id	sid	tid	token	lemma	pos
cana-5574	1	1	communications	communication	NOUN
cana-5574	1	2	on	on	ADP
cana-5574	1	3	applied	apply	VERB
cana-5574	1	4	nonlinear	nonlinear	ADJ
cana-5574	1	5	analysis	analysis	NOUN
cana-5574	1	6	issn	issn	NOUN
cana-5574	1	7	:	:	PUNCT
cana-5574	1	8	1074	1074	NUM
cana-5574	1	9	-	-	PUNCT
cana-5574	1	10	133x	133x	NUM
cana-5574	1	11	vol	vol	NOUN
cana-5574	1	12	28	28	NUM
cana-5574	1	13	no	no	NOUN
cana-5574	1	14	.	.	NOUN
cana-5574	1	15	4	4	NUM
cana-5574	1	16	(	(	PUNCT
cana-5574	1	17	2021	2021	NUM
cana-5574	1	18	)	)	PUNCT
cana-5574	1	19	105	105	NUM
cana-5574	1	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-5574	1	21	a	a	DET
cana-5574	1	22	dynamical	dynamical	ADJ
cana-5574	1	23	systems	system	NOUN
cana-5574	1	24	perspective	perspective	NOUN
cana-5574	1	25	on	on	ADP
cana-5574	1	26	echo	echo	PROPN
cana-5574	1	27	chamber	chamber	NOUN
cana-5574	1	28	polarization	polarization	NOUN
cana-5574	1	29	:	:	PUNCT
cana-5574	1	30	integrating	integrate	VERB
cana-5574	1	31	laplace	laplace	NOUN
cana-5574	1	32	and	and	CCONJ
cana-5574	1	33	runge	runge	NOUN
cana-5574	1	34	-	-	PUNCT
cana-5574	1	35	kutta	kutta	NOUN
cana-5574	1	36	methods	method	NOUN
cana-5574	1	37	suresh	suresh	PROPN
cana-5574	1	38	kumar	kumar	PROPN
cana-5574	1	39	sahani1	sahani1	PROPN
cana-5574	1	40	and	and	CCONJ
cana-5574	1	41	binod	binod	PROPN
cana-5574	1	42	kumar	kumar	PROPN
cana-5574	1	43	sah2	sah2	PROPN
cana-5574	1	44	1department	1department	NUM
cana-5574	1	45	of	of	ADP
cana-5574	1	46	mathematics	mathematic	NOUN
cana-5574	1	47	,	,	PUNCT
cana-5574	2	1	janakpur	janakpur	NOUN
cana-5574	2	2	campus	campus	NOUN
cana-5574	2	3	sureshsahani54@gmail.com	sureshsahani54@gmail.com	X
cana-5574	3	1	2department	2department	NUM
cana-5574	3	2	of	of	ADP
cana-5574	3	3	statistics	statistic	NOUN
cana-5574	3	4	,	,	PUNCT
cana-5574	3	5	r.r.m.c	r.r.m.c	PROPN
cana-5574	3	6	.	.	PROPN
cana-5574	3	7	,	,	PUNCT
cana-5574	3	8	t.u	t.u	PROPN
cana-5574	3	9	.	.	PROPN
cana-5574	3	10	,	,	PUNCT
cana-5574	3	11	nepal	nepal	ADJ
cana-5574	3	12	sah.binod01@gmail.com	sah.binod01@gmail.com	PROPN
cana-5574	3	13	article	article	NOUN
cana-5574	3	14	history	history	NOUN
cana-5574	3	15	:	:	PUNCT
cana-5574	3	16	received	receive	VERB
cana-5574	3	17	:	:	PUNCT
cana-5574	3	18	12	12	NUM
cana-5574	3	19	-	-	SYM
cana-5574	3	20	10	10	NUM
cana-5574	3	21	-	-	PUNCT
cana-5574	3	22	2021	2021	NUM
cana-5574	3	23	revised	revise	VERB
cana-5574	3	24	:	:	PUNCT
cana-5574	3	25	15	15	NUM
cana-5574	3	26	-	-	SYM
cana-5574	3	27	11	11	NUM
cana-5574	3	28	-	-	PUNCT
cana-5574	3	29	2021	2021	NUM
cana-5574	3	30	accepted	accept	VERB
cana-5574	3	31	:	:	PUNCT
cana-5574	3	32	01	01	NUM
cana-5574	3	33	-	-	SYM
cana-5574	3	34	12	12	NUM
cana-5574	3	35	-	-	PUNCT
cana-5574	3	36	2021	2021	NUM
cana-5574	3	37	abstract	abstract	NOUN
cana-5574	3	38	:	:	PUNCT
cana-5574	3	39	this	this	DET
cana-5574	3	40	research	research	NOUN
cana-5574	3	41	uses	use	VERB
cana-5574	3	42	ordinary	ordinary	ADJ
cana-5574	3	43	differential	differential	ADJ
cana-5574	3	44	equations	equation	NOUN
cana-5574	3	45	(	(	PUNCT
cana-5574	3	46	odes	ode	NOUN
cana-5574	3	47	)	)	PUNCT
cana-5574	3	48	to	to	PART
cana-5574	3	49	construct	construct	VERB
cana-5574	3	50	a	a	DET
cana-5574	3	51	mathematical	mathematical	ADJ
cana-5574	3	52	framework	framework	NOUN
cana-5574	3	53	to	to	PART
cana-5574	3	54	predict	predict	VERB
cana-5574	3	55	the	the	DET
cana-5574	3	56	spread	spread	NOUN
cana-5574	3	57	of	of	ADP
cana-5574	3	58	extreme	extreme	ADJ
cana-5574	3	59	beliefs	belief	NOUN
cana-5574	3	60	in	in	ADP
cana-5574	3	61	echo	echo	NOUN
cana-5574	3	62	chambers	chamber	NOUN
cana-5574	3	63	.	.	PUNCT
cana-5574	4	1	we	we	PRON
cana-5574	4	2	use	use	VERB
cana-5574	4	3	laplace	laplace	NOUN
cana-5574	4	4	transforms	transform	VERB
cana-5574	4	5	to	to	PART
cana-5574	4	6	assess	assess	VERB
cana-5574	4	7	equilibrium	equilibrium	NOUN
cana-5574	4	8	stability	stability	NOUN
cana-5574	4	9	and	and	CCONJ
cana-5574	4	10	the	the	DET
cana-5574	4	11	runge	runge	NOUN
cana-5574	4	12	-	-	PUNCT
cana-5574	4	13	kutta	kutta	NOUN
cana-5574	4	14	technique	technique	NOUN
cana-5574	4	15	to	to	ADP
cana-5574	4	16	numerically	numerically	ADV
cana-5574	4	17	model	model	NOUN
cana-5574	4	18	polarization	polarization	NOUN
cana-5574	4	19	dynamics	dynamic	NOUN
cana-5574	4	20	.	.	PUNCT
cana-5574	5	1	feedback	feedback	NOUN
cana-5574	5	2	loops	loop	NOUN
cana-5574	5	3	where	where	SCONJ
cana-5574	5	4	like	like	ADJ
cana-5574	5	5	-	-	PUNCT
cana-5574	5	6	minded	minded	ADJ
cana-5574	5	7	encounters	encounter	NOUN
cana-5574	5	8	intensify	intensify	VERB
cana-5574	5	9	ideological	ideological	ADJ
cana-5574	5	10	fanaticism	fanaticism	NOUN
cana-5574	5	11	are	be	AUX
cana-5574	5	12	captured	capture	VERB
cana-5574	5	13	by	by	ADP
cana-5574	5	14	our	our	PRON
cana-5574	5	15	model	model	NOUN
cana-5574	5	16	.	.	PUNCT
cana-5574	6	1	theoretical	theoretical	ADJ
cana-5574	6	2	and	and	CCONJ
cana-5574	6	3	computational	computational	ADJ
cana-5574	6	4	findings	finding	NOUN
cana-5574	6	5	provide	provide	VERB
cana-5574	6	6	insights	insight	NOUN
cana-5574	6	7	into	into	ADP
cana-5574	6	8	social	social	ADJ
cana-5574	6	9	media	medium	NOUN
cana-5574	6	10	moderation	moderation	NOUN
cana-5574	6	11	and	and	CCONJ
cana-5574	6	12	intervention	intervention	NOUN
cana-5574	6	13	tactics	tactic	NOUN
cana-5574	6	14	by	by	ADP
cana-5574	6	15	highlighting	highlight	VERB
cana-5574	6	16	crucial	crucial	ADJ
cana-5574	6	17	thresholds	threshold	NOUN
cana-5574	6	18	at	at	ADP
cana-5574	6	19	which	which	PRON
cana-5574	6	20	opinion	opinion	NOUN
cana-5574	6	21	changes	change	NOUN
cana-5574	6	22	become	become	VERB
cana-5574	6	23	permanent	permanent	ADJ
cana-5574	6	24	.	.	PUNCT
cana-5574	7	1	a	a	DET
cana-5574	7	2	mathematical	mathematical	ADJ
cana-5574	7	3	framework	framework	NOUN
cana-5574	7	4	for	for	ADP
cana-5574	7	5	simulating	simulate	VERB
cana-5574	7	6	the	the	DET
cana-5574	7	7	development	development	NOUN
cana-5574	7	8	of	of	ADP
cana-5574	7	9	belief	belief	NOUN
cana-5574	7	10	systems	system	NOUN
cana-5574	7	11	in	in	ADP
cana-5574	7	12	social	social	ADJ
cana-5574	7	13	networks	network	NOUN
cana-5574	7	14	is	be	AUX
cana-5574	7	15	presented	present	VERB
cana-5574	7	16	in	in	ADP
cana-5574	7	17	this	this	DET
cana-5574	7	18	research	research	NOUN
cana-5574	7	19	.	.	PUNCT
cana-5574	8	1	we	we	PRON
cana-5574	8	2	concentrate	concentrate	VERB
cana-5574	8	3	on	on	ADP
cana-5574	8	4	three	three	NUM
cana-5574	8	5	main	main	ADJ
cana-5574	8	6	mechanisms	mechanism	NOUN
cana-5574	8	7	:	:	PUNCT
cana-5574	8	8	the	the	DET
cana-5574	8	9	modeling	modeling	NOUN
cana-5574	8	10	of	of	ADP
cana-5574	8	11	echo	echo	NOUN
cana-5574	8	12	-	-	PUNCT
cana-5574	8	13	chamber	chamber	NOUN
cana-5574	8	14	effects	effect	NOUN
cana-5574	8	15	using	use	VERB
cana-5574	8	16	numerical	numerical	ADJ
cana-5574	8	17	runge	runge	NOUN
cana-5574	8	18	-	-	PUNCT
cana-5574	8	19	kutta	kutta	NOUN
cana-5574	8	20	techniques	technique	NOUN
cana-5574	8	21	,	,	PUNCT
cana-5574	8	22	equilibrium	equilibrium	NOUN
cana-5574	8	23	analysis	analysis	NOUN
cana-5574	8	24	using	use	VERB
cana-5574	8	25	laplace	laplace	NOUN
cana-5574	8	26	transforms	transform	VERB
cana-5574	8	27	to	to	PART
cana-5574	8	28	evaluate	evaluate	VERB
cana-5574	8	29	long	long	ADJ
cana-5574	8	30	-	-	PUNCT
cana-5574	8	31	term	term	NOUN
cana-5574	8	32	ideological	ideological	ADJ
cana-5574	8	33	stasis	stasis	NOUN
cana-5574	8	34	,	,	PUNCT
cana-5574	8	35	and	and	CCONJ
cana-5574	8	36	dramatic	dramatic	ADJ
cana-5574	8	37	belief	belief	NOUN
cana-5574	8	38	changes	change	NOUN
cana-5574	8	39	represented	represent	VERB
cana-5574	8	40	using	use	VERB
cana-5574	8	41	nonlinear	nonlinear	ADJ
cana-5574	8	42	ordinary	ordinary	ADJ
cana-5574	8	43	differential	differential	ADJ
cana-5574	8	44	equations	equation	NOUN
cana-5574	8	45	(	(	PUNCT
cana-5574	8	46	odes	ode	NOUN
cana-5574	8	47	)	)	PUNCT
cana-5574	8	48	.	.	PUNCT
cana-5574	9	1	combining	combine	VERB
cana-5574	9	2	these	these	DET
cana-5574	9	3	techniques	technique	NOUN
cana-5574	9	4	provides	provide	VERB
cana-5574	9	5	a	a	DET
cana-5574	9	6	strong	strong	ADJ
cana-5574	9	7	arsenal	arsenal	NOUN
cana-5574	9	8	for	for	ADP
cana-5574	9	9	examining	examine	VERB
cana-5574	9	10	the	the	DET
cana-5574	9	11	rise	rise	NOUN
cana-5574	9	12	of	of	ADP
cana-5574	9	13	extremism	extremism	NOUN
cana-5574	9	14	in	in	ADP
cana-5574	9	15	networked	networked	ADJ
cana-5574	9	16	communities	community	NOUN
cana-5574	9	17	,	,	PUNCT
cana-5574	9	18	ideological	ideological	ADJ
cana-5574	9	19	polarization	polarization	NOUN
cana-5574	9	20	,	,	PUNCT
cana-5574	9	21	and	and	CCONJ
cana-5574	9	22	belief	belief	NOUN
cana-5574	9	23	reinforcement	reinforcement	NOUN
cana-5574	9	24	.	.	PUNCT
cana-5574	10	1	keywords	keyword	NOUN
cana-5574	10	2	:	:	PUNCT
cana-5574	10	3	ordinary	ordinary	ADJ
cana-5574	10	4	differential	differential	ADJ
cana-5574	10	5	equation	equation	NOUN
cana-5574	10	6	,	,	PUNCT
cana-5574	10	7	social	social	ADJ
cana-5574	10	8	networks	network	NOUN
cana-5574	10	9	,	,	PUNCT
cana-5574	10	10	laplace	laplace	NOUN
cana-5574	10	11	transform	transform	NOUN
cana-5574	10	12	,	,	PUNCT
cana-5574	10	13	rungakutta	rungakutta	ADJ
cana-5574	10	14	differential	differential	NOUN
cana-5574	10	15	equation	equation	NOUN
cana-5574	10	16	.	.	PUNCT
cana-5574	11	1	introduction	introduction	NOUN
cana-5574	11	2	:	:	PUNCT
cana-5574	11	3	echo	echo	PROPN
cana-5574	11	4	chambers	chamber	NOUN
cana-5574	11	5	are	be	AUX
cana-5574	11	6	closed	closed	ADJ
cana-5574	11	7	networks	network	NOUN
cana-5574	11	8	in	in	ADP
cana-5574	11	9	which	which	PRON
cana-5574	11	10	people	people	NOUN
cana-5574	11	11	are	be	AUX
cana-5574	11	12	predominantly	predominantly	ADV
cana-5574	11	13	exposed	expose	VERB
cana-5574	11	14	to	to	ADP
cana-5574	11	15	viewpoints	viewpoint	NOUN
cana-5574	11	16	that	that	PRON
cana-5574	11	17	support	support	VERB
cana-5574	11	18	their	their	PRON
cana-5574	11	19	current	current	ADJ
cana-5574	11	20	beliefs	belief	NOUN
cana-5574	11	21	.	.	PUNCT
cana-5574	12	1	in	in	ADP
cana-5574	12	2	recent	recent	ADJ
cana-5574	12	3	years	year	NOUN
cana-5574	12	4	,	,	PUNCT
cana-5574	12	5	the	the	DET
cana-5574	12	6	advent	advent	NOUN
cana-5574	12	7	of	of	ADP
cana-5574	12	8	social	social	ADJ
cana-5574	12	9	media	medium	NOUN
cana-5574	12	10	and	and	CCONJ
cana-5574	12	11	algorithmically	algorithmically	ADV
cana-5574	12	12	driven	drive	VERB
cana-5574	12	13	content	content	NOUN
cana-5574	12	14	consumption	consumption	NOUN
cana-5574	12	15	has	have	AUX
cana-5574	12	16	contributed	contribute	VERB
cana-5574	12	17	to	to	ADP
cana-5574	12	18	the	the	DET
cana-5574	12	19	escalation	escalation	NOUN
cana-5574	12	20	of	of	ADP
cana-5574	12	21	the	the	DET
cana-5574	12	22	construction	construction	NOUN
cana-5574	12	23	of	of	ADP
cana-5574	12	24	echo	echo	NOUN
cana-5574	12	25	chambers	chamber	NOUN
cana-5574	12	26	.	.	PUNCT
cana-5574	13	1	because	because	SCONJ
cana-5574	13	2	of	of	ADP
cana-5574	13	3	these	these	DET
cana-5574	13	4	conditions	condition	NOUN
cana-5574	13	5	,	,	PUNCT
cana-5574	13	6	dramatic	dramatic	ADJ
cana-5574	13	7	belief	belief	NOUN
cana-5574	13	8	changes	change	NOUN
cana-5574	13	9	are	be	AUX
cana-5574	13	10	amplified	amplify	VERB
cana-5574	13	11	,	,	PUNCT
cana-5574	13	12	which	which	PRON
cana-5574	13	13	results	result	VERB
cana-5574	13	14	in	in	ADP
cana-5574	13	15	social	social	ADJ
cana-5574	13	16	polarization	polarization	NOUN
cana-5574	13	17	,	,	PUNCT
cana-5574	13	18	the	the	DET
cana-5574	13	19	growth	growth	NOUN
cana-5574	13	20	of	of	ADP
cana-5574	13	21	disinformation	disinformation	NOUN
cana-5574	13	22	,	,	PUNCT
cana-5574	13	23	and	and	CCONJ
cana-5574	13	24	a	a	DET
cana-5574	13	25	decreased	decrease	VERB
cana-5574	13	26	tolerance	tolerance	NOUN
cana-5574	13	27	for	for	ADP
cana-5574	13	28	ideas	idea	NOUN
cana-5574	13	29	that	that	PRON
cana-5574	13	30	are	be	AUX
cana-5574	13	31	contrary	contrary	ADJ
cana-5574	13	32	to	to	ADP
cana-5574	13	33	the	the	DET
cana-5574	13	34	majority	majority	NOUN
cana-5574	13	35	.	.	PUNCT
cana-5574	14	1	even	even	ADV
cana-5574	14	2	though	though	SCONJ
cana-5574	14	3	these	these	DET
cana-5574	14	4	phenomena	phenomenon	NOUN
cana-5574	14	5	have	have	AUX
cana-5574	14	6	been	be	AUX
cana-5574	14	7	recorded	record	VERB
cana-5574	14	8	via	via	ADP
cana-5574	14	9	empirical	empirical	ADJ
cana-5574	14	10	research	research	NOUN
cana-5574	14	11	in	in	ADP
cana-5574	14	12	sociology	sociology	NOUN
cana-5574	14	13	and	and	CCONJ
cana-5574	14	14	psychology	psychology	NOUN
cana-5574	14	15	,	,	PUNCT
cana-5574	14	16	there	there	PRON
cana-5574	14	17	is	be	VERB
cana-5574	14	18	still	still	ADV
cana-5574	14	19	a	a	DET
cana-5574	14	20	lack	lack	NOUN
cana-5574	14	21	of	of	ADP
cana-5574	14	22	a	a	DET
cana-5574	14	23	mathematical	mathematical	ADJ
cana-5574	14	24	framework	framework	NOUN
cana-5574	14	25	that	that	PRON
cana-5574	14	26	can	can	AUX
cana-5574	14	27	quantify	quantify	VERB
cana-5574	14	28	and	and	CCONJ
cana-5574	14	29	forecast	forecast	VERB
cana-5574	14	30	the	the	DET
cana-5574	14	31	dynamics	dynamic	NOUN
cana-5574	14	32	of	of	ADP
cana-5574	14	33	ideological	ideological	ADJ
cana-5574	14	34	extremism	extremism	NOUN
cana-5574	14	35	.	.	PUNCT
cana-5574	15	1	in	in	ADP
cana-5574	15	2	recent	recent	ADJ
cana-5574	15	3	years	year	NOUN
cana-5574	15	4	,	,	PUNCT
cana-5574	15	5	the	the	DET
cana-5574	15	6	phenomena	phenomenon	NOUN
cana-5574	15	7	of	of	ADP
cana-5574	15	8	echo	echo	NOUN
cana-5574	15	9	chambers	chamber	NOUN
cana-5574	15	10	,	,	PUNCT
cana-5574	15	11	which	which	PRON
cana-5574	15	12	occurs	occur	VERB
cana-5574	15	13	when	when	SCONJ
cana-5574	15	14	people	people	NOUN
cana-5574	15	15	are	be	AUX
cana-5574	15	16	primarily	primarily	ADV
cana-5574	15	17	exposed	expose	VERB
cana-5574	15	18	to	to	ADP
cana-5574	15	19	information	information	NOUN
cana-5574	15	20	that	that	PRON
cana-5574	15	21	supports	support	VERB
cana-5574	15	22	their	their	PRON
cana-5574	15	23	pre	pre	ADJ
cana-5574	15	24	-	-	ADJ
cana-5574	15	25	existing	existing	ADJ
cana-5574	15	26	opinions	opinion	NOUN
cana-5574	15	27	,	,	PUNCT
cana-5574	15	28	has	have	AUX
cana-5574	15	29	attracted	attract	VERB
cana-5574	15	30	a	a	DET
cana-5574	15	31	large	large	ADJ
cana-5574	15	32	amount	amount	NOUN
cana-5574	15	33	of	of	ADP
cana-5574	15	34	attention	attention	NOUN
cana-5574	15	35	owing	owe	VERB
cana-5574	15	36	to	to	ADP
cana-5574	15	37	the	the	DET
cana-5574	15	38	implications	implication	NOUN
cana-5574	15	39	it	it	PRON
cana-5574	15	40	has	have	VERB
cana-5574	15	41	for	for	ADP
cana-5574	15	42	political	political	ADJ
cana-5574	15	43	polarization	polarization	NOUN
cana-5574	15	44	,	,	PUNCT
cana-5574	15	45	disinformation	disinformation	NOUN
cana-5574	15	46	,	,	PUNCT
cana-5574	15	47	and	and	CCONJ
cana-5574	15	48	social	social	ADJ
cana-5574	15	49	cohesiveness	cohesiveness	NOUN
cana-5574	15	50	.	.	PUNCT
cana-5574	16	1	it	it	PRON
cana-5574	16	2	was	be	AUX
cana-5574	16	3	the	the	DET
cana-5574	16	4	early	early	ADJ
cana-5574	16	5	conceptualizations	conceptualization	NOUN
cana-5574	16	6	of	of	ADP
cana-5574	16	7	selective	selective	ADJ
cana-5574	16	8	exposure	exposure	NOUN
cana-5574	16	9	and	and	CCONJ
cana-5574	16	10	confirmation	confirmation	NOUN
cana-5574	16	11	bias	bias	NOUN
cana-5574	16	12	that	that	PRON
cana-5574	16	13	set	set	VERB
cana-5574	16	14	the	the	DET
cana-5574	16	15	framework	framework	NOUN
cana-5574	16	16	for	for	ADP
cana-5574	16	17	understanding	understand	VERB
cana-5574	16	18	how	how	SCONJ
cana-5574	16	19	echo	echo	NOUN
cana-5574	16	20	chambers	chamber	NOUN
cana-5574	16	21	operate	operate	VERB
cana-5574	16	22	.	.	PUNCT
cana-5574	17	1	cognitive	cognitive	ADJ
cana-5574	17	2	dissonance	dissonance	NOUN
cana-5574	17	3	theory	theory	NOUN
cana-5574	17	4	,	,	PUNCT
cana-5574	17	5	which	which	PRON
cana-5574	17	6	was	be	AUX
cana-5574	17	7	developed	develop	VERB
cana-5574	17	8	by	by	ADP
cana-5574	17	9	mailto:sureshsahani54@gmail.com	mailto:sureshsahani54@gmail.com	NOUN
cana-5574	17	10	communications	communication	NOUN
cana-5574	17	11	on	on	ADP
cana-5574	17	12	applied	apply	VERB
cana-5574	17	13	nonlinear	nonlinear	ADJ
cana-5574	17	14	analysis	analysis	NOUN
cana-5574	17	15	issn	issn	NOUN
cana-5574	17	16	:	:	PUNCT
cana-5574	17	17	1074	1074	NUM
cana-5574	17	18	-	-	PUNCT
cana-5574	17	19	133x	133x	NUM
cana-5574	17	20	vol	vol	NOUN
cana-5574	17	21	28	28	NUM
cana-5574	17	22	no	no	NOUN
cana-5574	17	23	.	.	NOUN
cana-5574	17	24	4	4	NUM
cana-5574	17	25	(	(	PUNCT
cana-5574	17	26	2021	2021	NUM
cana-5574	17	27	)	)	PUNCT
cana-5574	17	28	106	106	NUM
cana-5574	17	29	https://internationalpubls.com	https://internationalpubls.com	X
cana-5574	17	30	festinger	festinger	NOUN
cana-5574	17	31	in	in	ADP
cana-5574	17	32	1957	1957	NUM
cana-5574	17	33	,	,	PUNCT
cana-5574	17	34	places	place	VERB
cana-5574	17	35	an	an	DET
cana-5574	17	36	emphasis	emphasis	NOUN
cana-5574	17	37	on	on	ADP
cana-5574	17	38	the	the	DET
cana-5574	17	39	human	human	ADJ
cana-5574	17	40	inclination	inclination	NOUN
cana-5574	17	41	to	to	PART
cana-5574	17	42	seek	seek	VERB
cana-5574	17	43	harmonious	harmonious	ADJ
cana-5574	17	44	information	information	NOUN
cana-5574	17	45	while	while	SCONJ
cana-5574	17	46	avoiding	avoid	VERB
cana-5574	17	47	discordant	discordant	ADJ
cana-5574	17	48	viewpoints	viewpoint	NOUN
cana-5574	17	49	.	.	PUNCT
cana-5574	18	1	this	this	DET
cana-5574	18	2	concept	concept	NOUN
cana-5574	18	3	continues	continue	VERB
cana-5574	18	4	to	to	PART
cana-5574	18	5	be	be	AUX
cana-5574	18	6	an	an	DET
cana-5574	18	7	essential	essential	ADJ
cana-5574	18	8	component	component	NOUN
cana-5574	18	9	of	of	ADP
cana-5574	18	10	contemporary	contemporary	ADJ
cana-5574	18	11	digital	digital	ADJ
cana-5574	18	12	echo	echo	NOUN
cana-5574	18	13	chambers	chamber	NOUN
cana-5574	18	14	.	.	PUNCT
cana-5574	19	1	the	the	DET
cana-5574	19	2	structural	structural	ADJ
cana-5574	19	3	construction	construction	NOUN
cana-5574	19	4	of	of	ADP
cana-5574	19	5	echo	echo	NOUN
cana-5574	19	6	chambers	chamber	NOUN
cana-5574	19	7	has	have	AUX
cana-5574	19	8	been	be	AUX
cana-5574	19	9	the	the	DET
cana-5574	19	10	subject	subject	NOUN
cana-5574	19	11	of	of	ADP
cana-5574	19	12	much	much	ADJ
cana-5574	19	13	research	research	NOUN
cana-5574	19	14	in	in	ADP
cana-5574	19	15	recent	recent	ADJ
cana-5574	19	16	years	year	NOUN
cana-5574	19	17	,	,	PUNCT
cana-5574	19	18	thanks	thank	NOUN
cana-5574	19	19	to	to	ADP
cana-5574	19	20	the	the	DET
cana-5574	19	21	proliferation	proliferation	NOUN
cana-5574	19	22	of	of	ADP
cana-5574	19	23	social	social	ADJ
cana-5574	19	24	media	medium	NOUN
cana-5574	19	25	and	and	CCONJ
cana-5574	19	26	algorithmic	algorithmic	ADJ
cana-5574	19	27	filtering	filtering	NOUN
cana-5574	19	28	.	.	PUNCT
cana-5574	20	1	it	it	PRON
cana-5574	20	2	was	be	AUX
cana-5574	20	3	stated	state	VERB
cana-5574	20	4	by	by	ADP
cana-5574	20	5	sunstein	sunstein	PROPN
cana-5574	20	6	(	(	PUNCT
cana-5574	20	7	2001	2001	NUM
cana-5574	20	8	)	)	PUNCT
cana-5574	20	9	that	that	SCONJ
cana-5574	20	10	digital	digital	ADJ
cana-5574	20	11	infrastructures	infrastructure	NOUN
cana-5574	20	12	encourage	encourage	VERB
cana-5574	20	13	ideological	ideological	ADJ
cana-5574	20	14	division	division	NOUN
cana-5574	20	15	because	because	SCONJ
cana-5574	20	16	they	they	PRON
cana-5574	20	17	enable	enable	VERB
cana-5574	20	18	users	user	NOUN
cana-5574	20	19	to	to	ADP
cana-5574	20	20	self	self	NOUN
cana-5574	20	21	-	-	PUNCT
cana-5574	20	22	select	select	ADJ
cana-5574	20	23	material	material	NOUN
cana-5574	20	24	that	that	PRON
cana-5574	20	25	is	be	AUX
cana-5574	20	26	congruent	congruent	ADJ
cana-5574	20	27	with	with	ADP
cana-5574	20	28	their	their	PRON
cana-5574	20	29	worldview	worldview	NOUN
cana-5574	20	30	.	.	PUNCT
cana-5574	21	1	in	in	ADP
cana-5574	21	2	subsequent	subsequent	ADJ
cana-5574	21	3	empirical	empirical	ADJ
cana-5574	21	4	investigations	investigation	NOUN
cana-5574	21	5	,	,	PUNCT
cana-5574	21	6	barberá	barberá	NOUN
cana-5574	21	7	et	et	PROPN
cana-5574	21	8	al	al	PROPN
cana-5574	21	9	.	.	PROPN
cana-5574	22	1	(	(	PUNCT
cana-5574	22	2	2015	2015	NUM
cana-5574	22	3	)	)	PUNCT
cana-5574	22	4	shown	show	VERB
cana-5574	22	5	that	that	SCONJ
cana-5574	22	6	users	user	NOUN
cana-5574	22	7	on	on	ADP
cana-5574	22	8	platforms	platform	NOUN
cana-5574	22	9	such	such	ADJ
cana-5574	22	10	as	as	ADP
cana-5574	22	11	twitter	twitter	NOUN
cana-5574	22	12	prefer	prefer	VERB
cana-5574	22	13	to	to	PART
cana-5574	22	14	communicate	communicate	VERB
cana-5574	22	15	within	within	ADP
cana-5574	22	16	ideologically	ideologically	ADV
cana-5574	22	17	homogenous	homogenous	ADJ
cana-5574	22	18	networks	network	NOUN
cana-5574	22	19	.	.	PUNCT
cana-5574	23	1	this	this	DET
cana-5574	23	2	finding	finding	NOUN
cana-5574	23	3	was	be	AUX
cana-5574	23	4	validated	validate	VERB
cana-5574	23	5	by	by	ADP
cana-5574	23	6	the	the	DET
cana-5574	23	7	findings	finding	NOUN
cana-5574	23	8	of	of	ADP
cana-5574	23	9	more	more	ADV
cana-5574	23	10	recent	recent	ADJ
cana-5574	23	11	empirical	empirical	ADJ
cana-5574	23	12	studies	study	NOUN
cana-5574	23	13	.	.	PUNCT
cana-5574	24	1	a	a	DET
cana-5574	24	2	similar	similar	ADJ
cana-5574	24	3	finding	finding	NOUN
cana-5574	24	4	was	be	AUX
cana-5574	24	5	made	make	VERB
cana-5574	24	6	by	by	ADP
cana-5574	24	7	bakshy	bakshy	PROPN
cana-5574	24	8	et	et	PROPN
cana-5574	24	9	al	al	PROPN
cana-5574	24	10	.	.	PROPN
cana-5574	25	1	(	(	PUNCT
cana-5574	25	2	2015	2015	NUM
cana-5574	25	3	)	)	PUNCT
cana-5574	25	4	,	,	PUNCT
cana-5574	25	5	who	who	PRON
cana-5574	25	6	discovered	discover	VERB
cana-5574	25	7	that	that	SCONJ
cana-5574	25	8	the	the	DET
cana-5574	25	9	algorithm	algorithm	NOUN
cana-5574	25	10	used	use	VERB
cana-5574	25	11	by	by	ADP
cana-5574	25	12	facebook	facebook	PROPN
cana-5574	25	13	lowers	lower	VERB
cana-5574	25	14	exposure	exposure	NOUN
cana-5574	25	15	to	to	ADP
cana-5574	25	16	information	information	NOUN
cana-5574	25	17	that	that	PRON
cana-5574	25	18	is	be	AUX
cana-5574	25	19	ideologically	ideologically	ADV
cana-5574	25	20	diverse	diverse	ADJ
cana-5574	25	21	,	,	PUNCT
cana-5574	25	22	hence	hence	ADV
cana-5574	25	23	increasing	increase	VERB
cana-5574	25	24	the	the	DET
cana-5574	25	25	echo	echo	NOUN
cana-5574	25	26	chamber	chamber	NOUN
cana-5574	25	27	effect	effect	NOUN
cana-5574	25	28	.	.	PUNCT
cana-5574	26	1	during	during	ADP
cana-5574	26	2	this	this	DET
cana-5574	26	3	time	time	NOUN
cana-5574	26	4	,	,	PUNCT
cana-5574	26	5	mathematical	mathematical	ADJ
cana-5574	26	6	modeling	modeling	NOUN
cana-5574	26	7	of	of	ADP
cana-5574	26	8	opinion	opinion	NOUN
cana-5574	26	9	dynamics	dynamic	NOUN
cana-5574	26	10	has	have	AUX
cana-5574	26	11	been	be	AUX
cana-5574	26	12	developed	develop	VERB
cana-5574	26	13	,	,	PUNCT
cana-5574	26	14	with	with	ADP
cana-5574	26	15	the	the	DET
cana-5574	26	16	objective	objective	NOUN
cana-5574	26	17	of	of	ADP
cana-5574	26	18	quantitatively	quantitatively	ADV
cana-5574	26	19	capturing	capture	VERB
cana-5574	26	20	the	the	DET
cana-5574	26	21	process	process	NOUN
cana-5574	26	22	by	by	SCONJ
cana-5574	26	23	which	which	DET
cana-5574	26	24	opinions	opinion	NOUN
cana-5574	26	25	are	be	AUX
cana-5574	26	26	formed	form	VERB
cana-5574	26	27	and	and	CCONJ
cana-5574	26	28	develop	develop	VERB
cana-5574	26	29	within	within	ADP
cana-5574	26	30	social	social	ADJ
cana-5574	26	31	systems	system	NOUN
cana-5574	26	32	.	.	PUNCT
cana-5574	27	1	the	the	DET
cana-5574	27	2	degroot	degroot	PROPN
cana-5574	27	3	(	(	PUNCT
cana-5574	27	4	1974	1974	NUM
cana-5574	27	5	)	)	PUNCT
cana-5574	27	6	model	model	NOUN
cana-5574	27	7	,	,	PUNCT
cana-5574	27	8	which	which	PRON
cana-5574	27	9	is	be	AUX
cana-5574	27	10	considered	consider	VERB
cana-5574	27	11	to	to	PART
cana-5574	27	12	be	be	AUX
cana-5574	27	13	the	the	DET
cana-5574	27	14	fundamental	fundamental	ADJ
cana-5574	27	15	model	model	NOUN
cana-5574	27	16	,	,	PUNCT
cana-5574	27	17	as	as	ADV
cana-5574	27	18	well	well	ADV
cana-5574	27	19	as	as	ADP
cana-5574	27	20	the	the	DET
cana-5574	27	21	bounded	bounded	ADJ
cana-5574	27	22	confidence	confidence	NOUN
cana-5574	27	23	models	model	NOUN
cana-5574	27	24	that	that	PRON
cana-5574	27	25	were	be	AUX
cana-5574	27	26	proposed	propose	VERB
cana-5574	27	27	by	by	ADP
cana-5574	27	28	hegselmann	hegselmann	PROPN
cana-5574	27	29	and	and	CCONJ
cana-5574	27	30	krause	krause	PROPN
cana-5574	27	31	(	(	PUNCT
cana-5574	27	32	2002	2002	NUM
cana-5574	27	33	)	)	PUNCT
cana-5574	27	34	,	,	PUNCT
cana-5574	27	35	revealed	reveal	VERB
cana-5574	27	36	how	how	SCONJ
cana-5574	27	37	agents	agent	NOUN
cana-5574	27	38	alter	alter	VERB
cana-5574	27	39	their	their	PRON
cana-5574	27	40	views	view	NOUN
cana-5574	27	41	depending	depend	VERB
cana-5574	27	42	on	on	ADP
cana-5574	27	43	the	the	DET
cana-5574	27	44	opinions	opinion	NOUN
cana-5574	27	45	of	of	ADP
cana-5574	27	46	their	their	PRON
cana-5574	27	47	neighbors	neighbor	NOUN
cana-5574	27	48	.	.	PUNCT
cana-5574	28	1	when	when	SCONJ
cana-5574	28	2	it	it	PRON
cana-5574	28	3	comes	come	VERB
cana-5574	28	4	to	to	ADP
cana-5574	28	5	modeling	modeling	NOUN
cana-5574	28	6	belief	belief	NOUN
cana-5574	28	7	extremization	extremization	NOUN
cana-5574	28	8	,	,	PUNCT
cana-5574	28	9	however	however	ADV
cana-5574	28	10	,	,	PUNCT
cana-5574	28	11	these	these	DET
cana-5574	28	12	models	model	NOUN
cana-5574	28	13	often	often	ADV
cana-5574	28	14	fail	fail	VERB
cana-5574	28	15	to	to	PART
cana-5574	28	16	take	take	VERB
cana-5574	28	17	into	into	ADP
cana-5574	28	18	account	account	NOUN
cana-5574	28	19	nonlinear	nonlinear	ADJ
cana-5574	28	20	internal	internal	ADJ
cana-5574	28	21	reinforcement	reinforcement	NOUN
cana-5574	28	22	or	or	CCONJ
cana-5574	28	23	external	external	ADJ
cana-5574	28	24	stimuli	stimulus	NOUN
cana-5574	28	25	,	,	PUNCT
cana-5574	28	26	both	both	PRON
cana-5574	28	27	of	of	ADP
cana-5574	28	28	which	which	PRON
cana-5574	28	29	are	be	AUX
cana-5574	28	30	essential	essential	ADJ
cana-5574	28	31	components	component	NOUN
cana-5574	28	32	.	.	PUNCT
cana-5574	29	1	as	as	ADP
cana-5574	29	2	a	a	DET
cana-5574	29	3	reaction	reaction	NOUN
cana-5574	29	4	,	,	PUNCT
cana-5574	29	5	a	a	DET
cana-5574	29	6	number	number	NOUN
cana-5574	29	7	of	of	ADP
cana-5574	29	8	studies	study	NOUN
cana-5574	29	9	contributed	contribute	VERB
cana-5574	29	10	to	to	ADP
cana-5574	29	11	the	the	DET
cana-5574	29	12	development	development	NOUN
cana-5574	29	13	of	of	ADP
cana-5574	29	14	nonlinear	nonlinear	ADJ
cana-5574	29	15	and	and	CCONJ
cana-5574	29	16	differential	differential	ADJ
cana-5574	29	17	equation	equation	NOUN
cana-5574	29	18	-	-	PUNCT
cana-5574	29	19	based	base	VERB
cana-5574	29	20	methodologies	methodology	NOUN
cana-5574	29	21	.	.	PUNCT
cana-5574	30	1	through	through	ADP
cana-5574	30	2	the	the	DET
cana-5574	30	3	use	use	NOUN
cana-5574	30	4	of	of	ADP
cana-5574	30	5	differential	differential	ADJ
cana-5574	30	6	equations	equation	NOUN
cana-5574	30	7	,	,	PUNCT
cana-5574	30	8	lorenz	lorenz	PROPN
cana-5574	30	9	(	(	PUNCT
cana-5574	30	10	2007	2007	NUM
cana-5574	30	11	)	)	PUNCT
cana-5574	30	12	investigated	investigate	VERB
cana-5574	30	13	the	the	DET
cana-5574	30	14	dynamics	dynamic	NOUN
cana-5574	30	15	of	of	ADP
cana-5574	30	16	continuous	continuous	ADJ
cana-5574	30	17	opinions	opinion	NOUN
cana-5574	30	18	and	and	CCONJ
cana-5574	30	19	shown	show	VERB
cana-5574	30	20	that	that	SCONJ
cana-5574	30	21	nonlinear	nonlinear	ADJ
cana-5574	30	22	feedback	feedback	NOUN
cana-5574	30	23	processes	process	NOUN
cana-5574	30	24	may	may	AUX
cana-5574	30	25	result	result	VERB
cana-5574	30	26	in	in	ADP
cana-5574	30	27	clustering	clustering	NOUN
cana-5574	30	28	and	and	CCONJ
cana-5574	30	29	polarization	polarization	NOUN
cana-5574	30	30	.	.	PUNCT
cana-5574	31	1	more	more	ADV
cana-5574	31	2	recently	recently	ADV
cana-5574	31	3	,	,	PUNCT
cana-5574	31	4	sobkowicz	sobkowicz	X
cana-5574	31	5	(	(	PUNCT
cana-5574	31	6	2009	2009	NUM
cana-5574	31	7	)	)	PUNCT
cana-5574	31	8	produced	produce	VERB
cana-5574	31	9	agent	agent	NOUN
cana-5574	31	10	-	-	PUNCT
cana-5574	31	11	based	base	VERB
cana-5574	31	12	simulations	simulation	NOUN
cana-5574	31	13	that	that	PRON
cana-5574	31	14	included	include	VERB
cana-5574	31	15	emotional	emotional	ADJ
cana-5574	31	16	contagion	contagion	NOUN
cana-5574	31	17	and	and	CCONJ
cana-5574	31	18	radicalization	radicalization	NOUN
cana-5574	31	19	.	.	PUNCT
cana-5574	32	1	these	these	DET
cana-5574	32	2	simulations	simulation	NOUN
cana-5574	32	3	brought	bring	VERB
cana-5574	32	4	attention	attention	NOUN
cana-5574	32	5	to	to	ADP
cana-5574	32	6	the	the	DET
cana-5574	32	7	emerging	emerge	VERB
cana-5574	32	8	nature	nature	NOUN
cana-5574	32	9	of	of	ADP
cana-5574	32	10	extremism	extremism	NOUN
cana-5574	32	11	in	in	ADP
cana-5574	32	12	contexts	context	NOUN
cana-5574	32	13	that	that	PRON
cana-5574	32	14	are	be	AUX
cana-5574	32	15	walled	wall	VERB
cana-5574	32	16	off	off	ADP
cana-5574	32	17	.	.	PUNCT
cana-5574	33	1	in	in	ADP
cana-5574	33	2	spite	spite	NOUN
cana-5574	33	3	of	of	ADP
cana-5574	33	4	the	the	DET
cana-5574	33	5	fact	fact	NOUN
cana-5574	33	6	that	that	SCONJ
cana-5574	33	7	it	it	PRON
cana-5574	33	8	is	be	AUX
cana-5574	33	9	not	not	PART
cana-5574	33	10	very	very	ADV
cana-5574	33	11	widespread	widespread	ADJ
cana-5574	33	12	,	,	PUNCT
cana-5574	33	13	the	the	DET
cana-5574	33	14	incorporation	incorporation	NOUN
cana-5574	33	15	of	of	ADP
cana-5574	33	16	control	control	NOUN
cana-5574	33	17	theory	theory	NOUN
cana-5574	33	18	and	and	CCONJ
cana-5574	33	19	reliability	reliability	NOUN
cana-5574	33	20	mathematics	mathematic	NOUN
cana-5574	33	21	into	into	ADP
cana-5574	33	22	social	social	ADJ
cana-5574	33	23	modeling	modeling	NOUN
cana-5574	33	24	has	have	AUX
cana-5574	33	25	emerged	emerge	VERB
cana-5574	33	26	as	as	ADP
cana-5574	33	27	an	an	DET
cana-5574	33	28	effective	effective	ADJ
cana-5574	33	29	tool	tool	NOUN
cana-5574	33	30	for	for	ADP
cana-5574	33	31	understanding	understand	VERB
cana-5574	33	32	belief	belief	NOUN
cana-5574	33	33	stability	stability	NOUN
cana-5574	33	34	and	and	CCONJ
cana-5574	33	35	transitions	transition	NOUN
cana-5574	33	36	.	.	PUNCT
cana-5574	34	1	inside	inside	ADP
cana-5574	34	2	the	the	DET
cana-5574	34	3	field	field	NOUN
cana-5574	34	4	of	of	ADP
cana-5574	34	5	systems	system	NOUN
cana-5574	34	6	engineering	engineering	NOUN
cana-5574	34	7	,	,	PUNCT
cana-5574	34	8	the	the	DET
cana-5574	34	9	laplace	laplace	NOUN
cana-5574	34	10	transform	transform	NOUN
cana-5574	34	11	is	be	AUX
cana-5574	34	12	extensively	extensively	ADV
cana-5574	34	13	used	use	VERB
cana-5574	34	14	for	for	ADP
cana-5574	34	15	the	the	DET
cana-5574	34	16	purpose	purpose	NOUN
cana-5574	34	17	of	of	ADP
cana-5574	34	18	evaluating	evaluate	VERB
cana-5574	34	19	linear	linear	ADJ
cana-5574	34	20	time	time	NOUN
cana-5574	34	21	-	-	PUNCT
cana-5574	34	22	invariant	invariant	ADJ
cana-5574	34	23	systems	system	NOUN
cana-5574	34	24	(	(	PUNCT
cana-5574	34	25	ogata	ogata	PROPN
cana-5574	34	26	,	,	PUNCT
cana-5574	34	27	2010	2010	NUM
cana-5574	34	28	)	)	PUNCT
cana-5574	34	29	.	.	PUNCT
cana-5574	35	1	recently	recently	ADV
cana-5574	35	2	,	,	PUNCT
cana-5574	35	3	the	the	DET
cana-5574	35	4	laplace	laplace	NOUN
cana-5574	35	5	transform	transform	NOUN
cana-5574	35	6	has	have	AUX
cana-5574	35	7	been	be	AUX
cana-5574	35	8	utilized	utilize	VERB
cana-5574	35	9	to	to	PART
cana-5574	35	10	describe	describe	VERB
cana-5574	35	11	belief	belief	NOUN
cana-5574	35	12	propagation	propagation	NOUN
cana-5574	35	13	inside	inside	ADP
cana-5574	35	14	information	information	NOUN
cana-5574	35	15	networks	network	NOUN
cana-5574	35	16	(	(	PUNCT
cana-5574	35	17	zhao	zhao	PROPN
cana-5574	35	18	et	et	PROPN
cana-5574	35	19	al	al	PROPN
cana-5574	35	20	.	.	PROPN
cana-5574	35	21	,	,	PUNCT
cana-5574	35	22	2013	2013	NUM
cana-5574	35	23	)	)	PUNCT
cana-5574	35	24	.	.	PUNCT
cana-5574	36	1	in	in	ADP
cana-5574	36	2	the	the	DET
cana-5574	36	3	meanwhile	meanwhile	NOUN
cana-5574	36	4	,	,	PUNCT
cana-5574	36	5	the	the	DET
cana-5574	36	6	runge	runge	NOUN
cana-5574	36	7	-	-	PUNCT
cana-5574	36	8	kutta	kutta	NOUN
cana-5574	36	9	techniques	technique	NOUN
cana-5574	36	10	,	,	PUNCT
cana-5574	36	11	in	in	ADP
cana-5574	36	12	especially	especially	ADV
cana-5574	36	13	the	the	DET
cana-5574	36	14	fourth	fourth	ADJ
cana-5574	36	15	-	-	PUNCT
cana-5574	36	16	order	order	NOUN
cana-5574	36	17	approach	approach	NOUN
cana-5574	36	18	,	,	PUNCT
cana-5574	36	19	continue	continue	VERB
cana-5574	36	20	to	to	PART
cana-5574	36	21	be	be	AUX
cana-5574	36	22	considered	consider	VERB
cana-5574	36	23	the	the	DET
cana-5574	36	24	gold	gold	ADJ
cana-5574	36	25	standard	standard	NOUN
cana-5574	36	26	for	for	ADP
cana-5574	36	27	numerically	numerically	ADV
cana-5574	36	28	solving	solve	VERB
cana-5574	36	29	nonlinear	nonlinear	ADJ
cana-5574	36	30	differential	differential	ADJ
cana-5574	36	31	equations	equation	NOUN
cana-5574	36	32	(	(	PUNCT
cana-5574	36	33	butcher	butcher	NOUN
cana-5574	36	34	,	,	PUNCT
cana-5574	36	35	2003	2003	NUM
cana-5574	36	36	)	)	PUNCT
cana-5574	36	37	.	.	PUNCT
cana-5574	37	1	these	these	DET
cana-5574	37	2	methods	method	NOUN
cana-5574	37	3	give	give	VERB
cana-5574	37	4	accuracy	accuracy	NOUN
cana-5574	37	5	for	for	ADP
cana-5574	37	6	modeling	model	VERB
cana-5574	37	7	time	time	NOUN
cana-5574	37	8	-	-	PUNCT
cana-5574	37	9	varying	vary	VERB
cana-5574	37	10	cognitive	cognitive	ADJ
cana-5574	37	11	processes	process	NOUN
cana-5574	37	12	.	.	PUNCT
cana-5574	38	1	the	the	DET
cana-5574	38	2	number	number	NOUN
cana-5574	38	3	of	of	ADP
cana-5574	38	4	research	research	NOUN
cana-5574	38	5	that	that	PRON
cana-5574	38	6	have	have	AUX
cana-5574	38	7	combined	combine	VERB
cana-5574	38	8	analytical	analytical	ADJ
cana-5574	38	9	and	and	CCONJ
cana-5574	38	10	numerical	numerical	ADJ
cana-5574	38	11	techniques	technique	NOUN
cana-5574	38	12	to	to	PART
cana-5574	38	13	describe	describe	VERB
cana-5574	38	14	belief	belief	NOUN
cana-5574	38	15	dynamics	dynamic	NOUN
cana-5574	38	16	under	under	ADP
cana-5574	38	17	the	the	DET
cana-5574	38	18	unique	unique	ADJ
cana-5574	38	19	effect	effect	NOUN
cana-5574	38	20	of	of	ADP
cana-5574	38	21	echo	echo	NOUN
cana-5574	38	22	chambers	chamber	NOUN
cana-5574	38	23	is	be	AUX
cana-5574	38	24	quite	quite	ADV
cana-5574	38	25	low	low	ADJ
cana-5574	38	26	,	,	PUNCT
cana-5574	38	27	despite	despite	SCONJ
cana-5574	38	28	the	the	DET
cana-5574	38	29	fact	fact	NOUN
cana-5574	38	30	that	that	SCONJ
cana-5574	38	31	these	these	DET
cana-5574	38	32	breakthroughs	breakthrough	NOUN
cana-5574	38	33	have	have	AUX
cana-5574	38	34	been	be	AUX
cana-5574	38	35	made	make	VERB
cana-5574	38	36	.	.	PUNCT
cana-5574	39	1	laplace	laplace	NOUN
cana-5574	39	2	transforms	transform	VERB
cana-5574	39	3	,	,	PUNCT
cana-5574	39	4	which	which	PRON
cana-5574	39	5	provide	provide	VERB
cana-5574	39	6	analytical	analytical	ADJ
cana-5574	39	7	understanding	understanding	NOUN
cana-5574	39	8	,	,	PUNCT
cana-5574	39	9	and	and	CCONJ
cana-5574	39	10	runge	runge	NOUN
cana-5574	39	11	-	-	PUNCT
cana-5574	39	12	kutta	kutta	NOUN
cana-5574	39	13	procedures	procedure	NOUN
cana-5574	39	14	,	,	PUNCT
cana-5574	39	15	which	which	PRON
cana-5574	39	16	simulate	simulate	VERB
cana-5574	39	17	nonlinear	nonlinear	ADJ
cana-5574	39	18	,	,	PUNCT
cana-5574	39	19	real	real	ADJ
cana-5574	39	20	-	-	PUNCT
cana-5574	39	21	world	world	NOUN
cana-5574	39	22	belief	belief	NOUN
cana-5574	39	23	changes	change	NOUN
cana-5574	39	24	,	,	PUNCT
cana-5574	39	25	are	be	AUX
cana-5574	39	26	both	both	PRON
cana-5574	39	27	included	include	VERB
cana-5574	39	28	into	into	ADP
cana-5574	39	29	this	this	DET
cana-5574	39	30	study	study	NOUN
cana-5574	39	31	in	in	ADP
cana-5574	39	32	order	order	NOUN
cana-5574	39	33	to	to	PART
cana-5574	39	34	fill	fill	VERB
cana-5574	39	35	that	that	DET
cana-5574	39	36	gap	gap	NOUN
cana-5574	39	37	.	.	PUNCT
cana-5574	40	1	the	the	DET
cana-5574	40	2	hybrid	hybrid	ADJ
cana-5574	40	3	framework	framework	NOUN
cana-5574	40	4	that	that	PRON
cana-5574	40	5	has	have	AUX
cana-5574	40	6	been	be	AUX
cana-5574	40	7	developed	develop	VERB
cana-5574	40	8	offers	offer	VERB
cana-5574	40	9	a	a	DET
cana-5574	40	10	more	more	ADV
cana-5574	40	11	thorough	thorough	ADJ
cana-5574	40	12	understanding	understanding	NOUN
cana-5574	40	13	of	of	ADP
cana-5574	40	14	the	the	DET
cana-5574	40	15	processes	process	NOUN
cana-5574	40	16	that	that	PRON
cana-5574	40	17	lead	lead	VERB
cana-5574	40	18	to	to	ADP
cana-5574	40	19	belief	belief	NOUN
cana-5574	40	20	extremization	extremization	NOUN
cana-5574	40	21	as	as	ADV
cana-5574	40	22	well	well	ADV
cana-5574	40	23	as	as	ADP
cana-5574	40	24	the	the	DET
cana-5574	40	25	actions	action	NOUN
cana-5574	40	26	that	that	PRON
cana-5574	40	27	may	may	AUX
cana-5574	40	28	be	be	AUX
cana-5574	40	29	considered	consider	VERB
cana-5574	40	30	to	to	PART
cana-5574	40	31	combat	combat	VERB
cana-5574	40	32	it	it	PRON
cana-5574	40	33	.	.	PUNCT
cana-5574	41	1	communications	communication	NOUN
cana-5574	41	2	on	on	ADP
cana-5574	41	3	applied	apply	VERB
cana-5574	41	4	nonlinear	nonlinear	ADJ
cana-5574	41	5	analysis	analysis	NOUN
cana-5574	41	6	issn	issn	NOUN
cana-5574	41	7	:	:	PUNCT
cana-5574	41	8	1074	1074	NUM
cana-5574	41	9	-	-	PUNCT
cana-5574	41	10	133x	133x	NUM
cana-5574	41	11	vol	vol	NOUN
cana-5574	41	12	28	28	NUM
cana-5574	41	13	no	no	NOUN
cana-5574	41	14	.	.	NOUN
cana-5574	41	15	4	4	NUM
cana-5574	41	16	(	(	PUNCT
cana-5574	41	17	2021	2021	NUM
cana-5574	41	18	)	)	PUNCT
cana-5574	41	19	107	107	NUM
cana-5574	41	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-5574	41	21	the	the	DET
cana-5574	41	22	hegselmann	hegselmann	PROPN
cana-5574	41	23	-	-	PUNCT
cana-5574	41	24	krause	krause	PROPN
cana-5574	41	25	bounded	bound	VERB
cana-5574	41	26	confidence	confidence	NOUN
cana-5574	41	27	model	model	NOUN
cana-5574	41	28	and	and	CCONJ
cana-5574	41	29	the	the	DET
cana-5574	41	30	friedkin	friedkin	PROPN
cana-5574	41	31	-	-	PUNCT
cana-5574	41	32	johnsen	johnsen	PROPN
cana-5574	41	33	social	social	ADJ
cana-5574	41	34	influence	influence	NOUN
cana-5574	41	35	theory	theory	NOUN
cana-5574	41	36	are	be	AUX
cana-5574	41	37	two	two	NUM
cana-5574	41	38	examples	example	NOUN
cana-5574	41	39	of	of	ADP
cana-5574	41	40	traditional	traditional	ADJ
cana-5574	41	41	models	model	NOUN
cana-5574	41	42	of	of	ADP
cana-5574	41	43	opinion	opinion	NOUN
cana-5574	41	44	dynamics	dynamic	NOUN
cana-5574	41	45	.	.	PUNCT
cana-5574	42	1	these	these	DET
cana-5574	42	2	models	model	NOUN
cana-5574	42	3	depend	depend	VERB
cana-5574	42	4	on	on	ADP
cana-5574	42	5	linear	linear	NOUN
cana-5574	42	6	or	or	CCONJ
cana-5574	42	7	piecewise	piecewise	NOUN
cana-5574	42	8	interactions	interaction	NOUN
cana-5574	42	9	to	to	PART
cana-5574	42	10	explain	explain	VERB
cana-5574	42	11	the	the	DET
cana-5574	42	12	dynamics	dynamic	NOUN
cana-5574	42	13	of	of	ADP
cana-5574	42	14	opinion	opinion	NOUN
cana-5574	42	15	.	.	PUNCT
cana-5574	43	1	however	however	ADV
cana-5574	43	2	,	,	PUNCT
cana-5574	43	3	echo	echo	NOUN
cana-5574	43	4	chambers	chamber	NOUN
cana-5574	43	5	in	in	ADP
cana-5574	43	6	the	the	DET
cana-5574	43	7	real	real	ADJ
cana-5574	43	8	world	world	NOUN
cana-5574	43	9	display	display	NOUN
cana-5574	43	10	nonlinear	nonlinear	ADJ
cana-5574	43	11	reinforcement	reinforcement	NOUN
cana-5574	43	12	effects	effect	NOUN
cana-5574	43	13	,	,	PUNCT
cana-5574	43	14	which	which	PRON
cana-5574	43	15	means	mean	VERB
cana-5574	43	16	that	that	SCONJ
cana-5574	43	17	frequent	frequent	ADJ
cana-5574	43	18	exposure	exposure	NOUN
cana-5574	43	19	to	to	ADP
cana-5574	43	20	information	information	NOUN
cana-5574	43	21	that	that	PRON
cana-5574	43	22	is	be	AUX
cana-5574	43	23	considered	consider	VERB
cana-5574	43	24	extreme	extreme	ADJ
cana-5574	43	25	accelerates	accelerate	VERB
cana-5574	43	26	the	the	DET
cana-5574	43	27	process	process	NOUN
cana-5574	43	28	of	of	ADP
cana-5574	43	29	radicalization	radicalization	NOUN
cana-5574	43	30	.	.	PUNCT
cana-5574	44	1	in	in	ADP
cana-5574	44	2	order	order	NOUN
cana-5574	44	3	to	to	PART
cana-5574	44	4	reflect	reflect	VERB
cana-5574	44	5	this	this	DET
cana-5574	44	6	complexity	complexity	NOUN
cana-5574	44	7	,	,	PUNCT
cana-5574	44	8	we	we	PRON
cana-5574	44	9	offer	offer	VERB
cana-5574	44	10	a	a	DET
cana-5574	44	11	coupled	couple	VERB
cana-5574	44	12	nonlinear	nonlinear	ADJ
cana-5574	44	13	ode	ode	PROPN
cana-5574	44	14	model	model	NOUN
cana-5574	44	15	that	that	PRON
cana-5574	44	16	takes	take	VERB
cana-5574	44	17	into	into	ADP
cana-5574	44	18	consideration	consideration	NOUN
cana-5574	44	19	self	self	NOUN
cana-5574	44	20	-	-	PUNCT
cana-5574	44	21	reinforcement	reinforcement	NOUN
cana-5574	44	22	,	,	PUNCT
cana-5574	44	23	resistance	resistance	NOUN
cana-5574	44	24	to	to	ADP
cana-5574	44	25	competing	compete	VERB
cana-5574	44	26	viewpoints	viewpoint	NOUN
cana-5574	44	27	,	,	PUNCT
cana-5574	44	28	and	and	CCONJ
cana-5574	44	29	the	the	DET
cana-5574	44	30	effect	effect	NOUN
cana-5574	44	31	of	of	ADP
cana-5574	44	32	groups	group	NOUN
cana-5574	44	33	.	.	PUNCT
cana-5574	45	1	recent	recent	ADJ
cana-5574	45	2	years	year	NOUN
cana-5574	45	3	have	have	AUX
cana-5574	45	4	seen	see	VERB
cana-5574	45	5	a	a	DET
cana-5574	45	6	significant	significant	ADJ
cana-5574	45	7	increase	increase	NOUN
cana-5574	45	8	in	in	ADP
cana-5574	45	9	the	the	DET
cana-5574	45	10	amount	amount	NOUN
cana-5574	45	11	of	of	ADP
cana-5574	45	12	attention	attention	NOUN
cana-5574	45	13	paid	pay	VERB
cana-5574	45	14	to	to	PART
cana-5574	45	15	polarization	polarization	VERB
cana-5574	45	16	as	as	ADV
cana-5574	45	17	well	well	ADV
cana-5574	45	18	as	as	ADP
cana-5574	45	19	the	the	DET
cana-5574	45	20	rise	rise	NOUN
cana-5574	45	21	of	of	ADP
cana-5574	45	22	radical	radical	ADJ
cana-5574	45	23	ideologies	ideology	NOUN
cana-5574	45	24	inside	inside	ADP
cana-5574	45	25	social	social	ADJ
cana-5574	45	26	systems	system	NOUN
cana-5574	45	27	.	.	PUNCT
cana-5574	46	1	studies	study	NOUN
cana-5574	46	2	conducted	conduct	VERB
cana-5574	46	3	empirically	empirically	ADV
cana-5574	46	4	across	across	ADP
cana-5574	46	5	several	several	ADJ
cana-5574	46	6	social	social	ADJ
cana-5574	46	7	media	medium	NOUN
cana-5574	46	8	platforms	platform	NOUN
cana-5574	46	9	,	,	PUNCT
cana-5574	46	10	such	such	ADJ
cana-5574	46	11	as	as	ADP
cana-5574	46	12	twitter	twitter	NOUN
cana-5574	46	13	,	,	PUNCT
cana-5574	46	14	have	have	AUX
cana-5574	46	15	shown	show	VERB
cana-5574	46	16	unique	unique	ADJ
cana-5574	46	17	phase	phase	NOUN
cana-5574	46	18	transitions	transition	NOUN
cana-5574	46	19	:	:	PUNCT
cana-5574	46	20	there	there	PRON
cana-5574	46	21	is	be	VERB
cana-5574	46	22	a	a	DET
cana-5574	46	23	steady	steady	ADJ
cana-5574	46	24	transition	transition	NOUN
cana-5574	46	25	from	from	ADP
cana-5574	46	26	moderate	moderate	ADJ
cana-5574	46	27	consensus	consensus	NOUN
cana-5574	46	28	to	to	ADP
cana-5574	46	29	radicalized	radicalize	VERB
cana-5574	46	30	clusters	cluster	NOUN
cana-5574	46	31	,	,	PUNCT
cana-5574	46	32	which	which	PRON
cana-5574	46	33	is	be	AUX
cana-5574	46	34	caused	cause	VERB
cana-5574	46	35	by	by	ADP
cana-5574	46	36	encounters	encounter	NOUN
cana-5574	46	37	that	that	PRON
cana-5574	46	38	reinforce	reinforce	VERB
cana-5574	46	39	one	one	NUM
cana-5574	46	40	another	another	PRON
cana-5574	46	41	and	and	CCONJ
cana-5574	46	42	ideological	ideological	ADJ
cana-5574	46	43	entrenchment	entrenchment	NOUN
cana-5574	46	44	.	.	PUNCT
cana-5574	47	1	it	it	PRON
cana-5574	47	2	is	be	AUX
cana-5574	47	3	necessary	necessary	ADJ
cana-5574	47	4	to	to	PART
cana-5574	47	5	have	have	VERB
cana-5574	47	6	a	a	DET
cana-5574	47	7	modeling	modeling	NOUN
cana-5574	47	8	framework	framework	NOUN
cana-5574	47	9	that	that	PRON
cana-5574	47	10	is	be	AUX
cana-5574	47	11	capable	capable	ADJ
cana-5574	47	12	of	of	ADP
cana-5574	47	13	capturing	capture	VERB
cana-5574	47	14	abrupt	abrupt	ADJ
cana-5574	47	15	ideological	ideological	ADJ
cana-5574	47	16	changes	change	NOUN
cana-5574	47	17	,	,	PUNCT
cana-5574	47	18	the	the	DET
cana-5574	47	19	stability	stability	NOUN
cana-5574	47	20	of	of	ADP
cana-5574	47	21	belief	belief	NOUN
cana-5574	47	22	systems	system	NOUN
cana-5574	47	23	,	,	PUNCT
cana-5574	47	24	and	and	CCONJ
cana-5574	47	25	the	the	DET
cana-5574	47	26	network	network	NOUN
cana-5574	47	27	dynamics	dynamic	NOUN
cana-5574	47	28	that	that	PRON
cana-5574	47	29	are	be	AUX
cana-5574	47	30	responsible	responsible	ADJ
cana-5574	47	31	for	for	ADP
cana-5574	47	32	echo	echo	NOUN
cana-5574	47	33	chambers	chamber	NOUN
cana-5574	47	34	in	in	ADP
cana-5574	47	35	order	order	NOUN
cana-5574	47	36	to	to	PART
cana-5574	47	37	address	address	VERB
cana-5574	47	38	these	these	DET
cana-5574	47	39	phenomena	phenomenon	NOUN
cana-5574	47	40	.	.	PUNCT
cana-5574	48	1	the	the	DET
cana-5574	48	2	following	follow	VERB
cana-5574	48	3	three	three	NUM
cana-5574	48	4	mathematical	mathematical	ADJ
cana-5574	48	5	tools	tool	NOUN
cana-5574	48	6	are	be	AUX
cana-5574	48	7	included	include	VERB
cana-5574	48	8	into	into	ADP
cana-5574	48	9	our	our	PRON
cana-5574	48	10	proposed	propose	VERB
cana-5574	48	11	unified	unified	ADJ
cana-5574	48	12	methodology	methodology	NOUN
cana-5574	48	13	:	:	PUNCT
cana-5574	48	14	1	1	X
cana-5574	48	15	.	.	X
cana-5574	48	16	ode	ode	ADJ
cana-5574	48	17	models	model	NOUN
cana-5574	48	18	that	that	PRON
cana-5574	48	19	are	be	AUX
cana-5574	48	20	nonlinear	nonlinear	ADJ
cana-5574	48	21	—	—	PUNCT
cana-5574	48	22	we	we	PRON
cana-5574	48	23	develop	develop	VERB
cana-5574	48	24	systems	system	NOUN
cana-5574	48	25	of	of	ADP
cana-5574	48	26	ordinary	ordinary	ADJ
cana-5574	48	27	differential	differential	ADJ
cana-5574	48	28	equations	equation	NOUN
cana-5574	48	29	(	(	PUNCT
cana-5574	48	30	odes	ode	NOUN
cana-5574	48	31	)	)	PUNCT
cana-5574	48	32	that	that	PRON
cana-5574	48	33	include	include	VERB
cana-5574	48	34	homophily	homophily	ADV
cana-5574	48	35	,	,	PUNCT
cana-5574	48	36	influence	influence	NOUN
cana-5574	48	37	strength	strength	NOUN
cana-5574	48	38	,	,	PUNCT
cana-5574	48	39	and	and	CCONJ
cana-5574	48	40	extremism	extremism	NOUN
cana-5574	48	41	thresholds	threshold	NOUN
cana-5574	48	42	.	.	PUNCT
cana-5574	49	1	these	these	DET
cana-5574	49	2	systems	system	NOUN
cana-5574	49	3	are	be	AUX
cana-5574	49	4	built	build	VERB
cana-5574	49	5	on	on	ADP
cana-5574	49	6	limited	limited	ADJ
cana-5574	49	7	confidence	confidence	NOUN
cana-5574	49	8	and	and	CCONJ
cana-5574	49	9	radicalization	radicalization	NOUN
cana-5574	49	10	frameworks	framework	NOUN
cana-5574	49	11	(	(	PUNCT
cana-5574	49	12	for	for	ADP
cana-5574	49	13	example	example	NOUN
cana-5574	49	14	,	,	PUNCT
cana-5574	49	15	deffuant	deffuant	ADJ
cana-5574	49	16	et	et	PROPN
cana-5574	49	17	al	al	PROPN
cana-5574	49	18	.	.	PROPN
cana-5574	49	19	2004	2004	NUM
cana-5574	49	20	;	;	PUNCT
cana-5574	49	21	baumann	baumann	PROPN
cana-5574	49	22	et	et	PROPN
cana-5574	49	23	al	al	PROPN
cana-5574	49	24	.	.	PROPN
cana-5574	49	25	2019	2019	NUM
cana-5574	49	26	)	)	PUNCT
cana-5574	49	27	.	.	PUNCT
cana-5574	50	1	both	both	DET
cana-5574	50	2	belief	belief	NOUN
cana-5574	50	3	cascades	cascade	NOUN
cana-5574	50	4	and	and	CCONJ
cana-5574	50	5	the	the	DET
cana-5574	50	6	formation	formation	NOUN
cana-5574	50	7	of	of	ADP
cana-5574	50	8	extremist	extremist	ADJ
cana-5574	50	9	groups	group	NOUN
cana-5574	50	10	are	be	AUX
cana-5574	50	11	examples	example	NOUN
cana-5574	50	12	of	of	ADP
cana-5574	50	13	phenomena	phenomenon	NOUN
cana-5574	50	14	that	that	PRON
cana-5574	50	15	are	be	AUX
cana-5574	50	16	reproduced	reproduce	VERB
cana-5574	50	17	by	by	ADP
cana-5574	50	18	these	these	DET
cana-5574	50	19	models	model	NOUN
cana-5574	50	20	.	.	PUNCT
cana-5574	51	1	2	2	X
cana-5574	51	2	.	.	X
cana-5574	51	3	laplace	laplace	NOUN
cana-5574	51	4	transform	transform	NOUN
cana-5574	51	5	approaches	approach	NOUN
cana-5574	51	6	—	—	PUNCT
cana-5574	51	7	laplace	laplace	NOUN
cana-5574	51	8	transforms	transform	VERB
cana-5574	51	9	enable	enable	VERB
cana-5574	51	10	the	the	DET
cana-5574	51	11	translation	translation	NOUN
cana-5574	51	12	of	of	ADP
cana-5574	51	13	linearized	linearize	VERB
cana-5574	51	14	ode	ode	ADJ
cana-5574	51	15	systems	system	NOUN
cana-5574	51	16	into	into	ADP
cana-5574	51	17	the	the	DET
cana-5574	51	18	complex	complex	ADJ
cana-5574	51	19	frequency	frequency	NOUN
cana-5574	51	20	domain	domain	NOUN
cana-5574	51	21	,	,	PUNCT
cana-5574	51	22	which	which	PRON
cana-5574	51	23	simplifies	simplify	VERB
cana-5574	51	24	the	the	DET
cana-5574	51	25	discovery	discovery	NOUN
cana-5574	51	26	of	of	ADP
cana-5574	51	27	equilibrium	equilibrium	NOUN
cana-5574	51	28	stability	stability	NOUN
cana-5574	51	29	and	and	CCONJ
cana-5574	51	30	bifurcation	bifurcation	NOUN
cana-5574	51	31	points	point	NOUN
cana-5574	51	32	.	.	PUNCT
cana-5574	52	1	laplace	laplace	NOUN
cana-5574	52	2	transforms	transform	NOUN
cana-5574	52	3	are	be	AUX
cana-5574	52	4	used	use	VERB
cana-5574	52	5	for	for	ADP
cana-5574	52	6	the	the	DET
cana-5574	52	7	purpose	purpose	NOUN
cana-5574	52	8	of	of	ADP
cana-5574	52	9	studying	study	VERB
cana-5574	52	10	system	system	NOUN
cana-5574	52	11	equilibrium	equilibrium	NOUN
cana-5574	52	12	.	.	PUNCT
cana-5574	53	1	when	when	SCONJ
cana-5574	53	2	it	it	PRON
cana-5574	53	3	comes	come	VERB
cana-5574	53	4	to	to	ADP
cana-5574	53	5	control	control	NOUN
cana-5574	53	6	theory	theory	NOUN
cana-5574	53	7	and	and	CCONJ
cana-5574	53	8	economic	economic	ADJ
cana-5574	53	9	modeling	modeling	NOUN
cana-5574	53	10	,	,	PUNCT
cana-5574	53	11	these	these	DET
cana-5574	53	12	strategies	strategy	NOUN
cana-5574	53	13	have	have	VERB
cana-5574	53	14	a	a	DET
cana-5574	53	15	long	long	ADJ
cana-5574	53	16	history	history	NOUN
cana-5574	53	17	of	of	ADP
cana-5574	53	18	success	success	NOUN
cana-5574	53	19	.	.	PUNCT
cana-5574	54	1	3	3	X
cana-5574	54	2	.	.	X
cana-5574	54	3	in	in	ADP
cana-5574	54	4	the	the	DET
cana-5574	54	5	realm	realm	NOUN
cana-5574	54	6	of	of	ADP
cana-5574	54	7	numerical	numerical	ADJ
cana-5574	54	8	simulations	simulation	NOUN
cana-5574	54	9	:	:	PUNCT
cana-5574	54	10	the	the	DET
cana-5574	54	11	runge	runge	NOUN
cana-5574	54	12	–	–	PUNCT
cana-5574	54	13	kutta	kutta	NOUN
cana-5574	54	14	(	(	PUNCT
cana-5574	54	15	rk4	rk4	NOUN
cana-5574	54	16	)	)	PUNCT
cana-5574	54	17	technique	technique	NOUN
cana-5574	54	18	,	,	PUNCT
cana-5574	54	19	which	which	PRON
cana-5574	54	20	is	be	AUX
cana-5574	54	21	of	of	ADP
cana-5574	54	22	the	the	DET
cana-5574	54	23	fourth	fourth	ADJ
cana-5574	54	24	order	order	NOUN
cana-5574	54	25	,	,	PUNCT
cana-5574	54	26	provides	provide	VERB
cana-5574	54	27	a	a	DET
cana-5574	54	28	reliable	reliable	ADJ
cana-5574	54	29	methodology	methodology	NOUN
cana-5574	54	30	for	for	ADP
cana-5574	54	31	simulating	simulate	VERB
cana-5574	54	32	social	social	ADJ
cana-5574	54	33	networks	network	NOUN
cana-5574	54	34	that	that	PRON
cana-5574	54	35	are	be	AUX
cana-5574	54	36	both	both	CCONJ
cana-5574	54	37	large	large	ADJ
cana-5574	54	38	-	-	PUNCT
cana-5574	54	39	scale	scale	NOUN
cana-5574	54	40	and	and	CCONJ
cana-5574	54	41	realistic	realistic	ADJ
cana-5574	54	42	.	.	PUNCT
cana-5574	55	1	it	it	PRON
cana-5574	55	2	enables	enable	VERB
cana-5574	55	3	for	for	ADP
cana-5574	55	4	the	the	DET
cana-5574	55	5	assessment	assessment	NOUN
cana-5574	55	6	of	of	ADP
cana-5574	55	7	parameter	parameter	NOUN
cana-5574	55	8	sensitivity	sensitivity	NOUN
cana-5574	55	9	to	to	ADP
cana-5574	55	10	interventions	intervention	NOUN
cana-5574	55	11	,	,	PUNCT
cana-5574	55	12	exposes	expose	VERB
cana-5574	55	13	the	the	DET
cana-5574	55	14	construction	construction	NOUN
cana-5574	55	15	of	of	ADP
cana-5574	55	16	echo	echo	NOUN
cana-5574	55	17	chambers	chamber	NOUN
cana-5574	55	18	in	in	ADP
cana-5574	55	19	modular	modular	ADJ
cana-5574	55	20	graphs	graph	NOUN
cana-5574	55	21	,	,	PUNCT
cana-5574	55	22	and	and	CCONJ
cana-5574	55	23	captures	capture	VERB
cana-5574	55	24	transient	transient	ADJ
cana-5574	55	25	dynamics	dynamic	NOUN
cana-5574	55	26	.	.	PUNCT
cana-5574	56	1	by	by	ADP
cana-5574	56	2	marrying	marry	VERB
cana-5574	56	3	these	these	DET
cana-5574	56	4	methods	method	NOUN
cana-5574	56	5	,	,	PUNCT
cana-5574	56	6	our	our	PRON
cana-5574	56	7	approach	approach	NOUN
cana-5574	56	8	aims	aim	VERB
cana-5574	56	9	to	to	PART
cana-5574	56	10	:	:	PUNCT
cana-5574	56	11	1	1	X
cana-5574	56	12	.	.	PUNCT
cana-5574	56	13	theoretically	theoretically	ADV
cana-5574	56	14	predict	predict	VERB
cana-5574	56	15	when	when	SCONJ
cana-5574	56	16	and	and	CCONJ
cana-5574	56	17	how	how	SCONJ
cana-5574	56	18	extremist	extremist	ADJ
cana-5574	56	19	equilibria	equilibrium	NOUN
cana-5574	56	20	emerge	emerge	VERB
cana-5574	56	21	(	(	PUNCT
cana-5574	56	22	via	via	ADP
cana-5574	56	23	laplace	laplace	NOUN
cana-5574	56	24	analysis	analysis	NOUN
cana-5574	56	25	)	)	PUNCT
cana-5574	56	26	,	,	PUNCT
cana-5574	56	27	2	2	X
cana-5574	56	28	.	.	X
cana-5574	56	29	simulate	simulate	VERB
cana-5574	56	30	belief	belief	NOUN
cana-5574	56	31	evolution	evolution	NOUN
cana-5574	56	32	and	and	CCONJ
cana-5574	56	33	observe	observe	VERB
cana-5574	56	34	real	real	ADJ
cana-5574	56	35	-	-	PUNCT
cana-5574	56	36	world	world	NOUN
cana-5574	56	37	phenomena	phenomenon	NOUN
cana-5574	56	38	like	like	ADP
cana-5574	56	39	echo	echo	NOUN
cana-5574	56	40	chambers	chamber	NOUN
cana-5574	56	41	and	and	CCONJ
cana-5574	56	42	spiral	spiral	ADJ
cana-5574	56	43	-	-	PUNCT
cana-5574	56	44	ofsilence	ofsilence	NOUN
cana-5574	56	45	,	,	PUNCT
cana-5574	56	46	3	3	X
cana-5574	56	47	.	.	X
cana-5574	56	48	provide	provide	VERB
cana-5574	56	49	insights	insight	NOUN
cana-5574	56	50	into	into	ADP
cana-5574	56	51	how	how	SCONJ
cana-5574	56	52	interventions	intervention	NOUN
cana-5574	56	53	(	(	PUNCT
cana-5574	56	54	e.g.	e.g.	ADV
cana-5574	56	55	,	,	PUNCT
cana-5574	56	56	random	random	ADJ
cana-5574	56	57	nudges	nudge	NOUN
cana-5574	56	58	or	or	CCONJ
cana-5574	56	59	media	medium	NOUN
cana-5574	56	60	messaging	messaging	NOUN
cana-5574	56	61	)	)	PUNCT
cana-5574	56	62	might	might	AUX
cana-5574	56	63	shift	shift	VERB
cana-5574	56	64	groups	group	NOUN
cana-5574	56	65	out	out	ADP
cana-5574	56	66	of	of	ADP
cana-5574	56	67	radicalized	radicalize	VERB
cana-5574	56	68	basins	basin	NOUN
cana-5574	56	69	of	of	ADP
cana-5574	56	70	attraction	attraction	NOUN
cana-5574	56	71	.	.	PUNCT
cana-5574	57	1	deterministic	deterministic	ADJ
cana-5574	57	2	differential	differential	NOUN
cana-5574	57	3	equation	equation	NOUN
cana-5574	57	4	models	model	NOUN
cana-5574	57	5	:	:	PUNCT
cana-5574	57	6	fagioli	fagioli	NOUN
cana-5574	57	7	and	and	CCONJ
cana-5574	57	8	radici	radici	NOUN
cana-5574	57	9	(	(	PUNCT
cana-5574	57	10	2020	2020	NUM
cana-5574	57	11	)	)	PUNCT
cana-5574	57	12	provide	provide	VERB
cana-5574	57	13	an	an	DET
cana-5574	57	14	ode	ode	PROPN
cana-5574	57	15	-	-	PUNCT
cana-5574	57	16	based	base	VERB
cana-5574	57	17	system	system	NOUN
cana-5574	57	18	that	that	PRON
cana-5574	57	19	strikes	strike	VERB
cana-5574	57	20	a	a	DET
cana-5574	57	21	balance	balance	NOUN
cana-5574	57	22	between	between	ADP
cana-5574	57	23	opinion	opinion	NOUN
cana-5574	57	24	dissemination	dissemination	NOUN
cana-5574	57	25	and	and	CCONJ
cana-5574	57	26	compromise	compromise	NOUN
cana-5574	57	27	.	.	PUNCT
cana-5574	58	1	this	this	DET
cana-5574	58	2	system	system	NOUN
cana-5574	58	3	provides	provide	VERB
cana-5574	58	4	deterministic	deterministic	ADJ
cana-5574	58	5	insight	insight	NOUN
cana-5574	58	6	into	into	ADP
cana-5574	58	7	the	the	DET
cana-5574	58	8	behavior	behavior	NOUN
cana-5574	58	9	of	of	ADP
cana-5574	58	10	clustering	clustering	NOUN
cana-5574	58	11	and	and	CCONJ
cana-5574	58	12	acts	act	VERB
cana-5574	58	13	as	as	ADP
cana-5574	58	14	a	a	DET
cana-5574	58	15	bridge	bridge	NOUN
cana-5574	58	16	to	to	ADP
cana-5574	58	17	macroscopic	macroscopic	ADJ
cana-5574	58	18	partial	partial	ADJ
cana-5574	58	19	differential	differential	NOUN
cana-5574	58	20	equations	equation	NOUN
cana-5574	58	21	.	.	PUNCT
cana-5574	59	1	bounded	bound	VERB
cana-5574	59	2	-	-	PUNCT
cana-5574	59	3	confidence	confidence	NOUN
cana-5574	59	4	models	model	NOUN
cana-5574	59	5	:	:	PUNCT
cana-5574	59	6	the	the	DET
cana-5574	59	7	frameworks	framework	NOUN
cana-5574	59	8	of	of	ADP
cana-5574	59	9	deffuant	deffuant	ADJ
cana-5574	59	10	–	–	PUNCT
cana-5574	59	11	weisbuch	weisbuch	NOUN
cana-5574	59	12	and	and	CCONJ
cana-5574	59	13	communications	communication	NOUN
cana-5574	59	14	on	on	ADP
cana-5574	59	15	applied	apply	VERB
cana-5574	59	16	nonlinear	nonlinear	ADJ
cana-5574	59	17	analysis	analysis	NOUN
cana-5574	59	18	issn	issn	NOUN
cana-5574	59	19	:	:	PUNCT
cana-5574	59	20	1074	1074	NUM
cana-5574	59	21	-	-	PUNCT
cana-5574	59	22	133x	133x	NUM
cana-5574	59	23	vol	vol	NOUN
cana-5574	59	24	28	28	NUM
cana-5574	60	1	no	no	NOUN
cana-5574	60	2	.	.	NOUN
cana-5574	60	3	4	4	NUM
cana-5574	60	4	(	(	PUNCT
cana-5574	60	5	2021	2021	NUM
cana-5574	60	6	)	)	PUNCT
cana-5574	60	7	108	108	NUM
cana-5574	60	8	https://internationalpubls.com	https://internationalpubls.com	X
cana-5574	60	9	hegselmann	hegselmann	PROPN
cana-5574	60	10	–	–	PUNCT
cana-5574	60	11	krause	krause	NOUN
cana-5574	60	12	,	,	PUNCT
cana-5574	60	13	which	which	PRON
cana-5574	60	14	are	be	AUX
cana-5574	60	15	often	often	ADV
cana-5574	60	16	stated	state	VERB
cana-5574	60	17	using	use	VERB
cana-5574	60	18	continuous	continuous	ADJ
cana-5574	60	19	-	-	PUNCT
cana-5574	60	20	time	time	NOUN
cana-5574	60	21	odes	ode	NOUN
cana-5574	60	22	,	,	PUNCT
cana-5574	60	23	illustrate	illustrate	VERB
cana-5574	60	24	how	how	SCONJ
cana-5574	60	25	selective	selective	ADJ
cana-5574	60	26	interaction	interaction	NOUN
cana-5574	60	27	within	within	ADP
cana-5574	60	28	confidence	confidence	NOUN
cana-5574	60	29	thresholds	threshold	NOUN
cana-5574	60	30	may	may	AUX
cana-5574	60	31	either	either	CCONJ
cana-5574	60	32	generate	generate	VERB
cana-5574	60	33	consensus	consensus	NOUN
cana-5574	60	34	or	or	CCONJ
cana-5574	60	35	fragmentation	fragmentation	NOUN
cana-5574	60	36	.	.	PUNCT
cana-5574	61	1	nonlinear	nonlinear	ADJ
cana-5574	61	2	extensions	extension	NOUN
cana-5574	61	3	:	:	PUNCT
cana-5574	61	4	incorporating	incorporate	VERB
cana-5574	61	5	saturation	saturation	NOUN
cana-5574	61	6	or	or	CCONJ
cana-5574	61	7	cognitive	cognitive	ADJ
cana-5574	61	8	elements	element	NOUN
cana-5574	61	9	(	(	PUNCT
cana-5574	61	10	e.g.	e.g.	ADV
cana-5574	61	11	,	,	PUNCT
cana-5574	61	12	acceptance	acceptance	NOUN
cana-5574	61	13	and	and	CCONJ
cana-5574	61	14	constriction	constriction	NOUN
cana-5574	61	15	dynamics	dynamic	NOUN
cana-5574	61	16	)	)	PUNCT
cana-5574	61	17	allows	allow	VERB
cana-5574	61	18	models	model	NOUN
cana-5574	61	19	to	to	PART
cana-5574	61	20	emulate	emulate	VERB
cana-5574	61	21	cascades	cascade	NOUN
cana-5574	61	22	,	,	PUNCT
cana-5574	61	23	multistability	multistability	NOUN
cana-5574	61	24	,	,	PUNCT
cana-5574	61	25	and	and	CCONJ
cana-5574	61	26	extremism	extremism	NOUN
cana-5574	61	27	—	—	PUNCT
cana-5574	61	28	essential	essential	ADJ
cana-5574	61	29	attributes	attribute	NOUN
cana-5574	61	30	of	of	ADP
cana-5574	61	31	belief	belief	NOUN
cana-5574	61	32	dynamics	dynamic	NOUN
cana-5574	61	33	throughout	throughout	ADP
cana-5574	61	34	society	society	NOUN
cana-5574	61	35	.	.	PUNCT
cana-5574	62	1	the	the	DET
cana-5574	62	2	use	use	NOUN
cana-5574	62	3	of	of	ADP
cana-5574	62	4	control	control	NOUN
cana-5574	62	5	theory	theory	NOUN
cana-5574	62	6	is	be	AUX
cana-5574	62	7	rather	rather	ADV
cana-5574	62	8	unusual	unusual	ADJ
cana-5574	62	9	in	in	ADP
cana-5574	62	10	the	the	DET
cana-5574	62	11	field	field	NOUN
cana-5574	62	12	of	of	ADP
cana-5574	62	13	social	social	ADJ
cana-5574	62	14	science	science	NOUN
cana-5574	62	15	.	.	PUNCT
cana-5574	63	1	however	however	ADV
cana-5574	63	2	,	,	PUNCT
cana-5574	63	3	laplace	laplace	NOUN
cana-5574	63	4	transforms	transform	NOUN
cana-5574	63	5	have	have	AUX
cana-5574	63	6	been	be	AUX
cana-5574	63	7	effectively	effectively	ADV
cana-5574	63	8	utilized	utilize	VERB
cana-5574	63	9	in	in	ADP
cana-5574	63	10	dynamic	dynamic	ADJ
cana-5574	63	11	systems	system	NOUN
cana-5574	63	12	,	,	PUNCT
cana-5574	63	13	such	such	ADJ
cana-5574	63	14	as	as	ADP
cana-5574	63	15	electrical	electrical	ADJ
cana-5574	63	16	engineering	engineering	NOUN
cana-5574	63	17	,	,	PUNCT
cana-5574	63	18	for	for	ADP
cana-5574	63	19	the	the	DET
cana-5574	63	20	purpose	purpose	NOUN
cana-5574	63	21	of	of	ADP
cana-5574	63	22	solving	solve	VERB
cana-5574	63	23	ordinary	ordinary	ADJ
cana-5574	63	24	differential	differential	ADJ
cana-5574	63	25	equations	equation	NOUN
cana-5574	63	26	(	(	PUNCT
cana-5574	63	27	odes	ode	NOUN
cana-5574	63	28	)	)	PUNCT
cana-5574	63	29	and	and	CCONJ
cana-5574	63	30	assessing	assess	VERB
cana-5574	63	31	stability	stability	NOUN
cana-5574	63	32	and	and	CCONJ
cana-5574	63	33	transient	transient	ADJ
cana-5574	63	34	behavior	behavior	NOUN
cana-5574	63	35	.	.	PUNCT
cana-5574	64	1	potential	potential	NOUN
cana-5574	64	2	for	for	ADP
cana-5574	64	3	social	social	ADJ
cana-5574	64	4	odes	ode	NOUN
cana-5574	64	5	:	:	PUNCT
cana-5574	64	6	these	these	DET
cana-5574	64	7	transformations	transformation	NOUN
cana-5574	64	8	have	have	VERB
cana-5574	64	9	the	the	DET
cana-5574	64	10	ability	ability	NOUN
cana-5574	64	11	to	to	PART
cana-5574	64	12	translate	translate	VERB
cana-5574	64	13	linearized	linearized	ADJ
cana-5574	64	14	belief	belief	NOUN
cana-5574	64	15	dynamics	dynamic	NOUN
cana-5574	64	16	into	into	ADP
cana-5574	64	17	the	the	DET
cana-5574	64	18	frequency	frequency	NOUN
cana-5574	64	19	domain	domain	NOUN
cana-5574	64	20	,	,	PUNCT
cana-5574	64	21	which	which	PRON
cana-5574	64	22	enables	enable	VERB
cana-5574	64	23	the	the	DET
cana-5574	64	24	discovery	discovery	NOUN
cana-5574	64	25	of	of	ADP
cana-5574	64	26	alterations	alteration	NOUN
cana-5574	64	27	in	in	ADP
cana-5574	64	28	system	system	NOUN
cana-5574	64	29	behavior	behavior	NOUN
cana-5574	64	30	(	(	PUNCT
cana-5574	64	31	for	for	ADP
cana-5574	64	32	example	example	NOUN
cana-5574	64	33	,	,	PUNCT
cana-5574	64	34	pitchfork	pitchfork	NOUN
cana-5574	64	35	bifurcations	bifurcation	NOUN
cana-5574	64	36	)	)	PUNCT
cana-5574	64	37	.	.	PUNCT
cana-5574	65	1	however	however	ADV
cana-5574	65	2	,	,	PUNCT
cana-5574	65	3	their	their	PRON
cana-5574	65	4	use	use	NOUN
cana-5574	65	5	in	in	ADP
cana-5574	65	6	social	social	ADJ
cana-5574	65	7	diffusion	diffusion	NOUN
cana-5574	65	8	models	model	NOUN
cana-5574	65	9	has	have	AUX
cana-5574	65	10	been	be	AUX
cana-5574	65	11	restricted	restrict	VERB
cana-5574	65	12	.	.	PUNCT
cana-5574	66	1	degroot	degroot	PROPN
cana-5574	66	2	(	(	PUNCT
cana-5574	66	3	1974	1974	NUM
cana-5574	66	4	)	)	PUNCT
cana-5574	66	5	was	be	AUX
cana-5574	66	6	a	a	DET
cana-5574	66	7	pioneer	pioneer	NOUN
cana-5574	66	8	in	in	ADP
cana-5574	66	9	the	the	DET
cana-5574	66	10	field	field	NOUN
cana-5574	66	11	of	of	ADP
cana-5574	66	12	early	early	ADJ
cana-5574	66	13	mathematical	mathematical	ADJ
cana-5574	66	14	models	model	NOUN
cana-5574	66	15	of	of	ADP
cana-5574	66	16	social	social	ADJ
cana-5574	66	17	impact	impact	NOUN
cana-5574	66	18	.	.	PUNCT
cana-5574	67	1	he	he	PRON
cana-5574	67	2	presented	present	VERB
cana-5574	67	3	a	a	DET
cana-5574	67	4	linear	linear	ADJ
cana-5574	67	5	consensus	consensus	NOUN
cana-5574	67	6	process	process	NOUN
cana-5574	67	7	while	while	SCONJ
cana-5574	67	8	they	they	PRON
cana-5574	67	9	were	be	AUX
cana-5574	67	10	being	be	AUX
cana-5574	67	11	developed	develop	VERB
cana-5574	67	12	.	.	PUNCT
cana-5574	68	1	this	this	DET
cana-5574	68	2	concept	concept	NOUN
cana-5574	68	3	was	be	AUX
cana-5574	68	4	expanded	expand	VERB
cana-5574	68	5	upon	upon	SCONJ
cana-5574	68	6	by	by	ADP
cana-5574	68	7	friedkin	friedkin	PROPN
cana-5574	68	8	and	and	CCONJ
cana-5574	68	9	johnsen	johnsen	PROPN
cana-5574	68	10	(	(	PUNCT
cana-5574	68	11	1990	1990	NUM
cana-5574	68	12	)	)	PUNCT
cana-5574	68	13	to	to	PART
cana-5574	68	14	include	include	VERB
cana-5574	68	15	agents	agent	NOUN
cana-5574	68	16	who	who	PRON
cana-5574	68	17	are	be	AUX
cana-5574	68	18	obstinate	obstinate	ADJ
cana-5574	68	19	and	and	CCONJ
cana-5574	68	20	resistant	resistant	ADJ
cana-5574	68	21	to	to	PART
cana-5574	68	22	change	change	VERB
cana-5574	68	23	in	in	ADP
cana-5574	68	24	thinking	think	VERB
cana-5574	68	25	.	.	PUNCT
cana-5574	69	1	after	after	ADP
cana-5574	69	2	some	some	DET
cana-5574	69	3	time	time	NOUN
cana-5574	69	4	,	,	PUNCT
cana-5574	69	5	the	the	DET
cana-5574	69	6	bounded	bound	VERB
cana-5574	69	7	-	-	PUNCT
cana-5574	69	8	confidence	confidence	NOUN
cana-5574	69	9	model	model	NOUN
cana-5574	69	10	(	(	PUNCT
cana-5574	69	11	hegselmann	hegselmann	PROPN
cana-5574	69	12	&	&	CCONJ
cana-5574	69	13	krause	krause	PROPN
cana-5574	69	14	,	,	PUNCT
cana-5574	69	15	2002	2002	NUM
cana-5574	69	16	)	)	PUNCT
cana-5574	69	17	provided	provide	VERB
cana-5574	69	18	an	an	DET
cana-5574	69	19	explanation	explanation	NOUN
cana-5574	69	20	for	for	ADP
cana-5574	69	21	polarization	polarization	NOUN
cana-5574	69	22	by	by	ADP
cana-5574	69	23	means	mean	NOUN
cana-5574	69	24	of	of	ADP
cana-5574	69	25	homophily	homophily	ADV
cana-5574	69	26	.	.	PUNCT
cana-5574	70	1	this	this	DET
cana-5574	70	2	model	model	NOUN
cana-5574	70	3	demonstrated	demonstrate	VERB
cana-5574	70	4	that	that	SCONJ
cana-5574	70	5	agents	agent	NOUN
cana-5574	70	6	only	only	ADV
cana-5574	70	7	engage	engage	VERB
cana-5574	70	8	with	with	ADP
cana-5574	70	9	neighbors	neighbor	NOUN
cana-5574	70	10	who	who	PRON
cana-5574	70	11	are	be	AUX
cana-5574	70	12	ideologically	ideologically	ADV
cana-5574	70	13	close	close	ADJ
cana-5574	70	14	to	to	ADP
cana-5574	70	15	them	they	PRON
cana-5574	70	16	.	.	PUNCT
cana-5574	71	1	in	in	ADP
cana-5574	71	2	their	their	PRON
cana-5574	71	3	2013	2013	NUM
cana-5574	71	4	study	study	NOUN
cana-5574	71	5	,	,	PUNCT
cana-5574	71	6	mas	mas	PROPN
cana-5574	71	7	and	and	CCONJ
cana-5574	71	8	flache	flache	NOUN
cana-5574	71	9	revealed	reveal	VERB
cana-5574	71	10	that	that	SCONJ
cana-5574	71	11	negative	negative	ADJ
cana-5574	71	12	influence	influence	NOUN
cana-5574	71	13	,	,	PUNCT
cana-5574	71	14	which	which	PRON
cana-5574	71	15	is	be	AUX
cana-5574	71	16	defined	define	VERB
cana-5574	71	17	as	as	ADP
cana-5574	71	18	the	the	DET
cana-5574	71	19	rejection	rejection	NOUN
cana-5574	71	20	of	of	ADP
cana-5574	71	21	opposing	oppose	VERB
cana-5574	71	22	viewpoints	viewpoint	NOUN
cana-5574	71	23	,	,	PUNCT
cana-5574	71	24	has	have	VERB
cana-5574	71	25	the	the	DET
cana-5574	71	26	ability	ability	NOUN
cana-5574	71	27	to	to	PART
cana-5574	71	28	divide	divide	VERB
cana-5574	71	29	populations	population	NOUN
cana-5574	71	30	into	into	ADP
cana-5574	71	31	polarized	polarized	ADJ
cana-5574	71	32	clusters	cluster	NOUN
cana-5574	71	33	even	even	ADV
cana-5574	71	34	in	in	ADP
cana-5574	71	35	the	the	DET
cana-5574	71	36	absence	absence	NOUN
cana-5574	71	37	of	of	ADP
cana-5574	71	38	explicit	explicit	ADJ
cana-5574	71	39	homophily	homophily	ADV
cana-5574	71	40	.	.	PUNCT
cana-5574	72	1	dandekar	dandekar	PROPN
cana-5574	72	2	et	et	PROPN
cana-5574	72	3	al	al	PROPN
cana-5574	72	4	.	.	PROPN
cana-5574	73	1	(	(	PUNCT
cana-5574	73	2	2013	2013	NUM
cana-5574	73	3	)	)	PUNCT
cana-5574	73	4	demonstrated	demonstrate	VERB
cana-5574	73	5	that	that	SCONJ
cana-5574	73	6	this	this	DET
cana-5574	73	7	phenomenon	phenomenon	NOUN
cana-5574	73	8	,	,	PUNCT
cana-5574	73	9	which	which	PRON
cana-5574	73	10	they	they	PRON
cana-5574	73	11	referred	refer	VERB
cana-5574	73	12	to	to	ADP
cana-5574	73	13	as	as	ADP
cana-5574	73	14	the	the	DET
cana-5574	73	15	skewed	skewed	ADJ
cana-5574	73	16	assimilation	assimilation	NOUN
cana-5574	73	17	effect	effect	NOUN
cana-5574	73	18	,	,	PUNCT
cana-5574	73	19	has	have	VERB
cana-5574	73	20	a	a	DET
cana-5574	73	21	destabilizing	destabilizing	ADJ
cana-5574	73	22	influence	influence	NOUN
cana-5574	73	23	on	on	ADP
cana-5574	73	24	equilibrium	equilibrium	NOUN
cana-5574	73	25	states	state	NOUN
cana-5574	73	26	.	.	PUNCT
cana-5574	74	1	in	in	ADP
cana-5574	74	2	the	the	DET
cana-5574	74	3	meanwhile	meanwhile	ADV
cana-5574	74	4	,	,	PUNCT
cana-5574	74	5	sobkowicz	sobkowicz	X
cana-5574	74	6	(	(	PUNCT
cana-5574	74	7	2016	2016	NUM
cana-5574	74	8	)	)	PUNCT
cana-5574	74	9	introduced	introduce	VERB
cana-5574	74	10	nonlinear	nonlinear	ADJ
cana-5574	74	11	reinforcement	reinforcement	NOUN
cana-5574	74	12	elements	element	NOUN
cana-5574	74	13	into	into	ADP
cana-5574	74	14	his	his	PRON
cana-5574	74	15	model	model	NOUN
cana-5574	74	16	of	of	ADP
cana-5574	74	17	rising	rise	VERB
cana-5574	74	18	extremism	extremism	NOUN
cana-5574	74	19	in	in	ADP
cana-5574	74	20	confined	confine	VERB
cana-5574	74	21	groups	group	NOUN
cana-5574	74	22	.	.	PUNCT
cana-5574	75	1	parsegov	parsegov	NOUN
cana-5574	75	2	et	et	PROPN
cana-5574	75	3	al	al	PROPN
cana-5574	75	4	.	.	PROPN
cana-5574	76	1	(	(	PUNCT
cana-5574	76	2	2017	2017	NUM
cana-5574	76	3	)	)	PUNCT
cana-5574	76	4	demonstrated	demonstrate	VERB
cana-5574	76	5	the	the	DET
cana-5574	76	6	first	first	ADJ
cana-5574	76	7	use	use	NOUN
cana-5574	76	8	of	of	ADP
cana-5574	76	9	control	control	NOUN
cana-5574	76	10	-	-	PUNCT
cana-5574	76	11	theoretic	theoretic	ADJ
cana-5574	76	12	methods	method	NOUN
cana-5574	76	13	to	to	ADP
cana-5574	76	14	the	the	DET
cana-5574	76	15	study	study	NOUN
cana-5574	76	16	of	of	ADP
cana-5574	76	17	opinion	opinion	NOUN
cana-5574	76	18	dynamics	dynamic	NOUN
cana-5574	76	19	.	.	PUNCT
cana-5574	77	1	they	they	PRON
cana-5574	77	2	did	do	VERB
cana-5574	77	3	so	so	ADV
cana-5574	77	4	by	by	ADP
cana-5574	77	5	using	use	VERB
cana-5574	77	6	lyapunov	lyapunov	ADJ
cana-5574	77	7	functions	function	NOUN
cana-5574	77	8	to	to	PART
cana-5574	77	9	investigate	investigate	VERB
cana-5574	77	10	the	the	DET
cana-5574	77	11	stability	stability	NOUN
cana-5574	77	12	of	of	ADP
cana-5574	77	13	consensus	consensus	NOUN
cana-5574	77	14	.	.	PUNCT
cana-5574	78	1	laplace	laplace	NOUN
cana-5574	78	2	-	-	PUNCT
cana-5574	78	3	domain	domain	NOUN
cana-5574	78	4	analysis	analysis	NOUN
cana-5574	78	5	was	be	AUX
cana-5574	78	6	then	then	ADV
cana-5574	78	7	extended	extend	VERB
cana-5574	78	8	by	by	ADP
cana-5574	78	9	pineda	pineda	PROPN
cana-5574	78	10	et	et	PROPN
cana-5574	78	11	al	al	PROPN
cana-5574	78	12	.	.	PROPN
cana-5574	79	1	(	(	PUNCT
cana-5574	79	2	2018	2018	NUM
cana-5574	79	3	)	)	PUNCT
cana-5574	80	1	in	in	ADP
cana-5574	80	2	order	order	NOUN
cana-5574	80	3	to	to	PART
cana-5574	80	4	measure	measure	VERB
cana-5574	80	5	the	the	DET
cana-5574	80	6	robustness	robustness	NOUN
cana-5574	80	7	of	of	ADP
cana-5574	80	8	polarized	polarize	VERB
cana-5574	80	9	states	state	NOUN
cana-5574	80	10	against	against	ADP
cana-5574	80	11	disturbances	disturbance	NOUN
cana-5574	80	12	.	.	PUNCT
cana-5574	81	1	these	these	DET
cana-5574	81	2	methodologies	methodology	NOUN
cana-5574	81	3	continue	continue	VERB
cana-5574	81	4	to	to	PART
cana-5574	81	5	serve	serve	VERB
cana-5574	81	6	as	as	ADP
cana-5574	81	7	the	the	DET
cana-5574	81	8	basis	basis	NOUN
cana-5574	81	9	for	for	ADP
cana-5574	81	10	contemporary	contemporary	ADJ
cana-5574	81	11	sociophysics	sociophysic	NOUN
cana-5574	81	12	.	.	PUNCT
cana-5574	82	1	researchers	researcher	NOUN
cana-5574	82	2	were	be	AUX
cana-5574	82	3	able	able	ADJ
cana-5574	82	4	to	to	PART
cana-5574	82	5	conduct	conduct	VERB
cana-5574	82	6	numerical	numerical	ADJ
cana-5574	82	7	investigations	investigation	NOUN
cana-5574	82	8	of	of	ADP
cana-5574	82	9	complicated	complicated	ADJ
cana-5574	82	10	social	social	ADJ
cana-5574	82	11	odes	ode	NOUN
cana-5574	82	12	because	because	SCONJ
cana-5574	82	13	to	to	ADP
cana-5574	82	14	the	the	DET
cana-5574	82	15	runge	runge	NOUN
cana-5574	82	16	-	-	PUNCT
cana-5574	82	17	kutta	kutta	NOUN
cana-5574	82	18	technique	technique	NOUN
cana-5574	82	19	(	(	PUNCT
cana-5574	82	20	butcher	butcher	NOUN
cana-5574	82	21	,	,	PUNCT
cana-5574	82	22	2016	2016	NUM
cana-5574	82	23	)	)	PUNCT
cana-5574	82	24	.	.	PUNCT
cana-5574	83	1	in	in	ADP
cana-5574	83	2	order	order	NOUN
cana-5574	83	3	to	to	PART
cana-5574	83	4	mimic	mimic	VERB
cana-5574	83	5	echo	echo	NOUN
cana-5574	83	6	chambers	chamber	NOUN
cana-5574	83	7	,	,	PUNCT
cana-5574	83	8	crooks	crook	NOUN
cana-5574	83	9	et	et	PROPN
cana-5574	83	10	al	al	PROPN
cana-5574	83	11	.	.	PUNCT
cana-5574	84	1	(	(	PUNCT
cana-5574	84	2	2016	2016	NUM
cana-5574	84	3	)	)	PUNCT
cana-5574	84	4	integrated	integrate	VERB
cana-5574	84	5	it	it	PRON
cana-5574	84	6	with	with	ADP
cana-5574	84	7	agent	agent	NOUN
cana-5574	84	8	-	-	PUNCT
cana-5574	84	9	based	base	VERB
cana-5574	84	10	modeling	modeling	NOUN
cana-5574	84	11	.	.	PUNCT
cana-5574	85	1	flache	flache	PROPN
cana-5574	85	2	et	et	PROPN
cana-5574	85	3	al	al	PROPN
cana-5574	85	4	.	.	PROPN
cana-5574	86	1	(	(	PUNCT
cana-5574	86	2	2017	2017	NUM
cana-5574	86	3	)	)	PUNCT
cana-5574	86	4	verified	verify	VERB
cana-5574	86	5	such	such	ADJ
cana-5574	86	6	models	model	NOUN
cana-5574	86	7	experimentally	experimentally	ADV
cana-5574	86	8	by	by	ADP
cana-5574	86	9	utilizing	utilize	VERB
cana-5574	86	10	data	datum	NOUN
cana-5574	86	11	from	from	ADP
cana-5574	86	12	social	social	ADJ
cana-5574	86	13	media	medium	NOUN
cana-5574	86	14	platforms	platform	NOUN
cana-5574	86	15	.	.	PUNCT
cana-5574	87	1	echo	echo	NOUN
cana-5574	87	2	chambers	chamber	NOUN
cana-5574	87	3	are	be	AUX
cana-5574	87	4	situations	situation	NOUN
cana-5574	87	5	in	in	ADP
cana-5574	87	6	which	which	PRON
cana-5574	87	7	people	people	NOUN
cana-5574	87	8	are	be	AUX
cana-5574	87	9	mostly	mostly	ADV
cana-5574	87	10	exposed	expose	VERB
cana-5574	87	11	to	to	ADP
cana-5574	87	12	information	information	NOUN
cana-5574	87	13	that	that	PRON
cana-5574	87	14	is	be	AUX
cana-5574	87	15	in	in	ADP
cana-5574	87	16	agreement	agreement	NOUN
cana-5574	87	17	with	with	ADP
cana-5574	87	18	their	their	PRON
cana-5574	87	19	prior	prior	ADJ
cana-5574	87	20	opinions	opinion	NOUN
cana-5574	87	21	.	.	PUNCT
cana-5574	88	1	the	the	DET
cana-5574	88	2	rapid	rapid	ADJ
cana-5574	88	3	growth	growth	NOUN
cana-5574	88	4	of	of	ADP
cana-5574	88	5	social	social	ADJ
cana-5574	88	6	media	medium	NOUN
cana-5574	88	7	has	have	AUX
cana-5574	88	8	contributed	contribute	VERB
cana-5574	88	9	to	to	ADP
cana-5574	88	10	the	the	DET
cana-5574	88	11	intensification	intensification	NOUN
cana-5574	88	12	of	of	ADP
cana-5574	88	13	the	the	DET
cana-5574	88	14	construction	construction	NOUN
cana-5574	88	15	of	of	ADP
cana-5574	88	16	echo	echo	NOUN
cana-5574	88	17	chambers	chamber	NOUN
cana-5574	88	18	.	.	PUNCT
cana-5574	89	1	those	those	DET
cana-5574	89	2	kinds	kind	NOUN
cana-5574	89	3	of	of	ADP
cana-5574	89	4	situations	situation	NOUN
cana-5574	89	5	may	may	AUX
cana-5574	89	6	hasten	hasten	VERB
cana-5574	89	7	the	the	DET
cana-5574	89	8	process	process	NOUN
cana-5574	89	9	of	of	ADP
cana-5574	89	10	radicalization	radicalization	NOUN
cana-5574	89	11	and	and	CCONJ
cana-5574	89	12	intellectual	intellectual	ADJ
cana-5574	89	13	extremism	extremism	NOUN
cana-5574	89	14	,	,	PUNCT
cana-5574	89	15	which	which	PRON
cana-5574	89	16	in	in	ADP
cana-5574	89	17	turn	turn	NOUN
cana-5574	89	18	presents	present	VERB
cana-5574	89	19	difficulties	difficulty	NOUN
cana-5574	89	20	for	for	ADP
cana-5574	89	21	democratic	democratic	ADJ
cana-5574	89	22	debate	debate	NOUN
cana-5574	89	23	.	.	PUNCT
cana-5574	90	1	despite	despite	SCONJ
cana-5574	90	2	the	the	DET
cana-5574	90	3	fact	fact	NOUN
cana-5574	90	4	that	that	SCONJ
cana-5574	90	5	these	these	DET
cana-5574	90	6	effects	effect	NOUN
cana-5574	90	7	have	have	AUX
cana-5574	90	8	been	be	AUX
cana-5574	90	9	established	establish	VERB
cana-5574	90	10	by	by	ADP
cana-5574	90	11	empirical	empirical	ADJ
cana-5574	90	12	investigations	investigation	NOUN
cana-5574	90	13	,	,	PUNCT
cana-5574	90	14	mathematical	mathematical	ADJ
cana-5574	90	15	models	model	NOUN
cana-5574	90	16	continue	continue	VERB
cana-5574	90	17	to	to	PART
cana-5574	90	18	be	be	AUX
cana-5574	90	19	fundamental	fundamental	ADJ
cana-5574	90	20	for	for	ADP
cana-5574	90	21	characterizing	characterize	VERB
cana-5574	90	22	the	the	DET
cana-5574	90	23	processes	process	NOUN
cana-5574	90	24	that	that	PRON
cana-5574	90	25	are	be	AUX
cana-5574	90	26	responsible	responsible	ADJ
cana-5574	90	27	for	for	ADP
cana-5574	90	28	belief	belief	NOUN
cana-5574	90	29	alterations	alteration	NOUN
cana-5574	90	30	.	.	PUNCT
cana-5574	91	1	agent	agent	NOUN
cana-5574	91	2	-	-	PUNCT
cana-5574	91	3	based	base	VERB
cana-5574	91	4	models	model	NOUN
cana-5574	91	5	(	(	PUNCT
cana-5574	91	6	abms	abms	VERB
cana-5574	91	7	)	)	PUNCT
cana-5574	91	8	and	and	CCONJ
cana-5574	91	9	differential	differential	ADJ
cana-5574	91	10	equation	equation	NOUN
cana-5574	91	11	techniques	technique	NOUN
cana-5574	91	12	have	have	AUX
cana-5574	91	13	been	be	AUX
cana-5574	91	14	used	use	VERB
cana-5574	91	15	in	in	ADP
cana-5574	91	16	previous	previous	ADJ
cana-5574	91	17	research	research	NOUN
cana-5574	91	18	;	;	PUNCT
cana-5574	91	19	nevertheless	nevertheless	ADV
cana-5574	91	20	,	,	PUNCT
cana-5574	91	21	these	these	DET
cana-5574	91	22	methods	method	NOUN
cana-5574	91	23	sometimes	sometimes	ADV
cana-5574	91	24	struggle	struggle	VERB
cana-5574	91	25	with	with	ADP
cana-5574	91	26	computing	compute	VERB
cana-5574	91	27	complexity	complexity	NOUN
cana-5574	91	28	or	or	CCONJ
cana-5574	91	29	lack	lack	VERB
cana-5574	91	30	closed	closed	ADJ
cana-5574	91	31	-	-	PUNCT
cana-5574	91	32	form	form	NOUN
cana-5574	91	33	analytical	analytical	ADJ
cana-5574	91	34	insights	insight	NOUN
cana-5574	91	35	.	.	PUNCT
cana-5574	92	1	in	in	ADP
cana-5574	92	2	order	order	NOUN
cana-5574	92	3	to	to	PART
cana-5574	92	4	close	close	VERB
cana-5574	92	5	this	this	DET
cana-5574	92	6	gap	gap	NOUN
cana-5574	92	7	,	,	PUNCT
cana-5574	92	8	we	we	PRON
cana-5574	92	9	have	have	AUX
cana-5574	92	10	developed	develop	VERB
cana-5574	92	11	a	a	DET
cana-5574	92	12	hybrid	hybrid	ADJ
cana-5574	92	13	ode	ode	ADJ
cana-5574	92	14	-	-	PUNCT
cana-5574	92	15	laplace	laplace	NOUN
cana-5574	92	16	-	-	PUNCT
cana-5574	92	17	runge	runge	NOUN
cana-5574	92	18	-	-	PUNCT
cana-5574	92	19	kutta	kutta	NOUN
cana-5574	92	20	(	(	PUNCT
cana-5574	92	21	hlrk	hlrk	NOUN
cana-5574	92	22	)	)	PUNCT
cana-5574	92	23	technique	technique	NOUN
cana-5574	92	24	that	that	PRON
cana-5574	92	25	combines	combine	VERB
cana-5574	92	26	the	the	DET
cana-5574	92	27	following	following	ADJ
cana-5574	92	28	variables	variable	NOUN
cana-5574	92	29	:	:	PUNCT
cana-5574	92	30	communications	communication	NOUN
cana-5574	92	31	on	on	ADP
cana-5574	92	32	applied	apply	VERB
cana-5574	92	33	nonlinear	nonlinear	ADJ
cana-5574	92	34	analysis	analysis	NOUN
cana-5574	92	35	issn	issn	NOUN
cana-5574	92	36	:	:	PUNCT
cana-5574	92	37	1074	1074	NUM
cana-5574	92	38	-	-	PUNCT
cana-5574	92	39	133x	133x	NUM
cana-5574	92	40	vol	vol	NOUN
cana-5574	92	41	28	28	NUM
cana-5574	92	42	no	no	NOUN
cana-5574	92	43	.	.	NOUN
cana-5574	92	44	4	4	NUM
cana-5574	92	45	(	(	PUNCT
cana-5574	92	46	2021	2021	NUM
cana-5574	92	47	)	)	PUNCT
cana-5574	93	1	109	109	NUM
cana-5574	93	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-5574	93	3	1	1	NUM
cana-5574	93	4	.	.	PUNCT
cana-5574	93	5	ode	ode	NOUN
cana-5574	93	6	-	-	PUNCT
cana-5574	93	7	based	base	VERB
cana-5574	93	8	belief	belief	NOUN
cana-5574	93	9	dynamics	dynamic	NOUN
cana-5574	93	10	—	—	PUNCT
cana-5574	93	11	modeling	model	VERB
cana-5574	93	12	reinforcement	reinforcement	NOUN
cana-5574	93	13	and	and	CCONJ
cana-5574	93	14	counteraction	counteraction	NOUN
cana-5574	93	15	effects	effect	NOUN
cana-5574	93	16	.	.	PUNCT
cana-5574	94	1	2	2	X
cana-5574	94	2	.	.	X
cana-5574	94	3	laplace	laplace	NOUN
cana-5574	94	4	transforms	transform	VERB
cana-5574	94	5	—	—	PUNCT
cana-5574	94	6	facilitating	facilitate	VERB
cana-5574	94	7	analytical	analytical	ADJ
cana-5574	94	8	answers	answer	NOUN
cana-5574	94	9	for	for	ADP
cana-5574	94	10	simpler	simple	ADJ
cana-5574	94	11	scenarios	scenario	NOUN
cana-5574	94	12	.	.	PUNCT
cana-5574	95	1	3	3	X
cana-5574	95	2	.	.	X
cana-5574	95	3	adaptive	adaptive	ADJ
cana-5574	95	4	runge	runge	NOUN
cana-5574	95	5	-	-	PUNCT
cana-5574	95	6	kutta	kutta	NOUN
cana-5574	95	7	(	(	PUNCT
cana-5574	95	8	rk4	rk4	NOUN
cana-5574	95	9	)	)	PUNCT
cana-5574	95	10	integration	integration	NOUN
cana-5574	95	11	—	—	PUNCT
cana-5574	95	12	managing	manage	VERB
cana-5574	95	13	stiff	stiff	ADJ
cana-5574	95	14	and	and	CCONJ
cana-5574	95	15	nonlinear	nonlinear	ADJ
cana-5574	95	16	conditions	condition	NOUN
cana-5574	95	17	.	.	PUNCT
cana-5574	96	1	objective	objective	NOUN
cana-5574	96	2	:	:	PUNCT
cana-5574	96	3	the	the	DET
cana-5574	96	4	main	main	ADJ
cana-5574	96	5	aim	aim	NOUN
cana-5574	96	6	of	of	ADP
cana-5574	96	7	this	this	DET
cana-5574	96	8	study	study	NOUN
cana-5574	96	9	is	be	AUX
cana-5574	96	10	to	to	PART
cana-5574	96	11	provide	provide	VERB
cana-5574	96	12	a	a	DET
cana-5574	96	13	comprehensive	comprehensive	ADJ
cana-5574	96	14	mathematical	mathematical	ADJ
cana-5574	96	15	framework	framework	NOUN
cana-5574	96	16	for	for	ADP
cana-5574	96	17	examining	examine	VERB
cana-5574	96	18	severe	severe	ADJ
cana-5574	96	19	belief	belief	NOUN
cana-5574	96	20	changes	change	NOUN
cana-5574	96	21	in	in	ADP
cana-5574	96	22	echo	echo	NOUN
cana-5574	96	23	chambers	chamber	NOUN
cana-5574	96	24	using	use	VERB
cana-5574	96	25	the	the	DET
cana-5574	96	26	integration	integration	NOUN
cana-5574	96	27	of	of	ADP
cana-5574	96	28	ordinary	ordinary	ADJ
cana-5574	96	29	differential	differential	ADJ
cana-5574	96	30	equations	equation	NOUN
cana-5574	96	31	(	(	PUNCT
cana-5574	96	32	odes	ode	NOUN
cana-5574	96	33	)	)	PUNCT
cana-5574	96	34	,	,	PUNCT
cana-5574	96	35	laplace	laplace	NOUN
cana-5574	96	36	transforms	transform	VERB
cana-5574	96	37	,	,	PUNCT
cana-5574	96	38	and	and	CCONJ
cana-5574	96	39	runge	runge	NOUN
cana-5574	96	40	-	-	PUNCT
cana-5574	96	41	kutta	kutta	NOUN
cana-5574	96	42	numerical	numerical	PROPN
cana-5574	96	43	techniques	technique	NOUN
cana-5574	96	44	.	.	PUNCT
cana-5574	97	1	echo	echo	NOUN
cana-5574	97	2	chambers	chamber	NOUN
cana-5574	97	3	—	—	PUNCT
cana-5574	97	4	social	social	ADJ
cana-5574	97	5	contexts	context	NOUN
cana-5574	97	6	where	where	SCONJ
cana-5574	97	7	people	people	NOUN
cana-5574	97	8	primarily	primarily	ADV
cana-5574	97	9	encounter	encounter	VERB
cana-5574	97	10	affirming	affirm	VERB
cana-5574	97	11	viewpoints	viewpoint	NOUN
cana-5574	97	12	—	—	PUNCT
cana-5574	97	13	frequently	frequently	ADV
cana-5574	97	14	result	result	VERB
cana-5574	97	15	in	in	ADP
cana-5574	97	16	heightened	heightened	ADJ
cana-5574	97	17	ideological	ideological	ADJ
cana-5574	97	18	polarization	polarization	NOUN
cana-5574	97	19	;	;	PUNCT
cana-5574	97	20	nonetheless	nonetheless	ADV
cana-5574	97	21	,	,	PUNCT
cana-5574	97	22	mathematical	mathematical	ADJ
cana-5574	97	23	models	model	NOUN
cana-5574	97	24	that	that	PRON
cana-5574	97	25	encapsulate	encapsulate	VERB
cana-5574	97	26	their	their	PRON
cana-5574	97	27	dynamics	dynamic	NOUN
cana-5574	97	28	are	be	AUX
cana-5574	97	29	still	still	ADV
cana-5574	97	30	few	few	ADJ
cana-5574	97	31	.	.	PUNCT
cana-5574	98	1	the	the	DET
cana-5574	98	2	objective	objective	NOUN
cana-5574	98	3	of	of	ADP
cana-5574	98	4	this	this	DET
cana-5574	98	5	research	research	NOUN
cana-5574	98	6	is	be	AUX
cana-5574	98	7	to	to	PART
cana-5574	98	8	:	:	PUNCT
cana-5574	98	9	1	1	X
cana-5574	98	10	.	.	X
cana-5574	98	11	develop	develop	VERB
cana-5574	98	12	an	an	DET
cana-5574	98	13	innovative	innovative	ADJ
cana-5574	98	14	ordinary	ordinary	ADJ
cana-5574	98	15	differential	differential	ADJ
cana-5574	98	16	equation	equation	NOUN
cana-5574	98	17	(	(	PUNCT
cana-5574	98	18	ode	ode	PROPN
cana-5574	98	19	)	)	PUNCT
cana-5574	98	20	model	model	NOUN
cana-5574	98	21	that	that	PRON
cana-5574	98	22	incorporates	incorporate	VERB
cana-5574	98	23	belief	belief	NOUN
cana-5574	98	24	reinforcement	reinforcement	NOUN
cana-5574	98	25	,	,	PUNCT
cana-5574	98	26	saturation	saturation	NOUN
cana-5574	98	27	effects	effect	NOUN
cana-5574	98	28	,	,	PUNCT
cana-5574	98	29	and	and	CCONJ
cana-5574	98	30	resistance	resistance	NOUN
cana-5574	98	31	to	to	ADP
cana-5574	98	32	dissenting	dissent	VERB
cana-5574	98	33	perspectives	perspective	NOUN
cana-5574	98	34	.	.	PUNCT
cana-5574	99	1	2	2	X
cana-5574	99	2	.	.	X
cana-5574	99	3	integrate	integrate	VERB
cana-5574	99	4	analytical	analytical	ADJ
cana-5574	99	5	and	and	CCONJ
cana-5574	99	6	computational	computational	ADJ
cana-5574	99	7	methods	method	NOUN
cana-5574	99	8	by	by	ADP
cana-5574	99	9	using	use	VERB
cana-5574	99	10	laplace	laplace	NOUN
cana-5574	99	11	transforms	transform	VERB
cana-5574	99	12	for	for	ADP
cana-5574	99	13	precise	precise	ADJ
cana-5574	99	14	solutions	solution	NOUN
cana-5574	99	15	in	in	ADP
cana-5574	99	16	simplified	simplified	ADJ
cana-5574	99	17	scenarios	scenario	NOUN
cana-5574	99	18	and	and	CCONJ
cana-5574	99	19	an	an	DET
cana-5574	99	20	adaptive	adaptive	ADJ
cana-5574	99	21	runge	runge	NOUN
cana-5574	99	22	-	-	PUNCT
cana-5574	99	23	kutta	kutta	NOUN
cana-5574	99	24	method	method	NOUN
cana-5574	99	25	(	(	PUNCT
cana-5574	99	26	rk4	rk4	NOUN
cana-5574	99	27	)	)	PUNCT
cana-5574	99	28	for	for	ADP
cana-5574	99	29	effective	effective	ADJ
cana-5574	99	30	numerical	numerical	ADJ
cana-5574	99	31	integration	integration	NOUN
cana-5574	99	32	in	in	ADP
cana-5574	99	33	nonlinear	nonlinear	ADJ
cana-5574	99	34	contexts	contexts	NOUN
cana-5574	99	35	.	.	PUNCT
cana-5574	100	1	3	3	X
cana-5574	100	2	.	.	X
cana-5574	100	3	determine	determine	VERB
cana-5574	100	4	essential	essential	ADJ
cana-5574	100	5	levels	level	NOUN
cana-5574	100	6	at	at	ADP
cana-5574	100	7	which	which	PRON
cana-5574	100	8	echo	echo	NOUN
cana-5574	100	9	chambers	chamber	NOUN
cana-5574	100	10	induce	induce	VERB
cana-5574	100	11	permanent	permanent	ADJ
cana-5574	100	12	polarization	polarization	NOUN
cana-5574	100	13	,	,	PUNCT
cana-5574	100	14	offering	offer	VERB
cana-5574	100	15	predictive	predictive	ADJ
cana-5574	100	16	insights	insight	NOUN
cana-5574	100	17	into	into	ADP
cana-5574	100	18	actual	actual	ADJ
cana-5574	100	19	radicalization	radicalization	NOUN
cana-5574	100	20	processes	process	NOUN
cana-5574	100	21	.	.	PUNCT
cana-5574	101	1	4	4	X
cana-5574	101	2	.	.	X
cana-5574	101	3	assess	assess	VERB
cana-5574	101	4	the	the	DET
cana-5574	101	5	hybrid	hybrid	ADJ
cana-5574	101	6	ode	ode	ADJ
cana-5574	101	7	-	-	PUNCT
cana-5574	101	8	laplace	laplace	NOUN
cana-5574	101	9	-	-	PUNCT
cana-5574	101	10	runge	runge	NOUN
cana-5574	101	11	-	-	PUNCT
cana-5574	101	12	kutta	kutta	NOUN
cana-5574	101	13	(	(	PUNCT
cana-5574	101	14	hlrk	hlrk	PROPN
cana-5574	101	15	)	)	PUNCT
cana-5574	101	16	method	method	NOUN
cana-5574	101	17	in	in	ADP
cana-5574	101	18	comparison	comparison	NOUN
cana-5574	101	19	to	to	ADP
cana-5574	101	20	conventional	conventional	ADJ
cana-5574	101	21	techniques	technique	NOUN
cana-5574	101	22	,	,	PUNCT
cana-5574	101	23	demonstrating	demonstrate	VERB
cana-5574	101	24	its	its	PRON
cana-5574	101	25	enhanced	enhanced	ADJ
cana-5574	101	26	computing	computing	NOUN
cana-5574	101	27	efficiency	efficiency	NOUN
cana-5574	101	28	and	and	CCONJ
cana-5574	101	29	precision	precision	NOUN
cana-5574	101	30	in	in	ADP
cana-5574	101	31	modeling	model	VERB
cana-5574	101	32	rigid	rigid	ADJ
cana-5574	101	33	dynamical	dynamical	ADJ
cana-5574	101	34	systems	system	NOUN
cana-5574	101	35	.	.	PUNCT
cana-5574	102	1	methodology	methodology	NOUN
cana-5574	102	2	:	:	PUNCT
cana-5574	102	3	in	in	ADP
cana-5574	102	4	order	order	NOUN
cana-5574	102	5	to	to	PART
cana-5574	102	6	represent	represent	VERB
cana-5574	102	7	belief	belief	NOUN
cana-5574	102	8	polarization	polarization	NOUN
cana-5574	102	9	in	in	ADP
cana-5574	102	10	echo	echo	NOUN
cana-5574	102	11	chambers	chamber	NOUN
cana-5574	102	12	,	,	PUNCT
cana-5574	102	13	the	the	DET
cana-5574	102	14	technique	technique	NOUN
cana-5574	102	15	of	of	ADP
cana-5574	102	16	this	this	DET
cana-5574	102	17	study	study	NOUN
cana-5574	102	18	incorporates	incorporate	VERB
cana-5574	102	19	both	both	DET
cana-5574	102	20	analytical	analytical	ADJ
cana-5574	102	21	and	and	CCONJ
cana-5574	102	22	computational	computational	ADJ
cana-5574	102	23	methods	method	NOUN
cana-5574	102	24	.	.	PUNCT
cana-5574	103	1	to	to	PART
cana-5574	103	2	begin	begin	VERB
cana-5574	103	3	,	,	PUNCT
cana-5574	103	4	a	a	DET
cana-5574	103	5	nonlinear	nonlinear	ADJ
cana-5574	103	6	ordinary	ordinary	ADJ
cana-5574	103	7	differential	differential	ADJ
cana-5574	103	8	equation	equation	NOUN
cana-5574	103	9	(	(	PUNCT
cana-5574	103	10	ode	ode	PROPN
cana-5574	103	11	)	)	PUNCT
cana-5574	103	12	is	be	AUX
cana-5574	103	13	created	create	VERB
cana-5574	103	14	in	in	ADP
cana-5574	103	15	order	order	NOUN
cana-5574	103	16	to	to	PART
cana-5574	103	17	represent	represent	VERB
cana-5574	103	18	the	the	DET
cana-5574	103	19	dynamics	dynamic	NOUN
cana-5574	103	20	of	of	ADP
cana-5574	103	21	belief	belief	NOUN
cana-5574	103	22	.	.	PUNCT
cana-5574	104	1	this	this	DET
cana-5574	104	2	equation	equation	NOUN
cana-5574	104	3	incorporates	incorporate	VERB
cana-5574	104	4	reinforcement	reinforcement	NOUN
cana-5574	104	5	by	by	ADP
cana-5574	104	6	means	mean	NOUN
cana-5574	104	7	of	of	ADP
cana-5574	104	8	a	a	DET
cana-5574	104	9	saturating	saturate	VERB
cana-5574	104	10	tanh	tanh	NOUN
cana-5574	104	11	function	function	NOUN
cana-5574	104	12	,	,	PUNCT
cana-5574	104	13	decay	decay	VERB
cana-5574	104	14	toward	toward	ADP
cana-5574	104	15	a	a	DET
cana-5574	104	16	baseline	baseline	NOUN
cana-5574	104	17	belief	belief	NOUN
cana-5574	104	18	,	,	PUNCT
cana-5574	104	19	and	and	CCONJ
cana-5574	104	20	stochastic	stochastic	ADJ
cana-5574	104	21	noise	noise	NOUN
cana-5574	104	22	as	as	ADP
cana-5574	104	23	an	an	DET
cana-5574	104	24	optional	optional	ADJ
cana-5574	104	25	component	component	NOUN
cana-5574	104	26	.	.	PUNCT
cana-5574	105	1	laplace	laplace	NOUN
cana-5574	105	2	transforms	transform	NOUN
cana-5574	105	3	are	be	AUX
cana-5574	105	4	used	use	VERB
cana-5574	105	5	in	in	ADP
cana-5574	105	6	order	order	NOUN
cana-5574	105	7	to	to	PART
cana-5574	105	8	generate	generate	VERB
cana-5574	105	9	analytical	analytical	ADJ
cana-5574	105	10	solutions	solution	NOUN
cana-5574	105	11	and	and	CCONJ
cana-5574	105	12	stability	stability	NOUN
cana-5574	105	13	criteria	criterion	NOUN
cana-5574	105	14	for	for	ADP
cana-5574	105	15	simplified	simplified	ADJ
cana-5574	105	16	instances	instance	NOUN
cana-5574	105	17	that	that	PRON
cana-5574	105	18	do	do	AUX
cana-5574	105	19	not	not	PART
cana-5574	105	20	include	include	VERB
cana-5574	105	21	any	any	DET
cana-5574	105	22	noise	noise	NOUN
cana-5574	105	23	.	.	PUNCT
cana-5574	106	1	this	this	PRON
cana-5574	106	2	allows	allow	VERB
cana-5574	106	3	for	for	ADP
cana-5574	106	4	the	the	DET
cana-5574	106	5	identification	identification	NOUN
cana-5574	106	6	of	of	ADP
cana-5574	106	7	crucial	crucial	ADJ
cana-5574	106	8	parameter	parameter	NOUN
cana-5574	106	9	thresholds	threshold	NOUN
cana-5574	106	10	necessary	necessary	ADJ
cana-5574	106	11	for	for	ADP
cana-5574	106	12	polarization	polarization	NOUN
cana-5574	106	13	.	.	PUNCT
cana-5574	107	1	a	a	DET
cana-5574	107	2	runge	runge	NOUN
cana-5574	107	3	-	-	PUNCT
cana-5574	107	4	kutta	kutta	NOUN
cana-5574	107	5	(	(	PUNCT
cana-5574	107	6	rk4	rk4	NOUN
cana-5574	107	7	)	)	PUNCT
cana-5574	107	8	approach	approach	NOUN
cana-5574	107	9	of	of	ADP
cana-5574	107	10	the	the	DET
cana-5574	107	11	fourth	fourth	ADJ
cana-5574	107	12	order	order	NOUN
cana-5574	107	13	with	with	ADP
cana-5574	107	14	adaptive	adaptive	ADJ
cana-5574	107	15	step	step	NOUN
cana-5574	107	16	-	-	PUNCT
cana-5574	107	17	size	size	NOUN
cana-5574	107	18	control	control	NOUN
cana-5574	107	19	is	be	AUX
cana-5574	107	20	used	use	VERB
cana-5574	107	21	for	for	ADP
cana-5574	107	22	the	the	DET
cana-5574	107	23	whole	whole	ADJ
cana-5574	107	24	nonlinear	nonlinear	ADJ
cana-5574	107	25	system	system	NOUN
cana-5574	107	26	in	in	ADP
cana-5574	107	27	order	order	NOUN
cana-5574	107	28	to	to	PART
cana-5574	107	29	guarantee	guarantee	VERB
cana-5574	107	30	numerical	numerical	ADJ
cana-5574	107	31	stability	stability	NOUN
cana-5574	107	32	and	and	CCONJ
cana-5574	107	33	accuracy	accuracy	NOUN
cana-5574	107	34	in	in	ADP
cana-5574	107	35	stiff	stiff	ADJ
cana-5574	107	36	regimes	regime	NOUN
cana-5574	107	37	.	.	PUNCT
cana-5574	108	1	the	the	DET
cana-5574	108	2	hybrid	hybrid	ADJ
cana-5574	108	3	methodology	methodology	NOUN
cana-5574	108	4	is	be	AUX
cana-5574	108	5	verified	verify	VERB
cana-5574	108	6	by	by	ADP
cana-5574	108	7	doing	do	VERB
cana-5574	108	8	comparative	comparative	NOUN
cana-5574	108	9	benchmarking	benchmarke	VERB
cana-5574	108	10	against	against	ADP
cana-5574	108	11	established	establish	VERB
cana-5574	108	12	approaches	approach	NOUN
cana-5574	108	13	,	,	PUNCT
cana-5574	108	14	conducting	conduct	VERB
cana-5574	108	15	parameter	parameter	NOUN
cana-5574	108	16	sensitivity	sensitivity	NOUN
cana-5574	108	17	analysis	analysis	NOUN
cana-5574	108	18	in	in	ADP
cana-5574	108	19	order	order	NOUN
cana-5574	108	20	to	to	PART
cana-5574	108	21	identify	identify	VERB
cana-5574	108	22	bifurcation	bifurcation	NOUN
cana-5574	108	23	points	point	NOUN
cana-5574	108	24	,	,	PUNCT
cana-5574	108	25	and	and	CCONJ
cana-5574	108	26	conducting	conduct	VERB
cana-5574	108	27	stochastic	stochastic	ADJ
cana-5574	108	28	simulations	simulation	NOUN
cana-5574	108	29	in	in	ADP
cana-5574	108	30	order	order	NOUN
cana-5574	108	31	to	to	PART
cana-5574	108	32	evaluate	evaluate	VERB
cana-5574	108	33	resilience	resilience	NOUN
cana-5574	108	34	.	.	PUNCT
cana-5574	109	1	quantifying	quantify	VERB
cana-5574	109	2	polarization	polarization	NOUN
cana-5574	109	3	dynamics	dynamic	NOUN
cana-5574	109	4	using	use	VERB
cana-5574	109	5	measures	measure	NOUN
cana-5574	109	6	such	such	ADJ
cana-5574	109	7	as	as	ADP
cana-5574	109	8	lyapunov	lyapunov	ADJ
cana-5574	109	9	exponents	exponent	NOUN
cana-5574	109	10	and	and	CCONJ
cana-5574	109	11	mean	mean	VERB
cana-5574	109	12	polarization	polarization	NOUN
cana-5574	109	13	time	time	NOUN
cana-5574	109	14	,	,	PUNCT
cana-5574	109	15	the	the	DET
cana-5574	109	16	model	model	NOUN
cana-5574	109	17	,	,	PUNCT
cana-5574	109	18	which	which	PRON
cana-5574	109	19	was	be	AUX
cana-5574	109	20	implemented	implement	VERB
cana-5574	109	21	in	in	ADP
cana-5574	109	22	python	python	NOUN
cana-5574	109	23	using	use	VERB
cana-5574	109	24	scipy	scipy	NOUN
cana-5574	109	25	and	and	CCONJ
cana-5574	109	26	numpy	numpy	NOUN
cana-5574	109	27	,	,	PUNCT
cana-5574	109	28	bridges	bridge	VERB
cana-5574	109	29	the	the	DET
cana-5574	109	30	gap	gap	NOUN
cana-5574	109	31	between	between	ADP
cana-5574	109	32	theoretical	theoretical	ADJ
cana-5574	109	33	insights	insight	NOUN
cana-5574	109	34	and	and	CCONJ
cana-5574	109	35	practical	practical	ADJ
cana-5574	109	36	computing	computing	NOUN
cana-5574	109	37	efficiency	efficiency	NOUN
cana-5574	109	38	for	for	ADP
cana-5574	109	39	the	the	DET
cana-5574	109	40	purpose	purpose	NOUN
cana-5574	109	41	of	of	ADP
cana-5574	109	42	researching	research	VERB
cana-5574	109	43	echo	echo	NOUN
cana-5574	109	44	chambers	chamber	NOUN
cana-5574	109	45	in	in	ADP
cana-5574	109	46	the	the	DET
cana-5574	109	47	real	real	ADJ
cana-5574	109	48	world	world	NOUN
cana-5574	109	49	.	.	PUNCT
cana-5574	110	1	model	model	NOUN
cana-5574	110	2	formulation	formulation	NOUN
cana-5574	110	3	:	:	PUNCT
cana-5574	110	4	let	let	VERB
cana-5574	110	5	b(t	b(t	NOUN
cana-5574	110	6	)	)	PUNCT
cana-5574	110	7	represent	represent	VERB
cana-5574	110	8	the	the	DET
cana-5574	110	9	belief	belief	NOUN
cana-5574	110	10	strength	strength	NOUN
cana-5574	110	11	of	of	ADP
cana-5574	110	12	an	an	DET
cana-5574	110	13	individual	individual	NOUN
cana-5574	110	14	at	at	ADP
cana-5574	110	15	time	time	NOUN
cana-5574	110	16	t	t	PROPN
cana-5574	110	17	,	,	PUNCT
cana-5574	110	18	scaled	scale	VERB
cana-5574	110	19	such	such	ADJ
cana-5574	110	20	that	that	SCONJ
cana-5574	110	21	]	]	X
cana-5574	110	22	b(t)∈[−1,1	b(t)∈[−1,1	PROPN
cana-5574	110	23	]	]	PUNCT
cana-5574	110	24	,	,	PUNCT
cana-5574	110	25	where	where	SCONJ
cana-5574	110	26	1	1	NUM
cana-5574	110	27	denotes	denote	NOUN
cana-5574	110	28	extreme	extreme	ADJ
cana-5574	110	29	opposition	opposition	NOUN
cana-5574	110	30	and	and	CCONJ
cana-5574	110	31	+1	+1	ADJ
cana-5574	110	32	extreme	extreme	ADJ
cana-5574	110	33	support	support	NOUN
cana-5574	110	34	.	.	PUNCT
cana-5574	111	1	communications	communication	NOUN
cana-5574	111	2	on	on	ADP
cana-5574	111	3	applied	apply	VERB
cana-5574	111	4	nonlinear	nonlinear	ADJ
cana-5574	111	5	analysis	analysis	NOUN
cana-5574	111	6	issn	issn	NOUN
cana-5574	111	7	:	:	PUNCT
cana-5574	111	8	1074	1074	NUM
cana-5574	111	9	-	-	PUNCT
cana-5574	111	10	133x	133x	NUM
cana-5574	111	11	vol	vol	NOUN
cana-5574	111	12	28	28	NUM
cana-5574	111	13	no	no	NOUN
cana-5574	111	14	.	.	NOUN
cana-5574	111	15	4	4	NUM
cana-5574	111	16	(	(	PUNCT
cana-5574	111	17	2021	2021	NUM
cana-5574	111	18	)	)	PUNCT
cana-5574	111	19	110	110	NUM
cana-5574	111	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-5574	111	21	we	we	PRON
cana-5574	111	22	propose	propose	VERB
cana-5574	111	23	the	the	DET
cana-5574	111	24	following	follow	VERB
cana-5574	111	25	ode	ode	NOUN
cana-5574	111	26	to	to	PART
cana-5574	111	27	model	model	VERB
cana-5574	111	28	belief	belief	NOUN
cana-5574	111	29	evolution	evolution	NOUN
cana-5574	111	30	:	:	PUNCT
cana-5574	111	31	𝑑𝐵	𝑑𝐵	NOUN
cana-5574	111	32	𝑑𝑡	𝑑𝑡	ADP
cana-5574	111	33	=	=	PUNCT
cana-5574	111	34	𝛼	𝛼	PROPN
cana-5574	111	35	b(t	b(t	NOUN
cana-5574	111	36	)	)	PUNCT
cana-5574	111	37	[	[	PUNCT
cana-5574	111	38	1	1	X
cana-5574	111	39	–	–	PUNCT
cana-5574	111	40	b2(t	b2(t	PROPN
cana-5574	111	41	)	)	PUNCT
cana-5574	111	42	]	]	PUNCT
cana-5574	112	1	+	+	CCONJ
cana-5574	112	2	𝛽	𝛽	NOUN
cana-5574	112	3	i(t	i(t	NOUN
cana-5574	112	4	)	)	PUNCT
cana-5574	112	5	(	(	PUNCT
cana-5574	112	6	1	1	X
cana-5574	112	7	)	)	PUNCT
cana-5574	112	8	where	where	SCONJ
cana-5574	112	9	1	1	X
cana-5574	112	10	.	.	X
cana-5574	113	1	α	α	PROPN
cana-5574	113	2	is	be	AUX
cana-5574	113	3	the	the	DET
cana-5574	113	4	internal	internal	ADJ
cana-5574	113	5	reinforcement	reinforcement	NOUN
cana-5574	113	6	coefficient	coefficient	NOUN
cana-5574	113	7	due	due	ADP
cana-5574	113	8	to	to	ADP
cana-5574	113	9	the	the	DET
cana-5574	113	10	echo	echo	NOUN
cana-5574	113	11	chamber	chamber	NOUN
cana-5574	113	12	.	.	PUNCT
cana-5574	114	1	2	2	X
cana-5574	114	2	.	.	X
cana-5574	114	3	β	β	X
cana-5574	114	4	is	be	AUX
cana-5574	114	5	the	the	DET
cana-5574	114	6	susceptibility	susceptibility	NOUN
cana-5574	114	7	to	to	ADP
cana-5574	114	8	external	external	ADJ
cana-5574	114	9	influence	influence	NOUN
cana-5574	114	10	i(t	i(t	PROPN
cana-5574	114	11	)	)	PUNCT
cana-5574	114	12	,	,	PUNCT
cana-5574	114	13	representing	represent	VERB
cana-5574	114	14	stimuli	stimulus	NOUN
cana-5574	114	15	from	from	ADP
cana-5574	114	16	outside	outside	ADP
cana-5574	114	17	the	the	DET
cana-5574	114	18	chamber	chamber	NOUN
cana-5574	114	19	.	.	PUNCT
cana-5574	115	1	3	3	NUM
cana-5574	115	2	.	.	SYM
cana-5574	115	3	1	1	NUM
cana-5574	115	4	–	–	PUNCT
cana-5574	115	5	b2(t	b2(t	PROPN
cana-5574	115	6	)	)	PUNCT
cana-5574	115	7	limits	limit	VERB
cana-5574	115	8	growth	growth	NOUN
cana-5574	115	9	as	as	SCONJ
cana-5574	115	10	beliefs	belief	NOUN
cana-5574	115	11	saturate	saturate	VERB
cana-5574	115	12	toward	toward	ADP
cana-5574	115	13	extremism	extremism	NOUN
cana-5574	115	14	.	.	PUNCT
cana-5574	116	1	laplace	laplace	NOUN
cana-5574	116	2	transform	transform	VERB
cana-5574	116	3	analysis	analysis	NOUN
cana-5574	116	4	:	:	PUNCT
cana-5574	116	5	to	to	PART
cana-5574	116	6	analyze	analyze	VERB
cana-5574	116	7	system	system	NOUN
cana-5574	116	8	behavior	behavior	NOUN
cana-5574	116	9	,	,	PUNCT
cana-5574	116	10	we	we	PRON
cana-5574	116	11	take	take	VERB
cana-5574	116	12	the	the	DET
cana-5574	116	13	laplace	laplace	NOUN
cana-5574	116	14	transform	transform	NOUN
cana-5574	116	15	of	of	ADP
cana-5574	116	16	the	the	DET
cana-5574	116	17	ode	ode	NOUN
cana-5574	116	18	under	under	ADP
cana-5574	116	19	the	the	DET
cana-5574	116	20	assumption	assumption	NOUN
cana-5574	116	21	of	of	ADP
cana-5574	116	22	a	a	DET
cana-5574	116	23	linearized	linearize	VERB
cana-5574	116	24	form	form	NOUN
cana-5574	116	25	around	around	ADP
cana-5574	116	26	moderate	moderate	ADJ
cana-5574	116	27	belief	belief	NOUN
cana-5574	116	28	values	value	NOUN
cana-5574	116	29	:	:	PUNCT
cana-5574	116	30	𝑑𝐵	𝑑𝐵	NOUN
cana-5574	116	31	𝑑𝑡	𝑑𝑡	ADP
cana-5574	116	32	=	=	PUNCT
cana-5574	116	33	𝛼	𝛼	PROPN
cana-5574	116	34	b(t	b(t	NOUN
cana-5574	116	35	)	)	PUNCT
cana-5574	117	1	+	+	CCONJ
cana-5574	117	2	𝛽	𝛽	NOUN
cana-5574	117	3	i(t	i(t	NOUN
cana-5574	117	4	)	)	PUNCT
cana-5574	117	5	(	(	PUNCT
cana-5574	117	6	2	2	X
cana-5574	117	7	)	)	PUNCT
cana-5574	117	8	applying	apply	VERB
cana-5574	117	9	laplace	laplace	NOUN
cana-5574	117	10	transform	transform	NOUN
cana-5574	117	11	:	:	PUNCT
cana-5574	117	12	𝑠	𝑠	NUM
cana-5574	117	13	𝐵(𝑠	𝐵(𝑠	NOUN
cana-5574	117	14	)	)	PUNCT
cana-5574	117	15	b(0	b(0	PROPN
cana-5574	117	16	)	)	PUNCT
cana-5574	117	17	=	=	SYM
cana-5574	117	18	𝛼	𝛼	PRON
cana-5574	117	19	b(s	b(	NOUN
cana-5574	117	20	)	)	PUNCT
cana-5574	118	1	+	+	CCONJ
cana-5574	118	2	𝛽	𝛽	NOUN
cana-5574	118	3	i(s	i(s	NOUN
cana-5574	118	4	)	)	PUNCT
cana-5574	118	5	solving	solve	VERB
cana-5574	118	6	them	they	PRON
cana-5574	118	7	,	,	PUNCT
cana-5574	118	8	b(s	b(	NOUN
cana-5574	118	9	)	)	PUNCT
cana-5574	119	1	=	=	SYM
cana-5574	119	2	𝐵(0	𝐵(0	X
cana-5574	119	3	)	)	PUNCT
cana-5574	120	1	+	+	CCONJ
cana-5574	120	2	𝛽	𝛽	NOUN
cana-5574	120	3	𝐼(𝑠	𝐼(𝑠	NUM
cana-5574	120	4	)	)	PUNCT
cana-5574	120	5	𝑠−	𝑠−	PROPN
cana-5574	120	6	𝛼	𝛼	NOUN
cana-5574	120	7	the	the	DET
cana-5574	120	8	inverse	inverse	NOUN
cana-5574	120	9	transform	transform	NOUN
cana-5574	120	10	gives	give	VERB
cana-5574	120	11	insight	insight	NOUN
cana-5574	120	12	into	into	ADP
cana-5574	120	13	transient	transient	ADJ
cana-5574	120	14	and	and	CCONJ
cana-5574	120	15	steady	steady	ADJ
cana-5574	120	16	-	-	PUNCT
cana-5574	120	17	state	state	NOUN
cana-5574	120	18	behaviors	behavior	NOUN
cana-5574	120	19	,	,	PUNCT
cana-5574	120	20	revealing	reveal	VERB
cana-5574	120	21	how	how	SCONJ
cana-5574	120	22	external	external	ADJ
cana-5574	120	23	inputs	input	NOUN
cana-5574	120	24	and	and	CCONJ
cana-5574	120	25	initial	initial	ADJ
cana-5574	120	26	conditions	condition	NOUN
cana-5574	120	27	shape	shape	NOUN
cana-5574	120	28	belief	belief	NOUN
cana-5574	120	29	evolution	evolution	NOUN
cana-5574	120	30	over	over	ADP
cana-5574	120	31	time	time	NOUN
cana-5574	120	32	.	.	PUNCT
cana-5574	121	1	numerical	numerical	PROPN
cana-5574	121	2	simulation	simulation	PROPN
cana-5574	121	3	via	via	ADP
cana-5574	121	4	runge	runge	NOUN
cana-5574	121	5	-	-	PUNCT
cana-5574	121	6	kutta	kutta	NOUN
cana-5574	121	7	(	(	PUNCT
cana-5574	121	8	rk4	rk4	PROPN
cana-5574	121	9	):	):	PUNCT
cana-5574	121	10	the	the	DET
cana-5574	121	11	full	full	ADJ
cana-5574	121	12	nonlinear	nonlinear	ADJ
cana-5574	121	13	ode	ode	NOUN
cana-5574	121	14	is	be	AUX
cana-5574	121	15	solved	solve	VERB
cana-5574	121	16	numerically	numerically	ADV
cana-5574	121	17	using	use	VERB
cana-5574	121	18	the	the	DET
cana-5574	121	19	rk4	rk4	NOUN
cana-5574	121	20	method	method	NOUN
cana-5574	121	21	for	for	ADP
cana-5574	121	22	various	various	ADJ
cana-5574	121	23	initial	initial	ADJ
cana-5574	121	24	conditions	condition	NOUN
cana-5574	121	25	and	and	CCONJ
cana-5574	121	26	parameter	parameter	NOUN
cana-5574	121	27	values	value	NOUN
cana-5574	121	28	.	.	PUNCT
cana-5574	122	1	k1	k1	NOUN
cana-5574	122	2	=	=	SYM
cana-5574	123	1	h	h	NOUN
cana-5574	123	2	f	f	PROPN
cana-5574	123	3	(	(	PUNCT
cana-5574	123	4	tn	tn	PROPN
cana-5574	123	5	,	,	PUNCT
cana-5574	123	6	bn	bn	NOUN
cana-5574	123	7	)	)	PUNCT
cana-5574	123	8	(	(	PUNCT
cana-5574	123	9	3	3	X
cana-5574	123	10	)	)	PUNCT
cana-5574	123	11	k2	k2	NOUN
cana-5574	123	12	=	=	SYM
cana-5574	123	13	h	h	NOUN
cana-5574	123	14	f	f	PROPN
cana-5574	123	15	(	(	PUNCT
cana-5574	123	16	tn+	tn+	NOUN
cana-5574	123	17	h/2	h/2	X
cana-5574	123	18	,	,	PUNCT
cana-5574	123	19	bn+k1/2	bn+k1/2	PROPN
cana-5574	123	20	)	)	PUNCT
cana-5574	123	21	(	(	PUNCT
cana-5574	123	22	4	4	X
cana-5574	123	23	)	)	PUNCT
cana-5574	123	24	k3	k3	NOUN
cana-5574	123	25	=	=	NOUN
cana-5574	123	26	h	h	NOUN
cana-5574	123	27	f	f	PROPN
cana-5574	123	28	(	(	PUNCT
cana-5574	123	29	tn+	tn+	NOUN
cana-5574	123	30	h/2	h/2	X
cana-5574	123	31	,	,	PUNCT
cana-5574	123	32	b	b	NOUN
cana-5574	123	33	n+k2/2	n+k2/2	PROPN
cana-5574	123	34	)	)	PUNCT
cana-5574	123	35	(	(	PUNCT
cana-5574	123	36	5	5	X
cana-5574	123	37	)	)	PUNCT
cana-5574	123	38	k4	k4	NOUN
cana-5574	123	39	=	=	NOUN
cana-5574	123	40	h	h	NOUN
cana-5574	124	1	f	f	NOUN
cana-5574	124	2	(	(	PUNCT
cana-5574	124	3	tn+	tn+	NOUN
cana-5574	124	4	h/2	h/2	X
cana-5574	124	5	,	,	PUNCT
cana-5574	124	6	bn+k3	bn+k3	ADV
cana-5574	124	7	)	)	PUNCT
cana-5574	124	8	(	(	PUNCT
cana-5574	124	9	6	6	NUM
cana-5574	124	10	)	)	PUNCT
cana-5574	124	11	bn+1	bn+1	NOUN
cana-5574	124	12	=	=	NOUN
cana-5574	124	13	bn+1/6(k12k2	bn+1/6(k12k2	X
cana-5574	124	14	+	+	NOUN
cana-5574	124	15	2k3+k4	2k3+k4	NUM
cana-5574	124	16	)	)	PUNCT
cana-5574	124	17	(	(	PUNCT
cana-5574	124	18	7	7	X
cana-5574	124	19	)	)	PUNCT
cana-5574	124	20	problem	problem	NOUN
cana-5574	124	21	:	:	PUNCT
cana-5574	124	22	a	a	DET
cana-5574	124	23	young	young	ADJ
cana-5574	124	24	adult	adult	NOUN
cana-5574	124	25	starts	start	VERB
cana-5574	124	26	use	use	NOUN
cana-5574	124	27	of	of	ADP
cana-5574	124	28	a	a	DET
cana-5574	124	29	social	social	ADJ
cana-5574	124	30	media	medium	NOUN
cana-5574	124	31	network	network	NOUN
cana-5574	124	32	,	,	PUNCT
cana-5574	124	33	where	where	SCONJ
cana-5574	124	34	the	the	DET
cana-5574	124	35	algorithm	algorithm	NOUN
cana-5574	124	36	progressively	progressively	ADV
cana-5574	124	37	presents	present	VERB
cana-5574	124	38	material	material	NOUN
cana-5574	124	39	that	that	PRON
cana-5574	124	40	corresponds	correspond	VERB
cana-5574	124	41	with	with	ADP
cana-5574	124	42	their	their	PRON
cana-5574	124	43	prevailing	prevail	VERB
cana-5574	124	44	moderate	moderate	ADJ
cana-5574	124	45	political	political	ADJ
cana-5574	124	46	views	view	NOUN
cana-5574	124	47	.	.	PUNCT
cana-5574	125	1	over	over	ADP
cana-5574	125	2	time	time	NOUN
cana-5574	125	3	,	,	PUNCT
cana-5574	125	4	via	via	ADP
cana-5574	125	5	continual	continual	ADJ
cana-5574	125	6	reinforcement	reinforcement	NOUN
cana-5574	125	7	and	and	CCONJ
cana-5574	125	8	exposure	exposure	NOUN
cana-5574	125	9	to	to	ADP
cana-5574	125	10	biased	biased	ADJ
cana-5574	125	11	information	information	NOUN
cana-5574	125	12	,	,	PUNCT
cana-5574	125	13	their	their	PRON
cana-5574	125	14	conviction	conviction	NOUN
cana-5574	125	15	strengthens	strengthen	VERB
cana-5574	125	16	.	.	PUNCT
cana-5574	126	1	we	we	PRON
cana-5574	126	2	want	want	VERB
cana-5574	126	3	to	to	PART
cana-5574	126	4	model	model	VERB
cana-5574	126	5	how	how	SCONJ
cana-5574	126	6	their	their	PRON
cana-5574	126	7	political	political	ADJ
cana-5574	126	8	belief	belief	NOUN
cana-5574	126	9	shifts	shift	NOUN
cana-5574	126	10	over	over	ADP
cana-5574	126	11	time	time	NOUN
cana-5574	126	12	.	.	PUNCT
cana-5574	127	1	assumptions	assumption	NOUN
cana-5574	127	2	initial	initial	ADJ
cana-5574	127	3	belief	belief	NOUN
cana-5574	127	4	intensity	intensity	NOUN
cana-5574	127	5	:	:	PUNCT
cana-5574	127	6	b(0)=0.2b(0	b(0)=0.2b(0	PROPN
cana-5574	127	7	)	)	PUNCT
cana-5574	127	8	=	=	SYM
cana-5574	128	1	0.2b(0)=0.2	0.2b(0)=0.2	NUM
cana-5574	128	2	(	(	PUNCT
cana-5574	128	3	moderate	moderate	ADJ
cana-5574	128	4	)	)	PUNCT
cana-5574	128	5	echo	echo	PROPN
cana-5574	128	6	chamber	chamber	PROPN
cana-5574	128	7	reinforcement	reinforcement	NOUN
cana-5574	128	8	coefficient	coefficient	NOUN
cana-5574	128	9	:	:	PUNCT
cana-5574	128	10	α=3\alpha	α=3\alpha	NUM
cana-5574	128	11	=	=	SYM
cana-5574	128	12	3α=3	3α=3	NUM
cana-5574	128	13	minimal	minimal	ADJ
cana-5574	128	14	external	external	ADJ
cana-5574	128	15	stimuli	stimulus	NOUN
cana-5574	128	16	i(t)=0i(t	i(t)=0i(t	NOUN
cana-5574	128	17	)	)	PUNCT
cana-5574	128	18	=	=	SYM
cana-5574	128	19	0i(t)=0	0i(t)=0	NUM
cana-5574	129	1	(	(	PUNCT
cana-5574	129	2	algorithm	algorithm	NOUN
cana-5574	129	3	filters	filter	VERB
cana-5574	129	4	opposing	oppose	VERB
cana-5574	129	5	views	view	NOUN
cana-5574	129	6	)	)	PUNCT
cana-5574	129	7	time	time	NOUN
cana-5574	129	8	span	span	NOUN
cana-5574	129	9	:	:	PUNCT
cana-5574	129	10	0	0	NUM
cana-5574	129	11	to	to	PART
cana-5574	129	12	5	5	NUM
cana-5574	129	13	units	unit	NOUN
cana-5574	129	14	(	(	PUNCT
cana-5574	129	15	e.g.	e.g.	ADV
cana-5574	129	16	,	,	PUNCT
cana-5574	129	17	months	month	NOUN
cana-5574	129	18	)	)	PUNCT
cana-5574	129	19	.	.	PUNCT
cana-5574	130	1	mathematical	mathematical	ADJ
cana-5574	130	2	model	model	NOUN
cana-5574	130	3	:	:	PUNCT
cana-5574	130	4	communications	communication	NOUN
cana-5574	130	5	on	on	ADP
cana-5574	130	6	applied	apply	VERB
cana-5574	130	7	nonlinear	nonlinear	ADJ
cana-5574	130	8	analysis	analysis	NOUN
cana-5574	130	9	issn	issn	NOUN
cana-5574	130	10	:	:	PUNCT
cana-5574	130	11	1074	1074	NUM
cana-5574	130	12	-	-	PUNCT
cana-5574	130	13	133x	133x	NUM
cana-5574	130	14	vol	vol	NOUN
cana-5574	130	15	28	28	NUM
cana-5574	130	16	no	no	NOUN
cana-5574	130	17	.	.	NOUN
cana-5574	130	18	4	4	NUM
cana-5574	130	19	(	(	PUNCT
cana-5574	130	20	2021	2021	NUM
cana-5574	130	21	)	)	PUNCT
cana-5574	130	22	111	111	NUM
cana-5574	130	23	https://internationalpubls.com	https://internationalpubls.com	X
cana-5574	130	24	𝑑𝐵	𝑑𝐵	PROPN
cana-5574	130	25	𝑑𝑡	𝑑𝑡	ADP
cana-5574	130	26	=	=	PROPN
cana-5574	130	27	𝛼	𝛼	PROPN
cana-5574	130	28	b(t	b(t	NOUN
cana-5574	130	29	)	)	PUNCT
cana-5574	130	30	[	[	PUNCT
cana-5574	130	31	1	1	X
cana-5574	130	32	–	–	PUNCT
cana-5574	130	33	b2(t	b2(t	PROPN
cana-5574	130	34	)	)	PUNCT
cana-5574	130	35	]	]	PUNCT
cana-5574	131	1	+	+	CCONJ
cana-5574	131	2	𝛽	𝛽	NOUN
cana-5574	131	3	i(t	i(t	NOUN
cana-5574	131	4	)	)	PUNCT
cana-5574	131	5	since	since	SCONJ
cana-5574	131	6	i(t	i(t	NOUN
cana-5574	131	7	)	)	PUNCT
cana-5574	131	8	=	=	SYM
cana-5574	131	9	0	0	NUM
cana-5574	131	10	,	,	PUNCT
cana-5574	131	11	the	the	DET
cana-5574	131	12	equation	equation	NOUN
cana-5574	131	13	becomes	become	VERB
cana-5574	131	14	:	:	PUNCT
cana-5574	131	15	𝑑𝐵	𝑑𝐵	NOUN
cana-5574	131	16	𝑑𝑡	𝑑𝑡	ADP
cana-5574	131	17	=	=	SYM
cana-5574	131	18	3	3	NUM
cana-5574	131	19	b	b	PROPN
cana-5574	131	20	–	–	PUNCT
cana-5574	131	21	3	3	NUM
cana-5574	131	22	b3	b3	PROPN
cana-5574	131	23	analytical	analytical	ADJ
cana-5574	131	24	insight	insight	NOUN
cana-5574	131	25	with	with	ADP
cana-5574	131	26	laplace	laplace	NOUN
cana-5574	131	27	:	:	PUNCT
cana-5574	131	28	we	we	PRON
cana-5574	131	29	linearize	linearize	VERB
cana-5574	131	30	near	near	ADP
cana-5574	131	31	b	b	PROPN
cana-5574	131	32	=	=	SYM
cana-5574	131	33	0	0	PROPN
cana-5574	131	34	(	(	PUNCT
cana-5574	131	35	moderate	moderate	ADJ
cana-5574	131	36	view	view	NOUN
cana-5574	131	37	):	):	PUNCT
cana-5574	131	38	𝑑𝐵	𝑑𝐵	PROPN
cana-5574	131	39	𝑑𝑡	𝑑𝑡	ADP
cana-5574	131	40	≈	≈	PROPN
cana-5574	131	41	3	3	PROPN
cana-5574	131	42	b	b	NOUN
cana-5574	131	43	then	then	ADV
cana-5574	131	44	b	b	PROPN
cana-5574	131	45	(	(	PUNCT
cana-5574	131	46	t	t	PROPN
cana-5574	131	47	)	)	PUNCT
cana-5574	131	48	=	=	SYM
cana-5574	131	49	b(0	b(0	PROPN
cana-5574	131	50	)	)	PUNCT
cana-5574	131	51	𝑒3𝑡	𝑒3𝑡	PROPN
cana-5574	131	52	(	(	PUNCT
cana-5574	131	53	8)	8)	NUM
cana-5574	131	54	interpretation	interpretation	NOUN
cana-5574	131	55	:	:	PUNCT
cana-5574	132	1	b	b	X
cana-5574	132	2	(	(	PUNCT
cana-5574	132	3	t	t	PROPN
cana-5574	132	4	)	)	PUNCT
cana-5574	132	5	=	=	SYM
cana-5574	133	1	0.2	0.2	NUM
cana-5574	133	2	𝑒3𝑡	𝑒3𝑡	PROPN
cana-5574	133	3	at	at	ADP
cana-5574	133	4	t=0	t=0	PROPN
cana-5574	133	5	,	,	PUNCT
cana-5574	133	6	b=0.2	b=0.2	VERB
cana-5574	133	7	at	at	ADP
cana-5574	133	8	t=1	t=1	PROPN
cana-5574	133	9	,	,	PUNCT
cana-5574	133	10	b≈0.2	b≈0.2	PROPN
cana-5574	133	11	𝑒3≈4.02	𝑒3≈4.02	PROPN
cana-5574	133	12	→	→	PUNCT
cana-5574	133	13	exceeds	exceed	VERB
cana-5574	133	14	maximum	maximum	ADJ
cana-5574	133	15	belief	belief	NOUN
cana-5574	133	16	,	,	PUNCT
cana-5574	133	17	indicating	indicate	VERB
cana-5574	133	18	extremism	extremism	NOUN
cana-5574	133	19	.	.	PUNCT
cana-5574	134	1	we	we	PRON
cana-5574	134	2	apply	apply	VERB
cana-5574	134	3	the	the	DET
cana-5574	134	4	saturation	saturation	NOUN
cana-5574	134	5	model	model	NOUN
cana-5574	134	6	to	to	PART
cana-5574	134	7	cap	cap	VERB
cana-5574	134	8	belief	belief	NOUN
cana-5574	134	9	at	at	ADP
cana-5574	134	10	±1	±1	PROPN
cana-5574	134	11	.	.	PUNCT
cana-5574	134	12	runge	runge	NOUN
cana-5574	134	13	-	-	PUNCT
cana-5574	134	14	kutta	kutta	NOUN
cana-5574	134	15	(	(	PUNCT
cana-5574	134	16	rk4	rk4	NOUN
cana-5574	134	17	)	)	PUNCT
cana-5574	134	18	simulation	simulation	NOUN
cana-5574	134	19	:	:	PUNCT
cana-5574	134	20	𝑑𝐵	𝑑𝐵	PROPN
cana-5574	134	21	𝑑𝑡	𝑑𝑡	ADP
cana-5574	134	22	=	=	SYM
cana-5574	134	23	3	3	NUM
cana-5574	134	24	b	b	PROPN
cana-5574	134	25	–	–	PUNCT
cana-5574	134	26	3	3	NUM
cana-5574	134	27	b3	b3	NOUN
cana-5574	134	28	initial	initial	NOUN
cana-5574	134	29	:	:	PUNCT
cana-5574	134	30	b(0)=0.2	b(0)=0.2	NOUN
cana-5574	134	31	,	,	PUNCT
cana-5574	134	32	step	step	NOUN
cana-5574	134	33	h=0.1	h=0.1	NOUN
cana-5574	134	34	we	we	PRON
cana-5574	134	35	compute	compute	VERB
cana-5574	134	36	only	only	ADV
cana-5574	134	37	first	first	ADJ
cana-5574	134	38	step	step	NOUN
cana-5574	134	39	for	for	ADP
cana-5574	134	40	brevity	brevity	NOUN
cana-5574	134	41	:	:	PUNCT
cana-5574	134	42	f(b	f(b	X
cana-5574	134	43	)	)	PUNCT
cana-5574	134	44	=	=	SYM
cana-5574	134	45	3	3	NUM
cana-5574	134	46	b	b	X
cana-5574	134	47	–	–	PUNCT
cana-5574	134	48	3	3	NUM
cana-5574	134	49	b3	b3	PROPN
cana-5574	134	50	f(0.2	f(0.2	PROPN
cana-5574	134	51	)	)	PUNCT
cana-5574	134	52	=	=	PUNCT
cana-5574	134	53	0.576	0.576	NUM
cana-5574	134	54	k1	k1	NOUN
cana-5574	134	55	=	=	PUNCT
cana-5574	134	56	0.0576	0.0576	NUM
cana-5574	134	57	similarly	similarly	ADV
cana-5574	134	58	,	,	PUNCT
cana-5574	134	59	k2	k2	PROPN
cana-5574	134	60	≈	≈	PROPN
cana-5574	134	61	0.1⋅0.624	0.1⋅0.624	NOUN
cana-5574	134	62	k3	k3	VERB
cana-5574	134	63	≈	≈	PROPN
cana-5574	134	64	0.1⋅0.627	0.1⋅0.627	NOUN
cana-5574	134	65	k4	k4	NOUN
cana-5574	134	66	≈	≈	PROPN
cana-5574	134	67	0.1⋅(larger	0.1⋅(larger	PROPN
cana-5574	134	68	value	value	NOUN
cana-5574	134	69	)	)	PUNCT
cana-5574	134	70	.	.	PUNCT
cana-5574	135	1	approximate	approximate	PROPN
cana-5574	135	2	b(0.1)≈0.26	b(0.1)≈0.26	PROPN
cana-5574	135	3	,	,	PUNCT
cana-5574	135	4	showing	show	VERB
cana-5574	135	5	fast	fast	ADJ
cana-5574	135	6	growth	growth	NOUN
cana-5574	135	7	.	.	PUNCT
cana-5574	136	1	2	2	X
cana-5574	136	2	.	.	X
cana-5574	136	3	a	a	DET
cana-5574	136	4	person	person	NOUN
cana-5574	136	5	previously	previously	ADV
cana-5574	136	6	exposed	expose	VERB
cana-5574	136	7	to	to	ADP
cana-5574	136	8	only	only	ADV
cana-5574	136	9	one	one	NUM
cana-5574	136	10	viewpoint	viewpoint	NOUN
cana-5574	136	11	(	(	PUNCT
cana-5574	136	12	high	high	ADJ
cana-5574	136	13	belief	belief	NOUN
cana-5574	136	14	b=0.9b	b=0.9b	VERB
cana-5574	136	15	=	=	SYM
cana-5574	136	16	0.9b=0.9	0.9b=0.9	NOUN
cana-5574	136	17	)	)	PUNCT
cana-5574	136	18	begins	begin	VERB
cana-5574	136	19	participating	participate	VERB
cana-5574	136	20	in	in	ADP
cana-5574	136	21	open	open	ADJ
cana-5574	136	22	forums	forum	NOUN
cana-5574	136	23	where	where	SCONJ
cana-5574	136	24	diverse	diverse	ADJ
cana-5574	136	25	views	view	NOUN
cana-5574	136	26	are	be	AUX
cana-5574	136	27	shared	share	VERB
cana-5574	136	28	periodically	periodically	ADV
cana-5574	136	29	.	.	PUNCT
cana-5574	137	1	model	model	NOUN
cana-5574	137	2	:	:	PUNCT
cana-5574	137	3	𝑑𝐵	𝑑𝐵	NOUN
cana-5574	137	4	𝑑𝑡	𝑑𝑡	ADP
cana-5574	137	5	=	=	PUNCT
cana-5574	137	6	𝛼	𝛼	PROPN
cana-5574	137	7	b(t	b(t	NOUN
cana-5574	137	8	)	)	PUNCT
cana-5574	137	9	[	[	PUNCT
cana-5574	137	10	1	1	X
cana-5574	137	11	–	–	PUNCT
cana-5574	137	12	b2(t	b2(t	PROPN
cana-5574	137	13	)	)	PUNCT
cana-5574	137	14	]	]	PUNCT
cana-5574	138	1	+	+	CCONJ
cana-5574	138	2	𝛽	𝛽	X
cana-5574	138	3	sin	sin	NOUN
cana-5574	138	4	t	t	NOUN
cana-5574	138	5	where	where	SCONJ
cana-5574	138	6	:	:	PUNCT
cana-5574	138	7	𝛼	𝛼	X
cana-5574	138	8	=	=	NOUN
cana-5574	138	9	0.25	0.25	NUM
cana-5574	138	10	,	,	PUNCT
cana-5574	138	11	β=−1	β=−1	NUM
cana-5574	138	12	(	(	PUNCT
cana-5574	138	13	external	external	ADJ
cana-5574	138	14	influence	influence	NOUN
cana-5574	138	15	opposes	oppose	VERB
cana-5574	138	16	extremism	extremism	NOUN
cana-5574	138	17	)	)	PUNCT
cana-5574	138	18	communications	communication	NOUN
cana-5574	138	19	on	on	ADP
cana-5574	138	20	applied	apply	VERB
cana-5574	138	21	nonlinear	nonlinear	ADJ
cana-5574	138	22	analysis	analysis	NOUN
cana-5574	138	23	issn	issn	NOUN
cana-5574	138	24	:	:	PUNCT
cana-5574	138	25	1074	1074	NUM
cana-5574	138	26	-	-	PUNCT
cana-5574	138	27	133x	133x	NUM
cana-5574	138	28	vol	vol	NOUN
cana-5574	138	29	28	28	NUM
cana-5574	138	30	no	no	NOUN
cana-5574	138	31	.	.	NOUN
cana-5574	138	32	4	4	NUM
cana-5574	138	33	(	(	PUNCT
cana-5574	138	34	2021	2021	NUM
cana-5574	138	35	)	)	PUNCT
cana-5574	138	36	112	112	NUM
cana-5574	138	37	https://internationalpubls.com	https://internationalpubls.com	X
cana-5574	138	38	b(0)=0.9	b(0)=0.9	NOUN
cana-5574	138	39	.	.	PUNCT
cana-5574	139	1	by	by	ADP
cana-5574	139	2	solving	solve	VERB
cana-5574	139	3	same	same	ADJ
cana-5574	139	4	as	as	ADP
cana-5574	139	5	previous	previous	ADJ
cana-5574	139	6	,	,	PUNCT
cana-5574	139	7	running	run	VERB
cana-5574	139	8	rk4	rk4	NOUN
cana-5574	139	9	for	for	ADP
cana-5574	139	10	t=0	t=0	PROPN
cana-5574	139	11	,	,	PUNCT
cana-5574	139	12	t	t	NOUN
cana-5574	139	13	=	=	NUM
cana-5574	139	14	10	10	NUM
cana-5574	139	15	,	,	PUNCT
cana-5574	139	16	we	we	PRON
cana-5574	139	17	find	find	VERB
cana-5574	139	18	:	:	PUNCT
cana-5574	139	19	initially	initially	ADV
cana-5574	139	20	,	,	PUNCT
cana-5574	139	21	belief	belief	NOUN
cana-5574	139	22	dips	dip	VERB
cana-5574	139	23	slightly	slightly	ADV
cana-5574	139	24	as	as	SCONJ
cana-5574	139	25	counterpoints	counterpoint	NOUN
cana-5574	139	26	weaken	weaken	VERB
cana-5574	139	27	the	the	DET
cana-5574	139	28	extreme	extreme	ADJ
cana-5574	139	29	view	view	NOUN
cana-5574	139	30	.	.	PUNCT
cana-5574	140	1	as	as	ADP
cana-5574	140	2	sin(t	sin(t	PROPN
cana-5574	140	3	)	)	PUNCT
cana-5574	140	4	continues	continue	VERB
cana-5574	140	5	to	to	PART
cana-5574	140	6	oppose	oppose	VERB
cana-5574	140	7	strongly	strongly	ADV
cana-5574	140	8	-	-	PUNCT
cana-5574	140	9	held	hold	VERB
cana-5574	140	10	views	view	NOUN
cana-5574	140	11	,	,	PUNCT
cana-5574	140	12	belief	belief	NOUN
cana-5574	140	13	gradually	gradually	ADV
cana-5574	140	14	decreases	decrease	VERB
cana-5574	140	15	toward	toward	ADP
cana-5574	140	16	moderate	moderate	ADJ
cana-5574	140	17	b≈0.3	b≈0.3	PROPN
cana-5574	140	18	.	.	PUNCT
cana-5574	141	1	thus	thus	ADV
cana-5574	141	2	,	,	PUNCT
cana-5574	141	3	scenario	scenario	NOUN
cana-5574	141	4	initial	initial	ADJ
cana-5574	141	5	b(0	b(0	NOUN
cana-5574	141	6	)	)	PUNCT
cana-5574	141	7	α	α	PROPN
cana-5574	141	8	β	β	X
cana-5574	141	9	outcome	outcome	NOUN
cana-5574	141	10	repeated	repeat	VERB
cana-5574	141	11	exposure	exposure	NOUN
cana-5574	141	12	to	to	PART
cana-5574	141	13	bias	bias	VERB
cana-5574	141	14	0.2	0.2	NUM
cana-5574	141	15	3	3	NUM
cana-5574	141	16	0	0	NUM
cana-5574	141	17	extremism	extremism	NOUN
cana-5574	141	18	rapidly	rapidly	ADV
cana-5574	141	19	balanced	balanced	ADJ
cana-5574	141	20	counter	counter	NOUN
cana-5574	141	21	-	-	NOUN
cana-5574	141	22	dialogue	dialogue	NOUN
cana-5574	141	23	0.9	0.9	NUM
cana-5574	141	24	2.5	2.5	NUM
cana-5574	141	25	-1	-1	ADP
cana-5574	141	26	moderation	moderation	NOUN
cana-5574	141	27	possible	possible	ADJ
cana-5574	141	28	echo	echo	NOUN
cana-5574	141	29	chamber	chamber	NOUN
cana-5574	141	30	+	+	CCONJ
cana-5574	141	31	opposing	oppose	VERB
cana-5574	141	32	external	external	ADJ
cana-5574	141	33	views	view	NOUN
cana-5574	141	34	0.5	0.5	NUM
cana-5574	141	35	2	2	NUM
cana-5574	141	36	0.5	0.5	NUM
cana-5574	141	37	sin	sin	NOUN
cana-5574	141	38	t	t	NOUN
cana-5574	141	39	oscillating	oscillating	NOUN
cana-5574	141	40	belief	belief	NOUN
cana-5574	141	41	conclusion	conclusion	NOUN
cana-5574	141	42	:	:	PUNCT
cana-5574	141	43	the	the	DET
cana-5574	141	44	purpose	purpose	NOUN
cana-5574	141	45	of	of	ADP
cana-5574	141	46	this	this	DET
cana-5574	141	47	study	study	NOUN
cana-5574	141	48	is	be	AUX
cana-5574	141	49	to	to	PART
cana-5574	141	50	propose	propose	VERB
cana-5574	141	51	a	a	DET
cana-5574	141	52	unique	unique	ADJ
cana-5574	141	53	hybrid	hybrid	ADJ
cana-5574	141	54	mathematical	mathematical	ADJ
cana-5574	141	55	approach	approach	NOUN
cana-5574	141	56	to	to	ADP
cana-5574	141	57	understanding	understand	VERB
cana-5574	141	58	the	the	DET
cana-5574	141	59	dynamics	dynamic	NOUN
cana-5574	141	60	of	of	ADP
cana-5574	141	61	severe	severe	ADJ
cana-5574	141	62	belief	belief	NOUN
cana-5574	141	63	changes	change	NOUN
cana-5574	141	64	inside	inside	ADP
cana-5574	141	65	echo	echo	NOUN
cana-5574	141	66	chambers	chamber	NOUN
cana-5574	141	67	.	.	PUNCT
cana-5574	142	1	this	this	DET
cana-5574	142	2	technique	technique	NOUN
cana-5574	142	3	is	be	AUX
cana-5574	142	4	achieved	achieve	VERB
cana-5574	142	5	by	by	ADP
cana-5574	142	6	mixing	mix	VERB
cana-5574	142	7	ordinary	ordinary	ADJ
cana-5574	142	8	differential	differential	ADJ
cana-5574	142	9	equations	equation	NOUN
cana-5574	142	10	(	(	PUNCT
cana-5574	142	11	odes	ode	NOUN
cana-5574	142	12	)	)	PUNCT
cana-5574	142	13	,	,	PUNCT
cana-5574	142	14	laplace	laplace	NOUN
cana-5574	142	15	transforms	transform	VERB
cana-5574	142	16	,	,	PUNCT
cana-5574	142	17	and	and	CCONJ
cana-5574	142	18	the	the	DET
cana-5574	142	19	fourth	fourth	ADJ
cana-5574	142	20	-	-	PUNCT
cana-5574	142	21	order	order	NOUN
cana-5574	142	22	runge	runge	NOUN
cana-5574	142	23	-	-	PUNCT
cana-5574	142	24	kutta	kutta	NOUN
cana-5574	142	25	(	(	PUNCT
cana-5574	142	26	rk4	rk4	NOUN
cana-5574	142	27	)	)	PUNCT
cana-5574	142	28	numerical	numerical	ADJ
cana-5574	142	29	method	method	NOUN
cana-5574	142	30	.	.	PUNCT
cana-5574	143	1	by	by	ADP
cana-5574	143	2	using	use	VERB
cana-5574	143	3	both	both	CCONJ
cana-5574	143	4	analytical	analytical	ADJ
cana-5574	143	5	and	and	CCONJ
cana-5574	143	6	numerical	numerical	ADJ
cana-5574	143	7	modeling	modeling	NOUN
cana-5574	143	8	,	,	PUNCT
cana-5574	143	9	we	we	PRON
cana-5574	143	10	are	be	AUX
cana-5574	143	11	able	able	ADJ
cana-5574	143	12	to	to	PART
cana-5574	143	13	illustrate	illustrate	VERB
cana-5574	143	14	how	how	SCONJ
cana-5574	143	15	internal	internal	ADJ
cana-5574	143	16	reinforcement	reinforcement	NOUN
cana-5574	143	17	processes	process	NOUN
cana-5574	143	18	,	,	PUNCT
cana-5574	143	19	which	which	PRON
cana-5574	143	20	are	be	AUX
cana-5574	143	21	a	a	DET
cana-5574	143	22	feature	feature	NOUN
cana-5574	143	23	of	of	ADP
cana-5574	143	24	echo	echo	NOUN
cana-5574	143	25	chambers	chamber	NOUN
cana-5574	143	26	,	,	PUNCT
cana-5574	143	27	may	may	AUX
cana-5574	143	28	swiftly	swiftly	ADV
cana-5574	143	29	amplify	amplify	VERB
cana-5574	143	30	even	even	ADV
cana-5574	143	31	moderate	moderate	ADJ
cana-5574	143	32	beliefs	belief	NOUN
cana-5574	143	33	into	into	ADP
cana-5574	143	34	extreme	extreme	ADJ
cana-5574	143	35	stances	stance	NOUN
cana-5574	143	36	.	.	PUNCT
cana-5574	144	1	nonlinear	nonlinear	ADJ
cana-5574	144	2	rk4	rk4	PROPN
cana-5574	144	3	simulations	simulation	NOUN
cana-5574	144	4	capture	capture	VERB
cana-5574	144	5	more	more	ADV
cana-5574	144	6	realistic	realistic	ADJ
cana-5574	144	7	saturation	saturation	NOUN
cana-5574	144	8	effects	effect	NOUN
cana-5574	144	9	and	and	CCONJ
cana-5574	144	10	oscillatory	oscillatory	ADJ
cana-5574	144	11	impacts	impact	NOUN
cana-5574	144	12	from	from	ADP
cana-5574	144	13	external	external	ADJ
cana-5574	144	14	stimuli	stimulus	NOUN
cana-5574	144	15	,	,	PUNCT
cana-5574	144	16	but	but	CCONJ
cana-5574	144	17	linearized	linearized	ADJ
cana-5574	144	18	models	model	NOUN
cana-5574	144	19	revealed	reveal	VERB
cana-5574	144	20	exponential	exponential	ADJ
cana-5574	144	21	rise	rise	NOUN
cana-5574	144	22	in	in	ADP
cana-5574	144	23	belief	belief	NOUN
cana-5574	144	24	intensity	intensity	NOUN
cana-5574	144	25	under	under	ADP
cana-5574	144	26	continuous	continuous	ADJ
cana-5574	144	27	reinforcement	reinforcement	NOUN
cana-5574	144	28	.	.	PUNCT
cana-5574	145	1	linearized	linearize	VERB
cana-5574	145	2	models	model	NOUN
cana-5574	145	3	were	be	AUX
cana-5574	145	4	solved	solve	VERB
cana-5574	145	5	using	use	VERB
cana-5574	145	6	laplace	laplace	NOUN
cana-5574	145	7	transforms	transform	VERB
cana-5574	145	8	.	.	PUNCT
cana-5574	146	1	in	in	ADP
cana-5574	146	2	the	the	DET
cana-5574	146	3	absence	absence	NOUN
cana-5574	146	4	of	of	ADP
cana-5574	146	5	varied	varied	ADJ
cana-5574	146	6	input	input	NOUN
cana-5574	146	7	,	,	PUNCT
cana-5574	146	8	belief	belief	NOUN
cana-5574	146	9	trajectories	trajectory	NOUN
cana-5574	146	10	rapidly	rapidly	ADV
cana-5574	146	11	climb	climb	VERB
cana-5574	146	12	toward	toward	ADP
cana-5574	146	13	extremism	extremism	NOUN
cana-5574	146	14	,	,	PUNCT
cana-5574	146	15	but	but	CCONJ
cana-5574	146	16	persistent	persistent	ADJ
cana-5574	146	17	exposure	exposure	NOUN
cana-5574	146	18	to	to	ADP
cana-5574	146	19	opposing	oppose	VERB
cana-5574	146	20	ideas	idea	NOUN
cana-5574	146	21	may	may	AUX
cana-5574	146	22	slow	slow	VERB
cana-5574	146	23	and	and	CCONJ
cana-5574	146	24	reverse	reverse	VERB
cana-5574	146	25	this	this	DET
cana-5574	146	26	trajectory	trajectory	NOUN
cana-5574	146	27	.	.	PUNCT
cana-5574	147	1	this	this	PRON
cana-5574	147	2	is	be	AUX
cana-5574	147	3	shown	show	VERB
cana-5574	147	4	by	by	ADP
cana-5574	147	5	the	the	DET
cana-5574	147	6	reallife	reallife	NOUN
cana-5574	147	7	situations	situation	NOUN
cana-5574	147	8	that	that	PRON
cana-5574	147	9	were	be	AUX
cana-5574	147	10	modeled	model	VERB
cana-5574	147	11	.	.	PUNCT
cana-5574	148	1	at	at	ADP
cana-5574	148	2	the	the	DET
cana-5574	148	3	same	same	ADJ
cana-5574	148	4	time	time	NOUN
cana-5574	148	5	as	as	SCONJ
cana-5574	148	6	these	these	DET
cana-5574	148	7	results	result	NOUN
cana-5574	148	8	highlight	highlight	VERB
cana-5574	148	9	the	the	DET
cana-5574	148	10	crucial	crucial	ADJ
cana-5574	148	11	relevance	relevance	NOUN
cana-5574	148	12	of	of	ADP
cana-5574	148	13	balanced	balanced	ADJ
cana-5574	148	14	information	information	NOUN
cana-5574	148	15	environments	environment	NOUN
cana-5574	148	16	,	,	PUNCT
cana-5574	148	17	they	they	PRON
cana-5574	148	18	also	also	ADV
cana-5574	148	19	offer	offer	VERB
cana-5574	148	20	a	a	DET
cana-5574	148	21	mathematical	mathematical	ADJ
cana-5574	148	22	framework	framework	NOUN
cana-5574	148	23	for	for	ADP
cana-5574	148	24	the	the	DET
cana-5574	148	25	design	design	NOUN
cana-5574	148	26	of	of	ADP
cana-5574	148	27	interventions	intervention	NOUN
cana-5574	148	28	that	that	PRON
cana-5574	148	29	try	try	VERB
cana-5574	148	30	to	to	PART
cana-5574	148	31	mitigate	mitigate	VERB
cana-5574	148	32	polarization	polarization	NOUN
cana-5574	148	33	and	and	CCONJ
cana-5574	148	34	promote	promote	VERB
cana-5574	148	35	belief	belief	NOUN
cana-5574	148	36	moderation	moderation	NOUN
cana-5574	148	37	in	in	ADP
cana-5574	148	38	digital	digital	ADJ
cana-5574	148	39	and	and	CCONJ
cana-5574	148	40	social	social	ADJ
cana-5574	148	41	ecosystems	ecosystem	NOUN
cana-5574	148	42	.	.	PUNCT
cana-5574	149	1	references	reference	NOUN
cana-5574	149	2	:	:	PUNCT
cana-5574	150	1	[	[	X
cana-5574	150	2	1	1	NUM
cana-5574	150	3	]	]	PUNCT
cana-5574	150	4	fagioli	fagioli	NOUN
cana-5574	150	5	,	,	PUNCT
cana-5574	150	6	s.	s.	PROPN
cana-5574	150	7	,	,	PUNCT
cana-5574	150	8	&	&	CCONJ
cana-5574	150	9	radici	radici	PROPN
cana-5574	150	10	,	,	PUNCT
cana-5574	150	11	e.	e.	PROPN
cana-5574	150	12	(	(	PUNCT
cana-5574	150	13	2020	2020	NUM
cana-5574	150	14	)	)	PUNCT
cana-5574	150	15	,	,	PUNCT
cana-5574	150	16	april	april	PROPN
cana-5574	150	17	)	)	PUNCT
cana-5574	150	18	.	.	PUNCT
cana-5574	151	1	opinion	opinion	NOUN
cana-5574	151	2	formation	formation	NOUN
cana-5574	151	3	systems	system	NOUN
cana-5574	151	4	via	via	ADP
cana-5574	151	5	deterministic	deterministic	ADJ
cana-5574	151	6	particles	particle	NOUN
cana-5574	151	7	approximation	approximation	NOUN
cana-5574	151	8	[	[	X
cana-5574	151	9	preprint	preprint	NOUN
cana-5574	151	10	]	]	X
cana-5574	151	11	.	.	PUNCT
cana-5574	152	1	arxiv	arxiv	PROPN
cana-5574	152	2	.	.	PUNCT
cana-5574	153	1	[	[	X
cana-5574	153	2	2	2	NUM
cana-5574	153	3	]	]	X
cana-5574	153	4	chen	chen	PROPN
cana-5574	153	5	,	,	PUNCT
cana-5574	153	6	g.	g.	PROPN
cana-5574	153	7	,	,	PUNCT
cana-5574	153	8	su	su	PROPN
cana-5574	153	9	,	,	PUNCT
cana-5574	153	10	w.	w.	PROPN
cana-5574	153	11	,	,	PUNCT
cana-5574	153	12	ding	ding	NOUN
cana-5574	153	13	,	,	PUNCT
cana-5574	153	14	s.	s.	PROPN
cana-5574	153	15	,	,	PUNCT
cana-5574	153	16	&	&	CCONJ
cana-5574	153	17	hong	hong	PROPN
cana-5574	153	18	,	,	PUNCT
cana-5574	153	19	y.	y.	PROPN
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cana-5574	153	21	2019	2019	NUM
cana-5574	153	22	)	)	PUNCT
cana-5574	153	23	.	.	PUNCT
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cana-5574	154	2	hegselmann	hegselmann	PROPN
cana-5574	154	3	–	–	PUNCT
cana-5574	154	4	krause	krause	NOUN
cana-5574	154	5	dynamics	dynamic	NOUN
cana-5574	154	6	with	with	ADP
cana-5574	154	7	environment	environment	NOUN
cana-5574	154	8	and	and	CCONJ
cana-5574	154	9	communication	communication	NOUN
cana-5574	154	10	noise	noise	NOUN
cana-5574	154	11	.	.	PUNCT
cana-5574	155	1	ieee	ieee	NOUN
cana-5574	155	2	transactions	transaction	NOUN
cana-5574	155	3	on	on	ADP
cana-5574	155	4	automatic	automatic	ADJ
cana-5574	155	5	control	control	NOUN
cana-5574	155	6	,	,	PUNCT
cana-5574	155	7	65(8	65(8	NOUN
cana-5574	155	8	)	)	PUNCT
cana-5574	155	9	,	,	PUNCT
cana-5574	155	10	3409–3422	3409–3422	NUM
cana-5574	155	11	.	.	PUNCT
cana-5574	156	1	communications	communication	NOUN
cana-5574	156	2	on	on	ADP
cana-5574	156	3	applied	apply	VERB
cana-5574	156	4	nonlinear	nonlinear	ADJ
cana-5574	156	5	analysis	analysis	NOUN
cana-5574	156	6	issn	issn	NOUN
cana-5574	156	7	:	:	PUNCT
cana-5574	156	8	1074	1074	NUM
cana-5574	156	9	-	-	PUNCT
cana-5574	156	10	133x	133x	NUM
cana-5574	156	11	vol	vol	NOUN
cana-5574	156	12	28	28	NUM
cana-5574	156	13	no	no	NOUN
cana-5574	156	14	.	.	NOUN
cana-5574	156	15	4	4	NUM
cana-5574	156	16	(	(	PUNCT
cana-5574	156	17	2021	2021	NUM
cana-5574	156	18	)	)	PUNCT
cana-5574	156	19	113	113	NUM
cana-5574	156	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-5574	157	1	[	[	X
cana-5574	157	2	3	3	NUM
cana-5574	157	3	]	]	X
cana-5574	157	4	cheng	cheng	PROPN
cana-5574	157	5	,	,	PUNCT
cana-5574	157	6	c.	c.	PROPN
cana-5574	157	7	,	,	PUNCT
cana-5574	157	8	&	&	CCONJ
cana-5574	157	9	yu	yu	PROPN
cana-5574	157	10	,	,	PUNCT
cana-5574	157	11	c.	c.	PROPN
cana-5574	157	12	(	(	PUNCT
cana-5574	157	13	2019	2019	NUM
cana-5574	157	14	)	)	PUNCT
cana-5574	157	15	.	.	PUNCT
cana-5574	158	1	opinion	opinion	NOUN
cana-5574	158	2	dynamics	dynamic	NOUN
cana-5574	158	3	with	with	ADP
cana-5574	158	4	bounded	bounded	ADJ
cana-5574	158	5	confidence	confidence	NOUN
cana-5574	158	6	and	and	CCONJ
cana-5574	158	7	group	group	NOUN
cana-5574	158	8	pressure	pressure	NOUN
cana-5574	158	9	.	.	PUNCT
cana-5574	159	1	physica	physica	NOUN
cana-5574	159	2	a	a	DET
cana-5574	159	3	:	:	PUNCT
cana-5574	159	4	statistical	statistical	ADJ
cana-5574	159	5	mechanics	mechanic	NOUN
cana-5574	159	6	and	and	CCONJ
cana-5574	159	7	its	its	PRON
cana-5574	159	8	applications	application	NOUN
cana-5574	159	9	,	,	PUNCT
cana-5574	159	10	532	532	NUM
cana-5574	159	11	,	,	PUNCT
cana-5574	159	12	121900	121900	NUM
cana-5574	159	13	.	.	PUNCT
cana-5574	160	1	[	[	X
cana-5574	160	2	4	4	NUM
cana-5574	160	3	]	]	PUNCT
cana-5574	160	4	butcher	butcher	NOUN
cana-5574	160	5	,	,	PUNCT
cana-5574	160	6	j.	j.	PROPN
cana-5574	160	7	c.	c.	PROPN
cana-5574	160	8	(	(	PUNCT
cana-5574	160	9	2016	2016	NUM
cana-5574	160	10	)	)	PUNCT
cana-5574	160	11	.	.	PUNCT
cana-5574	161	1	numerical	numerical	ADJ
cana-5574	161	2	methods	method	NOUN
cana-5574	161	3	for	for	ADP
cana-5574	161	4	ordinary	ordinary	ADJ
cana-5574	161	5	differential	differential	ADJ
cana-5574	161	6	equations	equation	NOUN
cana-5574	161	7	(	(	PUNCT
cana-5574	161	8	3rd	3rd	ADJ
cana-5574	161	9	ed	ed	NOUN
cana-5574	161	10	.	.	PUNCT
cana-5574	161	11	)	)	PUNCT
cana-5574	161	12	.	.	PUNCT
cana-5574	162	1	wiley	wiley	PROPN
cana-5574	162	2	.	.	PUNCT
cana-5574	163	1	[	[	X
cana-5574	163	2	5	5	NUM
cana-5574	163	3	]	]	SYM
cana-5574	163	4	crooks	crook	NOUN
cana-5574	163	5	,	,	PUNCT
cana-5574	163	6	a.	a.	NOUN
cana-5574	163	7	t.	t.	PROPN
cana-5574	163	8	,	,	PUNCT
cana-5574	163	9	&	&	CCONJ
cana-5574	163	10	heppenstall	heppenstall	PROPN
cana-5574	163	11	,	,	PUNCT
cana-5574	163	12	a.	a.	PROPN
cana-5574	163	13	j.	j.	PROPN
cana-5574	163	14	(	(	PUNCT
cana-5574	163	15	2016	2016	NUM
cana-5574	163	16	)	)	PUNCT
cana-5574	163	17	.	.	PUNCT
cana-5574	164	1	introduction	introduction	NOUN
cana-5574	164	2	to	to	ADP
cana-5574	164	3	agent	agent	NOUN
cana-5574	164	4	-	-	PUNCT
cana-5574	164	5	based	base	VERB
cana-5574	164	6	modeling	modeling	NOUN
cana-5574	164	7	.	.	PUNCT
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cana-5574	165	2	b.	b.	PROPN
cana-5574	165	3	g.	g.	PROPN
cana-5574	165	4	l.	l.	PROPN
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cana-5574	165	8	l.	l.	PROPN
cana-5574	165	9	duggan	duggan	PROPN
cana-5574	165	10	(	(	PUNCT
cana-5574	165	11	eds	ed	NOUN
cana-5574	165	12	.	.	PUNCT
cana-5574	165	13	)	)	PUNCT
cana-5574	165	14	,	,	PUNCT
cana-5574	165	15	agent	agent	NOUN
cana-5574	165	16	-	-	PUNCT
cana-5574	165	17	based	base	VERB
cana-5574	165	18	models	model	NOUN
cana-5574	165	19	of	of	ADP
cana-5574	165	20	geographical	geographical	ADJ
cana-5574	165	21	systems	system	NOUN
cana-5574	165	22	(	(	PUNCT
cana-5574	165	23	pp	pp	ADJ
cana-5574	165	24	.	.	PUNCT
cana-5574	165	25	85	85	NUM
cana-5574	165	26	-	-	SYM
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cana-5574	165	28	)	)	PUNCT
cana-5574	165	29	.	.	PUNCT
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cana-5574	166	2	.	.	PUNCT
cana-5574	167	1	[	[	X
cana-5574	167	2	6	6	NUM
cana-5574	167	3	]	]	SYM
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cana-5574	167	5	,	,	PUNCT
cana-5574	167	6	p.	p.	PROPN
cana-5574	167	7	,	,	PUNCT
cana-5574	167	8	goel	goel	PROPN
cana-5574	167	9	,	,	PUNCT
cana-5574	167	10	a.	a.	PROPN
cana-5574	167	11	,	,	PUNCT
cana-5574	167	12	&	&	CCONJ
cana-5574	167	13	lee	lee	PROPN
cana-5574	167	14	,	,	PUNCT
cana-5574	167	15	d.	d.	PROPN
cana-5574	167	16	t.	t.	PROPN
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cana-5574	167	19	)	)	PUNCT
cana-5574	167	20	.	.	PUNCT
cana-5574	168	1	biased	biased	ADJ
cana-5574	168	2	assimilation	assimilation	NOUN
cana-5574	168	3	,	,	PUNCT
cana-5574	168	4	homophily	homophily	ADV
cana-5574	168	5	,	,	PUNCT
cana-5574	168	6	and	and	CCONJ
cana-5574	168	7	the	the	DET
cana-5574	168	8	dynamics	dynamic	NOUN
cana-5574	168	9	of	of	ADP
cana-5574	168	10	polarization	polarization	NOUN
cana-5574	168	11	.	.	PUNCT
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cana-5574	169	2	of	of	ADP
cana-5574	169	3	the	the	DET
cana-5574	169	4	national	national	PROPN
cana-5574	169	5	academy	academy	PROPN
cana-5574	169	6	of	of	ADP
cana-5574	169	7	sciences	sciences	PROPN
cana-5574	169	8	,	,	PUNCT
cana-5574	169	9	110(15	110(15	NUM
cana-5574	169	10	)	)	PUNCT
cana-5574	169	11	,	,	PUNCT
cana-5574	169	12	5791	5791	NUM
cana-5574	169	13	-	-	SYM
cana-5574	169	14	5796	5796	NUM
cana-5574	169	15	.	.	PUNCT
cana-5574	170	1	[	[	X
cana-5574	170	2	7	7	NUM
cana-5574	170	3	]	]	X
cana-5574	170	4	degroot	degroot	PROPN
cana-5574	170	5	,	,	PUNCT
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cana-5574	170	7	h.	h.	PROPN
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cana-5574	170	10	)	)	PUNCT
cana-5574	170	11	.	.	PUNCT
cana-5574	171	1	reaching	reach	VERB
cana-5574	171	2	a	a	DET
cana-5574	171	3	consensus	consensus	NOUN
cana-5574	171	4	.	.	PUNCT
cana-5574	172	1	journal	journal	NOUN
cana-5574	172	2	of	of	ADP
cana-5574	172	3	the	the	DET
cana-5574	172	4	american	american	PROPN
cana-5574	172	5	statistical	statistical	PROPN
cana-5574	172	6	association	association	NOUN
cana-5574	172	7	,	,	PUNCT
cana-5574	172	8	69(345	69(345	NOUN
cana-5574	172	9	)	)	PUNCT
cana-5574	172	10	,	,	PUNCT
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cana-5574	172	12	-	-	SYM
cana-5574	172	13	121	121	NUM
cana-5574	172	14	.	.	PUNCT
cana-5574	173	1	[	[	X
cana-5574	173	2	8	8	NUM
cana-5574	173	3	]	]	SYM
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cana-5574	173	5	,	,	PUNCT
cana-5574	173	6	a.	a.	NOUN
cana-5574	173	7	,	,	PUNCT
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cana-5574	173	9	,	,	PUNCT
cana-5574	173	10	m.	m.	NOUN
cana-5574	173	11	,	,	PUNCT
cana-5574	173	12	feliciani	feliciani	ADJ
cana-5574	173	13	,	,	PUNCT
cana-5574	173	14	t.	t.	PROPN
cana-5574	173	15	,	,	PUNCT
cana-5574	173	16	chattoe	chattoe	ADJ
cana-5574	173	17	-	-	PUNCT
cana-5574	173	18	brown	brown	PROPN
cana-5574	173	19	,	,	PUNCT
cana-5574	173	20	e.	e.	PROPN
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cana-5574	173	23	,	,	PUNCT
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cana-5574	173	25	,	,	PUNCT
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cana-5574	173	29	,	,	PUNCT
cana-5574	173	30	&	&	CCONJ
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cana-5574	173	32	,	,	PUNCT
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cana-5574	173	34	(	(	PUNCT
cana-5574	173	35	2017	2017	NUM
cana-5574	173	36	)	)	PUNCT
cana-5574	173	37	.	.	PUNCT
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cana-5574	174	5	:	:	PUNCT
cana-5574	174	6	towards	towards	ADP
cana-5574	174	7	the	the	DET
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cana-5574	174	10	.	.	PUNCT
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cana-5574	175	10	)	)	PUNCT
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cana-5574	176	3	]	]	X
cana-5574	176	4	hegselmann	hegselmann	PROPN
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cana-5574	176	7	,	,	PUNCT
cana-5574	176	8	&	&	CCONJ
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cana-5574	176	11	u.	u.	PROPN
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cana-5574	176	13	2002	2002	NUM
cana-5574	176	14	)	)	PUNCT
cana-5574	176	15	.	.	PUNCT
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cana-5574	177	2	dynamics	dynamic	NOUN
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cana-5574	177	4	bounded	bound	VERB
cana-5574	177	5	confidence	confidence	NOUN
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cana-5574	177	7	,	,	PUNCT
cana-5574	177	8	analysis	analysis	NOUN
cana-5574	177	9	,	,	PUNCT
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cana-5574	177	12	.	.	PUNCT
cana-5574	178	1	journal	journal	PROPN
cana-5574	178	2	of	of	ADP
cana-5574	178	3	artificial	artificial	ADJ
cana-5574	178	4	societies	society	NOUN
cana-5574	178	5	and	and	CCONJ
cana-5574	178	6	social	social	ADJ
cana-5574	178	7	simulation	simulation	NOUN
cana-5574	178	8	,	,	PUNCT
cana-5574	178	9	5(3	5(3	NUM
cana-5574	178	10	)	)	PUNCT
cana-5574	178	11	.	.	PUNCT
cana-5574	179	1	[	[	X
cana-5574	179	2	10	10	NUM
cana-5574	179	3	]	]	X
cana-5574	179	4	friedkin	friedkin	PROPN
cana-5574	179	5	,	,	PUNCT
cana-5574	179	6	n.	n.	PROPN
cana-5574	179	7	e.	e.	PROPN
cana-5574	179	8	,	,	PUNCT
cana-5574	179	9	&	&	CCONJ
cana-5574	179	10	johnsen	johnsen	PROPN
cana-5574	179	11	,	,	PUNCT
cana-5574	179	12	e.	e.	PROPN
cana-5574	179	13	c.	c.	PROPN
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cana-5574	179	16	)	)	PUNCT
cana-5574	179	17	.	.	PUNCT
cana-5574	180	1	social	social	ADJ
cana-5574	180	2	influence	influence	NOUN
cana-5574	180	3	and	and	CCONJ
cana-5574	180	4	opinions	opinion	NOUN
cana-5574	180	5	.	.	PUNCT
cana-5574	181	1	journal	journal	PROPN
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cana-5574	181	5	,	,	PUNCT
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cana-5574	181	7	-	-	SYM
cana-5574	181	8	4	4	NUM
cana-5574	181	9	)	)	PUNCT
cana-5574	181	10	,	,	PUNCT
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cana-5574	181	12	-	-	SYM
cana-5574	181	13	206	206	NUM
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cana-5574	182	1	[	[	X
cana-5574	182	2	11	11	NUM
cana-5574	182	3	]	]	SYM
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cana-5574	182	14	)	)	PUNCT
cana-5574	182	15	.	.	PUNCT
cana-5574	183	1	differentiation	differentiation	NOUN
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cana-5574	183	4	.	.	PUNCT
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cana-5574	184	3	-	-	NOUN
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cana-5574	184	9	influence	influence	NOUN
cana-5574	184	10	.	.	PUNCT
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cana-5574	185	5	)	)	PUNCT
cana-5574	185	6	,	,	PUNCT
cana-5574	185	7	e74516	e74516	PROPN
cana-5574	185	8	.	.	PUNCT
cana-5574	186	1	[	[	X
cana-5574	186	2	12	12	NUM
cana-5574	186	3	]	]	PUNCT
cana-5574	186	4	parsegov	parsegov	NOUN
cana-5574	186	5	,	,	PUNCT
cana-5574	186	6	s.	s.	PROPN
cana-5574	186	7	e.	e.	PROPN
cana-5574	186	8	,	,	PUNCT
cana-5574	186	9	proskurnikov	proskurnikov	PROPN
cana-5574	186	10	,	,	PUNCT
cana-5574	186	11	a.	a.	NOUN
cana-5574	186	12	v.	v.	PROPN
cana-5574	186	13	,	,	PUNCT
cana-5574	186	14	tempo	tempo	PROPN
cana-5574	186	15	,	,	PUNCT
cana-5574	186	16	r.	r.	PROPN
cana-5574	186	17	,	,	PUNCT
cana-5574	186	18	&	&	CCONJ
cana-5574	186	19	friedkin	friedkin	PROPN
cana-5574	186	20	,	,	PUNCT
cana-5574	186	21	n.	n.	PROPN
cana-5574	186	22	e.	e.	PROPN
cana-5574	186	23	(	(	PUNCT
cana-5574	186	24	2017	2017	NUM
cana-5574	186	25	)	)	PUNCT
cana-5574	186	26	.	.	PUNCT
cana-5574	187	1	novel	novel	ADJ
cana-5574	187	2	multidimensional	multidimensional	ADJ
cana-5574	187	3	models	model	NOUN
cana-5574	187	4	of	of	ADP
cana-5574	187	5	opinion	opinion	NOUN
cana-5574	187	6	dynamics	dynamic	NOUN
cana-5574	187	7	in	in	ADP
cana-5574	187	8	social	social	ADJ
cana-5574	187	9	networks	network	NOUN
cana-5574	187	10	.	.	PUNCT
cana-5574	188	1	ieee	ieee	NOUN
cana-5574	188	2	transactions	transaction	NOUN
cana-5574	188	3	on	on	ADP
cana-5574	188	4	automatic	automatic	ADJ
cana-5574	188	5	control	control	NOUN
cana-5574	188	6	,	,	PUNCT
cana-5574	188	7	62(5	62(5	NOUN
cana-5574	188	8	)	)	PUNCT
cana-5574	188	9	,	,	PUNCT
cana-5574	188	10	2270	2270	NUM
cana-5574	188	11	-	-	SYM
cana-5574	188	12	2285	2285	NUM
cana-5574	188	13	.	.	PUNCT
cana-5574	189	1	[	[	X
cana-5574	189	2	13	13	NUM
cana-5574	189	3	]	]	SYM
cana-5574	189	4	pineda	pineda	PROPN
cana-5574	189	5	,	,	PUNCT
cana-5574	189	6	m.	m.	NOUN
cana-5574	189	7	,	,	PUNCT
cana-5574	189	8	toral	toral	PROPN
cana-5574	189	9	,	,	PUNCT
cana-5574	189	10	r.	r.	PROPN
cana-5574	189	11	,	,	PUNCT
cana-5574	189	12	&	&	CCONJ
cana-5574	189	13	hernández	hernández	PROPN
cana-5574	189	14	-	-	PUNCT
cana-5574	189	15	garcía	garcía	PROPN
cana-5574	189	16	,	,	PUNCT
cana-5574	189	17	e.	e.	PROPN
cana-5574	189	18	(	(	PUNCT
cana-5574	189	19	2018	2018	NUM
cana-5574	189	20	)	)	PUNCT
cana-5574	189	21	.	.	PUNCT
cana-5574	190	1	noisy	noisy	ADJ
cana-5574	190	2	continuous	continuous	ADJ
cana-5574	190	3	-	-	PUNCT
cana-5574	190	4	opinion	opinion	NOUN
cana-5574	190	5	dynamics	dynamic	NOUN
cana-5574	190	6	.	.	PUNCT
cana-5574	191	1	journal	journal	NOUN
cana-5574	191	2	of	of	ADP
cana-5574	191	3	statistical	statistical	ADJ
cana-5574	191	4	mechanics	mechanic	NOUN
cana-5574	191	5	:	:	PUNCT
cana-5574	191	6	theory	theory	NOUN
cana-5574	191	7	and	and	CCONJ
cana-5574	191	8	experiment	experiment	NOUN
cana-5574	191	9	,	,	PUNCT
cana-5574	191	10	2018(4	2018(4	NUM
cana-5574	191	11	)	)	PUNCT
cana-5574	191	12	,	,	PUNCT
cana-5574	191	13	043403	043403	NUM
cana-5574	191	14	.	.	PUNCT
cana-5574	192	1	[	[	X
cana-5574	192	2	14	14	NUM
cana-5574	192	3	]	]	X
cana-5574	192	4	sobkowicz	sobkowicz	NOUN
cana-5574	192	5	,	,	PUNCT
cana-5574	192	6	p.	p.	NOUN
cana-5574	192	7	(	(	PUNCT
cana-5574	192	8	2016	2016	NUM
cana-5574	192	9	)	)	PUNCT
cana-5574	192	10	.	.	PUNCT
cana-5574	193	1	quantitative	quantitative	ADJ
cana-5574	193	2	agent	agent	NOUN
cana-5574	193	3	based	base	VERB
cana-5574	193	4	model	model	NOUN
cana-5574	193	5	of	of	ADP
cana-5574	193	6	opinion	opinion	NOUN
cana-5574	193	7	dynamics	dynamic	NOUN
cana-5574	193	8	:	:	PUNCT
cana-5574	193	9	polish	polish	ADJ
cana-5574	193	10	elections	election	NOUN
cana-5574	193	11	of	of	ADP
cana-5574	193	12	2015	2015	NUM
cana-5574	193	13	.	.	PUNCT
cana-5574	194	1	plos	plos	PROPN
cana-5574	194	2	one	one	NUM
cana-5574	194	3	,	,	PUNCT
cana-5574	194	4	11(5	11(5	NUM
cana-5574	194	5	)	)	PUNCT
cana-5574	194	6	,	,	PUNCT
cana-5574	194	7	e0155098	e0155098	PROPN
cana-5574	194	8	.	.	PUNCT
cana-5574	195	1	[	[	X
cana-5574	195	2	15	15	NUM
cana-5574	195	3	]	]	X
cana-5574	195	4	bakshy	bakshy	PROPN
cana-5574	195	5	,	,	PUNCT
cana-5574	195	6	e.	e.	PROPN
cana-5574	195	7	,	,	PUNCT
cana-5574	195	8	messing	messing	NOUN
cana-5574	195	9	,	,	PUNCT
cana-5574	195	10	s.	s.	PROPN
cana-5574	195	11	,	,	PUNCT
cana-5574	195	12	&	&	CCONJ
cana-5574	195	13	adamic	adamic	PROPN
cana-5574	195	14	,	,	PUNCT
cana-5574	195	15	l.	l.	PROPN
cana-5574	195	16	a.	a.	PROPN
cana-5574	195	17	(	(	PUNCT
cana-5574	195	18	2015	2015	NUM
cana-5574	195	19	)	)	PUNCT
cana-5574	195	20	.	.	PUNCT
cana-5574	196	1	exposure	exposure	NOUN
cana-5574	196	2	to	to	PART
cana-5574	196	3	ideologically	ideologically	ADV
cana-5574	196	4	diverse	diverse	VERB
cana-5574	196	5	news	news	NOUN
cana-5574	196	6	and	and	CCONJ
cana-5574	196	7	opinion	opinion	NOUN
cana-5574	196	8	on	on	ADP
cana-5574	196	9	facebook	facebook	PROPN
cana-5574	196	10	.	.	PUNCT
cana-5574	197	1	science	science	NOUN
cana-5574	197	2	,	,	PUNCT
cana-5574	197	3	348(6239	348(6239	NUM
cana-5574	197	4	)	)	PUNCT
cana-5574	197	5	,	,	PUNCT
cana-5574	197	6	1130–1132	1130–1132	NUM
cana-5574	197	7	.	.	PUNCT
cana-5574	198	1	[	[	X
cana-5574	198	2	16	16	NUM
cana-5574	198	3	]	]	X
cana-5574	198	4	barberá	barberá	NOUN
cana-5574	198	5	,	,	PUNCT
cana-5574	198	6	p.	p.	PROPN
cana-5574	198	7	,	,	PUNCT
cana-5574	198	8	jost	jost	PROPN
cana-5574	198	9	,	,	PUNCT
cana-5574	198	10	j.	j.	PROPN
cana-5574	198	11	t.	t.	PROPN
cana-5574	198	12	,	,	PUNCT
cana-5574	198	13	nagler	nagler	NOUN
cana-5574	198	14	,	,	PUNCT
cana-5574	198	15	j.	j.	PROPN
cana-5574	198	16	,	,	PUNCT
cana-5574	198	17	tucker	tucker	PROPN
cana-5574	198	18	,	,	PUNCT
cana-5574	198	19	j.	j.	PROPN
cana-5574	198	20	a.	a.	PROPN
cana-5574	198	21	,	,	PUNCT
cana-5574	198	22	&	&	CCONJ
cana-5574	198	23	bonneau	bonneau	PROPN
cana-5574	198	24	,	,	PUNCT
cana-5574	198	25	r.	r.	PROPN
cana-5574	198	26	(	(	PUNCT
cana-5574	198	27	2015	2015	NUM
cana-5574	198	28	)	)	PUNCT
cana-5574	198	29	.	.	PUNCT
cana-5574	199	1	tweeting	tweet	VERB
cana-5574	199	2	from	from	ADP
cana-5574	199	3	left	left	NOUN
cana-5574	199	4	to	to	ADP
cana-5574	199	5	right	right	NOUN
cana-5574	199	6	:	:	PUNCT
cana-5574	199	7	is	be	AUX
cana-5574	199	8	online	online	ADJ
cana-5574	199	9	political	political	ADJ
cana-5574	199	10	communication	communication	NOUN
cana-5574	199	11	more	more	ADJ
cana-5574	199	12	than	than	ADP
cana-5574	199	13	an	an	DET
cana-5574	199	14	echo	echo	NOUN
cana-5574	199	15	chamber	chamber	NOUN
cana-5574	199	16	?	?	PUNCT
cana-5574	200	1	psychological	psychological	ADJ
cana-5574	200	2	science	science	NOUN
cana-5574	200	3	,	,	PUNCT
cana-5574	200	4	26(10	26(10	NUM
cana-5574	200	5	)	)	PUNCT
cana-5574	200	6	,	,	PUNCT
cana-5574	200	7	1531–1542	1531–1542	NUM
cana-5574	200	8	.	.	PUNCT
cana-5574	201	1	[	[	X
cana-5574	201	2	17	17	NUM
cana-5574	201	3	]	]	PUNCT
cana-5574	201	4	butcher	butcher	NOUN
cana-5574	201	5	,	,	PUNCT
cana-5574	201	6	j.	j.	PROPN
cana-5574	201	7	c.	c.	PROPN
cana-5574	201	8	(	(	PUNCT
cana-5574	201	9	2003	2003	NUM
cana-5574	201	10	)	)	PUNCT
cana-5574	201	11	.	.	PUNCT
cana-5574	202	1	numerical	numerical	ADJ
cana-5574	202	2	methods	method	NOUN
cana-5574	202	3	for	for	ADP
cana-5574	202	4	ordinary	ordinary	ADJ
cana-5574	202	5	differential	differential	ADJ
cana-5574	202	6	equations	equation	NOUN
cana-5574	202	7	.	.	PUNCT
cana-5574	203	1	john	john	PROPN
cana-5574	203	2	wiley	wiley	PROPN
cana-5574	203	3	&	&	CCONJ
cana-5574	203	4	sons	son	NOUN
cana-5574	203	5	..	..	PUNCT
cana-5574	204	1	[	[	X
cana-5574	204	2	18	18	NUM
cana-5574	204	3	]	]	SYM
cana-5574	204	4	festinger	festinger	NOUN
cana-5574	204	5	,	,	PUNCT
cana-5574	204	6	l.	l.	PROPN
cana-5574	204	7	(	(	PUNCT
cana-5574	204	8	1957	1957	NUM
cana-5574	204	9	)	)	PUNCT
cana-5574	204	10	.	.	PUNCT
cana-5574	205	1	a	a	DET
cana-5574	205	2	theory	theory	NOUN
cana-5574	205	3	of	of	ADP
cana-5574	205	4	cognitive	cognitive	ADJ
cana-5574	205	5	dissonance	dissonance	NOUN
cana-5574	205	6	.	.	PUNCT
cana-5574	206	1	stanford	stanford	PROPN
cana-5574	206	2	university	university	PROPN
cana-5574	206	3	press	press	NOUN
cana-5574	206	4	.	.	PUNCT
cana-5574	207	1	[	[	X
cana-5574	207	2	19	19	NUM
cana-5574	207	3	]	]	X
cana-5574	207	4	lorenz	lorenz	PROPN
cana-5574	207	5	,	,	PUNCT
cana-5574	207	6	j.	j.	PROPN
cana-5574	207	7	(	(	PUNCT
cana-5574	207	8	2007	2007	NUM
cana-5574	207	9	)	)	PUNCT
cana-5574	207	10	.	.	PUNCT
cana-5574	208	1	continuous	continuous	ADJ
cana-5574	208	2	opinion	opinion	NOUN
cana-5574	208	3	dynamics	dynamic	NOUN
cana-5574	208	4	under	under	ADP
cana-5574	208	5	bounded	bounded	ADJ
cana-5574	208	6	confidence	confidence	NOUN
cana-5574	208	7	:	:	PUNCT
cana-5574	208	8	a	a	DET
cana-5574	208	9	survey	survey	NOUN
cana-5574	208	10	.	.	PUNCT
cana-5574	209	1	international	international	ADJ
cana-5574	209	2	journal	journal	NOUN
cana-5574	209	3	of	of	ADP
cana-5574	209	4	modern	modern	ADJ
cana-5574	209	5	physics	physic	NOUN
cana-5574	209	6	c	c	NOUN
cana-5574	209	7	,	,	PUNCT
cana-5574	209	8	18(12	18(12	NUM
cana-5574	209	9	)	)	PUNCT
cana-5574	209	10	,	,	PUNCT
cana-5574	209	11	1819–1838	1819–1838	NUM
cana-5574	209	12	.	.	PUNCT
cana-5574	210	1	[	[	X
cana-5574	210	2	20	20	NUM
cana-5574	210	3	]	]	X
cana-5574	210	4	ogata	ogata	PROPN
cana-5574	210	5	,	,	PUNCT
cana-5574	210	6	k.	k.	PROPN
cana-5574	210	7	(	(	PUNCT
cana-5574	210	8	2010	2010	NUM
cana-5574	210	9	)	)	PUNCT
cana-5574	210	10	.	.	PUNCT
cana-5574	211	1	modern	modern	ADJ
cana-5574	211	2	control	control	NOUN
cana-5574	211	3	engineering	engineering	NOUN
cana-5574	211	4	(	(	PUNCT
cana-5574	211	5	5th	5th	ADJ
cana-5574	211	6	ed	ed	NOUN
cana-5574	211	7	.	.	PUNCT
cana-5574	211	8	)	)	PUNCT
cana-5574	211	9	.	.	PUNCT
cana-5574	212	1	prentice	prentice	PROPN
cana-5574	212	2	hall	hall	PROPN
cana-5574	212	3	.	.	PUNCT
cana-5574	213	1	[	[	X
cana-5574	213	2	21	21	NUM
cana-5574	213	3	]	]	X
cana-5574	213	4	sobkowicz	sobkowicz	NOUN
cana-5574	213	5	,	,	PUNCT
cana-5574	213	6	p.	p.	NOUN
cana-5574	213	7	(	(	PUNCT
cana-5574	213	8	2009	2009	NUM
cana-5574	213	9	)	)	PUNCT
cana-5574	213	10	.	.	PUNCT
cana-5574	214	1	modelling	model	VERB
cana-5574	214	2	opinion	opinion	NOUN
cana-5574	214	3	formation	formation	NOUN
cana-5574	214	4	with	with	ADP
cana-5574	214	5	physics	physics	NOUN
cana-5574	214	6	tools	tool	NOUN
cana-5574	214	7	:	:	PUNCT
cana-5574	214	8	call	call	VERB
cana-5574	214	9	for	for	ADP
cana-5574	214	10	closer	close	ADJ
cana-5574	214	11	link	link	NOUN
cana-5574	214	12	with	with	ADP
cana-5574	214	13	reality	reality	NOUN
cana-5574	214	14	.	.	PUNCT
cana-5574	215	1	journal	journal	NOUN
cana-5574	215	2	of	of	ADP
cana-5574	215	3	artificial	artificial	ADJ
cana-5574	215	4	societies	society	NOUN
cana-5574	215	5	and	and	CCONJ
cana-5574	215	6	social	social	ADJ
cana-5574	215	7	simulation	simulation	NOUN
cana-5574	215	8	,	,	PUNCT
cana-5574	215	9	12(1	12(1	NUM
cana-5574	215	10	)	)	PUNCT
cana-5574	215	11	.	.	PUNCT
cana-5574	216	1	[	[	X
cana-5574	216	2	22	22	NUM
cana-5574	216	3	]	]	X
cana-5574	216	4	sunstein	sunstein	PROPN
cana-5574	216	5	,	,	PUNCT
cana-5574	216	6	c.	c.	PROPN
cana-5574	216	7	r.	r.	PROPN
cana-5574	216	8	(	(	PUNCT
cana-5574	216	9	2001	2001	NUM
cana-5574	216	10	)	)	PUNCT
cana-5574	216	11	.	.	PUNCT
cana-5574	217	1	republic.com	republic.com	X
cana-5574	217	2	.	.	PROPN
cana-5574	217	3	princeton	princeton	PROPN
cana-5574	217	4	university	university	PROPN
cana-5574	217	5	press	press	NOUN
cana-5574	217	6	.	.	PUNCT
cana-5574	218	1	[	[	X
cana-5574	218	2	23	23	NUM
cana-5574	218	3	]	]	X
cana-5574	218	4	zhao	zhao	PROPN
cana-5574	218	5	,	,	PUNCT
cana-5574	218	6	j.	j.	PROPN
cana-5574	218	7	,	,	PUNCT
cana-5574	218	8	wu	wu	PROPN
cana-5574	218	9	,	,	PUNCT
cana-5574	218	10	j.	j.	PROPN
cana-5574	218	11	,	,	PUNCT
cana-5574	218	12	&	&	CCONJ
cana-5574	218	13	xu	xu	PROPN
cana-5574	218	14	,	,	PUNCT
cana-5574	218	15	k.	k.	PROPN
cana-5574	218	16	(	(	PUNCT
cana-5574	218	17	2013	2013	NUM
cana-5574	218	18	)	)	PUNCT
cana-5574	218	19	.	.	PUNCT
cana-5574	219	1	weak	weak	ADJ
cana-5574	219	2	ties	tie	NOUN
cana-5574	219	3	:	:	PUNCT
cana-5574	219	4	subtle	subtle	ADJ
cana-5574	219	5	role	role	NOUN
cana-5574	219	6	in	in	ADP
cana-5574	219	7	the	the	DET
cana-5574	219	8	diffusion	diffusion	NOUN
cana-5574	219	9	of	of	ADP
cana-5574	219	10	information	information	NOUN
cana-5574	219	11	on	on	ADP
cana-5574	219	12	social	social	ADJ
cana-5574	219	13	media	medium	NOUN
cana-5574	219	14	.	.	PUNCT
cana-5574	220	1	physical	physical	ADJ
cana-5574	220	2	review	review	PROPN
cana-5574	220	3	e	e	NOUN
cana-5574	220	4	,	,	PUNCT
cana-5574	220	5	88(1	88(1	NOUN
cana-5574	220	6	)	)	PUNCT
cana-5574	220	7	,	,	PUNCT
cana-5574	220	8	012818	012818	NUM
cana-5574	220	9	.	.	PUNCT