id	sid	tid	token	lemma	pos
ejpam-4929	1	1	european	european	PROPN
ejpam-4929	1	2	journal	journal	PROPN
ejpam-4929	1	3	of	of	ADP
ejpam-4929	1	4	pure	pure	ADJ
ejpam-4929	1	5	and	and	CCONJ
ejpam-4929	1	6	applied	apply	VERB
ejpam-4929	1	7	mathematics	mathematic	NOUN
ejpam-4929	1	8	vol	vol	NOUN
ejpam-4929	1	9	.	.	PUNCT
ejpam-4929	2	1	16	16	NUM
ejpam-4929	2	2	,	,	PUNCT
ejpam-4929	2	3	no	no	INTJ
ejpam-4929	2	4	.	.	NOUN
ejpam-4929	2	5	4	4	NUM
ejpam-4929	2	6	,	,	PUNCT
ejpam-4929	2	7	2023	2023	NUM
ejpam-4929	2	8	,	,	PUNCT
ejpam-4929	2	9	2703	2703	NUM
ejpam-4929	2	10	-	-	SYM
ejpam-4929	2	11	2728	2728	NUM
ejpam-4929	2	12	issn	issn	VERB
ejpam-4929	2	13	1307	1307	NUM
ejpam-4929	2	14	-	-	SYM
ejpam-4929	2	15	5543	5543	NUM
ejpam-4929	2	16	–	–	PUNCT
ejpam-4929	2	17	ejpam.com	ejpam.com	X
ejpam-4929	2	18	published	publish	VERB
ejpam-4929	2	19	by	by	ADP
ejpam-4929	2	20	new	new	PROPN
ejpam-4929	2	21	york	york	PROPN
ejpam-4929	2	22	business	business	PROPN
ejpam-4929	2	23	global	global	PROPN
ejpam-4929	2	24	on	on	ADP
ejpam-4929	2	25	controlling	control	VERB
ejpam-4929	2	26	,	,	PUNCT
ejpam-4929	2	27	vibration	vibration	NOUN
ejpam-4929	2	28	performance	performance	NOUN
ejpam-4929	2	29	and	and	CCONJ
ejpam-4929	2	30	energy	energy	NOUN
ejpam-4929	2	31	transfer	transfer	NOUN
ejpam-4929	2	32	of	of	ADP
ejpam-4929	2	33	an	an	DET
ejpam-4929	2	34	offshore	offshore	ADJ
ejpam-4929	2	35	wind	wind	NOUN
ejpam-4929	2	36	turbine	turbine	NOUN
ejpam-4929	2	37	tower	tower	NOUN
ejpam-4929	2	38	system	system	NOUN
ejpam-4929	2	39	via	via	ADP
ejpam-4929	2	40	ppf	ppf	PROPN
ejpam-4929	2	41	controller	controller	PROPN
ejpam-4929	2	42	ateq	ateq	PROPN
ejpam-4929	2	43	alsaadi1,∗	alsaadi1,∗	PROPN
ejpam-4929	2	44	,	,	PUNCT
ejpam-4929	2	45	y.	y.	PROPN
ejpam-4929	2	46	s.	s.	PROPN
ejpam-4929	2	47	hamed1	hamed1	PROPN
ejpam-4929	3	1	1department	1department	NUM
ejpam-4929	3	2	of	of	ADP
ejpam-4929	3	3	mathematics	mathematic	NOUN
ejpam-4929	3	4	and	and	CCONJ
ejpam-4929	3	5	statistics	statistic	NOUN
ejpam-4929	3	6	,	,	PUNCT
ejpam-4929	3	7	college	college	NOUN
ejpam-4929	3	8	of	of	ADP
ejpam-4929	3	9	science	science	PROPN
ejpam-4929	3	10	,	,	PUNCT
ejpam-4929	3	11	taif	taif	PROPN
ejpam-4929	3	12	university	university	PROPN
ejpam-4929	3	13	,	,	PUNCT
ejpam-4929	3	14	p.	p.	PROPN
ejpam-4929	3	15	o.	o.	PROPN
ejpam-4929	3	16	box	box	PROPN
ejpam-4929	3	17	11099	11099	NUM
ejpam-4929	3	18	,	,	PUNCT
ejpam-4929	3	19	taif	taif	PROPN
ejpam-4929	3	20	21944	21944	NUM
ejpam-4929	3	21	,	,	PUNCT
ejpam-4929	3	22	saudi	saudi	PROPN
ejpam-4929	3	23	arabia	arabia	PROPN
ejpam-4929	3	24	abstract	abstract	NOUN
ejpam-4929	3	25	.	.	PUNCT
ejpam-4929	4	1	in	in	ADP
ejpam-4929	4	2	this	this	DET
ejpam-4929	4	3	paper	paper	NOUN
ejpam-4929	4	4	,	,	PUNCT
ejpam-4929	4	5	we	we	PRON
ejpam-4929	4	6	focus	focus	VERB
ejpam-4929	4	7	on	on	ADP
ejpam-4929	4	8	the	the	DET
ejpam-4929	4	9	control	control	NOUN
ejpam-4929	4	10	,	,	PUNCT
ejpam-4929	4	11	energy	energy	NOUN
ejpam-4929	4	12	transfer	transfer	NOUN
ejpam-4929	4	13	,	,	PUNCT
ejpam-4929	4	14	and	and	CCONJ
ejpam-4929	4	15	vibration	vibration	NOUN
ejpam-4929	4	16	performance	performance	NOUN
ejpam-4929	4	17	under	under	ADP
ejpam-4929	4	18	multi	multi	ADJ
ejpam-4929	4	19	mixed	mixed	ADJ
ejpam-4929	4	20	excitations	excitation	NOUN
ejpam-4929	4	21	for	for	ADP
ejpam-4929	4	22	the	the	DET
ejpam-4929	4	23	offshore	offshore	ADJ
ejpam-4929	4	24	wind	wind	NOUN
ejpam-4929	4	25	turbine	turbine	NOUN
ejpam-4929	4	26	tower	tower	NOUN
ejpam-4929	4	27	(	(	PUNCT
ejpam-4929	4	28	owtt	owtt	NOUN
ejpam-4929	4	29	)	)	PUNCT
ejpam-4929	4	30	system	system	NOUN
ejpam-4929	4	31	.	.	PUNCT
ejpam-4929	5	1	for	for	ADP
ejpam-4929	5	2	reducing	reduce	VERB
ejpam-4929	5	3	the	the	DET
ejpam-4929	5	4	controlled	control	VERB
ejpam-4929	5	5	system	system	NOUN
ejpam-4929	5	6	oscillations	oscillation	NOUN
ejpam-4929	5	7	,	,	PUNCT
ejpam-4929	5	8	the	the	DET
ejpam-4929	5	9	positive	positive	ADJ
ejpam-4929	5	10	position	position	NOUN
ejpam-4929	5	11	feedback	feedback	NOUN
ejpam-4929	5	12	(	(	PUNCT
ejpam-4929	5	13	ppf	ppf	PROPN
ejpam-4929	5	14	)	)	PUNCT
ejpam-4929	5	15	controller	controller	NOUN
ejpam-4929	5	16	is	be	AUX
ejpam-4929	5	17	applied	apply	VERB
ejpam-4929	5	18	.	.	PUNCT
ejpam-4929	6	1	the	the	DET
ejpam-4929	6	2	energy	energy	NOUN
ejpam-4929	6	3	transfers	transfer	NOUN
ejpam-4929	6	4	occur	occur	VERB
ejpam-4929	6	5	in	in	ADP
ejpam-4929	6	6	the	the	DET
ejpam-4929	6	7	system	system	NOUN
ejpam-4929	6	8	of	of	ADP
ejpam-4929	6	9	wind	wind	NOUN
ejpam-4929	6	10	turbine	turbine	NOUN
ejpam-4929	6	11	by	by	ADP
ejpam-4929	6	12	adding	add	VERB
ejpam-4929	6	13	the	the	DET
ejpam-4929	6	14	ppf	ppf	PROPN
ejpam-4929	6	15	controller	controller	NOUN
ejpam-4929	6	16	to	to	ADP
ejpam-4929	6	17	the	the	DET
ejpam-4929	6	18	system	system	NOUN
ejpam-4929	6	19	equations	equation	NOUN
ejpam-4929	6	20	.	.	PUNCT
ejpam-4929	7	1	with	with	ADP
ejpam-4929	7	2	the	the	DET
ejpam-4929	7	3	help	help	NOUN
ejpam-4929	7	4	of	of	ADP
ejpam-4929	7	5	the	the	DET
ejpam-4929	7	6	phase	phase	NOUN
ejpam-4929	7	7	plane	plane	NOUN
ejpam-4929	7	8	approach	approach	NOUN
ejpam-4929	7	9	,	,	PUNCT
ejpam-4929	7	10	frequency	frequency	NOUN
ejpam-4929	7	11	response	response	NOUN
ejpam-4929	7	12	equations	equation	NOUN
ejpam-4929	7	13	,	,	PUNCT
ejpam-4929	7	14	and	and	CCONJ
ejpam-4929	7	15	poincare	poincare	PROPN
ejpam-4929	7	16	maps	map	NOUN
ejpam-4929	7	17	,	,	PUNCT
ejpam-4929	7	18	the	the	DET
ejpam-4929	7	19	bifurcation	bifurcation	NOUN
ejpam-4929	7	20	and	and	CCONJ
ejpam-4929	7	21	stability	stability	NOUN
ejpam-4929	7	22	at	at	ADP
ejpam-4929	7	23	worst	bad	ADJ
ejpam-4929	7	24	resonance	resonance	NOUN
ejpam-4929	7	25	cases	case	NOUN
ejpam-4929	7	26	are	be	AUX
ejpam-4929	7	27	sought	seek	VERB
ejpam-4929	7	28	and	and	CCONJ
ejpam-4929	7	29	investigated	investigate	VERB
ejpam-4929	7	30	.	.	PUNCT
ejpam-4929	8	1	the	the	DET
ejpam-4929	8	2	vibration	vibration	NOUN
ejpam-4929	8	3	behaviors	behavior	NOUN
ejpam-4929	8	4	are	be	AUX
ejpam-4929	8	5	studied	study	VERB
ejpam-4929	8	6	numerically	numerically	ADV
ejpam-4929	8	7	at	at	ADP
ejpam-4929	8	8	different	different	ADJ
ejpam-4929	8	9	parameters	parameter	NOUN
ejpam-4929	8	10	values	value	NOUN
ejpam-4929	8	11	for	for	ADP
ejpam-4929	8	12	the	the	DET
ejpam-4929	8	13	wind	wind	NOUN
ejpam-4929	8	14	turbine	turbine	NOUN
ejpam-4929	8	15	system	system	NOUN
ejpam-4929	8	16	.	.	PUNCT
ejpam-4929	9	1	additionally	additionally	ADV
ejpam-4929	9	2	,	,	PUNCT
ejpam-4929	9	3	the	the	DET
ejpam-4929	9	4	response	response	NOUN
ejpam-4929	9	5	and	and	CCONJ
ejpam-4929	9	6	numerical	numerical	ADJ
ejpam-4929	9	7	outcomes	outcome	NOUN
ejpam-4929	9	8	are	be	AUX
ejpam-4929	9	9	examined	examine	VERB
ejpam-4929	9	10	,	,	PUNCT
ejpam-4929	9	11	also	also	ADV
ejpam-4929	9	12	,	,	PUNCT
ejpam-4929	9	13	the	the	DET
ejpam-4929	9	14	approach	approach	NOUN
ejpam-4929	9	15	of	of	ADP
ejpam-4929	9	16	multiple	multiple	ADJ
ejpam-4929	9	17	scales	scale	NOUN
ejpam-4929	9	18	is	be	AUX
ejpam-4929	9	19	used	use	VERB
ejpam-4929	9	20	to	to	PART
ejpam-4929	9	21	establish	establish	VERB
ejpam-4929	9	22	the	the	DET
ejpam-4929	9	23	approximate	approximate	ADJ
ejpam-4929	9	24	solutions	solution	NOUN
ejpam-4929	9	25	of	of	ADP
ejpam-4929	9	26	the	the	DET
ejpam-4929	9	27	wind	wind	NOUN
ejpam-4929	9	28	turbine	turbine	NOUN
ejpam-4929	9	29	-	-	PUNCT
ejpam-4929	9	30	controlled	control	VERB
ejpam-4929	9	31	system	system	NOUN
ejpam-4929	9	32	.	.	PUNCT
ejpam-4929	10	1	besides	besides	SCONJ
ejpam-4929	10	2	that	that	PRON
ejpam-4929	10	3	,	,	PUNCT
ejpam-4929	10	4	maple	maple	NOUN
ejpam-4929	10	5	and	and	CCONJ
ejpam-4929	10	6	matlab	matlab	PROPN
ejpam-4929	10	7	algorithms	algorithm	NOUN
ejpam-4929	10	8	are	be	AUX
ejpam-4929	10	9	used	use	VERB
ejpam-4929	10	10	to	to	PART
ejpam-4929	10	11	implement	implement	VERB
ejpam-4929	10	12	the	the	DET
ejpam-4929	10	13	numerical	numerical	ADJ
ejpam-4929	10	14	results	result	NOUN
ejpam-4929	10	15	and	and	CCONJ
ejpam-4929	10	16	compare	compare	VERB
ejpam-4929	10	17	analytical	analytical	ADJ
ejpam-4929	10	18	solutions	solution	NOUN
ejpam-4929	10	19	with	with	ADP
ejpam-4929	10	20	numerical	numerical	ADJ
ejpam-4929	10	21	behavior	behavior	NOUN
ejpam-4929	10	22	.	.	PUNCT
ejpam-4929	11	1	the	the	DET
ejpam-4929	11	2	results	result	NOUN
ejpam-4929	11	3	also	also	ADV
ejpam-4929	11	4	be	be	AUX
ejpam-4929	11	5	compared	compare	VERB
ejpam-4929	11	6	to	to	ADP
ejpam-4929	11	7	previous	previous	ADJ
ejpam-4929	11	8	research	research	NOUN
ejpam-4929	11	9	that	that	PRON
ejpam-4929	11	10	has	have	AUX
ejpam-4929	11	11	been	be	AUX
ejpam-4929	11	12	published	publish	VERB
ejpam-4929	11	13	.	.	PUNCT
ejpam-4929	12	1	2020	2020	NUM
ejpam-4929	12	2	mathematics	mathematic	NOUN
ejpam-4929	12	3	subject	subject	NOUN
ejpam-4929	12	4	classifications	classification	NOUN
ejpam-4929	12	5	:	:	PUNCT
ejpam-4929	12	6	34a34	34a34	NUM
ejpam-4929	12	7	,	,	PUNCT
ejpam-4929	12	8	34c15	34c15	NUM
ejpam-4929	12	9	,	,	PUNCT
ejpam-4929	12	10	34c23	34c23	NUM
ejpam-4929	12	11	,	,	PUNCT
ejpam-4929	12	12	34c25	34c25	NUM
ejpam-4929	12	13	,	,	PUNCT
ejpam-4929	12	14	34d20	34d20	NUM
ejpam-4929	12	15	,	,	PUNCT
ejpam-4929	12	16	34e13	34e13	NUM
ejpam-4929	12	17	,	,	PUNCT
ejpam-4929	12	18	37n15	37n15	NUM
ejpam-4929	12	19	,	,	PUNCT
ejpam-4929	12	20	70b05	70b05	NUM
ejpam-4929	12	21	,	,	PUNCT
ejpam-4929	12	22	70k05	70k05	NUM
ejpam-4929	12	23	,	,	PUNCT
ejpam-4929	12	24	70k40	70k40	NUM
ejpam-4929	12	25	,	,	PUNCT
ejpam-4929	12	26	70k42	70k42	NUM
ejpam-4929	12	27	,	,	PUNCT
ejpam-4929	12	28	70k50	70k50	NUM
ejpam-4929	12	29	key	key	ADJ
ejpam-4929	12	30	words	word	NOUN
ejpam-4929	12	31	and	and	CCONJ
ejpam-4929	12	32	phrases	phrase	NOUN
ejpam-4929	12	33	:	:	PUNCT
ejpam-4929	12	34	offshore	offshore	ADJ
ejpam-4929	12	35	wind	wind	NOUN
ejpam-4929	12	36	turbine	turbine	NOUN
ejpam-4929	12	37	system	system	NOUN
ejpam-4929	12	38	,	,	PUNCT
ejpam-4929	12	39	energy	energy	NOUN
ejpam-4929	12	40	transfer	transfer	NOUN
ejpam-4929	12	41	,	,	PUNCT
ejpam-4929	12	42	vibration	vibration	NOUN
ejpam-4929	12	43	control	control	NOUN
ejpam-4929	12	44	,	,	PUNCT
ejpam-4929	12	45	stability	stability	NOUN
ejpam-4929	12	46	,	,	PUNCT
ejpam-4929	12	47	positive	positive	ADJ
ejpam-4929	12	48	position	position	NOUN
ejpam-4929	12	49	feedback	feedback	NOUN
ejpam-4929	12	50	control	control	NOUN
ejpam-4929	12	51	1	1	NUM
ejpam-4929	12	52	.	.	PUNCT
ejpam-4929	13	1	introduction	introduction	NOUN
ejpam-4929	13	2	renewable	renewable	ADJ
ejpam-4929	13	3	energy	energy	NOUN
ejpam-4929	13	4	has	have	AUX
ejpam-4929	13	5	grown	grow	VERB
ejpam-4929	13	6	in	in	ADP
ejpam-4929	13	7	importance	importance	NOUN
ejpam-4929	13	8	as	as	ADP
ejpam-4929	13	9	a	a	DET
ejpam-4929	13	10	topic	topic	NOUN
ejpam-4929	13	11	of	of	ADP
ejpam-4929	13	12	these	these	DET
ejpam-4929	13	13	investigations	investigation	NOUN
ejpam-4929	13	14	over	over	ADP
ejpam-4929	13	15	the	the	DET
ejpam-4929	13	16	past	past	ADJ
ejpam-4929	13	17	few	few	ADJ
ejpam-4929	13	18	decades	decade	NOUN
ejpam-4929	13	19	.	.	PUNCT
ejpam-4929	14	1	on	on	ADP
ejpam-4929	14	2	a	a	DET
ejpam-4929	14	3	worldwide	worldwide	ADJ
ejpam-4929	14	4	scale	scale	NOUN
ejpam-4929	14	5	,	,	PUNCT
ejpam-4929	14	6	the	the	DET
ejpam-4929	14	7	demand	demand	NOUN
ejpam-4929	14	8	for	for	ADP
ejpam-4929	14	9	energy	energy	NOUN
ejpam-4929	14	10	has	have	AUX
ejpam-4929	14	11	been	be	AUX
ejpam-4929	14	12	steadily	steadily	ADV
ejpam-4929	14	13	rising	rise	VERB
ejpam-4929	14	14	.	.	PUNCT
ejpam-4929	15	1	this	this	DET
ejpam-4929	15	2	increase	increase	NOUN
ejpam-4929	15	3	motivates	motivate	VERB
ejpam-4929	15	4	us	we	PRON
ejpam-4929	15	5	to	to	PART
ejpam-4929	15	6	start	start	VERB
ejpam-4929	15	7	looking	look	VERB
ejpam-4929	15	8	at	at	ADP
ejpam-4929	15	9	alternative	alternative	ADJ
ejpam-4929	15	10	energy	energy	NOUN
ejpam-4929	15	11	production	production	NOUN
ejpam-4929	15	12	strategies	strategy	NOUN
ejpam-4929	15	13	.	.	PUNCT
ejpam-4929	16	1	one	one	NUM
ejpam-4929	16	2	of	of	ADP
ejpam-4929	16	3	the	the	DET
ejpam-4929	16	4	most	most	ADV
ejpam-4929	16	5	difficult	difficult	ADJ
ejpam-4929	16	6	issues	issue	NOUN
ejpam-4929	16	7	our	our	PRON
ejpam-4929	16	8	society	society	NOUN
ejpam-4929	16	9	is	be	AUX
ejpam-4929	16	10	currently	currently	ADV
ejpam-4929	16	11	experiencing	experience	VERB
ejpam-4929	16	12	is	be	AUX
ejpam-4929	16	13	the	the	DET
ejpam-4929	16	14	creation	creation	NOUN
ejpam-4929	16	15	of	of	ADP
ejpam-4929	16	16	a	a	DET
ejpam-4929	16	17	sustainable	sustainable	ADJ
ejpam-4929	16	18	and	and	CCONJ
ejpam-4929	16	19	renewable	renewable	ADJ
ejpam-4929	16	20	energy	energy	NOUN
ejpam-4929	16	21	economy	economy	NOUN
ejpam-4929	16	22	.	.	PUNCT
ejpam-4929	17	1	the	the	DET
ejpam-4929	17	2	cost	cost	NOUN
ejpam-4929	17	3	of	of	ADP
ejpam-4929	17	4	wind	wind	NOUN
ejpam-4929	17	5	energy	energy	NOUN
ejpam-4929	17	6	has	have	AUX
ejpam-4929	17	7	been	be	AUX
ejpam-4929	17	8	the	the	DET
ejpam-4929	17	9	main	main	ADJ
ejpam-4929	17	10	motivator	motivator	NOUN
ejpam-4929	17	11	for	for	ADP
ejpam-4929	17	12	the	the	DET
ejpam-4929	17	13	shift	shift	NOUN
ejpam-4929	17	14	.	.	PUNCT
ejpam-4929	18	1	wind	wind	NOUN
ejpam-4929	18	2	energy	energy	NOUN
ejpam-4929	18	3	is	be	AUX
ejpam-4929	18	4	projected	project	VERB
ejpam-4929	18	5	to	to	PART
ejpam-4929	18	6	contribute	contribute	VERB
ejpam-4929	18	7	significantly	significantly	ADV
ejpam-4929	18	8	in	in	ADP
ejpam-4929	18	9	terms	term	NOUN
ejpam-4929	18	10	of	of	ADP
ejpam-4929	18	11	renewable	renewable	ADJ
ejpam-4929	18	12	energy	energy	NOUN
ejpam-4929	18	13	in	in	ADP
ejpam-4929	18	14	the	the	DET
ejpam-4929	18	15	coming	come	VERB
ejpam-4929	18	16	decades	decade	NOUN
ejpam-4929	18	17	to	to	PART
ejpam-4929	18	18	reach	reach	VERB
ejpam-4929	18	19	such	such	DET
ejpam-4929	18	20	an	an	DET
ejpam-4929	18	21	energy	energy	NOUN
ejpam-4929	18	22	source	source	NOUN
ejpam-4929	18	23	.	.	PUNCT
ejpam-4929	19	1	by	by	ADP
ejpam-4929	19	2	about	about	ADV
ejpam-4929	19	3	a	a	DET
ejpam-4929	19	4	third	third	ADJ
ejpam-4929	19	5	∗corresponding	∗corresponde	VERB
ejpam-4929	19	6	author	author	NOUN
ejpam-4929	19	7	.	.	PUNCT
ejpam-4929	20	1	doi	doi	NOUN
ejpam-4929	20	2	:	:	PUNCT
ejpam-4929	20	3	https://doi.org/10.29020/nybg.ejpam.v16i4.4929	https://doi.org/10.29020/nybg.ejpam.v16i4.4929	PROPN
ejpam-4929	20	4	email	email	NOUN
ejpam-4929	20	5	addresses	address	NOUN
ejpam-4929	20	6	:	:	PUNCT
ejpam-4929	21	1	ateq@tu.edu.sa	ateq@tu.edu.sa	PROPN
ejpam-4929	21	2	(	(	PUNCT
ejpam-4929	21	3	a.	a.	NOUN
ejpam-4929	21	4	alsaadi	alsaadi	PROPN
ejpam-4929	21	5	)	)	PUNCT
ejpam-4929	21	6	,	,	PUNCT
ejpam-4929	21	7	yasersalah@	yasersalah@	ADP
ejpam-4929	21	8	tu.edu.sa	tu.edu.sa	PROPN
ejpam-4929	21	9	(	(	PUNCT
ejpam-4929	21	10	y.	y.	PROPN
ejpam-4929	21	11	s.	s.	PROPN
ejpam-4929	21	12	hamed	hamed	PROPN
ejpam-4929	21	13	)	)	PUNCT
ejpam-4929	21	14	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4929	21	15	2703	2703	NUM
ejpam-4929	22	1	©	©	PROPN
ejpam-4929	22	2	2023	2023	NUM
ejpam-4929	22	3	ejpam	ejpam	NOUN
ejpam-4929	22	4	all	all	DET
ejpam-4929	22	5	rights	right	NOUN
ejpam-4929	22	6	reserved	reserve	VERB
ejpam-4929	22	7	.	.	PUNCT
ejpam-4929	23	1	a.	a.	NOUN
ejpam-4929	23	2	alsaadi	alsaadi	NOUN
ejpam-4929	23	3	,	,	PUNCT
ejpam-4929	23	4	y.	y.	PROPN
ejpam-4929	23	5	s.	s.	PROPN
ejpam-4929	23	6	hamed	hamed	PROPN
ejpam-4929	23	7	/	/	SYM
ejpam-4929	23	8	eur	eur	PROPN
ejpam-4929	23	9	.	.	PUNCT
ejpam-4929	24	1	j.	j.	PROPN
ejpam-4929	24	2	pure	pure	PROPN
ejpam-4929	24	3	appl	appl	PROPN
ejpam-4929	24	4	.	.	PROPN
ejpam-4929	24	5	math	math	PROPN
ejpam-4929	24	6	,	,	PUNCT
ejpam-4929	24	7	16	16	NUM
ejpam-4929	24	8	(	(	PUNCT
ejpam-4929	24	9	4	4	NUM
ejpam-4929	24	10	)	)	PUNCT
ejpam-4929	24	11	(	(	PUNCT
ejpam-4929	24	12	2023	2023	NUM
ejpam-4929	24	13	)	)	PUNCT
ejpam-4929	24	14	,	,	PUNCT
ejpam-4929	24	15	2703	2703	NUM
ejpam-4929	24	16	-	-	SYM
ejpam-4929	24	17	2728	2728	NUM
ejpam-4929	24	18	2704	2704	NUM
ejpam-4929	24	19	since	since	SCONJ
ejpam-4929	24	20	2009	2009	NUM
ejpam-4929	24	21	,	,	PUNCT
ejpam-4929	24	22	wind	wind	NOUN
ejpam-4929	24	23	turbine	turbine	NOUN
ejpam-4929	24	24	prices	price	NOUN
ejpam-4929	24	25	have	have	AUX
ejpam-4929	24	26	fallen	fall	VERB
ejpam-4929	24	27	.	.	PUNCT
ejpam-4929	25	1	production	production	NOUN
ejpam-4929	25	2	of	of	ADP
ejpam-4929	25	3	wind	wind	NOUN
ejpam-4929	25	4	energy	energy	NOUN
ejpam-4929	25	5	is	be	AUX
ejpam-4929	25	6	one	one	NUM
ejpam-4929	25	7	of	of	ADP
ejpam-4929	25	8	the	the	DET
ejpam-4929	25	9	most	most	ADV
ejpam-4929	25	10	effective	effective	ADJ
ejpam-4929	25	11	conservation	conservation	NOUN
ejpam-4929	25	12	projects	project	NOUN
ejpam-4929	25	13	[	[	X
ejpam-4929	25	14	1	1	NUM
ejpam-4929	25	15	,	,	PUNCT
ejpam-4929	25	16	2	2	NUM
ejpam-4929	25	17	]	]	PUNCT
ejpam-4929	25	18	.	.	PUNCT
ejpam-4929	26	1	the	the	DET
ejpam-4929	26	2	rayleigh	rayleigh	PROPN
ejpam-4929	26	3	’s	’s	PART
ejpam-4929	26	4	energy	energy	NOUN
ejpam-4929	26	5	approach	approach	NOUN
ejpam-4929	26	6	and	and	CCONJ
ejpam-4929	26	7	ansys	ansys	PROPN
ejpam-4929	26	8	fsi	fsi	PROPN
ejpam-4929	26	9	analysis	analysis	NOUN
ejpam-4929	26	10	are	be	AUX
ejpam-4929	26	11	used	use	VERB
ejpam-4929	26	12	to	to	PART
ejpam-4929	26	13	determine	determine	VERB
ejpam-4929	26	14	the	the	DET
ejpam-4929	26	15	dynamic	dynamic	ADJ
ejpam-4929	26	16	effects	effect	NOUN
ejpam-4929	26	17	of	of	ADP
ejpam-4929	26	18	the	the	DET
ejpam-4929	26	19	blades	blade	NOUN
ejpam-4929	26	20	on	on	ADP
ejpam-4929	26	21	the	the	DET
ejpam-4929	26	22	tower	tower	NOUN
ejpam-4929	26	23	as	as	ADV
ejpam-4929	26	24	well	well	ADV
ejpam-4929	26	25	as	as	ADP
ejpam-4929	26	26	the	the	DET
ejpam-4929	26	27	effects	effect	NOUN
ejpam-4929	26	28	of	of	ADP
ejpam-4929	26	29	the	the	DET
ejpam-4929	26	30	earthquake	earthquake	NOUN
ejpam-4929	26	31	forces	force	NOUN
ejpam-4929	26	32	,	,	PUNCT
ejpam-4929	26	33	wave	wave	NOUN
ejpam-4929	26	34	,	,	PUNCT
ejpam-4929	26	35	and	and	CCONJ
ejpam-4929	26	36	wind	wind	NOUN
ejpam-4929	26	37	on	on	ADP
ejpam-4929	26	38	wind	wind	NOUN
ejpam-4929	26	39	turbine	turbine	NOUN
ejpam-4929	26	40	dynamic	dynamic	ADJ
ejpam-4929	26	41	behavior	behavior	NOUN
ejpam-4929	27	1	[	[	X
ejpam-4929	27	2	3	3	NUM
ejpam-4929	27	3	]	]	PUNCT
ejpam-4929	27	4	.	.	PUNCT
ejpam-4929	28	1	several	several	ADJ
ejpam-4929	28	2	parameters	parameter	NOUN
ejpam-4929	28	3	’	’	PART
ejpam-4929	28	4	effects	effect	NOUN
ejpam-4929	28	5	on	on	ADP
ejpam-4929	28	6	the	the	DET
ejpam-4929	28	7	behavior	behavior	NOUN
ejpam-4929	28	8	of	of	ADP
ejpam-4929	28	9	the	the	DET
ejpam-4929	28	10	(	(	PUNCT
ejpam-4929	28	11	owtt	owtt	NOUN
ejpam-4929	28	12	)	)	PUNCT
ejpam-4929	28	13	system	system	NOUN
ejpam-4929	28	14	and	and	CCONJ
ejpam-4929	28	15	the	the	DET
ejpam-4929	28	16	responses	response	NOUN
ejpam-4929	28	17	of	of	ADP
ejpam-4929	28	18	the	the	DET
ejpam-4929	28	19	soil	soil	NOUN
ejpam-4929	28	20	monopile	monopile	NOUN
ejpam-4929	28	21	tower	tower	NOUN
ejpam-4929	28	22	system	system	NOUN
ejpam-4929	28	23	are	be	AUX
ejpam-4929	28	24	the	the	DET
ejpam-4929	28	25	subject	subject	NOUN
ejpam-4929	28	26	of	of	ADP
ejpam-4929	28	27	this	this	DET
ejpam-4929	28	28	investigation	investigation	NOUN
ejpam-4929	28	29	[	[	X
ejpam-4929	28	30	4	4	NUM
ejpam-4929	28	31	]	]	PUNCT
ejpam-4929	28	32	.	.	PUNCT
ejpam-4929	29	1	the	the	DET
ejpam-4929	29	2	standard	standard	ADJ
ejpam-4929	29	3	model	model	NOUN
ejpam-4929	29	4	of	of	ADP
ejpam-4929	29	5	large	large	ADJ
ejpam-4929	29	6	rotating	rotate	VERB
ejpam-4929	29	7	wind	wind	NOUN
ejpam-4929	29	8	turbines	turbine	NOUN
ejpam-4929	29	9	active	active	ADJ
ejpam-4929	29	10	observer	observer	NOUN
ejpam-4929	29	11	with	with	ADP
ejpam-4929	29	12	effective	effective	ADJ
ejpam-4929	29	13	control	control	NOUN
ejpam-4929	29	14	approach	approach	NOUN
ejpam-4929	29	15	is	be	AUX
ejpam-4929	29	16	studied	study	VERB
ejpam-4929	29	17	[	[	PUNCT
ejpam-4929	29	18	5	5	NUM
ejpam-4929	29	19	]	]	PUNCT
ejpam-4929	29	20	.	.	PUNCT
ejpam-4929	30	1	a	a	DET
ejpam-4929	30	2	tuned	tune	VERB
ejpam-4929	30	3	mass	mass	ADJ
ejpam-4929	30	4	damper	damper	NOUN
ejpam-4929	30	5	and	and	CCONJ
ejpam-4929	30	6	passive	passive	ADJ
ejpam-4929	30	7	control	control	NOUN
ejpam-4929	30	8	approach	approach	NOUN
ejpam-4929	30	9	are	be	AUX
ejpam-4929	30	10	used	use	VERB
ejpam-4929	30	11	to	to	PART
ejpam-4929	30	12	study	study	VERB
ejpam-4929	30	13	the	the	DET
ejpam-4929	30	14	vibrations	vibration	NOUN
ejpam-4929	30	15	of	of	ADP
ejpam-4929	30	16	the	the	DET
ejpam-4929	30	17	nacelle	nacelle	NOUN
ejpam-4929	30	18	of	of	ADP
ejpam-4929	30	19	offshore	offshore	ADJ
ejpam-4929	30	20	wind	wind	NOUN
ejpam-4929	30	21	turbines	turbine	NOUN
ejpam-4929	30	22	and	and	CCONJ
ejpam-4929	30	23	spar	spar	NOUN
ejpam-4929	30	24	oscillations	oscillation	NOUN
ejpam-4929	30	25	[	[	X
ejpam-4929	30	26	6	6	NUM
ejpam-4929	30	27	]	]	PUNCT
ejpam-4929	30	28	.	.	PUNCT
ejpam-4929	31	1	the	the	DET
ejpam-4929	31	2	effects	effect	NOUN
ejpam-4929	31	3	of	of	ADP
ejpam-4929	31	4	an	an	DET
ejpam-4929	31	5	active	active	ADJ
ejpam-4929	31	6	control	control	NOUN
ejpam-4929	31	7	method	method	NOUN
ejpam-4929	31	8	are	be	AUX
ejpam-4929	31	9	investigated	investigate	VERB
ejpam-4929	31	10	for	for	ADP
ejpam-4929	31	11	a	a	DET
ejpam-4929	31	12	hybrid	hybrid	ADJ
ejpam-4929	31	13	mass	mass	NOUN
ejpam-4929	31	14	damper	damper	NOUN
ejpam-4929	31	15	and	and	CCONJ
ejpam-4929	31	16	a	a	DET
ejpam-4929	31	17	barge	barge	NOUN
ejpam-4929	31	18	floating	float	VERB
ejpam-4929	31	19	wind	wind	NOUN
ejpam-4929	31	20	turbine	turbine	NOUN
ejpam-4929	31	21	type	type	NOUN
ejpam-4929	31	22	[	[	X
ejpam-4929	31	23	7	7	NUM
ejpam-4929	31	24	]	]	PUNCT
ejpam-4929	31	25	.	.	PUNCT
ejpam-4929	32	1	mathematical	mathematical	ADJ
ejpam-4929	32	2	analysis	analysis	NOUN
ejpam-4929	32	3	study	study	NOUN
ejpam-4929	32	4	for	for	ADP
ejpam-4929	32	5	the	the	DET
ejpam-4929	32	6	wind	wind	NOUN
ejpam-4929	32	7	turbines	turbine	NOUN
ejpam-4929	32	8	dynamics	dynamic	NOUN
ejpam-4929	32	9	with	with	ADP
ejpam-4929	32	10	time	time	NOUN
ejpam-4929	32	11	scale	scale	NOUN
ejpam-4929	32	12	simulations	simulation	NOUN
ejpam-4929	32	13	and	and	CCONJ
ejpam-4929	32	14	control	control	NOUN
ejpam-4929	32	15	was	be	AUX
ejpam-4929	32	16	performed	perform	VERB
ejpam-4929	32	17	[	[	PUNCT
ejpam-4929	32	18	8	8	NUM
ejpam-4929	32	19	]	]	PUNCT
ejpam-4929	32	20	.	.	PUNCT
ejpam-4929	33	1	the	the	DET
ejpam-4929	33	2	wind	wind	NOUN
ejpam-4929	33	3	turbines	turbine	VERB
ejpam-4929	33	4	structural	structural	ADJ
ejpam-4929	33	5	vibrations	vibration	NOUN
ejpam-4929	33	6	and	and	CCONJ
ejpam-4929	33	7	its	its	PRON
ejpam-4929	33	8	high	high	ADJ
ejpam-4929	33	9	oscitations	oscitation	NOUN
ejpam-4929	33	10	was	be	AUX
ejpam-4929	33	11	suppressed	suppress	VERB
ejpam-4929	33	12	through	through	ADP
ejpam-4929	33	13	active	active	ADJ
ejpam-4929	33	14	controller	controller	NOUN
ejpam-4929	33	15	and	and	CCONJ
ejpam-4929	33	16	has	have	AUX
ejpam-4929	33	17	been	be	AUX
ejpam-4929	33	18	proposed	propose	VERB
ejpam-4929	33	19	in	in	ADP
ejpam-4929	33	20	[	[	X
ejpam-4929	33	21	9	9	NUM
ejpam-4929	33	22	]	]	PUNCT
ejpam-4929	33	23	.	.	PUNCT
ejpam-4929	34	1	with	with	ADP
ejpam-4929	34	2	two	two	NUM
ejpam-4929	34	3	different	different	ADJ
ejpam-4929	34	4	approaches	approach	NOUN
ejpam-4929	34	5	,	,	PUNCT
ejpam-4929	34	6	the	the	DET
ejpam-4929	34	7	environmental	environmental	ADJ
ejpam-4929	34	8	forces	force	NOUN
ejpam-4929	34	9	and	and	CCONJ
ejpam-4929	34	10	seismic	seismic	ADJ
ejpam-4929	34	11	loads	load	NOUN
ejpam-4929	34	12	effect	effect	NOUN
ejpam-4929	34	13	on	on	ADP
ejpam-4929	34	14	the	the	DET
ejpam-4929	34	15	offshore	offshore	ADJ
ejpam-4929	34	16	wind	wind	NOUN
ejpam-4929	34	17	tower	tower	NOUN
ejpam-4929	34	18	behavior	behavior	NOUN
ejpam-4929	34	19	is	be	AUX
ejpam-4929	34	20	performed	perform	VERB
ejpam-4929	34	21	[	[	PUNCT
ejpam-4929	34	22	10	10	NUM
ejpam-4929	34	23	]	]	PUNCT
ejpam-4929	34	24	.	.	PUNCT
ejpam-4929	35	1	the	the	DET
ejpam-4929	35	2	transfer	transfer	NOUN
ejpam-4929	35	3	the	the	DET
ejpam-4929	35	4	energy	energy	NOUN
ejpam-4929	35	5	and	and	CCONJ
ejpam-4929	35	6	reducing	reduce	VERB
ejpam-4929	35	7	the	the	DET
ejpam-4929	35	8	high	high	ADJ
ejpam-4929	35	9	oscillations	oscillation	NOUN
ejpam-4929	35	10	amplitudes	amplitude	NOUN
ejpam-4929	35	11	of	of	ADP
ejpam-4929	35	12	the	the	DET
ejpam-4929	35	13	wind	wind	NOUN
ejpam-4929	35	14	turbine	turbine	NOUN
ejpam-4929	35	15	system	system	NOUN
ejpam-4929	35	16	using	use	VERB
ejpam-4929	35	17	both	both	CCONJ
ejpam-4929	35	18	pd	pd	PROPN
ejpam-4929	35	19	and	and	CCONJ
ejpam-4929	35	20	npd	npd	NOUN
ejpam-4929	35	21	controller	controller	NOUN
ejpam-4929	35	22	are	be	AUX
ejpam-4929	35	23	well	well	ADV
ejpam-4929	35	24	studied	study	VERB
ejpam-4929	35	25	.	.	PUNCT
ejpam-4929	36	1	furthermore	furthermore	ADV
ejpam-4929	36	2	,	,	PUNCT
ejpam-4929	36	3	the	the	DET
ejpam-4929	36	4	poincaré	poincaré	ADJ
ejpam-4929	36	5	maps	map	NOUN
ejpam-4929	36	6	and	and	CCONJ
ejpam-4929	36	7	averaging	averaging	NOUN
ejpam-4929	36	8	method	method	NOUN
ejpam-4929	36	9	were	be	AUX
ejpam-4929	36	10	used	use	VERB
ejpam-4929	36	11	to	to	PART
ejpam-4929	36	12	study	study	VERB
ejpam-4929	36	13	the	the	DET
ejpam-4929	36	14	bifurcation	bifurcation	NOUN
ejpam-4929	36	15	analysis	analysis	NOUN
ejpam-4929	36	16	and	and	CCONJ
ejpam-4929	36	17	stability	stability	NOUN
ejpam-4929	36	18	at	at	ADP
ejpam-4929	36	19	the	the	DET
ejpam-4929	36	20	worst	bad	ADJ
ejpam-4929	36	21	resonance	resonance	NOUN
ejpam-4929	36	22	cases	case	NOUN
ejpam-4929	36	23	.	.	PUNCT
ejpam-4929	37	1	additionally	additionally	ADV
ejpam-4929	37	2	,	,	PUNCT
ejpam-4929	37	3	the	the	DET
ejpam-4929	37	4	wind	wind	NOUN
ejpam-4929	37	5	turbine	turbine	NOUN
ejpam-4929	37	6	system	system	NOUN
ejpam-4929	37	7	’s	’s	PART
ejpam-4929	37	8	frequency	frequency	NOUN
ejpam-4929	37	9	and	and	CCONJ
ejpam-4929	37	10	force	force	NOUN
ejpam-4929	37	11	response	response	NOUN
ejpam-4929	37	12	curves	curve	NOUN
ejpam-4929	37	13	were	be	AUX
ejpam-4929	37	14	drawn	draw	VERB
ejpam-4929	37	15	before	before	ADP
ejpam-4929	37	16	and	and	CCONJ
ejpam-4929	37	17	after	after	ADP
ejpam-4929	37	18	the	the	DET
ejpam-4929	37	19	addition	addition	NOUN
ejpam-4929	37	20	of	of	ADP
ejpam-4929	37	21	the	the	DET
ejpam-4929	37	22	control	control	NOUN
ejpam-4929	37	23	unit	unit	NOUN
ejpam-4929	37	24	.	.	PUNCT
ejpam-4929	38	1	in	in	ADP
ejpam-4929	38	2	addition	addition	NOUN
ejpam-4929	38	3	,	,	PUNCT
ejpam-4929	38	4	the	the	DET
ejpam-4929	38	5	numerical	numerical	ADJ
ejpam-4929	38	6	simulations	simulation	NOUN
ejpam-4929	38	7	were	be	AUX
ejpam-4929	38	8	carried	carry	VERB
ejpam-4929	38	9	out	out	ADP
ejpam-4929	38	10	and	and	CCONJ
ejpam-4929	38	11	control	control	VERB
ejpam-4929	38	12	parameters	parameter	NOUN
ejpam-4929	38	13	performances	performance	NOUN
ejpam-4929	38	14	on	on	ADP
ejpam-4929	38	15	the	the	DET
ejpam-4929	38	16	vibration	vibration	NOUN
ejpam-4929	38	17	magnitudes	magnitude	NOUN
ejpam-4929	38	18	was	be	AUX
ejpam-4929	38	19	performed	perform	VERB
ejpam-4929	38	20	applying	apply	VERB
ejpam-4929	38	21	with	with	ADP
ejpam-4929	38	22	maple	maple	NOUN
ejpam-4929	38	23	and	and	CCONJ
ejpam-4929	38	24	matlab	matlab	PROPN
ejpam-4929	38	25	algorithms	algorithms	PROPN
ejpam-4929	38	26	.	.	PUNCT
ejpam-4929	39	1	obtained	obtain	VERB
ejpam-4929	39	2	results	result	NOUN
ejpam-4929	39	3	demonstrate	demonstrate	VERB
ejpam-4929	39	4	the	the	DET
ejpam-4929	39	5	efficiency	efficiency	NOUN
ejpam-4929	39	6	of	of	ADP
ejpam-4929	39	7	the	the	DET
ejpam-4929	39	8	npd	npd	NOUN
ejpam-4929	39	9	controller	controller	NOUN
ejpam-4929	39	10	in	in	ADP
ejpam-4929	39	11	reducing	reduce	VERB
ejpam-4929	39	12	the	the	DET
ejpam-4929	39	13	nonlinear	nonlinear	ADJ
ejpam-4929	39	14	wind	wind	NOUN
ejpam-4929	39	15	oscillations	oscillation	NOUN
ejpam-4929	39	16	[	[	X
ejpam-4929	39	17	11	11	NUM
ejpam-4929	39	18	-	-	SYM
ejpam-4929	39	19	12	12	NUM
ejpam-4929	39	20	]	]	PUNCT
ejpam-4929	39	21	.	.	PUNCT
ejpam-4929	40	1	to	to	PART
ejpam-4929	40	2	eliminate	eliminate	VERB
ejpam-4929	40	3	the	the	DET
ejpam-4929	40	4	oscillator	oscillator	NOUN
ejpam-4929	40	5	’s	’s	PART
ejpam-4929	40	6	van	van	PROPN
ejpam-4929	40	7	der	der	PROPN
ejpam-4929	40	8	pol	pol	NOUN
ejpam-4929	40	9	duffing	duffe	VERB
ejpam-4929	40	10	with	with	ADP
ejpam-4929	40	11	mixed	mixed	ADJ
ejpam-4929	40	12	excitations	excitation	NOUN
ejpam-4929	40	13	,	,	PUNCT
ejpam-4929	40	14	the	the	DET
ejpam-4929	40	15	nonlinear	nonlinear	ADJ
ejpam-4929	40	16	integral	integral	ADJ
ejpam-4929	40	17	positive	positive	ADJ
ejpam-4929	40	18	position	position	NOUN
ejpam-4929	40	19	feedback	feedback	NOUN
ejpam-4929	40	20	(	(	PUNCT
ejpam-4929	40	21	nippf	nippf	NOUN
ejpam-4929	40	22	)	)	PUNCT
ejpam-4929	40	23	,	,	PUNCT
ejpam-4929	40	24	and	and	CCONJ
ejpam-4929	40	25	integral	integral	ADJ
ejpam-4929	40	26	resonant	resonant	NOUN
ejpam-4929	40	27	(	(	PUNCT
ejpam-4929	40	28	irc	irc	NOUN
ejpam-4929	40	29	)	)	PUNCT
ejpam-4929	40	30	controllers	controller	NOUN
ejpam-4929	40	31	are	be	AUX
ejpam-4929	40	32	applied	apply	VERB
ejpam-4929	40	33	.	.	PUNCT
ejpam-4929	41	1	the	the	DET
ejpam-4929	41	2	multiple	multiple	ADJ
ejpam-4929	41	3	time	time	NOUN
ejpam-4929	41	4	scales	scale	VERB
ejpam-4929	41	5	approach	approach	NOUN
ejpam-4929	41	6	and	and	CCONJ
ejpam-4929	41	7	frequency	frequency	NOUN
ejpam-4929	41	8	response	response	NOUN
ejpam-4929	41	9	equations	equation	NOUN
ejpam-4929	41	10	are	be	AUX
ejpam-4929	41	11	used	use	VERB
ejpam-4929	41	12	to	to	PART
ejpam-4929	41	13	perform	perform	VERB
ejpam-4929	41	14	the	the	DET
ejpam-4929	41	15	approximate	approximate	ADJ
ejpam-4929	41	16	solutions	solution	NOUN
ejpam-4929	41	17	and	and	CCONJ
ejpam-4929	41	18	stability	stability	NOUN
ejpam-4929	41	19	analysis	analysis	NOUN
ejpam-4929	41	20	at	at	ADP
ejpam-4929	41	21	the	the	DET
ejpam-4929	41	22	worst	bad	ADJ
ejpam-4929	41	23	resonance	resonance	NOUN
ejpam-4929	41	24	cases	case	NOUN
ejpam-4929	41	25	[	[	X
ejpam-4929	41	26	13	13	NUM
ejpam-4929	41	27	]	]	PUNCT
ejpam-4929	41	28	.	.	PUNCT
ejpam-4929	42	1	the	the	DET
ejpam-4929	42	2	detailed	detailed	NOUN
ejpam-4929	42	3	of	of	ADP
ejpam-4929	42	4	analysis	analysis	NOUN
ejpam-4929	42	5	is	be	AUX
ejpam-4929	42	6	founded	found	VERB
ejpam-4929	42	7	for	for	ADP
ejpam-4929	42	8	some	some	DET
ejpam-4929	42	9	dynamical	dynamical	ADJ
ejpam-4929	42	10	systems	system	NOUN
ejpam-4929	42	11	with	with	ADP
ejpam-4929	42	12	different	different	ADJ
ejpam-4929	42	13	forces	force	NOUN
ejpam-4929	42	14	in	in	ADP
ejpam-4929	42	15	the	the	DET
ejpam-4929	42	16	books	book	NOUN
ejpam-4929	42	17	[	[	X
ejpam-4929	42	18	14	14	NUM
ejpam-4929	42	19	-	-	SYM
ejpam-4929	42	20	17	17	NUM
ejpam-4929	42	21	]	]	PUNCT
ejpam-4929	42	22	.	.	PUNCT
ejpam-4929	43	1	the	the	DET
ejpam-4929	43	2	model	model	NOUN
ejpam-4929	43	3	of	of	ADP
ejpam-4929	43	4	atomic	atomic	ADJ
ejpam-4929	43	5	force	force	NOUN
ejpam-4929	43	6	microscopy	microscopy	NOUN
ejpam-4929	43	7	(	(	PUNCT
ejpam-4929	43	8	afm	afm	PROPN
ejpam-4929	43	9	)	)	PUNCT
ejpam-4929	43	10	was	be	AUX
ejpam-4929	43	11	controlled	control	VERB
ejpam-4929	43	12	utilizing	utilize	VERB
ejpam-4929	43	13	the	the	DET
ejpam-4929	43	14	pd	pd	PROPN
ejpam-4929	43	15	controller	controller	NOUN
ejpam-4929	43	16	with	with	ADP
ejpam-4929	43	17	time	time	NOUN
ejpam-4929	43	18	delayed	delay	VERB
ejpam-4929	43	19	and	and	CCONJ
ejpam-4929	43	20	the	the	DET
ejpam-4929	43	21	pd	pd	PROPN
ejpam-4929	43	22	control	control	NOUN
ejpam-4929	43	23	efficiency	efficiency	NOUN
ejpam-4929	43	24	for	for	ADP
ejpam-4929	43	25	putting	put	VERB
ejpam-4929	43	26	down	down	ADP
ejpam-4929	43	27	the	the	DET
ejpam-4929	43	28	nonlinear	nonlinear	ADJ
ejpam-4929	43	29	oscillations	oscillation	NOUN
ejpam-4929	43	30	are	be	AUX
ejpam-4929	43	31	performed	perform	VERB
ejpam-4929	43	32	to	to	ADP
ejpam-4929	43	33	the	the	DET
ejpam-4929	43	34	obtained	obtain	VERB
ejpam-4929	43	35	results	result	NOUN
ejpam-4929	43	36	[	[	X
ejpam-4929	43	37	18	18	NUM
ejpam-4929	43	38	]	]	PUNCT
ejpam-4929	43	39	.	.	PUNCT
ejpam-4929	44	1	the	the	DET
ejpam-4929	44	2	controlling	controlling	NOUN
ejpam-4929	44	3	of	of	ADP
ejpam-4929	44	4	a	a	DET
ejpam-4929	44	5	rotating	rotate	VERB
ejpam-4929	44	6	blade	blade	NOUN
ejpam-4929	44	7	’s	’s	PART
ejpam-4929	44	8	oscillation	oscillation	NOUN
ejpam-4929	44	9	via	via	ADP
ejpam-4929	44	10	nonlinear	nonlinear	ADJ
ejpam-4929	44	11	saturation	saturation	NOUN
ejpam-4929	44	12	control	control	NOUN
ejpam-4929	44	13	,	,	PUNCT
ejpam-4929	44	14	the	the	DET
ejpam-4929	44	15	energy	energy	NOUN
ejpam-4929	44	16	transfer	transfer	NOUN
ejpam-4929	44	17	and	and	CCONJ
ejpam-4929	44	18	stability	stability	NOUN
ejpam-4929	44	19	using	use	VERB
ejpam-4929	44	20	technique	technique	NOUN
ejpam-4929	44	21	of	of	ADP
ejpam-4929	44	22	lyapunov	lyapunov	PROPN
ejpam-4929	44	23	’s	’s	PART
ejpam-4929	44	24	linearization	linearization	NOUN
ejpam-4929	44	25	are	be	AUX
ejpam-4929	44	26	investigated	investigate	VERB
ejpam-4929	44	27	[	[	X
ejpam-4929	44	28	19	19	NUM
ejpam-4929	44	29	]	]	PUNCT
ejpam-4929	44	30	.	.	PUNCT
ejpam-4929	45	1	the	the	DET
ejpam-4929	45	2	ppf	ppf	PROPN
ejpam-4929	45	3	and	and	CCONJ
ejpam-4929	45	4	pd	pd	PROPN
ejpam-4929	45	5	signals	signal	NOUN
ejpam-4929	45	6	control	control	NOUN
ejpam-4929	45	7	are	be	AUX
ejpam-4929	45	8	merged	merge	VERB
ejpam-4929	45	9	to	to	PART
ejpam-4929	45	10	minimize	minimize	VERB
ejpam-4929	45	11	the	the	DET
ejpam-4929	45	12	levels	level	NOUN
ejpam-4929	45	13	of	of	ADP
ejpam-4929	45	14	ambs	ambs	ADJ
ejpam-4929	45	15	system	system	NOUN
ejpam-4929	45	16	vibration	vibration	NOUN
ejpam-4929	45	17	involving	involve	VERB
ejpam-4929	45	18	constant	constant	ADJ
ejpam-4929	45	19	stiffness	stiffness	NOUN
ejpam-4929	45	20	and	and	CCONJ
ejpam-4929	45	21	16	16	NUM
ejpam-4929	45	22	poles	pole	NOUN
ejpam-4929	45	23	.	.	PUNCT
ejpam-4929	46	1	also	also	ADV
ejpam-4929	46	2	,	,	PUNCT
ejpam-4929	46	3	approximate	approximate	ADJ
ejpam-4929	46	4	solutions	solution	NOUN
ejpam-4929	46	5	are	be	AUX
ejpam-4929	46	6	extracted	extract	VERB
ejpam-4929	46	7	,	,	PUNCT
ejpam-4929	46	8	and	and	CCONJ
ejpam-4929	46	9	response	response	NOUN
ejpam-4929	46	10	curves	curve	NOUN
ejpam-4929	46	11	are	be	AUX
ejpam-4929	46	12	plotted	plot	VERB
ejpam-4929	46	13	before	before	ADV
ejpam-4929	46	14	and	and	CCONJ
ejpam-4929	46	15	after	after	ADP
ejpam-4929	46	16	using	use	VERB
ejpam-4929	46	17	ppf	ppf	PROPN
ejpam-4929	47	1	[	[	X
ejpam-4929	47	2	20	20	NUM
ejpam-4929	47	3	]	]	PUNCT
ejpam-4929	47	4	.	.	PUNCT
ejpam-4929	48	1	2d	2d	NOUN
ejpam-4929	48	2	and	and	CCONJ
ejpam-4929	48	3	3d	3d	NUM
ejpam-4929	48	4	visualizations	visualization	NOUN
ejpam-4929	48	5	of	of	ADP
ejpam-4929	48	6	the	the	DET
ejpam-4929	48	7	mass	mass	ADJ
ejpam-4929	48	8	-	-	PUNCT
ejpam-4929	48	9	damper	damper	NOUN
ejpam-4929	48	10	-	-	PUNCT
ejpam-4929	48	11	spring	spring	NOUN
ejpam-4929	48	12	model	model	NOUN
ejpam-4929	48	13	was	be	AUX
ejpam-4929	48	14	controlled	control	VERB
ejpam-4929	48	15	with	with	ADP
ejpam-4929	48	16	a	a	DET
ejpam-4929	48	17	servo	servo	NOUN
ejpam-4929	48	18	controlled	control	VERB
ejpam-4929	48	19	linear	linear	ADJ
ejpam-4929	48	20	actuator	actuator	NOUN
ejpam-4929	48	21	(	(	PUNCT
ejpam-4929	48	22	scla	scla	NOUN
ejpam-4929	48	23	)	)	PUNCT
ejpam-4929	48	24	with	with	ADP
ejpam-4929	48	25	using	use	VERB
ejpam-4929	48	26	signal	signal	NOUN
ejpam-4929	48	27	generating	generating	NOUN
ejpam-4929	48	28	(	(	PUNCT
ejpam-4929	48	29	ppf	ppf	PROPN
ejpam-4929	48	30	)	)	PUNCT
ejpam-4929	48	31	controller	controller	NOUN
ejpam-4929	48	32	.	.	PUNCT
ejpam-4929	49	1	in	in	ADP
ejpam-4929	49	2	addition	addition	NOUN
ejpam-4929	49	3	,	,	PUNCT
ejpam-4929	49	4	they	they	PRON
ejpam-4929	49	5	derived	derive	VERB
ejpam-4929	49	6	the	the	DET
ejpam-4929	49	7	system	system	NOUN
ejpam-4929	49	8	equations	equation	NOUN
ejpam-4929	49	9	,	,	PUNCT
ejpam-4929	49	10	phases	phase	NOUN
ejpam-4929	49	11	and	and	CCONJ
ejpam-4929	49	12	amplitudes	amplitude	NOUN
ejpam-4929	49	13	using	use	VERB
ejpam-4929	49	14	krylov	krylov	NOUN
ejpam-4929	49	15	-	-	PUNCT
ejpam-4929	49	16	bogoliubov	bogoliubov	NOUN
ejpam-4929	49	17	averaging	average	VERB
ejpam-4929	49	18	perturbation	perturbation	NOUN
ejpam-4929	49	19	method	method	NOUN
ejpam-4929	49	20	[	[	X
ejpam-4929	49	21	21	21	NUM
ejpam-4929	49	22	]	]	PUNCT
ejpam-4929	49	23	.	.	PUNCT
ejpam-4929	50	1	the	the	DET
ejpam-4929	50	2	approximate	approximate	ADJ
ejpam-4929	50	3	solutions	solution	NOUN
ejpam-4929	50	4	,	,	PUNCT
ejpam-4929	50	5	stability	stability	NOUN
ejpam-4929	50	6	,	,	PUNCT
ejpam-4929	50	7	and	and	CCONJ
ejpam-4929	50	8	control	control	NOUN
ejpam-4929	50	9	for	for	ADP
ejpam-4929	50	10	the	the	DET
ejpam-4929	50	11	car	car	NOUN
ejpam-4929	50	12	model	model	NOUN
ejpam-4929	50	13	with	with	ADP
ejpam-4929	50	14	the	the	DET
ejpam-4929	50	15	harmonic	harmonic	ADJ
ejpam-4929	50	16	balance	balance	NOUN
ejpam-4929	50	17	and	and	CCONJ
ejpam-4929	50	18	averaging	average	VERB
ejpam-4929	50	19	methods	method	NOUN
ejpam-4929	50	20	with	with	ADP
ejpam-4929	50	21	nonlinear	nonlinear	ADJ
ejpam-4929	50	22	saturation	saturation	NOUN
ejpam-4929	50	23	controller	controller	NOUN
ejpam-4929	50	24	(	(	PUNCT
ejpam-4929	50	25	nsc	nsc	PROPN
ejpam-4929	50	26	)	)	PUNCT
ejpam-4929	50	27	controller	controller	NOUN
ejpam-4929	50	28	a	a	DET
ejpam-4929	50	29	cubic	cubic	ADJ
ejpam-4929	50	30	-	-	PUNCT
ejpam-4929	50	31	position	position	NOUN
ejpam-4929	50	32	negative	negative	ADJ
ejpam-4929	50	33	-	-	PUNCT
ejpam-4929	50	34	velocity	velocity	NOUN
ejpam-4929	50	35	and	and	CCONJ
ejpam-4929	50	36	a	a	DET
ejpam-4929	50	37	cubic	cubic	ADJ
ejpam-4929	50	38	-	-	PUNCT
ejpam-4929	50	39	position	position	NOUN
ejpam-4929	50	40	negative	negative	ADJ
ejpam-4929	50	41	-	-	PUNCT
ejpam-4929	50	42	velocity	velocity	NOUN
ejpam-4929	50	43	feedback	feedback	NOUN
ejpam-4929	50	44	(	(	PUNCT
ejpam-4929	50	45	cpnv	cpnv	NOUN
ejpam-4929	50	46	)	)	PUNCT
ejpam-4929	50	47	controllers	controller	NOUN
ejpam-4929	50	48	[	[	X
ejpam-4929	50	49	2223	2223	NUM
ejpam-4929	50	50	]	]	PUNCT
ejpam-4929	50	51	.	.	PUNCT
ejpam-4929	51	1	the	the	DET
ejpam-4929	51	2	mathematical	mathematical	ADJ
ejpam-4929	51	3	methods	method	NOUN
ejpam-4929	51	4	are	be	AUX
ejpam-4929	51	5	presented	present	VERB
ejpam-4929	51	6	and	and	CCONJ
ejpam-4929	51	7	explained	explain	VERB
ejpam-4929	51	8	for	for	ADP
ejpam-4929	51	9	obtaining	obtain	VERB
ejpam-4929	51	10	approximate	approximate	ADJ
ejpam-4929	51	11	a.	a.	NOUN
ejpam-4929	51	12	alsaadi	alsaadi	NOUN
ejpam-4929	51	13	,	,	PUNCT
ejpam-4929	51	14	y.	y.	PROPN
ejpam-4929	51	15	s.	s.	PROPN
ejpam-4929	51	16	hamed	hamed	PROPN
ejpam-4929	51	17	/	/	SYM
ejpam-4929	51	18	eur	eur	PROPN
ejpam-4929	51	19	.	.	PUNCT
ejpam-4929	52	1	j.	j.	PROPN
ejpam-4929	52	2	pure	pure	PROPN
ejpam-4929	52	3	appl	appl	PROPN
ejpam-4929	52	4	.	.	PROPN
ejpam-4929	52	5	math	math	PROPN
ejpam-4929	52	6	,	,	PUNCT
ejpam-4929	52	7	16	16	NUM
ejpam-4929	52	8	(	(	PUNCT
ejpam-4929	52	9	4	4	NUM
ejpam-4929	52	10	)	)	PUNCT
ejpam-4929	52	11	(	(	PUNCT
ejpam-4929	52	12	2023	2023	NUM
ejpam-4929	52	13	)	)	PUNCT
ejpam-4929	52	14	,	,	PUNCT
ejpam-4929	52	15	2703	2703	NUM
ejpam-4929	52	16	-	-	SYM
ejpam-4929	52	17	2728	2728	NUM
ejpam-4929	52	18	2705	2705	NUM
ejpam-4929	52	19	analytical	analytical	ADJ
ejpam-4929	52	20	solutions	solution	NOUN
ejpam-4929	52	21	to	to	PART
ejpam-4929	52	22	differential	differential	VERB
ejpam-4929	52	23	and	and	CCONJ
ejpam-4929	52	24	difference	difference	NOUN
ejpam-4929	52	25	equations	equation	NOUN
ejpam-4929	52	26	that	that	PRON
ejpam-4929	52	27	can	can	AUX
ejpam-4929	52	28	not	not	PART
ejpam-4929	52	29	be	be	AUX
ejpam-4929	52	30	solved	solve	VERB
ejpam-4929	52	31	exactly	exactly	ADV
ejpam-4929	52	32	.	.	PUNCT
ejpam-4929	53	1	the	the	DET
ejpam-4929	53	2	mathematical	mathematical	ADJ
ejpam-4929	53	3	methods	method	NOUN
ejpam-4929	53	4	discussed	discuss	VERB
ejpam-4929	53	5	in	in	ADP
ejpam-4929	53	6	this	this	DET
ejpam-4929	53	7	book	book	NOUN
ejpam-4929	53	8	are	be	AUX
ejpam-4929	53	9	known	know	VERB
ejpam-4929	53	10	collectively	collectively	ADV
ejpam-4929	53	11	as¬	as¬	NOUN
ejpam-4929	53	12	asymptotic	asymptotic	ADJ
ejpam-4929	53	13	and	and	CCONJ
ejpam-4929	53	14	perturbative	perturbative	ADJ
ejpam-4929	53	15	analysis	analysis	NOUN
ejpam-4929	53	16	[	[	X
ejpam-4929	53	17	24	24	NUM
ejpam-4929	53	18	]	]	PUNCT
ejpam-4929	53	19	.	.	PUNCT
ejpam-4929	54	1	the	the	DET
ejpam-4929	54	2	stability	stability	NOUN
ejpam-4929	54	3	analysis	analysis	NOUN
ejpam-4929	54	4	of	of	ADP
ejpam-4929	54	5	even	even	ADV
ejpam-4929	54	6	multidimensional	multidimensional	ADJ
ejpam-4929	54	7	strongly	strongly	ADV
ejpam-4929	54	8	nonlinear	nonlinear	ADJ
ejpam-4929	54	9	systems	system	NOUN
ejpam-4929	54	10	described	describe	VERB
ejpam-4929	54	11	by	by	ADP
ejpam-4929	54	12	pdes	pde	NOUN
ejpam-4929	54	13	are	be	AUX
ejpam-4929	54	14	studied	study	VERB
ejpam-4929	54	15	[	[	PUNCT
ejpam-4929	54	16	25	25	NUM
ejpam-4929	54	17	]	]	PUNCT
ejpam-4929	54	18	.	.	PUNCT
ejpam-4929	55	1	tuned	tune	VERB
ejpam-4929	55	2	mass	mass	NOUN
ejpam-4929	55	3	and	and	CCONJ
ejpam-4929	55	4	liquid	liquid	ADJ
ejpam-4929	55	5	column	column	NOUN
ejpam-4929	55	6	dampers	damper	NOUN
ejpam-4929	55	7	are	be	AUX
ejpam-4929	55	8	used	use	VERB
ejpam-4929	55	9	to	to	PART
ejpam-4929	55	10	reduce	reduce	VERB
ejpam-4929	55	11	the	the	DET
ejpam-4929	55	12	excessive	excessive	ADJ
ejpam-4929	55	13	vibration	vibration	NOUN
ejpam-4929	55	14	responses	response	NOUN
ejpam-4929	55	15	of	of	ADP
ejpam-4929	55	16	offshore	offshore	ADJ
ejpam-4929	55	17	wind	wind	NOUN
ejpam-4929	55	18	turbines	turbine	NOUN
ejpam-4929	56	1	[	[	X
ejpam-4929	56	2	26	26	NUM
ejpam-4929	56	3	]	]	PUNCT
ejpam-4929	56	4	.	.	PUNCT
ejpam-4929	57	1	a	a	DET
ejpam-4929	57	2	tuned	tune	VERB
ejpam-4929	57	3	mass	mass	ADJ
ejpam-4929	57	4	damper	damper	NOUN
ejpam-4929	57	5	with	with	ADP
ejpam-4929	57	6	passive	passive	ADJ
ejpam-4929	57	7	control	control	NOUN
ejpam-4929	57	8	in	in	ADP
ejpam-4929	57	9	a	a	DET
ejpam-4929	57	10	floating	float	VERB
ejpam-4929	57	11	platform	platform	NOUN
ejpam-4929	57	12	can	can	AUX
ejpam-4929	57	13	reduce	reduce	VERB
ejpam-4929	57	14	and	and	CCONJ
ejpam-4929	57	15	improve	improve	VERB
ejpam-4929	57	16	the	the	DET
ejpam-4929	57	17	dynamic	dynamic	ADJ
ejpam-4929	57	18	responses	response	NOUN
ejpam-4929	57	19	of	of	ADP
ejpam-4929	57	20	the	the	DET
ejpam-4929	57	21	offshore	offshore	ADJ
ejpam-4929	57	22	wind	wind	NOUN
ejpam-4929	57	23	turbine	turbine	NOUN
ejpam-4929	58	1	[	[	X
ejpam-4929	58	2	27	27	NUM
ejpam-4929	58	3	]	]	PUNCT
ejpam-4929	58	4	.	.	PUNCT
ejpam-4929	59	1	the	the	DET
ejpam-4929	59	2	high	high	ADJ
ejpam-4929	59	3	frequency	frequency	NOUN
ejpam-4929	59	4	tuned	tune	VERB
ejpam-4929	59	5	mass	mass	ADJ
ejpam-4929	59	6	damper	damper	NOUN
ejpam-4929	59	7	installed	instal	VERB
ejpam-4929	59	8	in	in	ADP
ejpam-4929	59	9	the	the	DET
ejpam-4929	59	10	nacelle	nacelle	NOUN
ejpam-4929	59	11	is	be	AUX
ejpam-4929	59	12	examined	examine	VERB
ejpam-4929	59	13	using	use	VERB
ejpam-4929	59	14	numerical	numerical	ADJ
ejpam-4929	59	15	methods	method	NOUN
ejpam-4929	59	16	to	to	PART
ejpam-4929	59	17	see	see	VERB
ejpam-4929	59	18	whether	whether	SCONJ
ejpam-4929	59	19	it	it	PRON
ejpam-4929	59	20	effectively	effectively	ADV
ejpam-4929	59	21	reduces	reduce	VERB
ejpam-4929	59	22	tower	tower	NOUN
ejpam-4929	59	23	response	response	NOUN
ejpam-4929	59	24	while	while	SCONJ
ejpam-4929	59	25	having	have	VERB
ejpam-4929	59	26	little	little	ADJ
ejpam-4929	59	27	effect	effect	NOUN
ejpam-4929	59	28	on	on	ADP
ejpam-4929	59	29	platform	platform	NOUN
ejpam-4929	59	30	response	response	NOUN
ejpam-4929	59	31	[	[	X
ejpam-4929	59	32	28	28	NUM
ejpam-4929	59	33	]	]	PUNCT
ejpam-4929	59	34	.	.	PUNCT
ejpam-4929	60	1	a	a	DET
ejpam-4929	60	2	new	new	ADJ
ejpam-4929	60	3	technique	technique	NOUN
ejpam-4929	60	4	for	for	ADP
ejpam-4929	60	5	minimizing	minimize	VERB
ejpam-4929	60	6	the	the	DET
ejpam-4929	60	7	motion	motion	NOUN
ejpam-4929	60	8	of	of	ADP
ejpam-4929	60	9	a	a	DET
ejpam-4929	60	10	two	two	NUM
ejpam-4929	60	11	-	-	PUNCT
ejpam-4929	60	12	degree	degree	NOUN
ejpam-4929	60	13	-	-	PUNCT
ejpam-4929	60	14	of	of	ADP
ejpam-4929	60	15	-	-	PUNCT
ejpam-4929	60	16	freedom	freedom	NOUN
ejpam-4929	60	17	tuned	tune	VERB
ejpam-4929	60	18	mass	mass	ADJ
ejpam-4929	60	19	damper	damper	NOUN
ejpam-4929	60	20	is	be	AUX
ejpam-4929	60	21	applied	apply	VERB
ejpam-4929	60	22	for	for	ADP
ejpam-4929	60	23	offshore	offshore	ADJ
ejpam-4929	60	24	wind	wind	NOUN
ejpam-4929	60	25	turbines	turbine	NOUN
ejpam-4929	60	26	on	on	ADP
ejpam-4929	60	27	floating	float	VERB
ejpam-4929	60	28	spar	spar	NOUN
ejpam-4929	60	29	supports	support	NOUN
ejpam-4929	60	30	[	[	X
ejpam-4929	60	31	29	29	NUM
ejpam-4929	60	32	]	]	PUNCT
ejpam-4929	60	33	.	.	PUNCT
ejpam-4929	61	1	using	use	VERB
ejpam-4929	61	2	an	an	DET
ejpam-4929	61	3	electromagnetic	electromagnetic	ADJ
ejpam-4929	61	4	shunt	shunt	NOUN
ejpam-4929	61	5	tuned	tune	VERB
ejpam-4929	61	6	mass	mass	ADJ
ejpam-4929	61	7	damper	damper	NOUN
ejpam-4929	61	8	,	,	PUNCT
ejpam-4929	61	9	floating	float	VERB
ejpam-4929	61	10	offshore	offshore	ADJ
ejpam-4929	61	11	wind	wind	NOUN
ejpam-4929	61	12	turbine	turbine	NOUN
ejpam-4929	61	13	vibration	vibration	NOUN
ejpam-4929	61	14	can	can	AUX
ejpam-4929	61	15	be	be	AUX
ejpam-4929	61	16	reduced	reduce	VERB
ejpam-4929	61	17	[	[	X
ejpam-4929	61	18	30	30	NUM
ejpam-4929	61	19	]	]	PUNCT
ejpam-4929	61	20	.	.	PUNCT
ejpam-4929	62	1	according	accord	VERB
ejpam-4929	62	2	to	to	ADP
ejpam-4929	62	3	the	the	DET
ejpam-4929	62	4	articles	article	NOUN
ejpam-4929	62	5	described	describe	VERB
ejpam-4929	62	6	above	above	ADV
ejpam-4929	62	7	,	,	PUNCT
ejpam-4929	62	8	none	none	NOUN
ejpam-4929	62	9	of	of	ADP
ejpam-4929	62	10	them	they	PRON
ejpam-4929	62	11	discuss	discuss	VERB
ejpam-4929	62	12	controlling	control	VERB
ejpam-4929	62	13	the	the	DET
ejpam-4929	62	14	primary	primary	ADJ
ejpam-4929	62	15	and	and	CCONJ
ejpam-4929	62	16	internal	internal	ADJ
ejpam-4929	62	17	resonance	resonance	NOUN
ejpam-4929	62	18	response	response	NOUN
ejpam-4929	62	19	via	via	ADP
ejpam-4929	62	20	the	the	DET
ejpam-4929	62	21	positive	positive	ADJ
ejpam-4929	62	22	position	position	NOUN
ejpam-4929	62	23	feedback	feedback	NOUN
ejpam-4929	62	24	(	(	PUNCT
ejpam-4929	62	25	ppf	ppf	PROPN
ejpam-4929	62	26	)	)	PUNCT
ejpam-4929	62	27	controller	controller	NOUN
ejpam-4929	62	28	,	,	PUNCT
ejpam-4929	62	29	which	which	PRON
ejpam-4929	62	30	was	be	AUX
ejpam-4929	62	31	the	the	DET
ejpam-4929	62	32	main	main	ADJ
ejpam-4929	62	33	motive	motive	NOUN
ejpam-4929	62	34	of	of	ADP
ejpam-4929	62	35	such	such	DET
ejpam-4929	62	36	a	a	DET
ejpam-4929	62	37	response	response	NOUN
ejpam-4929	62	38	.	.	PUNCT
ejpam-4929	63	1	the	the	DET
ejpam-4929	63	2	current	current	ADJ
ejpam-4929	63	3	work	work	NOUN
ejpam-4929	63	4	suggests	suggest	VERB
ejpam-4929	63	5	using	use	VERB
ejpam-4929	63	6	this	this	DET
ejpam-4929	63	7	control	control	NOUN
ejpam-4929	63	8	approach	approach	NOUN
ejpam-4929	63	9	.	.	PUNCT
ejpam-4929	64	1	in	in	ADP
ejpam-4929	64	2	the	the	DET
ejpam-4929	64	3	present	present	ADJ
ejpam-4929	64	4	work	work	NOUN
ejpam-4929	64	5	,	,	PUNCT
ejpam-4929	64	6	we	we	PRON
ejpam-4929	64	7	focused	focus	VERB
ejpam-4929	64	8	on	on	ADP
ejpam-4929	64	9	the	the	DET
ejpam-4929	64	10	control	control	NOUN
ejpam-4929	64	11	,	,	PUNCT
ejpam-4929	64	12	energy	energy	NOUN
ejpam-4929	64	13	transfer	transfer	NOUN
ejpam-4929	64	14	,	,	PUNCT
ejpam-4929	64	15	and	and	CCONJ
ejpam-4929	64	16	vibration	vibration	NOUN
ejpam-4929	64	17	performance	performance	NOUN
ejpam-4929	64	18	under	under	ADP
ejpam-4929	64	19	multi	multi	ADJ
ejpam-4929	64	20	mixed	mixed	ADJ
ejpam-4929	64	21	excitations	excitation	NOUN
ejpam-4929	64	22	for	for	ADP
ejpam-4929	64	23	the	the	DET
ejpam-4929	64	24	system	system	NOUN
ejpam-4929	64	25	of	of	ADP
ejpam-4929	64	26	offshore	offshore	ADJ
ejpam-4929	64	27	wind	wind	NOUN
ejpam-4929	64	28	turbine	turbine	NOUN
ejpam-4929	64	29	tower	tower	NOUN
ejpam-4929	64	30	.	.	PUNCT
ejpam-4929	65	1	for	for	ADP
ejpam-4929	65	2	reducing	reduce	VERB
ejpam-4929	65	3	the	the	DET
ejpam-4929	65	4	controlled	control	VERB
ejpam-4929	65	5	system	system	NOUN
ejpam-4929	65	6	oscillations	oscillation	NOUN
ejpam-4929	65	7	and	and	CCONJ
ejpam-4929	65	8	energy	energy	NOUN
ejpam-4929	65	9	transfers	transfer	NOUN
ejpam-4929	65	10	,	,	PUNCT
ejpam-4929	65	11	the	the	DET
ejpam-4929	65	12	ppf	ppf	PROPN
ejpam-4929	65	13	controller	controller	NOUN
ejpam-4929	65	14	be	be	AUX
ejpam-4929	65	15	applied	apply	VERB
ejpam-4929	65	16	.	.	PUNCT
ejpam-4929	66	1	with	with	ADP
ejpam-4929	66	2	the	the	DET
ejpam-4929	66	3	help	help	NOUN
ejpam-4929	66	4	of	of	ADP
ejpam-4929	66	5	the	the	DET
ejpam-4929	66	6	phase	phase	NOUN
ejpam-4929	66	7	plane	plane	NOUN
ejpam-4929	66	8	approach	approach	NOUN
ejpam-4929	66	9	,	,	PUNCT
ejpam-4929	66	10	frequency	frequency	NOUN
ejpam-4929	66	11	response	response	NOUN
ejpam-4929	66	12	equations	equation	NOUN
ejpam-4929	66	13	,	,	PUNCT
ejpam-4929	66	14	and	and	CCONJ
ejpam-4929	66	15	poincare	poincare	PROPN
ejpam-4929	66	16	maps	map	NOUN
ejpam-4929	66	17	,	,	PUNCT
ejpam-4929	66	18	the	the	DET
ejpam-4929	66	19	bifurcation	bifurcation	NOUN
ejpam-4929	66	20	and	and	CCONJ
ejpam-4929	66	21	stability	stability	NOUN
ejpam-4929	66	22	at	at	ADP
ejpam-4929	66	23	worst	bad	ADJ
ejpam-4929	66	24	resonance	resonance	NOUN
ejpam-4929	66	25	cases	case	NOUN
ejpam-4929	66	26	are	be	AUX
ejpam-4929	66	27	sought	seek	VERB
ejpam-4929	66	28	and	and	CCONJ
ejpam-4929	66	29	investigated	investigate	VERB
ejpam-4929	66	30	.	.	PUNCT
ejpam-4929	67	1	the	the	DET
ejpam-4929	67	2	vibration	vibration	NOUN
ejpam-4929	67	3	behaviors	behavior	NOUN
ejpam-4929	67	4	are	be	AUX
ejpam-4929	67	5	studied	study	VERB
ejpam-4929	67	6	numerically	numerically	ADV
ejpam-4929	67	7	at	at	ADP
ejpam-4929	67	8	different	different	ADJ
ejpam-4929	67	9	parameters	parameter	NOUN
ejpam-4929	67	10	values	value	NOUN
ejpam-4929	67	11	for	for	ADP
ejpam-4929	67	12	the	the	DET
ejpam-4929	67	13	wind	wind	NOUN
ejpam-4929	67	14	turbine	turbine	NOUN
ejpam-4929	67	15	system	system	NOUN
ejpam-4929	67	16	.	.	PUNCT
ejpam-4929	68	1	2	2	X
ejpam-4929	68	2	.	.	X
ejpam-4929	68	3	system	system	NOUN
ejpam-4929	68	4	modelling	model	VERB
ejpam-4929	68	5	the	the	DET
ejpam-4929	68	6	parts	part	NOUN
ejpam-4929	68	7	of	of	ADP
ejpam-4929	68	8	the	the	DET
ejpam-4929	68	9	owtt	owtt	NOUN
ejpam-4929	68	10	system	system	NOUN
ejpam-4929	68	11	are	be	AUX
ejpam-4929	68	12	the	the	DET
ejpam-4929	68	13	hub	hub	NOUN
ejpam-4929	68	14	,	,	PUNCT
ejpam-4929	68	15	blade	blade	NOUN
ejpam-4929	68	16	,	,	PUNCT
ejpam-4929	68	17	tower	tower	NOUN
ejpam-4929	68	18	,	,	PUNCT
ejpam-4929	68	19	and	and	CCONJ
ejpam-4929	68	20	concentrated	concentrated	ADJ
ejpam-4929	68	21	mass	mass	NOUN
ejpam-4929	68	22	.	.	PUNCT
ejpam-4929	69	1	this	this	DET
ejpam-4929	69	2	system	system	NOUN
ejpam-4929	69	3	is	be	AUX
ejpam-4929	69	4	investigated	investigate	VERB
ejpam-4929	69	5	in	in	ADP
ejpam-4929	69	6	terms	term	NOUN
ejpam-4929	69	7	of	of	ADP
ejpam-4929	69	8	some	some	DET
ejpam-4929	69	9	excitation	excitation	NOUN
ejpam-4929	69	10	forces	force	NOUN
ejpam-4929	69	11	as	as	ADP
ejpam-4929	69	12	in	in	ADP
ejpam-4929	69	13	fig	fig	NOUN
ejpam-4929	69	14	.	.	PUNCT
ejpam-4929	70	1	1(a	1(a	NUM
ejpam-4929	70	2	)	)	PUNCT
ejpam-4929	70	3	.	.	PUNCT
ejpam-4929	71	1	as	as	ADP
ejpam-4929	71	2	in	in	ADP
ejpam-4929	71	3	figure	figure	NOUN
ejpam-4929	71	4	1(b	1(b	NUM
ejpam-4929	71	5	)	)	PUNCT
ejpam-4929	71	6	,	,	PUNCT
ejpam-4929	71	7	the	the	DET
ejpam-4929	71	8	structural	structural	ADJ
ejpam-4929	71	9	model	model	NOUN
ejpam-4929	71	10	with	with	ADP
ejpam-4929	71	11	multiple	multiple	ADJ
ejpam-4929	71	12	external	external	ADJ
ejpam-4929	71	13	forces	force	NOUN
ejpam-4929	71	14	,	,	PUNCT
ejpam-4929	71	15	including	include	VERB
ejpam-4929	71	16	the	the	DET
ejpam-4929	71	17	effects	effect	NOUN
ejpam-4929	71	18	of	of	ADP
ejpam-4929	71	19	wave	wave	NOUN
ejpam-4929	71	20	fh	fh	PROPN
ejpam-4929	71	21	,	,	PUNCT
ejpam-4929	71	22	earthquake	earthquake	NOUN
ejpam-4929	71	23	feqk	feqk	NOUN
ejpam-4929	71	24	,	,	PUNCT
ejpam-4929	71	25	and	and	CCONJ
ejpam-4929	71	26	wind	wind	VERB
ejpam-4929	71	27	faero	faero	ADJ
ejpam-4929	71	28	forces	force	NOUN
ejpam-4929	71	29	.	.	PUNCT
ejpam-4929	72	1	a.	a.	NOUN
ejpam-4929	72	2	alsaadi	alsaadi	NOUN
ejpam-4929	72	3	,	,	PUNCT
ejpam-4929	72	4	y.	y.	PROPN
ejpam-4929	72	5	s.	s.	PROPN
ejpam-4929	72	6	hamed	hamed	PROPN
ejpam-4929	72	7	/	/	SYM
ejpam-4929	72	8	eur	eur	PROPN
ejpam-4929	72	9	.	.	PUNCT
ejpam-4929	73	1	j.	j.	PROPN
ejpam-4929	73	2	pure	pure	PROPN
ejpam-4929	73	3	appl	appl	PROPN
ejpam-4929	73	4	.	.	PROPN
ejpam-4929	73	5	math	math	PROPN
ejpam-4929	73	6	,	,	PUNCT
ejpam-4929	73	7	16	16	NUM
ejpam-4929	73	8	(	(	PUNCT
ejpam-4929	73	9	4	4	NUM
ejpam-4929	73	10	)	)	PUNCT
ejpam-4929	73	11	(	(	PUNCT
ejpam-4929	73	12	2023	2023	NUM
ejpam-4929	73	13	)	)	PUNCT
ejpam-4929	73	14	,	,	PUNCT
ejpam-4929	73	15	2703	2703	NUM
ejpam-4929	73	16	-	-	SYM
ejpam-4929	73	17	2728	2728	NUM
ejpam-4929	73	18	2706	2706	NUM
ejpam-4929	73	19	(	(	PUNCT
ejpam-4929	73	20	a	a	NOUN
ejpam-4929	73	21	)	)	PUNCT
ejpam-4929	73	22	(	(	PUNCT
ejpam-4929	73	23	b	b	X
ejpam-4929	73	24	)	)	PUNCT
ejpam-4929	73	25	figure	figure	NOUN
ejpam-4929	73	26	1	1	NUM
ejpam-4929	73	27	:	:	PUNCT
ejpam-4929	73	28	(	(	PUNCT
ejpam-4929	73	29	a	a	X
ejpam-4929	73	30	)	)	PUNCT
ejpam-4929	73	31	the	the	DET
ejpam-4929	73	32	wind	wind	NOUN
ejpam-4929	73	33	turbine	turbine	NOUN
ejpam-4929	73	34	tower	tower	NOUN
ejpam-4929	73	35	model	model	NOUN
ejpam-4929	73	36	,	,	PUNCT
ejpam-4929	73	37	(	(	PUNCT
ejpam-4929	73	38	b)the	b)the	DET
ejpam-4929	73	39	wind	wind	NOUN
ejpam-4929	73	40	tower	tower	NOUN
ejpam-4929	73	41	’s	’s	PART
ejpam-4929	73	42	forces	force	NOUN
ejpam-4929	73	43	.	.	PUNCT
ejpam-4929	74	1	the	the	DET
ejpam-4929	74	2	wind	wind	NOUN
ejpam-4929	74	3	forces	force	NOUN
ejpam-4929	74	4	faero	faero	ADJ
ejpam-4929	74	5	acting	act	VERB
ejpam-4929	74	6	on	on	ADP
ejpam-4929	74	7	the	the	DET
ejpam-4929	74	8	rotor	rotor	NOUN
ejpam-4929	74	9	nacelle	nacelle	PROPN
ejpam-4929	74	10	assembly	assembly	NOUN
ejpam-4929	74	11	(	(	PUNCT
ejpam-4929	74	12	rna	rna	NOUN
ejpam-4929	74	13	)	)	PUNCT
ejpam-4929	74	14	and	and	CCONJ
ejpam-4929	74	15	associate	associate	ADJ
ejpam-4929	74	16	instrumentation	instrumentation	NOUN
ejpam-4929	74	17	can	can	AUX
ejpam-4929	74	18	be	be	AUX
ejpam-4929	74	19	considered	consider	VERB
ejpam-4929	74	20	as	as	ADP
ejpam-4929	74	21	concentrated	concentrated	ADJ
ejpam-4929	74	22	forces	force	NOUN
ejpam-4929	74	23	(	(	PUNCT
ejpam-4929	74	24	hydrodynamic	hydrodynamic	ADJ
ejpam-4929	74	25	forces	force	NOUN
ejpam-4929	74	26	)	)	PUNCT
ejpam-4929	74	27	which	which	PRON
ejpam-4929	74	28	depend	depend	VERB
ejpam-4929	74	29	on	on	ADP
ejpam-4929	74	30	the	the	DET
ejpam-4929	74	31	wind	wind	NOUN
ejpam-4929	74	32	velocity	velocity	NOUN
ejpam-4929	74	33	.	.	PUNCT
ejpam-4929	75	1	the	the	DET
ejpam-4929	75	2	wave	wave	NOUN
ejpam-4929	75	3	force	force	PROPN
ejpam-4929	75	4	fh	fh	PROPN
ejpam-4929	75	5	were	be	AUX
ejpam-4929	75	6	utilized	utilize	VERB
ejpam-4929	75	7	to	to	PART
ejpam-4929	75	8	compute	compute	VERB
ejpam-4929	75	9	the	the	DET
ejpam-4929	75	10	hydrodynamic	hydrodynamic	ADJ
ejpam-4929	75	11	wave	wave	NOUN
ejpam-4929	75	12	forces	force	NOUN
ejpam-4929	75	13	acting	act	VERB
ejpam-4929	75	14	on	on	ADP
ejpam-4929	75	15	the	the	DET
ejpam-4929	75	16	wind	wind	NOUN
ejpam-4929	75	17	tower	tower	NOUN
ejpam-4929	75	18	,	,	PUNCT
ejpam-4929	75	19	where	where	SCONJ
ejpam-4929	75	20	the	the	DET
ejpam-4929	75	21	wave	wave	NOUN
ejpam-4929	75	22	height	height	NOUN
ejpam-4929	75	23	h	h	NOUN
ejpam-4929	75	24	,	,	PUNCT
ejpam-4929	75	25	wavelength	wavelength	NOUN
ejpam-4929	75	26	l	l	NOUN
ejpam-4929	75	27	,	,	PUNCT
ejpam-4929	75	28	and	and	CCONJ
ejpam-4929	75	29	wave	wave	NOUN
ejpam-4929	75	30	period	period	NOUN
ejpam-4929	75	31	t	t	PROPN
ejpam-4929	75	32	are	be	AUX
ejpam-4929	75	33	the	the	DET
ejpam-4929	75	34	major	major	ADJ
ejpam-4929	75	35	wave	wave	NOUN
ejpam-4929	75	36	parameters	parameter	NOUN
ejpam-4929	75	37	.	.	PUNCT
ejpam-4929	76	1	the	the	DET
ejpam-4929	76	2	strong	strong	ADJ
ejpam-4929	76	3	force	force	NOUN
ejpam-4929	76	4	acting	act	VERB
ejpam-4929	76	5	on	on	ADP
ejpam-4929	76	6	the	the	DET
ejpam-4929	76	7	turbine	turbine	NOUN
ejpam-4929	76	8	tower	tower	NOUN
ejpam-4929	76	9	structure	structure	NOUN
ejpam-4929	76	10	is	be	AUX
ejpam-4929	76	11	the	the	DET
ejpam-4929	76	12	earthquake	earthquake	NOUN
ejpam-4929	76	13	force	force	NOUN
ejpam-4929	76	14	due	due	ADP
ejpam-4929	76	15	to	to	ADP
ejpam-4929	76	16	the	the	DET
ejpam-4929	76	17	seismic	seismic	ADJ
ejpam-4929	76	18	excitation	excitation	NOUN
ejpam-4929	76	19	.	.	PUNCT
ejpam-4929	77	1	the	the	DET
ejpam-4929	77	2	below	below	ADP
ejpam-4929	77	3	equation	equation	NOUN
ejpam-4929	77	4	governing	govern	VERB
ejpam-4929	77	5	the	the	DET
ejpam-4929	77	6	sdof	sdof	ADJ
ejpam-4929	77	7	system	system	NOUN
ejpam-4929	77	8	’s	’s	PART
ejpam-4929	77	9	equation	equation	NOUN
ejpam-4929	77	10	of	of	ADP
ejpam-4929	77	11	motion	motion	NOUN
ejpam-4929	77	12	,	,	PUNCT
ejpam-4929	77	13	which	which	PRON
ejpam-4929	77	14	was	be	AUX
ejpam-4929	77	15	obtained	obtain	VERB
ejpam-4929	77	16	from	from	ADP
ejpam-4929	77	17	[	[	X
ejpam-4929	77	18	10	10	NUM
ejpam-4929	77	19	]	]	NOUN
ejpam-4929	77	20	:	:	PUNCT
ejpam-4929	77	21	mz̈(t	mz̈(t	NOUN
ejpam-4929	77	22	)	)	PUNCT
ejpam-4929	77	23	+	+	CCONJ
ejpam-4929	77	24	ϵcż(t	ϵcż(t	X
ejpam-4929	77	25	)	)	PUNCT
ejpam-4929	77	26	+	+	NUM
ejpam-4929	77	27	kz(t	kz(t	NOUN
ejpam-4929	77	28	)	)	PUNCT
ejpam-4929	78	1	+	+	NUM
ejpam-4929	78	2	ϵf	ϵf	PROPN
ejpam-4929	78	3	(	(	PUNCT
ejpam-4929	78	4	t	t	PROPN
ejpam-4929	78	5	)	)	PUNCT
ejpam-4929	78	6	=	=	SYM
ejpam-4929	78	7	ϵg(t	ϵg(t	NOUN
ejpam-4929	78	8	)	)	PUNCT
ejpam-4929	78	9	(	(	PUNCT
ejpam-4929	78	10	1a	1a	X
ejpam-4929	78	11	)	)	PUNCT
ejpam-4929	78	12	where	where	SCONJ
ejpam-4929	78	13	z̈(t	z̈(t	NOUN
ejpam-4929	78	14	)	)	PUNCT
ejpam-4929	78	15	is	be	AUX
ejpam-4929	78	16	the	the	DET
ejpam-4929	78	17	acceleration	acceleration	NOUN
ejpam-4929	78	18	,	,	PUNCT
ejpam-4929	78	19	ż(t	ż(t	PROPN
ejpam-4929	78	20	)	)	PUNCT
ejpam-4929	78	21	is	be	AUX
ejpam-4929	78	22	the	the	DET
ejpam-4929	78	23	velocity	velocity	NOUN
ejpam-4929	78	24	,	,	PUNCT
ejpam-4929	78	25	z(t	z(t	PROPN
ejpam-4929	78	26	)	)	PUNCT
ejpam-4929	78	27	is	be	AUX
ejpam-4929	78	28	the	the	DET
ejpam-4929	78	29	coordinate	coordinate	NOUN
ejpam-4929	78	30	vector	vector	NOUN
ejpam-4929	78	31	,	,	PUNCT
ejpam-4929	78	32	f	f	PROPN
ejpam-4929	78	33	(	(	PUNCT
ejpam-4929	78	34	t	t	PROPN
ejpam-4929	78	35	)	)	PUNCT
ejpam-4929	78	36	is	be	AUX
ejpam-4929	78	37	the	the	DET
ejpam-4929	78	38	total	total	ADJ
ejpam-4929	78	39	force	force	NOUN
ejpam-4929	78	40	,	,	PUNCT
ejpam-4929	78	41	g(t	g(t	PROPN
ejpam-4929	78	42	)	)	PUNCT
ejpam-4929	78	43	is	be	AUX
ejpam-4929	78	44	controller	controller	NOUN
ejpam-4929	78	45	signal	signal	NOUN
ejpam-4929	78	46	,	,	PUNCT
ejpam-4929	78	47	m	m	VERB
ejpam-4929	78	48	is	be	AUX
ejpam-4929	78	49	the	the	DET
ejpam-4929	78	50	mass	mass	PROPN
ejpam-4929	78	51	,	,	PUNCT
ejpam-4929	78	52	c	c	PROPN
ejpam-4929	78	53	and	and	CCONJ
ejpam-4929	78	54	k	k	PROPN
ejpam-4929	78	55	are	be	AUX
ejpam-4929	78	56	the	the	DET
ejpam-4929	78	57	damping	damp	VERB
ejpam-4929	78	58	and	and	CCONJ
ejpam-4929	78	59	stiffness	stiffness	ADJ
ejpam-4929	78	60	coefficients	coefficient	NOUN
ejpam-4929	78	61	,	,	PUNCT
ejpam-4929	78	62	respectively	respectively	ADV
ejpam-4929	78	63	.	.	PUNCT
ejpam-4929	79	1	as	as	SCONJ
ejpam-4929	79	2	proceeding	proceed	VERB
ejpam-4929	79	3	in	in	ADP
ejpam-4929	79	4	ref	ref	NOUN
ejpam-4929	79	5	[	[	X
ejpam-4929	79	6	10	10	NUM
ejpam-4929	79	7	]	]	PUNCT
ejpam-4929	79	8	,	,	PUNCT
ejpam-4929	79	9	then	then	ADV
ejpam-4929	79	10	the	the	DET
ejpam-4929	79	11	system	system	NOUN
ejpam-4929	79	12	’s	’s	PART
ejpam-4929	79	13	equation	equation	NOUN
ejpam-4929	79	14	of	of	ADP
ejpam-4929	79	15	motion	motion	NOUN
ejpam-4929	79	16	is	be	AUX
ejpam-4929	79	17	derived	derive	VERB
ejpam-4929	79	18	and	and	CCONJ
ejpam-4929	79	19	modified	modify	VERB
ejpam-4929	79	20	by	by	ADP
ejpam-4929	79	21	the	the	DET
ejpam-4929	79	22	next	next	ADJ
ejpam-4929	79	23	ordinary	ordinary	ADJ
ejpam-4929	79	24	differential	differential	ADJ
ejpam-4929	79	25	equation	equation	NOUN
ejpam-4929	79	26	:	:	PUNCT
ejpam-4929	79	27	z̈ϵµ1ż	z̈ϵµ1ż	NUM
ejpam-4929	79	28	+	+	CCONJ
ejpam-4929	79	29	ω1	ω1	PROPN
ejpam-4929	79	30	2z	2z	NUM
ejpam-4929	80	1	+	+	CCONJ
ejpam-4929	80	2	ϵfeqk	ϵfeqk	NOUN
ejpam-4929	80	3	+	+	CCONJ
ejpam-4929	80	4	ϵfa	ϵfa	NOUN
ejpam-4929	80	5	sinω1(t	sinω1(t	X
ejpam-4929	80	6	)	)	PUNCT
ejpam-4929	80	7	=	=	PRON
ejpam-4929	81	1	ϵfh	ϵfh	INTJ
ejpam-4929	82	1	cosω1(t)|	cosω1(t)|	NOUN
ejpam-4929	82	2	cosω1(t)|	cosω1(t)|	ADJ
ejpam-4929	82	3	.	.	PUNCT
ejpam-4929	83	1	(	(	PUNCT
ejpam-4929	83	2	1b	1b	NUM
ejpam-4929	83	3	)	)	PUNCT
ejpam-4929	83	4	where	where	SCONJ
ejpam-4929	83	5	µ1	µ1	NOUN
ejpam-4929	83	6	=	=	SYM
ejpam-4929	83	7	c	c	NOUN
ejpam-4929	83	8	m	m	NOUN
ejpam-4929	83	9	,	,	PUNCT
ejpam-4929	83	10	ω2	ω2	ADJ
ejpam-4929	83	11	1	1	NUM
ejpam-4929	84	1	=	=	SYM
ejpam-4929	84	2	k	k	NOUN
ejpam-4929	84	3	m	m	PROPN
ejpam-4929	84	4	,	,	PUNCT
ejpam-4929	84	5	f	f	PROPN
ejpam-4929	84	6	(	(	PUNCT
ejpam-4929	84	7	t	t	PROPN
ejpam-4929	84	8	)	)	PUNCT
ejpam-4929	84	9	=	=	SYM
ejpam-4929	84	10	1	1	NUM
ejpam-4929	84	11	m(feqk+faero	m(feqk+faero	NOUN
ejpam-4929	84	12	sinω1(t	sinω1(t	NUM
ejpam-4929	84	13	)	)	PUNCT
ejpam-4929	84	14	,	,	PUNCT
ejpam-4929	84	15	g(t	g(t	PROPN
ejpam-4929	84	16	)	)	PUNCT
ejpam-4929	84	17	=	=	SYM
ejpam-4929	84	18	1	1	NUM
ejpam-4929	84	19	m(fh	m(fh	NUM
ejpam-4929	84	20	cosω1(t)|	cosω1(t)|	NOUN
ejpam-4929	84	21	cosω1(t)|	cosω1(t)|	NOUN
ejpam-4929	84	22	)	)	PUNCT
ejpam-4929	84	23	.	.	PUNCT
ejpam-4929	85	1	applying	apply	VERB
ejpam-4929	85	2	the	the	DET
ejpam-4929	85	3	positive	positive	ADJ
ejpam-4929	85	4	position	position	NOUN
ejpam-4929	85	5	feedback	feedback	NOUN
ejpam-4929	85	6	(	(	PUNCT
ejpam-4929	85	7	ppf	ppf	PROPN
ejpam-4929	85	8	)	)	PUNCT
ejpam-4929	85	9	controller	controller	NOUN
ejpam-4929	85	10	donate	donate	VERB
ejpam-4929	85	11	by	by	ADP
ejpam-4929	85	12	equation	equation	NOUN
ejpam-4929	85	13	(	(	PUNCT
ejpam-4929	85	14	2b	2b	NOUN
ejpam-4929	85	15	)	)	PUNCT
ejpam-4929	85	16	to	to	ADP
ejpam-4929	85	17	the	the	DET
ejpam-4929	85	18	wind	wind	NOUN
ejpam-4929	85	19	turbine	turbine	NOUN
ejpam-4929	85	20	tower	tower	NOUN
ejpam-4929	85	21	system	system	NOUN
ejpam-4929	85	22	in	in	ADP
ejpam-4929	85	23	equation	equation	NOUN
ejpam-4929	85	24	(	(	PUNCT
ejpam-4929	85	25	1b	1b	NUM
ejpam-4929	85	26	)	)	PUNCT
ejpam-4929	85	27	.	.	PUNCT
ejpam-4929	86	1	in	in	ADP
ejpam-4929	86	2	order	order	NOUN
ejpam-4929	86	3	to	to	PART
ejpam-4929	86	4	control	control	VERB
ejpam-4929	86	5	the	the	DET
ejpam-4929	86	6	oscillation	oscillation	NOUN
ejpam-4929	86	7	of	of	ADP
ejpam-4929	86	8	the	the	DET
ejpam-4929	86	9	tower	tower	NOUN
ejpam-4929	86	10	system	system	NOUN
ejpam-4929	86	11	,	,	PUNCT
ejpam-4929	86	12	the	the	DET
ejpam-4929	86	13	control	control	NOUN
ejpam-4929	86	14	unit	unit	NOUN
ejpam-4929	86	15	must	must	AUX
ejpam-4929	86	16	acquire	acquire	VERB
ejpam-4929	86	17	the	the	DET
ejpam-4929	86	18	feedback	feedback	NOUN
ejpam-4929	86	19	signal	signal	NOUN
ejpam-4929	86	20	from	from	ADP
ejpam-4929	86	21	the	the	DET
ejpam-4929	86	22	tower	tower	NOUN
ejpam-4929	86	23	system	system	NOUN
ejpam-4929	86	24	,	,	PUNCT
ejpam-4929	86	25	a.	a.	NOUN
ejpam-4929	86	26	alsaadi	alsaadi	NOUN
ejpam-4929	86	27	,	,	PUNCT
ejpam-4929	86	28	y.	y.	PROPN
ejpam-4929	86	29	s.	s.	PROPN
ejpam-4929	86	30	hamed	hamed	PROPN
ejpam-4929	86	31	/	/	SYM
ejpam-4929	86	32	eur	eur	PROPN
ejpam-4929	86	33	.	.	PUNCT
ejpam-4929	87	1	j.	j.	PROPN
ejpam-4929	87	2	pure	pure	PROPN
ejpam-4929	87	3	appl	appl	PROPN
ejpam-4929	87	4	.	.	PROPN
ejpam-4929	87	5	math	math	PROPN
ejpam-4929	87	6	,	,	PUNCT
ejpam-4929	87	7	16	16	NUM
ejpam-4929	87	8	(	(	PUNCT
ejpam-4929	87	9	4	4	NUM
ejpam-4929	87	10	)	)	PUNCT
ejpam-4929	87	11	(	(	PUNCT
ejpam-4929	87	12	2023	2023	NUM
ejpam-4929	87	13	)	)	PUNCT
ejpam-4929	87	14	,	,	PUNCT
ejpam-4929	87	15	2703	2703	NUM
ejpam-4929	87	16	-	-	SYM
ejpam-4929	87	17	2728	2728	NUM
ejpam-4929	87	18	2707	2707	NUM
ejpam-4929	87	19	the	the	DET
ejpam-4929	87	20	updated	update	VERB
ejpam-4929	87	21	equation	equation	NOUN
ejpam-4929	87	22	(	(	PUNCT
ejpam-4929	87	23	1b	1b	NUM
ejpam-4929	87	24	)	)	PUNCT
ejpam-4929	87	25	would	would	AUX
ejpam-4929	87	26	be	be	AUX
ejpam-4929	87	27	as	as	SCONJ
ejpam-4929	87	28	follows	follow	VERB
ejpam-4929	87	29	:	:	PUNCT
ejpam-4929	87	30	z̈	z̈	NOUN
ejpam-4929	88	1	+	+	NUM
ejpam-4929	88	2	ϵµ1z	ϵµ1z	PROPN
ejpam-4929	88	3	+	+	CCONJ
ejpam-4929	88	4	ω2	ω2	ADJ
ejpam-4929	88	5	1z	1z	NUM
ejpam-4929	88	6	+	+	CCONJ
ejpam-4929	88	7	ϵfa	ϵfa	NOUN
ejpam-4929	88	8	sin(ω1(t	sin(ω1(t	NOUN
ejpam-4929	88	9	)	)	PUNCT
ejpam-4929	88	10	)	)	PUNCT
ejpam-4929	89	1	=	=	SYM
ejpam-4929	90	1	ϵfh	ϵfh	CCONJ
ejpam-4929	90	2	cos(ω1(t))|	cos(ω1(t))|	PROPN
ejpam-4929	90	3	cos(ω1(t))|+	cos(ω1(t))|+	PROPN
ejpam-4929	91	1	ϵβ1y	ϵβ1y	NOUN
ejpam-4929	91	2	.	.	PUNCT
ejpam-4929	92	1	(	(	PUNCT
ejpam-4929	92	2	2a	2a	NUM
ejpam-4929	92	3	)	)	PUNCT
ejpam-4929	92	4	ÿ	ÿ	PROPN
ejpam-4929	92	5	+	+	SYM
ejpam-4929	92	6	ϵµ2y	ϵµ2y	SYM
ejpam-4929	92	7	+	+	NUM
ejpam-4929	92	8	ω2	ω2	ADJ
ejpam-4929	92	9	2y	2y	PROPN
ejpam-4929	92	10	=	=	SYM
ejpam-4929	93	1	ϵβ2z	ϵβ2z	PROPN
ejpam-4929	93	2	.	.	PUNCT
ejpam-4929	94	1	(	(	PUNCT
ejpam-4929	94	2	2b	2b	NUM
ejpam-4929	94	3	)	)	PUNCT
ejpam-4929	94	4	where	where	SCONJ
ejpam-4929	94	5	µ1	µ1	PROPN
ejpam-4929	94	6	,	,	PUNCT
ejpam-4929	94	7	µ2	µ2	PROPN
ejpam-4929	94	8	are	be	AUX
ejpam-4929	94	9	linear	linear	ADJ
ejpam-4929	94	10	damping	damp	VERB
ejpam-4929	94	11	factors	factor	NOUN
ejpam-4929	94	12	of	of	ADP
ejpam-4929	94	13	the	the	DET
ejpam-4929	94	14	system	system	NOUN
ejpam-4929	94	15	and	and	CCONJ
ejpam-4929	94	16	control	control	NOUN
ejpam-4929	94	17	unit	unit	NOUN
ejpam-4929	94	18	,	,	PUNCT
ejpam-4929	94	19	ϵ	ϵ	PROPN
ejpam-4929	94	20	is	be	AUX
ejpam-4929	94	21	small	small	ADJ
ejpam-4929	94	22	perturbation	perturbation	NOUN
ejpam-4929	94	23	,	,	PUNCT
ejpam-4929	94	24	fa	fa	PROPN
ejpam-4929	94	25	,	,	PUNCT
ejpam-4929	94	26	fh	fh	PROPN
ejpam-4929	94	27	are	be	AUX
ejpam-4929	94	28	excitation	excitation	NOUN
ejpam-4929	94	29	wind	wind	NOUN
ejpam-4929	94	30	and	and	CCONJ
ejpam-4929	94	31	wave	wave	NOUN
ejpam-4929	94	32	forces	force	NOUN
ejpam-4929	94	33	,	,	PUNCT
ejpam-4929	94	34	feqk	feqk	NOUN
ejpam-4929	94	35	=	=	SYM
ejpam-4929	94	36	α	α	PROPN
ejpam-4929	94	37	cos(πt	cos(πt	NOUN
ejpam-4929	94	38	)	)	PUNCT
ejpam-4929	94	39	is	be	AUX
ejpam-4929	94	40	earthquake	earthquake	NOUN
ejpam-4929	94	41	force	force	NOUN
ejpam-4929	94	42	,	,	PUNCT
ejpam-4929	94	43	ω1,ω2	ω1,ω2	PROPN
ejpam-4929	94	44	are	be	AUX
ejpam-4929	94	45	natural	natural	ADJ
ejpam-4929	94	46	frequencies	frequency	NOUN
ejpam-4929	94	47	tower	tower	NOUN
ejpam-4929	94	48	system	system	NOUN
ejpam-4929	94	49	and	and	CCONJ
ejpam-4929	94	50	control	control	NOUN
ejpam-4929	94	51	unit	unit	NOUN
ejpam-4929	94	52	,	,	PUNCT
ejpam-4929	94	53	ω1	ω1	PROPN
ejpam-4929	94	54	is	be	AUX
ejpam-4929	94	55	the	the	DET
ejpam-4929	94	56	excitation	excitation	NOUN
ejpam-4929	94	57	frequency	frequency	NOUN
ejpam-4929	94	58	and	and	CCONJ
ejpam-4929	94	59	β1	β1	PROPN
ejpam-4929	94	60	,	,	PUNCT
ejpam-4929	94	61	β2	β2	PROPN
ejpam-4929	94	62	are	be	AUX
ejpam-4929	94	63	control	control	NOUN
ejpam-4929	94	64	units	unit	NOUN
ejpam-4929	94	65	.	.	PUNCT
ejpam-4929	95	1	3	3	X
ejpam-4929	95	2	.	.	NUM
ejpam-4929	95	3	approximate	approximate	ADJ
ejpam-4929	95	4	analytical	analytical	ADJ
ejpam-4929	95	5	solution	solution	NOUN
ejpam-4929	95	6	the	the	DET
ejpam-4929	95	7	goal	goal	NOUN
ejpam-4929	95	8	of	of	ADP
ejpam-4929	95	9	perturbation	perturbation	NOUN
ejpam-4929	95	10	methods	method	NOUN
ejpam-4929	95	11	is	be	AUX
ejpam-4929	95	12	to	to	PART
ejpam-4929	95	13	propose	propose	VERB
ejpam-4929	95	14	approximately	approximately	ADV
ejpam-4929	95	15	analytical	analytical	ADJ
ejpam-4929	95	16	solutions	solution	NOUN
ejpam-4929	95	17	to	to	ADP
ejpam-4929	95	18	problems	problem	NOUN
ejpam-4929	95	19	that	that	PRON
ejpam-4929	95	20	do	do	AUX
ejpam-4929	95	21	not	not	PART
ejpam-4929	95	22	have	have	VERB
ejpam-4929	95	23	exact	exact	ADJ
ejpam-4929	95	24	solutions	solution	NOUN
ejpam-4929	95	25	depending	depend	VERB
ejpam-4929	95	26	on	on	ADP
ejpam-4929	95	27	a	a	DET
ejpam-4929	95	28	small	small	ADJ
ejpam-4929	95	29	parameter	parameter	NOUN
ejpam-4929	95	30	ϵ	ϵ	X
ejpam-4929	95	31	where	where	SCONJ
ejpam-4929	95	32	0	0	NUM
ejpam-4929	95	33	≪	≪	PUNCT
ejpam-4929	95	34	ϵ	ϵ	X
ejpam-4929	95	35	≪	≪	ADJ
ejpam-4929	95	36	1	1	NUM
ejpam-4929	95	37	.	.	PUNCT
ejpam-4929	95	38	during	during	ADP
ejpam-4929	95	39	the	the	DET
ejpam-4929	95	40	solution	solution	NOUN
ejpam-4929	95	41	process	process	NOUN
ejpam-4929	95	42	,	,	PUNCT
ejpam-4929	95	43	(	(	PUNCT
ejpam-4929	95	44	unwanted	unwanted	ADJ
ejpam-4929	95	45	)	)	PUNCT
ejpam-4929	95	46	secular	secular	ADJ
ejpam-4929	95	47	terms	term	NOUN
ejpam-4929	95	48	are	be	AUX
ejpam-4929	95	49	eliminated	eliminate	VERB
ejpam-4929	95	50	using	use	VERB
ejpam-4929	95	51	the	the	DET
ejpam-4929	95	52	new	new	ADJ
ejpam-4929	95	53	independent	independent	ADJ
ejpam-4929	95	54	variables	variable	NOUN
ejpam-4929	95	55	.	.	PUNCT
ejpam-4929	96	1	the	the	DET
ejpam-4929	96	2	latter	latter	ADJ
ejpam-4929	96	3	applies	apply	VERB
ejpam-4929	96	4	solvability	solvability	NOUN
ejpam-4929	96	5	conditions	condition	NOUN
ejpam-4929	96	6	,	,	PUNCT
ejpam-4929	96	7	which	which	PRON
ejpam-4929	96	8	are	be	AUX
ejpam-4929	96	9	constraints	constraint	NOUN
ejpam-4929	96	10	on	on	ADP
ejpam-4929	96	11	the	the	DET
ejpam-4929	96	12	approximate	approximate	ADJ
ejpam-4929	96	13	solution	solution	NOUN
ejpam-4929	96	14	.	.	PUNCT
ejpam-4929	97	1	approximate	approximate	ADJ
ejpam-4929	97	2	solutions	solution	NOUN
ejpam-4929	97	3	of	of	ADP
ejpam-4929	97	4	problem	problem	NOUN
ejpam-4929	97	5	(	(	PUNCT
ejpam-4929	97	6	2	2	X
ejpam-4929	97	7	)	)	PUNCT
ejpam-4929	97	8	are	be	AUX
ejpam-4929	97	9	produced	produce	VERB
ejpam-4929	97	10	using	use	VERB
ejpam-4929	97	11	the	the	DET
ejpam-4929	97	12	multiple	multiple	ADJ
ejpam-4929	97	13	scale	scale	NOUN
ejpam-4929	97	14	perturbation	perturbation	NOUN
ejpam-4929	97	15	(	(	PUNCT
ejpam-4929	97	16	msp	msp	PROPN
ejpam-4929	97	17	)	)	PUNCT
ejpam-4929	97	18	approach	approach	NOUN
ejpam-4929	97	19	[	[	X
ejpam-4929	97	20	14	14	NUM
ejpam-4929	97	21	-	-	SYM
ejpam-4929	97	22	17	17	NUM
ejpam-4929	97	23	]	]	PUNCT
ejpam-4929	97	24	,	,	PUNCT
ejpam-4929	97	25	and	and	CCONJ
ejpam-4929	97	26	the	the	DET
ejpam-4929	97	27	solutions	solution	NOUN
ejpam-4929	97	28	have	have	VERB
ejpam-4929	97	29	the	the	DET
ejpam-4929	97	30	following	follow	VERB
ejpam-4929	97	31	form	form	NOUN
ejpam-4929	97	32	:	:	PUNCT
ejpam-4929	97	33	z(t	z(t	NOUN
ejpam-4929	97	34	,	,	PUNCT
ejpam-4929	97	35	ϵ	ϵ	X
ejpam-4929	97	36	)	)	PUNCT
ejpam-4929	97	37	=	=	SYM
ejpam-4929	97	38	z0(t0	z0(t0	NOUN
ejpam-4929	97	39	,	,	PUNCT
ejpam-4929	97	40	t1	t1	NOUN
ejpam-4929	97	41	)	)	PUNCT
ejpam-4929	98	1	+	+	CCONJ
ejpam-4929	98	2	ϵz1(t0	ϵz1(t0	X
ejpam-4929	98	3	,	,	PUNCT
ejpam-4929	98	4	t1	t1	NOUN
ejpam-4929	98	5	)	)	PUNCT
ejpam-4929	99	1	+	+	NOUN
ejpam-4929	99	2	o(ϵ2	o(ϵ2	X
ejpam-4929	99	3	)	)	PUNCT
ejpam-4929	99	4	(	(	PUNCT
ejpam-4929	99	5	3a	3a	NUM
ejpam-4929	99	6	)	)	PUNCT
ejpam-4929	99	7	y(t	y(t	PROPN
ejpam-4929	99	8	,	,	PUNCT
ejpam-4929	99	9	ϵ	ϵ	X
ejpam-4929	99	10	)	)	PUNCT
ejpam-4929	99	11	=	=	SYM
ejpam-4929	99	12	y0(t0	y0(t0	NOUN
ejpam-4929	99	13	,	,	PUNCT
ejpam-4929	99	14	t1	t1	NOUN
ejpam-4929	99	15	)	)	PUNCT
ejpam-4929	99	16	+	+	CCONJ
ejpam-4929	99	17	ϵy1(t0	ϵy1(t0	NUM
ejpam-4929	99	18	,	,	PUNCT
ejpam-4929	99	19	t1	t1	NOUN
ejpam-4929	99	20	)	)	PUNCT
ejpam-4929	100	1	+	+	NOUN
ejpam-4929	100	2	o(ϵ2	o(ϵ2	X
ejpam-4929	100	3	)	)	PUNCT
ejpam-4929	100	4	(	(	PUNCT
ejpam-4929	100	5	3b	3b	NUM
ejpam-4929	100	6	)	)	PUNCT
ejpam-4929	100	7	we	we	PRON
ejpam-4929	100	8	provide	provide	VERB
ejpam-4929	100	9	the	the	DET
ejpam-4929	100	10	derivatives	derivative	NOUN
ejpam-4929	100	11	in	in	ADP
ejpam-4929	100	12	the	the	DET
ejpam-4929	100	13	following	follow	VERB
ejpam-4929	100	14	format	format	NOUN
ejpam-4929	100	15	:	:	PUNCT
ejpam-4929	100	16	d	d	X
ejpam-4929	100	17	dt	dt	X
ejpam-4929	100	18	=	=	NOUN
ejpam-4929	100	19	{	{	PUNCT
ejpam-4929	100	20	d0	d0	NOUN
ejpam-4929	100	21	+	+	CCONJ
ejpam-4929	100	22	ϵd1	ϵd1	NOUN
ejpam-4929	100	23	,	,	PUNCT
ejpam-4929	100	24	d2	d2	PROPN
ejpam-4929	100	25	dt2	dt2	PROPN
ejpam-4929	100	26	=	=	PROPN
ejpam-4929	100	27	d2	d2	PROPN
ejpam-4929	100	28	0	0	PUNCT
ejpam-4929	101	1	+	+	CCONJ
ejpam-4929	101	2	2ϵd0d1	2ϵd0d1	X
ejpam-4929	101	3	.	.	PUNCT
ejpam-4929	101	4	(	(	PUNCT
ejpam-4929	101	5	3c	3c	NUM
ejpam-4929	101	6	)	)	PUNCT
ejpam-4929	101	7	where	where	SCONJ
ejpam-4929	101	8	t0	t0	PROPN
ejpam-4929	101	9	=	=	SYM
ejpam-4929	101	10	t	t	PROPN
ejpam-4929	101	11	,	,	PUNCT
ejpam-4929	101	12	t1	t1	NOUN
ejpam-4929	101	13	=	=	PUNCT
ejpam-4929	101	14	ϵt	ϵt	NOUN
ejpam-4929	101	15	and	and	CCONJ
ejpam-4929	101	16	d0	d0	NOUN
ejpam-4929	101	17	=	=	SYM
ejpam-4929	101	18	∂	∂	NUM
ejpam-4929	101	19	∂t0	∂t0	NOUN
ejpam-4929	101	20	,	,	PUNCT
ejpam-4929	101	21	d1	d1	PROPN
ejpam-4929	101	22	=	=	SYM
ejpam-4929	101	23	∂	∂	NUM
ejpam-4929	101	24	∂t1	∂t1	NOUN
ejpam-4929	101	25	are	be	AUX
ejpam-4929	101	26	the	the	DET
ejpam-4929	101	27	time	time	NOUN
ejpam-4929	101	28	scales	scale	NOUN
ejpam-4929	101	29	and	and	CCONJ
ejpam-4929	101	30	derivatives	derivative	NOUN
ejpam-4929	101	31	respectively	respectively	ADV
ejpam-4929	101	32	and	and	CCONJ
ejpam-4929	101	33	substituting	substitute	VERB
ejpam-4929	101	34	equations	equation	NOUN
ejpam-4929	101	35	(	(	PUNCT
ejpam-4929	101	36	3a	3a	NUM
ejpam-4929	101	37	)	)	PUNCT
ejpam-4929	101	38	(	(	PUNCT
ejpam-4929	101	39	3b	3b	NUM
ejpam-4929	101	40	)	)	PUNCT
ejpam-4929	101	41	through	through	ADP
ejpam-4929	101	42	(	(	PUNCT
ejpam-4929	101	43	3c	3c	NUM
ejpam-4929	101	44	)	)	PUNCT
ejpam-4929	101	45	into	into	ADP
ejpam-4929	101	46	equation	equation	NOUN
ejpam-4929	101	47	(	(	PUNCT
ejpam-4929	101	48	2	2	NUM
ejpam-4929	101	49	)	)	PUNCT
ejpam-4929	101	50	,	,	PUNCT
ejpam-4929	101	51	we	we	PRON
ejpam-4929	101	52	get	get	VERB
ejpam-4929	101	53	(	(	PUNCT
ejpam-4929	101	54	d2	d2	NOUN
ejpam-4929	101	55	0z0	0z0	PROPN
ejpam-4929	101	56	+	+	CCONJ
ejpam-4929	101	57	ω2	ω2	ADJ
ejpam-4929	101	58	1z0	1z0	NUM
ejpam-4929	101	59	)	)	PUNCT
ejpam-4929	102	1	+	+	NUM
ejpam-4929	102	2	ϵ(d2	ϵ(d2	NUM
ejpam-4929	102	3	0z1	0z1	NUM
ejpam-4929	102	4	+	+	CCONJ
ejpam-4929	102	5	ω2	ω2	ADJ
ejpam-4929	102	6	1z1	1z1	NUM
ejpam-4929	102	7	+	+	CCONJ
ejpam-4929	102	8	2d0d1z0	2d0d1z0	NUM
ejpam-4929	102	9	+	+	CCONJ
ejpam-4929	102	10	µ1d0z0	µ1d0z0	ADJ
ejpam-4929	102	11	+	+	CCONJ
ejpam-4929	102	12	α	α	NOUN
ejpam-4929	102	13	cos(πt0	cos(πt0	PROPN
ejpam-4929	102	14	)	)	PUNCT
ejpam-4929	103	1	+	+	CCONJ
ejpam-4929	103	2	fa	fa	PROPN
ejpam-4929	103	3	sin(ω1t0	sin(ω1t0	NOUN
ejpam-4929	103	4	)	)	PUNCT
ejpam-4929	103	5	−fh	−fh	PROPN
ejpam-4929	103	6	cos(ω1t0)|	cos(ω1t0)|	NOUN
ejpam-4929	103	7	cos(ω1t0)|	cos(ω1t0)|	NOUN
ejpam-4929	103	8	−	−	PROPN
ejpam-4929	103	9	β1y0	β1y0	PUNCT
ejpam-4929	103	10	)	)	PUNCT
ejpam-4929	104	1	+	+	CCONJ
ejpam-4929	104	2	ϵ2(d2	ϵ2(d2	NUM
ejpam-4929	104	3	0z2	0z2	NUM
ejpam-4929	105	1	+	+	CCONJ
ejpam-4929	105	2	ω2	ω2	ADJ
ejpam-4929	105	3	1z2	1z2	NUM
ejpam-4929	105	4	+	+	CCONJ
ejpam-4929	105	5	2d0d1z1	2d0d1z1	NUM
ejpam-4929	105	6	+	+	ADJ
ejpam-4929	105	7	d2	d2	ADJ
ejpam-4929	105	8	1z0	1z0	NUM
ejpam-4929	105	9	−	−	PROPN
ejpam-4929	105	10	fh	fh	PROPN
ejpam-4929	105	11	cos(ω1t0	cos(ω1t0	NOUN
ejpam-4929	105	12	)	)	PUNCT
ejpam-4929	105	13	|	|	ADV
ejpam-4929	105	14	cos(ω1t0)|	cos(ω1t0)|	NOUN
ejpam-4929	105	15	−	−	PROPN
ejpam-4929	105	16	β1y0	β1y0	PUNCT
ejpam-4929	105	17	)	)	PUNCT
ejpam-4929	106	1	+	+	CCONJ
ejpam-4929	106	2	ϵ2(d2	ϵ2(d2	NUM
ejpam-4929	106	3	0z2	0z2	NUM
ejpam-4929	107	1	+	+	CCONJ
ejpam-4929	108	1	ω2	ω2	ADJ
ejpam-4929	108	2	1z2	1z2	NUM
ejpam-4929	108	3	+	+	CCONJ
ejpam-4929	108	4	2d0d1z1	2d0d1z1	NUM
ejpam-4929	108	5	+	+	ADJ
ejpam-4929	108	6	d2	d2	ADJ
ejpam-4929	108	7	1z0	1z0	NUM
ejpam-4929	108	8	+	+	CCONJ
ejpam-4929	108	9	µ1(d1z0	µ1(d1z0	PROPN
ejpam-4929	108	10	+	+	NOUN
ejpam-4929	108	11	d0z1)−	d0z1)−	NOUN
ejpam-4929	108	12	β1y1	β1y1	PUNCT
ejpam-4929	108	13	)	)	PUNCT
ejpam-4929	108	14	=	=	SYM
ejpam-4929	109	1	0	0	X
ejpam-4929	109	2	.	.	PUNCT
ejpam-4929	110	1	(	(	PUNCT
ejpam-4929	110	2	4a	4a	NUM
ejpam-4929	110	3	)	)	PUNCT
ejpam-4929	110	4	(	(	PUNCT
ejpam-4929	110	5	d2	d2	NOUN
ejpam-4929	110	6	0y0	0y0	NOUN
ejpam-4929	110	7	+	+	CCONJ
ejpam-4929	110	8	ω2	ω2	ADJ
ejpam-4929	110	9	2y0	2y0	NUM
ejpam-4929	110	10	)	)	PUNCT
ejpam-4929	111	1	+	+	NUM
ejpam-4929	111	2	ϵ(d2	ϵ(d2	NUM
ejpam-4929	111	3	0y1	0y1	NUM
ejpam-4929	112	1	+	+	CCONJ
ejpam-4929	113	1	ω2	ω2	ADJ
ejpam-4929	113	2	2y1	2y1	NUM
ejpam-4929	114	1	+	+	CCONJ
ejpam-4929	114	2	2d0d1y0	2d0d1y0	NUM
ejpam-4929	114	3	+	+	NUM
ejpam-4929	114	4	µ2d0y0	µ2d0y0	PROPN
ejpam-4929	114	5	−	−	X
ejpam-4929	114	6	β2z0	β2z0	SYM
ejpam-4929	114	7	)	)	PUNCT
ejpam-4929	114	8	+	+	CCONJ
ejpam-4929	115	1	ϵ2(d2	ϵ2(d2	NUM
ejpam-4929	115	2	0y2	0y2	NUM
ejpam-4929	115	3	+	+	CCONJ
ejpam-4929	115	4	ω2	ω2	ADJ
ejpam-4929	115	5	2y2	2y2	NUM
ejpam-4929	115	6	+	+	CCONJ
ejpam-4929	115	7	2d0d1y1	2d0d1y1	NUM
ejpam-4929	115	8	+	+	ADJ
ejpam-4929	115	9	d2	d2	PROPN
ejpam-4929	115	10	1y0	1y0	X
ejpam-4929	115	11	+	+	CCONJ
ejpam-4929	115	12	µ2(d1y0	µ2(d1y0	VERB
ejpam-4929	115	13	+	+	NOUN
ejpam-4929	115	14	d0y1	d0y1	NOUN
ejpam-4929	115	15	−	−	NOUN
ejpam-4929	115	16	β1z1	β1z1	PUNCT
ejpam-4929	115	17	)	)	PUNCT
ejpam-4929	115	18	=	=	SYM
ejpam-4929	115	19	0	0	X
ejpam-4929	115	20	.	.	PUNCT
ejpam-4929	116	1	(	(	PUNCT
ejpam-4929	116	2	4b	4b	X
ejpam-4929	116	3	)	)	PUNCT
ejpam-4929	116	4	a.	a.	NOUN
ejpam-4929	116	5	alsaadi	alsaadi	NOUN
ejpam-4929	116	6	,	,	PUNCT
ejpam-4929	116	7	y.	y.	PROPN
ejpam-4929	116	8	s.	s.	PROPN
ejpam-4929	116	9	hamed	hamed	PROPN
ejpam-4929	116	10	/	/	SYM
ejpam-4929	116	11	eur	eur	PROPN
ejpam-4929	116	12	.	.	PUNCT
ejpam-4929	117	1	j.	j.	PROPN
ejpam-4929	117	2	pure	pure	PROPN
ejpam-4929	117	3	appl	appl	PROPN
ejpam-4929	117	4	.	.	PROPN
ejpam-4929	117	5	math	math	PROPN
ejpam-4929	117	6	,	,	PUNCT
ejpam-4929	117	7	16	16	NUM
ejpam-4929	117	8	(	(	PUNCT
ejpam-4929	117	9	4	4	NUM
ejpam-4929	117	10	)	)	PUNCT
ejpam-4929	117	11	(	(	PUNCT
ejpam-4929	117	12	2023	2023	NUM
ejpam-4929	117	13	)	)	PUNCT
ejpam-4929	117	14	,	,	PUNCT
ejpam-4929	117	15	2703	2703	NUM
ejpam-4929	117	16	-	-	SYM
ejpam-4929	117	17	2728	2728	NUM
ejpam-4929	117	18	2708	2708	NUM
ejpam-4929	117	19	equating	equate	VERB
ejpam-4929	117	20	the	the	DET
ejpam-4929	117	21	coefficients	coefficient	NOUN
ejpam-4929	117	22	of	of	ADP
ejpam-4929	117	23	ϵ	ϵ	X
ejpam-4929	117	24	in	in	ADP
ejpam-4929	117	25	equation	equation	NOUN
ejpam-4929	117	26	(	(	PUNCT
ejpam-4929	117	27	4	4	X
ejpam-4929	117	28	)	)	PUNCT
ejpam-4929	117	29	leads	lead	NOUN
ejpam-4929	117	30	:	:	PUNCT
ejpam-4929	117	31	o(ϵ0	o(ϵ0	NUM
ejpam-4929	117	32	):	):	PUNCT
ejpam-4929	117	33	(	(	PUNCT
ejpam-4929	117	34	d2	d2	NOUN
ejpam-4929	117	35	0	0	NUM
ejpam-4929	117	36	+	+	CCONJ
ejpam-4929	118	1	ω2	ω2	ADJ
ejpam-4929	118	2	1)z0	1)z0	NUM
ejpam-4929	118	3	=	=	SYM
ejpam-4929	118	4	0	0	PROPN
ejpam-4929	118	5	.	.	PUNCT
ejpam-4929	119	1	(	(	PUNCT
ejpam-4929	119	2	5a	5a	NUM
ejpam-4929	119	3	)	)	PUNCT
ejpam-4929	119	4	(	(	PUNCT
ejpam-4929	119	5	d2	d2	PROPN
ejpam-4929	119	6	0	0	NUM
ejpam-4929	119	7	+	+	CCONJ
ejpam-4929	119	8	ω2	ω2	ADJ
ejpam-4929	119	9	2)y0	2)y0	NUM
ejpam-4929	119	10	=	=	SYM
ejpam-4929	119	11	0	0	NUM
ejpam-4929	119	12	.	.	PUNCT
ejpam-4929	120	1	(	(	PUNCT
ejpam-4929	120	2	5b	5b	NUM
ejpam-4929	120	3	)	)	PUNCT
ejpam-4929	120	4	o(ϵ1	o(ϵ1	NOUN
ejpam-4929	120	5	):	):	PUNCT
ejpam-4929	120	6	(	(	PUNCT
ejpam-4929	120	7	d2	d2	VERB
ejpam-4929	120	8	0+ω2	0+ω2	NOUN
ejpam-4929	120	9	1)z1	1)z1	NUM
ejpam-4929	120	10	=	=	SYM
ejpam-4929	121	1	−2d0d1z0−µ1d0z0−α	−2d0d1z0−µ1d0z0−α	PROPN
ejpam-4929	121	2	cos(πt0)−fa	cos(πt0)−fa	NUM
ejpam-4929	121	3	sin(ω1t0)+fh	sin(ω1t0)+fh	PUNCT
ejpam-4929	121	4	cos	cos	ADP
ejpam-4929	121	5	2(ω1t0)+β1y0	2(ω1t0)+β1y0	NUM
ejpam-4929	121	6	,	,	PUNCT
ejpam-4929	121	7	cos(ω1t0	cos(ω1t0	ADJ
ejpam-4929	121	8	)	)	PUNCT
ejpam-4929	121	9	≥	≥	NOUN
ejpam-4929	121	10	0	0	NUM
ejpam-4929	121	11	.	.	PUNCT
ejpam-4929	122	1	(	(	PUNCT
ejpam-4929	122	2	6a	6a	NOUN
ejpam-4929	122	3	)	)	PUNCT
ejpam-4929	122	4	or	or	CCONJ
ejpam-4929	122	5	(	(	PUNCT
ejpam-4929	122	6	d2	d2	VERB
ejpam-4929	122	7	0+ω2	0+ω2	NOUN
ejpam-4929	122	8	1)z1	1)z1	NUM
ejpam-4929	122	9	=	=	SYM
ejpam-4929	123	1	−2d0d1z0−µ1d0z0−α	−2d0d1z0−µ1d0z0−α	PROPN
ejpam-4929	123	2	cos(πt0)−fa	cos(πt0)−fa	PUNCT
ejpam-4929	123	3	sin(ω1t0)−fh	sin(ω1t0)−fh	PROPN
ejpam-4929	123	4	cos	cos	PROPN
ejpam-4929	123	5	2(ω1t0)+β1y0	2(ω1t0)+β1y0	NUM
ejpam-4929	123	6	,	,	PUNCT
ejpam-4929	123	7	cos(ω1t0	cos(ω1t0	ADJ
ejpam-4929	123	8	)	)	PUNCT
ejpam-4929	123	9	<	<	X
ejpam-4929	123	10	0	0	X
ejpam-4929	123	11	.	.	PUNCT
ejpam-4929	124	1	(	(	PUNCT
ejpam-4929	124	2	6b	6b	NOUN
ejpam-4929	124	3	)	)	PUNCT
ejpam-4929	124	4	(	(	PUNCT
ejpam-4929	124	5	d2	d2	PROPN
ejpam-4929	124	6	0	0	NUM
ejpam-4929	125	1	+	+	CCONJ
ejpam-4929	126	1	ω2	ω2	ADJ
ejpam-4929	126	2	2)y1	2)y1	NUM
ejpam-4929	126	3	=	=	SYM
ejpam-4929	126	4	−2d0d1y0	−2d0d1y0	PROPN
ejpam-4929	126	5	−	−	PROPN
ejpam-4929	126	6	µ2d0y0	µ2d0y0	PROPN
ejpam-4929	126	7	+	+	CCONJ
ejpam-4929	126	8	β2z0	β2z0	X
ejpam-4929	126	9	.	.	PUNCT
ejpam-4929	126	10	(	(	PUNCT
ejpam-4929	126	11	6c	6c	NOUN
ejpam-4929	126	12	)	)	PUNCT
ejpam-4929	126	13	equation	equation	NOUN
ejpam-4929	126	14	(	(	PUNCT
ejpam-4929	126	15	5	5	NUM
ejpam-4929	126	16	)	)	PUNCT
ejpam-4929	126	17	has	have	VERB
ejpam-4929	126	18	a	a	DET
ejpam-4929	126	19	general	general	ADJ
ejpam-4929	126	20	solution	solution	NOUN
ejpam-4929	126	21	expressed	express	VERB
ejpam-4929	126	22	as	as	ADP
ejpam-4929	126	23	:	:	PUNCT
ejpam-4929	126	24	z0	z0	PROPN
ejpam-4929	126	25	=	=	SYM
ejpam-4929	126	26	a1(t1)e	a1(t1)e	NOUN
ejpam-4929	126	27	iω1t0ā1(t1)e	iω1t0ā1(t1)e	X
ejpam-4929	126	28	−iω1t0	−iω1t0	PROPN
ejpam-4929	126	29	.	.	PUNCT
ejpam-4929	127	1	(	(	PUNCT
ejpam-4929	127	2	7a	7a	X
ejpam-4929	127	3	)	)	PUNCT
ejpam-4929	127	4	y0	y0	NOUN
ejpam-4929	127	5	=	=	SYM
ejpam-4929	127	6	a2(t1)e	a2(t1)e	NOUN
ejpam-4929	127	7	iω2t0	iω2t0	PROPN
ejpam-4929	127	8	+	+	PROPN
ejpam-4929	127	9	ā2(t1)e	ā2(t1)e	PROPN
ejpam-4929	127	10	−iω2t0	−iω2t0	PROPN
ejpam-4929	127	11	(	(	PUNCT
ejpam-4929	127	12	7b	7b	NOUN
ejpam-4929	127	13	)	)	PUNCT
ejpam-4929	127	14	substituting	substitute	VERB
ejpam-4929	127	15	equation	equation	NOUN
ejpam-4929	127	16	(	(	PUNCT
ejpam-4929	127	17	7	7	NUM
ejpam-4929	127	18	)	)	PUNCT
ejpam-4929	127	19	into	into	ADP
ejpam-4929	127	20	equation	equation	NOUN
ejpam-4929	127	21	(	(	PUNCT
ejpam-4929	127	22	6	6	NUM
ejpam-4929	127	23	)	)	PUNCT
ejpam-4929	127	24	,	,	PUNCT
ejpam-4929	127	25	the	the	DET
ejpam-4929	127	26	following	follow	VERB
ejpam-4929	127	27	are	be	AUX
ejpam-4929	127	28	obtained	obtain	VERB
ejpam-4929	127	29	:	:	PUNCT
ejpam-4929	127	30	(	(	PUNCT
ejpam-4929	127	31	d2	d2	PROPN
ejpam-4929	127	32	0	0	NUM
ejpam-4929	127	33	+	+	CCONJ
ejpam-4929	127	34	ω2	ω2	ADJ
ejpam-4929	127	35	1)z1	1)z1	NUM
ejpam-4929	127	36	=	=	PUNCT
ejpam-4929	128	1	[	[	X
ejpam-4929	128	2	−iω1(2d1a1	−iω1(2d1a1	X
ejpam-4929	128	3	+	+	X
ejpam-4929	128	4	µ1a1)]e	µ1a1)]e	X
ejpam-4929	128	5	iω1t0	iω1t0	PROPN
ejpam-4929	128	6	+	+	X
ejpam-4929	129	1	[	[	X
ejpam-4929	129	2	iω1(2d1ā1	iω1(2d1ā1	X
ejpam-4929	129	3	+	+	CCONJ
ejpam-4929	129	4	µ1ā1)]e	µ1ā1)]e	ADP
ejpam-4929	129	5	−iω1t0	−iω1t0	PROPN
ejpam-4929	129	6	+	+	NOUN
ejpam-4929	129	7	β1a2e	β1a2e	VERB
ejpam-4929	129	8	iω2t0	iω2t0	PROPN
ejpam-4929	129	9	+	+	SYM
ejpam-4929	129	10	β1ā2e	β1ā2e	NOUN
ejpam-4929	129	11	−iω2t0	−iω2t0	NOUN
ejpam-4929	129	12	+	+	CCONJ
ejpam-4929	129	13	(	(	PUNCT
ejpam-4929	129	14	ifa)/2(e	ifa)/2(e	NOUN
ejpam-4929	129	15	iω1t0	iω1t0	PROPN
ejpam-4929	129	16	−	−	NOUN
ejpam-4929	129	17	e−iω1t0	e−iω1t0	PROPN
ejpam-4929	129	18	)	)	PUNCT
ejpam-4929	129	19	+	+	NUM
ejpam-4929	129	20	fh	fh	PROPN
ejpam-4929	129	21	4	4	NUM
ejpam-4929	129	22	(	(	PUNCT
ejpam-4929	129	23	e(2iω1t0	e(2iω1t0	NOUN
ejpam-4929	129	24	+	+	X
ejpam-4929	129	25	e−2iω1t0	e−2iω1t0	PROPN
ejpam-4929	129	26	+	+	PROPN
ejpam-4929	129	27	2)−	2)−	NUM
ejpam-4929	129	28	α	α	NOUN
ejpam-4929	129	29	2	2	NUM
ejpam-4929	129	30	eiπt0	eiπt0	NOUN
ejpam-4929	129	31	−	−	NOUN
ejpam-4929	129	32	α	α	PROPN
ejpam-4929	129	33	2	2	NUM
ejpam-4929	129	34	e−iπt0	e−iπt0	NUM
ejpam-4929	129	35	)	)	PUNCT
ejpam-4929	129	36	,	,	PUNCT
ejpam-4929	129	37	cos(ω1t0	cos(ω1t0	PROPN
ejpam-4929	129	38	)	)	PUNCT
ejpam-4929	129	39	≥	≥	NOUN
ejpam-4929	129	40	0	0	NUM
ejpam-4929	129	41	.	.	PUNCT
ejpam-4929	130	1	(	(	PUNCT
ejpam-4929	130	2	8a	8a	NUM
ejpam-4929	130	3	)	)	PUNCT
ejpam-4929	130	4	or	or	CCONJ
ejpam-4929	130	5	(	(	PUNCT
ejpam-4929	130	6	d2	d2	PROPN
ejpam-4929	130	7	0	0	NUM
ejpam-4929	130	8	+	+	CCONJ
ejpam-4929	130	9	ω2	ω2	ADJ
ejpam-4929	130	10	1)z1	1)z1	NUM
ejpam-4929	130	11	=	=	PUNCT
ejpam-4929	131	1	[	[	X
ejpam-4929	131	2	−iω1(2d1a1	−iω1(2d1a1	X
ejpam-4929	131	3	+	+	X
ejpam-4929	131	4	µ1a1)]e	µ1a1)]e	X
ejpam-4929	131	5	iω1t0	iω1t0	PROPN
ejpam-4929	131	6	+	+	X
ejpam-4929	132	1	[	[	X
ejpam-4929	132	2	iω1(2d1ā1	iω1(2d1ā1	X
ejpam-4929	132	3	+	+	CCONJ
ejpam-4929	132	4	µ1ā1)]e	µ1ā1)]e	ADP
ejpam-4929	132	5	−iω1t0	−iω1t0	PROPN
ejpam-4929	132	6	+	+	NOUN
ejpam-4929	132	7	β1a2e	β1a2e	VERB
ejpam-4929	132	8	iω2t0	iω2t0	PROPN
ejpam-4929	132	9	+	+	SYM
ejpam-4929	132	10	β1ā2e	β1ā2e	NOUN
ejpam-4929	132	11	−iω2t0	−iω2t0	NOUN
ejpam-4929	132	12	+	+	CCONJ
ejpam-4929	132	13	(	(	PUNCT
ejpam-4929	132	14	ifa)/2(e	ifa)/2(e	NOUN
ejpam-4929	132	15	iω1t0	iω1t0	PROPN
ejpam-4929	132	16	−	−	NOUN
ejpam-4929	132	17	e−iω1t0	e−iω1t0	PROPN
ejpam-4929	132	18	)	)	PUNCT
ejpam-4929	132	19	+	+	NUM
ejpam-4929	132	20	fh	fh	PROPN
ejpam-4929	132	21	4	4	NUM
ejpam-4929	132	22	(	(	PUNCT
ejpam-4929	132	23	e(2iω1t0	e(2iω1t0	NOUN
ejpam-4929	132	24	+	+	X
ejpam-4929	132	25	e−2iω1t0	e−2iω1t0	PROPN
ejpam-4929	132	26	+	+	PROPN
ejpam-4929	132	27	2)−	2)−	NUM
ejpam-4929	132	28	α	α	NOUN
ejpam-4929	132	29	2	2	NUM
ejpam-4929	132	30	eiπt0	eiπt0	NOUN
ejpam-4929	132	31	−	−	NOUN
ejpam-4929	132	32	α	α	PROPN
ejpam-4929	132	33	2	2	NUM
ejpam-4929	132	34	e−iπt0	e−iπt0	NUM
ejpam-4929	132	35	)	)	PUNCT
ejpam-4929	132	36	,	,	PUNCT
ejpam-4929	132	37	cos(ω1t0	cos(ω1t0	NOUN
ejpam-4929	132	38	)	)	PUNCT
ejpam-4929	132	39	<	<	X
ejpam-4929	132	40	0	0	X
ejpam-4929	132	41	.	.	PUNCT
ejpam-4929	132	42	(	(	PUNCT
ejpam-4929	132	43	8b	8b	NUM
ejpam-4929	132	44	)	)	PUNCT
ejpam-4929	132	45	(	(	PUNCT
ejpam-4929	132	46	d2	d2	VERB
ejpam-4929	132	47	0+ω2	0+ω2	NOUN
ejpam-4929	132	48	2)y1	2)y1	NUM
ejpam-4929	132	49	=	=	PUNCT
ejpam-4929	133	1	[	[	X
ejpam-4929	133	2	−iω2(2d1a2+µ1a2)]e	−iω2(2d1a2+µ1a2)]e	NUM
ejpam-4929	133	3	iω2t0+[iω2(2d1ā2+µ1ā2)]e	iω2t0+[iω2(2d1ā2+µ1ā2)]e	NOUN
ejpam-4929	133	4	−iω2t0+β1a1e	−iω2t0+β1a1e	PART
ejpam-4929	133	5	iω2t0+β1ā1e	iω2t0+β1ā1e	VERB
ejpam-4929	133	6	−iω1t0	−iω1t0	PROPN
ejpam-4929	133	7	.	.	PUNCT
ejpam-4929	134	1	(	(	PUNCT
ejpam-4929	134	2	8c	8c	NUM
ejpam-4929	134	3	)	)	PUNCT
ejpam-4929	134	4	a.	a.	NOUN
ejpam-4929	134	5	alsaadi	alsaadi	NOUN
ejpam-4929	134	6	,	,	PUNCT
ejpam-4929	134	7	y.	y.	PROPN
ejpam-4929	134	8	s.	s.	PROPN
ejpam-4929	134	9	hamed	hamed	PROPN
ejpam-4929	134	10	/	/	SYM
ejpam-4929	134	11	eur	eur	PROPN
ejpam-4929	134	12	.	.	PUNCT
ejpam-4929	135	1	j.	j.	PROPN
ejpam-4929	135	2	pure	pure	PROPN
ejpam-4929	135	3	appl	appl	PROPN
ejpam-4929	135	4	.	.	PROPN
ejpam-4929	135	5	math	math	PROPN
ejpam-4929	135	6	,	,	PUNCT
ejpam-4929	135	7	16	16	NUM
ejpam-4929	135	8	(	(	PUNCT
ejpam-4929	135	9	4	4	NUM
ejpam-4929	135	10	)	)	PUNCT
ejpam-4929	135	11	(	(	PUNCT
ejpam-4929	135	12	2023	2023	NUM
ejpam-4929	135	13	)	)	PUNCT
ejpam-4929	135	14	,	,	PUNCT
ejpam-4929	135	15	2703	2703	NUM
ejpam-4929	135	16	-	-	SYM
ejpam-4929	135	17	2728	2728	NUM
ejpam-4929	135	18	2709	2709	NUM
ejpam-4929	135	19	after	after	ADP
ejpam-4929	135	20	the	the	DET
ejpam-4929	135	21	secular	secular	ADJ
ejpam-4929	135	22	terms	term	NOUN
ejpam-4929	135	23	e	e	X
ejpam-4929	135	24	(	(	PUNCT
ejpam-4929	135	25	±	±	NUM
ejpam-4929	135	26	iω1t0	iω1t0	PROPN
ejpam-4929	135	27	)	)	PUNCT
ejpam-4929	135	28	and	and	CCONJ
ejpam-4929	135	29	e	e	X
ejpam-4929	135	30	(	(	PUNCT
ejpam-4929	135	31	±	±	NUM
ejpam-4929	135	32	iω2t0	iω2t0	NOUN
ejpam-4929	135	33	)	)	PUNCT
ejpam-4929	135	34	were	be	AUX
ejpam-4929	135	35	eliminated	eliminate	VERB
ejpam-4929	135	36	from	from	ADP
ejpam-4929	135	37	equations	equation	NOUN
ejpam-4929	135	38	(	(	PUNCT
ejpam-4929	135	39	8a	8a	NUM
ejpam-4929	135	40	)	)	PUNCT
ejpam-4929	135	41	-(8c	-(8c	PROPN
ejpam-4929	135	42	)	)	PUNCT
ejpam-4929	135	43	,	,	PUNCT
ejpam-4929	135	44	the	the	DET
ejpam-4929	135	45	general	general	ADJ
ejpam-4929	135	46	solutions	solution	NOUN
ejpam-4929	135	47	given	give	VERB
ejpam-4929	135	48	as	as	ADP
ejpam-4929	135	49	z1	z1	NOUN
ejpam-4929	135	50	=	=	PUNCT
ejpam-4929	135	51	(	(	PUNCT
ejpam-4929	135	52	a3e	a3e	NOUN
ejpam-4929	135	53	iω1t0	iω1t0	AUX
ejpam-4929	135	54	+	+	NUM
ejpam-4929	135	55	ā3e	ā3e	VERB
ejpam-4929	135	56	iω1t0	iω1t0	PROPN
ejpam-4929	135	57	)	)	PUNCT
ejpam-4929	136	1	+	+	CCONJ
ejpam-4929	136	2	β1	β1	PROPN
ejpam-4929	136	3	(	(	PUNCT
ejpam-4929	136	4	ω2	ω2	NOUN
ejpam-4929	136	5	1	1	NUM
ejpam-4929	136	6	−	−	PROPN
ejpam-4929	136	7	ω2	ω2	ADJ
ejpam-4929	136	8	2	2	NUM
ejpam-4929	136	9	)	)	PUNCT
ejpam-4929	136	10	(	(	PUNCT
ejpam-4929	136	11	a2e	a2e	X
ejpam-4929	136	12	iω2t0	iω2t0	PROPN
ejpam-4929	136	13	+	+	PROPN
ejpam-4929	136	14	ā2e	ā2e	PROPN
ejpam-4929	136	15	−iω2t0	−iω2t0	PROPN
ejpam-4929	136	16	)	)	PUNCT
ejpam-4929	137	1	+	+	CCONJ
ejpam-4929	137	2	(	(	PUNCT
ejpam-4929	137	3	ifa	ifa	PROPN
ejpam-4929	137	4	)	)	PUNCT
ejpam-4929	137	5	2	2	NUM
ejpam-4929	137	6	(	(	PUNCT
ejpam-4929	137	7	ω2	ω2	NOUN
ejpam-4929	137	8	1	1	NUM
ejpam-4929	137	9	−	−	NOUN
ejpam-4929	137	10	ω2	ω2	ADJ
ejpam-4929	137	11	1)(e	1)(e	NUM
ejpam-4929	138	1	iω1t0	iω1t0	PROPN
ejpam-4929	138	2	−	−	PROPN
ejpam-4929	138	3	e−iω1t0	e−iω1t0	NUM
ejpam-4929	138	4	)	)	PUNCT
ejpam-4929	139	1	+	+	NUM
ejpam-4929	139	2	fh	fh	PROPN
ejpam-4929	139	3	4	4	NUM
ejpam-4929	139	4	(	(	PUNCT
ejpam-4929	139	5	ω2	ω2	ADJ
ejpam-4929	139	6	1	1	NUM
ejpam-4929	139	7	−	−	PROPN
ejpam-4929	139	8	4ω2	4ω2	NUM
ejpam-4929	139	9	1)(e	1)(e	NUM
ejpam-4929	139	10	2iω1t0	2iω1t0	NUM
ejpam-4929	139	11	+	+	PUNCT
ejpam-4929	139	12	e−2iω1t0	e−2iω1t0	PROPN
ejpam-4929	139	13	)	)	PUNCT
ejpam-4929	139	14	+	+	NUM
ejpam-4929	139	15	fh	fh	PROPN
ejpam-4929	139	16	(	(	PUNCT
ejpam-4929	139	17	2ω2	2ω2	NOUN
ejpam-4929	139	18	1	1	NUM
ejpam-4929	139	19	)	)	PUNCT
ejpam-4929	139	20	−	−	NOUN
ejpam-4929	140	1	α	α	NOUN
ejpam-4929	140	2	2	2	NUM
ejpam-4929	140	3	(	(	PUNCT
ejpam-4929	140	4	ωa2	ωa2	PROPN
ejpam-4929	140	5	1	1	NUM
ejpam-4929	140	6	−	−	NOUN
ejpam-4929	140	7	π2)(eiπt0	π2)(eiπt0	NOUN
ejpam-4929	140	8	+	+	X
ejpam-4929	140	9	e−iπt0	e−iπt0	NUM
ejpam-4929	140	10	)	)	PUNCT
ejpam-4929	140	11	.	.	PUNCT
ejpam-4929	141	1	(	(	PUNCT
ejpam-4929	141	2	9a	9a	NOUN
ejpam-4929	141	3	)	)	PUNCT
ejpam-4929	141	4	or	or	CCONJ
ejpam-4929	141	5	z1	z1	NOUN
ejpam-4929	141	6	=	=	PUNCT
ejpam-4929	141	7	(	(	PUNCT
ejpam-4929	141	8	a3e	a3e	NOUN
ejpam-4929	141	9	iω1t0	iω1t0	AUX
ejpam-4929	141	10	+	+	NUM
ejpam-4929	141	11	ā3e	ā3e	VERB
ejpam-4929	141	12	iω1t0	iω1t0	PROPN
ejpam-4929	141	13	)	)	PUNCT
ejpam-4929	142	1	+	+	CCONJ
ejpam-4929	142	2	β1	β1	PROPN
ejpam-4929	142	3	(	(	PUNCT
ejpam-4929	142	4	ω2	ω2	NOUN
ejpam-4929	142	5	1	1	NUM
ejpam-4929	142	6	−	−	PROPN
ejpam-4929	142	7	ω2	ω2	ADJ
ejpam-4929	142	8	2	2	NUM
ejpam-4929	142	9	)	)	PUNCT
ejpam-4929	142	10	(	(	PUNCT
ejpam-4929	142	11	a2e	a2e	X
ejpam-4929	142	12	iω2t0	iω2t0	PROPN
ejpam-4929	142	13	+	+	PROPN
ejpam-4929	142	14	ā2e	ā2e	PROPN
ejpam-4929	142	15	−iω2t0	−iω2t0	PROPN
ejpam-4929	142	16	)	)	PUNCT
ejpam-4929	143	1	+	+	CCONJ
ejpam-4929	143	2	(	(	PUNCT
ejpam-4929	143	3	ifa	ifa	PROPN
ejpam-4929	143	4	)	)	PUNCT
ejpam-4929	143	5	2	2	NUM
ejpam-4929	143	6	(	(	PUNCT
ejpam-4929	143	7	ω2	ω2	NOUN
ejpam-4929	143	8	1	1	NUM
ejpam-4929	143	9	−	−	NOUN
ejpam-4929	143	10	ω2	ω2	ADJ
ejpam-4929	143	11	1)(e	1)(e	NUM
ejpam-4929	143	12	iω1t0	iω1t0	PROPN
ejpam-4929	143	13	−	−	PROPN
ejpam-4929	143	14	e−iω1t0)−	e−iω1t0)−	PROPN
ejpam-4929	143	15	fh	fh	PROPN
ejpam-4929	143	16	4	4	NUM
ejpam-4929	143	17	(	(	PUNCT
ejpam-4929	143	18	ω2	ω2	ADJ
ejpam-4929	143	19	1	1	NUM
ejpam-4929	143	20	−	−	PROPN
ejpam-4929	143	21	4ω2	4ω2	NUM
ejpam-4929	143	22	1)(e	1)(e	NUM
ejpam-4929	143	23	2iω1t0	2iω1t0	NUM
ejpam-4929	143	24	+	+	NUM
ejpam-4929	143	25	e−2iω1t0	e−2iω1t0	PROPN
ejpam-4929	143	26	)	)	PUNCT
ejpam-4929	143	27	−	−	PROPN
ejpam-4929	143	28	fh	fh	PROPN
ejpam-4929	143	29	(	(	PUNCT
ejpam-4929	143	30	2ω2	2ω2	NOUN
ejpam-4929	143	31	1	1	NUM
ejpam-4929	143	32	)	)	PUNCT
ejpam-4929	143	33	−	−	NOUN
ejpam-4929	143	34	α	α	NOUN
ejpam-4929	143	35	2	2	NUM
ejpam-4929	143	36	(	(	PUNCT
ejpam-4929	143	37	ω2	ω2	NOUN
ejpam-4929	143	38	1	1	NUM
ejpam-4929	143	39	−	−	NOUN
ejpam-4929	143	40	π2)(eiπt0	π2)(eiπt0	NOUN
ejpam-4929	143	41	+	+	X
ejpam-4929	143	42	e−iπt0	e−iπt0	NUM
ejpam-4929	143	43	)	)	PUNCT
ejpam-4929	143	44	.	.	PUNCT
ejpam-4929	144	1	(	(	PUNCT
ejpam-4929	144	2	9b	9b	NOUN
ejpam-4929	144	3	)	)	PUNCT
ejpam-4929	144	4	y1	y1	NOUN
ejpam-4929	144	5	=	=	SYM
ejpam-4929	144	6	(	(	PUNCT
ejpam-4929	144	7	a4e	a4e	PROPN
ejpam-4929	144	8	(	(	PUNCT
ejpam-4929	144	9	iω2t0	iω2t0	PROPN
ejpam-4929	144	10	)	)	PUNCT
ejpam-4929	144	11	+	+	NUM
ejpam-4929	144	12	ā4e	ā4e	PROPN
ejpam-4929	144	13	−iω2t0	−iω2t0	PROPN
ejpam-4929	144	14	)	)	PUNCT
ejpam-4929	145	1	+	+	CCONJ
ejpam-4929	145	2	β2	β2	NOUN
ejpam-4929	145	3	(	(	PUNCT
ejpam-4929	145	4	ω2	ω2	ADJ
ejpam-4929	145	5	2	2	NUM
ejpam-4929	145	6	−	−	NOUN
ejpam-4929	145	7	ω2	ω2	ADJ
ejpam-4929	145	8	1	1	NUM
ejpam-4929	145	9	)	)	PUNCT
ejpam-4929	145	10	(	(	PUNCT
ejpam-4929	145	11	a1e	a1e	ADP
ejpam-4929	145	12	iω1t0	iω1t0	PROPN
ejpam-4929	145	13	+	+	NUM
ejpam-4929	145	14	ā1e	ā1e	NOUN
ejpam-4929	145	15	−iω1t0	−iω1t0	PROPN
ejpam-4929	145	16	)	)	PUNCT
ejpam-4929	145	17	.	.	PUNCT
ejpam-4929	146	1	(	(	PUNCT
ejpam-4929	146	2	9c	9c	X
ejpam-4929	146	3	)	)	PUNCT
ejpam-4929	146	4	the	the	DET
ejpam-4929	146	5	resonances	resonance	NOUN
ejpam-4929	146	6	were	be	AUX
ejpam-4929	146	7	obtained	obtain	VERB
ejpam-4929	146	8	from	from	ADP
ejpam-4929	146	9	the	the	DET
ejpam-4929	146	10	approximations	approximation	NOUN
ejpam-4929	146	11	and	and	CCONJ
ejpam-4929	146	12	are	be	AUX
ejpam-4929	146	13	given	give	VERB
ejpam-4929	146	14	as	as	SCONJ
ejpam-4929	146	15	follows	follow	VERB
ejpam-4929	146	16	:	:	PUNCT
ejpam-4929	146	17	a	a	DET
ejpam-4929	146	18	.	.	PUNCT
ejpam-4929	146	19	primary	primary	ADJ
ejpam-4929	146	20	,	,	PUNCT
ejpam-4929	146	21	super	super	ADJ
ejpam-4929	146	22	-	-	ADJ
ejpam-4929	146	23	harmonic	harmonic	ADJ
ejpam-4929	146	24	and	and	CCONJ
ejpam-4929	146	25	internal	internal	ADJ
ejpam-4929	146	26	resonance	resonance	NOUN
ejpam-4929	146	27	are	be	AUX
ejpam-4929	146	28	:	:	PUNCT
ejpam-4929	146	29	ω1	ω1	ADJ
ejpam-4929	146	30	≊	≊	PUNCT
ejpam-4929	146	31	±ω1,ω1	±ω1,ω1	X
ejpam-4929	146	32	≊	≊	NOUN
ejpam-4929	146	33	±ω12	±ω12	NOUN
ejpam-4929	146	34	and	and	CCONJ
ejpam-4929	146	35	ω1	ω1	ADJ
ejpam-4929	146	36	≊	≊	PUNCT
ejpam-4929	146	37	±ω2	±ω2	PROPN
ejpam-4929	146	38	.	.	PUNCT
ejpam-4929	147	1	b	b	X
ejpam-4929	147	2	with	with	ADP
ejpam-4929	147	3	any	any	DET
ejpam-4929	147	4	combination	combination	NOUN
ejpam-4929	147	5	of	of	ADP
ejpam-4929	147	6	the	the	DET
ejpam-4929	147	7	above	above	ADJ
ejpam-4929	147	8	resonance	resonance	NOUN
ejpam-4929	147	9	cases	case	NOUN
ejpam-4929	147	10	,	,	PUNCT
ejpam-4929	147	11	simultaneous	simultaneous	ADJ
ejpam-4929	147	12	resonance	resonance	NOUN
ejpam-4929	147	13	is	be	AUX
ejpam-4929	147	14	obtained	obtain	VERB
ejpam-4929	147	15	.	.	PUNCT
ejpam-4929	148	1	analysis	analysis	NOUN
ejpam-4929	148	2	and	and	CCONJ
ejpam-4929	148	3	studies	study	NOUN
ejpam-4929	148	4	are	be	AUX
ejpam-4929	148	5	done	do	VERB
ejpam-4929	148	6	on	on	ADP
ejpam-4929	148	7	the	the	DET
ejpam-4929	148	8	solution	solution	NOUN
ejpam-4929	148	9	’s	’s	PART
ejpam-4929	148	10	stability	stability	NOUN
ejpam-4929	148	11	in	in	ADP
ejpam-4929	148	12	the	the	DET
ejpam-4929	148	13	primary	primary	NOUN
ejpam-4929	148	14	with	with	ADP
ejpam-4929	148	15	internal	internal	ADJ
ejpam-4929	148	16	resonance	resonance	NOUN
ejpam-4929	148	17	caseω1	caseω1	NOUN
ejpam-4929	148	18	≊	≊	PUNCT
ejpam-4929	148	19	ω1	ω1	PROPN
ejpam-4929	148	20	,	,	PUNCT
ejpam-4929	148	21	ω1	ω1	PROPN
ejpam-4929	148	22	≊	≊	NUM
ejpam-4929	148	23	ω2	ω2	ADJ
ejpam-4929	148	24	,	,	PUNCT
ejpam-4929	148	25	where	where	SCONJ
ejpam-4929	148	26	the	the	DET
ejpam-4929	148	27	detuning	detune	VERB
ejpam-4929	148	28	σ1	σ1	PROPN
ejpam-4929	148	29	and	and	CCONJ
ejpam-4929	148	30	σ2	σ2	PROPN
ejpam-4929	148	31	are	be	AUX
ejpam-4929	148	32	given	give	VERB
ejpam-4929	148	33	as	as	ADP
ejpam-4929	148	34	:	:	PUNCT
ejpam-4929	148	35	ω1	ω1	PROPN
ejpam-4929	148	36	=	=	PROPN
ejpam-4929	148	37	ω1	ω1	PROPN
ejpam-4929	148	38	+	+	CCONJ
ejpam-4929	148	39	ϵσ1	ϵσ1	PROPN
ejpam-4929	148	40	,	,	PUNCT
ejpam-4929	148	41	ω2	ω2	NOUN
ejpam-4929	148	42	=	=	PROPN
ejpam-4929	148	43	ω1	ω1	PROPN
ejpam-4929	148	44	+	+	CCONJ
ejpam-4929	148	45	ϵσ2	ϵσ2	PROPN
ejpam-4929	148	46	.	.	PUNCT
ejpam-4929	149	1	(	(	PUNCT
ejpam-4929	149	2	10	10	NUM
ejpam-4929	149	3	)	)	PUNCT
ejpam-4929	149	4	the	the	DET
ejpam-4929	149	5	first	first	ADJ
ejpam-4929	149	6	order	order	NOUN
ejpam-4929	149	7	approximation	approximation	NOUN
ejpam-4929	149	8	’s	’s	PART
ejpam-4929	149	9	solvability	solvability	NOUN
ejpam-4929	149	10	conditions	condition	NOUN
ejpam-4929	149	11	are	be	AUX
ejpam-4929	149	12	given	give	VERB
ejpam-4929	149	13	by	by	ADP
ejpam-4929	149	14	inserting	insert	VERB
ejpam-4929	149	15	equation	equation	NOUN
ejpam-4929	149	16	(	(	PUNCT
ejpam-4929	149	17	10	10	NUM
ejpam-4929	149	18	)	)	PUNCT
ejpam-4929	149	19	into	into	ADP
ejpam-4929	149	20	equation	equation	NOUN
ejpam-4929	149	21	(	(	PUNCT
ejpam-4929	149	22	8a	8a	NUM
ejpam-4929	149	23	)	)	PUNCT
ejpam-4929	149	24	-(8b	-(8b	X
ejpam-4929	149	25	)	)	PUNCT
ejpam-4929	149	26	and	and	CCONJ
ejpam-4929	149	27	removing	remove	VERB
ejpam-4929	149	28	the	the	DET
ejpam-4929	149	29	secular	secular	NOUN
ejpam-4929	149	30	then	then	ADV
ejpam-4929	149	31	we	we	PRON
ejpam-4929	149	32	get	get	VERB
ejpam-4929	149	33	:	:	PUNCT
ejpam-4929	149	34	−iω1(2d1a1	−iω1(2d1a1	X
ejpam-4929	149	35	+	+	CCONJ
ejpam-4929	149	36	µ1a1	µ1a1	X
ejpam-4929	149	37	)	)	PUNCT
ejpam-4929	149	38	+	+	NUM
ejpam-4929	149	39	β1a2e	β1a2e	PUNCT
ejpam-4929	149	40	iσ2t1	iσ2t1	NOUN
ejpam-4929	149	41	+	+	CCONJ
ejpam-4929	149	42	(	(	PUNCT
ejpam-4929	149	43	ifa	ifa	PROPN
ejpam-4929	149	44	)	)	PUNCT
ejpam-4929	149	45	2	2	NUM
ejpam-4929	149	46	eiσ1t1	eiσ1t1	NOUN
ejpam-4929	149	47	=	=	NOUN
ejpam-4929	149	48	0	0	PROPN
ejpam-4929	149	49	.	.	PUNCT
ejpam-4929	149	50	(	(	PUNCT
ejpam-4929	149	51	11a	11a	NUM
ejpam-4929	149	52	)	)	PUNCT
ejpam-4929	149	53	a.	a.	NOUN
ejpam-4929	149	54	alsaadi	alsaadi	NOUN
ejpam-4929	149	55	,	,	PUNCT
ejpam-4929	149	56	y.	y.	PROPN
ejpam-4929	149	57	s.	s.	PROPN
ejpam-4929	149	58	hamed	hamed	PROPN
ejpam-4929	149	59	/	/	SYM
ejpam-4929	149	60	eur	eur	PROPN
ejpam-4929	149	61	.	.	PUNCT
ejpam-4929	150	1	j.	j.	PROPN
ejpam-4929	150	2	pure	pure	PROPN
ejpam-4929	150	3	appl	appl	PROPN
ejpam-4929	150	4	.	.	PROPN
ejpam-4929	150	5	math	math	PROPN
ejpam-4929	150	6	,	,	PUNCT
ejpam-4929	150	7	16	16	NUM
ejpam-4929	150	8	(	(	PUNCT
ejpam-4929	150	9	4	4	NUM
ejpam-4929	150	10	)	)	PUNCT
ejpam-4929	150	11	(	(	PUNCT
ejpam-4929	150	12	2023	2023	NUM
ejpam-4929	150	13	)	)	PUNCT
ejpam-4929	150	14	,	,	PUNCT
ejpam-4929	150	15	2703	2703	NUM
ejpam-4929	150	16	-	-	SYM
ejpam-4929	150	17	2728	2728	NUM
ejpam-4929	150	18	2710	2710	NUM
ejpam-4929	150	19	−iω2(2d1a2	−iω2(2d1a2	X
ejpam-4929	151	1	+	+	X
ejpam-4929	151	2	µ2a2	µ2a2	X
ejpam-4929	151	3	)	)	PUNCT
ejpam-4929	151	4	+	+	CCONJ
ejpam-4929	151	5	β1a1e	β1a1e	NUM
ejpam-4929	151	6	(	(	PUNCT
ejpam-4929	151	7	−	−	PUNCT
ejpam-4929	151	8	iσ2t0	iσ2t0	NOUN
ejpam-4929	151	9	)	)	PUNCT
ejpam-4929	151	10	=	=	SYM
ejpam-4929	151	11	0	0	X
ejpam-4929	151	12	.	.	PUNCT
ejpam-4929	151	13	(	(	PUNCT
ejpam-4929	151	14	11b	11b	NOUN
ejpam-4929	151	15	)	)	PUNCT
ejpam-4929	151	16	let	let	VERB
ejpam-4929	151	17	’s	’s	PRON
ejpam-4929	151	18	introduce	introduce	VERB
ejpam-4929	151	19	the	the	DET
ejpam-4929	151	20	polar	polar	ADJ
ejpam-4929	151	21	form	form	NOUN
ejpam-4929	151	22	as	as	ADP
ejpam-4929	151	23	:	:	PUNCT
ejpam-4929	151	24	a1	a1	NOUN
ejpam-4929	151	25	=	=	NOUN
ejpam-4929	151	26	1	1	NUM
ejpam-4929	151	27	2	2	NUM
ejpam-4929	151	28	a1(t1)e	a1(t1)e	NOUN
ejpam-4929	151	29	iϕ1(t1	iϕ1(t1	NOUN
ejpam-4929	151	30	)	)	PUNCT
ejpam-4929	151	31	,	,	PUNCT
ejpam-4929	151	32	a2	a2	PROPN
ejpam-4929	151	33	=	=	SYM
ejpam-4929	151	34	1	1	NUM
ejpam-4929	151	35	2	2	NUM
ejpam-4929	151	36	a2(t1)e	a2(t1)e	NOUN
ejpam-4929	151	37	iϕ2(t1	iϕ2(t1	NUM
ejpam-4929	151	38	)	)	PUNCT
ejpam-4929	151	39	(	(	PUNCT
ejpam-4929	151	40	12	12	NUM
ejpam-4929	151	41	)	)	PUNCT
ejpam-4929	151	42	where	where	SCONJ
ejpam-4929	151	43	ϕ1	ϕ1	NOUN
ejpam-4929	151	44	,	,	PUNCT
ejpam-4929	151	45	ϕ2	ϕ2	ADV
ejpam-4929	151	46	are	be	AUX
ejpam-4929	151	47	the	the	DET
ejpam-4929	151	48	motion	motion	NOUN
ejpam-4929	151	49	’s	’s	PART
ejpam-4929	151	50	phases	phase	NOUN
ejpam-4929	151	51	and	and	CCONJ
ejpam-4929	151	52	a1	a1	NOUN
ejpam-4929	151	53	,	,	PUNCT
ejpam-4929	151	54	a2	a2	PROPN
ejpam-4929	151	55	are	be	AUX
ejpam-4929	151	56	the	the	DET
ejpam-4929	151	57	amplitudes	amplitude	NOUN
ejpam-4929	151	58	steady	steady	ADJ
ejpam-4929	151	59	state	state	NOUN
ejpam-4929	151	60	.	.	PUNCT
ejpam-4929	152	1	by	by	ADP
ejpam-4929	152	2	inserting	insert	VERB
ejpam-4929	152	3	equation	equation	NOUN
ejpam-4929	152	4	(	(	PUNCT
ejpam-4929	152	5	12	12	NUM
ejpam-4929	152	6	)	)	PUNCT
ejpam-4929	152	7	into	into	ADP
ejpam-4929	152	8	equations	equation	NOUN
ejpam-4929	152	9	(	(	PUNCT
ejpam-4929	152	10	11a)–(11b	11a)–(11b	NUM
ejpam-4929	152	11	)	)	PUNCT
ejpam-4929	152	12	and	and	CCONJ
ejpam-4929	152	13	equating	equate	VERB
ejpam-4929	152	14	the	the	DET
ejpam-4929	152	15	real	real	ADJ
ejpam-4929	152	16	and	and	CCONJ
ejpam-4929	152	17	imaginary	imaginary	ADJ
ejpam-4929	152	18	parts	part	NOUN
ejpam-4929	152	19	,	,	PUNCT
ejpam-4929	152	20	the	the	DET
ejpam-4929	152	21	modulation	modulation	NOUN
ejpam-4929	152	22	of	of	ADP
ejpam-4929	152	23	the	the	DET
ejpam-4929	152	24	phases	phase	NOUN
ejpam-4929	152	25	and	and	CCONJ
ejpam-4929	152	26	amplitudes	amplitude	NOUN
ejpam-4929	152	27	is	be	AUX
ejpam-4929	152	28	achieved	achieve	VERB
ejpam-4929	152	29	,	,	PUNCT
ejpam-4929	152	30	and	and	CCONJ
ejpam-4929	152	31	the	the	DET
ejpam-4929	152	32	result	result	NOUN
ejpam-4929	152	33	is	be	AUX
ejpam-4929	152	34	as	as	SCONJ
ejpam-4929	152	35	follows	follow	VERB
ejpam-4929	152	36	.	.	PUNCT
ejpam-4929	153	1	ȧ1	ȧ1	PROPN
ejpam-4929	153	2	=	=	PUNCT
ejpam-4929	154	1	−µ1a1	−µ1a1	NOUN
ejpam-4929	154	2	2	2	NUM
ejpam-4929	154	3	+	+	CCONJ
ejpam-4929	154	4	(	(	PUNCT
ejpam-4929	154	5	β1a2	β1a2	X
ejpam-4929	154	6	)	)	PUNCT
ejpam-4929	154	7	2ω1	2ω1	NUM
ejpam-4929	154	8	sin	sin	NOUN
ejpam-4929	154	9	θ2	θ2	ADP
ejpam-4929	154	10	+	+	CCONJ
ejpam-4929	154	11	fa	fa	PROPN
ejpam-4929	154	12	2ω1	2ω1	NUM
ejpam-4929	154	13	cos	cos	PROPN
ejpam-4929	154	14	θ1	θ1	PROPN
ejpam-4929	154	15	(	(	PUNCT
ejpam-4929	154	16	13a	13a	NUM
ejpam-4929	154	17	)	)	PUNCT
ejpam-4929	154	18	a1ϕ̇1	a1ϕ̇1	PROPN
ejpam-4929	155	1	=	=	PUNCT
ejpam-4929	155	2	−β1a2	−β1a2	VERB
ejpam-4929	155	3	2ω1	2ω1	NUM
ejpam-4929	155	4	cos	cos	PROPN
ejpam-4929	155	5	θ2	θ2	PROPN
ejpam-4929	155	6	+	+	CCONJ
ejpam-4929	155	7	fa	fa	PROPN
ejpam-4929	155	8	2ω1	2ω1	NUM
ejpam-4929	155	9	sin	sin	NOUN
ejpam-4929	155	10	θ1	θ1	NOUN
ejpam-4929	155	11	(	(	PUNCT
ejpam-4929	155	12	13b	13b	X
ejpam-4929	155	13	)	)	PUNCT
ejpam-4929	155	14	ȧ2	ȧ2	PROPN
ejpam-4929	155	15	=	=	SYM
ejpam-4929	155	16	−µ2a2	−µ2a2	PROPN
ejpam-4929	155	17	2	2	NUM
ejpam-4929	155	18	−	−	NOUN
ejpam-4929	155	19	β2a1	β2a1	NOUN
ejpam-4929	155	20	2ω2	2ω2	NUM
ejpam-4929	155	21	sin	sin	NOUN
ejpam-4929	155	22	θ2	θ2	PROPN
ejpam-4929	155	23	(	(	PUNCT
ejpam-4929	155	24	14a	14a	NOUN
ejpam-4929	155	25	)	)	PUNCT
ejpam-4929	155	26	a2ϕ̇2	a2ϕ̇2	NOUN
ejpam-4929	155	27	=	=	SYM
ejpam-4929	155	28	−β2a1	−β2a1	PROPN
ejpam-4929	155	29	2ω2	2ω2	NUM
ejpam-4929	155	30	cos	cos	PROPN
ejpam-4929	155	31	θ2	θ2	PROPN
ejpam-4929	155	32	(	(	PUNCT
ejpam-4929	155	33	14b	14b	NUM
ejpam-4929	155	34	)	)	PUNCT
ejpam-4929	155	35	where	where	SCONJ
ejpam-4929	155	36	θ1	θ1	NOUN
ejpam-4929	155	37	=	=	SYM
ejpam-4929	155	38	σ1t1	σ1t1	ADP
ejpam-4929	155	39	−	−	PROPN
ejpam-4929	155	40	ϕ1	ϕ1	NOUN
ejpam-4929	155	41	,	,	PUNCT
ejpam-4929	155	42	θ2	θ2	PROPN
ejpam-4929	155	43	=	=	SYM
ejpam-4929	155	44	σ2t1	σ2t1	NUM
ejpam-4929	155	45	−	−	PROPN
ejpam-4929	155	46	ϕ1	ϕ1	NOUN
ejpam-4929	155	47	+	+	CCONJ
ejpam-4929	155	48	ϕ2	ϕ2	ADV
ejpam-4929	155	49	(	(	PUNCT
ejpam-4929	155	50	15	15	NUM
ejpam-4929	155	51	)	)	PUNCT
ejpam-4929	155	52	from	from	ADP
ejpam-4929	155	53	equation	equation	NOUN
ejpam-4929	155	54	(	(	PUNCT
ejpam-4929	155	55	15	15	NUM
ejpam-4929	155	56	)	)	PUNCT
ejpam-4929	155	57	we	we	PRON
ejpam-4929	155	58	have	have	VERB
ejpam-4929	155	59	ϕ̇1	ϕ̇1	PROPN
ejpam-4929	155	60	=	=	SYM
ejpam-4929	155	61	σ1	σ1	PROPN
ejpam-4929	155	62	−	−	PROPN
ejpam-4929	155	63	θ̇1	θ̇1	PROPN
ejpam-4929	155	64	,	,	PUNCT
ejpam-4929	155	65	ϕ̇2	ϕ̇2	PROPN
ejpam-4929	155	66	=	=	PROPN
ejpam-4929	155	67	σ2	σ2	PROPN
ejpam-4929	155	68	−	−	PROPN
ejpam-4929	155	69	σ1	σ1	PROPN
ejpam-4929	155	70	−	−	PROPN
ejpam-4929	156	1	θ̇2	θ̇2	PROPN
ejpam-4929	156	2	+	+	CCONJ
ejpam-4929	156	3	θ1	θ1	NOUN
ejpam-4929	156	4	(	(	PUNCT
ejpam-4929	156	5	16	16	NUM
ejpam-4929	156	6	)	)	PUNCT
ejpam-4929	156	7	substituting	substitute	VERB
ejpam-4929	156	8	equation	equation	NOUN
ejpam-4929	156	9	(	(	PUNCT
ejpam-4929	156	10	16	16	NUM
ejpam-4929	156	11	)	)	PUNCT
ejpam-4929	156	12	into	into	ADP
ejpam-4929	156	13	equations	equation	NOUN
ejpam-4929	156	14	(	(	PUNCT
ejpam-4929	156	15	13a	13a	NOUN
ejpam-4929	156	16	)	)	PUNCT
ejpam-4929	156	17	-(14b	-(14b	NOUN
ejpam-4929	156	18	)	)	PUNCT
ejpam-4929	157	1	,	,	PUNCT
ejpam-4929	157	2	we	we	PRON
ejpam-4929	157	3	obtained	obtain	VERB
ejpam-4929	157	4	ȧ1	ȧ1	PROPN
ejpam-4929	157	5	=	=	PUNCT
ejpam-4929	158	1	−µ1a1	−µ1a1	PROPN
ejpam-4929	158	2	2	2	NUM
ejpam-4929	158	3	+	+	CCONJ
ejpam-4929	158	4	β1a2	β1a2	X
ejpam-4929	158	5	)	)	PUNCT
ejpam-4929	158	6	2ω1	2ω1	NUM
ejpam-4929	158	7	sin	sin	NOUN
ejpam-4929	158	8	θ2	θ2	ADP
ejpam-4929	158	9	+	+	CCONJ
ejpam-4929	158	10	fa	fa	PROPN
ejpam-4929	158	11	(	(	PUNCT
ejpam-4929	158	12	2ω1	2ω1	NUM
ejpam-4929	158	13	cos	cos	PROPN
ejpam-4929	158	14	θ1	θ1	NOUN
ejpam-4929	158	15	.	.	PUNCT
ejpam-4929	159	1	(	(	PUNCT
ejpam-4929	159	2	17a	17a	X
ejpam-4929	159	3	)	)	PUNCT
ejpam-4929	159	4	a1θ̇1	a1θ̇1	PROPN
ejpam-4929	159	5	=	=	PUNCT
ejpam-4929	160	1	a1σ1	a1σ1	X
ejpam-4929	160	2	+	+	PUNCT
ejpam-4929	160	3	β1a2	β1a2	SYM
ejpam-4929	160	4	2ω1	2ω1	NUM
ejpam-4929	160	5	cos	co	NOUN
ejpam-4929	160	6	θ2	θ2	PROPN
ejpam-4929	160	7	−	−	PROPN
ejpam-4929	160	8	fa	fa	PROPN
ejpam-4929	160	9	2ω1	2ω1	NUM
ejpam-4929	160	10	sin	sin	NOUN
ejpam-4929	160	11	θ1	θ1	NOUN
ejpam-4929	160	12	(	(	PUNCT
ejpam-4929	160	13	17b	17b	NUM
ejpam-4929	160	14	)	)	PUNCT
ejpam-4929	160	15	ȧ2	ȧ2	PROPN
ejpam-4929	160	16	=	=	SYM
ejpam-4929	160	17	−µ2a2	−µ2a2	PROPN
ejpam-4929	160	18	2	2	NUM
ejpam-4929	160	19	−	−	NOUN
ejpam-4929	160	20	β2a1	β2a1	NOUN
ejpam-4929	160	21	2ω2	2ω2	NUM
ejpam-4929	160	22	sin	sin	NOUN
ejpam-4929	160	23	θ2	θ2	PROPN
ejpam-4929	160	24	(	(	PUNCT
ejpam-4929	160	25	18a	18a	NOUN
ejpam-4929	160	26	)	)	PUNCT
ejpam-4929	160	27	a2θ̇2	a2θ̇2	NOUN
ejpam-4929	160	28	=	=	PUNCT
ejpam-4929	160	29	a2σ2	a2σ2	PUNCT
ejpam-4929	160	30	−	−	NOUN
ejpam-4929	160	31	β2a1	β2a1	NOUN
ejpam-4929	160	32	2ω2	2ω2	NUM
ejpam-4929	160	33	cos	cos	NOUN
ejpam-4929	160	34	θ2	θ2	PROPN
ejpam-4929	160	35	+	+	CCONJ
ejpam-4929	160	36	β1a	β1a	X
ejpam-4929	160	37	2	2	NUM
ejpam-4929	160	38	2	2	NUM
ejpam-4929	160	39	2ω1a1	2ω1a1	NUM
ejpam-4929	160	40	cos	cos	PROPN
ejpam-4929	160	41	θ2	θ2	PROPN
ejpam-4929	160	42	−	−	PROPN
ejpam-4929	160	43	faa2	faa2	ADJ
ejpam-4929	160	44	2ω1a1	2ω1a1	NUM
ejpam-4929	160	45	sin	sin	NOUN
ejpam-4929	160	46	θ1	θ1	NOUN
ejpam-4929	160	47	(	(	PUNCT
ejpam-4929	160	48	18b	18b	NUM
ejpam-4929	160	49	)	)	PUNCT
ejpam-4929	160	50	it	it	PRON
ejpam-4929	160	51	is	be	AUX
ejpam-4929	160	52	too	too	ADV
ejpam-4929	160	53	difficult	difficult	ADJ
ejpam-4929	160	54	to	to	PART
ejpam-4929	160	55	find	find	VERB
ejpam-4929	160	56	the	the	DET
ejpam-4929	160	57	solutions	solution	NOUN
ejpam-4929	160	58	of	of	ADP
ejpam-4929	160	59	equations	equation	NOUN
ejpam-4929	160	60	(	(	PUNCT
ejpam-4929	160	61	17	17	NUM
ejpam-4929	160	62	)	)	PUNCT
ejpam-4929	160	63	and	and	CCONJ
ejpam-4929	160	64	(	(	PUNCT
ejpam-4929	160	65	18	18	NUM
ejpam-4929	160	66	)	)	PUNCT
ejpam-4929	160	67	analytically	analytically	ADV
ejpam-4929	160	68	,	,	PUNCT
ejpam-4929	160	69	but	but	CCONJ
ejpam-4929	160	70	we	we	PRON
ejpam-4929	160	71	can	can	AUX
ejpam-4929	160	72	obtain	obtain	VERB
ejpam-4929	160	73	the	the	DET
ejpam-4929	160	74	solutions	solution	NOUN
ejpam-4929	160	75	numerically	numerically	ADV
ejpam-4929	160	76	.	.	PUNCT
ejpam-4929	161	1	to	to	PART
ejpam-4929	161	2	obtain	obtain	VERB
ejpam-4929	161	3	the	the	DET
ejpam-4929	161	4	approximate	approximate	ADJ
ejpam-4929	161	5	periodic	periodic	ADJ
ejpam-4929	161	6	solutions	solution	NOUN
ejpam-4929	161	7	,	,	PUNCT
ejpam-4929	161	8	substituting	substitute	VERB
ejpam-4929	161	9	equations	equation	NOUN
ejpam-4929	161	10	(	(	PUNCT
ejpam-4929	161	11	7a	7a	NUM
ejpam-4929	161	12	)	)	PUNCT
ejpam-4929	161	13	,	,	PUNCT
ejpam-4929	161	14	(	(	PUNCT
ejpam-4929	161	15	7b	7b	NUM
ejpam-4929	161	16	)	)	PUNCT
ejpam-4929	161	17	and	and	CCONJ
ejpam-4929	161	18	(	(	PUNCT
ejpam-4929	161	19	12	12	NUM
ejpam-4929	161	20	)	)	PUNCT
ejpam-4929	161	21	into	into	ADP
ejpam-4929	161	22	equations	equation	NOUN
ejpam-4929	161	23	(	(	PUNCT
ejpam-4929	161	24	3a	3a	NUM
ejpam-4929	161	25	)	)	PUNCT
ejpam-4929	161	26	,	,	PUNCT
ejpam-4929	161	27	(	(	PUNCT
ejpam-4929	161	28	3b	3b	NUM
ejpam-4929	161	29	)	)	PUNCT
ejpam-4929	161	30	and	and	CCONJ
ejpam-4929	161	31	neglecting	neglect	VERB
ejpam-4929	161	32	terms	term	NOUN
ejpam-4929	161	33	of	of	ADP
ejpam-4929	161	34	o(ϵ	o(ϵ	PROPN
ejpam-4929	161	35	)	)	PUNCT
ejpam-4929	161	36	,	,	PUNCT
ejpam-4929	161	37	we	we	PRON
ejpam-4929	161	38	have	have	VERB
ejpam-4929	161	39	z	z	NOUN
ejpam-4929	161	40	=	=	SYM
ejpam-4929	161	41	1	1	NUM
ejpam-4929	161	42	2	2	NUM
ejpam-4929	161	43	a1e	a1e	ADP
ejpam-4929	161	44	i(ω1t0+ϕ1	i(ω1t0+ϕ1	PROPN
ejpam-4929	161	45	)	)	PUNCT
ejpam-4929	162	1	+	+	CCONJ
ejpam-4929	162	2	1	1	NUM
ejpam-4929	162	3	2	2	NUM
ejpam-4929	162	4	a1e	a1e	ADP
ejpam-4929	162	5	−i(ω1t0+ϕ1	−i(ω1t0+ϕ1	PROPN
ejpam-4929	162	6	)	)	PUNCT
ejpam-4929	162	7	(	(	PUNCT
ejpam-4929	162	8	19a	19a	NUM
ejpam-4929	162	9	)	)	PUNCT
ejpam-4929	163	1	y	y	NOUN
ejpam-4929	163	2	=	=	SYM
ejpam-4929	163	3	1	1	NUM
ejpam-4929	163	4	2	2	NUM
ejpam-4929	163	5	a2e	a2e	X
ejpam-4929	163	6	i(ω2t0+ϕ2	i(ω2t0+ϕ2	NOUN
ejpam-4929	163	7	)	)	PUNCT
ejpam-4929	163	8	)	)	PUNCT
ejpam-4929	164	1	+	+	CCONJ
ejpam-4929	164	2	1	1	NUM
ejpam-4929	164	3	2	2	NUM
ejpam-4929	164	4	a2e	a2e	X
ejpam-4929	164	5	−i(ω2t0+ϕ2	−i(ω2t0+ϕ2	NOUN
ejpam-4929	164	6	)	)	PUNCT
ejpam-4929	164	7	(	(	PUNCT
ejpam-4929	164	8	19b	19b	NOUN
ejpam-4929	164	9	)	)	PUNCT
ejpam-4929	164	10	a.	a.	NOUN
ejpam-4929	164	11	alsaadi	alsaadi	NOUN
ejpam-4929	164	12	,	,	PUNCT
ejpam-4929	164	13	y.	y.	PROPN
ejpam-4929	164	14	s.	s.	PROPN
ejpam-4929	164	15	hamed	hamed	PROPN
ejpam-4929	164	16	/	/	SYM
ejpam-4929	164	17	eur	eur	PROPN
ejpam-4929	164	18	.	.	PUNCT
ejpam-4929	165	1	j.	j.	PROPN
ejpam-4929	165	2	pure	pure	PROPN
ejpam-4929	165	3	appl	appl	PROPN
ejpam-4929	165	4	.	.	PROPN
ejpam-4929	165	5	math	math	PROPN
ejpam-4929	165	6	,	,	PUNCT
ejpam-4929	165	7	16	16	NUM
ejpam-4929	165	8	(	(	PUNCT
ejpam-4929	165	9	4	4	NUM
ejpam-4929	165	10	)	)	PUNCT
ejpam-4929	165	11	(	(	PUNCT
ejpam-4929	165	12	2023	2023	NUM
ejpam-4929	165	13	)	)	PUNCT
ejpam-4929	165	14	,	,	PUNCT
ejpam-4929	165	15	2703	2703	NUM
ejpam-4929	165	16	-	-	SYM
ejpam-4929	165	17	2728	2728	NUM
ejpam-4929	165	18	2711	2711	NUM
ejpam-4929	165	19	we	we	PRON
ejpam-4929	165	20	can	can	AUX
ejpam-4929	165	21	write	write	VERB
ejpam-4929	165	22	the	the	DET
ejpam-4929	165	23	first	first	ADJ
ejpam-4929	165	24	approximation	approximation	NOUN
ejpam-4929	165	25	periodic	periodic	ADJ
ejpam-4929	165	26	solution	solution	NOUN
ejpam-4929	165	27	in	in	ADP
ejpam-4929	165	28	the	the	DET
ejpam-4929	165	29	form	form	NOUN
ejpam-4929	165	30	:	:	PUNCT
ejpam-4929	165	31	z	z	NOUN
ejpam-4929	165	32	=	=	SYM
ejpam-4929	165	33	a1	a1	NOUN
ejpam-4929	165	34	cos(ω1t0	cos(ω1t0	ADJ
ejpam-4929	165	35	−	−	PROPN
ejpam-4929	165	36	θ1	θ1	NOUN
ejpam-4929	165	37	)	)	PUNCT
ejpam-4929	165	38	(	(	PUNCT
ejpam-4929	165	39	20a	20a	NOUN
ejpam-4929	165	40	)	)	PUNCT
ejpam-4929	165	41	y	y	PROPN
ejpam-4929	165	42	=	=	PROPN
ejpam-4929	165	43	a2	a2	PROPN
ejpam-4929	165	44	cos(ω1t0	cos(ω1t0	PUNCT
ejpam-4929	166	1	+	+	CCONJ
ejpam-4929	166	2	θ2	θ2	PROPN
ejpam-4929	166	3	−	−	NOUN
ejpam-4929	166	4	θ1	θ1	NOUN
ejpam-4929	166	5	)	)	PUNCT
ejpam-4929	166	6	(	(	PUNCT
ejpam-4929	166	7	20b	20b	NOUN
ejpam-4929	166	8	)	)	PUNCT
ejpam-4929	166	9	where	where	SCONJ
ejpam-4929	166	10	a1	a1	NOUN
ejpam-4929	166	11	,	,	PUNCT
ejpam-4929	166	12	a2	a2	PROPN
ejpam-4929	166	13	,	,	PUNCT
ejpam-4929	166	14	θ1	θ1	NOUN
ejpam-4929	166	15	and	and	CCONJ
ejpam-4929	166	16	θ2	θ2	PROPN
ejpam-4929	166	17	are	be	AUX
ejpam-4929	166	18	the	the	DET
ejpam-4929	166	19	solutions	solution	NOUN
ejpam-4929	166	20	of	of	ADP
ejpam-4929	166	21	the	the	DET
ejpam-4929	166	22	equations	equation	NOUN
ejpam-4929	166	23	(	(	PUNCT
ejpam-4929	166	24	17	17	NUM
ejpam-4929	166	25	)	)	PUNCT
ejpam-4929	166	26	and	and	CCONJ
ejpam-4929	166	27	(	(	PUNCT
ejpam-4929	166	28	18	18	NUM
ejpam-4929	166	29	)	)	PUNCT
ejpam-4929	166	30	at	at	ADP
ejpam-4929	166	31	the	the	DET
ejpam-4929	166	32	steady	steady	ADJ
ejpam-4929	166	33	state	state	NOUN
ejpam-4929	166	34	.	.	PUNCT
ejpam-4929	167	1	4	4	X
ejpam-4929	167	2	.	.	X
ejpam-4929	167	3	stability	stability	NOUN
ejpam-4929	167	4	investigations	investigation	NOUN
ejpam-4929	167	5	to	to	PART
ejpam-4929	167	6	get	get	VERB
ejpam-4929	167	7	vibration	vibration	NOUN
ejpam-4929	167	8	amplitudes	amplitude	NOUN
ejpam-4929	167	9	of	of	ADP
ejpam-4929	167	10	the	the	DET
ejpam-4929	167	11	steady	steady	ADJ
ejpam-4929	167	12	state	state	NOUN
ejpam-4929	167	13	,	,	PUNCT
ejpam-4929	167	14	we	we	PRON
ejpam-4929	167	15	set	set	VERB
ejpam-4929	167	16	ȧ1	ȧ1	PROPN
ejpam-4929	167	17	=	=	SYM
ejpam-4929	167	18	ȧ2	ȧ2	PROPN
ejpam-4929	167	19	=	=	SYM
ejpam-4929	167	20	θ̇1	θ̇1	PROPN
ejpam-4929	167	21	=	=	SYM
ejpam-4929	167	22	θ̇2	θ̇2	PROPN
ejpam-4929	167	23	=	=	SYM
ejpam-4929	167	24	0	0	PROPN
ejpam-4929	167	25	,	,	PUNCT
ejpam-4929	167	26	into	into	ADP
ejpam-4929	167	27	equations	equation	NOUN
ejpam-4929	167	28	(	(	PUNCT
ejpam-4929	167	29	17a	17a	X
ejpam-4929	167	30	)	)	PUNCT
ejpam-4929	167	31	-(18b	-(18b	PROPN
ejpam-4929	167	32	)	)	PUNCT
ejpam-4929	167	33	,	,	PUNCT
ejpam-4929	167	34	we	we	PRON
ejpam-4929	167	35	get	get	VERB
ejpam-4929	167	36	:	:	PUNCT
ejpam-4929	167	37	µ1a1	µ1a1	SYM
ejpam-4929	167	38	2	2	NUM
ejpam-4929	167	39	=	=	SYM
ejpam-4929	167	40	β1a2	β1a2	NOUN
ejpam-4929	167	41	2ω1	2ω1	NUM
ejpam-4929	167	42	sin	sin	NOUN
ejpam-4929	167	43	θ2	θ2	ADP
ejpam-4929	167	44	+	+	CCONJ
ejpam-4929	167	45	fa	fa	PROPN
ejpam-4929	167	46	2ω1	2ω1	NUM
ejpam-4929	167	47	cos	cos	PROPN
ejpam-4929	167	48	θ1	θ1	NOUN
ejpam-4929	167	49	(	(	PUNCT
ejpam-4929	167	50	21a	21a	NUM
ejpam-4929	167	51	)	)	PUNCT
ejpam-4929	167	52	a1σ1	a1σ1	X
ejpam-4929	167	53	=	=	SYM
ejpam-4929	168	1	−β1a2	−β1a2	VERB
ejpam-4929	168	2	2ω1	2ω1	NUM
ejpam-4929	168	3	cos	cos	PROPN
ejpam-4929	168	4	θ2	θ2	PROPN
ejpam-4929	168	5	+	+	CCONJ
ejpam-4929	168	6	fa	fa	PROPN
ejpam-4929	168	7	2ω1	2ω1	NUM
ejpam-4929	168	8	sin	sin	NOUN
ejpam-4929	168	9	θ1	θ1	NOUN
ejpam-4929	168	10	(	(	PUNCT
ejpam-4929	168	11	21b	21b	NOUN
ejpam-4929	168	12	)	)	PUNCT
ejpam-4929	168	13	µ2a2	µ2a2	X
ejpam-4929	168	14	2	2	NUM
ejpam-4929	168	15	=	=	SYM
ejpam-4929	168	16	−β2a1	−β2a1	ADJ
ejpam-4929	168	17	2ω2	2ω2	NUM
ejpam-4929	168	18	sin	sin	NOUN
ejpam-4929	168	19	θ2	θ2	PROPN
ejpam-4929	168	20	(	(	PUNCT
ejpam-4929	168	21	22a	22a	NOUN
ejpam-4929	168	22	)	)	PUNCT
ejpam-4929	168	23	a2(σ2	a2(σ2	ADJ
ejpam-4929	168	24	−	−	PROPN
ejpam-4929	168	25	σ1	σ1	PROPN
ejpam-4929	168	26	)	)	PUNCT
ejpam-4929	168	27	=	=	SYM
ejpam-4929	168	28	β2a1	β2a1	PUNCT
ejpam-4929	168	29	2ω2	2ω2	NUM
ejpam-4929	168	30	cos	cos	PROPN
ejpam-4929	168	31	θ2	θ2	PROPN
ejpam-4929	168	32	.	.	PUNCT
ejpam-4929	169	1	(	(	PUNCT
ejpam-4929	169	2	22b	22b	NOUN
ejpam-4929	169	3	)	)	PUNCT
ejpam-4929	169	4	eliminating	eliminate	VERB
ejpam-4929	169	5	θ1	θ1	NOUN
ejpam-4929	169	6	and	and	CCONJ
ejpam-4929	169	7	θ2	θ2	PROPN
ejpam-4929	169	8	from	from	ADP
ejpam-4929	169	9	equations	equation	NOUN
ejpam-4929	169	10	(	(	PUNCT
ejpam-4929	169	11	21	21	NUM
ejpam-4929	169	12	)	)	PUNCT
ejpam-4929	169	13	and	and	CCONJ
ejpam-4929	169	14	(	(	PUNCT
ejpam-4929	169	15	22	22	NUM
ejpam-4929	169	16	)	)	PUNCT
ejpam-4929	169	17	leads	lead	VERB
ejpam-4929	169	18	to	to	ADP
ejpam-4929	169	19	:	:	PUNCT
ejpam-4929	169	20	a1	a1	NOUN
ejpam-4929	169	21	2	2	NUM
ejpam-4929	169	22	=	=	SYM
ejpam-4929	169	23	ω2	ω2	ADJ
ejpam-4929	169	24	2	2	NUM
ejpam-4929	169	25	β2	β2	NOUN
ejpam-4929	169	26	2	2	NUM
ejpam-4929	169	27	(	(	PUNCT
ejpam-4929	169	28	µ2	µ2	PROPN
ejpam-4929	169	29	2	2	NUM
ejpam-4929	169	30	+	+	CCONJ
ejpam-4929	169	31	4(σ2	4(σ2	NUM
ejpam-4929	169	32	−	−	PROPN
ejpam-4929	169	33	σ1	σ1	PROPN
ejpam-4929	169	34	)	)	PUNCT
ejpam-4929	169	35	2)a2	2)a2	NUM
ejpam-4929	169	36	2	2	NUM
ejpam-4929	169	37	.	.	PUNCT
ejpam-4929	170	1	(	(	PUNCT
ejpam-4929	170	2	23	23	NUM
ejpam-4929	170	3	)	)	PUNCT
ejpam-4929	170	4	f2	f2	VERB
ejpam-4929	170	5	a	a	DET
ejpam-4929	170	6	4ω2	4ω2	NUM
ejpam-4929	170	7	1	1	NUM
ejpam-4929	170	8	=	=	SYM
ejpam-4929	170	9	(	(	PUNCT
ejpam-4929	170	10	µ1a1	µ1a1	X
ejpam-4929	170	11	2	2	NUM
ejpam-4929	170	12	+	+	NUM
ejpam-4929	170	13	β1a	β1a	X
ejpam-4929	170	14	2	2	NUM
ejpam-4929	170	15	2µ2ω2	2µ2ω2	NUM
ejpam-4929	170	16	2β2a1ω1	2β2a1ω1	NUM
ejpam-4929	170	17	)	)	PUNCT
ejpam-4929	170	18	2	2	NUM
ejpam-4929	170	19	+	+	CCONJ
ejpam-4929	170	20	(	(	PUNCT
ejpam-4929	170	21	σ1a1	σ1a1	X
ejpam-4929	170	22	+	+	CCONJ
ejpam-4929	170	23	β1a2	β1a2	X
ejpam-4929	170	24	)	)	PUNCT
ejpam-4929	170	25	2ω2	2ω2	NUM
ejpam-4929	170	26	β2a1ω1	β2a1ω1	ADJ
ejpam-4929	170	27	(	(	PUNCT
ejpam-4929	170	28	σ2	σ2	PROPN
ejpam-4929	170	29	−	−	PROPN
ejpam-4929	170	30	σ1	σ1	PROPN
ejpam-4929	170	31	)	)	PUNCT
ejpam-4929	170	32	)	)	PUNCT
ejpam-4929	170	33	2	2	X
ejpam-4929	170	34	.	.	PUNCT
ejpam-4929	171	1	(	(	PUNCT
ejpam-4929	171	2	24	24	NUM
ejpam-4929	171	3	)	)	PUNCT
ejpam-4929	171	4	equations	equation	NOUN
ejpam-4929	171	5	(	(	PUNCT
ejpam-4929	171	6	23	23	NUM
ejpam-4929	171	7	)	)	PUNCT
ejpam-4929	171	8	and	and	CCONJ
ejpam-4929	171	9	(	(	PUNCT
ejpam-4929	171	10	24	24	NUM
ejpam-4929	171	11	)	)	PUNCT
ejpam-4929	171	12	are	be	AUX
ejpam-4929	171	13	the	the	DET
ejpam-4929	171	14	frequency	frequency	NOUN
ejpam-4929	171	15	-	-	PUNCT
ejpam-4929	171	16	response	response	NOUN
ejpam-4929	171	17	equations	equation	NOUN
ejpam-4929	171	18	for	for	ADP
ejpam-4929	171	19	the	the	DET
ejpam-4929	171	20	system	system	NOUN
ejpam-4929	171	21	steady	steady	ADJ
ejpam-4929	171	22	-	-	PUNCT
ejpam-4929	171	23	state	state	NOUN
ejpam-4929	171	24	behavior	behavior	NOUN
ejpam-4929	171	25	at	at	ADP
ejpam-4929	171	26	the	the	DET
ejpam-4929	171	27	practical	practical	ADJ
ejpam-4929	171	28	case	case	NOUN
ejpam-4929	171	29	(	(	PUNCT
ejpam-4929	171	30	a1	a1	NOUN
ejpam-4929	171	31	,	,	PUNCT
ejpam-4929	171	32	a2	a2	PROPN
ejpam-4929	171	33	̸=	̸=	PROPN
ejpam-4929	171	34	0	0	NUM
ejpam-4929	171	35	)	)	PUNCT
ejpam-4929	171	36	.	.	PUNCT
ejpam-4929	172	1	by	by	ADP
ejpam-4929	172	2	computationally	computationally	ADV
ejpam-4929	172	3	resolving	resolve	VERB
ejpam-4929	172	4	the	the	DET
ejpam-4929	172	5	above	above	ADJ
ejpam-4929	172	6	algebraic	algebraic	ADJ
ejpam-4929	172	7	problem	problem	NOUN
ejpam-4929	172	8	using	use	VERB
ejpam-4929	172	9	the	the	DET
ejpam-4929	172	10	newton	newton	PROPN
ejpam-4929	172	11	-	-	PUNCT
ejpam-4929	172	12	raphson	raphson	NOUN
ejpam-4929	172	13	technique	technique	NOUN
ejpam-4929	172	14	,	,	PUNCT
ejpam-4929	172	15	we	we	PRON
ejpam-4929	172	16	can	can	AUX
ejpam-4929	172	17	get	get	VERB
ejpam-4929	172	18	the	the	DET
ejpam-4929	172	19	steady	steady	ADJ
ejpam-4929	172	20	state	state	NOUN
ejpam-4929	172	21	solution	solution	NOUN
ejpam-4929	172	22	of	of	ADP
ejpam-4929	172	23	equations	equation	NOUN
ejpam-4929	172	24	(	(	PUNCT
ejpam-4929	172	25	2a	2a	NUM
ejpam-4929	172	26	)	)	PUNCT
ejpam-4929	172	27	and	and	CCONJ
ejpam-4929	172	28	(	(	PUNCT
ejpam-4929	172	29	2b	2b	NUM
ejpam-4929	172	30	)	)	PUNCT
ejpam-4929	172	31	.	.	PUNCT
ejpam-4929	173	1	using	use	VERB
ejpam-4929	173	2	lyapunov	lyapunov	NOUN
ejpam-4929	173	3	’s	’s	PART
ejpam-4929	173	4	direct	direct	ADJ
ejpam-4929	173	5	method	method	NOUN
ejpam-4929	173	6	[	[	X
ejpam-4929	173	7	15	15	NUM
ejpam-4929	173	8	]	]	PUNCT
ejpam-4929	173	9	,	,	PUNCT
ejpam-4929	173	10	the	the	DET
ejpam-4929	173	11	solution	solution	NOUN
ejpam-4929	173	12	stability	stability	NOUN
ejpam-4929	173	13	is	be	AUX
ejpam-4929	173	14	evaluated	evaluate	VERB
ejpam-4929	173	15	.	.	PUNCT
ejpam-4929	174	1	assume	assume	VERB
ejpam-4929	174	2	the	the	DET
ejpam-4929	174	3	following	follow	VERB
ejpam-4929	174	4	equation	equation	NOUN
ejpam-4929	174	5	:	:	PUNCT
ejpam-4929	174	6	an	an	DET
ejpam-4929	174	7	=	=	PUNCT
ejpam-4929	174	8	an0	an0	PROPN
ejpam-4929	174	9	+	+	CCONJ
ejpam-4929	174	10	an1	an1	PROPN
ejpam-4929	174	11	and	and	CCONJ
ejpam-4929	174	12	θn	θn	X
ejpam-4929	174	13	=	=	PROPN
ejpam-4929	175	1	θn0	θn0	NOUN
ejpam-4929	175	2	+	+	NOUN
ejpam-4929	175	3	θn1(n	θn1(n	PROPN
ejpam-4929	175	4	=	=	SYM
ejpam-4929	175	5	1	1	NUM
ejpam-4929	175	6	,	,	PUNCT
ejpam-4929	175	7	2	2	NUM
ejpam-4929	175	8	)	)	PUNCT
ejpam-4929	175	9	.	.	PUNCT
ejpam-4929	176	1	(	(	PUNCT
ejpam-4929	176	2	25	25	NUM
ejpam-4929	176	3	)	)	PUNCT
ejpam-4929	176	4	where	where	SCONJ
ejpam-4929	176	5	an0	an0	PROPN
ejpam-4929	176	6	and	and	CCONJ
ejpam-4929	176	7	an1	an1	PROPN
ejpam-4929	176	8	are	be	AUX
ejpam-4929	176	9	perturbative	perturbative	ADJ
ejpam-4929	176	10	and	and	CCONJ
ejpam-4929	176	11	steady	steady	ADJ
ejpam-4929	176	12	-	-	PUNCT
ejpam-4929	176	13	state	state	NOUN
ejpam-4929	176	14	amplitudes	amplitude	NOUN
ejpam-4929	176	15	.	.	PUNCT
ejpam-4929	177	1	similarly	similarly	ADV
ejpam-4929	177	2	,	,	PUNCT
ejpam-4929	177	3	θn0	θn0	NOUN
ejpam-4929	177	4	and	and	CCONJ
ejpam-4929	177	5	θn1	θn1	NOUN
ejpam-4929	177	6	are	be	AUX
ejpam-4929	177	7	perturbative	perturbative	ADJ
ejpam-4929	177	8	phases	phase	NOUN
ejpam-4929	177	9	and	and	CCONJ
ejpam-4929	177	10	steady	steady	ADJ
ejpam-4929	177	11	-	-	PUNCT
ejpam-4929	177	12	state	state	NOUN
ejpam-4929	177	13	phases	phase	NOUN
ejpam-4929	177	14	.	.	PUNCT
ejpam-4929	178	1	inserting	insert	VERB
ejpam-4929	178	2	equation	equation	NOUN
ejpam-4929	178	3	(	(	PUNCT
ejpam-4929	178	4	25	25	NUM
ejpam-4929	178	5	)	)	PUNCT
ejpam-4929	178	6	into	into	ADP
ejpam-4929	178	7	equations	equation	NOUN
ejpam-4929	178	8	(	(	PUNCT
ejpam-4929	178	9	17	17	NUM
ejpam-4929	178	10	-	-	SYM
ejpam-4929	178	11	18	18	NUM
ejpam-4929	178	12	)	)	PUNCT
ejpam-4929	178	13	and	and	CCONJ
ejpam-4929	178	14	linearizing	linearize	VERB
ejpam-4929	178	15	give	give	VERB
ejpam-4929	178	16	us	us	ADP
ejpam-4929	178	17	ȧ11	ȧ11	ADJ
ejpam-4929	178	18	θ̇11	θ̇11	VERB
ejpam-4929	178	19	ȧ21	ȧ21	ADJ
ejpam-4929	178	20	θ̇21	θ̇21	NOUN
ejpam-4929	178	21	=j	=j	PROPN
ejpam-4929	178	22			PROPN
ejpam-4929	178	23	a11	a11	PROPN
ejpam-4929	178	24	θ11	θ11	PROPN
ejpam-4929	178	25	a21	a21	PROPN
ejpam-4929	178	26	θ21	θ21	PROPN
ejpam-4929	178	27	=	=	PROPN
ejpam-4929	178	28			PROPN
ejpam-4929	178	29	r11	r11	NOUN
ejpam-4929	178	30	r12	r12	PROPN
ejpam-4929	178	31	r13	r13	NOUN
ejpam-4929	178	32	r14	r14	NOUN
ejpam-4929	178	33	r21	r21	NOUN
ejpam-4929	178	34	r22	r22	NOUN
ejpam-4929	178	35	r23	r23	NOUN
ejpam-4929	178	36	r24	r24	PROPN
ejpam-4929	178	37	r31	r31	PROPN
ejpam-4929	178	38	r41	r41	PROPN
ejpam-4929	178	39	r32	r32	PROPN
ejpam-4929	178	40	r42	r42	PROPN
ejpam-4929	178	41	r33	r33	PROPN
ejpam-4929	178	42	r43	r43	NOUN
ejpam-4929	178	43	r34	r34	NOUN
ejpam-4929	178	44	r44	r44	NOUN
ejpam-4929	178	45			NOUN
ejpam-4929	178	46			PROPN
ejpam-4929	178	47	a11	a11	PROPN
ejpam-4929	178	48	θ11	θ11	PROPN
ejpam-4929	178	49	a21	a21	PROPN
ejpam-4929	178	50	θ21	θ21	PROPN
ejpam-4929	178	51			PROPN
ejpam-4929	178	52	a.	a.	NOUN
ejpam-4929	178	53	alsaadi	alsaadi	NOUN
ejpam-4929	178	54	,	,	PUNCT
ejpam-4929	178	55	y.	y.	PROPN
ejpam-4929	178	56	s.	s.	PROPN
ejpam-4929	178	57	hamed	hamed	PROPN
ejpam-4929	178	58	/	/	SYM
ejpam-4929	178	59	eur	eur	PROPN
ejpam-4929	178	60	.	.	PUNCT
ejpam-4929	179	1	j.	j.	PROPN
ejpam-4929	179	2	pure	pure	PROPN
ejpam-4929	179	3	appl	appl	PROPN
ejpam-4929	179	4	.	.	PROPN
ejpam-4929	179	5	math	math	PROPN
ejpam-4929	179	6	,	,	PUNCT
ejpam-4929	179	7	16	16	NUM
ejpam-4929	179	8	(	(	PUNCT
ejpam-4929	179	9	4	4	NUM
ejpam-4929	179	10	)	)	PUNCT
ejpam-4929	179	11	(	(	PUNCT
ejpam-4929	179	12	2023	2023	NUM
ejpam-4929	179	13	)	)	PUNCT
ejpam-4929	179	14	,	,	PUNCT
ejpam-4929	179	15	2703	2703	NUM
ejpam-4929	179	16	-	-	SYM
ejpam-4929	179	17	2728	2728	NUM
ejpam-4929	179	18	2712	2712	NUM
ejpam-4929	179	19	where	where	SCONJ
ejpam-4929	179	20	j	j	PROPN
ejpam-4929	179	21	is	be	AUX
ejpam-4929	179	22	the	the	DET
ejpam-4929	179	23	jacobian	jacobian	ADJ
ejpam-4929	179	24	matrix	matrix	NOUN
ejpam-4929	179	25	,	,	PUNCT
ejpam-4929	179	26	and	and	CCONJ
ejpam-4929	179	27	its	its	PRON
ejpam-4929	179	28	constituent	constituent	ADJ
ejpam-4929	179	29	parts	part	NOUN
ejpam-4929	179	30	are	be	AUX
ejpam-4929	179	31	listed	list	VERB
ejpam-4929	179	32	in	in	ADP
ejpam-4929	179	33	the	the	DET
ejpam-4929	179	34	appendix	appendix	NOUN
ejpam-4929	179	35	.	.	PUNCT
ejpam-4929	180	1	j	j	PROPN
ejpam-4929	180	2	is	be	AUX
ejpam-4929	180	3	defining	define	VERB
ejpam-4929	180	4	equation	equation	NOUN
ejpam-4929	180	5	of	of	ADP
ejpam-4929	180	6	a	a	DET
ejpam-4929	180	7	fourth	fourth	ADJ
ejpam-4929	180	8	-	-	PUNCT
ejpam-4929	180	9	degree	degree	NOUN
ejpam-4929	180	10	equation	equation	NOUN
ejpam-4929	180	11	in	in	ADP
ejpam-4929	180	12	the	the	DET
ejpam-4929	180	13	following	follow	VERB
ejpam-4929	180	14	form	form	NOUN
ejpam-4929	180	15	.	.	PUNCT
ejpam-4929	181	1	λ4+r1λ	λ4+r1λ	X
ejpam-4929	182	1	3+r2λ	3+r2λ	NUM
ejpam-4929	182	2	2+r3λ+r4=	2+r3λ+r4=	NUM
ejpam-4929	182	3	0	0	NUM
ejpam-4929	183	1	(	(	PUNCT
ejpam-4929	183	2	26	26	NUM
ejpam-4929	183	3	)	)	PUNCT
ejpam-4929	183	4	where	where	SCONJ
ejpam-4929	183	5	ri	ri	PROPN
ejpam-4929	183	6	(	(	PUNCT
ejpam-4929	183	7	i=	i=	PROPN
ejpam-4929	183	8	1	1	NUM
ejpam-4929	183	9	,	,	PUNCT
ejpam-4929	183	10	·	·	PUNCT
ejpam-4929	183	11	·	·	PUNCT
ejpam-4929	183	12	·	·	PUNCT
ejpam-4929	183	13	,	,	PUNCT
ejpam-4929	183	14	4	4	NUM
ejpam-4929	183	15	)	)	PUNCT
ejpam-4929	183	16	are	be	AUX
ejpam-4929	183	17	listed	list	VERB
ejpam-4929	183	18	in	in	ADP
ejpam-4929	183	19	the	the	DET
ejpam-4929	183	20	appendix	appendix	NOUN
ejpam-4929	183	21	.	.	PUNCT
ejpam-4929	184	1	the	the	DET
ejpam-4929	184	2	roots	root	NOUN
ejpam-4929	184	3	of	of	ADP
ejpam-4929	184	4	equation	equation	NOUN
ejpam-4929	184	5	(	(	PUNCT
ejpam-4929	184	6	26	26	NUM
ejpam-4929	184	7	)	)	PUNCT
ejpam-4929	184	8	are	be	AUX
ejpam-4929	184	9	the	the	DET
ejpam-4929	184	10	eigenvalues	eigenvalue	NOUN
ejpam-4929	184	11	of	of	ADP
ejpam-4929	184	12	j	j	PROPN
ejpam-4929	184	13	and	and	CCONJ
ejpam-4929	184	14	they	they	PRON
ejpam-4929	184	15	determine	determine	VERB
ejpam-4929	184	16	whether	whether	SCONJ
ejpam-4929	184	17	the	the	DET
ejpam-4929	184	18	system	system	NOUN
ejpam-4929	184	19	solutions	solution	NOUN
ejpam-4929	184	20	are	be	AUX
ejpam-4929	184	21	stable	stable	ADJ
ejpam-4929	184	22	or	or	CCONJ
ejpam-4929	184	23	not	not	PART
ejpam-4929	184	24	.	.	PUNCT
ejpam-4929	185	1	the	the	DET
ejpam-4929	185	2	system	system	NOUN
ejpam-4929	185	3	’s	’s	PART
ejpam-4929	185	4	periodic	periodic	ADJ
ejpam-4929	185	5	solution	solution	NOUN
ejpam-4929	185	6	is	be	AUX
ejpam-4929	185	7	unstable	unstable	ADJ
ejpam-4929	185	8	if	if	SCONJ
ejpam-4929	185	9	the	the	DET
ejpam-4929	185	10	real	real	ADJ
ejpam-4929	185	11	part	part	NOUN
ejpam-4929	185	12	of	of	ADP
ejpam-4929	185	13	the	the	DET
ejpam-4929	185	14	eigenvalue	eigenvalue	NOUN
ejpam-4929	185	15	is	be	AUX
ejpam-4929	185	16	positive	positive	ADJ
ejpam-4929	185	17	;	;	PUNCT
ejpam-4929	185	18	if	if	SCONJ
ejpam-4929	185	19	not	not	PART
ejpam-4929	185	20	,	,	PUNCT
ejpam-4929	185	21	the	the	DET
ejpam-4929	185	22	system	system	NOUN
ejpam-4929	185	23	becomes	become	VERB
ejpam-4929	185	24	stable	stable	ADJ
ejpam-4929	185	25	.	.	PUNCT
ejpam-4929	186	1	the	the	DET
ejpam-4929	186	2	routh	routh	PROPN
ejpam-4929	186	3	-	-	PUNCT
ejpam-4929	186	4	huriwitz	huriwitz	NOUN
ejpam-4929	186	5	criterion	criterion	NOUN
ejpam-4929	186	6	demonstrates	demonstrate	VERB
ejpam-4929	186	7	that	that	SCONJ
ejpam-4929	186	8	the	the	DET
ejpam-4929	186	9	roots	root	NOUN
ejpam-4929	186	10	of	of	ADP
ejpam-4929	186	11	equation	equation	NOUN
ejpam-4929	186	12	(	(	PUNCT
ejpam-4929	186	13	26	26	NUM
ejpam-4929	186	14	)	)	PUNCT
ejpam-4929	186	15	had	have	VERB
ejpam-4929	186	16	negative	negative	ADJ
ejpam-4929	186	17	real	real	ADJ
ejpam-4929	186	18	parts	part	NOUN
ejpam-4929	186	19	,	,	PUNCT
ejpam-4929	186	20	if	if	SCONJ
ejpam-4929	186	21	and	and	CCONJ
ejpam-4929	186	22	only	only	ADV
ejpam-4929	186	23	if	if	SCONJ
ejpam-4929	186	24	the	the	DET
ejpam-4929	186	25	following	follow	VERB
ejpam-4929	186	26	equation	equation	NOUN
ejpam-4929	186	27	holds	hold	VERB
ejpam-4929	186	28	true	true	ADJ
ejpam-4929	186	29	:	:	PUNCT
ejpam-4929	186	30	r1	r1	PROPN
ejpam-4929	186	31	>	>	X
ejpam-4929	186	32	0	0	PROPN
ejpam-4929	186	33	,	,	PUNCT
ejpam-4929	186	34	r1r2−r3	r1r2−r3	NOUN
ejpam-4929	186	35	>	>	X
ejpam-4929	186	36	0	0	PROPN
ejpam-4929	186	37	,	,	PUNCT
ejpam-4929	186	38	r3	r3	PROPN
ejpam-4929	186	39	(	(	PUNCT
ejpam-4929	186	40	r1r2−r3)−r2	r1r2−r3)−r2	PROPN
ejpam-4929	186	41	1r4	1r4	NUM
ejpam-4929	186	42	>	>	X
ejpam-4929	186	43	0	0	PROPN
ejpam-4929	186	44	,	,	PUNCT
ejpam-4929	186	45	r4	r4	VERB
ejpam-4929	186	46	>	>	X
ejpam-4929	186	47	0	0	PUNCT
ejpam-4929	187	1	(	(	PUNCT
ejpam-4929	187	2	27	27	NUM
ejpam-4929	187	3	)	)	PUNCT
ejpam-4929	187	4	5	5	NUM
ejpam-4929	187	5	.	.	PUNCT
ejpam-4929	187	6	discussion	discussion	NOUN
ejpam-4929	187	7	on	on	ADP
ejpam-4929	187	8	the	the	DET
ejpam-4929	187	9	primary	primary	ADJ
ejpam-4929	187	10	and	and	CCONJ
ejpam-4929	187	11	internal	internal	ADJ
ejpam-4929	187	12	resonance	resonance	NOUN
ejpam-4929	187	13	curves	curve	NOUN
ejpam-4929	187	14	as	as	SCONJ
ejpam-4929	187	15	it	it	PRON
ejpam-4929	187	16	has	have	AUX
ejpam-4929	187	17	been	be	AUX
ejpam-4929	187	18	concluded	conclude	VERB
ejpam-4929	187	19	in	in	ADP
ejpam-4929	187	20	equations	equation	NOUN
ejpam-4929	187	21	(	(	PUNCT
ejpam-4929	187	22	23	23	NUM
ejpam-4929	187	23	)	)	PUNCT
ejpam-4929	187	24	and	and	CCONJ
ejpam-4929	187	25	(	(	PUNCT
ejpam-4929	187	26	24	24	NUM
ejpam-4929	187	27	)	)	PUNCT
ejpam-4929	187	28	that	that	SCONJ
ejpam-4929	187	29	there	there	ADV
ejpam-4929	187	30	two	two	NUM
ejpam-4929	187	31	cases	case	NOUN
ejpam-4929	187	32	:	:	PUNCT
ejpam-4929	187	33	1	1	X
ejpam-4929	187	34	.	.	PUNCT
ejpam-4929	188	1	(	(	PUNCT
ejpam-4929	188	2	a1	a1	PROPN
ejpam-4929	188	3	,	,	PUNCT
ejpam-4929	188	4	a2	a2	PROPN
ejpam-4929	188	5	̸=	̸=	PROPN
ejpam-4929	188	6	0	0	NUM
ejpam-4929	188	7	)	)	PUNCT
ejpam-4929	188	8	where	where	SCONJ
ejpam-4929	188	9	the	the	DET
ejpam-4929	188	10	controller	controller	NOUN
ejpam-4929	188	11	is	be	AUX
ejpam-4929	188	12	active	active	ADJ
ejpam-4929	188	13	.	.	PUNCT
ejpam-4929	189	1	2	2	X
ejpam-4929	189	2	.	.	PUNCT
ejpam-4929	190	1	(	(	PUNCT
ejpam-4929	190	2	a1	a1	NOUN
ejpam-4929	190	3	,	,	PUNCT
ejpam-4929	190	4	a2	a2	PROPN
ejpam-4929	190	5	=	=	SYM
ejpam-4929	190	6	0	0	NUM
ejpam-4929	190	7	)	)	PUNCT
ejpam-4929	190	8	where	where	SCONJ
ejpam-4929	190	9	the	the	DET
ejpam-4929	190	10	controller	controller	NOUN
ejpam-4929	190	11	is	be	AUX
ejpam-4929	190	12	inactive	inactive	ADJ
ejpam-4929	190	13	.	.	PUNCT
ejpam-4929	191	1	the	the	DET
ejpam-4929	191	2	system	system	NOUN
ejpam-4929	191	3	parameters	parameter	NOUN
ejpam-4929	191	4	are	be	AUX
ejpam-4929	191	5	given	give	VERB
ejpam-4929	191	6	by	by	ADP
ejpam-4929	191	7	µ1	µ1	PROPN
ejpam-4929	191	8	=	=	SYM
ejpam-4929	191	9	0.04	0.04	NUM
ejpam-4929	191	10	,	,	PUNCT
ejpam-4929	191	11	µ2	µ2	PROPN
ejpam-4929	191	12	=	=	PROPN
ejpam-4929	191	13	0.02	0.02	NUM
ejpam-4929	191	14	,	,	PUNCT
ejpam-4929	191	15	β1	β1	PROPN
ejpam-4929	191	16	=	=	SYM
ejpam-4929	191	17	5	5	NUM
ejpam-4929	191	18	,	,	PUNCT
ejpam-4929	191	19	β2	β2	NOUN
ejpam-4929	191	20	=	=	NOUN
ejpam-4929	191	21	0.5	0.5	NUM
ejpam-4929	191	22	,	,	PUNCT
ejpam-4929	191	23	α	α	NOUN
ejpam-4929	191	24	=	=	SYM
ejpam-4929	191	25	9.73,ω1	9.73,ω1	NOUN
ejpam-4929	191	26	=	=	SYM
ejpam-4929	191	27	1.26	1.26	NUM
ejpam-4929	191	28	,	,	PUNCT
ejpam-4929	191	29	ω1	ω1	PROPN
ejpam-4929	191	30	=	=	PUNCT
ejpam-4929	191	31	1.26	1.26	NUM
ejpam-4929	191	32	,	,	PUNCT
ejpam-4929	191	33	ω2	ω2	NOUN
ejpam-4929	191	34	=	=	SYM
ejpam-4929	191	35	1.26	1.26	NUM
ejpam-4929	191	36	,	,	PUNCT
ejpam-4929	191	37	fa	fa	PROPN
ejpam-4929	191	38	=	=	SYM
ejpam-4929	191	39	67.17	67.17	NUM
ejpam-4929	191	40	,	,	PUNCT
ejpam-4929	191	41	fh	fh	PROPN
ejpam-4929	191	42	=	=	PUNCT
ejpam-4929	191	43	5.129	5.129	NUM
ejpam-4929	191	44	.	.	PUNCT
ejpam-4929	192	1	5.1	5.1	NUM
ejpam-4929	192	2	.	.	PUNCT
ejpam-4929	192	3	effect	effect	NOUN
ejpam-4929	192	4	of	of	ADP
ejpam-4929	192	5	some	some	DET
ejpam-4929	192	6	important	important	ADJ
ejpam-4929	192	7	different	different	ADJ
ejpam-4929	192	8	parameters	parameter	NOUN
ejpam-4929	192	9	on	on	ADP
ejpam-4929	192	10	the	the	DET
ejpam-4929	192	11	wind	wind	NOUN
ejpam-4929	192	12	tower	tower	NOUN
ejpam-4929	192	13	system	system	NOUN
ejpam-4929	192	14	before	before	ADP
ejpam-4929	192	15	control	control	NOUN
ejpam-4929	192	16	in	in	ADP
ejpam-4929	192	17	this	this	DET
ejpam-4929	192	18	part	part	NOUN
ejpam-4929	192	19	,	,	PUNCT
ejpam-4929	192	20	we	we	PRON
ejpam-4929	192	21	looked	look	VERB
ejpam-4929	192	22	at	at	ADP
ejpam-4929	192	23	how	how	SCONJ
ejpam-4929	192	24	various	various	ADJ
ejpam-4929	192	25	parameters	parameter	NOUN
ejpam-4929	192	26	affected	affect	VERB
ejpam-4929	192	27	the	the	DET
ejpam-4929	192	28	behavior	behavior	NOUN
ejpam-4929	192	29	of	of	ADP
ejpam-4929	192	30	the	the	DET
ejpam-4929	192	31	wind	wind	NOUN
ejpam-4929	192	32	tower	tower	NOUN
ejpam-4929	192	33	system	system	NOUN
ejpam-4929	192	34	before	before	ADP
ejpam-4929	192	35	control	control	NOUN
ejpam-4929	192	36	.	.	PUNCT
ejpam-4929	193	1	the	the	DET
ejpam-4929	193	2	system	system	NOUN
ejpam-4929	193	3	behavior	behavior	NOUN
ejpam-4929	193	4	is	be	AUX
ejpam-4929	193	5	shown	show	VERB
ejpam-4929	193	6	in	in	ADP
ejpam-4929	193	7	figures	figure	NOUN
ejpam-4929	193	8	2(a	2(a	NUM
ejpam-4929	193	9	,	,	PUNCT
ejpam-4929	193	10	b	b	NOUN
ejpam-4929	193	11	)	)	PUNCT
ejpam-4929	193	12	as	as	ADP
ejpam-4929	193	13	a	a	DET
ejpam-4929	193	14	monotonically	monotonically	ADV
ejpam-4929	193	15	decreasing	decrease	VERB
ejpam-4929	193	16	function	function	NOUN
ejpam-4929	193	17	of	of	ADP
ejpam-4929	193	18	the	the	DET
ejpam-4929	193	19	damping	damp	VERB
ejpam-4929	193	20	coefficient	coefficient	NOUN
ejpam-4929	193	21	µ1	µ1	PROPN
ejpam-4929	193	22	and	and	CCONJ
ejpam-4929	193	23	a	a	DET
ejpam-4929	193	24	monotonically	monotonically	ADV
ejpam-4929	193	25	increasing	increase	VERB
ejpam-4929	193	26	function	function	NOUN
ejpam-4929	193	27	in	in	ADP
ejpam-4929	193	28	the	the	DET
ejpam-4929	193	29	excitation	excitation	NOUN
ejpam-4929	193	30	wind	wind	NOUN
ejpam-4929	193	31	force	force	NOUN
ejpam-4929	193	32	fa	fa	PROPN
ejpam-4929	193	33	.	.	PUNCT
ejpam-4929	194	1	(	(	PUNCT
ejpam-4929	194	2	a	a	X
ejpam-4929	194	3	)	)	PUNCT
ejpam-4929	194	4	(	(	PUNCT
ejpam-4929	194	5	b	b	X
ejpam-4929	194	6	)	)	PUNCT
ejpam-4929	194	7	figure	figure	NOUN
ejpam-4929	194	8	2	2	NUM
ejpam-4929	194	9	:	:	PUNCT
ejpam-4929	194	10	(	(	PUNCT
ejpam-4929	194	11	a	a	X
ejpam-4929	194	12	)	)	PUNCT
ejpam-4929	194	13	effect	effect	NOUN
ejpam-4929	194	14	of	of	ADP
ejpam-4929	194	15	linear	linear	ADJ
ejpam-4929	194	16	damping	damp	VERB
ejpam-4929	194	17	µ1	µ1	NOUN
ejpam-4929	194	18	,	,	PUNCT
ejpam-4929	194	19	(	(	PUNCT
ejpam-4929	194	20	b)effect	b)effect	NOUN
ejpam-4929	194	21	of	of	ADP
ejpam-4929	194	22	excitation	excitation	NOUN
ejpam-4929	194	23	wind	wind	NOUN
ejpam-4929	194	24	force	force	NOUN
ejpam-4929	194	25	fa	fa	PROPN
ejpam-4929	194	26	on	on	ADP
ejpam-4929	194	27	wind	wind	NOUN
ejpam-4929	194	28	tower	tower	NOUN
ejpam-4929	194	29	system	system	NOUN
ejpam-4929	194	30	response	response	NOUN
ejpam-4929	194	31	.	.	PUNCT
ejpam-4929	195	1	a.	a.	NOUN
ejpam-4929	195	2	alsaadi	alsaadi	NOUN
ejpam-4929	195	3	,	,	PUNCT
ejpam-4929	195	4	y.	y.	PROPN
ejpam-4929	195	5	s.	s.	PROPN
ejpam-4929	195	6	hamed	hamed	PROPN
ejpam-4929	195	7	/	/	SYM
ejpam-4929	195	8	eur	eur	PROPN
ejpam-4929	195	9	.	.	PUNCT
ejpam-4929	196	1	j.	j.	PROPN
ejpam-4929	196	2	pure	pure	PROPN
ejpam-4929	196	3	appl	appl	PROPN
ejpam-4929	196	4	.	.	PROPN
ejpam-4929	196	5	math	math	PROPN
ejpam-4929	196	6	,	,	PUNCT
ejpam-4929	196	7	16	16	NUM
ejpam-4929	196	8	(	(	PUNCT
ejpam-4929	196	9	4	4	NUM
ejpam-4929	196	10	)	)	PUNCT
ejpam-4929	196	11	(	(	PUNCT
ejpam-4929	196	12	2023	2023	NUM
ejpam-4929	196	13	)	)	PUNCT
ejpam-4929	196	14	,	,	PUNCT
ejpam-4929	196	15	2703	2703	NUM
ejpam-4929	196	16	-	-	SYM
ejpam-4929	196	17	2728	2728	NUM
ejpam-4929	196	18	2713	2713	NUM
ejpam-4929	196	19	5.2	5.2	NUM
ejpam-4929	196	20	.	.	PUNCT
ejpam-4929	197	1	curves	curve	NOUN
ejpam-4929	197	2	of	of	ADP
ejpam-4929	197	3	force	force	NOUN
ejpam-4929	197	4	and	and	CCONJ
ejpam-4929	197	5	frequency	frequency	NOUN
ejpam-4929	197	6	response	response	NOUN
ejpam-4929	197	7	for	for	ADP
ejpam-4929	197	8	the	the	DET
ejpam-4929	197	9	system	system	NOUN
ejpam-4929	197	10	without	without	ADP
ejpam-4929	197	11	control	control	NOUN
ejpam-4929	197	12	the	the	DET
ejpam-4929	197	13	equilibrium	equilibrium	NOUN
ejpam-4929	197	14	behavior	behavior	NOUN
ejpam-4929	197	15	of	of	ADP
ejpam-4929	197	16	the	the	DET
ejpam-4929	197	17	wind	wind	NOUN
ejpam-4929	197	18	turbine	turbine	NOUN
ejpam-4929	197	19	tower	tower	NOUN
ejpam-4929	197	20	amplitude	amplitude	NOUN
ejpam-4929	197	21	a1	a1	NOUN
ejpam-4929	197	22	in	in	ADP
ejpam-4929	197	23	terms	term	NOUN
ejpam-4929	197	24	of	of	ADP
ejpam-4929	197	25	the	the	DET
ejpam-4929	197	26	forcing	force	VERB
ejpam-4929	197	27	amplitude	amplitude	NOUN
ejpam-4929	197	28	fa	fa	PROPN
ejpam-4929	197	29	before	before	ADP
ejpam-4929	197	30	control	control	NOUN
ejpam-4929	197	31	(	(	PUNCT
ejpam-4929	197	32	β1	β1	PROPN
ejpam-4929	197	33	=	=	SYM
ejpam-4929	197	34	0	0	NUM
ejpam-4929	197	35	,	,	PUNCT
ejpam-4929	197	36	β2	β2	NOUN
ejpam-4929	197	37	=	=	NOUN
ejpam-4929	197	38	0	0	NUM
ejpam-4929	197	39	)	)	PUNCT
ejpam-4929	197	40	is	be	AUX
ejpam-4929	197	41	shown	show	VERB
ejpam-4929	197	42	in	in	ADP
ejpam-4929	197	43	fig	fig	NOUN
ejpam-4929	197	44	.	.	PUNCT
ejpam-4929	198	1	3	3	X
ejpam-4929	198	2	.	.	X
ejpam-4929	198	3	as	as	SCONJ
ejpam-4929	198	4	the	the	DET
ejpam-4929	198	5	parameters	parameter	NOUN
ejpam-4929	198	6	µ1	µ1	PROPN
ejpam-4929	198	7	and	and	CCONJ
ejpam-4929	198	8	ω1	ω1	PROPN
ejpam-4929	198	9	are	be	AUX
ejpam-4929	198	10	increased	increase	VERB
ejpam-4929	198	11	,	,	PUNCT
ejpam-4929	198	12	the	the	DET
ejpam-4929	198	13	stable	stable	ADJ
ejpam-4929	198	14	nontrivial	nontrivial	ADJ
ejpam-4929	198	15	amplitudes	amplitude	NOUN
ejpam-4929	198	16	decreased	decrease	VERB
ejpam-4929	198	17	.	.	PUNCT
ejpam-4929	199	1	in	in	ADP
ejpam-4929	199	2	fig	fig	NOUN
ejpam-4929	199	3	.	.	PUNCT
ejpam-4929	200	1	4	4	NUM
ejpam-4929	200	2	(	(	PUNCT
ejpam-4929	200	3	a	a	DET
ejpam-4929	200	4	,	,	PUNCT
ejpam-4929	200	5	b	b	NOUN
ejpam-4929	200	6	,	,	PUNCT
ejpam-4929	200	7	c	c	NOUN
ejpam-4929	200	8	)	)	PUNCT
ejpam-4929	200	9	,	,	PUNCT
ejpam-4929	200	10	the	the	DET
ejpam-4929	200	11	equilibrium	equilibrium	NOUN
ejpam-4929	200	12	behavior	behavior	NOUN
ejpam-4929	200	13	of	of	ADP
ejpam-4929	200	14	the	the	DET
ejpam-4929	200	15	amplitude	amplitude	NOUN
ejpam-4929	200	16	a1	a1	NOUN
ejpam-4929	200	17	in	in	ADP
ejpam-4929	200	18	terms	term	NOUN
ejpam-4929	200	19	of	of	ADP
ejpam-4929	200	20	the	the	DET
ejpam-4929	200	21	frequency	frequency	NOUN
ejpam-4929	200	22	detuning	detuning	NOUN
ejpam-4929	200	23	σ1	σ1	PROPN
ejpam-4929	200	24	is	be	AUX
ejpam-4929	200	25	plotted	plot	VERB
ejpam-4929	200	26	before	before	ADP
ejpam-4929	200	27	control	control	NOUN
ejpam-4929	200	28	(	(	PUNCT
ejpam-4929	200	29	β1	β1	PROPN
ejpam-4929	200	30	=	=	SYM
ejpam-4929	200	31	0	0	NUM
ejpam-4929	200	32	,	,	PUNCT
ejpam-4929	200	33	β2	β2	NOUN
ejpam-4929	200	34	=	=	NOUN
ejpam-4929	200	35	0	0	NUM
ejpam-4929	200	36	)	)	PUNCT
ejpam-4929	200	37	.	.	PUNCT
ejpam-4929	201	1	in	in	ADP
ejpam-4929	201	2	this	this	DET
ejpam-4929	201	3	figure	figure	NOUN
ejpam-4929	201	4	,	,	PUNCT
ejpam-4929	201	5	increasing	increase	VERB
ejpam-4929	201	6	the	the	DET
ejpam-4929	201	7	parameters	parameter	NOUN
ejpam-4929	201	8	µ1	µ1	PROPN
ejpam-4929	201	9	and	and	CCONJ
ejpam-4929	201	10	ω1	ω1	PROPN
ejpam-4929	201	11	can	can	AUX
ejpam-4929	201	12	reduce	reduce	VERB
ejpam-4929	201	13	the	the	DET
ejpam-4929	201	14	oscillations	oscillation	NOUN
ejpam-4929	201	15	of	of	ADP
ejpam-4929	201	16	the	the	DET
ejpam-4929	201	17	system	system	NOUN
ejpam-4929	201	18	,	,	PUNCT
ejpam-4929	201	19	but	but	CCONJ
ejpam-4929	201	20	the	the	DET
ejpam-4929	201	21	oscillations	oscillation	NOUN
ejpam-4929	201	22	is	be	AUX
ejpam-4929	201	23	increased	increase	VERB
ejpam-4929	201	24	with	with	ADP
ejpam-4929	201	25	the	the	DET
ejpam-4929	201	26	increase	increase	NOUN
ejpam-4929	201	27	the	the	DET
ejpam-4929	201	28	parameters	parameter	NOUN
ejpam-4929	201	29	fa	fa	PROPN
ejpam-4929	201	30	.	.	PUNCT
ejpam-4929	202	1	(	(	PUNCT
ejpam-4929	202	2	a	a	X
ejpam-4929	202	3	)	)	PUNCT
ejpam-4929	202	4	(	(	PUNCT
ejpam-4929	202	5	b	b	X
ejpam-4929	202	6	)	)	PUNCT
ejpam-4929	202	7	figure	figure	NOUN
ejpam-4929	202	8	3	3	NUM
ejpam-4929	202	9	:	:	PUNCT
ejpam-4929	202	10	(	(	PUNCT
ejpam-4929	202	11	a	a	X
ejpam-4929	202	12	)	)	PUNCT
ejpam-4929	202	13	curves	curve	NOUN
ejpam-4929	202	14	of	of	ADP
ejpam-4929	202	15	force	force	NOUN
ejpam-4929	202	16	response	response	NOUN
ejpam-4929	202	17	for	for	ADP
ejpam-4929	202	18	owtt	owtt	NOUN
ejpam-4929	202	19	system	system	NOUN
ejpam-4929	202	20	before	before	ADP
ejpam-4929	202	21	control	control	NOUN
ejpam-4929	202	22	(	(	PUNCT
ejpam-4929	202	23	β1	β1	PROPN
ejpam-4929	202	24	=	=	SYM
ejpam-4929	202	25	0	0	NUM
ejpam-4929	202	26	,	,	PUNCT
ejpam-4929	202	27	β2	β2	NOUN
ejpam-4929	202	28	=	=	NOUN
ejpam-4929	202	29	0	0	NUM
ejpam-4929	202	30	)	)	PUNCT
ejpam-4929	202	31	at	at	ADP
ejpam-4929	202	32	different	different	ADJ
ejpam-4929	202	33	values	value	NOUN
ejpam-4929	202	34	of	of	ADP
ejpam-4929	202	35	linear	linear	ADJ
ejpam-4929	202	36	damping	damp	VERB
ejpam-4929	202	37	µ1	µ1	PROPN
ejpam-4929	202	38	,	,	PUNCT
ejpam-4929	202	39	(	(	PUNCT
ejpam-4929	202	40	b)curves	b)curve	NOUN
ejpam-4929	202	41	of	of	ADP
ejpam-4929	202	42	force	force	NOUN
ejpam-4929	202	43	response	response	NOUN
ejpam-4929	202	44	for	for	ADP
ejpam-4929	202	45	owtt	owtt	NOUN
ejpam-4929	202	46	system	system	NOUN
ejpam-4929	202	47	before	before	ADP
ejpam-4929	202	48	control	control	NOUN
ejpam-4929	202	49	(	(	PUNCT
ejpam-4929	202	50	β1	β1	PROPN
ejpam-4929	202	51	=	=	SYM
ejpam-4929	202	52	0	0	NUM
ejpam-4929	202	53	,	,	PUNCT
ejpam-4929	202	54	β2	β2	NOUN
ejpam-4929	202	55	=	=	NOUN
ejpam-4929	202	56	0	0	NUM
ejpam-4929	202	57	)	)	PUNCT
ejpam-4929	202	58	at	at	ADP
ejpam-4929	202	59	different	different	ADJ
ejpam-4929	202	60	values	value	NOUN
ejpam-4929	202	61	of	of	ADP
ejpam-4929	202	62	natural	natural	ADJ
ejpam-4929	202	63	frequency	frequency	NOUN
ejpam-4929	202	64	ω1	ω1	PROPN
ejpam-4929	202	65	.	.	PUNCT
ejpam-4929	202	66	a.	a.	NOUN
ejpam-4929	202	67	alsaadi	alsaadi	NOUN
ejpam-4929	202	68	,	,	PUNCT
ejpam-4929	202	69	y.	y.	PROPN
ejpam-4929	202	70	s.	s.	PROPN
ejpam-4929	202	71	hamed	hamed	PROPN
ejpam-4929	202	72	/	/	SYM
ejpam-4929	202	73	eur	eur	PROPN
ejpam-4929	202	74	.	.	PUNCT
ejpam-4929	203	1	j.	j.	PROPN
ejpam-4929	203	2	pure	pure	PROPN
ejpam-4929	203	3	appl	appl	PROPN
ejpam-4929	203	4	.	.	PROPN
ejpam-4929	203	5	math	math	PROPN
ejpam-4929	203	6	,	,	PUNCT
ejpam-4929	203	7	16	16	NUM
ejpam-4929	203	8	(	(	PUNCT
ejpam-4929	203	9	4	4	NUM
ejpam-4929	203	10	)	)	PUNCT
ejpam-4929	203	11	(	(	PUNCT
ejpam-4929	203	12	2023	2023	NUM
ejpam-4929	203	13	)	)	PUNCT
ejpam-4929	203	14	,	,	PUNCT
ejpam-4929	203	15	2703	2703	NUM
ejpam-4929	203	16	-	-	SYM
ejpam-4929	203	17	2728	2728	NUM
ejpam-4929	203	18	2714	2714	NUM
ejpam-4929	203	19	(	(	PUNCT
ejpam-4929	203	20	a	a	NOUN
ejpam-4929	203	21	)	)	PUNCT
ejpam-4929	203	22	(	(	PUNCT
ejpam-4929	203	23	b	b	X
ejpam-4929	203	24	)	)	PUNCT
ejpam-4929	203	25	(	(	PUNCT
ejpam-4929	203	26	c	c	X
ejpam-4929	203	27	)	)	PUNCT
ejpam-4929	203	28	figure	figure	NOUN
ejpam-4929	203	29	4	4	NUM
ejpam-4929	203	30	:	:	PUNCT
ejpam-4929	203	31	(	(	PUNCT
ejpam-4929	203	32	a	a	X
ejpam-4929	203	33	)	)	PUNCT
ejpam-4929	203	34	curves	curve	NOUN
ejpam-4929	203	35	of	of	ADP
ejpam-4929	203	36	force	force	NOUN
ejpam-4929	203	37	response	response	NOUN
ejpam-4929	203	38	for	for	ADP
ejpam-4929	203	39	owtt	owtt	NOUN
ejpam-4929	203	40	system	system	NOUN
ejpam-4929	203	41	before	before	ADP
ejpam-4929	203	42	control	control	NOUN
ejpam-4929	203	43	(	(	PUNCT
ejpam-4929	203	44	β1	β1	PROPN
ejpam-4929	203	45	=	=	SYM
ejpam-4929	203	46	0	0	NUM
ejpam-4929	203	47	,	,	PUNCT
ejpam-4929	203	48	β2	β2	NOUN
ejpam-4929	203	49	=	=	NOUN
ejpam-4929	203	50	0	0	NUM
ejpam-4929	203	51	)	)	PUNCT
ejpam-4929	203	52	at	at	ADP
ejpam-4929	203	53	different	different	ADJ
ejpam-4929	203	54	values	value	NOUN
ejpam-4929	203	55	of	of	ADP
ejpam-4929	203	56	linear	linear	NOUN
ejpam-4929	203	57	damping	damp	VERB
ejpam-4929	203	58	µ1	µ1	NOUN
ejpam-4929	203	59	,	,	PUNCT
ejpam-4929	203	60	(	(	PUNCT
ejpam-4929	203	61	b	b	NOUN
ejpam-4929	203	62	)	)	PUNCT
ejpam-4929	203	63	curves	curve	NOUN
ejpam-4929	203	64	of	of	ADP
ejpam-4929	203	65	force	force	NOUN
ejpam-4929	203	66	response	response	NOUN
ejpam-4929	203	67	for	for	ADP
ejpam-4929	203	68	owtt	owtt	NOUN
ejpam-4929	203	69	system	system	NOUN
ejpam-4929	203	70	before	before	ADP
ejpam-4929	203	71	control	control	NOUN
ejpam-4929	203	72	(	(	PUNCT
ejpam-4929	203	73	β1	β1	PROPN
ejpam-4929	203	74	=	=	SYM
ejpam-4929	203	75	0	0	NUM
ejpam-4929	203	76	,	,	PUNCT
ejpam-4929	203	77	β2	β2	NOUN
ejpam-4929	203	78	=	=	NOUN
ejpam-4929	203	79	0	0	NUM
ejpam-4929	203	80	)	)	PUNCT
ejpam-4929	203	81	at	at	ADP
ejpam-4929	203	82	different	different	ADJ
ejpam-4929	203	83	values	value	NOUN
ejpam-4929	203	84	of	of	ADP
ejpam-4929	203	85	natural	natural	ADJ
ejpam-4929	203	86	frequency	frequency	NOUN
ejpam-4929	203	87	ω1	ω1	PROPN
ejpam-4929	203	88	,	,	PUNCT
ejpam-4929	203	89	(	(	PUNCT
ejpam-4929	203	90	c	c	NOUN
ejpam-4929	203	91	)	)	PUNCT
ejpam-4929	203	92	curves	curve	NOUN
ejpam-4929	203	93	of	of	ADP
ejpam-4929	203	94	force	force	NOUN
ejpam-4929	203	95	response	response	NOUN
ejpam-4929	203	96	for	for	ADP
ejpam-4929	203	97	owtt	owtt	NOUN
ejpam-4929	203	98	system	system	NOUN
ejpam-4929	203	99	before	before	ADP
ejpam-4929	203	100	control	control	NOUN
ejpam-4929	203	101	(	(	PUNCT
ejpam-4929	203	102	β1	β1	PROPN
ejpam-4929	203	103	=	=	SYM
ejpam-4929	203	104	0	0	NUM
ejpam-4929	203	105	,	,	PUNCT
ejpam-4929	203	106	β2	β2	NOUN
ejpam-4929	203	107	=	=	NOUN
ejpam-4929	203	108	0	0	NUM
ejpam-4929	203	109	)	)	PUNCT
ejpam-4929	203	110	at	at	ADP
ejpam-4929	203	111	different	different	ADJ
ejpam-4929	203	112	values	value	NOUN
ejpam-4929	203	113	of	of	ADP
ejpam-4929	203	114	wind	wind	NOUN
ejpam-4929	203	115	amplitude	amplitude	NOUN
ejpam-4929	203	116	force	force	NOUN
ejpam-4929	203	117	fa	fa	PROPN
ejpam-4929	203	118	.	.	PROPN
ejpam-4929	203	119	5.3	5.3	NUM
ejpam-4929	203	120	.	.	PUNCT
ejpam-4929	204	1	curves	curve	NOUN
ejpam-4929	204	2	of	of	ADP
ejpam-4929	204	3	frequency	frequency	NOUN
ejpam-4929	204	4	response	response	NOUN
ejpam-4929	204	5	for	for	ADP
ejpam-4929	204	6	the	the	DET
ejpam-4929	204	7	controlled	control	VERB
ejpam-4929	204	8	system	system	NOUN
ejpam-4929	204	9	using	use	VERB
ejpam-4929	204	10	frequency	frequency	NOUN
ejpam-4929	204	11	response	response	NOUN
ejpam-4929	204	12	curves	curve	NOUN
ejpam-4929	204	13	,	,	PUNCT
ejpam-4929	204	14	we	we	PRON
ejpam-4929	204	15	investigated	investigate	VERB
ejpam-4929	204	16	the	the	DET
ejpam-4929	204	17	effects	effect	NOUN
ejpam-4929	204	18	of	of	ADP
ejpam-4929	204	19	the	the	DET
ejpam-4929	204	20	various	various	ADJ
ejpam-4929	204	21	factors	factor	NOUN
ejpam-4929	204	22	on	on	ADP
ejpam-4929	204	23	the	the	DET
ejpam-4929	204	24	controlled	control	VERB
ejpam-4929	204	25	system	system	NOUN
ejpam-4929	204	26	’s	’s	PART
ejpam-4929	204	27	stability	stability	NOUN
ejpam-4929	204	28	zone	zone	NOUN
ejpam-4929	204	29	.	.	PUNCT
ejpam-4929	205	1	in	in	ADP
ejpam-4929	205	2	figs	fig	NOUN
ejpam-4929	205	3	.	.	PUNCT
ejpam-4929	206	1	(	(	PUNCT
ejpam-4929	206	2	5	5	NUM
ejpam-4929	206	3	-	-	SYM
ejpam-4929	206	4	10	10	NUM
ejpam-4929	206	5	)	)	PUNCT
ejpam-4929	206	6	,	,	PUNCT
ejpam-4929	206	7	the	the	DET
ejpam-4929	206	8	equilibrium	equilibrium	NOUN
ejpam-4929	206	9	behavior	behavior	NOUN
ejpam-4929	206	10	of	of	ADP
ejpam-4929	206	11	the	the	DET
ejpam-4929	206	12	(	(	PUNCT
ejpam-4929	206	13	wtt)amplitudes	wtt)amplitudes	PROPN
ejpam-4929	206	14	a1	a1	PROPN
ejpam-4929	206	15	,	,	PUNCT
ejpam-4929	206	16	a2	a2	PROPN
ejpam-4929	206	17	in	in	ADP
ejpam-4929	206	18	terms	term	NOUN
ejpam-4929	206	19	of	of	ADP
ejpam-4929	206	20	the	the	DET
ejpam-4929	206	21	frequency	frequency	NOUN
ejpam-4929	206	22	detuning	detuning	NOUN
ejpam-4929	206	23	σ1	σ1	PROPN
ejpam-4929	206	24	is	be	AUX
ejpam-4929	206	25	plotted	plot	VERB
ejpam-4929	206	26	before	before	ADP
ejpam-4929	206	27	control	control	NOUN
ejpam-4929	206	28	(	(	PUNCT
ejpam-4929	206	29	β1	β1	PROPN
ejpam-4929	206	30	=	=	SYM
ejpam-4929	206	31	5	5	NUM
ejpam-4929	206	32	,	,	PUNCT
ejpam-4929	206	33	β2	β2	NOUN
ejpam-4929	206	34	=	=	SYM
ejpam-4929	206	35	0.5).according	0.5).accorde	VERB
ejpam-4929	206	36	to	to	PART
ejpam-4929	206	37	fig	fig	VERB
ejpam-4929	206	38	.	.	PUNCT
ejpam-4929	207	1	5	5	NUM
ejpam-4929	207	2	,	,	PUNCT
ejpam-4929	207	3	the	the	DET
ejpam-4929	207	4	controlled	control	VERB
ejpam-4929	207	5	system	system	NOUN
ejpam-4929	207	6	behavior	behavior	NOUN
ejpam-4929	207	7	is	be	AUX
ejpam-4929	207	8	a	a	DET
ejpam-4929	207	9	monotonically	monotonically	ADV
ejpam-4929	207	10	increasing	increase	VERB
ejpam-4929	207	11	function	function	NOUN
ejpam-4929	207	12	in	in	ADP
ejpam-4929	207	13	the	the	DET
ejpam-4929	207	14	parameter	parameter	NOUN
ejpam-4929	207	15	fa	fa	PROPN
ejpam-4929	207	16	.	.	PROPN
ejpam-4929	207	17	figures	figure	NOUN
ejpam-4929	207	18	(	(	PUNCT
ejpam-4929	207	19	6–8	6–8	X
ejpam-4929	207	20	)	)	PUNCT
ejpam-4929	207	21	demonstrate	demonstrate	VERB
ejpam-4929	207	22	the	the	DET
ejpam-4929	207	23	controlled	control	VERB
ejpam-4929	207	24	system	system	NOUN
ejpam-4929	207	25	’s	’s	PART
ejpam-4929	207	26	behavior	behavior	NOUN
ejpam-4929	207	27	as	as	ADP
ejpam-4929	207	28	a	a	DET
ejpam-4929	207	29	monotonic	monotonic	ADJ
ejpam-4929	207	30	decreasing	decrease	VERB
ejpam-4929	207	31	function	function	NOUN
ejpam-4929	207	32	of	of	ADP
ejpam-4929	207	33	the	the	DET
ejpam-4929	207	34	parameters	parameter	NOUN
ejpam-4929	207	35	µ1	µ1	PROPN
ejpam-4929	207	36	,	,	PUNCT
ejpam-4929	207	37	µ2	µ2	PROPN
ejpam-4929	207	38	,	,	PUNCT
ejpam-4929	207	39	ω1	ω1	PROPN
ejpam-4929	207	40	andω2	andω2	PROPN
ejpam-4929	207	41	.	.	PUNCT
ejpam-4929	208	1	we	we	PRON
ejpam-4929	208	2	utilize	utilize	VERB
ejpam-4929	208	3	these	these	DET
ejpam-4929	208	4	parameters	parameter	NOUN
ejpam-4929	208	5	to	to	PART
ejpam-4929	208	6	reduce	reduce	VERB
ejpam-4929	208	7	the	the	DET
ejpam-4929	208	8	oscillations	oscillation	NOUN
ejpam-4929	208	9	of	of	ADP
ejpam-4929	208	10	the	the	DET
ejpam-4929	208	11	owtt	owtt	NOUN
ejpam-4929	208	12	system	system	NOUN
ejpam-4929	208	13	based	base	VERB
ejpam-4929	208	14	on	on	ADP
ejpam-4929	208	15	these	these	DET
ejpam-4929	208	16	figures	figure	NOUN
ejpam-4929	208	17	.	.	PUNCT
ejpam-4929	209	1	additionally	additionally	ADV
ejpam-4929	209	2	,	,	PUNCT
ejpam-4929	209	3	the	the	DET
ejpam-4929	209	4	saturation	saturation	NOUN
ejpam-4929	209	5	occurs	occur	VERB
ejpam-4929	209	6	,	,	PUNCT
ejpam-4929	209	7	and	and	CCONJ
ejpam-4929	209	8	the	the	DET
ejpam-4929	209	9	curves	curve	NOUN
ejpam-4929	209	10	are	be	AUX
ejpam-4929	209	11	shifted	shift	VERB
ejpam-4929	209	12	to	to	ADP
ejpam-4929	209	13	the	the	DET
ejpam-4929	209	14	right	right	NOUN
ejpam-4929	209	15	for	for	ADP
ejpam-4929	209	16	the	the	DET
ejpam-4929	209	17	system	system	NOUN
ejpam-4929	209	18	behavior	behavior	NOUN
ejpam-4929	209	19	with	with	ADP
ejpam-4929	209	20	the	the	DET
ejpam-4929	209	21	change	change	NOUN
ejpam-4929	209	22	in	in	ADP
ejpam-4929	209	23	values	value	NOUN
ejpam-4929	209	24	β1	β1	PROPN
ejpam-4929	209	25	,	,	PUNCT
ejpam-4929	209	26	β2	β2	NOUN
ejpam-4929	209	27	,	,	PUNCT
ejpam-4929	209	28	but	but	CCONJ
ejpam-4929	209	29	the	the	DET
ejpam-4929	209	30	control	control	NOUN
ejpam-4929	209	31	behavior	behavior	NOUN
ejpam-4929	209	32	is	be	AUX
ejpam-4929	209	33	decreased	decrease	VERB
ejpam-4929	209	34	with	with	ADP
ejpam-4929	209	35	increasing	increase	VERB
ejpam-4929	209	36	β1	β1	PROPN
ejpam-4929	209	37	and	and	CCONJ
ejpam-4929	209	38	increased	increase	VERB
ejpam-4929	209	39	with	with	ADP
ejpam-4929	209	40	increasing	increase	VERB
ejpam-4929	209	41	β2	β2	NOUN
ejpam-4929	209	42	as	as	SCONJ
ejpam-4929	209	43	shown	show	VERB
ejpam-4929	209	44	in	in	ADP
ejpam-4929	209	45	figs	fig	NOUN
ejpam-4929	209	46	.	.	PUNCT
ejpam-4929	210	1	(	(	PUNCT
ejpam-4929	210	2	9	9	NUM
ejpam-4929	210	3	,	,	PUNCT
ejpam-4929	210	4	10	10	NUM
ejpam-4929	210	5	)	)	PUNCT
ejpam-4929	210	6	.	.	PUNCT
ejpam-4929	211	1	a.	a.	NOUN
ejpam-4929	211	2	alsaadi	alsaadi	NOUN
ejpam-4929	211	3	,	,	PUNCT
ejpam-4929	211	4	y.	y.	PROPN
ejpam-4929	211	5	s.	s.	PROPN
ejpam-4929	211	6	hamed	hamed	PROPN
ejpam-4929	211	7	/	/	SYM
ejpam-4929	211	8	eur	eur	PROPN
ejpam-4929	211	9	.	.	PUNCT
ejpam-4929	212	1	j.	j.	PROPN
ejpam-4929	212	2	pure	pure	PROPN
ejpam-4929	212	3	appl	appl	PROPN
ejpam-4929	212	4	.	.	PROPN
ejpam-4929	212	5	math	math	PROPN
ejpam-4929	212	6	,	,	PUNCT
ejpam-4929	212	7	16	16	NUM
ejpam-4929	212	8	(	(	PUNCT
ejpam-4929	212	9	4	4	NUM
ejpam-4929	212	10	)	)	PUNCT
ejpam-4929	212	11	(	(	PUNCT
ejpam-4929	212	12	2023	2023	NUM
ejpam-4929	212	13	)	)	PUNCT
ejpam-4929	212	14	,	,	PUNCT
ejpam-4929	212	15	2703	2703	NUM
ejpam-4929	212	16	-	-	SYM
ejpam-4929	212	17	2728	2728	NUM
ejpam-4929	212	18	2715	2715	NUM
ejpam-4929	212	19	figure	figure	NOUN
ejpam-4929	212	20	5	5	NUM
ejpam-4929	212	21	:	:	PUNCT
ejpam-4929	212	22	curves	curve	NOUN
ejpam-4929	212	23	demonstrating	demonstrate	VERB
ejpam-4929	212	24	the	the	DET
ejpam-4929	212	25	controlled	control	VERB
ejpam-4929	212	26	system	system	NOUN
ejpam-4929	212	27	’s	’s	PART
ejpam-4929	212	28	frequency	frequency	ADJ
ejpam-4929	212	29	response	response	NOUN
ejpam-4929	212	30	after	after	ADP
ejpam-4929	212	31	control	control	NOUN
ejpam-4929	212	32	(	(	PUNCT
ejpam-4929	212	33	β1	β1	PROPN
ejpam-4929	212	34	=	=	SYM
ejpam-4929	212	35	5	5	NUM
ejpam-4929	212	36	,	,	PUNCT
ejpam-4929	212	37	β2	β2	NOUN
ejpam-4929	212	38	=	=	NOUN
ejpam-4929	212	39	0.5	0.5	NUM
ejpam-4929	212	40	)	)	PUNCT
ejpam-4929	212	41	at	at	ADP
ejpam-4929	212	42	different	different	ADJ
ejpam-4929	212	43	values	value	NOUN
ejpam-4929	212	44	of	of	ADP
ejpam-4929	212	45	wind	wind	NOUN
ejpam-4929	212	46	amplitude	amplitude	NOUN
ejpam-4929	212	47	force	force	NOUN
ejpam-4929	212	48	fa	fa	PROPN
ejpam-4929	212	49	.	.	PROPN
ejpam-4929	212	50	figure	figure	NOUN
ejpam-4929	212	51	6	6	NUM
ejpam-4929	212	52	:	:	PUNCT
ejpam-4929	212	53	curves	curve	NOUN
ejpam-4929	212	54	demonstrating	demonstrate	VERB
ejpam-4929	212	55	the	the	DET
ejpam-4929	212	56	controlled	control	VERB
ejpam-4929	212	57	system	system	NOUN
ejpam-4929	212	58	’s	’s	PART
ejpam-4929	212	59	frequency	frequency	ADJ
ejpam-4929	212	60	response	response	NOUN
ejpam-4929	212	61	after	after	ADP
ejpam-4929	212	62	control	control	NOUN
ejpam-4929	212	63	(	(	PUNCT
ejpam-4929	212	64	β1	β1	PROPN
ejpam-4929	212	65	=	=	SYM
ejpam-4929	212	66	5	5	NUM
ejpam-4929	212	67	,	,	PUNCT
ejpam-4929	212	68	β2	β2	NOUN
ejpam-4929	212	69	=	=	NOUN
ejpam-4929	212	70	0.5	0.5	NUM
ejpam-4929	212	71	)	)	PUNCT
ejpam-4929	212	72	at	at	ADP
ejpam-4929	212	73	different	different	ADJ
ejpam-4929	212	74	values	value	NOUN
ejpam-4929	212	75	of	of	ADP
ejpam-4929	212	76	linear	linear	ADJ
ejpam-4929	212	77	damping	damp	VERB
ejpam-4929	212	78	µ1	µ1	NOUN
ejpam-4929	212	79	.	.	PUNCT
ejpam-4929	213	1	figure	figure	NOUN
ejpam-4929	213	2	7	7	NUM
ejpam-4929	213	3	:	:	PUNCT
ejpam-4929	213	4	curves	curve	NOUN
ejpam-4929	213	5	demonstrating	demonstrate	VERB
ejpam-4929	213	6	the	the	DET
ejpam-4929	213	7	controlled	control	VERB
ejpam-4929	213	8	system	system	NOUN
ejpam-4929	213	9	’s	’s	PART
ejpam-4929	213	10	frequency	frequency	ADJ
ejpam-4929	213	11	response	response	NOUN
ejpam-4929	213	12	after	after	ADP
ejpam-4929	213	13	control	control	NOUN
ejpam-4929	213	14	(	(	PUNCT
ejpam-4929	213	15	β1	β1	PROPN
ejpam-4929	213	16	=	=	SYM
ejpam-4929	213	17	5	5	NUM
ejpam-4929	213	18	,	,	PUNCT
ejpam-4929	213	19	β2	β2	NOUN
ejpam-4929	213	20	=	=	NOUN
ejpam-4929	213	21	0.5	0.5	NUM
ejpam-4929	213	22	)	)	PUNCT
ejpam-4929	213	23	at	at	ADP
ejpam-4929	213	24	different	different	ADJ
ejpam-4929	213	25	values	value	NOUN
ejpam-4929	213	26	of	of	ADP
ejpam-4929	213	27	linear	linear	ADJ
ejpam-4929	213	28	damping	damp	VERB
ejpam-4929	213	29	µ2	µ2	PROPN
ejpam-4929	213	30	.	.	PUNCT
ejpam-4929	214	1	figure	figure	NOUN
ejpam-4929	214	2	8	8	NUM
ejpam-4929	214	3	:	:	PUNCT
ejpam-4929	214	4	curves	curve	NOUN
ejpam-4929	214	5	demonstrating	demonstrate	VERB
ejpam-4929	214	6	the	the	DET
ejpam-4929	214	7	controlled	control	VERB
ejpam-4929	214	8	system	system	NOUN
ejpam-4929	214	9	’s	’s	PART
ejpam-4929	214	10	frequency	frequency	ADJ
ejpam-4929	214	11	response	response	NOUN
ejpam-4929	214	12	after	after	ADP
ejpam-4929	214	13	control	control	NOUN
ejpam-4929	214	14	(	(	PUNCT
ejpam-4929	214	15	β1	β1	PROPN
ejpam-4929	214	16	=	=	SYM
ejpam-4929	214	17	5	5	NUM
ejpam-4929	214	18	,	,	PUNCT
ejpam-4929	214	19	β2	β2	NOUN
ejpam-4929	214	20	=	=	NOUN
ejpam-4929	214	21	0.5	0.5	NUM
ejpam-4929	214	22	)	)	PUNCT
ejpam-4929	214	23	at	at	ADP
ejpam-4929	214	24	different	different	ADJ
ejpam-4929	214	25	values	value	NOUN
ejpam-4929	214	26	of	of	ADP
ejpam-4929	214	27	natural	natural	ADJ
ejpam-4929	214	28	frequencies	frequency	NOUN
ejpam-4929	214	29	ω1	ω1	PROPN
ejpam-4929	214	30	,	,	PUNCT
ejpam-4929	214	31	ω2	ω2	PROPN
ejpam-4929	214	32	.	.	PUNCT
ejpam-4929	215	1	a.	a.	NOUN
ejpam-4929	215	2	alsaadi	alsaadi	NOUN
ejpam-4929	215	3	,	,	PUNCT
ejpam-4929	215	4	y.	y.	PROPN
ejpam-4929	215	5	s.	s.	PROPN
ejpam-4929	215	6	hamed	hamed	PROPN
ejpam-4929	215	7	/	/	SYM
ejpam-4929	215	8	eur	eur	PROPN
ejpam-4929	215	9	.	.	PUNCT
ejpam-4929	216	1	j.	j.	PROPN
ejpam-4929	216	2	pure	pure	PROPN
ejpam-4929	216	3	appl	appl	PROPN
ejpam-4929	216	4	.	.	PROPN
ejpam-4929	216	5	math	math	PROPN
ejpam-4929	216	6	,	,	PUNCT
ejpam-4929	216	7	16	16	NUM
ejpam-4929	216	8	(	(	PUNCT
ejpam-4929	216	9	4	4	NUM
ejpam-4929	216	10	)	)	PUNCT
ejpam-4929	216	11	(	(	PUNCT
ejpam-4929	216	12	2023	2023	NUM
ejpam-4929	216	13	)	)	PUNCT
ejpam-4929	216	14	,	,	PUNCT
ejpam-4929	216	15	2703	2703	NUM
ejpam-4929	216	16	-	-	SYM
ejpam-4929	216	17	2728	2728	NUM
ejpam-4929	216	18	2716	2716	NUM
ejpam-4929	216	19	figure	figure	VERB
ejpam-4929	216	20	9	9	NUM
ejpam-4929	216	21	:	:	PUNCT
ejpam-4929	216	22	curves	curve	NOUN
ejpam-4929	216	23	demonstrating	demonstrate	VERB
ejpam-4929	216	24	the	the	DET
ejpam-4929	216	25	controlled	control	VERB
ejpam-4929	216	26	system	system	NOUN
ejpam-4929	216	27	’s	’s	PART
ejpam-4929	216	28	frequency	frequency	ADJ
ejpam-4929	216	29	response	response	NOUN
ejpam-4929	216	30	after	after	ADP
ejpam-4929	216	31	control	control	NOUN
ejpam-4929	216	32	(	(	PUNCT
ejpam-4929	216	33	β1	β1	PROPN
ejpam-4929	216	34	=	=	SYM
ejpam-4929	216	35	5	5	NUM
ejpam-4929	216	36	,	,	PUNCT
ejpam-4929	216	37	β2	β2	NOUN
ejpam-4929	216	38	=	=	NOUN
ejpam-4929	216	39	0.5	0.5	NUM
ejpam-4929	216	40	)	)	PUNCT
ejpam-4929	216	41	at	at	ADP
ejpam-4929	216	42	different	different	ADJ
ejpam-4929	216	43	values	value	NOUN
ejpam-4929	216	44	of	of	ADP
ejpam-4929	216	45	control	control	NOUN
ejpam-4929	216	46	unit	unit	NOUN
ejpam-4929	216	47	β1	β1	PROPN
ejpam-4929	216	48	.	.	PUNCT
ejpam-4929	217	1	figure	figure	VERB
ejpam-4929	217	2	10	10	NUM
ejpam-4929	217	3	:	:	PUNCT
ejpam-4929	217	4	curves	curve	NOUN
ejpam-4929	217	5	demonstrating	demonstrate	VERB
ejpam-4929	217	6	the	the	DET
ejpam-4929	217	7	controlled	control	VERB
ejpam-4929	217	8	system	system	NOUN
ejpam-4929	217	9	’s	’s	PART
ejpam-4929	217	10	frequency	frequency	ADJ
ejpam-4929	217	11	response	response	NOUN
ejpam-4929	217	12	after	after	ADP
ejpam-4929	217	13	control	control	NOUN
ejpam-4929	217	14	(	(	PUNCT
ejpam-4929	217	15	β1	β1	PROPN
ejpam-4929	217	16	=	=	SYM
ejpam-4929	217	17	5	5	NUM
ejpam-4929	217	18	,	,	PUNCT
ejpam-4929	217	19	β2	β2	NOUN
ejpam-4929	217	20	=	=	NOUN
ejpam-4929	217	21	0.5	0.5	NUM
ejpam-4929	217	22	)	)	PUNCT
ejpam-4929	217	23	at	at	ADP
ejpam-4929	217	24	different	different	ADJ
ejpam-4929	217	25	values	value	NOUN
ejpam-4929	217	26	of	of	ADP
ejpam-4929	217	27	control	control	NOUN
ejpam-4929	217	28	unit	unit	NOUN
ejpam-4929	217	29	β2	β2	NOUN
ejpam-4929	217	30	.	.	PUNCT
ejpam-4929	218	1	6	6	NUM
ejpam-4929	218	2	.	.	X
ejpam-4929	218	3	discussion	discussion	NOUN
ejpam-4929	218	4	of	of	ADP
ejpam-4929	218	5	analytical	analytical	ADJ
ejpam-4929	218	6	and	and	CCONJ
ejpam-4929	218	7	numerical	numerical	ADJ
ejpam-4929	218	8	results	result	NOUN
ejpam-4929	218	9	using	use	VERB
ejpam-4929	218	10	the	the	DET
ejpam-4929	218	11	fourth	fourth	ADJ
ejpam-4929	218	12	order	order	NOUN
ejpam-4929	218	13	rung	rung	VERB
ejpam-4929	218	14	-	-	PUNCT
ejpam-4929	218	15	kutta	kutta	PROPN
ejpam-4929	218	16	numerical	numerical	PROPN
ejpam-4929	218	17	approach	approach	PROPN
ejpam-4929	218	18	,	,	PUNCT
ejpam-4929	218	19	figures	figure	VERB
ejpam-4929	218	20	11	11	NUM
ejpam-4929	218	21	to	to	PART
ejpam-4929	218	22	14	14	NUM
ejpam-4929	218	23	simulate	simulate	VERB
ejpam-4929	218	24	the	the	DET
ejpam-4929	218	25	wind	wind	NOUN
ejpam-4929	218	26	turbine	turbine	NOUN
ejpam-4929	218	27	tower	tower	NOUN
ejpam-4929	218	28	vibrations	vibration	NOUN
ejpam-4929	218	29	both	both	CCONJ
ejpam-4929	218	30	before	before	ADP
ejpam-4929	218	31	and	and	CCONJ
ejpam-4929	218	32	after	after	ADP
ejpam-4929	218	33	control	control	NOUN
ejpam-4929	218	34	.	.	PUNCT
ejpam-4929	219	1	in	in	ADP
ejpam-4929	219	2	terms	term	NOUN
ejpam-4929	219	3	of	of	ADP
ejpam-4929	219	4	time	time	NOUN
ejpam-4929	219	5	before	before	ADP
ejpam-4929	219	6	control	control	NOUN
ejpam-4929	219	7	,	,	PUNCT
ejpam-4929	219	8	figure	figure	VERB
ejpam-4929	219	9	11	11	NUM
ejpam-4929	219	10	shows	show	VERB
ejpam-4929	219	11	the	the	DET
ejpam-4929	219	12	wind	wind	NOUN
ejpam-4929	219	13	turbine	turbine	NOUN
ejpam-4929	219	14	tower	tower	NOUN
ejpam-4929	219	15	’s	’s	PART
ejpam-4929	219	16	nontrivial	nontrivial	ADJ
ejpam-4929	219	17	vibrations	vibration	NOUN
ejpam-4929	219	18	.	.	PUNCT
ejpam-4929	220	1	figure	figure	NOUN
ejpam-4929	220	2	11(a	11(a	NUM
ejpam-4929	220	3	)	)	PUNCT
ejpam-4929	220	4	depicts	depict	VERB
ejpam-4929	220	5	the	the	DET
ejpam-4929	220	6	system	system	NOUN
ejpam-4929	220	7	oscillations	oscillation	NOUN
ejpam-4929	220	8	,	,	PUNCT
ejpam-4929	220	9	which	which	PRON
ejpam-4929	220	10	have	have	VERB
ejpam-4929	220	11	an	an	DET
ejpam-4929	220	12	amplitude	amplitude	NOUN
ejpam-4929	220	13	of	of	ADP
ejpam-4929	220	14	about	about	ADV
ejpam-4929	220	15	43	43	NUM
ejpam-4929	220	16	centimeters	centimeter	NOUN
ejpam-4929	220	17	,	,	PUNCT
ejpam-4929	220	18	while	while	SCONJ
ejpam-4929	220	19	figure	figure	NOUN
ejpam-4929	220	20	11(b	11(b	NUM
ejpam-4929	220	21	)	)	PUNCT
ejpam-4929	220	22	depicts	depict	VERB
ejpam-4929	220	23	a	a	DET
ejpam-4929	220	24	steady	steady	ADJ
ejpam-4929	220	25	-	-	PUNCT
ejpam-4929	220	26	state	state	NOUN
ejpam-4929	220	27	system	system	NOUN
ejpam-4929	220	28	oscillation	oscillation	NOUN
ejpam-4929	220	29	of	of	ADP
ejpam-4929	220	30	last	last	ADJ
ejpam-4929	220	31	20	20	NUM
ejpam-4929	220	32	seconds	second	NOUN
ejpam-4929	220	33	to	to	PART
ejpam-4929	220	34	demonstrate	demonstrate	VERB
ejpam-4929	220	35	the	the	DET
ejpam-4929	220	36	reader	reader	NOUN
ejpam-4929	220	37	the	the	DET
ejpam-4929	220	38	specifics	specific	NOUN
ejpam-4929	220	39	of	of	ADP
ejpam-4929	220	40	the	the	DET
ejpam-4929	220	41	solution	solution	NOUN
ejpam-4929	220	42	waveform	waveform	NOUN
ejpam-4929	220	43	.	.	PUNCT
ejpam-4929	221	1	additionally	additionally	ADV
ejpam-4929	221	2	,	,	PUNCT
ejpam-4929	221	3	the	the	DET
ejpam-4929	221	4	controlled	control	VERB
ejpam-4929	221	5	system	system	NOUN
ejpam-4929	221	6	’s	’s	PART
ejpam-4929	221	7	oscillation	oscillation	NOUN
ejpam-4929	221	8	amplitude	amplitude	NOUN
ejpam-4929	221	9	can	can	AUX
ejpam-4929	221	10	reach	reach	VERB
ejpam-4929	221	11	0.6	0.6	NUM
ejpam-4929	221	12	centimeters	centimeter	NOUN
ejpam-4929	221	13	,	,	PUNCT
ejpam-4929	221	14	and	and	CCONJ
ejpam-4929	221	15	the	the	DET
ejpam-4929	221	16	unit	unit	NOUN
ejpam-4929	221	17	control	control	PROPN
ejpam-4929	221	18	’s	’s	PART
ejpam-4929	221	19	effectiveness	effectiveness	NOUN
ejpam-4929	221	20	(	(	PUNCT
ejpam-4929	221	21	ea=	ea=	NOUN
ejpam-4929	221	22	the	the	DET
ejpam-4929	221	23	amplitude	amplitude	NOUN
ejpam-4929	221	24	before	before	ADP
ejpam-4929	221	25	control	control	NOUN
ejpam-4929	221	26	/	/	SYM
ejpam-4929	221	27	amplitude	amplitude	NOUN
ejpam-4929	221	28	after	after	ADP
ejpam-4929	221	29	control	control	NOUN
ejpam-4929	221	30	)	)	PUNCT
ejpam-4929	221	31	equal	equal	ADJ
ejpam-4929	221	32	ea=72	ea=72	NOUN
ejpam-4929	222	1	when	when	SCONJ
ejpam-4929	222	2	(	(	PUNCT
ejpam-4929	222	3	β1	β1	NOUN
ejpam-4929	222	4	=	=	SYM
ejpam-4929	222	5	5	5	NUM
ejpam-4929	222	6	,	,	PUNCT
ejpam-4929	222	7	β2	β2	NOUN
ejpam-4929	222	8	=	=	NOUN
ejpam-4929	222	9	0.5	0.5	NUM
ejpam-4929	222	10	,	,	PUNCT
ejpam-4929	222	11	ω1	ω1	PROPN
ejpam-4929	222	12	=	=	PUNCT
ejpam-4929	222	13	1.26	1.26	NUM
ejpam-4929	222	14	)	)	PUNCT
ejpam-4929	222	15	as	as	SCONJ
ejpam-4929	222	16	shown	show	VERB
ejpam-4929	222	17	in	in	ADP
ejpam-4929	222	18	fig	fig	NOUN
ejpam-4929	222	19	.	.	PUNCT
ejpam-4929	223	1	12	12	NUM
ejpam-4929	223	2	,	,	PUNCT
ejpam-4929	223	3	this	this	PRON
ejpam-4929	223	4	mean	mean	VERB
ejpam-4929	223	5	that	that	SCONJ
ejpam-4929	223	6	the	the	DET
ejpam-4929	223	7	steady	steady	ADJ
ejpam-4929	223	8	oscillations	oscillation	NOUN
ejpam-4929	223	9	of	of	ADP
ejpam-4929	223	10	the	the	DET
ejpam-4929	223	11	wind	wind	NOUN
ejpam-4929	223	12	turbine	turbine	NOUN
ejpam-4929	223	13	had	have	AUX
ejpam-4929	223	14	been	be	AUX
ejpam-4929	223	15	reduced	reduce	VERB
ejpam-4929	223	16	from	from	ADP
ejpam-4929	223	17	their	their	PRON
ejpam-4929	223	18	former	former	ADJ
ejpam-4929	223	19	state	state	NOUN
ejpam-4929	223	20	by	by	ADP
ejpam-4929	223	21	about	about	ADV
ejpam-4929	223	22	98.5	98.5	NUM
ejpam-4929	223	23	.	.	PUNCT
ejpam-4929	224	1	also	also	ADV
ejpam-4929	224	2	,	,	PUNCT
ejpam-4929	224	3	the	the	DET
ejpam-4929	224	4	oscillation	oscillation	NOUN
ejpam-4929	224	5	amplitude	amplitude	NOUN
ejpam-4929	224	6	of	of	ADP
ejpam-4929	224	7	the	the	DET
ejpam-4929	224	8	controlled	control	VERB
ejpam-4929	224	9	system	system	NOUN
ejpam-4929	224	10	can	can	AUX
ejpam-4929	224	11	reach	reach	VERB
ejpam-4929	224	12	approximately	approximately	ADV
ejpam-4929	224	13	7	7	NUM
ejpam-4929	224	14	centimeters	centimeter	NOUN
ejpam-4929	224	15	and	and	CCONJ
ejpam-4929	224	16	ea=6.2	ea=6.2	NOUN
ejpam-4929	224	17	when	when	SCONJ
ejpam-4929	224	18	(	(	PUNCT
ejpam-4929	224	19	β1	β1	NOUN
ejpam-4929	224	20	=	=	SYM
ejpam-4929	224	21	5	5	NUM
ejpam-4929	224	22	,	,	PUNCT
ejpam-4929	224	23	β2	β2	NOUN
ejpam-4929	224	24	=	=	NOUN
ejpam-4929	224	25	0.05	0.05	NUM
ejpam-4929	224	26	,	,	PUNCT
ejpam-4929	224	27	ω1	ω1	PROPN
ejpam-4929	224	28	=	=	PUNCT
ejpam-4929	224	29	1.26	1.26	NUM
ejpam-4929	224	30	)	)	PUNCT
ejpam-4929	224	31	as	as	SCONJ
ejpam-4929	224	32	shown	show	VERB
ejpam-4929	224	33	in	in	ADP
ejpam-4929	224	34	fig	fig	NOUN
ejpam-4929	224	35	13	13	NUM
ejpam-4929	224	36	,	,	PUNCT
ejpam-4929	224	37	and	and	CCONJ
ejpam-4929	224	38	reach	reach	VERB
ejpam-4929	224	39	approximately	approximately	ADV
ejpam-4929	224	40	1	1	NUM
ejpam-4929	224	41	centimeters	centimeter	NOUN
ejpam-4929	224	42	and	and	CCONJ
ejpam-4929	224	43	ea=43	ea=43	ADV
ejpam-4929	224	44	when	when	SCONJ
ejpam-4929	224	45	(	(	PUNCT
ejpam-4929	224	46	β1	β1	NOUN
ejpam-4929	224	47	=	=	SYM
ejpam-4929	224	48	5	5	NUM
ejpam-4929	224	49	,	,	PUNCT
ejpam-4929	224	50	β2	β2	NOUN
ejpam-4929	224	51	=	=	NOUN
ejpam-4929	224	52	0.5	0.5	NUM
ejpam-4929	224	53	,	,	PUNCT
ejpam-4929	224	54	ω1	ω1	PROPN
ejpam-4929	224	55	=	=	NOUN
ejpam-4929	224	56	2.01	2.01	NUM
ejpam-4929	224	57	)	)	PUNCT
ejpam-4929	224	58	as	as	SCONJ
ejpam-4929	224	59	shown	show	VERB
ejpam-4929	224	60	in	in	ADP
ejpam-4929	224	61	fig	fig	NOUN
ejpam-4929	224	62	.	.	PUNCT
ejpam-4929	225	1	14	14	NUM
ejpam-4929	225	2	.	.	PUNCT
ejpam-4929	226	1	in	in	ADP
ejpam-4929	226	2	according	accord	VERB
ejpam-4929	226	3	to	to	ADP
ejpam-4929	226	4	fig	fig	NOUN
ejpam-4929	226	5	.	.	PUNCT
ejpam-4929	226	6	15	15	NUM
ejpam-4929	226	7	,	,	PUNCT
ejpam-4929	226	8	with	with	ADP
ejpam-4929	226	9	the	the	DET
ejpam-4929	226	10	addition	addition	NOUN
ejpam-4929	226	11	of	of	ADP
ejpam-4929	226	12	a	a	DET
ejpam-4929	226	13	ppf	ppf	PROPN
ejpam-4929	226	14	controller	controller	NOUN
ejpam-4929	226	15	,	,	PUNCT
ejpam-4929	226	16	energy	energy	NOUN
ejpam-4929	226	17	is	be	AUX
ejpam-4929	226	18	moved	move	VERB
ejpam-4929	226	19	from	from	ADP
ejpam-4929	226	20	the	the	DET
ejpam-4929	226	21	system	system	NOUN
ejpam-4929	226	22	before	before	ADP
ejpam-4929	226	23	control	control	NOUN
ejpam-4929	226	24	to	to	ADP
ejpam-4929	226	25	the	the	DET
ejpam-4929	226	26	system	system	NOUN
ejpam-4929	226	27	after	after	ADP
ejpam-4929	226	28	control	control	NOUN
ejpam-4929	226	29	and	and	CCONJ
ejpam-4929	226	30	the	the	DET
ejpam-4929	226	31	performance	performance	NOUN
ejpam-4929	226	32	of	of	ADP
ejpam-4929	226	33	ppf	ppf	PROPN
ejpam-4929	226	34	control	control	NOUN
ejpam-4929	226	35	is	be	AUX
ejpam-4929	226	36	more	more	ADV
ejpam-4929	226	37	effective	effective	ADJ
ejpam-4929	226	38	at	at	ADP
ejpam-4929	226	39	the	the	DET
ejpam-4929	226	40	primary	primary	ADJ
ejpam-4929	226	41	and	and	CCONJ
ejpam-4929	226	42	internal	internal	ADJ
ejpam-4929	226	43	resonance	resonance	NOUN
ejpam-4929	226	44	case	case	NOUN
ejpam-4929	226	45	ω1	ω1	PROPN
ejpam-4929	226	46	≊	≊	NUM
ejpam-4929	226	47	ω1	ω1	PROPN
ejpam-4929	226	48	≊	≊	NUM
ejpam-4929	226	49	ω2	ω2	ADJ
ejpam-4929	226	50	with	with	ADP
ejpam-4929	226	51	small	small	ADJ
ejpam-4929	226	52	values	value	NOUN
ejpam-4929	226	53	of	of	ADP
ejpam-4929	226	54	values	value	NOUN
ejpam-4929	226	55	ω1	ω1	PROPN
ejpam-4929	226	56	and	and	CCONJ
ejpam-4929	226	57	ω2	ω2	ADJ
ejpam-4929	226	58	.	.	PUNCT
ejpam-4929	226	59	a.	a.	NOUN
ejpam-4929	226	60	alsaadi	alsaadi	NOUN
ejpam-4929	226	61	,	,	PUNCT
ejpam-4929	226	62	y.	y.	PROPN
ejpam-4929	226	63	s.	s.	PROPN
ejpam-4929	226	64	hamed	hamed	PROPN
ejpam-4929	226	65	/	/	SYM
ejpam-4929	226	66	eur	eur	PROPN
ejpam-4929	226	67	.	.	PUNCT
ejpam-4929	227	1	j.	j.	PROPN
ejpam-4929	227	2	pure	pure	PROPN
ejpam-4929	227	3	appl	appl	PROPN
ejpam-4929	227	4	.	.	PROPN
ejpam-4929	227	5	math	math	PROPN
ejpam-4929	227	6	,	,	PUNCT
ejpam-4929	227	7	16	16	NUM
ejpam-4929	227	8	(	(	PUNCT
ejpam-4929	227	9	4	4	NUM
ejpam-4929	227	10	)	)	PUNCT
ejpam-4929	227	11	(	(	PUNCT
ejpam-4929	227	12	2023	2023	NUM
ejpam-4929	227	13	)	)	PUNCT
ejpam-4929	227	14	,	,	PUNCT
ejpam-4929	227	15	2703	2703	NUM
ejpam-4929	227	16	-	-	SYM
ejpam-4929	227	17	2728	2728	NUM
ejpam-4929	227	18	2717	2717	NUM
ejpam-4929	227	19	(	(	PUNCT
ejpam-4929	227	20	a	a	NOUN
ejpam-4929	227	21	)	)	PUNCT
ejpam-4929	227	22	(	(	PUNCT
ejpam-4929	227	23	b	b	X
ejpam-4929	227	24	)	)	PUNCT
ejpam-4929	227	25	figure	figure	NOUN
ejpam-4929	227	26	11	11	NUM
ejpam-4929	227	27	:	:	PUNCT
ejpam-4929	227	28	the	the	DET
ejpam-4929	227	29	owtt	owtt	NOUN
ejpam-4929	227	30	vibrations	vibration	VERB
ejpam-4929	227	31	before	before	ADP
ejpam-4929	227	32	control	control	NOUN
ejpam-4929	227	33	atβ1	atβ1	PROPN
ejpam-4929	227	34	=	=	SYM
ejpam-4929	227	35	0	0	NUM
ejpam-4929	227	36	,	,	PUNCT
ejpam-4929	227	37	β2	β2	NOUN
ejpam-4929	227	38	=	=	NOUN
ejpam-4929	227	39	0	0	NUM
ejpam-4929	227	40	,	,	PUNCT
ejpam-4929	227	41	ω1	ω1	X
ejpam-4929	227	42	=	=	PUNCT
ejpam-4929	227	43	1.26	1.26	NUM
ejpam-4929	227	44	(	(	PUNCT
ejpam-4929	227	45	a	a	X
ejpam-4929	227	46	)	)	PUNCT
ejpam-4929	227	47	all	all	PRON
ejpam-4929	227	48	-	-	PUNCT
ejpam-4929	227	49	round	round	NOUN
ejpam-4929	227	50	response	response	NOUN
ejpam-4929	227	51	,	,	PUNCT
ejpam-4929	227	52	(	(	PUNCT
ejpam-4929	227	53	b	b	X
ejpam-4929	227	54	)	)	PUNCT
ejpam-4929	227	55	last	last	ADJ
ejpam-4929	227	56	20	20	NUM
ejpam-4929	227	57	seconds	second	NOUN
ejpam-4929	227	58	of	of	ADP
ejpam-4929	227	59	the	the	DET
ejpam-4929	227	60	all	all	PRON
ejpam-4929	227	61	-	-	PUNCT
ejpam-4929	227	62	round	round	NOUN
ejpam-4929	227	63	response	response	NOUN
ejpam-4929	227	64	(	(	PUNCT
ejpam-4929	227	65	a	a	NOUN
ejpam-4929	227	66	)	)	PUNCT
ejpam-4929	227	67	(	(	PUNCT
ejpam-4929	227	68	b	b	X
ejpam-4929	227	69	)	)	PUNCT
ejpam-4929	227	70	figure	figure	NOUN
ejpam-4929	227	71	12	12	NUM
ejpam-4929	227	72	:	:	PUNCT
ejpam-4929	227	73	the	the	DET
ejpam-4929	227	74	owtt	owtt	PROPN
ejpam-4929	227	75	vibrations	vibration	VERB
ejpam-4929	227	76	after	after	ADP
ejpam-4929	227	77	control	control	NOUN
ejpam-4929	227	78	at	at	ADP
ejpam-4929	227	79	β1	β1	PROPN
ejpam-4929	227	80	=	=	SYM
ejpam-4929	227	81	5	5	NUM
ejpam-4929	227	82	,	,	PUNCT
ejpam-4929	227	83	β2	β2	NOUN
ejpam-4929	227	84	=	=	NOUN
ejpam-4929	227	85	0.5	0.5	NUM
ejpam-4929	227	86	,	,	PUNCT
ejpam-4929	227	87	ω1	ω1	PROPN
ejpam-4929	227	88	=	=	PUNCT
ejpam-4929	227	89	1.26	1.26	NUM
ejpam-4929	227	90	(	(	PUNCT
ejpam-4929	227	91	a	a	X
ejpam-4929	227	92	)	)	PUNCT
ejpam-4929	227	93	all	all	PRON
ejpam-4929	227	94	-	-	PUNCT
ejpam-4929	227	95	round	round	NOUN
ejpam-4929	227	96	response	response	NOUN
ejpam-4929	227	97	,	,	PUNCT
ejpam-4929	227	98	(	(	PUNCT
ejpam-4929	227	99	b	b	X
ejpam-4929	227	100	)	)	PUNCT
ejpam-4929	227	101	last	last	ADJ
ejpam-4929	227	102	20	20	NUM
ejpam-4929	227	103	seconds	second	NOUN
ejpam-4929	227	104	of	of	ADP
ejpam-4929	227	105	the	the	DET
ejpam-4929	227	106	all	all	PRON
ejpam-4929	227	107	-	-	PUNCT
ejpam-4929	227	108	round	round	NOUN
ejpam-4929	227	109	response	response	NOUN
ejpam-4929	227	110	a.	a.	NOUN
ejpam-4929	227	111	alsaadi	alsaadi	NOUN
ejpam-4929	227	112	,	,	PUNCT
ejpam-4929	227	113	y.	y.	PROPN
ejpam-4929	227	114	s.	s.	PROPN
ejpam-4929	227	115	hamed	hamed	PROPN
ejpam-4929	227	116	/	/	SYM
ejpam-4929	227	117	eur	eur	PROPN
ejpam-4929	227	118	.	.	PUNCT
ejpam-4929	228	1	j.	j.	PROPN
ejpam-4929	228	2	pure	pure	PROPN
ejpam-4929	228	3	appl	appl	PROPN
ejpam-4929	228	4	.	.	PROPN
ejpam-4929	228	5	math	math	PROPN
ejpam-4929	228	6	,	,	PUNCT
ejpam-4929	228	7	16	16	NUM
ejpam-4929	228	8	(	(	PUNCT
ejpam-4929	228	9	4	4	NUM
ejpam-4929	228	10	)	)	PUNCT
ejpam-4929	228	11	(	(	PUNCT
ejpam-4929	228	12	2023	2023	NUM
ejpam-4929	228	13	)	)	PUNCT
ejpam-4929	228	14	,	,	PUNCT
ejpam-4929	228	15	2703	2703	NUM
ejpam-4929	228	16	-	-	SYM
ejpam-4929	228	17	2728	2728	NUM
ejpam-4929	228	18	2718	2718	NUM
ejpam-4929	228	19	(	(	PUNCT
ejpam-4929	228	20	a	a	NOUN
ejpam-4929	228	21	)	)	PUNCT
ejpam-4929	228	22	(	(	PUNCT
ejpam-4929	228	23	b	b	X
ejpam-4929	228	24	)	)	PUNCT
ejpam-4929	228	25	figure	figure	NOUN
ejpam-4929	228	26	13	13	NUM
ejpam-4929	228	27	:	:	PUNCT
ejpam-4929	228	28	the	the	DET
ejpam-4929	228	29	owtt	owtt	PROPN
ejpam-4929	228	30	vibrations	vibration	VERB
ejpam-4929	228	31	after	after	ADP
ejpam-4929	228	32	control	control	NOUN
ejpam-4929	228	33	at	at	ADP
ejpam-4929	228	34	β1	β1	PROPN
ejpam-4929	228	35	=	=	SYM
ejpam-4929	228	36	5	5	NUM
ejpam-4929	228	37	,	,	PUNCT
ejpam-4929	228	38	β2	β2	NOUN
ejpam-4929	228	39	=	=	NOUN
ejpam-4929	228	40	0.05	0.05	NUM
ejpam-4929	228	41	,	,	PUNCT
ejpam-4929	228	42	ω1	ω1	PROPN
ejpam-4929	228	43	=	=	PUNCT
ejpam-4929	228	44	1.26	1.26	NUM
ejpam-4929	228	45	(	(	PUNCT
ejpam-4929	228	46	a	a	PRON
ejpam-4929	228	47	)	)	PUNCT
ejpam-4929	228	48	allround	allround	ADJ
ejpam-4929	228	49	response	response	NOUN
ejpam-4929	228	50	,	,	PUNCT
ejpam-4929	228	51	(	(	PUNCT
ejpam-4929	228	52	b	b	X
ejpam-4929	228	53	)	)	PUNCT
ejpam-4929	228	54	last	last	ADJ
ejpam-4929	228	55	20	20	NUM
ejpam-4929	228	56	seconds	second	NOUN
ejpam-4929	228	57	of	of	ADP
ejpam-4929	228	58	the	the	DET
ejpam-4929	228	59	all	all	PRON
ejpam-4929	228	60	-	-	PUNCT
ejpam-4929	228	61	round	round	NOUN
ejpam-4929	228	62	response	response	NOUN
ejpam-4929	228	63	(	(	PUNCT
ejpam-4929	228	64	a	a	NOUN
ejpam-4929	228	65	)	)	PUNCT
ejpam-4929	228	66	(	(	PUNCT
ejpam-4929	228	67	b	b	X
ejpam-4929	228	68	)	)	PUNCT
ejpam-4929	228	69	figure	figure	NOUN
ejpam-4929	228	70	14	14	NUM
ejpam-4929	228	71	:	:	PUNCT
ejpam-4929	228	72	the	the	DET
ejpam-4929	228	73	owtt	owtt	PROPN
ejpam-4929	228	74	vibrations	vibration	VERB
ejpam-4929	228	75	after	after	ADP
ejpam-4929	228	76	control	control	NOUN
ejpam-4929	228	77	at	at	ADP
ejpam-4929	228	78	β1	β1	PROPN
ejpam-4929	228	79	=	=	SYM
ejpam-4929	228	80	5	5	NUM
ejpam-4929	228	81	,	,	PUNCT
ejpam-4929	228	82	β2	β2	NOUN
ejpam-4929	228	83	=	=	NOUN
ejpam-4929	228	84	0.5	0.5	NUM
ejpam-4929	228	85	,	,	PUNCT
ejpam-4929	228	86	ω1	ω1	PROPN
ejpam-4929	228	87	=	=	SYM
ejpam-4929	228	88	2.01	2.01	NUM
ejpam-4929	228	89	(	(	PUNCT
ejpam-4929	228	90	a	a	NOUN
ejpam-4929	228	91	)	)	PUNCT
ejpam-4929	228	92	all	all	PRON
ejpam-4929	228	93	-	-	PUNCT
ejpam-4929	228	94	round	round	NOUN
ejpam-4929	228	95	response	response	NOUN
ejpam-4929	228	96	,	,	PUNCT
ejpam-4929	228	97	(	(	PUNCT
ejpam-4929	228	98	b	b	X
ejpam-4929	228	99	)	)	PUNCT
ejpam-4929	228	100	last	last	ADJ
ejpam-4929	228	101	20	20	NUM
ejpam-4929	228	102	seconds	second	NOUN
ejpam-4929	228	103	of	of	ADP
ejpam-4929	228	104	the	the	DET
ejpam-4929	228	105	all	all	PRON
ejpam-4929	228	106	-	-	PUNCT
ejpam-4929	228	107	round	round	NOUN
ejpam-4929	228	108	response	response	NOUN
ejpam-4929	228	109	a.	a.	NOUN
ejpam-4929	228	110	alsaadi	alsaadi	NOUN
ejpam-4929	228	111	,	,	PUNCT
ejpam-4929	228	112	y.	y.	PROPN
ejpam-4929	228	113	s.	s.	PROPN
ejpam-4929	228	114	hamed	hamed	PROPN
ejpam-4929	228	115	/	/	SYM
ejpam-4929	228	116	eur	eur	PROPN
ejpam-4929	228	117	.	.	PUNCT
ejpam-4929	229	1	j.	j.	PROPN
ejpam-4929	229	2	pure	pure	PROPN
ejpam-4929	229	3	appl	appl	PROPN
ejpam-4929	229	4	.	.	PROPN
ejpam-4929	229	5	math	math	PROPN
ejpam-4929	229	6	,	,	PUNCT
ejpam-4929	229	7	16	16	NUM
ejpam-4929	229	8	(	(	PUNCT
ejpam-4929	229	9	4	4	NUM
ejpam-4929	229	10	)	)	PUNCT
ejpam-4929	229	11	(	(	PUNCT
ejpam-4929	229	12	2023	2023	NUM
ejpam-4929	229	13	)	)	PUNCT
ejpam-4929	229	14	,	,	PUNCT
ejpam-4929	229	15	2703	2703	NUM
ejpam-4929	229	16	-	-	SYM
ejpam-4929	229	17	2728	2728	NUM
ejpam-4929	229	18	2719	2719	NUM
ejpam-4929	229	19	figure	figure	NOUN
ejpam-4929	229	20	15	15	NUM
ejpam-4929	229	21	:	:	PUNCT
ejpam-4929	229	22	energy	energy	NOUN
ejpam-4929	229	23	flow	flow	NOUN
ejpam-4929	229	24	between	between	ADP
ejpam-4929	229	25	uncontrolled	uncontrolled	ADJ
ejpam-4929	229	26	and	and	CCONJ
ejpam-4929	229	27	controlled	control	VERB
ejpam-4929	229	28	systems	system	NOUN
ejpam-4929	229	29	occurs	occur	VERB
ejpam-4929	229	30	at	at	ADP
ejpam-4929	229	31	ω1	ω1	PROPN
ejpam-4929	229	32	=	=	SYM
ejpam-4929	229	33	ω1	ω1	PROPN
ejpam-4929	229	34	=	=	SYM
ejpam-4929	229	35	ω2	ω2	PROPN
ejpam-4929	229	36	=	=	SYM
ejpam-4929	229	37	1.26	1.26	NUM
ejpam-4929	229	38	6.1	6.1	NUM
ejpam-4929	229	39	.	.	PUNCT
ejpam-4929	230	1	comparison	comparison	NOUN
ejpam-4929	230	2	of	of	ADP
ejpam-4929	230	3	analytical	analytical	ADJ
ejpam-4929	230	4	and	and	CCONJ
ejpam-4929	230	5	numerical	numerical	ADJ
ejpam-4929	230	6	simulation	simulation	NOUN
ejpam-4929	230	7	as	as	SCONJ
ejpam-4929	230	8	illustrated	illustrate	VERB
ejpam-4929	230	9	in	in	ADP
ejpam-4929	230	10	figures	figure	NOUN
ejpam-4929	230	11	16	16	NUM
ejpam-4929	230	12	and	and	CCONJ
ejpam-4929	230	13	17	17	NUM
ejpam-4929	230	14	,	,	PUNCT
ejpam-4929	230	15	this	this	DET
ejpam-4929	230	16	subsection	subsection	NOUN
ejpam-4929	230	17	compares	compare	VERB
ejpam-4929	230	18	numerical	numerical	ADJ
ejpam-4929	230	19	simulation	simulation	NOUN
ejpam-4929	230	20	for	for	ADP
ejpam-4929	230	21	the	the	DET
ejpam-4929	230	22	controlled	control	VERB
ejpam-4929	230	23	system	system	NOUN
ejpam-4929	230	24	of	of	ADP
ejpam-4929	230	25	equation	equation	NOUN
ejpam-4929	230	26	(	(	PUNCT
ejpam-4929	230	27	2	2	NUM
ejpam-4929	230	28	)	)	PUNCT
ejpam-4929	230	29	with	with	ADP
ejpam-4929	230	30	perturbation	perturbation	NOUN
ejpam-4929	230	31	solutions	solution	NOUN
ejpam-4929	230	32	of	of	ADP
ejpam-4929	230	33	equations	equation	NOUN
ejpam-4929	230	34	(	(	PUNCT
ejpam-4929	230	35	17	17	NUM
ejpam-4929	230	36	)	)	PUNCT
ejpam-4929	230	37	and	and	CCONJ
ejpam-4929	230	38	(	(	PUNCT
ejpam-4929	230	39	18	18	NUM
ejpam-4929	230	40	)	)	PUNCT
ejpam-4929	230	41	at	at	ADP
ejpam-4929	230	42	various	various	ADJ
ejpam-4929	230	43	values	value	NOUN
ejpam-4929	230	44	of	of	ADP
ejpam-4929	230	45	the	the	DET
ejpam-4929	230	46	controller	controller	NOUN
ejpam-4929	230	47	values	value	VERB
ejpam-4929	230	48	β1	β1	PROPN
ejpam-4929	230	49	and	and	CCONJ
ejpam-4929	230	50	β2	β2	NOUN
ejpam-4929	230	51	at	at	ADP
ejpam-4929	230	52	primary	primary	ADJ
ejpam-4929	230	53	and	and	CCONJ
ejpam-4929	230	54	internal	internal	ADJ
ejpam-4929	230	55	resonance	resonance	NOUN
ejpam-4929	230	56	ω1	ω1	PROPN
ejpam-4929	230	57	=	=	SYM
ejpam-4929	230	58	ω1	ω1	PROPN
ejpam-4929	230	59	=	=	PUNCT
ejpam-4929	230	60	ω2	ω2	PROPN
ejpam-4929	230	61	.	.	PUNCT
ejpam-4929	231	1	while	while	SCONJ
ejpam-4929	231	2	the	the	DET
ejpam-4929	231	3	blue	blue	ADJ
ejpam-4929	231	4	line	line	NOUN
ejpam-4929	231	5	denotes	denote	VERB
ejpam-4929	231	6	numerical	numerical	ADJ
ejpam-4929	231	7	integration	integration	PROPN
ejpam-4929	231	8	,	,	PUNCT
ejpam-4929	231	9	the	the	DET
ejpam-4929	231	10	red	red	ADJ
ejpam-4929	231	11	line	line	NOUN
ejpam-4929	231	12	represents	represent	VERB
ejpam-4929	231	13	the	the	DET
ejpam-4929	231	14	perturbation	perturbation	NOUN
ejpam-4929	231	15	solution	solution	NOUN
ejpam-4929	231	16	.	.	PUNCT
ejpam-4929	232	1	these	these	DET
ejpam-4929	232	2	graphs	graph	NOUN
ejpam-4929	232	3	show	show	VERB
ejpam-4929	232	4	good	good	ADJ
ejpam-4929	232	5	agreement	agreement	NOUN
ejpam-4929	232	6	between	between	ADP
ejpam-4929	232	7	the	the	DET
ejpam-4929	232	8	analytical	analytical	ADJ
ejpam-4929	232	9	and	and	CCONJ
ejpam-4929	232	10	numerical	numerical	PROPN
ejpam-4929	232	11	simulation	simulation	NOUN
ejpam-4929	232	12	results	result	VERB
ejpam-4929	232	13	.	.	PUNCT
ejpam-4929	233	1	figs	fig	NOUN
ejpam-4929	233	2	.	.	PUNCT
ejpam-4929	234	1	17(a	17(a	NUM
ejpam-4929	234	2	)	)	PUNCT
ejpam-4929	234	3	and	and	CCONJ
ejpam-4929	234	4	18(a	18(a	NUM
ejpam-4929	234	5	)	)	PUNCT
ejpam-4929	234	6	represent	represent	VERB
ejpam-4929	234	7	the	the	DET
ejpam-4929	234	8	system	system	NOUN
ejpam-4929	234	9	response	response	NOUN
ejpam-4929	234	10	after	after	ADP
ejpam-4929	234	11	control	control	NOUN
ejpam-4929	234	12	,	,	PUNCT
ejpam-4929	234	13	but	but	CCONJ
ejpam-4929	234	14	figs	fig	NOUN
ejpam-4929	234	15	.	.	PUNCT
ejpam-4929	235	1	17(b	17(b	NUM
ejpam-4929	235	2	)	)	PUNCT
ejpam-4929	235	3	and	and	CCONJ
ejpam-4929	235	4	18(b	18(b	NUM
ejpam-4929	235	5	)	)	PUNCT
ejpam-4929	235	6	represent	represent	VERB
ejpam-4929	235	7	the	the	DET
ejpam-4929	235	8	controller	controller	NOUN
ejpam-4929	235	9	response	response	NOUN
ejpam-4929	235	10	.	.	PUNCT
ejpam-4929	236	1	a.	a.	NOUN
ejpam-4929	236	2	alsaadi	alsaadi	NOUN
ejpam-4929	236	3	,	,	PUNCT
ejpam-4929	236	4	y.	y.	PROPN
ejpam-4929	236	5	s.	s.	PROPN
ejpam-4929	236	6	hamed	hamed	PROPN
ejpam-4929	236	7	/	/	SYM
ejpam-4929	236	8	eur	eur	PROPN
ejpam-4929	236	9	.	.	PUNCT
ejpam-4929	237	1	j.	j.	PROPN
ejpam-4929	237	2	pure	pure	PROPN
ejpam-4929	237	3	appl	appl	PROPN
ejpam-4929	237	4	.	.	PROPN
ejpam-4929	237	5	math	math	PROPN
ejpam-4929	237	6	,	,	PUNCT
ejpam-4929	237	7	16	16	NUM
ejpam-4929	237	8	(	(	PUNCT
ejpam-4929	237	9	4	4	NUM
ejpam-4929	237	10	)	)	PUNCT
ejpam-4929	237	11	(	(	PUNCT
ejpam-4929	237	12	2023	2023	NUM
ejpam-4929	237	13	)	)	PUNCT
ejpam-4929	237	14	,	,	PUNCT
ejpam-4929	237	15	2703	2703	NUM
ejpam-4929	237	16	-	-	SYM
ejpam-4929	237	17	2728	2728	NUM
ejpam-4929	237	18	2720	2720	NUM
ejpam-4929	237	19	(	(	PUNCT
ejpam-4929	237	20	a	a	NOUN
ejpam-4929	237	21	)	)	PUNCT
ejpam-4929	237	22	(	(	PUNCT
ejpam-4929	237	23	b	b	X
ejpam-4929	237	24	)	)	PUNCT
ejpam-4929	237	25	figure	figure	NOUN
ejpam-4929	237	26	16	16	NUM
ejpam-4929	237	27	:	:	PUNCT
ejpam-4929	237	28	comparison	comparison	NOUN
ejpam-4929	237	29	of	of	ADP
ejpam-4929	237	30	the	the	DET
ejpam-4929	237	31	controlled	control	VERB
ejpam-4929	237	32	system	system	NOUN
ejpam-4929	237	33	’s	’s	PART
ejpam-4929	237	34	analytical	analytical	ADJ
ejpam-4929	237	35	and	and	CCONJ
ejpam-4929	237	36	numerical	numerical	ADJ
ejpam-4929	237	37	simulations	simulation	NOUN
ejpam-4929	237	38	at	at	ADP
ejpam-4929	237	39	β1	β1	PROPN
ejpam-4929	237	40	=	=	SYM
ejpam-4929	237	41	5	5	NUM
ejpam-4929	237	42	,	,	PUNCT
ejpam-4929	237	43	β2	β2	NOUN
ejpam-4929	237	44	=	=	NOUN
ejpam-4929	237	45	0.5	0.5	NUM
ejpam-4929	237	46	,	,	PUNCT
ejpam-4929	237	47	ω1	ω1	PROPN
ejpam-4929	237	48	=	=	PUNCT
ejpam-4929	237	49	1.26	1.26	NUM
ejpam-4929	237	50	(	(	PUNCT
ejpam-4929	237	51	a	a	PRON
ejpam-4929	237	52	)	)	PUNCT
ejpam-4929	237	53	system	system	NOUN
ejpam-4929	237	54	response	response	NOUN
ejpam-4929	237	55	,	,	PUNCT
ejpam-4929	237	56	(	(	PUNCT
ejpam-4929	237	57	b	b	X
ejpam-4929	237	58	)	)	PUNCT
ejpam-4929	237	59	control	control	NOUN
ejpam-4929	237	60	response	response	NOUN
ejpam-4929	237	61	.	.	PUNCT
ejpam-4929	238	1	a.	a.	NOUN
ejpam-4929	238	2	alsaadi	alsaadi	NOUN
ejpam-4929	238	3	,	,	PUNCT
ejpam-4929	238	4	y.	y.	PROPN
ejpam-4929	238	5	s.	s.	PROPN
ejpam-4929	238	6	hamed	hamed	PROPN
ejpam-4929	238	7	/	/	SYM
ejpam-4929	238	8	eur	eur	PROPN
ejpam-4929	238	9	.	.	PUNCT
ejpam-4929	239	1	j.	j.	PROPN
ejpam-4929	239	2	pure	pure	PROPN
ejpam-4929	239	3	appl	appl	PROPN
ejpam-4929	239	4	.	.	PROPN
ejpam-4929	239	5	math	math	PROPN
ejpam-4929	239	6	,	,	PUNCT
ejpam-4929	239	7	16	16	NUM
ejpam-4929	239	8	(	(	PUNCT
ejpam-4929	239	9	4	4	NUM
ejpam-4929	239	10	)	)	PUNCT
ejpam-4929	239	11	(	(	PUNCT
ejpam-4929	239	12	2023	2023	NUM
ejpam-4929	239	13	)	)	PUNCT
ejpam-4929	239	14	,	,	PUNCT
ejpam-4929	239	15	2703	2703	NUM
ejpam-4929	239	16	-	-	SYM
ejpam-4929	239	17	2728	2728	NUM
ejpam-4929	239	18	2721	2721	NUM
ejpam-4929	239	19	(	(	PUNCT
ejpam-4929	239	20	a	a	NOUN
ejpam-4929	239	21	)	)	PUNCT
ejpam-4929	239	22	(	(	PUNCT
ejpam-4929	239	23	b	b	X
ejpam-4929	239	24	)	)	PUNCT
ejpam-4929	239	25	figure	figure	NOUN
ejpam-4929	239	26	17	17	NUM
ejpam-4929	239	27	:	:	PUNCT
ejpam-4929	239	28	comparison	comparison	NOUN
ejpam-4929	239	29	of	of	ADP
ejpam-4929	239	30	the	the	DET
ejpam-4929	239	31	controlled	control	VERB
ejpam-4929	239	32	system	system	NOUN
ejpam-4929	239	33	’s	’s	PART
ejpam-4929	239	34	analytical	analytical	ADJ
ejpam-4929	239	35	and	and	CCONJ
ejpam-4929	239	36	numerical	numerical	ADJ
ejpam-4929	239	37	simulations	simulation	NOUN
ejpam-4929	239	38	at	at	ADP
ejpam-4929	239	39	β1	β1	PROPN
ejpam-4929	239	40	=	=	SYM
ejpam-4929	239	41	5	5	NUM
ejpam-4929	239	42	,	,	PUNCT
ejpam-4929	239	43	β2	β2	NOUN
ejpam-4929	239	44	=	=	NOUN
ejpam-4929	239	45	0.05	0.05	NUM
ejpam-4929	239	46	,	,	PUNCT
ejpam-4929	239	47	ω1	ω1	PROPN
ejpam-4929	239	48	=	=	PUNCT
ejpam-4929	239	49	1.26	1.26	NUM
ejpam-4929	239	50	(	(	PUNCT
ejpam-4929	239	51	a	a	PRON
ejpam-4929	239	52	)	)	PUNCT
ejpam-4929	239	53	system	system	NOUN
ejpam-4929	239	54	response	response	NOUN
ejpam-4929	239	55	,	,	PUNCT
ejpam-4929	239	56	(	(	PUNCT
ejpam-4929	239	57	b	b	X
ejpam-4929	239	58	)	)	PUNCT
ejpam-4929	239	59	control	control	NOUN
ejpam-4929	239	60	response	response	NOUN
ejpam-4929	239	61	.	.	PUNCT
ejpam-4929	240	1	6.2	6.2	NUM
ejpam-4929	240	2	.	.	PUNCT
ejpam-4929	241	1	the	the	DET
ejpam-4929	241	2	poincaré	poincaré	ADJ
ejpam-4929	241	3	maps	map	VERB
ejpam-4929	241	4	this	this	DET
ejpam-4929	241	5	section	section	NOUN
ejpam-4929	241	6	examines	examine	VERB
ejpam-4929	241	7	stability	stability	NOUN
ejpam-4929	241	8	and	and	CCONJ
ejpam-4929	241	9	uses	use	VERB
ejpam-4929	241	10	poincaré	poincaré	ADJ
ejpam-4929	241	11	maps	map	NOUN
ejpam-4929	241	12	to	to	PART
ejpam-4929	241	13	plot	plot	NOUN
ejpam-4929	241	14	bifurcation	bifurcation	NOUN
ejpam-4929	241	15	diagrams	diagram	NOUN
ejpam-4929	241	16	.	.	PUNCT
ejpam-4929	242	1	these	these	DET
ejpam-4929	242	2	maps	map	NOUN
ejpam-4929	242	3	are	be	AUX
ejpam-4929	242	4	used	use	VERB
ejpam-4929	242	5	to	to	PART
ejpam-4929	242	6	transform	transform	VERB
ejpam-4929	242	7	the	the	DET
ejpam-4929	242	8	complex	complex	ADJ
ejpam-4929	242	9	response	response	NOUN
ejpam-4929	242	10	in	in	ADP
ejpam-4929	242	11	phase	phase	NOUN
ejpam-4929	242	12	space	space	NOUN
ejpam-4929	242	13	to	to	ADP
ejpam-4929	242	14	a	a	DET
ejpam-4929	242	15	discrete	discrete	ADJ
ejpam-4929	242	16	map	map	NOUN
ejpam-4929	242	17	in	in	ADP
ejpam-4929	242	18	the	the	DET
ejpam-4929	242	19	lower	low	ADJ
ejpam-4929	242	20	dimensional	dimensional	ADJ
ejpam-4929	242	21	space	space	NOUN
ejpam-4929	242	22	.	.	PUNCT
ejpam-4929	243	1	figures	figure	NOUN
ejpam-4929	243	2	18	18	NUM
ejpam-4929	243	3	and	and	CCONJ
ejpam-4929	243	4	19	19	NUM
ejpam-4929	243	5	analyzed	analyze	VERB
ejpam-4929	243	6	the	the	DET
ejpam-4929	243	7	wind	wind	NOUN
ejpam-4929	243	8	turbine	turbine	NOUN
ejpam-4929	243	9	behavior	behavior	NOUN
ejpam-4929	243	10	under	under	ADP
ejpam-4929	243	11	the	the	DET
ejpam-4929	243	12	simultaneous	simultaneous	ADJ
ejpam-4929	243	13	primary	primary	ADJ
ejpam-4929	243	14	and	and	CCONJ
ejpam-4929	243	15	internal	internal	ADJ
ejpam-4929	243	16	resonance	resonance	NOUN
ejpam-4929	243	17	case	case	NOUN
ejpam-4929	243	18	ω1	ω1	PROPN
ejpam-4929	243	19	≊	≊	NUM
ejpam-4929	243	20	ω1	ω1	PROPN
ejpam-4929	243	21	,	,	PUNCT
ejpam-4929	243	22	ω1	ω1	PROPN
ejpam-4929	243	23	≊	≊	PUNCT
ejpam-4929	243	24	ω2	ω2	ADJ
ejpam-4929	243	25	using	use	VERB
ejpam-4929	243	26	different	different	ADJ
ejpam-4929	243	27	values	value	NOUN
ejpam-4929	243	28	of	of	ADP
ejpam-4929	243	29	control	control	NOUN
ejpam-4929	243	30	unit	unit	NOUN
ejpam-4929	243	31	parameters	parameter	NOUN
ejpam-4929	243	32	β1	β1	PROPN
ejpam-4929	243	33	,	,	PUNCT
ejpam-4929	243	34	β2	β2	VERB
ejpam-4929	243	35	with	with	ADP
ejpam-4929	243	36	response	response	NOUN
ejpam-4929	243	37	and	and	CCONJ
ejpam-4929	243	38	poincaré	poincaré	ADJ
ejpam-4929	243	39	map	map	NOUN
ejpam-4929	243	40	,	,	PUNCT
ejpam-4929	243	41	respectively	respectively	ADV
ejpam-4929	243	42	.	.	PUNCT
ejpam-4929	244	1	figure	figure	NOUN
ejpam-4929	244	2	18(a	18(a	NUM
ejpam-4929	244	3	,	,	PUNCT
ejpam-4929	244	4	b	b	X
ejpam-4929	244	5	)	)	PUNCT
ejpam-4929	244	6	demonstrates	demonstrate	VERB
ejpam-4929	244	7	how	how	SCONJ
ejpam-4929	244	8	the	the	DET
ejpam-4929	244	9	system	system	NOUN
ejpam-4929	244	10	begins	begin	VERB
ejpam-4929	244	11	with	with	ADP
ejpam-4929	244	12	a	a	DET
ejpam-4929	244	13	chaotic	chaotic	ADJ
ejpam-4929	244	14	reaction	reaction	NOUN
ejpam-4929	244	15	before	before	ADP
ejpam-4929	244	16	stabilizing	stabilize	VERB
ejpam-4929	244	17	and	and	CCONJ
ejpam-4929	244	18	exhibiting	exhibit	VERB
ejpam-4929	244	19	periodic	periodic	ADJ
ejpam-4929	244	20	motion	motion	NOUN
ejpam-4929	244	21	on	on	ADP
ejpam-4929	244	22	poincare	poincare	PROPN
ejpam-4929	244	23	’s	’s	PART
ejpam-4929	244	24	maps	map	NOUN
ejpam-4929	244	25	at	at	ADP
ejpam-4929	244	26	β1	β1	PROPN
ejpam-4929	244	27	=	=	SYM
ejpam-4929	244	28	0	0	PROPN
ejpam-4929	244	29	,	,	PUNCT
ejpam-4929	244	30	β2	β2	NOUN
ejpam-4929	244	31	=	=	NOUN
ejpam-4929	244	32	0	0	NUM
ejpam-4929	244	33	.	.	PUNCT
ejpam-4929	245	1	the	the	DET
ejpam-4929	245	2	controlled	control	VERB
ejpam-4929	245	3	system	system	NOUN
ejpam-4929	245	4	has	have	VERB
ejpam-4929	245	5	a	a	DET
ejpam-4929	245	6	quasi	quasi	ADJ
ejpam-4929	245	7	-	-	ADJ
ejpam-4929	245	8	periodic	periodic	ADJ
ejpam-4929	245	9	motion	motion	NOUN
ejpam-4929	245	10	at	at	ADP
ejpam-4929	245	11	β1	β1	PROPN
ejpam-4929	245	12	=	=	SYM
ejpam-4929	245	13	5	5	NUM
ejpam-4929	245	14	,	,	PUNCT
ejpam-4929	245	15	β2	β2	NOUN
ejpam-4929	245	16	=	=	NOUN
ejpam-4929	245	17	0.5	0.5	NUM
ejpam-4929	245	18	,	,	PUNCT
ejpam-4929	245	19	as	as	SCONJ
ejpam-4929	245	20	depicted	depict	VERB
ejpam-4929	245	21	in	in	ADP
ejpam-4929	245	22	figure	figure	NOUN
ejpam-4929	245	23	19(a	19(a	NUM
ejpam-4929	245	24	,	,	PUNCT
ejpam-4929	245	25	b	b	NOUN
ejpam-4929	245	26	)	)	PUNCT
ejpam-4929	245	27	.	.	PUNCT
ejpam-4929	246	1	a.	a.	NOUN
ejpam-4929	246	2	alsaadi	alsaadi	NOUN
ejpam-4929	246	3	,	,	PUNCT
ejpam-4929	246	4	y.	y.	PROPN
ejpam-4929	246	5	s.	s.	PROPN
ejpam-4929	246	6	hamed	hamed	PROPN
ejpam-4929	246	7	/	/	SYM
ejpam-4929	246	8	eur	eur	PROPN
ejpam-4929	246	9	.	.	PUNCT
ejpam-4929	247	1	j.	j.	PROPN
ejpam-4929	247	2	pure	pure	PROPN
ejpam-4929	247	3	appl	appl	PROPN
ejpam-4929	247	4	.	.	PROPN
ejpam-4929	247	5	math	math	PROPN
ejpam-4929	247	6	,	,	PUNCT
ejpam-4929	247	7	16	16	NUM
ejpam-4929	247	8	(	(	PUNCT
ejpam-4929	247	9	4	4	NUM
ejpam-4929	247	10	)	)	PUNCT
ejpam-4929	247	11	(	(	PUNCT
ejpam-4929	247	12	2023	2023	NUM
ejpam-4929	247	13	)	)	PUNCT
ejpam-4929	247	14	,	,	PUNCT
ejpam-4929	247	15	2703	2703	NUM
ejpam-4929	247	16	-	-	SYM
ejpam-4929	247	17	2728	2728	NUM
ejpam-4929	247	18	2722	2722	NUM
ejpam-4929	247	19	(	(	PUNCT
ejpam-4929	247	20	a	a	NOUN
ejpam-4929	247	21	)	)	PUNCT
ejpam-4929	247	22	(	(	PUNCT
ejpam-4929	247	23	b	b	X
ejpam-4929	247	24	)	)	PUNCT
ejpam-4929	247	25	figure	figure	NOUN
ejpam-4929	247	26	18	18	NUM
ejpam-4929	247	27	:	:	PUNCT
ejpam-4929	247	28	(	(	PUNCT
ejpam-4929	247	29	a)time	a)time	PROPN
ejpam-4929	247	30	responses	response	NOUN
ejpam-4929	247	31	of	of	ADP
ejpam-4929	247	32	the	the	DET
ejpam-4929	247	33	system	system	NOUN
ejpam-4929	247	34	before	before	ADP
ejpam-4929	247	35	control	control	NOUN
ejpam-4929	247	36	,	,	PUNCT
ejpam-4929	247	37	(	(	PUNCT
ejpam-4929	247	38	b	b	NOUN
ejpam-4929	247	39	)	)	PUNCT
ejpam-4929	247	40	poincare	poincare	PROPN
ejpam-4929	247	41	´	´	PROPN
ejpam-4929	247	42	maps	map	NOUN
ejpam-4929	247	43	of	of	ADP
ejpam-4929	247	44	the	the	DET
ejpam-4929	247	45	system	system	NOUN
ejpam-4929	247	46	before	before	ADP
ejpam-4929	247	47	control	control	NOUN
ejpam-4929	247	48	at	at	ADP
ejpam-4929	247	49	β1	β1	PROPN
ejpam-4929	247	50	=	=	SYM
ejpam-4929	247	51	0	0	PROPN
ejpam-4929	247	52	,	,	PUNCT
ejpam-4929	247	53	β2	β2	NOUN
ejpam-4929	247	54	=	=	NOUN
ejpam-4929	247	55	0	0	NUM
ejpam-4929	247	56	,	,	PUNCT
ejpam-4929	247	57	ω1	ω1	X
ejpam-4929	247	58	=	=	PUNCT
ejpam-4929	247	59	1.26	1.26	NUM
ejpam-4929	247	60	,	,	PUNCT
ejpam-4929	247	61	σ1	σ1	NOUN
ejpam-4929	247	62	=	=	SYM
ejpam-4929	247	63	0	0	PROPN
ejpam-4929	247	64	,	,	PUNCT
ejpam-4929	247	65	σ2	σ2	NOUN
ejpam-4929	247	66	=	=	SYM
ejpam-4929	247	67	0	0	NUM
ejpam-4929	247	68	,	,	PUNCT
ejpam-4929	247	69	a.	a.	NOUN
ejpam-4929	247	70	alsaadi	alsaadi	NOUN
ejpam-4929	247	71	,	,	PUNCT
ejpam-4929	247	72	y.	y.	PROPN
ejpam-4929	247	73	s.	s.	PROPN
ejpam-4929	247	74	hamed	hamed	PROPN
ejpam-4929	247	75	/	/	SYM
ejpam-4929	247	76	eur	eur	PROPN
ejpam-4929	247	77	.	.	PUNCT
ejpam-4929	248	1	j.	j.	PROPN
ejpam-4929	248	2	pure	pure	PROPN
ejpam-4929	248	3	appl	appl	PROPN
ejpam-4929	248	4	.	.	PROPN
ejpam-4929	248	5	math	math	PROPN
ejpam-4929	248	6	,	,	PUNCT
ejpam-4929	248	7	16	16	NUM
ejpam-4929	248	8	(	(	PUNCT
ejpam-4929	248	9	4	4	NUM
ejpam-4929	248	10	)	)	PUNCT
ejpam-4929	248	11	(	(	PUNCT
ejpam-4929	248	12	2023	2023	NUM
ejpam-4929	248	13	)	)	PUNCT
ejpam-4929	248	14	,	,	PUNCT
ejpam-4929	248	15	2703	2703	NUM
ejpam-4929	248	16	-	-	SYM
ejpam-4929	248	17	2728	2728	NUM
ejpam-4929	248	18	2723	2723	NUM
ejpam-4929	248	19	(	(	PUNCT
ejpam-4929	248	20	a	a	NOUN
ejpam-4929	248	21	)	)	PUNCT
ejpam-4929	248	22	(	(	PUNCT
ejpam-4929	248	23	b	b	X
ejpam-4929	248	24	)	)	PUNCT
ejpam-4929	248	25	(	(	PUNCT
ejpam-4929	248	26	c	c	X
ejpam-4929	248	27	)	)	PUNCT
ejpam-4929	248	28	(	(	PUNCT
ejpam-4929	248	29	d	d	X
ejpam-4929	248	30	)	)	PUNCT
ejpam-4929	248	31	figure	figure	NOUN
ejpam-4929	248	32	19	19	NUM
ejpam-4929	248	33	:	:	PUNCT
ejpam-4929	248	34	(	(	PUNCT
ejpam-4929	248	35	a	a	X
ejpam-4929	248	36	)	)	PUNCT
ejpam-4929	248	37	time	time	NOUN
ejpam-4929	248	38	responses	response	NOUN
ejpam-4929	248	39	of	of	ADP
ejpam-4929	248	40	the	the	DET
ejpam-4929	248	41	system	system	NOUN
ejpam-4929	248	42	after	after	ADP
ejpam-4929	248	43	control	control	NOUN
ejpam-4929	248	44	(	(	PUNCT
ejpam-4929	248	45	b	b	NOUN
ejpam-4929	248	46	)	)	PUNCT
ejpam-4929	248	47	poincare	poincare	PROPN
ejpam-4929	248	48	´	´	PROPN
ejpam-4929	248	49	maps	map	NOUN
ejpam-4929	248	50	of	of	ADP
ejpam-4929	248	51	the	the	DET
ejpam-4929	248	52	system	system	NOUN
ejpam-4929	248	53	after	after	ADP
ejpam-4929	248	54	control	control	NOUN
ejpam-4929	248	55	(	(	PUNCT
ejpam-4929	248	56	c	c	NOUN
ejpam-4929	248	57	)	)	PUNCT
ejpam-4929	248	58	time	time	NOUN
ejpam-4929	248	59	responses	response	NOUN
ejpam-4929	248	60	of	of	ADP
ejpam-4929	248	61	the	the	DET
ejpam-4929	248	62	controller	controller	NOUN
ejpam-4929	248	63	(	(	PUNCT
ejpam-4929	248	64	d	d	NOUN
ejpam-4929	248	65	)	)	PUNCT
ejpam-4929	248	66	poincare	poincare	PROPN
ejpam-4929	248	67	´	´	PROPN
ejpam-4929	248	68	maps	map	NOUN
ejpam-4929	248	69	of	of	ADP
ejpam-4929	248	70	the	the	DET
ejpam-4929	248	71	controller	controller	NOUN
ejpam-4929	248	72	at	at	ADP
ejpam-4929	248	73	β1	β1	PROPN
ejpam-4929	248	74	=	=	SYM
ejpam-4929	248	75	5	5	NUM
ejpam-4929	248	76	,	,	PUNCT
ejpam-4929	248	77	β2	β2	NOUN
ejpam-4929	248	78	=	=	NOUN
ejpam-4929	248	79	0.5	0.5	NUM
ejpam-4929	248	80	,	,	PUNCT
ejpam-4929	248	81	ω1	ω1	PROPN
ejpam-4929	248	82	=	=	PUNCT
ejpam-4929	248	83	1.26	1.26	NUM
ejpam-4929	248	84	,	,	PUNCT
ejpam-4929	248	85	σ1	σ1	NOUN
ejpam-4929	248	86	=	=	SYM
ejpam-4929	248	87	0	0	PROPN
ejpam-4929	248	88	,	,	PUNCT
ejpam-4929	248	89	σ2	σ2	NOUN
ejpam-4929	248	90	=	=	SYM
ejpam-4929	248	91	0	0	NUM
ejpam-4929	248	92	.	.	NOUN
ejpam-4929	248	93	6.3	6.3	NUM
ejpam-4929	248	94	.	.	PUNCT
ejpam-4929	249	1	comparison	comparison	NOUN
ejpam-4929	249	2	with	with	ADP
ejpam-4929	249	3	published	publish	VERB
ejpam-4929	249	4	works	work	NOUN
ejpam-4929	249	5	in	in	ADP
ejpam-4929	249	6	comparison	comparison	NOUN
ejpam-4929	249	7	to	to	ADP
ejpam-4929	249	8	previous	previous	ADJ
ejpam-4929	249	9	studies	study	NOUN
ejpam-4929	249	10	,	,	PUNCT
ejpam-4929	249	11	dagli	dagli	PROPN
ejpam-4929	249	12	et	et	PROPN
ejpam-4929	249	13	al	al	PROPN
ejpam-4929	249	14	.	.	PUNCT
ejpam-4929	250	1	[	[	X
ejpam-4929	250	2	10	10	NUM
ejpam-4929	250	3	]	]	PUNCT
ejpam-4929	250	4	performed	perform	VERB
ejpam-4929	250	5	a	a	DET
ejpam-4929	250	6	dynamic	dynamic	ADJ
ejpam-4929	250	7	vibration	vibration	NOUN
ejpam-4929	250	8	analysis	analysis	NOUN
ejpam-4929	250	9	for	for	ADP
ejpam-4929	250	10	the	the	DET
ejpam-4929	250	11	single	single	ADJ
ejpam-4929	250	12	degree	degree	NOUN
ejpam-4929	250	13	of	of	ADP
ejpam-4929	250	14	freedom	freedom	NOUN
ejpam-4929	250	15	(	(	PUNCT
ejpam-4929	250	16	sdof	sdof	ADJ
ejpam-4929	250	17	)	)	PUNCT
ejpam-4929	250	18	equation	equation	NOUN
ejpam-4929	250	19	of	of	ADP
ejpam-4929	250	20	motion	motion	NOUN
ejpam-4929	250	21	using	use	VERB
ejpam-4929	250	22	rayleigh	rayleigh	PROPN
ejpam-4929	250	23	’s	’s	PART
ejpam-4929	250	24	energy	energy	NOUN
ejpam-4929	250	25	.	.	PUNCT
ejpam-4929	251	1	hamed	hamed	PROPN
ejpam-4929	251	2	et	et	PROPN
ejpam-4929	251	3	al	al	PROPN
ejpam-4929	251	4	.	.	PUNCT
ejpam-4929	252	1	[	[	X
ejpam-4929	252	2	12	12	NUM
ejpam-4929	252	3	]	]	PUNCT
ejpam-4929	252	4	used	use	VERB
ejpam-4929	252	5	an	an	DET
ejpam-4929	252	6	npd	npd	NOUN
ejpam-4929	252	7	controller	controller	NOUN
ejpam-4929	252	8	to	to	PART
ejpam-4929	252	9	suppress	suppress	VERB
ejpam-4929	252	10	the	the	DET
ejpam-4929	252	11	owtt	owtt	NOUN
ejpam-4929	252	12	system	system	NOUN
ejpam-4929	252	13	’s	’s	PART
ejpam-4929	252	14	behavior	behavior	NOUN
ejpam-4929	252	15	with	with	ADP
ejpam-4929	252	16	multiple	multiple	ADJ
ejpam-4929	252	17	external	external	ADJ
ejpam-4929	252	18	and	and	CCONJ
ejpam-4929	252	19	parametric	parametric	ADJ
ejpam-4929	252	20	excitation	excitation	NOUN
ejpam-4929	252	21	forces	force	NOUN
ejpam-4929	252	22	.	.	PUNCT
ejpam-4929	253	1	to	to	PART
ejpam-4929	253	2	analyze	analyze	VERB
ejpam-4929	253	3	the	the	DET
ejpam-4929	253	4	response	response	NOUN
ejpam-4929	253	5	and	and	CCONJ
ejpam-4929	253	6	stability	stability	NOUN
ejpam-4929	253	7	,	,	PUNCT
ejpam-4929	253	8	the	the	DET
ejpam-4929	253	9	averaging	averaging	NOUN
ejpam-4929	253	10	method	method	NOUN
ejpam-4929	253	11	is	be	AUX
ejpam-4929	253	12	used	use	VERB
ejpam-4929	253	13	.	.	PUNCT
ejpam-4929	254	1	the	the	DET
ejpam-4929	254	2	steady	steady	ADJ
ejpam-4929	254	3	oscillations	oscillation	NOUN
ejpam-4929	254	4	of	of	ADP
ejpam-4929	254	5	the	the	DET
ejpam-4929	254	6	wind	wind	NOUN
ejpam-4929	254	7	turbine	turbine	NOUN
ejpam-4929	254	8	had	have	AUX
ejpam-4929	254	9	been	be	AUX
ejpam-4929	254	10	reduced	reduce	VERB
ejpam-4929	254	11	from	from	ADP
ejpam-4929	254	12	their	their	PRON
ejpam-4929	254	13	former	former	ADJ
ejpam-4929	254	14	state	state	NOUN
ejpam-4929	254	15	by	by	ADP
ejpam-4929	254	16	about	about	ADV
ejpam-4929	254	17	91	91	NUM
ejpam-4929	254	18	and	and	CCONJ
ejpam-4929	254	19	the	the	DET
ejpam-4929	254	20	effectiveness	effectiveness	NOUN
ejpam-4929	254	21	of	of	ADP
ejpam-4929	254	22	control	control	NOUN
ejpam-4929	254	23	is	be	AUX
ejpam-4929	254	24	a.	a.	NOUN
ejpam-4929	254	25	alsaadi	alsaadi	NOUN
ejpam-4929	254	26	,	,	PUNCT
ejpam-4929	254	27	y.	y.	PROPN
ejpam-4929	254	28	s.	s.	PROPN
ejpam-4929	254	29	hamed	hamed	PROPN
ejpam-4929	254	30	/	/	SYM
ejpam-4929	254	31	eur	eur	PROPN
ejpam-4929	254	32	.	.	PUNCT
ejpam-4929	255	1	j.	j.	PROPN
ejpam-4929	255	2	pure	pure	PROPN
ejpam-4929	255	3	appl	appl	PROPN
ejpam-4929	255	4	.	.	PROPN
ejpam-4929	255	5	math	math	PROPN
ejpam-4929	255	6	,	,	PUNCT
ejpam-4929	255	7	16	16	NUM
ejpam-4929	255	8	(	(	PUNCT
ejpam-4929	255	9	4	4	NUM
ejpam-4929	255	10	)	)	PUNCT
ejpam-4929	255	11	(	(	PUNCT
ejpam-4929	255	12	2023	2023	NUM
ejpam-4929	255	13	)	)	PUNCT
ejpam-4929	255	14	,	,	PUNCT
ejpam-4929	255	15	2703	2703	NUM
ejpam-4929	255	16	-	-	SYM
ejpam-4929	255	17	2728	2728	NUM
ejpam-4929	255	18	2724	2724	NUM
ejpam-4929	255	19	ea=12	ea=12	VERB
ejpam-4929	255	20	.	.	PUNCT
ejpam-4929	256	1	with	with	ADP
ejpam-4929	256	2	this	this	DET
ejpam-4929	256	3	work	work	NOUN
ejpam-4929	256	4	,	,	PUNCT
ejpam-4929	256	5	the	the	DET
ejpam-4929	256	6	dynamics	dynamic	NOUN
ejpam-4929	256	7	behavior	behavior	NOUN
ejpam-4929	256	8	and	and	CCONJ
ejpam-4929	256	9	stability	stability	NOUN
ejpam-4929	256	10	of	of	ADP
ejpam-4929	256	11	the	the	DET
ejpam-4929	256	12	offshore	offshore	ADJ
ejpam-4929	256	13	wind	wind	NOUN
ejpam-4929	256	14	turbine	turbine	NOUN
ejpam-4929	256	15	system	system	NOUN
ejpam-4929	256	16	with	with	ADP
ejpam-4929	256	17	external	external	ADJ
ejpam-4929	256	18	excitation	excitation	NOUN
ejpam-4929	256	19	and	and	CCONJ
ejpam-4929	256	20	applying	apply	VERB
ejpam-4929	256	21	ppf	ppf	PROPN
ejpam-4929	256	22	controller	controller	NOUN
ejpam-4929	256	23	are	be	AUX
ejpam-4929	256	24	studied	study	VERB
ejpam-4929	256	25	.	.	PUNCT
ejpam-4929	257	1	the	the	DET
ejpam-4929	257	2	steady	steady	ADJ
ejpam-4929	257	3	oscillations	oscillation	NOUN
ejpam-4929	257	4	of	of	ADP
ejpam-4929	257	5	the	the	DET
ejpam-4929	257	6	wind	wind	NOUN
ejpam-4929	257	7	turbine	turbine	NOUN
ejpam-4929	257	8	had	have	AUX
ejpam-4929	257	9	been	be	AUX
ejpam-4929	257	10	reduced	reduce	VERB
ejpam-4929	257	11	from	from	ADP
ejpam-4929	257	12	their	their	PRON
ejpam-4929	257	13	former	former	ADJ
ejpam-4929	257	14	state	state	NOUN
ejpam-4929	257	15	by	by	ADP
ejpam-4929	257	16	about	about	ADV
ejpam-4929	257	17	98.5	98.5	NUM
ejpam-4929	257	18	and	and	CCONJ
ejpam-4929	257	19	the	the	DET
ejpam-4929	257	20	effectiveness	effectiveness	NOUN
ejpam-4929	257	21	of	of	ADP
ejpam-4929	257	22	control	control	NOUN
ejpam-4929	257	23	is	be	AUX
ejpam-4929	257	24	ea=72	ea=72	NOUN
ejpam-4929	257	25	.	.	PUNCT
ejpam-4929	258	1	7	7	X
ejpam-4929	258	2	.	.	X
ejpam-4929	258	3	concluding	conclude	VERB
ejpam-4929	258	4	remarks	remark	NOUN
ejpam-4929	258	5	this	this	DET
ejpam-4929	258	6	study	study	NOUN
ejpam-4929	258	7	proposed	propose	VERB
ejpam-4929	258	8	a	a	DET
ejpam-4929	258	9	ppf	ppf	PROPN
ejpam-4929	258	10	controller	controller	NOUN
ejpam-4929	258	11	to	to	PART
ejpam-4929	258	12	mitigate	mitigate	VERB
ejpam-4929	258	13	the	the	DET
ejpam-4929	258	14	offshore	offshore	ADJ
ejpam-4929	258	15	wind	wind	NOUN
ejpam-4929	258	16	turbine	turbine	NOUN
ejpam-4929	258	17	tower	tower	PROPN
ejpam-4929	258	18	model	model	PROPN
ejpam-4929	258	19	’s	’s	PART
ejpam-4929	258	20	nontrivial	nontrivial	ADJ
ejpam-4929	258	21	oscillations	oscillation	NOUN
ejpam-4929	258	22	.	.	PUNCT
ejpam-4929	259	1	using	use	VERB
ejpam-4929	259	2	the	the	DET
ejpam-4929	259	3	multiple	multiple	ADJ
ejpam-4929	259	4	time	time	NOUN
ejpam-4929	259	5	scale	scale	NOUN
ejpam-4929	259	6	method	method	NOUN
ejpam-4929	259	7	,	,	PUNCT
ejpam-4929	259	8	the	the	DET
ejpam-4929	259	9	equation	equation	NOUN
ejpam-4929	259	10	of	of	ADP
ejpam-4929	259	11	motion	motion	NOUN
ejpam-4929	259	12	has	have	AUX
ejpam-4929	259	13	been	be	AUX
ejpam-4929	259	14	approximately	approximately	ADV
ejpam-4929	259	15	solved	solve	VERB
ejpam-4929	259	16	.	.	PUNCT
ejpam-4929	260	1	using	use	VERB
ejpam-4929	260	2	the	the	DET
ejpam-4929	260	3	phase	phase	NOUN
ejpam-4929	260	4	plane	plane	NOUN
ejpam-4929	260	5	technique	technique	NOUN
ejpam-4929	260	6	,	,	PUNCT
ejpam-4929	260	7	frequency	frequency	NOUN
ejpam-4929	260	8	response	response	NOUN
ejpam-4929	260	9	equations	equation	NOUN
ejpam-4929	260	10	,	,	PUNCT
ejpam-4929	260	11	and	and	CCONJ
ejpam-4929	260	12	poincare	poincare	PROPN
ejpam-4929	260	13	maps	map	NOUN
ejpam-4929	260	14	,	,	PUNCT
ejpam-4929	260	15	the	the	DET
ejpam-4929	260	16	stability	stability	NOUN
ejpam-4929	260	17	at	at	ADP
ejpam-4929	260	18	worst	bad	ADJ
ejpam-4929	260	19	resonance	resonance	NOUN
ejpam-4929	260	20	cases	case	NOUN
ejpam-4929	260	21	will	will	AUX
ejpam-4929	260	22	be	be	AUX
ejpam-4929	260	23	checked	check	VERB
ejpam-4929	260	24	and	and	CCONJ
ejpam-4929	260	25	analyzed	analyze	VERB
ejpam-4929	260	26	.	.	PUNCT
ejpam-4929	261	1	the	the	DET
ejpam-4929	261	2	whole	whole	ADJ
ejpam-4929	261	3	work	work	NOUN
ejpam-4929	261	4	results	result	NOUN
ejpam-4929	261	5	can	can	AUX
ejpam-4929	261	6	be	be	AUX
ejpam-4929	261	7	summarized	summarize	VERB
ejpam-4929	261	8	as	as	SCONJ
ejpam-4929	261	9	follows	follow	VERB
ejpam-4929	261	10	:	:	PUNCT
ejpam-4929	261	11	1	1	X
ejpam-4929	261	12	.	.	PUNCT
ejpam-4929	262	1	before	before	ADP
ejpam-4929	262	2	control	control	NOUN
ejpam-4929	262	3	,	,	PUNCT
ejpam-4929	262	4	the	the	DET
ejpam-4929	262	5	wind	wind	NOUN
ejpam-4929	262	6	turbine	turbine	NOUN
ejpam-4929	262	7	caused	cause	VERB
ejpam-4929	262	8	strong	strong	ADJ
ejpam-4929	262	9	vibrations	vibration	NOUN
ejpam-4929	262	10	and	and	CCONJ
ejpam-4929	262	11	jumps	jump	VERB
ejpam-4929	262	12	due	due	ADP
ejpam-4929	262	13	to	to	ADP
ejpam-4929	262	14	the	the	DET
ejpam-4929	262	15	existence	existence	NOUN
ejpam-4929	262	16	of	of	ADP
ejpam-4929	262	17	bifurcation	bifurcation	NOUN
ejpam-4929	262	18	points	point	NOUN
ejpam-4929	262	19	.	.	PUNCT
ejpam-4929	263	1	after	after	ADP
ejpam-4929	263	2	control	control	NOUN
ejpam-4929	263	3	,	,	PUNCT
ejpam-4929	263	4	the	the	DET
ejpam-4929	263	5	wind	wind	NOUN
ejpam-4929	263	6	turbine	turbine	NOUN
ejpam-4929	263	7	showed	show	VERB
ejpam-4929	263	8	stable	stable	ADJ
ejpam-4929	263	9	solutions	solution	NOUN
ejpam-4929	263	10	without	without	ADP
ejpam-4929	263	11	jumps	jump	NOUN
ejpam-4929	263	12	due	due	ADP
ejpam-4929	263	13	to	to	ADP
ejpam-4929	263	14	the	the	DET
ejpam-4929	263	15	absence	absence	NOUN
ejpam-4929	263	16	of	of	ADP
ejpam-4929	263	17	bifurcation	bifurcation	NOUN
ejpam-4929	263	18	points	point	NOUN
ejpam-4929	263	19	.	.	PUNCT
ejpam-4929	264	1	2	2	NUM
ejpam-4929	264	2	.	.	PUNCT
ejpam-4929	265	1	the	the	DET
ejpam-4929	265	2	wind	wind	NOUN
ejpam-4929	265	3	turbine	turbine	NOUN
ejpam-4929	265	4	vibrations	vibration	NOUN
ejpam-4929	265	5	reached	reach	VERB
ejpam-4929	265	6	minimum	minimum	ADJ
ejpam-4929	265	7	levels	level	NOUN
ejpam-4929	265	8	in	in	ADP
ejpam-4929	265	9	the	the	DET
ejpam-4929	265	10	range	range	NOUN
ejpam-4929	265	11	σ1	σ1	PROPN
ejpam-4929	265	12	∈	∈	PROPN
ejpam-4929	266	1	[	[	X
ejpam-4929	266	2	−0.3	−0.3	PROPN
ejpam-4929	266	3	,	,	PUNCT
ejpam-4929	266	4	0.3	0.3	NUM
ejpam-4929	266	5	]	]	PUNCT
ejpam-4929	266	6	especially	especially	ADV
ejpam-4929	266	7	at	at	ADP
ejpam-4929	266	8	σ1=0	σ1=0	PROPN
ejpam-4929	266	9	.	.	PUNCT
ejpam-4929	267	1	3	3	X
ejpam-4929	267	2	.	.	PUNCT
ejpam-4929	268	1	wind	wind	NOUN
ejpam-4929	268	2	turbines	turbine	NOUN
ejpam-4929	268	3	operates	operate	VERB
ejpam-4929	268	4	safely	safely	ADV
ejpam-4929	268	5	in	in	ADP
ejpam-4929	268	6	the	the	DET
ejpam-4929	268	7	range	range	NOUN
ejpam-4929	268	8	σ1	σ1	PROPN
ejpam-4929	268	9	∈	∈	PROPN
ejpam-4929	269	1	[	[	X
ejpam-4929	269	2	−0.65	−0.65	X
ejpam-4929	269	3	,	,	PUNCT
ejpam-4929	269	4	0.65	0.65	NUM
ejpam-4929	269	5	]	]	PUNCT
ejpam-4929	269	6	when	when	SCONJ
ejpam-4929	269	7	σ1	σ1	PROPN
ejpam-4929	269	8	=	=	PROPN
ejpam-4929	269	9	σ2	σ2	PROPN
ejpam-4929	269	10	.	.	PROPN
ejpam-4929	270	1	4	4	NUM
ejpam-4929	270	2	.	.	PUNCT
ejpam-4929	271	1	before	before	ADP
ejpam-4929	271	2	control	control	NOUN
ejpam-4929	271	3	,	,	PUNCT
ejpam-4929	271	4	the	the	DET
ejpam-4929	271	5	amplitude	amplitude	NOUN
ejpam-4929	271	6	is	be	AUX
ejpam-4929	271	7	43	43	NUM
ejpam-4929	271	8	and	and	CCONJ
ejpam-4929	271	9	after	after	ADP
ejpam-4929	271	10	applying	apply	VERB
ejpam-4929	271	11	ppf	ppf	PROPN
ejpam-4929	271	12	control	control	VERB
ejpam-4929	271	13	the	the	DET
ejpam-4929	271	14	amplitude	amplitude	NOUN
ejpam-4929	271	15	become	become	VERB
ejpam-4929	271	16	0.6	0.6	NUM
ejpam-4929	271	17	then	then	ADV
ejpam-4929	271	18	the	the	DET
ejpam-4929	271	19	effectiveness	effectiveness	NOUN
ejpam-4929	271	20	of	of	ADP
ejpam-4929	271	21	control	control	NOUN
ejpam-4929	271	22	is	be	AUX
ejpam-4929	271	23	ea=72	ea=72	PROPN
ejpam-4929	271	24	.	.	NOUN
ejpam-4929	271	25	5	5	NUM
ejpam-4929	271	26	.	.	PUNCT
ejpam-4929	272	1	the	the	DET
ejpam-4929	272	2	control	control	NOUN
ejpam-4929	272	3	signal	signal	PROPN
ejpam-4929	272	4	gain	gain	VERB
ejpam-4929	272	5	β1	β1	PROPN
ejpam-4929	272	6	and	and	CCONJ
ejpam-4929	272	7	the	the	DET
ejpam-4929	272	8	feedback	feedback	NOUN
ejpam-4929	272	9	signal	signal	NOUN
ejpam-4929	272	10	gain	gain	NOUN
ejpam-4929	272	11	β2	β2	NOUN
ejpam-4929	272	12	can	can	AUX
ejpam-4929	272	13	be	be	AUX
ejpam-4929	272	14	used	use	VERB
ejpam-4929	272	15	to	to	PART
ejpam-4929	272	16	change	change	VERB
ejpam-4929	272	17	the	the	DET
ejpam-4929	272	18	minimum	minimum	ADJ
ejpam-4929	272	19	amplitudes	amplitude	NOUN
ejpam-4929	272	20	bandwidth	bandwidth	NOUN
ejpam-4929	272	21	.	.	PUNCT
ejpam-4929	273	1	6	6	NUM
ejpam-4929	273	2	.	.	PUNCT
ejpam-4929	274	1	the	the	DET
ejpam-4929	274	2	wind	wind	NOUN
ejpam-4929	274	3	turbine	turbine	NOUN
ejpam-4929	274	4	vibration	vibration	NOUN
ejpam-4929	274	5	amplitudes	amplitude	NOUN
ejpam-4929	274	6	are	be	AUX
ejpam-4929	274	7	very	very	ADV
ejpam-4929	274	8	sensitive	sensitive	ADJ
ejpam-4929	274	9	to	to	ADP
ejpam-4929	274	10	the	the	DET
ejpam-4929	274	11	wind	wind	NOUN
ejpam-4929	274	12	force	force	NOUN
ejpam-4929	274	13	amplitude	amplitude	NOUN
ejpam-4929	274	14	of	of	ADP
ejpam-4929	274	15	fa	fa	NOUN
ejpam-4929	274	16	before	before	ADV
ejpam-4929	274	17	and	and	CCONJ
ejpam-4929	274	18	after	after	ADP
ejpam-4929	274	19	control	control	NOUN
ejpam-4929	274	20	and	and	CCONJ
ejpam-4929	274	21	it	it	PRON
ejpam-4929	274	22	is	be	AUX
ejpam-4929	274	23	reasonable	reasonable	ADJ
ejpam-4929	274	24	to	to	PART
ejpam-4929	274	25	channel	channel	VERB
ejpam-4929	274	26	most	most	ADJ
ejpam-4929	274	27	of	of	ADP
ejpam-4929	274	28	the	the	DET
ejpam-4929	274	29	vibration	vibration	NOUN
ejpam-4929	274	30	energy	energy	NOUN
ejpam-4929	274	31	to	to	ADP
ejpam-4929	274	32	the	the	DET
ejpam-4929	274	33	controller	controller	NOUN
ejpam-4929	274	34	.	.	PUNCT
ejpam-4929	275	1	7	7	NUM
ejpam-4929	275	2	.	.	PUNCT
ejpam-4929	276	1	the	the	DET
ejpam-4929	276	2	steady	steady	ADJ
ejpam-4929	276	3	oscillations	oscillation	NOUN
ejpam-4929	276	4	of	of	ADP
ejpam-4929	276	5	the	the	DET
ejpam-4929	276	6	wind	wind	NOUN
ejpam-4929	276	7	turbine	turbine	NOUN
ejpam-4929	276	8	had	have	AUX
ejpam-4929	276	9	been	be	AUX
ejpam-4929	276	10	reduced	reduce	VERB
ejpam-4929	276	11	from	from	ADP
ejpam-4929	276	12	their	their	PRON
ejpam-4929	276	13	former	former	ADJ
ejpam-4929	276	14	state	state	NOUN
ejpam-4929	276	15	by	by	ADP
ejpam-4929	276	16	about	about	ADV
ejpam-4929	276	17	98.5	98.5	NUM
ejpam-4929	276	18	.	.	NOUN
ejpam-4929	277	1	8	8	NUM
ejpam-4929	277	2	.	.	PUNCT
ejpam-4929	278	1	the	the	DET
ejpam-4929	278	2	controller	controller	NOUN
ejpam-4929	278	3	damping	damp	VERB
ejpam-4929	278	4	µ1	µ1	NOUN
ejpam-4929	278	5	and	and	CCONJ
ejpam-4929	278	6	µ2	µ2	PROPN
ejpam-4929	278	7	and	and	CCONJ
ejpam-4929	278	8	natural	natural	ADJ
ejpam-4929	278	9	frequencies	frequency	NOUN
ejpam-4929	278	10	ω1	ω1	PROPN
ejpam-4929	278	11	and	and	CCONJ
ejpam-4929	278	12	ω2	ω2	ADJ
ejpam-4929	278	13	are	be	AUX
ejpam-4929	278	14	inversely	inversely	ADV
ejpam-4929	278	15	proportional	proportional	ADJ
ejpam-4929	278	16	with	with	ADP
ejpam-4929	278	17	the	the	DET
ejpam-4929	278	18	minimum	minimum	ADJ
ejpam-4929	278	19	vibratory	vibratory	NOUN
ejpam-4929	278	20	level	level	NOUN
ejpam-4929	278	21	reached	reach	VERB
ejpam-4929	278	22	at	at	ADP
ejpam-4929	278	23	σ1	σ1	PROPN
ejpam-4929	278	24	=	=	PROPN
ejpam-4929	278	25	σ2	σ2	PROPN
ejpam-4929	278	26	.	.	PUNCT
ejpam-4929	278	27	9	9	NUM
ejpam-4929	278	28	.	.	PUNCT
ejpam-4929	279	1	energy	energy	NOUN
ejpam-4929	279	2	is	be	AUX
ejpam-4929	279	3	moved	move	VERB
ejpam-4929	279	4	from	from	ADP
ejpam-4929	279	5	the	the	DET
ejpam-4929	279	6	system	system	NOUN
ejpam-4929	279	7	before	before	ADP
ejpam-4929	279	8	control	control	NOUN
ejpam-4929	279	9	to	to	ADP
ejpam-4929	279	10	the	the	DET
ejpam-4929	279	11	system	system	NOUN
ejpam-4929	279	12	after	after	ADP
ejpam-4929	279	13	adding	add	VERB
ejpam-4929	279	14	control	control	NOUN
ejpam-4929	279	15	at	at	ADP
ejpam-4929	279	16	varying	vary	VERB
ejpam-4929	279	17	values	value	NOUN
ejpam-4929	279	18	ω1	ω1	PROPN
ejpam-4929	279	19	,	,	PUNCT
ejpam-4929	279	20	ω2	ω2	ADJ
ejpam-4929	279	21	and	and	CCONJ
ejpam-4929	279	22	ω1	ω1	PROPN
ejpam-4929	279	23	.	.	PROPN
ejpam-4929	279	24	10	10	NUM
ejpam-4929	279	25	.	.	PUNCT
ejpam-4929	280	1	saturation	saturation	NOUN
ejpam-4929	280	2	phenomenon	phenomenon	NOUN
ejpam-4929	280	3	exhibit	exhibit	VERB
ejpam-4929	280	4	with	with	ADP
ejpam-4929	280	5	change	change	NOUN
ejpam-4929	280	6	values	value	NOUN
ejpam-4929	280	7	of	of	ADP
ejpam-4929	280	8	the	the	DET
ejpam-4929	280	9	control	control	NOUN
ejpam-4929	280	10	parameters	parameter	NOUN
ejpam-4929	280	11	β1	β1	PROPN
ejpam-4929	280	12	and	and	CCONJ
ejpam-4929	280	13	β2	β2	NOUN
ejpam-4929	280	14	.	.	PUNCT
ejpam-4929	281	1	11	11	NUM
ejpam-4929	281	2	.	.	PUNCT
ejpam-4929	282	1	on	on	ADP
ejpam-4929	282	2	poincare	poincare	PROPN
ejpam-4929	282	3	’s	’s	PART
ejpam-4929	282	4	maps	map	NOUN
ejpam-4929	282	5	,	,	PUNCT
ejpam-4929	282	6	periodic	periodic	ADJ
ejpam-4929	282	7	motion	motion	NOUN
ejpam-4929	282	8	may	may	AUX
ejpam-4929	282	9	be	be	AUX
ejpam-4929	282	10	seen	see	VERB
ejpam-4929	282	11	before	before	ADP
ejpam-4929	282	12	control	control	NOUN
ejpam-4929	282	13	and	and	CCONJ
ejpam-4929	282	14	a	a	DET
ejpam-4929	282	15	quasiperiodic	quasiperiodic	ADJ
ejpam-4929	282	16	motion	motion	NOUN
ejpam-4929	282	17	appear	appear	VERB
ejpam-4929	282	18	control	control	NOUN
ejpam-4929	282	19	.	.	PUNCT
ejpam-4929	283	1	references	reference	NOUN
ejpam-4929	283	2	2725	2725	NUM
ejpam-4929	283	3	funding	funding	NOUN
ejpam-4929	283	4	:	:	PUNCT
ejpam-4929	283	5	this	this	DET
ejpam-4929	283	6	research	research	NOUN
ejpam-4929	283	7	did	do	AUX
ejpam-4929	283	8	not	not	PART
ejpam-4929	283	9	receive	receive	VERB
ejpam-4929	283	10	any	any	DET
ejpam-4929	283	11	specific	specific	ADJ
ejpam-4929	283	12	external	external	ADJ
ejpam-4929	283	13	funding	funding	NOUN
ejpam-4929	283	14	other	other	ADJ
ejpam-4929	283	15	than	than	ADP
ejpam-4929	283	16	the	the	DET
ejpam-4929	283	17	funding	funding	NOUN
ejpam-4929	283	18	by	by	ADP
ejpam-4929	283	19	the	the	DET
ejpam-4929	283	20	deanship	deanship	NOUN
ejpam-4929	283	21	of	of	ADP
ejpam-4929	283	22	scientific	scientific	ADJ
ejpam-4929	283	23	research	research	NOUN
ejpam-4929	283	24	,	,	PUNCT
ejpam-4929	283	25	taif	taif	PROPN
ejpam-4929	283	26	university	university	PROPN
ejpam-4929	283	27	,	,	PUNCT
ejpam-4929	283	28	saudi	saudi	PROPN
ejpam-4929	283	29	arabia	arabia	PROPN
ejpam-4929	283	30	with	with	ADP
ejpam-4929	283	31	project	project	NOUN
ejpam-4929	283	32	number	number	NOUN
ejpam-4929	283	33	(	(	PUNCT
ejpam-4929	283	34	1	1	NUM
ejpam-4929	283	35	-	-	NUM
ejpam-4929	283	36	443	443	NUM
ejpam-4929	283	37	-	-	SYM
ejpam-4929	283	38	1	1	NUM
ejpam-4929	283	39	)	)	PUNCT
ejpam-4929	283	40	.	.	PUNCT
ejpam-4929	284	1	acknowledgements	acknowledgement	NOUN
ejpam-4929	284	2	this	this	DET
ejpam-4929	284	3	research	research	NOUN
ejpam-4929	284	4	was	be	AUX
ejpam-4929	284	5	supported	support	VERB
ejpam-4929	284	6	by	by	ADP
ejpam-4929	284	7	the	the	DET
ejpam-4929	284	8	deanship	deanship	NOUN
ejpam-4929	284	9	of	of	ADP
ejpam-4929	284	10	scientific	scientific	ADJ
ejpam-4929	284	11	research	research	NOUN
ejpam-4929	284	12	,	,	PUNCT
ejpam-4929	284	13	taif	taif	PROPN
ejpam-4929	284	14	university	university	PROPN
ejpam-4929	284	15	,	,	PUNCT
ejpam-4929	284	16	saudi	saudi	PROPN
ejpam-4929	284	17	arabia	arabia	PROPN
ejpam-4929	284	18	with	with	ADP
ejpam-4929	284	19	project	project	NOUN
ejpam-4929	284	20	number	number	NOUN
ejpam-4929	284	21	(	(	PUNCT
ejpam-4929	284	22	1	1	NUM
ejpam-4929	284	23	-	-	NUM
ejpam-4929	284	24	443	443	NUM
ejpam-4929	284	25	-	-	SYM
ejpam-4929	284	26	1	1	NUM
ejpam-4929	284	27	)	)	PUNCT
ejpam-4929	284	28	.	.	PUNCT
ejpam-4929	285	1	conflicts	conflict	NOUN
ejpam-4929	285	2	of	of	ADP
ejpam-4929	285	3	interest	interest	NOUN
ejpam-4929	285	4	:	:	PUNCT
ejpam-4929	285	5	the	the	DET
ejpam-4929	285	6	authors	author	NOUN
ejpam-4929	285	7	declare	declare	VERB
ejpam-4929	285	8	no	no	DET
ejpam-4929	285	9	conflict	conflict	NOUN
ejpam-4929	285	10	of	of	ADP
ejpam-4929	285	11	interest	interest	NOUN
ejpam-4929	285	12	.	.	PUNCT
ejpam-4929	286	1	references	reference	NOUN
ejpam-4929	286	2	[	[	X
ejpam-4929	286	3	0	0	X
ejpam-4929	286	4	]	]	X
ejpam-4929	286	5	m.	m.	NOUN
ejpam-4929	286	6	a.	a.	PROPN
ejpam-4929	286	7	silva	silva	PROPN
ejpam-4929	286	8	,	,	PUNCT
ejpam-4929	286	9	j.	j.	PROPN
ejpam-4929	286	10	s.	s.	PROPN
ejpam-4929	286	11	arora	arora	PROPN
ejpam-4929	286	12	,	,	PUNCT
ejpam-4929	286	13	and	and	CCONJ
ejpam-4929	286	14	r.	r.	PROPN
ejpam-4929	286	15	m.	m.	PROPN
ejpam-4929	286	16	brasil	brasil	PROPN
ejpam-4929	286	17	,	,	PUNCT
ejpam-4929	286	18	“	"	PUNCT
ejpam-4929	286	19	formulations	formulation	NOUN
ejpam-4929	286	20	for	for	ADP
ejpam-4929	286	21	the	the	DET
ejpam-4929	286	22	optimal	optimal	ADJ
ejpam-4929	286	23	design	design	NOUN
ejpam-4929	286	24	of	of	ADP
ejpam-4929	286	25	rc	rc	PROPN
ejpam-4929	286	26	wind	wind	NOUN
ejpam-4929	286	27	turbine	turbine	NOUN
ejpam-4929	286	28	towers	tower	NOUN
ejpam-4929	286	29	,	,	PUNCT
ejpam-4929	286	30	”	"	PUNCT
ejpam-4929	286	31	in	in	ADP
ejpam-4929	286	32	proceedings	proceeding	NOUN
ejpam-4929	286	33	of	of	ADP
ejpam-4929	286	34	the	the	DET
ejpam-4929	286	35	international	international	ADJ
ejpam-4929	286	36	conference	conference	NOUN
ejpam-4929	286	37	on	on	ADP
ejpam-4929	286	38	engineering	engineering	NOUN
ejpam-4929	286	39	optimization	optimization	NOUN
ejpam-4929	286	40	(	(	PUNCT
ejpam-4929	286	41	engopt	engopt	PROPN
ejpam-4929	286	42	2008	2008	NUM
ejpam-4929	286	43	)	)	PUNCT
ejpam-4929	286	44	,	,	PUNCT
ejpam-4929	286	45	rio	rio	PROPN
ejpam-4929	286	46	de	de	PROPN
ejpam-4929	286	47	janeiro	janeiro	PROPN
ejpam-4929	286	48	,	,	PUNCT
ejpam-4929	286	49	brazil	brazil	PROPN
ejpam-4929	286	50	,	,	PUNCT
ejpam-4929	286	51	june	june	PROPN
ejpam-4929	286	52	2008	2008	NUM
ejpam-4929	286	53	.	.	PUNCT
ejpam-4929	287	1	[	[	X
ejpam-4929	287	2	0	0	X
ejpam-4929	287	3	]	]	X
ejpam-4929	287	4	w.	w.	PROPN
ejpam-4929	287	5	shi	shi	PROPN
ejpam-4929	287	6	,	,	PUNCT
ejpam-4929	287	7	j.	j.	PROPN
ejpam-4929	287	8	han	han	PROPN
ejpam-4929	287	9	,	,	PUNCT
ejpam-4929	287	10	c.	c.	PROPN
ejpam-4929	287	11	kim	kim	PROPN
ejpam-4929	287	12	,	,	PUNCT
ejpam-4929	287	13	d.	d.	PROPN
ejpam-4929	287	14	lee	lee	PROPN
ejpam-4929	287	15	,	,	PUNCT
ejpam-4929	287	16	h.	h.	PROPN
ejpam-4929	287	17	shin	shin	PROPN
ejpam-4929	287	18	,	,	PUNCT
ejpam-4929	287	19	and	and	CCONJ
ejpam-4929	287	20	h.	h.	PROPN
ejpam-4929	287	21	park	park	PROPN
ejpam-4929	287	22	,	,	PUNCT
ejpam-4929	287	23	“	"	PUNCT
ejpam-4929	287	24	feasibility	feasibility	NOUN
ejpam-4929	287	25	study	study	NOUN
ejpam-4929	287	26	of	of	ADP
ejpam-4929	287	27	offshore	offshore	ADJ
ejpam-4929	287	28	wind	wind	NOUN
ejpam-4929	287	29	turbine	turbine	NOUN
ejpam-4929	287	30	substructures	substructure	NOUN
ejpam-4929	287	31	for	for	ADP
ejpam-4929	287	32	southwest	southwest	ADJ
ejpam-4929	287	33	offshore	offshore	ADJ
ejpam-4929	287	34	wind	wind	NOUN
ejpam-4929	287	35	farm	farm	NOUN
ejpam-4929	287	36	project	project	NOUN
ejpam-4929	287	37	in	in	ADP
ejpam-4929	287	38	korea	korea	PROPN
ejpam-4929	287	39	,	,	PUNCT
ejpam-4929	287	40	”	"	PUNCT
ejpam-4929	287	41	renewable	renewable	ADJ
ejpam-4929	287	42	energy	energy	NOUN
ejpam-4929	287	43	,	,	PUNCT
ejpam-4929	287	44	vol	vol	NOUN
ejpam-4929	287	45	.	.	PROPN
ejpam-4929	287	46	74	74	NUM
ejpam-4929	287	47	,	,	PUNCT
ejpam-4929	287	48	pp	pp	ADJ
ejpam-4929	287	49	.	.	PUNCT
ejpam-4929	288	1	406–413	406–413	NUM
ejpam-4929	288	2	,	,	PUNCT
ejpam-4929	288	3	2015	2015	NUM
ejpam-4929	288	4	.	.	PUNCT
ejpam-4929	289	1	[	[	X
ejpam-4929	289	2	0	0	X
ejpam-4929	289	3	]	]	X
ejpam-4929	289	4	c.	c.	PROPN
ejpam-4929	289	5	van	van	PROPN
ejpam-4929	289	6	der	der	PROPN
ejpam-4929	289	7	woude	woude	VERB
ejpam-4929	289	8	and	and	CCONJ
ejpam-4929	289	9	s.	s.	PROPN
ejpam-4929	289	10	narasimhan	narasimhan	PROPN
ejpam-4929	289	11	,	,	PUNCT
ejpam-4929	289	12	“	"	PUNCT
ejpam-4929	289	13	a	a	DET
ejpam-4929	289	14	study	study	NOUN
ejpam-4929	289	15	on	on	ADP
ejpam-4929	289	16	vibration	vibration	NOUN
ejpam-4929	289	17	isolation	isolation	NOUN
ejpam-4929	289	18	for	for	ADP
ejpam-4929	289	19	wind	wind	NOUN
ejpam-4929	289	20	turbine	turbine	NOUN
ejpam-4929	289	21	structures	structure	NOUN
ejpam-4929	289	22	,	,	PUNCT
ejpam-4929	289	23	”	"	PUNCT
ejpam-4929	289	24	engineering	engineering	NOUN
ejpam-4929	289	25	structures	structure	NOUN
ejpam-4929	289	26	,	,	PUNCT
ejpam-4929	289	27	vol	vol	NOUN
ejpam-4929	289	28	.	.	PROPN
ejpam-4929	289	29	60	60	NUM
ejpam-4929	289	30	,	,	PUNCT
ejpam-4929	289	31	pp	pp	ADJ
ejpam-4929	289	32	.	.	PUNCT
ejpam-4929	290	1	223–234	223–234	NUM
ejpam-4929	290	2	,	,	PUNCT
ejpam-4929	290	3	2014	2014	NUM
ejpam-4929	290	4	.	.	PUNCT
ejpam-4929	291	1	[	[	X
ejpam-4929	291	2	0	0	X
ejpam-4929	291	3	]	]	X
ejpam-4929	291	4	s.	s.	PROPN
ejpam-4929	291	5	bisoi	bisoi	PROPN
ejpam-4929	291	6	and	and	CCONJ
ejpam-4929	291	7	s.	s.	PROPN
ejpam-4929	291	8	haldar	haldar	PROPN
ejpam-4929	291	9	,	,	PUNCT
ejpam-4929	291	10	dynamic	dynamic	ADJ
ejpam-4929	291	11	analysis	analysis	NOUN
ejpam-4929	291	12	of	of	ADP
ejpam-4929	291	13	offshore	offshore	ADJ
ejpam-4929	291	14	wind	wind	NOUN
ejpam-4929	291	15	turbine	turbine	NOUN
ejpam-4929	291	16	in	in	ADP
ejpam-4929	291	17	clay	clay	NOUN
ejpam-4929	291	18	considering	consider	VERB
ejpam-4929	291	19	soil	soil	NOUN
ejpam-4929	291	20	–	–	PUNCT
ejpam-4929	291	21	monopile	monopile	ADJ
ejpam-4929	291	22	–	–	PUNCT
ejpam-4929	291	23	tower	tower	NOUN
ejpam-4929	291	24	interaction	interaction	NOUN
ejpam-4929	291	25	,	,	PUNCT
ejpam-4929	291	26	soil	soil	NOUN
ejpam-4929	291	27	dynamics	dynamic	NOUN
ejpam-4929	291	28	and	and	CCONJ
ejpam-4929	291	29	earthquake	earthquake	NOUN
ejpam-4929	291	30	engineering	engineer	VERB
ejpam-4929	291	31	63	63	NUM
ejpam-4929	291	32	(	(	PUNCT
ejpam-4929	291	33	2014	2014	NUM
ejpam-4929	291	34	)	)	PUNCT
ejpam-4929	291	35	19–35	19–35	NUM
ejpam-4929	291	36	.	.	PUNCT
ejpam-4929	292	1	[	[	X
ejpam-4929	292	2	0	0	X
ejpam-4929	292	3	]	]	X
ejpam-4929	292	4	f.	f.	PROPN
ejpam-4929	292	5	shi	shi	PROPN
ejpam-4929	292	6	and	and	CCONJ
ejpam-4929	292	7	r.	r.	PROPN
ejpam-4929	292	8	patton	patton	PROPN
ejpam-4929	292	9	,	,	PUNCT
ejpam-4929	292	10	“	"	PUNCT
ejpam-4929	292	11	an	an	DET
ejpam-4929	292	12	active	active	ADJ
ejpam-4929	292	13	fault	fault	NOUN
ejpam-4929	292	14	tolerant	tolerant	ADJ
ejpam-4929	292	15	control	control	NOUN
ejpam-4929	292	16	approach	approach	NOUN
ejpam-4929	292	17	to	to	ADP
ejpam-4929	292	18	an	an	DET
ejpam-4929	292	19	offshore	offshore	ADJ
ejpam-4929	292	20	wind	wind	NOUN
ejpam-4929	292	21	turbine	turbine	NOUN
ejpam-4929	292	22	model	model	NOUN
ejpam-4929	292	23	”	"	PUNCT
ejpam-4929	292	24	renewable	renewable	ADJ
ejpam-4929	292	25	energy	energy	NOUN
ejpam-4929	292	26	75	75	NUM
ejpam-4929	292	27	(	(	PUNCT
ejpam-4929	292	28	2015	2015	NUM
ejpam-4929	292	29	)	)	PUNCT
ejpam-4929	292	30	788	788	NUM
ejpam-4929	292	31	-	-	SYM
ejpam-4929	292	32	798	798	NUM
ejpam-4929	293	1	[	[	X
ejpam-4929	293	2	0	0	X
ejpam-4929	293	3	]	]	X
ejpam-4929	293	4	v.	v.	CCONJ
ejpam-4929	293	5	nguyen	nguyen	PROPN
ejpam-4929	293	6	dinh	dinh	PROPN
ejpam-4929	293	7	and	and	CCONJ
ejpam-4929	293	8	b.	b.	PROPN
ejpam-4929	293	9	basu	basu	PROPN
ejpam-4929	293	10	,	,	PUNCT
ejpam-4929	293	11	“	"	PUNCT
ejpam-4929	293	12	passive	passive	ADJ
ejpam-4929	293	13	control	control	NOUN
ejpam-4929	293	14	of	of	ADP
ejpam-4929	293	15	floating	float	VERB
ejpam-4929	293	16	offshore	offshore	ADJ
ejpam-4929	293	17	wind	wind	NOUN
ejpam-4929	293	18	turbine	turbine	NOUN
ejpam-4929	293	19	nacelle	nacelle	NOUN
ejpam-4929	293	20	and	and	CCONJ
ejpam-4929	293	21	spar	spar	NOUN
ejpam-4929	293	22	vibrations	vibration	NOUN
ejpam-4929	293	23	by	by	ADP
ejpam-4929	293	24	multiple	multiple	ADJ
ejpam-4929	293	25	tuned	tune	VERB
ejpam-4929	293	26	mass	mass	ADJ
ejpam-4929	293	27	dampers	damper	NOUN
ejpam-4929	293	28	”	"	PUNCT
ejpam-4929	293	29	structural	structural	ADJ
ejpam-4929	293	30	control	control	NOUN
ejpam-4929	293	31	and	and	CCONJ
ejpam-4929	293	32	health	health	NOUN
ejpam-4929	293	33	monitoring	monitoring	NOUN
ejpam-4929	293	34	.	.	PUNCT
ejpam-4929	294	1	22	22	NUM
ejpam-4929	294	2	(	(	PUNCT
ejpam-4929	294	3	2015	2015	NUM
ejpam-4929	294	4	)	)	PUNCT
ejpam-4929	294	5	152	152	NUM
ejpam-4929	294	6	-	-	SYM
ejpam-4929	294	7	176	176	NUM
ejpam-4929	294	8	.	.	PUNCT
ejpam-4929	295	1	[	[	X
ejpam-4929	295	2	0	0	X
ejpam-4929	295	3	]	]	X
ejpam-4929	295	4	y.	y.	PROPN
ejpam-4929	295	5	hu	hu	PROPN
ejpam-4929	295	6	and	and	CCONJ
ejpam-4929	295	7	e.	e.	PROPN
ejpam-4929	295	8	he	he	PRON
ejpam-4929	295	9	,	,	PUNCT
ejpam-4929	295	10	“	"	PUNCT
ejpam-4929	295	11	active	active	ADJ
ejpam-4929	295	12	structural	structural	ADJ
ejpam-4929	295	13	control	control	NOUN
ejpam-4929	295	14	of	of	ADP
ejpam-4929	295	15	a	a	DET
ejpam-4929	295	16	floating	float	VERB
ejpam-4929	295	17	wind	wind	NOUN
ejpam-4929	295	18	turbine	turbine	NOUN
ejpam-4929	295	19	with	with	ADP
ejpam-4929	295	20	a	a	DET
ejpam-4929	295	21	strokelimited	strokelimite	VERB
ejpam-4929	295	22	hybrid	hybrid	NOUN
ejpam-4929	295	23	mass	mass	NOUN
ejpam-4929	295	24	damper	damper	NOUN
ejpam-4929	295	25	”	"	PUNCT
ejpam-4929	295	26	journal	journal	NOUN
ejpam-4929	295	27	of	of	ADP
ejpam-4929	295	28	sound	sound	NOUN
ejpam-4929	295	29	and	and	CCONJ
ejpam-4929	295	30	vibration	vibration	NOUN
ejpam-4929	295	31	410	410	NUM
ejpam-4929	295	32	(	(	PUNCT
ejpam-4929	295	33	2017	2017	NUM
ejpam-4929	295	34	)	)	PUNCT
ejpam-4929	295	35	447	447	NUM
ejpam-4929	295	36	-	-	SYM
ejpam-4929	295	37	472	472	NUM
ejpam-4929	295	38	.	.	PUNCT
ejpam-4929	296	1	[	[	X
ejpam-4929	296	2	0	0	X
ejpam-4929	296	3	]	]	X
ejpam-4929	296	4	s.	s.	PROPN
ejpam-4929	296	5	a.	a.	PROPN
ejpam-4929	296	6	eisa	eisa	PROPN
ejpam-4929	296	7	,	,	PUNCT
ejpam-4929	296	8	w.	w.	PROPN
ejpam-4929	296	9	stone	stone	PROPN
ejpam-4929	296	10	and	and	CCONJ
ejpam-4929	296	11	k.	k.	PROPN
ejpam-4929	296	12	wedeward	wedeward	PROPN
ejpam-4929	296	13	,	,	PUNCT
ejpam-4929	296	14	“	"	PUNCT
ejpam-4929	296	15	mathematical	mathematical	ADJ
ejpam-4929	296	16	analysis	analysis	NOUN
ejpam-4929	296	17	of	of	ADP
ejpam-4929	296	18	wind	wind	NOUN
ejpam-4929	296	19	turbines	turbine	NOUN
ejpam-4929	296	20	dynamics	dynamic	NOUN
ejpam-4929	296	21	under	under	ADP
ejpam-4929	296	22	control	control	NOUN
ejpam-4929	296	23	limits	limit	NOUN
ejpam-4929	296	24	:	:	PUNCT
ejpam-4929	296	25	boundedness	boundedness	NOUN
ejpam-4929	296	26	,	,	PUNCT
ejpam-4929	296	27	existence	existence	NOUN
ejpam-4929	296	28	,	,	PUNCT
ejpam-4929	296	29	uniqueness	uniqueness	NOUN
ejpam-4929	296	30	,	,	PUNCT
ejpam-4929	296	31	and	and	CCONJ
ejpam-4929	296	32	multi	multi	ADJ
ejpam-4929	296	33	time	time	NOUN
ejpam-4929	296	34	scale	scale	NOUN
ejpam-4929	296	35	simulations	simulation	NOUN
ejpam-4929	296	36	”	"	PUNCT
ejpam-4929	296	37	international	international	ADJ
ejpam-4929	296	38	journal	journal	NOUN
ejpam-4929	296	39	of	of	ADP
ejpam-4929	296	40	dynamics	dynamic	NOUN
ejpam-4929	296	41	and	and	CCONJ
ejpam-4929	296	42	control	control	NOUN
ejpam-4929	296	43	6	6	NUM
ejpam-4929	296	44	(	(	PUNCT
ejpam-4929	296	45	2018	2018	NUM
ejpam-4929	296	46	)	)	PUNCT
ejpam-4929	296	47	929–949	929–949	NUM
ejpam-4929	296	48	.	.	PUNCT
ejpam-4929	297	1	[	[	X
ejpam-4929	297	2	0	0	X
ejpam-4929	297	3	]	]	X
ejpam-4929	297	4	b.	b.	PROPN
ejpam-4929	297	5	fitzgerald	fitzgerald	PROPN
ejpam-4929	297	6	,	,	PUNCT
ejpam-4929	297	7	s.	s.	PROPN
ejpam-4929	297	8	sarkar	sarkar	PROPN
ejpam-4929	297	9	and	and	CCONJ
ejpam-4929	297	10	a.	a.	PROPN
ejpam-4929	297	11	staino	staino	PROPN
ejpam-4929	297	12	,	,	PUNCT
ejpam-4929	297	13	“	"	PUNCT
ejpam-4929	297	14	improved	improved	ADJ
ejpam-4929	297	15	reliability	reliability	NOUN
ejpam-4929	297	16	of	of	ADP
ejpam-4929	297	17	wind	wind	NOUN
ejpam-4929	297	18	turbine	turbine	NOUN
ejpam-4929	297	19	towers	tower	NOUN
ejpam-4929	297	20	with	with	ADP
ejpam-4929	297	21	active	active	ADJ
ejpam-4929	297	22	tuned	tune	VERB
ejpam-4929	297	23	mass	mass	ADJ
ejpam-4929	297	24	dampers	damper	NOUN
ejpam-4929	297	25	(	(	PUNCT
ejpam-4929	297	26	atmds	atmds	NOUN
ejpam-4929	297	27	)	)	PUNCT
ejpam-4929	297	28	”	"	PUNCT
ejpam-4929	297	29	journal	journal	NOUN
ejpam-4929	297	30	of	of	ADP
ejpam-4929	297	31	sound	sound	NOUN
ejpam-4929	297	32	and	and	CCONJ
ejpam-4929	297	33	vibration	vibration	NOUN
ejpam-4929	297	34	419	419	NUM
ejpam-4929	297	35	(	(	PUNCT
ejpam-4929	297	36	2018	2018	NUM
ejpam-4929	297	37	)	)	PUNCT
ejpam-4929	297	38	103–122	103–122	NUM
ejpam-4929	297	39	.	.	PUNCT
ejpam-4929	297	40	references	reference	NOUN
ejpam-4929	297	41	2726	2726	NUM
ejpam-4929	297	42	[	[	X
ejpam-4929	297	43	0	0	NUM
ejpam-4929	297	44	]	]	X
ejpam-4929	297	45	b.	b.	PROPN
ejpam-4929	297	46	y.	y.	PROPN
ejpam-4929	297	47	dagli	dagli	PROPN
ejpam-4929	297	48	,	,	PUNCT
ejpam-4929	297	49	y.	y.	PROPN
ejpam-4929	297	50	tuskan	tuskan	PROPN
ejpam-4929	297	51	and	and	CCONJ
ejpam-4929	297	52	u.	u.	PROPN
ejpam-4929	297	53	gokkus	gokkus	PROPN
ejpam-4929	297	54	,	,	PUNCT
ejpam-4929	297	55	“	"	PUNCT
ejpam-4929	297	56	evaluation	evaluation	NOUN
ejpam-4929	297	57	of	of	ADP
ejpam-4929	297	58	offshore	offshore	ADJ
ejpam-4929	297	59	wind	wind	NOUN
ejpam-4929	297	60	turbine	turbine	NOUN
ejpam-4929	297	61	tower	tower	NOUN
ejpam-4929	297	62	dynamics	dynamic	NOUN
ejpam-4929	297	63	with	with	ADP
ejpam-4929	297	64	numerical	numerical	ADJ
ejpam-4929	297	65	analysis	analysis	NOUN
ejpam-4929	297	66	”	"	PUNCT
ejpam-4929	297	67	advances	advance	NOUN
ejpam-4929	297	68	in	in	ADP
ejpam-4929	297	69	civil	civil	ADJ
ejpam-4929	297	70	engineering	engineering	NOUN
ejpam-4929	297	71	2018	2018	NUM
ejpam-4929	297	72	(	(	PUNCT
ejpam-4929	297	73	2018	2018	NUM
ejpam-4929	297	74	)	)	PUNCT
ejpam-4929	297	75	article	article	NOUN
ejpam-4929	297	76	i	i	PROPN
ejpam-4929	297	77	d	d	PROPN
ejpam-4929	297	78	3054851	3054851	NUM
ejpam-4929	297	79	,	,	PUNCT
ejpam-4929	297	80	11	11	NUM
ejpam-4929	297	81	pages	page	NOUN
ejpam-4929	297	82	.	.	PUNCT
ejpam-4929	298	1	[	[	X
ejpam-4929	298	2	0	0	X
ejpam-4929	298	3	]	]	X
ejpam-4929	298	4	y.s	y.s	PROPN
ejpam-4929	298	5	.	.	PROPN
ejpam-4929	298	6	hamed	hamed	PROPN
ejpam-4929	298	7	,	,	PUNCT
ejpam-4929	298	8	ayman	ayman	PROPN
ejpam-4929	298	9	a.	a.	PROPN
ejpam-4929	298	10	aly	aly	PROPN
ejpam-4929	298	11	,	,	PUNCT
ejpam-4929	298	12	b.	b.	PROPN
ejpam-4929	298	13	saleh	saleh	PROPN
ejpam-4929	298	14	,	,	PUNCT
ejpam-4929	298	15	ageel	ageel	PROPN
ejpam-4929	298	16	f.	f.	PROPN
ejpam-4929	298	17	alogla	alogla	PROPN
ejpam-4929	298	18	,	,	PUNCT
ejpam-4929	298	19	awad	awad	PROPN
ejpam-4929	298	20	m.	m.	PROPN
ejpam-4929	298	21	aljuaid	aljuaid	PROPN
ejpam-4929	298	22	,	,	PUNCT
ejpam-4929	298	23	and	and	CCONJ
ejpam-4929	298	24	mosleh	mosleh	PROPN
ejpam-4929	298	25	m.	m.	NOUN
ejpam-4929	298	26	alharthi	alharthi	PROPN
ejpam-4929	298	27	“	"	PUNCT
ejpam-4929	298	28	vibration	vibration	NOUN
ejpam-4929	298	29	performance	performance	NOUN
ejpam-4929	298	30	,	,	PUNCT
ejpam-4929	298	31	stability	stability	NOUN
ejpam-4929	298	32	and	and	CCONJ
ejpam-4929	298	33	energy	energy	NOUN
ejpam-4929	298	34	transfer	transfer	NOUN
ejpam-4929	298	35	of	of	ADP
ejpam-4929	298	36	wind	wind	NOUN
ejpam-4929	298	37	turbine	turbine	NOUN
ejpam-4929	298	38	tower	tower	NOUN
ejpam-4929	298	39	via	via	ADP
ejpam-4929	298	40	pd	pd	PROPN
ejpam-4929	298	41	controller	controller	NOUN
ejpam-4929	298	42	”	"	PUNCT
ejpam-4929	298	43	computers	computer	NOUN
ejpam-4929	298	44	,	,	PUNCT
ejpam-4929	298	45	materials	material	NOUN
ejpam-4929	298	46	&	&	CCONJ
ejpam-4929	298	47	continua	continuum	NOUN
ejpam-4929	298	48	,	,	PUNCT
ejpam-4929	298	49	64(2	64(2	NUM
ejpam-4929	298	50	)	)	PUNCT
ejpam-4929	298	51	(	(	PUNCT
ejpam-4929	298	52	2020	2020	NUM
ejpam-4929	298	53	)	)	PUNCT
ejpam-4929	298	54	871	871	NUM
ejpam-4929	298	55	-	-	SYM
ejpam-4929	298	56	886	886	NUM
ejpam-4929	298	57	.	.	PUNCT
ejpam-4929	299	1	[	[	X
ejpam-4929	299	2	0	0	X
ejpam-4929	299	3	]	]	X
ejpam-4929	299	4	y.s	y.s	PROPN
ejpam-4929	299	5	.	.	PROPN
ejpam-4929	299	6	hamed	hamed	PROPN
ejpam-4929	299	7	,	,	PUNCT
ejpam-4929	299	8	ayman	ayman	PROPN
ejpam-4929	299	9	a.	a.	PROPN
ejpam-4929	299	10	aly	aly	PROPN
ejpam-4929	299	11	,	,	PUNCT
ejpam-4929	299	12	b.	b.	PROPN
ejpam-4929	299	13	saleh	saleh	PROPN
ejpam-4929	299	14	,	,	PUNCT
ejpam-4929	299	15	ageel	ageel	PROPN
ejpam-4929	299	16	f.	f.	PROPN
ejpam-4929	299	17	alogla	alogla	PROPN
ejpam-4929	299	18	,	,	PUNCT
ejpam-4929	299	19	awad	awad	PROPN
ejpam-4929	299	20	m.	m.	PROPN
ejpam-4929	299	21	aljuaid	aljuaid	PROPN
ejpam-4929	299	22	,	,	PUNCT
ejpam-4929	299	23	and	and	CCONJ
ejpam-4929	299	24	mosleh	mosleh	PROPN
ejpam-4929	299	25	m.	m.	NOUN
ejpam-4929	299	26	alharthi	alharthi	PROPN
ejpam-4929	299	27	“	"	PUNCT
ejpam-4929	299	28	nonlinear	nonlinear	ADJ
ejpam-4929	299	29	structural	structural	ADJ
ejpam-4929	299	30	control	control	NOUN
ejpam-4929	299	31	analysis	analysis	NOUN
ejpam-4929	299	32	of	of	ADP
ejpam-4929	299	33	an	an	DET
ejpam-4929	299	34	offshore	offshore	ADJ
ejpam-4929	299	35	wind	wind	NOUN
ejpam-4929	299	36	turbine	turbine	NOUN
ejpam-4929	299	37	tower	tower	NOUN
ejpam-4929	299	38	system	system	NOUN
ejpam-4929	299	39	”	"	PUNCT
ejpam-4929	299	40	processes	process	VERB
ejpam-4929	299	41	8(1	8(1	NOUN
ejpam-4929	299	42	)	)	PUNCT
ejpam-4929	299	43	(	(	PUNCT
ejpam-4929	299	44	2020	2020	NUM
ejpam-4929	299	45	)	)	PUNCT
ejpam-4929	299	46	1	1	NUM
ejpam-4929	299	47	-	-	SYM
ejpam-4929	299	48	15	15	NUM
ejpam-4929	299	49	.	.	PUNCT
ejpam-4929	300	1	[	[	X
ejpam-4929	300	2	0	0	X
ejpam-4929	300	3	]	]	X
ejpam-4929	300	4	khadijah	khadijah	PROPN
ejpam-4929	300	5	m.	m.	PROPN
ejpam-4929	300	6	abualnaja	abualnaja	PROPN
ejpam-4929	300	7	,	,	PUNCT
ejpam-4929	300	8	y.	y.	PROPN
ejpam-4929	300	9	a.	a.	PROPN
ejpam-4929	300	10	amer	amer	PROPN
ejpam-4929	300	11	,	,	PUNCT
ejpam-4929	300	12	a.	a.	PROPN
ejpam-4929	300	13	t.	t.	PROPN
ejpam-4929	300	14	el	el	PROPN
ejpam-4929	300	15	-	-	PUNCT
ejpam-4929	300	16	sayed	sayed	PROPN
ejpam-4929	300	17	,	,	PUNCT
ejpam-4929	300	18	e.	e.	PROPN
ejpam-4929	300	19	el	el	PROPN
ejpam-4929	300	20	emam	emam	PROPN
ejpam-4929	300	21	ahmed	ahmed	PROPN
ejpam-4929	300	22	and	and	CCONJ
ejpam-4929	300	23	y.	y.	PROPN
ejpam-4929	300	24	s.	s.	PROPN
ejpam-4929	300	25	hamed	hamed	PROPN
ejpam-4929	300	26	,	,	PUNCT
ejpam-4929	300	27	response	response	NOUN
ejpam-4929	300	28	analysis	analysis	NOUN
ejpam-4929	300	29	and	and	CCONJ
ejpam-4929	300	30	controlling	control	VERB
ejpam-4929	300	31	the	the	DET
ejpam-4929	300	32	nonlinear	nonlinear	ADJ
ejpam-4929	300	33	vibration	vibration	NOUN
ejpam-4929	300	34	of	of	ADP
ejpam-4929	300	35	van	van	PROPN
ejpam-4929	300	36	der	der	PROPN
ejpam-4929	300	37	-	-	PUNCT
ejpam-4929	300	38	pol	pol	NOUN
ejpam-4929	300	39	duffing	duffing	NOUN
ejpam-4929	300	40	oscillator	oscillator	NOUN
ejpam-4929	300	41	connected	connect	VERB
ejpam-4929	300	42	to	to	ADP
ejpam-4929	300	43	the	the	DET
ejpam-4929	300	44	nippf	nippf	ADJ
ejpam-4929	300	45	controller	controller	NOUN
ejpam-4929	300	46	,	,	PUNCT
ejpam-4929	300	47	ieee	ieee	NOUN
ejpam-4929	300	48	journal	journal	NOUN
ejpam-4929	300	49	,	,	PUNCT
ejpam-4929	300	50	vol	vol	NOUN
ejpam-4929	300	51	.	.	NOUN
ejpam-4929	300	52	9	9	NUM
ejpam-4929	300	53	,	,	PUNCT
ejpam-4929	300	54	91836	91836	NUM
ejpam-4929	300	55	91849	91849	NUM
ejpam-4929	300	56	,	,	PUNCT
ejpam-4929	300	57	17	17	NUM
ejpam-4929	300	58	june	june	PROPN
ejpam-4929	300	59	2021	2021	NUM
ejpam-4929	301	1	[	[	X
ejpam-4929	301	2	0	0	NUM
ejpam-4929	301	3	]	]	X
ejpam-4929	301	4	m.	m.	NOUN
ejpam-4929	301	5	p.	p.	PROPN
ejpam-4929	301	6	cartmell	cartmell	PROPN
ejpam-4929	301	7	,	,	PUNCT
ejpam-4929	301	8	introduction	introduction	NOUN
ejpam-4929	301	9	to	to	ADP
ejpam-4929	301	10	linear	linear	ADJ
ejpam-4929	301	11	,	,	PUNCT
ejpam-4929	301	12	parametric	parametric	ADJ
ejpam-4929	301	13	and	and	CCONJ
ejpam-4929	301	14	nonlinear	nonlinear	ADJ
ejpam-4929	301	15	vibrations	vibration	NOUN
ejpam-4929	301	16	.	.	PUNCT
ejpam-4929	302	1	chapman	chapman	PROPN
ejpam-4929	302	2	&	&	CCONJ
ejpam-4929	302	3	hall	hall	PROPN
ejpam-4929	302	4	,	,	PUNCT
ejpam-4929	302	5	london	london	PROPN
ejpam-4929	302	6	(	(	PUNCT
ejpam-4929	302	7	1990	1990	NUM
ejpam-4929	302	8	)	)	PUNCT
ejpam-4929	302	9	.	.	PUNCT
ejpam-4929	303	1	[	[	X
ejpam-4929	303	2	0	0	X
ejpam-4929	303	3	]	]	X
ejpam-4929	303	4	a.	a.	NOUN
ejpam-4929	303	5	h.	h.	PROPN
ejpam-4929	303	6	nayfeh	nayfeh	PROPN
ejpam-4929	303	7	and	and	CCONJ
ejpam-4929	303	8	b.	b.	PROPN
ejpam-4929	303	9	balachandran	balachandran	PROPN
ejpam-4929	303	10	,	,	PUNCT
ejpam-4929	303	11	applied	apply	VERB
ejpam-4929	303	12	nonlinear	nonlinear	ADJ
ejpam-4929	303	13	dynamics	dynamic	NOUN
ejpam-4929	303	14	:	:	PUNCT
ejpam-4929	303	15	analytical	analytical	ADJ
ejpam-4929	303	16	,	,	PUNCT
ejpam-4929	303	17	computational	computational	ADJ
ejpam-4929	303	18	and	and	CCONJ
ejpam-4929	303	19	experimental	experimental	ADJ
ejpam-4929	303	20	methods	method	NOUN
ejpam-4929	303	21	.	.	PUNCT
ejpam-4929	304	1	wiley	wiley	PROPN
ejpam-4929	304	2	,	,	PUNCT
ejpam-4929	304	3	new	new	PROPN
ejpam-4929	304	4	york	york	PROPN
ejpam-4929	304	5	(	(	PUNCT
ejpam-4929	304	6	1995	1995	NUM
ejpam-4929	304	7	)	)	PUNCT
ejpam-4929	304	8	.	.	PUNCT
ejpam-4929	305	1	[	[	X
ejpam-4929	305	2	0	0	X
ejpam-4929	305	3	]	]	X
ejpam-4929	305	4	a.	a.	NOUN
ejpam-4929	305	5	h.	h.	PROPN
ejpam-4929	305	6	nayfeh	nayfeh	PROPN
ejpam-4929	305	7	,	,	PUNCT
ejpam-4929	305	8	problems	problem	NOUN
ejpam-4929	305	9	in	in	ADP
ejpam-4929	305	10	perturbation	perturbation	NOUN
ejpam-4929	305	11	.	.	PUNCT
ejpam-4929	306	1	wiley	wiley	PROPN
ejpam-4929	306	2	,	,	PUNCT
ejpam-4929	306	3	new	new	PROPN
ejpam-4929	306	4	york	york	PROPN
ejpam-4929	306	5	(	(	PUNCT
ejpam-4929	306	6	1985	1985	NUM
ejpam-4929	306	7	)	)	PUNCT
ejpam-4929	306	8	.	.	PUNCT
ejpam-4929	307	1	[	[	X
ejpam-4929	307	2	0	0	X
ejpam-4929	307	3	]	]	X
ejpam-4929	307	4	nayfeh	nayfeh	NOUN
ejpam-4929	307	5	,	,	PUNCT
ejpam-4929	307	6	a.	a.	NOUN
ejpam-4929	307	7	,	,	PUNCT
ejpam-4929	307	8	mook	mook	NOUN
ejpam-4929	307	9	,	,	PUNCT
ejpam-4929	307	10	d.	d.	PROPN
ejpam-4929	307	11	:	:	PUNCT
ejpam-4929	307	12	nonlinear	nonlinear	ADJ
ejpam-4929	307	13	oscillations	oscillation	NOUN
ejpam-4929	307	14	.	.	PUNCT
ejpam-4929	308	1	wiley	wiley	PROPN
ejpam-4929	308	2	,	,	PUNCT
ejpam-4929	308	3	new	new	PROPN
ejpam-4929	308	4	york	york	PROPN
ejpam-4929	308	5	(	(	PUNCT
ejpam-4929	308	6	1995	1995	NUM
ejpam-4929	308	7	)	)	PUNCT
ejpam-4929	308	8	.	.	PUNCT
ejpam-4929	309	1	[	[	X
ejpam-4929	309	2	0	0	X
ejpam-4929	309	3	]	]	X
ejpam-4929	309	4	y.	y.	PROPN
ejpam-4929	309	5	s.	s.	PROPN
ejpam-4929	309	6	hamed	hamed	PROPN
ejpam-4929	309	7	,	,	PUNCT
ejpam-4929	309	8	k.	k.	PROPN
ejpam-4929	309	9	m.	m.	PROPN
ejpam-4929	309	10	albogamy	albogamy	PROPN
ejpam-4929	309	11	and	and	CCONJ
ejpam-4929	309	12	m.	m.	NOUN
ejpam-4929	309	13	sayed	say	VERB
ejpam-4929	309	14	,	,	PUNCT
ejpam-4929	309	15	a	a	DET
ejpam-4929	309	16	proportional	proportional	ADJ
ejpam-4929	309	17	derivative	derivative	ADJ
ejpam-4929	309	18	(	(	PUNCT
ejpam-4929	309	19	pd	pd	NOUN
ejpam-4929	309	20	)	)	PUNCT
ejpam-4929	309	21	controller	controller	NOUN
ejpam-4929	309	22	for	for	ADP
ejpam-4929	309	23	suppression	suppression	NOUN
ejpam-4929	309	24	the	the	DET
ejpam-4929	309	25	vibrations	vibration	NOUN
ejpam-4929	309	26	of	of	ADP
ejpam-4929	309	27	a	a	DET
ejpam-4929	309	28	contact	contact	NOUN
ejpam-4929	309	29	-	-	PUNCT
ejpam-4929	309	30	mode	mode	NOUN
ejpam-4929	309	31	afm	afm	PROPN
ejpam-4929	309	32	model	model	NOUN
ejpam-4929	309	33	,	,	PUNCT
ejpam-4929	309	34	ieee	ieee	NOUN
ejpam-4929	309	35	access	access	NOUN
ejpam-4929	309	36	,	,	PUNCT
ejpam-4929	309	37	8	8	NUM
ejpam-4929	309	38	(	(	PUNCT
ejpam-4929	309	39	2020	2020	NUM
ejpam-4929	309	40	)	)	PUNCT
ejpam-4929	309	41	.	.	PUNCT
ejpam-4929	310	1	[	[	X
ejpam-4929	310	2	0	0	X
ejpam-4929	310	3	]	]	X
ejpam-4929	310	4	y.	y.	PROPN
ejpam-4929	310	5	s.	s.	PROPN
ejpam-4929	310	6	hamed	hamed	PROPN
ejpam-4929	310	7	and	and	CCONJ
ejpam-4929	310	8	ali	ali	PROPN
ejpam-4929	310	9	kandil	kandil	PROPN
ejpam-4929	310	10	,	,	PUNCT
ejpam-4929	310	11	influence	influence	NOUN
ejpam-4929	310	12	of	of	ADP
ejpam-4929	310	13	time	time	NOUN
ejpam-4929	310	14	delay	delay	NOUN
ejpam-4929	310	15	on	on	ADP
ejpam-4929	310	16	controlling	control	VERB
ejpam-4929	310	17	the	the	DET
ejpam-4929	310	18	nonlinear	nonlinear	ADJ
ejpam-4929	310	19	oscillations	oscillation	NOUN
ejpam-4929	310	20	of	of	ADP
ejpam-4929	310	21	a	a	DET
ejpam-4929	310	22	rotating	rotate	VERB
ejpam-4929	310	23	blade	blade	NOUN
ejpam-4929	310	24	,	,	PUNCT
ejpam-4929	310	25	symmetry	symmetry	NOUN
ejpam-4929	310	26	2021	2021	NUM
ejpam-4929	310	27	,	,	PUNCT
ejpam-4929	310	28	13	13	NUM
ejpam-4929	310	29	,	,	PUNCT
ejpam-4929	310	30	85	85	NUM
ejpam-4929	310	31	.	.	PUNCT
ejpam-4929	311	1	[	[	X
ejpam-4929	311	2	0	0	X
ejpam-4929	311	3	]	]	X
ejpam-4929	311	4	ali	ali	PROPN
ejpam-4929	311	5	kandi	kandi	PROPN
ejpam-4929	311	6	and	and	CCONJ
ejpam-4929	311	7	y.	y.	PROPN
ejpam-4929	311	8	s.	s.	PROPN
ejpam-4929	311	9	hamed	hamed	PROPN
ejpam-4929	311	10	,	,	PUNCT
ejpam-4929	311	11	tuned	tune	VERB
ejpam-4929	311	12	positive	positive	ADJ
ejpam-4929	311	13	position	position	NOUN
ejpam-4929	311	14	feedback	feedback	NOUN
ejpam-4929	311	15	control	control	NOUN
ejpam-4929	311	16	of	of	ADP
ejpam-4929	311	17	an	an	DET
ejpam-4929	311	18	active	active	ADJ
ejpam-4929	311	19	magnetic	magnetic	ADJ
ejpam-4929	311	20	bearings	bearing	NOUN
ejpam-4929	311	21	system	system	NOUN
ejpam-4929	311	22	with	with	ADP
ejpam-4929	311	23	16	16	NUM
ejpam-4929	311	24	-	-	PUNCT
ejpam-4929	311	25	poles	pole	NOUN
ejpam-4929	311	26	and	and	CCONJ
ejpam-4929	311	27	constant	constant	ADJ
ejpam-4929	311	28	stiffness	stiffness	NOUN
ejpam-4929	311	29	,	,	PUNCT
ejpam-4929	311	30	ieee	ieee	NOUN
ejpam-4929	311	31	access	access	NOUN
ejpam-4929	311	32	,	,	PUNCT
ejpam-4929	311	33	9	9	NUM
ejpam-4929	311	34	(	(	PUNCT
ejpam-4929	311	35	2021	2021	NUM
ejpam-4929	311	36	)	)	PUNCT
ejpam-4929	311	37	.	.	PUNCT
ejpam-4929	312	1	[	[	X
ejpam-4929	312	2	0	0	NUM
ejpam-4929	312	3	]	]	X
ejpam-4929	312	4	kandil	kandil	NOUN
ejpam-4929	312	5	,	,	PUNCT
ejpam-4929	312	6	a.	a.	PROPN
ejpam-4929	312	7	,	,	PUNCT
ejpam-4929	312	8	hamed	hamed	PROPN
ejpam-4929	312	9	,	,	PUNCT
ejpam-4929	312	10	y.s	y.s	PROPN
ejpam-4929	312	11	.	.	PROPN
ejpam-4929	312	12	,	,	PUNCT
ejpam-4929	312	13	alsharif	alsharif	NOUN
ejpam-4929	312	14	,	,	PUNCT
ejpam-4929	312	15	a.m.	a.m.	ADV
ejpam-4929	312	16	,	,	PUNCT
ejpam-4929	312	17	awrejcewicz	awrejcewicz	PROPN
ejpam-4929	312	18	,	,	PUNCT
ejpam-4929	312	19	j.	j.	PROPN
ejpam-4929	312	20	:	:	PUNCT
ejpam-4929	312	21	2d	2d	NUM
ejpam-4929	312	22	and	and	CCONJ
ejpam-4929	312	23	3d	3d	NUM
ejpam-4929	312	24	visualizations	visualization	NOUN
ejpam-4929	312	25	of	of	ADP
ejpam-4929	312	26	the	the	DET
ejpam-4929	312	27	mass	mass	ADJ
ejpam-4929	312	28	-	-	PUNCT
ejpam-4929	312	29	damper	damper	NOUN
ejpam-4929	312	30	-	-	PUNCT
ejpam-4929	312	31	spring	spring	NOUN
ejpam-4929	312	32	model	model	NOUN
ejpam-4929	312	33	dynamics	dynamic	NOUN
ejpam-4929	312	34	controlled	control	VERB
ejpam-4929	312	35	by	by	ADP
ejpam-4929	312	36	a	a	DET
ejpam-4929	312	37	servo	servo	NOUN
ejpam-4929	312	38	-	-	PUNCT
ejpam-4929	312	39	controlled	control	VERB
ejpam-4929	312	40	linear	linear	ADJ
ejpam-4929	312	41	actuator	actuator	NOUN
ejpam-4929	312	42	.	.	PUNCT
ejpam-4929	313	1	ieee	ieee	NOUN
ejpam-4929	313	2	access	access	NOUN
ejpam-4929	313	3	.	.	PUNCT
ejpam-4929	314	1	9	9	NUM
ejpam-4929	314	2	,	,	PUNCT
ejpam-4929	314	3	153012–153026	153012–153026	NUM
ejpam-4929	314	4	(	(	PUNCT
ejpam-4929	314	5	2021	2021	NUM
ejpam-4929	314	6	)	)	PUNCT
ejpam-4929	314	7	.	.	PUNCT
ejpam-4929	315	1	[	[	X
ejpam-4929	315	2	0	0	NUM
ejpam-4929	315	3	]	]	X
ejpam-4929	315	4	kandil	kandil	NOUN
ejpam-4929	315	5	,	,	PUNCT
ejpam-4929	315	6	a.	a.	PROPN
ejpam-4929	315	7	,	,	PUNCT
ejpam-4929	315	8	hamed	hamed	PROPN
ejpam-4929	315	9	,	,	PUNCT
ejpam-4929	315	10	y.s	y.s	PROPN
ejpam-4929	315	11	.	.	PROPN
ejpam-4929	315	12	,	,	PUNCT
ejpam-4929	315	13	awrejcewicz	awrejcewicz	PROPN
ejpam-4929	315	14	,	,	PUNCT
ejpam-4929	315	15	j.	j.	PROPN
ejpam-4929	315	16	:	:	PUNCT
ejpam-4929	315	17	harmonic	harmonic	ADJ
ejpam-4929	315	18	balance	balance	NOUN
ejpam-4929	315	19	method	method	NOUN
ejpam-4929	315	20	to	to	PART
ejpam-4929	315	21	analyze	analyze	VERB
ejpam-4929	315	22	the	the	DET
ejpam-4929	315	23	steady	steady	ADJ
ejpam-4929	315	24	-	-	PUNCT
ejpam-4929	315	25	state	state	NOUN
ejpam-4929	315	26	response	response	NOUN
ejpam-4929	315	27	of	of	ADP
ejpam-4929	315	28	a	a	DET
ejpam-4929	315	29	controlled	control	VERB
ejpam-4929	315	30	mass	mass	ADJ
ejpam-4929	315	31	-	-	PUNCT
ejpam-4929	315	32	damper	damper	NOUN
ejpam-4929	315	33	-	-	PUNCT
ejpam-4929	315	34	spring	spring	NOUN
ejpam-4929	315	35	model	model	NOUN
ejpam-4929	315	36	.	.	PUNCT
ejpam-4929	316	1	symmetry	symmetry	NOUN
ejpam-4929	316	2	2022	2022	NUM
ejpam-4929	316	3	,	,	PUNCT
ejpam-4929	316	4	14	14	NUM
ejpam-4929	316	5	,	,	PUNCT
ejpam-4929	316	6	1247	1247	NUM
ejpam-4929	316	7	.	.	PUNCT
ejpam-4929	317	1	appendix	appendix	VERB
ejpam-4929	317	2	2727	2727	NUM
ejpam-4929	317	3	[	[	X
ejpam-4929	317	4	0	0	NUM
ejpam-4929	317	5	]	]	X
ejpam-4929	317	6	kandil	kandil	NOUN
ejpam-4929	317	7	,	,	PUNCT
ejpam-4929	317	8	a.	a.	PROPN
ejpam-4929	317	9	,	,	PUNCT
ejpam-4929	317	10	hamed	hamed	PROPN
ejpam-4929	317	11	,	,	PUNCT
ejpam-4929	317	12	y.s	y.s	PROPN
ejpam-4929	317	13	.	.	PROPN
ejpam-4929	317	14	,	,	PUNCT
ejpam-4929	317	15	abualnaja	abualnaja	PROPN
ejpam-4929	317	16	,	,	PUNCT
ejpam-4929	317	17	khadijah	khadijah	PROPN
ejpam-4929	317	18	m.	m.	PROPN
ejpam-4929	317	19	,	,	PUNCT
ejpam-4929	317	20	bednarek	bednarek	PROPN
ejpam-4929	317	21	,	,	PUNCT
ejpam-4929	317	22	maksymilian	maksymilian	NOUN
ejpam-4929	317	23	.	.	PUNCT
ejpam-4929	318	1	,awrejcewicz	,awrejcewicz	PUNCT
ejpam-4929	318	2	,	,	PUNCT
ejpam-4929	318	3	j.:1/3	j.:1/3	PRON
ejpam-4929	318	4	order	order	VERB
ejpam-4929	318	5	subharmonic	subharmonic	ADJ
ejpam-4929	318	6	resonance	resonance	NOUN
ejpam-4929	318	7	control	control	NOUN
ejpam-4929	318	8	of	of	ADP
ejpam-4929	318	9	a	a	DET
ejpam-4929	318	10	mass	mass	ADV
ejpam-4929	318	11	-	-	PUNCT
ejpam-4929	318	12	damperspring	damperspre	VERB
ejpam-4929	318	13	model	model	NOUN
ejpam-4929	318	14	via	via	ADP
ejpam-4929	318	15	cubic	cubic	ADJ
ejpam-4929	318	16	-	-	PUNCT
ejpam-4929	318	17	position	position	NOUN
ejpam-4929	318	18	negative	negative	ADJ
ejpam-4929	318	19	-	-	PUNCT
ejpam-4929	318	20	velocity	velocity	NOUN
ejpam-4929	318	21	feedback	feedback	NOUN
ejpam-4929	318	22	.	.	PUNCT
ejpam-4929	319	1	symmetry	symmetry	NOUN
ejpam-4929	319	2	2022	2022	NUM
ejpam-4929	319	3	,	,	PUNCT
ejpam-4929	319	4	14,685	14,685	NUM
ejpam-4929	319	5	.	.	PUNCT
ejpam-4929	320	1	[	[	X
ejpam-4929	320	2	0	0	NUM
ejpam-4929	320	3	]	]	X
ejpam-4929	320	4	carl	carl	PROPN
ejpam-4929	320	5	m.	m.	PROPN
ejpam-4929	320	6	bender	bender	PROPN
ejpam-4929	320	7	,	,	PUNCT
ejpam-4929	320	8	steven	steven	PROPN
ejpam-4929	320	9	a.	a.	PROPN
ejpam-4929	320	10	orszag	orszag	PROPN
ejpam-4929	320	11	,	,	PUNCT
ejpam-4929	320	12	advanced	advanced	ADJ
ejpam-4929	320	13	mathematical	mathematical	ADJ
ejpam-4929	320	14	methods	method	NOUN
ejpam-4929	320	15	for	for	ADP
ejpam-4929	320	16	scientists	scientist	NOUN
ejpam-4929	320	17	and	and	CCONJ
ejpam-4929	320	18	engineers	engineer	NOUN
ejpam-4929	320	19	i.	i.	PROPN
ejpam-4929	320	20	springer	springer	PROPN
ejpam-4929	320	21	new	new	PROPN
ejpam-4929	320	22	york	york	PROPN
ejpam-4929	320	23	,	,	PUNCT
ejpam-4929	320	24	ny	ny	PROPN
ejpam-4929	320	25	(	(	PUNCT
ejpam-4929	320	26	1999	1999	NUM
ejpam-4929	320	27	)	)	PUNCT
ejpam-4929	320	28	.	.	PUNCT
ejpam-4929	321	1	[	[	X
ejpam-4929	321	2	0	0	X
ejpam-4929	321	3	]	]	X
ejpam-4929	321	4	s.	s.	PROPN
ejpam-4929	321	5	boi	boi	PROPN
ejpam-4929	321	6	,	,	PUNCT
ejpam-4929	321	7	a.	a.	NOUN
ejpam-4929	321	8	mazzino	mazzino	PROPN
ejpam-4929	321	9	,	,	PUNCT
ejpam-4929	321	10	and	and	CCONJ
ejpam-4929	321	11	j.	j.	PROPN
ejpam-4929	321	12	o.	o.	PROPN
ejpam-4929	321	13	pralits	pralit	NOUN
ejpam-4929	321	14	,	,	PUNCT
ejpam-4929	321	15	minimal	minimal	ADJ
ejpam-4929	321	16	model	model	NOUN
ejpam-4929	321	17	for	for	ADP
ejpam-4929	321	18	zero	zero	NUM
ejpam-4929	321	19	-	-	PUNCT
ejpam-4929	321	20	inertia	inertia	NOUN
ejpam-4929	321	21	instabilities	instability	NOUN
ejpam-4929	321	22	in	in	ADP
ejpam-4929	321	23	shear	shear	NOUN
ejpam-4929	321	24	-	-	PUNCT
ejpam-4929	321	25	dominated	dominate	VERB
ejpam-4929	321	26	non	non	ADJ
ejpam-4929	321	27	-	-	ADJ
ejpam-4929	321	28	newtonian	newtonian	ADJ
ejpam-4929	321	29	flows	flow	NOUN
ejpam-4929	321	30	,	,	PUNCT
ejpam-4929	321	31	physical	physical	ADJ
ejpam-4929	321	32	review	review	NOUN
ejpam-4929	321	33	e	e	PROPN
ejpam-4929	321	34	88	88	NUM
ejpam-4929	321	35	,	,	PUNCT
ejpam-4929	321	36	033007	033007	NUM
ejpam-4929	321	37	(	(	PUNCT
ejpam-4929	321	38	2013	2013	NUM
ejpam-4929	321	39	)	)	PUNCT
ejpam-4929	321	40	.	.	PUNCT
ejpam-4929	322	1	[	[	X
ejpam-4929	322	2	0	0	X
ejpam-4929	322	3	]	]	X
ejpam-4929	322	4	arash	arash	PROPN
ejpam-4929	322	5	hemmati	hemmati	PROPN
ejpam-4929	322	6	,	,	PUNCT
ejpam-4929	322	7	erkan	erkan	PROPN
ejpam-4929	322	8	oterkus	oterkus	PROPN
ejpam-4929	322	9	and	and	CCONJ
ejpam-4929	322	10	mahdi	mahdi	PROPN
ejpam-4929	322	11	khorasanchib	khorasanchib	PROPN
ejpam-4929	322	12	,	,	PUNCT
ejpam-4929	322	13	vibration	vibration	NOUN
ejpam-4929	322	14	suppression	suppression	NOUN
ejpam-4929	322	15	of	of	ADP
ejpam-4929	322	16	offshore	offshore	ADJ
ejpam-4929	322	17	wind	wind	NOUN
ejpam-4929	322	18	turbine	turbine	NOUN
ejpam-4929	322	19	foundations	foundation	NOUN
ejpam-4929	322	20	using	using	AUX
ejpam-4929	322	21	tuned	tune	VERB
ejpam-4929	322	22	liquid	liquid	ADJ
ejpam-4929	322	23	column	column	NOUN
ejpam-4929	322	24	dampers	damper	NOUN
ejpam-4929	322	25	and	and	CCONJ
ejpam-4929	322	26	tuned	tune	VERB
ejpam-4929	322	27	mass	mass	ADJ
ejpam-4929	322	28	dampers	damper	NOUN
ejpam-4929	322	29	ocean	ocean	PROPN
ejpam-4929	322	30	engineering	engineering	NOUN
ejpam-4929	322	31	,	,	PUNCT
ejpam-4929	322	32	172	172	NUM
ejpam-4929	322	33	(	(	PUNCT
ejpam-4929	322	34	2019	2019	NUM
ejpam-4929	322	35	)	)	PUNCT
ejpam-4929	322	36	286–295	286–295	NUM
ejpam-4929	322	37	.	.	PUNCT
ejpam-4929	323	1	[	[	X
ejpam-4929	323	2	0	0	X
ejpam-4929	323	3	]	]	X
ejpam-4929	323	4	j.	j.	PROPN
ejpam-4929	323	5	yang	yang	PROPN
ejpam-4929	323	6	,	,	PUNCT
ejpam-4929	323	7	e.m	e.m	PROPN
ejpam-4929	323	8	.	.	PUNCT
ejpam-4929	324	1	he	he	PRON
ejpam-4929	324	2	and	and	CCONJ
ejpam-4929	324	3	y.q	y.q	PROPN
ejpam-4929	324	4	.	.	PROPN
ejpam-4929	324	5	hu	hu	PROPN
ejpam-4929	324	6	,	,	PUNCT
ejpam-4929	324	7	dynamic	dynamic	ADJ
ejpam-4929	324	8	modeling	modeling	NOUN
ejpam-4929	324	9	and	and	CCONJ
ejpam-4929	324	10	vibration	vibration	NOUN
ejpam-4929	324	11	suppression	suppression	NOUN
ejpam-4929	324	12	for	for	ADP
ejpam-4929	324	13	an	an	DET
ejpam-4929	324	14	offshore	offshore	ADJ
ejpam-4929	324	15	wind	wind	NOUN
ejpam-4929	324	16	turbine	turbine	NOUN
ejpam-4929	324	17	with	with	ADP
ejpam-4929	324	18	a	a	DET
ejpam-4929	324	19	tuned	tune	VERB
ejpam-4929	324	20	mass	mass	ADJ
ejpam-4929	324	21	damper	damper	NOUN
ejpam-4929	324	22	in	in	ADP
ejpam-4929	324	23	floating	float	VERB
ejpam-4929	324	24	platform	platform	NOUN
ejpam-4929	324	25	,	,	PUNCT
ejpam-4929	324	26	applied	apply	VERB
ejpam-4929	324	27	ocean	ocean	NOUN
ejpam-4929	324	28	research	research	NOUN
ejpam-4929	324	29	83	83	NUM
ejpam-4929	324	30	(	(	PUNCT
ejpam-4929	324	31	2019	2019	NUM
ejpam-4929	324	32	)	)	PUNCT
ejpam-4929	324	33	21–29	21–29	NUM
ejpam-4929	324	34	.	.	PUNCT
ejpam-4929	325	1	[	[	X
ejpam-4929	325	2	0	0	X
ejpam-4929	325	3	]	]	X
ejpam-4929	325	4	tian	tian	ADJ
ejpam-4929	325	5	li	li	PROPN
ejpam-4929	325	6	,	,	PUNCT
ejpam-4929	325	7	zhenqing	zhenqing	PROPN
ejpam-4929	325	8	liu	liu	PROPN
ejpam-4929	325	9	,	,	PUNCT
ejpam-4929	325	10	shujie	shujie	PROPN
ejpam-4929	325	11	liu	liu	PROPN
ejpam-4929	325	12	,	,	PUNCT
ejpam-4929	325	13	yicheng	yicheng	PROPN
ejpam-4929	325	14	fan	fan	PROPN
ejpam-4929	325	15	,	,	PUNCT
ejpam-4929	325	16	qingshan	qingshan	PROPN
ejpam-4929	325	17	yang	yang	PROPN
ejpam-4929	325	18	and	and	CCONJ
ejpam-4929	325	19	hongdi	hongdi	PROPN
ejpam-4929	325	20	xiao	xiao	PROPN
ejpam-4929	325	21	,	,	PUNCT
ejpam-4929	325	22	numerical	numerical	ADJ
ejpam-4929	325	23	study	study	NOUN
ejpam-4929	325	24	on	on	ADP
ejpam-4929	325	25	passive	passive	ADJ
ejpam-4929	325	26	structural	structural	ADJ
ejpam-4929	325	27	control	control	NOUN
ejpam-4929	325	28	of	of	ADP
ejpam-4929	325	29	semi	semi	ADJ
ejpam-4929	325	30	-	-	ADJ
ejpam-4929	325	31	submersible	submersible	ADJ
ejpam-4929	325	32	floating	float	VERB
ejpam-4929	325	33	wind	wind	NOUN
ejpam-4929	325	34	turbine	turbine	NOUN
ejpam-4929	325	35	considering	consider	VERB
ejpam-4929	325	36	non	non	ADJ
ejpam-4929	325	37	-	-	ADJ
ejpam-4929	325	38	collinear	collinear	ADJ
ejpam-4929	325	39	wind	wind	NOUN
ejpam-4929	325	40	and	and	CCONJ
ejpam-4929	325	41	waves	wave	NOUN
ejpam-4929	325	42	,	,	PUNCT
ejpam-4929	325	43	ocean	ocean	NOUN
ejpam-4929	325	44	engineering	engineering	NOUN
ejpam-4929	325	45	266	266	NUM
ejpam-4929	325	46	(	(	PUNCT
ejpam-4929	325	47	2022	2022	NUM
ejpam-4929	325	48	)	)	PUNCT
ejpam-4929	325	49	112745	112745	NUM
ejpam-4929	325	50	.	.	PUNCT
ejpam-4929	326	1	[	[	X
ejpam-4929	326	2	0	0	NUM
ejpam-4929	326	3	]	]	X
ejpam-4929	326	4	valentina	valentina	PROPN
ejpam-4929	326	5	laface	laface	PROPN
ejpam-4929	326	6	,	,	PUNCT
ejpam-4929	326	7	gioacchino	gioacchino	NOUN
ejpam-4929	326	8	alotta	alotta	NOUN
ejpam-4929	326	9	,	,	PUNCT
ejpam-4929	326	10	giuseppe	giuseppe	PROPN
ejpam-4929	326	11	failla	failla	PROPN
ejpam-4929	326	12	,	,	PUNCT
ejpam-4929	326	13	carlo	carlo	PROPN
ejpam-4929	326	14	ruzzo	ruzzo	PROPN
ejpam-4929	326	15	and	and	CCONJ
ejpam-4929	326	16	felice	felice	NOUN
ejpam-4929	326	17	arena	arena	NOUN
ejpam-4929	326	18	,	,	PUNCT
ejpam-4929	326	19	a	a	PRON
ejpam-4929	326	20	two	two	NUM
ejpam-4929	326	21	-	-	PUNCT
ejpam-4929	326	22	degree	degree	NOUN
ejpam-4929	326	23	-	-	PUNCT
ejpam-4929	326	24	of	of	ADP
ejpam-4929	326	25	-	-	PUNCT
ejpam-4929	326	26	freedom	freedom	NOUN
ejpam-4929	326	27	tuned	tune	VERB
ejpam-4929	326	28	mass	mass	ADJ
ejpam-4929	326	29	damper	damper	NOUN
ejpam-4929	326	30	for	for	ADP
ejpam-4929	326	31	offshore	offshore	ADJ
ejpam-4929	326	32	wind	wind	NOUN
ejpam-4929	326	33	turbines	turbine	NOUN
ejpam-4929	326	34	on	on	ADP
ejpam-4929	326	35	floating	float	VERB
ejpam-4929	326	36	spar	spar	NOUN
ejpam-4929	326	37	supports	support	NOUN
ejpam-4929	326	38	,	,	PUNCT
ejpam-4929	326	39	marine	marine	ADJ
ejpam-4929	326	40	structures	structure	NOUN
ejpam-4929	326	41	83	83	NUM
ejpam-4929	326	42	(	(	PUNCT
ejpam-4929	326	43	2022	2022	NUM
ejpam-4929	326	44	)	)	PUNCT
ejpam-4929	326	45	103146	103146	NUM
ejpam-4929	326	46	.	.	PUNCT
ejpam-4929	327	1	[	[	X
ejpam-4929	327	2	0	0	X
ejpam-4929	327	3	]	]	X
ejpam-4929	327	4	zili	zili	PROPN
ejpam-4929	327	5	zhang	zhang	PROPN
ejpam-4929	327	6	,	,	PUNCT
ejpam-4929	327	7	vibration	vibration	NOUN
ejpam-4929	327	8	suppression	suppression	NOUN
ejpam-4929	327	9	of	of	ADP
ejpam-4929	327	10	floating	float	VERB
ejpam-4929	327	11	offshore	offshore	ADJ
ejpam-4929	327	12	wind	wind	NOUN
ejpam-4929	327	13	turbines	turbine	NOUN
ejpam-4929	327	14	using	use	VERB
ejpam-4929	327	15	electromagnetic	electromagnetic	ADJ
ejpam-4929	327	16	shunt	shunt	NOUN
ejpam-4929	327	17	tuned	tune	VERB
ejpam-4929	327	18	mass	mass	ADJ
ejpam-4929	327	19	damper	damper	NOUN
ejpam-4929	327	20	,	,	PUNCT
ejpam-4929	327	21	renewable	renewable	ADJ
ejpam-4929	327	22	energy	energy	NOUN
ejpam-4929	327	23	198	198	NUM
ejpam-4929	327	24	(	(	PUNCT
ejpam-4929	327	25	2022	2022	NUM
ejpam-4929	327	26	)	)	PUNCT
ejpam-4929	327	27	1279–1295	1279–1295	NUM
ejpam-4929	327	28	.	.	PUNCT
ejpam-4929	328	1	appendix	appendix	VERB
ejpam-4929	328	2	the	the	DET
ejpam-4929	328	3	elements	element	NOUN
ejpam-4929	328	4	rij	rij	ADJ
ejpam-4929	328	5	(	(	PUNCT
ejpam-4929	328	6	i	i	NOUN
ejpam-4929	328	7	,	,	PUNCT
ejpam-4929	328	8	j=	j=	ADV
ejpam-4929	328	9	1	1	NUM
ejpam-4929	328	10	,	,	PUNCT
ejpam-4929	328	11	·	·	PUNCT
ejpam-4929	328	12	·	·	PUNCT
ejpam-4929	329	1	·	·	PUNCT
ejpam-4929	329	2	,	,	PUNCT
ejpam-4929	329	3	4	4	NUM
ejpam-4929	329	4	)	)	PUNCT
ejpam-4929	329	5	of	of	ADP
ejpam-4929	329	6	the	the	DET
ejpam-4929	329	7	jacobian	jacobian	ADJ
ejpam-4929	329	8	matrix	matrix	NOUN
ejpam-4929	329	9	j	j	PROPN
ejpam-4929	329	10	given	give	VERB
ejpam-4929	329	11	in	in	ADP
ejpam-4929	329	12	eq	eq	ADJ
ejpam-4929	329	13	.	.	PROPN
ejpam-4929	329	14	26	26	NUM
ejpam-4929	329	15	r11	r11	NOUN
ejpam-4929	329	16	=	=	SYM
ejpam-4929	329	17	−µ1	−µ1	ADJ
ejpam-4929	329	18	2	2	NUM
ejpam-4929	329	19	,	,	PUNCT
ejpam-4929	329	20	r12	r12	NOUN
ejpam-4929	329	21	=	=	SYM
ejpam-4929	329	22	fa	fa	PROPN
ejpam-4929	329	23	2ω1	2ω1	NUM
ejpam-4929	329	24	sinθ10	sinθ10	NOUN
ejpam-4929	329	25	,	,	PUNCT
ejpam-4929	329	26	r13	r13	NOUN
ejpam-4929	329	27	=	=	SYM
ejpam-4929	329	28	β1	β1	PROPN
ejpam-4929	329	29	2ω1	2ω1	NUM
ejpam-4929	329	30	sinθ20	sinθ20	NOUN
ejpam-4929	329	31	r14	r14	NOUN
ejpam-4929	329	32	=	=	SYM
ejpam-4929	329	33	β1a20	β1a20	NOUN
ejpam-4929	329	34	2ω1	2ω1	NUM
ejpam-4929	329	35	cosθ20	cosθ20	NOUN
ejpam-4929	329	36	r21	r21	NOUN
ejpam-4929	329	37	=	=	SYM
ejpam-4929	329	38	−	−	NOUN
ejpam-4929	329	39	β1a20	β1a20	NOUN
ejpam-4929	329	40	2ω1a210	2ω1a210	NUM
ejpam-4929	329	41	cosθ20	cosθ20	NOUN
ejpam-4929	329	42	+	+	CCONJ
ejpam-4929	329	43	fa	fa	PROPN
ejpam-4929	329	44	2ω1a210	2ω1a210	NUM
ejpam-4929	329	45	sinθ10	sinθ10	NOUN
ejpam-4929	329	46	,	,	PUNCT
ejpam-4929	329	47	r22	r22	NOUN
ejpam-4929	329	48	=	=	SYM
ejpam-4929	329	49	−	−	PROPN
ejpam-4929	329	50	fa	fa	PROPN
ejpam-4929	329	51	2ω1a10	2ω1a10	NUM
ejpam-4929	329	52	cosθ10	cosθ10	NOUN
ejpam-4929	329	53	,	,	PUNCT
ejpam-4929	329	54	r23	r23	NOUN
ejpam-4929	329	55	=	=	SYM
ejpam-4929	329	56	β1	β1	PROPN
ejpam-4929	329	57	2ω1a10	2ω1a10	NUM
ejpam-4929	329	58	cosθ20	cosθ20	NOUN
ejpam-4929	329	59	,	,	PUNCT
ejpam-4929	329	60	r24	r24	NOUN
ejpam-4929	329	61	=	=	SYM
ejpam-4929	329	62	−	−	PROPN
ejpam-4929	329	63	β1a20	β1a20	NOUN
ejpam-4929	329	64	2ω1a10	2ω1a10	NUM
ejpam-4929	329	65	sinθ20	sinθ20	NOUN
ejpam-4929	329	66	r31	r31	NOUN
ejpam-4929	330	1	=	=	PUNCT
ejpam-4929	330	2	−	−	PROPN
ejpam-4929	330	3	β2	β2	ADJ
ejpam-4929	330	4	2ω2	2ω2	NUM
ejpam-4929	330	5	sinθ20	sinθ20	NOUN
ejpam-4929	330	6	,	,	PUNCT
ejpam-4929	330	7	r32	r32	NOUN
ejpam-4929	330	8	=	=	SYM
ejpam-4929	330	9	0	0	NUM
ejpam-4929	330	10	,	,	PUNCT
ejpam-4929	330	11	r33	r33	NUM
ejpam-4929	330	12	=	=	SYM
ejpam-4929	330	13	−µ2	−µ2	NOUN
ejpam-4929	330	14	2	2	NUM
ejpam-4929	330	15	r34	r34	NOUN
ejpam-4929	330	16	=	=	SYM
ejpam-4929	330	17	−β2a10	−β2a10	PROPN
ejpam-4929	330	18	2ω2	2ω2	NUM
ejpam-4929	330	19	cosθ20	cosθ20	NOUN
ejpam-4929	330	20	r41	r41	NOUN
ejpam-4929	330	21	=	=	SYM
ejpam-4929	331	1	−	−	PROPN
ejpam-4929	331	2	β2	β2	NOUN
ejpam-4929	331	3	2ω2a20	2ω2a20	NUM
ejpam-4929	331	4	cosθ20	cosθ20	NOUN
ejpam-4929	331	5	−	−	NOUN
ejpam-4929	331	6	β1a20	β1a20	NOUN
ejpam-4929	331	7	2ω1a210	2ω1a210	NUM
ejpam-4929	331	8	cosθ20	cosθ20	NOUN
ejpam-4929	331	9	+	+	CCONJ
ejpam-4929	331	10	fa	fa	PROPN
ejpam-4929	331	11	2ω1a210	2ω1a210	NUM
ejpam-4929	331	12	sinθ10	sinθ10	NOUN
ejpam-4929	331	13	,	,	PUNCT
ejpam-4929	331	14	r42	r42	NOUN
ejpam-4929	331	15	=	=	SYM
ejpam-4929	331	16	−	−	PROPN
ejpam-4929	331	17	fa	fa	PROPN
ejpam-4929	331	18	2ω1a10	2ω1a10	NUM
ejpam-4929	331	19	cosθ10	cosθ10	NOUN
ejpam-4929	331	20	r43	r43	NOUN
ejpam-4929	331	21	=	=	SYM
ejpam-4929	331	22	β2a10	β2a10	ADP
ejpam-4929	331	23	2ω2a220	2ω2a220	NUM
ejpam-4929	331	24	cosθ20	cosθ20	NOUN
ejpam-4929	331	25	+	+	CCONJ
ejpam-4929	331	26	θ1	θ1	NOUN
ejpam-4929	331	27	2θ1a10	2θ1a10	NUM
ejpam-4929	331	28	cosθ20	cosθ20	NOUN
ejpam-4929	331	29	,	,	PUNCT
ejpam-4929	331	30	r44	r44	NOUN
ejpam-4929	331	31	=	=	SYM
ejpam-4929	331	32	β2a10	β2a10	ADP
ejpam-4929	331	33	2ω2a20	2ω2a20	NUM
ejpam-4929	331	34	sinθ20	sinθ20	NOUN
ejpam-4929	331	35	−	−	NOUN
ejpam-4929	331	36	β1a20	β1a20	NOUN
ejpam-4929	331	37	2ω1a10	2ω1a10	NUM
ejpam-4929	331	38	sinθ20	sinθ20	NOUN
ejpam-4929	331	39	appendix	appendix	VERB
ejpam-4929	331	40	2728	2728	NUM
ejpam-4929	331	41	the	the	DET
ejpam-4929	331	42	elements	element	NOUN
ejpam-4929	331	43	ri	ri	X
ejpam-4929	331	44	(	(	PUNCT
ejpam-4929	331	45	i=	i=	PROPN
ejpam-4929	331	46	1	1	NUM
ejpam-4929	331	47	,	,	PUNCT
ejpam-4929	331	48	·	·	PUNCT
ejpam-4929	331	49	·	·	PUNCT
ejpam-4929	331	50	·	·	PUNCT
ejpam-4929	331	51	,	,	PUNCT
ejpam-4929	331	52	4	4	NUM
ejpam-4929	331	53	)	)	PUNCT
ejpam-4929	331	54	of	of	ADP
ejpam-4929	331	55	eq	eq	NOUN
ejpam-4929	331	56	.	.	PROPN
ejpam-4929	331	57	27	27	NUM
ejpam-4929	331	58	:	:	PUNCT
ejpam-4929	331	59	r1=	r1=	NOUN
ejpam-4929	331	60	−	−	PROPN
ejpam-4929	332	1	∑4	∑4	PROPN
ejpam-4929	333	1	i=1	i=1	PROPN
ejpam-4929	333	2	rii	rii	VERB
ejpam-4929	333	3	r2=	r2=	PROPN
ejpam-4929	333	4	1	1	NUM
ejpam-4929	333	5	2	2	NUM
ejpam-4929	333	6	!	!	PUNCT
ejpam-4929	334	1	∑4	∑4	PROPN
ejpam-4929	334	2	i=1	i=1	PROPN
ejpam-4929	335	1	∑4	∑4	PROPN
ejpam-4929	336	1	j=1	j=1	PROPN
ejpam-4929	336	2	riirjj−rijrji	riirjj−rijrji	PROPN
ejpam-4929	336	3	r3=	r3=	PROPN
ejpam-4929	336	4	−	−	PROPN
ejpam-4929	336	5	1	1	NUM
ejpam-4929	336	6	3	3	NUM
ejpam-4929	336	7	!	!	PUNCT
ejpam-4929	337	1	∑4	∑4	PROPN
ejpam-4929	337	2	i=1	i=1	PROPN
ejpam-4929	338	1	∑4	∑4	INTJ
ejpam-4929	339	1	j=1	j=1	NOUN
ejpam-4929	339	2	∑4	∑4	INTJ
ejpam-4929	340	1	k=1	k=1	PROPN
ejpam-4929	340	2	riirjjrkk−3riirjkrkj+2rijrjkrki	riirjjrkk−3riirjkrkj+2rijrjkrki	VERB
ejpam-4929	340	3	r4=	r4=	PROPN
ejpam-4929	340	4	1	1	NUM
ejpam-4929	340	5	4	4	NUM
ejpam-4929	340	6	!	!	PUNCT
ejpam-4929	341	1	∑4	∑4	PROPN
ejpam-4929	341	2	i=1	i=1	PROPN
ejpam-4929	342	1	∑4	∑4	INTJ
ejpam-4929	343	1	j=1	j=1	NOUN
ejpam-4929	344	1	∑4	∑4	INTJ
ejpam-4929	345	1	k=1	k=1	X
ejpam-4929	345	2	∑4	∑4	INTJ
ejpam-4929	346	1	l=1	l=1	X
ejpam-4929	346	2	riirjjrkkrll−6riirjjrklrlk+8riirjkrklrlj+3rijrjirklrlk−6rijrjkrklrli	riirjjrkkrll−6riirjjrklrlk+8riirjkrklrlj+3rijrjirklrlk−6rijrjkrklrli	NOUN