id	sid	tid	token	lemma	pos
alkej-156	1	1	علي	علي	PROPN
alkej-156	1	2	طالب	طالب	NOUN
alkej-156	1	3	وعماد	وعماد	ADJ
alkej-156	1	4	وقاسم	وقاسم	NOUN
alkej-156	1	5	al	al	PROPN
alkej-156	1	6	-	-	PUNCT
alkej-156	1	7	khwarizmi	khwarizmi	PROPN
alkej-156	1	8	engineering	engineering	PROPN
alkej-156	1	9	journal	journal	PROPN
alkej-156	1	10	al	al	PROPN
alkej-156	1	11	-	-	PUNCT
alkej-156	1	12	khwarizmi	khwarizmi	PROPN
alkej-156	1	13	engineering	engineering	NOUN
alkej-156	1	14	journal	journal	PROPN
alkej-156	1	15	,	,	PUNCT
alkej-156	1	16	vol	vol	NOUN
alkej-156	1	17	.	.	PROPN
alkej-156	1	18	9	9	NUM
alkej-156	1	19	,	,	PUNCT
alkej-156	1	20	no	no	INTJ
alkej-156	1	21	.	.	NOUN
alkej-156	1	22	1	1	NUM
alkej-156	1	23	,	,	PUNCT
alkej-156	1	24	p.p	p.p	PROPN
alkej-156	1	25	.	.	PROPN
alkej-156	1	26	29	29	NUM
alkej-156	1	27	-	-	SYM
alkej-156	1	28	38	38	NUM
alkej-156	1	29	(	(	PUNCT
alkej-156	1	30	2013	2013	NUM
alkej-156	1	31	)	)	PUNCT
alkej-156	1	32	aircraft	aircraft	NOUN
alkej-156	1	33	lateral	lateral	ADJ
alkej-156	1	34	-	-	PUNCT
alkej-156	1	35	directional	directional	ADJ
alkej-156	1	36	stability	stability	NOUN
alkej-156	1	37	in	in	ADP
alkej-156	1	38	critical	critical	ADJ
alkej-156	1	39	cases	case	NOUN
alkej-156	1	40	via	via	ADP
alkej-156	1	41	lyapunov	lyapunov	ADJ
alkej-156	1	42	exponent	exponent	NOUN
alkej-156	1	43	criterion	criterion	NOUN
alkej-156	1	44	emad	emad	PROPN
alkej-156	1	45	n.abdulwahab	n.abdulwahab	PROPN
alkej-156	1	46	*	*	PUNCT
alkej-156	1	47	qasim	qasim	PROPN
alkej-156	1	48	a.atiyah	a.atiyah	NOUN
alkej-156	1	49	*	*	NOUN
alkej-156	1	50	*	*	PROPN
alkej-156	1	51	ali	ali	PROPN
alkej-156	1	52	talib	talib	PROPN
alkej-156	1	53	abd	abd	PROPN
alkej-156	1	54	alzahra	alzahra	PROPN
alkej-156	1	55	*	*	PROPN
alkej-156	1	56	*	*	PROPN
alkej-156	1	57	*	*	PUNCT
alkej-156	1	58	*	*	PUNCT
alkej-156	1	59	,	,	PUNCT
alkej-156	1	60	*	*	PUNCT
alkej-156	1	61	*	*	PUNCT
alkej-156	1	62	,	,	PUNCT
alkej-156	1	63	*	*	PUNCT
alkej-156	1	64	*	*	PUNCT
alkej-156	1	65	*	*	PUNCT
alkej-156	1	66	department	department	NOUN
alkej-156	1	67	of	of	ADP
alkej-156	1	68	machines	machine	NOUN
alkej-156	1	69	and	and	CCONJ
alkej-156	1	70	equipment/	equipment/	NUM
alkej-156	1	71	university	university	NOUN
alkej-156	1	72	of	of	ADP
alkej-156	1	73	technology	technology	NOUN
alkej-156	1	74	*	*	NOUN
alkej-156	1	75	email	email	NOUN
alkej-156	1	76	:	:	PUNCT
alkej-156	1	77	emadaabd@yahoo.com	emadaabd@yahoo.com	X
alkej-156	1	78	*	*	PUNCT
alkej-156	1	79	*	*	NOUN
alkej-156	1	80	email	email	NOUN
alkej-156	1	81	:	:	PUNCT
alkej-156	1	82	dr_qasim_uot@yahoo.com	dr_qasim_uot@yahoo.com	X
alkej-156	1	83	*	*	PUNCT
alkej-156	1	84	*	*	PUNCT
alkej-156	1	85	*	*	NOUN
alkej-156	1	86	email	email	NOUN
alkej-156	1	87	:	:	PUNCT
alkej-156	1	88	alitalib84@gmail.com	alitalib84@gmail.com	X
alkej-156	1	89	(	(	PUNCT
alkej-156	1	90	received	receive	VERB
alkej-156	1	91	13	13	NUM
alkej-156	1	92	december	december	PROPN
alkej-156	1	93	2011	2011	NUM
alkej-156	1	94	;	;	PUNCT
alkej-156	1	95	accepted	accept	VERB
alkej-156	1	96	20	20	NUM
alkej-156	1	97	december	december	PROPN
alkej-156	1	98	2012	2012	NUM
alkej-156	1	99	)	)	PUNCT
alkej-156	1	100	abstract	abstract	ADV
alkej-156	1	101	based	base	VERB
alkej-156	1	102	on	on	ADP
alkej-156	1	103	lyapunov	lyapunov	PROPN
alkej-156	1	104	exponent	exponent	NOUN
alkej-156	1	105	criterion	criterion	NOUN
alkej-156	1	106	,	,	PUNCT
alkej-156	1	107	the	the	DET
alkej-156	1	108	aircraft	aircraft	NOUN
alkej-156	1	109	lateral	lateral	ADJ
alkej-156	1	110	-	-	PUNCT
alkej-156	1	111	directional	directional	ADJ
alkej-156	1	112	stability	stability	NOUN
alkej-156	1	113	during	during	ADP
alkej-156	1	114	critical	critical	ADJ
alkej-156	1	115	flight	flight	NOUN
alkej-156	1	116	cases	case	NOUN
alkej-156	1	117	is	be	AUX
alkej-156	1	118	presented	present	VERB
alkej-156	1	119	.	.	PUNCT
alkej-156	2	1	a	a	DET
alkej-156	2	2	periodic	periodic	ADJ
alkej-156	2	3	motion	motion	NOUN
alkej-156	2	4	or	or	CCONJ
alkej-156	2	5	limit	limit	VERB
alkej-156	2	6	cycle	cycle	NOUN
alkej-156	2	7	oscillation	oscillation	NOUN
alkej-156	2	8	isdisplayed	isdisplaye	VERB
alkej-156	2	9	.	.	PUNCT
alkej-156	3	1	a	a	DET
alkej-156	3	2	candidate	candidate	NOUN
alkej-156	3	3	mechanism	mechanism	NOUN
alkej-156	3	4	for	for	ADP
alkej-156	3	5	the	the	DET
alkej-156	3	6	wing	wing	NOUN
alkej-156	3	7	rock	rock	NOUN
alkej-156	3	8	limit	limit	NOUN
alkej-156	3	9	cycle	cycle	NOUN
alkej-156	3	10	is	be	AUX
alkej-156	3	11	the	the	DET
alkej-156	3	12	inertia	inertia	NOUN
alkej-156	3	13	coupling	coupling	NOUN
alkej-156	3	14	between	between	ADP
alkej-156	3	15	an	an	DET
alkej-156	3	16	unstable	unstable	ADJ
alkej-156	3	17	lateral	lateral	ADJ
alkej-156	3	18	-	-	PUNCT
alkej-156	3	19	directional	directional	ADJ
alkej-156	3	20	(	(	PUNCT
alkej-156	3	21	dutch	dutch	ADJ
alkej-156	3	22	roll	roll	NOUN
alkej-156	3	23	)	)	PUNCT
alkej-156	3	24	mode	mode	NOUN
alkej-156	3	25	with	with	ADP
alkej-156	3	26	stable	stable	ADJ
alkej-156	3	27	longitudinal	longitudinal	ADJ
alkej-156	3	28	(	(	PUNCT
alkej-156	3	29	short	short	ADJ
alkej-156	3	30	period	period	NOUN
alkej-156	3	31	)	)	PUNCT
alkej-156	3	32	mode	mode	NOUN
alkej-156	3	33	.	.	PUNCT
alkej-156	4	1	the	the	DET
alkej-156	4	2	coupling	coupling	NOUN
alkej-156	4	3	mechanism	mechanism	NOUN
alkej-156	4	4	is	be	AUX
alkej-156	4	5	provided	provide	VERB
alkej-156	4	6	by	by	ADP
alkej-156	4	7	the	the	DET
alkej-156	4	8	nonlinear	nonlinear	ADJ
alkej-156	4	9	interaction	interaction	NOUN
alkej-156	4	10	of	of	ADP
alkej-156	4	11	motion	motion	NOUN
alkej-156	4	12	related	relate	VERB
alkej-156	4	13	terms	term	NOUN
alkej-156	4	14	in	in	ADP
alkej-156	4	15	the	the	DET
alkej-156	4	16	complete	complete	ADJ
alkej-156	4	17	set	set	VERB
alkej-156	4	18	equations	equation	NOUN
alkej-156	4	19	of	of	ADP
alkej-156	4	20	motion	motion	NOUN
alkej-156	4	21	.	.	PUNCT
alkej-156	5	1	to	to	PART
alkej-156	5	2	analyze	analyze	VERB
alkej-156	5	3	the	the	DET
alkej-156	5	4	state	state	NOUN
alkej-156	5	5	variables	variable	NOUN
alkej-156	5	6	of	of	ADP
alkej-156	5	7	the	the	DET
alkej-156	5	8	system	system	NOUN
alkej-156	5	9	,	,	PUNCT
alkej-156	5	10	the	the	DET
alkej-156	5	11	complete	complete	ADJ
alkej-156	5	12	set	set	NOUN
alkej-156	5	13	of	of	ADP
alkej-156	5	14	nonlinear	nonlinear	ADJ
alkej-156	5	15	equations	equation	NOUN
alkej-156	5	16	of	of	ADP
alkej-156	5	17	motion	motion	NOUN
alkej-156	5	18	at	at	ADP
alkej-156	5	19	different	different	ADJ
alkej-156	5	20	high	high	ADJ
alkej-156	5	21	angles	angle	NOUN
alkej-156	5	22	of	of	ADP
alkej-156	5	23	attack	attack	NOUN
alkej-156	5	24	are	be	AUX
alkej-156	5	25	solved	solve	VERB
alkej-156	5	26	.	.	PUNCT
alkej-156	6	1	a	a	DET
alkej-156	6	2	novel	novel	ADJ
alkej-156	6	3	analysis	analysis	NOUN
alkej-156	6	4	including	include	VERB
alkej-156	6	5	the	the	DET
alkej-156	6	6	variation	variation	NOUN
alkej-156	6	7	of	of	ADP
alkej-156	6	8	roll	roll	NOUN
alkej-156	6	9	angle	angle	NOUN
alkej-156	6	10	as	as	ADP
alkej-156	6	11	a	a	DET
alkej-156	6	12	function	function	NOUN
alkej-156	6	13	of	of	ADP
alkej-156	6	14	angle	angle	NOUN
alkej-156	6	15	of	of	ADP
alkej-156	6	16	attack	attack	NOUN
alkej-156	6	17	is	be	AUX
alkej-156	6	18	proposed	propose	VERB
alkej-156	6	19	.	.	PUNCT
alkej-156	7	1	furthermore	furthermore	ADV
alkej-156	7	2	the	the	DET
alkej-156	7	3	variation	variation	NOUN
alkej-156	7	4	of	of	ADP
alkej-156	7	5	lyapunov	lyapunov	ADJ
alkej-156	7	6	exponent	exponent	NOUN
alkej-156	7	7	parameter	parameter	NOUN
alkej-156	7	8	as	as	ADP
alkej-156	7	9	function	function	NOUN
alkej-156	7	10	of	of	ADP
alkej-156	7	11	time	time	NOUN
alkej-156	7	12	is	be	AUX
alkej-156	7	13	introduced	introduce	VERB
alkej-156	7	14	.	.	PUNCT
alkej-156	8	1	the	the	DET
alkej-156	8	2	numerical	numerical	ADJ
alkej-156	8	3	result	result	NOUN
alkej-156	8	4	indicated	indicate	VERB
alkej-156	8	5	that	that	SCONJ
alkej-156	8	6	the	the	DET
alkej-156	8	7	system	system	NOUN
alkej-156	8	8	became	became	AUX
alkej-156	8	9	lightly	lightly	ADV
alkej-156	8	10	damped	damp	VERB
alkej-156	8	11	at	at	ADP
alkej-156	8	12	high	high	ADJ
alkej-156	8	13	angle	angle	NOUN
alkej-156	8	14	of	of	ADP
alkej-156	8	15	attack	attack	NOUN
alkej-156	8	16	with	with	ADP
alkej-156	8	17	increasing	increase	VERB
alkej-156	8	18	the	the	DET
alkej-156	8	19	amplitude	amplitude	NOUN
alkej-156	8	20	of	of	ADP
alkej-156	8	21	aircraft	aircraft	NOUN
alkej-156	8	22	state	state	NOUN
alkej-156	8	23	variables	variable	NOUN
alkej-156	8	24	limit	limit	VERB
alkej-156	8	25	cycle	cycle	NOUN
alkej-156	8	26	.	.	PUNCT
alkej-156	9	1	a	a	DET
alkej-156	9	2	good	good	ADJ
alkej-156	9	3	agreement	agreement	NOUN
alkej-156	9	4	between	between	ADP
alkej-156	9	5	the	the	DET
alkej-156	9	6	numerical	numerical	ADJ
alkej-156	9	7	result	result	NOUN
alkej-156	9	8	and	and	CCONJ
alkej-156	9	9	published	publish	VERB
alkej-156	9	10	work	work	NOUN
alkej-156	9	11	is	be	AUX
alkej-156	9	12	obtained	obtain	VERB
alkej-156	9	13	for	for	ADP
alkej-156	9	14	the	the	DET
alkej-156	9	15	onset	onset	NOUN
alkej-156	9	16	of	of	ADP
alkej-156	9	17	limit	limit	NOUN
alkej-156	9	18	cycle	cycle	NOUN
alkej-156	9	19	oscillation	oscillation	NOUN
alkej-156	9	20	,	,	PUNCT
alkej-156	9	21	almost	almost	ADV
alkej-156	9	22	at	at	ADP
alkej-156	9	23	(	(	PUNCT
alkej-156	9	24	=	=	NOUN
alkej-156	9	25	20	20	NUM
alkej-156	9	26	°	°	NUM
alkej-156	9	27	−	−	PROPN
alkej-156	9	28	23	23	NUM
alkej-156	9	29	°	°	NUM
alkej-156	9	30	)	)	PUNCT
alkej-156	9	31	.	.	PUNCT
alkej-156	10	1	keywords	keyword	NOUN
alkej-156	10	2	:	:	PUNCT
alkej-156	10	3	wing	wing	NOUN
alkej-156	10	4	rock	rock	NOUN
alkej-156	10	5	;	;	PUNCT
alkej-156	10	6	nonlinear	nonlinear	ADJ
alkej-156	10	7	dynamic	dynamic	ADJ
alkej-156	10	8	system	system	NOUN
alkej-156	10	9	;	;	PUNCT
alkej-156	10	10	limit	limit	VERB
alkej-156	10	11	cycle	cycle	NOUN
alkej-156	10	12	oscillation	oscillation	NOUN
alkej-156	10	13	.	.	PUNCT
alkej-156	11	1	1	1	X
alkej-156	11	2	.	.	X
alkej-156	11	3	introduction	introduction	NOUN
alkej-156	11	4	the	the	DET
alkej-156	11	5	wing	wing	NOUN
alkej-156	11	6	rock	rock	NOUN
alkej-156	11	7	phenomenon	phenomenon	NOUN
alkej-156	11	8	is	be	AUX
alkej-156	11	9	a	a	DET
alkej-156	11	10	self	self	NOUN
alkej-156	11	11	-	-	PUNCT
alkej-156	11	12	sustained	sustain	VERB
alkej-156	11	13	oscillatory	oscillatory	ADJ
alkej-156	11	14	mode	mode	NOUN
alkej-156	11	15	,	,	PUNCT
alkej-156	11	16	typical	typical	ADJ
alkej-156	11	17	of	of	ADP
alkej-156	11	18	several	several	ADJ
alkej-156	11	19	modern	modern	ADJ
alkej-156	11	20	high	high	ADJ
alkej-156	11	21	performance	performance	NOUN
alkej-156	11	22	aircraft	aircraft	NOUN
alkej-156	11	23	which	which	PRON
alkej-156	11	24	exhibit	exhibit	VERB
alkej-156	11	25	constant	constant	ADJ
alkej-156	11	26	amplitude	amplitude	NOUN
alkej-156	11	27	rolling	roll	VERB
alkej-156	11	28	oscillations	oscillation	NOUN
alkej-156	11	29	at	at	ADP
alkej-156	11	30	moderate	moderate	ADJ
alkej-156	11	31	and	and	CCONJ
alkej-156	11	32	high	high	ADJ
alkej-156	11	33	angle	angle	NOUN
alkej-156	11	34	of	of	ADP
alkej-156	11	35	attack	attack	NOUN
alkej-156	11	36	.	.	PUNCT
alkej-156	12	1	such	such	ADJ
alkej-156	12	2	dynamic	dynamic	ADJ
alkej-156	12	3	systems	system	NOUN
alkej-156	12	4	typically	typically	ADV
alkej-156	12	5	possess	possess	VERB
alkej-156	12	6	a	a	DET
alkej-156	12	7	limit	limit	NOUN
alkej-156	12	8	cycle	cycle	NOUN
alkej-156	12	9	which	which	PRON
alkej-156	12	10	becomes	become	VERB
alkej-156	12	11	stable	stable	ADJ
alkej-156	12	12	after	after	ADP
alkej-156	12	13	a	a	DET
alkej-156	12	14	buildup	buildup	NOUN
alkej-156	12	15	phase	phase	NOUN
alkej-156	12	16	.	.	PUNCT
alkej-156	13	1	these	these	DET
alkej-156	13	2	oscillations	oscillation	NOUN
alkej-156	13	3	are	be	AUX
alkej-156	13	4	sustained	sustain	VERB
alkej-156	13	5	around	around	ADP
alkej-156	13	6	a	a	DET
alkej-156	13	7	state	state	NOUN
alkej-156	13	8	at	at	ADP
alkej-156	13	9	which	which	PRON
alkej-156	13	10	the	the	DET
alkej-156	13	11	energy	energy	NOUN
alkej-156	13	12	generation	generation	NOUN
alkej-156	13	13	at	at	ADP
alkej-156	13	14	lower	low	ADJ
alkej-156	13	15	amplitudes	amplitude	NOUN
alkej-156	13	16	and	and	CCONJ
alkej-156	13	17	the	the	DET
alkej-156	13	18	dissipation	dissipation	NOUN
alkej-156	13	19	at	at	ADP
alkej-156	13	20	larger	large	ADJ
alkej-156	13	21	amplitudes	amplitude	NOUN
alkej-156	13	22	are	be	AUX
alkej-156	13	23	balanced	balance	VERB
alkej-156	13	24	[	[	X
alkej-156	13	25	1	1	NUM
alkej-156	13	26	]	]	PUNCT
alkej-156	13	27	.	.	PUNCT
alkej-156	14	1	while	while	SCONJ
alkej-156	14	2	maneuvering	maneuver	VERB
alkej-156	14	3	at	at	ADP
alkej-156	14	4	angle	angle	NOUN
alkej-156	14	5	of	of	ADP
alkej-156	14	6	attack	attack	NOUN
alkej-156	14	7	,	,	PUNCT
alkej-156	14	8	many	many	ADJ
alkej-156	14	9	high	high	ADJ
alkej-156	14	10	performance	performance	NOUN
alkej-156	14	11	aircraft	aircraft	NOUN
alkej-156	14	12	can	can	AUX
alkej-156	14	13	experience	experience	VERB
alkej-156	14	14	a	a	DET
alkej-156	14	15	self	self	NOUN
alkej-156	14	16	-	-	PUNCT
alkej-156	14	17	induced	induce	VERB
alkej-156	14	18	limit	limit	NOUN
alkej-156	14	19	cycle	cycle	NOUN
alkej-156	14	20	roll	roll	NOUN
alkej-156	14	21	oscillation	oscillation	NOUN
alkej-156	14	22	called	call	VERB
alkej-156	14	23	a	a	DET
alkej-156	14	24	wing	wing	NOUN
alkej-156	14	25	rock	rock	NOUN
alkej-156	14	26	.	.	PUNCT
alkej-156	15	1	this	this	DET
alkej-156	15	2	unwanted	unwanted	ADJ
alkej-156	15	3	motion	motion	NOUN
alkej-156	15	4	may	may	AUX
alkej-156	15	5	result	result	VERB
alkej-156	15	6	in	in	ADP
alkej-156	15	7	limitations	limitation	NOUN
alkej-156	15	8	being	be	AUX
alkej-156	15	9	placed	place	VERB
alkej-156	15	10	on	on	ADP
alkej-156	15	11	the	the	DET
alkej-156	15	12	aircraft	aircraft	NOUN
alkej-156	15	13	's	's	PART
alkej-156	15	14	flight	flight	NOUN
alkej-156	15	15	envelop	envelop	NOUN
alkej-156	15	16	[	[	X
alkej-156	15	17	2	2	NUM
alkej-156	15	18	]	]	PUNCT
alkej-156	15	19	.	.	PUNCT
alkej-156	16	1	the	the	DET
alkej-156	16	2	wing	wing	NOUN
alkej-156	16	3	rock	rock	NOUN
alkej-156	16	4	may	may	AUX
alkej-156	16	5	diminish	diminish	VERB
alkej-156	16	6	the	the	DET
alkej-156	16	7	flight	flight	NOUN
alkej-156	16	8	effectiveness	effectiveness	NOUN
alkej-156	16	9	or	or	CCONJ
alkej-156	16	10	even	even	ADV
alkej-156	16	11	present	present	VERB
alkej-156	16	12	a	a	DET
alkej-156	16	13	serious	serious	ADJ
alkej-156	16	14	danger	danger	NOUN
alkej-156	16	15	due	due	ADP
alkej-156	16	16	to	to	ADP
alkej-156	16	17	potential	potential	ADJ
alkej-156	16	18	instability	instability	NOUN
alkej-156	16	19	of	of	ADP
alkej-156	16	20	aircraft	aircraft	NOUN
alkej-156	16	21	[	[	X
alkej-156	16	22	3	3	NUM
alkej-156	16	23	]	]	PUNCT
alkej-156	16	24	.	.	PUNCT
alkej-156	17	1	the	the	DET
alkej-156	17	2	wing	wing	NOUN
alkej-156	17	3	rock	rock	NOUN
alkej-156	17	4	is	be	AUX
alkej-156	17	5	undesirable	undesirable	ADJ
alkej-156	17	6	because	because	SCONJ
alkej-156	17	7	the	the	DET
alkej-156	17	8	oscillatory	oscillatory	ADJ
alkej-156	17	9	motion	motion	NOUN
alkej-156	17	10	has	have	VERB
alkej-156	17	11	an	an	DET
alkej-156	17	12	adverse	adverse	ADJ
alkej-156	17	13	effect	effect	NOUN
alkej-156	17	14	on	on	ADP
alkej-156	17	15	maneuverability	maneuverability	NOUN
alkej-156	17	16	and	and	CCONJ
alkej-156	17	17	reduces	reduce	VERB
alkej-156	17	18	the	the	DET
alkej-156	17	19	tracking	tracking	NOUN
alkej-156	17	20	accuracy	accuracy	NOUN
alkej-156	17	21	[	[	X
alkej-156	17	22	4	4	NUM
alkej-156	17	23	]	]	PUNCT
alkej-156	17	24	.	.	PUNCT
alkej-156	18	1	from	from	ADP
alkej-156	18	2	dynamics	dynamic	NOUN
alkej-156	18	3	view	view	NOUN
alkej-156	18	4	,	,	PUNCT
alkej-156	18	5	aerodynamic	aerodynamic	ADJ
alkej-156	18	6	stability	stability	NOUN
alkej-156	18	7	derivatives	derivative	NOUN
alkej-156	18	8	show	show	VERB
alkej-156	18	9	that	that	SCONJ
alkej-156	18	10	the	the	DET
alkej-156	18	11	wing	wing	NOUN
alkej-156	18	12	rock	rock	NOUN
alkej-156	18	13	is	be	AUX
alkej-156	18	14	related	relate	VERB
alkej-156	18	15	to	to	ADP
alkej-156	18	16	instability	instability	NOUN
alkej-156	18	17	in	in	ADP
alkej-156	18	18	dutch	dutch	ADJ
alkej-156	18	19	roll	roll	NOUN
alkej-156	18	20	mode	mode	NOUN
alkej-156	18	21	of	of	ADP
alkej-156	18	22	motion	motion	NOUN
alkej-156	18	23	of	of	ADP
alkej-156	18	24	aircraft	aircraft	NOUN
alkej-156	18	25	[	[	X
alkej-156	18	26	4	4	NUM
alkej-156	18	27	]	]	PUNCT
alkej-156	18	28	.	.	PUNCT
alkej-156	19	1	studies	study	NOUN
alkej-156	19	2	of	of	ADP
alkej-156	19	3	the	the	DET
alkej-156	19	4	candidate	candidate	NOUN
alkej-156	19	5	wing	wing	NOUN
alkej-156	19	6	rock	rock	NOUN
alkej-156	19	7	mechanism	mechanism	NOUN
alkej-156	19	8	showed	show	VERB
alkej-156	19	9	that	that	SCONJ
alkej-156	19	10	the	the	DET
alkej-156	19	11	unstable	unstable	ADJ
alkej-156	19	12	lateral	lateral	ADJ
alkej-156	19	13	-	-	PUNCT
alkej-156	19	14	directional	directional	ADJ
alkej-156	19	15	(	(	PUNCT
alkej-156	19	16	dutch	dutch	ADJ
alkej-156	19	17	roll	roll	NOUN
alkej-156	19	18	)	)	PUNCT
alkej-156	19	19	mode	mode	NOUN
alkej-156	19	20	,	,	PUNCT
alkej-156	19	21	when	when	SCONJ
alkej-156	19	22	inertial	inertial	NOUN
alkej-156	19	23	coupled	couple	VERB
alkej-156	19	24	with	with	ADP
alkej-156	19	25	a	a	DET
alkej-156	19	26	stable	stable	ADJ
alkej-156	19	27	longitudinal	longitudinal	ADJ
alkej-156	19	28	(	(	PUNCT
alkej-156	19	29	short	short	ADJ
alkej-156	19	30	period	period	NOUN
alkej-156	19	31	)	)	PUNCT
alkej-156	19	32	mode	mode	NOUN
alkej-156	19	33	,	,	PUNCT
alkej-156	19	34	can	can	AUX
alkej-156	19	35	establish	establish	VERB
alkej-156	19	36	a	a	DET
alkej-156	19	37	stable	stable	ADJ
alkej-156	19	38	response	response	NOUN
alkej-156	19	39	(	(	PUNCT
alkej-156	19	40	limit	limit	NOUN
alkej-156	19	41	cycle	cycle	NOUN
alkej-156	19	42	)	)	PUNCT
alkej-156	19	43	in	in	ADP
alkej-156	19	44	sense	sense	NOUN
alkej-156	19	45	of	of	ADP
alkej-156	19	46	lyapunov[4].brad	lyapunov[4].brad	PROPN
alkej-156	19	47	s.liebst	s.liebst	PROPN
alkej-156	19	48	studied	study	VERB
alkej-156	19	49	the	the	DET
alkej-156	19	50	trigger	trigger	NOUN
alkej-156	19	51	mailto:emadaabd@yahoo.com	mailto:emadaabd@yahoo.com	X
alkej-156	19	52	mailto:dr_qasim_uot@yahoo.com	mailto:dr_qasim_uot@yahoo.com	PROPN
alkej-156	19	53	mailto:alitalib84@gmail.com	mailto:alitalib84@gmail.com	PROPN
alkej-156	19	54	emad	emad	PROPN
alkej-156	19	55	n.abdulwahab	n.abdulwahab	PART
alkej-156	20	1	al	al	PROPN
alkej-156	20	2	-	-	PUNCT
alkej-156	20	3	khwarizmi	khwarizmi	PROPN
alkej-156	20	4	engineering	engineering	NOUN
alkej-156	20	5	journal	journal	PROPN
alkej-156	20	6	,	,	PUNCT
alkej-156	20	7	vol	vol	NOUN
alkej-156	20	8	.	.	PROPN
alkej-156	20	9	9	9	NUM
alkej-156	20	10	,	,	PUNCT
alkej-156	20	11	no	no	INTJ
alkej-156	20	12	.	.	NOUN
alkej-156	20	13	1	1	NUM
alkej-156	20	14	,	,	PUNCT
alkej-156	20	15	p.p	p.p	PROPN
alkej-156	20	16	.	.	PROPN
alkej-156	20	17	29	29	NUM
alkej-156	20	18	-	-	SYM
alkej-156	20	19	38	38	NUM
alkej-156	20	20	(	(	PUNCT
alkej-156	20	21	2013	2013	NUM
alkej-156	20	22	)	)	PUNCT
alkej-156	20	23	30	30	NUM
alkej-156	20	24	parameter	parameter	NOUN
alkej-156	20	25	and	and	CCONJ
alkej-156	20	26	a	a	DET
alkej-156	20	27	simple	simple	ADJ
alkej-156	20	28	procedure	procedure	NOUN
alkej-156	20	29	developed	develop	VERB
alkej-156	20	30	to	to	PART
alkej-156	20	31	predict	predict	VERB
alkej-156	20	32	the	the	DET
alkej-156	20	33	onset	onset	NOUN
alkej-156	20	34	of	of	ADP
alkej-156	20	35	a	a	DET
alkej-156	20	36	wing	wing	NOUN
alkej-156	20	37	rock	rock	NOUN
alkej-156	20	38	[	[	X
alkej-156	20	39	5].chung	5].chung	PROPN
alkej-156	20	40	-	-	PUNCT
alkej-156	20	41	hao	hao	PROPN
alkej-156	20	42	hsu	hsu	PROPN
alkej-156	20	43	studied	study	VERB
alkej-156	20	44	the	the	DET
alkej-156	20	45	aerodynamic	aerodynamic	ADJ
alkej-156	20	46	mathematical	mathematical	ADJ
alkej-156	20	47	model	model	NOUN
alkej-156	20	48	to	to	PART
alkej-156	20	49	calculate	calculate	VERB
alkej-156	20	50	the	the	DET
alkej-156	20	51	wing	wing	NOUN
alkej-156	20	52	rock	rock	NOUN
alkej-156	20	53	characteristics	characteristic	NOUN
alkej-156	20	54	.	.	PUNCT
alkej-156	21	1	the	the	DET
alkej-156	21	2	resulting	result	VERB
alkej-156	21	3	nonlinear	nonlinear	ADJ
alkej-156	21	4	flight	flight	NOUN
alkej-156	21	5	dynamics	dynamic	NOUN
alkej-156	21	6	equations	equation	NOUN
alkej-156	21	7	of	of	ADP
alkej-156	21	8	both	both	DET
alkej-156	21	9	one	one	NUM
alkej-156	21	10	and	and	CCONJ
alkej-156	21	11	three	three	NUM
alkej-156	21	12	degree	degree	NOUN
alkej-156	21	13	of	of	ADP
alkej-156	21	14	freedom	freedom	NOUN
alkej-156	21	15	are	be	AUX
alkej-156	21	16	solved	solve	VERB
alkej-156	21	17	with	with	ADP
alkej-156	21	18	beecham	beecham	PROPN
alkej-156	21	19	-	-	PUNCT
alkej-156	21	20	titchener	titchener	NOUN
alkej-156	21	21	asymptotic	asymptotic	ADJ
alkej-156	21	22	method	method	NOUN
alkej-156	21	23	for	for	ADP
alkej-156	21	24	limit	limit	NOUN
alkej-156	21	25	cycle	cycle	NOUN
alkej-156	21	26	amplitude	amplitude	NOUN
alkej-156	21	27	and	and	CCONJ
alkej-156	21	28	wing	wing	NOUN
alkej-156	21	29	rock	rock	NOUN
alkej-156	21	30	frequency[6	frequency[6	NOUN
alkej-156	21	31	]	]	PUNCT
alkej-156	21	32	.	.	PUNCT
alkej-156	22	1	emad	emad	PROPN
alkej-156	22	2	n.	n.	PROPN
alkej-156	22	3	studied	study	VERB
alkej-156	22	4	the	the	DET
alkej-156	22	5	behavior	behavior	NOUN
alkej-156	22	6	of	of	ADP
alkej-156	22	7	a	a	DET
alkej-156	22	8	limit	limit	NOUN
alkej-156	22	9	cycle	cycle	NOUN
alkej-156	22	10	wing	wing	NOUN
alkej-156	22	11	rock	rock	NOUN
alkej-156	22	12	motion	motion	NOUN
alkej-156	22	13	resulting	result	VERB
alkej-156	22	14	from	from	ADP
alkej-156	22	15	new	new	ADJ
alkej-156	22	16	couple	couple	NOUN
alkej-156	22	17	effect	effect	NOUN
alkej-156	22	18	including	include	VERB
alkej-156	22	19	dihedral	dihedral	ADJ
alkej-156	22	20	effect	effect	NOUN
alkej-156	22	21	derivative	derivative	ADJ
alkej-156	22	22	and	and	CCONJ
alkej-156	22	23	directional	directional	ADJ
alkej-156	22	24	stability	stability	NOUN
alkej-156	22	25	derivative[7	derivative[7	NOUN
alkej-156	22	26	]	]	PUNCT
alkej-156	22	27	.	.	PUNCT
alkej-156	23	1	the	the	DET
alkej-156	23	2	present	present	ADJ
alkej-156	23	3	work	work	NOUN
alkej-156	23	4	focused	focus	VERB
alkej-156	23	5	on	on	ADP
alkej-156	23	6	the	the	DET
alkej-156	23	7	variation	variation	NOUN
alkej-156	23	8	of	of	ADP
alkej-156	23	9	the	the	DET
alkej-156	23	10	aircraft	aircraft	NOUN
alkej-156	23	11	state	state	NOUN
alkej-156	23	12	variables	variable	NOUN
alkej-156	23	13	limit	limit	VERB
alkej-156	23	14	cycle	cycle	NOUN
alkej-156	23	15	amplitude	amplitude	NOUN
alkej-156	23	16	at	at	ADP
alkej-156	23	17	different	different	ADJ
alkej-156	23	18	values	value	NOUN
alkej-156	23	19	of	of	ADP
alkej-156	23	20	the	the	DET
alkej-156	23	21	angles	angle	NOUN
alkej-156	23	22	of	of	ADP
alkej-156	23	23	attack	attack	NOUN
alkej-156	23	24	.	.	PUNCT
alkej-156	24	1	the	the	DET
alkej-156	24	2	numerical	numerical	ADJ
alkej-156	24	3	results	result	NOUN
alkej-156	24	4	indicated	indicate	VERB
alkej-156	24	5	that	that	SCONJ
alkej-156	24	6	the	the	DET
alkej-156	24	7	system	system	NOUN
alkej-156	24	8	became	become	VERB
alkej-156	24	9	more	more	ADV
alkej-156	24	10	lightly	lightly	ADV
alkej-156	24	11	damped	damp	VERB
alkej-156	24	12	at	at	ADP
alkej-156	24	13	an	an	DET
alkej-156	24	14	angle	angle	NOUN
alkej-156	24	15	of	of	ADP
alkej-156	24	16	attack	attack	NOUN
alkej-156	24	17	α	α	NOUN
alkej-156	24	18	=	=	NOUN
alkej-156	24	19	20	20	NUM
alkej-156	24	20	°	°	NUM
alkej-156	24	21	−	−	PROPN
alkej-156	24	22	23	23	NUM
alkej-156	24	23	°	°	NOUN
alkej-156	24	24	.	.	PUNCT
alkej-156	25	1	the	the	DET
alkej-156	25	2	variation	variation	NOUN
alkej-156	25	3	of	of	ADP
alkej-156	25	4	lyapunov	lyapunov	ADJ
alkej-156	25	5	exponent	exponent	NOUN
alkej-156	25	6	parameter	parameter	NOUN
alkej-156	25	7	as	as	ADP
alkej-156	25	8	a	a	DET
alkej-156	25	9	function	function	NOUN
alkej-156	25	10	of	of	ADP
alkej-156	25	11	time	time	NOUN
alkej-156	25	12	to	to	PART
alkej-156	25	13	predict	predict	VERB
alkej-156	25	14	the	the	DET
alkej-156	25	15	stability	stability	NOUN
alkej-156	25	16	of	of	ADP
alkej-156	25	17	aircraft	aircraft	NOUN
alkej-156	25	18	is	be	AUX
alkej-156	25	19	presented	present	VERB
alkej-156	25	20	.	.	PUNCT
alkej-156	26	1	2	2	X
alkej-156	26	2	.	.	X
alkej-156	26	3	aerodynamic	aerodynamic	ADJ
alkej-156	26	4	model	model	NOUN
alkej-156	26	5	the	the	DET
alkej-156	26	6	high	high	ADJ
alkej-156	26	7	performance	performance	NOUN
alkej-156	26	8	baseline	baseline	NOUN
alkej-156	26	9	aircraft	aircraft	NOUN
alkej-156	26	10	,	,	PUNCT
alkej-156	26	11	f-15	f-15	PROPN
alkej-156	26	12	with	with	ADP
alkej-156	26	13	mach	mach	NOUN
alkej-156	26	14	number=0.6	number=0.6	ADP
alkej-156	26	15	and	and	CCONJ
alkej-156	26	16	height=10.6	height=10.6	PROPN
alkej-156	26	17	km	km	NOUN
alkej-156	26	18	,	,	PUNCT
alkej-156	26	19	was	be	AUX
alkej-156	26	20	taken	take	VERB
alkej-156	26	21	into	into	ADP
alkej-156	26	22	consideration	consideration	NOUN
alkej-156	26	23	in	in	ADP
alkej-156	26	24	the	the	DET
alkej-156	26	25	present	present	ADJ
alkej-156	26	26	work	work	NOUN
alkej-156	26	27	.	.	PUNCT
alkej-156	27	1	the	the	DET
alkej-156	27	2	aircraft	aircraft	NOUN
alkej-156	27	3	fixed	fix	VERB
alkej-156	27	4	-	-	PUNCT
alkej-156	27	5	coordinate	coordinate	NOUN
alkej-156	27	6	systems	system	NOUN
alkej-156	27	7	,	,	PUNCT
alkej-156	27	8	geometrical	geometrical	ADJ
alkej-156	27	9	configuration	configuration	NOUN
alkej-156	27	10	,	,	PUNCT
alkej-156	27	11	inertia	inertia	NOUN
alkej-156	27	12	properties	property	NOUN
alkej-156	27	13	and	and	CCONJ
alkej-156	27	14	the	the	DET
alkej-156	27	15	aerodynamic	aerodynamic	ADJ
alkej-156	27	16	model	model	NOUN
alkej-156	27	17	are	be	AUX
alkej-156	27	18	a	a	DET
alkej-156	27	19	hybrid	hybrid	NOUN
alkej-156	27	20	from	from	ADP
alkej-156	27	21	references	reference	NOUN
alkej-156	27	22	[	[	X
alkej-156	27	23	8	8	NUM
alkej-156	27	24	]	]	PUNCT
alkej-156	27	25	,	,	PUNCT
alkej-156	27	26	[	[	X
alkej-156	27	27	9	9	NUM
alkej-156	27	28	]	]	PUNCT
alkej-156	27	29	and	and	CCONJ
alkej-156	28	1	[	[	X
alkej-156	28	2	10].these	10].these	NUM
alkej-156	28	3	values	value	NOUN
alkej-156	28	4	are	be	AUX
alkej-156	28	5	listed	list	VERB
alkej-156	28	6	in	in	ADP
alkej-156	28	7	table[a	table[a	NOUN
alkej-156	28	8	]	]	PUNCT
alkej-156	28	9	.	.	PUNCT
alkej-156	29	1	summaries	summary	NOUN
alkej-156	29	2	of	of	ADP
alkej-156	29	3	estimated	estimate	VERB
alkej-156	29	4	lift	lift	NOUN
alkej-156	29	5	coefficient	coefficient	NOUN
alkej-156	29	6	lc	lc	PROPN
alkej-156	29	7	,	,	PUNCT
alkej-156	29	8	drag	drag	VERB
alkej-156	29	9	coefficient	coefficient	NOUN
alkej-156	29	10	dc	dc	PROPN
alkej-156	29	11	are	be	AUX
alkej-156	29	12	shown	show	VERB
alkej-156	29	13	in	in	ADP
alkej-156	29	14	figs	fig	NOUN
alkej-156	29	15	.	.	PUNCT
alkej-156	30	1	1	1	NUM
alkej-156	30	2	to	to	ADP
alkej-156	30	3	2	2	NUM
alkej-156	30	4	,	,	PUNCT
alkej-156	30	5	respectively	respectively	ADV
alkej-156	30	6	.	.	PUNCT
alkej-156	31	1	table	table	NOUN
alkej-156	31	2	a	a	PRON
alkej-156	31	3	,	,	PUNCT
alkej-156	31	4	geometrical	geometrical	ADJ
alkej-156	31	5	configuration	configuration	NOUN
alkej-156	31	6	,	,	PUNCT
alkej-156	31	7	inertia	inertia	NOUN
alkej-156	31	8	properties	property	NOUN
alkej-156	31	9	and	and	CCONJ
alkej-156	31	10	the	the	DET
alkej-156	31	11	aerodynamic	aerodynamic	ADJ
alkej-156	31	12	model	model	NOUN
alkej-156	31	13	for	for	ADP
alkej-156	31	14	f-15	f-15	PROPN
alkej-156	31	15	aircraft	aircraft	NOUN
alkej-156	31	16	:	:	PUNCT
alkej-156	31	17	wing	wing	NOUN
alkej-156	31	18	area	area	NOUN
alkej-156	31	19	(	(	PUNCT
alkej-156	31	20	m2	m2	PROPN
alkej-156	31	21	)	)	PUNCT
alkej-156	31	22	56.485	56.485	NUM
alkej-156	31	23	wing	wing	NOUN
alkej-156	31	24	span	span	NOUN
alkej-156	31	25	(	(	PUNCT
alkej-156	31	26	m	m	NOUN
alkej-156	31	27	)	)	PUNCT
alkej-156	31	28	13.045	13.045	NUM
alkej-156	31	29	mean	mean	NOUN
alkej-156	31	30	chord	chord	NOUN
alkej-156	31	31	(	(	PUNCT
alkej-156	31	32	m	m	NOUN
alkej-156	31	33	)	)	PUNCT
alkej-156	31	34	4.861	4.861	NUM
alkej-156	31	35	vehicle	vehicle	NOUN
alkej-156	31	36	weight	weight	NOUN
alkej-156	31	37	(	(	PUNCT
alkej-156	31	38	kg	kg	NOUN
alkej-156	31	39	)	)	PUNCT
alkej-156	31	40	18522.44	18522.44	NUM
alkej-156	31	41	ixx	ixx	NOUN
alkej-156	31	42	(	(	PUNCT
alkej-156	31	43	kg.m2	kg.m2	NOUN
alkej-156	31	44	)	)	PUNCT
alkej-156	31	45	38968.9	38968.9	NUM
alkej-156	31	46	iyy	iyy	NOUN
alkej-156	31	47	(	(	PUNCT
alkej-156	31	48	kg.m2	kg.m2	NOUN
alkej-156	31	49	)	)	PUNCT
alkej-156	31	50	224172.8	224172.8	NUM
alkej-156	31	51	izz(kg.m2	izz(kg.m2	NOUN
alkej-156	31	52	)	)	PUNCT
alkej-156	31	53	255130.7	255130.7	NUM
alkej-156	31	54	aspect	aspect	NOUN
alkej-156	31	55	ratio	ratio	NOUN
alkej-156	31	56	3.0	3.0	NUM
alkej-156	31	57	3.4385	3.4385	NUM
alkej-156	31	58	0.0315	0.0315	NUM
alkej-156	31	59	fig	fig	NOUN
alkej-156	31	60	.	.	PUNCT
alkej-156	32	1	1	1	X
alkej-156	32	2	.	.	X
alkej-156	32	3	lift	lift	NOUN
alkej-156	32	4	coefficient	coefficient	PROPN
alkej-156	32	5	emad	emad	PROPN
alkej-156	32	6	n.abdulwahab	n.abdulwahab	PART
alkej-156	33	1	al	al	PROPN
alkej-156	33	2	-	-	PUNCT
alkej-156	33	3	khwarizmi	khwarizmi	PROPN
alkej-156	33	4	engineering	engineering	NOUN
alkej-156	33	5	journal	journal	PROPN
alkej-156	33	6	,	,	PUNCT
alkej-156	33	7	vol	vol	NOUN
alkej-156	33	8	.	.	PROPN
alkej-156	33	9	9	9	NUM
alkej-156	33	10	,	,	PUNCT
alkej-156	33	11	no	no	INTJ
alkej-156	33	12	.	.	NOUN
alkej-156	33	13	1	1	NUM
alkej-156	33	14	,	,	PUNCT
alkej-156	33	15	p.p	p.p	PROPN
alkej-156	33	16	.	.	PROPN
alkej-156	33	17	29	29	NUM
alkej-156	33	18	-	-	SYM
alkej-156	33	19	38	38	NUM
alkej-156	33	20	(	(	PUNCT
alkej-156	33	21	2013	2013	NUM
alkej-156	33	22	)	)	PUNCT
alkej-156	33	23	31	31	NUM
alkej-156	33	24	fig	fig	NOUN
alkej-156	33	25	.	.	PUNCT
alkej-156	34	1	2	2	X
alkej-156	34	2	.	.	X
alkej-156	34	3	drag	drag	NOUN
alkej-156	34	4	coefficient	coefficient	NOUN
alkej-156	34	5	the	the	DET
alkej-156	34	6	aerodynamic	aerodynamic	ADJ
alkej-156	34	7	model	model	NOUN
alkej-156	34	8	is	be	AUX
alkej-156	34	9	based	base	VERB
alkej-156	34	10	on	on	ADP
alkej-156	34	11	the	the	DET
alkej-156	34	12	representative	representative	ADJ
alkej-156	34	13	experimental	experimental	ADJ
alkej-156	34	14	and	and	CCONJ
alkej-156	34	15	flight	flight	NOUN
alkej-156	34	16	test	test	NOUN
alkej-156	34	17	data	datum	NOUN
alkej-156	34	18	[	[	X
alkej-156	34	19	8].the	8].the	DET
alkej-156	34	20	stability	stability	NOUN
alkej-156	34	21	derivatives	derivative	NOUN
alkej-156	34	22	are	be	AUX
alkej-156	34	23	estimated	estimate	VERB
alkej-156	34	24	according	accord	VERB
alkej-156	34	25	to	to	ADP
alkej-156	34	26	the	the	DET
alkej-156	34	27	mathematical	mathematical	ADJ
alkej-156	34	28	relations	relation	NOUN
alkej-156	34	29	:	:	PUNCT
alkej-156	34	30	stability	stability	NOUN
alkej-156	34	31	derivatives	derivative	NOUN
alkej-156	34	32	of	of	ADP
alkej-156	34	33	equations	equation	NOUN
alkej-156	34	34	:	:	PUNCT
alkej-156	35	1	=	=	SYM
alkej-156	35	2	…	…	PUNCT
alkej-156	35	3	(	(	PUNCT
alkej-156	35	4	1	1	NUM
alkej-156	35	5	)	)	PUNCT
alkej-156	35	6	=	=	NOUN
alkej-156	35	7	…	…	PUNCT
alkej-156	35	8	(	(	PUNCT
alkej-156	35	9	2	2	NUM
alkej-156	35	10	)	)	PUNCT
alkej-156	35	11	=	=	SYM
alkej-156	35	12	−	−	PROPN
alkej-156	35	13	(	(	PUNCT
alkej-156	35	14	+	+	NUM
alkej-156	35	15	)	)	PUNCT
alkej-156	35	16	…	…	PUNCT
alkej-156	35	17	(	(	PUNCT
alkej-156	35	18	3	3	NUM
alkej-156	35	19	)	)	PUNCT
alkej-156	35	20	=	=	NOUN
alkej-156	35	21	…	…	PUNCT
alkej-156	35	22	(	(	PUNCT
alkej-156	35	23	4	4	NUM
alkej-156	35	24	)	)	PUNCT
alkej-156	35	25	=	=	SYM
alkej-156	35	26	…	…	PUNCT
alkej-156	35	27	(	(	PUNCT
alkej-156	35	28	5	5	NUM
alkej-156	35	29	)	)	PUNCT
alkej-156	35	30	=	=	NOUN
alkej-156	35	31	…	…	PUNCT
alkej-156	35	32	(	(	PUNCT
alkej-156	35	33	6	6	NUM
alkej-156	35	34	)	)	PUNCT
alkej-156	35	35	=	=	NOUN
alkej-156	35	36	…	…	PUNCT
alkej-156	35	37	(	(	PUNCT
alkej-156	35	38	7	7	NUM
alkej-156	35	39	)	)	PUNCT
alkej-156	35	40	=	=	SYM
alkej-156	35	41	…	…	PUNCT
alkej-156	35	42	(	(	PUNCT
alkej-156	35	43	8)	8)	NUM
alkej-156	35	44	=	=	SYM
alkej-156	35	45	…	…	PUNCT
alkej-156	35	46	(	(	PUNCT
alkej-156	35	47	9	9	NUM
alkej-156	35	48	)	)	PUNCT
alkej-156	35	49	=	=	NOUN
alkej-156	35	50	…	…	PUNCT
alkej-156	35	51	(	(	PUNCT
alkej-156	35	52	10	10	NUM
alkej-156	35	53	)	)	SYM
alkej-156	35	54	3	3	NUM
alkej-156	35	55	.	.	PUNCT
alkej-156	35	56	nonlinear	nonlinear	ADJ
alkej-156	35	57	equations	equation	NOUN
alkej-156	35	58	of	of	ADP
alkej-156	35	59	motion	motion	NOUN
alkej-156	35	60	model	model	NOUN
alkej-156	35	61	the	the	DET
alkej-156	35	62	aircraft	aircraft	NOUN
alkej-156	35	63	simulation	simulation	NOUN
alkej-156	35	64	model	model	NOUN
alkej-156	35	65	represents	represent	VERB
alkej-156	35	66	f-15	f-15	PROPN
alkej-156	35	67	fighter	fighter	NOUN
alkej-156	35	68	aircraft	aircraft	NOUN
alkej-156	35	69	which	which	PRON
alkej-156	35	70	is	be	AUX
alkej-156	35	71	considereda	considereda	NOUN
alkej-156	35	72	nonlinear	nonlinear	ADJ
alkej-156	35	73	modal	modal	NOUN
alkej-156	35	74	in	in	ADP
alkej-156	35	75	flight	flight	NOUN
alkej-156	35	76	dynamics	dynamic	NOUN
alkej-156	35	77	system	system	NOUN
alkej-156	35	78	.	.	PUNCT
alkej-156	36	1	therefore	therefore	ADV
alkej-156	36	2	,	,	PUNCT
alkej-156	36	3	the	the	DET
alkej-156	36	4	behavior	behavior	NOUN
alkej-156	36	5	of	of	ADP
alkej-156	36	6	the	the	DET
alkej-156	36	7	flight	flight	NOUN
alkej-156	36	8	regime	regime	NOUN
alkej-156	36	9	model	model	NOUN
alkej-156	36	10	aircraft	aircraft	NOUN
alkej-156	36	11	may	may	AUX
alkej-156	36	12	consider	consider	VERB
alkej-156	36	13	the	the	DET
alkej-156	36	14	limit	limit	NOUN
alkej-156	36	15	cycle	cycle	NOUN
alkej-156	36	16	or	or	CCONJ
alkej-156	36	17	another	another	DET
alkej-156	36	18	periodic	periodic	ADJ
alkej-156	36	19	motion	motion	NOUN
alkej-156	36	20	.	.	PUNCT
alkej-156	37	1	the	the	DET
alkej-156	37	2	wing	wing	NOUN
alkej-156	37	3	rock	rock	NOUN
alkej-156	37	4	is	be	AUX
alkej-156	37	5	one	one	NUM
alkej-156	37	6	of	of	ADP
alkej-156	37	7	the	the	DET
alkej-156	37	8	limit	limit	NOUN
alkej-156	37	9	cycle	cycle	NOUN
alkej-156	37	10	motions	motion	NOUN
alkej-156	37	11	.	.	PUNCT
alkej-156	38	1	the	the	DET
alkej-156	38	2	aircraft	aircraft	NOUN
alkej-156	38	3	model	model	NOUN
alkej-156	38	4	(	(	PUNCT
alkej-156	38	5	f-15	f-15	PROPN
alkej-156	38	6	fighter	fighter	NOUN
alkej-156	38	7	aircraft	aircraft	NOUN
alkej-156	38	8	)	)	PUNCT
alkej-156	38	9	is	be	AUX
alkej-156	38	10	a	a	DET
alkej-156	38	11	nonlinear	nonlinear	ADJ
alkej-156	38	12	state	state	NOUN
alkej-156	38	13	space	space	NOUN
alkej-156	38	14	system	system	NOUN
alkej-156	38	15	,	,	PUNCT
alkej-156	38	16	considering	consider	VERB
alkej-156	38	17	small	small	ADJ
alkej-156	38	18	perturbations	perturbation	NOUN
alkej-156	38	19	around	around	ADP
alkej-156	38	20	the	the	DET
alkej-156	38	21	trim	trim	NOUN
alkej-156	38	22	conditions	condition	NOUN
alkej-156	38	23	.	.	PUNCT
alkej-156	39	1	the	the	DET
alkej-156	39	2	lateral	lateral	ADJ
alkej-156	39	3	-	-	PUNCT
alkej-156	39	4	directional	directional	ADJ
alkej-156	39	5	system	system	NOUN
alkej-156	39	6	in	in	ADP
alkej-156	39	7	general	general	ADJ
alkej-156	39	8	form	form	NOUN
alkej-156	39	9	can	can	AUX
alkej-156	39	10	be	be	AUX
alkej-156	39	11	defined	define	VERB
alkej-156	39	12	as	as	ADP
alkej-156	39	13	[	[	X
alkej-156	39	14	11	11	NUM
alkej-156	39	15	]	]	SYM
alkej-156	39	16	:	:	PUNCT
alkej-156	39	17	̇	̇	NOUN
alkej-156	39	18	=	=	PUNCT
alkej-156	40	1	[	[	PUNCT
alkej-156	40	2	]	]	X
alkej-156	40	3	{	{	PUNCT
alkej-156	40	4	}	}	PUNCT
alkej-156	40	5	+	+	PROPN
alkej-156	40	6	[	[	PUNCT
alkej-156	40	7	]	]	X
alkej-156	40	8	{	{	PUNCT
alkej-156	40	9	}	}	PUNCT
alkej-156	40	10	…	…	PUNCT
alkej-156	40	11	(	(	PUNCT
alkej-156	40	12	11	11	NUM
alkej-156	40	13	)	)	PUNCT
alkej-156	40	14	where	where	SCONJ
alkej-156	40	15	[	[	PUNCT
alkej-156	40	16	]	]	X
alkej-156	40	17	=	=	SYM
alkej-156	40	18	lateral	lateral	ADJ
alkej-156	40	19	-	-	PUNCT
alkej-156	40	20	directional	directional	ADJ
alkej-156	40	21	plant	plant	NOUN
alkej-156	40	22	matrix	matrix	NOUN
alkej-156	40	23	,	,	PUNCT
alkej-156	40	24	[	[	PUNCT
alkej-156	40	25	]	]	X
alkej-156	40	26	=	=	SYM
alkej-156	40	27	control	control	NOUN
alkej-156	40	28	effectiveness	effectiveness	NOUN
alkej-156	40	29	matrix	matrix	NOUN
alkej-156	40	30	,	,	PUNCT
alkej-156	40	31	{	{	PUNCT
alkej-156	40	32	}	}	PUNCT
alkej-156	40	33	=	=	NUM
alkej-156	40	34	lateral	lateral	ADJ
alkej-156	40	35	-	-	PUNCT
alkej-156	40	36	directional	directional	ADJ
alkej-156	40	37	state	state	NOUN
alkej-156	40	38	vector	vector	NOUN
alkej-156	40	39	,	,	PUNCT
alkej-156	40	40	[	[	PUNCT
alkej-156	40	41	∅	∅	NOUN
alkej-156	40	42	]	]	PUNCT
alkej-156	40	43	,	,	PUNCT
alkej-156	40	44	{	{	PUNCT
alkej-156	40	45	}	}	PUNCT
alkej-156	40	46	=	=	PUNCT
alkej-156	40	47	control	control	NOUN
alkej-156	40	48	input	input	NOUN
alkej-156	40	49	,	,	PUNCT
alkej-156	40	50	[	[	PUNCT
alkej-156	40	51	]	]	X
alkej-156	40	52	;	;	PUNCT
alkej-156	40	53	is	be	AUX
alkej-156	40	54	the	the	DET
alkej-156	40	55	sideslip	sideslip	NOUN
alkej-156	40	56	angle	angle	NOUN
alkej-156	40	57	,	,	PUNCT
alkej-156	40	58	p	p	NOUN
alkej-156	40	59	is	be	AUX
alkej-156	40	60	the	the	DET
alkej-156	40	61	roll	roll	NOUN
alkej-156	40	62	rate	rate	NOUN
alkej-156	40	63	,	,	PUNCT
alkej-156	40	64	is	be	AUX
alkej-156	40	65	the	the	DET
alkej-156	40	66	roll	roll	NOUN
alkej-156	40	67	angle	angle	NOUN
alkej-156	40	68	,	,	PUNCT
alkej-156	40	69	ris	ris	X
alkej-156	40	70	the	the	DET
alkej-156	40	71	yaw	yaw	NOUN
alkej-156	40	72	rate	rate	NOUN
alkej-156	40	73	and	and	CCONJ
alkej-156	40	74	,	,	PUNCT
alkej-156	40	75	are	be	AUX
alkej-156	40	76	the	the	DET
alkej-156	40	77	rudders	rudder	NOUN
alkej-156	40	78	,	,	PUNCT
alkej-156	40	79	aileron	aileron	NOUN
alkej-156	40	80	control	control	NOUN
alkej-156	40	81	angles	angle	NOUN
alkej-156	40	82	,	,	PUNCT
alkej-156	40	83	respectively	respectively	ADV
alkej-156	40	84	.	.	PUNCT
alkej-156	41	1	if	if	SCONJ
alkej-156	41	2	only	only	ADJ
alkej-156	41	3	rudder	rudder	NOUN
alkej-156	41	4	or	or	CCONJ
alkej-156	41	5	aileron	aileron	NOUN
alkej-156	41	6	control	control	NOUN
alkej-156	41	7	were	be	AUX
alkej-156	41	8	under	under	ADP
alkej-156	41	9	consideration	consideration	NOUN
alkej-156	41	10	,	,	PUNCT
alkej-156	41	11	then	then	ADV
alkej-156	41	12	the	the	DET
alkej-156	41	13	control	control	NOUN
alkej-156	41	14	input	input	NOUN
alkej-156	41	15	would	would	AUX
alkej-156	41	16	simplify	simplify	VERB
alkej-156	41	17	to	to	ADP
alkej-156	41	18	a	a	DET
alkej-156	41	19	single	single	ADJ
alkej-156	41	20	(	(	PUNCT
alkej-156	41	21	scalar	scalar	ADJ
alkej-156	41	22	)	)	PUNCT
alkej-156	41	23	value	value	NOUN
alkej-156	41	24	.	.	PUNCT
alkej-156	42	1	the	the	DET
alkej-156	42	2	uncoupled	uncoupled	ADJ
alkej-156	42	3	set	set	NOUN
alkej-156	42	4	of	of	ADP
alkej-156	42	5	nonlinear	nonlinear	ADJ
alkej-156	42	6	equations	equation	NOUN
alkej-156	42	7	of	of	ADP
alkej-156	42	8	motion	motion	NOUN
alkej-156	42	9	was	be	AUX
alkej-156	42	10	[	[	X
alkej-156	42	11	12	12	NUM
alkej-156	42	12	]	]	X
alkej-156	42	13	:	:	PUNCT
alkej-156	42	14	̇	̇	NOUN
alkej-156	42	15	=	=	PUNCT
alkej-156	42	16	[	[	PUNCT
alkej-156	42	17	]	]	X
alkej-156	42	18	{	{	PUNCT
alkej-156	42	19	}	}	PUNCT
alkej-156	42	20	…	…	PUNCT
alkej-156	42	21	(	(	PUNCT
alkej-156	42	22	12	12	NUM
alkej-156	42	23	)	)	PUNCT
alkej-156	42	24	̇	̇	NOUN
alkej-156	42	25	=	=	SYM
alkej-156	42	26	…	…	PUNCT
alkej-156	42	27	(	(	PUNCT
alkej-156	42	28	13	13	NUM
alkej-156	42	29	)	)	PUNCT
alkej-156	42	30	and	and	CCONJ
alkej-156	42	31	=	=	NUM
alkej-156	42	32	longitudinal	longitudinal	ADJ
alkej-156	42	33	state	state	NOUN
alkej-156	42	34	vector	vector	NOUN
alkej-156	42	35	,	,	PUNCT
alkej-156	42	36	[	[	X
alkej-156	42	37	]	]	PUNCT
alkej-156	42	38	.	.	PUNCT
alkej-156	43	1	the	the	DET
alkej-156	43	2	lateral	lateral	ADJ
alkej-156	43	3	-	-	PUNCT
alkej-156	43	4	directional	directional	ADJ
alkej-156	43	5	plant	plant	NOUN
alkej-156	43	6	matrix	matrix	NOUN
alkej-156	43	7	was	be	AUX
alkej-156	43	8	defined	define	VERB
alkej-156	43	9	by	by	ADP
alkej-156	43	10	:	:	PUNCT
alkej-156	43	11	[	[	PUNCT
alkej-156	43	12	]	]	X
alkej-156	43	13	=	=	SYM
alkej-156	43	14	⎣⎢⎢	⎣⎢⎢	PROPN
alkej-156	43	15	⎡	⎡	VERB
alkej-156	43	16	⁄	⁄	ADP
alkej-156	43	17	0.0	0.0	NUM
alkej-156	43	18	(	(	PUNCT
alkej-156	43	19	g	g	NOUN
alkej-156	43	20	cos	cos	PROPN
alkej-156	43	21	)	)	PUNCT
alkej-156	44	1	⁄	⁄	ADP
alkej-156	44	2	−1	−1	NOUN
alkej-156	44	3	0.0	0.0	NUM
alkej-156	44	4	0.0	0.0	NUM
alkej-156	44	5	1	1	NUM
alkej-156	44	6	0.0	0.0	NUM
alkej-156	44	7	0.0	0.0	NUM
alkej-156	44	8	0.0	0.0	NUM
alkej-156	44	9	⎦⎥⎥	⎦⎥⎥	ADP
alkej-156	44	10	⎤	⎤	PROPN
alkej-156	44	11	and	and	CCONJ
alkej-156	44	12	=	=	SYM
alkej-156	45	1	⁄	⁄	ADJ
alkej-156	45	2	1.0	1.0	NUM
alkej-156	45	3	g	g	NOUN
alkej-156	45	4	⁄	⁄	PROPN
alkej-156	45	5	̇	̇	NOUN
alkej-156	45	6	where	where	SCONJ
alkej-156	45	7	is	be	AUX
alkej-156	45	8	the	the	DET
alkej-156	45	9	change	change	NOUN
alkej-156	45	10	in	in	ADP
alkej-156	45	11	side	side	NOUN
alkej-156	45	12	force	force	NOUN
alkej-156	45	13	caused	cause	VERB
alkej-156	45	14	by	by	ADP
alkej-156	45	15	a	a	DET
alkej-156	45	16	variation	variation	NOUN
alkej-156	45	17	in	in	ADP
alkej-156	45	18	thesideslip	thesideslip	NOUN
alkej-156	45	19	angle	angle	NOUN
alkej-156	45	20	,	,	PUNCT
alkej-156	45	21	is	be	AUX
alkej-156	45	22	the	the	DET
alkej-156	45	23	dihedral	dihedral	PROPN
alkej-156	45	24	emad	emad	PROPN
alkej-156	45	25	n.abdulwahab	n.abdulwahab	PART
alkej-156	46	1	al	al	PROPN
alkej-156	46	2	-	-	PUNCT
alkej-156	46	3	khwarizmi	khwarizmi	PROPN
alkej-156	46	4	engineering	engineering	NOUN
alkej-156	46	5	journal	journal	PROPN
alkej-156	46	6	,	,	PUNCT
alkej-156	46	7	vol	vol	NOUN
alkej-156	46	8	.	.	PROPN
alkej-156	46	9	9	9	NUM
alkej-156	46	10	,	,	PUNCT
alkej-156	46	11	no	no	INTJ
alkej-156	46	12	.	.	NOUN
alkej-156	46	13	1	1	NUM
alkej-156	46	14	,	,	PUNCT
alkej-156	46	15	p.p	p.p	PROPN
alkej-156	46	16	.	.	PROPN
alkej-156	46	17	29	29	NUM
alkej-156	46	18	-	-	SYM
alkej-156	46	19	38	38	NUM
alkej-156	46	20	(	(	PUNCT
alkej-156	46	21	2013	2013	NUM
alkej-156	46	22	)	)	PUNCT
alkej-156	46	23	32	32	NUM
alkej-156	46	24	effect	effect	NOUN
alkej-156	46	25	,	,	PUNCT
alkej-156	46	26	is	be	AUX
alkej-156	46	27	the	the	DET
alkej-156	46	28	roll	roll	NOUN
alkej-156	46	29	damping	damp	VERB
alkej-156	46	30	,	,	PUNCT
alkej-156	46	31	is	be	AUX
alkej-156	46	32	the	the	DET
alkej-156	46	33	change	change	NOUN
alkej-156	46	34	in	in	ADP
alkej-156	46	35	rolling	rolling	ADJ
alkej-156	46	36	moment	moment	NOUN
alkej-156	46	37	caused	cause	VERB
alkej-156	46	38	by	by	ADP
alkej-156	46	39	yawing	yaw	VERB
alkej-156	46	40	,	,	PUNCT
alkej-156	46	41	is	be	AUX
alkej-156	46	42	the	the	DET
alkej-156	46	43	directional	directional	ADJ
alkej-156	46	44	stability	stability	NOUN
alkej-156	46	45	,	,	PUNCT
alkej-156	46	46	is	be	AUX
alkej-156	46	47	the	the	DET
alkej-156	46	48	change	change	NOUN
alkej-156	46	49	in	in	ADP
alkej-156	46	50	yawing	yaw	VERB
alkej-156	46	51	moment	moment	NOUN
alkej-156	46	52	caused	cause	VERB
alkej-156	46	53	by	by	ADP
alkej-156	46	54	rolling	roll	VERB
alkej-156	46	55	,	,	PUNCT
alkej-156	46	56	is	be	AUX
alkej-156	46	57	the	the	DET
alkej-156	46	58	yaw	yaw	NOUN
alkej-156	46	59	damping	damping	NOUN
alkej-156	46	60	,	,	PUNCT
alkej-156	46	61	u	u	NOUN
alkej-156	46	62	is	be	AUX
alkej-156	46	63	the	the	DET
alkej-156	46	64	free	free	ADJ
alkej-156	46	65	stream	stream	NOUN
alkej-156	46	66	velocity	velocity	NOUN
alkej-156	46	67	,	,	PUNCT
alkej-156	46	68	is	be	AUX
alkej-156	46	69	the	the	DET
alkej-156	46	70	normal	normal	ADJ
alkej-156	46	71	force	force	NOUN
alkej-156	46	72	due	due	ADP
alkej-156	46	73	to	to	ADP
alkej-156	46	74	angle	angle	NOUN
alkej-156	46	75	of	of	ADP
alkej-156	46	76	attack	attack	NOUN
alkej-156	46	77	,	,	PUNCT
alkej-156	46	78	is	be	AUX
alkej-156	46	79	the	the	DET
alkej-156	46	80	pitch	pitch	NOUN
alkej-156	46	81	rate	rate	NOUN
alkej-156	46	82	,	,	PUNCT
alkej-156	46	83	is	be	AUX
alkej-156	46	84	angle	angle	NOUN
alkej-156	46	85	of	of	ADP
alkej-156	46	86	attack	attack	NOUN
alkej-156	46	87	,	,	PUNCT
alkej-156	46	88	is	be	AUX
alkej-156	46	89	the	the	DET
alkej-156	46	90	longitudinal	longitudinal	ADJ
alkej-156	46	91	stability	stability	NOUN
alkej-156	46	92	derivative	derivative	NOUN
alkej-156	46	93	and	and	CCONJ
alkej-156	46	94	is	be	AUX
alkej-156	46	95	the	the	DET
alkej-156	46	96	pitch	pitch	NOUN
alkej-156	46	97	damping	damp	VERB
alkej-156	46	98	.	.	PUNCT
alkej-156	47	1	in	in	ADP
alkej-156	47	2	full	full	ADJ
alkej-156	47	3	set	set	NOUN
alkej-156	47	4	of	of	ADP
alkej-156	47	5	equations	equation	NOUN
alkej-156	47	6	,	,	PUNCT
alkej-156	47	7	the	the	DET
alkej-156	47	8	small	small	ADJ
alkej-156	47	9	angle	angle	NOUN
alkej-156	47	10	assumption	assumption	NOUN
alkej-156	47	11	for	for	ADP
alkej-156	47	12	motion	motion	NOUN
alkej-156	47	13	about	about	ADP
alkej-156	47	14	an	an	DET
alkej-156	47	15	initial	initial	ADJ
alkej-156	47	16	level	level	NOUN
alkej-156	47	17	of	of	ADP
alkej-156	47	18	flight	flight	NOUN
alkej-156	47	19	condition	condition	NOUN
alkej-156	47	20	was	be	AUX
alkej-156	47	21	removed	remove	VERB
alkej-156	47	22	and	and	CCONJ
alkej-156	47	23	aneuler	aneuler	NOUN
alkej-156	47	24	angle	angle	NOUN
alkej-156	47	25	relation	relation	NOUN
alkej-156	47	26	was	be	AUX
alkej-156	47	27	introduced	introduce	VERB
alkej-156	47	28	.	.	PUNCT
alkej-156	48	1	roll	roll	NOUN
alkej-156	48	2	angle	angle	NOUN
alkej-156	48	3	,	,	PUNCT
alkej-156	48	4	became	become	VERB
alkej-156	48	5	the	the	DET
alkej-156	48	6	euler	euler	PROPN
alkej-156	48	7	angle	angle	PROPN
alkej-156	48	8	θwhile	θwhile	VERB
alkej-156	48	9	the	the	DET
alkej-156	48	10	pitch	pitch	NOUN
alkej-156	48	11	angle	angle	NOUN
alkej-156	48	12	,	,	PUNCT
alkej-156	48	13	,	,	PUNCT
alkej-156	48	14	became	become	VERB
alkej-156	48	15	the	the	DET
alkej-156	48	16	euler	euler	NOUN
alkej-156	48	17	angle	angle	NOUN
alkej-156	48	18	θ	θ	PROPN
alkej-156	49	1	[	[	X
alkej-156	49	2	4	4	NUM
alkej-156	49	3	]	]	PUNCT
alkej-156	49	4	.	.	PUNCT
alkej-156	50	1	the	the	DET
alkej-156	50	2	nonlinear	nonlinear	ADJ
alkej-156	50	3	relations	relation	NOUN
alkej-156	50	4	listed	list	VERB
alkej-156	50	5	below	below	ADV
alkej-156	50	6	were	be	AUX
alkej-156	50	7	added	add	VERB
alkej-156	50	8	to	to	ADP
alkej-156	50	9	corresponding	correspond	VERB
alkej-156	50	10	terms	term	NOUN
alkej-156	50	11	in	in	ADP
alkej-156	50	12	eqs	eqs	PROPN
alkej-156	50	13	.	.	PUNCT
alkej-156	51	1	(	(	PUNCT
alkej-156	51	2	2	2	NUM
alkej-156	51	3	)	)	PUNCT
alkej-156	51	4	,	,	PUNCT
alkej-156	51	5	(	(	PUNCT
alkej-156	51	6	3	3	X
alkej-156	51	7	)	)	PUNCT
alkej-156	51	8	to	to	PART
alkej-156	51	9	obtain	obtain	VERB
alkej-156	51	10	a	a	DET
alkej-156	51	11	full	full	ADJ
alkej-156	51	12	set	set	NOUN
alkej-156	51	13	of	of	ADP
alkej-156	51	14	motion	motion	NOUN
alkej-156	51	15	expressions	expression	NOUN
alkej-156	51	16	.	.	PUNCT
alkej-156	52	1	the	the	DET
alkej-156	52	2	nonlinear	nonlinear	ADJ
alkej-156	52	3	additions	addition	NOUN
alkej-156	52	4	are	be	AUX
alkej-156	52	5	denoted	denote	VERB
alkej-156	52	6	by	by	ADP
alkej-156	52	7	(	(	PUNCT
alkej-156	52	8	nl	nl	NOUN
alkej-156	52	9	)	)	PUNCT
alkej-156	52	10	with	with	ADP
alkej-156	52	11	the	the	DET
alkej-156	52	12	subscript	subscript	NOUN
alkej-156	52	13	denoting	denote	VERB
alkej-156	52	14	the	the	DET
alkej-156	52	15	nonlinear	nonlinear	ADJ
alkej-156	52	16	expression	expression	NOUN
alkej-156	52	17	to	to	PART
alkej-156	52	18	which	which	PRON
alkej-156	52	19	it	it	PRON
alkej-156	52	20	is	be	AUX
alkej-156	52	21	applied	apply	VERB
alkej-156	52	22	.	.	PUNCT
alkej-156	53	1	thus	thus	ADV
alkej-156	53	2	,	,	PUNCT
alkej-156	53	3	(	(	PUNCT
alkej-156	53	4	)	)	PUNCT
alkej-156	53	5	=	=	PUNCT
alkej-156	54	1	+	+	NUM
alkej-156	54	2	θ	θ	PROPN
alkej-156	54	3	θ	θ	X
alkej-156	54	4	…	…	PUNCT
alkej-156	54	5	(	(	PUNCT
alkej-156	54	6	14	14	NUM
alkej-156	54	7	)	)	PUNCT
alkej-156	54	8	(	(	PUNCT
alkej-156	54	9	)	)	PUNCT
alkej-156	54	10	=	=	SYM
alkej-156	54	11	(	(	PUNCT
alkej-156	54	12	−	−	PROPN
alkej-156	54	13	)	)	PUNCT
alkej-156	55	1	⁄	⁄	ADP
alkej-156	55	2	…	…	PUNCT
alkej-156	55	3	(	(	PUNCT
alkej-156	55	4	15	15	NUM
alkej-156	55	5	)	)	PUNCT
alkej-156	55	6	(	(	PUNCT
alkej-156	55	7	)	)	PUNCT
alkej-156	55	8	∅	∅	NOUN
alkej-156	55	9	=	=	SYM
alkej-156	55	10	φ	φ	PROPN
alkej-156	55	11	+	+	NUM
alkej-156	55	12	θ	θ	PROPN
alkej-156	55	13	…	…	PUNCT
alkej-156	55	14	(	(	PUNCT
alkej-156	55	15	16	16	NUM
alkej-156	55	16	)	)	PUNCT
alkej-156	55	17	(	(	PUNCT
alkej-156	55	18	)	)	PUNCT
alkej-156	55	19	=	=	SYM
alkej-156	55	20	(	(	PUNCT
alkej-156	55	21	)	)	PUNCT
alkej-156	55	22	…	…	PUNCT
alkej-156	55	23	(	(	PUNCT
alkej-156	55	24	17	17	NUM
alkej-156	55	25	)	)	PUNCT
alkej-156	55	26	(	(	PUNCT
alkej-156	55	27	)	)	PUNCT
alkej-156	55	28	=	=	SYM
alkej-156	56	1	−	−	PROPN
alkej-156	57	1	+	+	NUM
alkej-156	57	2	θ	θ	PROPN
alkej-156	57	3	θ	θ	NOUN
alkej-156	57	4	…	…	PUNCT
alkej-156	57	5	(	(	PUNCT
alkej-156	57	6	18	18	NUM
alkej-156	57	7	)	)	PUNCT
alkej-156	57	8	(	(	PUNCT
alkej-156	57	9	)	)	PUNCT
alkej-156	57	10	=	=	PUNCT
alkej-156	58	1	+	+	CCONJ
alkej-156	58	2	(	(	PUNCT
alkej-156	58	3	−	−	PROPN
alkej-156	58	4	)	)	PUNCT
alkej-156	59	1	+	+	CCONJ
alkej-156	59	2	(	(	PUNCT
alkej-156	59	3	)	)	PUNCT
alkej-156	59	4	⁄	⁄	ADP
alkej-156	59	5	…	…	PUNCT
alkej-156	59	6	(	(	PUNCT
alkej-156	59	7	19	19	NUM
alkej-156	59	8	)	)	PUNCT
alkej-156	59	9	in	in	ADP
alkej-156	59	10	eqs	eqs	PROPN
alkej-156	59	11	.	.	PUNCT
alkej-156	60	1	(	(	PUNCT
alkej-156	60	2	4	4	NUM
alkej-156	60	3	)	)	PUNCT
alkej-156	60	4	–	–	PUNCT
alkej-156	60	5	(	(	PUNCT
alkej-156	60	6	9	9	NUM
alkej-156	60	7	)	)	PUNCT
alkej-156	60	8	,	,	PUNCT
alkej-156	60	9	trigonometric	trigonometric	ADJ
alkej-156	60	10	terms	term	NOUN
alkej-156	60	11	are	be	AUX
alkej-156	60	12	shown	show	VERB
alkej-156	60	13	as	as	ADP
alkej-156	60	14	φ	φ	PROPN
alkej-156	60	15	=	=	PROPN
alkej-156	60	16	cos	cos	PROPN
alkej-156	60	17	φ	φ	PROPN
alkej-156	60	18	,	,	PUNCT
alkej-156	60	19	φ	φ	NOUN
alkej-156	60	20	=	=	PUNCT
alkej-156	60	21	sinφ	sinφ	NOUN
alkej-156	60	22	,	,	PUNCT
alkej-156	61	1	θ	θ	X
alkej-156	61	2	=	=	SYM
alkej-156	61	3	cos	cos	PROPN
alkej-156	61	4	θand	θand	NOUN
alkej-156	61	5	θ	θ	PUNCT
alkej-156	62	1	=	=	SYM
alkej-156	62	2	tan	tan	PROPN
alkej-156	62	3	θ	θ	VERB
alkej-156	62	4	an	an	DET
alkej-156	62	5	euler	euler	NOUN
alkej-156	62	6	angle	angle	NOUN
alkej-156	62	7	relationship	relationship	NOUN
alkej-156	62	8	for	for	ADP
alkej-156	62	9	θ̇was	θ̇wa	VERB
alkej-156	62	10	introduced	introduce	VERB
alkej-156	62	11	by	by	ADP
alkej-156	62	12	:	:	PUNCT
alkej-156	62	13	θ̇	θ̇	PROPN
alkej-156	62	14	=	=	SYM
alkej-156	62	15	φ	φ	PROPN
alkej-156	62	16	−	−	PROPN
alkej-156	63	1	φ	φ	PROPN
alkej-156	63	2	…	…	PUNCT
alkej-156	63	3	(	(	PUNCT
alkej-156	63	4	20	20	NUM
alkej-156	63	5	)	)	PUNCT
alkej-156	63	6	the	the	DET
alkej-156	63	7	nonlinear	nonlinear	ADJ
alkej-156	63	8	set	set	NOUN
alkej-156	63	9	of	of	ADP
alkej-156	63	10	motion	motion	NOUN
alkej-156	63	11	relations	relation	NOUN
alkej-156	63	12	were	be	AUX
alkej-156	63	13	obtained	obtain	VERB
alkej-156	63	14	by	by	ADP
alkej-156	63	15	including	include	VERB
alkej-156	63	16	eqs	eqs	PROPN
alkej-156	63	17	.	.	PUNCT
alkej-156	64	1	(	(	PUNCT
alkej-156	64	2	4)–(9	4)–(9	NOUN
alkej-156	64	3	)	)	PUNCT
alkej-156	64	4	as	as	ADP
alkej-156	64	5	an	an	DET
alkej-156	64	6	additional	additional	ADJ
alkej-156	64	7	set	set	NOUN
alkej-156	64	8	of	of	ADP
alkej-156	64	9	terms	term	NOUN
alkej-156	64	10	added	add	VERB
alkej-156	64	11	to	to	ADP
alkej-156	64	12	eqs	eqs	PROPN
alkej-156	64	13	.	.	PUNCT
alkej-156	65	1	(	(	PUNCT
alkej-156	65	2	2	2	NUM
alkej-156	65	3	)	)	PUNCT
alkej-156	65	4	–	–	PUNCT
alkej-156	65	5	(	(	PUNCT
alkej-156	65	6	3	3	NUM
alkej-156	65	7	)	)	PUNCT
alkej-156	65	8	.	.	PUNCT
alkej-156	66	1	in	in	ADP
alkej-156	66	2	addition	addition	NOUN
alkej-156	66	3	,	,	PUNCT
alkej-156	66	4	a	a	DET
alkej-156	66	5	seventh	seventh	ADJ
alkej-156	66	6	relation	relation	NOUN
alkej-156	66	7	was	be	AUX
alkej-156	66	8	added	add	VERB
alkej-156	66	9	,	,	PUNCT
alkej-156	66	10	eq	eq	ADJ
alkej-156	66	11	.	.	PUNCT
alkej-156	67	1	(	(	PUNCT
alkej-156	67	2	10	10	NUM
alkej-156	67	3	)	)	PUNCT
alkej-156	67	4	,	,	PUNCT
alkej-156	67	5	to	to	PART
alkej-156	67	6	account	account	VERB
alkej-156	67	7	for	for	ADP
alkej-156	67	8	the	the	DET
alkej-156	67	9	dynamics	dynamic	NOUN
alkej-156	67	10	of	of	ADP
alkej-156	67	11	the	the	DET
alkej-156	67	12	euler	euler	PROPN
alkej-156	67	13	angle	angle	PROPN
alkej-156	67	14	θ	θ	PROPN
alkej-156	67	15	.	.	PROPN
alkej-156	68	1	as	as	ADP
alkej-156	68	2	a	a	DET
alkej-156	68	3	result	result	NOUN
alkej-156	68	4	,	,	PUNCT
alkej-156	68	5	the	the	DET
alkej-156	68	6	state	state	NOUN
alkej-156	68	7	vector	vector	NOUN
alkej-156	68	8	for	for	ADP
alkej-156	68	9	the	the	DET
alkej-156	68	10	nonlinear	nonlinear	ADJ
alkej-156	68	11	system	system	NOUN
alkej-156	68	12	became	become	VERB
alkej-156	68	13	:	:	PUNCT
alkej-156	68	14	{	{	PUNCT
alkej-156	68	15	}	}	PUNCT
alkej-156	68	16	=	=	PUNCT
alkej-156	68	17	[	[	PUNCT
alkej-156	68	18	φ	φ	X
alkej-156	68	19	θ	θ	X
alkej-156	68	20	]	]	X
alkej-156	68	21	…	…	PUNCT
alkej-156	68	22	(	(	PUNCT
alkej-156	68	23	21	21	NUM
alkej-156	68	24	)	)	PUNCT
alkej-156	68	25	the	the	DET
alkej-156	68	26	time	time	NOUN
alkej-156	68	27	history	history	NOUN
alkej-156	68	28	of	of	ADP
alkej-156	68	29	the	the	DET
alkej-156	68	30	complete	complete	ADJ
alkej-156	68	31	set	set	NOUN
alkej-156	68	32	of	of	ADP
alkej-156	68	33	nonlinear	nonlinear	ADJ
alkej-156	68	34	motion	motion	NOUN
alkej-156	68	35	equations	equation	NOUN
alkej-156	68	36	was	be	AUX
alkej-156	68	37	solved	solve	VERB
alkej-156	68	38	.	.	PUNCT
alkej-156	69	1	4	4	X
alkej-156	69	2	.	.	X
alkej-156	69	3	lyapunov	lyapunov	PROPN
alkej-156	69	4	exponent	exponent	NOUN
alkej-156	69	5	criterion	criterion	NOUN
alkej-156	69	6	in	in	ADP
alkej-156	69	7	order	order	NOUN
alkej-156	69	8	for	for	SCONJ
alkej-156	69	9	a	a	DET
alkej-156	69	10	system	system	NOUN
alkej-156	69	11	to	to	PART
alkej-156	69	12	exhibit	exhibit	VERB
alkej-156	69	13	a	a	DET
alkej-156	69	14	chaotic	chaotic	ADJ
alkej-156	69	15	behavior	behavior	NOUN
alkej-156	69	16	,	,	PUNCT
alkej-156	69	17	it	it	PRON
alkej-156	69	18	must	must	AUX
alkej-156	69	19	be	be	AUX
alkej-156	69	20	non	non	ADJ
alkej-156	69	21	-	-	ADJ
alkej-156	69	22	linear	linear	ADJ
alkej-156	69	23	,	,	PUNCT
alkej-156	69	24	sensitive	sensitive	ADJ
alkej-156	69	25	to	to	ADP
alkej-156	69	26	varying	vary	VERB
alkej-156	69	27	parameters	parameter	NOUN
alkej-156	69	28	and	and	CCONJ
alkej-156	69	29	it	it	PRON
alkej-156	69	30	initial	initial	ADJ
alkej-156	69	31	conditions	condition	NOUN
alkej-156	69	32	.	.	PUNCT
alkej-156	70	1	predictive	predictive	ADJ
alkej-156	70	2	criteriasuch	criteriasuch	PROPN
alkej-156	70	3	as	as	ADP
alkej-156	70	4	periodic	periodic	ADJ
alkej-156	70	5	doubling	doubling	NOUN
alkej-156	70	6	criteria	criterion	NOUN
alkej-156	70	7	,	,	PUNCT
alkej-156	70	8	chirikov	chirikov	PROPN
alkej-156	70	9	’s	’s	PART
alkej-156	70	10	overlap	overlap	NOUN
alkej-156	70	11	criteria	criterion	NOUN
alkej-156	70	12	[	[	X
alkej-156	70	13	12	12	NUM
alkej-156	70	14	]	]	PUNCT
alkej-156	70	15	,	,	PUNCT
alkej-156	70	16	or	or	CCONJ
alkej-156	70	17	lyapunov	lyapunov	ADJ
alkej-156	70	18	exponent	exponent	NOUN
alkej-156	70	19	criteria	criterion	NOUN
alkej-156	70	20	[	[	X
alkej-156	70	21	13	13	NUM
alkej-156	70	22	]	]	PUNCT
alkej-156	70	23	were	be	AUX
alkej-156	70	24	used	use	VERB
alkej-156	70	25	to	to	PART
alkej-156	70	26	describe	describe	VERB
alkej-156	70	27	the	the	DET
alkej-156	70	28	chaotic	chaotic	ADJ
alkej-156	70	29	behavior	behavior	NOUN
alkej-156	70	30	of	of	ADP
alkej-156	70	31	the	the	DET
alkej-156	70	32	non	non	ADJ
alkej-156	70	33	-	-	ADJ
alkej-156	70	34	linear	linear	ADJ
alkej-156	70	35	dynamic	dynamic	ADJ
alkej-156	70	36	system	system	NOUN
alkej-156	70	37	in	in	ADP
alkej-156	70	38	the	the	DET
alkej-156	70	39	present	present	ADJ
alkej-156	70	40	paper	paper	NOUN
alkej-156	70	41	,	,	PUNCT
alkej-156	70	42	the	the	DET
alkej-156	70	43	lyapunov	lyapunov	ADJ
alkej-156	70	44	exponent	exponent	NOUN
alkej-156	70	45	criteria	criterion	NOUN
alkej-156	70	46	will	will	AUX
alkej-156	70	47	be	be	AUX
alkej-156	70	48	considered	consider	VERB
alkej-156	70	49	to	to	PART
alkej-156	70	50	describe	describe	VERB
alkej-156	70	51	the	the	DET
alkej-156	70	52	chaos	chaos	NOUN
alkej-156	70	53	behavior	behavior	NOUN
alkej-156	70	54	of	of	ADP
alkej-156	70	55	non	non	ADJ
alkej-156	70	56	-	-	ADJ
alkej-156	70	57	linear	linear	ADJ
alkej-156	70	58	state	state	NOUN
alkej-156	70	59	equations	equation	NOUN
alkej-156	70	60	.	.	PUNCT
alkej-156	71	1	consider	consider	VERB
alkej-156	71	2	an	an	DET
alkej-156	71	3	attractor	attractor	NOUN
alkej-156	71	4	point	point	NOUN
alkej-156	71	5	and	and	CCONJ
alkej-156	71	6	a	a	DET
alkej-156	71	7	neighboring	neighbor	VERB
alkej-156	71	8	attractor	attractor	NOUN
alkej-156	71	9	point	point	NOUN
alkej-156	71	10	+	+	X
alkej-156	71	11	.	.	PUNCT
alkej-156	72	1	then	then	ADV
alkej-156	72	2	,	,	PUNCT
alkej-156	72	3	the	the	DET
alkej-156	72	4	iterated	iterated	ADJ
alkej-156	72	5	map	map	NOUN
alkej-156	72	6	function	function	NOUN
alkej-156	72	7	is	be	AUX
alkej-156	72	8	applied	apply	VERB
alkej-156	72	9	n	n	DET
alkej-156	72	10	times	time	NOUN
alkej-156	72	11	to	to	ADP
alkej-156	72	12	each	each	DET
alkej-156	72	13	value	value	NOUN
alkej-156	72	14	and	and	CCONJ
alkej-156	72	15	the	the	DET
alkej-156	72	16	absolute	absolute	ADJ
alkej-156	72	17	value	value	NOUN
alkej-156	72	18	of	of	ADP
alkej-156	72	19	the	the	DET
alkej-156	72	20	difference	difference	NOUN
alkej-156	72	21	between	between	ADP
alkej-156	72	22	those	those	DET
alkej-156	72	23	results	result	NOUN
alkej-156	72	24	is	be	AUX
alkej-156	72	25	considered	consider	VERB
alkej-156	72	26	:	:	PUNCT
alkej-156	72	27	=	=	SYM
alkej-156	72	28	(	(	PUNCT
alkej-156	72	29	)	)	PUNCT
alkej-156	72	30	(	(	PUNCT
alkej-156	72	31	+	+	X
alkej-156	72	32	)	)	PUNCT
alkej-156	72	33	−	−	PROPN
alkej-156	72	34	(	(	PUNCT
alkej-156	72	35	)	)	PUNCT
alkej-156	72	36	(	(	PUNCT
alkej-156	72	37	)	)	PUNCT
alkej-156	72	38	…	…	PUNCT
alkej-156	72	39	(	(	PUNCT
alkej-156	72	40	22	22	NUM
alkej-156	72	41	)	)	PUNCT
alkej-156	72	42	if	if	SCONJ
alkej-156	72	43	the	the	DET
alkej-156	72	44	behavior	behavior	NOUN
alkej-156	72	45	is	be	AUX
alkej-156	72	46	chaotic	chaotic	ADJ
alkej-156	72	47	,	,	PUNCT
alkej-156	72	48	this	this	DET
alkej-156	72	49	distance	distance	NOUN
alkej-156	72	50	is	be	AUX
alkej-156	72	51	expected	expect	VERB
alkej-156	72	52	to	to	PART
alkej-156	72	53	grow	grow	VERB
alkej-156	72	54	exponentially	exponentially	ADV
alkej-156	72	55	with	with	ADP
alkej-156	72	56	n	n	CCONJ
alkej-156	72	57	,	,	PUNCT
alkej-156	72	58	so	so	ADV
alkej-156	72	59	=	=	PRON
alkej-156	72	60	(	(	PUNCT
alkej-156	72	61	)	)	PUNCT
alkej-156	72	62	(	(	PUNCT
alkej-156	72	63	)	)	PUNCT
alkej-156	72	64	(	(	PUNCT
alkej-156	72	65	)	)	PUNCT
alkej-156	72	66	(	(	PUNCT
alkej-156	72	67	)	)	PUNCT
alkej-156	72	68	≡	≡	PROPN
alkej-156	72	69	…	…	PUNCT
alkej-156	72	70	(	(	PUNCT
alkej-156	72	71	23	23	NUM
alkej-156	72	72	)	)	PUNCT
alkej-156	72	73	or	or	CCONJ
alkej-156	72	74	=	=	SYM
alkej-156	72	75	ln	ln	ADJ
alkej-156	73	1	|	|	ADV
alkej-156	73	2	(	(	PUNCT
alkej-156	73	3	)	)	PUNCT
alkej-156	73	4	(	(	PUNCT
alkej-156	73	5	)	)	PUNCT
alkej-156	73	6	|	|	ADV
alkej-156	73	7	…	…	PUNCT
alkej-156	73	8	(	(	PUNCT
alkej-156	73	9	24	24	NUM
alkej-156	73	10	)	)	PUNCT
alkej-156	73	11	whereλ	whereλ	NOUN
alkej-156	73	12	,	,	PUNCT
alkej-156	73	13	is	be	AUX
alkej-156	73	14	lyapunov	lyapunov	ADJ
alkej-156	73	15	exponent	exponent	NOUN
alkej-156	73	16	for	for	ADP
alkej-156	73	17	the	the	DET
alkej-156	73	18	trajectory	trajectory	NOUN
alkej-156	73	19	.	.	PUNCT
alkej-156	74	1	applying	apply	VERB
alkej-156	74	2	the	the	DET
alkej-156	74	3	chain	chain	NOUN
alkej-156	74	4	rule	rule	NOUN
alkej-156	74	5	for	for	ADP
alkej-156	74	6	differentiation	differentiation	NOUN
alkej-156	74	7	,	,	PUNCT
alkej-156	74	8	the	the	DET
alkej-156	74	9	derivative	derivative	NOUN
alkej-156	74	10	of	of	ADP
alkej-156	74	11	f	f	PROPN
alkej-156	74	12	(	(	PUNCT
alkej-156	74	13	n	n	CCONJ
alkej-156	74	14	)	)	PUNCT
alkej-156	74	15	can	can	AUX
alkej-156	74	16	be	be	AUX
alkej-156	74	17	written	write	VERB
alkej-156	74	18	as	as	ADP
alkej-156	74	19	a	a	DET
alkej-156	74	20	product	product	NOUN
alkej-156	74	21	of	of	ADP
alkej-156	74	22	nderivatives	nderivative	NOUN
alkej-156	74	23	off	off	ADP
alkej-156	74	24	(	(	PUNCT
alkej-156	74	25	x	x	NOUN
alkej-156	74	26	)	)	PUNCT
alkej-156	74	27	evaluated	evaluate	VERB
alkej-156	74	28	at	at	ADP
alkej-156	74	29	successive	successive	ADJ
alkej-156	74	30	trajectory	trajectory	NOUN
alkej-156	74	31	points	point	NOUN
alkej-156	74	32	,	,	PUNCT
alkej-156	74	33	,	,	PUNCT
alkej-156	74	34	,	,	PUNCT
alkej-156	74	35	and	and	CCONJ
alkej-156	74	36	so	so	ADV
alkej-156	74	37	on	on	ADV
alkej-156	74	38	.	.	PUNCT
alkej-156	75	1	thus	thus	ADV
alkej-156	75	2	,	,	PUNCT
alkej-156	75	3	the	the	DET
alkej-156	75	4	definition	definition	NOUN
alkej-156	75	5	of	of	ADP
alkej-156	75	6	lyapunov	lyapunov	PROPN
alkej-156	75	7	exponent	exponent	NOUN
alkej-156	75	8	in	in	ADP
alkej-156	75	9	a	a	DET
alkej-156	75	10	more	more	ADV
alkej-156	75	11	intuitive	intuitive	ADJ
alkej-156	75	12	form	form	NOUN
alkej-156	75	13	is	be	AUX
alkej-156	75	14	=	=	SYM
alkej-156	75	15	ln	ln	ADJ
alkej-156	75	16	′	′	NOUN
alkej-156	75	17	(	(	PUNCT
alkej-156	75	18	)	)	PUNCT
alkej-156	75	19	′	′	NOUN
alkej-156	75	20	(	(	PUNCT
alkej-156	75	21	)	)	PUNCT
alkej-156	75	22	…	…	PUNCT
alkej-156	75	23	′	′	NUM
alkej-156	75	24	(	(	PUNCT
alkej-156	75	25	)	)	PUNCT
alkej-156	75	26	…	…	PUNCT
alkej-156	75	27	(	(	PUNCT
alkej-156	75	28	25	25	NUM
alkej-156	75	29	)	)	PUNCT
alkej-156	75	30	where	where	SCONJ
alkej-156	75	31	′	′	NOUN
alkej-156	75	32	(	(	PUNCT
alkej-156	75	33	)	)	PUNCT
alkej-156	75	34	=	=	SYM
alkej-156	76	1	⁄	⁄	PROPN
alkej-156	76	2	…	…	PUNCT
alkej-156	76	3	(	(	PUNCT
alkej-156	76	4	16	16	NUM
alkej-156	76	5	)	)	PUNCT
alkej-156	76	6	also	also	ADV
alkej-156	76	7	,	,	PUNCT
alkej-156	76	8	one	one	PRON
alkej-156	76	9	can	can	AUX
alkej-156	76	10	rewrite	rewrite	VERB
alkej-156	76	11	equation	equation	NOUN
alkej-156	76	12	(	(	PUNCT
alkej-156	76	13	16	16	NUM
alkej-156	76	14	)	)	PUNCT
alkej-156	76	15	as	as	ADP
alkej-156	76	16	=	=	PUNCT
alkej-156	76	17	ln	ln	NOUN
alkej-156	76	18	′	′	NOUN
alkej-156	76	19	(	(	PUNCT
alkej-156	76	20	)	)	PUNCT
alkej-156	77	1	+	+	CCONJ
alkej-156	77	2	ln	ln	ADJ
alkej-156	77	3	′	′	NOUN
alkej-156	77	4	(	(	PUNCT
alkej-156	77	5	)	)	PUNCT
alkej-156	78	1	+	+	NUM
alkej-156	78	2	⋯+	⋯+	NUM
alkej-156	78	3	′	′	NUM
alkej-156	78	4	(	(	PUNCT
alkej-156	78	5	)	)	PUNCT
alkej-156	78	6	…	…	PUNCT
alkej-156	78	7	(	(	PUNCT
alkej-156	78	8	27	27	NUM
alkej-156	78	9	)	)	PUNCT
alkej-156	78	10	when	when	SCONJ
alkej-156	78	11	<	<	X
alkej-156	78	12	0	0	NUM
alkej-156	78	13	:	:	PUNCT
alkej-156	78	14	the	the	DET
alkej-156	78	15	orbit	orbit	NOUN
alkej-156	78	16	attracts	attract	VERB
alkej-156	78	17	to	to	ADP
alkej-156	78	18	a	a	DET
alkej-156	78	19	stable	stable	ADJ
alkej-156	78	20	periodic	periodic	ADJ
alkej-156	78	21	orbit	orbit	NOUN
alkej-156	78	22	.	.	PUNCT
alkej-156	79	1	=	=	PUNCT
alkej-156	79	2	0	0	NUM
alkej-156	79	3	:	:	PUNCT
alkej-156	79	4	the	the	DET
alkej-156	79	5	orbit	orbit	NOUN
alkej-156	79	6	is	be	AUX
alkej-156	79	7	a	a	DET
alkej-156	79	8	neutral	neutral	ADJ
alkej-156	79	9	fixed	fix	VERB
alkej-156	79	10	point	point	NOUN
alkej-156	79	11	(	(	PUNCT
alkej-156	79	12	a	a	DET
alkej-156	79	13	bifurcation	bifurcation	NOUN
alkej-156	79	14	occurs	occur	VERB
alkej-156	79	15	)	)	PUNCT
alkej-156	79	16	.	.	PUNCT
alkej-156	80	1	>	>	X
alkej-156	81	1	0	0	NUM
alkej-156	81	2	:	:	PUNCT
alkej-156	81	3	the	the	DET
alkej-156	81	4	orbit	orbit	NOUN
alkej-156	81	5	is	be	AUX
alkej-156	81	6	unstable	unstable	ADJ
alkej-156	81	7	and	and	CCONJ
alkej-156	81	8	chaotic	chaotic	ADJ
alkej-156	81	9	.	.	PUNCT
alkej-156	82	1	emad	emad	PROPN
alkej-156	82	2	n.abdulwahab	n.abdulwahab	PART
alkej-156	83	1	al	al	PROPN
alkej-156	83	2	-	-	PUNCT
alkej-156	83	3	khwarizmi	khwarizmi	PROPN
alkej-156	83	4	engineering	engineering	NOUN
alkej-156	83	5	journal	journal	PROPN
alkej-156	83	6	,	,	PUNCT
alkej-156	83	7	vol	vol	NOUN
alkej-156	83	8	.	.	PROPN
alkej-156	83	9	9	9	NUM
alkej-156	83	10	,	,	PUNCT
alkej-156	83	11	no	no	INTJ
alkej-156	83	12	.	.	NOUN
alkej-156	83	13	1	1	NUM
alkej-156	83	14	,	,	PUNCT
alkej-156	83	15	p.p	p.p	PROPN
alkej-156	83	16	.	.	PROPN
alkej-156	83	17	29	29	NUM
alkej-156	83	18	-	-	SYM
alkej-156	83	19	38	38	NUM
alkej-156	83	20	(	(	PUNCT
alkej-156	83	21	2013	2013	NUM
alkej-156	83	22	)	)	PUNCT
alkej-156	83	23	33	33	NUM
alkej-156	83	24	5	5	NUM
alkej-156	83	25	.	.	PUNCT
alkej-156	83	26	result	result	NOUN
alkej-156	83	27	and	and	CCONJ
alkej-156	83	28	discussion	discussion	VERB
alkej-156	83	29	a	a	DET
alkej-156	83	30	baseline	baseline	ADJ
alkej-156	83	31	aircraft	aircraft	NOUN
alkej-156	83	32	f-15	f-15	PROPN
alkej-156	83	33	is	be	AUX
alkej-156	83	34	taken	take	VERB
alkej-156	83	35	into	into	ADP
alkej-156	83	36	consideration	consideration	NOUN
alkej-156	83	37	in	in	ADP
alkej-156	83	38	this	this	DET
alkej-156	83	39	analysis	analysis	NOUN
alkej-156	83	40	with	with	ADP
alkej-156	83	41	mach	mach	NOUN
alkej-156	83	42	no	no	NOUN
alkej-156	83	43	.	.	PUNCT
alkej-156	84	1	=	=	NOUN
alkej-156	84	2	0.6	0.6	NUM
alkej-156	84	3	at	at	ADP
alkej-156	84	4	h=10.6	h=10.6	PROPN
alkej-156	84	5	km.to	km.to	PROPN
alkej-156	84	6	demonstrate	demonstrate	VERB
alkej-156	84	7	the	the	DET
alkej-156	84	8	state	state	NOUN
alkej-156	84	9	variables	variable	VERB
alkej-156	84	10	in	in	ADP
alkej-156	84	11	a	a	DET
alkej-156	84	12	wing	wing	NOUN
alkej-156	84	13	rock	rock	NOUN
alkej-156	84	14	phenomenon	phenomenon	NOUN
alkej-156	84	15	,	,	PUNCT
alkej-156	84	16	the	the	DET
alkej-156	84	17	nonlinear	nonlinear	ADJ
alkej-156	84	18	equations	equation	NOUN
alkej-156	84	19	of	of	ADP
alkej-156	84	20	motions	motion	NOUN
alkej-156	84	21	at	at	ADP
alkej-156	84	22	high	high	ADJ
alkej-156	84	23	angles	angle	NOUN
alkej-156	84	24	of	of	ADP
alkej-156	84	25	attack	attack	NOUN
alkej-156	84	26	were	be	AUX
alkej-156	84	27	solved.in	solved.in	PUNCT
alkej-156	84	28	this	this	DET
alkej-156	84	29	study	study	NOUN
alkej-156	84	30	,	,	PUNCT
alkej-156	84	31	the	the	DET
alkej-156	84	32	wing	wing	NOUN
alkej-156	84	33	rock	rock	NOUN
alkej-156	84	34	limit	limit	NOUN
alkej-156	84	35	cycle	cycle	NOUN
alkej-156	84	36	f15	f15	PROPN
alkej-156	84	37	is	be	AUX
alkej-156	84	38	characterized	characterize	VERB
alkej-156	84	39	by	by	ADP
alkej-156	84	40	modifying	modify	VERB
alkej-156	84	41	the	the	DET
alkej-156	84	42	directional	directional	ADJ
alkej-156	84	43	stability	stability	NOUN
alkej-156	84	44	derivatives	derivative	NOUN
alkej-156	84	45	in	in	ADP
alkej-156	84	46	a	a	DET
alkej-156	84	47	plant	plant	NOUN
alkej-156	84	48	matrix	matrix	NOUN
alkej-156	84	49	.	.	PUNCT
alkej-156	85	1	a	a	DET
alkej-156	85	2	buildup	buildup	NOUN
alkej-156	85	3	of	of	ADP
alkej-156	85	4	roll	roll	NOUN
alkej-156	85	5	angle	angle	NOUN
alkej-156	85	6	to	to	PART
alkej-156	85	7	limit	limit	VERB
alkej-156	85	8	cycle	cycle	NOUN
alkej-156	85	9	oscillation	oscillation	NOUN
alkej-156	85	10	can	can	AUX
alkej-156	85	11	be	be	AUX
alkej-156	85	12	found	find	VERB
alkej-156	85	13	in	in	ADP
alkej-156	85	14	fig	fig	NOUN
alkej-156	85	15	.	.	PUNCT
alkej-156	86	1	3	3	X
alkej-156	86	2	.	.	X
alkej-156	86	3	with	with	ADP
alkej-156	86	4	=	=	PROPN
alkej-156	86	5	−0.4	−0.4	PROPN
alkej-156	86	6	and	and	CCONJ
alkej-156	86	7	angle	angle	NOUN
alkej-156	86	8	of	of	ADP
alkej-156	86	9	attack	attack	NOUN
alkej-156	86	10	=	=	SYM
alkej-156	86	11	20	20	NUM
alkej-156	86	12	deg	deg	NOUN
alkej-156	86	13	.	.	PUNCT
alkej-156	87	1	fig	fig	NOUN
alkej-156	87	2	.	.	PUNCT
alkej-156	88	1	3	3	X
alkej-156	88	2	.	.	X
alkej-156	88	3	roll	roll	NOUN
alkej-156	88	4	limit	limit	NOUN
alkej-156	88	5	cycle	cycle	NOUN
alkej-156	88	6	buildup	buildup	NOUN
alkej-156	88	7	,	,	PUNCT
alkej-156	88	8	ζ=-0.4at	ζ=-0.4at	PROPN
alkej-156	88	9	α=20	α=20	PROPN
alkej-156	88	10	deg	deg	PROPN
alkej-156	88	11	.	.	PUNCT
alkej-156	89	1	a	a	DET
alkej-156	89	2	representative	representative	ADJ
alkej-156	89	3	buildup	buildup	NOUN
alkej-156	89	4	roll	roll	NOUN
alkej-156	89	5	and	and	CCONJ
alkej-156	89	6	sideslip	sideslip	NOUN
alkej-156	89	7	angles	angle	NOUN
alkej-156	89	8	are	be	AUX
alkej-156	89	9	indicated	indicate	VERB
alkej-156	89	10	in	in	ADP
alkej-156	89	11	fig.5	fig.5	PROPN
alkej-156	89	12	.	.	PUNCT
alkej-156	90	1	it	it	PRON
alkej-156	90	2	can	can	AUX
alkej-156	90	3	be	be	AUX
alkej-156	90	4	noted	note	VERB
alkej-156	90	5	that	that	SCONJ
alkej-156	90	6	the	the	DET
alkej-156	90	7	amplitude	amplitude	NOUN
alkej-156	90	8	ratio	ratio	NOUN
alkej-156	90	9	of	of	ADP
alkej-156	90	10	|φ|	|φ|	NOUN
alkej-156	90	11	:	:	PUNCT
alkej-156	90	12	|	|	ADV
alkej-156	90	13	|	|	ADV
alkej-156	90	14	=	=	NOUN
alkej-156	90	15	7.45	7.45	NUM
alkej-156	90	16	with	with	ADP
alkej-156	90	17	a	a	DET
alkej-156	90	18	phase	phase	NOUN
alkej-156	90	19	lag	lag	NOUN
alkej-156	90	20	of	of	ADP
alkej-156	90	21	sideslip	sideslip	NOUN
alkej-156	90	22	to	to	PART
alkej-156	90	23	roll	roll	VERB
alkej-156	90	24	angle	angle	NOUN
alkej-156	90	25	fig.4	fig.4	PROPN
alkej-156	90	26	.	.	PROPN
alkej-156	90	27	fig	fig	NOUN
alkej-156	90	28	.	.	PUNCT
alkej-156	91	1	4	4	X
alkej-156	91	2	.	.	X
alkej-156	91	3	limit	limit	VERB
alkej-156	91	4	cycle	cycle	NOUN
alkej-156	91	5	histories	history	NOUN
alkej-156	91	6	of	of	ADP
alkej-156	91	7	φ	φ	PROPN
alkej-156	91	8	and	and	CCONJ
alkej-156	91	9	β	β	X
alkej-156	91	10	,	,	PUNCT
alkej-156	91	11	ζ=-0.4	ζ=-0.4	PROPN
alkej-156	91	12	and	and	CCONJ
alkej-156	91	13	α=20	α=20	PROPN
alkej-156	91	14	deg	deg	PROPN
alkej-156	91	15	.	.	PUNCT
alkej-156	92	1	a	a	DET
alkej-156	92	2	comparative	comparative	ADJ
alkej-156	92	3	time	time	NOUN
alkej-156	92	4	history	history	NOUN
alkej-156	92	5	of	of	ADP
alkej-156	92	6	roll	roll	NOUN
alkej-156	92	7	angle	angle	NOUN
alkej-156	92	8	and	and	CCONJ
alkej-156	92	9	angle	angle	NOUN
alkej-156	92	10	of	of	ADP
alkej-156	92	11	attack	attack	NOUN
alkej-156	92	12	perturbations	perturbation	NOUN
alkej-156	92	13	during	during	ADP
alkej-156	92	14	the	the	DET
alkej-156	92	15	limit	limit	NOUN
alkej-156	92	16	cycle	cycle	NOUN
alkej-156	92	17	is	be	AUX
alkej-156	92	18	shown	show	VERB
alkej-156	92	19	in	in	ADP
alkej-156	92	20	fig.5	fig.5	PROPN
alkej-156	92	21	.	.	PUNCT
alkej-156	93	1	it	it	PRON
alkej-156	93	2	should	should	AUX
alkej-156	93	3	be	be	AUX
alkej-156	93	4	noted	note	VERB
alkej-156	93	5	that	that	SCONJ
alkej-156	93	6	the	the	DET
alkej-156	93	7	angle	angle	NOUN
alkej-156	93	8	of	of	ADP
alkej-156	93	9	attack	attack	NOUN
alkej-156	93	10	perturbations	perturbation	NOUN
alkej-156	93	11	show	show	VERB
alkej-156	93	12	a	a	DET
alkej-156	93	13	doubling	double	VERB
alkej-156	93	14	relative	relative	NOUN
alkej-156	93	15	the	the	DET
alkej-156	93	16	roll	roll	NOUN
alkej-156	93	17	limit	limit	NOUN
alkej-156	93	18	cycle	cycle	NOUN
alkej-156	93	19	frequency	frequency	NOUN
alkej-156	93	20	.	.	PUNCT
alkej-156	94	1	this	this	DET
alkej-156	94	2	feature	feature	NOUN
alkej-156	94	3	,	,	PUNCT
alkej-156	94	4	described	describe	VERB
alkej-156	94	5	as	as	ADP
alkej-156	94	6	kinematic	kinematic	ADJ
alkej-156	94	7	coupling	coupling	NOUN
alkej-156	94	8	,	,	PUNCT
alkej-156	94	9	can	can	AUX
alkej-156	94	10	be	be	AUX
alkej-156	94	11	attributed	attribute	VERB
alkej-156	94	12	to	to	ADP
alkej-156	94	13	the	the	DET
alkej-156	94	14	terms	term	NOUN
alkej-156	94	15	of	of	ADP
alkej-156	94	16	eqs	eqs	PROPN
alkej-156	94	17	.	.	PUNCT
alkej-156	95	1	(	(	PUNCT
alkej-156	95	2	8)	8)	NUM
alkej-156	95	3	and	and	CCONJ
alkej-156	95	4	(	(	PUNCT
alkej-156	95	5	9	9	NUM
alkej-156	95	6	)	)	PUNCT
alkej-156	95	7	respectively	respectively	ADV
alkej-156	95	8	.	.	PUNCT
alkej-156	96	1	an	an	DET
alkej-156	96	2	alternate	alternate	ADJ
alkej-156	96	3	perspective	perspective	NOUN
alkej-156	96	4	of	of	ADP
alkej-156	96	5	wing	wing	NOUN
alkej-156	96	6	rock	rock	NOUN
alkej-156	96	7	limit	limit	NOUN
alkej-156	96	8	cycle	cycle	NOUN
alkej-156	96	9	may	may	AUX
alkej-156	96	10	be	be	AUX
alkej-156	96	11	obtained	obtain	VERB
alkej-156	96	12	from	from	ADP
alkej-156	96	13	a	a	DET
alkej-156	96	14	cross	cross	NOUN
alkej-156	96	15	plot	plot	NOUN
alkej-156	96	16	of	of	ADP
alkej-156	96	17	sideslip	sideslip	NOUN
alkej-156	96	18	angle	angle	NOUN
alkej-156	96	19	with	with	ADP
alkej-156	96	20	roll	roll	NOUN
alkej-156	96	21	angle	angle	NOUN
alkej-156	96	22	.	.	PUNCT
alkej-156	97	1	fig	fig	NOUN
alkej-156	97	2	.	.	PUNCT
alkej-156	98	1	5	5	X
alkej-156	98	2	.	.	X
alkej-156	98	3	limit	limit	NOUN
alkej-156	98	4	cycle	cycle	NOUN
alkej-156	98	5	hostories	hostorie	NOUN
alkej-156	98	6	φ	φ	PROPN
alkej-156	98	7	and	and	CCONJ
alkej-156	98	8	α	α	NOUN
alkej-156	98	9	,	,	PUNCT
alkej-156	98	10	ζ=-0.4	ζ=-0.4	PROPN
alkej-156	98	11	and	and	CCONJ
alkej-156	98	12	α=20	α=20	PROPN
alkej-156	98	13	deg	deg	PROPN
alkej-156	98	14	.	.	PUNCT
alkej-156	99	1	the	the	DET
alkej-156	99	2	trajectory	trajectory	NOUN
alkej-156	99	3	corresponds	correspond	VERB
alkej-156	99	4	to	to	PART
alkej-156	99	5	amplitude	amplitude	NOUN
alkej-156	99	6	ratio	ratio	NOUN
alkej-156	99	7	of	of	ADP
alkej-156	99	8	|φ|	|φ|	PROPN
alkej-156	99	9	to	to	PART
alkej-156	99	10	|	|	ADV
alkej-156	99	11	|	|	ADV
alkej-156	99	12	that	that	PRON
alkej-156	99	13	equals	equal	VERB
alkej-156	99	14	to	to	ADP
alkej-156	99	15	7.45	7.45	NUM
alkej-156	99	16	and	and	CCONJ
alkej-156	99	17	54.8	54.8	NUM
alkej-156	99	18	phase	phase	NOUN
alkej-156	99	19	lag	lag	NOUN
alkej-156	99	20	of	of	ADP
alkej-156	99	21	sideslip	sideslip	NOUN
alkej-156	99	22	relative	relative	ADJ
alkej-156	99	23	to	to	ADP
alkej-156	99	24	the	the	DET
alkej-156	99	25	roll	roll	NOUN
alkej-156	99	26	angle	angle	NOUN
alkej-156	99	27	,	,	PUNCT
alkej-156	99	28	as	as	SCONJ
alkej-156	99	29	illustrated	illustrate	VERB
alkej-156	99	30	in	in	ADP
alkej-156	99	31	fig.6.it	fig.6.it	PROPN
alkej-156	99	32	explains	explain	VERB
alkej-156	99	33	that	that	SCONJ
alkej-156	99	34	the	the	DET
alkej-156	99	35	oscillatory	oscillatory	ADJ
alkej-156	99	36	behavior	behavior	NOUN
alkej-156	99	37	of	of	ADP
alkej-156	99	38	the	the	DET
alkej-156	99	39	map	map	NOUN
alkej-156	99	40	is	be	AUX
alkej-156	99	41	at	at	ADP
alkej-156	99	42	a	a	DET
alkej-156	99	43	constant	constant	ADJ
alkej-156	99	44	amplitude	amplitude	NOUN
alkej-156	99	45	.	.	PUNCT
alkej-156	100	1	emad	emad	PROPN
alkej-156	100	2	n.abdulwahab	n.abdulwahab	PART
alkej-156	101	1	al	al	PROPN
alkej-156	101	2	-	-	PUNCT
alkej-156	101	3	khwarizmi	khwarizmi	PROPN
alkej-156	101	4	engineering	engineering	NOUN
alkej-156	101	5	journal	journal	PROPN
alkej-156	101	6	,	,	PUNCT
alkej-156	101	7	vol	vol	NOUN
alkej-156	101	8	.	.	PROPN
alkej-156	101	9	9	9	NUM
alkej-156	101	10	,	,	PUNCT
alkej-156	101	11	no	no	INTJ
alkej-156	101	12	.	.	NOUN
alkej-156	101	13	1	1	NUM
alkej-156	101	14	,	,	PUNCT
alkej-156	101	15	p.p	p.p	PROPN
alkej-156	101	16	.	.	PROPN
alkej-156	101	17	29	29	NUM
alkej-156	101	18	-	-	SYM
alkej-156	101	19	38	38	NUM
alkej-156	101	20	(	(	PUNCT
alkej-156	101	21	2013	2013	NUM
alkej-156	101	22	)	)	PUNCT
alkej-156	101	23	34	34	NUM
alkej-156	101	24	fig	fig	NOUN
alkej-156	101	25	.	.	PUNCT
alkej-156	102	1	6	6	X
alkej-156	102	2	.	.	X
alkej-156	102	3	limit	limit	NOUN
alkej-156	102	4	cycle	cycle	NOUN
alkej-156	102	5	phase	phase	NOUN
alkej-156	102	6	trajectory	trajectory	NOUN
alkej-156	102	7	,	,	PUNCT
alkej-156	102	8	ζ=-0.4	ζ=-0.4	NOUN
alkej-156	102	9	and	and	CCONJ
alkej-156	102	10	α=20deg	α=20deg	NOUN
alkej-156	102	11	.	.	PUNCT
alkej-156	103	1	fig.7	fig.7	ADJ
alkej-156	103	2	.	.	PUNCT
alkej-156	104	1	shows	show	VERB
alkej-156	104	2	the	the	DET
alkej-156	104	3	variation	variation	NOUN
alkej-156	104	4	of	of	ADP
alkej-156	104	5	roll	roll	NOUN
alkej-156	104	6	angle	angle	NOUN
alkej-156	104	7	amplitude	amplitude	NOUN
alkej-156	104	8	with	with	ADP
alkej-156	104	9	damping	damp	VERB
alkej-156	104	10	ratio	ratio	NOUN
alkej-156	104	11	.	.	PUNCT
alkej-156	105	1	it	it	PRON
alkej-156	105	2	is	be	AUX
alkej-156	105	3	apparent	apparent	ADJ
alkej-156	105	4	form	form	NOUN
alkej-156	105	5	this	this	DET
alkej-156	105	6	figure	figure	NOUN
alkej-156	105	7	that	that	SCONJ
alkej-156	105	8	the	the	DET
alkej-156	105	9	limit	limit	NOUN
alkej-156	105	10	cycles	cycle	VERB
alkej-156	105	11	,	,	PUNCT
alkej-156	105	12	when	when	SCONJ
alkej-156	105	13	dutch	dutch	PROPN
alkej-156	105	14	roll	roll	NOUN
alkej-156	105	15	damping	damp	VERB
alkej-156	105	16	less	less	ADJ
alkej-156	105	17	than	than	ADP
alkej-156	105	18	zero	zero	NUM
alkej-156	105	19	,	,	PUNCT
alkej-156	105	20	correspond	correspond	VERB
alkej-156	105	21	to	to	ADP
alkej-156	105	22	a	a	DET
alkej-156	105	23	pitchfork	pitchfork	NOUN
alkej-156	105	24	type	type	NOUN
alkej-156	105	25	of	of	ADP
alkej-156	105	26	hopf	hopf	ADJ
alkej-156	105	27	bifurcation	bifurcation	NOUN
alkej-156	105	28	,	,	PUNCT
alkej-156	105	29	because	because	SCONJ
alkej-156	105	30	the	the	DET
alkej-156	105	31	static	static	ADJ
alkej-156	105	32	equilibrium	equilibrium	NOUN
alkej-156	105	33	does	do	AUX
alkej-156	105	34	not	not	PART
alkej-156	105	35	exist	exist	VERB
alkej-156	105	36	.	.	PUNCT
alkej-156	106	1	fig.7	fig.7	ADJ
alkej-156	106	2	.	.	PUNCT
alkej-156	107	1	stability	stability	NOUN
alkej-156	107	2	traits	trait	NOUN
alkej-156	107	3	of	of	ADP
alkej-156	107	4	nonlinear	nonlinear	ADJ
alkej-156	107	5	oscillator	oscillator	NOUN
alkej-156	107	6	.	.	PUNCT
alkej-156	108	1	the	the	DET
alkej-156	108	2	effect	effect	NOUN
alkej-156	108	3	of	of	ADP
alkej-156	108	4	dutch	dutch	ADJ
alkej-156	108	5	roll	roll	NOUN
alkej-156	108	6	damping	damp	VERB
alkej-156	108	7	ratio	ratio	NOUN
alkej-156	108	8	on	on	ADP
alkej-156	108	9	the	the	DET
alkej-156	108	10	roll	roll	NOUN
alkej-156	108	11	φ	φ	NOUN
alkej-156	108	12	,	,	PUNCT
alkej-156	108	13	sideslip	sideslip	NOUN
alkej-156	108	14	and	and	CCONJ
alkej-156	108	15	angle	angle	NOUN
alkej-156	108	16	of	of	ADP
alkej-156	108	17	attack	attack	NOUN
alkej-156	108	18	limit	limit	NOUN
alkej-156	108	19	cycle	cycle	NOUN
alkej-156	108	20	amplitudes	amplitude	NOUN
alkej-156	108	21	is	be	AUX
alkej-156	108	22	shown	show	VERB
alkej-156	108	23	in	in	ADP
alkej-156	108	24	fig.8	fig.8	PROPN
alkej-156	108	25	subject	subject	NOUN
alkej-156	108	26	to	to	ADP
alkej-156	108	27	constraint	constraint	NOUN
alkej-156	108	28	that	that	SCONJ
alkej-156	108	29	the	the	DET
alkej-156	108	30	frequency	frequency	NOUN
alkej-156	108	31	ratio	ratio	NOUN
alkej-156	108	32	⁄	⁄	PROPN
alkej-156	108	33	was	be	AUX
alkej-156	108	34	2	2	NUM
alkej-156	108	35	.	.	PUNCT
alkej-156	109	1	fig.7	fig.7	ADJ
alkej-156	109	2	.	.	PUNCT
alkej-156	110	1	stability	stability	NOUN
alkej-156	110	2	traits	trait	NOUN
alkej-156	110	3	of	of	ADP
alkej-156	110	4	nonlinear	nonlinear	ADJ
alkej-156	110	5	oscillator	oscillator	NOUN
alkej-156	110	6	.	.	PUNCT
alkej-156	111	1	the	the	DET
alkej-156	111	2	effect	effect	NOUN
alkej-156	111	3	of	of	ADP
alkej-156	111	4	dutch	dutch	ADJ
alkej-156	111	5	roll	roll	NOUN
alkej-156	111	6	damping	damp	VERB
alkej-156	111	7	ratio	ratio	NOUN
alkej-156	111	8	on	on	ADP
alkej-156	111	9	the	the	DET
alkej-156	111	10	roll	roll	NOUN
alkej-156	111	11	φ	φ	NOUN
alkej-156	111	12	,	,	PUNCT
alkej-156	111	13	sideslip	sideslip	NOUN
alkej-156	111	14	and	and	CCONJ
alkej-156	111	15	angle	angle	NOUN
alkej-156	111	16	of	of	ADP
alkej-156	111	17	attack	attack	NOUN
alkej-156	111	18	limit	limit	NOUN
alkej-156	111	19	cycle	cycle	NOUN
alkej-156	111	20	amplitudes	amplitude	NOUN
alkej-156	111	21	is	be	AUX
alkej-156	111	22	shown	show	VERB
alkej-156	111	23	in	in	ADP
alkej-156	111	24	fig.8	fig.8	PROPN
alkej-156	111	25	subject	subject	NOUN
alkej-156	111	26	to	to	ADP
alkej-156	111	27	constraint	constraint	NOUN
alkej-156	111	28	that	that	SCONJ
alkej-156	111	29	the	the	DET
alkej-156	111	30	frequency	frequency	NOUN
alkej-156	111	31	ratio	ratio	NOUN
alkej-156	111	32	⁄	⁄	PROPN
alkej-156	111	33	was	be	AUX
alkej-156	111	34	2	2	NUM
alkej-156	111	35	.	.	PUNCT
alkej-156	112	1	fig	fig	NOUN
alkej-156	112	2	.	.	PUNCT
alkej-156	113	1	8	8	NUM
alkej-156	113	2	.	.	X
alkej-156	113	3	effect	effect	NOUN
alkej-156	113	4	of	of	ADP
alkej-156	113	5	damping	damp	VERB
alkej-156	113	6	ratio	ratio	NOUN
alkej-156	113	7	on	on	ADP
alkej-156	113	8	limit	limit	NOUN
alkej-156	113	9	cycle	cycle	NOUN
alkej-156	113	10	amplitude	amplitude	NOUN
alkej-156	113	11	,	,	PUNCT
alkej-156	113	12	ζ=-0.4	ζ=-0.4	NUM
alkej-156	113	13	and	and	CCONJ
alkej-156	113	14	α=20	α=20	PROPN
alkej-156	113	15	deg	deg	PROPN
alkej-156	113	16	.	.	PUNCT
alkej-156	114	1	the	the	DET
alkej-156	114	2	trend	trend	NOUN
alkej-156	114	3	is	be	AUX
alkej-156	114	4	one	one	NUM
alkej-156	114	5	of	of	ADP
alkej-156	114	6	increasing	increase	VERB
alkej-156	114	7	amplitude	amplitude	NOUN
alkej-156	114	8	with	with	ADP
alkej-156	114	9	increasing	increase	VERB
alkej-156	114	10	levels	level	NOUN
alkej-156	114	11	dutch	dutch	ADJ
alkej-156	114	12	-	-	PUNCT
alkej-156	114	13	roll	roll	NOUN
alkej-156	114	14	model	model	NOUN
alkej-156	114	15	damping	damp	VERB
alkej-156	114	16	instability	instability	NOUN
alkej-156	114	17	.	.	PUNCT
alkej-156	115	1	the	the	DET
alkej-156	115	2	effectof	effectof	PROPN
alkej-156	115	3	frequency	frequency	NOUN
alkej-156	115	4	ratio	ratio	NOUN
alkej-156	115	5	⁄	⁄	PROPN
alkej-156	115	6	on	on	ADP
alkej-156	115	7	the	the	DET
alkej-156	115	8	amplitude	amplitude	NOUN
alkej-156	115	9	of	of	ADP
alkej-156	115	10	roll	roll	NOUN
alkej-156	115	11	,	,	PUNCT
alkej-156	115	12	sideslip	sideslip	NOUN
alkej-156	115	13	and	and	CCONJ
alkej-156	115	14	angle	angle	NOUN
alkej-156	115	15	of	of	ADP
alkej-156	115	16	attack	attack	NOUN
alkej-156	115	17	is	be	AUX
alkej-156	115	18	displayed	display	VERB
alkej-156	115	19	in	in	ADP
alkej-156	115	20	fig.9	fig.9	PROPN
alkej-156	115	21	.	.	PUNCT
alkej-156	116	1	emad	emad	PROPN
alkej-156	116	2	n.abdulwahab	n.abdulwahab	PART
alkej-156	117	1	al	al	PROPN
alkej-156	117	2	-	-	PUNCT
alkej-156	117	3	khwarizmi	khwarizmi	PROPN
alkej-156	117	4	engineering	engineering	NOUN
alkej-156	117	5	journal	journal	PROPN
alkej-156	117	6	,	,	PUNCT
alkej-156	117	7	vol	vol	NOUN
alkej-156	117	8	.	.	PROPN
alkej-156	117	9	9	9	NUM
alkej-156	117	10	,	,	PUNCT
alkej-156	117	11	no	no	INTJ
alkej-156	117	12	.	.	NOUN
alkej-156	117	13	1	1	NUM
alkej-156	117	14	,	,	PUNCT
alkej-156	117	15	p.p	p.p	PROPN
alkej-156	117	16	.	.	PROPN
alkej-156	117	17	29	29	NUM
alkej-156	117	18	-	-	SYM
alkej-156	117	19	38	38	NUM
alkej-156	117	20	(	(	PUNCT
alkej-156	117	21	2013	2013	NUM
alkej-156	117	22	)	)	PUNCT
alkej-156	117	23	35	35	NUM
alkej-156	117	24	the	the	DET
alkej-156	117	25	minimum	minimum	ADJ
alkej-156	117	26	value	value	NOUN
alkej-156	117	27	of	of	ADP
alkej-156	117	28	the	the	DET
alkej-156	117	29	amplitude	amplitude	NOUN
alkej-156	117	30	is	be	AUX
alkej-156	117	31	obtained	obtain	VERB
alkej-156	117	32	at	at	ADP
alkej-156	117	33	an	an	DET
alkej-156	117	34	optimal	optimal	ADJ
alkej-156	117	35	value	value	NOUN
alkej-156	117	36	of	of	ADP
alkej-156	117	37	⁄	⁄	PROPN
alkej-156	117	38	=	=	NOUN
alkej-156	117	39	2.0	2.0	NUM
alkej-156	117	40	and	and	CCONJ
alkej-156	117	41	that	that	PRON
alkej-156	117	42	explains	explain	VERB
alkej-156	117	43	that	that	SCONJ
alkej-156	117	44	ability	ability	NOUN
alkej-156	117	45	of	of	ADP
alkej-156	117	46	the	the	DET
alkej-156	117	47	longitudinal	longitudinal	ADJ
alkej-156	117	48	motion	motion	NOUN
alkej-156	117	49	to	to	PART
alkej-156	117	50	couple	couple	VERB
alkej-156	117	51	and	and	CCONJ
alkej-156	117	52	transfer	transfer	VERB
alkej-156	117	53	energy	energy	NOUN
alkej-156	117	54	for	for	ADP
alkej-156	117	55	creation	creation	NOUN
alkej-156	117	56	of	of	ADP
alkej-156	117	57	a	a	DET
alkej-156	117	58	stable	stable	ADJ
alkej-156	117	59	limit	limit	NOUN
alkej-156	117	60	cycle	cycle	NOUN
alkej-156	117	61	.	.	PUNCT
alkej-156	118	1	fig	fig	NOUN
alkej-156	118	2	.	.	PUNCT
alkej-156	119	1	9	9	X
alkej-156	119	2	.	.	X
alkej-156	119	3	effect	effect	NOUN
alkej-156	119	4	of	of	ADP
alkej-156	119	5	frequency	frequency	NOUN
alkej-156	119	6	ratio	ratio	NOUN
alkej-156	119	7	on	on	ADP
alkej-156	119	8	limit	limit	NOUN
alkej-156	119	9	cycle	cycle	NOUN
alkej-156	119	10	amplitude	amplitude	NOUN
alkej-156	119	11	,	,	PUNCT
alkej-156	119	12	ζ=-0.4	ζ=-0.4	NUM
alkej-156	119	13	and	and	CCONJ
alkej-156	119	14	α=20	α=20	PROPN
alkej-156	119	15	deg	deg	PROPN
alkej-156	119	16	.	.	PUNCT
alkej-156	120	1	the	the	DET
alkej-156	120	2	variation	variation	NOUN
alkej-156	120	3	of	of	ADP
alkej-156	120	4	the	the	DET
alkej-156	120	5	roll	roll	NOUN
alkej-156	120	6	limit	limit	NOUN
alkej-156	120	7	cycle	cycle	NOUN
alkej-156	120	8	amplitude	amplitude	NOUN
alkej-156	120	9	at	at	ADP
alkej-156	120	10	different	different	ADJ
alkej-156	120	11	angles	angle	NOUN
alkej-156	120	12	of	of	ADP
alkej-156	120	13	attack	attack	NOUN
alkej-156	120	14	is	be	AUX
alkej-156	120	15	presented	present	VERB
alkej-156	120	16	in	in	ADP
alkej-156	120	17	fig.10	fig.10	PRON
alkej-156	120	18	.	.	PUNCT
alkej-156	121	1	this	this	DET
alkej-156	121	2	figure	figure	NOUN
alkej-156	121	3	shows	show	VERB
alkej-156	121	4	the	the	DET
alkej-156	121	5	upper	upper	ADJ
alkej-156	121	6	and	and	CCONJ
alkej-156	121	7	lower	low	ADJ
alkej-156	121	8	values	value	NOUN
alkej-156	121	9	of	of	ADP
alkej-156	121	10	the	the	DET
alkej-156	121	11	roll	roll	NOUN
alkej-156	121	12	limit	limit	NOUN
alkej-156	121	13	cycle	cycle	NOUN
alkej-156	121	14	as	as	ADP
alkej-156	121	15	function	function	NOUN
alkej-156	121	16	of	of	ADP
alkej-156	121	17	angle	angle	NOUN
alkej-156	121	18	of	of	ADP
alkej-156	121	19	attack	attack	NOUN
alkej-156	121	20	.	.	PUNCT
alkej-156	122	1	fig	fig	NOUN
alkej-156	122	2	.	.	PUNCT
alkej-156	123	1	10	10	NUM
alkej-156	123	2	.	.	PUNCT
alkej-156	124	1	variation	variation	NOUN
alkej-156	124	2	limits	limit	NOUN
alkej-156	124	3	cycle	cycle	NOUN
alkej-156	124	4	amplitude	amplitude	NOUN
alkej-156	124	5	(	(	PUNCT
alkej-156	124	6	φ	φ	NOUN
alkej-156	124	7	)	)	PUNCT
alkej-156	124	8	at	at	ADP
alkej-156	124	9	different	different	ADJ
alkej-156	124	10	angle	angle	NOUN
alkej-156	124	11	of	of	ADP
alkej-156	124	12	attack	attack	NOUN
alkej-156	124	13	.	.	PUNCT
alkej-156	125	1	the	the	DET
alkej-156	125	2	verification	verification	NOUN
alkej-156	125	3	of	of	ADP
alkej-156	125	4	the	the	DET
alkej-156	125	5	limit	limit	NOUN
alkej-156	125	6	cycle	cycle	NOUN
alkej-156	125	7	existence	existence	NOUN
alkej-156	125	8	(	(	PUNCT
alkej-156	125	9	=	=	NOUN
alkej-156	125	10	0	0	X
alkej-156	125	11	)	)	PUNCT
alkej-156	125	12	at	at	ADP
alkej-156	125	13	different	different	ADJ
alkej-156	125	14	values	value	NOUN
alkej-156	125	15	of	of	ADP
alkej-156	125	16	angles	angle	NOUN
alkej-156	125	17	of	of	ADP
alkej-156	125	18	attack	attack	NOUN
alkej-156	125	19	can	can	AUX
alkej-156	125	20	be	be	AUX
alkej-156	125	21	indicated	indicate	VERB
alkej-156	125	22	in	in	ADP
alkej-156	125	23	fig	fig	NOUN
alkej-156	125	24	.	.	PUNCT
alkej-156	126	1	(	(	PUNCT
alkej-156	126	2	11	11	NUM
alkej-156	126	3	-	-	SYM
alkej-156	126	4	14	14	NUM
alkej-156	126	5	)	)	PUNCT
alkej-156	126	6	.	.	PUNCT
alkej-156	127	1	fig	fig	NOUN
alkej-156	127	2	.	.	PUNCT
alkej-156	128	1	11	11	NUM
alkej-156	128	2	.	.	PUNCT
alkej-156	129	1	lyapunov	lyapunov	PROPN
alkej-156	129	2	exponent	exponent	NOUN
alkej-156	129	3	values	value	NOUN
alkej-156	129	4	(	(	PUNCT
alkej-156	129	5	verification	verification	NOUN
alkej-156	129	6	l.c.o	l.c.o	NOUN
alkej-156	129	7	)	)	PUNCT
alkej-156	129	8	at	at	ADP
alkej-156	129	9	α=20	α=20	PROPN
alkej-156	129	10	deg	deg	PROPN
alkej-156	129	11	.	.	PUNCT
alkej-156	130	1	fig	fig	NOUN
alkej-156	130	2	.	.	PUNCT
alkej-156	131	1	12	12	NUM
alkej-156	131	2	.	.	PUNCT
alkej-156	132	1	lyapunov	lyapunov	PROPN
alkej-156	132	2	exponent	exponent	NOUN
alkej-156	132	3	values	value	NOUN
alkej-156	132	4	(	(	PUNCT
alkej-156	132	5	verification	verification	NOUN
alkej-156	132	6	l.c.o	l.c.o	NOUN
alkej-156	132	7	)	)	PUNCT
alkej-156	132	8	at	at	ADP
alkej-156	132	9	α=21	α=21	PROPN
alkej-156	132	10	deg	deg	PROPN
alkej-156	132	11	.	.	PUNCT
alkej-156	133	1	fig	fig	NOUN
alkej-156	133	2	.	.	PUNCT
alkej-156	134	1	13	13	NUM
alkej-156	134	2	.	.	PUNCT
alkej-156	135	1	lyapunov	lyapunov	PROPN
alkej-156	135	2	exponent	exponent	NOUN
alkej-156	135	3	values	value	NOUN
alkej-156	135	4	(	(	PUNCT
alkej-156	135	5	verification	verification	NOUN
alkej-156	135	6	l.c.o	l.c.o	NOUN
alkej-156	135	7	)	)	PUNCT
alkej-156	135	8	at	at	ADP
alkej-156	135	9	α=22	α=22	PROPN
alkej-156	135	10	deg	deg	PROPN
alkej-156	135	11	.	.	PUNCT
alkej-156	136	1	emad	emad	PROPN
alkej-156	136	2	n.abdulwahab	n.abdulwahab	PART
alkej-156	137	1	al	al	PROPN
alkej-156	137	2	-	-	PUNCT
alkej-156	137	3	khwarizmi	khwarizmi	PROPN
alkej-156	137	4	engineering	engineering	NOUN
alkej-156	137	5	journal	journal	PROPN
alkej-156	137	6	,	,	PUNCT
alkej-156	137	7	vol	vol	NOUN
alkej-156	137	8	.	.	PROPN
alkej-156	137	9	9	9	NUM
alkej-156	137	10	,	,	PUNCT
alkej-156	137	11	no	no	INTJ
alkej-156	137	12	.	.	NOUN
alkej-156	137	13	1	1	NUM
alkej-156	137	14	,	,	PUNCT
alkej-156	137	15	p.p	p.p	PROPN
alkej-156	137	16	.	.	PROPN
alkej-156	137	17	29	29	NUM
alkej-156	137	18	-	-	SYM
alkej-156	137	19	38	38	NUM
alkej-156	137	20	(	(	PUNCT
alkej-156	137	21	2013	2013	NUM
alkej-156	137	22	)	)	PUNCT
alkej-156	137	23	36	36	NUM
alkej-156	137	24	fig	fig	NOUN
alkej-156	137	25	.	.	PUNCT
alkej-156	138	1	14	14	NUM
alkej-156	138	2	.	.	PUNCT
alkej-156	139	1	lyapunov	lyapunov	PROPN
alkej-156	139	2	exponent	exponent	NOUN
alkej-156	139	3	values	value	NOUN
alkej-156	139	4	(	(	PUNCT
alkej-156	139	5	verification	verification	NOUN
alkej-156	139	6	l.c.o	l.c.o	NOUN
alkej-156	139	7	)	)	PUNCT
alkej-156	139	8	at	at	ADP
alkej-156	139	9	α=23	α=23	PROPN
alkej-156	139	10	deg	deg	PROPN
alkej-156	139	11	.	.	PUNCT
alkej-156	140	1	fig	fig	NOUN
alkej-156	140	2	.	.	PUNCT
alkej-156	141	1	15	15	NUM
alkej-156	141	2	.	.	PUNCT
alkej-156	142	1	trigger	trigger	NOUN
alkej-156	142	2	parameter	parameter	NOUN
alkej-156	142	3	vs	vs	ADP
alkej-156	142	4	aoa	aoa	PROPN
alkej-156	142	5	for	for	ADP
alkej-156	142	6	f-15	f-15	PROPN
alkej-156	142	7	.	.	PUNCT
alkej-156	143	1	6	6	NUM
alkej-156	143	2	.	.	PUNCT
alkej-156	143	3	conclusions	conclusion	NOUN
alkej-156	143	4	the	the	DET
alkej-156	143	5	characterization	characterization	NOUN
alkej-156	143	6	of	of	ADP
alkej-156	143	7	the	the	DET
alkej-156	143	8	limit	limit	NOUN
alkej-156	143	9	cycle	cycle	NOUN
alkej-156	143	10	oscillation	oscillation	NOUN
alkej-156	143	11	in	in	ADP
alkej-156	143	12	aircraft	aircraft	NOUN
alkej-156	143	13	lateral	lateral	ADJ
alkej-156	143	14	dynamics	dynamic	NOUN
alkej-156	143	15	is	be	AUX
alkej-156	143	16	presented	present	VERB
alkej-156	143	17	in	in	ADP
alkej-156	143	18	this	this	DET
alkej-156	143	19	paper	paper	NOUN
alkej-156	143	20	.	.	PUNCT
alkej-156	144	1	based	base	VERB
alkej-156	144	2	on	on	ADP
alkej-156	144	3	lyapunov	lyapunov	PROPN
alkej-156	144	4	exponent	exponent	NOUN
alkej-156	144	5	criterion	criterion	NOUN
alkej-156	144	6	,	,	PUNCT
alkej-156	144	7	the	the	DET
alkej-156	144	8	stability	stability	NOUN
alkej-156	144	9	of	of	ADP
alkej-156	144	10	aircraft	aircraft	NOUN
alkej-156	144	11	in	in	ADP
alkej-156	144	12	critical	critical	ADJ
alkej-156	144	13	cases	case	NOUN
alkej-156	144	14	is	be	AUX
alkej-156	144	15	displayed	display	VERB
alkej-156	144	16	.	.	PUNCT
alkej-156	145	1	the	the	DET
alkej-156	145	2	following	follow	VERB
alkej-156	145	3	conclusions	conclusion	NOUN
alkej-156	145	4	wear	wear	VERB
alkej-156	145	5	obtained	obtain	VERB
alkej-156	145	6	in	in	ADP
alkej-156	145	7	the	the	DET
alkej-156	145	8	current	current	ADJ
alkej-156	145	9	work	work	NOUN
alkej-156	145	10	:	:	PUNCT
alkej-156	146	1	1	1	X
alkej-156	146	2	.	.	PUNCT
alkej-156	146	3	the	the	DET
alkej-156	146	4	system	system	NOUN
alkej-156	146	5	became	become	VERB
alkej-156	146	6	more	more	ADV
alkej-156	146	7	lightly	lightly	ADV
alkej-156	146	8	damped	damp	VERB
alkej-156	146	9	at	at	ADP
alkej-156	146	10	a	a	DET
alkej-156	146	11	high	high	ADJ
alkej-156	146	12	angle	angle	NOUN
alkej-156	146	13	of	of	ADP
alkej-156	146	14	attack	attack	NOUN
alkej-156	146	15	and	and	CCONJ
alkej-156	146	16	the	the	DET
alkej-156	146	17	influence	influence	NOUN
alkej-156	146	18	of	of	ADP
alkej-156	146	19	the	the	DET
alkej-156	146	20	aircraft	aircraft	NOUN
alkej-156	146	21	roll	roll	NOUN
alkej-156	146	22	damping	damp	VERB
alkej-156	146	23	on	on	ADP
alkej-156	146	24	the	the	DET
alkej-156	146	25	behavior	behavior	NOUN
alkej-156	146	26	of	of	ADP
alkej-156	146	27	the	the	DET
alkej-156	146	28	limit	limit	NOUN
alkej-156	146	29	cycle	cycle	NOUN
alkej-156	146	30	was	be	AUX
alkej-156	146	31	found	find	VERB
alkej-156	146	32	to	to	PART
alkej-156	146	33	be	be	AUX
alkej-156	146	34	weak	weak	ADJ
alkej-156	146	35	.	.	PUNCT
alkej-156	147	1	2	2	X
alkej-156	147	2	.	.	X
alkej-156	147	3	the	the	DET
alkej-156	147	4	variation	variation	NOUN
alkej-156	147	5	of	of	ADP
alkej-156	147	6	lyapunov	lyapunov	ADJ
alkej-156	147	7	exponent	exponent	NOUN
alkej-156	147	8	parameter	parameter	NOUN
alkej-156	147	9	as	as	ADP
alkej-156	147	10	function	function	NOUN
alkej-156	147	11	of	of	ADP
alkej-156	147	12	time	time	NOUN
alkej-156	147	13	is	be	AUX
alkej-156	147	14	obtained	obtain	VERB
alkej-156	147	15	.	.	PUNCT
alkej-156	148	1	this	this	PRON
alkej-156	148	2	will	will	AUX
alkej-156	148	3	enable	enable	VERB
alkej-156	148	4	the	the	DET
alkej-156	148	5	tracking	tracking	NOUN
alkej-156	148	6	of	of	ADP
alkej-156	148	7	aircraft	aircraft	NOUN
alkej-156	148	8	stability.once	stability.once	PROPN
alkej-156	148	9	an	an	DET
alkej-156	148	10	indication	indication	NOUN
alkej-156	148	11	of	of	ADP
alkej-156	148	12	stability	stability	NOUN
alkej-156	148	13	limit	limit	NOUN
alkej-156	148	14	,	,	PUNCT
alkej-156	148	15	the	the	DET
alkej-156	148	16	controller	controller	NOUN
alkej-156	148	17	can	can	AUX
alkej-156	148	18	intervene	intervene	VERB
alkej-156	148	19	to	to	PART
alkej-156	148	20	bring	bring	VERB
alkej-156	148	21	it	it	PRON
alkej-156	148	22	back	back	ADV
alkej-156	148	23	to	to	ADP
alkej-156	148	24	a	a	DET
alkej-156	148	25	steady	steady	ADJ
alkej-156	148	26	state	state	NOUN
alkej-156	148	27	without	without	ADP
alkej-156	148	28	having	have	VERB
alkej-156	148	29	to	to	PART
alkej-156	148	30	consider	consider	VERB
alkej-156	148	31	the	the	DET
alkej-156	148	32	final	final	ADJ
alkej-156	148	33	value	value	NOUN
alkej-156	148	34	of	of	ADP
alkej-156	148	35	lyapunov	lyapunov	ADJ
alkej-156	148	36	parameter	parameter	NOUN
alkej-156	148	37	which	which	PRON
alkej-156	148	38	is	be	AUX
alkej-156	148	39	implemented	implement	VERB
alkej-156	148	40	in	in	ADP
alkej-156	148	41	other	other	ADJ
alkej-156	148	42	methods	method	NOUN
alkej-156	148	43	and	and	CCONJ
alkej-156	148	44	theories	theory	NOUN
alkej-156	148	45	.	.	PUNCT
alkej-156	149	1	3	3	X
alkej-156	149	2	.	.	X
alkej-156	149	3	a	a	DET
alkej-156	149	4	good	good	ADJ
alkej-156	149	5	agreement	agreement	NOUN
alkej-156	149	6	between	between	ADP
alkej-156	149	7	the	the	DET
alkej-156	149	8	numerical	numerical	ADJ
alkej-156	149	9	result	result	NOUN
alkej-156	149	10	and	and	CCONJ
alkej-156	149	11	published	publish	VERB
alkej-156	149	12	work	work	NOUN
alkej-156	149	13	is	be	AUX
alkej-156	149	14	obtained	obtain	VERB
alkej-156	149	15	for	for	ADP
alkej-156	149	16	the	the	DET
alkej-156	149	17	onset	onset	NOUN
alkej-156	149	18	of	of	ADP
alkej-156	149	19	limit	limit	NOUN
alkej-156	149	20	cycle	cycle	NOUN
alkej-156	149	21	oscillation	oscillation	NOUN
alkej-156	149	22	[	[	X
alkej-156	149	23	14	14	NUM
alkej-156	149	24	]	]	X
alkej-156	149	25	,	,	PUNCT
alkej-156	149	26	as	as	SCONJ
alkej-156	149	27	represented	represent	VERB
alkej-156	149	28	in	in	ADP
alkej-156	149	29	fig.16	fig.16	PROPN
alkej-156	149	30	.	.	PROPN
alkej-156	150	1	7	7	X
alkej-156	150	2	.	.	NUM
alkej-156	150	3	references	reference	NOUN
alkej-156	150	4	[	[	X
alkej-156	150	5	1	1	NUM
alkej-156	150	6	]	]	X
alkej-156	150	7	g.guglierif.quagliotti	g.guglierif.quagliotti	PROPN
alkej-156	150	8	,	,	PUNCT
alkej-156	150	9	experimental	experimental	ADJ
alkej-156	150	10	observation	observation	NOUN
alkej-156	150	11	and	and	CCONJ
alkej-156	150	12	discussion	discussion	NOUN
alkej-156	150	13	of	of	ADP
alkej-156	150	14	the	the	DET
alkej-156	150	15	wing	wing	NOUN
alkej-156	150	16	rock	rock	NOUN
alkej-156	150	17	phenomenon	phenomenon	NOUN
alkej-156	150	18	,	,	PUNCT
alkej-156	150	19	j.aerospace	j.aerospace	NOUN
alkej-156	150	20	science	science	NOUN
alkej-156	150	21	and	and	CCONJ
alkej-156	150	22	technology	technology	NOUN
alkej-156	150	23	,	,	PUNCT
alkej-156	150	24	no.2	no.2	PROPN
alkej-156	150	25	,	,	PUNCT
alkej-156	150	26	pp.111	pp.111	PROPN
alkej-156	150	27	-	-	PUNCT
alkej-156	150	28	123	123	NUM
alkej-156	150	29	,	,	PUNCT
alkej-156	150	30	1997	1997	NUM
alkej-156	150	31	.	.	PUNCT
alkej-156	151	1	[	[	X
alkej-156	151	2	2	2	NUM
alkej-156	151	3	]	]	X
alkej-156	151	4	andrew	andrew	PROPN
alkej-156	151	5	s.arena	s.arena	PROPN
alkej-156	151	6	jr	jr	PROPN
alkej-156	151	7	,	,	PUNCT
alkej-156	151	8	robert	robert	PROPN
alkej-156	151	9	c.nelson	c.nelson	PROPN
alkej-156	151	10	.	.	PUNCT
alkej-156	152	1	experimental	experimental	ADJ
alkej-156	152	2	investigations	investigation	NOUN
alkej-156	152	3	on	on	ADP
alkej-156	152	4	limit	limit	NOUN
alkej-156	152	5	cycle	cycle	NOUN
alkej-156	152	6	wing	wing	NOUN
alkej-156	152	7	rock	rock	NOUN
alkej-156	152	8	of	of	ADP
alkej-156	152	9	slender	slender	ADJ
alkej-156	152	10	wings	wing	NOUN
alkej-156	152	11	,	,	PUNCT
alkej-156	152	12	j.ofaircraft	j.ofaircraft	NOUN
alkej-156	152	13	,	,	PUNCT
alkej-156	152	14	vol.31,no.5,pp.1148	vol.31,no.5,pp.1148	NOUN
alkej-156	152	15	-	-	PUNCT
alkej-156	152	16	1155,sept	1155,sept	NUM
alkej-156	152	17	-	-	PUNCT
alkej-156	152	18	oct.1994	oct.1994	NUM
alkej-156	152	19	.	.	PUNCT
alkej-156	153	1	[	[	X
alkej-156	153	2	3	3	NUM
alkej-156	153	3	]	]	PUNCT
alkej-156	153	4	raul	raul	PROPN
alkej-156	153	5	ordonez	ordonez	PROPN
alkej-156	153	6	,	,	PUNCT
alkej-156	153	7	kevin	kevin	PROPN
alkej-156	153	8	m.passino.regulation	m.passino.regulation	PROPN
alkej-156	153	9	with	with	ADP
alkej-156	153	10	a	a	DET
alkej-156	153	11	time	time	NOUN
alkej-156	153	12	-	-	PUNCT
alkej-156	153	13	varying	vary	VERB
alkej-156	153	14	angle	angle	NOUN
alkej-156	153	15	of	of	ADP
alkej-156	153	16	attack	attack	NOUN
alkej-156	153	17	,	,	PUNCT
alkej-156	153	18	intelligent	intelligent	ADJ
alkej-156	153	19	control	control	NOUN
alkej-156	153	20	,	,	PUNCT
alkej-156	153	21	proceeding	proceeding	NOUN
alkej-156	153	22	of	of	ADP
alkej-156	153	23	the	the	DET
alkej-156	153	24	ieee	ieee	PROPN
alkej-156	153	25	international	international	PROPN
alkej-156	153	26	symposium	symposium	NOUN
alkej-156	153	27	,	,	PUNCT
alkej-156	153	28	pp.145	pp.145	NOUN
alkej-156	153	29	-	-	PUNCT
alkej-156	153	30	150,2000	150,2000	NUM
alkej-156	153	31	.	.	PUNCT
alkej-156	154	1	[	[	X
alkej-156	154	2	4	4	NUM
alkej-156	154	3	]	]	PUNCT
alkej-156	154	4	emad	emad	NOUN
alkej-156	154	5	n.abdulwahab	n.abdulwahab	PROPN
alkej-156	154	6	and	and	CCONJ
alkej-156	154	7	chen	chen	PROPN
alkej-156	154	8	hongquan.periodic	hongquan.periodic	PROPN
alkej-156	154	9	motion	motion	NOUN
alkej-156	154	10	suppression	suppression	NOUN
alkej-156	154	11	based	base	VERB
alkej-156	154	12	on	on	ADP
alkej-156	154	13	control	control	NOUN
alkej-156	154	14	of	of	ADP
alkej-156	154	15	wing	wing	NOUN
alkej-156	154	16	rock	rock	NOUN
alkej-156	154	17	in	in	ADP
alkej-156	154	18	aircraft	aircraft	NOUN
alkej-156	154	19	lateral	lateral	ADJ
alkej-156	154	20	dynamics	dynamic	NOUN
alkej-156	154	21	,	,	PUNCT
alkej-156	154	22	aerospace	aerospace	NOUN
alkej-156	154	23	science	science	NOUN
alkej-156	154	24	and	and	CCONJ
alkej-156	154	25	technology	technology	NOUN
alkej-156	154	26	,	,	PUNCT
alkej-156	154	27	vol.12,issue	vol.12,issue	CCONJ
alkej-156	154	28	4,pp.295	4,pp.295	NUM
alkej-156	154	29	-	-	SYM
alkej-156	154	30	301,2008	301,2008	NUM
alkej-156	154	31	[	[	X
alkej-156	154	32	5	5	NUM
alkej-156	154	33	]	]	X
alkej-156	154	34	brad	brad	PROPN
alkej-156	154	35	s.liebst	s.liebst	PROPN
alkej-156	154	36	and	and	CCONJ
alkej-156	154	37	robert	robert	PROPN
alkej-156	154	38	c.nolan	c.nolan	PROPN
alkej-156	154	39	.	.	PUNCT
alkej-156	155	1	method	method	NOUN
alkej-156	155	2	for	for	ADP
alkej-156	155	3	prediction	prediction	NOUN
alkej-156	155	4	of	of	ADP
alkej-156	155	5	the	the	DET
alkej-156	155	6	onset	onset	NOUN
alkej-156	155	7	of	of	ADP
alkej-156	155	8	wing	wing	NOUN
alkej-156	155	9	rock	rock	NOUN
alkej-156	155	10	,	,	PUNCT
alkej-156	155	11	j.ofaircraft	j.ofaircraft	NOUN
alkej-156	155	12	,	,	PUNCT
alkej-156	155	13	vol.31	vol.31	NOUN
alkej-156	155	14	,	,	PUNCT
alkej-156	155	15	no	no	DET
alkej-156	155	16	6	6	NUM
alkej-156	155	17	,	,	PUNCT
alkej-156	155	18	pp.14191421,1991	pp.14191421,1991	ADJ
alkej-156	155	19	.	.	PUNCT
alkej-156	156	1	[	[	X
alkej-156	156	2	6	6	NUM
alkej-156	156	3	]	]	X
alkej-156	156	4	chung	chung	PROPN
alkej-156	156	5	-	-	PUNCT
alkej-156	156	6	hao	hao	PROPN
alkej-156	156	7	hsu	hsu	PROPN
alkej-156	156	8	,	,	PUNCT
alkej-156	156	9	c.edward	c.edward	PROPN
alkej-156	156	10	lan.theory	lan.theory	NOUN
alkej-156	156	11	of	of	ADP
alkej-156	156	12	wing	wing	NOUN
alkej-156	156	13	rock	rock	NOUN
alkej-156	156	14	,	,	PUNCT
alkej-156	156	15	aiaa	aiaa	PROPN
alkej-156	156	16	paper	paper	PROPN
alkej-156	156	17	,	,	PUNCT
alkej-156	156	18	vol.22	vol.22	NOUN
alkej-156	156	19	,	,	PUNCT
alkej-156	156	20	no.10	no.10	ADJ
alkej-156	156	21	,	,	PUNCT
alkej-156	156	22	pp.920	pp.920	NOUN
alkej-156	156	23	-	-	PUNCT
alkej-156	156	24	924	924	NUM
alkej-156	156	25	,	,	PUNCT
alkej-156	156	26	1985	1985	NUM
alkej-156	156	27	.	.	PUNCT
alkej-156	157	1	[	[	X
alkej-156	157	2	7	7	X
alkej-156	157	3	]	]	PUNCT
alkej-156	157	4	emad	emad	NOUN
alkej-156	157	5	n.abdulwahab	n.abdulwahab	PROPN
alkej-156	157	6	,	,	PUNCT
alkej-156	157	7	chen	chen	PROPN
alkej-156	157	8	hongquan.limit	hongquan.limit	PROPN
alkej-156	157	9	cycle	cycle	NOUN
alkej-156	157	10	oscillation	oscillation	NOUN
alkej-156	157	11	and	and	CCONJ
alkej-156	157	12	divergence	divergence	NOUN
alkej-156	157	13	behavior	behavior	NOUN
alkej-156	157	14	of	of	ADP
alkej-156	157	15	new	new	ADJ
alkej-156	157	16	coupled	couple	VERB
alkej-156	157	17	stability	stability	NOUN
alkej-156	157	18	effects	effect	NOUN
alkej-156	157	19	in	in	ADP
alkej-156	157	20	aircraft	aircraft	NOUN
alkej-156	157	21	lateral	lateral	ADJ
alkej-156	157	22	dynamics	dynamic	NOUN
alkej-156	157	23	,	,	PUNCT
alkej-156	157	24	vol.3	vol.3	PROPN
alkej-156	157	25	,	,	PUNCT
alkej-156	157	26	no.1	no.1	NUM
alkej-156	157	27	,	,	PUNCT
alkej-156	157	28	pp.1	pp.1	NOUN
alkej-156	157	29	-	-	PUNCT
alkej-156	157	30	13	13	NUM
alkej-156	157	31	,	,	PUNCT
alkej-156	157	32	2008	2008	NUM
alkej-156	157	33	.	.	PUNCT
alkej-156	158	1	[	[	X
alkej-156	158	2	8	8	NUM
alkej-156	158	3	]	]	X
alkej-156	158	4	euclidc	euclidc	NOUN
alkej-156	158	5	.	.	PUNCT
alkej-156	159	1	holleman	holleman	NOUN
alkej-156	159	2	,	,	PUNCT
alkej-156	159	3	edwards.s	edwards.s	NOUN
alkej-156	159	4	ummary	ummary	ADJ
alkej-156	159	5	of	of	ADP
alkej-156	159	6	flight	flight	NOUN
alkej-156	159	7	test	test	NOUN
alkej-156	159	8	to	to	PART
alkej-156	159	9	determine	determine	VERB
alkej-156	159	10	the	the	DET
alkej-156	159	11	spin	spin	NOUN
alkej-156	159	12	and	and	CCONJ
alkej-156	159	13	controllability	controllability	NOUN
alkej-156	159	14	characteristics	characteristic	NOUN
alkej-156	159	15	of	of	ADP
alkej-156	159	16	a	a	DET
alkej-156	159	17	remotely	remotely	ADV
alkej-156	159	18	piloted	pilot	VERB
alkej-156	159	19	,	,	PUNCT
alkej-156	159	20	larage	larage	NOUN
alkej-156	159	21	scale	scale	NOUN
alkej-156	159	22	(	(	PUNCT
alkej-156	159	23	3/8	3/8	NUM
alkej-156	159	24	)	)	PUNCT
alkej-156	159	25	fighter	fighter	NOUN
alkej-156	159	26	airplane	airplane	NOUN
alkej-156	159	27	model.national	model.national	ADJ
alkej-156	159	28	aeronautics	aeronautic	NOUN
alkej-156	159	29	and	and	CCONJ
alkej-156	159	30	space	space	NOUN
alkej-156	159	31	administration	administration	PROPN
alkej-156	159	32	,	,	PUNCT
alkej-156	159	33	washington	washington	PROPN
alkej-156	159	34	,	,	PUNCT
alkej-156	159	35	d.c.nasa	d.c.nasa	PROPN
alkej-156	159	36	tn	tn	PROPN
alkej-156	159	37	d8052,january	d8052,january	PROPN
alkej-156	159	38	1976	1976	NUM
alkej-156	159	39	.	.	PUNCT
alkej-156	160	1	emad	emad	PROPN
alkej-156	160	2	n.abdulwahab	n.abdulwahab	PART
alkej-156	161	1	al	al	PROPN
alkej-156	161	2	-	-	PUNCT
alkej-156	161	3	khwarizmi	khwarizmi	PROPN
alkej-156	161	4	engineering	engineering	NOUN
alkej-156	161	5	journal	journal	PROPN
alkej-156	161	6	,	,	PUNCT
alkej-156	161	7	vol	vol	NOUN
alkej-156	161	8	.	.	PROPN
alkej-156	161	9	9	9	NUM
alkej-156	161	10	,	,	PUNCT
alkej-156	161	11	no	no	INTJ
alkej-156	161	12	.	.	NOUN
alkej-156	161	13	1	1	NUM
alkej-156	161	14	,	,	PUNCT
alkej-156	161	15	p.p	p.p	PROPN
alkej-156	161	16	.	.	PROPN
alkej-156	161	17	29	29	NUM
alkej-156	161	18	-	-	SYM
alkej-156	161	19	38	38	NUM
alkej-156	161	20	(	(	PUNCT
alkej-156	161	21	2013	2013	NUM
alkej-156	161	22	)	)	PUNCT
alkej-156	161	23	37	37	NUM
alkej-156	162	1	[	[	X
alkej-156	162	2	9	9	NUM
alkej-156	162	3	]	]	PUNCT
alkej-156	162	4	kennetb	kennetb	NOUN
alkej-156	162	5	w.iliff	w.iliff	NOUN
alkej-156	162	6	,	,	PUNCT
alkej-156	162	7	richard	richard	PROPN
alkej-156	162	8	e.maine	e.maine	PROPN
alkej-156	162	9	,	,	PUNCT
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alkej-156	162	11	f.	f.	PROPN
alkej-156	162	12	shafer	shafer	PROPN
alkej-156	162	13	,	,	PUNCT
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alkej-156	162	15	stability	stability	NOUN
alkej-156	162	16	and	and	CCONJ
alkej-156	162	17	control	control	NOUN
alkej-156	162	18	derivatives	derivative	NOUN
alkej-156	162	19	for	for	ADP
alkej-156	162	20	unpowered	unpowered	ADJ
alkej-156	162	21	,	,	PUNCT
alkej-156	162	22	remotely	remotely	ADV
alkej-156	162	23	piloted	pilot	VERB
alkej-156	162	24	(	(	PUNCT
alkej-156	162	25	3/8	3/8	NUM
alkej-156	162	26	)	)	PUNCT
alkej-156	162	27	scale	scale	NOUN
alkej-156	162	28	f-15	f-15	PROPN
alkej-156	162	29	airplane	airplane	NOUN
alkej-156	162	30	model	model	NOUN
alkej-156	162	31	obtained	obtain	VERB
alkej-156	162	32	from	from	ADP
alkej-156	162	33	flight	flight	NOUN
alkej-156	162	34	test	test	NOUN
alkej-156	162	35	.	.	PUNCT
alkej-156	163	1	national	national	ADJ
alkej-156	163	2	aeronautics	aeronautic	NOUN
alkej-156	163	3	and	and	CCONJ
alkej-156	163	4	a	a	DET
alkej-156	163	5	space	space	NOUN
alkej-156	163	6	administration	administration	NOUN
alkej-156	163	7	,	,	PUNCT
alkej-156	163	8	washington	washington	PROPN
alkej-156	163	9	,	,	PUNCT
alkej-156	163	10	d.c.nasa	d.c.nasa	PROPN
alkej-156	163	11	tn	tn	PROPN
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alkej-156	163	13	1976	1976	NUM
alkej-156	163	14	.	.	PUNCT
alkej-156	164	1	[	[	X
alkej-156	164	2	10	10	NUM
alkej-156	164	3	]	]	X
alkej-156	164	4	randal	randal	PROPN
alkej-156	164	5	w.	w.	PROPN
alkej-156	164	6	brumbaugh.an	brumbaugh.an	PROPN
alkej-156	164	7	aircraft	aircraft	NOUN
alkej-156	164	8	model	model	NOUN
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alkej-156	164	10	the	the	DET
alkej-156	164	11	aiaa	aiaa	PROPN
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alkej-156	164	13	design	design	NOUN
alkej-156	164	14	challenge	challenge	NOUN
alkej-156	164	15	.	.	PUNCT
alkej-156	165	1	contract	contract	NOUN
alkej-156	165	2	nasa	nasa	PROPN
alkej-156	165	3	2	2	NUM
alkej-156	165	4	-	-	SYM
alkej-156	165	5	12722,december	12722,december	NUM
alkej-156	165	6	1991	1991	NUM
alkej-156	165	7	.	.	PUNCT
alkej-156	166	1	[	[	X
alkej-156	166	2	11	11	NUM
alkej-156	166	3	]	]	X
alkej-156	166	4	l.v	l.v	PROPN
alkej-156	166	5	.	.	PROPN
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alkej-156	166	7	,	,	PUNCT
alkej-156	166	8	introduction	introduction	NOUN
alkej-156	166	9	to	to	ADP
alkej-156	166	10	aircraft	aircraft	NOUN
alkej-156	166	11	flight	flight	NOUN
alkej-156	166	12	dynamics	dynamic	NOUN
alkej-156	166	13	,	,	PUNCT
alkej-156	166	14	aiaa	aiaa	PROPN
alkej-156	166	15	education	education	NOUN
alkej-156	166	16	series	series	PROPN
alkej-156	166	17	,	,	PUNCT
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alkej-156	166	19	postgraduate	postgraduate	PROPN
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alkej-156	166	21	,	,	PUNCT
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alkej-156	166	23	,	,	PUNCT
alkej-156	166	24	ca	ca	NOUN
alkej-156	166	25	,	,	PUNCT
alkej-156	166	26	1998	1998	NUM
alkej-156	166	27	.	.	PUNCT
alkej-156	167	1	[	[	X
alkej-156	167	2	12	12	NUM
alkej-156	167	3	]	]	X
alkej-156	167	4	guckenheimer	guckenheimer	PROPN
alkej-156	167	5	,	,	PUNCT
alkej-156	167	6	j.	j.	PROPN
alkej-156	167	7	and	and	CCONJ
alkej-156	167	8	holems	holems	PROPN
alkej-156	167	9	,	,	PUNCT
alkej-156	167	10	p.nonlinear	p.nonlinear	ADJ
alkej-156	167	11	oscillations	oscillation	NOUN
alkej-156	167	12	,	,	PUNCT
alkej-156	167	13	dynamical	dynamical	ADJ
alkej-156	167	14	systems	system	NOUN
alkej-156	167	15	,	,	PUNCT
alkej-156	167	16	and	and	CCONJ
alkej-156	167	17	bifurcations	bifurcation	NOUN
alkej-156	167	18	of	of	ADP
alkej-156	167	19	vector	vector	NOUN
alkej-156	167	20	fields	field	NOUN
alkej-156	167	21	,	,	PUNCT
alkej-156	167	22	(	(	PUNCT
alkej-156	167	23	springerverlag	springerverlag	NOUN
alkej-156	167	24	,	,	PUNCT
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alkej-156	167	26	.	.	PUNCT
alkej-156	168	1	[	[	X
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alkej-156	168	3	]	]	PUNCT
alkej-156	168	4	hilborn	hilborn	ADJ
alkej-156	168	5	,	,	PUNCT
alkej-156	168	6	robert	robert	PROPN
alkej-156	168	7	,	,	PUNCT
alkej-156	168	8	c.chaos	c.chao	NOUN
alkej-156	168	9	and	and	CCONJ
alkej-156	168	10	nonlinear	nonlinear	ADJ
alkej-156	168	11	dynamics	dynamic	NOUN
alkej-156	168	12	:	:	PUNCT
alkej-156	168	13	an	an	DET
alkej-156	168	14	introduction	introduction	NOUN
alkej-156	168	15	for	for	ADP
alkej-156	168	16	scientists	scientist	NOUN
alkej-156	168	17	and	and	CCONJ
alkej-156	168	18	engineers	engineer	NOUN
alkej-156	168	19	,	,	PUNCT
alkej-156	168	20	(	(	PUNCT
alkej-156	168	21	oxford	oxford	PROPN
alkej-156	168	22	university	university	PROPN
alkej-156	168	23	press	press	NOUN
alkej-156	168	24	,	,	PUNCT
alkej-156	168	25	usa),2000	usa),2000	NOUN
alkej-156	168	26	.	.	PUNCT
alkej-156	169	1	[	[	X
alkej-156	169	2	14	14	NUM
alkej-156	169	3	]	]	X
alkej-156	169	4	brad	brad	PROPN
alkej-156	169	5	s.	s.	PROPN
alkej-156	169	6	liebst	liebst	PROPN
alkej-156	169	7	and	and	CCONJ
alkej-156	169	8	robert	robert	PROPN
alkej-156	169	9	c.nolan	c.nolan	PROPN
alkej-156	169	10	,	,	PUNCT
alkej-156	169	11	method	method	NOUN
alkej-156	169	12	for	for	ADP
alkej-156	169	13	prediction	prediction	NOUN
alkej-156	169	14	of	of	ADP
alkej-156	169	15	the	the	DET
alkej-156	169	16	onset	onset	NOUN
alkej-156	169	17	of	of	ADP
alkej-156	169	18	wing	wing	NOUN
alkej-156	169	19	rock	rock	NOUN
alkej-156	169	20	,	,	PUNCT
alkej-156	169	21	j.	j.	PROPN
alkej-156	169	22	aircraft	aircraft	PROPN
alkej-156	169	23	,	,	PUNCT
alkej-156	169	24	vol	vol	NOUN
alkej-156	169	25	.	.	PROPN
alkej-156	170	1	31	31	NUM
alkej-156	170	2	,	,	PUNCT
alkej-156	170	3	no	no	INTJ
alkej-156	170	4	.	.	NOUN
alkej-156	170	5	6	6	NUM
alkej-156	170	6	,	,	PUNCT
alkej-156	170	7	pp	pp	ADJ
alkej-156	170	8	.	.	PUNCT
alkej-156	171	1	1419	1419	NUM
alkej-156	171	2	-	-	SYM
alkej-156	171	3	1421	1421	NUM
alkej-156	171	4	,	,	PUNCT
alkej-156	171	5	1994	1994	NUM
alkej-156	171	6	.	.	PUNCT
alkej-156	172	1	)	)	PUNCT
alkej-156	173	1	2013	2013	NUM
alkej-156	173	2	(	(	PUNCT
alkej-156	173	3	2938	2938	NUM
alkej-156	173	4	،	،	X
alkej-156	173	5	صفحة	صفحة	PROPN
alkej-156	173	6	1	1	NUM
alkej-156	173	7	،	،	NOUN
alkej-156	173	8	العدد9مجلة	العدد9مجلة	NOUN
alkej-156	173	9	الخوارزمي	الخوارزمي	VERB
alkej-156	173	10	الھندسیة	الھندسیة	PROPN
alkej-156	173	11	المجلدعماد	المجلدعماد	SCONJ
alkej-156	173	12	ناطق	ناطق	NOUN
alkej-156	173	13	عبد	عبد	VERB
alkej-156	173	14	الوھاب	الوھاب	ADV
alkej-156	173	15	38	38	NUM
alkej-156	173	16	األسیةاالستقراریة	األسیةاالستقراریة	PROPN
alkej-156	173	17	الجانبیة	الجانبیة	PROPN
alkej-156	173	18	العرضیة	العرضیة	PROPN
alkej-156	173	19	للطائرة	للطائرة	PROPN
alkej-156	173	20	في	في	ADP
alkej-156	173	21	الحاالت	الحاالت	PROPN
alkej-156	173	22	الحرجة	الحرجة	PROPN
alkej-156	173	23	حسب	حسب	VERB
alkej-156	173	24	نظریة	نظریة	PROPN
alkej-156	173	25	لیبنوف	لیبنوف	NOUN
alkej-156	173	26	*	*	PUNCT
alkej-156	173	27	*	*	PUNCT
alkej-156	173	28	*	*	ADJ
alkej-156	173	29	طالب	طالب	ADJ
alkej-156	173	30	عبد	عبد	ADJ
alkej-156	173	31	الزھرة	الزھرة	NOUN
alkej-156	173	32	يعل	يعل	PROPN
alkej-156	173	33	*	*	PROPN
alkej-156	173	34	*	*	ADJ
alkej-156	173	35	قاسم	قاسم	ADJ
alkej-156	173	36	عباس	عباس	VERB
alkej-156	173	37	عطیة	عطیة	NOUN
alkej-156	173	38	*	*	PUNCT
alkej-156	173	39	عماد	عماد	NOUN
alkej-156	173	40	ناطق	ناطق	PROPN
alkej-156	173	41	عبد	عبد	VERB
alkej-156	173	42	الوھاب	الوھاب	ADV
alkej-156	173	43	الجامعة	الجامعة	NOUN
alkej-156	173	44	التكنولوجیة	التكنولوجیة	NOUN
alkej-156	173	45	/عداتقسم	/عداتقسم	PUNCT
alkej-156	173	46	ھندسة	ھندسة	PROPN
alkej-156	173	47	المكائن	المكائن	PROPN
alkej-156	173	48	والم	والم	PROPN
alkej-156	173	49	*	*	PUNCT
alkej-156	173	50	*	*	PUNCT
alkej-156	173	51	*	*	NOUN
alkej-156	173	52	،	،	X
alkej-156	173	53	*	*	X
alkej-156	173	54	*	*	NOUN
alkej-156	173	55	،	،	X
alkej-156	173	56	*	*	PUNCT
alkej-156	173	57	emadaabd@yahoo.com	emadaabd@yahoo.com	X
alkej-156	173	58	رید	رید	PROPN
alkej-156	173	59	االلكترونيالب	االلكترونيالب	NOUN
alkej-156	173	60	:	:	PUNCT
alkej-156	173	61	*	*	PUNCT
alkej-156	173	62	dr_qasim_uot@yahoo.com	dr_qasim_uot@yahoo.com	NOUN
alkej-156	173	63	االلكتروني	االلكتروني	NOUN
alkej-156	173	64	البرید	البرید	NOUN
alkej-156	173	65	:	:	PUNCT
alkej-156	173	66	*	*	PUNCT
alkej-156	173	67	*	*	PUNCT
alkej-156	173	68	alitalib84@gmail.com	alitalib84@gmail.com	X
alkej-156	174	1	*	*	PUNCT
alkej-156	174	2	*	*	PUNCT
alkej-156	174	3	*	*	PUNCT
alkej-156	174	4	:	:	PUNCT
alkej-156	174	5	االلكتروني	االلكتروني	NOUN
alkej-156	174	6	البرید	البرید	NOUN
alkej-156	174	7	الخالصة	الخالصة	PROPN
alkej-156	174	8	تم	تم	PUNCT
alkej-156	174	9	وصف	وصف	PROPN
alkej-156	174	10	الحركة	الحركة	PROPN
alkej-156	174	11	الدوریة	الدوریة	PROPN
alkej-156	174	12	أو	أو	ADV
alkej-156	174	13	.	.	PUNCT
alkej-156	175	1	األتجاھیة	األتجاھیة	PROPN
alkej-156	175	2	أثناء	أثناء	PROPN
alkej-156	175	3	حاالت	حاالت	PROPN
alkej-156	175	4	الطیران	الطیران	PROPN
alkej-156	175	5	الحرجة	الحرجة	PROPN
alkej-156	175	6	بأعتماد	بأعتماد	PROPN
alkej-156	175	7	نظریة	نظریة	PROPN
alkej-156	175	8	لیبنوف	لیبنوف	PROPN
alkej-156	176	1	األسیة	األسیة	PROPN
alkej-156	176	2	الحالي	الحالي	ADV
alkej-156	176	3	تحلیل	تحلیل	ADJ
alkej-156	176	4	األستقراریة	األستقراریة	PROPN
alkej-156	176	5	الجانبیةیتناول	الجانبیةیتناول	PROPN
alkej-156	176	6	البحث	البحث	PROPN
alkej-156	176	7	اھیة	اھیة	PROPN
alkej-156	176	8	غیر	غیر	PROPN
alkej-156	176	9	حیث	حیث	PROPN
alkej-156	176	10	كانت	كانت	PROPN
alkej-156	176	11	األلیة	األلیة	PROPN
alkej-156	176	12	المتبعة	المتبعة	PROPN
alkej-156	176	13	للدورة	للدورة	PROPN
alkej-156	176	14	المحددة	المحددة	PROPN
alkej-156	176	15	لتأرجح	لتأرجح	PROPN
alkej-156	176	16	الجناح	الجناح	VERB
alkej-156	176	17	ھي	ھي	PROPN
alkej-156	176	18	ربط	ربط	ADP
alkej-156	176	19	القصور	القصور	NOUN
alkej-156	176	20	الذاتي	الذاتي	PROPN
alkej-156	176	21	بین	بین	PROPN
alkej-156	176	22	طور	طور	NOUN
alkej-156	176	23	الحركة	الحركة	NOUN
alkej-156	176	24	الجانبیة	الجانبیة	NOUN
alkej-156	176	25	األتج	األتج	PROPN
alkej-156	176	26	.	.	PUNCT
alkej-156	177	1	التذبذب	التذبذب	PROPN
alkej-156	177	2	ذو	ذو	PROPN
alkej-156	177	3	الدورة	الدورة	PROPN
alkej-156	177	4	المحددة	المحددة	PROPN
alkej-156	177	5	تم	تم	PROPN
alkej-156	177	6	تحقیق	تحقیق	PROPN
alkej-156	177	7	ألیة	ألیة	PROPN
alkej-156	177	8	الربط	الربط	NOUN
alkej-156	177	9	ھذه	ھذه	PROPN
alkej-156	177	10	بواسطة	بواسطة	PROPN
alkej-156	177	11	التداخل	التداخل	NOUN
alkej-156	177	12	الالخطي	الالخطي	PROPN
alkej-156	177	13	بین	بین	PROPN
alkej-156	177	14	الحدود	الحدود	PROPN
alkej-156	177	15	ذات	ذات	PROPN
alkej-156	177	16	العالقة	العالقة	PROPN
alkej-156	177	17	في	في	X
alkej-156	177	18	)	)	PUNCT
alkej-156	177	19	.	.	PUNCT
alkej-156	178	1	لفترة	لفترة	PROPN
alkej-156	178	2	قصیرة(وطور	قصیرة(وطور	PROPN
alkej-156	178	3	الحركة	الحركة	PROPN
alkej-156	178	4	الطولیة	الطولیة	X
alkej-156	178	5	المستقرة	المستقرة	PROPN
alkej-156	178	6	)	)	PUNCT
alkej-156	178	7	األلتفاف	األلتفاف	VERB
alkej-156	178	8	الھولندي(المستقرة	الھولندي(المستقرة	PROPN
alkej-156	178	9	جوم	جوم	NOUN
alkej-156	178	10	عالیة	عالیة	PROPN
alkej-156	178	11	وتم	وتم	PROPN
alkej-156	178	12	أقتراح	أقتراح	NOUN
alkej-156	178	13	أسلوب	أسلوب	NOUN
alkej-156	178	14	جدید	جدید	ADJ
alkej-156	178	15	للتحلیل	للتحلیل	PROPN
alkej-156	178	16	تم	تم	ADP
alkej-156	178	17	تحلیل	تحلیل	ADJ
alkej-156	178	18	متغیرات	متغیرات	NOUN
alkej-156	178	19	الحالة	الحالة	NOUN
alkej-156	178	20	للنظام	للنظام	VERB
alkej-156	178	21	عن	عن	PROPN
alkej-156	178	22	طریق	طریق	NOUN
alkej-156	178	23	حل	حل	NOUN
alkej-156	178	24	معادالت	معادالت	ADJ
alkej-156	178	25	الحركة	الحركة	PROPN
alkej-156	178	26	الالخطیة	الالخطیة	PROPN
alkej-156	178	27	عند	عند	PROPN
alkej-156	178	28	زوایا	زوایا	VERB
alkej-156	178	29	ھ	ھ	ADP
alkej-156	178	30	.	.	PUNCT
alkej-156	179	1	معادالت	معادالت	ADJ
alkej-156	179	2	الحركة	الحركة	NOUN
alkej-156	179	3	الكاملة	الكاملة	PROPN
alkej-156	179	4	یصبح	یصبح	PROPN
alkej-156	179	5	ذات	ذات	PROPN
alkej-156	179	6	تخمید	تخمید	PROPN
alkej-156	179	7	)	)	PUNCT
alkej-156	179	8	الطائرة(أظھرت	الطائرة(أظھرت	PROPN
alkej-156	179	9	النتائج	النتائج	PROPN
alkej-156	179	10	العددیة	العددیة	NOUN
alkej-156	179	11	بأن	بأن	VERB
alkej-156	179	12	النظام	النظام	NOUN
alkej-156	179	13	.	.	PUNCT
alkej-156	180	1	یضمن	یضمن	PROPN
alkej-156	180	2	تغیر	تغیر	PROPN
alkej-156	180	3	زاویة	زاویة	PROPN
alkej-156	180	4	األلتفاف	األلتفاف	PROPN
alkej-156	180	5	كدالة	كدالة	PROPN
alkej-156	180	6	لزاویة	لزاویة	PROPN
alkej-156	180	7	الھجوم	الھجوم	PROPN
alkej-156	180	8	أضافة	أضافة	PROPN
alkej-156	180	9	لتغیر	لتغیر	PROPN
alkej-156	180	10	معامل	معامل	PROPN
alkej-156	180	11	لیبنوف	لیبنوف	NOUN
alkej-156	180	12	كدالة	كدالة	VERB
alkej-156	180	13	للزمن	للزمن	PROPN
alkej-156	181	1	م	م	PROPN
alkej-156	181	2	الحصول	الحصول	ADJ
alkej-156	181	3	على	على	PROPN
alkej-156	181	4	توافق	توافق	PROPN
alkej-156	181	5	جید	جید	PROPN
alkej-156	181	6	بین	بین	PROPN
alkej-156	181	7	نتائج	نتائج	PROPN
alkej-156	181	8	البحث	البحث	VERB
alkej-156	181	9	الحالي	الحالي	ADV
alkej-156	181	10	و	و	PRON
alkej-156	181	11	نتائج	نتائج	PROPN
alkej-156	181	12	ألبحاث	ألبحاث	PROPN
alkej-156	181	13	ت	ت	ADP
alkej-156	181	14	.	.	PUNCT
alkej-156	181	15	ضعیف	ضعیف	PROPN
alkej-156	181	16	عند	عند	PROPN
alkej-156	181	17	زوایا	زوایا	PROPN
alkej-156	181	18	الھجوم	الھجوم	NOUN
alkej-156	181	19	العالیة	العالیة	NOUN
alkej-156	181	20	مع	مع	INTJ
alkej-156	181	21	زیادة	زیادة	ADJ
alkej-156	181	22	في	في	ADP
alkej-156	181	23	سعة	سعة	CCONJ
alkej-156	181	24	متغیرات	متغیرات	ADJ
alkej-156	181	25	الحالة	الحالة	PROPN
alkej-156	181	26	ذات	ذات	NOUN
alkej-156	181	27	العالقة	العالقة	PROPN
alkej-156	181	28	.لمنشورة	.لمنشورة	PROPN
alkej-156	181	29	عند	عند	PROPN
alkej-156	181	30	نشوء	نشوء	AUX
alkej-156	181	31	التذبذب	التذبذب	PROPN
alkej-156	181	32	ذو	ذو	PROPN
alkej-156	181	33	الدورة	الدورة	PROPN
alkej-156	181	34	المحددة	المحددة	PROPN
alkej-156	181	35	mailto:emadaabd@yahoo.com	mailto:emadaabd@yahoo.com	PROPN
alkej-156	181	36	mailto:dr_qasim_uot@yahoo.com	mailto:dr_qasim_uot@yahoo.com	PROPN
alkej-156	181	37	mailto:alitalib84@gmail.com	mailto:alitalib84@gmail.com	PROPN