpam-4930	232	120	theoretical	theoretical	ADJ
ejpam-4930	232	121	optimum	optimum	ADJ
ejpam-4930	232	122	value	value	NOUN
ejpam-4930	232	123	of	of	ADP
ejpam-4930	232	124	ωc	ωc	ADP
ejpam-4930	232	125	,	,	PUNCT
ejpam-4930	232	126	fig	fig	NOUN
ejpam-4930	232	127	.	.	PUNCT
ejpam-4930	232	128	11	11	NUM
ejpam-4930	232	129	is	be	AUX
ejpam-4930	232	130	plotted	plot	VERB
ejpam-4930	232	131	to	to	PART
ejpam-4930	232	132	show	show	VERB
ejpam-4930	232	133	the	the	DET
ejpam-4930	232	134	response	response	NOUN
ejpam-4930	232	135	of	of	ADP
ejpam-4930	232	136	the	the	DET
ejpam-4930	232	137	car	car	NOUN
ejpam-4930	232	138	’s	’s	PART
ejpam-4930	232	139	motion	motion	NOUN
ejpam-4930	232	140	amplitude	amplitude	NOUN
ejpam-4930	232	141	a	a	PRON
ejpam-4930	232	142	to	to	ADP
ejpam-4930	232	143	the	the	DET
ejpam-4930	232	144	frequency	frequency	NOUN
ejpam-4930	232	145	detuning	detuning	NOUN
ejpam-4930	232	146	σ	σ	PROPN
ejpam-4930	232	147	and	and	CCONJ
ejpam-4930	232	148	the	the	DET
ejpam-4930	232	149	gain	gain	NOUN
ejpam-4930	232	150	product	product	NOUN
ejpam-4930	232	151	kkc	kkc	VERB
ejpam-4930	232	152	with	with	ADP
ejpam-4930	232	153	different	different	ADJ
ejpam-4930	232	154	values	value	NOUN
ejpam-4930	232	155	of	of	ADP
ejpam-4930	232	156	ωc	ωc	PROPN
ejpam-4930	232	157	.	.	PUNCT
ejpam-4930	233	1	at	at	ADP
ejpam-4930	233	2	ωc	ωc	PROPN
ejpam-4930	233	3	=	=	SYM
ejpam-4930	233	4	ω	ω	PROPN
ejpam-4930	233	5	in	in	ADP
ejpam-4930	233	6	figs	fig	NOUN
ejpam-4930	233	7	.	.	PUNCT
ejpam-4930	233	8	11a	11a	NOUN
ejpam-4930	233	9	and	and	CCONJ
ejpam-4930	233	10	b	b	NOUN
ejpam-4930	233	11	,	,	PUNCT
ejpam-4930	233	12	the	the	DET
ejpam-4930	233	13	amplitude	amplitude	NOUN
ejpam-4930	233	14	is	be	AUX
ejpam-4930	233	15	suppressed	suppress	VERB
ejpam-4930	233	16	with	with	ADP
ejpam-4930	233	17	increasing	increase	VERB
ejpam-4930	233	18	the	the	DET
ejpam-4930	233	19	gain	gain	NOUN
ejpam-4930	233	20	product	product	NOUN
ejpam-4930	233	21	kkc	kkc	VERB
ejpam-4930	233	22	in	in	ADP
ejpam-4930	233	23	addition	addition	NOUN
ejpam-4930	233	24	to	to	ADP
ejpam-4930	233	25	eliminating	eliminate	VERB
ejpam-4930	233	26	the	the	DET
ejpam-4930	233	27	jump	jump	NOUN
ejpam-4930	233	28	phenomena	phenomenon	NOUN
ejpam-4930	233	29	that	that	PRON
ejpam-4930	233	30	were	be	AUX
ejpam-4930	233	31	present	present	ADJ
ejpam-4930	233	32	for	for	ADP
ejpam-4930	233	33	lower	low	ADJ
ejpam-4930	233	34	values	value	NOUN
ejpam-4930	233	35	of	of	ADP
ejpam-4930	233	36	kkc	kkc	PROPN
ejpam-4930	233	37	.	.	PUNCT
ejpam-4930	234	1	as	as	ADP
ejpam-4930	234	2	ωc	ωc	ADP
ejpam-4930	234	3	decreases	decrease	NOUN
ejpam-4930	234	4	in	in	ADP
ejpam-4930	234	5	figs	fig	NOUN
ejpam-4930	234	6	.	.	PUNCT
ejpam-4930	235	1	11c	11c	NOUN
ejpam-4930	235	2	-	-	SYM
ejpam-4930	235	3	f	f	X
ejpam-4930	235	4	,	,	PUNCT
ejpam-4930	235	5	the	the	DET
ejpam-4930	235	6	amplitude	amplitude	NOUN
ejpam-4930	235	7	gets	get	VERB
ejpam-4930	235	8	to	to	ADP
ejpam-4930	235	9	better	well	ADJ
ejpam-4930	235	10	reduction	reduction	NOUN
ejpam-4930	235	11	ratios	ratio	NOUN
ejpam-4930	235	12	at	at	ADP
ejpam-4930	235	13	kkc	kkc	NOUN
ejpam-4930	235	14	=	=	SYM
ejpam-4930	235	15	1.0	1.0	NUM
ejpam-4930	235	16	ensuring	ensure	VERB
ejpam-4930	235	17	that	that	SCONJ
ejpam-4930	235	18	the	the	DET
ejpam-4930	235	19	theoretical	theoretical	ADJ
ejpam-4930	235	20	optimum	optimum	ADJ
ejpam-4930	235	21	values	value	NOUN
ejpam-4930	235	22	of	of	ADP
ejpam-4930	235	23	kkc	kkc	NOUN
ejpam-4930	235	24	and	and	CCONJ
ejpam-4930	235	25	ωc	ωc	X
ejpam-4930	235	26	are	be	AUX
ejpam-4930	235	27	1.0	1.0	NUM
ejpam-4930	235	28	and	and	CCONJ
ejpam-4930	235	29	0	0	NUM
ejpam-4930	235	30	,	,	PUNCT
ejpam-4930	235	31	respectively	respectively	ADV
ejpam-4930	235	32	,	,	PUNCT
ejpam-4930	235	33	where	where	SCONJ
ejpam-4930	235	34	the	the	DET
ejpam-4930	235	35	oscillation	oscillation	NOUN
ejpam-4930	235	36	amplitude	amplitude	NOUN
ejpam-4930	235	37	has	have	AUX
ejpam-4930	235	38	been	be	AUX
ejpam-4930	235	39	suppressed	suppress	VERB
ejpam-4930	235	40	by	by	ADP
ejpam-4930	235	41	about	about	ADV
ejpam-4930	235	42	68	68	NUM
ejpam-4930	235	43	%	%	NOUN
ejpam-4930	235	44	of	of	ADP
ejpam-4930	235	45	its	its	PRON
ejpam-4930	235	46	uncontrolled	uncontrolled	ADJ
ejpam-4930	235	47	state	state	NOUN
ejpam-4930	235	48	at	at	ADP
ejpam-4930	235	49	σ	σ	PROPN
ejpam-4930	235	50	=	=	SYM
ejpam-4930	235	51	0	0	X
ejpam-4930	235	52	.	.	PUNCT
ejpam-4930	235	53	figure	figure	NOUN
ejpam-4930	235	54	12	12	NUM
ejpam-4930	235	55	portrays	portray	VERB
ejpam-4930	235	56	the	the	DET
ejpam-4930	235	57	response	response	NOUN
ejpam-4930	235	58	of	of	ADP
ejpam-4930	235	59	the	the	DET
ejpam-4930	235	60	car	car	NOUN
ejpam-4930	235	61	’s	’s	PART
ejpam-4930	235	62	motion	motion	NOUN
ejpam-4930	235	63	amplitude	amplitude	NOUN
ejpam-4930	235	64	a	a	PRON
ejpam-4930	235	65	to	to	ADP
ejpam-4930	235	66	the	the	DET
ejpam-4930	235	67	force	force	NOUN
ejpam-4930	235	68	amplitude	amplitude	NOUN
ejpam-4930	235	69	f	f	PROPN
ejpam-4930	235	70	and	and	CCONJ
ejpam-4930	235	71	the	the	DET
ejpam-4930	235	72	gain	gain	NOUN
ejpam-4930	235	73	product	product	NOUN
ejpam-4930	235	74	kkc	kkc	VERB
ejpam-4930	235	75	at	at	ADP
ejpam-4930	235	76	σ	σ	PROPN
ejpam-4930	235	77	=	=	SYM
ejpam-4930	235	78	0	0	NUM
ejpam-4930	235	79	and	and	CCONJ
ejpam-4930	235	80	different	different	ADJ
ejpam-4930	235	81	values	value	NOUN
ejpam-4930	235	82	ofωc	ofωc	ADJ
ejpam-4930	235	83	.	.	PUNCT
ejpam-4930	236	1	as	as	SCONJ
ejpam-4930	236	2	can	can	AUX
ejpam-4930	236	3	be	be	AUX
ejpam-4930	236	4	seen	see	VERB
ejpam-4930	236	5	,	,	PUNCT
ejpam-4930	236	6	the	the	DET
ejpam-4930	236	7	best	good	ADJ
ejpam-4930	236	8	state	state	NOUN
ejpam-4930	236	9	of	of	ADP
ejpam-4930	236	10	the	the	DET
ejpam-4930	236	11	curve	curve	NOUN
ejpam-4930	236	12	(	(	PUNCT
ejpam-4930	236	13	lower	low	ADJ
ejpam-4930	236	14	amplitudes	amplitude	NOUN
ejpam-4930	236	15	with	with	ADP
ejpam-4930	236	16	respect	respect	NOUN
ejpam-4930	236	17	to	to	ADP
ejpam-4930	236	18	changing	change	VERB
ejpam-4930	236	19	f	f	PROPN
ejpam-4930	236	20	values	value	NOUN
ejpam-4930	236	21	)	)	PUNCT
ejpam-4930	236	22	is	be	AUX
ejpam-4930	236	23	the	the	DET
ejpam-4930	236	24	one	one	NUM
ejpam-4930	236	25	at	at	ADP
ejpam-4930	236	26	kkc	kkc	NOUN
ejpam-4930	236	27	=	=	SYM
ejpam-4930	236	28	1.0	1.0	NUM
ejpam-4930	236	29	and	and	CCONJ
ejpam-4930	236	30	ωc	ωc	ADP
ejpam-4930	237	1	=	=	SYM
ejpam-4930	237	2	0	0	NUM
ejpam-4930	238	1	in	in	ADP
ejpam-4930	238	2	order	order	NOUN
ejpam-4930	238	3	to	to	PART
ejpam-4930	238	4	have	have	AUX
ejpam-4930	238	5	better	well	ADJ
ejpam-4930	238	6	reduction	reduction	NOUN
ejpam-4930	238	7	ratios	ratio	NOUN
ejpam-4930	238	8	where	where	SCONJ
ejpam-4930	238	9	the	the	DET
ejpam-4930	238	10	oscillation	oscillation	NOUN
ejpam-4930	238	11	amplitude	amplitude	NOUN
ejpam-4930	238	12	has	have	AUX
ejpam-4930	238	13	been	be	AUX
ejpam-4930	238	14	suppressed	suppress	VERB
ejpam-4930	238	15	by	by	ADP
ejpam-4930	238	16	about	about	ADV
ejpam-4930	238	17	51	51	NUM
ejpam-4930	238	18	%	%	NOUN
ejpam-4930	238	19	of	of	ADP
ejpam-4930	238	20	its	its	PRON
ejpam-4930	238	21	uncontrolled	uncontrolled	ADJ
ejpam-4930	238	22	state	state	NOUN
ejpam-4930	238	23	at	at	ADP
ejpam-4930	238	24	f	f	PROPN
ejpam-4930	238	25	=	=	SYM
ejpam-4930	238	26	0.1	0.1	NUM
ejpam-4930	238	27	.	.	PUNCT
ejpam-4930	239	1	in	in	ADP
ejpam-4930	239	2	addition	addition	NOUN
ejpam-4930	239	3	,	,	PUNCT
ejpam-4930	239	4	fig	fig	NOUN
ejpam-4930	239	5	.	.	PUNCT
ejpam-4930	240	1	13	13	NUM
ejpam-4930	240	2	portrays	portray	VERB
ejpam-4930	240	3	the	the	DET
ejpam-4930	240	4	same	same	ADJ
ejpam-4930	240	5	response	response	NOUN
ejpam-4930	240	6	as	as	ADP
ejpam-4930	240	7	per	per	ADP
ejpam-4930	240	8	fig	fig	NOUN
ejpam-4930	240	9	.	.	PUNCT
ejpam-4930	241	1	12	12	NUM
ejpam-4930	241	2	but	but	CCONJ
ejpam-4930	241	3	at	at	ADP
ejpam-4930	241	4	σ	σ	NOUN
ejpam-4930	241	5	=	=	SYM
ejpam-4930	241	6	0.1	0.1	NUM
ejpam-4930	241	7	.	.	PUNCT
ejpam-4930	242	1	it	it	PRON
ejpam-4930	242	2	is	be	AUX
ejpam-4930	242	3	assured	assure	VERB
ejpam-4930	242	4	that	that	SCONJ
ejpam-4930	242	5	the	the	DET
ejpam-4930	242	6	optimum	optimum	ADJ
ejpam-4930	242	7	curve	curve	NOUN
ejpam-4930	242	8	can	can	AUX
ejpam-4930	242	9	be	be	AUX
ejpam-4930	242	10	reached	reach	VERB
ejpam-4930	242	11	at	at	ADP
ejpam-4930	242	12	kkc	kkc	NOUN
ejpam-4930	242	13	=	=	SYM
ejpam-4930	242	14	1.0	1.0	NUM
ejpam-4930	242	15	and	and	CCONJ
ejpam-4930	242	16	ωc	ωc	ADP
ejpam-4930	243	1	=	=	SYM
ejpam-4930	243	2	0	0	NUM
ejpam-4930	244	1	in	in	ADP
ejpam-4930	244	2	order	order	NOUN
ejpam-4930	244	3	to	to	PART
ejpam-4930	244	4	have	have	AUX
ejpam-4930	244	5	better	well	ADJ
ejpam-4930	244	6	reduction	reduction	NOUN
ejpam-4930	244	7	ratios	ratio	NOUN
ejpam-4930	244	8	where	where	SCONJ
ejpam-4930	244	9	the	the	DET
ejpam-4930	244	10	oscillation	oscillation	NOUN
ejpam-4930	244	11	amplitude	amplitude	NOUN
ejpam-4930	244	12	has	have	AUX
ejpam-4930	244	13	been	be	AUX
ejpam-4930	244	14	suppressed	suppress	VERB
ejpam-4930	244	15	by	by	ADP
ejpam-4930	244	16	about	about	ADV
ejpam-4930	244	17	87	87	NUM
ejpam-4930	244	18	%	%	NOUN
ejpam-4930	244	19	of	of	ADP
ejpam-4930	244	20	its	its	PRON
ejpam-4930	244	21	uncontrolled	uncontrolled	ADJ
ejpam-4930	244	22	state	state	NOUN
ejpam-4930	244	23	at	at	ADP
ejpam-4930	244	24	f	f	PROPN
ejpam-4930	244	25	=	=	SYM
ejpam-4930	244	26	0.1	0.1	NUM
ejpam-4930	244	27	.	.	PUNCT
ejpam-4930	245	1	another	another	DET
ejpam-4930	245	2	aspect	aspect	NOUN
ejpam-4930	245	3	appears	appear	VERB
ejpam-4930	245	4	in	in	ADP
ejpam-4930	245	5	the	the	DET
ejpam-4930	245	6	figure	figure	NOUN
ejpam-4930	245	7	that	that	PRON
ejpam-4930	245	8	is	be	AUX
ejpam-4930	245	9	the	the	DET
ejpam-4930	245	10	elimination	elimination	NOUN
ejpam-4930	245	11	of	of	ADP
ejpam-4930	245	12	the	the	DET
ejpam-4930	245	13	jump	jump	NOUN
ejpam-4930	245	14	phenomena	phenomenon	NOUN
ejpam-4930	245	15	and	and	CCONJ
ejpam-4930	245	16	the	the	DET
ejpam-4930	245	17	unstable	unstable	ADJ
ejpam-4930	245	18	region	region	NOUN
ejpam-4930	245	19	at	at	ADP
ejpam-4930	245	20	the	the	DET
ejpam-4930	245	21	mentioned	mention	VERB
ejpam-4930	245	22	optimum	optimum	ADJ
ejpam-4930	245	23	values	value	NOUN
ejpam-4930	245	24	of	of	ADP
ejpam-4930	245	25	kkc	kkc	NOUN
ejpam-4930	245	26	and	and	CCONJ
ejpam-4930	245	27	ωc	ωc	PROPN
ejpam-4930	245	28	.	.	PUNCT
ejpam-4930	245	29	a.	a.	PROPN
ejpam-4930	245	30	kandil	kandil	PROPN
ejpam-4930	245	31	,	,	PUNCT
ejpam-4930	245	32	y.	y.	PROPN
ejpam-4930	245	33	s.	s.	PROPN
ejpam-4930	245	34	hamed	hamed	PROPN
ejpam-4930	245	35	/	/	SYM
ejpam-4930	245	36	eur	eur	PROPN
ejpam-4930	245	37	.	.	PUNCT
ejpam-4930	246	1	j.	j.	PROPN
ejpam-4930	246	2	pure	pure	PROPN
ejpam-4930	246	3	appl	appl	PROPN
ejpam-4930	246	4	.	.	PROPN
ejpam-4930	246	5	math	math	PROPN
ejpam-4930	246	6	,	,	PUNCT
ejpam-4930	246	7	16	16	NUM
ejpam-4930	246	8	(	(	PUNCT
ejpam-4930	246	9	4	4	NUM
ejpam-4930	246	10	)	)	PUNCT
ejpam-4930	246	11	(	(	PUNCT
ejpam-4930	246	12	2023	2023	NUM
ejpam-4930	246	13	)	)	PUNCT
ejpam-4930	246	14	,	,	PUNCT
ejpam-4930	246	15	2729	2729	NUM
ejpam-4930	246	16	-	-	SYM
ejpam-4930	246	17	2750	2750	NUM
ejpam-4930	246	18	2742	2742	NUM
ejpam-4930	246	19	figure	figure	NOUN
ejpam-4930	246	20	11	11	NUM
ejpam-4930	246	21	:	:	PUNCT
ejpam-4930	246	22	response	response	NOUN
ejpam-4930	246	23	of	of	ADP
ejpam-4930	246	24	the	the	DET
ejpam-4930	246	25	car	car	NOUN
ejpam-4930	246	26	’s	’s	PART
ejpam-4930	246	27	motion	motion	NOUN
ejpam-4930	246	28	amplitude	amplitude	NOUN
ejpam-4930	246	29	a	a	PRON
ejpam-4930	246	30	to	to	ADP
ejpam-4930	246	31	the	the	DET
ejpam-4930	246	32	frequency	frequency	NOUN
ejpam-4930	246	33	detuning	detuning	NOUN
ejpam-4930	246	34	σ	σ	PROPN
ejpam-4930	246	35	and	and	CCONJ
ejpam-4930	246	36	the	the	DET
ejpam-4930	246	37	gain	gain	NOUN
ejpam-4930	246	38	product	product	NOUN
ejpam-4930	246	39	kkc	kkc	PROPN
ejpam-4930	246	40	:	:	PUNCT
ejpam-4930	246	41	(	(	PUNCT
ejpam-4930	246	42	a	a	DET
ejpam-4930	246	43	,	,	PUNCT
ejpam-4930	246	44	b	b	NOUN
ejpam-4930	246	45	)	)	PUNCT
ejpam-4930	246	46	ωc	ωc	ADP
ejpam-4930	246	47	=	=	SYM
ejpam-4930	246	48	ω	ω	PROPN
ejpam-4930	246	49	,	,	PUNCT
ejpam-4930	246	50	(	(	PUNCT
ejpam-4930	246	51	c	c	X
ejpam-4930	246	52	,	,	PUNCT
ejpam-4930	246	53	d	d	NOUN
ejpam-4930	246	54	)	)	PUNCT
ejpam-4930	246	55	ωc	ωc	PROPN
ejpam-4930	247	1	=	=	SYM
ejpam-4930	247	2	1	1	NUM
ejpam-4930	247	3	,	,	PUNCT
ejpam-4930	247	4	(	(	PUNCT
ejpam-4930	247	5	e	e	NOUN
ejpam-4930	247	6	,	,	PUNCT
ejpam-4930	247	7	f	f	NOUN
ejpam-4930	247	8	)	)	PUNCT
ejpam-4930	247	9	ωc	ωc	PROPN
ejpam-4930	248	1	=	=	SYM
ejpam-4930	248	2	0	0	NUM
ejpam-4930	248	3	a.	a.	NOUN
ejpam-4930	248	4	kandil	kandil	PROPN
ejpam-4930	248	5	,	,	PUNCT
ejpam-4930	248	6	y.	y.	PROPN
ejpam-4930	248	7	s.	s.	PROPN
ejpam-4930	248	8	hamed	hamed	PROPN
ejpam-4930	248	9	/	/	SYM
ejpam-4930	248	10	eur	eur	PROPN
ejpam-4930	248	11	.	.	PUNCT
ejpam-4930	249	1	j.	j.	PROPN
ejpam-4930	249	2	pure	pure	PROPN
ejpam-4930	249	3	appl	appl	PROPN
ejpam-4930	249	4	.	.	PROPN
ejpam-4930	249	5	math	math	PROPN
ejpam-4930	249	6	,	,	PUNCT
ejpam-4930	249	7	16	16	NUM
ejpam-4930	249	8	(	(	PUNCT
ejpam-4930	249	9	4	4	NUM
ejpam-4930	249	10	)	)	PUNCT
ejpam-4930	249	11	(	(	PUNCT
ejpam-4930	249	12	2023	2023	NUM
ejpam-4930	249	13	)	)	PUNCT
ejpam-4930	249	14	,	,	PUNCT
ejpam-4930	249	15	2729	2729	NUM
ejpam-4930	249	16	-	-	SYM
ejpam-4930	249	17	2750	2750	NUM
ejpam-4930	249	18	2743	2743	NUM
ejpam-4930	249	19	figure	figure	NOUN
ejpam-4930	249	20	12	12	NUM
ejpam-4930	249	21	:	:	PUNCT
ejpam-4930	249	22	response	response	NOUN
ejpam-4930	249	23	of	of	ADP
ejpam-4930	249	24	the	the	DET
ejpam-4930	249	25	car	car	NOUN
ejpam-4930	249	26	’s	’s	PART
ejpam-4930	249	27	motion	motion	NOUN
ejpam-4930	249	28	amplitude	amplitude	NOUN
ejpam-4930	249	29	a	a	PRON
ejpam-4930	249	30	to	to	ADP
ejpam-4930	249	31	the	the	DET
ejpam-4930	249	32	force	force	NOUN
ejpam-4930	249	33	amplitude	amplitude	NOUN
ejpam-4930	249	34	f	f	PROPN
ejpam-4930	249	35	and	and	CCONJ
ejpam-4930	249	36	the	the	DET
ejpam-4930	249	37	gain	gain	NOUN
ejpam-4930	249	38	product	product	NOUN
ejpam-4930	249	39	kkc	kkc	VERB
ejpam-4930	249	40	at	at	ADP
ejpam-4930	249	41	σ	σ	PROPN
ejpam-4930	249	42	=	=	SYM
ejpam-4930	249	43	0	0	NUM
ejpam-4930	249	44	:	:	PUNCT
ejpam-4930	249	45	(	(	PUNCT
ejpam-4930	249	46	a	a	DET
ejpam-4930	249	47	,	,	PUNCT
ejpam-4930	249	48	b	b	NOUN
ejpam-4930	249	49	)	)	PUNCT
ejpam-4930	249	50	ωc	ωc	PROPN
ejpam-4930	250	1	=	=	SYM
ejpam-4930	250	2	0	0	PROPN
ejpam-4930	250	3	,	,	PUNCT
ejpam-4930	250	4	(	(	PUNCT
ejpam-4930	250	5	c	c	X
ejpam-4930	250	6	,	,	PUNCT
ejpam-4930	250	7	d	d	NOUN
ejpam-4930	250	8	)	)	PUNCT
ejpam-4930	250	9	ωc	ωc	PROPN
ejpam-4930	251	1	=	=	SYM
ejpam-4930	251	2	1	1	NUM
ejpam-4930	251	3	,	,	PUNCT
ejpam-4930	251	4	(	(	PUNCT
ejpam-4930	251	5	e	e	NOUN
ejpam-4930	251	6	,	,	PUNCT
ejpam-4930	251	7	f	f	NOUN
ejpam-4930	251	8	)	)	PUNCT
ejpam-4930	251	9	ωc	ωc	PROPN
ejpam-4930	252	1	=	=	SYM
ejpam-4930	252	2	ω	ω	NUM
ejpam-4930	252	3	a.	a.	NOUN
ejpam-4930	252	4	kandil	kandil	PROPN
ejpam-4930	252	5	,	,	PUNCT
ejpam-4930	252	6	y.	y.	PROPN
ejpam-4930	252	7	s.	s.	PROPN
ejpam-4930	252	8	hamed	hamed	PROPN
ejpam-4930	252	9	/	/	SYM
ejpam-4930	252	10	eur	eur	PROPN
ejpam-4930	252	11	.	.	PUNCT
ejpam-4930	253	1	j.	j.	PROPN
ejpam-4930	253	2	pure	pure	PROPN
ejpam-4930	253	3	appl	appl	PROPN
ejpam-4930	253	4	.	.	PROPN
ejpam-4930	253	5	math	math	PROPN
ejpam-4930	253	6	,	,	PUNCT
ejpam-4930	253	7	16	16	NUM
ejpam-4930	253	8	(	(	PUNCT
ejpam-4930	253	9	4	4	NUM
ejpam-4930	253	10	)	)	PUNCT
ejpam-4930	253	11	(	(	PUNCT
ejpam-4930	253	12	2023	2023	NUM
ejpam-4930	253	13	)	)	PUNCT
ejpam-4930	253	14	,	,	PUNCT
ejpam-4930	253	15	2729	2729	NUM
ejpam-4930	253	16	-	-	SYM
ejpam-4930	253	17	2750	2750	NUM
ejpam-4930	253	18	2744	2744	NUM
ejpam-4930	253	19	figure	figure	NOUN
ejpam-4930	253	20	13	13	NUM
ejpam-4930	253	21	:	:	PUNCT
ejpam-4930	253	22	response	response	NOUN
ejpam-4930	253	23	of	of	ADP
ejpam-4930	253	24	the	the	DET
ejpam-4930	253	25	car	car	NOUN
ejpam-4930	253	26	’s	’s	PART
ejpam-4930	253	27	motion	motion	NOUN
ejpam-4930	253	28	amplitude	amplitude	NOUN
ejpam-4930	253	29	a	a	PRON
ejpam-4930	253	30	to	to	ADP
ejpam-4930	253	31	the	the	DET
ejpam-4930	253	32	force	force	NOUN
ejpam-4930	253	33	amplitude	amplitude	NOUN
ejpam-4930	253	34	f	f	PROPN
ejpam-4930	253	35	and	and	CCONJ
ejpam-4930	253	36	the	the	DET
ejpam-4930	253	37	gain	gain	NOUN
ejpam-4930	253	38	product	product	NOUN
ejpam-4930	253	39	kkc	kkc	VERB
ejpam-4930	253	40	at	at	ADP
ejpam-4930	253	41	σ	σ	NOUN
ejpam-4930	253	42	=	=	NOUN
ejpam-4930	253	43	0.1	0.1	NUM
ejpam-4930	253	44	:	:	PUNCT
ejpam-4930	253	45	(	(	PUNCT
ejpam-4930	253	46	a	a	DET
ejpam-4930	253	47	,	,	PUNCT
ejpam-4930	253	48	b	b	NOUN
ejpam-4930	253	49	)	)	PUNCT
ejpam-4930	253	50	ωc	ωc	ADP
ejpam-4930	254	1	=	=	SYM
ejpam-4930	254	2	ω	ω	PROPN
ejpam-4930	254	3	,	,	PUNCT
ejpam-4930	254	4	(	(	PUNCT
ejpam-4930	254	5	c	c	X
ejpam-4930	254	6	,	,	PUNCT
ejpam-4930	254	7	d	d	NOUN
ejpam-4930	254	8	)	)	PUNCT
ejpam-4930	254	9	ωc	ωc	PROPN
ejpam-4930	255	1	=	=	SYM
ejpam-4930	255	2	1	1	NUM
ejpam-4930	255	3	,	,	PUNCT
ejpam-4930	255	4	(	(	PUNCT
ejpam-4930	255	5	e	e	NOUN
ejpam-4930	255	6	,	,	PUNCT
ejpam-4930	255	7	f	f	NOUN
ejpam-4930	255	8	)	)	PUNCT
ejpam-4930	255	9	ωc	ωc	PROPN
ejpam-4930	256	1	=	=	SYM
ejpam-4930	256	2	0	0	NUM
ejpam-4930	256	3	4	4	NUM
ejpam-4930	256	4	.	.	PUNCT
ejpam-4930	256	5	numerical	numerical	PROPN
ejpam-4930	256	6	simulation	simulation	PROPN
ejpam-4930	256	7	of	of	ADP
ejpam-4930	256	8	the	the	DET
ejpam-4930	256	9	car	car	NOUN
ejpam-4930	256	10	’s	’s	PART
ejpam-4930	256	11	motion	motion	NOUN
ejpam-4930	256	12	regarding	regard	VERB
ejpam-4930	256	13	the	the	DET
ejpam-4930	256	14	numerical	numerical	ADJ
ejpam-4930	256	15	simulation	simulation	NOUN
ejpam-4930	256	16	of	of	ADP
ejpam-4930	256	17	the	the	DET
ejpam-4930	256	18	car	car	NOUN
ejpam-4930	256	19	’s	’s	PART
ejpam-4930	256	20	motion	motion	NOUN
ejpam-4930	256	21	,	,	PUNCT
ejpam-4930	256	22	the	the	DET
ejpam-4930	256	23	fourth	fourth	ADJ
ejpam-4930	256	24	-	-	PUNCT
ejpam-4930	256	25	order	order	NOUN
ejpam-4930	256	26	runge	runge	NOUN
ejpam-4930	256	27	-	-	PUNCT
ejpam-4930	256	28	kutta	kutta	NOUN
ejpam-4930	256	29	technique	technique	NOUN
ejpam-4930	256	30	has	have	AUX
ejpam-4930	256	31	been	be	AUX
ejpam-4930	256	32	adopted	adopt	VERB
ejpam-4930	256	33	in	in	ADP
ejpam-4930	256	34	order	order	NOUN
ejpam-4930	256	35	to	to	PART
ejpam-4930	256	36	integrate	integrate	VERB
ejpam-4930	256	37	eqs	eqs	PROPN
ejpam-4930	256	38	.	.	PUNCT
ejpam-4930	257	1	(	(	PUNCT
ejpam-4930	257	2	3	3	X
ejpam-4930	257	3	)	)	PUNCT
ejpam-4930	257	4	and	and	CCONJ
ejpam-4930	257	5	(	(	PUNCT
ejpam-4930	257	6	4	4	X
ejpam-4930	257	7	)	)	PUNCT
ejpam-4930	257	8	numerically	numerically	ADV
ejpam-4930	257	9	.	.	PUNCT
ejpam-4930	258	1	the	the	DET
ejpam-4930	258	2	resulting	result	VERB
ejpam-4930	258	3	time	time	NOUN
ejpam-4930	258	4	responses	response	NOUN
ejpam-4930	258	5	are	be	AUX
ejpam-4930	258	6	plotted	plot	VERB
ejpam-4930	258	7	to	to	PART
ejpam-4930	258	8	verify	verify	VERB
ejpam-4930	258	9	the	the	DET
ejpam-4930	258	10	analytical	analytical	ADJ
ejpam-4930	258	11	approximate	approximate	ADJ
ejpam-4930	258	12	responses	response	NOUN
ejpam-4930	258	13	that	that	SCONJ
ejpam-4930	258	14	a.	a.	NOUN
ejpam-4930	258	15	kandil	kandil	PROPN
ejpam-4930	258	16	,	,	PUNCT
ejpam-4930	258	17	y.	y.	PROPN
ejpam-4930	258	18	s.	s.	PROPN
ejpam-4930	258	19	hamed	hamed	PROPN
ejpam-4930	258	20	/	/	SYM
ejpam-4930	258	21	eur	eur	PROPN
ejpam-4930	258	22	.	.	PUNCT
ejpam-4930	259	1	j.	j.	PROPN
ejpam-4930	259	2	pure	pure	PROPN
ejpam-4930	259	3	appl	appl	PROPN
ejpam-4930	259	4	.	.	PROPN
ejpam-4930	259	5	math	math	PROPN
ejpam-4930	259	6	,	,	PUNCT
ejpam-4930	259	7	16	16	NUM
ejpam-4930	259	8	(	(	PUNCT
ejpam-4930	259	9	4	4	NUM
ejpam-4930	259	10	)	)	PUNCT
ejpam-4930	259	11	(	(	PUNCT
ejpam-4930	259	12	2023	2023	NUM
ejpam-4930	259	13	)	)	PUNCT
ejpam-4930	259	14	,	,	PUNCT
ejpam-4930	259	15	2729	2729	NUM
ejpam-4930	259	16	-	-	SYM
ejpam-4930	259	17	2750	2750	NUM
ejpam-4930	259	18	2745	2745	NUM
ejpam-4930	259	19	were	be	AUX
ejpam-4930	259	20	discussed	discuss	VERB
ejpam-4930	259	21	earlier	early	ADV
ejpam-4930	259	22	in	in	ADP
ejpam-4930	259	23	figs	fig	NOUN
ejpam-4930	259	24	.	.	PUNCT
ejpam-4930	260	1	2	2	NUM
ejpam-4930	260	2	to	to	PART
ejpam-4930	260	3	13	13	NUM
ejpam-4930	260	4	.	.	PUNCT
ejpam-4930	261	1	figures	figure	NOUN
ejpam-4930	261	2	14	14	NUM
ejpam-4930	261	3	and	and	CCONJ
ejpam-4930	261	4	15	15	NUM
ejpam-4930	261	5	describe	describe	VERB
ejpam-4930	261	6	the	the	DET
ejpam-4930	261	7	time	time	NOUN
ejpam-4930	261	8	response	response	NOUN
ejpam-4930	261	9	evolution	evolution	NOUN
ejpam-4930	261	10	of	of	ADP
ejpam-4930	261	11	the	the	DET
ejpam-4930	261	12	car	car	NOUN
ejpam-4930	261	13	’s	’s	PART
ejpam-4930	261	14	amplitude	amplitude	NOUN
ejpam-4930	261	15	through	through	ADP
ejpam-4930	261	16	transient	transient	ADJ
ejpam-4930	261	17	and	and	CCONJ
ejpam-4930	261	18	steady	steady	ADJ
ejpam-4930	261	19	-	-	PUNCT
ejpam-4930	261	20	state	state	NOUN
ejpam-4930	261	21	cases	case	NOUN
ejpam-4930	261	22	as	as	SCONJ
ejpam-4930	261	23	shown	show	VERB
ejpam-4930	261	24	.	.	PUNCT
ejpam-4930	262	1	we	we	PRON
ejpam-4930	262	2	have	have	AUX
ejpam-4930	262	3	adopted	adopt	VERB
ejpam-4930	262	4	the	the	DET
ejpam-4930	262	5	same	same	ADJ
ejpam-4930	262	6	parameters	parameter	NOUN
ejpam-4930	262	7	values	value	NOUN
ejpam-4930	262	8	discussed	discuss	VERB
ejpam-4930	262	9	previously	previously	ADV
ejpam-4930	262	10	except	except	SCONJ
ejpam-4930	262	11	for	for	ADP
ejpam-4930	262	12	the	the	DET
ejpam-4930	262	13	value	value	NOUN
ejpam-4930	262	14	of	of	ADP
ejpam-4930	262	15	ωc	ωc	INTJ
ejpam-4930	262	16	which	which	PRON
ejpam-4930	262	17	had	have	VERB
ejpam-4930	262	18	a	a	DET
ejpam-4930	262	19	zero	zero	NUM
ejpam-4930	262	20	value	value	NOUN
ejpam-4930	262	21	(	(	PUNCT
ejpam-4930	262	22	theoretically	theoretically	ADV
ejpam-4930	262	23	)	)	PUNCT
ejpam-4930	262	24	but	but	CCONJ
ejpam-4930	262	25	has	have	VERB
ejpam-4930	262	26	the	the	DET
ejpam-4930	262	27	value	value	NOUN
ejpam-4930	262	28	0.1	0.1	NUM
ejpam-4930	262	29	for	for	ADP
ejpam-4930	262	30	stable	stable	ADJ
ejpam-4930	262	31	practical	practical	ADJ
ejpam-4930	262	32	operation	operation	NOUN
ejpam-4930	262	33	as	as	SCONJ
ejpam-4930	262	34	will	will	AUX
ejpam-4930	262	35	be	be	AUX
ejpam-4930	262	36	shown	show	VERB
ejpam-4930	262	37	.	.	PUNCT
ejpam-4930	263	1	equations	equation	NOUN
ejpam-4930	263	2	(	(	PUNCT
ejpam-4930	263	3	3	3	NUM
ejpam-4930	263	4	)	)	PUNCT
ejpam-4930	263	5	and	and	CCONJ
ejpam-4930	263	6	(	(	PUNCT
ejpam-4930	263	7	4	4	X
ejpam-4930	263	8	)	)	PUNCT
ejpam-4930	263	9	can	can	AUX
ejpam-4930	263	10	be	be	AUX
ejpam-4930	263	11	reformulated	reformulate	VERB
ejpam-4930	263	12	in	in	ADP
ejpam-4930	263	13	the	the	DET
ejpam-4930	263	14	sense	sense	NOUN
ejpam-4930	263	15	of	of	ADP
ejpam-4930	263	16	autonomous	autonomous	ADJ
ejpam-4930	263	17	system	system	NOUN
ejpam-4930	263	18	by	by	ADP
ejpam-4930	263	19	assuming	assume	VERB
ejpam-4930	263	20	the	the	DET
ejpam-4930	263	21	new	new	ADJ
ejpam-4930	263	22	variables	variable	NOUN
ejpam-4930	263	23	u	u	NOUN
ejpam-4930	263	24	=	=	NOUN
ejpam-4930	263	25	cos(ωt	cos(ωt	PRON
ejpam-4930	263	26	)	)	PUNCT
ejpam-4930	263	27	and	and	CCONJ
ejpam-4930	263	28	v	v	NOUN
ejpam-4930	263	29	=	=	SYM
ejpam-4930	263	30	sin(ωt	sin(ωt	NOUN
ejpam-4930	263	31	)	)	PUNCT
ejpam-4930	263	32	as	as	SCONJ
ejpam-4930	263	33	follows	follow	VERB
ejpam-4930	263	34	:	:	PUNCT
ejpam-4930	263	35	ẍ+	ẍ+	PROPN
ejpam-4930	263	36	µẋ+	µẋ+	PRON
ejpam-4930	264	1	ω2x+	ω2x+	INTJ
ejpam-4930	264	2	αx3	αx3	NOUN
ejpam-4930	264	3	=	=	PUNCT
ejpam-4930	264	4	fu+	fu+	PROPN
ejpam-4930	264	5	ky	ky	PROPN
ejpam-4930	264	6	(	(	PUNCT
ejpam-4930	264	7	30	30	NUM
ejpam-4930	264	8	)	)	PUNCT
ejpam-4930	264	9	ẏ	ẏ	PRON
ejpam-4930	264	10	+	+	CCONJ
ejpam-4930	264	11	ωcy	ωcy	ADJ
ejpam-4930	264	12	=	=	SYM
ejpam-4930	264	13	kcx	kcx	NOUN
ejpam-4930	264	14	(	(	PUNCT
ejpam-4930	264	15	31	31	NUM
ejpam-4930	264	16	)	)	PUNCT
ejpam-4930	264	17	u̇	u̇	NOUN
ejpam-4930	265	1	=	=	NOUN
ejpam-4930	265	2	−ωv	−ωv	NOUN
ejpam-4930	265	3	(	(	PUNCT
ejpam-4930	265	4	32	32	NUM
ejpam-4930	265	5	)	)	PUNCT
ejpam-4930	265	6	v̇	v̇	NOUN
ejpam-4930	266	1	=	=	PUNCT
ejpam-4930	266	2	ωu	ωu	PROPN
ejpam-4930	266	3	(	(	PUNCT
ejpam-4930	266	4	33	33	NUM
ejpam-4930	266	5	)	)	PUNCT
ejpam-4930	266	6	linearizing	linearize	VERB
ejpam-4930	266	7	the	the	DET
ejpam-4930	266	8	system	system	NOUN
ejpam-4930	266	9	of	of	ADP
ejpam-4930	266	10	equations	equation	NOUN
ejpam-4930	266	11	above	above	ADP
ejpam-4930	266	12	along	along	ADV
ejpam-4930	266	13	with	with	ADP
ejpam-4930	266	14	assuming	assume	VERB
ejpam-4930	266	15	that	that	SCONJ
ejpam-4930	266	16	x	x	PROPN
ejpam-4930	266	17	=	=	SYM
ejpam-4930	266	18	x1	x1	PROPN
ejpam-4930	266	19	and	and	CCONJ
ejpam-4930	266	20	ẋ	ẋ	PROPN
ejpam-4930	267	1	=	=	SYM
ejpam-4930	267	2	x2	x2	PROPN
ejpam-4930	267	3	,	,	PUNCT
ejpam-4930	267	4	then	then	ADV
ejpam-4930	267	5	rewriting	rewrite	VERB
ejpam-4930	267	6	the	the	DET
ejpam-4930	267	7	system	system	NOUN
ejpam-4930	267	8	in	in	ADP
ejpam-4930	267	9	the	the	DET
ejpam-4930	267	10	state	state	NOUN
ejpam-4930	267	11	-	-	PUNCT
ejpam-4930	267	12	space	space	NOUN
ejpam-4930	267	13	matrix	matrix	NOUN
ejpam-4930	267	14	form	form	NOUN
ejpam-4930	267	15	as	as	ADP
ejpam-4930	267	16	follows:	follows:	PROPN
ejpam-4930	267	17	ẋ1	ẋ1	PROPN
ejpam-4930	268	1	ẋ2	ẋ2	PROPN
ejpam-4930	269	1	ẏ	ẏ	PRON
ejpam-4930	269	2	u̇	u̇	NOUN
ejpam-4930	270	1	v̇	v̇	NOUN
ejpam-4930	270	2			NOUN
ejpam-4930	270	3	=	=	PUNCT
ejpam-4930	270	4			NOUN
ejpam-4930	270	5	0	0	NUM
ejpam-4930	271	1	1	1	NUM
ejpam-4930	271	2	0	0	NUM
ejpam-4930	271	3	0	0	NUM
ejpam-4930	271	4	0	0	PUNCT
ejpam-4930	272	1	−ω2	−ω2	NOUN
ejpam-4930	272	2	−µ	−µ	NOUN
ejpam-4930	272	3	k	k	PROPN
ejpam-4930	273	1	f	f	PROPN
ejpam-4930	273	2	0	0	NUM
ejpam-4930	274	1	kc	kc	PROPN
ejpam-4930	274	2	0	0	NUM
ejpam-4930	274	3	−ωc	−ωc	PROPN
ejpam-4930	274	4	0	0	NUM
ejpam-4930	274	5	0	0	NUM
ejpam-4930	274	6	0	0	NUM
ejpam-4930	274	7	0	0	NUM
ejpam-4930	274	8	0	0	NUM
ejpam-4930	274	9	0	0	NUM
ejpam-4930	275	1	−ω	−ω	NOUN
ejpam-4930	275	2	0	0	NUM
ejpam-4930	275	3	0	0	NUM
ejpam-4930	275	4	0	0	NUM
ejpam-4930	275	5	ω	ω	NUM
ejpam-4930	275	6	0	0	NUM
ejpam-4930	275	7			NOUN
ejpam-4930	275	8			NOUN
ejpam-4930	276	1	x1	x1	PRON
ejpam-4930	276	2	x2	x2	NOUN
ejpam-4930	276	3	y	y	PROPN
ejpam-4930	276	4	u	u	PROPN
ejpam-4930	276	5	v	v	ADP
ejpam-4930	276	6			NUM
ejpam-4930	276	7	(	(	PUNCT
ejpam-4930	276	8	34	34	NUM
ejpam-4930	276	9	)	)	PUNCT
ejpam-4930	276	10	applying	apply	VERB
ejpam-4930	276	11	the	the	DET
ejpam-4930	276	12	routh	routh	PROPN
ejpam-4930	276	13	-	-	PUNCT
ejpam-4930	276	14	hurwitz	hurwitz	PROPN
ejpam-4930	276	15	technique	technique	NOUN
ejpam-4930	276	16	on	on	ADP
ejpam-4930	276	17	the	the	DET
ejpam-4930	276	18	square	square	ADJ
ejpam-4930	276	19	matrix	matrix	NOUN
ejpam-4930	276	20	above	above	ADP
ejpam-4930	276	21	gives	give	VERB
ejpam-4930	276	22	us	we	PRON
ejpam-4930	276	23	some	some	DET
ejpam-4930	276	24	conditions	condition	NOUN
ejpam-4930	276	25	for	for	SCONJ
ejpam-4930	276	26	the	the	DET
ejpam-4930	276	27	system	system	NOUN
ejpam-4930	276	28	to	to	PART
ejpam-4930	276	29	be	be	AUX
ejpam-4930	276	30	stable	stable	ADJ
ejpam-4930	276	31	.	.	PUNCT
ejpam-4930	277	1	these	these	DET
ejpam-4930	277	2	conditions	condition	NOUN
ejpam-4930	277	3	give	give	VERB
ejpam-4930	277	4	us	we	PRON
ejpam-4930	277	5	that	that	PRON
ejpam-4930	277	6	ωc	ωc	PROPN
ejpam-4930	277	7	should	should	AUX
ejpam-4930	277	8	obey	obey	VERB
ejpam-4930	277	9	the	the	DET
ejpam-4930	277	10	inequality	inequality	NOUN
ejpam-4930	277	11	(	(	PUNCT
ejpam-4930	277	12	ωcω	ωcω	NOUN
ejpam-4930	277	13	2	2	NUM
ejpam-4930	277	14	−	−	PROPN
ejpam-4930	277	15	kkc	kkc	PROPN
ejpam-4930	277	16	)	)	PUNCT
ejpam-4930	277	17	≥	≥	NOUN
ejpam-4930	277	18	0	0	NUM
ejpam-4930	277	19	.	.	PUNCT
ejpam-4930	278	1	based	base	VERB
ejpam-4930	278	2	on	on	ADP
ejpam-4930	278	3	the	the	DET
ejpam-4930	278	4	last	last	ADJ
ejpam-4930	278	5	criterion	criterion	NOUN
ejpam-4930	278	6	,	,	PUNCT
ejpam-4930	278	7	ωc	ωc	PROPN
ejpam-4930	278	8	can	can	AUX
ejpam-4930	278	9	have	have	VERB
ejpam-4930	278	10	the	the	DET
ejpam-4930	278	11	minimum	minimum	ADJ
ejpam-4930	278	12	value	value	NOUN
ejpam-4930	278	13	0.1	0.1	NUM
ejpam-4930	278	14	if	if	SCONJ
ejpam-4930	278	15	the	the	DET
ejpam-4930	278	16	product	product	NOUN
ejpam-4930	278	17	kkc	kkc	VERB
ejpam-4930	278	18	=	=	SYM
ejpam-4930	278	19	1.0	1.0	NUM
ejpam-4930	278	20	and	and	CCONJ
ejpam-4930	278	21	ω2	ω2	ADJ
ejpam-4930	278	22	=	=	SYM
ejpam-4930	278	23	10	10	NUM
ejpam-4930	278	24	.	.	PUNCT
ejpam-4930	279	1	this	this	DET
ejpam-4930	279	2	optimum	optimum	ADJ
ejpam-4930	279	3	value	value	NOUN
ejpam-4930	279	4	of	of	ADP
ejpam-4930	279	5	ωc	ωc	PROPN
ejpam-4930	279	6	is	be	AUX
ejpam-4930	279	7	proved	prove	VERB
ejpam-4930	279	8	for	for	ADP
ejpam-4930	279	9	the	the	DET
ejpam-4930	279	10	practical	practical	ADJ
ejpam-4930	279	11	operation	operation	NOUN
ejpam-4930	279	12	of	of	ADP
ejpam-4930	279	13	the	the	DET
ejpam-4930	279	14	car	car	NOUN
ejpam-4930	279	15	not	not	PART
ejpam-4930	279	16	to	to	PART
ejpam-4930	279	17	make	make	VERB
ejpam-4930	279	18	any	any	DET
ejpam-4930	279	19	confusion	confusion	NOUN
ejpam-4930	279	20	with	with	ADP
ejpam-4930	279	21	the	the	DET
ejpam-4930	279	22	theoretical	theoretical	ADJ
ejpam-4930	279	23	approach	approach	NOUN
ejpam-4930	279	24	we	we	PRON
ejpam-4930	279	25	have	have	AUX
ejpam-4930	279	26	discussed	discuss	VERB
ejpam-4930	279	27	before	before	ADV
ejpam-4930	279	28	.	.	PUNCT
ejpam-4930	280	1	figure	figure	NOUN
ejpam-4930	280	2	14	14	NUM
ejpam-4930	280	3	shows	show	VERB
ejpam-4930	280	4	the	the	DET
ejpam-4930	280	5	time	time	NOUN
ejpam-4930	280	6	response	response	NOUN
ejpam-4930	280	7	of	of	ADP
ejpam-4930	280	8	the	the	DET
ejpam-4930	280	9	car	car	NOUN
ejpam-4930	280	10	’s	’s	PART
ejpam-4930	280	11	maximum	maximum	ADJ
ejpam-4930	280	12	displacement	displacement	NOUN
ejpam-4930	280	13	in	in	ADP
ejpam-4930	280	14	case	case	NOUN
ejpam-4930	280	15	that	that	SCONJ
ejpam-4930	280	16	f	f	PROPN
ejpam-4930	280	17	=	=	PUNCT
ejpam-4930	280	18	0.06	0.06	NUM
ejpam-4930	280	19	and	and	CCONJ
ejpam-4930	280	20	irc	irc	PROPN
ejpam-4930	280	21	is	be	AUX
ejpam-4930	280	22	off	off	ADV
ejpam-4930	280	23	(	(	PUNCT
ejpam-4930	280	24	k	k	NOUN
ejpam-4930	280	25	=	=	NOUN
ejpam-4930	280	26	0	0	NUM
ejpam-4930	280	27	)	)	PUNCT
ejpam-4930	280	28	then	then	ADV
ejpam-4930	280	29	on	on	ADV
ejpam-4930	280	30	(	(	PUNCT
ejpam-4930	280	31	kkc	kkc	VERB
ejpam-4930	280	32	=	=	SYM
ejpam-4930	280	33	1	1	NUM
ejpam-4930	280	34	and	and	CCONJ
ejpam-4930	280	35	ωc	ωc	X
ejpam-4930	280	36	=	=	NOUN
ejpam-4930	280	37	0.1	0.1	NUM
ejpam-4930	280	38	)	)	PUNCT
ejpam-4930	280	39	at	at	ADP
ejpam-4930	280	40	different	different	ADJ
ejpam-4930	280	41	values	value	NOUN
ejpam-4930	280	42	of	of	ADP
ejpam-4930	280	43	σ	σ	PROPN
ejpam-4930	280	44	.	.	PUNCT
ejpam-4930	281	1	it	it	PRON
ejpam-4930	281	2	can	can	AUX
ejpam-4930	281	3	be	be	AUX
ejpam-4930	281	4	seen	see	VERB
ejpam-4930	281	5	that	that	SCONJ
ejpam-4930	281	6	the	the	DET
ejpam-4930	281	7	car	car	NOUN
ejpam-4930	281	8	’s	’s	PART
ejpam-4930	281	9	peak	peak	NOUN
ejpam-4930	281	10	displacement	displacement	NOUN
ejpam-4930	281	11	xp	xp	INTJ
ejpam-4930	281	12	is	be	AUX
ejpam-4930	281	13	about	about	ADV
ejpam-4930	281	14	0.44	0.44	NUM
ejpam-4930	281	15	at	at	ADP
ejpam-4930	281	16	σ	σ	PROPN
ejpam-4930	281	17	=	=	SYM
ejpam-4930	281	18	0	0	NUM
ejpam-4930	281	19	(	(	PUNCT
ejpam-4930	281	20	fig	fig	NOUN
ejpam-4930	281	21	.	.	PUNCT
ejpam-4930	281	22	14a	14a	NOUN
ejpam-4930	281	23	)	)	PUNCT
ejpam-4930	281	24	during	during	ADP
ejpam-4930	281	25	forward	forward	ADV
ejpam-4930	281	26	sweeping	sweeping	ADJ
ejpam-4930	281	27	until	until	SCONJ
ejpam-4930	281	28	σ	σ	PROPN
ejpam-4930	281	29	reaches	reach	VERB
ejpam-4930	281	30	0.065	0.065	NUM
ejpam-4930	281	31	where	where	SCONJ
ejpam-4930	281	32	xp	xp	PROPN
ejpam-4930	281	33	is	be	AUX
ejpam-4930	281	34	about	about	ADV
ejpam-4930	281	35	0.85	0.85	NUM
ejpam-4930	281	36	then	then	ADV
ejpam-4930	281	37	suddenly	suddenly	ADV
ejpam-4930	281	38	xp	xp	INTJ
ejpam-4930	281	39	jumps	jump	VERB
ejpam-4930	281	40	down	down	ADP
ejpam-4930	281	41	to	to	ADP
ejpam-4930	281	42	about	about	ADV
ejpam-4930	281	43	0.15	0.15	NUM
ejpam-4930	281	44	at	at	ADP
ejpam-4930	281	45	σ	σ	PROPN
ejpam-4930	281	46	=	=	PROPN
ejpam-4930	281	47	0.070	0.070	NUM
ejpam-4930	281	48	(	(	PUNCT
ejpam-4930	281	49	fig	fig	NOUN
ejpam-4930	281	50	.	.	PUNCT
ejpam-4930	281	51	14b	14b	NUM
ejpam-4930	281	52	)	)	PUNCT
ejpam-4930	281	53	.	.	PUNCT
ejpam-4930	282	1	in	in	ADP
ejpam-4930	282	2	the	the	DET
ejpam-4930	282	3	backward	backward	ADJ
ejpam-4930	282	4	sweeping	sweeping	ADJ
ejpam-4930	282	5	process	process	NOUN
ejpam-4930	282	6	,	,	PUNCT
ejpam-4930	282	7	the	the	DET
ejpam-4930	282	8	car	car	NOUN
ejpam-4930	282	9	’s	’s	PART
ejpam-4930	282	10	peak	peak	NOUN
ejpam-4930	282	11	displacement	displacement	NOUN
ejpam-4930	282	12	xp	xp	INTJ
ejpam-4930	282	13	is	be	AUX
ejpam-4930	282	14	about	about	ADV
ejpam-4930	282	15	0.2	0.2	NUM
ejpam-4930	282	16	at	at	ADP
ejpam-4930	282	17	σ	σ	PROPN
ejpam-4930	282	18	=	=	SYM
ejpam-4930	282	19	0.050	0.050	NUM
ejpam-4930	282	20	(	(	PUNCT
ejpam-4930	282	21	fig	fig	NOUN
ejpam-4930	282	22	.	.	PUNCT
ejpam-4930	282	23	14c	14c	NOUN
ejpam-4930	282	24	)	)	PUNCT
ejpam-4930	282	25	until	until	SCONJ
ejpam-4930	282	26	σ	σ	PROPN
ejpam-4930	282	27	reaches	reach	VERB
ejpam-4930	282	28	0.045	0.045	NUM
ejpam-4930	282	29	where	where	SCONJ
ejpam-4930	282	30	xp	xp	PROPN
ejpam-4930	282	31	jumps	jump	VERB
ejpam-4930	282	32	up	up	ADP
ejpam-4930	282	33	suddenly	suddenly	ADV
ejpam-4930	282	34	to	to	ADP
ejpam-4930	282	35	about	about	ADV
ejpam-4930	282	36	0.75	0.75	NUM
ejpam-4930	282	37	(	(	PUNCT
ejpam-4930	282	38	fig	fig	NOUN
ejpam-4930	282	39	.	.	PUNCT
ejpam-4930	282	40	14c	14c	NOUN
ejpam-4930	282	41	)	)	PUNCT
ejpam-4930	282	42	.	.	PUNCT
ejpam-4930	283	1	the	the	DET
ejpam-4930	283	2	proposed	propose	VERB
ejpam-4930	283	3	control	control	NOUN
ejpam-4930	283	4	algorithm	algorithm	PROPN
ejpam-4930	283	5	will	will	AUX
ejpam-4930	283	6	treat	treat	VERB
ejpam-4930	283	7	such	such	ADJ
ejpam-4930	283	8	severe	severe	ADJ
ejpam-4930	283	9	jumps	jump	NOUN
ejpam-4930	283	10	.	.	PUNCT
ejpam-4930	284	1	in	in	ADP
ejpam-4930	284	2	fig	fig	NOUN
ejpam-4930	284	3	.	.	PUNCT
ejpam-4930	285	1	14a	14a	NOUN
ejpam-4930	285	2	where	where	SCONJ
ejpam-4930	285	3	σ	σ	PROPN
ejpam-4930	285	4	=	=	SYM
ejpam-4930	285	5	0	0	PROPN
ejpam-4930	285	6	,	,	PUNCT
ejpam-4930	285	7	the	the	DET
ejpam-4930	285	8	controlled	control	VERB
ejpam-4930	285	9	car	car	NOUN
ejpam-4930	285	10	’s	’s	PART
ejpam-4930	285	11	peak	peak	NOUN
ejpam-4930	285	12	displacement	displacement	NOUN
ejpam-4930	285	13	has	have	AUX
ejpam-4930	285	14	been	be	AUX
ejpam-4930	285	15	suppressed	suppress	VERB
ejpam-4930	285	16	by	by	ADP
ejpam-4930	285	17	about	about	ADV
ejpam-4930	285	18	64	64	NUM
ejpam-4930	285	19	%	%	NOUN
ejpam-4930	285	20	of	of	ADP
ejpam-4930	285	21	its	its	PRON
ejpam-4930	285	22	uncontrolled	uncontrolled	ADJ
ejpam-4930	285	23	value	value	NOUN
ejpam-4930	285	24	.	.	PUNCT
ejpam-4930	286	1	in	in	ADP
ejpam-4930	286	2	figs	fig	NOUN
ejpam-4930	286	3	.	.	PUNCT
ejpam-4930	286	4	14b	14b	NUM
ejpam-4930	286	5	and	and	CCONJ
ejpam-4930	286	6	14c	14c	NOUN
ejpam-4930	286	7	,	,	PUNCT
ejpam-4930	286	8	the	the	DET
ejpam-4930	286	9	jump	jump	NOUN
ejpam-4930	286	10	phenomena	phenomenon	NOUN
ejpam-4930	286	11	have	have	AUX
ejpam-4930	286	12	been	be	AUX
ejpam-4930	286	13	eliminated	eliminate	VERB
ejpam-4930	286	14	as	as	SCONJ
ejpam-4930	286	15	shown	show	VERB
ejpam-4930	286	16	and	and	CCONJ
ejpam-4930	286	17	the	the	DET
ejpam-4930	286	18	controlled	control	VERB
ejpam-4930	286	19	car	car	NOUN
ejpam-4930	286	20	’s	’s	PART
ejpam-4930	286	21	peak	peak	NOUN
ejpam-4930	286	22	displacement	displacement	NOUN
ejpam-4930	286	23	has	have	AUX
ejpam-4930	286	24	become	become	VERB
ejpam-4930	286	25	lower	low	ADJ
ejpam-4930	286	26	than	than	ADP
ejpam-4930	286	27	the	the	DET
ejpam-4930	286	28	lower	low	ADJ
ejpam-4930	286	29	amplitude	amplitude	NOUN
ejpam-4930	286	30	before	before	ADP
ejpam-4930	286	31	control	control	NOUN
ejpam-4930	286	32	.	.	PUNCT
ejpam-4930	287	1	moreover	moreover	ADV
ejpam-4930	287	2	,	,	PUNCT
ejpam-4930	287	3	fig	fig	NOUN
ejpam-4930	287	4	.	.	PUNCT
ejpam-4930	287	5	15	15	NUM
ejpam-4930	287	6	indicates	indicate	VERB
ejpam-4930	287	7	the	the	DET
ejpam-4930	287	8	time	time	NOUN
ejpam-4930	287	9	history	history	NOUN
ejpam-4930	287	10	of	of	ADP
ejpam-4930	287	11	the	the	DET
ejpam-4930	287	12	car	car	NOUN
ejpam-4930	287	13	’s	’s	PART
ejpam-4930	287	14	maximum	maximum	ADJ
ejpam-4930	287	15	displacement	displacement	NOUN
ejpam-4930	287	16	in	in	ADP
ejpam-4930	287	17	case	case	NOUN
ejpam-4930	287	18	that	that	SCONJ
ejpam-4930	287	19	σ	σ	NOUN
ejpam-4930	287	20	=	=	NOUN
ejpam-4930	287	21	0.1	0.1	NUM
ejpam-4930	287	22	and	and	CCONJ
ejpam-4930	287	23	irc	irc	PROPN
ejpam-4930	287	24	is	be	AUX
ejpam-4930	287	25	off	off	ADV
ejpam-4930	287	26	(	(	PUNCT
ejpam-4930	287	27	k	k	NOUN
ejpam-4930	287	28	=	=	NOUN
ejpam-4930	287	29	0	0	NUM
ejpam-4930	287	30	)	)	PUNCT
ejpam-4930	287	31	then	then	ADV
ejpam-4930	287	32	on	on	ADV
ejpam-4930	287	33	(	(	PUNCT
ejpam-4930	287	34	kkc	kkc	VERB
ejpam-4930	287	35	=	=	SYM
ejpam-4930	287	36	1	1	NUM
ejpam-4930	287	37	and	and	CCONJ
ejpam-4930	287	38	ωc	ωc	ADP
ejpam-4930	287	39	=	=	NOUN
ejpam-4930	287	40	0.1	0.1	NUM
ejpam-4930	287	41	)	)	PUNCT
ejpam-4930	287	42	for	for	ADP
ejpam-4930	287	43	different	different	ADJ
ejpam-4930	287	44	values	value	NOUN
ejpam-4930	287	45	of	of	ADP
ejpam-4930	287	46	f	f	PROPN
ejpam-4930	287	47	.	.	PUNCT
ejpam-4930	288	1	one	one	PRON
ejpam-4930	288	2	can	can	AUX
ejpam-4930	288	3	see	see	VERB
ejpam-4930	288	4	that	that	SCONJ
ejpam-4930	288	5	the	the	DET
ejpam-4930	288	6	car	car	NOUN
ejpam-4930	288	7	’s	’s	PART
ejpam-4930	288	8	peak	peak	NOUN
ejpam-4930	288	9	displacement	displacement	NOUN
ejpam-4930	289	1	xp	xp	INTJ
ejpam-4930	289	2	is	be	AUX
ejpam-4930	289	3	about	about	ADV
ejpam-4930	289	4	0.095	0.095	NUM
ejpam-4930	289	5	at	at	ADP
ejpam-4930	289	6	f	f	PROPN
ejpam-4930	289	7	=	=	SYM
ejpam-4930	289	8	0.06	0.06	PROPN
ejpam-4930	289	9	(	(	PUNCT
ejpam-4930	289	10	fig	fig	NOUN
ejpam-4930	289	11	.	.	PUNCT
ejpam-4930	289	12	15a	15a	NOUN
ejpam-4930	289	13	)	)	PUNCT
ejpam-4930	289	14	.	.	PUNCT
ejpam-4930	290	1	during	during	ADP
ejpam-4930	290	2	forward	forward	ADV
ejpam-4930	290	3	sweeping	sweep	VERB
ejpam-4930	290	4	in	in	ADP
ejpam-4930	290	5	fig	fig	NOUN
ejpam-4930	290	6	.	.	PUNCT
ejpam-4930	291	1	15b	15b	NOUN
ejpam-4930	291	2	,	,	PUNCT
ejpam-4930	291	3	the	the	DET
ejpam-4930	291	4	force	force	NOUN
ejpam-4930	291	5	f	f	PROPN
ejpam-4930	291	6	reaches	reach	VERB
ejpam-4930	291	7	0.15	0.15	NUM
ejpam-4930	291	8	where	where	SCONJ
ejpam-4930	291	9	xp	xp	PRON
ejpam-4930	291	10	is	be	AUX
ejpam-4930	291	11	about	about	ADV
ejpam-4930	291	12	0.34	0.34	NUM
ejpam-4930	291	13	then	then	ADV
ejpam-4930	291	14	a	a	DET
ejpam-4930	291	15	sudden	sudden	ADJ
ejpam-4930	291	16	jump	jump	NOUN
ejpam-4930	291	17	-	-	PUNCT
ejpam-4930	291	18	up	up	NOUN
ejpam-4930	291	19	happens	happen	VERB
ejpam-4930	291	20	in	in	ADP
ejpam-4930	291	21	xp	xp	INTJ
ejpam-4930	291	22	to	to	ADP
ejpam-4930	291	23	about	about	ADV
ejpam-4930	291	24	1.15	1.15	NUM
ejpam-4930	291	25	at	at	ADP
ejpam-4930	291	26	f	f	PROPN
ejpam-4930	291	27	=	=	PROPN
ejpam-4930	291	28	0.16	0.16	NUM
ejpam-4930	291	29	.	.	PUNCT
ejpam-4930	292	1	during	during	ADP
ejpam-4930	292	2	backward	backward	ADJ
ejpam-4930	292	3	sweeping	sweeping	NOUN
ejpam-4930	292	4	in	in	ADP
ejpam-4930	292	5	fig	fig	NOUN
ejpam-4930	292	6	.	.	PUNCT
ejpam-4930	292	7	15c	15c	NOUN
ejpam-4930	292	8	,	,	PUNCT
ejpam-4930	292	9	the	the	DET
ejpam-4930	292	10	car	car	NOUN
ejpam-4930	292	11	’s	’s	PART
ejpam-4930	292	12	peak	peak	NOUN
ejpam-4930	292	13	displacement	displacement	NOUN
ejpam-4930	292	14	xp	xp	INTJ
ejpam-4930	292	15	is	be	AUX
ejpam-4930	292	16	about	about	ADV
ejpam-4930	292	17	1.1	1.1	NUM
ejpam-4930	292	18	at	at	ADP
ejpam-4930	292	19	f	f	PROPN
ejpam-4930	292	20	=	=	PROPN
ejpam-4930	292	21	0.10	0.10	NUM
ejpam-4930	292	22	until	until	SCONJ
ejpam-4930	292	23	f	f	PROPN
ejpam-4930	292	24	reaches	reach	VERB
ejpam-4930	292	25	0.09	0.09	NUM
ejpam-4930	292	26	where	where	SCONJ
ejpam-4930	292	27	xp	xp	PROPN
ejpam-4930	292	28	jumps	jump	VERB
ejpam-4930	292	29	down	down	ADP
ejpam-4930	292	30	suddenly	suddenly	ADV
ejpam-4930	292	31	to	to	ADP
ejpam-4930	292	32	about	about	ADV
ejpam-4930	292	33	0.15	0.15	NUM
ejpam-4930	292	34	.	.	PUNCT
ejpam-4930	293	1	again	again	ADV
ejpam-4930	293	2	,	,	PUNCT
ejpam-4930	293	3	the	the	DET
ejpam-4930	293	4	proposed	propose	VERB
ejpam-4930	293	5	control	control	NOUN
ejpam-4930	293	6	algorithm	algorithm	PROPN
ejpam-4930	293	7	has	have	VERB
ejpam-4930	293	8	a.	a.	NOUN
ejpam-4930	293	9	kandil	kandil	PROPN
ejpam-4930	293	10	,	,	PUNCT
ejpam-4930	293	11	y.	y.	PROPN
ejpam-4930	293	12	s.	s.	PROPN
ejpam-4930	293	13	hamed	hamed	PROPN
ejpam-4930	293	14	/	/	SYM
ejpam-4930	293	15	eur	eur	PROPN
ejpam-4930	293	16	.	.	PUNCT
ejpam-4930	294	1	j.	j.	PROPN
ejpam-4930	294	2	pure	pure	PROPN
ejpam-4930	294	3	appl	appl	PROPN
ejpam-4930	294	4	.	.	PROPN
ejpam-4930	294	5	math	math	PROPN
ejpam-4930	294	6	,	,	PUNCT
ejpam-4930	294	7	16	16	NUM
ejpam-4930	294	8	(	(	PUNCT
ejpam-4930	294	9	4	4	NUM
ejpam-4930	294	10	)	)	PUNCT
ejpam-4930	294	11	(	(	PUNCT
ejpam-4930	294	12	2023	2023	NUM
ejpam-4930	294	13	)	)	PUNCT
ejpam-4930	294	14	,	,	PUNCT
ejpam-4930	294	15	2729	2729	NUM
ejpam-4930	294	16	-	-	SYM
ejpam-4930	294	17	2750	2750	NUM
ejpam-4930	294	18	2746	2746	NUM
ejpam-4930	294	19	treated	treat	VERB
ejpam-4930	294	20	the	the	DET
ejpam-4930	294	21	issue	issue	NOUN
ejpam-4930	294	22	of	of	ADP
ejpam-4930	294	23	the	the	DET
ejpam-4930	294	24	jump	jump	NOUN
ejpam-4930	294	25	phenomena	phenomenon	NOUN
ejpam-4930	294	26	as	as	SCONJ
ejpam-4930	294	27	shown	show	VERB
ejpam-4930	294	28	in	in	ADP
ejpam-4930	294	29	fig	fig	NOUN
ejpam-4930	294	30	.	.	PUNCT
ejpam-4930	295	1	15	15	NUM
ejpam-4930	295	2	where	where	SCONJ
ejpam-4930	295	3	xp	xp	PROPN
ejpam-4930	295	4	is	be	AUX
ejpam-4930	295	5	reduced	reduce	VERB
ejpam-4930	295	6	by	by	ADP
ejpam-4930	295	7	about	about	ADV
ejpam-4930	295	8	16	16	NUM
ejpam-4930	295	9	%	%	NOUN
ejpam-4930	295	10	of	of	ADP
ejpam-4930	295	11	its	its	PRON
ejpam-4930	295	12	uncontrolled	uncontrolled	ADJ
ejpam-4930	295	13	state	state	NOUN
ejpam-4930	295	14	.	.	PUNCT
ejpam-4930	296	1	figures	figure	NOUN
ejpam-4930	296	2	15b	15b	NOUN
ejpam-4930	296	3	and	and	CCONJ
ejpam-4930	296	4	c	c	PROPN
ejpam-4930	296	5	show	show	VERB
ejpam-4930	296	6	the	the	DET
ejpam-4930	296	7	elimination	elimination	NOUN
ejpam-4930	296	8	of	of	ADP
ejpam-4930	296	9	the	the	DET
ejpam-4930	296	10	jump	jump	NOUN
ejpam-4930	296	11	phenomena	phenomenon	NOUN
ejpam-4930	296	12	in	in	ADP
ejpam-4930	296	13	addition	addition	NOUN
ejpam-4930	296	14	that	that	SCONJ
ejpam-4930	296	15	xp	xp	INTJ
ejpam-4930	296	16	went	go	VERB
ejpam-4930	296	17	lower	low	ADJ
ejpam-4930	296	18	than	than	ADP
ejpam-4930	296	19	the	the	DET
ejpam-4930	296	20	uncontrolled	uncontrolled	ADJ
ejpam-4930	296	21	lower	low	ADJ
ejpam-4930	296	22	amplitude	amplitude	NOUN
ejpam-4930	296	23	.	.	PUNCT
ejpam-4930	297	1	figure	figure	NOUN
ejpam-4930	297	2	14	14	NUM
ejpam-4930	297	3	:	:	PUNCT
ejpam-4930	297	4	response	response	NOUN
ejpam-4930	297	5	of	of	ADP
ejpam-4930	297	6	the	the	DET
ejpam-4930	297	7	car	car	NOUN
ejpam-4930	297	8	’s	’s	PART
ejpam-4930	297	9	maximum	maximum	ADJ
ejpam-4930	297	10	displacement	displacement	NOUN
ejpam-4930	297	11	to	to	ADP
ejpam-4930	297	12	the	the	DET
ejpam-4930	297	13	time	time	NOUN
ejpam-4930	297	14	t	t	NOUN
ejpam-4930	297	15	in	in	ADP
ejpam-4930	297	16	case	case	NOUN
ejpam-4930	297	17	that	that	SCONJ
ejpam-4930	297	18	f	f	PROPN
ejpam-4930	297	19	=	=	PUNCT
ejpam-4930	297	20	0.06	0.06	NUM
ejpam-4930	297	21	and	and	CCONJ
ejpam-4930	297	22	irc	irc	PROPN
ejpam-4930	297	23	is	be	AUX
ejpam-4930	297	24	off	off	ADV
ejpam-4930	297	25	(	(	PUNCT
ejpam-4930	297	26	k	k	NOUN
ejpam-4930	297	27	=	=	NOUN
ejpam-4930	297	28	0	0	NUM
ejpam-4930	297	29	)	)	PUNCT
ejpam-4930	297	30	then	then	ADV
ejpam-4930	297	31	on	on	ADV
ejpam-4930	297	32	(	(	PUNCT
ejpam-4930	297	33	kkc	kkc	VERB
ejpam-4930	297	34	=	=	SYM
ejpam-4930	297	35	1	1	NUM
ejpam-4930	297	36	and	and	CCONJ
ejpam-4930	297	37	ωc	ωc	X
ejpam-4930	297	38	=	=	SYM
ejpam-4930	297	39	0.1	0.1	NUM
ejpam-4930	297	40	):	):	PUNCT
ejpam-4930	297	41	(	(	PUNCT
ejpam-4930	297	42	left	left	ADJ
ejpam-4930	297	43	)	)	PUNCT
ejpam-4930	297	44	σ	σ	PROPN
ejpam-4930	298	1	=	=	SYM
ejpam-4930	298	2	0	0	PROPN
ejpam-4930	298	3	,	,	PUNCT
ejpam-4930	298	4	(	(	PUNCT
ejpam-4930	298	5	middle	middle	ADJ
ejpam-4930	298	6	)	)	PUNCT
ejpam-4930	298	7	forward	forward	ADV
ejpam-4930	298	8	sweeping	sweeping	ADJ
ejpam-4930	298	9	of	of	ADP
ejpam-4930	298	10	σ	σ	PROPN
ejpam-4930	298	11	=	=	SYM
ejpam-4930	298	12	0.065	0.065	NUM
ejpam-4930	298	13	,	,	PUNCT
ejpam-4930	298	14	0.070	0.070	NUM
ejpam-4930	298	15	,	,	PUNCT
ejpam-4930	298	16	(	(	PUNCT
ejpam-4930	298	17	right	right	ADJ
ejpam-4930	298	18	)	)	PUNCT
ejpam-4930	298	19	backward	backward	ADV
ejpam-4930	298	20	sweeping	sweeping	ADJ
ejpam-4930	298	21	of	of	ADP
ejpam-4930	298	22	σ	σ	PROPN
ejpam-4930	298	23	=	=	PROPN
ejpam-4930	298	24	0.050	0.050	NUM
ejpam-4930	298	25	,	,	PUNCT
ejpam-4930	298	26	0.045	0.045	NUM
ejpam-4930	298	27	figure	figure	NOUN
ejpam-4930	298	28	15	15	NUM
ejpam-4930	298	29	:	:	PUNCT
ejpam-4930	298	30	response	response	NOUN
ejpam-4930	298	31	of	of	ADP
ejpam-4930	298	32	the	the	DET
ejpam-4930	298	33	car	car	NOUN
ejpam-4930	298	34	’s	’s	PART
ejpam-4930	298	35	maximum	maximum	ADJ
ejpam-4930	298	36	displacement	displacement	NOUN
ejpam-4930	298	37	to	to	ADP
ejpam-4930	298	38	the	the	DET
ejpam-4930	298	39	time	time	NOUN
ejpam-4930	298	40	t	t	NOUN
ejpam-4930	298	41	in	in	ADP
ejpam-4930	298	42	case	case	NOUN
ejpam-4930	298	43	that	that	SCONJ
ejpam-4930	298	44	σ	σ	NOUN
ejpam-4930	298	45	=	=	NOUN
ejpam-4930	298	46	0.1	0.1	NUM
ejpam-4930	298	47	and	and	CCONJ
ejpam-4930	298	48	irc	irc	PROPN
ejpam-4930	298	49	is	be	AUX
ejpam-4930	298	50	off	off	ADV
ejpam-4930	298	51	(	(	PUNCT
ejpam-4930	298	52	k	k	NOUN
ejpam-4930	298	53	=	=	NOUN
ejpam-4930	298	54	0	0	NUM
ejpam-4930	298	55	)	)	PUNCT
ejpam-4930	298	56	then	then	ADV
ejpam-4930	298	57	on	on	ADV
ejpam-4930	298	58	(	(	PUNCT
ejpam-4930	298	59	kkc	kkc	VERB
ejpam-4930	298	60	=	=	SYM
ejpam-4930	298	61	1	1	NUM
ejpam-4930	298	62	and	and	CCONJ
ejpam-4930	298	63	ωc	ωc	X
ejpam-4930	298	64	=	=	SYM
ejpam-4930	298	65	0.1	0.1	NUM
ejpam-4930	298	66	):	):	PUNCT
ejpam-4930	298	67	(	(	PUNCT
ejpam-4930	298	68	left	leave	VERB
ejpam-4930	298	69	)	)	PUNCT
ejpam-4930	298	70	f	f	PROPN
ejpam-4930	299	1	=	=	PUNCT
ejpam-4930	299	2	0.06	0.06	NUM
ejpam-4930	299	3	,	,	PUNCT
ejpam-4930	299	4	(	(	PUNCT
ejpam-4930	299	5	middle	middle	ADJ
ejpam-4930	299	6	)	)	PUNCT
ejpam-4930	299	7	forward	forward	ADV
ejpam-4930	299	8	sweeping	sweeping	ADJ
ejpam-4930	299	9	of	of	ADP
ejpam-4930	299	10	f	f	PROPN
ejpam-4930	299	11	=	=	SYM
ejpam-4930	299	12	0.15	0.15	NUM
ejpam-4930	299	13	,	,	PUNCT
ejpam-4930	299	14	0.16	0.16	NUM
ejpam-4930	299	15	,	,	PUNCT
ejpam-4930	299	16	(	(	PUNCT
ejpam-4930	299	17	right	right	ADJ
ejpam-4930	299	18	)	)	PUNCT
ejpam-4930	299	19	backward	backward	ADJ
ejpam-4930	299	20	sweeping	sweeping	ADJ
ejpam-4930	299	21	of	of	ADP
ejpam-4930	299	22	f	f	PROPN
ejpam-4930	299	23	=	=	PROPN
ejpam-4930	299	24	0.10	0.10	NUM
ejpam-4930	299	25	,	,	PUNCT
ejpam-4930	299	26	0.09	0.09	NUM
ejpam-4930	299	27	5	5	NUM
ejpam-4930	299	28	.	.	PUNCT
ejpam-4930	299	29	concluding	conclude	VERB
ejpam-4930	299	30	remarks	remark	NOUN
ejpam-4930	299	31	in	in	ADP
ejpam-4930	299	32	this	this	DET
ejpam-4930	299	33	paper	paper	NOUN
ejpam-4930	299	34	,	,	PUNCT
ejpam-4930	299	35	a	a	DET
ejpam-4930	299	36	horizontally	horizontally	ADV
ejpam-4930	299	37	-	-	PUNCT
ejpam-4930	299	38	supported	support	VERB
ejpam-4930	299	39	car	car	NOUN
ejpam-4930	299	40	’s	’s	PART
ejpam-4930	299	41	motion	motion	NOUN
ejpam-4930	299	42	has	have	AUX
ejpam-4930	299	43	been	be	AUX
ejpam-4930	299	44	modeled	model	VERB
ejpam-4930	299	45	under	under	ADP
ejpam-4930	299	46	the	the	DET
ejpam-4930	299	47	effect	effect	NOUN
ejpam-4930	299	48	of	of	ADP
ejpam-4930	299	49	a	a	DET
ejpam-4930	299	50	nonlinear	nonlinear	ADJ
ejpam-4930	299	51	spring	spring	NOUN
ejpam-4930	299	52	,	,	PUNCT
ejpam-4930	299	53	a	a	DET
ejpam-4930	299	54	damper	damper	NOUN
ejpam-4930	299	55	,	,	PUNCT
ejpam-4930	299	56	and	and	CCONJ
ejpam-4930	299	57	a	a	DET
ejpam-4930	299	58	harmonic	harmonic	ADJ
ejpam-4930	299	59	excitation	excitation	NOUN
ejpam-4930	299	60	external	external	ADJ
ejpam-4930	299	61	force	force	NOUN
ejpam-4930	299	62	.	.	PUNCT
ejpam-4930	300	1	the	the	DET
ejpam-4930	300	2	car	car	NOUN
ejpam-4930	300	3	’s	’s	PART
ejpam-4930	300	4	oscillations	oscillation	NOUN
ejpam-4930	300	5	were	be	AUX
ejpam-4930	300	6	controlled	control	VERB
ejpam-4930	300	7	via	via	ADP
ejpam-4930	300	8	an	an	DET
ejpam-4930	300	9	integral	integral	ADJ
ejpam-4930	300	10	resonant	resonant	ADJ
ejpam-4930	300	11	controller	controller	NOUN
ejpam-4930	300	12	whose	whose	DET
ejpam-4930	300	13	operation	operation	NOUN
ejpam-4930	300	14	was	be	AUX
ejpam-4930	300	15	built	build	VERB
ejpam-4930	300	16	on	on	ADP
ejpam-4930	300	17	a	a	DET
ejpam-4930	300	18	linear	linear	ADJ
ejpam-4930	300	19	variable	variable	ADJ
ejpam-4930	300	20	differential	differential	NOUN
ejpam-4930	300	21	transformer	transformer	NOUN
ejpam-4930	300	22	and	and	CCONJ
ejpam-4930	300	23	a	a	DET
ejpam-4930	300	24	servo	servo	NOUN
ejpam-4930	300	25	-	-	PUNCT
ejpam-4930	300	26	controlled	control	VERB
ejpam-4930	300	27	linear	linear	ADJ
ejpam-4930	300	28	actuator	actuator	NOUN
ejpam-4930	300	29	.	.	PUNCT
ejpam-4930	301	1	the	the	DET
ejpam-4930	301	2	multiple	multiple	ADJ
ejpam-4930	301	3	scales	scale	VERB
ejpam-4930	301	4	perturbation	perturbation	NOUN
ejpam-4930	301	5	technique	technique	NOUN
ejpam-4930	301	6	was	be	AUX
ejpam-4930	301	7	adopted	adopt	VERB
ejpam-4930	301	8	to	to	PART
ejpam-4930	301	9	seek	seek	VERB
ejpam-4930	301	10	an	an	DET
ejpam-4930	301	11	approximate	approximate	ADJ
ejpam-4930	301	12	solution	solution	NOUN
ejpam-4930	301	13	of	of	ADP
ejpam-4930	301	14	the	the	DET
ejpam-4930	301	15	proposed	propose	VERB
ejpam-4930	301	16	nonlinear	nonlinear	ADJ
ejpam-4930	301	17	system	system	NOUN
ejpam-4930	301	18	of	of	ADP
ejpam-4930	301	19	equations	equation	NOUN
ejpam-4930	301	20	.	.	PUNCT
ejpam-4930	302	1	in	in	ADP
ejpam-4930	302	2	addition	addition	NOUN
ejpam-4930	302	3	,	,	PUNCT
ejpam-4930	302	4	a	a	DET
ejpam-4930	302	5	stability	stability	NOUN
ejpam-4930	302	6	analysis	analysis	NOUN
ejpam-4930	302	7	was	be	AUX
ejpam-4930	302	8	achieved	achieve	VERB
ejpam-4930	302	9	in	in	ADP
ejpam-4930	302	10	order	order	NOUN
ejpam-4930	302	11	to	to	PART
ejpam-4930	302	12	determine	determine	VERB
ejpam-4930	302	13	whether	whether	SCONJ
ejpam-4930	302	14	the	the	DET
ejpam-4930	302	15	extracted	extract	VERB
ejpam-4930	302	16	approximate	approximate	ADJ
ejpam-4930	302	17	solution	solution	NOUN
ejpam-4930	302	18	was	be	AUX
ejpam-4930	302	19	stable	stable	ADJ
ejpam-4930	302	20	or	or	CCONJ
ejpam-4930	302	21	unstable	unstable	ADJ
ejpam-4930	302	22	.	.	PUNCT
ejpam-4930	303	1	several	several	ADJ
ejpam-4930	303	2	response	response	NOUN
ejpam-4930	303	3	curves	curve	NOUN
ejpam-4930	303	4	were	be	AUX
ejpam-4930	303	5	plotted	plot	VERB
ejpam-4930	303	6	for	for	ADP
ejpam-4930	303	7	clarifying	clarify	VERB
ejpam-4930	303	8	the	the	DET
ejpam-4930	303	9	concept	concept	NOUN
ejpam-4930	303	10	of	of	ADP
ejpam-4930	303	11	the	the	DET
ejpam-4930	303	12	proposed	propose	VERB
ejpam-4930	303	13	control	control	NOUN
ejpam-4930	303	14	algorithm	algorithm	NOUN
ejpam-4930	303	15	.	.	PUNCT
ejpam-4930	304	1	regarding	regard	VERB
ejpam-4930	304	2	the	the	DET
ejpam-4930	304	3	numerical	numerical	ADJ
ejpam-4930	304	4	simulation	simulation	NOUN
ejpam-4930	304	5	of	of	ADP
ejpam-4930	304	6	the	the	DET
ejpam-4930	304	7	car	car	NOUN
ejpam-4930	304	8	’s	’s	PART
ejpam-4930	304	9	motion	motion	NOUN
ejpam-4930	304	10	,	,	PUNCT
ejpam-4930	304	11	the	the	DET
ejpam-4930	304	12	runge	runge	NOUN
ejpam-4930	304	13	-	-	PUNCT
ejpam-4930	304	14	kutta	kutta	NOUN
ejpam-4930	304	15	technique	technique	NOUN
ejpam-4930	304	16	was	be	AUX
ejpam-4930	304	17	used	use	VERB
ejpam-4930	304	18	in	in	ADP
ejpam-4930	304	19	order	order	NOUN
ejpam-4930	304	20	to	to	PART
ejpam-4930	304	21	integrate	integrate	VERB
ejpam-4930	304	22	the	the	DET
ejpam-4930	304	23	model	model	NOUN
ejpam-4930	304	24	equations	equation	NOUN
ejpam-4930	304	25	numerically	numerically	ADV
ejpam-4930	304	26	.	.	PUNCT
ejpam-4930	305	1	based	base	VERB
ejpam-4930	305	2	upon	upon	SCONJ
ejpam-4930	305	3	the	the	DET
ejpam-4930	305	4	gained	gain	VERB
ejpam-4930	305	5	results	result	NOUN
ejpam-4930	305	6	of	of	ADP
ejpam-4930	305	7	this	this	DET
ejpam-4930	305	8	work	work	NOUN
ejpam-4930	305	9	,	,	PUNCT
ejpam-4930	305	10	we	we	PRON
ejpam-4930	305	11	have	have	AUX
ejpam-4930	305	12	concluded	conclude	VERB
ejpam-4930	305	13	some	some	DET
ejpam-4930	305	14	summarized	summarize	VERB
ejpam-4930	305	15	remarks	remark	NOUN
ejpam-4930	305	16	.	.	PUNCT
ejpam-4930	306	1	the	the	DET
ejpam-4930	306	2	car	car	NOUN
ejpam-4930	306	3	’s	’s	PART
ejpam-4930	306	4	damping	damp	VERB
ejpam-4930	306	5	behavior	behavior	NOUN
ejpam-4930	306	6	could	could	AUX
ejpam-4930	306	7	be	be	AUX
ejpam-4930	306	8	enhanced	enhance	VERB
ejpam-4930	306	9	by	by	ADP
ejpam-4930	306	10	adjusting	adjust	VERB
ejpam-4930	306	11	the	the	DET
ejpam-4930	306	12	control	control	NOUN
ejpam-4930	306	13	rate	rate	NOUN
ejpam-4930	306	14	ωc	ωc	X
ejpam-4930	306	15	to	to	PART
ejpam-4930	306	16	be	be	AUX
ejpam-4930	306	17	zero	zero	NUM
ejpam-4930	306	18	(	(	PUNCT
ejpam-4930	306	19	theoretically	theoretically	ADV
ejpam-4930	306	20	)	)	PUNCT
ejpam-4930	306	21	.	.	PUNCT
ejpam-4930	307	1	in	in	ADP
ejpam-4930	307	2	addition	addition	NOUN
ejpam-4930	307	3	,	,	PUNCT
ejpam-4930	307	4	this	this	DET
ejpam-4930	307	5	performance	performance	NOUN
ejpam-4930	307	6	could	could	AUX
ejpam-4930	307	7	be	be	AUX
ejpam-4930	307	8	also	also	ADV
ejpam-4930	307	9	enhanced	enhance	VERB
ejpam-4930	307	10	by	by	ADP
ejpam-4930	307	11	raising	raise	VERB
ejpam-4930	307	12	the	the	DET
ejpam-4930	307	13	product	product	NOUN
ejpam-4930	307	14	kkc	kkc	VERB
ejpam-4930	307	15	to	to	ADP
ejpam-4930	307	16	1.0	1.0	NUM
ejpam-4930	307	17	which	which	PRON
ejpam-4930	307	18	was	be	AUX
ejpam-4930	307	19	an	an	DET
ejpam-4930	307	20	acceptable	acceptable	ADJ
ejpam-4930	307	21	value	value	NOUN
ejpam-4930	307	22	for	for	ADP
ejpam-4930	307	23	guaranteeing	guarantee	VERB
ejpam-4930	307	24	a	a	DET
ejpam-4930	307	25	better	well	ADV
ejpam-4930	307	26	damping	damp	VERB
ejpam-4930	307	27	performance	performance	NOUN
ejpam-4930	307	28	.	.	PUNCT
ejpam-4930	308	1	references	reference	NOUN
ejpam-4930	308	2	2747	2747	NUM
ejpam-4930	308	3	another	another	DET
ejpam-4930	308	4	advantage	advantage	NOUN
ejpam-4930	308	5	appeared	appear	VERB
ejpam-4930	308	6	at	at	ADP
ejpam-4930	308	7	the	the	DET
ejpam-4930	308	8	optimum	optimum	ADJ
ejpam-4930	308	9	values	value	NOUN
ejpam-4930	308	10	of	of	ADP
ejpam-4930	308	11	kkc	kkc	NOUN
ejpam-4930	308	12	and	and	CCONJ
ejpam-4930	308	13	ωc	ωc	INTJ
ejpam-4930	308	14	which	which	PRON
ejpam-4930	308	15	was	be	AUX
ejpam-4930	308	16	the	the	DET
ejpam-4930	308	17	elimination	elimination	NOUN
ejpam-4930	308	18	of	of	ADP
ejpam-4930	308	19	the	the	DET
ejpam-4930	308	20	jump	jump	NOUN
ejpam-4930	308	21	phenomena	phenomenon	NOUN
ejpam-4930	308	22	and	and	CCONJ
ejpam-4930	308	23	the	the	DET
ejpam-4930	308	24	unstable	unstable	ADJ
ejpam-4930	308	25	regions	region	NOUN
ejpam-4930	308	26	of	of	ADP
ejpam-4930	308	27	the	the	DET
ejpam-4930	308	28	response	response	NOUN
ejpam-4930	308	29	curves	curve	NOUN
ejpam-4930	308	30	(	(	PUNCT
ejpam-4930	308	31	frequency	frequency	NOUN
ejpam-4930	308	32	or	or	CCONJ
ejpam-4930	308	33	force	force	NOUN
ejpam-4930	308	34	response	response	NOUN
ejpam-4930	308	35	curves	curve	NOUN
ejpam-4930	308	36	)	)	PUNCT
ejpam-4930	308	37	.	.	PUNCT
ejpam-4930	309	1	based	base	VERB
ejpam-4930	309	2	on	on	ADP
ejpam-4930	309	3	a	a	DET
ejpam-4930	309	4	stability	stability	NOUN
ejpam-4930	309	5	analysis	analysis	NOUN
ejpam-4930	309	6	of	of	ADP
ejpam-4930	309	7	the	the	DET
ejpam-4930	309	8	original	original	ADJ
ejpam-4930	309	9	model	model	NOUN
ejpam-4930	309	10	equations	equation	NOUN
ejpam-4930	309	11	,	,	PUNCT
ejpam-4930	309	12	the	the	DET
ejpam-4930	309	13	control	control	NOUN
ejpam-4930	309	14	rate	rate	NOUN
ejpam-4930	309	15	ωc	ωc	INTJ
ejpam-4930	309	16	should	should	AUX
ejpam-4930	309	17	have	have	VERB
ejpam-4930	309	18	the	the	DET
ejpam-4930	309	19	minimum	minimum	ADJ
ejpam-4930	309	20	value	value	NOUN
ejpam-4930	309	21	0.1	0.1	NUM
ejpam-4930	309	22	(	(	PUNCT
ejpam-4930	309	23	practically	practically	ADV
ejpam-4930	309	24	)	)	PUNCT
ejpam-4930	309	25	if	if	SCONJ
ejpam-4930	309	26	the	the	DET
ejpam-4930	309	27	product	product	NOUN
ejpam-4930	309	28	kkc	kkc	VERB
ejpam-4930	309	29	=	=	SYM
ejpam-4930	309	30	1.0	1.0	NUM
ejpam-4930	309	31	and	and	CCONJ
ejpam-4930	309	32	ω2	ω2	ADJ
ejpam-4930	309	33	=	=	SYM
ejpam-4930	309	34	10	10	NUM
ejpam-4930	309	35	.	.	PUNCT
ejpam-4930	310	1	the	the	DET
ejpam-4930	310	2	proposed	propose	VERB
ejpam-4930	310	3	control	control	NOUN
ejpam-4930	310	4	algorithm	algorithm	PROPN
ejpam-4930	310	5	treated	treat	VERB
ejpam-4930	310	6	the	the	DET
ejpam-4930	310	7	car	car	NOUN
ejpam-4930	310	8	’s	’s	PART
ejpam-4930	310	9	amplitude	amplitude	NOUN
ejpam-4930	310	10	severe	severe	ADJ
ejpam-4930	310	11	jumps	jump	VERB
ejpam-4930	310	12	where	where	SCONJ
ejpam-4930	310	13	it	it	PRON
ejpam-4930	310	14	was	be	AUX
ejpam-4930	310	15	being	be	AUX
ejpam-4930	310	16	suppressed	suppress	VERB
ejpam-4930	310	17	at	at	ADP
ejpam-4930	310	18	different	different	ADJ
ejpam-4930	310	19	conditions	condition	NOUN
ejpam-4930	310	20	of	of	ADP
ejpam-4930	310	21	forward	forward	ADV
ejpam-4930	310	22	and	and	CCONJ
ejpam-4930	310	23	backward	backward	ADJ
ejpam-4930	310	24	sweeping	sweeping	NOUN
ejpam-4930	310	25	of	of	ADP
ejpam-4930	310	26	the	the	DET
ejpam-4930	310	27	parameters	parameter	NOUN
ejpam-4930	310	28	σ	σ	PROPN
ejpam-4930	310	29	and	and	CCONJ
ejpam-4930	310	30	f	f	PROPN
ejpam-4930	310	31	.	.	PUNCT
ejpam-4930	311	1	acknowledgements	acknowledgement	VERB
ejpam-4930	311	2	the	the	DET
ejpam-4930	311	3	researchers	researcher	NOUN
ejpam-4930	311	4	would	would	AUX
ejpam-4930	311	5	like	like	VERB
ejpam-4930	311	6	to	to	PART
ejpam-4930	311	7	acknowledge	acknowledge	VERB
ejpam-4930	311	8	the	the	DET
ejpam-4930	311	9	deanship	deanship	NOUN
ejpam-4930	311	10	of	of	ADP
ejpam-4930	311	11	scientific	scientific	ADJ
ejpam-4930	311	12	research	research	NOUN
ejpam-4930	311	13	,	,	PUNCT
ejpam-4930	311	14	taif	taif	PROPN
ejpam-4930	311	15	university	university	PROPN
ejpam-4930	311	16	for	for	ADP
ejpam-4930	311	17	funding	fund	VERB
ejpam-4930	311	18	this	this	DET
ejpam-4930	311	19	work	work	NOUN
ejpam-4930	311	20	.	.	PUNCT
ejpam-4930	312	1	declaration	declaration	NOUN
ejpam-4930	312	2	of	of	ADP
ejpam-4930	312	3	conflicting	conflicting	ADJ
ejpam-4930	312	4	interests	interest	NOUN
ejpam-4930	312	5	the	the	DET
ejpam-4930	312	6	authors	author	NOUN
ejpam-4930	312	7	declared	declare	VERB
ejpam-4930	312	8	no	no	DET
ejpam-4930	312	9	potential	potential	ADJ
ejpam-4930	312	10	conflicts	conflict	NOUN
ejpam-4930	312	11	of	of	ADP
ejpam-4930	312	12	interest	interest	NOUN
ejpam-4930	312	13	with	with	ADP
ejpam-4930	312	14	respect	respect	NOUN
ejpam-4930	312	15	to	to	ADP
ejpam-4930	312	16	the	the	DET
ejpam-4930	312	17	research	research	NOUN
ejpam-4930	312	18	,	,	PUNCT
ejpam-4930	312	19	authorship	authorship	NOUN
ejpam-4930	312	20	,	,	PUNCT
ejpam-4930	312	21	and/or	and/or	CCONJ
ejpam-4930	312	22	publication	publication	NOUN
ejpam-4930	312	23	of	of	ADP
ejpam-4930	312	24	this	this	DET
ejpam-4930	312	25	article	article	NOUN
ejpam-4930	312	26	.	.	PUNCT
ejpam-4930	313	1	references	reference	NOUN
ejpam-4930	313	2	[	[	X
ejpam-4930	313	3	1	1	X
ejpam-4930	313	4	]	]	X
ejpam-4930	313	5	abdullah	abdullah	PROPN
ejpam-4930	313	6	al	al	PROPN
ejpam-4930	313	7	-	-	PUNCT
ejpam-4930	313	8	mamun	mamun	PROPN
ejpam-4930	313	9	,	,	PUNCT
ejpam-4930	313	10	ehsan	ehsan	PROPN
ejpam-4930	313	11	keikha	keikha	PROPN
ejpam-4930	313	12	,	,	PUNCT
ejpam-4930	313	13	charanjit	charanjit	VERB
ejpam-4930	313	14	singh	singh	PROPN
ejpam-4930	313	15	bhatia	bhatia	PROPN
ejpam-4930	313	16	,	,	PUNCT
ejpam-4930	313	17	and	and	CCONJ
ejpam-4930	313	18	tong	tong	PROPN
ejpam-4930	313	19	heng	heng	PROPN
ejpam-4930	313	20	lee	lee	PROPN
ejpam-4930	313	21	.	.	PROPN
ejpam-4930	314	1	integral	integral	ADJ
ejpam-4930	314	2	resonant	resonant	ADJ
ejpam-4930	314	3	control	control	NOUN
ejpam-4930	314	4	for	for	ADP
ejpam-4930	314	5	suppression	suppression	NOUN
ejpam-4930	314	6	of	of	ADP
ejpam-4930	314	7	resonance	resonance	NOUN
ejpam-4930	314	8	in	in	ADP
ejpam-4930	314	9	piezoelectric	piezoelectric	ADJ
ejpam-4930	314	10	micro	micro	NOUN
ejpam-4930	314	11	-	-	NOUN
ejpam-4930	314	12	actuator	actuator	NOUN
ejpam-4930	314	13	used	use	VERB
ejpam-4930	314	14	in	in	ADP
ejpam-4930	314	15	precision	precision	NOUN
ejpam-4930	314	16	servomechanism	servomechanism	NOUN
ejpam-4930	314	17	.	.	PUNCT
ejpam-4930	315	1	mechatronics	mechatronic	NOUN
ejpam-4930	315	2	,	,	PUNCT
ejpam-4930	315	3	23(1):1–9	23(1):1–9	NUM
ejpam-4930	315	4	,	,	PUNCT
ejpam-4930	315	5	2013	2013	NUM
ejpam-4930	315	6	.	.	PUNCT
ejpam-4930	316	1	[	[	X
ejpam-4930	316	2	2	2	NUM
ejpam-4930	316	3	]	]	X
ejpam-4930	316	4	sumeet	sumeet	PROPN
ejpam-4930	316	5	s	s	PROPN
ejpam-4930	316	6	aphale	aphale	PROPN
ejpam-4930	316	7	,	,	PUNCT
ejpam-4930	316	8	andrew	andrew	PROPN
ejpam-4930	316	9	j	j	PROPN
ejpam-4930	316	10	fleming	fleming	PROPN
ejpam-4930	316	11	,	,	PUNCT
ejpam-4930	316	12	and	and	CCONJ
ejpam-4930	316	13	so	so	ADV
ejpam-4930	316	14	reza	reza	PROPN
ejpam-4930	316	15	moheimani	moheimani	PROPN
ejpam-4930	316	16	.	.	PUNCT
ejpam-4930	317	1	integral	integral	ADJ
ejpam-4930	317	2	resonant	resonant	ADJ
ejpam-4930	317	3	control	control	NOUN
ejpam-4930	317	4	of	of	ADP
ejpam-4930	317	5	collocated	collocated	ADJ
ejpam-4930	317	6	smart	smart	ADJ
ejpam-4930	317	7	structures	structure	NOUN
ejpam-4930	317	8	.	.	PUNCT
ejpam-4930	318	1	smart	smart	ADJ
ejpam-4930	318	2	materials	material	NOUN
ejpam-4930	318	3	and	and	CCONJ
ejpam-4930	318	4	structures	structure	NOUN
ejpam-4930	318	5	,	,	PUNCT
ejpam-4930	318	6	16(2):439	16(2):439	NUM
ejpam-4930	318	7	,	,	PUNCT
ejpam-4930	318	8	2007	2007	NUM
ejpam-4930	318	9	.	.	PUNCT
ejpam-4930	319	1	[	[	X
ejpam-4930	319	2	3	3	X
ejpam-4930	319	3	]	]	PUNCT
ejpam-4930	319	4	hany	hany	ADJ
ejpam-4930	319	5	bauomy	bauomy	NOUN
ejpam-4930	319	6	and	and	CCONJ
ejpam-4930	319	7	ashraf	ashraf	PROPN
ejpam-4930	319	8	taha	taha	PROPN
ejpam-4930	319	9	.	.	PUNCT
ejpam-4930	320	1	nonlinear	nonlinear	ADJ
ejpam-4930	320	2	saturation	saturation	NOUN
ejpam-4930	320	3	controller	controller	NOUN
ejpam-4930	320	4	simulation	simulation	NOUN
ejpam-4930	320	5	for	for	ADP
ejpam-4930	320	6	reducing	reduce	VERB
ejpam-4930	320	7	the	the	DET
ejpam-4930	320	8	high	high	ADJ
ejpam-4930	320	9	vibrations	vibration	NOUN
ejpam-4930	320	10	of	of	ADP
ejpam-4930	320	11	a	a	DET
ejpam-4930	320	12	dynamical	dynamical	ADJ
ejpam-4930	320	13	system	system	NOUN
ejpam-4930	320	14	.	.	PUNCT
ejpam-4930	321	1	math	math	NOUN
ejpam-4930	321	2	.	.	PUNCT
ejpam-4930	322	1	biosci	biosci	PROPN
ejpam-4930	322	2	.	.	PUNCT
ejpam-4930	323	1	eng	eng	PROPN
ejpam-4930	323	2	,	,	PUNCT
ejpam-4930	323	3	19:3487–3508	19:3487–3508	NUM
ejpam-4930	323	4	,	,	PUNCT
ejpam-4930	323	5	2022	2022	NUM
ejpam-4930	323	6	.	.	PUNCT
ejpam-4930	324	1	[	[	X
ejpam-4930	324	2	4	4	X
ejpam-4930	324	3	]	]	X
ejpam-4930	324	4	klaas	klaas	PROPN
ejpam-4930	324	5	b	b	PROPN
ejpam-4930	324	6	bronkhorst	bronkhorst	PROPN
ejpam-4930	324	7	,	,	PUNCT
ejpam-4930	324	8	mariano	mariano	PROPN
ejpam-4930	324	9	febbo	febbo	PROPN
ejpam-4930	324	10	,	,	PUNCT
ejpam-4930	324	11	eduardo	eduardo	PROPN
ejpam-4930	324	12	mo	mo	PROPN
ejpam-4930	324	13	lopes	lopes	PROPN
ejpam-4930	324	14	,	,	PUNCT
ejpam-4930	324	15	and	and	CCONJ
ejpam-4930	324	16	carlos	carlos	PROPN
ejpam-4930	324	17	a	a	DET
ejpam-4930	324	18	bavastri	bavastri	NOUN
ejpam-4930	324	19	.	.	PUNCT
ejpam-4930	325	1	experimental	experimental	ADJ
ejpam-4930	325	2	implementation	implementation	NOUN
ejpam-4930	325	3	of	of	ADP
ejpam-4930	325	4	an	an	DET
ejpam-4930	325	5	optimum	optimum	ADJ
ejpam-4930	325	6	viscoelastic	viscoelastic	NOUN
ejpam-4930	325	7	vibration	vibration	NOUN
ejpam-4930	325	8	absorber	absorber	NOUN
ejpam-4930	325	9	for	for	ADP
ejpam-4930	325	10	cubic	cubic	ADJ
ejpam-4930	325	11	nonlinear	nonlinear	ADJ
ejpam-4930	325	12	systems	system	NOUN
ejpam-4930	325	13	.	.	PUNCT
ejpam-4930	326	1	engineering	engineering	NOUN
ejpam-4930	326	2	structures	structure	NOUN
ejpam-4930	326	3	,	,	PUNCT
ejpam-4930	326	4	163:323–331	163:323–331	NUM
ejpam-4930	326	5	,	,	PUNCT
ejpam-4930	326	6	2018	2018	NUM
ejpam-4930	326	7	.	.	PUNCT
ejpam-4930	327	1	[	[	X
ejpam-4930	327	2	5	5	X
ejpam-4930	327	3	]	]	PUNCT
ejpam-4930	327	4	ivan	ivan	PROPN
ejpam-4930	327	5	m	m	PROPN
ejpam-4930	327	6	diaz	diaz	PROPN
ejpam-4930	327	7	,	,	PUNCT
ejpam-4930	327	8	emiliano	emiliano	PROPN
ejpam-4930	327	9	pereira	pereira	PROPN
ejpam-4930	327	10	,	,	PUNCT
ejpam-4930	327	11	and	and	CCONJ
ejpam-4930	327	12	paul	paul	PROPN
ejpam-4930	327	13	reynolds	reynolds	PROPN
ejpam-4930	327	14	.	.	PUNCT
ejpam-4930	328	1	integral	integral	ADJ
ejpam-4930	328	2	resonant	resonant	ADJ
ejpam-4930	328	3	control	control	NOUN
ejpam-4930	328	4	scheme	scheme	NOUN
ejpam-4930	328	5	for	for	ADP
ejpam-4930	328	6	cancelling	cancel	VERB
ejpam-4930	328	7	human	human	NOUN
ejpam-4930	328	8	-	-	PUNCT
ejpam-4930	328	9	induced	induce	VERB
ejpam-4930	328	10	vibrations	vibration	NOUN
ejpam-4930	328	11	in	in	ADP
ejpam-4930	328	12	light	light	ADJ
ejpam-4930	328	13	-	-	PUNCT
ejpam-4930	328	14	weight	weight	NOUN
ejpam-4930	328	15	pedestrian	pedestrian	NOUN
ejpam-4930	328	16	structures	structure	NOUN
ejpam-4930	328	17	.	.	PUNCT
ejpam-4930	329	1	structural	structural	ADJ
ejpam-4930	329	2	control	control	NOUN
ejpam-4930	329	3	and	and	CCONJ
ejpam-4930	329	4	health	health	NOUN
ejpam-4930	329	5	monitoring	monitoring	NOUN
ejpam-4930	329	6	,	,	PUNCT
ejpam-4930	329	7	19(1):55–69	19(1):55–69	NUM
ejpam-4930	329	8	,	,	PUNCT
ejpam-4930	329	9	2012	2012	NUM
ejpam-4930	329	10	.	.	PUNCT
ejpam-4930	330	1	[	[	X
ejpam-4930	330	2	6	6	NUM
ejpam-4930	330	3	]	]	SYM
ejpam-4930	330	4	iván	iván	PROPN
ejpam-4930	330	5	m	m	NOUN
ejpam-4930	330	6	dı́az	dı́az	NOUN
ejpam-4930	330	7	and	and	CCONJ
ejpam-4930	330	8	paul	paul	PROPN
ejpam-4930	330	9	reynolds	reynolds	PROPN
ejpam-4930	330	10	.	.	PUNCT
ejpam-4930	331	1	robust	robust	ADJ
ejpam-4930	331	2	saturated	saturate	VERB
ejpam-4930	331	3	control	control	NOUN
ejpam-4930	331	4	of	of	ADP
ejpam-4930	331	5	human	human	NOUN
ejpam-4930	331	6	-	-	PUNCT
ejpam-4930	331	7	induced	induce	VERB
ejpam-4930	331	8	floor	floor	NOUN
ejpam-4930	331	9	vibrations	vibration	NOUN
ejpam-4930	331	10	via	via	ADP
ejpam-4930	331	11	a	a	DET
ejpam-4930	331	12	proof	proof	ADJ
ejpam-4930	331	13	-	-	PUNCT
ejpam-4930	331	14	mass	mass	ADJ
ejpam-4930	331	15	actuator	actuator	NOUN
ejpam-4930	331	16	.	.	PUNCT
ejpam-4930	332	1	smart	smart	ADJ
ejpam-4930	332	2	materials	material	NOUN
ejpam-4930	332	3	and	and	CCONJ
ejpam-4930	332	4	structures	structure	NOUN
ejpam-4930	332	5	,	,	PUNCT
ejpam-4930	332	6	18(12):125024	18(12):125024	NUM
ejpam-4930	332	7	,	,	PUNCT
ejpam-4930	332	8	2009	2009	NUM
ejpam-4930	332	9	.	.	PUNCT
ejpam-4930	333	1	references	reference	NOUN
ejpam-4930	333	2	2748	2748	NUM
ejpam-4930	333	3	[	[	X
ejpam-4930	333	4	7	7	NUM
ejpam-4930	333	5	]	]	X
ejpam-4930	333	6	mariano	mariano	PROPN
ejpam-4930	333	7	febbo	febbo	PROPN
ejpam-4930	333	8	.	.	PUNCT
ejpam-4930	334	1	harmonic	harmonic	ADJ
ejpam-4930	334	2	response	response	NOUN
ejpam-4930	334	3	of	of	ADP
ejpam-4930	334	4	a	a	DET
ejpam-4930	334	5	class	class	NOUN
ejpam-4930	334	6	of	of	ADP
ejpam-4930	334	7	finite	finite	ADJ
ejpam-4930	334	8	extensibility	extensibility	NOUN
ejpam-4930	334	9	nonlinear	nonlinear	ADJ
ejpam-4930	334	10	oscillators	oscillator	NOUN
ejpam-4930	334	11	.	.	PUNCT
ejpam-4930	335	1	physica	physica	PROPN
ejpam-4930	335	2	scripta	scripta	PROPN
ejpam-4930	335	3	,	,	PUNCT
ejpam-4930	335	4	83(6):065009	83(6):065009	NUM
ejpam-4930	335	5	,	,	PUNCT
ejpam-4930	335	6	2011	2011	NUM
ejpam-4930	335	7	.	.	PUNCT
ejpam-4930	336	1	[	[	X
ejpam-4930	336	2	8	8	NUM
ejpam-4930	336	3	]	]	X
ejpam-4930	336	4	mariano	mariano	PROPN
ejpam-4930	336	5	febbo	febbo	PROPN
ejpam-4930	336	6	and	and	CCONJ
ejpam-4930	336	7	jinchen	jinchen	PROPN
ejpam-4930	336	8	ji	ji	PROPN
ejpam-4930	336	9	.	.	PROPN
ejpam-4930	337	1	on	on	ADP
ejpam-4930	337	2	the	the	DET
ejpam-4930	337	3	critical	critical	ADJ
ejpam-4930	337	4	forcing	force	VERB
ejpam-4930	337	5	amplitude	amplitude	NOUN
ejpam-4930	337	6	of	of	ADP
ejpam-4930	337	7	forced	force	VERB
ejpam-4930	337	8	nonlinear	nonlinear	ADJ
ejpam-4930	337	9	oscillators	oscillator	NOUN
ejpam-4930	337	10	.	.	PUNCT
ejpam-4930	338	1	open	open	ADJ
ejpam-4930	338	2	engineering	engineering	NOUN
ejpam-4930	338	3	,	,	PUNCT
ejpam-4930	338	4	3(4):764–770	3(4):764–770	NOUN
ejpam-4930	338	5	,	,	PUNCT
ejpam-4930	338	6	2013	2013	NUM
ejpam-4930	338	7	.	.	PUNCT
ejpam-4930	339	1	[	[	X
ejpam-4930	339	2	9	9	NUM
ejpam-4930	339	3	]	]	X
ejpam-4930	339	4	xiaofeng	xiaofeng	PROPN
ejpam-4930	339	5	geng	geng	PROPN
ejpam-4930	339	6	,	,	PUNCT
ejpam-4930	339	7	hu	hu	PROPN
ejpam-4930	339	8	ding	ding	PROPN
ejpam-4930	339	9	,	,	PUNCT
ejpam-4930	339	10	xingjian	xingjian	PROPN
ejpam-4930	339	11	jing	jing	PROPN
ejpam-4930	339	12	,	,	PUNCT
ejpam-4930	339	13	xiaoye	xiaoye	PROPN
ejpam-4930	339	14	mao	mao	PROPN
ejpam-4930	339	15	,	,	PUNCT
ejpam-4930	339	16	kexiang	kexiang	PROPN
ejpam-4930	339	17	wei	wei	PROPN
ejpam-4930	339	18	,	,	PUNCT
ejpam-4930	339	19	and	and	CCONJ
ejpam-4930	339	20	liqun	liqun	PROPN
ejpam-4930	339	21	chen	chen	PROPN
ejpam-4930	339	22	.	.	PUNCT
ejpam-4930	340	1	dynamic	dynamic	ADJ
ejpam-4930	340	2	design	design	NOUN
ejpam-4930	340	3	of	of	ADP
ejpam-4930	340	4	a	a	DET
ejpam-4930	340	5	magnetic	magnetic	ADV
ejpam-4930	340	6	-	-	PUNCT
ejpam-4930	340	7	enhanced	enhance	VERB
ejpam-4930	340	8	nonlinear	nonlinear	ADJ
ejpam-4930	340	9	energy	energy	NOUN
ejpam-4930	340	10	sink	sink	NOUN
ejpam-4930	340	11	.	.	PUNCT
ejpam-4930	341	1	mechanical	mechanical	ADJ
ejpam-4930	341	2	systems	system	NOUN
ejpam-4930	341	3	and	and	CCONJ
ejpam-4930	341	4	signal	signal	NOUN
ejpam-4930	341	5	processing	processing	NOUN
ejpam-4930	341	6	,	,	PUNCT
ejpam-4930	341	7	185:109813	185:109813	NUM
ejpam-4930	341	8	,	,	PUNCT
ejpam-4930	341	9	2023	2023	NUM
ejpam-4930	341	10	.	.	PUNCT
ejpam-4930	342	1	[	[	X
ejpam-4930	342	2	10	10	NUM
ejpam-4930	342	3	]	]	X
ejpam-4930	342	4	j.	j.	PROPN
ejpam-4930	342	5	c.	c.	PROPN
ejpam-4930	342	6	ji	ji	PROPN
ejpam-4930	342	7	.	.	PROPN
ejpam-4930	342	8	application	application	NOUN
ejpam-4930	342	9	of	of	ADP
ejpam-4930	342	10	a	a	DET
ejpam-4930	342	11	weakly	weakly	ADJ
ejpam-4930	342	12	nonlinear	nonlinear	ADJ
ejpam-4930	342	13	absorber	absorber	NOUN
ejpam-4930	342	14	to	to	PART
ejpam-4930	342	15	suppress	suppress	VERB
ejpam-4930	342	16	the	the	DET
ejpam-4930	342	17	resonant	resonant	ADJ
ejpam-4930	342	18	vibrations	vibration	NOUN
ejpam-4930	342	19	of	of	ADP
ejpam-4930	342	20	a	a	DET
ejpam-4930	342	21	forced	force	VERB
ejpam-4930	342	22	nonlinear	nonlinear	ADJ
ejpam-4930	342	23	oscillator	oscillator	NOUN
ejpam-4930	342	24	.	.	PUNCT
ejpam-4930	343	1	journal	journal	NOUN
ejpam-4930	343	2	of	of	ADP
ejpam-4930	343	3	vibration	vibration	NOUN
ejpam-4930	343	4	and	and	CCONJ
ejpam-4930	343	5	acoustics	acoustic	NOUN
ejpam-4930	343	6	,	,	PUNCT
ejpam-4930	343	7	134(4):044502	134(4):044502	NUM
ejpam-4930	343	8	,	,	PUNCT
ejpam-4930	343	9	2012	2012	NUM
ejpam-4930	343	10	.	.	PUNCT
ejpam-4930	344	1	[	[	X
ejpam-4930	344	2	11	11	NUM
ejpam-4930	344	3	]	]	X
ejpam-4930	344	4	jc	jc	PROPN
ejpam-4930	344	5	ji	ji	PROPN
ejpam-4930	344	6	and	and	CCONJ
ejpam-4930	344	7	n	n	PROPN
ejpam-4930	344	8	zhang	zhang	PROPN
ejpam-4930	344	9	.	.	PUNCT
ejpam-4930	344	10	suppression	suppression	NOUN
ejpam-4930	344	11	of	of	ADP
ejpam-4930	344	12	the	the	DET
ejpam-4930	344	13	primary	primary	ADJ
ejpam-4930	344	14	resonance	resonance	NOUN
ejpam-4930	344	15	vibrations	vibration	NOUN
ejpam-4930	344	16	of	of	ADP
ejpam-4930	344	17	a	a	DET
ejpam-4930	344	18	forced	force	VERB
ejpam-4930	344	19	nonlinear	nonlinear	ADJ
ejpam-4930	344	20	system	system	NOUN
ejpam-4930	344	21	using	use	VERB
ejpam-4930	344	22	a	a	DET
ejpam-4930	344	23	dynamic	dynamic	ADJ
ejpam-4930	344	24	vibration	vibration	NOUN
ejpam-4930	344	25	absorber	absorber	NOUN
ejpam-4930	344	26	.	.	PUNCT
ejpam-4930	345	1	journal	journal	NOUN
ejpam-4930	345	2	of	of	ADP
ejpam-4930	345	3	sound	sound	NOUN
ejpam-4930	345	4	and	and	CCONJ
ejpam-4930	345	5	vibration	vibration	NOUN
ejpam-4930	345	6	,	,	PUNCT
ejpam-4930	345	7	329(11):2044–2056	329(11):2044–2056	NUM
ejpam-4930	345	8	,	,	PUNCT
ejpam-4930	345	9	2010	2010	NUM
ejpam-4930	345	10	.	.	PUNCT
ejpam-4930	346	1	[	[	X
ejpam-4930	346	2	12	12	NUM
ejpam-4930	346	3	]	]	X
ejpam-4930	346	4	ali	ali	PROPN
ejpam-4930	346	5	kandil	kandil	PROPN
ejpam-4930	346	6	,	,	PUNCT
ejpam-4930	346	7	yasser	yasser	PROPN
ejpam-4930	346	8	s	s	PROPN
ejpam-4930	346	9	hamed	hamed	PROPN
ejpam-4930	346	10	,	,	PUNCT
ejpam-4930	346	11	khadijah	khadijah	PROPN
ejpam-4930	346	12	m	m	PROPN
ejpam-4930	346	13	abualnaja	abualnaja	PROPN
ejpam-4930	346	14	,	,	PUNCT
ejpam-4930	346	15	jan	jan	PROPN
ejpam-4930	346	16	awrejcewicz	awrejcewicz	PROPN
ejpam-4930	346	17	,	,	PUNCT
ejpam-4930	346	18	and	and	CCONJ
ejpam-4930	346	19	maksymilian	maksymilian	ADJ
ejpam-4930	346	20	bednarek	bednarek	PROPN
ejpam-4930	346	21	.	.	PUNCT
ejpam-4930	347	1	1/3	1/3	NUM
ejpam-4930	347	2	order	order	NOUN
ejpam-4930	347	3	subharmonic	subharmonic	ADJ
ejpam-4930	347	4	resonance	resonance	NOUN
ejpam-4930	347	5	control	control	NOUN
ejpam-4930	347	6	of	of	ADP
ejpam-4930	347	7	a	a	DET
ejpam-4930	347	8	mass	mass	ADJ
ejpam-4930	347	9	-	-	PUNCT
ejpam-4930	347	10	damper	damper	NOUN
ejpam-4930	347	11	-	-	PUNCT
ejpam-4930	347	12	spring	spring	NOUN
ejpam-4930	347	13	model	model	NOUN
ejpam-4930	347	14	via	via	ADP
ejpam-4930	347	15	cubic	cubic	ADJ
ejpam-4930	347	16	-	-	PUNCT
ejpam-4930	347	17	position	position	NOUN
ejpam-4930	347	18	negative	negative	ADJ
ejpam-4930	347	19	-	-	PUNCT
ejpam-4930	347	20	velocity	velocity	NOUN
ejpam-4930	347	21	feedback	feedback	NOUN
ejpam-4930	347	22	.	.	PUNCT
ejpam-4930	348	1	symmetry	symmetry	NOUN
ejpam-4930	348	2	,	,	PUNCT
ejpam-4930	348	3	14(4):685	14(4):685	NUM
ejpam-4930	348	4	,	,	PUNCT
ejpam-4930	348	5	2022	2022	NUM
ejpam-4930	348	6	.	.	PUNCT
ejpam-4930	349	1	[	[	X
ejpam-4930	349	2	13	13	NUM
ejpam-4930	349	3	]	]	X
ejpam-4930	349	4	ali	ali	PROPN
ejpam-4930	349	5	kandil	kandil	PROPN
ejpam-4930	349	6	,	,	PUNCT
ejpam-4930	349	7	yasser	yasser	PROPN
ejpam-4930	349	8	s	s	PROPN
ejpam-4930	349	9	hamed	hamed	PROPN
ejpam-4930	349	10	,	,	PUNCT
ejpam-4930	349	11	mohamed	mohamed	PROPN
ejpam-4930	349	12	s	s	PROPN
ejpam-4930	349	13	mohamed	mohamed	PROPN
ejpam-4930	349	14	,	,	PUNCT
ejpam-4930	349	15	jan	jan	PROPN
ejpam-4930	349	16	awrejcewicz	awrejcewicz	PROPN
ejpam-4930	349	17	,	,	PUNCT
ejpam-4930	349	18	and	and	CCONJ
ejpam-4930	349	19	maksymilian	maksymilian	ADJ
ejpam-4930	349	20	bednarek	bednarek	PROPN
ejpam-4930	349	21	.	.	PUNCT
ejpam-4930	350	1	third	third	ADJ
ejpam-4930	350	2	-	-	PUNCT
ejpam-4930	350	3	order	order	NOUN
ejpam-4930	350	4	superharmonic	superharmonic	ADJ
ejpam-4930	350	5	resonance	resonance	NOUN
ejpam-4930	350	6	analysis	analysis	NOUN
ejpam-4930	350	7	and	and	CCONJ
ejpam-4930	350	8	control	control	NOUN
ejpam-4930	350	9	in	in	ADP
ejpam-4930	350	10	a	a	DET
ejpam-4930	350	11	nonlinear	nonlinear	ADJ
ejpam-4930	350	12	dynamical	dynamical	ADJ
ejpam-4930	350	13	system	system	NOUN
ejpam-4930	350	14	.	.	PUNCT
ejpam-4930	351	1	mathematics	mathematic	NOUN
ejpam-4930	351	2	,	,	PUNCT
ejpam-4930	351	3	10(8):1282	10(8):1282	NUM
ejpam-4930	351	4	,	,	PUNCT
ejpam-4930	351	5	2022	2022	NUM
ejpam-4930	351	6	.	.	PUNCT
ejpam-4930	352	1	[	[	X
ejpam-4930	352	2	14	14	NUM
ejpam-4930	352	3	]	]	X
ejpam-4930	352	4	ali	ali	PROPN
ejpam-4930	352	5	kandil	kandil	PROPN
ejpam-4930	352	6	,	,	PUNCT
ejpam-4930	352	7	yasser	yasser	PROPN
ejpam-4930	352	8	salah	salah	PROPN
ejpam-4930	352	9	hamed	hamed	PROPN
ejpam-4930	352	10	,	,	PUNCT
ejpam-4930	352	11	abdullah	abdullah	PROPN
ejpam-4930	352	12	m	m	PROPN
ejpam-4930	352	13	alsharif	alsharif	NOUN
ejpam-4930	352	14	,	,	PUNCT
ejpam-4930	352	15	and	and	CCONJ
ejpam-4930	352	16	jan	jan	PROPN
ejpam-4930	352	17	awrejcewicz	awrejcewicz	PROPN
ejpam-4930	352	18	.	.	PUNCT
ejpam-4930	353	1	2d	2d	NOUN
ejpam-4930	353	2	and	and	CCONJ
ejpam-4930	353	3	3d	3d	NUM
ejpam-4930	353	4	visualizations	visualization	NOUN
ejpam-4930	353	5	of	of	ADP
ejpam-4930	353	6	the	the	DET
ejpam-4930	353	7	mass	mass	ADJ
ejpam-4930	353	8	-	-	PUNCT
ejpam-4930	353	9	damper	damper	NOUN
ejpam-4930	353	10	-	-	PUNCT
ejpam-4930	353	11	spring	spring	NOUN
ejpam-4930	353	12	model	model	NOUN
ejpam-4930	353	13	dynamics	dynamic	NOUN
ejpam-4930	353	14	controlled	control	VERB
ejpam-4930	353	15	by	by	ADP
ejpam-4930	353	16	a	a	DET
ejpam-4930	353	17	servo	servo	NOUN
ejpam-4930	353	18	-	-	PUNCT
ejpam-4930	353	19	controlled	control	VERB
ejpam-4930	353	20	linear	linear	ADJ
ejpam-4930	353	21	actuator	actuator	NOUN
ejpam-4930	353	22	.	.	PUNCT
ejpam-4930	354	1	ieee	ieee	NOUN
ejpam-4930	354	2	access	access	NOUN
ejpam-4930	354	3	,	,	PUNCT
ejpam-4930	354	4	9:153012–153026	9:153012–153026	NUM
ejpam-4930	354	5	,	,	PUNCT
ejpam-4930	354	6	2021	2021	NUM
ejpam-4930	354	7	.	.	PUNCT
ejpam-4930	355	1	[	[	X
ejpam-4930	355	2	15	15	NUM
ejpam-4930	355	3	]	]	X
ejpam-4930	355	4	ali	ali	PROPN
ejpam-4930	355	5	kandil	kandil	PROPN
ejpam-4930	355	6	,	,	PUNCT
ejpam-4930	355	7	ys	ys	PROPN
ejpam-4930	355	8	hamed	hamed	ADJ
ejpam-4930	355	9	,	,	PUNCT
ejpam-4930	355	10	and	and	CCONJ
ejpam-4930	355	11	jan	jan	PROPN
ejpam-4930	355	12	awrejcewicz	awrejcewicz	PROPN
ejpam-4930	355	13	.	.	PUNCT
ejpam-4930	356	1	harmonic	harmonic	ADJ
ejpam-4930	356	2	balance	balance	NOUN
ejpam-4930	356	3	method	method	NOUN
ejpam-4930	356	4	to	to	PART
ejpam-4930	356	5	analyze	analyze	VERB
ejpam-4930	356	6	the	the	DET
ejpam-4930	356	7	steady	steady	ADJ
ejpam-4930	356	8	-	-	PUNCT
ejpam-4930	356	9	state	state	NOUN
ejpam-4930	356	10	response	response	NOUN
ejpam-4930	356	11	of	of	ADP
ejpam-4930	356	12	a	a	DET
ejpam-4930	356	13	controlled	control	VERB
ejpam-4930	356	14	mass	mass	ADJ
ejpam-4930	356	15	-	-	PUNCT
ejpam-4930	356	16	damper	damper	NOUN
ejpam-4930	356	17	-	-	PUNCT
ejpam-4930	356	18	spring	spring	NOUN
ejpam-4930	356	19	model	model	NOUN
ejpam-4930	356	20	.	.	PUNCT
ejpam-4930	357	1	symmetry	symmetry	PROPN
ejpam-4930	357	2	,	,	PUNCT
ejpam-4930	357	3	14(6):1247	14(6):1247	NUM
ejpam-4930	357	4	,	,	PUNCT
ejpam-4930	357	5	2022	2022	NUM
ejpam-4930	357	6	.	.	PUNCT
ejpam-4930	358	1	[	[	X
ejpam-4930	358	2	16	16	NUM
ejpam-4930	358	3	]	]	X
ejpam-4930	358	4	canchang	canchang	PROPN
ejpam-4930	358	5	liu	liu	PROPN
ejpam-4930	358	6	,	,	PUNCT
ejpam-4930	358	7	chuanbo	chuanbo	PROPN
ejpam-4930	358	8	ren	ren	PROPN
ejpam-4930	358	9	,	,	PUNCT
ejpam-4930	358	10	lu	lu	PROPN
ejpam-4930	358	11	liu	liu	PROPN
ejpam-4930	358	12	,	,	PUNCT
ejpam-4930	358	13	and	and	CCONJ
ejpam-4930	358	14	yingzi	yingzi	PROPN
ejpam-4930	358	15	xu	xu	PROPN
ejpam-4930	358	16	.	.	PUNCT
ejpam-4930	359	1	optimal	optimal	ADJ
ejpam-4930	359	2	control	control	NOUN
ejpam-4930	359	3	of	of	ADP
ejpam-4930	359	4	nonlinear	nonlinear	ADJ
ejpam-4930	359	5	vibration	vibration	NOUN
ejpam-4930	359	6	resonances	resonance	NOUN
ejpam-4930	359	7	of	of	ADP
ejpam-4930	359	8	single	single	ADJ
ejpam-4930	359	9	-	-	PUNCT
ejpam-4930	359	10	walled	wall	VERB
ejpam-4930	359	11	nanotube	nanotube	NOUN
ejpam-4930	359	12	beams	beam	NOUN
ejpam-4930	359	13	.	.	PUNCT
ejpam-4930	360	1	acta	acta	PROPN
ejpam-4930	360	2	mechanica	mechanica	PROPN
ejpam-4930	360	3	solida	solida	PROPN
ejpam-4930	360	4	sinica	sinica	PROPN
ejpam-4930	360	5	,	,	PUNCT
ejpam-4930	360	6	27(6):648–656	27(6):648–656	PROPN
ejpam-4930	360	7	,	,	PUNCT
ejpam-4930	360	8	2014	2014	NUM
ejpam-4930	360	9	.	.	PUNCT
ejpam-4930	361	1	[	[	X
ejpam-4930	361	2	17	17	NUM
ejpam-4930	361	3	]	]	X
ejpam-4930	361	4	canchang	canchang	PROPN
ejpam-4930	361	5	liu	liu	PROPN
ejpam-4930	361	6	,	,	PUNCT
ejpam-4930	361	7	shuchang	shuchang	PROPN
ejpam-4930	361	8	yue	yue	PROPN
ejpam-4930	361	9	,	,	PUNCT
ejpam-4930	361	10	and	and	CCONJ
ejpam-4930	361	11	jilei	jilei	PROPN
ejpam-4930	361	12	zhou	zhou	PROPN
ejpam-4930	361	13	.	.	PUNCT
ejpam-4930	362	1	piezoelectric	piezoelectric	PROPN
ejpam-4930	362	2	optimal	optimal	ADJ
ejpam-4930	362	3	delayed	delay	VERB
ejpam-4930	362	4	feedback	feedback	NOUN
ejpam-4930	362	5	control	control	NOUN
ejpam-4930	362	6	for	for	ADP
ejpam-4930	362	7	nonlinear	nonlinear	ADJ
ejpam-4930	362	8	vibration	vibration	NOUN
ejpam-4930	362	9	of	of	ADP
ejpam-4930	362	10	beams	beam	NOUN
ejpam-4930	362	11	.	.	PUNCT
ejpam-4930	363	1	journal	journal	NOUN
ejpam-4930	363	2	of	of	ADP
ejpam-4930	363	3	low	low	ADJ
ejpam-4930	363	4	frequency	frequency	NOUN
ejpam-4930	363	5	noise	noise	NOUN
ejpam-4930	363	6	,	,	PUNCT
ejpam-4930	363	7	vibration	vibration	NOUN
ejpam-4930	363	8	and	and	CCONJ
ejpam-4930	363	9	active	active	ADJ
ejpam-4930	363	10	control	control	NOUN
ejpam-4930	363	11	,	,	PUNCT
ejpam-4930	363	12	35(1):25–38	35(1):25–38	PROPN
ejpam-4930	363	13	,	,	PUNCT
ejpam-4930	363	14	2016	2016	NUM
ejpam-4930	363	15	.	.	PUNCT
ejpam-4930	364	1	[	[	X
ejpam-4930	364	2	18	18	NUM
ejpam-4930	364	3	]	]	X
ejpam-4930	364	4	chun	chun	PROPN
ejpam-4930	364	5	-	-	PUNCT
ejpam-4930	364	6	xia	xia	PROPN
ejpam-4930	364	7	liu	liu	PROPN
ejpam-4930	364	8	,	,	PUNCT
ejpam-4930	364	9	yan	yan	PROPN
ejpam-4930	364	10	yan	yan	PROPN
ejpam-4930	364	11	,	,	PUNCT
ejpam-4930	364	12	and	and	CCONJ
ejpam-4930	364	13	wen	wen	PROPN
ejpam-4930	364	14	-	-	PROPN
ejpam-4930	364	15	quan	quan	PROPN
ejpam-4930	364	16	wang	wang	PROPN
ejpam-4930	364	17	.	.	PUNCT
ejpam-4930	365	1	primary	primary	ADJ
ejpam-4930	365	2	and	and	CCONJ
ejpam-4930	365	3	secondary	secondary	ADJ
ejpam-4930	365	4	resonance	resonance	NOUN
ejpam-4930	365	5	analyses	analysis	NOUN
ejpam-4930	365	6	of	of	ADP
ejpam-4930	365	7	a	a	DET
ejpam-4930	365	8	cantilever	cantilever	NOUN
ejpam-4930	365	9	beam	beam	NOUN
ejpam-4930	365	10	carrying	carry	VERB
ejpam-4930	365	11	an	an	DET
ejpam-4930	365	12	intermediate	intermediate	ADJ
ejpam-4930	365	13	lumped	lump	VERB
ejpam-4930	365	14	mass	mass	NOUN
ejpam-4930	365	15	with	with	ADP
ejpam-4930	365	16	time	time	NOUN
ejpam-4930	365	17	-	-	PUNCT
ejpam-4930	365	18	delay	delay	NOUN
ejpam-4930	365	19	feedback	feedback	NOUN
ejpam-4930	365	20	.	.	PUNCT
ejpam-4930	366	1	nonlinear	nonlinear	ADJ
ejpam-4930	366	2	dynamics	dynamic	NOUN
ejpam-4930	366	3	,	,	PUNCT
ejpam-4930	366	4	97:1175–1195	97:1175–1195	NUM
ejpam-4930	366	5	,	,	PUNCT
ejpam-4930	366	6	2019	2019	NUM
ejpam-4930	366	7	.	.	PUNCT
ejpam-4930	367	1	references	reference	NOUN
ejpam-4930	367	2	2749	2749	NUM
ejpam-4930	367	3	[	[	X
ejpam-4930	367	4	19	19	NUM
ejpam-4930	367	5	]	]	PUNCT
ejpam-4930	367	6	chunxia	chunxia	PROPN
ejpam-4930	367	7	liu	liu	PROPN
ejpam-4930	367	8	,	,	PUNCT
ejpam-4930	367	9	yan	yan	PROPN
ejpam-4930	367	10	yan	yan	PROPN
ejpam-4930	367	11	,	,	PUNCT
ejpam-4930	367	12	and	and	CCONJ
ejpam-4930	367	13	wen	wen	PROPN
ejpam-4930	367	14	-	-	PROPN
ejpam-4930	367	15	quan	quan	PROPN
ejpam-4930	367	16	wang	wang	PROPN
ejpam-4930	367	17	.	.	PUNCT
ejpam-4930	368	1	application	application	NOUN
ejpam-4930	368	2	of	of	ADP
ejpam-4930	368	3	nonlocal	nonlocal	ADJ
ejpam-4930	368	4	continuum	continuum	ADJ
ejpam-4930	368	5	theory	theory	NOUN
ejpam-4930	368	6	to	to	ADP
ejpam-4930	368	7	the	the	DET
ejpam-4930	368	8	primary	primary	ADJ
ejpam-4930	368	9	resonance	resonance	NOUN
ejpam-4930	368	10	analysis	analysis	NOUN
ejpam-4930	368	11	of	of	ADP
ejpam-4930	368	12	an	an	DET
ejpam-4930	368	13	axially	axially	ADV
ejpam-4930	368	14	loaded	load	VERB
ejpam-4930	368	15	nano	nano	NOUN
ejpam-4930	368	16	beam	beam	NOUN
ejpam-4930	368	17	under	under	ADP
ejpam-4930	368	18	time	time	NOUN
ejpam-4930	368	19	delay	delay	NOUN
ejpam-4930	368	20	control	control	PROPN
ejpam-4930	368	21	.	.	PUNCT
ejpam-4930	369	1	applied	apply	VERB
ejpam-4930	369	2	mathematical	mathematical	ADJ
ejpam-4930	369	3	modelling	modelling	NOUN
ejpam-4930	369	4	,	,	PUNCT
ejpam-4930	369	5	85:124–140	85:124–140	NUM
ejpam-4930	369	6	,	,	PUNCT
ejpam-4930	369	7	2020	2020	NUM
ejpam-4930	369	8	.	.	PUNCT
ejpam-4930	370	1	[	[	X
ejpam-4930	370	2	20	20	NUM
ejpam-4930	370	3	]	]	PUNCT
ejpam-4930	370	4	chunxia	chunxia	PROPN
ejpam-4930	370	5	liu	liu	PROPN
ejpam-4930	370	6	,	,	PUNCT
ejpam-4930	370	7	yan	yan	PROPN
ejpam-4930	370	8	yan	yan	PROPN
ejpam-4930	370	9	,	,	PUNCT
ejpam-4930	370	10	wenquan	wenquan	PROPN
ejpam-4930	370	11	wang	wang	PROPN
ejpam-4930	370	12	,	,	PUNCT
ejpam-4930	370	13	and	and	CCONJ
ejpam-4930	370	14	daohang	daohang	PROPN
ejpam-4930	370	15	wang	wang	PROPN
ejpam-4930	370	16	.	.	PUNCT
ejpam-4930	371	1	optimal	optimal	ADJ
ejpam-4930	371	2	time	time	NOUN
ejpam-4930	371	3	delayed	delay	VERB
ejpam-4930	371	4	control	control	NOUN
ejpam-4930	371	5	of	of	ADP
ejpam-4930	371	6	the	the	DET
ejpam-4930	371	7	combination	combination	NOUN
ejpam-4930	371	8	resonances	resonance	NOUN
ejpam-4930	371	9	of	of	ADP
ejpam-4930	371	10	viscoelastic	viscoelastic	ADJ
ejpam-4930	371	11	graphene	graphene	NOUN
ejpam-4930	371	12	sheets	sheet	NOUN
ejpam-4930	371	13	under	under	ADP
ejpam-4930	371	14	dualfrequency	dualfrequency	NOUN
ejpam-4930	371	15	excitation	excitation	NOUN
ejpam-4930	371	16	.	.	PUNCT
ejpam-4930	372	1	chaos	chaos	NOUN
ejpam-4930	372	2	,	,	PUNCT
ejpam-4930	372	3	solitons	soliton	NOUN
ejpam-4930	372	4	&	&	CCONJ
ejpam-4930	372	5	fractals	fractal	NOUN
ejpam-4930	372	6	,	,	PUNCT
ejpam-4930	372	7	165:112856	165:112856	NUM
ejpam-4930	372	8	,	,	PUNCT
ejpam-4930	372	9	2022	2022	NUM
ejpam-4930	372	10	.	.	PUNCT
ejpam-4930	373	1	[	[	X
ejpam-4930	373	2	21	21	NUM
ejpam-4930	373	3	]	]	X
ejpam-4930	373	4	wb	wb	PROPN
ejpam-4930	373	5	liu	liu	PROPN
ejpam-4930	373	6	,	,	PUNCT
ejpam-4930	373	7	hl	hl	PROPN
ejpam-4930	373	8	dai	dai	PROPN
ejpam-4930	373	9	,	,	PUNCT
ejpam-4930	373	10	and	and	CCONJ
ejpam-4930	373	11	l	l	PROPN
ejpam-4930	373	12	wang	wang	PROPN
ejpam-4930	373	13	.	.	PUNCT
ejpam-4930	374	1	suppressing	suppress	VERB
ejpam-4930	374	2	wind	wind	NOUN
ejpam-4930	374	3	-	-	PUNCT
ejpam-4930	374	4	induced	induce	VERB
ejpam-4930	374	5	oscillations	oscillation	NOUN
ejpam-4930	374	6	of	of	ADP
ejpam-4930	374	7	prismatic	prismatic	ADJ
ejpam-4930	374	8	structures	structure	NOUN
ejpam-4930	374	9	by	by	ADP
ejpam-4930	374	10	dynamic	dynamic	ADJ
ejpam-4930	374	11	vibration	vibration	NOUN
ejpam-4930	374	12	absorbers	absorber	NOUN
ejpam-4930	374	13	.	.	PUNCT
ejpam-4930	375	1	international	international	ADJ
ejpam-4930	375	2	journal	journal	NOUN
ejpam-4930	375	3	of	of	ADP
ejpam-4930	375	4	structural	structural	ADJ
ejpam-4930	375	5	stability	stability	NOUN
ejpam-4930	375	6	and	and	CCONJ
ejpam-4930	375	7	dynamics	dynamic	NOUN
ejpam-4930	375	8	,	,	PUNCT
ejpam-4930	375	9	17(06):1750056	17(06):1750056	NUM
ejpam-4930	375	10	,	,	PUNCT
ejpam-4930	375	11	2017	2017	NUM
ejpam-4930	375	12	.	.	PUNCT
ejpam-4930	376	1	[	[	X
ejpam-4930	376	2	22	22	NUM
ejpam-4930	376	3	]	]	X
ejpam-4930	376	4	s	s	PART
ejpam-4930	376	5	mohanty	mohanty	NOUN
ejpam-4930	376	6	and	and	CCONJ
ejpam-4930	376	7	sk	sk	PROPN
ejpam-4930	376	8	dwivedy	dwivedy	PROPN
ejpam-4930	376	9	.	.	PUNCT
ejpam-4930	377	1	traditional	traditional	ADJ
ejpam-4930	377	2	and	and	CCONJ
ejpam-4930	377	3	non	non	ADJ
ejpam-4930	377	4	-	-	ADJ
ejpam-4930	377	5	traditional	traditional	ADJ
ejpam-4930	377	6	active	active	ADJ
ejpam-4930	377	7	nonlinear	nonlinear	ADJ
ejpam-4930	377	8	vibration	vibration	NOUN
ejpam-4930	377	9	absorber	absorber	NOUN
ejpam-4930	377	10	with	with	ADP
ejpam-4930	377	11	time	time	NOUN
ejpam-4930	377	12	delay	delay	NOUN
ejpam-4930	377	13	combination	combination	NOUN
ejpam-4930	377	14	feedback	feedback	NOUN
ejpam-4930	377	15	for	for	ADP
ejpam-4930	377	16	hard	hard	ADJ
ejpam-4930	377	17	excitation	excitation	NOUN
ejpam-4930	377	18	.	.	PUNCT
ejpam-4930	378	1	communications	communication	NOUN
ejpam-4930	378	2	in	in	ADP
ejpam-4930	378	3	nonlinear	nonlinear	ADJ
ejpam-4930	378	4	science	science	NOUN
ejpam-4930	378	5	and	and	CCONJ
ejpam-4930	378	6	numerical	numerical	PROPN
ejpam-4930	378	7	simulation	simulation	PROPN
ejpam-4930	378	8	,	,	PUNCT
ejpam-4930	378	9	117:106919	117:106919	NUM
ejpam-4930	378	10	,	,	PUNCT
ejpam-4930	378	11	2023	2023	NUM
ejpam-4930	378	12	.	.	PUNCT
ejpam-4930	379	1	[	[	X
ejpam-4930	379	2	23	23	NUM
ejpam-4930	379	3	]	]	X
ejpam-4930	379	4	ali	ali	PROPN
ejpam-4930	379	5	h	h	PROPN
ejpam-4930	379	6	nayfeh	nayfeh	PROPN
ejpam-4930	379	7	and	and	CCONJ
ejpam-4930	379	8	dean	dean	PROPN
ejpam-4930	379	9	t	t	PROPN
ejpam-4930	379	10	mook	mook	NOUN
ejpam-4930	379	11	.	.	PUNCT
ejpam-4930	380	1	nonlinear	nonlinear	ADJ
ejpam-4930	380	2	oscillations	oscillation	NOUN
ejpam-4930	380	3	.	.	PUNCT
ejpam-4930	381	1	john	john	PROPN
ejpam-4930	381	2	wiley	wiley	PROPN
ejpam-4930	381	3	&	&	CCONJ
ejpam-4930	381	4	sons	son	NOUN
ejpam-4930	381	5	,	,	PUNCT
ejpam-4930	381	6	2008	2008	NUM
ejpam-4930	381	7	.	.	PUNCT
ejpam-4930	382	1	[	[	X
ejpam-4930	382	2	24	24	NUM
ejpam-4930	382	3	]	]	PUNCT
ejpam-4930	382	4	ehsan	ehsan	PROPN
ejpam-4930	382	5	omidi	omidi	PROPN
ejpam-4930	382	6	and	and	CCONJ
ejpam-4930	382	7	s	s	PROPN
ejpam-4930	382	8	nima	nima	PROPN
ejpam-4930	382	9	mahmoodi	mahmoodi	PROPN
ejpam-4930	382	10	.	.	PUNCT
ejpam-4930	383	1	sensitivity	sensitivity	NOUN
ejpam-4930	383	2	analysis	analysis	NOUN
ejpam-4930	383	3	of	of	ADP
ejpam-4930	383	4	the	the	DET
ejpam-4930	383	5	nonlinear	nonlinear	ADJ
ejpam-4930	383	6	integral	integral	ADJ
ejpam-4930	383	7	positive	positive	ADJ
ejpam-4930	383	8	position	position	NOUN
ejpam-4930	383	9	feedback	feedback	NOUN
ejpam-4930	383	10	and	and	CCONJ
ejpam-4930	383	11	integral	integral	ADJ
ejpam-4930	383	12	resonant	resonant	ADJ
ejpam-4930	383	13	controllers	controller	NOUN
ejpam-4930	383	14	on	on	ADP
ejpam-4930	383	15	vibration	vibration	NOUN
ejpam-4930	383	16	suppression	suppression	NOUN
ejpam-4930	383	17	of	of	ADP
ejpam-4930	383	18	nonlinear	nonlinear	ADJ
ejpam-4930	383	19	oscillatory	oscillatory	ADJ
ejpam-4930	383	20	systems	system	NOUN
ejpam-4930	383	21	.	.	PUNCT
ejpam-4930	384	1	communications	communication	NOUN
ejpam-4930	384	2	in	in	ADP
ejpam-4930	384	3	nonlinear	nonlinear	ADJ
ejpam-4930	384	4	science	science	NOUN
ejpam-4930	384	5	and	and	CCONJ
ejpam-4930	384	6	numerical	numerical	PROPN
ejpam-4930	384	7	simulation	simulation	PROPN
ejpam-4930	384	8	,	,	PUNCT
ejpam-4930	384	9	22(1	22(1	NUM
ejpam-4930	384	10	-	-	SYM
ejpam-4930	384	11	3):149–166	3):149–166	NUM
ejpam-4930	384	12	,	,	PUNCT
ejpam-4930	384	13	2015	2015	NUM
ejpam-4930	384	14	.	.	PUNCT
ejpam-4930	385	1	[	[	X
ejpam-4930	385	2	25	25	NUM
ejpam-4930	385	3	]	]	PUNCT
ejpam-4930	385	4	ehsan	ehsan	PROPN
ejpam-4930	385	5	omidi	omidi	PROPN
ejpam-4930	385	6	and	and	CCONJ
ejpam-4930	385	7	s	s	PROPN
ejpam-4930	385	8	nima	nima	PROPN
ejpam-4930	385	9	mahmoodi	mahmoodi	PROPN
ejpam-4930	385	10	.	.	PUNCT
ejpam-4930	386	1	nonlinear	nonlinear	ADJ
ejpam-4930	386	2	integral	integral	ADJ
ejpam-4930	386	3	resonant	resonant	ADJ
ejpam-4930	386	4	controller	controller	NOUN
ejpam-4930	386	5	for	for	ADP
ejpam-4930	386	6	vibration	vibration	NOUN
ejpam-4930	386	7	reduction	reduction	NOUN
ejpam-4930	386	8	in	in	ADP
ejpam-4930	386	9	nonlinear	nonlinear	ADJ
ejpam-4930	386	10	systems	system	NOUN
ejpam-4930	386	11	.	.	PUNCT
ejpam-4930	387	1	acta	acta	PROPN
ejpam-4930	387	2	mechanica	mechanica	PROPN
ejpam-4930	387	3	sinica	sinica	PROPN
ejpam-4930	387	4	,	,	PUNCT
ejpam-4930	387	5	32:925–934	32:925–934	NOUN
ejpam-4930	387	6	,	,	PUNCT
ejpam-4930	387	7	2016	2016	NUM
ejpam-4930	387	8	.	.	PUNCT
ejpam-4930	388	1	[	[	X
ejpam-4930	388	2	26	26	NUM
ejpam-4930	388	3	]	]	X
ejpam-4930	388	4	hasan	hasan	PROPN
ejpam-4930	388	5	omur	omur	PROPN
ejpam-4930	388	6	ozer	ozer	PROPN
ejpam-4930	388	7	,	,	PUNCT
ejpam-4930	388	8	yuksel	yuksel	ADJ
ejpam-4930	388	9	hacioglu	hacioglu	NOUN
ejpam-4930	388	10	,	,	PUNCT
ejpam-4930	388	11	and	and	CCONJ
ejpam-4930	388	12	nurkan	nurkan	PROPN
ejpam-4930	388	13	yagiz	yagiz	NOUN
ejpam-4930	388	14	.	.	PUNCT
ejpam-4930	389	1	suppression	suppression	NOUN
ejpam-4930	389	2	of	of	ADP
ejpam-4930	389	3	structural	structural	ADJ
ejpam-4930	389	4	vibrations	vibration	NOUN
ejpam-4930	389	5	using	use	VERB
ejpam-4930	389	6	pdpi+	pdpi+	NOUN
ejpam-4930	389	7	pi	pi	NOUN
ejpam-4930	389	8	type	type	NOUN
ejpam-4930	389	9	fuzzy	fuzzy	ADJ
ejpam-4930	389	10	logic	logic	NOUN
ejpam-4930	389	11	controlled	control	VERB
ejpam-4930	389	12	active	active	ADJ
ejpam-4930	389	13	dynamic	dynamic	ADJ
ejpam-4930	389	14	absorber	absorber	NOUN
ejpam-4930	389	15	.	.	PUNCT
ejpam-4930	390	1	journal	journal	NOUN
ejpam-4930	390	2	of	of	ADP
ejpam-4930	390	3	the	the	DET
ejpam-4930	390	4	brazilian	brazilian	ADJ
ejpam-4930	390	5	society	society	NOUN
ejpam-4930	390	6	of	of	ADP
ejpam-4930	390	7	mechanical	mechanical	ADJ
ejpam-4930	390	8	sciences	science	NOUN
ejpam-4930	390	9	and	and	CCONJ
ejpam-4930	390	10	engineering	engineering	NOUN
ejpam-4930	390	11	,	,	PUNCT
ejpam-4930	390	12	38:2105–2115	38:2105–2115	PROPN
ejpam-4930	390	13	,	,	PUNCT
ejpam-4930	390	14	2016	2016	NUM
ejpam-4930	390	15	.	.	PUNCT
ejpam-4930	391	1	[	[	X
ejpam-4930	391	2	27	27	NUM
ejpam-4930	391	3	]	]	X
ejpam-4930	391	4	emiliano	emiliano	PROPN
ejpam-4930	391	5	pereira	pereira	PROPN
ejpam-4930	391	6	,	,	PUNCT
ejpam-4930	391	7	sumeet	sumeet	PROPN
ejpam-4930	391	8	s	s	PART
ejpam-4930	391	9	aphale	aphale	PROPN
ejpam-4930	391	10	,	,	PUNCT
ejpam-4930	391	11	vicente	vicente	PROPN
ejpam-4930	391	12	feliu	feliu	PROPN
ejpam-4930	391	13	,	,	PUNCT
ejpam-4930	391	14	and	and	CCONJ
ejpam-4930	391	15	so	so	ADV
ejpam-4930	391	16	reza	reza	PROPN
ejpam-4930	391	17	moheimani	moheimani	PROPN
ejpam-4930	391	18	.	.	PUNCT
ejpam-4930	392	1	integral	integral	ADJ
ejpam-4930	392	2	resonant	resonant	ADJ
ejpam-4930	392	3	control	control	NOUN
ejpam-4930	392	4	for	for	ADP
ejpam-4930	392	5	vibration	vibration	NOUN
ejpam-4930	392	6	damping	damp	VERB
ejpam-4930	392	7	and	and	CCONJ
ejpam-4930	392	8	precise	precise	ADJ
ejpam-4930	392	9	tip	tip	NOUN
ejpam-4930	392	10	-	-	PUNCT
ejpam-4930	392	11	positioning	positioning	NOUN
ejpam-4930	392	12	of	of	ADP
ejpam-4930	392	13	a	a	DET
ejpam-4930	392	14	single	single	ADJ
ejpam-4930	392	15	-	-	PUNCT
ejpam-4930	392	16	link	link	NOUN
ejpam-4930	392	17	flexible	flexible	ADJ
ejpam-4930	392	18	manipulator	manipulator	NOUN
ejpam-4930	392	19	.	.	PUNCT
ejpam-4930	393	1	ieee	ieee	PROPN
ejpam-4930	393	2	/	/	SYM
ejpam-4930	393	3	asme	asme	PROPN
ejpam-4930	393	4	transactions	transaction	NOUN
ejpam-4930	393	5	on	on	ADP
ejpam-4930	393	6	mechatronics	mechatronic	NOUN
ejpam-4930	393	7	,	,	PUNCT
ejpam-4930	393	8	16(2):232–240	16(2):232–240	PROPN
ejpam-4930	393	9	,	,	PUNCT
ejpam-4930	393	10	2010	2010	NUM
ejpam-4930	393	11	.	.	PUNCT
ejpam-4930	394	1	[	[	X
ejpam-4930	394	2	28	28	NUM
ejpam-4930	394	3	]	]	X
ejpam-4930	394	4	nasser	nasser	PROPN
ejpam-4930	394	5	a	a	DET
ejpam-4930	394	6	saeed	saeed	PROPN
ejpam-4930	394	7	,	,	PUNCT
ejpam-4930	394	8	mohamed	mohamed	PROPN
ejpam-4930	394	9	s	s	PROPN
ejpam-4930	394	10	mohamed	mohamed	PROPN
ejpam-4930	394	11	,	,	PUNCT
ejpam-4930	394	12	sayed	say	VERB
ejpam-4930	394	13	k	k	PROPN
ejpam-4930	394	14	elagan	elagan	PROPN
ejpam-4930	394	15	,	,	PUNCT
ejpam-4930	394	16	and	and	CCONJ
ejpam-4930	394	17	jan	jan	PROPN
ejpam-4930	394	18	awrejcewicz	awrejcewicz	PROPN
ejpam-4930	394	19	.	.	PUNCT
ejpam-4930	395	1	integral	integral	ADJ
ejpam-4930	395	2	resonant	resonant	ADJ
ejpam-4930	395	3	controller	controller	NOUN
ejpam-4930	395	4	to	to	PART
ejpam-4930	395	5	suppress	suppress	VERB
ejpam-4930	395	6	the	the	DET
ejpam-4930	395	7	nonlinear	nonlinear	ADJ
ejpam-4930	395	8	oscillations	oscillation	NOUN
ejpam-4930	395	9	of	of	ADP
ejpam-4930	395	10	a	a	DET
ejpam-4930	395	11	two	two	NUM
ejpam-4930	395	12	-	-	PUNCT
ejpam-4930	395	13	degreeof	degreeof	ADJ
ejpam-4930	395	14	-	-	PUNCT
ejpam-4930	395	15	freedom	freedom	NOUN
ejpam-4930	395	16	rotor	rotor	NOUN
ejpam-4930	395	17	active	active	ADJ
ejpam-4930	395	18	magnetic	magnetic	ADJ
ejpam-4930	395	19	bearing	bearing	NOUN
ejpam-4930	395	20	system	system	NOUN
ejpam-4930	395	21	.	.	PUNCT
ejpam-4930	396	1	processes	process	NOUN
ejpam-4930	396	2	,	,	PUNCT
ejpam-4930	396	3	10(2):271	10(2):271	NOUN
ejpam-4930	396	4	,	,	PUNCT
ejpam-4930	396	5	2022	2022	NUM
ejpam-4930	396	6	.	.	PUNCT
ejpam-4930	397	1	[	[	X
ejpam-4930	397	2	29	29	NUM
ejpam-4930	397	3	]	]	X
ejpam-4930	397	4	jean	jean	PROPN
ejpam-4930	397	5	-	-	PUNCT
ejpam-4930	397	6	jacques	jacques	PROPN
ejpam-4930	397	7	e	e	PROPN
ejpam-4930	397	8	slotine	slotine	NOUN
ejpam-4930	397	9	,	,	PUNCT
ejpam-4930	397	10	weiping	weiping	NOUN
ejpam-4930	397	11	li	li	PROPN
ejpam-4930	397	12	,	,	PUNCT
ejpam-4930	397	13	et	et	PROPN
ejpam-4930	397	14	al	al	PROPN
ejpam-4930	397	15	.	.	PROPN
ejpam-4930	397	16	applied	apply	VERB
ejpam-4930	397	17	nonlinear	nonlinear	ADJ
ejpam-4930	397	18	control	control	NOUN
ejpam-4930	397	19	.	.	PUNCT
ejpam-4930	398	1	prentice	prentice	PROPN
ejpam-4930	398	2	hall	hall	PROPN
ejpam-4930	398	3	englewood	englewood	PROPN
ejpam-4930	398	4	cliffs	cliffs	PROPN
ejpam-4930	398	5	,	,	PUNCT
ejpam-4930	398	6	nj	nj	PROPN
ejpam-4930	398	7	,	,	PUNCT
ejpam-4930	398	8	1991	1991	NUM
ejpam-4930	398	9	.	.	PUNCT
ejpam-4930	399	1	[	[	X
ejpam-4930	399	2	30	30	NUM
ejpam-4930	399	3	]	]	X
ejpam-4930	399	4	feng	feng	PROPN
ejpam-4930	399	5	wang	wang	PROPN
ejpam-4930	399	6	,	,	PUNCT
ejpam-4930	399	7	xiuting	xiuting	PROPN
ejpam-4930	399	8	sun	sun	PROPN
ejpam-4930	399	9	,	,	PUNCT
ejpam-4930	399	10	hao	hao	PROPN
ejpam-4930	399	11	meng	meng	PROPN
ejpam-4930	399	12	,	,	PUNCT
ejpam-4930	399	13	and	and	CCONJ
ejpam-4930	399	14	jian	jian	PROPN
ejpam-4930	399	15	xu	xu	PROPN
ejpam-4930	399	16	.	.	PUNCT
ejpam-4930	400	1	tunable	tunable	ADJ
ejpam-4930	400	2	broadband	broadband	NOUN
ejpam-4930	400	3	low	low	ADJ
ejpam-4930	400	4	-	-	PUNCT
ejpam-4930	400	5	frequency	frequency	NOUN
ejpam-4930	400	6	band	band	NOUN
ejpam-4930	400	7	gap	gap	NOUN
ejpam-4930	400	8	of	of	ADP
ejpam-4930	400	9	multiple	multiple	ADJ
ejpam-4930	400	10	-	-	PUNCT
ejpam-4930	400	11	layer	layer	NOUN
ejpam-4930	400	12	metastructure	metastructure	NOUN
ejpam-4930	400	13	induced	induce	VERB
ejpam-4930	400	14	by	by	ADP
ejpam-4930	400	15	time	time	NOUN
ejpam-4930	400	16	-	-	PUNCT
ejpam-4930	400	17	delayed	delay	VERB
ejpam-4930	400	18	vibration	vibration	NOUN
ejpam-4930	400	19	absorbers	absorber	NOUN
ejpam-4930	400	20	.	.	PUNCT
ejpam-4930	401	1	nonlinear	nonlinear	ADJ
ejpam-4930	401	2	dynamics	dynamic	NOUN
ejpam-4930	401	3	,	,	PUNCT
ejpam-4930	401	4	pages	page	NOUN
ejpam-4930	401	5	1–16	1–16	PROPN
ejpam-4930	401	6	,	,	PUNCT
ejpam-4930	401	7	2022	2022	NUM
ejpam-4930	401	8	.	.	PUNCT
ejpam-4930	402	1	references	reference	NOUN
ejpam-4930	402	2	2750	2750	NUM
ejpam-4930	402	3	[	[	X
ejpam-4930	402	4	31	31	NUM
ejpam-4930	402	5	]	]	PUNCT
ejpam-4930	402	6	jian	jian	PROPN
ejpam-4930	402	7	xu	xu	PROPN
ejpam-4930	402	8	and	and	CCONJ
ejpam-4930	402	9	xiuting	xiuting	PROPN
ejpam-4930	402	10	sun	sun	PROPN
ejpam-4930	402	11	.	.	PUNCT
ejpam-4930	403	1	a	a	DET
ejpam-4930	403	2	multi	multi	ADJ
ejpam-4930	403	3	-	-	ADJ
ejpam-4930	403	4	directional	directional	ADJ
ejpam-4930	403	5	vibration	vibration	NOUN
ejpam-4930	403	6	isolator	isolator	NOUN
ejpam-4930	403	7	based	base	VERB
ejpam-4930	403	8	on	on	ADP
ejpam-4930	403	9	quasi	quasi	ADJ
ejpam-4930	403	10	-	-	ADJ
ejpam-4930	403	11	zerostiffness	zerostiffness	ADJ
ejpam-4930	403	12	structure	structure	NOUN
ejpam-4930	403	13	and	and	CCONJ
ejpam-4930	403	14	time	time	NOUN
ejpam-4930	403	15	-	-	PUNCT
ejpam-4930	403	16	delayed	delay	VERB
ejpam-4930	403	17	active	active	ADJ
ejpam-4930	403	18	control	control	NOUN
ejpam-4930	403	19	.	.	PUNCT
ejpam-4930	404	1	international	international	ADJ
ejpam-4930	404	2	journal	journal	PROPN
ejpam-4930	404	3	of	of	ADP
ejpam-4930	404	4	mechanical	mechanical	ADJ
ejpam-4930	404	5	sciences	science	NOUN
ejpam-4930	404	6	,	,	PUNCT
ejpam-4930	404	7	100:126–135	100:126–135	NUM
ejpam-4930	404	8	,	,	PUNCT
ejpam-4930	404	9	2015	2015	NUM
ejpam-4930	404	10	.	.	PUNCT
ejpam-4930	405	1	[	[	X
ejpam-4930	405	2	32	32	NUM
ejpam-4930	405	3	]	]	X
ejpam-4930	405	4	tiancheng	tiancheng	NOUN
ejpam-4930	405	5	xu	xu	PROPN
ejpam-4930	405	6	,	,	PUNCT
ejpam-4930	405	7	yancheng	yancheng	PROPN
ejpam-4930	405	8	li	li	PROPN
ejpam-4930	405	9	,	,	PUNCT
ejpam-4930	405	10	tao	tao	PROPN
ejpam-4930	405	11	lai	lai	PROPN
ejpam-4930	405	12	,	,	PUNCT
ejpam-4930	405	13	and	and	CCONJ
ejpam-4930	405	14	shaoqi	shaoqi	PROPN
ejpam-4930	405	15	li	li	PROPN
ejpam-4930	405	16	.	.	PROPN
ejpam-4930	405	17	h2	h2	PROPN
ejpam-4930	405	18	and	and	CCONJ
ejpam-4930	405	19	h∞	h∞	X
ejpam-4930	405	20	optimal	optimal	ADJ
ejpam-4930	405	21	designs	design	NOUN
ejpam-4930	405	22	of	of	ADP
ejpam-4930	405	23	tuned	tune	VERB
ejpam-4930	405	24	inerter	inerter	ADJ
ejpam-4930	405	25	dampers	damper	NOUN
ejpam-4930	405	26	for	for	ADP
ejpam-4930	405	27	base	base	NOUN
ejpam-4930	405	28	motion	motion	NOUN
ejpam-4930	405	29	excited	excite	VERB
ejpam-4930	405	30	structures	structure	NOUN
ejpam-4930	405	31	with	with	ADP
ejpam-4930	405	32	inherent	inherent	ADJ
ejpam-4930	405	33	damping	damping	NOUN
ejpam-4930	405	34	.	.	PUNCT
ejpam-4930	406	1	journal	journal	NOUN
ejpam-4930	406	2	of	of	ADP
ejpam-4930	406	3	vibration	vibration	NOUN
ejpam-4930	406	4	and	and	CCONJ
ejpam-4930	406	5	control	control	NOUN
ejpam-4930	406	6	,	,	PUNCT
ejpam-4930	406	7	29(15	29(15	NUM
ejpam-4930	406	8	-	-	PUNCT
ejpam-4930	406	9	16):3692–3707	16):3692–3707	NUM
ejpam-4930	406	10	,	,	PUNCT
ejpam-4930	406	11	2023	2023	NUM
ejpam-4930	406	12	.	.	PUNCT
ejpam-4930	407	1	[	[	X
ejpam-4930	407	2	33	33	NUM
ejpam-4930	407	3	]	]	X
ejpam-4930	407	4	wei	wei	PROPN
ejpam-4930	407	5	-	-	PROPN
ejpam-4930	407	6	xing	xing	PROPN
ejpam-4930	407	7	zhang	zhang	PROPN
ejpam-4930	407	8	,	,	PUNCT
ejpam-4930	407	9	wei	wei	PROPN
ejpam-4930	407	10	zhang	zhang	PROPN
ejpam-4930	407	11	,	,	PUNCT
ejpam-4930	407	12	dong	dong	PROPN
ejpam-4930	407	13	-	-	PUNCT
ejpam-4930	407	14	shuo	shuo	PROPN
ejpam-4930	407	15	yang	yang	PROPN
ejpam-4930	407	16	,	,	PUNCT
ejpam-4930	407	17	zhong	zhong	PROPN
ejpam-4930	407	18	luo	luo	PROPN
ejpam-4930	407	19	,	,	PUNCT
ejpam-4930	407	20	and	and	CCONJ
ejpam-4930	407	21	xiang	xiang	PROPN
ejpam-4930	407	22	-	-	PROPN
ejpam-4930	407	23	ying	ying	PROPN
ejpam-4930	407	24	guo	guo	PROPN
ejpam-4930	407	25	.	.	PUNCT
ejpam-4930	407	26	vibration	vibration	NOUN
ejpam-4930	407	27	suppression	suppression	NOUN
ejpam-4930	407	28	of	of	ADP
ejpam-4930	407	29	nonlinear	nonlinear	ADJ
ejpam-4930	407	30	laminated	laminate	VERB
ejpam-4930	407	31	composite	composite	ADJ
ejpam-4930	407	32	plates	plate	NOUN
ejpam-4930	407	33	using	use	VERB
ejpam-4930	407	34	internal	internal	ADJ
ejpam-4930	407	35	oscillatorenhanced	oscillatorenhance	VERB
ejpam-4930	407	36	nonlinear	nonlinear	ADJ
ejpam-4930	407	37	energy	energy	NOUN
ejpam-4930	407	38	sinks	sink	NOUN
ejpam-4930	407	39	.	.	PUNCT
ejpam-4930	408	1	engineering	engineering	NOUN
ejpam-4930	408	2	structures	structure	NOUN
ejpam-4930	408	3	,	,	PUNCT
ejpam-4930	408	4	279:115579	279:115579	NUM
ejpam-4930	408	5	,	,	PUNCT
ejpam-4930	408	6	2023	2023	NUM
ejpam-4930	408	7	.	.	PUNCT
ejpam-4930	409	1	[	[	X
ejpam-4930	409	2	34	34	NUM
ejpam-4930	409	3	]	]	X
ejpam-4930	409	4	j	j	PROPN
ejpam-4930	409	5	zhou	zhou	PROPN
ejpam-4930	409	6	,	,	PUNCT
ejpam-4930	409	7	w	w	PROPN
ejpam-4930	409	8	zhang	zhang	PROPN
ejpam-4930	409	9	,	,	PUNCT
ejpam-4930	409	10	xs	xs	PROPN
ejpam-4930	409	11	wang	wang	PROPN
ejpam-4930	409	12	,	,	PUNCT
ejpam-4930	409	13	bp	bp	PROPN
ejpam-4930	409	14	mann	mann	PROPN
ejpam-4930	409	15	,	,	PUNCT
ejpam-4930	409	16	and	and	CCONJ
ejpam-4930	409	17	eh	eh	INTJ
ejpam-4930	409	18	dowell	dowell	PROPN
ejpam-4930	409	19	.	.	PUNCT
ejpam-4930	410	1	primary	primary	ADJ
ejpam-4930	410	2	resonance	resonance	NOUN
ejpam-4930	410	3	suppression	suppression	NOUN
ejpam-4930	410	4	of	of	ADP
ejpam-4930	410	5	a	a	DET
ejpam-4930	410	6	base	base	NOUN
ejpam-4930	410	7	excited	excite	VERB
ejpam-4930	410	8	oscillator	oscillator	NOUN
ejpam-4930	410	9	using	use	VERB
ejpam-4930	410	10	a	a	DET
ejpam-4930	410	11	spatially	spatially	ADV
ejpam-4930	410	12	constrained	constrain	VERB
ejpam-4930	410	13	system	system	NOUN
ejpam-4930	410	14	:	:	PUNCT
ejpam-4930	410	15	theory	theory	NOUN
ejpam-4930	410	16	and	and	CCONJ
ejpam-4930	410	17	experiment	experiment	NOUN
ejpam-4930	410	18	.	.	PUNCT
ejpam-4930	411	1	journal	journal	PROPN
ejpam-4930	411	2	of	of	ADP
ejpam-4930	411	3	sound	sound	NOUN
ejpam-4930	411	4	and	and	CCONJ
ejpam-4930	411	5	vibration	vibration	NOUN
ejpam-4930	411	6	,	,	PUNCT
ejpam-4930	411	7	496:115928	496:115928	NUM
ejpam-4930	411	8	,	,	PUNCT
ejpam-4930	411	9	2021	2021	NUM
ejpam-4930	411	10	.	.	PUNCT