id	sid	tid	token	lemma	pos
iajs-799	1	1	ibn	ibn	PROPN
iajs-799	1	2	alhaitham	alhaitham	NOUN
iajs-799	1	3	j.	j.	PROPN
iajs-799	1	4	for	for	ADP
iajs-799	1	5	pure	pure	ADJ
iajs-799	1	6	&	&	CCONJ
iajs-799	1	7	appl	appl	PROPN
iajs-799	1	8	.	.	PUNCT
iajs-799	2	1	sci	sci	PROPN
iajs-799	2	2	.	.	PUNCT
iajs-799	2	3	vol.24	vol.24	NOUN
iajs-799	2	4	(	(	PUNCT
iajs-799	2	5	1	1	NUM
iajs-799	2	6	)	)	PUNCT
iajs-799	2	7	2011	2011	NUM
iajs-799	2	8	dynamics	dynamic	NOUN
iajs-799	2	9	of	of	ADP
iajs-799	2	10	double	double	ADJ
iajs-799	2	11	chaos	chaos	NOUN
iajs-799	2	12	a.	a.	NOUN
iajs-799	2	13	m.	m.	PROPN
iajs-799	2	14	ahmed	ahmed	PROPN
iajs-799	2	15	,	,	PUNCT
iajs-799	2	16	s.	s.	PROPN
iajs-799	2	17	noori	noori	PROPN
iajs-799	2	18	department	department	PROPN
iajs-799	2	19	of	of	ADP
iajs-799	2	20	mathematics	mathematics	PROPN
iajs-799	2	21	,	,	PUNCT
iajs-799	2	22	-ibn	-ibn	NUM
iajs-799	2	23	-	-	PUNCT
iajs-799	2	24	al	al	PROPN
iajs-799	2	25	-	-	PUNCT
iajs-799	2	26	haitham	haitham	PROPN
iajs-799	2	27	college	college	PROPN
iajs-799	2	28	of	of	ADP
iajs-799	2	29	education	education	NOUN
iajs-799	2	30	,	,	PUNCT
iajs-799	2	31	university	university	PROPN
iajs-799	2	32	of	of	ADP
iajs-799	2	33	baghdad	baghdad	PROPN
iajs-799	2	34	received	receive	VERB
iajs-799	2	35	in	in	ADP
iajs-799	2	36	sept,24,2000	sept,24,2000	PROPN
iajs-799	2	37	accepted	accept	VERB
iajs-799	2	38	in	in	ADP
iajs-799	2	39	july,11,2001	july,11,2001	PROPN
iajs-799	2	40	abstract	abstract	ADJ
iajs-799	2	41	this	this	DET
iajs-799	2	42	paper	paper	NOUN
iajs-799	2	43	includes	include	VERB
iajs-799	2	44	studying	study	VERB
iajs-799	2	45	(	(	PUNCT
iajs-799	2	46	dynamic	dynamic	ADJ
iajs-799	2	47	of	of	ADP
iajs-799	2	48	double	double	ADJ
iajs-799	2	49	chaos	chaos	NOUN
iajs-799	2	50	)	)	PUNCT
iajs-799	2	51	in	in	ADP
iajs-799	2	52	two	two	NUM
iajs-799	2	53	steps	step	NOUN
iajs-799	2	54	:	:	PUNCT
iajs-799	2	55	first	first	ADJ
iajs-799	2	56	step	step	NOUN
iajs-799	2	57	:	:	PUNCT
iajs-799	2	58	applying	apply	VERB
iajs-799	2	59	ordinary	ordinary	ADJ
iajs-799	2	60	differential	differential	ADJ
iajs-799	2	61	equation	equation	NOUN
iajs-799	2	62	have	have	AUX
iajs-799	2	63	behaved	behave	VERB
iajs-799	2	64	chaotically	chaotically	ADV
iajs-799	2	65	such	such	ADJ
iajs-799	2	66	as	as	ADP
iajs-799	2	67	(	(	PUNCT
iajs-799	2	68	duffing	duffing	NOUN
iajs-799	2	69	's	's	PART
iajs-799	2	70	equation	equation	NOUN
iajs-799	2	71	)	)	PUNCT
iajs-799	2	72	on	on	ADP
iajs-799	2	73	(	(	PUNCT
iajs-799	2	74	double	double	ADJ
iajs-799	2	75	pendulum	pendulum	NOUN
iajs-799	2	76	)	)	PUNCT
iajs-799	2	77	equation	equation	NOUN
iajs-799	2	78	system	system	NOUN
iajs-799	2	79	to	to	PART
iajs-799	2	80	get	get	VERB
iajs-799	2	81	new	new	ADJ
iajs-799	2	82	system	system	NOUN
iajs-799	2	83	of	of	ADP
iajs-799	2	84	ordinary	ordinary	ADJ
iajs-799	2	85	differential	differential	ADJ
iajs-799	2	86	equations	equation	NOUN
iajs-799	2	87	depend	depend	VERB
iajs-799	2	88	on	on	ADP
iajs-799	2	89	it	it	PRON
iajs-799	2	90	next	next	ADJ
iajs-799	2	91	step	step	NOUN
iajs-799	2	92	.	.	PUNCT
iajs-799	3	1	second	second	ADJ
iajs-799	3	2	step	step	NOUN
iajs-799	3	3	:	:	PUNCT
iajs-799	3	4	we	we	PRON
iajs-799	3	5	demonstrate	demonstrate	VERB
iajs-799	3	6	existence	existence	NOUN
iajs-799	3	7	of	of	ADP
iajs-799	3	8	a	a	DET
iajs-799	3	9	dynamics	dynamic	NOUN
iajs-799	3	10	of	of	ADP
iajs-799	3	11	double	double	ADJ
iajs-799	3	12	chaos	chaos	NOUN
iajs-799	3	13	in	in	ADP
iajs-799	3	14	duffing	duffing	NOUN
iajs-799	3	15	's	's	PART
iajs-799	3	16	equation	equation	NOUN
iajs-799	3	17	by	by	ADP
iajs-799	3	18	relying	rely	VERB
iajs-799	3	19	on	on	ADP
iajs-799	3	20	graphical	graphical	ADJ
iajs-799	3	21	result	result	NOUN
iajs-799	3	22	of	of	ADP
iajs-799	3	23	poincare	poincare	PROPN
iajs-799	3	24	's	's	PART
iajs-799	3	25	map	map	NOUN
iajs-799	3	26	from	from	ADP
iajs-799	3	27	numerical	numerical	PROPN
iajs-799	3	28	simulation	simulation	PROPN
iajs-799	3	29	.	.	PUNCT
iajs-799	4	1	key	key	ADJ
iajs-799	4	2	word	word	NOUN
iajs-799	4	3	:	:	PUNCT
iajs-799	4	4	chaos	chaos	NOUN
iajs-799	4	5	,	,	PUNCT
iajs-799	4	6	duffing	duffe	VERB
iajs-799	4	7	equation	equation	NOUN
iajs-799	4	8	introduction	introduction	NOUN
iajs-799	4	9	dynamical	dynamical	ADJ
iajs-799	4	10	system	system	NOUN
iajs-799	4	11	defined	define	VERB
iajs-799	4	12	as	as	ADP
iajs-799	4	13	a	a	DET
iajs-799	4	14	map	map	NOUN
iajs-799	4	15			NOUN
iajs-799	4	16	such	such	ADJ
iajs-799	4	17	that	that	SCONJ
iajs-799	4	18	:kxx	:kxx	PUNCT
iajs-799	4	19	where	where	SCONJ
iajs-799	4	20	x	x	PRON
iajs-799	4	21	is	be	AUX
iajs-799	4	22	a	a	DET
iajs-799	4	23	nonempty	nonempty	ADV
iajs-799	4	24	set	set	VERB
iajs-799	4	25	and	and	CCONJ
iajs-799	4	26	entire	entire	ADJ
iajs-799	4	27	k	k	PROPN
iajs-799	4	28	=	=	SYM
iajs-799	4	29	�	�	PROPN
iajs-799	4	30	or	or	CCONJ
iajs-799	4	31	k	k	PROPN
iajs-799	4	32	=	=	SYM
iajs-799	4	33	�	�	PROPN
iajs-799	4	34	which	which	PRON
iajs-799	4	35	satisfies	satisfy	VERB
iajs-799	4	36	the	the	DET
iajs-799	4	37	following	follow	VERB
iajs-799	4	38	conditions	condition	NOUN
iajs-799	4	39	(0,x	(0,x	NUM
iajs-799	4	40	)	)	PUNCT
iajs-799	4	41	=	=	SYM
iajs-799	4	42	x	x	SYM
iajs-799	4	43	(s,(t	(s,(t	PROPN
iajs-799	4	44	,	,	PUNCT
iajs-799	4	45	x	x	NOUN
iajs-799	4	46	)	)	PUNCT
iajs-799	4	47	)	)	PUNCT
iajs-799	5	1	=	=	SYM
iajs-799	5	2	(s+t	(s+t	X
iajs-799	5	3	,	,	PUNCT
iajs-799	5	4	x	x	NOUN
iajs-799	5	5	)	)	PUNCT
iajs-799	5	6	for	for	ADP
iajs-799	5	7	all	all	DET
iajs-799	5	8	s	s	PROPN
iajs-799	5	9	,	,	PUNCT
iajs-799	5	10	t	t	PROPN
iajs-799	5	11			PROPN
iajs-799	5	12	k	k	PROPN
iajs-799	5	13	,	,	PUNCT
iajs-799	5	14	x	x	PROPN
iajs-799	5	15	x	x	SYM
iajs-799	5	16	,	,	PUNCT
iajs-799	5	17	[	[	X
iajs-799	5	18	1	1	NUM
iajs-799	5	19	]	]	X
iajs-799	5	20	chaotic	chaotic	ADJ
iajs-799	5	21	dynamic	dynamic	NOUN
iajs-799	5	22	is	be	AUX
iajs-799	5	23	a	a	DET
iajs-799	5	24	study	study	NOUN
iajs-799	5	25	of	of	ADP
iajs-799	5	26	such	such	ADJ
iajs-799	5	27	systems	system	NOUN
iajs-799	5	28	behavior	behavior	NOUN
iajs-799	5	29	and	and	CCONJ
iajs-799	5	30	dispite	dispite	VERB
iajs-799	5	31	the	the	DET
iajs-799	5	32	unpredictability	unpredictability	NOUN
iajs-799	5	33	of	of	ADP
iajs-799	5	34	chaotic	chaotic	ADJ
iajs-799	5	35	motion	motion	NOUN
iajs-799	5	36	.	.	PUNCT
iajs-799	6	1	1.1	1.1	NUM
iajs-799	6	2	definition	definition	NOUN
iajs-799	6	3	:	:	PUNCT
iajs-799	6	4	let	let	VERB
iajs-799	6	5	f	f	X
iajs-799	6	6	:	:	PUNCT
iajs-799	6	7	j	j	PROPN
iajs-799	6	8			PROPN
iajs-799	6	9	j	j	PROPN
iajs-799	6	10	be	be	VERB
iajs-799	6	11	any	any	DET
iajs-799	6	12	function	function	NOUN
iajs-799	6	13	where	where	SCONJ
iajs-799	6	14	j	j	PROPN
iajs-799	6	15	is	be	AUX
iajs-799	6	16	an	an	DET
iajs-799	6	17	open	open	ADJ
iajs-799	6	18	set	set	NOUN
iajs-799	6	19	then	then	ADV
iajs-799	6	20	f	f	PROPN
iajs-799	6	21	has	have	VERB
iajs-799	6	22	(	(	PUNCT
iajs-799	6	23	sensitive	sensitive	ADJ
iajs-799	6	24	dependence	dependence	NOUN
iajs-799	6	25	on	on	ADP
iajs-799	6	26	initial	initial	ADJ
iajs-799	6	27	condition	condition	NOUN
iajs-799	6	28	)	)	PUNCT
iajs-799	6	29	(	(	PUNCT
iajs-799	6	30	xj	xj	ADV
iajs-799	6	31	)	)	PUNCT
iajs-799	6	32	if	if	SCONJ
iajs-799	6	33	(	(	PUNCT
iajs-799	6	34	yj	yj	NOUN
iajs-799	6	35	)	)	PUNCT
iajs-799	6	36	and	and	CCONJ
iajs-799	6	37	(	(	PUNCT
iajs-799	6	38	n	n	PROPN
iajs-799	6	39	�	�	PROPN
iajs-799	6	40	)	)	PUNCT
iajs-799	6	41	such	such	ADJ
iajs-799	6	42	that	that	SCONJ
iajs-799	6	43	if	if	SCONJ
iajs-799	6	44	x	x	PROPN
iajs-799	6	45	–	–	PUNCT
iajs-799	6	46	y	y	VERB
iajs-799	6	47	<	<	X
iajs-799	7	1			NUM
iajs-799	7	2	then	then	ADV
iajs-799	7	3	f(n)(x	f(n)(x	NUM
iajs-799	7	4	)	)	PUNCT
iajs-799	7	5	–	–	PUNCT
iajs-799	7	6	f(n)(y)	f(n)(y)	ADJ
iajs-799	7	7	>	>	X
iajs-799	7	8	.	.	PROPN
iajs-799	7	9	raughly	raughly	ADV
iajs-799	7	10	speaking	speak	VERB
iajs-799	7	11	the	the	DET
iajs-799	7	12	iterates	iterate	NOUN
iajs-799	7	13	of	of	ADP
iajs-799	7	14	neighboring	neighboring	NOUN
iajs-799	7	15	points	point	NOUN
iajs-799	7	16	separate	separate	ADJ
iajs-799	7	17	from	from	ADP
iajs-799	7	18	one	one	NUM
iajs-799	7	19	another	another	DET
iajs-799	7	20	,	,	PUNCT
iajs-799	8	1	[	[	X
iajs-799	8	2	2	2	NUM
iajs-799	8	3	]	]	PUNCT
iajs-799	8	4	.	.	PUNCT
iajs-799	9	1	1.2	1.2	NUM
iajs-799	9	2	definition	definition	NOUN
iajs-799	9	3	:	:	PUNCT
iajs-799	9	4	let	let	VERB
iajs-799	9	5	j	j	PROPN
iajs-799	9	6	be	be	AUX
iajs-799	9	7	a	a	DET
iajs-799	9	8	boundary	boundary	ADJ
iajs-799	9	9	open	open	ADJ
iajs-799	9	10	set	set	NOUN
iajs-799	9	11	,	,	PUNCT
iajs-799	9	12	and	and	CCONJ
iajs-799	9	13	f	f	X
iajs-799	9	14	:	:	PUNCT
iajs-799	9	15	j	j	PROPN
iajs-799	9	16			PROPN
iajs-799	9	17	j	j	PROPN
iajs-799	9	18	be	be	VERB
iajs-799	9	19	a	a	DET
iajs-799	9	20	continuous	continuous	ADJ
iajs-799	9	21	differentiable	differentiable	ADJ
iajs-799	9	22	function	function	NOUN
iajs-799	9	23	on	on	ADP
iajs-799	9	24	j	j	PROPN
iajs-799	9	25	(	(	PUNCT
iajs-799	9	26	xj	xj	PROPN
iajs-799	9	27	)	)	PUNCT
iajs-799	9	28	,	,	PUNCT
iajs-799	9	29	(x	(x	NUM
iajs-799	9	30	)	)	PUNCT
iajs-799	9	31	=	=	SYM
iajs-799	9	32	n	n	NUM
iajs-799	9	33	lim	lim	NOUN
iajs-799	9	34			NOUN
iajs-799	9	35	(	(	PUNCT
iajs-799	9	36	1	1	NUM
iajs-799	9	37	/	/	SYM
iajs-799	9	38	n	n	CCONJ
iajs-799	9	39	)	)	PUNCT
iajs-799	9	40	lnf(n)(x)	lnf(n)(x)	NOUN
iajs-799	9	41	and	and	CCONJ
iajs-799	9	42	the	the	DET
iajs-799	9	43	limite	limite	PROPN
iajs-799	9	44	exists	exist	NOUN
iajs-799	9	45	,	,	PUNCT
iajs-799	9	46	(x	(x	NOUN
iajs-799	9	47	)	)	PUNCT
iajs-799	9	48	is	be	AUX
iajs-799	9	49	the	the	DET
iajs-799	9	50	(	(	PUNCT
iajs-799	9	51	lyapunov	lyapunov	NOUN
iajs-799	9	52	exponent	exponent	NOUN
iajs-799	9	53	)	)	PUNCT
iajs-799	9	54	of	of	ADP
iajs-799	9	55	f	f	PROPN
iajs-799	9	56	at	at	ADP
iajs-799	9	57	x	x	X
iajs-799	9	58	,	,	PUNCT
iajs-799	9	59	[	[	X
iajs-799	9	60	2	2	NUM
iajs-799	9	61	]	]	PUNCT
iajs-799	9	62	.	.	PUNCT
iajs-799	10	1	1.3	1.3	NUM
iajs-799	10	2	definition	definition	NOUN
iajs-799	10	3	:	:	PUNCT
iajs-799	10	4	a	a	DET
iajs-799	10	5	function	function	NOUN
iajs-799	10	6	f	f	PROPN
iajs-799	10	7	is	be	AUX
iajs-799	10	8	chaotic	chaotic	ADJ
iajs-799	10	9	if	if	SCONJ
iajs-799	10	10	it	it	PRON
iajs-799	10	11	satisfies	satisfy	VERB
iajs-799	10	12	at	at	ADP
iajs-799	10	13	least	least	ADJ
iajs-799	10	14	one	one	NUM
iajs-799	10	15	of	of	ADP
iajs-799	10	16	the	the	DET
iajs-799	10	17	following	following	ADJ
iajs-799	10	18	conditions	condition	NOUN
iajs-799	10	19	:	:	PUNCT
iajs-799	10	20	i.	i.	PROPN
iajs-799	10	21	f	f	PROPN
iajs-799	10	22	has	have	VERB
iajs-799	10	23	positive	positive	ADJ
iajs-799	10	24	lyaponov	lyaponov	NOUN
iajs-799	10	25	exponent	exponent	NOUN
iajs-799	10	26	at	at	ADP
iajs-799	10	27	each	each	DET
iajs-799	10	28	point	point	NOUN
iajs-799	10	29	of	of	ADP
iajs-799	10	30	its	its	PRON
iajs-799	10	31	domain	domain	NOUN
iajs-799	10	32	(	(	PUNCT
iajs-799	10	33	i.e.	i.e.	X
iajs-799	10	34	eventually	eventually	ADV
iajs-799	10	35	periodic	periodic	ADJ
iajs-799	10	36	)	)	PUNCT
iajs-799	10	37	.	.	PUNCT
iajs-799	11	1	ii	ii	PROPN
iajs-799	11	2	.	.	PUNCT
iajs-799	12	1	f	f	PROPN
iajs-799	12	2	has	have	VERB
iajs-799	12	3	sensitive	sensitive	ADJ
iajs-799	12	4	dependence	dependence	NOUN
iajs-799	12	5	on	on	ADP
iajs-799	12	6	initial	initial	ADJ
iajs-799	12	7	condition	condition	NOUN
iajs-799	12	8	of	of	ADP
iajs-799	12	9	its	its	PRON
iajs-799	12	10	domain	domain	NOUN
iajs-799	12	11	,	,	PUNCT
iajs-799	12	12	[	[	X
iajs-799	12	13	2	2	NUM
iajs-799	12	14	]	]	PUNCT
iajs-799	12	15	.	.	PUNCT
iajs-799	13	1	2poincare	2poincare	NUM
iajs-799	13	2	's	's	PART
iajs-799	13	3	map	map	NOUN
iajs-799	13	4	:	:	PUNCT
iajs-799	13	5	let	let	VERB
iajs-799	13	6	p	p	PRON
iajs-799	13	7	a	a	DET
iajs-799	13	8	map	map	NOUN
iajs-799	13	9	which	which	PRON
iajs-799	13	10	is	be	AUX
iajs-799	13	11	defined	define	VERB
iajs-799	13	12	as	as	ADP
iajs-799	13	13	the	the	DET
iajs-799	13	14	following	following	NOUN
iajs-799	13	15	:	:	PUNCT
iajs-799	13	16	p:	p:	ADP
iajs-799	13	17	such	such	ADJ
iajs-799	13	18	that	that	SCONJ
iajs-799	13	19			PROPN
iajs-799	13	20	is	be	AUX
iajs-799	13	21	a	a	DET
iajs-799	13	22	two	two	NUM
iajs-799	13	23	dimensional	dimensional	ADJ
iajs-799	13	24	cross	cross	NOUN
iajs-799	13	25	with	with	ADP
iajs-799	13	26	coordinates	coordinate	NOUN
iajs-799	13	27	x	x	PUNCT
iajs-799	13	28	and	and	CCONJ
iajs-799	13	29	y	y	PROPN
iajs-799	13	30	the	the	DET
iajs-799	13	31	time	time	NOUN
iajs-799	13	32	dimension	dimension	PROPN
iajs-799	13	33	t	t	PROPN
iajs-799	13	34	of	of	ADP
iajs-799	13	35	this	this	DET
iajs-799	13	36	map	map	NOUN
iajs-799	13	37	which	which	PRON
iajs-799	13	38	takes	take	VERB
iajs-799	13	39	the	the	DET
iajs-799	13	40	path	path	NOUN
iajs-799	13	41	orbits	orbit	NOUN
iajs-799	13	42	of	of	ADP
iajs-799	13	43	the	the	DET
iajs-799	13	44	point	point	NOUN
iajs-799	13	45	x0	x0	PROPN
iajs-799	13	46	lies	lie	VERB
iajs-799	13	47	on	on	ADP
iajs-799	13	48			X
iajs-799	13	49	onto	onto	ADP
iajs-799	13	50	its	its	PRON
iajs-799	13	51	image	image	NOUN
iajs-799	13	52	p(x0	p(x0	PROPN
iajs-799	13	53	)	)	PUNCT
iajs-799	13	54	by	by	ADP
iajs-799	13	55	the	the	DET
iajs-799	13	56	map	map	NOUN
iajs-799	13	57	p.	p.	PROPN
iajs-799	13	58	ibn	ibn	PROPN
iajs-799	13	59	alhaitham	alhaitham	PROPN
iajs-799	13	60	j.	j.	PROPN
iajs-799	13	61	for	for	ADP
iajs-799	13	62	pure	pure	ADJ
iajs-799	13	63	&	&	CCONJ
iajs-799	13	64	appl	appl	PROPN
iajs-799	13	65	.	.	PUNCT
iajs-799	14	1	sci	sci	PROPN
iajs-799	14	2	.	.	PUNCT
iajs-799	14	3	vol.24	vol.24	NOUN
iajs-799	14	4	(	(	PUNCT
iajs-799	14	5	1	1	NUM
iajs-799	14	6	)	)	PUNCT
iajs-799	14	7	2011	2011	NUM
iajs-799	14	8	therefore	therefore	ADV
iajs-799	14	9	poincare	poincare	PROPN
iajs-799	14	10	map	map	PROPN
iajs-799	14	11	treats	treat	VERB
iajs-799	14	12	the	the	DET
iajs-799	14	13	non	non	ADJ
iajs-799	14	14	autonomous	autonomous	ADJ
iajs-799	14	15	ordinary	ordinary	ADJ
iajs-799	14	16	differential	differential	ADJ
iajs-799	14	17	equation	equation	NOUN
iajs-799	14	18	system	system	NOUN
iajs-799	14	19	x	x	SYM
iajs-799	14	20	�	�	PROPN
iajs-799	14	21	�	�	PROPN
iajs-799	14	22	=	=	SYM
iajs-799	14	23	f(x	f(x	PROPN
iajs-799	14	24	,	,	PUNCT
iajs-799	14	25	x	x	PROPN
iajs-799	14	26	�	�	PROPN
iajs-799	14	27	,	,	PUNCT
iajs-799	14	28	t	t	PROPN
iajs-799	14	29	)	)	PUNCT
iajs-799	14	30	for	for	ADP
iajs-799	14	31	dx	dx	PROPN
iajs-799	14	32	x	x	VERB
iajs-799	15	1	y	y	VERB
iajs-799	15	2	dt	dt	X
iajs-799	15	3			PROPN
iajs-799	15	4			PROPN
iajs-799	15	5	�	�	PROPN
iajs-799	15	6	and	and	CCONJ
iajs-799	15	7	dy	dy	NOUN
iajs-799	15	8	y	y	PROPN
iajs-799	15	9	f	f	PROPN
iajs-799	15	10	(	(	PUNCT
iajs-799	15	11	x	x	PROPN
iajs-799	15	12	,	,	PUNCT
iajs-799	15	13	y	y	PROPN
iajs-799	15	14	,	,	PUNCT
iajs-799	15	15	z	z	NOUN
iajs-799	15	16	)	)	PUNCT
iajs-799	15	17	dt	dt	PROPN
iajs-799	16	1			PROPN
iajs-799	16	2			PROPN
iajs-799	16	3	�	�	PROPN
iajs-799	16	4	where	where	SCONJ
iajs-799	16	5	z	z	NOUN
iajs-799	16	6	=	=	SYM
iajs-799	16	7	t	t	PROPN
iajs-799	16	8	with	with	ADP
iajs-799	16	9	z	z	PROPN
iajs-799	16	10	1	1	PROPN
iajs-799	16	11	�	�	PROPN
iajs-799	16	12	and	and	CCONJ
iajs-799	16	13	for	for	ADP
iajs-799	16	14	the	the	DET
iajs-799	16	15	autonomous	autonomous	ADJ
iajs-799	16	16	system	system	NOUN
iajs-799	16	17	of	of	ADP
iajs-799	16	18	ordinary	ordinary	ADJ
iajs-799	16	19	differential	differential	ADJ
iajs-799	16	20	equation	equation	NOUN
iajs-799	16	21	x	x	X
iajs-799	16	22	f	f	X
iajs-799	16	23	(	(	PUNCT
iajs-799	16	24	x	x	PROPN
iajs-799	16	25	,	,	PUNCT
iajs-799	16	26	x)	x)	PROPN
iajs-799	16	27	�	�	PROPN
iajs-799	16	28	�	�	PROPN
iajs-799	16	29	�	�	PROPN
iajs-799	16	30	for	for	ADP
iajs-799	16	31	dx	dx	PROPN
iajs-799	16	32	x	x	VERB
iajs-799	16	33	y	y	VERB
iajs-799	16	34	dt	dt	X
iajs-799	16	35			PROPN
iajs-799	16	36			PROPN
iajs-799	16	37	�	�	PROPN
iajs-799	16	38	and	and	CCONJ
iajs-799	16	39	dy	dy	NOUN
iajs-799	16	40	x	x	PROPN
iajs-799	16	41	y	y	PROPN
iajs-799	16	42	f	f	PROPN
iajs-799	16	43	(	(	PUNCT
iajs-799	16	44	x	x	PROPN
iajs-799	16	45	,	,	PUNCT
iajs-799	16	46	x,0	x,0	PROPN
iajs-799	16	47	)	)	PUNCT
iajs-799	17	1	f	f	PROPN
iajs-799	17	2	(	(	PUNCT
iajs-799	17	3	x	x	X
iajs-799	17	4	,	,	PUNCT
iajs-799	17	5	y,0	y,0	NUM
iajs-799	17	6	)	)	PUNCT
iajs-799	17	7	f	f	PROPN
iajs-799	17	8	(	(	PUNCT
iajs-799	17	9	x	x	X
iajs-799	17	10	,	,	PUNCT
iajs-799	17	11	y	y	PROPN
iajs-799	17	12	)	)	PUNCT
iajs-799	17	13	dt	dt	PROPN
iajs-799	18	1			NOUN
iajs-799	19	1			ADJ
iajs-799	20	1			NUM
iajs-799	21	1			PRON
iajs-799	22	1			NUM
iajs-799	22	2	�	�	PROPN
iajs-799	22	3	�	�	PROPN
iajs-799	22	4	�	�	PROPN
iajs-799	22	5	where	where	SCONJ
iajs-799	22	6	z	z	NOUN
iajs-799	22	7	=	=	SYM
iajs-799	22	8	t	t	PROPN
iajs-799	22	9	=	=	SYM
iajs-799	22	10	0	0	NUM
iajs-799	22	11	,	,	PUNCT
iajs-799	22	12	[	[	X
iajs-799	22	13	1	1	NUM
iajs-799	22	14	]	]	PUNCT
iajs-799	22	15	.	.	PUNCT
iajs-799	23	1	duffing	duffing	NOUN
iajs-799	23	2	's	's	PART
iajs-799	23	3	equation	equation	NOUN
iajs-799	23	4	:	:	PUNCT
iajs-799	23	5	duffing	duffing	NOUN
iajs-799	23	6	's	's	PART
iajs-799	23	7	equation	equation	NOUN
iajs-799	23	8	was	be	AUX
iajs-799	23	9	first	first	ADV
iajs-799	23	10	given	give	VERB
iajs-799	23	11	in	in	ADP
iajs-799	23	12	1918	1918	NUM
iajs-799	23	13	is	be	AUX
iajs-799	23	14	a	a	DET
iajs-799	23	15	non	non	ADJ
iajs-799	23	16	linear	linear	PROPN
iajs-799	23	17	oscillator	oscillator	NOUN
iajs-799	23	18	differential	differential	NOUN
iajs-799	23	19	equation	equation	NOUN
iajs-799	23	20	of	of	ADP
iajs-799	23	21	second	second	ADJ
iajs-799	23	22	order	order	NOUN
iajs-799	23	23	non	non	ADJ
iajs-799	23	24	-	-	ADJ
iajs-799	23	25	autonomous	autonomous	ADJ
iajs-799	23	26	type	type	NOUN
iajs-799	23	27	,	,	PUNCT
iajs-799	23	28	take	take	VERB
iajs-799	23	29	the	the	DET
iajs-799	23	30	form	form	NOUN
iajs-799	23	31	:	:	PUNCT
iajs-799	23	32	x	x	SYM
iajs-799	23	33	�	�	PROPN
iajs-799	23	34	�	�	PROPN
iajs-799	23	35	+	+	CCONJ
iajs-799	23	36	h	h	NOUN
iajs-799	23	37	x	x	X
iajs-799	23	38	�	�	PROPN
iajs-799	23	39	–	–	PUNCT
iajs-799	23	40	x	x	X
iajs-799	23	41	+	+	X
iajs-799	23	42	x3	x3	NUM
iajs-799	23	43	=	=	SYM
iajs-799	23	44	c	c	NOUN
iajs-799	23	45	cos(wt	cos(wt	NOUN
iajs-799	23	46	)	)	PUNCT
iajs-799	23	47	…	…	PUNCT
iajs-799	23	48	(	(	PUNCT
iajs-799	23	49	1	1	NUM
iajs-799	23	50	)	)	PUNCT
iajs-799	23	51	for	for	ADP
iajs-799	23	52			NOUN
iajs-799	23	53	,	,	PUNCT
iajs-799	23	54			PROPN
iajs-799	23	55	,	,	PUNCT
iajs-799	23	56	h	h	NOUN
iajs-799	23	57	>	>	X
iajs-799	23	58	0	0	X
iajs-799	23	59	.	.	PUNCT
iajs-799	24	1	its	its	PRON
iajs-799	24	2	significance	significance	NOUN
iajs-799	24	3	comes	come	VERB
iajs-799	24	4	from	from	ADP
iajs-799	24	5	representing	represent	VERB
iajs-799	24	6	chaotic	chaotic	ADJ
iajs-799	24	7	behavior	behavior	NOUN
iajs-799	24	8	of	of	ADP
iajs-799	24	9	non	non	ADJ
iajs-799	24	10	linear	linear	ADJ
iajs-799	24	11	ordinary	ordinary	ADJ
iajs-799	24	12	differential	differential	ADJ
iajs-799	24	13	equation	equation	NOUN
iajs-799	24	14	,	,	PUNCT
iajs-799	24	15	[	[	X
iajs-799	24	16	3	3	NUM
iajs-799	24	17	]	]	PUNCT
iajs-799	24	18	.	.	PUNCT
iajs-799	25	1	according	accord	VERB
iajs-799	25	2	to	to	ADP
iajs-799	25	3	equation	equation	NOUN
iajs-799	25	4	(	(	PUNCT
iajs-799	25	5	1	1	X
iajs-799	25	6	)	)	PUNCT
iajs-799	25	7	we	we	PRON
iajs-799	25	8	first	first	ADV
iajs-799	25	9	let	let	VERB
iajs-799	25	10	x	x	PUNCT
iajs-799	25	11	=	=	SYM
iajs-799	26	1	x1	x1	PROPN
iajs-799	26	2	1	1	NUM
iajs-799	26	3	2x	2x	NUM
iajs-799	26	4	x	x	X
iajs-799	26	5	x	x	PROPN
iajs-799	26	6			NUM
iajs-799	26	7	�	�	PROPN
iajs-799	26	8	�	�	PROPN
iajs-799	26	9	1	1	NUM
iajs-799	26	10	2x	2x	NUM
iajs-799	26	11	x	x	X
iajs-799	26	12	x	x	PROPN
iajs-799	26	13			NUM
iajs-799	26	14	�	�	PROPN
iajs-799	26	15	�	�	PROPN
iajs-799	26	16	�	�	PROPN
iajs-799	26	17	�	�	PROPN
iajs-799	26	18	�	�	PROPN
iajs-799	26	19	then	then	ADV
iajs-799	26	20	we	we	PRON
iajs-799	26	21	have	have	VERB
iajs-799	26	22	the	the	DET
iajs-799	26	23	system	system	NOUN
iajs-799	26	24	1	1	NUM
iajs-799	26	25	2	2	NUM
iajs-799	26	26	2	2	NUM
iajs-799	26	27	3	3	NUM
iajs-799	26	28	1	1	NUM
iajs-799	26	29	2	2	NUM
iajs-799	26	30	1	1	NUM
iajs-799	26	31	x	x	SYM
iajs-799	26	32	x	x	SYM
iajs-799	26	33	x	x	SYM
iajs-799	26	34	x	x	SYM
iajs-799	26	35	hx	hx	PROPN
iajs-799	26	36	x	x	PROPN
iajs-799	26	37	ccos(wt	ccos(wt	PROPN
iajs-799	26	38	)	)	PUNCT
iajs-799	26	39			PROPN
iajs-799	26	40			PROPN
iajs-799	26	41			PROPN
iajs-799	26	42			PROPN
iajs-799	26	43			PROPN
iajs-799	26	44			X
iajs-799	26	45			PROPN
iajs-799	26	46	�	�	PROPN
iajs-799	26	47	�	�	PROPN
iajs-799	26	48	…	…	PUNCT
iajs-799	26	49	(	(	PUNCT
iajs-799	26	50	2	2	NUM
iajs-799	26	51	)	)	PUNCT
iajs-799	26	52	in	in	ADP
iajs-799	26	53	[	[	X
iajs-799	26	54	4	4	NUM
iajs-799	26	55	]	]	PUNCT
iajs-799	26	56	obtained	obtain	VERB
iajs-799	26	57	that	that	PRON
iajs-799	26	58	for	for	ADP
iajs-799	26	59	c(1.08,2.45	c(1.08,2.45	NOUN
iajs-799	26	60	)	)	PUNCT
iajs-799	26	61	.	.	PUNCT
iajs-799	27	1	the	the	DET
iajs-799	27	2	average	average	ADJ
iajs-799	27	3	results	result	NOUN
iajs-799	27	4	fail	fail	VERB
iajs-799	27	5	completely	completely	ADV
iajs-799	27	6	and	and	CCONJ
iajs-799	27	7	the	the	DET
iajs-799	27	8	solution	solution	NOUN
iajs-799	27	9	behave	behave	VERB
iajs-799	27	10	in	in	ADP
iajs-799	27	11	a	a	DET
iajs-799	27	12	complex	complex	ADJ
iajs-799	27	13	and	and	CCONJ
iajs-799	27	14	erratic	erratic	ADJ
iajs-799	27	15	manner	manner	NOUN
iajs-799	27	16	,	,	PUNCT
iajs-799	27	17	i.e.	i.e.	X
iajs-799	27	18	chaotic	chaotic	ADJ
iajs-799	27	19	,	,	PUNCT
iajs-799	27	20	these	these	DET
iajs-799	27	21	results	result	NOUN
iajs-799	27	22	came	come	VERB
iajs-799	27	23	out	out	ADP
iajs-799	27	24	by	by	ADP
iajs-799	27	25	examining	examine	VERB
iajs-799	27	26	successive	successive	ADJ
iajs-799	27	27	iterates	iterate	NOUN
iajs-799	27	28	of	of	ADP
iajs-799	27	29	poincare	poincare	PROPN
iajs-799	27	30	map	map	NOUN
iajs-799	27	31	with	with	ADP
iajs-799	27	32	non	non	ADJ
iajs-799	27	33	-	-	ADJ
iajs-799	27	34	autonomous	autonomous	ADJ
iajs-799	27	35	ordinary	ordinary	ADJ
iajs-799	27	36	differential	differential	ADJ
iajs-799	27	37	equation	equation	NOUN
iajs-799	27	38	system	system	NOUN
iajs-799	27	39	2	2	NUM
iajs-799	27	40	1	1	NUM
iajs-799	27	41	2x	2x	NUM
iajs-799	27	42	x	x	SYM
iajs-799	27	43	f	f	X
iajs-799	27	44	(	(	PUNCT
iajs-799	27	45	x	x	X
iajs-799	27	46	,	,	PUNCT
iajs-799	27	47	x	x	INTJ
iajs-799	27	48	,	,	PUNCT
iajs-799	27	49	t)	t)	NOUN
iajs-799	27	50			PROPN
iajs-799	27	51	�	�	PROPN
iajs-799	27	52	�	�	PROPN
iajs-799	27	53	�	�	PROPN
iajs-799	27	54	.	.	PUNCT
iajs-799	28	1	while	while	SCONJ
iajs-799	28	2	in	in	ADP
iajs-799	28	3	[	[	X
iajs-799	28	4	5	5	NUM
iajs-799	28	5	]	]	PUNCT
iajs-799	28	6	obtained	obtain	VERB
iajs-799	28	7	chaotic	chaotic	ADJ
iajs-799	28	8	behavior	behavior	NOUN
iajs-799	28	9	of	of	ADP
iajs-799	28	10	system	system	NOUN
iajs-799	28	11	(	(	PUNCT
iajs-799	28	12	2	2	NUM
iajs-799	28	13	)	)	PUNCT
iajs-799	28	14	for	for	ADP
iajs-799	28	15	different	different	ADJ
iajs-799	28	16	values	value	NOUN
iajs-799	28	17	of	of	ADP
iajs-799	28	18	the	the	DET
iajs-799	28	19	parameters	parameter	NOUN
iajs-799	28	20	h	h	NOUN
iajs-799	28	21	and	and	CCONJ
iajs-799	28	22	c	c	NOUN
iajs-799	28	23	with	with	ADP
iajs-799	28	24			PROPN
iajs-799	28	25	=	=	SYM
iajs-799	28	26	0	0	NUM
iajs-799	28	27	,	,	PUNCT
iajs-799	28	28			X
iajs-799	28	29	=	=	SYM
iajs-799	28	30	1	1	X
iajs-799	28	31	.	.	X
iajs-799	28	32	double	double	ADJ
iajs-799	28	33	pendulume	pendulume	PROPN
iajs-799	28	34	problem	problem	NOUN
iajs-799	28	35	:	:	PUNCT
iajs-799	29	1	[	[	X
iajs-799	29	2	5	5	X
iajs-799	29	3	]	]	PUNCT
iajs-799	29	4	the	the	DET
iajs-799	29	5	problem	problem	NOUN
iajs-799	29	6	is	be	AUX
iajs-799	29	7	a	a	DET
iajs-799	29	8	direct	direct	ADJ
iajs-799	29	9	application	application	NOUN
iajs-799	29	10	of	of	ADP
iajs-799	29	11	newton	newton	PROPN
iajs-799	29	12	's	's	PART
iajs-799	29	13	law	law	NOUN
iajs-799	29	14	to	to	ADP
iajs-799	29	15	the	the	DET
iajs-799	29	16	motion	motion	NOUN
iajs-799	29	17	of	of	ADP
iajs-799	29	18	simple	simple	ADJ
iajs-799	29	19	systems	system	NOUN
iajs-799	29	20	and	and	CCONJ
iajs-799	29	21	in	in	ADP
iajs-799	29	22	this	this	DET
iajs-799	29	23	paper	paper	NOUN
iajs-799	29	24	it	it	PRON
iajs-799	29	25	is	be	AUX
iajs-799	29	26	about	about	ADP
iajs-799	29	27	the	the	DET
iajs-799	29	28	following	follow	VERB
iajs-799	29	29	simple	simple	ADJ
iajs-799	29	30	system	system	NOUN
iajs-799	29	31	:	:	PUNCT
iajs-799	29	32	g	g	NOUN
iajs-799	29	33	2	2	NUM
iajs-799	29	34	2	2	NUM
iajs-799	29	35	0	0	NUM
iajs-799	29	36	1	1	NUM
iajs-799	29	37	g	g	NOUN
iajs-799	29	38	0	0	NUM
iajs-799	29	39	1	1	NUM
iajs-799	29	40			PROPN
iajs-799	29	41			PROPN
iajs-799	29	42			VERB
iajs-799	29	43			NOUN
iajs-799	29	44			NUM
iajs-799	29	45			NOUN
iajs-799	29	46			PROPN
iajs-799	29	47			NOUN
iajs-799	29	48			NUM
iajs-799	29	49	�	�	PROPN
iajs-799	29	50	�	�	PROPN
iajs-799	29	51	�	�	PROPN
iajs-799	29	52	�	�	PROPN
iajs-799	29	53	�	�	PROPN
iajs-799	29	54	�	�	PROPN
iajs-799	29	55	�	�	PROPN
iajs-799	29	56	�	�	PROPN
iajs-799	29	57	…	…	PUNCT
iajs-799	29	58	(	(	PUNCT
iajs-799	29	59	3	3	NUM
iajs-799	29	60	)	)	PUNCT
iajs-799	29	61	where	where	SCONJ
iajs-799	29	62			NOUN
iajs-799	29	63	,	,	PUNCT
iajs-799	29	64			PROPN
iajs-799	29	65	are	be	AUX
iajs-799	29	66	the	the	DET
iajs-799	29	67	angles	angle	NOUN
iajs-799	29	68	of	of	ADP
iajs-799	29	69	the	the	DET
iajs-799	29	70	first	first	ADJ
iajs-799	29	71	and	and	CCONJ
iajs-799	29	72	second	second	ADJ
iajs-799	29	73	pendulum	pendulum	NOUN
iajs-799	29	74	respectively	respectively	ADV
iajs-799	29	75	.	.	PUNCT
iajs-799	30	1	3double	3double	NUM
iajs-799	30	2	duffing	duffing	NOUN
iajs-799	30	3	's	's	PART
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iajs-799	30	7	the	the	DET
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iajs-799	30	9	differential	differential	ADJ
iajs-799	30	10	equation	equation	NOUN
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iajs-799	30	12	(	(	PUNCT
iajs-799	30	13	3	3	X
iajs-799	30	14	)	)	PUNCT
iajs-799	30	15	if	if	SCONJ
iajs-799	30	16	both	both	PRON
iajs-799	30	17	of	of	ADP
iajs-799	30	18	the	the	DET
iajs-799	30	19	first	first	ADJ
iajs-799	30	20	and	and	CCONJ
iajs-799	30	21	the	the	DET
iajs-799	30	22	second	second	ADJ
iajs-799	30	23	pendulum	pendulum	NOUN
iajs-799	30	24	correspond	correspond	VERB
iajs-799	30	25	to	to	ADP
iajs-799	30	26	the	the	DET
iajs-799	30	27	motion	motion	NOUN
iajs-799	30	28	of	of	ADP
iajs-799	30	29	duffing	duffe	VERB
iajs-799	30	30	equation	equation	NOUN
iajs-799	30	31	)	)	PUNCT
iajs-799	30	32	.	.	PUNCT
iajs-799	31	1	by	by	ADP
iajs-799	31	2	letting	let	VERB
iajs-799	31	3			NOUN
iajs-799	31	4	=	=	PUNCT
iajs-799	31	5	x	x	PUNCT
iajs-799	31	6	=	=	SYM
iajs-799	31	7	x1	x1	NUM
iajs-799	31	8			X
iajs-799	31	9	=	=	PUNCT
iajs-799	31	10	x	x	PUNCT
iajs-799	31	11	=	=	SYM
iajs-799	31	12	x2	x2	PROPN
iajs-799	31	13	then	then	ADV
iajs-799	31	14	1	1	NUM
iajs-799	31	15	111y	111y	NUM
iajs-799	31	16	x	x	PUNCT
iajs-799	31	17	x	x	PUNCT
iajs-799	31	18	y	y	NOUN
iajs-799	31	19	x	x	X
iajs-799	31	20	x	x	PUNCT
iajs-799	32	1			NUM
iajs-799	32	2			NOUN
iajs-799	33	1			NUM
iajs-799	33	2			NUM
iajs-799	33	3	�	�	PROPN
iajs-799	33	4	�	�	PROPN
iajs-799	33	5	�	�	PROPN
iajs-799	33	6	�	�	PROPN
iajs-799	33	7	�	�	PROPN
iajs-799	33	8	�	�	PROPN
iajs-799	33	9	�	�	PROPN
iajs-799	33	10	ibn	ibn	PROPN
iajs-799	33	11	alhaitham	alhaitham	NOUN
iajs-799	33	12	j.	j.	PROPN
iajs-799	33	13	for	for	ADP
iajs-799	33	14	pure	pure	ADJ
iajs-799	33	15	&	&	CCONJ
iajs-799	33	16	appl	appl	PROPN
iajs-799	33	17	.	.	PUNCT
iajs-799	34	1	sci	sci	PROPN
iajs-799	34	2	.	.	PUNCT
iajs-799	34	3	vol.24	vol.24	NOUN
iajs-799	34	4	(	(	PUNCT
iajs-799	34	5	1	1	NUM
iajs-799	34	6	)	)	PUNCT
iajs-799	34	7	2011	2011	NUM
iajs-799	34	8	2	2	NUM
iajs-799	34	9	222y	222y	NUM
iajs-799	34	10	x	x	SYM
iajs-799	34	11	x	x	PUNCT
iajs-799	34	12	y	y	NOUN
iajs-799	34	13	x	x	X
iajs-799	34	14	x	x	PUNCT
iajs-799	35	1			NUM
iajs-799	35	2			NOUN
iajs-799	36	1			NUM
iajs-799	36	2			NUM
iajs-799	36	3	�	�	PROPN
iajs-799	36	4	�	�	PROPN
iajs-799	36	5	�	�	PROPN
iajs-799	36	6	�	�	PROPN
iajs-799	36	7	�	�	PROPN
iajs-799	36	8	�	�	PROPN
iajs-799	36	9	�	�	PROPN
iajs-799	36	10	and	and	CCONJ
iajs-799	36	11	z1	z1	PROPN
iajs-799	36	12	=	=	SYM
iajs-799	36	13	t	t	PROPN
iajs-799	36	14			NOUN
iajs-799	36	15	1z	1z	NUM
iajs-799	36	16	1	1	NUM
iajs-799	36	17	�	�	PROPN
iajs-799	36	18	z2	z2	PROPN
iajs-799	36	19	=	=	SYM
iajs-799	36	20	t	t	PROPN
iajs-799	36	21			NOUN
iajs-799	37	1	2z	2z	NUM
iajs-799	37	2	1	1	NUM
iajs-799	37	3	�	�	PROPN
iajs-799	37	4	the	the	DET
iajs-799	37	5	above	above	ADJ
iajs-799	37	6	assumption	assumption	NOUN
iajs-799	37	7	would	would	AUX
iajs-799	37	8	give	give	VERB
iajs-799	37	9	us	we	PRON
iajs-799	37	10	the	the	DET
iajs-799	37	11	following	follow	VERB
iajs-799	37	12	ordinary	ordinary	ADJ
iajs-799	37	13	differential	differential	ADJ
iajs-799	37	14	equation	equation	NOUN
iajs-799	37	15	system	system	NOUN
iajs-799	37	16	.	.	PUNCT
iajs-799	38	1	1	1	NUM
iajs-799	38	2	1	1	NUM
iajs-799	38	3	1	1	NUM
iajs-799	38	4	2	2	NUM
iajs-799	38	5	2	2	NUM
iajs-799	38	6	2	2	NUM
iajs-799	38	7	3	3	NUM
iajs-799	38	8	1	1	NUM
iajs-799	38	9	1	1	NUM
iajs-799	38	10	2	2	NUM
iajs-799	38	11	1	1	NUM
iajs-799	38	12	1	1	NUM
iajs-799	38	13	2	2	NUM
iajs-799	38	14	1	1	NUM
iajs-799	38	15	3	3	NUM
iajs-799	38	16	2	2	NUM
iajs-799	38	17	1	1	NUM
iajs-799	38	18	2	2	NUM
iajs-799	38	19	2	2	NUM
iajs-799	38	20	2	2	NUM
iajs-799	38	21	1	1	NUM
iajs-799	38	22	g	g	NOUN
iajs-799	38	23	g	g	NOUN
iajs-799	38	24	g	g	NOUN
iajs-799	38	25	x	x	SYM
iajs-799	39	1	[	[	X
iajs-799	39	2	(	(	PUNCT
iajs-799	39	3	a	a	DET
iajs-799	39	4	2	2	NUM
iajs-799	39	5	)	)	PUNCT
iajs-799	39	6	x	x	SYM
iajs-799	39	7	2	2	NUM
iajs-799	39	8	x	x	SYM
iajs-799	39	9	2	2	NUM
iajs-799	39	10	x	x	SYM
iajs-799	39	11	x	x	X
iajs-799	39	12	ccos(wz	ccos(wz	PROPN
iajs-799	39	13	)	)	PUNCT
iajs-799	39	14	]	]	PUNCT
iajs-799	39	15	/	/	SYM
iajs-799	39	16	b	b	X
iajs-799	39	17	1	1	NUM
iajs-799	39	18	1	1	NUM
iajs-799	39	19	1	1	NUM
iajs-799	39	20	g	g	NOUN
iajs-799	39	21	g	g	PROPN
iajs-799	39	22	y	y	PROPN
iajs-799	39	23	2	2	NUM
iajs-799	39	24	x	x	SYM
iajs-799	39	25	2	2	NUM
iajs-799	39	26	x	x	SYM
iajs-799	39	27	1	1	NUM
iajs-799	39	28	1	1	NUM
iajs-799	39	29	z	z	NOUN
iajs-799	39	30	1	1	NUM
iajs-799	39	31	g	g	NOUN
iajs-799	39	32	g	g	NOUN
iajs-799	39	33	x	x	SYM
iajs-799	40	1	[	[	X
iajs-799	40	2	(	(	PUNCT
iajs-799	40	3	a	a	DET
iajs-799	40	4	2	2	NUM
iajs-799	40	5	)	)	PUNCT
iajs-799	40	6	x	x	SYM
iajs-799	40	7	x	x	PUNCT
iajs-799	40	8	x	x	SYM
iajs-799	40	9	ccos(wz	ccos(wz	PROPN
iajs-799	40	10	)	)	PUNCT
iajs-799	40	11	]	]	PUNCT
iajs-799	41	1	/	/	SYM
iajs-799	41	2	b	b	X
iajs-799	41	3	1	1	NUM
iajs-799	41	4	1	1	NUM
iajs-799	41	5	g	g	NOUN
iajs-799	41	6	g	g	PROPN
iajs-799	41	7	y	y	PROPN
iajs-799	41	8	2	2	NUM
iajs-799	41	9	x	x	SYM
iajs-799	41	10	x	x	SYM
iajs-799	41	11	1	1	NUM
iajs-799	41	12	1	1	NUM
iajs-799	41	13	z	z	NOUN
iajs-799	41	14	1	1	NUM
iajs-799	41	15			NOUN
iajs-799	41	16			PUNCT
iajs-799	41	17			PROPN
iajs-799	41	18			PROPN
iajs-799	41	19			PROPN
iajs-799	41	20			PART
iajs-799	41	21			PROPN
iajs-799	41	22			PROPN
iajs-799	41	23			PROPN
iajs-799	41	24			PROPN
iajs-799	41	25			PUNCT
iajs-799	41	26			PROPN
iajs-799	41	27			PROPN
iajs-799	41	28			PART
iajs-799	41	29			PROPN
iajs-799	41	30			PROPN
iajs-799	41	31			ADP
iajs-799	41	32			PROPN
iajs-799	41	33	�	�	PROPN
iajs-799	41	34	�	�	PROPN
iajs-799	41	35	�	�	PROPN
iajs-799	41	36	�	�	PROPN
iajs-799	41	37	�	�	PROPN
iajs-799	41	38	�	�	PROPN
iajs-799	41	39	…	…	PUNCT
iajs-799	41	40	(	(	PUNCT
iajs-799	41	41	4	4	NUM
iajs-799	41	42	)	)	PUNCT
iajs-799	41	43	with	with	ADP
iajs-799	41	44	boundary	boundary	ADJ
iajs-799	41	45	conditions	condition	NOUN
iajs-799	41	46	:	:	PUNCT
iajs-799	41	47	x1(0	x1(0	PROPN
iajs-799	41	48	)	)	PUNCT
iajs-799	42	1	=	=	SYM
iajs-799	42	2	0	0	NUM
iajs-799	42	3	,	,	PUNCT
iajs-799	42	4	x2(0	x2(0	PROPN
iajs-799	42	5	)	)	PUNCT
iajs-799	42	6	=	=	SYM
iajs-799	42	7	0	0	NUM
iajs-799	42	8	y1(0	y1(0	PROPN
iajs-799	42	9	)	)	PUNCT
iajs-799	42	10	=	=	SYM
iajs-799	42	11	1	1	NUM
iajs-799	42	12	,	,	PUNCT
iajs-799	42	13	y2(0	y2(0	PROPN
iajs-799	42	14	)	)	PUNCT
iajs-799	42	15	=	=	PROPN
iajs-799	42	16	1	1	NUM
iajs-799	42	17	z1(0	z1(0	NOUN
iajs-799	42	18	)	)	PUNCT
iajs-799	43	1	=	=	SYM
iajs-799	43	2	0	0	NUM
iajs-799	43	3	,	,	PUNCT
iajs-799	43	4	z2(0	z2(0	NOUN
iajs-799	43	5	)	)	PUNCT
iajs-799	43	6	=	=	SYM
iajs-799	43	7	0	0	X
iajs-799	43	8	.	.	PUNCT
iajs-799	43	9	graphical	graphical	ADJ
iajs-799	43	10	results	result	NOUN
iajs-799	43	11	the	the	DET
iajs-799	43	12	results	result	NOUN
iajs-799	43	13	come	come	VERB
iajs-799	43	14	out	out	ADP
iajs-799	43	15	by	by	ADP
iajs-799	43	16	examining	examine	VERB
iajs-799	43	17	the	the	DET
iajs-799	43	18	successive	successive	ADJ
iajs-799	43	19	iterates	iterate	NOUN
iajs-799	43	20	of	of	ADP
iajs-799	43	21	pioncare	pioncare	NOUN
iajs-799	43	22	map	map	NOUN
iajs-799	43	23	for	for	ADP
iajs-799	43	24	(	(	PUNCT
iajs-799	43	25	4	4	NUM
iajs-799	43	26	)	)	PUNCT
iajs-799	43	27	which	which	PRON
iajs-799	43	28	treat	treat	VERB
iajs-799	43	29	both	both	PRON
iajs-799	43	30	of	of	ADP
iajs-799	43	31	1	1	NUM
iajs-799	43	32	2x	2x	NUM
iajs-799	43	33	f	f	X
iajs-799	43	34	(	(	PUNCT
iajs-799	43	35	x	x	INTJ
iajs-799	43	36	,	,	PUNCT
iajs-799	43	37	x	x	INTJ
iajs-799	43	38	,	,	PUNCT
iajs-799	43	39	t)	t)	PROPN
iajs-799	43	40	�	�	PROPN
iajs-799	43	41	�	�	PROPN
iajs-799	43	42	and	and	CCONJ
iajs-799	44	1	1	1	NUM
iajs-799	44	2	2y	2y	NUM
iajs-799	44	3	f	f	NOUN
iajs-799	44	4	(	(	PUNCT
iajs-799	44	5	x	x	X
iajs-799	44	6	,	,	PUNCT
iajs-799	44	7	x	x	SYM
iajs-799	44	8	)	)	PUNCT
iajs-799	44	9			PROPN
iajs-799	44	10	�	�	PROPN
iajs-799	44	11	�	�	PROPN
iajs-799	44	12	.	.	PUNCT
iajs-799	45	1	using	use	VERB
iajs-799	45	2	the	the	DET
iajs-799	45	3	track	track	NOUN
iajs-799	45	4	hold	hold	VERB
iajs-799	45	5	device	device	NOUN
iajs-799	45	6	the	the	DET
iajs-799	45	7	computer	computer	NOUN
iajs-799	45	8	record	record	VERB
iajs-799	45	9	the	the	DET
iajs-799	45	10	values	value	NOUN
iajs-799	45	11	of	of	ADP
iajs-799	45	12	(	(	PUNCT
iajs-799	45	13	x2,y2	x2,y2	PROPN
iajs-799	45	14	)	)	PUNCT
iajs-799	45	15	represent	represent	VERB
iajs-799	45	16	the	the	DET
iajs-799	45	17	chaotic	chaotic	ADJ
iajs-799	45	18	motion	motion	NOUN
iajs-799	45	19	of	of	ADP
iajs-799	45	20	second	second	ADJ
iajs-799	45	21	one	one	NUM
iajs-799	45	22	,	,	PUNCT
iajs-799	45	23	therefore	therefore	ADV
iajs-799	45	24	the	the	DET
iajs-799	45	25	next	next	ADJ
iajs-799	45	26	phaseplane	phaseplane	NOUN
iajs-799	45	27	plots	plot	NOUN
iajs-799	45	28	show	show	VERB
iajs-799	45	29	double	double	ADJ
iajs-799	45	30	chaos	chaos	NOUN
iajs-799	45	31	for	for	ADP
iajs-799	45	32	eight	eight	NUM
iajs-799	45	33	different	different	ADJ
iajs-799	45	34	cases	case	NOUN
iajs-799	45	35	.	.	PUNCT
iajs-799	46	1	in	in	ADP
iajs-799	46	2	table	table	NOUN
iajs-799	46	3	(	(	PUNCT
iajs-799	46	4	1	1	X
iajs-799	46	5	)	)	PUNCT
iajs-799	46	6	each	each	DET
iajs-799	46	7	line	line	NOUN
iajs-799	46	8	shows	show	VERB
iajs-799	46	9	a	a	DET
iajs-799	46	10	chaotic	chaotic	ADJ
iajs-799	46	11	case	case	NOUN
iajs-799	46	12	defer	defer	NOUN
iajs-799	46	13	from	from	ADP
iajs-799	46	14	one	one	NUM
iajs-799	46	15	to	to	ADP
iajs-799	46	16	another	another	PRON
iajs-799	46	17	depending	depend	VERB
iajs-799	46	18	on	on	ADP
iajs-799	46	19	the	the	DET
iajs-799	46	20	value	value	NOUN
iajs-799	46	21	of	of	ADP
iajs-799	46	22	i	i	PRON
iajs-799	46	23	,	,	PUNCT
iajs-799	46	24	a	a	PRON
iajs-799	46	25	and	and	CCONJ
iajs-799	46	26	b	b	NOUN
iajs-799	46	27	,	,	PUNCT
iajs-799	46	28	in	in	ADP
iajs-799	46	29	order	order	NOUN
iajs-799	46	30	to	to	PART
iajs-799	46	31	distinguish	distinguish	VERB
iajs-799	46	32	between	between	ADP
iajs-799	46	33	the	the	DET
iajs-799	46	34	phase	phase	NOUN
iajs-799	46	35	plan	plan	NOUN
iajs-799	46	36	plotes	plote	NOUN
iajs-799	46	37	of	of	ADP
iajs-799	46	38	the	the	DET
iajs-799	46	39	points	point	NOUN
iajs-799	46	40	(	(	PUNCT
iajs-799	46	41	x1,y1	x1,y1	NOUN
iajs-799	46	42	)	)	PUNCT
iajs-799	46	43	as	as	ADP
iajs-799	46	44	a	a	DET
iajs-799	46	45	solution	solution	NOUN
iajs-799	46	46	values	value	NOUN
iajs-799	46	47	of	of	ADP
iajs-799	46	48	the	the	DET
iajs-799	46	49	second	second	ADJ
iajs-799	46	50	pendulum	pendulum	NOUN
iajs-799	46	51	which	which	PRON
iajs-799	46	52	appear	appear	VERB
iajs-799	46	53	as	as	ADP
iajs-799	46	54	a	a	DET
iajs-799	46	55	solid	solid	ADJ
iajs-799	46	56	line	line	NOUN
iajs-799	46	57	and	and	CCONJ
iajs-799	46	58	the	the	DET
iajs-799	46	59	values	value	NOUN
iajs-799	46	60	of	of	ADP
iajs-799	46	61	the	the	DET
iajs-799	46	62	first	first	ADJ
iajs-799	46	63	one	one	NUM
iajs-799	46	64	for	for	ADP
iajs-799	46	65	(	(	PUNCT
iajs-799	46	66	x2,y2	x2,y2	PROPN
iajs-799	46	67	)	)	PUNCT
iajs-799	46	68	which	which	PRON
iajs-799	46	69	appear	appear	VERB
iajs-799	46	70	as	as	ADP
iajs-799	46	71	a	a	DET
iajs-799	46	72	dotted	dotted	ADJ
iajs-799	46	73	line	line	NOUN
iajs-799	46	74	.	.	PUNCT
iajs-799	47	1	references	reference	NOUN
iajs-799	47	2	1	1	NUM
iajs-799	47	3	.	.	PUNCT
iajs-799	48	1	al	al	PROPN
iajs-799	48	2	-	-	PUNCT
iajs-799	48	3	karagolly	karagolly	PROPN
iajs-799	48	4	,	,	PUNCT
iajs-799	48	5	s.n	s.n	PROPN
iajs-799	48	6	.	.	PROPN
iajs-799	48	7	(	(	PUNCT
iajs-799	48	8	1997	1997	NUM
iajs-799	48	9	)	)	PUNCT
iajs-799	48	10	,	,	PUNCT
iajs-799	48	11	some	some	DET
iajs-799	48	12	applications	application	NOUN
iajs-799	48	13	of	of	ADP
iajs-799	48	14	dynamical	dynamical	ADJ
iajs-799	48	15	system	system	NOUN
iajs-799	48	16	-	-	PUNCT
iajs-799	48	17	chaotic	chaotic	ADJ
iajs-799	48	18	behavoir	behavoir	NOUN
iajs-799	48	19	of	of	ADP
iajs-799	48	20	duffing	duffing	NOUN
iajs-799	48	21	's	's	PART
iajs-799	48	22	equation	equation	NOUN
iajs-799	48	23	with	with	ADP
iajs-799	48	24	moving	move	VERB
iajs-799	48	25	boundary	boundary	NOUN
iajs-799	48	26	,	,	PUNCT
iajs-799	48	27	m.sc	m.sc	PROPN
iajs-799	48	28	.	.	PUNCT
iajs-799	49	1	thesis	thesis	NOUN
iajs-799	49	2	,	,	PUNCT
iajs-799	49	3	baghdada	baghdada	PROPN
iajs-799	49	4	university	university	NOUN
iajs-799	49	5	.	.	PUNCT
iajs-799	50	1	2	2	NUM
iajs-799	50	2	.	.	X
iajs-799	50	3	gulik	gulik	PROPN
iajs-799	50	4	,	,	PUNCT
iajs-799	50	5	d.(2007	d.(2007	PROPN
iajs-799	50	6	)	)	PUNCT
iajs-799	50	7	,	,	PUNCT
iajs-799	50	8	encounters	encounter	VERB
iajs-799	50	9	with	with	ADP
iajs-799	50	10	chaos	chaos	NOUN
iajs-799	50	11	2nd	2nd	ADJ
iajs-799	50	12	addition	addition	NOUN
iajs-799	50	13	,	,	PUNCT
iajs-799	50	14	mcgra	mcgra	NOUN
iajs-799	50	15	-	-	PUNCT
iajs-799	50	16	hill	hill	PROPN
iajs-799	50	17	,	,	PUNCT
iajs-799	50	18	inc	inc	PROPN
iajs-799	50	19	.	.	PROPN
iajs-799	50	20	,	,	PUNCT
iajs-799	50	21	new	new	PROPN
iajs-799	50	22	york	york	PROPN
iajs-799	50	23	,	,	PUNCT
iajs-799	50	24	84	84	NUM
iajs-799	50	25	-	-	SYM
iajs-799	50	26	91	91	NUM
iajs-799	50	27	3	3	NUM
iajs-799	50	28	.	.	PUNCT
iajs-799	51	1	ku	ku	PROPN
iajs-799	51	2	,	,	PUNCT
iajs-799	51	3	y.h	y.h	PROPN
iajs-799	51	4	.	.	PROPN
iajs-799	51	5	and	and	CCONJ
iajs-799	51	6	sun	sun	PROPN
iajs-799	51	7	,	,	PUNCT
iajs-799	51	8	x.	x.	NOUN
iajs-799	51	9	(	(	PUNCT
iajs-799	51	10	1990	1990	NUM
iajs-799	51	11	)	)	PUNCT
iajs-799	51	12	,	,	PUNCT
iajs-799	51	13	chaos	chaos	NOUN
iajs-799	51	14	and	and	CCONJ
iajs-799	51	15	limit	limit	VERB
iajs-799	51	16	cycle	cycle	NOUN
iajs-799	51	17	in	in	ADP
iajs-799	51	18	duffing	duffing	NOUN
iajs-799	51	19	's	's	PART
iajs-799	51	20	equation	equation	NOUN
iajs-799	51	21	,	,	PUNCT
iajs-799	51	22	journal	journal	NOUN
iajs-799	51	23	of	of	ADP
iajs-799	51	24	the	the	DET
iajs-799	51	25	franklin	franklin	PROPN
iajs-799	51	26	institute	institute	PROPN
iajs-799	51	27	,	,	PUNCT
iajs-799	51	28	pergamon	pergamon	PROPN
iajs-799	51	29	press	press	PROPN
iajs-799	51	30	inc	inc	PROPN
iajs-799	51	31	.	.	PROPN
iajs-799	51	32	,	,	PUNCT
iajs-799	51	33	327	327	NUM
iajs-799	51	34	(	(	PUNCT
iajs-799	51	35	3	3	NUM
iajs-799	51	36	)	)	PUNCT
iajs-799	51	37	,	,	PUNCT
iajs-799	51	38	165	165	NUM
iajs-799	51	39	-	-	SYM
iajs-799	51	40	195	195	NUM
iajs-799	51	41	.	.	NOUN
iajs-799	51	42	4	4	NUM
iajs-799	51	43	.	.	X
iajs-799	51	44	holmes	holme	NOUN
iajs-799	51	45	,	,	PUNCT
iajs-799	51	46	p.	p.	NOUN
iajs-799	51	47	(	(	PUNCT
iajs-799	51	48	1979	1979	NUM
iajs-799	51	49	)	)	PUNCT
iajs-799	51	50	,	,	PUNCT
iajs-799	51	51	a	a	DET
iajs-799	51	52	non	non	ADJ
iajs-799	51	53	-	-	ADJ
iajs-799	51	54	linear	linear	ADJ
iajs-799	51	55	oscillator	oscillator	NOUN
iajs-799	51	56	with	with	ADP
iajs-799	51	57	a	a	DET
iajs-799	51	58	strange	strange	ADJ
iajs-799	51	59	attractor	attractor	NOUN
iajs-799	51	60	,	,	PUNCT
iajs-799	51	61	phil	phil	NOUN
iajs-799	51	62	,	,	PUNCT
iajs-799	51	63	trans.r.soc.a	trans.r.soc.a	NOUN
iajs-799	51	64	.	.	PROPN
iajs-799	51	65	292	292	NUM
iajs-799	51	66	,	,	PUNCT
iajs-799	51	67	419	419	NUM
iajs-799	51	68	-	-	SYM
iajs-799	51	69	448	448	NUM
iajs-799	51	70	.	.	PUNCT
iajs-799	52	1	5	5	NUM
iajs-799	52	2	.	.	X
iajs-799	52	3	ott	ott	PROPN
iajs-799	52	4	,	,	PUNCT
iajs-799	52	5	e.	e.	PROPN
iajs-799	52	6	(	(	PUNCT
iajs-799	52	7	2002	2002	NUM
iajs-799	52	8	)	)	PUNCT
iajs-799	52	9	,	,	PUNCT
iajs-799	52	10	chaos	chaos	NOUN
iajs-799	52	11	in	in	ADP
iajs-799	52	12	dynamical	dynamical	ADJ
iajs-799	52	13	systems	system	NOUN
iajs-799	52	14	(	(	PUNCT
iajs-799	52	15	2	2	NUM
iajs-799	52	16	nd	nd	NUM
iajs-799	52	17	edition	edition	NOUN
iajs-799	52	18	)	)	PUNCT
iajs-799	52	19	,	,	PUNCT
iajs-799	52	20	cambridge	cambridge	PROPN
iajs-799	52	21	university	university	PROPN
iajs-799	52	22	press	press	NOUN
iajs-799	52	23	.	.	PUNCT
iajs-799	53	1	ibn	ibn	PROPN
iajs-799	53	2	alhaitham	alhaitham	PROPN
iajs-799	53	3	j.	j.	PROPN
iajs-799	53	4	for	for	ADP
iajs-799	53	5	pure	pure	ADJ
iajs-799	53	6	&	&	CCONJ
iajs-799	53	7	appl	appl	PROPN
iajs-799	53	8	.	.	PUNCT
iajs-799	54	1	sci	sci	PROPN
iajs-799	54	2	.	.	PUNCT
iajs-799	54	3	vol.24	vol.24	NOUN
iajs-799	54	4	(	(	PUNCT
iajs-799	54	5	1	1	NUM
iajs-799	54	6	)	)	PUNCT
iajs-799	54	7	2011	2011	NUM
iajs-799	54	8	table	table	NOUN
iajs-799	54	9	(	(	PUNCT
iajs-799	54	10	1	1	NUM
iajs-799	54	11	)	)	PUNCT
iajs-799	54	12	parameters	parameter	NOUN
iajs-799	54	13	of	of	ADP
iajs-799	54	14	chaotic	chaotic	ADJ
iajs-799	54	15	behavior	behavior	NOUN
iajs-799	54	16	cases	case	NOUN
iajs-799	54	17	for	for	ADP
iajs-799	54	18	equation	equation	NOUN
iajs-799	54	19	(	(	PUNCT
iajs-799	54	20	4	4	X
iajs-799	54	21	)	)	PUNCT
iajs-799	54	22	i	i	PRON
iajs-799	54	23	a	a	PRON
iajs-799	55	1	b	b	X
iajs-799	55	2	c	c	NOUN
iajs-799	55	3	d	d	SYM
iajs-799	55	4	20	20	NUM
iajs-799	55	5	10	10	NUM
iajs-799	55	6	1	1	NUM
iajs-799	55	7	0.3	0.3	NUM
iajs-799	55	8	1	1	NUM
iajs-799	55	9	20	20	NUM
iajs-799	55	10	1	1	NUM
iajs-799	55	11	1	1	NUM
iajs-799	55	12	0.3	0.3	NUM
iajs-799	55	13	1	1	NUM
iajs-799	55	14	20	20	NUM
iajs-799	55	15	10	10	NUM
iajs-799	55	16	10	10	NUM
iajs-799	55	17	0.3	0.3	NUM
iajs-799	55	18	1	1	NUM
iajs-799	55	19	20	20	NUM
iajs-799	55	20	1	1	NUM
iajs-799	55	21	10	10	NUM
iajs-799	55	22	0.3	0.3	NUM
iajs-799	55	23	1	1	NUM
iajs-799	55	24	20	20	NUM
iajs-799	55	25	1	1	NUM
iajs-799	55	26	25	25	NUM
iajs-799	55	27	0.3	0.3	NUM
iajs-799	55	28	1	1	NUM
iajs-799	55	29	5	5	NUM
iajs-799	55	30	10	10	NUM
iajs-799	55	31	10	10	NUM
iajs-799	55	32	0.3	0.3	NUM
iajs-799	55	33	1	1	NUM
iajs-799	55	34	5	5	NUM
iajs-799	55	35	2	2	NUM
iajs-799	55	36	10	10	NUM
iajs-799	55	37	0.3	0.3	NUM
iajs-799	55	38	1	1	NUM
iajs-799	55	39	5	5	NUM
iajs-799	55	40	3	3	NUM
iajs-799	55	41	4	4	NUM
iajs-799	55	42	0.3	0.3	NUM
iajs-799	55	43	1	1	NUM
iajs-799	55	44	fig	fig	NOUN
iajs-799	55	45	.	.	PUNCT
iajs-799	56	1	(	(	PUNCT
iajs-799	56	2	1	1	X
iajs-799	56	3	)	)	PUNCT
iajs-799	56	4	chaotic	chaotic	ADJ
iajs-799	56	5	case	case	NOUN
iajs-799	56	6	1	1	NUM
iajs-799	56	7	for	for	ADP
iajs-799	56	8	a	a	DET
iajs-799	56	9	=	=	SYM
iajs-799	56	10	10	10	NUM
iajs-799	56	11	,	,	PUNCT
iajs-799	56	12	b	b	NOUN
iajs-799	56	13	=	=	SYM
iajs-799	56	14	1	1	NUM
iajs-799	56	15	,	,	PUNCT
iajs-799	56	16	c	c	NOUN
iajs-799	56	17	=	=	SYM
iajs-799	56	18	.3	.3	NUM
iajs-799	56	19	,	,	PUNCT
iajs-799	56	20	d	d	NOUN
iajs-799	56	21	=	=	SYM
iajs-799	56	22	1	1	NUM
iajs-799	56	23	,	,	PUNCT
iajs-799	56	24	ℓ	ℓ	NOUN
iajs-799	56	25	=	=	PUNCT
iajs-799	56	26	20	20	NUM
iajs-799	56	27	x1	x1	PROPN
iajs-799	56	28	,	,	PUNCT
iajs-799	56	29	x2	x2	PROPN
iajs-799	56	30	y1	y1	PROPN
iajs-799	56	31	,	,	PUNCT
iajs-799	56	32	y2	y2	PROPN
iajs-799	56	33	y1	y1	PROPN
iajs-799	56	34	,	,	PUNCT
iajs-799	56	35	y2	y2	PROPN
iajs-799	56	36	x1	x1	PROPN
iajs-799	56	37	,	,	PUNCT
iajs-799	56	38	x2	x2	PROPN
iajs-799	56	39	fig	fig	NOUN
iajs-799	56	40	.	.	PUNCT
iajs-799	57	1	(	(	PUNCT
iajs-799	57	2	2	2	X
iajs-799	57	3	)	)	PUNCT
iajs-799	57	4	chaotic	chaotic	ADJ
iajs-799	57	5	case	case	NOUN
iajs-799	57	6	2	2	NUM
iajs-799	57	7	for	for	ADP
iajs-799	57	8	a	a	DET
iajs-799	57	9	=	=	SYM
iajs-799	57	10	1	1	NUM
iajs-799	57	11	,	,	PUNCT
iajs-799	57	12	b	b	NOUN
iajs-799	57	13	=	=	SYM
iajs-799	57	14	1	1	NUM
iajs-799	57	15	,	,	PUNCT
iajs-799	57	16	c	c	NOUN
iajs-799	57	17	=	=	SYM
iajs-799	57	18	.3	.3	NUM
iajs-799	57	19	,	,	PUNCT
iajs-799	57	20	d	d	NOUN
iajs-799	57	21	=	=	SYM
iajs-799	57	22	1	1	NUM
iajs-799	57	23	,	,	PUNCT
iajs-799	57	24	ℓ	ℓ	NOUN
iajs-799	57	25	=	=	SYM
iajs-799	57	26	20	20	NUM
iajs-799	57	27	ibn	ibn	PROPN
iajs-799	57	28	alhaitham	alhaitham	NOUN
iajs-799	57	29	j.	j.	PROPN
iajs-799	57	30	for	for	ADP
iajs-799	57	31	pure	pure	ADJ
iajs-799	57	32	&	&	CCONJ
iajs-799	57	33	appl	appl	PROPN
iajs-799	57	34	.	.	PUNCT
iajs-799	58	1	sci	sci	PROPN
iajs-799	58	2	.	.	PUNCT
iajs-799	58	3	vol.24	vol.24	NOUN
iajs-799	58	4	(	(	PUNCT
iajs-799	58	5	1	1	NUM
iajs-799	58	6	)	)	PUNCT
iajs-799	58	7	2011	2011	NUM
iajs-799	58	8	fig	fig	NOUN
iajs-799	58	9	.	.	PUNCT
iajs-799	59	1	(	(	PUNCT
iajs-799	59	2	3	3	X
iajs-799	59	3	)	)	PUNCT
iajs-799	59	4	chaotic	chaotic	ADJ
iajs-799	59	5	case	case	NOUN
iajs-799	59	6	3	3	NUM
iajs-799	59	7	for	for	ADP
iajs-799	59	8	a	a	DET
iajs-799	59	9	=	=	SYM
iajs-799	59	10	10	10	NUM
iajs-799	59	11	,	,	PUNCT
iajs-799	59	12	b	b	NOUN
iajs-799	59	13	=	=	SYM
iajs-799	59	14	10	10	NUM
iajs-799	59	15	,	,	PUNCT
iajs-799	59	16	c	c	NOUN
iajs-799	59	17	=	=	SYM
iajs-799	59	18	.3	.3	NUM
iajs-799	59	19	,	,	PUNCT
iajs-799	59	20	d	d	NOUN
iajs-799	59	21	=	=	SYM
iajs-799	59	22	1	1	NUM
iajs-799	59	23	,	,	PUNCT
iajs-799	59	24	ℓ	ℓ	NOUN
iajs-799	59	25	=	=	SYM
iajs-799	59	26	20	20	NUM
iajs-799	59	27	fig	fig	NOUN
iajs-799	59	28	.	.	PUNCT
iajs-799	60	1	(	(	PUNCT
iajs-799	60	2	4	4	X
iajs-799	60	3	)	)	PUNCT
iajs-799	60	4	chaotic	chaotic	ADJ
iajs-799	60	5	case	case	NOUN
iajs-799	60	6	4	4	NUM
iajs-799	60	7	for	for	ADP
iajs-799	60	8	a	a	DET
iajs-799	60	9	=	=	SYM
iajs-799	60	10	1	1	NUM
iajs-799	60	11	,	,	PUNCT
iajs-799	60	12	b	b	NOUN
iajs-799	60	13	=	=	SYM
iajs-799	60	14	10	10	NUM
iajs-799	60	15	,	,	PUNCT
iajs-799	60	16	c	c	NOUN
iajs-799	60	17	=	=	SYM
iajs-799	60	18	.3	.3	NUM
iajs-799	60	19	,	,	PUNCT
iajs-799	60	20	d	d	NOUN
iajs-799	60	21	=	=	SYM
iajs-799	60	22	1	1	NUM
iajs-799	60	23	,	,	PUNCT
iajs-799	60	24	ℓ	ℓ	NOUN
iajs-799	60	25	=	=	PUNCT
iajs-799	60	26	20	20	NUM
iajs-799	60	27	x1	x1	PROPN
iajs-799	60	28	,	,	PUNCT
iajs-799	60	29	x2	x2	PROPN
iajs-799	60	30	y1	y1	PROPN
iajs-799	60	31	,	,	PUNCT
iajs-799	60	32	y2	y2	PROPN
iajs-799	60	33	y1	y1	PROPN
iajs-799	60	34	,	,	PUNCT
iajs-799	60	35	y2	y2	PROPN
iajs-799	60	36	x1	x1	PROPN
iajs-799	60	37	,	,	PUNCT
iajs-799	60	38	x2	x2	PROPN
iajs-799	60	39	fig	fig	NOUN
iajs-799	60	40	(	(	PUNCT
iajs-799	60	41	5	5	NUM
iajs-799	60	42	)	)	PUNCT
iajs-799	60	43	chaotic	chaotic	ADJ
iajs-799	60	44	case	case	NOUN
iajs-799	60	45	5	5	NUM
iajs-799	60	46	for	for	ADP
iajs-799	60	47	a	a	DET
iajs-799	60	48	=	=	SYM
iajs-799	60	49	1	1	NUM
iajs-799	60	50	,	,	PUNCT
iajs-799	60	51	b	b	NOUN
iajs-799	60	52	=	=	SYM
iajs-799	60	53	25	25	NUM
iajs-799	60	54	,	,	PUNCT
iajs-799	60	55	c	c	NOUN
iajs-799	60	56	=	=	SYM
iajs-799	60	57	.3	.3	NUM
iajs-799	60	58	,	,	PUNCT
iajs-799	60	59	d	d	NOUN
iajs-799	60	60	=	=	SYM
iajs-799	60	61	1	1	NUM
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