id	sid	tid	token	lemma	pos
ap-1442	1	1	ap-5-11.dvi	ap-5-11.dvi	PROPN
ap-1442	1	2	acta	acta	PROPN
ap-1442	1	3	polytechnica	polytechnica	PROPN
ap-1442	1	4	vol	vol	NOUN
ap-1442	1	5	.	.	PUNCT
ap-1442	2	1	51	51	NUM
ap-1442	2	2	no	no	NOUN
ap-1442	2	3	.	.	PUNCT
ap-1442	3	1	5/2011	5/2011	NUM
ap-1442	3	2	chaos	chaos	NOUN
ap-1442	3	3	in	in	ADP
ap-1442	3	4	gdp	gdp	PROPN
ap-1442	3	5	r.	r.	PROPN
ap-1442	3	6	kř́ıž	kř́ıž	PROPN
ap-1442	3	7	abstract	abstract	ADV
ap-1442	3	8	this	this	DET
ap-1442	3	9	paper	paper	NOUN
ap-1442	3	10	presents	present	VERB
ap-1442	3	11	an	an	DET
ap-1442	3	12	analysis	analysis	NOUN
ap-1442	3	13	of	of	ADP
ap-1442	3	14	gdp	gdp	NOUN
ap-1442	3	15	and	and	CCONJ
ap-1442	3	16	finds	find	VERB
ap-1442	3	17	chaos	chaos	NOUN
ap-1442	3	18	in	in	ADP
ap-1442	3	19	gdp	gdp	NOUN
ap-1442	3	20	.	.	PUNCT
ap-1442	4	1	i	i	PRON
ap-1442	4	2	tried	try	VERB
ap-1442	4	3	to	to	PART
ap-1442	4	4	find	find	VERB
ap-1442	4	5	a	a	DET
ap-1442	4	6	nonlinear	nonlinear	ADJ
ap-1442	4	7	lower	lower	ADV
ap-1442	4	8	-	-	PUNCT
ap-1442	4	9	dimensional	dimensional	ADJ
ap-1442	4	10	discrete	discrete	ADJ
ap-1442	4	11	dynamic	dynamic	ADJ
ap-1442	4	12	macroeconomic	macroeconomic	ADJ
ap-1442	4	13	model	model	NOUN
ap-1442	4	14	that	that	PRON
ap-1442	4	15	would	would	AUX
ap-1442	4	16	characterize	characterize	VERB
ap-1442	4	17	gdp	gdp	NOUN
ap-1442	4	18	.	.	PUNCT
ap-1442	5	1	this	this	DET
ap-1442	5	2	model	model	NOUN
ap-1442	5	3	is	be	AUX
ap-1442	5	4	represented	represent	VERB
ap-1442	5	5	by	by	ADP
ap-1442	5	6	a	a	DET
ap-1442	5	7	set	set	NOUN
ap-1442	5	8	of	of	ADP
ap-1442	5	9	differential	differential	ADJ
ap-1442	5	10	equations	equation	NOUN
ap-1442	5	11	.	.	PUNCT
ap-1442	6	1	i	i	PRON
ap-1442	6	2	have	have	AUX
ap-1442	6	3	used	use	VERB
ap-1442	6	4	the	the	DET
ap-1442	6	5	mathematica	mathematica	PROPN
ap-1442	6	6	and	and	CCONJ
ap-1442	6	7	ms	ms	PROPN
ap-1442	6	8	excel	excel	NOUN
ap-1442	6	9	programs	program	NOUN
ap-1442	6	10	for	for	ADP
ap-1442	6	11	the	the	DET
ap-1442	6	12	analysis	analysis	NOUN
ap-1442	6	13	.	.	PUNCT
ap-1442	7	1	keywords	keyword	NOUN
ap-1442	7	2	:	:	PUNCT
ap-1442	7	3	macroeconomic	macroeconomic	ADJ
ap-1442	7	4	modeling	modeling	NOUN
ap-1442	7	5	,	,	PUNCT
ap-1442	7	6	gross	gross	ADJ
ap-1442	7	7	domestic	domestic	ADJ
ap-1442	7	8	product	product	NOUN
ap-1442	7	9	,	,	PUNCT
ap-1442	7	10	chaos	chaos	NOUN
ap-1442	7	11	theory	theory	NOUN
ap-1442	7	12	.	.	PUNCT
ap-1442	8	1	1	1	NUM
ap-1442	8	2	introduction	introduction	NOUN
ap-1442	8	3	humanity	humanity	NOUN
ap-1442	8	4	has	have	AUX
ap-1442	8	5	always	always	ADV
ap-1442	8	6	been	be	AUX
ap-1442	8	7	concerned	concern	VERB
ap-1442	8	8	with	with	ADP
ap-1442	8	9	the	the	DET
ap-1442	8	10	question	question	NOUN
ap-1442	8	11	whether	whether	SCONJ
ap-1442	8	12	the	the	DET
ap-1442	8	13	processes	process	NOUN
ap-1442	8	14	in	in	ADP
ap-1442	8	15	the	the	DET
ap-1442	8	16	real	real	ADJ
ap-1442	8	17	world	world	NOUN
ap-1442	8	18	are	be	AUX
ap-1442	8	19	of	of	ADP
ap-1442	8	20	a	a	DET
ap-1442	8	21	stochastic	stochastic	NOUN
ap-1442	8	22	or	or	CCONJ
ap-1442	8	23	deterministic	deterministic	ADJ
ap-1442	8	24	nature	nature	NOUN
ap-1442	8	25	.	.	PUNCT
ap-1442	9	1	answers	answer	NOUN
ap-1442	9	2	are	be	AUX
ap-1442	9	3	explored	explore	VERB
ap-1442	9	4	by	by	ADP
ap-1442	9	5	theologians	theologian	NOUN
ap-1442	9	6	,	,	PUNCT
ap-1442	9	7	philosophers	philosopher	NOUN
ap-1442	9	8	and	and	CCONJ
ap-1442	9	9	scientists	scientist	NOUN
ap-1442	9	10	in	in	ADP
ap-1442	9	11	various	various	ADJ
ap-1442	9	12	fields	field	NOUN
ap-1442	9	13	.	.	PUNCT
ap-1442	10	1	i	i	PRON
ap-1442	10	2	take	take	VERB
ap-1442	10	3	the	the	DET
ap-1442	10	4	view	view	NOUN
ap-1442	10	5	that	that	SCONJ
ap-1442	10	6	real	real	ADJ
ap-1442	10	7	processes	process	NOUN
ap-1442	10	8	are	be	AUX
ap-1442	10	9	more	more	ADV
ap-1442	10	10	deterministic	deterministic	ADJ
ap-1442	10	11	in	in	ADP
ap-1442	10	12	nature	nature	NOUN
ap-1442	10	13	.	.	PUNCT
ap-1442	11	1	an	an	DET
ap-1442	11	2	interesting	interesting	ADJ
ap-1442	11	3	case	case	NOUN
ap-1442	11	4	of	of	ADP
ap-1442	11	5	determinism	determinism	NOUN
ap-1442	11	6	is	be	AUX
ap-1442	11	7	deterministic	deterministic	ADJ
ap-1442	11	8	chaos	chaos	NOUN
ap-1442	11	9	.	.	PUNCT
ap-1442	12	1	the	the	DET
ap-1442	12	2	only	only	ADJ
ap-1442	12	3	purely	purely	ADV
ap-1442	12	4	stochastic	stochastic	ADJ
ap-1442	12	5	process	process	NOUN
ap-1442	12	6	is	be	AUX
ap-1442	12	7	a	a	DET
ap-1442	12	8	mathematical	mathematical	ADJ
ap-1442	12	9	model	model	NOUN
ap-1442	12	10	described	describe	VERB
ap-1442	12	11	by	by	ADP
ap-1442	12	12	mathematical	mathematical	ADJ
ap-1442	12	13	statistics	statistic	NOUN
ap-1442	12	14	.	.	PUNCT
ap-1442	13	1	the	the	DET
ap-1442	13	2	statistical	statistical	ADJ
ap-1442	13	3	model	model	NOUN
ap-1442	13	4	often	often	ADV
ap-1442	13	5	works	work	VERB
ap-1442	13	6	and	and	CCONJ
ap-1442	13	7	is	be	AUX
ap-1442	13	8	the	the	DET
ap-1442	13	9	only	only	ADJ
ap-1442	13	10	possible	possible	ADJ
ap-1442	13	11	description	description	NOUN
ap-1442	13	12	if	if	SCONJ
ap-1442	13	13	we	we	PRON
ap-1442	13	14	do	do	AUX
ap-1442	13	15	not	not	PART
ap-1442	13	16	know	know	VERB
ap-1442	13	17	the	the	DET
ap-1442	13	18	system	system	NOUN
ap-1442	13	19	.	.	PUNCT
ap-1442	14	1	this	this	PRON
ap-1442	14	2	also	also	ADV
ap-1442	14	3	applies	apply	VERB
ap-1442	14	4	to	to	ADP
ap-1442	14	5	economic	economic	ADJ
ap-1442	14	6	quantities	quantity	NOUN
ap-1442	14	7	,	,	PUNCT
ap-1442	14	8	including	include	VERB
ap-1442	14	9	forecasts	forecast	NOUN
ap-1442	14	10	for	for	ADP
ap-1442	14	11	gdp	gdp	NOUN
ap-1442	14	12	.	.	PUNCT
ap-1442	15	1	in	in	ADP
ap-1442	15	2	this	this	DET
ap-1442	15	3	paper	paper	NOUN
ap-1442	15	4	i	i	PRON
ap-1442	15	5	have	have	AUX
ap-1442	15	6	tried	try	VERB
ap-1442	15	7	to	to	PART
ap-1442	15	8	grasp	grasp	VERB
ap-1442	15	9	the	the	DET
ap-1442	15	10	hidden	hidden	ADJ
ap-1442	15	11	essence	essence	NOUN
ap-1442	15	12	of	of	ADP
ap-1442	15	13	the	the	DET
ap-1442	15	14	problem	problem	NOUN
ap-1442	15	15	in	in	ADP
ap-1442	15	16	order	order	NOUN
ap-1442	15	17	to	to	PART
ap-1442	15	18	formulate	formulate	VERB
ap-1442	15	19	a	a	DET
ap-1442	15	20	prediction	prediction	NOUN
ap-1442	15	21	more	more	ADV
ap-1442	15	22	easily	easily	ADV
ap-1442	15	23	.	.	PUNCT
ap-1442	16	1	the	the	DET
ap-1442	16	2	basic	basic	ADJ
ap-1442	16	3	question	question	NOUN
ap-1442	16	4	is	be	AUX
ap-1442	16	5	therefore	therefore	ADV
ap-1442	16	6	the	the	DET
ap-1442	16	7	existence	existence	NOUN
ap-1442	16	8	of	of	ADP
ap-1442	16	9	chaotic	chaotic	ADJ
ap-1442	16	10	behavior	behavior	NOUN
ap-1442	16	11	.	.	PUNCT
ap-1442	17	1	if	if	SCONJ
ap-1442	17	2	the	the	DET
ap-1442	17	3	system	system	NOUN
ap-1442	17	4	behaves	behave	VERB
ap-1442	17	5	chaotically	chaotically	ADV
ap-1442	17	6	,	,	PUNCT
ap-1442	17	7	we	we	PRON
ap-1442	17	8	are	be	AUX
ap-1442	17	9	forced	force	VERB
ap-1442	17	10	to	to	PART
ap-1442	17	11	accept	accept	VERB
ap-1442	17	12	only	only	ADJ
ap-1442	17	13	limited	limited	ADJ
ap-1442	17	14	predictions	prediction	NOUN
ap-1442	17	15	.	.	PUNCT
ap-1442	18	1	in	in	ADP
ap-1442	18	2	this	this	DET
ap-1442	18	3	paper	paper	NOUN
ap-1442	18	4	i	i	PRON
ap-1442	18	5	will	will	AUX
ap-1442	18	6	try	try	VERB
ap-1442	18	7	to	to	PART
ap-1442	18	8	show	show	VERB
ap-1442	18	9	the	the	DET
ap-1442	18	10	chaotic	chaotic	ADJ
ap-1442	18	11	behavior	behavior	NOUN
ap-1442	18	12	of	of	ADP
ap-1442	18	13	gdp	gdp	NOUN
ap-1442	18	14	and	and	CCONJ
ap-1442	18	15	then	then	ADV
ap-1442	18	16	propose	propose	VERB
ap-1442	18	17	a	a	DET
ap-1442	18	18	simple	simple	ADJ
ap-1442	18	19	lower	lower	ADV
ap-1442	18	20	-	-	PUNCT
ap-1442	18	21	dimensional	dimensional	ADJ
ap-1442	18	22	system	system	NOUN
ap-1442	18	23	under	under	ADP
ap-1442	18	24	which	which	PRON
ap-1442	18	25	the	the	DET
ap-1442	18	26	system	system	NOUN
ap-1442	18	27	evolves	evolve	VERB
ap-1442	18	28	.	.	PUNCT
ap-1442	19	1	2	2	NUM
ap-1442	19	2	methodology	methodology	NOUN
ap-1442	19	3	for	for	ADP
ap-1442	19	4	the	the	DET
ap-1442	19	5	analysis	analysis	NOUN
ap-1442	19	6	i	i	PRON
ap-1442	19	7	will	will	AUX
ap-1442	19	8	briefly	briefly	ADV
ap-1442	19	9	state	state	VERB
ap-1442	19	10	the	the	DET
ap-1442	19	11	basic	basic	ADJ
ap-1442	19	12	definitions	definition	NOUN
ap-1442	19	13	and	and	CCONJ
ap-1442	19	14	describe	describe	VERB
ap-1442	19	15	the	the	DET
ap-1442	19	16	basic	basic	ADJ
ap-1442	19	17	methods	method	NOUN
ap-1442	19	18	for	for	ADP
ap-1442	19	19	examining	examine	VERB
ap-1442	19	20	the	the	DET
ap-1442	19	21	input	input	NOUN
ap-1442	19	22	data	datum	NOUN
ap-1442	19	23	.	.	PUNCT
ap-1442	20	1	2.1	2.1	NUM
ap-1442	20	2	gross	gross	ADJ
ap-1442	20	3	domestic	domestic	ADJ
ap-1442	20	4	product	product	NOUN
ap-1442	20	5	gross	gross	ADJ
ap-1442	20	6	domestic	domestic	ADJ
ap-1442	20	7	product	product	NOUN
ap-1442	20	8	(	(	PUNCT
ap-1442	20	9	gdp	gdp	NOUN
ap-1442	20	10	)	)	PUNCT
ap-1442	20	11	is	be	AUX
ap-1442	20	12	a	a	DET
ap-1442	20	13	major	major	ADJ
ap-1442	20	14	macroeconomic	macroeconomic	ADJ
ap-1442	20	15	indicator	indicator	NOUN
ap-1442	20	16	.	.	PUNCT
ap-1442	21	1	it	it	PRON
ap-1442	21	2	measures	measure	VERB
ap-1442	21	3	the	the	DET
ap-1442	21	4	overall	overall	ADJ
ap-1442	21	5	production	production	NOUN
ap-1442	21	6	performance	performance	NOUN
ap-1442	21	7	of	of	ADP
ap-1442	21	8	the	the	DET
ap-1442	21	9	economy	economy	NOUN
ap-1442	21	10	.	.	PUNCT
ap-1442	22	1	it	it	PRON
ap-1442	22	2	is	be	AUX
ap-1442	22	3	the	the	DET
ap-1442	22	4	total	total	ADJ
ap-1442	22	5	market	market	NOUN
ap-1442	22	6	value	value	NOUN
ap-1442	22	7	of	of	ADP
ap-1442	22	8	all	all	DET
ap-1442	22	9	final	final	ADJ
ap-1442	22	10	goods	good	NOUN
ap-1442	22	11	and	and	CCONJ
ap-1442	22	12	services	service	NOUN
ap-1442	22	13	produced	produce	VERB
ap-1442	22	14	within	within	ADP
ap-1442	22	15	a	a	DET
ap-1442	22	16	country	country	NOUN
ap-1442	22	17	during	during	ADP
ap-1442	22	18	some	some	DET
ap-1442	22	19	period	period	NOUN
ap-1442	22	20	,	,	PUNCT
ap-1442	22	21	usually	usually	ADV
ap-1442	22	22	one	one	NUM
ap-1442	22	23	year	year	NOUN
ap-1442	22	24	,	,	PUNCT
ap-1442	22	25	expressed	express	VERB
ap-1442	22	26	in	in	ADP
ap-1442	22	27	monetary	monetary	ADJ
ap-1442	22	28	units	unit	NOUN
ap-1442	22	29	[	[	X
ap-1442	22	30	8	8	NUM
ap-1442	22	31	]	]	PUNCT
ap-1442	22	32	.	.	PUNCT
ap-1442	23	1	it	it	PRON
ap-1442	23	2	is	be	AUX
ap-1442	23	3	often	often	ADV
ap-1442	23	4	considered	consider	VERB
ap-1442	23	5	an	an	DET
ap-1442	23	6	indicator	indicator	NOUN
ap-1442	23	7	of	of	ADP
ap-1442	23	8	a	a	DET
ap-1442	23	9	country	country	NOUN
ap-1442	23	10	’s	’s	PART
ap-1442	23	11	standard	standard	NOUN
ap-1442	23	12	of	of	ADP
ap-1442	23	13	living	living	NOUN
ap-1442	23	14	.	.	PUNCT
ap-1442	24	1	gdp	gdp	NOUN
ap-1442	24	2	can	can	AUX
ap-1442	24	3	be	be	AUX
ap-1442	24	4	determined	determine	VERB
ap-1442	24	5	in	in	ADP
ap-1442	24	6	three	three	NUM
ap-1442	24	7	ways	way	NOUN
ap-1442	24	8	,	,	PUNCT
ap-1442	24	9	all	all	PRON
ap-1442	24	10	of	of	ADP
ap-1442	24	11	which	which	PRON
ap-1442	24	12	should	should	AUX
ap-1442	24	13	,	,	PUNCT
ap-1442	24	14	in	in	ADP
ap-1442	24	15	principle	principle	NOUN
ap-1442	24	16	,	,	PUNCT
ap-1442	24	17	give	give	VERB
ap-1442	24	18	the	the	DET
ap-1442	24	19	same	same	ADJ
ap-1442	24	20	result	result	NOUN
ap-1442	24	21	.	.	PUNCT
ap-1442	25	1	they	they	PRON
ap-1442	25	2	are	be	AUX
ap-1442	25	3	the	the	DET
ap-1442	25	4	product	product	NOUN
ap-1442	25	5	(	(	PUNCT
ap-1442	25	6	or	or	CCONJ
ap-1442	25	7	output	output	NOUN
ap-1442	25	8	)	)	PUNCT
ap-1442	25	9	approach	approach	NOUN
ap-1442	25	10	,	,	PUNCT
ap-1442	25	11	the	the	DET
ap-1442	25	12	income	income	NOUN
ap-1442	25	13	approach	approach	NOUN
ap-1442	25	14	,	,	PUNCT
ap-1442	25	15	and	and	CCONJ
ap-1442	25	16	the	the	DET
ap-1442	25	17	expenditure	expenditure	NOUN
ap-1442	25	18	approach	approach	NOUN
ap-1442	25	19	.	.	PUNCT
ap-1442	26	1	y	y	NOUN
ap-1442	26	2	=	=	PUNCT
ap-1442	27	1	c	c	PROPN
ap-1442	28	1	+	+	CCONJ
ap-1442	28	2	i	i	PRON
ap-1442	28	3	+	+	VERB
ap-1442	28	4	g+	g+	NOUN
ap-1442	28	5	(	(	PUNCT
ap-1442	28	6	x	x	NOUN
ap-1442	28	7	−	−	PROPN
ap-1442	28	8	m	m	PROPN
ap-1442	28	9	)	)	PUNCT
ap-1442	28	10	(	(	PUNCT
ap-1442	28	11	1	1	X
ap-1442	28	12	)	)	PUNCT
ap-1442	28	13	•	•	NUM
ap-1442	28	14	c	c	NOUN
ap-1442	28	15	(	(	PUNCT
ap-1442	28	16	consumption	consumption	NOUN
ap-1442	28	17	)	)	PUNCT
ap-1442	28	18	is	be	AUX
ap-1442	28	19	normally	normally	ADV
ap-1442	28	20	the	the	DET
ap-1442	28	21	largest	large	ADJ
ap-1442	28	22	gdp	gdp	NOUN
ap-1442	28	23	component	component	NOUN
ap-1442	28	24	in	in	ADP
ap-1442	28	25	the	the	DET
ap-1442	28	26	economy	economy	NOUN
ap-1442	28	27	,	,	PUNCT
ap-1442	28	28	consisting	consist	VERB
ap-1442	28	29	of	of	ADP
ap-1442	28	30	private	private	ADJ
ap-1442	28	31	(	(	PUNCT
ap-1442	28	32	household	household	NOUN
ap-1442	28	33	final	final	ADJ
ap-1442	28	34	consumption	consumption	NOUN
ap-1442	28	35	expenditure	expenditure	NOUN
ap-1442	28	36	)	)	PUNCT
ap-1442	28	37	in	in	ADP
ap-1442	28	38	the	the	DET
ap-1442	28	39	economy	economy	NOUN
ap-1442	28	40	.	.	PUNCT
ap-1442	29	1	•	•	INTJ
ap-1442	29	2	i	i	PRON
ap-1442	29	3	(	(	PUNCT
ap-1442	29	4	investment	investment	NOUN
ap-1442	29	5	)	)	PUNCT
ap-1442	29	6	includes	include	VERB
ap-1442	29	7	business	business	NOUN
ap-1442	29	8	investment	investment	NOUN
ap-1442	29	9	in	in	ADP
ap-1442	29	10	equipment	equipment	NOUN
ap-1442	29	11	,	,	PUNCT
ap-1442	29	12	for	for	ADP
ap-1442	29	13	example	example	NOUN
ap-1442	29	14	,	,	PUNCT
ap-1442	29	15	and	and	CCONJ
ap-1442	29	16	does	do	AUX
ap-1442	29	17	not	not	PART
ap-1442	29	18	include	include	VERB
ap-1442	29	19	exchanges	exchange	NOUN
ap-1442	29	20	of	of	ADP
ap-1442	29	21	existing	exist	VERB
ap-1442	29	22	assets	asset	NOUN
ap-1442	29	23	.	.	PUNCT
ap-1442	30	1	•	•	NUM
ap-1442	30	2	g	g	PROPN
ap-1442	30	3	(	(	PUNCT
ap-1442	30	4	government	government	NOUN
ap-1442	30	5	spending	spending	NOUN
ap-1442	30	6	)	)	PUNCT
ap-1442	30	7	is	be	AUX
ap-1442	30	8	the	the	DET
ap-1442	30	9	sum	sum	NOUN
ap-1442	30	10	of	of	ADP
ap-1442	30	11	government	government	NOUN
ap-1442	30	12	expenditures	expenditure	NOUN
ap-1442	30	13	on	on	ADP
ap-1442	30	14	final	final	ADJ
ap-1442	30	15	goods	good	NOUN
ap-1442	30	16	and	and	CCONJ
ap-1442	30	17	services	service	NOUN
ap-1442	30	18	.	.	PUNCT
ap-1442	31	1	•	•	NUM
ap-1442	31	2	x	x	SYM
ap-1442	31	3	−m	−m	NOUN
ap-1442	31	4	(	(	PUNCT
ap-1442	31	5	net	net	ADJ
ap-1442	31	6	exports	export	NOUN
ap-1442	31	7	)	)	PUNCT
ap-1442	31	8	represents	represent	VERB
ap-1442	31	9	gross	gross	ADJ
ap-1442	31	10	exports	export	NOUN
ap-1442	31	11	x	x	INTJ
ap-1442	31	12	—	—	PUNCT
ap-1442	31	13	gross	gross	ADJ
ap-1442	31	14	imports	import	NOUN
ap-1442	31	15	.	.	PUNCT
ap-1442	32	1	2.2	2.2	NUM
ap-1442	32	2	hurst	hurst	PROPN
ap-1442	32	3	exponent	exponent	NOUN
ap-1442	32	4	the	the	DET
ap-1442	32	5	hurst	hurst	PROPN
ap-1442	32	6	exponent	exponent	NOUN
ap-1442	32	7	is	be	AUX
ap-1442	32	8	widely	widely	ADV
ap-1442	32	9	used	use	VERB
ap-1442	32	10	to	to	PART
ap-1442	32	11	characterize	characterize	VERB
ap-1442	32	12	some	some	DET
ap-1442	32	13	processes	process	NOUN
ap-1442	32	14	.	.	PUNCT
ap-1442	33	1	the	the	DET
ap-1442	33	2	hurst	hurst	PROPN
ap-1442	33	3	exponent	exponent	NOUN
ap-1442	33	4	is	be	AUX
ap-1442	33	5	a	a	DET
ap-1442	33	6	measure	measure	NOUN
ap-1442	33	7	that	that	PRON
ap-1442	33	8	has	have	AUX
ap-1442	33	9	been	be	AUX
ap-1442	33	10	widely	widely	ADV
ap-1442	33	11	used	use	VERB
ap-1442	33	12	to	to	PART
ap-1442	33	13	evaluate	evaluate	VERB
ap-1442	33	14	the	the	DET
ap-1442	33	15	selfsimilarity	selfsimilarity	NOUN
ap-1442	33	16	and	and	CCONJ
ap-1442	33	17	correlation	correlation	NOUN
ap-1442	33	18	properties	property	NOUN
ap-1442	33	19	of	of	ADP
ap-1442	33	20	fractional	fractional	ADJ
ap-1442	33	21	brownian	brownian	ADJ
ap-1442	33	22	noise	noise	NOUN
ap-1442	33	23	,	,	PUNCT
ap-1442	33	24	the	the	DET
ap-1442	33	25	time	time	NOUN
ap-1442	33	26	-	-	PUNCT
ap-1442	33	27	series	series	NOUN
ap-1442	33	28	produced	produce	VERB
ap-1442	33	29	by	by	ADP
ap-1442	33	30	a	a	DET
ap-1442	33	31	fractional	fractional	ADJ
ap-1442	33	32	(	(	PUNCT
ap-1442	33	33	fractal	fractal	ADJ
ap-1442	33	34	)	)	PUNCT
ap-1442	33	35	gaussian	gaussian	ADJ
ap-1442	33	36	process	process	NOUN
ap-1442	33	37	.	.	PUNCT
ap-1442	34	1	as	as	ADV
ap-1442	34	2	originally	originally	ADV
ap-1442	34	3	defined	define	VERB
ap-1442	34	4	by	by	ADP
ap-1442	34	5	mandelbrot	mandelbrot	NOUN
ap-1442	34	6	[	[	X
ap-1442	34	7	5	5	NUM
ap-1442	34	8	]	]	PUNCT
ap-1442	34	9	,	,	PUNCT
ap-1442	34	10	the	the	DET
ap-1442	34	11	hurst	hurst	PROPN
ap-1442	34	12	exponent	exponent	PROPN
ap-1442	34	13	h	h	PROPN
ap-1442	34	14	describes	describe	VERB
ap-1442	34	15	(	(	PUNCT
ap-1442	34	16	among	among	ADP
ap-1442	34	17	other	other	ADJ
ap-1442	34	18	things	thing	NOUN
ap-1442	34	19	)	)	PUNCT
ap-1442	34	20	the	the	DET
ap-1442	34	21	scaling	scaling	NOUN
ap-1442	34	22	of	of	ADP
ap-1442	34	23	the	the	DET
ap-1442	34	24	variance	variance	NOUN
ap-1442	34	25	of	of	ADP
ap-1442	34	26	a	a	DET
ap-1442	34	27	stochastic	stochastic	ADJ
ap-1442	34	28	process	process	NOUN
ap-1442	34	29	y(t	y(t	PROPN
ap-1442	34	30	)	)	PUNCT
ap-1442	34	31	,	,	PUNCT
ap-1442	34	32	σ2	σ2	PROPN
ap-1442	34	33	=	=	SYM
ap-1442	34	34	∫	∫	PROPN
ap-1442	35	1	+	+	NUM
ap-1442	35	2	∞	∞	PROPN
ap-1442	35	3	−∞	−∞	ADP
ap-1442	35	4	y2f(y	y2f(y	PROPN
ap-1442	35	5	,	,	PUNCT
ap-1442	35	6	t	t	PROPN
ap-1442	35	7	)	)	PUNCT
ap-1442	35	8	dy	dy	NOUN
ap-1442	35	9	=	=	NOUN
ap-1442	35	10	ct2h	ct2h	NOUN
ap-1442	35	11	(	(	PUNCT
ap-1442	35	12	2	2	NUM
ap-1442	35	13	)	)	PUNCT
ap-1442	35	14	where	where	SCONJ
ap-1442	35	15	c	c	NOUN
ap-1442	35	16	is	be	AUX
ap-1442	35	17	constant	constant	ADJ
ap-1442	35	18	.	.	PUNCT
ap-1442	36	1	the	the	DET
ap-1442	36	2	hurst	hurst	PROPN
ap-1442	36	3	exponent	exponent	NOUN
ap-1442	36	4	is	be	AUX
ap-1442	36	5	used	use	VERB
ap-1442	36	6	to	to	PART
ap-1442	36	7	evaluate	evaluate	VERB
ap-1442	36	8	the	the	DET
ap-1442	36	9	presence	presence	NOUN
ap-1442	36	10	or	or	CCONJ
ap-1442	36	11	absence	absence	NOUN
ap-1442	36	12	of	of	ADP
ap-1442	36	13	long	long	ADJ
ap-1442	36	14	-	-	PUNCT
ap-1442	36	15	range	range	NOUN
ap-1442	36	16	dependence	dependence	NOUN
ap-1442	36	17	and	and	CCONJ
ap-1442	36	18	its	its	PRON
ap-1442	36	19	degree	degree	NOUN
ap-1442	36	20	in	in	ADP
ap-1442	36	21	a	a	DET
ap-1442	36	22	time	time	NOUN
ap-1442	36	23	-	-	PUNCT
ap-1442	36	24	series	series	NOUN
ap-1442	36	25	.	.	PUNCT
ap-1442	37	1	the	the	DET
ap-1442	37	2	hurst	hurst	PROPN
ap-1442	37	3	exponent	exponent	NOUN
ap-1442	37	4	(	(	PUNCT
ap-1442	37	5	h	h	NOUN
ap-1442	37	6	)	)	PUNCT
ap-1442	37	7	is	be	AUX
ap-1442	37	8	defined	define	VERB
ap-1442	37	9	in	in	ADP
ap-1442	37	10	terms	term	NOUN
ap-1442	37	11	of	of	ADP
ap-1442	37	12	the	the	DET
ap-1442	37	13	asymptotic	asymptotic	ADJ
ap-1442	37	14	behavior	behavior	NOUN
ap-1442	37	15	of	of	ADP
ap-1442	37	16	the	the	DET
ap-1442	37	17	rescaled	rescaled	ADJ
ap-1442	37	18	range	range	NOUN
ap-1442	37	19	as	as	ADP
ap-1442	37	20	a	a	DET
ap-1442	37	21	function	function	NOUN
ap-1442	37	22	of	of	ADP
ap-1442	37	23	the	the	DET
ap-1442	37	24	time	time	NOUN
ap-1442	37	25	span	span	NOUN
ap-1442	37	26	of	of	ADP
ap-1442	37	27	a	a	DET
ap-1442	37	28	time	time	NOUN
ap-1442	37	29	series	series	NOUN
ap-1442	37	30	,	,	PUNCT
ap-1442	37	31	as	as	SCONJ
ap-1442	37	32	follows	follow	VERB
ap-1442	37	33	e	e	NOUN
ap-1442	37	34	[	[	PUNCT
ap-1442	37	35	r(n	r(n	PROPN
ap-1442	37	36	)	)	PUNCT
ap-1442	37	37	s(n	s(n	PROPN
ap-1442	37	38	)	)	PUNCT
ap-1442	37	39	]	]	PUNCT
ap-1442	38	1	=	=	PUNCT
ap-1442	38	2	cnh	cnh	PROPN
ap-1442	38	3	as	as	ADP
ap-1442	38	4	n	n	PROPN
ap-1442	38	5	→	→	SYM
ap-1442	38	6	∞	∞	PROPN
ap-1442	38	7	,	,	PUNCT
ap-1442	38	8	(	(	PUNCT
ap-1442	38	9	3	3	X
ap-1442	38	10	)	)	PUNCT
ap-1442	38	11	63	63	NUM
ap-1442	38	12	acta	acta	PROPN
ap-1442	38	13	polytechnica	polytechnica	PROPN
ap-1442	38	14	vol	vol	NOUN
ap-1442	38	15	.	.	PUNCT
ap-1442	39	1	51	51	NUM
ap-1442	39	2	no	no	NOUN
ap-1442	39	3	.	.	PUNCT
ap-1442	40	1	5/2011	5/2011	NUM
ap-1442	40	2	where	where	SCONJ
ap-1442	40	3	[	[	X
ap-1442	40	4	r(n)/s(n	r(n)/s(n	NOUN
ap-1442	40	5	)	)	PUNCT
ap-1442	40	6	]	]	PUNCT
ap-1442	40	7	is	be	AUX
ap-1442	40	8	the	the	DET
ap-1442	40	9	rescaled	rescaled	ADJ
ap-1442	40	10	range	range	NOUN
ap-1442	40	11	;	;	PUNCT
ap-1442	40	12	e[y	e[y	NOUN
ap-1442	40	13	]	]	PUNCT
ap-1442	40	14	is	be	AUX
ap-1442	40	15	expected	expect	VERB
ap-1442	40	16	value	value	NOUN
ap-1442	40	17	;	;	PUNCT
ap-1442	40	18	n	n	X
ap-1442	40	19	is	be	AUX
ap-1442	40	20	number	number	NOUN
ap-1442	40	21	of	of	ADP
ap-1442	40	22	data	datum	NOUN
ap-1442	40	23	points	point	NOUN
ap-1442	40	24	in	in	ADP
ap-1442	40	25	a	a	DET
ap-1442	40	26	time	time	NOUN
ap-1442	40	27	series	series	NOUN
ap-1442	40	28	,	,	PUNCT
ap-1442	40	29	c	c	PROPN
ap-1442	40	30	is	be	AUX
ap-1442	40	31	a	a	DET
ap-1442	40	32	constant	constant	ADJ
ap-1442	40	33	.	.	PUNCT
ap-1442	41	1	an	an	DET
ap-1442	41	2	algorithm	algorithm	NOUN
ap-1442	41	3	for	for	ADP
ap-1442	41	4	calculation	calculation	NOUN
ap-1442	41	5	is	be	AUX
ap-1442	41	6	used	use	VERB
ap-1442	41	7	from	from	ADP
ap-1442	41	8	wikipedia	wikipedia	PROPN
ap-1442	42	1	[	[	X
ap-1442	42	2	12	12	NUM
ap-1442	42	3	]	]	PUNCT
ap-1442	42	4	.	.	PUNCT
ap-1442	43	1	to	to	PART
ap-1442	43	2	calculate	calculate	VERB
ap-1442	43	3	the	the	DET
ap-1442	43	4	hurst	hurst	PROPN
ap-1442	43	5	exponent	exponent	NOUN
ap-1442	43	6	,	,	PUNCT
ap-1442	43	7	one	one	PRON
ap-1442	43	8	must	must	AUX
ap-1442	43	9	estimate	estimate	VERB
ap-1442	43	10	the	the	DET
ap-1442	43	11	dependence	dependence	NOUN
ap-1442	43	12	of	of	ADP
ap-1442	43	13	the	the	DET
ap-1442	43	14	rescaled	rescaled	ADJ
ap-1442	43	15	range	range	NOUN
ap-1442	43	16	on	on	ADP
ap-1442	43	17	the	the	DET
ap-1442	43	18	time	time	NOUN
ap-1442	43	19	span	span	NOUN
ap-1442	43	20	n	n	PROPN
ap-1442	43	21	of	of	ADP
ap-1442	43	22	observation	observation	NOUN
ap-1442	43	23	.	.	PUNCT
ap-1442	44	1	the	the	DET
ap-1442	44	2	average	average	ADJ
ap-1442	44	3	rescaled	rescaled	ADJ
ap-1442	44	4	range	range	NOUN
ap-1442	44	5	is	be	AUX
ap-1442	44	6	then	then	ADV
ap-1442	44	7	calculated	calculate	VERB
ap-1442	44	8	for	for	ADP
ap-1442	44	9	each	each	DET
ap-1442	44	10	value	value	NOUN
ap-1442	44	11	of	of	ADP
ap-1442	44	12	n.	n.	NOUN
ap-1442	44	13	for	for	ADP
ap-1442	44	14	a	a	DET
ap-1442	44	15	(	(	PUNCT
ap-1442	44	16	partial	partial	ADJ
ap-1442	44	17	)	)	PUNCT
ap-1442	44	18	time	time	NOUN
ap-1442	44	19	series	series	NOUN
ap-1442	44	20	of	of	ADP
ap-1442	44	21	length	length	NOUN
ap-1442	44	22	n	n	CCONJ
ap-1442	44	23	,	,	PUNCT
ap-1442	44	24	y	y	PROPN
ap-1442	44	25	=	=	SYM
ap-1442	44	26	y1	y1	PROPN
ap-1442	44	27	,	,	PUNCT
ap-1442	44	28	y2	y2	INTJ
ap-1442	44	29	,	,	PUNCT
ap-1442	44	30	.	.	PUNCT
ap-1442	44	31	.	.	PUNCT
ap-1442	45	1	.	.	PUNCT
ap-1442	46	1	,	,	PUNCT
ap-1442	46	2	yn	yn	PROPN
ap-1442	46	3	,	,	PUNCT
ap-1442	46	4	the	the	DET
ap-1442	46	5	rescaled	rescaled	ADJ
ap-1442	46	6	range	range	NOUN
ap-1442	46	7	is	be	AUX
ap-1442	46	8	calculated	calculate	VERB
ap-1442	46	9	as	as	SCONJ
ap-1442	46	10	follows	follow	VERB
ap-1442	46	11	:	:	PUNCT
ap-1442	46	12	1	1	X
ap-1442	46	13	.	.	X
ap-1442	46	14	create	create	VERB
ap-1442	46	15	a	a	DET
ap-1442	46	16	mean	mean	ADV
ap-1442	46	17	-	-	PUNCT
ap-1442	46	18	adjusted	adjust	VERB
ap-1442	46	19	series	series	NOUN
ap-1442	46	20	ut	ut	PROPN
ap-1442	47	1	=	=	PROPN
ap-1442	47	2	yt	yt	PROPN
ap-1442	47	3	−	−	NUM
ap-1442	47	4	1	1	NUM
ap-1442	48	1	n	n	PROPN
ap-1442	48	2	n∑	n∑	NOUN
ap-1442	48	3	i=1	i=1	PROPN
ap-1442	48	4	yi	yi	PROPN
ap-1442	48	5	for	for	ADP
ap-1442	48	6	t	t	NOUN
ap-1442	48	7	=	=	SYM
ap-1442	48	8	1	1	NUM
ap-1442	48	9	,	,	PUNCT
ap-1442	48	10	2	2	NUM
ap-1442	48	11	,	,	PUNCT
ap-1442	48	12	.	.	PUNCT
ap-1442	48	13	.	.	PUNCT
ap-1442	49	1	.	.	PUNCT
ap-1442	50	1	,	,	PUNCT
ap-1442	50	2	n	n	X
ap-1442	50	3	(	(	PUNCT
ap-1442	50	4	4	4	NUM
ap-1442	50	5	)	)	PUNCT
ap-1442	50	6	2	2	NUM
ap-1442	50	7	.	.	X
ap-1442	50	8	calculate	calculate	VERB
ap-1442	50	9	the	the	DET
ap-1442	50	10	cumulative	cumulative	ADJ
ap-1442	50	11	deviate	deviate	NOUN
ap-1442	50	12	series	series	NOUN
ap-1442	50	13	v	v	NOUN
ap-1442	50	14	;	;	PUNCT
ap-1442	50	15	vt	vt	PROPN
ap-1442	50	16	=	=	PROPN
ap-1442	50	17	n∑	n∑	PROPN
ap-1442	50	18	i=1	i=1	PROPN
ap-1442	50	19	ui	ui	PROPN
ap-1442	50	20	for	for	ADP
ap-1442	50	21	t	t	NOUN
ap-1442	50	22	=	=	SYM
ap-1442	50	23	1	1	NUM
ap-1442	50	24	,	,	PUNCT
ap-1442	50	25	2	2	NUM
ap-1442	50	26	,	,	PUNCT
ap-1442	50	27	.	.	PUNCT
ap-1442	50	28	.	.	PUNCT
ap-1442	51	1	.	.	PUNCT
ap-1442	52	1	,	,	PUNCT
ap-1442	52	2	n	n	X
ap-1442	52	3	(	(	PUNCT
ap-1442	52	4	5	5	NUM
ap-1442	52	5	)	)	PUNCT
ap-1442	52	6	3	3	NUM
ap-1442	52	7	.	.	X
ap-1442	52	8	compute	compute	VERB
ap-1442	52	9	the	the	DET
ap-1442	52	10	range	range	NOUN
ap-1442	52	11	r	r	NOUN
ap-1442	52	12	;	;	PUNCT
ap-1442	52	13	r(n	r(n	PROPN
ap-1442	52	14	)	)	PUNCT
ap-1442	52	15	=	=	PUNCT
ap-1442	53	1	max(v1	max(v1	NOUN
ap-1442	53	2	,	,	PUNCT
ap-1442	53	3	v2	v2	PROPN
ap-1442	53	4	,	,	PUNCT
ap-1442	53	5	.	.	PUNCT
ap-1442	53	6	.	.	PUNCT
ap-1442	53	7	.	.	PUNCT
ap-1442	54	1	,	,	PUNCT
ap-1442	54	2	vn)−min(v1	vn)−min(v1	NOUN
ap-1442	54	3	,	,	PUNCT
ap-1442	54	4	v2	v2	NOUN
ap-1442	54	5	,	,	PUNCT
ap-1442	54	6	.	.	PUNCT
ap-1442	54	7	.	.	PUNCT
ap-1442	54	8	.	.	PUNCT
ap-1442	55	1	,	,	PUNCT
ap-1442	55	2	vn	vn	PROPN
ap-1442	55	3	)	)	PUNCT
ap-1442	55	4	(	(	PUNCT
ap-1442	55	5	6	6	NUM
ap-1442	55	6	)	)	SYM
ap-1442	55	7	4	4	NUM
ap-1442	55	8	.	.	X
ap-1442	55	9	compute	compute	VERB
ap-1442	55	10	the	the	DET
ap-1442	55	11	standard	standard	ADJ
ap-1442	55	12	deviation	deviation	NOUN
ap-1442	55	13	s	s	PART
ap-1442	55	14	s(n	s(n	NOUN
ap-1442	55	15	)	)	PUNCT
ap-1442	55	16	=	=	PUNCT
ap-1442	56	1	√√√√	√√√√	ADP
ap-1442	56	2	1	1	NUM
ap-1442	56	3	n	n	NUM
ap-1442	56	4	n∑	n∑	NOUN
ap-1442	56	5	i=1	i=1	PROPN
ap-1442	56	6	(	(	PUNCT
ap-1442	56	7	yi	yi	NOUN
ap-1442	57	1	−	−	PROPN
ap-1442	57	2	ȳ	ȳ	PROPN
ap-1442	57	3	)	)	PUNCT
ap-1442	57	4	2	2	NUM
ap-1442	57	5	(	(	PUNCT
ap-1442	57	6	7	7	NUM
ap-1442	57	7	)	)	SYM
ap-1442	57	8	5	5	NUM
ap-1442	57	9	.	.	PUNCT
ap-1442	57	10	calculate	calculate	VERB
ap-1442	57	11	the	the	DET
ap-1442	57	12	rescaled	rescaled	ADJ
ap-1442	57	13	range	range	NOUN
ap-1442	57	14	and	and	CCONJ
ap-1442	57	15	average	average	ADJ
ap-1442	57	16	over	over	ADP
ap-1442	57	17	all	all	DET
ap-1442	57	18	the	the	DET
ap-1442	57	19	partial	partial	ADJ
ap-1442	57	20	time	time	NOUN
ap-1442	57	21	series	series	NOUN
ap-1442	57	22	of	of	ADP
ap-1442	57	23	length	length	PROPN
ap-1442	57	24	n.	n.	PROPN
ap-1442	57	25	the	the	DET
ap-1442	57	26	hurst	hurst	PROPN
ap-1442	57	27	exponent	exponent	NOUN
ap-1442	57	28	is	be	AUX
ap-1442	57	29	estimated	estimate	VERB
ap-1442	57	30	by	by	ADP
ap-1442	57	31	fitting	fit	VERB
ap-1442	57	32	the	the	DET
ap-1442	57	33	power	power	NOUN
ap-1442	57	34	law	law	NOUN
ap-1442	57	35	,	,	PUNCT
ap-1442	57	36	according	accord	VERB
ap-1442	57	37	to	to	ADP
ap-1442	57	38	the	the	DET
ap-1442	57	39	definition	definition	NOUN
ap-1442	57	40	.	.	PUNCT
ap-1442	58	1	the	the	DET
ap-1442	58	2	values	value	NOUN
ap-1442	58	3	of	of	ADP
ap-1442	58	4	the	the	DET
ap-1442	58	5	hurst	hurst	PROPN
ap-1442	58	6	exponent	exponent	NOUN
ap-1442	58	7	vary	vary	VERB
ap-1442	58	8	between	between	ADP
ap-1442	58	9	0	0	NUM
ap-1442	58	10	and	and	CCONJ
ap-1442	58	11	1	1	NUM
ap-1442	58	12	,	,	PUNCT
ap-1442	58	13	with	with	ADP
ap-1442	58	14	higher	high	ADJ
ap-1442	58	15	values	value	NOUN
ap-1442	58	16	indicating	indicate	VERB
ap-1442	58	17	a	a	DET
ap-1442	58	18	smoother	smooth	ADJ
ap-1442	58	19	trend	trend	NOUN
ap-1442	58	20	,	,	PUNCT
ap-1442	58	21	less	less	ADJ
ap-1442	58	22	volatility	volatility	NOUN
ap-1442	58	23	,	,	PUNCT
ap-1442	58	24	and	and	CCONJ
ap-1442	58	25	less	less	ADJ
ap-1442	58	26	roughness	roughness	NOUN
ap-1442	58	27	.	.	PUNCT
ap-1442	59	1	random	random	ADJ
ap-1442	59	2	walk	walk	NOUN
ap-1442	59	3	has	have	VERB
ap-1442	59	4	a	a	DET
ap-1442	59	5	hurst	hurst	PROPN
ap-1442	59	6	exponent	exponent	NOUN
ap-1442	59	7	of	of	ADP
ap-1442	59	8	0.5	0.5	NUM
ap-1442	59	9	.	.	PUNCT
ap-1442	60	1	2.3	2.3	NUM
ap-1442	60	2	fractal	fractal	NOUN
ap-1442	60	3	the	the	DET
ap-1442	60	4	term	term	NOUN
ap-1442	60	5	“	"	PUNCT
ap-1442	60	6	fractal	fractal	NOUN
ap-1442	60	7	”	"	PUNCT
ap-1442	60	8	was	be	AUX
ap-1442	60	9	first	first	ADV
ap-1442	60	10	introduced	introduce	VERB
ap-1442	60	11	by	by	ADP
ap-1442	60	12	mandelbrot	mandelbrot	NOUN
ap-1442	60	13	[	[	X
ap-1442	60	14	4	4	NUM
ap-1442	60	15	]	]	PUNCT
ap-1442	60	16	.	.	PUNCT
ap-1442	61	1	a	a	DET
ap-1442	61	2	fractal	fractal	NOUN
ap-1442	61	3	is	be	AUX
ap-1442	61	4	a	a	DET
ap-1442	61	5	complicated	complicated	ADJ
ap-1442	61	6	geometric	geometric	ADJ
ap-1442	61	7	figure	figure	NOUN
ap-1442	61	8	that	that	SCONJ
ap-1442	61	9	,	,	PUNCT
ap-1442	61	10	unlike	unlike	ADP
ap-1442	61	11	a	a	DET
ap-1442	61	12	conventional	conventional	ADJ
ap-1442	61	13	complicated	complicated	ADJ
ap-1442	61	14	figure	figure	NOUN
ap-1442	61	15	,	,	PUNCT
ap-1442	61	16	does	do	AUX
ap-1442	61	17	not	not	PART
ap-1442	61	18	simplify	simplify	VERB
ap-1442	61	19	when	when	SCONJ
ap-1442	61	20	it	it	PRON
ap-1442	61	21	is	be	AUX
ap-1442	61	22	magnified	magnify	VERB
ap-1442	61	23	.	.	PUNCT
ap-1442	62	1	in	in	ADP
ap-1442	62	2	the	the	DET
ap-1442	62	3	way	way	NOUN
ap-1442	62	4	that	that	PRON
ap-1442	62	5	euclidean	euclidean	ADJ
ap-1442	62	6	geometry	geometry	NOUN
ap-1442	62	7	has	have	AUX
ap-1442	62	8	served	serve	VERB
ap-1442	62	9	as	as	ADP
ap-1442	62	10	a	a	DET
ap-1442	62	11	descriptive	descriptive	ADJ
ap-1442	62	12	language	language	NOUN
ap-1442	62	13	for	for	ADP
ap-1442	62	14	classical	classical	ADJ
ap-1442	62	15	mechanics	mechanic	NOUN
ap-1442	62	16	of	of	ADP
ap-1442	62	17	motion	motion	NOUN
ap-1442	62	18	,	,	PUNCT
ap-1442	62	19	fractal	fractal	ADJ
ap-1442	62	20	geometry	geometry	NOUN
ap-1442	62	21	is	be	AUX
ap-1442	62	22	being	be	AUX
ap-1442	62	23	used	use	VERB
ap-1442	62	24	for	for	ADP
ap-1442	62	25	the	the	DET
ap-1442	62	26	patterns	pattern	NOUN
ap-1442	62	27	produced	produce	VERB
ap-1442	62	28	by	by	ADP
ap-1442	62	29	chaos	chaos	NOUN
ap-1442	62	30	[	[	X
ap-1442	62	31	9	9	NUM
ap-1442	62	32	]	]	PUNCT
ap-1442	62	33	.	.	PUNCT
ap-1442	63	1	the	the	DET
ap-1442	63	2	fractal	fractal	ADJ
ap-1442	63	3	dimension	dimension	NOUN
ap-1442	63	4	,	,	PUNCT
ap-1442	63	5	d	d	NOUN
ap-1442	63	6	,	,	PUNCT
ap-1442	63	7	is	be	AUX
ap-1442	63	8	a	a	DET
ap-1442	63	9	statistical	statistical	ADJ
ap-1442	63	10	quantity	quantity	NOUN
ap-1442	63	11	that	that	PRON
ap-1442	63	12	gives	give	VERB
ap-1442	63	13	an	an	DET
ap-1442	63	14	indication	indication	NOUN
ap-1442	63	15	of	of	ADP
ap-1442	63	16	how	how	SCONJ
ap-1442	63	17	completely	completely	ADV
ap-1442	63	18	a	a	DET
ap-1442	63	19	fractal	fractal	NOUN
ap-1442	63	20	appears	appear	VERB
ap-1442	63	21	to	to	PART
ap-1442	63	22	fill	fill	VERB
ap-1442	63	23	space	space	NOUN
ap-1442	63	24	,	,	PUNCT
ap-1442	63	25	as	as	ADP
ap-1442	63	26	one	one	NUM
ap-1442	63	27	zooms	zoom	NOUN
ap-1442	63	28	down	down	ADP
ap-1442	63	29	to	to	ADP
ap-1442	63	30	finer	fine	ADJ
ap-1442	63	31	and	and	CCONJ
ap-1442	63	32	finer	fine	ADJ
ap-1442	63	33	scales	scale	NOUN
ap-1442	63	34	.	.	PUNCT
ap-1442	64	1	there	there	PRON
ap-1442	64	2	are	be	VERB
ap-1442	64	3	many	many	ADJ
ap-1442	64	4	specific	specific	ADJ
ap-1442	64	5	definitions	definition	NOUN
ap-1442	64	6	of	of	ADP
ap-1442	64	7	fractal	fractal	ADJ
ap-1442	64	8	dimension	dimension	NOUN
ap-1442	64	9	.	.	PUNCT
ap-1442	65	1	hurst	hurst	PROPN
ap-1442	65	2	exponent	exponent	PROPN
ap-1442	65	3	h	h	PROPN
ap-1442	65	4	is	be	AUX
ap-1442	65	5	directly	directly	ADV
ap-1442	65	6	related	relate	VERB
ap-1442	65	7	to	to	ADP
ap-1442	65	8	fractal	fractal	ADJ
ap-1442	65	9	dimension	dimension	NOUN
ap-1442	65	10	d	d	NOUN
ap-1442	65	11	,	,	PUNCT
ap-1442	65	12	because	because	SCONJ
ap-1442	65	13	the	the	DET
ap-1442	65	14	maximum	maximum	ADJ
ap-1442	65	15	fractal	fractal	ADJ
ap-1442	65	16	dimension	dimension	NOUN
ap-1442	65	17	for	for	ADP
ap-1442	65	18	a	a	DET
ap-1442	65	19	planar	planar	ADJ
ap-1442	65	20	tracing	tracing	NOUN
ap-1442	65	21	is	be	AUX
ap-1442	65	22	2	2	NUM
ap-1442	65	23	:	:	PUNCT
ap-1442	65	24	d	d	X
ap-1442	65	25	+	+	NOUN
ap-1442	65	26	h	h	NOUN
ap-1442	65	27	=	=	SYM
ap-1442	65	28	2	2	NUM
ap-1442	65	29	(	(	PUNCT
ap-1442	65	30	8)	8)	NUM
ap-1442	65	31	2.4	2.4	NUM
ap-1442	65	32	correlation	correlation	NOUN
ap-1442	65	33	dimension	dimension	NOUN
ap-1442	65	34	correlation	correlation	NOUN
ap-1442	65	35	dimension	dimension	NOUN
ap-1442	65	36	(	(	PUNCT
ap-1442	65	37	dc	dc	PROPN
ap-1442	65	38	)	)	PUNCT
ap-1442	65	39	describes	describe	VERB
ap-1442	65	40	the	the	DET
ap-1442	65	41	dimensionality	dimensionality	NOUN
ap-1442	65	42	of	of	ADP
ap-1442	65	43	the	the	DET
ap-1442	65	44	underlying	underlie	VERB
ap-1442	65	45	process	process	NOUN
ap-1442	65	46	in	in	ADP
ap-1442	65	47	relation	relation	NOUN
ap-1442	65	48	to	to	ADP
ap-1442	65	49	its	its	PRON
ap-1442	65	50	geometrical	geometrical	ADJ
ap-1442	65	51	reconstruction	reconstruction	NOUN
ap-1442	65	52	in	in	ADP
ap-1442	65	53	phase	phase	NOUN
ap-1442	65	54	space	space	NOUN
ap-1442	65	55	.	.	PUNCT
ap-1442	66	1	the	the	DET
ap-1442	66	2	correlation	correlation	NOUN
ap-1442	66	3	dimension	dimension	NOUN
ap-1442	66	4	is	be	AUX
ap-1442	66	5	calculated	calculate	VERB
ap-1442	66	6	using	use	VERB
ap-1442	66	7	the	the	DET
ap-1442	66	8	fundamental	fundamental	ADJ
ap-1442	66	9	definition	definition	NOUN
ap-1442	66	10	.	.	PUNCT
ap-1442	67	1	define	define	VERB
ap-1442	67	2	the	the	DET
ap-1442	67	3	correlation	correlation	NOUN
ap-1442	67	4	integral	integral	ADJ
ap-1442	67	5	for	for	ADP
ap-1442	67	6	set	set	NOUN
ap-1442	67	7	of	of	ADP
ap-1442	67	8	data	datum	NOUN
ap-1442	67	9	m	m	VERB
ap-1442	67	10	:	:	PUNCT
ap-1442	67	11	c(r	c(r	NOUN
ap-1442	67	12	)	)	PUNCT
ap-1442	68	1	=	=	SYM
ap-1442	68	2	1	1	NUM
ap-1442	68	3	m(m	m(m	NOUN
ap-1442	68	4	−	−	NOUN
ap-1442	68	5	1	1	NUM
ap-1442	68	6	)	)	PUNCT
ap-1442	68	7	m∑	m∑	CCONJ
ap-1442	69	1	i	i	PRON
ap-1442	69	2	,	,	PUNCT
ap-1442	69	3	j	j	PROPN
ap-1442	69	4	=	=	SYM
ap-1442	69	5	1	1	NUM
ap-1442	69	6	i	i	NOUN
ap-1442	69	7	�	�	NOUN
ap-1442	69	8	=	=	SYM
ap-1442	69	9	j	j	PROPN
ap-1442	69	10	h	h	NOUN
ap-1442	69	11	(	(	PUNCT
ap-1442	70	1	r	r	NOUN
ap-1442	70	2	−	−	PROPN
ap-1442	70	3	‖yi	‖yi	NUM
ap-1442	70	4	−	−	PROPN
ap-1442	70	5	yj‖	yj‖	PROPN
ap-1442	70	6	)	)	PUNCT
ap-1442	70	7	(	(	PUNCT
ap-1442	70	8	9	9	X
ap-1442	70	9	)	)	PUNCT
ap-1442	70	10	where	where	SCONJ
ap-1442	70	11	h	h	NOUN
ap-1442	70	12	is	be	AUX
ap-1442	70	13	the	the	DET
ap-1442	70	14	heaviside	heaviside	ADJ
ap-1442	70	15	step	step	NOUN
ap-1442	70	16	function	function	NOUN
ap-1442	70	17	.	.	PUNCT
ap-1442	71	1	h(x	h(x	PROPN
ap-1442	71	2	)	)	PUNCT
ap-1442	72	1	=	=	PRON
ap-1442	72	2	⎧⎪⎪⎨	⎧⎪⎪⎨	NOUN
ap-1442	72	3	⎪⎪⎩	⎪⎪⎩	NOUN
ap-1442	72	4	0	0	PUNCT
ap-1442	73	1	y	y	NOUN
ap-1442	73	2	<	<	X
ap-1442	73	3	0	0	NUM
ap-1442	73	4	1	1	NUM
ap-1442	73	5	2	2	NUM
ap-1442	73	6	y	y	NOUN
ap-1442	73	7	=	=	SYM
ap-1442	73	8	0	0	PROPN
ap-1442	73	9	1	1	NUM
ap-1442	73	10	y	y	PROPN
ap-1442	73	11	>	>	X
ap-1442	73	12	0	0	PUNCT
ap-1442	74	1	(	(	PUNCT
ap-1442	74	2	10	10	NUM
ap-1442	74	3	)	)	PUNCT
ap-1442	74	4	a	a	DET
ap-1442	74	5	euclidean	euclidean	ADJ
ap-1442	74	6	metric	metric	NOUN
ap-1442	74	7	is	be	AUX
ap-1442	74	8	used	use	VERB
ap-1442	74	9	for	for	ADP
ap-1442	74	10	all	all	DET
ap-1442	74	11	calculations	calculation	NOUN
ap-1442	74	12	in	in	ADP
ap-1442	74	13	this	this	DET
ap-1442	74	14	paper	paper	NOUN
ap-1442	74	15	.	.	PUNCT
ap-1442	75	1	when	when	SCONJ
ap-1442	75	2	a	a	DET
ap-1442	75	3	lower	low	ADJ
ap-1442	75	4	limit	limit	NOUN
ap-1442	75	5	exists	exist	VERB
ap-1442	75	6	,	,	PUNCT
ap-1442	75	7	the	the	DET
ap-1442	75	8	correlation	correlation	NOUN
ap-1442	75	9	dimension	dimension	NOUN
ap-1442	75	10	is	be	AUX
ap-1442	75	11	then	then	ADV
ap-1442	75	12	defined	define	VERB
ap-1442	75	13	as	as	ADP
ap-1442	75	14	dc	dc	PROPN
ap-1442	75	15	=	=	SYM
ap-1442	75	16	lim	lim	PROPN
ap-1442	75	17	r	r	PROPN
ap-1442	75	18	→	→	SYM
ap-1442	75	19	0	0	NUM
ap-1442	75	20	m	m	PROPN
ap-1442	75	21	→	→	SYM
ap-1442	75	22	∞	∞	NUM
ap-1442	75	23	ln(c(r	ln(c(r	NOUN
ap-1442	75	24	)	)	PUNCT
ap-1442	75	25	)	)	PUNCT
ap-1442	76	1	ln(r	ln(r	NOUN
ap-1442	76	2	)	)	PUNCT
ap-1442	76	3	(	(	PUNCT
ap-1442	76	4	11	11	X
ap-1442	76	5	)	)	PUNCT
ap-1442	76	6	2.5	2.5	NUM
ap-1442	76	7	lyapunov	lyapunov	NOUN
ap-1442	76	8	exponents	exponent	NOUN
ap-1442	76	9	the	the	DET
ap-1442	76	10	lyapunov	lyapunov	ADJ
ap-1442	76	11	exponent	exponent	NOUN
ap-1442	76	12	or	or	CCONJ
ap-1442	76	13	the	the	DET
ap-1442	76	14	lyapunov	lyapunov	ADJ
ap-1442	76	15	characteristic	characteristic	ADJ
ap-1442	76	16	exponent	exponent	NOUN
ap-1442	76	17	of	of	ADP
ap-1442	76	18	a	a	DET
ap-1442	76	19	dynamical	dynamical	ADJ
ap-1442	76	20	system	system	NOUN
ap-1442	76	21	is	be	AUX
ap-1442	76	22	a	a	DET
ap-1442	76	23	quantity	quantity	NOUN
ap-1442	76	24	that	that	PRON
ap-1442	76	25	characterizes	characterize	VERB
ap-1442	76	26	the	the	DET
ap-1442	76	27	rate	rate	NOUN
ap-1442	76	28	of	of	ADP
ap-1442	76	29	separation	separation	NOUN
ap-1442	76	30	of	of	ADP
ap-1442	76	31	infinitesimally	infinitesimally	ADV
ap-1442	76	32	close	close	ADJ
ap-1442	76	33	trajectories	trajectory	NOUN
ap-1442	76	34	.	.	PUNCT
ap-1442	77	1	quantitatively	quantitatively	ADV
ap-1442	77	2	,	,	PUNCT
ap-1442	77	3	two	two	NUM
ap-1442	77	4	trajectories	trajectory	NOUN
ap-1442	77	5	in	in	ADP
ap-1442	77	6	phase	phase	NOUN
ap-1442	77	7	space	space	NOUN
ap-1442	77	8	with	with	ADP
ap-1442	77	9	initial	initial	ADJ
ap-1442	77	10	separation	separation	NOUN
ap-1442	77	11	δz0	δz0	NOUN
ap-1442	77	12	diverge	diverge	NOUN
ap-1442	77	13	(	(	PUNCT
ap-1442	77	14	provided	provide	VERB
ap-1442	77	15	that	that	SCONJ
ap-1442	77	16	the	the	DET
ap-1442	77	17	divergence	divergence	NOUN
ap-1442	77	18	can	can	AUX
ap-1442	77	19	be	be	AUX
ap-1442	77	20	treated	treat	VERB
ap-1442	77	21	within	within	ADP
ap-1442	77	22	the	the	DET
ap-1442	77	23	linearized	linearize	VERB
ap-1442	77	24	approximation	approximation	NOUN
ap-1442	77	25	)	)	PUNCT
ap-1442	77	26	δz(t	δz(t	NOUN
ap-1442	77	27	)	)	PUNCT
ap-1442	78	1	≈	≈	PROPN
ap-1442	78	2	eλt	eλt	PROPN
ap-1442	78	3	|δz0|	|δz0|	PROPN
ap-1442	78	4	(	(	PUNCT
ap-1442	78	5	12	12	NUM
ap-1442	78	6	)	)	PUNCT
ap-1442	78	7	where	where	SCONJ
ap-1442	78	8	λ	λ	PROPN
ap-1442	78	9	is	be	AUX
ap-1442	78	10	the	the	DET
ap-1442	78	11	lyapunov	lyapunov	ADJ
ap-1442	78	12	exponent	exponent	NOUN
ap-1442	78	13	.	.	PUNCT
ap-1442	79	1	the	the	DET
ap-1442	79	2	maximal	maximal	ADJ
ap-1442	79	3	lyapunov	lyapunov	ADJ
ap-1442	79	4	exponent	exponent	NOUN
ap-1442	79	5	can	can	AUX
ap-1442	79	6	be	be	AUX
ap-1442	79	7	defined	define	VERB
ap-1442	79	8	as	as	SCONJ
ap-1442	79	9	follows	follow	VERB
ap-1442	79	10	:	:	PUNCT
ap-1442	80	1	λ	λ	PROPN
ap-1442	80	2	=	=	SYM
ap-1442	80	3	lim	lim	PROPN
ap-1442	80	4	δz0	δz0	PROPN
ap-1442	80	5	→	→	SYM
ap-1442	80	6	0	0	NUM
ap-1442	80	7	t	t	PROPN
ap-1442	80	8	→	→	SYM
ap-1442	80	9	∞	∞	PROPN
ap-1442	80	10	1	1	NUM
ap-1442	80	11	t	t	NOUN
ap-1442	80	12	ln	ln	NOUN
ap-1442	80	13	|δz(t)|	|δz(t)|	NOUN
ap-1442	80	14	|δz0|	|δz0|	PROPN
ap-1442	80	15	(	(	PUNCT
ap-1442	80	16	13	13	NUM
ap-1442	80	17	)	)	PUNCT
ap-1442	80	18	the	the	DET
ap-1442	80	19	limit	limit	NOUN
ap-1442	80	20	δz0	δz0	NOUN
ap-1442	80	21	→	→	SYM
ap-1442	80	22	0	0	NUM
ap-1442	80	23	ensures	ensure	VERB
ap-1442	80	24	the	the	DET
ap-1442	80	25	validity	validity	NOUN
ap-1442	80	26	of	of	ADP
ap-1442	80	27	the	the	DET
ap-1442	80	28	linear	linear	ADJ
ap-1442	80	29	approximation	approximation	NOUN
ap-1442	80	30	at	at	ADP
ap-1442	80	31	any	any	DET
ap-1442	80	32	time	time	NOUN
ap-1442	80	33	.	.	PUNCT
ap-1442	81	1	maximal	maximal	ADJ
ap-1442	81	2	lyapunov	lyapunov	ADJ
ap-1442	81	3	exponent	exponent	NOUN
ap-1442	81	4	determines	determine	VERB
ap-1442	81	5	a	a	DET
ap-1442	81	6	notion	notion	NOUN
ap-1442	81	7	of	of	ADP
ap-1442	81	8	predictability	predictability	NOUN
ap-1442	81	9	for	for	ADP
ap-1442	81	10	a	a	DET
ap-1442	81	11	dynamical	dynamical	ADJ
ap-1442	81	12	system	system	NOUN
ap-1442	81	13	.	.	PUNCT
ap-1442	82	1	a	a	DET
ap-1442	82	2	positive	positive	ADJ
ap-1442	82	3	maximal	maximal	ADJ
ap-1442	82	4	lyapunov	lyapunov	ADJ
ap-1442	82	5	exponent	exponent	NOUN
ap-1442	82	6	is	be	AUX
ap-1442	82	7	usually	usually	ADV
ap-1442	82	8	taken	take	VERB
ap-1442	82	9	as	as	ADP
ap-1442	82	10	an	an	DET
ap-1442	82	11	indication	indication	NOUN
ap-1442	82	12	that	that	SCONJ
ap-1442	82	13	the	the	DET
ap-1442	82	14	system	system	NOUN
ap-1442	82	15	is	be	AUX
ap-1442	82	16	chaotic	chaotic	ADJ
ap-1442	82	17	(	(	PUNCT
ap-1442	82	18	provided	provide	VERB
ap-1442	82	19	some	some	DET
ap-1442	82	20	64	64	NUM
ap-1442	82	21	acta	acta	PROPN
ap-1442	82	22	polytechnica	polytechnica	PROPN
ap-1442	82	23	vol	vol	NOUN
ap-1442	82	24	.	.	PUNCT
ap-1442	83	1	51	51	NUM
ap-1442	83	2	no	no	NOUN
ap-1442	83	3	.	.	PUNCT
ap-1442	84	1	5/2011	5/2011	NUM
ap-1442	84	2	other	other	ADJ
ap-1442	84	3	conditions	condition	NOUN
ap-1442	84	4	are	be	AUX
ap-1442	84	5	met	meet	VERB
ap-1442	84	6	,	,	PUNCT
ap-1442	84	7	e.g.	e.g.	ADV
ap-1442	84	8	,	,	PUNCT
ap-1442	84	9	phase	phase	NOUN
ap-1442	84	10	space	space	NOUN
ap-1442	84	11	compactness	compactness	NOUN
ap-1442	84	12	)	)	PUNCT
ap-1442	85	1	[	[	X
ap-1442	85	2	13	13	NUM
ap-1442	85	3	]	]	SYM
ap-1442	85	4	.	.	PUNCT
ap-1442	86	1	3	3	NUM
ap-1442	86	2	introduction	introduction	NOUN
ap-1442	86	3	to	to	ADP
ap-1442	86	4	nonlinear	nonlinear	ADJ
ap-1442	86	5	dynamics	dynamic	NOUN
ap-1442	86	6	if	if	SCONJ
ap-1442	86	7	the	the	DET
ap-1442	86	8	world	world	NOUN
ap-1442	86	9	is	be	AUX
ap-1442	86	10	not	not	PART
ap-1442	86	11	linear	linear	ADJ
ap-1442	86	12	(	(	PUNCT
ap-1442	86	13	and	and	CCONJ
ap-1442	86	14	there	there	PRON
ap-1442	86	15	is	be	VERB
ap-1442	86	16	no	no	DET
ap-1442	86	17	qualitative	qualitative	ADJ
ap-1442	86	18	reason	reason	NOUN
ap-1442	86	19	to	to	PART
ap-1442	86	20	assume	assume	VERB
ap-1442	86	21	that	that	SCONJ
ap-1442	86	22	it	it	PRON
ap-1442	86	23	is	be	AUX
ap-1442	86	24	linear	linear	ADJ
ap-1442	86	25	)	)	PUNCT
ap-1442	86	26	,	,	PUNCT
ap-1442	86	27	it	it	PRON
ap-1442	86	28	should	should	AUX
ap-1442	86	29	be	be	AUX
ap-1442	86	30	natural	natural	ADJ
ap-1442	86	31	to	to	PART
ap-1442	86	32	model	model	VERB
ap-1442	86	33	dynamical	dynamical	ADJ
ap-1442	86	34	economic	economic	ADJ
ap-1442	86	35	phenomena	phenomenon	NOUN
ap-1442	86	36	nonlinearly	nonlinearly	ADV
ap-1442	86	37	[	[	X
ap-1442	86	38	2	2	NUM
ap-1442	86	39	]	]	PUNCT
ap-1442	86	40	.	.	PUNCT
ap-1442	87	1	if	if	SCONJ
ap-1442	87	2	it	it	PRON
ap-1442	87	3	is	be	AUX
ap-1442	87	4	present	present	ADJ
ap-1442	87	5	in	in	ADP
ap-1442	87	6	the	the	DET
ap-1442	87	7	general	general	ADJ
ap-1442	87	8	system	system	NOUN
ap-1442	87	9	of	of	ADP
ap-1442	87	10	nonlinear	nonlinear	ADJ
ap-1442	87	11	dynamics	dynamic	NOUN
ap-1442	87	12	,	,	PUNCT
ap-1442	87	13	a	a	DET
ap-1442	87	14	deterministic	deterministic	ADJ
ap-1442	87	15	system	system	NOUN
ap-1442	87	16	can	can	AUX
ap-1442	87	17	generate	generate	VERB
ap-1442	87	18	random	random	ADJ
ap-1442	87	19	-	-	PUNCT
ap-1442	87	20	looking	look	VERB
ap-1442	87	21	results	result	NOUN
ap-1442	87	22	,	,	PUNCT
ap-1442	87	23	but	but	CCONJ
ap-1442	87	24	may	may	AUX
ap-1442	87	25	include	include	VERB
ap-1442	87	26	hidden	hidden	ADJ
ap-1442	87	27	order	order	NOUN
ap-1442	87	28	.	.	PUNCT
ap-1442	88	1	in	in	ADP
ap-1442	88	2	this	this	DET
ap-1442	88	3	paper	paper	NOUN
ap-1442	88	4	i	i	PRON
ap-1442	88	5	have	have	AUX
ap-1442	88	6	studied	study	VERB
ap-1442	88	7	only	only	ADV
ap-1442	88	8	a	a	DET
ap-1442	88	9	lowdimensional	lowdimensional	ADJ
ap-1442	88	10	discrete	discrete	ADJ
ap-1442	88	11	dynamical	dynamical	ADJ
ap-1442	88	12	system	system	NOUN
ap-1442	88	13	.	.	PUNCT
ap-1442	89	1	3.1	3.1	NUM
ap-1442	89	2	discrete	discrete	ADJ
ap-1442	89	3	dynamical	dynamical	ADJ
ap-1442	89	4	system	system	NOUN
ap-1442	89	5	definition	definition	NOUN
ap-1442	89	6	from	from	ADP
ap-1442	89	7	goldsmith	goldsmith	NOUN
ap-1442	89	8	[	[	X
ap-1442	89	9	6	6	NUM
ap-1442	89	10	]	]	PUNCT
ap-1442	89	11	:	:	PUNCT
ap-1442	89	12	a	a	DET
ap-1442	89	13	discrete	discrete	ADJ
ap-1442	89	14	-	-	PUNCT
ap-1442	89	15	time	time	NOUN
ap-1442	89	16	dynamical	dynamical	ADJ
ap-1442	89	17	system	system	NOUN
ap-1442	89	18	on	on	ADP
ap-1442	89	19	a	a	DET
ap-1442	89	20	set	set	NOUN
ap-1442	89	21	y	y	NOUN
ap-1442	89	22	is	be	AUX
ap-1442	89	23	just	just	ADV
ap-1442	89	24	the	the	DET
ap-1442	89	25	function	function	NOUN
ap-1442	89	26	φ	φ	NOUN
ap-1442	89	27	:	:	PUNCT
ap-1442	89	28	y	y	PROPN
ap-1442	89	29	→	→	SYM
ap-1442	89	30	y	y	PROPN
ap-1442	89	31	(	(	PUNCT
ap-1442	89	32	14	14	NUM
ap-1442	89	33	)	)	PUNCT
ap-1442	89	34	this	this	DET
ap-1442	89	35	function	function	NOUN
ap-1442	89	36	,	,	PUNCT
ap-1442	89	37	often	often	ADV
ap-1442	89	38	called	call	VERB
ap-1442	89	39	a	a	DET
ap-1442	89	40	map	map	NOUN
ap-1442	89	41	,	,	PUNCT
ap-1442	89	42	may	may	AUX
ap-1442	89	43	describe	describe	VERB
ap-1442	89	44	the	the	DET
ap-1442	89	45	deterministic	deterministic	ADJ
ap-1442	89	46	evolution	evolution	NOUN
ap-1442	89	47	of	of	ADP
ap-1442	89	48	some	some	DET
ap-1442	89	49	physical	physical	ADJ
ap-1442	89	50	system	system	NOUN
ap-1442	89	51	:	:	PUNCT
ap-1442	89	52	if	if	SCONJ
ap-1442	89	53	the	the	DET
ap-1442	89	54	system	system	NOUN
ap-1442	89	55	is	be	AUX
ap-1442	89	56	in	in	ADP
ap-1442	89	57	state	state	PROPN
ap-1442	89	58	y	y	PROPN
ap-1442	89	59	at	at	ADP
ap-1442	89	60	time	time	NOUN
ap-1442	89	61	t	t	PROPN
ap-1442	89	62	,	,	PUNCT
ap-1442	89	63	then	then	ADV
ap-1442	89	64	it	it	PRON
ap-1442	89	65	will	will	AUX
ap-1442	89	66	be	be	AUX
ap-1442	89	67	in	in	ADP
ap-1442	89	68	state	state	NOUN
ap-1442	89	69	φ(y	φ(y	PROPN
ap-1442	89	70	)	)	PUNCT
ap-1442	89	71	at	at	ADP
ap-1442	89	72	time	time	NOUN
ap-1442	89	73	t+	t+	NOUN
ap-1442	89	74	1	1	NUM
ap-1442	89	75	.	.	PUNCT
ap-1442	90	1	the	the	DET
ap-1442	90	2	study	study	NOUN
ap-1442	90	3	of	of	ADP
ap-1442	90	4	discrete	discrete	ADJ
ap-1442	90	5	-	-	PUNCT
ap-1442	90	6	time	time	NOUN
ap-1442	90	7	dynamical	dynamical	ADJ
ap-1442	90	8	systems	system	NOUN
ap-1442	90	9	is	be	AUX
ap-1442	90	10	concerned	concern	VERB
ap-1442	90	11	with	with	ADP
ap-1442	90	12	iterates	iterate	NOUN
ap-1442	90	13	of	of	ADP
ap-1442	90	14	the	the	DET
ap-1442	90	15	map	map	NOUN
ap-1442	90	16	:	:	PUNCT
ap-1442	90	17	the	the	DET
ap-1442	90	18	sequence	sequence	NOUN
ap-1442	90	19	y	y	PROPN
ap-1442	90	20	,	,	PUNCT
ap-1442	90	21	φ(y),φ2(y	φ(y),φ2(y	PROPN
ap-1442	90	22	)	)	PUNCT
ap-1442	90	23	,	,	PUNCT
ap-1442	90	24	.	.	PUNCT
ap-1442	90	25	.	.	PUNCT
ap-1442	90	26	.	.	PUNCT
ap-1442	91	1	(	(	PUNCT
ap-1442	91	2	15	15	NUM
ap-1442	91	3	)	)	PUNCT
ap-1442	91	4	is	be	AUX
ap-1442	91	5	called	call	VERB
ap-1442	91	6	the	the	DET
ap-1442	91	7	trajectory	trajectory	NOUN
ap-1442	91	8	of	of	ADP
ap-1442	91	9	y	y	PROPN
ap-1442	91	10	and	and	CCONJ
ap-1442	91	11	the	the	DET
ap-1442	91	12	set	set	NOUN
ap-1442	91	13	of	of	ADP
ap-1442	91	14	its	its	PRON
ap-1442	91	15	points	point	NOUN
ap-1442	91	16	is	be	AUX
ap-1442	91	17	called	call	VERB
ap-1442	91	18	the	the	DET
ap-1442	91	19	orbit	orbit	NOUN
ap-1442	91	20	of	of	ADP
ap-1442	91	21	y.	y.	PROPN
ap-1442	91	22	these	these	DET
ap-1442	91	23	two	two	NUM
ap-1442	91	24	terms	term	NOUN
ap-1442	91	25	are	be	AUX
ap-1442	91	26	often	often	ADV
ap-1442	91	27	used	use	VERB
ap-1442	91	28	interchangeably	interchangeably	ADV
ap-1442	91	29	,	,	PUNCT
ap-1442	91	30	although	although	SCONJ
ap-1442	91	31	we	we	PRON
ap-1442	91	32	will	will	AUX
ap-1442	91	33	remain	remain	VERB
ap-1442	91	34	consistent	consistent	ADJ
ap-1442	91	35	in	in	ADP
ap-1442	91	36	their	their	PRON
ap-1442	91	37	usage	usage	NOUN
ap-1442	91	38	.	.	PUNCT
ap-1442	92	1	the	the	DET
ap-1442	92	2	set	set	VERB
ap-1442	92	3	y	y	PROPN
ap-1442	92	4	in	in	ADP
ap-1442	92	5	which	which	PRON
ap-1442	92	6	the	the	DET
ap-1442	92	7	states	state	NOUN
ap-1442	92	8	of	of	ADP
ap-1442	92	9	the	the	DET
ap-1442	92	10	system	system	NOUN
ap-1442	92	11	exist	exist	VERB
ap-1442	92	12	is	be	AUX
ap-1442	92	13	referred	refer	VERB
ap-1442	92	14	to	to	ADP
ap-1442	92	15	as	as	ADP
ap-1442	92	16	the	the	DET
ap-1442	92	17	phase	phase	NOUN
ap-1442	92	18	space	space	NOUN
ap-1442	92	19	or	or	CCONJ
ap-1442	92	20	state	state	NOUN
ap-1442	92	21	space	space	NOUN
ap-1442	92	22	.	.	PUNCT
ap-1442	93	1	we	we	PRON
ap-1442	93	2	will	will	AUX
ap-1442	93	3	restrict	restrict	VERB
ap-1442	93	4	our	our	PRON
ap-1442	93	5	attention	attention	NOUN
ap-1442	93	6	to	to	ADP
ap-1442	93	7	maps	map	NOUN
ap-1442	93	8	φ(y	φ(y	PROPN
ap-1442	93	9	)	)	PUNCT
ap-1442	93	10	such	such	ADJ
ap-1442	93	11	that	that	SCONJ
ap-1442	93	12	y	y	PROPN
ap-1442	93	13	is	be	AUX
ap-1442	93	14	a	a	DET
ap-1442	93	15	subset	subset	NOUN
ap-1442	93	16	of	of	ADP
ap-1442	93	17	rd	rd	PROPN
ap-1442	93	18	.	.	PROPN
ap-1442	93	19	3.2	3.2	NUM
ap-1442	93	20	one	one	NUM
ap-1442	93	21	-	-	PUNCT
ap-1442	93	22	dimensional	dimensional	ADJ
ap-1442	93	23	discrete	discrete	ADJ
ap-1442	93	24	dynamical	dynamical	ADJ
ap-1442	93	25	system	system	NOUN
ap-1442	93	26	the	the	DET
ap-1442	93	27	one	one	NUM
ap-1442	93	28	-	-	PUNCT
ap-1442	93	29	dimensional	dimensional	ADJ
ap-1442	93	30	discrete	discrete	ADJ
ap-1442	93	31	system	system	NOUN
ap-1442	93	32	is	be	AUX
ap-1442	93	33	yt+1	yt+1	NUM
ap-1442	93	34	=	=	SYM
ap-1442	93	35	f(yt	f(yt	NOUN
ap-1442	93	36	)	)	PUNCT
ap-1442	93	37	yt	yt	PROPN
ap-1442	93	38	∈	∈	PROPN
ap-1442	93	39	�	�	PROPN
ap-1442	93	40	(	(	PUNCT
ap-1442	93	41	16	16	NUM
ap-1442	93	42	)	)	PUNCT
ap-1442	93	43	one	one	NUM
ap-1442	93	44	-	-	PUNCT
ap-1442	93	45	dimensional	dimensional	ADJ
ap-1442	93	46	,	,	PUNCT
ap-1442	93	47	discrete	discrete	ADJ
ap-1442	93	48	dynamical	dynamical	ADJ
ap-1442	93	49	systems	system	NOUN
ap-1442	93	50	in	in	ADP
ap-1442	93	51	economics	economic	NOUN
ap-1442	93	52	are	be	AUX
ap-1442	93	53	surely	surely	ADV
ap-1442	93	54	suited	suit	VERB
ap-1442	93	55	for	for	ADP
ap-1442	93	56	demonstrating	demonstrate	VERB
ap-1442	93	57	the	the	DET
ap-1442	93	58	relative	relative	ADJ
ap-1442	93	59	easy	easy	ADJ
ap-1442	93	60	with	with	ADP
ap-1442	93	61	which	which	PRON
ap-1442	93	62	complex	complex	ADJ
ap-1442	93	63	behavior	behavior	NOUN
ap-1442	93	64	can	can	AUX
ap-1442	93	65	be	be	AUX
ap-1442	93	66	modeled	model	VERB
ap-1442	93	67	.	.	PUNCT
ap-1442	94	1	the	the	DET
ap-1442	94	2	mathematical	mathematical	ADJ
ap-1442	94	3	properties	property	NOUN
ap-1442	94	4	of	of	ADP
ap-1442	94	5	onedimensional	onedimensional	ADJ
ap-1442	94	6	dynamical	dynamical	ADJ
ap-1442	94	7	systems	system	NOUN
ap-1442	94	8	seem	seem	VERB
ap-1442	94	9	to	to	PART
ap-1442	94	10	be	be	AUX
ap-1442	94	11	better	well	ADV
ap-1442	94	12	understood	understand	VERB
ap-1442	94	13	than	than	ADP
ap-1442	94	14	higher	high	ADJ
ap-1442	94	15	-	-	PUNCT
ap-1442	94	16	dimensional	dimensional	ADJ
ap-1442	94	17	systems	system	NOUN
ap-1442	94	18	[	[	X
ap-1442	94	19	2	2	NUM
ap-1442	94	20	]	]	PUNCT
ap-1442	94	21	.	.	PUNCT
ap-1442	95	1	the	the	DET
ap-1442	95	2	logistic	logistic	ADJ
ap-1442	95	3	equation	equation	NOUN
ap-1442	95	4	is	be	AUX
ap-1442	95	5	a	a	DET
ap-1442	95	6	typical	typical	ADJ
ap-1442	95	7	example	example	NOUN
ap-1442	95	8	of	of	ADP
ap-1442	95	9	easy	easy	ADJ
ap-1442	95	10	one	one	NUM
ap-1442	95	11	-	-	PUNCT
ap-1442	95	12	dimensional	dimensional	ADJ
ap-1442	95	13	discrete	discrete	ADJ
ap-1442	95	14	dynamical	dynamical	ADJ
ap-1442	95	15	systems	system	NOUN
ap-1442	95	16	which	which	PRON
ap-1442	95	17	can	can	AUX
ap-1442	95	18	be	be	AUX
ap-1442	95	19	chaotic	chaotic	ADJ
ap-1442	95	20	.	.	PUNCT
ap-1442	96	1	yt+1	yt+1	NOUN
ap-1442	96	2	=	=	SYM
ap-1442	96	3	μyt(1−	μyt(1−	PROPN
ap-1442	96	4	yt	yt	PROPN
ap-1442	96	5	)	)	PUNCT
ap-1442	96	6	(	(	PUNCT
ap-1442	96	7	17	17	NUM
ap-1442	96	8	)	)	PUNCT
ap-1442	97	1	the	the	DET
ap-1442	97	2	logistic	logistic	ADJ
ap-1442	97	3	equation	equation	NOUN
ap-1442	97	4	has	have	AUX
ap-1442	97	5	been	be	AUX
ap-1442	97	6	described	describe	VERB
ap-1442	97	7	in	in	ADP
ap-1442	97	8	many	many	ADJ
ap-1442	97	9	books	book	NOUN
ap-1442	97	10	and	and	CCONJ
ap-1442	97	11	papers	paper	NOUN
ap-1442	98	1	e.g.	e.g.	ADV
ap-1442	98	2	[	[	X
ap-1442	98	3	1,2,6,9,10	1,2,6,9,10	NOUN
ap-1442	98	4	]	]	PUNCT
ap-1442	98	5	.	.	PUNCT
ap-1442	99	1	the	the	DET
ap-1442	99	2	logistic	logistic	ADJ
ap-1442	99	3	equation	equation	NOUN
ap-1442	99	4	is	be	AUX
ap-1442	99	5	chaotic	chaotic	ADJ
ap-1442	99	6	,	,	PUNCT
ap-1442	99	7	when	when	SCONJ
ap-1442	99	8	control	control	PROPN
ap-1442	99	9	parameter	parameter	PROPN
ap-1442	99	10	μ	μ	PROPN
ap-1442	99	11	is	be	AUX
ap-1442	99	12	between	between	ADP
ap-1442	99	13	3.569	3.569	NUM
ap-1442	99	14	9	9	NUM
ap-1442	99	15	.	.	PUNCT
ap-1442	99	16	.	.	PUNCT
ap-1442	100	1	.	.	PUNCT
ap-1442	101	1	and	and	CCONJ
ap-1442	101	2	4	4	NUM
ap-1442	101	3	.	.	NOUN
ap-1442	101	4	4	4	NUM
ap-1442	101	5	analysis	analysis	NOUN
ap-1442	101	6	of	of	ADP
ap-1442	101	7	gdp	gdp	NOUN
ap-1442	101	8	4.1	4.1	NUM
ap-1442	101	9	input	input	NOUN
ap-1442	101	10	data	datum	NOUN
ap-1442	101	11	the	the	DET
ap-1442	101	12	gross	gross	ADJ
ap-1442	101	13	domestic	domestic	ADJ
ap-1442	101	14	product	product	NOUN
ap-1442	101	15	by	by	ADP
ap-1442	101	16	type	type	NOUN
ap-1442	101	17	of	of	ADP
ap-1442	101	18	expenditure	expenditure	NOUN
ap-1442	101	19	in	in	ADP
ap-1442	101	20	current	current	ADJ
ap-1442	101	21	prices	price	NOUN
ap-1442	101	22	is	be	AUX
ap-1442	101	23	used	use	VERB
ap-1442	101	24	in	in	ADP
ap-1442	101	25	this	this	DET
ap-1442	101	26	paper	paper	NOUN
ap-1442	101	27	.	.	PUNCT
ap-1442	102	1	i	i	PRON
ap-1442	102	2	have	have	AUX
ap-1442	102	3	used	use	VERB
ap-1442	102	4	data	datum	NOUN
ap-1442	102	5	(	(	PUNCT
ap-1442	102	6	quarterly	quarterly	ADV
ap-1442	102	7	,	,	PUNCT
ap-1442	102	8	without	without	ADP
ap-1442	102	9	seasonal	seasonal	ADJ
ap-1442	102	10	adjustment	adjustment	NOUN
ap-1442	102	11	)	)	PUNCT
ap-1442	102	12	from	from	ADP
ap-1442	102	13	the	the	DET
ap-1442	102	14	czech	czech	ADJ
ap-1442	102	15	statistical	statistical	ADJ
ap-1442	102	16	office	office	NOUN
ap-1442	102	17	.	.	PUNCT
ap-1442	103	1	i	i	PRON
ap-1442	103	2	analyze	analyze	VERB
ap-1442	103	3	data	datum	NOUN
ap-1442	103	4	from	from	ADP
ap-1442	103	5	the	the	DET
ap-1442	103	6	czech	czech	PROPN
ap-1442	103	7	republic	republic	NOUN
ap-1442	103	8	between	between	ADP
ap-1442	103	9	1995	1995	NUM
ap-1442	103	10	and	and	CCONJ
ap-1442	103	11	2010	2010	NUM
ap-1442	104	1	[	[	X
ap-1442	104	2	11	11	NUM
ap-1442	104	3	]	]	PUNCT
ap-1442	104	4	.	.	PUNCT
ap-1442	105	1	fig	fig	NOUN
ap-1442	105	2	.	.	PUNCT
ap-1442	106	1	1	1	NUM
ap-1442	106	2	:	:	PUNCT
ap-1442	106	3	gdp	gdp	NOUN
ap-1442	106	4	with	with	ADP
ap-1442	106	5	linear	linear	ADJ
ap-1442	106	6	trend	trend	NOUN
ap-1442	106	7	of	of	ADP
ap-1442	106	8	gdp	gdp	NOUN
ap-1442	106	9	4.2	4.2	NUM
ap-1442	106	10	calculation	calculation	NOUN
ap-1442	106	11	of	of	ADP
ap-1442	106	12	h	h	NOUN
ap-1442	106	13	and	and	CCONJ
ap-1442	106	14	dc	dc	PROPN
ap-1442	106	15	the	the	DET
ap-1442	106	16	main	main	ADJ
ap-1442	106	17	problem	problem	NOUN
ap-1442	106	18	in	in	ADP
ap-1442	106	19	analyzing	analyze	VERB
ap-1442	106	20	gdp	gdp	NOUN
ap-1442	106	21	is	be	AUX
ap-1442	106	22	the	the	DET
ap-1442	106	23	lack	lack	NOUN
ap-1442	106	24	of	of	ADP
ap-1442	106	25	data	datum	NOUN
ap-1442	106	26	.	.	PUNCT
ap-1442	107	1	therefore	therefore	ADV
ap-1442	107	2	,	,	PUNCT
ap-1442	107	3	all	all	DET
ap-1442	107	4	results	result	NOUN
ap-1442	107	5	are	be	AUX
ap-1442	107	6	only	only	ADV
ap-1442	107	7	estimates	estimate	NOUN
ap-1442	107	8	.	.	PUNCT
ap-1442	108	1	i	i	PRON
ap-1442	108	2	have	have	AUX
ap-1442	108	3	computed	compute	VERB
ap-1442	108	4	the	the	DET
ap-1442	108	5	hurst	hurst	PROPN
ap-1442	108	6	exponent	exponent	NOUN
ap-1442	108	7	for	for	ADP
ap-1442	108	8	gdp	gdp	NOUN
ap-1442	108	9	h	h	PROPN
ap-1442	108	10	=	=	NOUN
ap-1442	108	11	0.75	0.75	NUM
ap-1442	108	12	according	accord	VERB
ap-1442	108	13	to	to	ADP
ap-1442	108	14	the	the	DET
ap-1442	108	15	algorithm	algorithm	NOUN
ap-1442	108	16	in	in	ADP
ap-1442	108	17	chapter	chapter	NOUN
ap-1442	108	18	2.2	2.2	NUM
ap-1442	108	19	.	.	PUNCT
ap-1442	109	1	this	this	DET
ap-1442	109	2	value	value	NOUN
ap-1442	109	3	is	be	AUX
ap-1442	109	4	in	in	ADP
ap-1442	109	5	accordance	accordance	NOUN
ap-1442	109	6	with	with	ADP
ap-1442	109	7	expectations	expectation	NOUN
ap-1442	109	8	.	.	PUNCT
ap-1442	110	1	we	we	PRON
ap-1442	110	2	know	know	VERB
ap-1442	110	3	that	that	SCONJ
ap-1442	110	4	the	the	DET
ap-1442	110	5	value	value	NOUN
ap-1442	110	6	of	of	ADP
ap-1442	110	7	h	h	NOUN
ap-1442	110	8	is	be	AUX
ap-1442	110	9	between	between	ADP
ap-1442	110	10	0	0	NUM
ap-1442	110	11	and	and	CCONJ
ap-1442	110	12	1	1	NUM
ap-1442	110	13	,	,	PUNCT
ap-1442	110	14	whilst	whilst	SCONJ
ap-1442	110	15	real	real	ADJ
ap-1442	110	16	time	time	NOUN
ap-1442	110	17	series	series	NOUN
ap-1442	110	18	are	be	AUX
ap-1442	110	19	usually	usually	ADV
ap-1442	110	20	higher	high	ADJ
ap-1442	110	21	than	than	ADP
ap-1442	110	22	0.5	0.5	NUM
ap-1442	110	23	.	.	PUNCT
ap-1442	111	1	if	if	SCONJ
ap-1442	111	2	the	the	DET
ap-1442	111	3	exponent	exponent	NOUN
ap-1442	111	4	value	value	NOUN
ap-1442	111	5	is	be	AUX
ap-1442	111	6	close	close	ADJ
ap-1442	111	7	to	to	ADP
ap-1442	111	8	0	0	NUM
ap-1442	111	9	or	or	CCONJ
ap-1442	111	10	1	1	NUM
ap-1442	111	11	,	,	PUNCT
ap-1442	111	12	it	it	PRON
ap-1442	111	13	means	mean	VERB
ap-1442	111	14	that	that	SCONJ
ap-1442	111	15	the	the	DET
ap-1442	111	16	time	time	NOUN
ap-1442	111	17	-	-	PUNCT
ap-1442	111	18	series	series	NOUN
ap-1442	111	19	has	have	VERB
ap-1442	111	20	long	long	ADJ
ap-1442	111	21	-	-	PUNCT
ap-1442	111	22	range	range	NOUN
ap-1442	111	23	dependence	dependence	NOUN
ap-1442	111	24	.	.	PUNCT
ap-1442	112	1	value	value	NOUN
ap-1442	112	2	0.75	0.75	NUM
ap-1442	112	3	is	be	AUX
ap-1442	112	4	directly	directly	ADV
ap-1442	112	5	between	between	ADP
ap-1442	112	6	the	the	DET
ap-1442	112	7	stochastic	stochastic	ADJ
ap-1442	112	8	and	and	CCONJ
ap-1442	112	9	deterministic	deterministic	ADJ
ap-1442	112	10	process	process	NOUN
ap-1442	112	11	.	.	PUNCT
ap-1442	113	1	i	i	PRON
ap-1442	113	2	think	think	VERB
ap-1442	113	3	that	that	SCONJ
ap-1442	113	4	0.75	0.75	NUM
ap-1442	113	5	value	value	NOUN
ap-1442	113	6	is	be	AUX
ap-1442	113	7	a	a	DET
ap-1442	113	8	sufficient	sufficient	ADJ
ap-1442	113	9	value	value	NOUN
ap-1442	113	10	for	for	ADP
ap-1442	113	11	credible	credible	ADJ
ap-1442	113	12	prediction	prediction	NOUN
ap-1442	113	13	.	.	PUNCT
ap-1442	114	1	now	now	ADV
ap-1442	114	2	we	we	PRON
ap-1442	114	3	also	also	ADV
ap-1442	114	4	know	know	VERB
ap-1442	114	5	the	the	DET
ap-1442	114	6	fractal	fractal	ADJ
ap-1442	114	7	dimension	dimension	NOUN
ap-1442	114	8	2−	2−	NUM
ap-1442	114	9	0.75	0.75	NUM
ap-1442	114	10	=	=	SYM
ap-1442	114	11	1.25	1.25	NUM
ap-1442	114	12	.	.	PUNCT
ap-1442	115	1	fig	fig	NOUN
ap-1442	115	2	.	.	PUNCT
ap-1442	116	1	2	2	NUM
ap-1442	116	2	:	:	PUNCT
ap-1442	116	3	correlation	correlation	NOUN
ap-1442	116	4	integral	integral	ADJ
ap-1442	116	5	,	,	PUNCT
ap-1442	116	6	value	value	NOUN
ap-1442	116	7	with	with	ADP
ap-1442	116	8	a	a	DET
ap-1442	116	9	linear	linear	ADJ
ap-1442	116	10	trend	trend	NOUN
ap-1442	116	11	65	65	NUM
ap-1442	116	12	acta	acta	PROPN
ap-1442	116	13	polytechnica	polytechnica	PROPN
ap-1442	116	14	vol	vol	NOUN
ap-1442	116	15	.	.	PUNCT
ap-1442	117	1	51	51	NUM
ap-1442	117	2	no	no	NOUN
ap-1442	117	3	.	.	PUNCT
ap-1442	118	1	5/2011	5/2011	NUM
ap-1442	118	2	the	the	DET
ap-1442	118	3	correlation	correlation	NOUN
ap-1442	118	4	dimension	dimension	NOUN
ap-1442	118	5	is	be	AUX
ap-1442	118	6	calculated	calculate	VERB
ap-1442	118	7	using	use	VERB
ap-1442	118	8	the	the	DET
ap-1442	118	9	fundamental	fundamental	ADJ
ap-1442	118	10	definition	definition	NOUN
ap-1442	118	11	in	in	ADP
ap-1442	118	12	section	section	NOUN
ap-1442	118	13	2.4	2.4	NUM
ap-1442	118	14	.	.	PUNCT
ap-1442	119	1	we	we	PRON
ap-1442	119	2	have	have	AUX
ap-1442	119	3	had	have	VERB
ap-1442	119	4	a	a	DET
ap-1442	119	5	problem	problem	NOUN
ap-1442	119	6	with	with	ADP
ap-1442	119	7	lack	lack	NOUN
ap-1442	119	8	of	of	ADP
ap-1442	119	9	data	datum	NOUN
ap-1442	119	10	for	for	ADP
ap-1442	119	11	this	this	DET
ap-1442	119	12	computing	computing	NOUN
ap-1442	119	13	.	.	PUNCT
ap-1442	120	1	i	i	PRON
ap-1442	120	2	have	have	AUX
ap-1442	120	3	put	put	VERB
ap-1442	120	4	the	the	DET
ap-1442	120	5	calculated	calculate	VERB
ap-1442	120	6	data	datum	NOUN
ap-1442	120	7	into	into	ADP
ap-1442	120	8	a	a	DET
ap-1442	120	9	graph	graph	NOUN
ap-1442	120	10	in	in	ADP
ap-1442	120	11	logarithmic	logarithmic	ADJ
ap-1442	120	12	coordinates	coordinate	NOUN
ap-1442	120	13	,	,	PUNCT
ap-1442	120	14	and	and	CCONJ
ap-1442	120	15	i	i	PRON
ap-1442	120	16	have	have	AUX
ap-1442	120	17	made	make	VERB
ap-1442	120	18	a	a	DET
ap-1442	120	19	linear	linear	ADJ
ap-1442	120	20	interpolation	interpolation	NOUN
ap-1442	120	21	.	.	PUNCT
ap-1442	121	1	(	(	PUNCT
ap-1442	121	2	cf	cf	X
ap-1442	121	3	.	.	PUNCT
ap-1442	121	4	figure	figure	NOUN
ap-1442	121	5	2	2	NUM
ap-1442	121	6	)	)	PUNCT
ap-1442	121	7	.	.	PUNCT
ap-1442	122	1	on	on	ADP
ap-1442	122	2	this	this	DET
ap-1442	122	3	basis	basis	NOUN
ap-1442	122	4	,	,	PUNCT
ap-1442	122	5	the	the	DET
ap-1442	122	6	correlation	correlation	NOUN
ap-1442	122	7	dimension	dimension	NOUN
ap-1442	122	8	for	for	ADP
ap-1442	122	9	the	the	DET
ap-1442	122	10	small	small	ADJ
ap-1442	122	11	value	value	NOUN
ap-1442	122	12	of	of	ADP
ap-1442	122	13	r	r	NOUN
ap-1442	122	14	can	can	AUX
ap-1442	122	15	be	be	AUX
ap-1442	122	16	estimated	estimate	VERB
ap-1442	122	17	.	.	PUNCT
ap-1442	123	1	the	the	DET
ap-1442	123	2	estimate	estimate	NOUN
ap-1442	123	3	of	of	ADP
ap-1442	123	4	the	the	DET
ap-1442	123	5	correlation	correlation	NOUN
ap-1442	123	6	dimension	dimension	NOUN
ap-1442	123	7	is	be	AUX
ap-1442	123	8	a	a	DET
ap-1442	123	9	value	value	NOUN
ap-1442	123	10	lower	low	ADJ
ap-1442	123	11	than	than	ADP
ap-1442	123	12	2	2	NUM
ap-1442	123	13	.	.	PUNCT
ap-1442	124	1	if	if	SCONJ
ap-1442	124	2	the	the	DET
ap-1442	124	3	correlation	correlation	NOUN
ap-1442	124	4	dimension	dimension	NOUN
ap-1442	124	5	is	be	AUX
ap-1442	124	6	low	low	ADJ
ap-1442	124	7	,	,	PUNCT
ap-1442	124	8	the	the	DET
ap-1442	124	9	lyapunov	lyapunov	ADJ
ap-1442	124	10	exponent	exponent	NOUN
ap-1442	124	11	is	be	AUX
ap-1442	124	12	positive	positive	ADJ
ap-1442	124	13	and	and	CCONJ
ap-1442	124	14	the	the	DET
ap-1442	124	15	kolmogorov	kolmogorov	ADJ
ap-1442	124	16	entropy	entropy	NOUN
ap-1442	124	17	has	have	VERB
ap-1442	124	18	a	a	DET
ap-1442	124	19	finite	finite	ADJ
ap-1442	124	20	positive	positive	ADJ
ap-1442	124	21	value	value	NOUN
ap-1442	124	22	,	,	PUNCT
ap-1442	124	23	chaos	chaos	NOUN
ap-1442	124	24	is	be	AUX
ap-1442	124	25	probably	probably	ADV
ap-1442	124	26	present	present	ADJ
ap-1442	124	27	.	.	PUNCT
ap-1442	125	1	from	from	ADP
ap-1442	125	2	estimates	estimate	NOUN
ap-1442	125	3	h	h	NOUN
ap-1442	125	4	and	and	CCONJ
ap-1442	125	5	dc	dc	PROPN
ap-1442	125	6	it	it	PRON
ap-1442	125	7	can	can	AUX
ap-1442	125	8	be	be	AUX
ap-1442	125	9	concluded	conclude	VERB
ap-1442	125	10	that	that	SCONJ
ap-1442	125	11	gdp	gdp	NOUN
ap-1442	125	12	is	be	AUX
ap-1442	125	13	a	a	DET
ap-1442	125	14	deterministic	deterministic	ADJ
ap-1442	125	15	chaos	chaos	NOUN
ap-1442	125	16	.	.	PUNCT
ap-1442	126	1	4.3	4.3	NUM
ap-1442	126	2	analyzing	analyze	VERB
ap-1442	126	3	in	in	ADP
ap-1442	126	4	phase	phase	NOUN
ap-1442	126	5	space	space	NOUN
ap-1442	126	6	in	in	ADP
ap-1442	126	7	the	the	DET
ap-1442	126	8	previous	previous	ADJ
ap-1442	126	9	section	section	NOUN
ap-1442	126	10	(	(	PUNCT
ap-1442	126	11	section	section	NOUN
ap-1442	126	12	4.2	4.2	NUM
ap-1442	126	13	)	)	PUNCT
ap-1442	126	14	we	we	PRON
ap-1442	126	15	verified	verify	VERB
ap-1442	126	16	the	the	DET
ap-1442	126	17	presence	presence	NOUN
ap-1442	126	18	of	of	ADP
ap-1442	126	19	chaos	chaos	NOUN
ap-1442	126	20	in	in	ADP
ap-1442	126	21	gdp	gdp	PROPN
ap-1442	126	22	.	.	PROPN
ap-1442	127	1	data	data	PROPN
ap-1442	127	2	with	with	ADP
ap-1442	127	3	a	a	DET
ap-1442	127	4	trend	trend	NOUN
ap-1442	127	5	can	can	AUX
ap-1442	127	6	cause	cause	VERB
ap-1442	127	7	problems	problem	NOUN
ap-1442	127	8	for	for	ADP
ap-1442	127	9	future	future	ADJ
ap-1442	127	10	analysis	analysis	NOUN
ap-1442	127	11	.	.	PUNCT
ap-1442	128	1	the	the	DET
ap-1442	128	2	trend	trend	NOUN
ap-1442	128	3	is	be	AUX
ap-1442	128	4	removed	remove	VERB
ap-1442	128	5	by	by	ADP
ap-1442	128	6	subtracting	subtract	VERB
ap-1442	128	7	the	the	DET
ap-1442	128	8	linear	linear	ADJ
ap-1442	128	9	interpolation	interpolation	NOUN
ap-1442	128	10	.	.	PUNCT
ap-1442	129	1	denote	denote	PROPN
ap-1442	129	2	gdp	gdp	NOUN
ap-1442	129	3	without	without	ADP
ap-1442	129	4	trend	trend	NOUN
ap-1442	129	5	as	as	ADP
ap-1442	129	6	y	y	PROPN
ap-1442	129	7	(	(	PUNCT
ap-1442	129	8	t	t	PROPN
ap-1442	129	9	)	)	PUNCT
ap-1442	129	10	.	.	PUNCT
ap-1442	130	1	fig	fig	NOUN
ap-1442	130	2	.	.	PUNCT
ap-1442	131	1	3	3	NUM
ap-1442	131	2	:	:	PUNCT
ap-1442	131	3	gdp	gdp	NOUN
ap-1442	131	4	without	without	ADP
ap-1442	131	5	trend	trend	NOUN
ap-1442	131	6	fig	fig	NOUN
ap-1442	131	7	.	.	PUNCT
ap-1442	132	1	4	4	NUM
ap-1442	132	2	:	:	PUNCT
ap-1442	132	3	gdp	gdp	NOUN
ap-1442	132	4	in	in	ADP
ap-1442	132	5	phase	phase	NOUN
ap-1442	132	6	space	space	NOUN
ap-1442	132	7	a	a	DET
ap-1442	132	8	phase	phase	NOUN
ap-1442	132	9	portrait	portrait	NOUN
ap-1442	132	10	2d	2d	NUM
ap-1442	132	11	of	of	ADP
ap-1442	132	12	gdp	gdp	NOUN
ap-1442	132	13	is	be	AUX
ap-1442	132	14	constructed	construct	VERB
ap-1442	132	15	so	so	SCONJ
ap-1442	132	16	that	that	SCONJ
ap-1442	132	17	each	each	DET
ap-1442	132	18	ordered	order	VERB
ap-1442	132	19	pair	pair	NOUN
ap-1442	132	20	of	of	ADP
ap-1442	132	21	{	{	PUNCT
ap-1442	132	22	yt;yt−1	yt;yt−1	PROPN
ap-1442	132	23	,	,	PUNCT
ap-1442	132	24	t	t	NOUN
ap-1442	132	25	=	=	SYM
ap-1442	132	26	2	2	NUM
ap-1442	132	27	,	,	PUNCT
ap-1442	132	28	.	.	PUNCT
ap-1442	132	29	.	.	PUNCT
ap-1442	133	1	.	.	PUNCT
ap-1442	134	1	,	,	PUNCT
ap-1442	134	2	n	n	CCONJ
ap-1442	134	3	}	}	PUNCT
ap-1442	134	4	is	be	AUX
ap-1442	134	5	displayed	display	VERB
ap-1442	134	6	in	in	ADP
ap-1442	134	7	the	the	DET
ap-1442	134	8	plane	plane	NOUN
ap-1442	134	9	where	where	SCONJ
ap-1442	134	10	the	the	DET
ap-1442	134	11	x	x	NOUN
ap-1442	134	12	-	-	NOUN
ap-1442	134	13	axis	axis	NOUN
ap-1442	134	14	represents	represent	VERB
ap-1442	134	15	the	the	DET
ap-1442	134	16	values	value	NOUN
ap-1442	134	17	of	of	ADP
ap-1442	134	18	yt	yt	PROPN
ap-1442	134	19	and	and	CCONJ
ap-1442	134	20	y	y	NOUN
ap-1442	134	21	-	-	PUNCT
ap-1442	134	22	axis	axis	NOUN
ap-1442	134	23	value	value	NOUN
ap-1442	134	24	yt−1	yt−1	PROPN
ap-1442	134	25	(	(	PUNCT
ap-1442	134	26	cf	cf	NOUN
ap-1442	134	27	.	.	PUNCT
ap-1442	135	1	figure	figure	NOUN
ap-1442	135	2	4	4	NUM
ap-1442	135	3	)	)	PUNCT
ap-1442	135	4	.	.	PUNCT
ap-1442	136	1	the	the	DET
ap-1442	136	2	individual	individual	ADJ
ap-1442	136	3	points	point	NOUN
ap-1442	136	4	{	{	PUNCT
ap-1442	136	5	yt;yt−1	yt;yt−1	NOUN
ap-1442	136	6	}	}	PUNCT
ap-1442	136	7	of	of	ADP
ap-1442	136	8	phase	phase	NOUN
ap-1442	136	9	space	space	NOUN
ap-1442	136	10	are	be	AUX
ap-1442	136	11	connected	connect	VERB
ap-1442	136	12	by	by	ADP
ap-1442	136	13	a	a	DET
ap-1442	136	14	smooth	smooth	ADJ
ap-1442	136	15	curve	curve	NOUN
ap-1442	136	16	.	.	PUNCT
ap-1442	137	1	this	this	DET
ap-1442	137	2	curve	curve	NOUN
ap-1442	137	3	looks	look	VERB
ap-1442	137	4	like	like	ADP
ap-1442	137	5	a	a	DET
ap-1442	137	6	chaotic	chaotic	ADJ
ap-1442	137	7	attractor	attractor	NOUN
ap-1442	137	8	.	.	PUNCT
ap-1442	138	1	the	the	DET
ap-1442	138	2	points	point	NOUN
ap-1442	138	3	are	be	AUX
ap-1442	138	4	located	locate	VERB
ap-1442	138	5	mainly	mainly	ADV
ap-1442	138	6	in	in	ADP
ap-1442	138	7	the	the	DET
ap-1442	138	8	first	first	ADJ
ap-1442	138	9	and	and	CCONJ
ap-1442	138	10	third	third	ADJ
ap-1442	138	11	quadrant	quadrant	NOUN
ap-1442	138	12	.	.	PUNCT
ap-1442	139	1	the	the	DET
ap-1442	139	2	phase	phase	NOUN
ap-1442	139	3	portrait	portrait	NOUN
ap-1442	139	4	3d	3d	NUM
ap-1442	139	5	of	of	ADP
ap-1442	139	6	gdp	gdp	NOUN
ap-1442	139	7	is	be	AUX
ap-1442	139	8	constructed	construct	VERB
ap-1442	139	9	so	so	SCONJ
ap-1442	139	10	that	that	SCONJ
ap-1442	139	11	each	each	DET
ap-1442	139	12	ordered	order	VERB
ap-1442	139	13	trio	trio	NOUN
ap-1442	139	14	of	of	ADP
ap-1442	139	15	{	{	PUNCT
ap-1442	139	16	yt;yt−1	yt;yt−1	PROPN
ap-1442	139	17	,	,	PUNCT
ap-1442	139	18	yt−2	yt−2	PROPN
ap-1442	139	19	,	,	PUNCT
ap-1442	139	20	t	t	NOUN
ap-1442	139	21	=	=	SYM
ap-1442	139	22	3	3	NUM
ap-1442	139	23	,	,	PUNCT
ap-1442	139	24	.	.	PUNCT
ap-1442	139	25	.	.	PUNCT
ap-1442	140	1	.	.	PUNCT
ap-1442	141	1	,	,	PUNCT
ap-1442	141	2	n	n	CCONJ
ap-1442	141	3	}	}	PUNCT
ap-1442	141	4	is	be	AUX
ap-1442	141	5	displayed	display	VERB
ap-1442	141	6	in	in	ADP
ap-1442	141	7	the	the	DET
ap-1442	141	8	space	space	NOUN
ap-1442	141	9	.	.	PUNCT
ap-1442	142	1	the	the	DET
ap-1442	142	2	individual	individual	ADJ
ap-1442	142	3	points	point	NOUN
ap-1442	142	4	{	{	PUNCT
ap-1442	142	5	yt;yt−1	yt;yt−1	ADJ
ap-1442	142	6	,	,	PUNCT
ap-1442	142	7	yt−2	yt−2	PROPN
ap-1442	142	8	}	}	PUNCT
ap-1442	142	9	of	of	ADP
ap-1442	142	10	3d	3d	NUM
ap-1442	142	11	phase	phase	NOUN
ap-1442	142	12	space	space	NOUN
ap-1442	142	13	are	be	AUX
ap-1442	142	14	connected	connect	VERB
ap-1442	142	15	by	by	ADP
ap-1442	142	16	a	a	DET
ap-1442	142	17	line	line	NOUN
ap-1442	142	18	(	(	PUNCT
ap-1442	142	19	cf	cf	NOUN
ap-1442	142	20	.	.	PUNCT
ap-1442	143	1	figure	figure	NOUN
ap-1442	143	2	5	5	NUM
ap-1442	143	3	)	)	PUNCT
ap-1442	143	4	or	or	CCONJ
ap-1442	143	5	covered	cover	VERB
ap-1442	143	6	by	by	ADP
ap-1442	143	7	a	a	DET
ap-1442	143	8	surface	surface	NOUN
ap-1442	143	9	(	(	PUNCT
ap-1442	143	10	cf	cf	NOUN
ap-1442	143	11	.	.	PUNCT
ap-1442	143	12	figure	figure	NOUN
ap-1442	143	13	6	6	NUM
ap-1442	143	14	)	)	PUNCT
ap-1442	143	15	.	.	PUNCT
ap-1442	144	1	figure	figure	NOUN
ap-1442	144	2	6	6	NUM
ap-1442	144	3	looks	look	VERB
ap-1442	144	4	very	very	ADV
ap-1442	144	5	strange	strange	ADJ
ap-1442	144	6	.	.	PUNCT
ap-1442	145	1	fig	fig	NOUN
ap-1442	145	2	.	.	PUNCT
ap-1442	146	1	5	5	NUM
ap-1442	146	2	:	:	PUNCT
ap-1442	146	3	gdp	gdp	NOUN
ap-1442	146	4	in	in	ADP
ap-1442	146	5	3d	3d	NUM
ap-1442	146	6	phase	phase	NOUN
ap-1442	146	7	space	space	NOUN
ap-1442	146	8	(	(	PUNCT
ap-1442	146	9	yt	yt	PROPN
ap-1442	146	10	,	,	PUNCT
ap-1442	146	11	yt−1	yt−1	PROPN
ap-1442	146	12	,	,	PUNCT
ap-1442	146	13	yt−2	yt−2	NOUN
ap-1442	146	14	)	)	PUNCT
ap-1442	146	15	fig	fig	NOUN
ap-1442	146	16	.	.	PUNCT
ap-1442	147	1	6	6	NUM
ap-1442	147	2	:	:	PUNCT
ap-1442	147	3	gdp	gdp	NOUN
ap-1442	147	4	in	in	ADP
ap-1442	147	5	3d	3d	NUM
ap-1442	147	6	phase	phase	NOUN
ap-1442	147	7	space	space	NOUN
ap-1442	147	8	(	(	PUNCT
ap-1442	147	9	yt	yt	PROPN
ap-1442	147	10	,	,	PUNCT
ap-1442	147	11	yt−1	yt−1	PROPN
ap-1442	147	12	,	,	PUNCT
ap-1442	147	13	yt−2	yt−2	NOUN
ap-1442	147	14	)	)	PUNCT
ap-1442	147	15	5	5	NUM
ap-1442	147	16	gdp	gdp	NOUN
ap-1442	147	17	as	as	ADP
ap-1442	147	18	a	a	DET
ap-1442	147	19	dynamical	dynamical	ADJ
ap-1442	147	20	system	system	NOUN
ap-1442	147	21	i	i	PRON
ap-1442	147	22	have	have	AUX
ap-1442	147	23	tried	try	VERB
ap-1442	147	24	to	to	PART
ap-1442	147	25	find	find	VERB
ap-1442	147	26	a	a	DET
ap-1442	147	27	system	system	NOUN
ap-1442	147	28	that	that	PRON
ap-1442	147	29	will	will	AUX
ap-1442	147	30	be	be	AUX
ap-1442	147	31	similar	similar	ADJ
ap-1442	147	32	to	to	ADP
ap-1442	147	33	gdp	gdp	NOUN
ap-1442	147	34	,	,	PUNCT
ap-1442	147	35	based	base	VERB
ap-1442	147	36	on	on	ADP
ap-1442	147	37	the	the	DET
ap-1442	147	38	previous	previous	ADJ
ap-1442	147	39	analysis	analysis	NOUN
ap-1442	147	40	.	.	PUNCT
ap-1442	148	1	66	66	NUM
ap-1442	148	2	acta	acta	PROPN
ap-1442	148	3	polytechnica	polytechnica	PROPN
ap-1442	148	4	vol	vol	NOUN
ap-1442	148	5	.	.	PUNCT
ap-1442	149	1	51	51	NUM
ap-1442	149	2	no	no	NOUN
ap-1442	149	3	.	.	PUNCT
ap-1442	150	1	5/2011	5/2011	NUM
ap-1442	150	2	5.1	5.1	NUM
ap-1442	150	3	comparison	comparison	NOUN
ap-1442	150	4	of	of	ADP
ap-1442	150	5	gdp	gdp	NOUN
ap-1442	150	6	with	with	ADP
ap-1442	150	7	an	an	DET
ap-1442	150	8	one	one	NUM
ap-1442	150	9	-	-	PUNCT
ap-1442	150	10	dimensional	dimensional	ADJ
ap-1442	150	11	discrete	discrete	ADJ
ap-1442	150	12	dynamical	dynamical	ADJ
ap-1442	150	13	system	system	NOUN
ap-1442	150	14	chaotic	chaotic	ADJ
ap-1442	150	15	course	course	NOUN
ap-1442	150	16	yt	yt	NOUN
ap-1442	150	17	can	can	AUX
ap-1442	150	18	be	be	AUX
ap-1442	150	19	immediately	immediately	ADV
ap-1442	150	20	simulated	simulate	VERB
ap-1442	150	21	by	by	ADP
ap-1442	150	22	a	a	DET
ap-1442	150	23	logistic	logistic	ADJ
ap-1442	150	24	equation	equation	NOUN
ap-1442	150	25	,	,	PUNCT
ap-1442	150	26	but	but	CCONJ
ap-1442	150	27	a	a	DET
ap-1442	150	28	progression	progression	NOUN
ap-1442	150	29	in	in	ADP
ap-1442	150	30	the	the	DET
ap-1442	150	31	phase	phase	NOUN
ap-1442	150	32	space	space	NOUN
ap-1442	150	33	is	be	AUX
ap-1442	150	34	completely	completely	ADV
ap-1442	150	35	different	different	ADJ
ap-1442	150	36	.	.	PUNCT
ap-1442	151	1	a	a	DET
ap-1442	151	2	logistic	logistic	ADJ
ap-1442	151	3	equation	equation	NOUN
ap-1442	151	4	can	can	AUX
ap-1442	151	5	be	be	AUX
ap-1442	151	6	appropriate	appropriate	ADJ
ap-1442	151	7	for	for	ADP
ap-1442	151	8	simulation	simulation	NOUN
ap-1442	151	9	,	,	PUNCT
ap-1442	151	10	but	but	CCONJ
ap-1442	151	11	not	not	PART
ap-1442	151	12	for	for	ADP
ap-1442	151	13	forecasting	forecasting	NOUN
ap-1442	151	14	.	.	PUNCT
ap-1442	152	1	if	if	SCONJ
ap-1442	152	2	we	we	PRON
ap-1442	152	3	consider	consider	VERB
ap-1442	152	4	a	a	DET
ap-1442	152	5	function	function	NOUN
ap-1442	152	6	,	,	PUNCT
ap-1442	152	7	it	it	PRON
ap-1442	152	8	should	should	AUX
ap-1442	152	9	be	be	AUX
ap-1442	152	10	an	an	DET
ap-1442	152	11	odd	odd	ADJ
ap-1442	152	12	function	function	NOUN
ap-1442	152	13	.	.	PUNCT
ap-1442	153	1	i	i	PRON
ap-1442	153	2	have	have	AUX
ap-1442	153	3	studied	study	VERB
ap-1442	153	4	several	several	ADJ
ap-1442	153	5	one	one	NUM
ap-1442	153	6	-	-	PUNCT
ap-1442	153	7	dimensional	dimensional	ADJ
ap-1442	153	8	systems	system	NOUN
ap-1442	153	9	with	with	ADP
ap-1442	153	10	a	a	DET
ap-1442	153	11	cubic	cubic	ADJ
ap-1442	153	12	function	function	NOUN
ap-1442	153	13	.	.	PUNCT
ap-1442	154	1	it	it	PRON
ap-1442	154	2	is	be	AUX
ap-1442	154	3	reasonable	reasonable	ADJ
ap-1442	154	4	to	to	PART
ap-1442	154	5	assume	assume	VERB
ap-1442	154	6	that	that	SCONJ
ap-1442	154	7	that	that	DET
ap-1442	154	8	function	function	NOUN
ap-1442	154	9	has	have	VERB
ap-1442	154	10	one	one	NUM
ap-1442	154	11	root	root	NOUN
ap-1442	154	12	0	0	NUM
ap-1442	154	13	.	.	PUNCT
ap-1442	155	1	the	the	DET
ap-1442	155	2	desired	desire	VERB
ap-1442	155	3	equation	equation	NOUN
ap-1442	155	4	can	can	AUX
ap-1442	155	5	be	be	AUX
ap-1442	155	6	written	write	VERB
ap-1442	155	7	in	in	ADP
ap-1442	155	8	the	the	DET
ap-1442	155	9	form	form	NOUN
ap-1442	155	10	:	:	PUNCT
ap-1442	155	11	yt+1	yt+1	PROPN
ap-1442	155	12	=	=	SYM
ap-1442	156	1	yt(αy2	yt(αy2	PROPN
ap-1442	156	2	t	t	NOUN
ap-1442	156	3	−	−	NOUN
ap-1442	156	4	β	β	NOUN
ap-1442	156	5	)	)	PUNCT
ap-1442	156	6	(	(	PUNCT
ap-1442	156	7	18	18	NUM
ap-1442	156	8	)	)	PUNCT
ap-1442	156	9	fig	fig	NOUN
ap-1442	156	10	.	.	PUNCT
ap-1442	157	1	7	7	NUM
ap-1442	157	2	:	:	PUNCT
ap-1442	157	3	cubic	cubic	ADJ
ap-1442	157	4	function	function	NOUN
ap-1442	157	5	:	:	PUNCT
ap-1442	157	6	plot	plot	NOUN
ap-1442	158	1	[	[	X
ap-1442	158	2	y^3	y^3	PROPN
ap-1442	158	3	-	-	PUNCT
ap-1442	158	4	2.8y	2.8y	NUM
ap-1442	158	5	,	,	PUNCT
ap-1442	158	6	y,-2,2	y,-2,2	NOUN
ap-1442	158	7	]	]	PUNCT
ap-1442	158	8	fig	fig	NOUN
ap-1442	158	9	.	.	PUNCT
ap-1442	159	1	8	8	NUM
ap-1442	159	2	:	:	PUNCT
ap-1442	159	3	bifurcation	bifurcation	NOUN
ap-1442	159	4	diagram	diagram	NOUN
ap-1442	159	5	of	of	ADP
ap-1442	159	6	function	function	NOUN
ap-1442	159	7	y3−by	y3−by	ADV
ap-1442	159	8	,	,	PUNCT
ap-1442	159	9	{	{	PUNCT
ap-1442	159	10	b	b	NOUN
ap-1442	159	11	,	,	PUNCT
ap-1442	159	12	2.25	2.25	NUM
ap-1442	159	13	,	,	PUNCT
ap-1442	159	14	3	3	NUM
ap-1442	159	15	}	}	PUNCT
ap-1442	159	16	fig	fig	NOUN
ap-1442	159	17	.	.	PUNCT
ap-1442	160	1	9	9	NUM
ap-1442	160	2	:	:	PUNCT
ap-1442	160	3	chaos	chaos	NOUN
ap-1442	160	4	in	in	ADP
ap-1442	160	5	cubic	cubic	ADJ
ap-1442	160	6	function	function	NOUN
ap-1442	160	7	yt+1	yt+1	NUM
ap-1442	161	1	=	=	SYM
ap-1442	161	2	y	y	PROPN
ap-1442	161	3	3	3	NUM
ap-1442	161	4	t	t	NOUN
ap-1442	161	5	−	−	PROPN
ap-1442	161	6	2.8yt	2.8yt	NUM
ap-1442	161	7	6	6	NUM
ap-1442	161	8	conclusion	conclusion	NOUN
ap-1442	161	9	i	i	PRON
ap-1442	161	10	have	have	AUX
ap-1442	161	11	shown	show	VERB
ap-1442	161	12	in	in	ADP
ap-1442	161	13	this	this	DET
ap-1442	161	14	paper	paper	NOUN
ap-1442	161	15	that	that	PRON
ap-1442	161	16	gdp	gdp	NOUN
ap-1442	161	17	can	can	AUX
ap-1442	161	18	be	be	AUX
ap-1442	161	19	chaotic	chaotic	ADJ
ap-1442	161	20	.	.	PUNCT
ap-1442	162	1	i	i	PRON
ap-1442	162	2	found	find	VERB
ap-1442	162	3	a	a	DET
ap-1442	162	4	very	very	ADV
ap-1442	162	5	simple	simple	ADJ
ap-1442	162	6	nonlinear	nonlinear	ADJ
ap-1442	162	7	differential	differential	ADJ
ap-1442	162	8	equation	equation	NOUN
ap-1442	162	9	which	which	PRON
ap-1442	162	10	properly	properly	ADV
ap-1442	162	11	captures	capture	VERB
ap-1442	162	12	gdp	gdp	NOUN
ap-1442	162	13	.	.	PUNCT
ap-1442	163	1	according	accord	VERB
ap-1442	163	2	to	to	ADP
ap-1442	163	3	the	the	DET
ap-1442	163	4	phase	phase	NOUN
ap-1442	163	5	portrait	portrait	NOUN
ap-1442	163	6	,	,	PUNCT
ap-1442	163	7	it	it	PRON
ap-1442	163	8	seems	seem	VERB
ap-1442	163	9	that	that	SCONJ
ap-1442	163	10	the	the	DET
ap-1442	163	11	function	function	NOUN
ap-1442	163	12	should	should	AUX
ap-1442	163	13	be	be	AUX
ap-1442	163	14	odd	odd	ADJ
ap-1442	163	15	.	.	PUNCT
ap-1442	164	1	the	the	DET
ap-1442	164	2	most	most	ADV
ap-1442	164	3	appropriate	appropriate	ADJ
ap-1442	164	4	function	function	NOUN
ap-1442	164	5	is	be	AUX
ap-1442	164	6	the	the	DET
ap-1442	164	7	cubic	cubic	ADJ
ap-1442	164	8	equation	equation	NOUN
ap-1442	164	9	with	with	ADP
ap-1442	164	10	a	a	DET
ap-1442	164	11	single	single	ADJ
ap-1442	164	12	zero	zero	NUM
ap-1442	164	13	root	root	NOUN
ap-1442	164	14	.	.	PUNCT
ap-1442	165	1	it	it	PRON
ap-1442	165	2	is	be	AUX
ap-1442	165	3	a	a	DET
ap-1442	165	4	simple	simple	ADJ
ap-1442	165	5	system	system	NOUN
ap-1442	165	6	that	that	PRON
ap-1442	165	7	is	be	AUX
ap-1442	165	8	easy	easy	ADJ
ap-1442	165	9	to	to	PART
ap-1442	165	10	interpret	interpret	VERB
ap-1442	165	11	.	.	PUNCT
ap-1442	166	1	it	it	PRON
ap-1442	166	2	should	should	AUX
ap-1442	166	3	be	be	AUX
ap-1442	166	4	noted	note	VERB
ap-1442	166	5	that	that	SCONJ
ap-1442	166	6	this	this	DET
ap-1442	166	7	system	system	NOUN
ap-1442	166	8	is	be	AUX
ap-1442	166	9	not	not	PART
ap-1442	166	10	perfect	perfect	ADJ
ap-1442	166	11	and	and	CCONJ
ap-1442	166	12	it	it	PRON
ap-1442	166	13	would	would	AUX
ap-1442	166	14	be	be	AUX
ap-1442	166	15	useful	useful	ADJ
ap-1442	166	16	to	to	PART
ap-1442	166	17	find	find	VERB
ap-1442	166	18	a	a	DET
ap-1442	166	19	set	set	NOUN
ap-1442	166	20	of	of	ADP
ap-1442	166	21	differential	differential	ADJ
ap-1442	166	22	equations	equation	NOUN
ap-1442	166	23	of	of	ADP
ap-1442	166	24	higher	high	ADJ
ap-1442	166	25	order	order	NOUN
ap-1442	166	26	.	.	PUNCT
ap-1442	167	1	the	the	DET
ap-1442	167	2	biggest	big	ADJ
ap-1442	167	3	problem	problem	NOUN
ap-1442	167	4	in	in	ADP
ap-1442	167	5	finding	find	VERB
ap-1442	167	6	a	a	DET
ap-1442	167	7	suitable	suitable	ADJ
ap-1442	167	8	system	system	NOUN
ap-1442	167	9	is	be	AUX
ap-1442	167	10	the	the	DET
ap-1442	167	11	lack	lack	NOUN
ap-1442	167	12	of	of	ADP
ap-1442	167	13	data	datum	NOUN
ap-1442	167	14	.	.	PUNCT
ap-1442	168	1	this	this	DET
ap-1442	168	2	paper	paper	NOUN
ap-1442	168	3	analyzes	analyze	VERB
ap-1442	168	4	gdp	gdp	NOUN
ap-1442	168	5	as	as	ADP
ap-1442	168	6	such	such	ADJ
ap-1442	168	7	.	.	PUNCT
ap-1442	169	1	it	it	PRON
ap-1442	169	2	would	would	AUX
ap-1442	169	3	be	be	AUX
ap-1442	169	4	more	more	ADV
ap-1442	169	5	sophisticated	sophisticated	ADJ
ap-1442	169	6	to	to	PART
ap-1442	169	7	create	create	VERB
ap-1442	169	8	a	a	DET
ap-1442	169	9	theoretical	theoretical	ADJ
ap-1442	169	10	model	model	NOUN
ap-1442	169	11	and	and	CCONJ
ap-1442	169	12	calibrate	calibrate	VERB
ap-1442	169	13	it	it	PRON
ap-1442	169	14	.	.	PUNCT
ap-1442	170	1	acknowledgement	acknowledgement	NOUN
ap-1442	170	2	the	the	DET
ap-1442	170	3	research	research	NOUN
ap-1442	170	4	presented	present	VERB
ap-1442	170	5	in	in	ADP
ap-1442	170	6	the	the	DET
ap-1442	170	7	paper	paper	NOUN
ap-1442	170	8	was	be	AUX
ap-1442	170	9	supervised	supervise	VERB
ap-1442	170	10	by	by	ADP
ap-1442	170	11	doc	doc	PROPN
ap-1442	170	12	.	.	PROPN
ap-1442	171	1	ing	ing	PROPN
ap-1442	171	2	.	.	PUNCT
ap-1442	172	1	helena	helena	PROPN
ap-1442	172	2	fialová	fialová	PROPN
ap-1442	172	3	,	,	PUNCT
ap-1442	172	4	csc	csc	PROPN
ap-1442	172	5	.	.	PROPN
ap-1442	172	6	,	,	PUNCT
ap-1442	172	7	fee	fee	NOUN
ap-1442	172	8	ctu	ctu	NOUN
ap-1442	172	9	in	in	ADP
ap-1442	172	10	prague	prague	NOUN
ap-1442	172	11	and	and	CCONJ
ap-1442	172	12	supported	support	VERB
ap-1442	172	13	by	by	ADP
ap-1442	172	14	the	the	DET
ap-1442	172	15	czech	czech	PROPN
ap-1442	172	16	grant	grant	NOUN
ap-1442	172	17	agency	agency	NOUN
ap-1442	172	18	under	under	ADP
ap-1442	172	19	grant	grant	NOUN
ap-1442	172	20	no	no	NOUN
ap-1442	172	21	.	.	PUNCT
ap-1442	172	22	402/09	402/09	NUM
ap-1442	172	23	/	/	SYM
ap-1442	172	24	h045	h045	PROPN
ap-1442	172	25	“	"	PUNCT
ap-1442	172	26	nonlinear	nonlinear	ADJ
ap-1442	172	27	dynamics	dynamic	NOUN
ap-1442	172	28	in	in	ADP
ap-1442	172	29	monetary	monetary	ADJ
ap-1442	172	30	and	and	CCONJ
ap-1442	172	31	financial	financial	ADJ
ap-1442	172	32	economics	economic	NOUN
ap-1442	172	33	.	.	PUNCT
ap-1442	173	1	theory	theory	NOUN
ap-1442	173	2	and	and	CCONJ
ap-1442	173	3	empirical	empirical	ADJ
ap-1442	173	4	models	model	NOUN
ap-1442	173	5	.	.	PUNCT
ap-1442	173	6	”	"	PUNCT
ap-1442	174	1	references	reference	NOUN
ap-1442	174	2	[	[	X
ap-1442	174	3	1	1	NUM
ap-1442	174	4	]	]	X
ap-1442	174	5	allen	allen	PROPN
ap-1442	174	6	,	,	PUNCT
ap-1442	174	7	r.	r.	PROPN
ap-1442	174	8	g.	g.	PROPN
ap-1442	174	9	d.	d.	PROPN
ap-1442	174	10	:	:	PUNCT
ap-1442	174	11	matematická	matematická	PROPN
ap-1442	174	12	ekonomie	ekonomie	PROPN
ap-1442	174	13	.	.	PUNCT
ap-1442	175	1	academia	academia	PROPN
ap-1442	175	2	,	,	PUNCT
ap-1442	175	3	1971	1971	NUM
ap-1442	175	4	.	.	PUNCT
ap-1442	176	1	[	[	X
ap-1442	176	2	2	2	NUM
ap-1442	176	3	]	]	X
ap-1442	176	4	lorenz	lorenz	PROPN
ap-1442	176	5	,	,	PUNCT
ap-1442	176	6	h.-w	h.-w	PROPN
ap-1442	176	7	.	.	PUNCT
ap-1442	176	8	:	:	PUNCT
ap-1442	176	9	nonlinear	nonlinear	ADJ
ap-1442	176	10	dynamical	dynamical	ADJ
ap-1442	176	11	economics	economic	NOUN
ap-1442	176	12	and	and	CCONJ
ap-1442	176	13	chaotic	chaotic	ADJ
ap-1442	176	14	motion	motion	NOUN
ap-1442	176	15	.	.	PUNCT
ap-1442	177	1	springer	springer	NOUN
ap-1442	177	2	-	-	PUNCT
ap-1442	177	3	verlag	verlag	PROPN
ap-1442	177	4	,	,	PUNCT
ap-1442	177	5	1989	1989	NUM
ap-1442	177	6	.	.	PUNCT
ap-1442	178	1	[	[	X
ap-1442	178	2	3	3	NUM
ap-1442	178	3	]	]	X
ap-1442	178	4	flaschel	flaschel	PROPN
ap-1442	178	5	,	,	PUNCT
ap-1442	178	6	p.	p.	NOUN
ap-1442	178	7	,	,	PUNCT
ap-1442	178	8	franke	franke	PROPN
ap-1442	178	9	,	,	PUNCT
ap-1442	178	10	r.	r.	PROPN
ap-1442	178	11	,	,	PUNCT
ap-1442	178	12	demmler	demmler	PROPN
ap-1442	178	13	,	,	PUNCT
ap-1442	178	14	w.	w.	NOUN
ap-1442	178	15	:	:	PUNCT
ap-1442	178	16	dynamic	dynamic	ADJ
ap-1442	178	17	macroeconomics	macroeconomic	NOUN
ap-1442	178	18	.	.	PUNCT
ap-1442	179	1	the	the	DET
ap-1442	179	2	mit	mit	PROPN
ap-1442	179	3	press	press	NOUN
ap-1442	179	4	,	,	PUNCT
ap-1442	179	5	1997	1997	NUM
ap-1442	179	6	.	.	PUNCT
ap-1442	180	1	[	[	X
ap-1442	180	2	4	4	NUM
ap-1442	180	3	]	]	X
ap-1442	180	4	mandelbrot	mandelbrot	PROPN
ap-1442	180	5	,	,	PUNCT
ap-1442	180	6	b.	b.	PROPN
ap-1442	180	7	b.	b.	PROPN
ap-1442	180	8	:	:	PUNCT
ap-1442	180	9	the	the	DET
ap-1442	180	10	fractal	fractal	ADJ
ap-1442	180	11	geometry	geometry	NOUN
ap-1442	180	12	of	of	ADP
ap-1442	180	13	nature	nature	NOUN
ap-1442	180	14	.	.	PUNCT
ap-1442	181	1	w.	w.	PROPN
ap-1442	181	2	h.	h.	PROPN
ap-1442	181	3	freeman	freeman	PROPN
ap-1442	181	4	and	and	CCONJ
ap-1442	181	5	co.	co.	PROPN
ap-1442	181	6	,	,	PUNCT
ap-1442	181	7	1983	1983	NUM
ap-1442	181	8	.	.	PUNCT
ap-1442	182	1	[	[	X
ap-1442	182	2	5	5	NUM
ap-1442	182	3	]	]	PUNCT
ap-1442	182	4	mandelbrot	mandelbrot	PROPN
ap-1442	182	5	,	,	PUNCT
ap-1442	182	6	b.	b.	PROPN
ap-1442	182	7	b.	b.	PROPN
ap-1442	182	8	,	,	PUNCT
ap-1442	182	9	ness	ness	PROPN
ap-1442	182	10	van	van	PROPN
ap-1442	182	11	,	,	PUNCT
ap-1442	182	12	j.	j.	PROPN
ap-1442	182	13	w.	w.	PROPN
ap-1442	182	14	:	:	PUNCT
ap-1442	182	15	fractional	fractional	ADJ
ap-1442	182	16	brownian	brownian	ADJ
ap-1442	182	17	motions	motion	NOUN
ap-1442	182	18	,	,	PUNCT
ap-1442	182	19	fractional	fractional	ADJ
ap-1442	182	20	noises	noise	NOUN
ap-1442	182	21	and	and	CCONJ
ap-1442	182	22	applications	application	NOUN
ap-1442	182	23	.	.	PUNCT
ap-1442	183	1	siam	siam	PROPN
ap-1442	183	2	rev	rev	PROPN
ap-1442	183	3	.	.	PROPN
ap-1442	183	4	10	10	NUM
ap-1442	183	5	(	(	PUNCT
ap-1442	183	6	1968	1968	NUM
ap-1442	183	7	)	)	PUNCT
ap-1442	183	8	,	,	PUNCT
ap-1442	183	9	pp	pp	ADP
ap-1442	183	10	.	.	PUNCT
ap-1442	184	1	422	422	NUM
ap-1442	184	2	.	.	PUNCT
ap-1442	185	1	[	[	X
ap-1442	185	2	6	6	NUM
ap-1442	185	3	]	]	X
ap-1442	185	4	goldsmith	goldsmith	NOUN
ap-1442	185	5	,	,	PUNCT
ap-1442	185	6	m.	m.	NOUN
ap-1442	185	7	:	:	PUNCT
ap-1442	185	8	the	the	DET
ap-1442	185	9	maximal	maximal	ADJ
ap-1442	185	10	lyapunov	lyapunov	ADJ
ap-1442	185	11	exponent	exponent	NOUN
ap-1442	185	12	of	of	ADP
ap-1442	185	13	a	a	DET
ap-1442	185	14	time	time	NOUN
ap-1442	185	15	series	series	NOUN
ap-1442	185	16	.	.	PUNCT
ap-1442	186	1	thesis	thesis	NOUN
ap-1442	186	2	,	,	PUNCT
ap-1442	186	3	2009	2009	NUM
ap-1442	186	4	.	.	PUNCT
ap-1442	187	1	[	[	X
ap-1442	187	2	7	7	NUM
ap-1442	187	3	]	]	X
ap-1442	187	4	grassberg	grassberg	ADJ
ap-1442	187	5	,	,	PUNCT
ap-1442	187	6	p.	p.	NOUN
ap-1442	187	7	,	,	PUNCT
ap-1442	187	8	procaccia	procaccia	PROPN
ap-1442	187	9	,	,	PUNCT
ap-1442	187	10	i.	i.	NOUN
ap-1442	187	11	:	:	PUNCT
ap-1442	187	12	characterization	characterization	NOUN
ap-1442	187	13	of	of	ADP
ap-1442	187	14	strange	strange	ADJ
ap-1442	187	15	attractors	attractor	NOUN
ap-1442	187	16	,	,	PUNCT
ap-1442	187	17	phys	phy	NOUN
ap-1442	187	18	.	.	PUNCT
ap-1442	188	1	rev	rev	PROPN
ap-1442	188	2	.	.	PROPN
ap-1442	188	3	lett	lett	PROPN
ap-1442	188	4	.	.	PUNCT
ap-1442	189	1	50	50	NUM
ap-1442	189	2	(	(	PUNCT
ap-1442	189	3	1983	1983	NUM
ap-1442	189	4	)	)	PUNCT
ap-1442	189	5	346	346	NUM
ap-1442	189	6	.	.	PUNCT
ap-1442	190	1	[	[	X
ap-1442	190	2	8	8	NUM
ap-1442	190	3	]	]	PUNCT
ap-1442	190	4	fialová	fialová	NOUN
ap-1442	190	5	,	,	PUNCT
ap-1442	190	6	h.	h.	PROPN
ap-1442	190	7	,	,	PUNCT
ap-1442	190	8	fiala	fiala	PROPN
ap-1442	190	9	,	,	PUNCT
ap-1442	190	10	j.	j.	PROPN
ap-1442	190	11	:	:	PUNCT
ap-1442	190	12	ekonomický	ekonomický	ADJ
ap-1442	190	13	slovńık	slovńık	NOUN
ap-1442	190	14	.	.	PUNCT
ap-1442	191	1	a	a	DET
ap-1442	191	2	plus	plus	ADJ
ap-1442	191	3	,	,	PUNCT
ap-1442	191	4	2009	2009	NUM
ap-1442	191	5	.	.	PUNCT
ap-1442	192	1	[	[	X
ap-1442	192	2	9	9	NUM
ap-1442	192	3	]	]	X
ap-1442	192	4	alligood	alligood	NOUN
ap-1442	192	5	,	,	PUNCT
ap-1442	192	6	t.	t.	PROPN
ap-1442	192	7	k.	k.	PROPN
ap-1442	192	8	,	,	PUNCT
ap-1442	192	9	sauer	sauer	PROPN
ap-1442	192	10	,	,	PUNCT
ap-1442	192	11	d.	d.	PROPN
ap-1442	192	12	t.	t.	PROPN
ap-1442	192	13	,	,	PUNCT
ap-1442	192	14	yorke	yorke	PROPN
ap-1442	192	15	,	,	PUNCT
ap-1442	192	16	j.	j.	PROPN
ap-1442	192	17	a.	a.	PROPN
ap-1442	192	18	:	:	PUNCT
ap-1442	192	19	chaos	chaos	VERB
ap-1442	192	20	an	an	DET
ap-1442	192	21	introduction	introduction	NOUN
ap-1442	192	22	to	to	ADP
ap-1442	192	23	dynamical	dynamical	ADJ
ap-1442	192	24	systems	system	NOUN
ap-1442	192	25	.	.	PUNCT
ap-1442	193	1	springer	springer	NOUN
ap-1442	193	2	,	,	PUNCT
ap-1442	193	3	2000	2000	NUM
ap-1442	193	4	.	.	PUNCT
ap-1442	194	1	67	67	NUM
ap-1442	194	2	acta	acta	PROPN
ap-1442	194	3	polytechnica	polytechnica	PROPN
ap-1442	194	4	vol	vol	NOUN
ap-1442	194	5	.	.	PUNCT
ap-1442	195	1	51	51	NUM
ap-1442	195	2	no	no	NOUN
ap-1442	195	3	.	.	PUNCT
ap-1442	196	1	5/2011	5/2011	NUM
ap-1442	196	2	[	[	SYM
ap-1442	196	3	10	10	NUM
ap-1442	196	4	]	]	PUNCT
ap-1442	196	5	chiarella	chiarella	NOUN
ap-1442	196	6	,	,	PUNCT
ap-1442	196	7	c.	c.	PROPN
ap-1442	196	8	:	:	PUNCT
ap-1442	196	9	the	the	DET
ap-1442	196	10	elements	element	NOUN
ap-1442	196	11	of	of	ADP
ap-1442	196	12	a	a	DET
ap-1442	196	13	nonlinear	nonlinear	ADJ
ap-1442	196	14	theory	theory	NOUN
ap-1442	196	15	of	of	ADP
ap-1442	196	16	economic	economic	ADJ
ap-1442	196	17	dynamics	dynamic	NOUN
ap-1442	196	18	.	.	PUNCT
ap-1442	197	1	springer	springer	NOUN
ap-1442	197	2	-	-	PUNCT
ap-1442	197	3	verlag	verlag	PROPN
ap-1442	197	4	,	,	PUNCT
ap-1442	197	5	1990	1990	NUM
ap-1442	197	6	.	.	PUNCT
ap-1442	198	1	[	[	X
ap-1442	198	2	11	11	NUM
ap-1442	198	3	]	]	PUNCT
ap-1442	198	4	http://www.czso.cz/eng/redakce.nsf/i/time	http://www.czso.cz/eng/redakce.nsf/i/time	NOUN
ap-1442	198	5	series	series	PROPN
ap-1442	198	6	[	[	X
ap-1442	198	7	12	12	NUM
ap-1442	198	8	]	]	X
ap-1442	198	9	http://en.wikipedia.org/wiki/hurst	http://en.wikipedia.org/wiki/hurst	ADV
ap-1442	198	10	exponent	exponent	NOUN
ap-1442	198	11	[	[	X
ap-1442	198	12	13	13	NUM
ap-1442	198	13	]	]	X
ap-1442	198	14	http://en.wikipedia.org/wiki/lyapunov	http://en.wikipedia.org/wiki/lyapunov	NOUN
ap-1442	198	15	exponent	exponent	NOUN
ap-1442	198	16	about	about	ADP
ap-1442	198	17	the	the	DET
ap-1442	198	18	author	author	NOUN
ap-1442	198	19	radko	radko	PROPN
ap-1442	198	20	kř́ıž	kř́ıž	PROPN
ap-1442	198	21	,	,	PUNCT
ap-1442	198	22	msc	msc	PROPN
ap-1442	198	23	.	.	PROPN
ap-1442	198	24	was	be	AUX
ap-1442	198	25	born	bear	VERB
ap-1442	198	26	in	in	ADP
ap-1442	198	27	broumov	broumov	ADJ
ap-1442	198	28	.	.	PUNCT
ap-1442	199	1	he	he	PRON
ap-1442	199	2	graduated	graduate	VERB
ap-1442	199	3	at	at	ADP
ap-1442	199	4	the	the	DET
ap-1442	199	5	faculty	faculty	NOUN
ap-1442	199	6	of	of	ADP
ap-1442	199	7	electrical	electrical	ADJ
ap-1442	199	8	engineering	engineering	NOUN
ap-1442	199	9	of	of	ADP
ap-1442	199	10	the	the	DET
ap-1442	199	11	czech	czech	PROPN
ap-1442	199	12	technical	technical	PROPN
ap-1442	199	13	university	university	PROPN
ap-1442	199	14	in	in	ADP
ap-1442	199	15	prague	prague	PROPN
ap-1442	199	16	,	,	PUNCT
ap-1442	199	17	specializing	specialize	VERB
ap-1442	199	18	in	in	ADP
ap-1442	199	19	economics	economic	NOUN
ap-1442	199	20	and	and	CCONJ
ap-1442	199	21	management	management	NOUN
ap-1442	199	22	in	in	ADP
ap-1442	199	23	electrical	electrical	ADJ
ap-1442	199	24	engineering	engineering	NOUN
ap-1442	199	25	,	,	PUNCT
ap-1442	199	26	and	and	CCONJ
ap-1442	199	27	he	he	PRON
ap-1442	199	28	is	be	AUX
ap-1442	199	29	currently	currently	ADV
ap-1442	199	30	a	a	DET
ap-1442	199	31	phd	phd	NOUN
ap-1442	199	32	student	student	NOUN
ap-1442	199	33	at	at	ADP
ap-1442	199	34	the	the	DET
ap-1442	199	35	faculty	faculty	NOUN
ap-1442	199	36	of	of	ADP
ap-1442	199	37	electrical	electrical	ADJ
ap-1442	199	38	engineering	engineering	NOUN
ap-1442	199	39	of	of	ADP
ap-1442	199	40	the	the	DET
ap-1442	199	41	czech	czech	PROPN
ap-1442	199	42	technical	technical	PROPN
ap-1442	199	43	university	university	PROPN
ap-1442	199	44	in	in	ADP
ap-1442	199	45	prague	prague	PROPN
ap-1442	199	46	.	.	PUNCT
ap-1442	200	1	his	his	PRON
ap-1442	200	2	major	major	ADJ
ap-1442	200	3	fields	field	NOUN
ap-1442	200	4	of	of	ADP
ap-1442	200	5	specialization	specialization	NOUN
ap-1442	200	6	are	be	AUX
ap-1442	200	7	macroeconomics	macroeconomic	NOUN
ap-1442	200	8	,	,	PUNCT
ap-1442	200	9	energetics	energetic	NOUN
ap-1442	200	10	,	,	PUNCT
ap-1442	200	11	nonlinear	nonlinear	ADJ
ap-1442	200	12	dynamics	dynamic	NOUN
ap-1442	200	13	in	in	ADP
ap-1442	200	14	economics	economic	NOUN
ap-1442	200	15	and	and	CCONJ
ap-1442	200	16	chaos	chaos	NOUN
ap-1442	200	17	theory	theory	NOUN
ap-1442	200	18	.	.	PUNCT
ap-1442	201	1	radko	radko	PROPN
ap-1442	201	2	kř́ıž	kř́ıž	PROPN
ap-1442	201	3	e	e	PROPN
ap-1442	201	4	-	-	NOUN
ap-1442	201	5	mail	mail	NOUN
ap-1442	201	6	:	:	PUNCT
ap-1442	201	7	krizradk@fel.cvut.cz	krizradk@fel.cvut.cz	NOUN
ap-1442	201	8	dept	dept	NOUN
ap-1442	201	9	.	.	PROPN
ap-1442	201	10	of	of	ADP
ap-1442	201	11	economics	economic	NOUN
ap-1442	201	12	management	management	NOUN
ap-1442	201	13	and	and	CCONJ
ap-1442	201	14	humanities	humanity	NOUN
ap-1442	201	15	faculty	faculty	NOUN
ap-1442	201	16	of	of	ADP
ap-1442	201	17	electrical	electrical	ADJ
ap-1442	201	18	engineering	engineering	NOUN
ap-1442	201	19	czech	czech	PROPN
ap-1442	201	20	technical	technical	PROPN
ap-1442	201	21	university	university	PROPN
ap-1442	201	22	technická	technická	NOUN
ap-1442	201	23	2	2	NUM
ap-1442	201	24	,	,	PUNCT
ap-1442	201	25	166	166	NUM
ap-1442	201	26	27	27	NUM
ap-1442	201	27	praha	praha	NOUN
ap-1442	201	28	,	,	PUNCT
ap-1442	201	29	czech	czech	PROPN
ap-1442	201	30	republic	republic	NOUN
ap-1442	201	31	68	68	NUM