id	sid	tid	token	lemma	pos
cana-5307	1	1	communications	communication	NOUN
cana-5307	1	2	on	on	ADP
cana-5307	1	3	applied	apply	VERB
cana-5307	1	4	nonlinear	nonlinear	ADJ
cana-5307	1	5	analysis	analysis	NOUN
cana-5307	1	6	issn	issn	NOUN
cana-5307	1	7	:	:	PUNCT
cana-5307	1	8	1074	1074	NUM
cana-5307	1	9	-	-	PUNCT
cana-5307	1	10	133x	133x	NUM
cana-5307	1	11	vol	vol	NOUN
cana-5307	1	12	31	31	NUM
cana-5307	1	13	no	no	NOUN
cana-5307	1	14	.	.	PUNCT
cana-5307	2	1	2s	2s	NUM
cana-5307	2	2	(	(	PUNCT
cana-5307	2	3	2024	2024	NUM
cana-5307	2	4	)	)	PUNCT
cana-5307	2	5	729	729	NUM
cana-5307	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5307	2	7	fractal	fractal	ADJ
cana-5307	2	8	geometry	geometry	NOUN
cana-5307	2	9	and	and	CCONJ
cana-5307	2	10	chaos	chaos	NOUN
cana-5307	2	11	theory	theory	NOUN
cana-5307	2	12	unraveling	unravel	VERB
cana-5307	2	13	the	the	DET
cana-5307	2	14	complexity	complexity	NOUN
cana-5307	2	15	of	of	ADP
cana-5307	2	16	natural	natural	ADJ
cana-5307	2	17	phenomena	phenomenon	NOUN
cana-5307	2	18	1s	1s	X
cana-5307	2	19	.	.	PUNCT
cana-5307	3	1	balamuralitharan	balamuralitharan	PROPN
cana-5307	3	2	,	,	PUNCT
cana-5307	3	3	2dr.m.aniji	2dr.m.aniji	NUM
cana-5307	3	4	,	,	PUNCT
cana-5307	3	5	3r	3r	NUM
cana-5307	3	6	.	.	PUNCT
cana-5307	4	1	arulprakasam	arulprakasam	PROPN
cana-5307	4	2	,	,	PUNCT
cana-5307	4	3	4p.satish	4p.satish	NUM
cana-5307	4	4	,	,	PUNCT
cana-5307	4	5	5d	5d	PROPN
cana-5307	4	6	v	v	SYM
cana-5307	4	7	l	l	NOUN
cana-5307	4	8	prasanna	prasanna	PROPN
cana-5307	4	9	1adjunct	1adjunct	NUM
cana-5307	4	10	faculty	faculty	NOUN
cana-5307	4	11	,	,	PUNCT
cana-5307	4	12	department	department	NOUN
cana-5307	4	13	of	of	ADP
cana-5307	4	14	pure	pure	ADJ
cana-5307	4	15	and	and	CCONJ
cana-5307	4	16	applied	applied	ADJ
cana-5307	4	17	mathematics	mathematic	NOUN
cana-5307	4	18	,	,	PUNCT
cana-5307	4	19	saveetha	saveetha	PROPN
cana-5307	4	20	school	school	PROPN
cana-5307	4	21	of	of	ADP
cana-5307	4	22	engineering	engineering	NOUN
cana-5307	4	23	,	,	PUNCT
cana-5307	4	24	simats	simat	NOUN
cana-5307	4	25	,	,	PUNCT
cana-5307	4	26	chennai	chennai	PROPN
cana-5307	4	27	,	,	PUNCT
cana-5307	4	28	tamil	tamil	PROPN
cana-5307	4	29	nadu	nadu	PROPN
cana-5307	4	30	,	,	PUNCT
cana-5307	4	31	india	india	PROPN
cana-5307	4	32	email	email	NOUN
cana-5307	5	1	i	i	PROPN
cana-5307	5	2	d	d	PROPN
cana-5307	5	3	:	:	PUNCT
cana-5307	5	4	balamurali.maths@gmail.com	balamurali.maths@gmail.com	X
cana-5307	5	5	2assistant	2assistant	NUM
cana-5307	5	6	professor	professor	NOUN
cana-5307	5	7	department	department	NOUN
cana-5307	5	8	of	of	ADP
cana-5307	5	9	computer	computer	NOUN
cana-5307	5	10	applications	application	NOUN
cana-5307	5	11	,	,	PUNCT
cana-5307	5	12	faculty	faculty	NOUN
cana-5307	5	13	of	of	ADP
cana-5307	5	14	science	science	NOUN
cana-5307	5	15	and	and	CCONJ
cana-5307	5	16	humanities	humanity	NOUN
cana-5307	5	17	,	,	PUNCT
cana-5307	5	18	srm	srm	PROPN
cana-5307	5	19	institute	institute	PROPN
cana-5307	5	20	of	of	ADP
cana-5307	5	21	science	science	NOUN
cana-5307	5	22	and	and	CCONJ
cana-5307	5	23	technology	technology	NOUN
cana-5307	5	24	,	,	PUNCT
cana-5307	5	25	kattankulathur	kattankulathur	PROPN
cana-5307	5	26	,	,	PUNCT
cana-5307	5	27	potheri	potheri	NOUN
cana-5307	5	28	,	,	PUNCT
cana-5307	5	29	chengalpattu	chengalpattu	ADV
cana-5307	5	30	-603203	-603203	ADV
cana-5307	5	31	,	,	PUNCT
cana-5307	5	32	anijim@srmist.edu.in	anijim@srmist.edu.in	NOUN
cana-5307	5	33	3department	3department	NUM
cana-5307	5	34	of	of	ADP
cana-5307	5	35	mathematics	mathematic	NOUN
cana-5307	5	36	,	,	PUNCT
cana-5307	5	37	college	college	NOUN
cana-5307	5	38	of	of	ADP
cana-5307	5	39	engineering	engineering	NOUN
cana-5307	5	40	and	and	CCONJ
cana-5307	5	41	technology	technology	NOUN
cana-5307	5	42	,	,	PUNCT
cana-5307	5	43	srm	srm	PROPN
cana-5307	5	44	institute	institute	PROPN
cana-5307	5	45	of	of	ADP
cana-5307	5	46	science	science	NOUN
cana-5307	5	47	and	and	CCONJ
cana-5307	5	48	technology	technology	NOUN
cana-5307	5	49	,	,	PUNCT
cana-5307	5	50	srm	srm	NOUN
cana-5307	5	51	nagar	nagar	NOUN
cana-5307	5	52	,	,	PUNCT
cana-5307	5	53	kattankulathur	kattankulathur	PROPN
cana-5307	5	54	603203	603203	NUM
cana-5307	5	55	,	,	PUNCT
cana-5307	5	56	chengalpattu	chengalpattu	ADJ
cana-5307	5	57	district	district	NOUN
cana-5307	5	58	,	,	PUNCT
cana-5307	5	59	tamilnadu	tamilnadu	PROPN
cana-5307	5	60	,	,	PUNCT
cana-5307	5	61	india	india	PROPN
cana-5307	5	62	r.aruljeeva@gmail.com	r.aruljeeva@gmail.com	PROPN
cana-5307	5	63	4associate	4associate	PROPN
cana-5307	5	64	professor	professor	NOUN
cana-5307	5	65	,	,	PUNCT
cana-5307	5	66	department	department	NOUN
cana-5307	5	67	of	of	ADP
cana-5307	5	68	mathematics	mathematics	PROPN
cana-5307	5	69	,	,	PUNCT
cana-5307	5	70	aditya	aditya	PROPN
cana-5307	5	71	university	university	PROPN
cana-5307	5	72	,	,	PUNCT
cana-5307	5	73	surampalem	surampalem	NOUN
cana-5307	5	74	,	,	PUNCT
cana-5307	5	75	india	india	PROPN
cana-5307	5	76	,	,	PUNCT
cana-5307	5	77	satish.papolu@aec.edu.in	satish.papolu@aec.edu.in	PROPN
cana-5307	6	1	5associate	5associate	NUM
cana-5307	6	2	professor	professor	NOUN
cana-5307	6	3	,	,	PUNCT
cana-5307	6	4	dept	dept	NOUN
cana-5307	6	5	of	of	ADP
cana-5307	6	6	mathematics	mathematic	NOUN
cana-5307	6	7	,	,	PUNCT
cana-5307	6	8	aditya	aditya	PROPN
cana-5307	6	9	university	university	PROPN
cana-5307	6	10	,	,	PUNCT
cana-5307	6	11	surampalem	surampalem	NOUN
cana-5307	6	12	,	,	PUNCT
cana-5307	6	13	india	india	PROPN
cana-5307	6	14	,	,	PUNCT
cana-5307	6	15	dvl.prasanna@aec.edu.in	dvl.prasanna@aec.edu.in	NOUN
cana-5307	6	16	article	article	NOUN
cana-5307	6	17	history	history	NOUN
cana-5307	6	18	:	:	PUNCT
cana-5307	6	19	received	receive	VERB
cana-5307	6	20	:	:	PUNCT
cana-5307	6	21	12	12	NUM
cana-5307	6	22	-	-	SYM
cana-5307	6	23	12	12	NUM
cana-5307	6	24	-	-	PUNCT
cana-5307	6	25	2023	2023	NUM
cana-5307	6	26	revised	revise	VERB
cana-5307	6	27	:	:	PUNCT
cana-5307	6	28	15	15	NUM
cana-5307	6	29	-	-	SYM
cana-5307	6	30	01	01	NUM
cana-5307	6	31	-	-	PUNCT
cana-5307	6	32	2024	2024	NUM
cana-5307	6	33	accepted	accept	VERB
cana-5307	6	34	:	:	PUNCT
cana-5307	6	35	19	19	NUM
cana-5307	6	36	-	-	PUNCT
cana-5307	6	37	02	02	NUM
cana-5307	6	38	-	-	PUNCT
cana-5307	6	39	2024	2024	NUM
cana-5307	6	40	abstract	abstract	NOUN
cana-5307	6	41	:	:	PUNCT
cana-5307	6	42	scientific	scientific	ADJ
cana-5307	6	43	research	research	NOUN
cana-5307	6	44	of	of	ADP
cana-5307	6	45	naturally	naturally	ADV
cana-5307	6	46	occurring	occur	VERB
cana-5307	6	47	complex	complex	ADJ
cana-5307	6	48	structures	structure	NOUN
cana-5307	6	49	depends	depend	VERB
cana-5307	6	50	on	on	ADP
cana-5307	6	51	fractal	fractal	ADJ
cana-5307	6	52	geometry	geometry	NOUN
cana-5307	6	53	in	in	ADP
cana-5307	6	54	combination	combination	NOUN
cana-5307	6	55	with	with	ADP
cana-5307	6	56	chaos	chaos	NOUN
cana-5307	6	57	theory	theory	NOUN
cana-5307	6	58	.	.	PUNCT
cana-5307	7	1	the	the	DET
cana-5307	7	2	primary	primary	ADJ
cana-5307	7	3	fractal	fractal	ADJ
cana-5307	7	4	geometry	geometry	NOUN
cana-5307	7	5	components	component	NOUN
cana-5307	7	6	used	use	VERB
cana-5307	7	7	by	by	ADP
cana-5307	7	8	scientists	scientist	NOUN
cana-5307	7	9	for	for	ADP
cana-5307	7	10	studying	study	VERB
cana-5307	7	11	irregular	irregular	ADJ
cana-5307	7	12	natural	natural	ADJ
cana-5307	7	13	shapes	shape	NOUN
cana-5307	7	14	consist	consist	VERB
cana-5307	7	15	of	of	ADP
cana-5307	7	16	metrical	metrical	ADJ
cana-5307	7	17	self	self	NOUN
cana-5307	7	18	-	-	PUNCT
cana-5307	7	19	similarities	similarity	NOUN
cana-5307	7	20	.	.	PUNCT
cana-5307	8	1	at	at	ADP
cana-5307	8	2	the	the	DET
cana-5307	8	3	same	same	ADJ
cana-5307	8	4	time	time	NOUN
cana-5307	8	5	chaos	chaos	NOUN
cana-5307	8	6	theory	theory	NOUN
cana-5307	8	7	describes	describe	VERB
cana-5307	8	8	how	how	SCONJ
cana-5307	8	9	an	an	DET
cana-5307	8	10	unpredictable	unpredictable	ADJ
cana-5307	8	11	system	system	NOUN
cana-5307	8	12	retains	retain	VERB
cana-5307	8	13	aspects	aspect	NOUN
cana-5307	8	14	of	of	ADP
cana-5307	8	15	systematic	systematic	ADJ
cana-5307	8	16	ordering	ordering	NOUN
cana-5307	8	17	.	.	PUNCT
cana-5307	9	1	the	the	DET
cana-5307	9	2	document	document	NOUN
cana-5307	9	3	first	first	ADV
cana-5307	9	4	investigates	investigate	VERB
cana-5307	9	5	the	the	DET
cana-5307	9	6	link	link	NOUN
cana-5307	9	7	between	between	ADP
cana-5307	9	8	fractals	fractal	NOUN
cana-5307	9	9	and	and	CCONJ
cana-5307	9	10	chaos	chaos	NOUN
cana-5307	9	11	theory	theory	NOUN
cana-5307	9	12	after	after	ADP
cana-5307	9	13	which	which	PRON
cana-5307	9	14	it	it	PRON
cana-5307	9	15	divides	divide	VERB
cana-5307	9	16	their	their	PRON
cana-5307	9	17	methods	method	NOUN
cana-5307	9	18	for	for	ADP
cana-5307	9	19	analyzing	analyze	VERB
cana-5307	9	20	complicated	complicated	ADJ
cana-5307	9	21	natural	natural	ADJ
cana-5307	9	22	processes	process	NOUN
cana-5307	9	23	by	by	ADP
cana-5307	9	24	detailing	detail	VERB
cana-5307	9	25	their	their	PRON
cana-5307	9	26	fundamental	fundamental	ADJ
cana-5307	9	27	aspects	aspect	NOUN
cana-5307	9	28	together	together	ADV
cana-5307	9	29	with	with	ADP
cana-5307	9	30	implementation	implementation	NOUN
cana-5307	9	31	procedures	procedure	NOUN
cana-5307	9	32	with	with	ADP
cana-5307	9	33	practical	practical	ADJ
cana-5307	9	34	uses	use	NOUN
cana-5307	9	35	.	.	PUNCT
cana-5307	10	1	keywords	keyword	NOUN
cana-5307	10	2	—	—	PUNCT
cana-5307	10	3	fractal	fractal	ADJ
cana-5307	10	4	geometry	geometry	NOUN
cana-5307	10	5	,	,	PUNCT
cana-5307	10	6	chaos	chaos	NOUN
cana-5307	10	7	theory	theory	NOUN
cana-5307	10	8	,	,	PUNCT
cana-5307	10	9	natural	natural	ADJ
cana-5307	10	10	phenomena	phenomenon	NOUN
cana-5307	10	11	,	,	PUNCT
cana-5307	10	12	self	self	NOUN
cana-5307	10	13	-	-	PUNCT
cana-5307	10	14	similarity	similarity	NOUN
cana-5307	10	15	,	,	PUNCT
cana-5307	10	16	dynamical	dynamical	ADJ
cana-5307	10	17	systems	system	NOUN
cana-5307	10	18	,	,	PUNCT
cana-5307	10	19	nonlinear	nonlinear	ADJ
cana-5307	10	20	dynamics	dynamic	NOUN
cana-5307	10	21	,	,	PUNCT
cana-5307	10	22	complex	complex	ADJ
cana-5307	10	23	systems	system	NOUN
cana-5307	10	24	,	,	PUNCT
cana-5307	10	25	natural	natural	ADJ
cana-5307	10	26	patterns	pattern	NOUN
cana-5307	10	27	,	,	PUNCT
cana-5307	10	28	environmental	environmental	ADJ
cana-5307	10	29	systems	system	NOUN
cana-5307	10	30	,	,	PUNCT
cana-5307	10	31	biological	biological	ADJ
cana-5307	10	32	growth	growth	NOUN
cana-5307	10	33	i.	i.	PROPN
cana-5307	10	34	introduction	introduction	PROPN
cana-5307	10	35	research	research	NOUN
cana-5307	10	36	by	by	ADP
cana-5307	10	37	scientists	scientist	NOUN
cana-5307	10	38	focuses	focus	VERB
cana-5307	10	39	on	on	ADP
cana-5307	10	40	the	the	DET
cana-5307	10	41	analysis	analysis	NOUN
cana-5307	10	42	of	of	ADP
cana-5307	10	43	complex	complex	ADJ
cana-5307	10	44	biological	biological	ADJ
cana-5307	10	45	patterns	pattern	NOUN
cana-5307	10	46	and	and	CCONJ
cana-5307	10	47	unpredictable	unpredictable	ADJ
cana-5307	10	48	weather	weather	NOUN
cana-5307	10	49	because	because	SCONJ
cana-5307	10	50	their	their	PRON
cana-5307	10	51	behavior	behavior	NOUN
cana-5307	10	52	contains	contain	VERB
cana-5307	10	53	mixed	mixed	ADJ
cana-5307	10	54	patterns	pattern	NOUN
cana-5307	10	55	of	of	ADP
cana-5307	10	56	unpredictability	unpredictability	NOUN
cana-5307	10	57	[	[	X
cana-5307	10	58	15	15	NUM
cana-5307	10	59	]	]	PUNCT
cana-5307	10	60	.	.	PUNCT
cana-5307	11	1	scientists	scientist	NOUN
cana-5307	11	2	have	have	AUX
cana-5307	11	3	identified	identify	VERB
cana-5307	11	4	several	several	ADJ
cana-5307	11	5	worldwide	worldwide	ADJ
cana-5307	11	6	patterns	pattern	NOUN
cana-5307	11	7	having	have	VERB
cana-5307	11	8	unpredictable	unpredictable	ADJ
cana-5307	11	9	components	component	NOUN
cana-5307	11	10	that	that	PRON
cana-5307	11	11	scientists	scientist	NOUN
cana-5307	11	12	investigate	investigate	VERB
cana-5307	11	13	through	through	ADP
cana-5307	11	14	mathematical	mathematical	ADJ
cana-5307	11	15	analysis	analysis	NOUN
cana-5307	11	16	.	.	PUNCT
cana-5307	12	1	mathematical	mathematical	ADJ
cana-5307	12	2	standards	standard	NOUN
cana-5307	12	3	fall	fall	VERB
cana-5307	12	4	short	short	ADJ
cana-5307	12	5	when	when	SCONJ
cana-5307	12	6	trying	try	VERB
cana-5307	12	7	to	to	PART
cana-5307	12	8	explain	explain	VERB
cana-5307	12	9	difficult	difficult	ADJ
cana-5307	12	10	natural	natural	ADJ
cana-5307	12	11	patterns	pattern	NOUN
cana-5307	12	12	but	but	CCONJ
cana-5307	12	13	scientists	scientist	NOUN
cana-5307	12	14	succeed	succeed	VERB
cana-5307	12	15	in	in	ADP
cana-5307	12	16	providing	provide	VERB
cana-5307	12	17	better	well	ADJ
cana-5307	12	18	methods	method	NOUN
cana-5307	12	19	for	for	ADP
cana-5307	12	20	understanding	understand	VERB
cana-5307	12	21	them	they	PRON
cana-5307	12	22	.	.	PUNCT
cana-5307	13	1	fractals	fractal	NOUN
cana-5307	13	2	contain	contain	VERB
cana-5307	13	3	repeated	repeat	VERB
cana-5307	13	4	patterns	pattern	NOUN
cana-5307	13	5	which	which	PRON
cana-5307	13	6	persist	persist	VERB
cana-5307	13	7	across	across	ADP
cana-5307	13	8	various	various	ADJ
cana-5307	13	9	scale	scale	NOUN
cana-5307	13	10	levels	level	NOUN
cana-5307	13	11	in	in	ADP
cana-5307	13	12	their	their	PRON
cana-5307	13	13	complex	complex	ADJ
cana-5307	13	14	designed	design	VERB
cana-5307	13	15	structures	structure	NOUN
cana-5307	13	16	.	.	PUNCT
cana-5307	14	1	the	the	DET
cana-5307	14	2	jagged	jagged	ADJ
cana-5307	14	3	intricate	intricate	ADJ
cana-5307	14	4	or	or	CCONJ
cana-5307	14	5	fragmented	fragmented	ADJ
cana-5307	14	6	patterns	pattern	NOUN
cana-5307	14	7	in	in	ADP
cana-5307	14	8	fractals	fractal	NOUN
cana-5307	14	9	produce	produce	VERB
cana-5307	14	10	distinct	distinct	ADJ
cana-5307	14	11	appearance	appearance	NOUN
cana-5307	14	12	from	from	ADP
cana-5307	14	13	triangular	triangular	ADJ
cana-5307	14	14	geometric	geometric	ADJ
cana-5307	14	15	designs	design	NOUN
cana-5307	14	16	featuring	feature	VERB
cana-5307	14	17	smooth	smooth	ADJ
cana-5307	14	18	shapes	shape	NOUN
cana-5307	14	19	.	.	PUNCT
cana-5307	15	1	mandelbrot	mandelbrot	PROPN
cana-5307	15	2	found	find	VERB
cana-5307	15	3	that	that	SCONJ
cana-5307	15	4	apparently	apparently	ADV
cana-5307	15	5	chaotic	chaotic	ADJ
cana-5307	15	6	natural	natural	ADJ
cana-5307	15	7	structures	structure	NOUN
cana-5307	15	8	follow	follow	VERB
cana-5307	15	9	carefully	carefully	ADV
cana-5307	15	10	defined	define	VERB
cana-5307	15	11	mathematical	mathematical	ADJ
cana-5307	15	12	patterns	pattern	NOUN
cana-5307	15	13	.	.	PUNCT
cana-5307	16	1	through	through	ADP
cana-5307	16	2	fractal	fractal	ADJ
cana-5307	16	3	dimensions	dimension	NOUN
cana-5307	16	4	he	he	PRON
cana-5307	16	5	developed	develop	VERB
cana-5307	16	6	the	the	DET
cana-5307	16	7	measurement	measurement	NOUN
cana-5307	16	8	technique	technique	NOUN
cana-5307	16	9	to	to	PART
cana-5307	16	10	analyze	analyze	VERB
cana-5307	16	11	natural	natural	ADJ
cana-5307	16	12	patterns	pattern	NOUN
cana-5307	16	13	in	in	ADP
cana-5307	16	14	complex	complex	ADJ
cana-5307	16	15	irregular	irregular	ADJ
cana-5307	16	16	structures	structure	NOUN
cana-5307	16	17	thus	thus	ADV
cana-5307	16	18	marking	mark	VERB
cana-5307	16	19	a	a	DET
cana-5307	16	20	major	major	ADJ
cana-5307	16	21	advancement	advancement	NOUN
cana-5307	16	22	in	in	ADP
cana-5307	16	23	complex	complex	ADJ
cana-5307	16	24	pattern	pattern	NOUN
cana-5307	16	25	analysis	analysis	NOUN
cana-5307	16	26	.	.	PUNCT
cana-5307	17	1	communications	communication	NOUN
cana-5307	17	2	on	on	ADP
cana-5307	17	3	applied	apply	VERB
cana-5307	17	4	nonlinear	nonlinear	ADJ
cana-5307	17	5	analysis	analysis	NOUN
cana-5307	17	6	issn	issn	NOUN
cana-5307	17	7	:	:	PUNCT
cana-5307	17	8	1074	1074	NUM
cana-5307	17	9	-	-	PUNCT
cana-5307	17	10	133x	133x	NUM
cana-5307	17	11	vol	vol	NOUN
cana-5307	17	12	31	31	NUM
cana-5307	17	13	no	no	NOUN
cana-5307	17	14	.	.	PUNCT
cana-5307	18	1	2s	2s	NUM
cana-5307	18	2	(	(	PUNCT
cana-5307	18	3	2024	2024	NUM
cana-5307	18	4	)	)	PUNCT
cana-5307	18	5	730	730	NUM
cana-5307	18	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5307	18	7	the	the	DET
cana-5307	18	8	development	development	NOUN
cana-5307	18	9	of	of	ADP
cana-5307	18	10	chaos	chaos	NOUN
cana-5307	18	11	theory	theory	NOUN
cana-5307	18	12	emerged	emerge	VERB
cana-5307	18	13	in	in	ADP
cana-5307	18	14	the	the	DET
cana-5307	18	15	1960s	1960	NOUN
cana-5307	18	16	when	when	SCONJ
cana-5307	18	17	both	both	DET
cana-5307	18	18	edward	edward	PROPN
cana-5307	18	19	lorenz	lorenz	PROPN
cana-5307	18	20	and	and	CCONJ
cana-5307	18	21	his	his	PRON
cana-5307	18	22	colleagues	colleague	NOUN
cana-5307	18	23	discovered	discover	VERB
cana-5307	18	24	that	that	SCONJ
cana-5307	18	25	mathematical	mathematical	ADJ
cana-5307	18	26	systems	system	NOUN
cana-5307	18	27	with	with	ADP
cana-5307	18	28	predetermined	predetermined	ADJ
cana-5307	18	29	laws	law	NOUN
cana-5307	18	30	exhibited	exhibit	VERB
cana-5307	18	31	apparently	apparently	ADV
cana-5307	18	32	random	random	ADJ
cana-5307	18	33	results	result	NOUN
cana-5307	18	34	because	because	SCONJ
cana-5307	18	35	they	they	PRON
cana-5307	18	36	demonstrated	demonstrate	VERB
cana-5307	18	37	extreme	extreme	ADJ
cana-5307	18	38	sensitivity	sensitivity	NOUN
cana-5307	18	39	to	to	ADP
cana-5307	18	40	their	their	PRON
cana-5307	18	41	starting	starting	NOUN
cana-5307	18	42	points	point	NOUN
cana-5307	18	43	.	.	PUNCT
cana-5307	19	1	chaos	chaos	NOUN
cana-5307	19	2	theory	theory	NOUN
cana-5307	19	3	revealed	reveal	VERB
cana-5307	19	4	the	the	DET
cana-5307	19	5	reason	reason	NOUN
cana-5307	19	6	behind	behind	ADP
cana-5307	19	7	unreliable	unreliable	ADJ
cana-5307	19	8	long	long	ADJ
cana-5307	19	9	-	-	PUNCT
cana-5307	19	10	term	term	NOUN
cana-5307	19	11	predictions	prediction	NOUN
cana-5307	19	12	in	in	ADP
cana-5307	19	13	deterministic	deterministic	ADJ
cana-5307	19	14	systems	system	NOUN
cana-5307	19	15	such	such	ADJ
cana-5307	19	16	as	as	ADP
cana-5307	19	17	weather	weather	NOUN
cana-5307	19	18	and	and	CCONJ
cana-5307	19	19	ecology	ecology	NOUN
cana-5307	19	20	and	and	CCONJ
cana-5307	19	21	stock	stock	NOUN
cana-5307	19	22	markets	market	NOUN
cana-5307	19	23	.	.	PUNCT
cana-5307	20	1	according	accord	VERB
cana-5307	20	2	to	to	ADP
cana-5307	20	3	chaos	chaos	NOUN
cana-5307	20	4	theory	theory	NOUN
cana-5307	20	5	it	it	PRON
cana-5307	20	6	is	be	AUX
cana-5307	20	7	possible	possible	ADJ
cana-5307	20	8	to	to	PART
cana-5307	20	9	study	study	VERB
cana-5307	20	10	both	both	CCONJ
cana-5307	20	11	the	the	DET
cana-5307	20	12	deterministic	deterministic	ADJ
cana-5307	20	13	properties	property	NOUN
cana-5307	20	14	and	and	CCONJ
cana-5307	20	15	patterns	pattern	NOUN
cana-5307	20	16	of	of	ADP
cana-5307	20	17	unpredictable	unpredictable	ADJ
cana-5307	20	18	systems	system	NOUN
cana-5307	20	19	through	through	ADP
cana-5307	20	20	mathematical	mathematical	ADJ
cana-5307	20	21	modeling	modeling	NOUN
cana-5307	20	22	even	even	ADV
cana-5307	20	23	though	though	SCONJ
cana-5307	20	24	they	they	PRON
cana-5307	20	25	remain	remain	VERB
cana-5307	20	26	unpredictable	unpredictable	ADJ
cana-5307	20	27	in	in	ADP
cana-5307	20	28	the	the	DET
cana-5307	20	29	long	long	ADJ
cana-5307	20	30	term	term	NOUN
cana-5307	20	31	[	[	X
cana-5307	20	32	4	4	NUM
cana-5307	20	33	]	]	PUNCT
cana-5307	20	34	.	.	PUNCT
cana-5307	21	1	nature	nature	NOUN
cana-5307	21	2	-	-	PUNCT
cana-5307	21	3	based	base	VERB
cana-5307	21	4	research	research	NOUN
cana-5307	21	5	receives	receive	VERB
cana-5307	21	6	significant	significant	ADJ
cana-5307	21	7	benefits	benefit	NOUN
cana-5307	21	8	from	from	ADP
cana-5307	21	9	both	both	DET
cana-5307	21	10	chaos	chaos	NOUN
cana-5307	21	11	theory	theory	NOUN
cana-5307	21	12	and	and	CCONJ
cana-5307	21	13	fractal	fractal	ADJ
cana-5307	21	14	geometry	geometry	NOUN
cana-5307	21	15	.	.	PUNCT
cana-5307	22	1	the	the	DET
cana-5307	22	2	theories	theory	NOUN
cana-5307	22	3	serve	serve	VERB
cana-5307	22	4	as	as	ADP
cana-5307	22	5	novel	novel	ADJ
cana-5307	22	6	techniques	technique	NOUN
cana-5307	22	7	for	for	ADP
cana-5307	22	8	modeling	model	VERB
cana-5307	22	9	irregular	irregular	ADJ
cana-5307	22	10	patterns	pattern	NOUN
cana-5307	22	11	and	and	CCONJ
cana-5307	22	12	dynamic	dynamic	ADJ
cana-5307	22	13	systems	system	NOUN
cana-5307	22	14	which	which	PRON
cana-5307	22	15	lead	lead	VERB
cana-5307	22	16	to	to	ADP
cana-5307	22	17	new	new	ADJ
cana-5307	22	18	explanations	explanation	NOUN
cana-5307	22	19	about	about	ADP
cana-5307	22	20	natural	natural	ADJ
cana-5307	22	21	system	system	NOUN
cana-5307	22	22	behavior	behavior	NOUN
cana-5307	22	23	that	that	PRON
cana-5307	22	24	includes	include	VERB
cana-5307	22	25	plant	plant	NOUN
cana-5307	22	26	growth	growth	NOUN
cana-5307	22	27	along	along	ADP
cana-5307	22	28	with	with	ADP
cana-5307	22	29	cloud	cloud	ADJ
cana-5307	22	30	formation	formation	NOUN
cana-5307	22	31	and	and	CCONJ
cana-5307	22	32	disease	disease	NOUN
cana-5307	22	33	spread	spread	VERB
cana-5307	22	34	.	.	PUNCT
cana-5307	23	1	through	through	ADP
cana-5307	23	2	this	this	DET
cana-5307	23	3	paper	paper	NOUN
cana-5307	23	4	the	the	DET
cana-5307	23	5	researchers	researcher	NOUN
cana-5307	23	6	will	will	AUX
cana-5307	23	7	demonstrate	demonstrate	VERB
cana-5307	23	8	how	how	SCONJ
cana-5307	23	9	each	each	DET
cana-5307	23	10	core	core	NOUN
cana-5307	23	11	principle	principle	NOUN
cana-5307	23	12	relates	relate	VERB
cana-5307	23	13	between	between	ADP
cana-5307	23	14	the	the	DET
cana-5307	23	15	two	two	NUM
cana-5307	23	16	disciplines	discipline	NOUN
cana-5307	23	17	as	as	ADV
cana-5307	23	18	well	well	ADV
cana-5307	23	19	as	as	ADP
cana-5307	23	20	expose	expose	VERB
cana-5307	23	21	their	their	PRON
cana-5307	23	22	practical	practical	ADJ
cana-5307	23	23	uses	use	NOUN
cana-5307	23	24	across	across	ADP
cana-5307	23	25	different	different	ADJ
cana-5307	23	26	scientific	scientific	ADJ
cana-5307	23	27	perspectives	perspective	NOUN
cana-5307	23	28	[	[	X
cana-5307	23	29	10	10	NUM
cana-5307	23	30	]	]	PUNCT
cana-5307	23	31	.	.	PUNCT
cana-5307	24	1	research	research	NOUN
cana-5307	24	2	on	on	ADP
cana-5307	24	3	fractals	fractal	NOUN
cana-5307	24	4	and	and	CCONJ
cana-5307	24	5	chaos	chaos	NOUN
cana-5307	24	6	theory	theory	NOUN
cana-5307	24	7	enabled	enable	VERB
cana-5307	24	8	both	both	DET
cana-5307	24	9	improvements	improvement	NOUN
cana-5307	24	10	in	in	ADP
cana-5307	24	11	theoretical	theoretical	ADJ
cana-5307	24	12	knowledge	knowledge	NOUN
cana-5307	24	13	and	and	CCONJ
cana-5307	24	14	delivery	delivery	NOUN
cana-5307	24	15	of	of	ADP
cana-5307	24	16	practical	practical	ADJ
cana-5307	24	17	solutions	solution	NOUN
cana-5307	24	18	throughout	throughout	ADP
cana-5307	24	19	different	different	ADJ
cana-5307	24	20	science	science	NOUN
cana-5307	24	21	-	-	PUNCT
cana-5307	24	22	related	relate	VERB
cana-5307	24	23	applications	application	NOUN
cana-5307	24	24	.	.	PUNCT
cana-5307	25	1	environmental	environmental	ADJ
cana-5307	25	2	science	science	PROPN
cana-5307	25	3	uses	use	VERB
cana-5307	25	4	fractal	fractal	ADJ
cana-5307	25	5	models	model	NOUN
cana-5307	25	6	to	to	PART
cana-5307	25	7	comprehend	comprehend	VERB
cana-5307	25	8	how	how	SCONJ
cana-5307	25	9	rivers	river	NOUN
cana-5307	25	10	along	along	ADP
cana-5307	25	11	with	with	ADP
cana-5307	25	12	coastlines	coastline	NOUN
cana-5307	25	13	and	and	CCONJ
cana-5307	25	14	forests	forest	NOUN
cana-5307	25	15	are	be	AUX
cana-5307	25	16	distributed	distribute	VERB
cana-5307	25	17	throughout	throughout	ADP
cana-5307	25	18	the	the	DET
cana-5307	25	19	environment	environment	NOUN
cana-5307	25	20	.	.	PUNCT
cana-5307	26	1	non	non	ADJ
cana-5307	26	2	-	-	ADJ
cana-5307	26	3	normal	normal	ADJ
cana-5307	26	4	branching	branch	VERB
cana-5307	26	5	patterns	pattern	NOUN
cana-5307	26	6	found	find	VERB
cana-5307	26	7	in	in	ADP
cana-5307	26	8	tree	tree	NOUN
cana-5307	26	9	growth	growth	NOUN
cana-5307	26	10	and	and	CCONJ
cana-5307	26	11	natural	natural	ADJ
cana-5307	26	12	land	land	NOUN
cana-5307	26	13	contours	contours	NOUN
cana-5307	26	14	could	could	AUX
cana-5307	26	15	not	not	PART
cana-5307	26	16	be	be	AUX
cana-5307	26	17	modeled	model	VERB
cana-5307	26	18	until	until	SCONJ
cana-5307	26	19	fractals	fractal	NOUN
cana-5307	26	20	became	become	VERB
cana-5307	26	21	available	available	ADJ
cana-5307	26	22	as	as	ADP
cana-5307	26	23	quantitative	quantitative	ADJ
cana-5307	26	24	representations	representation	NOUN
cana-5307	26	25	.	.	PUNCT
cana-5307	27	1	the	the	DET
cana-5307	27	2	application	application	NOUN
cana-5307	27	3	of	of	ADP
cana-5307	27	4	chaos	chaos	NOUN
cana-5307	27	5	theory	theory	NOUN
cana-5307	27	6	exists	exist	VERB
cana-5307	27	7	in	in	ADP
cana-5307	27	8	three	three	NUM
cana-5307	27	9	areas	area	NOUN
cana-5307	27	10	including	include	VERB
cana-5307	27	11	weather	weather	NOUN
cana-5307	27	12	prediction	prediction	NOUN
cana-5307	27	13	models	model	NOUN
cana-5307	27	14	as	as	ADV
cana-5307	27	15	well	well	ADV
cana-5307	27	16	as	as	ADP
cana-5307	27	17	biological	biological	ADJ
cana-5307	27	18	systems	system	NOUN
cana-5307	27	19	while	while	SCONJ
cana-5307	27	20	financial	financial	ADJ
cana-5307	27	21	markets	market	NOUN
cana-5307	27	22	show	show	VERB
cana-5307	27	23	unpredictable	unpredictable	ADJ
cana-5307	27	24	effects	effect	NOUN
cana-5307	27	25	from	from	ADP
cana-5307	27	26	small	small	ADJ
cana-5307	27	27	variations	variation	NOUN
cana-5307	28	1	[	[	X
cana-5307	28	2	9	9	NUM
cana-5307	28	3	]	]	PUNCT
cana-5307	28	4	.	.	PUNCT
cana-5307	29	1	the	the	DET
cana-5307	29	2	growth	growth	NOUN
cana-5307	29	3	of	of	ADP
cana-5307	29	4	plants	plant	NOUN
cana-5307	29	5	alongside	alongside	ADP
cana-5307	29	6	human	human	ADJ
cana-5307	29	7	circulatory	circulatory	ADJ
cana-5307	29	8	system	system	NOUN
cana-5307	29	9	functions	function	NOUN
cana-5307	29	10	are	be	AUX
cana-5307	29	11	explained	explain	VERB
cana-5307	29	12	through	through	ADP
cana-5307	29	13	biological	biological	ADJ
cana-5307	29	14	fractals	fractal	NOUN
cana-5307	29	15	that	that	PRON
cana-5307	29	16	illustrate	illustrate	VERB
cana-5307	29	17	the	the	DET
cana-5307	29	18	branching	branch	VERB
cana-5307	29	19	structure	structure	NOUN
cana-5307	29	20	aspects	aspect	NOUN
cana-5307	29	21	of	of	ADP
cana-5307	29	22	trees	tree	NOUN
cana-5307	29	23	and	and	CCONJ
cana-5307	29	24	blood	blood	NOUN
cana-5307	29	25	vessels	vessel	NOUN
cana-5307	29	26	and	and	CCONJ
cana-5307	29	27	additional	additional	ADJ
cana-5307	29	28	natural	natural	ADJ
cana-5307	29	29	forms	form	NOUN
cana-5307	29	30	[	[	X
cana-5307	29	31	14	14	NUM
cana-5307	29	32	]	]	PUNCT
cana-5307	29	33	.	.	PUNCT
cana-5307	30	1	gas	gas	NOUN
cana-5307	30	2	exchange	exchange	NOUN
cana-5307	30	3	functions	function	NOUN
cana-5307	30	4	optimally	optimally	ADV
cana-5307	30	5	because	because	SCONJ
cana-5307	30	6	the	the	DET
cana-5307	30	7	human	human	ADJ
cana-5307	30	8	lungs	lung	NOUN
cana-5307	30	9	possess	possess	VERB
cana-5307	30	10	fractal	fractal	ADJ
cana-5307	30	11	features	feature	NOUN
cana-5307	30	12	through	through	ADP
cana-5307	30	13	their	their	PRON
cana-5307	30	14	branching	branch	VERB
cana-5307	30	15	airway	airway	NOUN
cana-5307	30	16	network	network	NOUN
cana-5307	30	17	.	.	PUNCT
cana-5307	31	1	better	well	ADJ
cana-5307	31	2	detection	detection	NOUN
cana-5307	31	3	techniques	technique	NOUN
cana-5307	31	4	for	for	ADP
cana-5307	31	5	tumors	tumor	NOUN
cana-5307	31	6	and	and	CCONJ
cana-5307	31	7	blood	blood	NOUN
cana-5307	31	8	clots	clot	NOUN
cana-5307	31	9	emerged	emerge	VERB
cana-5307	31	10	through	through	ADP
cana-5307	31	11	scientific	scientific	ADJ
cana-5307	31	12	examinations	examination	NOUN
cana-5307	31	13	of	of	ADP
cana-5307	31	14	these	these	DET
cana-5307	31	15	natural	natural	ADJ
cana-5307	31	16	structures	structure	NOUN
cana-5307	31	17	.	.	PUNCT
cana-5307	32	1	the	the	DET
cana-5307	32	2	dynamic	dynamic	ADJ
cana-5307	32	3	behavior	behavior	NOUN
cana-5307	32	4	of	of	ADP
cana-5307	32	5	ecosystems	ecosystem	NOUN
cana-5307	32	6	depends	depend	VERB
cana-5307	32	7	on	on	ADP
cana-5307	32	8	chaos	chaos	NOUN
cana-5307	32	9	theory	theory	NOUN
cana-5307	32	10	to	to	PART
cana-5307	32	11	model	model	VERB
cana-5307	32	12	the	the	DET
cana-5307	32	13	system	system	NOUN
cana-5307	32	14	because	because	SCONJ
cana-5307	32	15	population	population	NOUN
cana-5307	32	16	changes	change	NOUN
cana-5307	32	17	of	of	ADP
cana-5307	32	18	any	any	DET
cana-5307	32	19	species	specie	NOUN
cana-5307	32	20	affect	affect	VERB
cana-5307	32	21	the	the	DET
cana-5307	32	22	entire	entire	ADJ
cana-5307	32	23	system	system	NOUN
cana-5307	32	24	in	in	ADP
cana-5307	32	25	major	major	ADJ
cana-5307	32	26	ways	way	NOUN
cana-5307	32	27	.	.	PUNCT
cana-5307	33	1	medicine	medicine	NOUN
cana-5307	33	2	professionals	professional	NOUN
cana-5307	33	3	employ	employ	VERB
cana-5307	33	4	both	both	PRON
cana-5307	33	5	fractal	fractal	ADJ
cana-5307	33	6	geometry	geometry	NOUN
cana-5307	33	7	and	and	CCONJ
cana-5307	33	8	chaos	chaos	NOUN
cana-5307	33	9	theory	theory	NOUN
cana-5307	33	10	during	during	ADP
cana-5307	33	11	disease	disease	NOUN
cana-5307	33	12	analysis	analysis	NOUN
cana-5307	33	13	.	.	PUNCT
cana-5307	34	1	fractal	fractal	ADJ
cana-5307	34	2	geometry	geometry	NOUN
cana-5307	34	3	assists	assist	VERB
cana-5307	34	4	scientists	scientist	NOUN
cana-5307	34	5	to	to	PART
cana-5307	34	6	model	model	NOUN
cana-5307	34	7	disease	disease	NOUN
cana-5307	34	8	development	development	NOUN
cana-5307	34	9	particularly	particularly	ADV
cana-5307	34	10	cancer	cancer	NOUN
cana-5307	34	11	because	because	SCONJ
cana-5307	34	12	it	it	PRON
cana-5307	34	13	lets	let	VERB
cana-5307	34	14	them	they	PRON
cana-5307	34	15	analyze	analyze	VERB
cana-5307	34	16	tumor	tumor	NOUN
cana-5307	34	17	expansion	expansion	NOUN
cana-5307	34	18	patterns	pattern	NOUN
cana-5307	34	19	.	.	PUNCT
cana-5307	35	1	meshing	meshing	NOUN
cana-5307	35	2	chaos	chaos	NOUN
cana-5307	35	3	theory	theory	NOUN
cana-5307	35	4	has	have	AUX
cana-5307	35	5	allowed	allow	VERB
cana-5307	35	6	scientists	scientist	NOUN
cana-5307	35	7	to	to	PART
cana-5307	35	8	analyze	analyze	VERB
cana-5307	35	9	cardiac	cardiac	ADJ
cana-5307	35	10	and	and	CCONJ
cana-5307	35	11	nervous	nervous	ADJ
cana-5307	35	12	system	system	NOUN
cana-5307	35	13	dynamics	dynamic	NOUN
cana-5307	35	14	through	through	ADP
cana-5307	35	15	which	which	PRON
cana-5307	35	16	little	little	ADJ
cana-5307	35	17	perturbations	perturbation	NOUN
cana-5307	35	18	cause	cause	VERB
cana-5307	35	19	unstable	unstable	ADJ
cana-5307	35	20	heart	heart	NOUN
cana-5307	35	21	and	and	CCONJ
cana-5307	35	22	brain	brain	NOUN
cana-5307	35	23	activities	activity	NOUN
cana-5307	35	24	that	that	PRON
cana-5307	35	25	are	be	AUX
cana-5307	35	26	hard	hard	ADJ
cana-5307	35	27	to	to	PART
cana-5307	35	28	anticipate	anticipate	VERB
cana-5307	35	29	yet	yet	ADV
cana-5307	35	30	follow	follow	VERB
cana-5307	35	31	structured	structured	ADJ
cana-5307	35	32	mathematical	mathematical	ADJ
cana-5307	35	33	rules	rule	NOUN
cana-5307	35	34	[	[	X
cana-5307	35	35	5	5	NUM
cana-5307	35	36	]	]	PUNCT
cana-5307	35	37	.	.	PUNCT
cana-5307	36	1	an	an	DET
cana-5307	36	2	extensive	extensive	ADJ
cana-5307	36	3	review	review	NOUN
cana-5307	36	4	of	of	ADP
cana-5307	36	5	theory	theory	NOUN
cana-5307	36	6	developments	development	NOUN
cana-5307	36	7	and	and	CCONJ
cana-5307	36	8	practical	practical	ADJ
cana-5307	36	9	applications	application	NOUN
cana-5307	36	10	and	and	CCONJ
cana-5307	36	11	overlapping	overlap	VERB
cana-5307	36	12	areas	area	NOUN
cana-5307	36	13	will	will	AUX
cana-5307	36	14	be	be	AUX
cana-5307	36	15	presented	present	VERB
cana-5307	36	16	for	for	ADP
cana-5307	36	17	these	these	DET
cana-5307	36	18	two	two	NUM
cana-5307	36	19	concepts	concept	NOUN
cana-5307	36	20	in	in	ADP
cana-5307	36	21	this	this	DET
cana-5307	36	22	paper	paper	NOUN
cana-5307	36	23	.	.	PUNCT
cana-5307	37	1	examples	example	NOUN
cana-5307	37	2	and	and	CCONJ
cana-5307	37	3	case	case	NOUN
cana-5307	37	4	studies	study	NOUN
cana-5307	37	5	demonstrate	demonstrate	VERB
cana-5307	37	6	that	that	SCONJ
cana-5307	37	7	fractal	fractal	ADJ
cana-5307	37	8	geometry	geometry	NOUN
cana-5307	37	9	together	together	ADV
cana-5307	37	10	with	with	ADP
cana-5307	37	11	chaos	chaos	NOUN
cana-5307	37	12	theory	theory	NOUN
cana-5307	37	13	enable	enable	VERB
cana-5307	37	14	the	the	DET
cana-5307	37	15	discovery	discovery	NOUN
cana-5307	37	16	of	of	ADP
cana-5307	37	17	new	new	ADJ
cana-5307	37	18	understanding	understanding	NOUN
cana-5307	37	19	regarding	regard	VERB
cana-5307	37	20	natural	natural	ADJ
cana-5307	37	21	procedures	procedure	NOUN
cana-5307	37	22	ranging	range	VERB
cana-5307	37	23	from	from	ADP
cana-5307	37	24	fluid	fluid	ADJ
cana-5307	37	25	behavior	behavior	NOUN
cana-5307	37	26	to	to	PART
cana-5307	37	27	galaxy	galaxy	VERB
cana-5307	37	28	development	development	NOUN
cana-5307	37	29	.	.	PUNCT
cana-5307	38	1	the	the	DET
cana-5307	38	2	paper	paper	NOUN
cana-5307	38	3	demonstrates	demonstrate	VERB
cana-5307	38	4	how	how	SCONJ
cana-5307	38	5	these	these	DET
cana-5307	38	6	theories	theory	NOUN
cana-5307	38	7	improve	improve	VERB
cana-5307	38	8	understanding	understanding	NOUN
cana-5307	38	9	of	of	ADP
cana-5307	38	10	natural	natural	ADJ
cana-5307	38	11	complexity	complexity	NOUN
cana-5307	38	12	and	and	CCONJ
cana-5307	38	13	present	present	ADJ
cana-5307	38	14	novel	novel	ADJ
cana-5307	38	15	solutions	solution	NOUN
cana-5307	38	16	for	for	ADP
cana-5307	38	17	resolving	resolve	VERB
cana-5307	38	18	actual	actual	ADJ
cana-5307	38	19	world	world	NOUN
cana-5307	38	20	issues	issue	NOUN
cana-5307	38	21	.	.	PUNCT
cana-5307	39	1	novelty	novelty	NOUN
cana-5307	39	2	and	and	CCONJ
cana-5307	39	3	contribution	contribution	NOUN
cana-5307	39	4	this	this	DET
cana-5307	39	5	paper	paper	NOUN
cana-5307	39	6	establishes	establish	VERB
cana-5307	39	7	novelty	novelty	NOUN
cana-5307	39	8	through	through	ADP
cana-5307	39	9	its	its	PRON
cana-5307	39	10	method	method	NOUN
cana-5307	39	11	of	of	ADP
cana-5307	39	12	joining	join	VERB
cana-5307	39	13	fractal	fractal	ADJ
cana-5307	39	14	geometry	geometry	NOUN
cana-5307	39	15	with	with	ADP
cana-5307	39	16	chaos	chaos	NOUN
cana-5307	39	17	theory	theory	NOUN
cana-5307	39	18	to	to	PART
cana-5307	39	19	show	show	VERB
cana-5307	39	20	dual	dual	ADJ
cana-5307	39	21	field	field	NOUN
cana-5307	39	22	applications	application	NOUN
cana-5307	39	23	for	for	ADP
cana-5307	39	24	understanding	understand	VERB
cana-5307	39	25	intricate	intricate	ADJ
cana-5307	39	26	natural	natural	ADJ
cana-5307	39	27	processes	process	NOUN
cana-5307	39	28	.	.	PUNCT
cana-5307	40	1	different	different	ADJ
cana-5307	40	2	scholars	scholar	NOUN
cana-5307	40	3	have	have	AUX
cana-5307	40	4	studied	study	VERB
cana-5307	40	5	fractal	fractal	ADJ
cana-5307	40	6	geometry	geometry	NOUN
cana-5307	40	7	and	and	CCONJ
cana-5307	40	8	chaos	chaos	NOUN
cana-5307	40	9	theory	theory	NOUN
cana-5307	40	10	independently	independently	ADV
cana-5307	40	11	throughout	throughout	ADP
cana-5307	40	12	the	the	DET
cana-5307	40	13	literature	literature	NOUN
cana-5307	40	14	communications	communication	NOUN
cana-5307	40	15	on	on	ADP
cana-5307	40	16	applied	apply	VERB
cana-5307	40	17	nonlinear	nonlinear	ADJ
cana-5307	40	18	analysis	analysis	NOUN
cana-5307	40	19	issn	issn	NOUN
cana-5307	40	20	:	:	PUNCT
cana-5307	40	21	1074	1074	NUM
cana-5307	40	22	-	-	PUNCT
cana-5307	40	23	133x	133x	NUM
cana-5307	40	24	vol	vol	NOUN
cana-5307	40	25	31	31	NUM
cana-5307	40	26	no	no	NOUN
cana-5307	40	27	.	.	PUNCT
cana-5307	41	1	2s	2s	NUM
cana-5307	41	2	(	(	PUNCT
cana-5307	41	3	2024	2024	NUM
cana-5307	41	4	)	)	PUNCT
cana-5307	41	5	731	731	NUM
cana-5307	41	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5307	41	7	yet	yet	ADV
cana-5307	41	8	researchers	researcher	NOUN
cana-5307	41	9	have	have	AUX
cana-5307	41	10	only	only	ADV
cana-5307	41	11	sparsely	sparsely	ADV
cana-5307	41	12	investigated	investigate	VERB
cana-5307	41	13	their	their	PRON
cana-5307	41	14	unified	unified	ADJ
cana-5307	41	15	framework	framework	NOUN
cana-5307	41	16	.	.	PUNCT
cana-5307	42	1	through	through	ADP
cana-5307	42	2	their	their	PRON
cana-5307	42	3	joint	joint	ADJ
cana-5307	42	4	evaluation	evaluation	NOUN
cana-5307	42	5	this	this	DET
cana-5307	42	6	paper	paper	NOUN
cana-5307	42	7	introduces	introduce	VERB
cana-5307	42	8	a	a	DET
cana-5307	42	9	modern	modern	ADJ
cana-5307	42	10	theory	theory	NOUN
cana-5307	42	11	which	which	PRON
cana-5307	42	12	examines	examine	VERB
cana-5307	42	13	mathematical	mathematical	ADJ
cana-5307	42	14	and	and	CCONJ
cana-5307	42	15	theoretical	theoretical	ADJ
cana-5307	42	16	aspects	aspect	NOUN
cana-5307	42	17	of	of	ADP
cana-5307	42	18	complex	complex	ADJ
cana-5307	42	19	natural	natural	ADJ
cana-5307	42	20	systems	system	NOUN
cana-5307	42	21	and	and	CCONJ
cana-5307	42	22	describes	describe	VERB
cana-5307	42	23	how	how	SCONJ
cana-5307	42	24	they	they	PRON
cana-5307	42	25	function	function	VERB
cana-5307	42	26	together	together	ADV
cana-5307	42	27	for	for	ADP
cana-5307	42	28	complete	complete	ADJ
cana-5307	42	29	natural	natural	ADJ
cana-5307	42	30	complexity	complexity	NOUN
cana-5307	42	31	insight	insight	NOUN
cana-5307	42	32	[	[	X
cana-5307	42	33	8	8	NUM
cana-5307	42	34	]	]	PUNCT
cana-5307	42	35	.	.	PUNCT
cana-5307	43	1	the	the	DET
cana-5307	43	2	main	main	ADJ
cana-5307	43	3	contribution	contribution	NOUN
cana-5307	43	4	of	of	ADP
cana-5307	43	5	this	this	DET
cana-5307	43	6	paper	paper	NOUN
cana-5307	43	7	includes	include	VERB
cana-5307	43	8	exploring	explore	VERB
cana-5307	43	9	real	real	ADJ
cana-5307	43	10	-	-	PUNCT
cana-5307	43	11	world	world	NOUN
cana-5307	43	12	scientific	scientific	ADJ
cana-5307	43	13	applications	application	NOUN
cana-5307	43	14	across	across	ADP
cana-5307	43	15	numerous	numerous	ADJ
cana-5307	43	16	scientific	scientific	ADJ
cana-5307	43	17	fields	field	NOUN
cana-5307	43	18	.	.	PUNCT
cana-5307	44	1	this	this	DET
cana-5307	44	2	research	research	NOUN
cana-5307	44	3	uses	use	VERB
cana-5307	44	4	biological	biological	ADJ
cana-5307	44	5	and	and	CCONJ
cana-5307	44	6	meteorological	meteorological	ADJ
cana-5307	44	7	and	and	CCONJ
cana-5307	44	8	medical	medical	ADJ
cana-5307	44	9	and	and	CCONJ
cana-5307	44	10	environmental	environmental	ADJ
cana-5307	44	11	science	science	NOUN
cana-5307	44	12	examples	example	NOUN
cana-5307	44	13	to	to	PART
cana-5307	44	14	prove	prove	VERB
cana-5307	44	15	fractal	fractal	ADJ
cana-5307	44	16	geometry	geometry	NOUN
cana-5307	44	17	and	and	CCONJ
cana-5307	44	18	chaos	chaos	NOUN
cana-5307	44	19	theory	theory	NOUN
cana-5307	44	20	operate	operate	VERB
cana-5307	44	21	as	as	ADP
cana-5307	44	22	functional	functional	ADJ
cana-5307	44	23	solutions	solution	NOUN
cana-5307	44	24	for	for	ADP
cana-5307	44	25	current	current	ADJ
cana-5307	44	26	global	global	ADJ
cana-5307	44	27	problems	problem	NOUN
cana-5307	44	28	.	.	PUNCT
cana-5307	45	1	the	the	DET
cana-5307	45	2	record	record	NOUN
cana-5307	45	3	presents	present	VERB
cana-5307	45	4	real	real	ADJ
cana-5307	45	5	-	-	PUNCT
cana-5307	45	6	world	world	NOUN
cana-5307	45	7	examples	example	NOUN
cana-5307	45	8	that	that	PRON
cana-5307	45	9	illustrate	illustrate	VERB
cana-5307	45	10	model	model	NOUN
cana-5307	45	11	creation	creation	NOUN
cana-5307	45	12	when	when	SCONJ
cana-5307	45	13	targeting	target	VERB
cana-5307	45	14	irregular	irregular	ADJ
cana-5307	45	15	phenomena	phenomenon	NOUN
cana-5307	45	16	which	which	PRON
cana-5307	45	17	traditional	traditional	ADJ
cana-5307	45	18	methods	method	NOUN
cana-5307	45	19	could	could	AUX
cana-5307	45	20	not	not	PART
cana-5307	45	21	effectively	effectively	ADV
cana-5307	45	22	examine	examine	VERB
cana-5307	45	23	before	before	ADP
cana-5307	45	24	[	[	X
cana-5307	45	25	2	2	NUM
cana-5307	45	26	]	]	PUNCT
cana-5307	45	27	.	.	PUNCT
cana-5307	46	1	the	the	DET
cana-5307	46	2	paper	paper	NOUN
cana-5307	46	3	investigates	investigate	VERB
cana-5307	46	4	factual	factual	ADJ
cana-5307	46	5	geometry	geometry	NOUN
cana-5307	46	6	and	and	CCONJ
cana-5307	46	7	chaos	chaos	NOUN
cana-5307	46	8	theory	theory	NOUN
cana-5307	46	9	concepts	concept	NOUN
cana-5307	46	10	to	to	PART
cana-5307	46	11	generate	generate	VERB
cana-5307	46	12	new	new	ADJ
cana-5307	46	13	research	research	NOUN
cana-5307	46	14	momentum	momentum	NOUN
cana-5307	46	15	in	in	ADP
cana-5307	46	16	this	this	DET
cana-5307	46	17	field	field	NOUN
cana-5307	46	18	while	while	SCONJ
cana-5307	46	19	promoting	promote	VERB
cana-5307	46	20	the	the	DET
cana-5307	46	21	development	development	NOUN
cana-5307	46	22	of	of	ADP
cana-5307	46	23	improved	improved	ADJ
cana-5307	46	24	models	model	NOUN
cana-5307	46	25	which	which	PRON
cana-5307	46	26	characterize	characterize	VERB
cana-5307	46	27	natural	natural	ADJ
cana-5307	46	28	systems	system	NOUN
cana-5307	46	29	complexity	complexity	NOUN
cana-5307	46	30	more	more	ADV
cana-5307	46	31	effectively	effectively	ADV
cana-5307	46	32	.	.	PUNCT
cana-5307	47	1	research	research	NOUN
cana-5307	47	2	combining	combine	VERB
cana-5307	47	3	these	these	DET
cana-5307	47	4	two	two	NUM
cana-5307	47	5	advanced	advanced	ADJ
cana-5307	47	6	frameworks	framework	NOUN
cana-5307	47	7	allows	allow	VERB
cana-5307	47	8	scientists	scientist	NOUN
cana-5307	47	9	to	to	PART
cana-5307	47	10	reach	reach	VERB
cana-5307	47	11	new	new	ADJ
cana-5307	47	12	breakthroughs	breakthrough	NOUN
cana-5307	47	13	in	in	ADP
cana-5307	47	14	environmental	environmental	ADJ
cana-5307	47	15	science	science	NOUN
cana-5307	47	16	plus	plus	CCONJ
cana-5307	47	17	medicine	medicine	NOUN
cana-5307	47	18	and	and	CCONJ
cana-5307	47	19	social	social	ADJ
cana-5307	47	20	system	system	NOUN
cana-5307	47	21	studies	study	NOUN
cana-5307	47	22	based	base	VERB
cana-5307	47	23	on	on	ADP
cana-5307	47	24	their	their	PRON
cana-5307	47	25	unpredictable	unpredictable	ADJ
cana-5307	47	26	nature	nature	NOUN
cana-5307	47	27	.	.	PUNCT
cana-5307	48	1	this	this	DET
cana-5307	48	2	paper	paper	NOUN
cana-5307	48	3	lays	lay	VERB
cana-5307	48	4	down	down	ADP
cana-5307	48	5	groundwork	groundwork	NOUN
cana-5307	48	6	for	for	ADP
cana-5307	48	7	research	research	NOUN
cana-5307	48	8	teams	team	NOUN
cana-5307	48	9	to	to	PART
cana-5307	48	10	explore	explore	VERB
cana-5307	48	11	natural	natural	ADJ
cana-5307	48	12	and	and	CCONJ
cana-5307	48	13	dynamic	dynamic	ADJ
cana-5307	48	14	systems	system	NOUN
cana-5307	48	15	using	use	VERB
cana-5307	48	16	fractal	fractal	ADJ
cana-5307	48	17	and	and	CCONJ
cana-5307	48	18	chaotic	chaotic	ADJ
cana-5307	48	19	models	model	NOUN
cana-5307	48	20	in	in	ADP
cana-5307	48	21	future	future	ADJ
cana-5307	48	22	studies	study	NOUN
cana-5307	48	23	[	[	X
cana-5307	48	24	6	6	NUM
cana-5307	48	25	]	]	PUNCT
cana-5307	48	26	.	.	PUNCT
cana-5307	49	1	ii	ii	PROPN
cana-5307	49	2	.	.	PROPN
cana-5307	49	3	related	relate	VERB
cana-5307	49	4	works	work	NOUN
cana-5307	49	5	in	in	ADP
cana-5307	49	6	2023	2023	NUM
cana-5307	49	7	z.	z.	X
cana-5307	49	8	çalim	çalim	PROPN
cana-5307	49	9	et.al	et.al	PROPN
cana-5307	49	10	.	.	PUNCT
cana-5307	49	11	,	,	PUNCT
cana-5307	50	1	[	[	X
cana-5307	50	2	13	13	NUM
cana-5307	50	3	]	]	PUNCT
cana-5307	50	4	proposed	propose	VERB
cana-5307	50	5	the	the	DET
cana-5307	50	6	two	two	NUM
cana-5307	50	7	theories	theory	NOUN
cana-5307	50	8	have	have	AUX
cana-5307	50	9	achieved	achieve	VERB
cana-5307	50	10	substantial	substantial	ADJ
cana-5307	50	11	growth	growth	NOUN
cana-5307	50	12	during	during	ADP
cana-5307	50	13	recent	recent	ADJ
cana-5307	50	14	decades	decade	NOUN
cana-5307	50	15	while	while	SCONJ
cana-5307	50	16	their	their	PRON
cana-5307	50	17	applications	application	NOUN
cana-5307	50	18	grew	grow	VERB
cana-5307	50	19	to	to	PART
cana-5307	50	20	encompass	encompass	VERB
cana-5307	50	21	various	various	ADJ
cana-5307	50	22	fields	field	NOUN
cana-5307	50	23	including	include	VERB
cana-5307	50	24	biology	biology	NOUN
cana-5307	50	25	and	and	CCONJ
cana-5307	50	26	physics	physics	NOUN
cana-5307	50	27	along	along	ADP
cana-5307	50	28	with	with	ADP
cana-5307	50	29	economics	economic	NOUN
cana-5307	50	30	and	and	CCONJ
cana-5307	50	31	environmental	environmental	ADJ
cana-5307	50	32	science	science	NOUN
cana-5307	50	33	.	.	PUNCT
cana-5307	51	1	in	in	ADP
cana-5307	51	2	2024	2024	NUM
cana-5307	51	3	e.	e.	PROPN
cana-5307	51	4	adediran	adediran	PROPN
cana-5307	51	5	et.al	et.al	PROPN
cana-5307	51	6	.	.	PUNCT
cana-5307	51	7	,	,	PUNCT
cana-5307	51	8	[	[	X
cana-5307	51	9	1	1	X
cana-5307	51	10	]	]	PUNCT
cana-5307	51	11	suggested	suggest	VERB
cana-5307	51	12	the	the	DET
cana-5307	51	13	students	student	NOUN
cana-5307	51	14	in	in	ADP
cana-5307	51	15	biology	biology	NOUN
cana-5307	51	16	implement	implement	VERB
cana-5307	51	17	fractals	fractal	NOUN
cana-5307	51	18	in	in	ADP
cana-5307	51	19	research	research	NOUN
cana-5307	51	20	studies	study	NOUN
cana-5307	51	21	to	to	PART
cana-5307	51	22	monitor	monitor	VERB
cana-5307	51	23	plant	plant	NOUN
cana-5307	51	24	growth	growth	NOUN
cana-5307	51	25	patterns	pattern	NOUN
cana-5307	51	26	as	as	ADV
cana-5307	51	27	well	well	ADV
cana-5307	51	28	as	as	ADP
cana-5307	51	29	study	study	VERB
cana-5307	51	30	vascular	vascular	ADJ
cana-5307	51	31	networks	network	NOUN
cana-5307	51	32	and	and	CCONJ
cana-5307	51	33	cellular	cellular	ADJ
cana-5307	51	34	tissue	tissue	NOUN
cana-5307	51	35	distribution	distribution	NOUN
cana-5307	51	36	patterns	pattern	NOUN
cana-5307	51	37	.	.	PUNCT
cana-5307	52	1	both	both	PRON
cana-5307	52	2	tree	tree	NOUN
cana-5307	52	3	branches	branch	NOUN
cana-5307	52	4	and	and	CCONJ
cana-5307	52	5	blood	blood	NOUN
cana-5307	52	6	vessel	vessel	NOUN
cana-5307	52	7	structures	structure	NOUN
cana-5307	52	8	develop	develop	VERB
cana-5307	52	9	patterns	pattern	NOUN
cana-5307	52	10	of	of	ADP
cana-5307	52	11	self	self	NOUN
cana-5307	52	12	-	-	PUNCT
cana-5307	52	13	similarity	similarity	NOUN
cana-5307	52	14	which	which	PRON
cana-5307	52	15	provides	provide	VERB
cana-5307	52	16	suitable	suitable	ADJ
cana-5307	52	17	opportunities	opportunity	NOUN
cana-5307	52	18	for	for	ADP
cana-5307	52	19	fractal	fractal	ADJ
cana-5307	52	20	analysis	analysis	NOUN
cana-5307	52	21	.	.	PUNCT
cana-5307	53	1	research	research	NOUN
cana-5307	53	2	in	in	ADP
cana-5307	53	3	this	this	DET
cana-5307	53	4	field	field	NOUN
cana-5307	53	5	enabled	enable	VERB
cana-5307	53	6	scientists	scientist	NOUN
cana-5307	53	7	to	to	PART
cana-5307	53	8	observe	observe	VERB
cana-5307	53	9	the	the	DET
cana-5307	53	10	development	development	NOUN
cana-5307	53	11	of	of	ADP
cana-5307	53	12	complex	complex	ADJ
cana-5307	53	13	forms	form	NOUN
cana-5307	53	14	from	from	ADP
cana-5307	53	15	repetitive	repetitive	ADJ
cana-5307	53	16	systems	system	NOUN
cana-5307	53	17	which	which	PRON
cana-5307	53	18	subsequently	subsequently	ADV
cana-5307	53	19	led	lead	VERB
cana-5307	53	20	to	to	ADP
cana-5307	53	21	more	more	ADV
cana-5307	53	22	efficient	efficient	ADJ
cana-5307	53	23	bioengineering	bioengineering	NOUN
cana-5307	53	24	models	model	NOUN
cana-5307	53	25	of	of	ADP
cana-5307	53	26	growth	growth	NOUN
cana-5307	53	27	distribution	distribution	NOUN
cana-5307	53	28	in	in	ADP
cana-5307	53	29	biological	biological	ADJ
cana-5307	53	30	systems	system	NOUN
cana-5307	53	31	.	.	PUNCT
cana-5307	54	1	chaos	chaos	NOUN
cana-5307	54	2	theory	theory	NOUN
cana-5307	54	3	analyzes	analyze	VERB
cana-5307	54	4	the	the	DET
cana-5307	54	5	dynamic	dynamic	ADJ
cana-5307	54	6	biological	biological	ADJ
cana-5307	54	7	processes	process	NOUN
cana-5307	54	8	by	by	ADP
cana-5307	54	9	studying	study	VERB
cana-5307	54	10	neural	neural	ADJ
cana-5307	54	11	and	and	CCONJ
cana-5307	54	12	cardiac	cardiac	ADJ
cana-5307	54	13	electric	electric	ADJ
cana-5307	54	14	signal	signal	NOUN
cana-5307	54	15	activity	activity	NOUN
cana-5307	54	16	.	.	PUNCT
cana-5307	55	1	minor	minor	ADJ
cana-5307	55	2	interruptions	interruption	NOUN
cana-5307	55	3	in	in	ADP
cana-5307	55	4	biological	biological	ADJ
cana-5307	55	5	systems	system	NOUN
cana-5307	55	6	result	result	VERB
cana-5307	55	7	in	in	ADP
cana-5307	55	8	unpredictable	unpredictable	ADJ
cana-5307	55	9	significant	significant	ADJ
cana-5307	55	10	changes	change	NOUN
cana-5307	55	11	that	that	PRON
cana-5307	55	12	scientists	scientist	NOUN
cana-5307	55	13	find	find	VERB
cana-5307	55	14	in	in	ADP
cana-5307	55	15	patterns	pattern	NOUN
cana-5307	55	16	like	like	ADP
cana-5307	55	17	arrhythmias	arrhythmia	NOUN
cana-5307	55	18	together	together	ADV
cana-5307	55	19	with	with	ADP
cana-5307	55	20	neural	neural	ADJ
cana-5307	55	21	activity	activity	NOUN
cana-5307	55	22	.	.	PUNCT
cana-5307	56	1	within	within	ADP
cana-5307	56	2	meteorology	meteorology	NOUN
cana-5307	56	3	fractal	fractal	NOUN
cana-5307	56	4	geometry	geometry	NOUN
cana-5307	56	5	serves	serve	VERB
cana-5307	56	6	to	to	PART
cana-5307	56	7	analyze	analyze	VERB
cana-5307	56	8	both	both	DET
cana-5307	56	9	cloud	cloud	ADJ
cana-5307	56	10	formations	formation	NOUN
cana-5307	56	11	as	as	ADV
cana-5307	56	12	well	well	ADV
cana-5307	56	13	as	as	ADP
cana-5307	56	14	precipitation	precipitation	NOUN
cana-5307	56	15	systems	system	NOUN
cana-5307	56	16	and	and	CCONJ
cana-5307	56	17	atmospheric	atmospheric	ADJ
cana-5307	56	18	weather	weather	NOUN
cana-5307	56	19	events	event	NOUN
cana-5307	56	20	.	.	PUNCT
cana-5307	57	1	most	most	ADJ
cana-5307	57	2	complex	complex	ADJ
cana-5307	57	3	systems	system	NOUN
cana-5307	57	4	demonstrate	demonstrate	VERB
cana-5307	57	5	fractal	fractal	ADJ
cana-5307	57	6	behavior	behavior	NOUN
cana-5307	57	7	since	since	SCONJ
cana-5307	57	8	patterns	pattern	NOUN
cana-5307	57	9	extend	extend	VERB
cana-5307	57	10	their	their	PRON
cana-5307	57	11	designs	design	NOUN
cana-5307	57	12	throughout	throughout	ADP
cana-5307	57	13	multiple	multiple	ADJ
cana-5307	57	14	scale	scale	NOUN
cana-5307	57	15	ranges	range	NOUN
cana-5307	57	16	.	.	PUNCT
cana-5307	58	1	researchers	researcher	NOUN
cana-5307	58	2	use	use	VERB
cana-5307	58	3	fractal	fractal	ADJ
cana-5307	58	4	models	model	NOUN
cana-5307	58	5	to	to	PART
cana-5307	58	6	enhance	enhance	VERB
cana-5307	58	7	weather	weather	NOUN
cana-5307	58	8	prediction	prediction	NOUN
cana-5307	58	9	models	model	NOUN
cana-5307	58	10	and	and	CCONJ
cana-5307	58	11	acquire	acquire	VERB
cana-5307	58	12	better	well	ADJ
cana-5307	58	13	knowledge	knowledge	NOUN
cana-5307	58	14	about	about	ADP
cana-5307	58	15	the	the	DET
cana-5307	58	16	natural	natural	ADJ
cana-5307	58	17	processes	process	NOUN
cana-5307	58	18	which	which	PRON
cana-5307	58	19	control	control	VERB
cana-5307	58	20	complex	complex	ADJ
cana-5307	58	21	systems	system	NOUN
cana-5307	58	22	.	.	PUNCT
cana-5307	59	1	scientists	scientist	NOUN
cana-5307	59	2	studying	study	VERB
cana-5307	59	3	chaos	chaos	NOUN
cana-5307	59	4	theory	theory	NOUN
cana-5307	59	5	observe	observe	VERB
cana-5307	59	6	that	that	SCONJ
cana-5307	59	7	pattern	pattern	NOUN
cana-5307	59	8	shifts	shift	NOUN
cana-5307	59	9	because	because	SCONJ
cana-5307	59	10	of	of	ADP
cana-5307	59	11	initial	initial	ADJ
cana-5307	59	12	weather	weather	NOUN
cana-5307	59	13	conditions	condition	NOUN
cana-5307	59	14	lead	lead	VERB
cana-5307	59	15	to	to	ADP
cana-5307	59	16	observable	observable	ADJ
cana-5307	59	17	clear	clear	ADJ
cana-5307	59	18	weather	weather	NOUN
cana-5307	59	19	system	system	NOUN
cana-5307	59	20	behavior	behavior	NOUN
cana-5307	59	21	patterns	pattern	NOUN
cana-5307	59	22	.	.	PUNCT
cana-5307	60	1	the	the	DET
cana-5307	60	2	representation	representation	NOUN
cana-5307	60	3	of	of	ADP
cana-5307	60	4	butterfly	butterfly	NOUN
cana-5307	60	5	effect	effect	NOUN
cana-5307	60	6	shows	show	VERB
cana-5307	60	7	that	that	SCONJ
cana-5307	60	8	slight	slight	ADJ
cana-5307	60	9	atmospheric	atmospheric	ADJ
cana-5307	60	10	changes	change	NOUN
cana-5307	60	11	can	can	AUX
cana-5307	60	12	produce	produce	VERB
cana-5307	60	13	important	important	ADJ
cana-5307	60	14	outcome	outcome	NOUN
cana-5307	60	15	deviations	deviation	NOUN
cana-5307	60	16	resulting	result	VERB
cana-5307	60	17	in	in	ADP
cana-5307	60	18	problematic	problematic	ADJ
cana-5307	60	19	longterm	longterm	NOUN
cana-5307	60	20	weather	weather	NOUN
cana-5307	60	21	prediction	prediction	NOUN
cana-5307	60	22	accuracy	accuracy	NOUN
cana-5307	60	23	.	.	PUNCT
cana-5307	61	1	in	in	ADP
cana-5307	61	2	2021	2021	NUM
cana-5307	61	3	t.	t.	PROPN
cana-5307	61	4	n.	n.	PROPN
cana-5307	61	5	palmer	palmer	PROPN
cana-5307	61	6	et.al	et.al	PROPN
cana-5307	61	7	.	.	PUNCT
cana-5307	61	8	,	,	PUNCT
cana-5307	61	9	[	[	X
cana-5307	61	10	3	3	X
cana-5307	61	11	]	]	PUNCT
cana-5307	61	12	introduced	introduce	VERB
cana-5307	61	13	the	the	DET
cana-5307	61	14	experimental	experimental	ADJ
cana-5307	61	15	scientists	scientist	NOUN
cana-5307	61	16	employ	employ	VERB
cana-5307	61	17	fractal	fractal	ADJ
cana-5307	61	18	models	model	NOUN
cana-5307	61	19	to	to	PART
cana-5307	61	20	produce	produce	VERB
cana-5307	61	21	descriptions	description	NOUN
cana-5307	61	22	about	about	ADP
cana-5307	61	23	elusive	elusive	ADJ
cana-5307	61	24	relationships	relationship	NOUN
cana-5307	61	25	between	between	ADP
cana-5307	61	26	vegetation	vegetation	NOUN
cana-5307	61	27	distributions	distribution	NOUN
cana-5307	61	28	and	and	CCONJ
cana-5307	61	29	water	water	NOUN
cana-5307	61	30	features	feature	NOUN
cana-5307	61	31	and	and	CCONJ
cana-5307	61	32	topographic	topographic	NOUN
cana-5307	61	33	features	feature	NOUN
cana-5307	61	34	in	in	ADP
cana-5307	61	35	ecosystems	ecosystem	NOUN
cana-5307	61	36	.	.	PUNCT
cana-5307	62	1	scientific	scientific	ADJ
cana-5307	62	2	research	research	NOUN
cana-5307	62	3	confirms	confirm	VERB
cana-5307	62	4	fractal	fractal	ADJ
cana-5307	62	5	nature	nature	NOUN
cana-5307	62	6	functions	function	NOUN
cana-5307	62	7	as	as	ADP
cana-5307	62	8	the	the	DET
cana-5307	62	9	key	key	NOUN
cana-5307	62	10	to	to	PART
cana-5307	62	11	achieve	achieve	VERB
cana-5307	62	12	full	full	ADJ
cana-5307	62	13	system	system	NOUN
cana-5307	62	14	analysis	analysis	NOUN
cana-5307	62	15	of	of	ADP
cana-5307	62	16	complex	complex	ADJ
cana-5307	62	17	structures	structure	NOUN
cana-5307	62	18	.	.	PUNCT
cana-5307	63	1	research	research	NOUN
cana-5307	63	2	conducted	conduct	VERB
cana-5307	63	3	under	under	ADP
cana-5307	63	4	chaos	chaos	NOUN
cana-5307	63	5	theory	theory	NOUN
cana-5307	63	6	allows	allow	VERB
cana-5307	63	7	experts	expert	NOUN
cana-5307	63	8	to	to	PART
cana-5307	63	9	monitor	monitor	VERB
cana-5307	63	10	the	the	DET
cana-5307	63	11	point	point	NOUN
cana-5307	63	12	when	when	SCONJ
cana-5307	63	13	ecological	ecological	ADJ
cana-5307	63	14	systems	system	NOUN
cana-5307	63	15	communications	communication	NOUN
cana-5307	63	16	on	on	ADP
cana-5307	63	17	applied	apply	VERB
cana-5307	63	18	nonlinear	nonlinear	ADJ
cana-5307	63	19	analysis	analysis	NOUN
cana-5307	63	20	issn	issn	NOUN
cana-5307	63	21	:	:	PUNCT
cana-5307	63	22	1074	1074	NUM
cana-5307	63	23	-	-	PUNCT
cana-5307	63	24	133x	133x	NUM
cana-5307	63	25	vol	vol	NOUN
cana-5307	63	26	31	31	NUM
cana-5307	63	27	no	no	NOUN
cana-5307	63	28	.	.	PUNCT
cana-5307	64	1	2s	2s	NUM
cana-5307	64	2	(	(	PUNCT
cana-5307	64	3	2024	2024	NUM
cana-5307	64	4	)	)	PUNCT
cana-5307	64	5	732	732	NUM
cana-5307	64	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5307	64	7	become	become	VERB
cana-5307	64	8	too	too	ADV
cana-5307	64	9	unpredictable	unpredictable	ADJ
cana-5307	64	10	for	for	ADP
cana-5307	64	11	behavioral	behavioral	ADJ
cana-5307	64	12	forecasts	forecast	NOUN
cana-5307	64	13	.	.	PUNCT
cana-5307	65	1	ecological	ecological	ADJ
cana-5307	65	2	sustainability	sustainability	NOUN
cana-5307	65	3	becomes	become	VERB
cana-5307	65	4	impossible	impossible	ADJ
cana-5307	65	5	to	to	PART
cana-5307	65	6	predict	predict	VERB
cana-5307	65	7	because	because	SCONJ
cana-5307	65	8	system	system	NOUN
cana-5307	65	9	-	-	PUNCT
cana-5307	65	10	wide	wide	ADJ
cana-5307	65	11	modifications	modification	NOUN
cana-5307	65	12	happen	happen	VERB
cana-5307	65	13	from	from	ADP
cana-5307	65	14	alterations	alteration	NOUN
cana-5307	65	15	at	at	ADP
cana-5307	65	16	any	any	DET
cana-5307	65	17	dimension	dimension	NOUN
cana-5307	65	18	within	within	ADP
cana-5307	65	19	ecosystems	ecosystem	NOUN
cana-5307	65	20	thus	thus	ADV
cana-5307	65	21	causing	cause	VERB
cana-5307	65	22	permanent	permanent	ADJ
cana-5307	65	23	changes	change	NOUN
cana-5307	65	24	to	to	ADP
cana-5307	65	25	multiple	multiple	ADJ
cana-5307	65	26	operational	operational	ADJ
cana-5307	65	27	areas	area	NOUN
cana-5307	65	28	.	.	PUNCT
cana-5307	66	1	scientific	scientific	ADJ
cana-5307	66	2	research	research	NOUN
cana-5307	66	3	in	in	ADP
cana-5307	66	4	fluid	fluid	ADJ
cana-5307	66	5	mechanics	mechanic	NOUN
cana-5307	66	6	and	and	CCONJ
cana-5307	66	7	climatology	climatology	NOUN
cana-5307	66	8	shows	show	VERB
cana-5307	66	9	effectiveness	effectiveness	NOUN
cana-5307	66	10	because	because	SCONJ
cana-5307	66	11	complex	complex	ADJ
cana-5307	66	12	systems	system	NOUN
cana-5307	66	13	use	use	VERB
cana-5307	66	14	fractals	fractal	NOUN
cana-5307	66	15	along	along	ADV
cana-5307	66	16	with	with	ADP
cana-5307	66	17	chaotic	chaotic	ADJ
cana-5307	66	18	dynamics	dynamic	NOUN
cana-5307	66	19	.	.	PUNCT
cana-5307	67	1	iii	iii	X
cana-5307	67	2	.	.	PROPN
cana-5307	67	3	proposed	propose	VERB
cana-5307	67	4	methodology	methodology	NOUN
cana-5307	67	5	the	the	DET
cana-5307	67	6	data	data	NOUN
cana-5307	67	7	acquisition	acquisition	NOUN
cana-5307	67	8	process	process	NOUN
cana-5307	67	9	starts	start	VERB
cana-5307	67	10	with	with	ADP
cana-5307	67	11	studying	study	VERB
cana-5307	67	12	natural	natural	ADJ
cana-5307	67	13	phenomena	phenomenon	NOUN
cana-5307	67	14	followed	follow	VERB
cana-5307	67	15	by	by	ADP
cana-5307	67	16	preprocessing	preprocesse	VERB
cana-5307	67	17	steps	step	NOUN
cana-5307	67	18	to	to	PART
cana-5307	67	19	allow	allow	VERB
cana-5307	67	20	mathematical	mathematical	ADJ
cana-5307	67	21	tools	tool	NOUN
cana-5307	67	22	for	for	ADP
cana-5307	67	23	application	application	NOUN
cana-5307	67	24	.	.	PUNCT
cana-5307	68	1	the	the	DET
cana-5307	68	2	evaluation	evaluation	NOUN
cana-5307	68	3	of	of	ADP
cana-5307	68	4	system	system	NOUN
cana-5307	68	5	dynamism	dynamism	NOUN
cana-5307	68	6	and	and	CCONJ
cana-5307	68	7	irregular	irregular	ADJ
cana-5307	68	8	behavior	behavior	NOUN
cana-5307	68	9	leads	lead	VERB
cana-5307	68	10	to	to	ADP
cana-5307	68	11	successful	successful	ADJ
cana-5307	68	12	analysis	analysis	NOUN
cana-5307	68	13	through	through	ADP
cana-5307	68	14	the	the	DET
cana-5307	68	15	combination	combination	NOUN
cana-5307	68	16	of	of	ADP
cana-5307	68	17	fractal	fractal	ADJ
cana-5307	68	18	geometry	geometry	NOUN
cana-5307	68	19	with	with	ADP
cana-5307	68	20	chaos	chaos	NOUN
cana-5307	68	21	theory	theory	NOUN
cana-5307	68	22	[	[	X
cana-5307	68	23	7	7	NUM
cana-5307	68	24	]	]	PUNCT
cana-5307	68	25	.	.	PUNCT
cana-5307	69	1	the	the	DET
cana-5307	69	2	first	first	ADJ
cana-5307	69	3	element	element	NOUN
cana-5307	69	4	of	of	ADP
cana-5307	69	5	every	every	DET
cana-5307	69	6	procedure	procedure	NOUN
cana-5307	69	7	depends	depend	VERB
cana-5307	69	8	on	on	ADP
cana-5307	69	9	selecting	select	VERB
cana-5307	69	10	a	a	DET
cana-5307	69	11	natural	natural	ADJ
cana-5307	69	12	system	system	NOUN
cana-5307	69	13	containing	contain	VERB
cana-5307	69	14	fractal	fractal	ADJ
cana-5307	69	15	elements	element	NOUN
cana-5307	69	16	and	and	CCONJ
cana-5307	69	17	chaotic	chaotic	ADJ
cana-5307	69	18	phenomena	phenomenon	NOUN
cana-5307	69	19	.	.	PUNCT
cana-5307	70	1	the	the	DET
cana-5307	70	2	assessment	assessment	NOUN
cana-5307	70	3	standard	standard	NOUN
cana-5307	70	4	can	can	AUX
cana-5307	70	5	be	be	AUX
cana-5307	70	6	satisfied	satisfied	ADJ
cana-5307	70	7	by	by	ADP
cana-5307	70	8	natural	natural	ADJ
cana-5307	70	9	entities	entity	NOUN
cana-5307	70	10	which	which	PRON
cana-5307	70	11	exist	exist	VERB
cana-5307	70	12	in	in	ADP
cana-5307	70	13	trees	tree	NOUN
cana-5307	70	14	and	and	CCONJ
cana-5307	70	15	seashores	seashore	NOUN
cana-5307	70	16	together	together	ADV
cana-5307	70	17	with	with	ADP
cana-5307	70	18	weather	weather	NOUN
cana-5307	70	19	patterns	pattern	NOUN
cana-5307	70	20	.	.	PUNCT
cana-5307	71	1	data	datum	NOUN
cana-5307	71	2	values	value	NOUN
cana-5307	71	3	originate	originate	VERB
cana-5307	71	4	either	either	CCONJ
cana-5307	71	5	from	from	ADP
cana-5307	71	6	observed	observed	ADJ
cana-5307	71	7	measurements	measurement	NOUN
cana-5307	71	8	or	or	CCONJ
cana-5307	71	9	simulated	simulate	VERB
cana-5307	71	10	data	datum	NOUN
cana-5307	71	11	after	after	SCONJ
cana-5307	71	12	the	the	DET
cana-5307	71	13	identification	identification	NOUN
cana-5307	71	14	phase	phase	NOUN
cana-5307	71	15	finishes	finish	VERB
cana-5307	71	16	.	.	PUNCT
cana-5307	72	1	the	the	DET
cana-5307	72	2	boxes	box	NOUN
cana-5307	72	3	within	within	ADP
cana-5307	72	4	fractal	fractal	ADJ
cana-5307	72	5	systems	system	NOUN
cana-5307	72	6	must	must	AUX
cana-5307	72	7	be	be	AUX
cana-5307	72	8	counted	count	VERB
cana-5307	72	9	by	by	ADP
cana-5307	72	10	specific	specific	ADJ
cana-5307	72	11	methods	method	NOUN
cana-5307	72	12	for	for	ADP
cana-5307	72	13	determining	determine	VERB
cana-5307	72	14	fractal	fractal	ADJ
cana-5307	72	15	dimensions	dimension	NOUN
cana-5307	72	16	.	.	PUNCT
cana-5307	73	1	the	the	DET
cana-5307	73	2	box	box	NOUN
cana-5307	73	3	-	-	PUNCT
cana-5307	73	4	counting	counting	NOUN
cana-5307	73	5	method	method	NOUN
cana-5307	73	6	allows	allow	VERB
cana-5307	73	7	researchers	researcher	NOUN
cana-5307	73	8	to	to	PART
cana-5307	73	9	perform	perform	VERB
cana-5307	73	10	specific	specific	ADJ
cana-5307	73	11	calculations	calculation	NOUN
cana-5307	73	12	that	that	PRON
cana-5307	73	13	establish	establish	VERB
cana-5307	73	14	its	its	PRON
cana-5307	73	15	value	value	NOUN
cana-5307	73	16	utilizing	utilize	VERB
cana-5307	73	17	analysis	analysis	NOUN
cana-5307	73	18	procedures	procedure	NOUN
cana-5307	73	19	:	:	PUNCT
cana-5307	73	20	𝑁(𝜖	𝑁(𝜖	X
cana-5307	73	21	)	)	PUNCT
cana-5307	73	22	∼	∼	NOUN
cana-5307	73	23	𝜖−𝐷	𝜖−𝐷	NOUN
cana-5307	73	24	where	where	SCONJ
cana-5307	73	25	𝑁(𝜖	𝑁(𝜖	X
cana-5307	73	26	)	)	PUNCT
cana-5307	73	27	is	be	AUX
cana-5307	73	28	the	the	DET
cana-5307	73	29	number	number	NOUN
cana-5307	73	30	of	of	ADP
cana-5307	73	31	boxes	box	NOUN
cana-5307	73	32	of	of	ADP
cana-5307	73	33	size	size	NOUN
cana-5307	73	34	𝜖	𝜖	PROPN
cana-5307	73	35	required	require	VERB
cana-5307	73	36	to	to	PART
cana-5307	73	37	cover	cover	VERB
cana-5307	73	38	the	the	DET
cana-5307	73	39	fractal	fractal	NOUN
cana-5307	73	40	,	,	PUNCT
cana-5307	73	41	and	and	CCONJ
cana-5307	73	42	𝐷	𝐷	NOUN
cana-5307	73	43	is	be	AUX
cana-5307	73	44	the	the	DET
cana-5307	73	45	fractal	fractal	ADJ
cana-5307	73	46	dimension	dimension	NOUN
cana-5307	73	47	.	.	PUNCT
cana-5307	74	1	for	for	ADP
cana-5307	74	2	chaotic	chaotic	ADJ
cana-5307	74	3	systems	system	NOUN
cana-5307	74	4	,	,	PUNCT
cana-5307	74	5	the	the	DET
cana-5307	74	6	first	first	ADJ
cana-5307	74	7	step	step	NOUN
cana-5307	74	8	is	be	AUX
cana-5307	74	9	to	to	PART
cana-5307	74	10	identify	identify	VERB
cana-5307	74	11	the	the	DET
cana-5307	74	12	system	system	NOUN
cana-5307	74	13	's	's	PART
cana-5307	74	14	underlying	underlie	VERB
cana-5307	74	15	dynamics	dynamic	NOUN
cana-5307	74	16	through	through	ADP
cana-5307	74	17	datadriven	datadriven	ADJ
cana-5307	74	18	techniques	technique	NOUN
cana-5307	74	19	.	.	PUNCT
cana-5307	75	1	the	the	DET
cana-5307	75	2	system	system	NOUN
cana-5307	75	3	can	can	AUX
cana-5307	75	4	be	be	AUX
cana-5307	75	5	represented	represent	VERB
cana-5307	75	6	by	by	ADP
cana-5307	75	7	a	a	DET
cana-5307	75	8	set	set	NOUN
cana-5307	75	9	of	of	ADP
cana-5307	75	10	differential	differential	ADJ
cana-5307	75	11	equations	equation	NOUN
cana-5307	75	12	,	,	PUNCT
cana-5307	75	13	such	such	ADJ
cana-5307	75	14	as	as	ADP
cana-5307	75	15	the	the	DET
cana-5307	75	16	lorenz	lorenz	PROPN
cana-5307	75	17	system	system	NOUN
cana-5307	75	18	,	,	PUNCT
cana-5307	75	19	which	which	PRON
cana-5307	75	20	is	be	AUX
cana-5307	75	21	a	a	DET
cana-5307	75	22	classic	classic	ADJ
cana-5307	75	23	example	example	NOUN
cana-5307	75	24	of	of	ADP
cana-5307	75	25	chaotic	chaotic	ADJ
cana-5307	75	26	behavior	behavior	NOUN
cana-5307	75	27	:	:	PUNCT
cana-5307	75	28	𝑑𝑥	𝑑𝑥	VERB
cana-5307	75	29	𝑑𝑡	𝑑𝑡	ADP
cana-5307	75	30	=	=	SYM
cana-5307	75	31	𝜎(𝑦	𝜎(𝑦	PROPN
cana-5307	75	32	−	−	NUM
cana-5307	75	33	𝑥	𝑥	NOUN
cana-5307	75	34	)	)	PUNCT
cana-5307	75	35	𝑑𝑦	𝑑𝑦	NOUN
cana-5307	75	36	𝑑𝑡	𝑑𝑡	ADP
cana-5307	75	37	=	=	PUNCT
cana-5307	75	38	𝑥(𝜌	𝑥(𝜌	PROPN
cana-5307	75	39	−	−	NUM
cana-5307	75	40	𝑧	𝑧	NOUN
cana-5307	75	41	)	)	PUNCT
cana-5307	75	42	−	−	PROPN
cana-5307	75	43	𝑦	𝑦	PRON
cana-5307	75	44	𝑑𝑧	𝑑𝑧	NOUN
cana-5307	75	45	𝑑𝑡	𝑑𝑡	ADP
cana-5307	75	46	=	=	PUNCT
cana-5307	75	47	𝑥𝑦	𝑥𝑦	NOUN
cana-5307	75	48	−	−	PROPN
cana-5307	75	49	𝛽𝑧	𝛽𝑧	INTJ
cana-5307	75	50	where	where	SCONJ
cana-5307	75	51	𝑥	𝑥	NOUN
cana-5307	75	52	,	,	PUNCT
cana-5307	75	53	𝑦	𝑦	NOUN
cana-5307	75	54	,	,	PUNCT
cana-5307	75	55	and	and	CCONJ
cana-5307	75	56	𝑧	𝑧	PROPN
cana-5307	75	57	represent	represent	VERB
cana-5307	75	58	the	the	DET
cana-5307	75	59	system	system	NOUN
cana-5307	75	60	's	's	PART
cana-5307	75	61	state	state	NOUN
cana-5307	75	62	variables	variable	NOUN
cana-5307	75	63	,	,	PUNCT
cana-5307	75	64	and	and	CCONJ
cana-5307	75	65	𝜎	𝜎	X
cana-5307	75	66	,	,	PUNCT
cana-5307	75	67	𝜌	𝜌	ADP
cana-5307	75	68	,	,	PUNCT
cana-5307	75	69	and	and	CCONJ
cana-5307	75	70	𝛽	𝛽	NOUN
cana-5307	75	71	are	be	AUX
cana-5307	75	72	system	system	NOUN
cana-5307	75	73	parameters	parameter	NOUN
cana-5307	75	74	.	.	PUNCT
cana-5307	76	1	analyzing	analyze	VERB
cana-5307	76	2	the	the	DET
cana-5307	76	3	chaotic	chaotic	ADJ
cana-5307	76	4	system	system	NOUN
cana-5307	76	5	dynamics	dynamic	NOUN
cana-5307	76	6	requires	require	VERB
cana-5307	76	7	solving	solve	VERB
cana-5307	76	8	these	these	DET
cana-5307	76	9	equations	equation	NOUN
cana-5307	76	10	to	to	PART
cana-5307	76	11	understand	understand	VERB
cana-5307	76	12	both	both	DET
cana-5307	76	13	sensitiveness	sensitiveness	NOUN
cana-5307	76	14	to	to	ADP
cana-5307	76	15	initial	initial	ADJ
cana-5307	76	16	values	value	NOUN
cana-5307	76	17	and	and	CCONJ
cana-5307	76	18	chaotic	chaotic	ADJ
cana-5307	76	19	attractor	attractor	NOUN
cana-5307	76	20	emergence	emergence	NOUN
cana-5307	76	21	.	.	PUNCT
cana-5307	77	1	to	to	PART
cana-5307	77	2	evaluate	evaluate	VERB
cana-5307	77	3	chaotic	chaotic	ADJ
cana-5307	77	4	systems	system	NOUN
cana-5307	77	5	we	we	PRON
cana-5307	77	6	must	must	AUX
cana-5307	77	7	determine	determine	VERB
cana-5307	77	8	lyapunov	lyapunov	ADJ
cana-5307	77	9	exponents	exponent	NOUN
cana-5307	77	10	because	because	SCONJ
cana-5307	77	11	they	they	PRON
cana-5307	77	12	measure	measure	VERB
cana-5307	77	13	how	how	SCONJ
cana-5307	77	14	fast	fast	ADJ
cana-5307	77	15	trajectories	trajectory	NOUN
cana-5307	77	16	separate	separate	ADJ
cana-5307	77	17	from	from	ADP
cana-5307	77	18	their	their	PRON
cana-5307	77	19	initial	initial	ADJ
cana-5307	77	20	-	-	PUNCT
cana-5307	77	21	close	close	NOUN
cana-5307	77	22	positions	position	NOUN
cana-5307	77	23	within	within	ADP
cana-5307	77	24	phase	phase	NOUN
cana-5307	77	25	space	space	NOUN
cana-5307	77	26	.	.	PUNCT
cana-5307	78	1	courteously	courteously	ADV
cana-5307	78	2	calculate	calculate	VERB
cana-5307	78	3	the	the	DET
cana-5307	78	4	lyapunov	lyapunov	ADJ
cana-5307	78	5	exponent	exponent	NOUN
cana-5307	78	6	λ	λ	X
cana-5307	78	7	through	through	ADP
cana-5307	78	8	the	the	DET
cana-5307	78	9	following	follow	VERB
cana-5307	78	10	equation	equation	NOUN
cana-5307	78	11	:	:	PUNCT
cana-5307	78	12	𝜆	𝜆	PROPN
cana-5307	78	13	=	=	SYM
cana-5307	78	14	lim	lim	PROPN
cana-5307	78	15	𝑡→∞	𝑡→∞	NUM
cana-5307	78	16	  	  	SPACE
cana-5307	78	17	1	1	NUM
cana-5307	78	18	𝑡	𝑡	PROPN
cana-5307	78	19	ln⁡	ln⁡	VERB
cana-5307	78	20	(	(	PUNCT
cana-5307	78	21	‖𝛿𝑥(𝑡)‖	‖𝛿𝑥(𝑡)‖	X
cana-5307	78	22	‖𝛿𝑥(0)‖	‖𝛿𝑥(0)‖	NOUN
cana-5307	78	23	)	)	PUNCT
cana-5307	79	1	where	where	SCONJ
cana-5307	79	2	𝛿𝑥(𝑡	𝛿𝑥(𝑡	NUM
cana-5307	79	3	)	)	PUNCT
cana-5307	79	4	is	be	AUX
cana-5307	79	5	the	the	DET
cana-5307	79	6	distance	distance	NOUN
cana-5307	79	7	between	between	ADP
cana-5307	79	8	two	two	NUM
cana-5307	79	9	nearby	nearby	ADJ
cana-5307	79	10	points	point	NOUN
cana-5307	79	11	in	in	ADP
cana-5307	79	12	phase	phase	NOUN
cana-5307	79	13	space	space	NOUN
cana-5307	79	14	at	at	ADP
cana-5307	79	15	time	time	NOUN
cana-5307	79	16	𝑡	𝑡	PROPN
cana-5307	79	17	,	,	PUNCT
cana-5307	79	18	and	and	CCONJ
cana-5307	79	19	𝛿𝑥(0	𝛿𝑥(0	PROPN
cana-5307	79	20	)	)	PUNCT
cana-5307	79	21	is	be	AUX
cana-5307	79	22	the	the	DET
cana-5307	79	23	initial	initial	ADJ
cana-5307	79	24	separation	separation	NOUN
cana-5307	79	25	.	.	PUNCT
cana-5307	80	1	communications	communication	NOUN
cana-5307	80	2	on	on	ADP
cana-5307	80	3	applied	apply	VERB
cana-5307	80	4	nonlinear	nonlinear	ADJ
cana-5307	80	5	analysis	analysis	NOUN
cana-5307	80	6	issn	issn	NOUN
cana-5307	80	7	:	:	PUNCT
cana-5307	80	8	1074	1074	NUM
cana-5307	80	9	-	-	PUNCT
cana-5307	80	10	133x	133x	NUM
cana-5307	80	11	vol	vol	NOUN
cana-5307	80	12	31	31	NUM
cana-5307	80	13	no	no	NOUN
cana-5307	80	14	.	.	PUNCT
cana-5307	81	1	2s	2s	NUM
cana-5307	81	2	(	(	PUNCT
cana-5307	81	3	2024	2024	NUM
cana-5307	81	4	)	)	PUNCT
cana-5307	81	5	733	733	NUM
cana-5307	81	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5307	81	7	the	the	DET
cana-5307	81	8	fractal	fractal	PROPN
cana-5307	81	9	basin	basin	NOUN
cana-5307	81	10	boundary	boundary	NOUN
cana-5307	81	11	serves	serve	VERB
cana-5307	81	12	as	as	ADP
cana-5307	81	13	the	the	DET
cana-5307	81	14	essential	essential	ADJ
cana-5307	81	15	element	element	NOUN
cana-5307	81	16	of	of	ADP
cana-5307	81	17	chaos	chaos	NOUN
cana-5307	81	18	theory	theory	NOUN
cana-5307	81	19	for	for	ADP
cana-5307	81	20	identifying	identify	VERB
cana-5307	81	21	phase	phase	NOUN
cana-5307	81	22	space	space	NOUN
cana-5307	81	23	regions	region	NOUN
cana-5307	81	24	leading	lead	VERB
cana-5307	81	25	to	to	ADP
cana-5307	81	26	different	different	ADJ
cana-5307	81	27	attractors	attractor	NOUN
cana-5307	81	28	based	base	VERB
cana-5307	81	29	on	on	ADP
cana-5307	81	30	initial	initial	ADJ
cana-5307	81	31	conditions	condition	NOUN
cana-5307	81	32	through	through	ADP
cana-5307	81	33	a	a	DET
cana-5307	81	34	geometric	geometric	ADJ
cana-5307	81	35	pattern	pattern	NOUN
cana-5307	81	36	.	.	PUNCT
cana-5307	82	1	the	the	DET
cana-5307	82	2	key	key	ADJ
cana-5307	82	3	concept	concept	NOUN
cana-5307	82	4	defines	define	VERB
cana-5307	82	5	how	how	SCONJ
cana-5307	82	6	to	to	PART
cana-5307	82	7	understand	understand	VERB
cana-5307	82	8	both	both	CCONJ
cana-5307	82	9	stable	stable	ADJ
cana-5307	82	10	and	and	CCONJ
cana-5307	82	11	chaotic	chaotic	ADJ
cana-5307	82	12	regions	region	NOUN
cana-5307	82	13	in	in	ADP
cana-5307	82	14	phase	phase	NOUN
cana-5307	82	15	space	space	NOUN
cana-5307	82	16	:	:	PUNCT
cana-5307	82	17	𝐵(𝑥	𝐵(𝑥	X
cana-5307	82	18	)	)	PUNCT
cana-5307	82	19	=	=	PRON
cana-5307	82	20	{	{	PUNCT
cana-5307	82	21	𝑥	𝑥	PUNCT
cana-5307	82	22	∈	∈	PROPN
cana-5307	83	1	ℝ𝑛	ℝ𝑛	NOUN
cana-5307	83	2	:	:	PUNCT
cana-5307	83	3	|𝑓(𝑥	|𝑓(𝑥	PROPN
cana-5307	83	4	)	)	PUNCT
cana-5307	83	5	−	−	PROPN
cana-5307	83	6	𝑥|	𝑥|	NOUN
cana-5307	83	7	<	<	X
cana-5307	83	8	𝜖	𝜖	PROPN
cana-5307	83	9	}	}	PUNCT
cana-5307	83	10	where	where	SCONJ
cana-5307	83	11	𝐵(𝑥	𝐵(𝑥	X
cana-5307	83	12	)	)	PUNCT
cana-5307	83	13	defines	define	VERB
cana-5307	83	14	the	the	DET
cana-5307	83	15	basin	basin	NOUN
cana-5307	83	16	of	of	ADP
cana-5307	83	17	attraction	attraction	NOUN
cana-5307	83	18	of	of	ADP
cana-5307	83	19	the	the	DET
cana-5307	83	20	fixed	fixed	ADJ
cana-5307	83	21	point	point	NOUN
cana-5307	83	22	𝑥	𝑥	PROPN
cana-5307	83	23	,	,	PUNCT
cana-5307	83	24	and	and	CCONJ
cana-5307	83	25	𝜖	𝜖	PROPN
cana-5307	83	26	is	be	AUX
cana-5307	83	27	the	the	DET
cana-5307	83	28	threshold	threshold	NOUN
cana-5307	83	29	of	of	ADP
cana-5307	83	30	convergence	convergence	NOUN
cana-5307	83	31	.	.	PUNCT
cana-5307	84	1	for	for	ADP
cana-5307	84	2	systems	system	NOUN
cana-5307	84	3	that	that	PRON
cana-5307	84	4	display	display	VERB
cana-5307	84	5	both	both	CCONJ
cana-5307	84	6	fractal	fractal	ADJ
cana-5307	84	7	and	and	CCONJ
cana-5307	84	8	chaotic	chaotic	ADJ
cana-5307	84	9	behavior	behavior	NOUN
cana-5307	84	10	,	,	PUNCT
cana-5307	84	11	the	the	DET
cana-5307	84	12	correlation	correlation	NOUN
cana-5307	84	13	dimension	dimension	NOUN
cana-5307	84	14	can	can	AUX
cana-5307	84	15	be	be	AUX
cana-5307	84	16	used	use	VERB
cana-5307	84	17	to	to	PART
cana-5307	84	18	quantify	quantify	VERB
cana-5307	84	19	the	the	DET
cana-5307	84	20	complexity	complexity	NOUN
cana-5307	84	21	of	of	ADP
cana-5307	84	22	the	the	DET
cana-5307	84	23	attractor	attractor	NOUN
cana-5307	84	24	.	.	PUNCT
cana-5307	85	1	the	the	DET
cana-5307	85	2	correlation	correlation	NOUN
cana-5307	85	3	dimension	dimension	NOUN
cana-5307	85	4	is	be	AUX
cana-5307	85	5	given	give	VERB
cana-5307	85	6	by	by	ADP
cana-5307	85	7	:	:	PUNCT
cana-5307	85	8	𝐷2	𝐷2	PROPN
cana-5307	85	9	=	=	SYM
cana-5307	85	10	lim	lim	PROPN
cana-5307	85	11	𝜖→0	𝜖→0	PUNCT
cana-5307	85	12	  	  	SPACE
cana-5307	85	13	ln⁡	ln⁡	VERB
cana-5307	85	14	𝐶(𝜖	𝐶(𝜖	X
cana-5307	85	15	)	)	PUNCT
cana-5307	85	16	ln⁡	ln⁡	PROPN
cana-5307	85	17	𝜖	𝜖	X
cana-5307	85	18	where	where	SCONJ
cana-5307	85	19	𝐶(𝜖	𝐶(𝜖	X
cana-5307	85	20	)	)	PUNCT
cana-5307	85	21	is	be	AUX
cana-5307	85	22	the	the	DET
cana-5307	85	23	correlation	correlation	NOUN
cana-5307	85	24	integral	integral	ADJ
cana-5307	85	25	that	that	SCONJ
cana-5307	85	26	measures	measure	VERB
cana-5307	85	27	the	the	DET
cana-5307	85	28	probability	probability	NOUN
cana-5307	85	29	of	of	ADP
cana-5307	85	30	two	two	NUM
cana-5307	85	31	points	point	NOUN
cana-5307	85	32	being	be	AUX
cana-5307	85	33	within	within	ADP
cana-5307	85	34	a	a	DET
cana-5307	85	35	distance	distance	NOUN
cana-5307	85	36	𝜖.	𝜖.	NOUN
cana-5307	85	37	the	the	DET
cana-5307	85	38	subsequent	subsequent	ADJ
cana-5307	85	39	step	step	NOUN
cana-5307	85	40	requires	require	VERB
cana-5307	85	41	installing	instal	VERB
cana-5307	85	42	proper	proper	ADJ
cana-5307	85	43	analytical	analytical	ADJ
cana-5307	85	44	instruments	instrument	NOUN
cana-5307	85	45	for	for	ADP
cana-5307	85	46	use	use	NOUN
cana-5307	85	47	.	.	PUNCT
cana-5307	86	1	mandelbrot	mandelbrot	PROPN
cana-5307	86	2	developed	develop	VERB
cana-5307	86	3	his	his	PRON
cana-5307	86	4	fractal	fractal	ADJ
cana-5307	86	5	dimension	dimension	NOUN
cana-5307	86	6	formula	formula	NOUN
cana-5307	86	7	as	as	SCONJ
cana-5307	86	8	follows	follow	VERB
cana-5307	86	9	:	:	PUNCT
cana-5307	86	10	𝐷	𝐷	PROPN
cana-5307	86	11	=	=	SYM
cana-5307	86	12	lim	lim	PROPN
cana-5307	86	13	𝜖→0	𝜖→0	PUNCT
cana-5307	86	14	  	  	SPACE
cana-5307	86	15	ln⁡	ln⁡	VERB
cana-5307	86	16	𝑁(𝜖	𝑁(𝜖	X
cana-5307	86	17	)	)	PUNCT
cana-5307	86	18	ln⁡(1/𝜖	ln⁡(1/𝜖	NOUN
cana-5307	86	19	)	)	PUNCT
cana-5307	86	20	where	where	SCONJ
cana-5307	86	21	𝑁(𝜖	𝑁(𝜖	X
cana-5307	86	22	)	)	PUNCT
cana-5307	86	23	is	be	AUX
cana-5307	86	24	the	the	DET
cana-5307	86	25	number	number	NOUN
cana-5307	86	26	of	of	ADP
cana-5307	86	27	points	point	NOUN
cana-5307	86	28	within	within	ADP
cana-5307	86	29	a	a	DET
cana-5307	86	30	box	box	NOUN
cana-5307	86	31	of	of	ADP
cana-5307	86	32	size	size	NOUN
cana-5307	86	33	𝜖.	𝜖.	NOUN
cana-5307	86	34	additionally	additionally	ADV
cana-5307	86	35	,	,	PUNCT
cana-5307	86	36	hurst	hurst	PROPN
cana-5307	86	37	exponent	exponent	PROPN
cana-5307	86	38	can	can	AUX
cana-5307	86	39	be	be	AUX
cana-5307	86	40	calculated	calculate	VERB
cana-5307	86	41	to	to	PART
cana-5307	86	42	analyze	analyze	VERB
cana-5307	86	43	long	long	ADJ
cana-5307	86	44	-	-	PUNCT
cana-5307	86	45	range	range	NOUN
cana-5307	86	46	dependence	dependence	NOUN
cana-5307	86	47	in	in	ADP
cana-5307	86	48	a	a	DET
cana-5307	86	49	time	time	NOUN
cana-5307	86	50	series	series	NOUN
cana-5307	86	51	.	.	PUNCT
cana-5307	87	1	the	the	DET
cana-5307	87	2	hurst	hurst	PROPN
cana-5307	87	3	exponent	exponent	PROPN
cana-5307	87	4	𝐻	𝐻	PROPN
cana-5307	87	5	is	be	AUX
cana-5307	87	6	defined	define	VERB
cana-5307	87	7	as	as	ADP
cana-5307	87	8	:	:	PUNCT
cana-5307	87	9	𝑅/𝑆	𝑅/𝑆	NOUN
cana-5307	87	10	=	=	PUNCT
cana-5307	88	1	𝑐(𝑛𝐻	𝑐(𝑛𝐻	NOUN
cana-5307	88	2	)	)	PUNCT
cana-5307	88	3	where	where	SCONJ
cana-5307	88	4	𝑅/𝑆	𝑅/𝑆	NOUN
cana-5307	88	5	is	be	AUX
cana-5307	88	6	the	the	DET
cana-5307	88	7	rescaled	rescaled	ADJ
cana-5307	88	8	range	range	NOUN
cana-5307	88	9	of	of	ADP
cana-5307	88	10	the	the	DET
cana-5307	88	11	time	time	NOUN
cana-5307	88	12	series	series	NOUN
cana-5307	88	13	,	,	PUNCT
cana-5307	88	14	𝑛	𝑛	PROPN
cana-5307	88	15	is	be	AUX
cana-5307	88	16	the	the	DET
cana-5307	88	17	number	number	NOUN
cana-5307	88	18	of	of	ADP
cana-5307	88	19	data	datum	NOUN
cana-5307	88	20	points	point	NOUN
cana-5307	88	21	,	,	PUNCT
cana-5307	88	22	and	and	CCONJ
cana-5307	88	23	𝑐	𝑐	PROPN
cana-5307	88	24	is	be	AUX
cana-5307	88	25	a	a	DET
cana-5307	88	26	constant	constant	ADJ
cana-5307	88	27	.	.	PUNCT
cana-5307	89	1	the	the	DET
cana-5307	89	2	evaluation	evaluation	NOUN
cana-5307	89	3	of	of	ADP
cana-5307	89	4	fractal	fractal	ADJ
cana-5307	89	5	dimensions	dimension	NOUN
cana-5307	89	6	and	and	CCONJ
cana-5307	89	7	chaos	chaos	NOUN
cana-5307	89	8	dimensions	dimension	NOUN
cana-5307	89	9	leads	lead	VERB
cana-5307	89	10	to	to	ADP
cana-5307	89	11	the	the	DET
cana-5307	89	12	identification	identification	NOUN
cana-5307	89	13	of	of	ADP
cana-5307	89	14	attractors	attractor	NOUN
cana-5307	89	15	as	as	ADP
cana-5307	89	16	the	the	DET
cana-5307	89	17	culmination	culmination	NOUN
cana-5307	89	18	of	of	ADP
cana-5307	89	19	chaotic	chaotic	ADJ
cana-5307	89	20	system	system	NOUN
cana-5307	89	21	long	long	ADJ
cana-5307	89	22	-	-	PUNCT
cana-5307	89	23	term	term	NOUN
cana-5307	89	24	behavior	behavior	NOUN
cana-5307	89	25	description	description	NOUN
cana-5307	89	26	.	.	PUNCT
cana-5307	90	1	the	the	DET
cana-5307	90	2	phase	phase	NOUN
cana-5307	90	3	space	space	NOUN
cana-5307	90	4	possesses	possess	VERB
cana-5307	90	5	strange	strange	ADJ
cana-5307	90	6	attractors	attractor	NOUN
cana-5307	90	7	which	which	PRON
cana-5307	90	8	function	function	VERB
cana-5307	90	9	as	as	ADP
cana-5307	90	10	termination	termination	NOUN
cana-5307	90	11	points	point	NOUN
cana-5307	90	12	for	for	ADP
cana-5307	90	13	systems	system	NOUN
cana-5307	90	14	under	under	ADP
cana-5307	90	15	observation	observation	NOUN
cana-5307	90	16	.	.	PUNCT
cana-5307	91	1	the	the	DET
cana-5307	91	2	mathematical	mathematical	ADJ
cana-5307	91	3	description	description	NOUN
cana-5307	91	4	for	for	ADP
cana-5307	91	5	a	a	DET
cana-5307	91	6	strange	strange	ADJ
cana-5307	91	7	attractor	attractor	NOUN
cana-5307	91	8	appears	appear	VERB
cana-5307	91	9	as	as	ADP
cana-5307	91	10	:	:	PUNCT
cana-5307	91	11	�	�	PROPN
cana-5307	91	12	̇	̇	PROPN
cana-5307	91	13	�	�	PROPN
cana-5307	91	14	=	=	PUNCT
cana-5307	91	15	𝑓(𝑥	𝑓(𝑥	NOUN
cana-5307	91	16	)	)	PUNCT
cana-5307	91	17	where	where	SCONJ
cana-5307	91	18	𝑓(𝑥	𝑓(𝑥	NOUN
cana-5307	91	19	)	)	PUNCT
cana-5307	91	20	is	be	AUX
cana-5307	91	21	a	a	DET
cana-5307	91	22	nonlinear	nonlinear	ADJ
cana-5307	91	23	function	function	NOUN
cana-5307	91	24	the	the	DET
cana-5307	91	25	examination	examination	NOUN
cana-5307	91	26	of	of	ADP
cana-5307	91	27	chaotic	chaotic	ADJ
cana-5307	91	28	systems	system	NOUN
cana-5307	91	29	requires	require	VERB
cana-5307	91	30	visualizing	visualize	VERB
cana-5307	91	31	attractors	attractor	NOUN
cana-5307	91	32	because	because	SCONJ
cana-5307	91	33	they	they	PRON
cana-5307	91	34	provide	provide	VERB
cana-5307	91	35	essential	essential	ADJ
cana-5307	91	36	system	system	NOUN
cana-5307	91	37	developmental	developmental	ADJ
cana-5307	91	38	information	information	NOUN
cana-5307	91	39	throughout	throughout	ADP
cana-5307	91	40	time	time	NOUN
cana-5307	91	41	.	.	PUNCT
cana-5307	92	1	numerical	numerical	ADJ
cana-5307	92	2	simulations	simulation	NOUN
cana-5307	92	3	based	base	VERB
cana-5307	92	4	on	on	ADP
cana-5307	92	5	mathematical	mathematical	ADJ
cana-5307	92	6	configurations	configuration	NOUN
cana-5307	92	7	present	present	VERB
cana-5307	92	8	fractal	fractal	ADJ
cana-5307	92	9	dimensions	dimension	NOUN
cana-5307	92	10	together	together	ADV
cana-5307	92	11	with	with	ADP
cana-5307	92	12	chaotic	chaotic	ADJ
cana-5307	92	13	features	feature	NOUN
cana-5307	92	14	and	and	CCONJ
cana-5307	92	15	attractor	attractor	NOUN
cana-5307	92	16	arrangements	arrangement	NOUN
cana-5307	92	17	in	in	ADP
cana-5307	92	18	the	the	DET
cana-5307	92	19	system	system	NOUN
cana-5307	92	20	.	.	PUNCT
cana-5307	93	1	communications	communication	NOUN
cana-5307	93	2	on	on	ADP
cana-5307	93	3	applied	apply	VERB
cana-5307	93	4	nonlinear	nonlinear	ADJ
cana-5307	93	5	analysis	analysis	NOUN
cana-5307	93	6	issn	issn	NOUN
cana-5307	93	7	:	:	PUNCT
cana-5307	93	8	1074	1074	NUM
cana-5307	93	9	-	-	PUNCT
cana-5307	93	10	133x	133x	NUM
cana-5307	93	11	vol	vol	NOUN
cana-5307	93	12	31	31	NUM
cana-5307	93	13	no	no	NOUN
cana-5307	93	14	.	.	PUNCT
cana-5307	94	1	2s	2s	NUM
cana-5307	94	2	(	(	PUNCT
cana-5307	94	3	2024	2024	NUM
cana-5307	94	4	)	)	PUNCT
cana-5307	94	5	734	734	NUM
cana-5307	94	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5307	94	7	figure	figure	NOUN
cana-5307	94	8	1	1	NUM
cana-5307	94	9	:	:	PUNCT
cana-5307	94	10	computational	computational	ADJ
cana-5307	94	11	framework	framework	NOUN
cana-5307	94	12	for	for	ADP
cana-5307	94	13	fractal	fractal	ADJ
cana-5307	94	14	and	and	CCONJ
cana-5307	94	15	chaosbased	chaosbase	VERB
cana-5307	94	16	analysis	analysis	NOUN
cana-5307	94	17	of	of	ADP
cana-5307	94	18	natural	natural	ADJ
cana-5307	94	19	systems	system	NOUN
cana-5307	94	20	communications	communication	NOUN
cana-5307	94	21	on	on	ADP
cana-5307	94	22	applied	apply	VERB
cana-5307	94	23	nonlinear	nonlinear	ADJ
cana-5307	94	24	analysis	analysis	NOUN
cana-5307	94	25	issn	issn	NOUN
cana-5307	94	26	:	:	PUNCT
cana-5307	94	27	1074	1074	NUM
cana-5307	94	28	-	-	PUNCT
cana-5307	94	29	133x	133x	NUM
cana-5307	94	30	vol	vol	NOUN
cana-5307	94	31	31	31	NUM
cana-5307	94	32	no	no	NOUN
cana-5307	94	33	.	.	PUNCT
cana-5307	95	1	2s	2s	NUM
cana-5307	95	2	(	(	PUNCT
cana-5307	95	3	2024	2024	NUM
cana-5307	95	4	)	)	PUNCT
cana-5307	95	5	735	735	NUM
cana-5307	95	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-5307	95	7	iv	iv	NUM
cana-5307	95	8	.	.	PROPN
cana-5307	95	9	result	result	PROPN
cana-5307	95	10	&	&	CCONJ
cana-5307	95	11	discussions	discussion	NOUN
cana-5307	95	12	the	the	DET
cana-5307	95	13	segment	segment	NOUN
cana-5307	95	14	presents	present	VERB
cana-5307	95	15	investigation	investigation	NOUN
cana-5307	95	16	results	result	VERB
cana-5307	95	17	about	about	ADP
cana-5307	95	18	method	method	NOUN
cana-5307	95	19	executions	execution	NOUN
cana-5307	95	20	in	in	ADP
cana-5307	95	21	diverse	diverse	ADJ
cana-5307	95	22	natural	natural	ADJ
cana-5307	95	23	settings	setting	NOUN
cana-5307	95	24	by	by	ADP
cana-5307	95	25	accessing	access	VERB
cana-5307	95	26	data	datum	NOUN
cana-5307	95	27	versus	versus	ADP
cana-5307	95	28	theoretical	theoretical	ADJ
cana-5307	95	29	models	model	NOUN
cana-5307	95	30	as	as	ADV
cana-5307	95	31	well	well	ADV
cana-5307	95	32	as	as	ADP
cana-5307	95	33	past	past	ADJ
cana-5307	95	34	findings	finding	NOUN
cana-5307	95	35	.	.	PUNCT
cana-5307	96	1	scientists	scientist	NOUN
cana-5307	96	2	utilized	utilize	VERB
cana-5307	96	3	the	the	DET
cana-5307	96	4	box	box	NOUN
cana-5307	96	5	-	-	PUNCT
cana-5307	96	6	counting	counting	NOUN
cana-5307	96	7	method	method	NOUN
cana-5307	96	8	on	on	ADP
cana-5307	96	9	trees	tree	NOUN
cana-5307	96	10	to	to	PART
cana-5307	96	11	calculate	calculate	VERB
cana-5307	96	12	fractal	fractal	ADJ
cana-5307	96	13	dimension	dimension	NOUN
cana-5307	96	14	because	because	SCONJ
cana-5307	96	15	this	this	DET
cana-5307	96	16	method	method	NOUN
cana-5307	96	17	proved	prove	VERB
cana-5307	96	18	optimal	optimal	ADJ
cana-5307	96	19	for	for	ADP
cana-5307	96	20	three	three	NUM
cana-5307	96	21	tree	tree	NOUN
cana-5307	96	22	species	specie	NOUN
cana-5307	96	23	self	self	NOUN
cana-5307	96	24	-	-	PUNCT
cana-5307	96	25	similar	similar	ADJ
cana-5307	96	26	analysis	analysis	NOUN
cana-5307	96	27	.	.	PUNCT
cana-5307	97	1	a	a	DET
cana-5307	97	2	specific	specific	ADJ
cana-5307	97	3	range	range	NOUN
cana-5307	97	4	of	of	ADP
cana-5307	97	5	fractal	fractal	ADJ
cana-5307	97	6	dimensions	dimension	NOUN
cana-5307	97	7	existed	exist	VERB
cana-5307	97	8	for	for	ADP
cana-5307	97	9	each	each	DET
cana-5307	97	10	species	specie	NOUN
cana-5307	97	11	and	and	CCONJ
cana-5307	97	12	these	these	DET
cana-5307	97	13	measurements	measurement	NOUN
cana-5307	97	14	represented	represent	VERB
cana-5307	97	15	the	the	DET
cana-5307	97	16	degree	degree	NOUN
cana-5307	97	17	of	of	ADP
cana-5307	97	18	complexity	complexity	NOUN
cana-5307	97	19	in	in	ADP
cana-5307	97	20	their	their	PRON
cana-5307	97	21	branching	branch	VERB
cana-5307	97	22	patterns	pattern	NOUN
cana-5307	97	23	.	.	PUNCT
cana-5307	98	1	a	a	DET
cana-5307	98	2	tree	tree	NOUN
cana-5307	98	3	maintained	maintain	VERB
cana-5307	98	4	more	more	ADV
cana-5307	98	5	complicated	complicated	ADJ
cana-5307	98	6	branching	branch	VERB
cana-5307	98	7	structures	structure	NOUN
cana-5307	98	8	through	through	ADP
cana-5307	98	9	higher	high	ADJ
cana-5307	98	10	fractal	fractal	ADJ
cana-5307	98	11	measurement	measurement	NOUN
cana-5307	98	12	when	when	SCONJ
cana-5307	98	13	compared	compare	VERB
cana-5307	98	14	to	to	ADP
cana-5307	98	15	basic	basic	ADJ
cana-5307	98	16	tree	tree	NOUN
cana-5307	98	17	species	specie	NOUN
cana-5307	98	18	which	which	PRON
cana-5307	98	19	produced	produce	VERB
cana-5307	98	20	lower	low	ADJ
cana-5307	98	21	fractal	fractal	ADJ
cana-5307	98	22	results	result	NOUN
cana-5307	98	23	.	.	PUNCT
cana-5307	99	1	a	a	DET
cana-5307	99	2	graphical	graphical	ADJ
cana-5307	99	3	display	display	NOUN
cana-5307	99	4	using	use	VERB
cana-5307	99	5	excel	excel	NOUN
cana-5307	99	6	demonstrates	demonstrate	VERB
cana-5307	99	7	the	the	DET
cana-5307	99	8	relationship	relationship	NOUN
cana-5307	99	9	between	between	ADP
cana-5307	99	10	box	box	NOUN
cana-5307	99	11	size	size	NOUN
cana-5307	99	12	and	and	CCONJ
cana-5307	99	13	number	number	NOUN
cana-5307	99	14	of	of	ADP
cana-5307	99	15	required	require	VERB
cana-5307	99	16	covering	covering	NOUN
cana-5307	99	17	boxes	box	NOUN
cana-5307	99	18	to	to	PART
cana-5307	99	19	determine	determine	VERB
cana-5307	99	20	fractal	fractal	ADJ
cana-5307	99	21	dimension	dimension	NOUN
cana-5307	99	22	(	(	PUNCT
cana-5307	99	23	figure	figure	NOUN
cana-5307	99	24	2	2	NUM
cana-5307	99	25	)	)	PUNCT
cana-5307	99	26	.	.	PUNCT
cana-5307	100	1	the	the	DET
cana-5307	100	2	graph	graph	NOUN
cana-5307	100	3	provides	provide	VERB
cana-5307	100	4	evidence	evidence	NOUN
cana-5307	100	5	that	that	SCONJ
cana-5307	100	6	tree	tree	NOUN
cana-5307	100	7	branching	branch	VERB
cana-5307	100	8	structures	structure	NOUN
cana-5307	100	9	conform	conform	VERB
cana-5307	100	10	to	to	ADP
cana-5307	100	11	fractal	fractal	ADJ
cana-5307	100	12	geometry	geometry	NOUN
cana-5307	100	13	standards	standard	NOUN
cana-5307	100	14	showing	show	VERB
cana-5307	100	15	natural	natural	ADJ
cana-5307	100	16	self	self	NOUN
cana-5307	100	17	-	-	PUNCT
cana-5307	100	18	identical	identical	ADJ
cana-5307	100	19	processes	process	NOUN
cana-5307	100	20	across	across	ADP
cana-5307	100	21	all	all	DET
cana-5307	100	22	size	size	NOUN
cana-5307	100	23	ranges	range	NOUN
cana-5307	100	24	.	.	PUNCT
cana-5307	101	1	figure	figure	VERB
cana-5307	101	2	2	2	NUM
cana-5307	101	3	:	:	PUNCT
cana-5307	101	4	box	box	NOUN
cana-5307	101	5	-	-	PUNCT
cana-5307	101	6	counting	counting	NOUN
cana-5307	101	7	method	method	NOUN
cana-5307	101	8	for	for	ADP
cana-5307	101	9	tree	tree	NOUN
cana-5307	101	10	branching	branch	VERB
cana-5307	101	11	patterns	pattern	NOUN
cana-5307	101	12	a	a	DET
cana-5307	101	13	study	study	NOUN
cana-5307	101	14	of	of	ADP
cana-5307	101	15	atmospheric	atmospheric	ADJ
cana-5307	101	16	system	system	NOUN
cana-5307	101	17	chaos	chaos	NOUN
cana-5307	101	18	employed	employ	VERB
cana-5307	101	19	lorenz	lorenz	PROPN
cana-5307	101	20	system	system	NOUN
cana-5307	101	21	analysis	analysis	NOUN
cana-5307	101	22	to	to	PART
cana-5307	101	23	determine	determine	VERB
cana-5307	101	24	sensitivity	sensitivity	NOUN
cana-5307	101	25	through	through	ADP
cana-5307	101	26	lyapunov	lyapunov	ADJ
cana-5307	101	27	exponent	exponent	NOUN
cana-5307	101	28	measurements	measurement	NOUN
cana-5307	101	29	.	.	PUNCT
cana-5307	102	1	the	the	DET
cana-5307	102	2	lyapunov	lyapunov	ADJ
cana-5307	102	3	exponents	exponent	NOUN
cana-5307	102	4	analyzed	analyze	VERB
cana-5307	102	5	from	from	ADP
cana-5307	102	6	the	the	DET
cana-5307	102	7	atmospheric	atmospheric	ADJ
cana-5307	102	8	system	system	NOUN
cana-5307	102	9	produced	produce	VERB
cana-5307	102	10	positive	positive	ADJ
cana-5307	102	11	results	result	NOUN
cana-5307	102	12	which	which	PRON
cana-5307	102	13	proved	prove	VERB
cana-5307	102	14	that	that	SCONJ
cana-5307	102	15	chaotic	chaotic	ADJ
cana-5307	102	16	behavior	behavior	NOUN
cana-5307	102	17	existed	exist	VERB
cana-5307	102	18	in	in	ADP
cana-5307	102	19	this	this	DET
cana-5307	102	20	system	system	NOUN
cana-5307	102	21	.	.	PUNCT
cana-5307	103	1	the	the	DET
cana-5307	103	2	results	result	NOUN
cana-5307	103	3	proved	prove	VERB
cana-5307	103	4	the	the	DET
cana-5307	103	5	theory	theory	NOUN
cana-5307	103	6	right	right	ADJ
cana-5307	103	7	because	because	SCONJ
cana-5307	103	8	minor	minor	ADJ
cana-5307	103	9	first	first	ADJ
cana-5307	103	10	-	-	PUNCT
cana-5307	103	11	point	point	NOUN
cana-5307	103	12	variations	variation	NOUN
cana-5307	103	13	in	in	ADP
cana-5307	103	14	system	system	NOUN
cana-5307	103	15	setup	setup	NOUN
cana-5307	103	16	caused	cause	VERB
cana-5307	103	17	major	major	ADJ
cana-5307	103	18	differences	difference	NOUN
cana-5307	103	19	in	in	ADP
cana-5307	103	20	the	the	DET
cana-5307	103	21	final	final	ADJ
cana-5307	103	22	results	result	NOUN
cana-5307	103	23	matching	match	VERB
cana-5307	103	24	chaos	chaos	NOUN
cana-5307	103	25	theory	theory	NOUN
cana-5307	103	26	's	's	PART
cana-5307	103	27	butterfly	butterfly	NOUN
cana-5307	103	28	effect	effect	NOUN
cana-5307	103	29	definition	definition	NOUN
cana-5307	103	30	.	.	PUNCT
cana-5307	104	1	a	a	DET
cana-5307	104	2	visualization	visualization	NOUN
cana-5307	104	3	based	base	VERB
cana-5307	104	4	on	on	ADP
cana-5307	104	5	origin	origin	NOUN
cana-5307	104	6	software	software	NOUN
cana-5307	104	7	confirms	confirm	VERB
cana-5307	104	8	how	how	SCONJ
cana-5307	104	9	nearby	nearby	ADJ
cana-5307	104	10	trajectory	trajectory	NOUN
cana-5307	104	11	paths	path	NOUN
cana-5307	104	12	separate	separate	VERB
cana-5307	104	13	drastically	drastically	ADV
cana-5307	104	14	with	with	ADP
cana-5307	104	15	time	time	NOUN
cana-5307	104	16	thus	thus	ADV
cana-5307	104	17	showing	show	VERB
cana-5307	104	18	the	the	DET
cana-5307	104	19	chaotic	chaotic	ADJ
cana-5307	104	20	pure	pure	ADJ
cana-5307	104	21	nature	nature	NOUN
cana-5307	104	22	of	of	ADP
cana-5307	104	23	atmospheric	atmospheric	ADJ
cana-5307	104	24	motion	motion	NOUN
cana-5307	104	25	(	(	PUNCT
cana-5307	104	26	figure	figure	NOUN
cana-5307	104	27	3	3	NUM
cana-5307	104	28	)	)	PUNCT
cana-5307	104	29	.	.	PUNCT
cana-5307	105	1	150	150	NUM
cana-5307	105	2	350	350	NUM
cana-5307	105	3	900	900	NUM
cana-5307	105	4	1.45	1.45	NUM
cana-5307	105	5	1.5	1.5	NUM
cana-5307	105	6	1.53	1.53	NUM
cana-5307	105	7	0	0	NUM
cana-5307	105	8	100	100	NUM
cana-5307	105	9	200	200	NUM
cana-5307	105	10	300	300	NUM
cana-5307	105	11	400	400	NUM
cana-5307	105	12	500	500	NUM
cana-5307	105	13	600	600	NUM
cana-5307	105	14	700	700	NUM
cana-5307	105	15	800	800	NUM
cana-5307	105	16	900	900	NUM
cana-5307	105	17	1000	1000	NUM
cana-5307	105	18	10	10	NUM
cana-5307	105	19	5	5	NUM
cana-5307	105	20	2	2	NUM
cana-5307	105	21	box	box	NOUN
cana-5307	105	22	-	-	PUNCT
cana-5307	105	23	counting	counting	NOUN
cana-5307	105	24	method	method	NOUN
cana-5307	105	25	for	for	ADP
cana-5307	105	26	tree	tree	NOUN
cana-5307	105	27	branching	branch	VERB
cana-5307	105	28	patterns	pattern	NOUN
cana-5307	105	29	number	number	NOUN
cana-5307	105	30	of	of	ADP
cana-5307	105	31	boxes	box	NOUN
cana-5307	105	32	(	(	PUNCT
cana-5307	105	33	n(ϵ	n(ϵ	NOUN
cana-5307	105	34	)	)	PUNCT
cana-5307	105	35	)	)	PUNCT
cana-5307	105	36	fractal	fractal	ADJ
cana-5307	105	37	dimension	dimension	NOUN
cana-5307	105	38	estimate	estimate	NOUN
cana-5307	105	39	communications	communication	NOUN
cana-5307	105	40	on	on	ADP
cana-5307	105	41	applied	apply	VERB
cana-5307	105	42	nonlinear	nonlinear	ADJ
cana-5307	105	43	analysis	analysis	NOUN
cana-5307	105	44	issn	issn	NOUN
cana-5307	105	45	:	:	PUNCT
cana-5307	105	46	1074	1074	NUM
cana-5307	105	47	-	-	PUNCT
cana-5307	105	48	133x	133x	NUM
cana-5307	105	49	vol	vol	NOUN
cana-5307	105	50	31	31	NUM
cana-5307	105	51	no	no	NOUN
cana-5307	105	52	.	.	PUNCT
cana-5307	106	1	2s	2s	NUM
cana-5307	106	2	(	(	PUNCT
cana-5307	106	3	2024	2024	NUM
cana-5307	106	4	)	)	PUNCT
cana-5307	106	5	736	736	NUM
cana-5307	106	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5307	106	7	figure	figure	NOUN
cana-5307	106	8	3	3	NUM
cana-5307	106	9	:	:	PUNCT
cana-5307	106	10	lyapunov	lyapunov	NOUN
cana-5307	106	11	exponent	exponent	NOUN
cana-5307	106	12	calculation	calculation	NOUN
cana-5307	106	13	for	for	ADP
cana-5307	106	14	atmospheric	atmospheric	ADJ
cana-5307	106	15	system	system	NOUN
cana-5307	106	16	the	the	DET
cana-5307	106	17	validation	validation	NOUN
cana-5307	106	18	procedure	procedure	NOUN
cana-5307	106	19	of	of	ADP
cana-5307	106	20	our	our	PRON
cana-5307	106	21	methodology	methodology	NOUN
cana-5307	106	22	depended	depend	VERB
cana-5307	106	23	on	on	ADP
cana-5307	106	24	comparing	compare	VERB
cana-5307	106	25	model	model	NOUN
cana-5307	106	26	predictions	prediction	NOUN
cana-5307	106	27	against	against	ADP
cana-5307	106	28	recognized	recognize	VERB
cana-5307	106	29	theoretical	theoretical	ADJ
cana-5307	106	30	models	model	NOUN
cana-5307	106	31	.	.	PUNCT
cana-5307	107	1	the	the	DET
cana-5307	107	2	comparison	comparison	NOUN
cana-5307	107	3	between	between	ADP
cana-5307	107	4	fractal	fractal	ADJ
cana-5307	107	5	dimension	dimension	NOUN
cana-5307	107	6	and	and	CCONJ
cana-5307	107	7	lyapunov	lyapunov	PROPN
cana-5307	107	8	exponents	exponent	NOUN
cana-5307	107	9	appears	appear	VERB
cana-5307	107	10	in	in	ADP
cana-5307	107	11	table	table	NOUN
cana-5307	107	12	1	1	NUM
cana-5307	107	13	for	for	ADP
cana-5307	107	14	both	both	DET
cana-5307	107	15	tree	tree	NOUN
cana-5307	107	16	branching	branching	NOUN
cana-5307	107	17	and	and	CCONJ
cana-5307	107	18	atmospheric	atmospheric	ADJ
cana-5307	107	19	systems	system	NOUN
cana-5307	107	20	.	.	PUNCT
cana-5307	108	1	research	research	NOUN
cana-5307	108	2	findings	finding	NOUN
cana-5307	108	3	validated	validate	VERB
cana-5307	108	4	the	the	DET
cana-5307	108	5	correct	correct	ADJ
cana-5307	108	6	application	application	NOUN
cana-5307	108	7	of	of	ADP
cana-5307	108	8	both	both	DET
cana-5307	108	9	fractal	fractal	ADJ
cana-5307	108	10	geometry	geometry	NOUN
cana-5307	108	11	and	and	CCONJ
cana-5307	108	12	chaos	chaos	NOUN
cana-5307	108	13	theory	theory	NOUN
cana-5307	108	14	in	in	ADP
cana-5307	108	15	the	the	DET
cana-5307	108	16	modeling	modeling	NOUN
cana-5307	108	17	of	of	ADP
cana-5307	108	18	natural	natural	ADJ
cana-5307	108	19	systems	system	NOUN
cana-5307	108	20	.	.	PUNCT
cana-5307	109	1	table	table	NOUN
cana-5307	109	2	1	1	NUM
cana-5307	109	3	:	:	PUNCT
cana-5307	109	4	comparison	comparison	NOUN
cana-5307	109	5	of	of	ADP
cana-5307	109	6	fractal	fractal	ADJ
cana-5307	109	7	dimension	dimension	NOUN
cana-5307	109	8	and	and	CCONJ
cana-5307	109	9	lyapunov	lyapunov	ADJ
cana-5307	109	10	exponent	exponent	NOUN
cana-5307	109	11	values	value	NOUN
cana-5307	109	12	system	system	NOUN
cana-5307	109	13	fractal	fractal	ADJ
cana-5307	109	14	dimension	dimension	NOUN
cana-5307	109	15	lyapunov	lyapunov	PROPN
cana-5307	109	16	exponent	exponent	NOUN
cana-5307	109	17	tree	tree	NOUN
cana-5307	109	18	branching	branch	VERB
cana-5307	109	19	patterns	pattern	NOUN
cana-5307	109	20	1.5	1.5	NUM
cana-5307	109	21	atmospheric	atmospheric	ADJ
cana-5307	109	22	system	system	NOUN
cana-5307	109	23	(	(	PUNCT
cana-5307	109	24	lorenz	lorenz	PROPN
cana-5307	109	25	)	)	PUNCT
cana-5307	109	26	0.45	0.45	NUM
cana-5307	109	27	previous	previous	ADJ
cana-5307	109	28	study	study	NOUN
cana-5307	109	29	(	(	PUNCT
cana-5307	109	30	tree	tree	NOUN
cana-5307	109	31	branching	branching	NOUN
cana-5307	109	32	)	)	PUNCT
cana-5307	109	33	1.5	1.5	NUM
cana-5307	109	34	previous	previous	ADJ
cana-5307	109	35	study	study	NOUN
cana-5307	109	36	(	(	PUNCT
cana-5307	109	37	lorenz	lorenz	PROPN
cana-5307	109	38	model	model	PROPN
cana-5307	109	39	)	)	PUNCT
cana-5307	109	40	0.47	0.47	NUM
cana-5307	109	41	researchers	researcher	NOUN
cana-5307	109	42	applied	apply	VERB
cana-5307	109	43	correlation	correlation	NOUN
cana-5307	109	44	dimension	dimension	NOUN
cana-5307	109	45	in	in	ADP
cana-5307	109	46	ecological	ecological	ADJ
cana-5307	109	47	studies	study	NOUN
cana-5307	109	48	to	to	PART
cana-5307	109	49	understand	understand	VERB
cana-5307	109	50	how	how	SCONJ
cana-5307	109	51	environmental	environmental	ADJ
cana-5307	109	52	elements	element	NOUN
cana-5307	109	53	affect	affect	VERB
cana-5307	109	54	species	specie	NOUN
cana-5307	109	55	distributions	distribution	NOUN
cana-5307	109	56	patterns	pattern	NOUN
cana-5307	109	57	.	.	PUNCT
cana-5307	110	1	research	research	NOUN
cana-5307	110	2	data	datum	NOUN
cana-5307	110	3	demonstrated	demonstrate	VERB
cana-5307	110	4	that	that	SCONJ
cana-5307	110	5	ecosystems	ecosystem	NOUN
cana-5307	110	6	having	having	AUX
cana-5307	110	7	increased	increase	VERB
cana-5307	110	8	dimensional	dimensional	ADJ
cana-5307	110	9	values	value	NOUN
cana-5307	110	10	indicated	indicate	VERB
cana-5307	110	11	species	specie	NOUN
cana-5307	110	12	demonstrated	demonstrate	VERB
cana-5307	110	13	advanced	advanced	ADJ
cana-5307	110	14	interdependent	interdependent	ADJ
cana-5307	110	15	relationships	relationship	NOUN
cana-5307	110	16	.	.	PUNCT
cana-5307	111	1	scientific	scientific	ADJ
cana-5307	111	2	analysis	analysis	NOUN
cana-5307	111	3	revealed	reveal	VERB
cana-5307	111	4	that	that	SCONJ
cana-5307	111	5	such	such	ADJ
cana-5307	111	6	ecosystems	ecosystem	NOUN
cana-5307	111	7	presented	present	VERB
cana-5307	111	8	systems	system	NOUN
cana-5307	111	9	of	of	ADP
cana-5307	111	10	nonlinear	nonlinear	ADJ
cana-5307	111	11	interconnections	interconnection	NOUN
cana-5307	111	12	which	which	PRON
cana-5307	111	13	established	establish	VERB
cana-5307	111	14	effective	effective	ADJ
cana-5307	111	15	predictions	prediction	NOUN
cana-5307	111	16	through	through	ADP
cana-5307	111	17	application	application	NOUN
cana-5307	111	18	of	of	ADP
cana-5307	111	19	fractal	fractal	ADJ
cana-5307	111	20	and	and	CCONJ
cana-5307	111	21	chaotic	chaotic	ADJ
cana-5307	111	22	mathematical	mathematical	ADJ
cana-5307	111	23	methods	method	NOUN
cana-5307	111	24	.	.	PUNCT
cana-5307	112	1	the	the	DET
cana-5307	112	2	table	table	NOUN
cana-5307	112	3	demonstrates	demonstrate	VERB
cana-5307	112	4	the	the	DET
cana-5307	112	5	comparison	comparison	NOUN
cana-5307	112	6	between	between	ADP
cana-5307	112	7	various	various	ADJ
cana-5307	112	8	ecosystems	ecosystem	NOUN
cana-5307	112	9	by	by	ADP
cana-5307	112	10	displaying	display	VERB
cana-5307	112	11	their	their	PRON
cana-5307	112	12	correlation	correlation	NOUN
cana-5307	112	13	dimensions	dimension	NOUN
cana-5307	112	14	in	in	ADP
cana-5307	112	15	order	order	NOUN
cana-5307	112	16	to	to	PART
cana-5307	112	17	show	show	VERB
cana-5307	112	18	how	how	SCONJ
cana-5307	112	19	dissimilar	dissimilar	ADJ
cana-5307	112	20	ecosystems	ecosystem	NOUN
cana-5307	112	21	respond	respond	VERB
cana-5307	112	22	to	to	ADP
cana-5307	112	23	these	these	DET
cana-5307	112	24	modeling	modeling	NOUN
cana-5307	112	25	approaches	approach	NOUN
cana-5307	112	26	.	.	PUNCT
cana-5307	113	1	0.0005	0.0005	NUM
cana-5307	113	2	0.002	0.002	NUM
cana-5307	113	3	0.005	0.005	NUM
cana-5307	113	4	0.45	0.45	NUM
cana-5307	113	5	0.46	0.46	NUM
cana-5307	113	6	0.47	0.47	NUM
cana-5307	113	7	0	0	NUM
cana-5307	113	8	%	%	NOUN
cana-5307	113	9	10	10	NUM
cana-5307	113	10	%	%	NOUN
cana-5307	113	11	20	20	NUM
cana-5307	113	12	%	%	NOUN
cana-5307	113	13	30	30	NUM
cana-5307	113	14	%	%	NOUN
cana-5307	113	15	40	40	NUM
cana-5307	113	16	%	%	NOUN
cana-5307	113	17	50	50	NUM
cana-5307	113	18	%	%	NOUN
cana-5307	113	19	60	60	NUM
cana-5307	113	20	%	%	NOUN
cana-5307	113	21	70	70	NUM
cana-5307	113	22	%	%	NOUN
cana-5307	113	23	80	80	NUM
cana-5307	113	24	%	%	NOUN
cana-5307	113	25	90	90	NUM
cana-5307	113	26	%	%	NOUN
cana-5307	113	27	100	100	NUM
cana-5307	113	28	%	%	NOUN
cana-5307	113	29	0.1	0.1	NUM
cana-5307	113	30	0.5	0.5	NUM
cana-5307	113	31	1	1	NUM
cana-5307	113	32	lyapunov	lyapunov	NOUN
cana-5307	113	33	exponent	exponent	NOUN
cana-5307	113	34	calculation	calculation	NOUN
cana-5307	113	35	for	for	ADP
cana-5307	113	36	atmospheric	atmospheric	ADJ
cana-5307	113	37	system	system	NOUN
cana-5307	113	38	distance	distance	NOUN
cana-5307	113	39	between	between	ADP
cana-5307	113	40	trajectories	trajectory	NOUN
cana-5307	113	41	(	(	PUNCT
cana-5307	113	42	δx	δx	NOUN
cana-5307	113	43	)	)	PUNCT
cana-5307	113	44	lyapunov	lyapunov	NOUN
cana-5307	113	45	exponent	exponent	NOUN
cana-5307	113	46	estimate	estimate	VERB
cana-5307	113	47	communications	communication	NOUN
cana-5307	113	48	on	on	ADP
cana-5307	113	49	applied	apply	VERB
cana-5307	113	50	nonlinear	nonlinear	ADJ
cana-5307	113	51	analysis	analysis	NOUN
cana-5307	113	52	issn	issn	NOUN
cana-5307	113	53	:	:	PUNCT
cana-5307	113	54	1074	1074	NUM
cana-5307	113	55	-	-	PUNCT
cana-5307	113	56	133x	133x	NUM
cana-5307	113	57	vol	vol	NOUN
cana-5307	113	58	31	31	NUM
cana-5307	113	59	no	no	NOUN
cana-5307	113	60	.	.	PUNCT
cana-5307	114	1	2s	2s	NUM
cana-5307	114	2	(	(	PUNCT
cana-5307	114	3	2024	2024	NUM
cana-5307	114	4	)	)	PUNCT
cana-5307	114	5	737	737	NUM
cana-5307	114	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5307	114	7	table	table	NOUN
cana-5307	114	8	2	2	NUM
cana-5307	114	9	:	:	PUNCT
cana-5307	114	10	comparison	comparison	NOUN
cana-5307	114	11	of	of	ADP
cana-5307	114	12	correlation	correlation	NOUN
cana-5307	114	13	dimension	dimension	NOUN
cana-5307	114	14	in	in	ADP
cana-5307	114	15	different	different	ADJ
cana-5307	114	16	ecosystems	ecosystem	NOUN
cana-5307	114	17	ecosystem	ecosystem	NOUN
cana-5307	114	18	type	type	NOUN
cana-5307	114	19	correlation	correlation	NOUN
cana-5307	114	20	dimension	dimension	NOUN
cana-5307	114	21	simple	simple	ADJ
cana-5307	114	22	ecosystem	ecosystem	NOUN
cana-5307	114	23	1.2	1.2	NUM
cana-5307	114	24	complex	complex	ADJ
cana-5307	114	25	ecosystem	ecosystem	NOUN
cana-5307	114	26	1.8	1.8	NUM
cana-5307	114	27	previous	previous	ADJ
cana-5307	114	28	study	study	NOUN
cana-5307	114	29	(	(	PUNCT
cana-5307	114	30	simple	simple	ADJ
cana-5307	114	31	)	)	PUNCT
cana-5307	114	32	1.1	1.1	NUM
cana-5307	114	33	previous	previous	ADJ
cana-5307	114	34	study	study	NOUN
cana-5307	114	35	(	(	PUNCT
cana-5307	114	36	complex	complex	ADJ
cana-5307	114	37	)	)	PUNCT
cana-5307	114	38	1.7	1.7	NUM
cana-5307	114	39	scientific	scientific	ADJ
cana-5307	114	40	data	datum	NOUN
cana-5307	114	41	demonstrates	demonstrate	VERB
cana-5307	114	42	that	that	SCONJ
cana-5307	114	43	fractal	fractal	ADJ
cana-5307	114	44	geometry	geometry	NOUN
cana-5307	114	45	serves	serve	VERB
cana-5307	114	46	as	as	ADP
cana-5307	114	47	an	an	DET
cana-5307	114	48	appropriate	appropriate	ADJ
cana-5307	114	49	method	method	NOUN
cana-5307	114	50	to	to	PART
cana-5307	114	51	model	model	VERB
cana-5307	114	52	simultaneous	simultaneous	ADJ
cana-5307	114	53	natural	natural	ADJ
cana-5307	114	54	spatial	spatial	ADJ
cana-5307	114	55	and	and	CCONJ
cana-5307	114	56	temporal	temporal	ADJ
cana-5307	114	57	systems	system	NOUN
cana-5307	114	58	complexity	complexity	NOUN
cana-5307	114	59	.	.	PUNCT
cana-5307	115	1	the	the	DET
cana-5307	115	2	research	research	NOUN
cana-5307	115	3	demonstrated	demonstrate	VERB
cana-5307	115	4	how	how	SCONJ
cana-5307	115	5	complex	complex	ADJ
cana-5307	115	6	ecosystems	ecosystem	NOUN
cana-5307	115	7	possess	possess	VERB
cana-5307	115	8	fractal	fractal	ADJ
cana-5307	115	9	structures	structure	NOUN
cana-5307	115	10	which	which	PRON
cana-5307	115	11	correspond	correspond	VERB
cana-5307	115	12	to	to	ADP
cana-5307	115	13	elevated	elevated	ADJ
cana-5307	115	14	measurements	measurement	NOUN
cana-5307	115	15	of	of	ADP
cana-5307	115	16	correlation	correlation	NOUN
cana-5307	115	17	dimension	dimension	NOUN
cana-5307	115	18	compared	compare	VERB
cana-5307	115	19	to	to	ADP
cana-5307	115	20	simpler	simple	ADJ
cana-5307	115	21	systems	system	NOUN
cana-5307	115	22	.	.	PUNCT
cana-5307	116	1	fractal	fractal	ADJ
cana-5307	116	2	geometry	geometry	NOUN
cana-5307	116	3	demonstrates	demonstrate	VERB
cana-5307	116	4	high	high	ADJ
cana-5307	116	5	reliability	reliability	NOUN
cana-5307	116	6	to	to	PART
cana-5307	116	7	measure	measure	VERB
cana-5307	116	8	complex	complex	ADJ
cana-5307	116	9	ecological	ecological	ADJ
cana-5307	116	10	patterns	pattern	NOUN
cana-5307	116	11	together	together	ADV
cana-5307	116	12	with	with	ADP
cana-5307	116	13	their	their	PRON
cana-5307	116	14	dynamic	dynamic	ADJ
cana-5307	116	15	elements	element	NOUN
cana-5307	116	16	[	[	X
cana-5307	116	17	11	11	NUM
cana-5307	116	18	]	]	PUNCT
cana-5307	116	19	.	.	PUNCT
cana-5307	117	1	fractal	fractal	ADJ
cana-5307	117	2	analysis	analysis	NOUN
cana-5307	117	3	through	through	ADP
cana-5307	117	4	integration	integration	NOUN
cana-5307	117	5	with	with	ADP
cana-5307	117	6	chaos	chaos	NOUN
cana-5307	117	7	theory	theory	NOUN
cana-5307	117	8	allowed	allow	VERB
cana-5307	117	9	scientists	scientist	NOUN
cana-5307	117	10	to	to	PART
cana-5307	117	11	study	study	VERB
cana-5307	117	12	turbulent	turbulent	ADJ
cana-5307	117	13	river	river	NOUN
cana-5307	117	14	flows	flow	NOUN
cana-5307	117	15	because	because	SCONJ
cana-5307	117	16	they	they	PRON
cana-5307	117	17	identified	identify	VERB
cana-5307	117	18	self	self	NOUN
cana-5307	117	19	-	-	PUNCT
cana-5307	117	20	similar	similar	ADJ
cana-5307	117	21	structures	structure	NOUN
cana-5307	117	22	as	as	ADV
cana-5307	117	23	well	well	ADV
cana-5307	117	24	as	as	ADP
cana-5307	117	25	chaotic	chaotic	ADJ
cana-5307	117	26	dynamical	dynamical	ADJ
cana-5307	117	27	patterns	pattern	NOUN
cana-5307	117	28	.	.	PUNCT
cana-5307	118	1	previous	previous	ADJ
cana-5307	118	2	research	research	NOUN
cana-5307	118	3	findings	finding	NOUN
cana-5307	118	4	coincided	coincide	VERB
cana-5307	118	5	with	with	ADP
cana-5307	118	6	these	these	DET
cana-5307	118	7	results	result	NOUN
cana-5307	118	8	due	due	ADP
cana-5307	118	9	to	to	ADP
cana-5307	118	10	fractal	fractal	ADJ
cana-5307	118	11	geometry	geometry	NOUN
cana-5307	118	12	proving	prove	VERB
cana-5307	118	13	its	its	PRON
cana-5307	118	14	essential	essential	ADJ
cana-5307	118	15	role	role	NOUN
cana-5307	118	16	in	in	ADP
cana-5307	118	17	studying	study	VERB
cana-5307	118	18	natural	natural	ADJ
cana-5307	118	19	events	event	NOUN
cana-5307	118	20	involving	involve	VERB
cana-5307	118	21	river	river	NOUN
cana-5307	118	22	networks	network	NOUN
cana-5307	118	23	and	and	CCONJ
cana-5307	118	24	hydrological	hydrological	ADJ
cana-5307	118	25	systems	system	NOUN
cana-5307	118	26	.	.	PUNCT
cana-5307	119	1	simulations	simulation	NOUN
cana-5307	119	2	confirmed	confirm	VERB
cana-5307	119	3	how	how	SCONJ
cana-5307	119	4	chaos	chaos	NOUN
cana-5307	119	5	theory	theory	NOUN
cana-5307	119	6	predictably	predictably	ADV
cana-5307	119	7	controls	control	VERB
cana-5307	119	8	the	the	DET
cana-5307	119	9	behavioral	behavioral	ADJ
cana-5307	119	10	patterns	pattern	NOUN
cana-5307	119	11	of	of	ADP
cana-5307	119	12	fluid	fluid	NOUN
cana-5307	119	13	flows	flow	NOUN
cana-5307	119	14	together	together	ADV
cana-5307	119	15	with	with	ADP
cana-5307	119	16	population	population	NOUN
cana-5307	119	17	dynamics	dynamic	NOUN
cana-5307	119	18	.	.	PUNCT
cana-5307	120	1	in	in	ADP
cana-5307	120	2	ecological	ecological	ADJ
cana-5307	120	3	research	research	NOUN
cana-5307	120	4	the	the	DET
cana-5307	120	5	discovery	discovery	NOUN
cana-5307	120	6	holds	hold	VERB
cana-5307	120	7	great	great	ADJ
cana-5307	120	8	value	value	NOUN
cana-5307	120	9	because	because	SCONJ
cana-5307	120	10	it	it	PRON
cana-5307	120	11	improves	improve	VERB
cana-5307	120	12	predictions	prediction	NOUN
cana-5307	120	13	of	of	ADP
cana-5307	120	14	species	species	NOUN
cana-5307	120	15	populations	population	NOUN
cana-5307	120	16	and	and	CCONJ
cana-5307	120	17	ecosystem	ecosystem	NOUN
cana-5307	120	18	stability	stability	NOUN
cana-5307	120	19	within	within	ADP
cana-5307	120	20	chaotic	chaotic	ADJ
cana-5307	120	21	systems	system	NOUN
cana-5307	120	22	.	.	PUNCT
cana-5307	121	1	different	different	ADJ
cana-5307	121	2	natural	natural	ADJ
cana-5307	121	3	systems	system	NOUN
cana-5307	121	4	such	such	ADJ
cana-5307	121	5	as	as	ADP
cana-5307	121	6	trees	tree	NOUN
cana-5307	121	7	and	and	CCONJ
cana-5307	121	8	climate	climate	NOUN
cana-5307	121	9	conditions	condition	NOUN
cana-5307	121	10	and	and	CCONJ
cana-5307	121	11	ecological	ecological	ADJ
cana-5307	121	12	systems	system	NOUN
cana-5307	121	13	have	have	AUX
cana-5307	121	14	shown	show	VERB
cana-5307	121	15	the	the	DET
cana-5307	121	16	ability	ability	NOUN
cana-5307	121	17	of	of	ADP
cana-5307	121	18	mathematical	mathematical	ADJ
cana-5307	121	19	models	model	NOUN
cana-5307	121	20	to	to	PART
cana-5307	121	21	analyze	analyze	VERB
cana-5307	121	22	self	self	NOUN
cana-5307	121	23	-	-	PUNCT
cana-5307	121	24	similar	similar	ADJ
cana-5307	121	25	and	and	CCONJ
cana-5307	121	26	chaotic	chaotic	ADJ
cana-5307	121	27	behavior	behavior	NOUN
cana-5307	121	28	patterns	pattern	NOUN
cana-5307	121	29	.	.	PUNCT
cana-5307	122	1	our	our	PRON
cana-5307	122	2	research	research	NOUN
cana-5307	122	3	results	result	NOUN
cana-5307	122	4	verify	verify	VERB
cana-5307	122	5	the	the	DET
cana-5307	122	6	proposed	propose	VERB
cana-5307	122	7	methodology	methodology	NOUN
cana-5307	122	8	's	's	PART
cana-5307	122	9	reliability	reliability	NOUN
cana-5307	122	10	because	because	SCONJ
cana-5307	122	11	they	they	PRON
cana-5307	122	12	show	show	VERB
cana-5307	122	13	comparable	comparable	ADJ
cana-5307	122	14	alignment	alignment	NOUN
cana-5307	122	15	with	with	ADP
cana-5307	122	16	previous	previous	ADJ
cana-5307	122	17	studies	study	NOUN
cana-5307	122	18	enabling	enable	VERB
cana-5307	122	19	effective	effective	ADJ
cana-5307	122	20	analysis	analysis	NOUN
cana-5307	122	21	of	of	ADP
cana-5307	122	22	complex	complex	ADJ
cana-5307	122	23	natural	natural	ADJ
cana-5307	122	24	events	event	NOUN
cana-5307	122	25	[	[	X
cana-5307	122	26	12	12	NUM
cana-5307	122	27	]	]	PUNCT
cana-5307	122	28	.	.	PUNCT
cana-5307	123	1	v.	v.	ADP
cana-5307	123	2	conclusion	conclusion	NOUN
cana-5307	123	3	these	these	DET
cana-5307	123	4	two	two	NUM
cana-5307	123	5	theories	theory	NOUN
cana-5307	123	6	when	when	SCONJ
cana-5307	123	7	utilized	utilize	VERB
cana-5307	123	8	together	together	ADV
cana-5307	123	9	provide	provide	VERB
cana-5307	123	10	scientific	scientific	ADJ
cana-5307	123	11	fields	field	NOUN
cana-5307	123	12	with	with	ADP
cana-5307	123	13	a	a	DET
cana-5307	123	14	better	well	ADJ
cana-5307	123	15	capability	capability	NOUN
cana-5307	123	16	to	to	PART
cana-5307	123	17	create	create	VERB
cana-5307	123	18	improved	improve	VERB
cana-5307	123	19	predictive	predictive	ADJ
cana-5307	123	20	models	model	NOUN
cana-5307	123	21	of	of	ADP
cana-5307	123	22	complex	complex	ADJ
cana-5307	123	23	systems	system	NOUN
cana-5307	123	24	.	.	PUNCT
cana-5307	124	1	researchers	researcher	NOUN
cana-5307	124	2	should	should	AUX
cana-5307	124	3	advance	advance	VERB
cana-5307	124	4	investigation	investigation	NOUN
cana-5307	124	5	via	via	ADP
cana-5307	124	6	fractal	fractal	ADJ
cana-5307	124	7	and	and	CCONJ
cana-5307	124	8	chaotic	chaotic	ADJ
cana-5307	124	9	methods	method	NOUN
cana-5307	124	10	for	for	ADP
cana-5307	124	11	constructing	construct	VERB
cana-5307	124	12	advanced	advanced	ADJ
cana-5307	124	13	predictive	predictive	ADJ
cana-5307	124	14	models	model	NOUN
cana-5307	124	15	to	to	PART
cana-5307	124	16	tackle	tackle	VERB
cana-5307	124	17	challenges	challenge	NOUN
cana-5307	124	18	in	in	ADP
cana-5307	124	19	natural	natural	ADJ
cana-5307	124	20	phenomenon	phenomenon	NOUN
cana-5307	124	21	understanding	understanding	NOUN
cana-5307	124	22	.	.	PUNCT
cana-5307	125	1	references	reference	NOUN
cana-5307	125	2	[	[	X
cana-5307	125	3	1	1	X
cana-5307	125	4	]	]	PUNCT
cana-5307	125	5	e.	e.	PROPN
cana-5307	125	6	adediran	adediran	PROPN
cana-5307	125	7	,	,	PUNCT
cana-5307	125	8	“	"	PUNCT
cana-5307	125	9	complexity	complexity	NOUN
cana-5307	125	10	theory	theory	NOUN
cana-5307	125	11	;	;	PUNCT
cana-5307	125	12	unraveling	unravel	VERB
cana-5307	125	13	the	the	DET
cana-5307	125	14	fabric	fabric	NOUN
cana-5307	125	15	of	of	ADP
cana-5307	125	16	intricacy	intricacy	ADJ
cana-5307	125	17	,	,	PUNCT
cana-5307	125	18	”	"	PUNCT
cana-5307	125	19	ssrn	ssrn	PROPN
cana-5307	125	20	electronic	electronic	ADJ
cana-5307	125	21	journal	journal	NOUN
cana-5307	125	22	,	,	PUNCT
cana-5307	125	23	jan	jan	PROPN
cana-5307	125	24	.	.	PROPN
cana-5307	125	25	2024	2024	NUM
cana-5307	125	26	,	,	PUNCT
cana-5307	125	27	doi	doi	NOUN
cana-5307	125	28	:	:	PUNCT
cana-5307	125	29	10.2139	10.2139	NUM
cana-5307	125	30	/	/	SYM
cana-5307	125	31	ssrn.4878442	ssrn.4878442	PROPN
cana-5307	125	32	.	.	PUNCT
cana-5307	126	1	[	[	X
cana-5307	126	2	2	2	NUM
cana-5307	126	3	]	]	PUNCT
cana-5307	126	4	r.	r.	PROPN
cana-5307	126	5	p.	p.	PROPN
cana-5307	126	6	srivastava	srivastava	PROPN
cana-5307	126	7	,	,	PUNCT
cana-5307	126	8	n.	n.	PROPN
cana-5307	126	9	vedanti	vedanti	ADJ
cana-5307	126	10	,	,	PUNCT
cana-5307	126	11	and	and	CCONJ
cana-5307	126	12	v.	v.	ADP
cana-5307	126	13	p.	p.	NOUN
cana-5307	126	14	dimri	dimri	PROPN
cana-5307	126	15	,	,	PUNCT
cana-5307	126	16	“	"	PUNCT
cana-5307	126	17	fractals	fractal	NOUN
cana-5307	126	18	and	and	CCONJ
cana-5307	126	19	chaos	chaos	NOUN
cana-5307	126	20	,	,	PUNCT
cana-5307	126	21	”	"	PUNCT
cana-5307	126	22	in	in	ADP
cana-5307	126	23	encyclopedia	encyclopedia	NOUN
cana-5307	126	24	of	of	ADP
cana-5307	126	25	earth	earth	NOUN
cana-5307	126	26	sciences	science	NOUN
cana-5307	126	27	series	series	NOUN
cana-5307	126	28	/	/	SYM
cana-5307	126	29	encyclopedia	encyclopedia	NOUN
cana-5307	126	30	of	of	ADP
cana-5307	126	31	earth	earth	NOUN
cana-5307	126	32	sciences	science	NOUN
cana-5307	126	33	,	,	PUNCT
cana-5307	126	34	2021	2021	NUM
cana-5307	126	35	,	,	PUNCT
cana-5307	126	36	pp	pp	ADJ
cana-5307	126	37	.	.	PUNCT
cana-5307	127	1	405–412	405–412	NUM
cana-5307	127	2	.	.	PUNCT
cana-5307	128	1	doi	doi	NOUN
cana-5307	128	2	:	:	PUNCT
cana-5307	128	3	10.1007/978	10.1007/978	NUM
cana-5307	128	4	-	-	SYM
cana-5307	128	5	3	3	NUM
cana-5307	128	6	-	-	PUNCT
cana-5307	128	7	030	030	NUM
cana-5307	128	8	-	-	PUNCT
cana-5307	128	9	58631	58631	NUM
cana-5307	128	10	-	-	PUNCT
cana-5307	128	11	7_34	7_34	NUM
cana-5307	128	12	.	.	PUNCT
cana-5307	129	1	[	[	X
cana-5307	129	2	3	3	X
cana-5307	129	3	]	]	PUNCT
cana-5307	129	4	t.	t.	PROPN
cana-5307	129	5	n.	n.	PROPN
cana-5307	129	6	palmer	palmer	PROPN
cana-5307	129	7	,	,	PUNCT
cana-5307	129	8	“	"	PUNCT
cana-5307	129	9	undecidability	undecidability	NOUN
cana-5307	129	10	,	,	PUNCT
cana-5307	129	11	fractal	fractal	ADJ
cana-5307	129	12	geometry	geometry	NOUN
cana-5307	129	13	and	and	CCONJ
cana-5307	129	14	the	the	DET
cana-5307	129	15	unity	unity	NOUN
cana-5307	129	16	of	of	ADP
cana-5307	129	17	physics	physics	NOUN
cana-5307	129	18	,	,	PUNCT
cana-5307	129	19	”	"	PUNCT
cana-5307	129	20	in	in	ADP
cana-5307	129	21	the	the	DET
cana-5307	129	22	frontiers	frontier	NOUN
cana-5307	129	23	collection	collection	NOUN
cana-5307	129	24	,	,	PUNCT
cana-5307	129	25	2021	2021	NUM
cana-5307	129	26	,	,	PUNCT
cana-5307	129	27	pp	pp	ADJ
cana-5307	129	28	.	.	PUNCT
cana-5307	130	1	81–95	81–95	NUM
cana-5307	130	2	.	.	PUNCT
cana-5307	131	1	doi	doi	NOUN
cana-5307	131	2	:	:	PUNCT
cana-5307	131	3	10.1007/978	10.1007/978	NUM
cana-5307	131	4	-	-	SYM
cana-5307	131	5	3	3	NUM
cana-5307	131	6	-	-	PUNCT
cana-5307	131	7	030	030	NUM
cana-5307	131	8	-	-	PUNCT
cana-5307	131	9	70354	70354	NUM
cana-5307	131	10	-	-	PUNCT
cana-5307	131	11	7_6	7_6	NUM
cana-5307	131	12	.	.	PUNCT
cana-5307	132	1	communications	communication	NOUN
cana-5307	132	2	on	on	ADP
cana-5307	132	3	applied	apply	VERB
cana-5307	132	4	nonlinear	nonlinear	ADJ
cana-5307	132	5	analysis	analysis	NOUN
cana-5307	132	6	issn	issn	NOUN
cana-5307	132	7	:	:	PUNCT
cana-5307	132	8	1074	1074	NUM
cana-5307	132	9	-	-	PUNCT
cana-5307	132	10	133x	133x	NUM
cana-5307	132	11	vol	vol	NOUN
cana-5307	132	12	31	31	NUM
cana-5307	132	13	no	no	NOUN
cana-5307	132	14	.	.	PUNCT
cana-5307	133	1	2s	2s	NUM
cana-5307	133	2	(	(	PUNCT
cana-5307	133	3	2024	2024	NUM
cana-5307	133	4	)	)	PUNCT
cana-5307	133	5	738	738	NUM
cana-5307	133	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5307	134	1	[	[	X
cana-5307	134	2	4	4	X
cana-5307	134	3	]	]	PUNCT
cana-5307	134	4	t.	t.	PROPN
cana-5307	134	5	dutta	dutta	PROPN
cana-5307	134	6	and	and	CCONJ
cana-5307	134	7	a.	a.	NOUN
cana-5307	134	8	bandyopadhyay	bandyopadhyay	NOUN
cana-5307	134	9	,	,	PUNCT
cana-5307	134	10	“	"	PUNCT
cana-5307	134	11	unsolved	unsolved	ADJ
cana-5307	134	12	mysteries	mystery	NOUN
cana-5307	134	13	of	of	ADP
cana-5307	134	14	the	the	DET
cana-5307	134	15	mind	mind	NOUN
cana-5307	134	16	and	and	CCONJ
cana-5307	134	17	the	the	DET
cana-5307	134	18	brain	brain	NOUN
cana-5307	134	19	:	:	PUNCT
cana-5307	134	20	fractal	fractal	ADJ
cana-5307	134	21	brain	brain	NOUN
cana-5307	134	22	hypothesis	hypothesis	NOUN
cana-5307	134	23	,	,	PUNCT
cana-5307	134	24	”	"	PUNCT
cana-5307	134	25	in	in	ADP
cana-5307	134	26	studies	study	NOUN
cana-5307	134	27	in	in	ADP
cana-5307	134	28	rhythm	rhythm	PROPN
cana-5307	134	29	engineering	engineering	NOUN
cana-5307	134	30	,	,	PUNCT
cana-5307	134	31	2024	2024	NUM
cana-5307	134	32	,	,	PUNCT
cana-5307	134	33	pp	pp	ADV
cana-5307	134	34	.	.	PUNCT
cana-5307	135	1	1–40	1–40	PROPN
cana-5307	135	2	.	.	PUNCT
cana-5307	136	1	doi	doi	NOUN
cana-5307	136	2	:	:	PUNCT
cana-5307	136	3	10.1007/978	10.1007/978	NUM
cana-5307	136	4	-	-	SYM
cana-5307	136	5	981	981	NUM
cana-5307	136	6	-	-	PUNCT
cana-5307	136	7	99	99	NUM
cana-5307	136	8	-	-	PUNCT
cana-5307	136	9	9334	9334	NUM
cana-5307	136	10	-	-	SYM
cana-5307	136	11	5_1	5_1	NUM
cana-5307	136	12	.	.	PUNCT
cana-5307	137	1	[	[	X
cana-5307	137	2	5	5	NUM
cana-5307	137	3	]	]	PUNCT
cana-5307	137	4	b.	b.	PROPN
cana-5307	137	5	h.	h.	PROPN
cana-5307	137	6	kaygisiz	kaygisiz	PROPN
cana-5307	137	7	,	,	PUNCT
cana-5307	137	8	m.	m.	NOUN
cana-5307	137	9	karahan	karahan	PROPN
cana-5307	137	10	,	,	PUNCT
cana-5307	137	11	a.	a.	NOUN
cana-5307	137	12	m.	m.	NOUN
cana-5307	137	13	erkmen	erkman	NOUN
cana-5307	137	14	,	,	PUNCT
cana-5307	137	15	and	and	CCONJ
cana-5307	137	16	i.	i.	PROPN
cana-5307	137	17	erkmen	erkman	NOUN
cana-5307	137	18	,	,	PUNCT
cana-5307	137	19	“	"	PUNCT
cana-5307	137	20	robotic	robotic	ADJ
cana-5307	137	21	approaches	approach	NOUN
cana-5307	137	22	at	at	ADP
cana-5307	137	23	the	the	DET
cana-5307	137	24	crossroads	crossroad	NOUN
cana-5307	137	25	of	of	ADP
cana-5307	137	26	chaos	chaos	NOUN
cana-5307	137	27	,	,	PUNCT
cana-5307	137	28	fractals	fractal	NOUN
cana-5307	137	29	and	and	CCONJ
cana-5307	137	30	percolation	percolation	NOUN
cana-5307	137	31	theory	theory	NOUN
cana-5307	137	32	,	,	PUNCT
cana-5307	137	33	”	"	PUNCT
cana-5307	137	34	in	in	ADP
cana-5307	137	35	understanding	understand	VERB
cana-5307	137	36	complex	complex	ADJ
cana-5307	137	37	systems	system	NOUN
cana-5307	137	38	,	,	PUNCT
cana-5307	137	39	2011	2011	NUM
cana-5307	137	40	,	,	PUNCT
cana-5307	137	41	pp	pp	ADJ
cana-5307	137	42	.	.	PUNCT
cana-5307	138	1	167–199	167–199	NUM
cana-5307	138	2	.	.	PUNCT
cana-5307	139	1	doi	doi	NOUN
cana-5307	139	2	:	:	PUNCT
cana-5307	139	3	10.1007/978	10.1007/978	NUM
cana-5307	139	4	-	-	SYM
cana-5307	139	5	3	3	NUM
cana-5307	139	6	-	-	PUNCT
cana-5307	139	7	642	642	NUM
cana-5307	139	8	-	-	PUNCT
cana-5307	139	9	21922	21922	NUM
cana-5307	139	10	-	-	SYM
cana-5307	139	11	1_6	1_6	NUM
cana-5307	139	12	.	.	PUNCT
cana-5307	140	1	[	[	X
cana-5307	140	2	6	6	NUM
cana-5307	140	3	]	]	PUNCT
cana-5307	140	4	a.	a.	NOUN
cana-5307	140	5	korolj	korolj	NOUN
cana-5307	140	6	,	,	PUNCT
cana-5307	140	7	h.-t	h.-t	NOUN
cana-5307	140	8	.	.	PUNCT
cana-5307	141	1	wu	wu	PROPN
cana-5307	141	2	,	,	PUNCT
cana-5307	141	3	and	and	CCONJ
cana-5307	141	4	m.	m.	NOUN
cana-5307	141	5	radisic	radisic	NOUN
cana-5307	141	6	,	,	PUNCT
cana-5307	141	7	“	"	PUNCT
cana-5307	141	8	a	a	DET
cana-5307	141	9	healthy	healthy	ADJ
cana-5307	141	10	dose	dose	NOUN
cana-5307	141	11	of	of	ADP
cana-5307	141	12	chaos	chaos	NOUN
cana-5307	141	13	:	:	PUNCT
cana-5307	141	14	using	use	VERB
cana-5307	141	15	fractal	fractal	ADJ
cana-5307	141	16	frameworks	framework	NOUN
cana-5307	141	17	for	for	ADP
cana-5307	141	18	engineering	engineer	VERB
cana-5307	141	19	higher	high	ADJ
cana-5307	141	20	-	-	PUNCT
cana-5307	141	21	fidelity	fidelity	NOUN
cana-5307	141	22	biomedical	biomedical	ADJ
cana-5307	141	23	systems	system	NOUN
cana-5307	141	24	,	,	PUNCT
cana-5307	141	25	”	"	PUNCT
cana-5307	141	26	biomaterials	biomaterial	NOUN
cana-5307	141	27	,	,	PUNCT
cana-5307	141	28	vol	vol	NOUN
cana-5307	141	29	.	.	PROPN
cana-5307	141	30	219	219	NUM
cana-5307	141	31	,	,	PUNCT
cana-5307	141	32	p.	p.	NOUN
cana-5307	141	33	119363	119363	NUM
cana-5307	141	34	,	,	PUNCT
cana-5307	141	35	jul	jul	PROPN
cana-5307	141	36	.	.	PROPN
cana-5307	141	37	2019	2019	NUM
cana-5307	141	38	,	,	PUNCT
cana-5307	141	39	doi	doi	NOUN
cana-5307	141	40	:	:	PUNCT
cana-5307	141	41	10.1016	10.1016	NUM
cana-5307	141	42	/	/	SYM
cana-5307	141	43	j.biomaterials.2019.119363	j.biomaterials.2019.119363	NOUN
cana-5307	141	44	.	.	PUNCT
cana-5307	142	1	[	[	X
cana-5307	142	2	7	7	X
cana-5307	142	3	]	]	X
cana-5307	142	4	g.	g.	PROPN
cana-5307	142	5	werner	werner	PROPN
cana-5307	142	6	,	,	PUNCT
cana-5307	142	7	“	"	PUNCT
cana-5307	142	8	fractals	fractal	NOUN
cana-5307	142	9	in	in	ADP
cana-5307	142	10	the	the	DET
cana-5307	142	11	nervous	nervous	ADJ
cana-5307	142	12	system	system	NOUN
cana-5307	142	13	:	:	PUNCT
cana-5307	142	14	conceptual	conceptual	ADJ
cana-5307	142	15	implications	implication	NOUN
cana-5307	142	16	for	for	ADP
cana-5307	142	17	theoretical	theoretical	ADJ
cana-5307	142	18	neuroscience	neuroscience	NOUN
cana-5307	142	19	,	,	PUNCT
cana-5307	142	20	”	"	PUNCT
cana-5307	142	21	frontiers	frontier	NOUN
cana-5307	142	22	in	in	ADP
cana-5307	142	23	physiology	physiology	NOUN
cana-5307	142	24	,	,	PUNCT
cana-5307	142	25	jan	jan	PROPN
cana-5307	142	26	.	.	PROPN
cana-5307	142	27	2010	2010	NUM
cana-5307	142	28	,	,	PUNCT
cana-5307	142	29	doi	doi	NOUN
cana-5307	142	30	:	:	PUNCT
cana-5307	142	31	10.3389	10.3389	NUM
cana-5307	142	32	/	/	SYM
cana-5307	142	33	fphys.2010.00015	fphys.2010.00015	NOUN
cana-5307	142	34	.	.	PUNCT
cana-5307	143	1	[	[	X
cana-5307	143	2	8	8	NUM
cana-5307	143	3	]	]	X
cana-5307	143	4	m.	m.	NOUN
cana-5307	143	5	m.	m.	PROPN
cana-5307	143	6	haghanikar	haghanikar	PROPN
cana-5307	143	7	,	,	PUNCT
cana-5307	143	8	“	"	PUNCT
cana-5307	143	9	the	the	DET
cana-5307	143	10	art	art	NOUN
cana-5307	143	11	of	of	ADP
cana-5307	143	12	thinking	think	VERB
cana-5307	143	13	about	about	ADP
cana-5307	143	14	complex	complex	ADJ
cana-5307	143	15	systems	system	NOUN
cana-5307	143	16	,	,	PUNCT
cana-5307	143	17	”	"	PUNCT
cana-5307	143	18	in	in	ADP
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cana-5307	143	20	lectures	lecture	NOUN
cana-5307	143	21	on	on	ADP
cana-5307	143	22	engineering	engineering	NOUN
cana-5307	143	23	,	,	PUNCT
cana-5307	143	24	science	science	NOUN
cana-5307	143	25	,	,	PUNCT
cana-5307	143	26	and	and	CCONJ
cana-5307	143	27	technology	technology	NOUN
cana-5307	143	28	,	,	PUNCT
cana-5307	143	29	2021	2021	NUM
cana-5307	143	30	,	,	PUNCT
cana-5307	143	31	pp	pp	ADV
cana-5307	143	32	.	.	PUNCT
cana-5307	144	1	1–18	1–18	NOUN
cana-5307	144	2	.	.	PUNCT
cana-5307	145	1	doi	doi	NOUN
cana-5307	145	2	:	:	PUNCT
cana-5307	145	3	10.1007/978	10.1007/978	NUM
cana-5307	145	4	-	-	SYM
cana-5307	145	5	3	3	NUM
cana-5307	145	6	-	-	PUNCT
cana-5307	145	7	03102092	03102092	NUM
cana-5307	145	8	-	-	PUNCT
cana-5307	145	9	6_1	6_1	NUM
cana-5307	145	10	.	.	PUNCT
cana-5307	146	1	[	[	X
cana-5307	146	2	9	9	NUM
cana-5307	146	3	]	]	X
cana-5307	146	4	b.	b.	PROPN
cana-5307	146	5	davis	davis	PROPN
cana-5307	146	6	and	and	CCONJ
cana-5307	146	7	d.	d.	PROPN
cana-5307	146	8	j.	j.	PROPN
cana-5307	146	9	sumara	sumara	PROPN
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cana-5307	146	11	“	"	PUNCT
cana-5307	146	12	challenging	challenge	VERB
cana-5307	146	13	images	image	NOUN
cana-5307	146	14	of	of	ADP
cana-5307	146	15	knowing	know	VERB
cana-5307	146	16	:	:	PUNCT
cana-5307	146	17	complexity	complexity	NOUN
cana-5307	146	18	science	science	NOUN
cana-5307	146	19	and	and	CCONJ
cana-5307	146	20	educational	educational	ADJ
cana-5307	146	21	research	research	NOUN
cana-5307	146	22	,	,	PUNCT
cana-5307	146	23	”	"	PUNCT
cana-5307	146	24	international	international	ADJ
cana-5307	146	25	journal	journal	NOUN
cana-5307	146	26	of	of	ADP
cana-5307	146	27	qualitative	qualitative	ADJ
cana-5307	146	28	studies	study	NOUN
cana-5307	146	29	in	in	ADP
cana-5307	146	30	education	education	NOUN
cana-5307	146	31	,	,	PUNCT
cana-5307	146	32	vol	vol	NOUN
cana-5307	146	33	.	.	PROPN
cana-5307	146	34	18	18	NUM
cana-5307	146	35	,	,	PUNCT
cana-5307	146	36	no	no	INTJ
cana-5307	146	37	.	.	NOUN
cana-5307	146	38	3	3	NUM
cana-5307	146	39	,	,	PUNCT
cana-5307	146	40	pp	pp	ADJ
cana-5307	146	41	.	.	PUNCT
cana-5307	147	1	305–321	305–321	NUM
cana-5307	147	2	,	,	PUNCT
cana-5307	147	3	may	may	PROPN
cana-5307	147	4	2005	2005	NUM
cana-5307	147	5	,	,	PUNCT
cana-5307	147	6	doi	doi	NOUN
cana-5307	147	7	:	:	PUNCT
cana-5307	147	8	10.1080/09518390500082293	10.1080/09518390500082293	NUM
cana-5307	147	9	.	.	PUNCT
cana-5307	148	1	[	[	X
cana-5307	148	2	10	10	NUM
cana-5307	148	3	]	]	X
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cana-5307	148	7	rivas	rivas	PROPN
cana-5307	148	8	,	,	PUNCT
cana-5307	148	9	f.	f.	PROPN
cana-5307	148	10	sánchez	sánchez	PROPN
cana-5307	148	11	-	-	PUNCT
cana-5307	148	12	coll	coll	PROPN
cana-5307	148	13	,	,	PUNCT
cana-5307	148	14	and	and	CCONJ
cana-5307	148	15	i.	i.	PROPN
cana-5307	148	16	tormo	tormo	PROPN
cana-5307	148	17	-	-	PUNCT
cana-5307	148	18	xaixo	xaixo	PROPN
cana-5307	148	19	,	,	PUNCT
cana-5307	148	20	“	"	PUNCT
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cana-5307	148	22	or	or	CCONJ
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cana-5307	148	26	geometry	geometry	NOUN
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cana-5307	148	28	to	to	PART
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cana-5307	148	33	bitcoin	bitcoin	NOUN
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cana-5307	148	35	”	"	PUNCT
cana-5307	148	36	fractal	fractal	ADJ
cana-5307	148	37	and	and	CCONJ
cana-5307	148	38	fractional	fractional	ADJ
cana-5307	148	39	,	,	PUNCT
cana-5307	148	40	vol	vol	NOUN
cana-5307	148	41	.	.	PROPN
cana-5307	148	42	7	7	NUM
cana-5307	148	43	,	,	PUNCT
cana-5307	148	44	no	no	INTJ
cana-5307	148	45	.	.	NOUN
cana-5307	148	46	12	12	NUM
cana-5307	148	47	,	,	PUNCT
cana-5307	148	48	p.	p.	NOUN
cana-5307	148	49	870	870	NUM
cana-5307	148	50	,	,	PUNCT
cana-5307	148	51	dec	dec	PROPN
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cana-5307	148	54	,	,	PUNCT
cana-5307	148	55	doi	doi	NOUN
cana-5307	148	56	:	:	PUNCT
cana-5307	148	57	10.3390	10.3390	NUM
cana-5307	148	58	/	/	SYM
cana-5307	148	59	fractalfract7120870	fractalfract7120870	PROPN
cana-5307	148	60	.	.	PUNCT
cana-5307	149	1	[	[	X
cana-5307	149	2	11	11	NUM
cana-5307	149	3	]	]	X
cana-5307	149	4	g.	g.	PROPN
cana-5307	149	5	a.	a.	PROPN
cana-5307	149	6	losa	losa	PROPN
cana-5307	149	7	,	,	PUNCT
cana-5307	149	8	“	"	PUNCT
cana-5307	149	9	the	the	DET
cana-5307	149	10	living	live	VERB
cana-5307	149	11	realm	realm	NOUN
cana-5307	149	12	depicted	depict	VERB
cana-5307	149	13	by	by	ADP
cana-5307	149	14	the	the	DET
cana-5307	149	15	fractal	fractal	ADJ
cana-5307	149	16	geometry	geometry	NOUN
cana-5307	149	17	,	,	PUNCT
cana-5307	149	18	”	"	PUNCT
cana-5307	149	19	fractal	fractal	ADJ
cana-5307	149	20	geometry	geometry	NOUN
cana-5307	149	21	and	and	CCONJ
cana-5307	149	22	nonlinear	nonlinear	ADJ
cana-5307	149	23	analysis	analysis	NOUN
cana-5307	149	24	in	in	ADP
cana-5307	149	25	medicine	medicine	NOUN
cana-5307	149	26	and	and	CCONJ
cana-5307	149	27	biology	biology	NOUN
cana-5307	149	28	,	,	PUNCT
cana-5307	149	29	vol	vol	NOUN
cana-5307	149	30	.	.	PROPN
cana-5307	149	31	1	1	NUM
cana-5307	149	32	,	,	PUNCT
cana-5307	149	33	no	no	INTJ
cana-5307	149	34	.	.	NOUN
cana-5307	149	35	1	1	NUM
cana-5307	149	36	,	,	PUNCT
cana-5307	149	37	jan	jan	PROPN
cana-5307	149	38	.	.	PROPN
cana-5307	149	39	2015	2015	NUM
cana-5307	149	40	,	,	PUNCT
cana-5307	149	41	doi	doi	NOUN
cana-5307	149	42	:	:	PUNCT
cana-5307	149	43	10.15761	10.15761	NUM
cana-5307	149	44	/	/	SYM
cana-5307	149	45	fgnamb.1000104	fgnamb.1000104	PROPN
cana-5307	149	46	.	.	PUNCT
cana-5307	150	1	[	[	X
cana-5307	150	2	12	12	NUM
cana-5307	150	3	]	]	PUNCT
cana-5307	150	4	a.	a.	NOUN
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cana-5307	150	7	j.	j.	PROPN
cana-5307	150	8	p.	p.	PROPN
cana-5307	150	9	zane	zane	PROPN
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cana-5307	150	11	“	"	PUNCT
cana-5307	150	12	design	design	NOUN
cana-5307	150	13	in	in	ADP
cana-5307	150	14	nature	nature	NOUN
cana-5307	150	15	,	,	PUNCT
cana-5307	150	16	”	"	PUNCT
cana-5307	150	17	mechanical	mechanical	ADJ
cana-5307	150	18	engineering	engineering	NOUN
cana-5307	150	19	,	,	PUNCT
cana-5307	150	20	vol	vol	NOUN
cana-5307	150	21	.	.	PROPN
cana-5307	150	22	134	134	NUM
cana-5307	150	23	,	,	PUNCT
cana-5307	150	24	no	no	INTJ
cana-5307	150	25	.	.	NOUN
cana-5307	150	26	06	06	NUM
cana-5307	150	27	,	,	PUNCT
cana-5307	150	28	pp	pp	PROPN
cana-5307	150	29	.	.	PUNCT
cana-5307	151	1	42–47	42–47	NUM
cana-5307	151	2	,	,	PUNCT
cana-5307	151	3	jun	jun	PROPN
cana-5307	151	4	.	.	PROPN
cana-5307	151	5	2012	2012	NUM
cana-5307	151	6	,	,	PUNCT
cana-5307	151	7	doi	doi	NOUN
cana-5307	151	8	:	:	PUNCT
cana-5307	151	9	10.1115/1.2012	10.1115/1.2012	NUM
cana-5307	151	10	-	-	PUNCT
cana-5307	151	11	jun-4	jun-4	NOUN
cana-5307	151	12	.	.	PUNCT
cana-5307	152	1	[	[	X
cana-5307	152	2	13	13	NUM
cana-5307	152	3	]	]	PUNCT
cana-5307	152	4	z.	z.	PROPN
cana-5307	152	5	çalim	çalim	PROPN
cana-5307	152	6	,	,	PUNCT
cana-5307	152	7	“	"	PUNCT
cana-5307	152	8	risk	risk	NOUN
cana-5307	152	9	zone	zone	NOUN
cana-5307	152	10	analysis	analysis	NOUN
cana-5307	152	11	using	use	VERB
cana-5307	152	12	chaos	chaos	NOUN
cana-5307	152	13	theory	theory	NOUN
cana-5307	152	14	from	from	ADP
cana-5307	152	15	earthquake	earthquake	NOUN
cana-5307	152	16	data	datum	NOUN
cana-5307	152	17	,	,	PUNCT
cana-5307	152	18	”	"	PUNCT
cana-5307	152	19	recent	recent	ADJ
cana-5307	152	20	advances	advance	NOUN
cana-5307	152	21	in	in	ADP
cana-5307	152	22	science	science	NOUN
cana-5307	152	23	and	and	CCONJ
cana-5307	152	24	engineering	engineering	NOUN
cana-5307	152	25	,	,	PUNCT
cana-5307	152	26	pp	pp	ADJ
cana-5307	152	27	.	.	PUNCT
cana-5307	153	1	15–32	15–32	NUM
cana-5307	153	2	,	,	PUNCT
cana-5307	153	3	jan	jan	PROPN
cana-5307	153	4	.	.	PROPN
cana-5307	153	5	2023	2023	NUM
cana-5307	153	6	,	,	PUNCT
cana-5307	153	7	doi	doi	NOUN
cana-5307	153	8	:	:	PUNCT
cana-5307	153	9	10.14744	10.14744	NUM
cana-5307	153	10	/	/	SYM
cana-5307	153	11	rase.2023.0003	rase.2023.0003	NOUN
cana-5307	153	12	.	.	PUNCT
cana-5307	154	1	[	[	X
cana-5307	154	2	14	14	NUM
cana-5307	154	3	]	]	PUNCT
cana-5307	154	4	m.	m.	NOUN
cana-5307	154	5	hueso	hueso	PROPN
cana-5307	154	6	,	,	PUNCT
cana-5307	154	7	j.	j.	PROPN
cana-5307	154	8	m.	m.	PROPN
cana-5307	154	9	cruzado	cruzado	PROPN
cana-5307	154	10	,	,	PUNCT
cana-5307	154	11	j.	j.	PROPN
cana-5307	154	12	torras	torras	PROPN
cana-5307	154	13	,	,	PUNCT
cana-5307	154	14	and	and	CCONJ
cana-5307	154	15	e.	e.	PROPN
cana-5307	154	16	navarro	navarro	PROPN
cana-5307	154	17	,	,	PUNCT
cana-5307	154	18	“	"	PUNCT
cana-5307	154	19	aluminating	aluminate	VERB
cana-5307	154	20	the	the	DET
cana-5307	154	21	path	path	NOUN
cana-5307	154	22	of	of	ADP
cana-5307	154	23	atherosclerosis	atherosclerosis	NOUN
cana-5307	154	24	progression	progression	NOUN
cana-5307	154	25	:	:	PUNCT
cana-5307	154	26	chaos	chaos	NOUN
cana-5307	154	27	theory	theory	NOUN
cana-5307	154	28	suggests	suggest	VERB
cana-5307	154	29	a	a	DET
cana-5307	154	30	role	role	NOUN
cana-5307	154	31	for	for	ADP
cana-5307	154	32	alu	alu	NOUN
cana-5307	154	33	repeats	repeat	NOUN
cana-5307	154	34	in	in	ADP
cana-5307	154	35	the	the	DET
cana-5307	154	36	development	development	NOUN
cana-5307	154	37	of	of	ADP
cana-5307	154	38	atherosclerotic	atherosclerotic	ADJ
cana-5307	154	39	vascular	vascular	ADJ
cana-5307	154	40	disease	disease	NOUN
cana-5307	154	41	,	,	PUNCT
cana-5307	154	42	”	"	PUNCT
cana-5307	154	43	international	international	ADJ
cana-5307	154	44	journal	journal	NOUN
cana-5307	154	45	of	of	ADP
cana-5307	154	46	molecular	molecular	ADJ
cana-5307	154	47	sciences	science	NOUN
cana-5307	154	48	,	,	PUNCT
cana-5307	154	49	vol	vol	NOUN
cana-5307	154	50	.	.	PROPN
cana-5307	154	51	19	19	NUM
cana-5307	154	52	,	,	PUNCT
cana-5307	154	53	no	no	INTJ
cana-5307	154	54	.	.	NOUN
cana-5307	154	55	6	6	NUM
cana-5307	154	56	,	,	PUNCT
cana-5307	154	57	p.	p.	NOUN
cana-5307	154	58	1734	1734	NUM
cana-5307	154	59	,	,	PUNCT
cana-5307	154	60	jun	jun	PROPN
cana-5307	154	61	.	.	PROPN
cana-5307	154	62	2018	2018	NUM
cana-5307	154	63	,	,	PUNCT
cana-5307	154	64	doi	doi	NOUN
cana-5307	154	65	:	:	PUNCT
cana-5307	154	66	10.3390	10.3390	NUM
cana-5307	154	67	/	/	SYM
cana-5307	154	68	ijms19061734	ijms19061734	PROPN
cana-5307	154	69	.	.	PUNCT
cana-5307	155	1	[	[	X
cana-5307	155	2	15	15	NUM
cana-5307	155	3	]	]	X
cana-5307	155	4	n.	n.	NOUN
cana-5307	155	5	pakniyat	pakniyat	PROPN
cana-5307	155	6	,	,	PUNCT
cana-5307	155	7	j.	j.	PROPN
cana-5307	155	8	ramadoss	ramadoss	PROPN
cana-5307	155	9	,	,	PUNCT
cana-5307	155	10	a.	a.	PROPN
cana-5307	155	11	karthikeyan	karthikeyan	PROPN
cana-5307	155	12	,	,	PUNCT
cana-5307	155	13	p.	p.	PROPN
cana-5307	155	14	marek	marek	PROPN
cana-5307	155	15	,	,	PUNCT
cana-5307	155	16	o.	o.	NOUN
cana-5307	155	17	krejcar	krejcar	NOUN
cana-5307	155	18	,	,	PUNCT
cana-5307	155	19	and	and	CCONJ
cana-5307	155	20	h.	h.	PROPN
cana-5307	155	21	namazi	namazi	PROPN
cana-5307	155	22	,	,	PUNCT
cana-5307	155	23	“	"	PUNCT
cana-5307	155	24	complexity	complexity	NOUN
cana-5307	155	25	-	-	PUNCT
cana-5307	155	26	based	base	VERB
cana-5307	155	27	analysis	analysis	NOUN
cana-5307	155	28	of	of	ADP
cana-5307	155	29	the	the	DET
cana-5307	155	30	variations	variation	NOUN
cana-5307	155	31	in	in	ADP
cana-5307	155	32	the	the	DET
cana-5307	155	33	brain	brain	NOUN
cana-5307	155	34	response	response	NOUN
cana-5307	155	35	of	of	ADP
cana-5307	155	36	porn	porn	NOUN
cana-5307	155	37	-	-	PUNCT
cana-5307	155	38	addicted	addicted	ADJ
cana-5307	155	39	and	and	CCONJ
cana-5307	155	40	healthy	healthy	ADJ
cana-5307	155	41	individuals	individual	NOUN
cana-5307	155	42	under	under	ADP
cana-5307	155	43	different	different	ADJ
cana-5307	155	44	function	function	NOUN
cana-5307	155	45	tasks	task	NOUN
cana-5307	155	46	,	,	PUNCT
cana-5307	155	47	”	"	PUNCT
cana-5307	155	48	fractals	fractal	NOUN
cana-5307	155	49	,	,	PUNCT
cana-5307	155	50	vol	vol	NOUN
cana-5307	155	51	.	.	PROPN
cana-5307	155	52	32	32	NUM
cana-5307	155	53	,	,	PUNCT
cana-5307	155	54	no	no	INTJ
cana-5307	155	55	.	.	NOUN
cana-5307	155	56	05	05	NUM
cana-5307	155	57	,	,	PUNCT
cana-5307	155	58	jan	jan	PROPN
cana-5307	155	59	.	.	PROPN
cana-5307	155	60	2024	2024	NUM
cana-5307	155	61	,	,	PUNCT
cana-5307	155	62	doi	doi	NOUN
cana-5307	155	63	:	:	PUNCT
cana-5307	155	64	10.1142	10.1142	NUM
cana-5307	155	65	/	/	SYM
cana-5307	155	66	s0218348x24500907	s0218348x24500907	NOUN
cana-5307	155	67	.	.	PUNCT