id	sid	tid	token	lemma	pos
bibechana-72570	1	1	bibechana	bibechana	PROPN
bibechana-72570	1	2	vol	vol	NOUN
bibechana-72570	1	3	.	.	PROPN
bibechana-72570	2	1	22	22	NUM
bibechana-72570	2	2	,	,	PUNCT
bibechana-72570	2	3	no	no	INTJ
bibechana-72570	2	4	.	.	NOUN
bibechana-72570	2	5	2	2	NUM
bibechana-72570	2	6	,	,	PUNCT
bibechana-72570	2	7	august	august	NOUN
bibechana-72570	2	8	2025	2025	NUM
bibechana-72570	2	9	,	,	PUNCT
bibechana-72570	2	10	116	116	NUM
bibechana-72570	2	11	-	-	SYM
bibechana-72570	2	12	121	121	NUM
bibechana-72570	2	13	issn	issn	PROPN
bibechana-72570	2	14	2091	2091	NUM
bibechana-72570	2	15	-	-	SYM
bibechana-72570	2	16	0762	0762	NUM
bibechana-72570	2	17	(	(	PUNCT
bibechana-72570	2	18	print	print	NOUN
bibechana-72570	2	19	)	)	PUNCT
bibechana-72570	2	20	,	,	PUNCT
bibechana-72570	2	21	2382	2382	NUM
bibechana-72570	2	22	-	-	SYM
bibechana-72570	2	23	5340	5340	NUM
bibechana-72570	2	24	(	(	PUNCT
bibechana-72570	2	25	online	online	ADJ
bibechana-72570	2	26	)	)	PUNCT
bibechana-72570	2	27	journal	journal	NOUN
bibechana-72570	2	28	homepage	homepage	NOUN
bibechana-72570	2	29	:	:	PUNCT
bibechana-72570	3	1	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-72570	3	2	publisher	publisher	NOUN
bibechana-72570	3	3	:	:	PUNCT
bibechana-72570	3	4	dept	dept	NOUN
bibechana-72570	3	5	.	.	PROPN
bibechana-72570	3	6	of	of	ADP
bibechana-72570	3	7	phys	phy	NOUN
bibechana-72570	3	8	.	.	PUNCT
bibechana-72570	3	9	,	,	PUNCT
bibechana-72570	3	10	mahendra	mahendra	PROPN
bibechana-72570	3	11	morang	morang	PROPN
bibechana-72570	3	12	a.	a.	PROPN
bibechana-72570	3	13	m.	m.	PROPN
bibechana-72570	3	14	campus	campus	PROPN
bibechana-72570	3	15	(	(	PUNCT
bibechana-72570	3	16	tribhuvan	tribhuvan	NOUN
bibechana-72570	3	17	university)biratnagar	university)biratnagar	PRON
bibechana-72570	3	18	from	from	ADP
bibechana-72570	3	19	linear	linear	ADJ
bibechana-72570	3	20	to	to	ADP
bibechana-72570	3	21	non	non	ADJ
bibechana-72570	3	22	-	-	ADJ
bibechana-72570	3	23	linear	linear	ADJ
bibechana-72570	3	24	/	/	SYM
bibechana-72570	3	25	chaotic	chaotic	ADJ
bibechana-72570	3	26	pendulum	pendulum	NOUN
bibechana-72570	3	27	:	:	PUNCT
bibechana-72570	3	28	a	a	DET
bibechana-72570	3	29	computational	computational	ADJ
bibechana-72570	3	30	study	study	NOUN
bibechana-72570	3	31	chhabi	chhabi	PROPN
bibechana-72570	3	32	kumar	kumar	PROPN
bibechana-72570	3	33	shrestha1,2	shrestha1,2	PROPN
bibechana-72570	3	34	,	,	PUNCT
bibechana-72570	3	35	krishna	krishna	PROPN
bibechana-72570	3	36	raj	raj	PROPN
bibechana-72570	3	37	adhikari3,∗	adhikari3,∗	PROPN
bibechana-72570	3	38	,	,	PUNCT
bibechana-72570	3	39	kapil	kapil	PROPN
bibechana-72570	3	40	adhikari4	adhikari4	PROPN
bibechana-72570	3	41	,	,	PUNCT
bibechana-72570	3	42	narayan	narayan	PROPN
bibechana-72570	3	43	prasad	prasad	PROPN
bibechana-72570	3	44	adhikari2	adhikari2	PUNCT
bibechana-72570	4	1	1department	1department	NUM
bibechana-72570	4	2	of	of	ADP
bibechana-72570	4	3	physics	physics	PROPN
bibechana-72570	4	4	,	,	PUNCT
bibechana-72570	4	5	prithvi	prithvi	PROPN
bibechana-72570	4	6	narayan	narayan	PROPN
bibechana-72570	4	7	campus	campus	PROPN
bibechana-72570	4	8	,	,	PUNCT
bibechana-72570	4	9	tribhuvan	tribhuvan	PROPN
bibechana-72570	4	10	university	university	PROPN
bibechana-72570	4	11	,	,	PUNCT
bibechana-72570	4	12	pokhara	pokhara	NOUN
bibechana-72570	4	13	,	,	PUNCT
bibechana-72570	4	14	nepal	nepal	ADJ
bibechana-72570	4	15	2central	2central	NUM
bibechana-72570	4	16	department	department	NOUN
bibechana-72570	4	17	of	of	ADP
bibechana-72570	4	18	physics	physics	PROPN
bibechana-72570	4	19	,	,	PUNCT
bibechana-72570	4	20	tribhuvan	tribhuvan	PROPN
bibechana-72570	4	21	university	university	PROPN
bibechana-72570	4	22	,	,	PUNCT
bibechana-72570	4	23	kirtipur	kirtipur	NOUN
bibechana-72570	4	24	,	,	PUNCT
bibechana-72570	4	25	kathmandu	kathmandu	NOUN
bibechana-72570	4	26	,	,	PUNCT
bibechana-72570	4	27	nepal	nepal	PROPN
bibechana-72570	4	28	3department	3department	NUM
bibechana-72570	4	29	of	of	ADP
bibechana-72570	4	30	applied	apply	VERB
bibechana-72570	4	31	sciences	science	NOUN
bibechana-72570	4	32	,	,	PUNCT
bibechana-72570	4	33	pashchimanchal	pashchimanchal	NOUN
bibechana-72570	4	34	campus	campus	NOUN
bibechana-72570	4	35	,	,	PUNCT
bibechana-72570	4	36	institute	institute	NOUN
bibechana-72570	4	37	of	of	ADP
bibechana-72570	4	38	engineering	engineering	PROPN
bibechana-72570	4	39	,	,	PUNCT
bibechana-72570	4	40	tribhuvan	tribhuvan	PROPN
bibechana-72570	4	41	university	university	PROPN
bibechana-72570	4	42	,	,	PUNCT
bibechana-72570	4	43	pokhara	pokhara	NOUN
bibechana-72570	4	44	,	,	PUNCT
bibechana-72570	4	45	nepal	nepal	NOUN
bibechana-72570	4	46	4faculty	4faculty	PROPN
bibechana-72570	4	47	of	of	ADP
bibechana-72570	4	48	science	science	NOUN
bibechana-72570	4	49	and	and	CCONJ
bibechana-72570	4	50	technology	technology	NOUN
bibechana-72570	4	51	,	,	PUNCT
bibechana-72570	4	52	gandaki	gandaki	ADJ
bibechana-72570	4	53	university	university	NOUN
bibechana-72570	4	54	,	,	PUNCT
bibechana-72570	4	55	nepal	nepal	ADJ
bibechana-72570	4	56	∗corresponding	∗corresponde	VERB
bibechana-72570	4	57	author	author	NOUN
bibechana-72570	4	58	.	.	PUNCT
bibechana-72570	5	1	email	email	NOUN
bibechana-72570	5	2	:	:	PUNCT
bibechana-72570	5	3	adhikarikrishna@wrc.edu.np	adhikarikrishna@wrc.edu.np	PROPN
bibechana-72570	5	4	abstract	abstract	NOUN
bibechana-72570	5	5	in	in	ADP
bibechana-72570	5	6	this	this	DET
bibechana-72570	5	7	work	work	NOUN
bibechana-72570	5	8	,	,	PUNCT
bibechana-72570	5	9	we	we	PRON
bibechana-72570	5	10	have	have	AUX
bibechana-72570	5	11	used	use	VERB
bibechana-72570	5	12	computational	computational	ADJ
bibechana-72570	5	13	techniques	technique	NOUN
bibechana-72570	5	14	to	to	PART
bibechana-72570	5	15	examine	examine	VERB
bibechana-72570	5	16	how	how	SCONJ
bibechana-72570	5	17	the	the	DET
bibechana-72570	5	18	dynamics	dynamic	NOUN
bibechana-72570	5	19	of	of	ADP
bibechana-72570	5	20	a	a	DET
bibechana-72570	5	21	simple	simple	ADJ
bibechana-72570	5	22	pendulum	pendulum	NOUN
bibechana-72570	5	23	change	change	NOUN
bibechana-72570	5	24	from	from	ADP
bibechana-72570	5	25	linear	linear	PROPN
bibechana-72570	5	26	to	to	ADP
bibechana-72570	5	27	non	non	ADJ
bibechana-72570	5	28	-	-	ADJ
bibechana-72570	5	29	linear	linear	ADJ
bibechana-72570	5	30	and	and	CCONJ
bibechana-72570	5	31	chaotic	chaotic	ADJ
bibechana-72570	5	32	.	.	PUNCT
bibechana-72570	6	1	the	the	DET
bibechana-72570	6	2	graph	graph	NOUN
bibechana-72570	6	3	of	of	ADP
bibechana-72570	6	4	phase	phase	NOUN
bibechana-72570	6	5	space	space	NOUN
bibechana-72570	6	6	,	,	PUNCT
bibechana-72570	6	7	angular	angular	ADJ
bibechana-72570	6	8	displacement	displacement	NOUN
bibechana-72570	6	9	versus	versus	ADP
bibechana-72570	6	10	time	time	NOUN
bibechana-72570	6	11	,	,	PUNCT
bibechana-72570	6	12	and	and	CCONJ
bibechana-72570	6	13	angular	angular	ADJ
bibechana-72570	6	14	velocity	velocity	NOUN
bibechana-72570	6	15	versus	versus	ADP
bibechana-72570	6	16	time	time	NOUN
bibechana-72570	6	17	are	be	AUX
bibechana-72570	6	18	thoroughly	thoroughly	ADV
bibechana-72570	6	19	examined	examine	VERB
bibechana-72570	6	20	in	in	ADP
bibechana-72570	6	21	our	our	PRON
bibechana-72570	6	22	analysis	analysis	NOUN
bibechana-72570	6	23	.	.	PUNCT
bibechana-72570	7	1	a	a	DET
bibechana-72570	7	2	significant	significant	ADJ
bibechana-72570	7	3	shift	shift	NOUN
bibechana-72570	7	4	is	be	AUX
bibechana-72570	7	5	observed	observe	VERB
bibechana-72570	7	6	in	in	ADP
bibechana-72570	7	7	these	these	DET
bibechana-72570	7	8	representations	representation	NOUN
bibechana-72570	7	9	,	,	PUNCT
bibechana-72570	7	10	particularly	particularly	ADV
bibechana-72570	7	11	in	in	ADP
bibechana-72570	7	12	the	the	DET
bibechana-72570	7	13	graph	graph	NOUN
bibechana-72570	7	14	of	of	ADP
bibechana-72570	7	15	angular	angular	ADJ
bibechana-72570	7	16	displacement	displacement	NOUN
bibechana-72570	7	17	versus	versus	ADP
bibechana-72570	7	18	time	time	NOUN
bibechana-72570	7	19	and	and	CCONJ
bibechana-72570	7	20	angular	angular	ADJ
bibechana-72570	7	21	velocity	velocity	NOUN
bibechana-72570	7	22	versus	versus	ADP
bibechana-72570	7	23	time	time	NOUN
bibechana-72570	7	24	.	.	PUNCT
bibechana-72570	8	1	as	as	SCONJ
bibechana-72570	8	2	the	the	DET
bibechana-72570	8	3	non	non	NOUN
bibechana-72570	8	4	-	-	ADJ
bibechana-72570	8	5	linearity	linearity	NOUN
bibechana-72570	8	6	is	be	AUX
bibechana-72570	8	7	enhanced	enhance	VERB
bibechana-72570	8	8	,	,	PUNCT
bibechana-72570	8	9	we	we	PRON
bibechana-72570	8	10	observe	observe	VERB
bibechana-72570	8	11	a	a	DET
bibechana-72570	8	12	progressive	progressive	ADJ
bibechana-72570	8	13	movement	movement	NOUN
bibechana-72570	8	14	from	from	ADP
bibechana-72570	8	15	circular	circular	ADJ
bibechana-72570	8	16	to	to	ADP
bibechana-72570	8	17	oval	oval	NOUN
bibechana-72570	8	18	shapes	shape	NOUN
bibechana-72570	8	19	in	in	ADP
bibechana-72570	8	20	phase	phase	NOUN
bibechana-72570	8	21	space	space	NOUN
bibechana-72570	8	22	.	.	PUNCT
bibechana-72570	9	1	in	in	ADP
bibechana-72570	9	2	damped	damped	NOUN
bibechana-72570	9	3	and	and	CCONJ
bibechana-72570	9	4	forced	force	VERB
bibechana-72570	9	5	pendulum	pendulum	NOUN
bibechana-72570	9	6	scenarios	scenario	NOUN
bibechana-72570	9	7	,	,	PUNCT
bibechana-72570	9	8	similar	similar	ADJ
bibechana-72570	9	9	patterns	pattern	NOUN
bibechana-72570	9	10	are	be	AUX
bibechana-72570	9	11	observed	observe	VERB
bibechana-72570	9	12	.	.	PUNCT
bibechana-72570	10	1	in	in	ADP
bibechana-72570	10	2	these	these	DET
bibechana-72570	10	3	cases	case	NOUN
bibechana-72570	10	4	,	,	PUNCT
bibechana-72570	10	5	the	the	DET
bibechana-72570	10	6	graphs	graph	NOUN
bibechana-72570	10	7	display	display	VERB
bibechana-72570	10	8	a	a	DET
bibechana-72570	10	9	sinusoidal	sinusoidal	ADJ
bibechana-72570	10	10	pattern	pattern	NOUN
bibechana-72570	10	11	with	with	ADP
bibechana-72570	10	12	a	a	DET
bibechana-72570	10	13	diminishing	diminish	VERB
bibechana-72570	10	14	amplitude	amplitude	NOUN
bibechana-72570	10	15	with	with	ADP
bibechana-72570	10	16	time	time	NOUN
bibechana-72570	10	17	.	.	PUNCT
bibechana-72570	11	1	surprisingly	surprisingly	ADV
bibechana-72570	11	2	,	,	PUNCT
bibechana-72570	11	3	in	in	ADP
bibechana-72570	11	4	the	the	DET
bibechana-72570	11	5	phase	phase	NOUN
bibechana-72570	11	6	space	space	NOUN
bibechana-72570	11	7	of	of	ADP
bibechana-72570	11	8	the	the	DET
bibechana-72570	11	9	damped	damped	NOUN
bibechana-72570	11	10	pendulum	pendulum	NOUN
bibechana-72570	11	11	,	,	PUNCT
bibechana-72570	11	12	a	a	DET
bibechana-72570	11	13	spiral	spiral	ADJ
bibechana-72570	11	14	type	type	NOUN
bibechana-72570	11	15	of	of	ADP
bibechana-72570	11	16	graph	graph	NOUN
bibechana-72570	11	17	is	be	AUX
bibechana-72570	11	18	observed	observe	VERB
bibechana-72570	11	19	,	,	PUNCT
bibechana-72570	11	20	demonstrating	demonstrate	VERB
bibechana-72570	11	21	the	the	DET
bibechana-72570	11	22	intricate	intricate	ADJ
bibechana-72570	11	23	relationship	relationship	NOUN
bibechana-72570	11	24	between	between	ADP
bibechana-72570	11	25	damping	damp	VERB
bibechana-72570	11	26	effects	effect	NOUN
bibechana-72570	11	27	and	and	CCONJ
bibechana-72570	11	28	non	non	ADJ
bibechana-72570	11	29	-	-	NOUN
bibechana-72570	11	30	linearity	linearity	NOUN
bibechana-72570	11	31	.	.	PUNCT
bibechana-72570	12	1	this	this	DET
bibechana-72570	12	2	research	research	NOUN
bibechana-72570	12	3	emphasizes	emphasize	VERB
bibechana-72570	12	4	the	the	DET
bibechana-72570	12	5	separatrix	separatrix	NOUN
bibechana-72570	12	6	’s	’s	PART
bibechana-72570	12	7	function	function	NOUN
bibechana-72570	12	8	as	as	ADP
bibechana-72570	12	9	a	a	DET
bibechana-72570	12	10	crucial	crucial	ADJ
bibechana-72570	12	11	cutoff	cutoff	NOUN
bibechana-72570	12	12	point	point	NOUN
bibechana-72570	12	13	where	where	SCONJ
bibechana-72570	12	14	the	the	DET
bibechana-72570	12	15	pendulum	pendulum	NOUN
bibechana-72570	12	16	’s	’s	PART
bibechana-72570	12	17	motion	motion	NOUN
bibechana-72570	12	18	changes	change	NOUN
bibechana-72570	12	19	from	from	ADP
bibechana-72570	12	20	linear	linear	ADJ
bibechana-72570	12	21	to	to	ADP
bibechana-72570	12	22	chaotic	chaotic	ADJ
bibechana-72570	12	23	.	.	PUNCT
bibechana-72570	13	1	keywords	keyword	NOUN
bibechana-72570	13	2	phase	phase	NOUN
bibechana-72570	13	3	space	space	NOUN
bibechana-72570	13	4	;	;	PUNCT
bibechana-72570	13	5	separatrix	separatrix	NOUN
bibechana-72570	13	6	;	;	PUNCT
bibechana-72570	13	7	damped	damp	VERB
bibechana-72570	13	8	pendulum	pendulum	NOUN
bibechana-72570	13	9	;	;	PUNCT
bibechana-72570	13	10	trajectory	trajectory	NOUN
bibechana-72570	13	11	;	;	PUNCT
bibechana-72570	13	12	runge	runge	NOUN
bibechana-72570	13	13	-	-	PUNCT
bibechana-72570	13	14	kutta	kutta	NOUN
bibechana-72570	13	15	method	method	NOUN
bibechana-72570	13	16	;	;	PUNCT
bibechana-72570	13	17	harmonic	harmonic	ADJ
bibechana-72570	13	18	oscillator	oscillator	NOUN
bibechana-72570	13	19	article	article	NOUN
bibechana-72570	13	20	information	information	NOUN
bibechana-72570	13	21	manuscript	manuscript	NOUN
bibechana-72570	13	22	received	receive	VERB
bibechana-72570	13	23	:	:	PUNCT
bibechana-72570	13	24	december	december	PROPN
bibechana-72570	13	25	12	12	NUM
bibechana-72570	13	26	,	,	PUNCT
bibechana-72570	13	27	2024	2024	NUM
bibechana-72570	13	28	;	;	PUNCT
bibechana-72570	13	29	revised	revise	VERB
bibechana-72570	13	30	:	:	PUNCT
bibechana-72570	13	31	january	january	PROPN
bibechana-72570	13	32	7	7	NUM
bibechana-72570	13	33	,	,	PUNCT
bibechana-72570	13	34	2025	2025	NUM
bibechana-72570	13	35	;	;	PUNCT
bibechana-72570	13	36	accepted	accept	VERB
bibechana-72570	13	37	:	:	PUNCT
bibechana-72570	13	38	january	january	PROPN
bibechana-72570	13	39	10	10	NUM
bibechana-72570	13	40	,	,	PUNCT
bibechana-72570	13	41	2025	2025	NUM
bibechana-72570	13	42	doi	doi	NOUN
bibechana-72570	13	43	https://doi.org/10.3126/bibechana.v22i2.72570	https://doi.org/10.3126/bibechana.v22i2.72570	NOUN
bibechana-72570	13	44	this	this	DET
bibechana-72570	13	45	work	work	NOUN
bibechana-72570	13	46	is	be	AUX
bibechana-72570	13	47	licensed	license	VERB
bibechana-72570	13	48	under	under	ADP
bibechana-72570	13	49	the	the	DET
bibechana-72570	13	50	creative	creative	ADJ
bibechana-72570	13	51	commons	common	NOUN
bibechana-72570	13	52	cc	cc	ADP
bibechana-72570	13	53	by	by	ADP
bibechana-72570	13	54	-	-	PUNCT
bibechana-72570	13	55	nc	nc	NOUN
bibechana-72570	13	56	license	license	NOUN
bibechana-72570	13	57	.	.	PUNCT
bibechana-72570	14	1	https://creativecommons	https://creativecommon	NOUN
bibechana-72570	14	2	.	.	PUNCT
bibechana-72570	14	3	org	org	ADJ
bibechana-72570	14	4	/	/	SYM
bibechana-72570	14	5	licenses	license	NOUN
bibechana-72570	14	6	/	/	SYM
bibechana-72570	14	7	by	by	ADP
bibechana-72570	14	8	-	-	PUNCT
bibechana-72570	14	9	nc/4.0/	nc/4.0/	NOUN
bibechana-72570	14	10	1	1	NUM
bibechana-72570	14	11	introduction	introduction	NOUN
bibechana-72570	14	12	galileo	galileo	PROPN
bibechana-72570	14	13	was	be	AUX
bibechana-72570	14	14	the	the	DET
bibechana-72570	14	15	first	first	ADJ
bibechana-72570	14	16	to	to	PART
bibechana-72570	14	17	observe	observe	VERB
bibechana-72570	14	18	that	that	SCONJ
bibechana-72570	14	19	the	the	DET
bibechana-72570	14	20	swinging	swinge	VERB
bibechana-72570	14	21	time	time	NOUN
bibechana-72570	14	22	of	of	ADP
bibechana-72570	14	23	a	a	DET
bibechana-72570	14	24	lamp	lamp	NOUN
bibechana-72570	14	25	in	in	ADP
bibechana-72570	14	26	a	a	DET
bibechana-72570	14	27	cathedral	cathedral	NOUN
bibechana-72570	14	28	remained	remain	VERB
bibechana-72570	14	29	consistent	consistent	ADJ
bibechana-72570	14	30	regardless	regardless	ADV
bibechana-72570	14	31	of	of	ADP
bibechana-72570	14	32	its	its	PRON
bibechana-72570	14	33	swing	swing	NOUN
bibechana-72570	14	34	’s	’s	PART
bibechana-72570	14	35	size	size	NOUN
bibechana-72570	14	36	,	,	PUNCT
bibechana-72570	14	37	at	at	ADP
bibechana-72570	14	38	least	least	ADJ
bibechana-72570	14	39	for	for	ADP
bibechana-72570	14	40	the	the	DET
bibechana-72570	14	41	small	small	ADJ
bibechana-72570	14	42	swings	swing	NOUN
bibechana-72570	14	43	he	he	PRON
bibechana-72570	14	44	could	could	AUX
bibechana-72570	14	45	observe	observe	VERB
bibechana-72570	14	46	[	[	X
bibechana-72570	14	47	1	1	NUM
bibechana-72570	14	48	]	]	PUNCT
bibechana-72570	14	49	.	.	PUNCT
bibechana-72570	15	1	huygens	huygens	PROPN
bibechana-72570	15	2	invented	invent	VERB
bibechana-72570	15	3	the	the	DET
bibechana-72570	15	4	first	first	ADJ
bibechana-72570	15	5	pendulum	pendulum	NOUN
bibechana-72570	15	6	clock	clock	NOUN
bibechana-72570	15	7	in	in	ADP
bibechana-72570	15	8	1656	1656	NUM
bibechana-72570	15	9	[	[	X
bibechana-72570	15	10	2	2	NUM
bibechana-72570	15	11	]	]	PUNCT
bibechana-72570	15	12	,	,	PUNCT
bibechana-72570	15	13	which	which	PRON
bibechana-72570	15	14	was	be	AUX
bibechana-72570	15	15	a	a	DET
bibechana-72570	15	16	big	big	ADJ
bibechana-72570	15	17	step	step	NOUN
bibechana-72570	15	18	forward	forward	ADV
bibechana-72570	15	19	in	in	ADP
bibechana-72570	15	20	timekeeping	timekeepe	VERB
bibechana-72570	15	21	from	from	ADP
bibechana-72570	15	22	earlier	early	ADJ
bibechana-72570	15	23	techniques	technique	NOUN
bibechana-72570	15	24	.	.	PUNCT
bibechana-72570	16	1	116	116	NUM
bibechana-72570	16	2	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-72570	16	3	adhikarikrishna@wrc.edu.np	adhikarikrishna@wrc.edu.np	PROPN
bibechana-72570	16	4	https://doi.org/10.3126/bibechana.v22i2.72570	https://doi.org/10.3126/bibechana.v22i2.72570	NOUN
bibechana-72570	16	5	https://creativecommons.org/licenses/by-nc/4.0/	https://creativecommons.org/licenses/by-nc/4.0/	PROPN
bibechana-72570	16	6	https://creativecommons.org/licenses/by-nc/4.0/	https://creativecommons.org/licenses/by-nc/4.0/	PROPN
bibechana-72570	16	7	chhabi	chhabi	PROPN
bibechana-72570	16	8	kumar	kumar	PROPN
bibechana-72570	16	9	shrestha	shrestha	PROPN
bibechana-72570	16	10	et	et	PROPN
bibechana-72570	16	11	al./	al./	ADV
bibechana-72570	16	12	bibechana	bibechana	PROPN
bibechana-72570	16	13	22	22	NUM
bibechana-72570	16	14	(	(	PUNCT
bibechana-72570	16	15	2025	2025	NUM
bibechana-72570	16	16	)	)	PUNCT
bibechana-72570	16	17	116	116	NUM
bibechana-72570	16	18	-	-	SYM
bibechana-72570	16	19	121	121	NUM
bibechana-72570	16	20	117	117	NUM
bibechana-72570	16	21	the	the	DET
bibechana-72570	16	22	pendulum	pendulum	NOUN
bibechana-72570	16	23	was	be	AUX
bibechana-72570	16	24	thus	thus	ADV
bibechana-72570	16	25	the	the	DET
bibechana-72570	16	26	first	first	ADJ
bibechana-72570	16	27	oscillator	oscillator	NOUN
bibechana-72570	16	28	of	of	ADP
bibechana-72570	16	29	significant	significant	ADJ
bibechana-72570	16	30	practical	practical	ADJ
bibechana-72570	16	31	significance	significance	NOUN
bibechana-72570	16	32	.	.	PUNCT
bibechana-72570	17	1	the	the	DET
bibechana-72570	17	2	study	study	NOUN
bibechana-72570	17	3	of	of	ADP
bibechana-72570	17	4	pendulum	pendulum	NOUN
bibechana-72570	17	5	dynamics	dynamic	NOUN
bibechana-72570	17	6	plays	play	VERB
bibechana-72570	17	7	an	an	DET
bibechana-72570	17	8	important	important	ADJ
bibechana-72570	17	9	role	role	NOUN
bibechana-72570	17	10	in	in	ADP
bibechana-72570	17	11	classical	classical	ADJ
bibechana-72570	17	12	mechanics	mechanic	NOUN
bibechana-72570	17	13	,	,	PUNCT
bibechana-72570	17	14	and	and	CCONJ
bibechana-72570	17	15	simple	simple	ADJ
bibechana-72570	17	16	harmonic	harmonic	ADJ
bibechana-72570	17	17	motion	motion	NOUN
bibechana-72570	17	18	(	(	PUNCT
bibechana-72570	17	19	shm	shm	NOUN
bibechana-72570	17	20	)	)	PUNCT
bibechana-72570	17	21	is	be	AUX
bibechana-72570	17	22	well	well	ADV
bibechana-72570	17	23	understood	understand	VERB
bibechana-72570	17	24	for	for	ADP
bibechana-72570	17	25	small	small	ADJ
bibechana-72570	17	26	oscillations	oscillation	NOUN
bibechana-72570	17	27	.	.	PUNCT
bibechana-72570	18	1	if	if	SCONJ
bibechana-72570	18	2	the	the	DET
bibechana-72570	18	3	particle	particle	NOUN
bibechana-72570	18	4	in	in	ADP
bibechana-72570	18	5	the	the	DET
bibechana-72570	18	6	case	case	NOUN
bibechana-72570	18	7	of	of	ADP
bibechana-72570	18	8	periodic	periodic	ADJ
bibechana-72570	18	9	motion	motion	NOUN
bibechana-72570	18	10	moves	move	VERB
bibechana-72570	18	11	back	back	ADV
bibechana-72570	18	12	and	and	CCONJ
bibechana-72570	18	13	forth	forth	ADV
bibechana-72570	18	14	,	,	PUNCT
bibechana-72570	18	15	then	then	ADV
bibechana-72570	18	16	the	the	DET
bibechana-72570	18	17	motion	motion	NOUN
bibechana-72570	18	18	is	be	AUX
bibechana-72570	18	19	called	call	VERB
bibechana-72570	18	20	oscillatory	oscillatory	ADJ
bibechana-72570	18	21	or	or	CCONJ
bibechana-72570	18	22	vibratory	vibratory	ADJ
bibechana-72570	18	23	motion	motion	NOUN
bibechana-72570	18	24	.	.	PUNCT
bibechana-72570	19	1	the	the	DET
bibechana-72570	19	2	harmonic	harmonic	ADJ
bibechana-72570	19	3	motion	motion	NOUN
bibechana-72570	19	4	of	of	ADP
bibechana-72570	19	5	the	the	DET
bibechana-72570	19	6	simplest	simple	ADJ
bibechana-72570	19	7	type	type	NOUN
bibechana-72570	19	8	,	,	PUNCT
bibechana-72570	19	9	having	have	VERB
bibechana-72570	19	10	constant	constant	ADJ
bibechana-72570	19	11	amplitude	amplitude	NOUN
bibechana-72570	19	12	and	and	CCONJ
bibechana-72570	19	13	single	single	ADJ
bibechana-72570	19	14	frequency	frequency	NOUN
bibechana-72570	19	15	,	,	PUNCT
bibechana-72570	19	16	is	be	AUX
bibechana-72570	19	17	called	call	VERB
bibechana-72570	19	18	simple	simple	ADJ
bibechana-72570	19	19	harmonic	harmonic	ADJ
bibechana-72570	19	20	motion	motion	NOUN
bibechana-72570	19	21	.	.	PUNCT
bibechana-72570	20	1	the	the	DET
bibechana-72570	20	2	body	body	NOUN
bibechana-72570	20	3	is	be	AUX
bibechana-72570	20	4	said	say	VERB
bibechana-72570	20	5	to	to	PART
bibechana-72570	20	6	be	be	AUX
bibechana-72570	20	7	in	in	ADP
bibechana-72570	20	8	simple	simple	ADJ
bibechana-72570	20	9	harmonic	harmonic	ADJ
bibechana-72570	20	10	motion	motion	NOUN
bibechana-72570	20	11	(	(	PUNCT
bibechana-72570	20	12	shm	shm	NOUN
bibechana-72570	20	13	)	)	PUNCT
bibechana-72570	20	14	if	if	SCONJ
bibechana-72570	20	15	the	the	DET
bibechana-72570	20	16	acceleration	acceleration	NOUN
bibechana-72570	20	17	of	of	ADP
bibechana-72570	20	18	the	the	DET
bibechana-72570	20	19	body	body	NOUN
bibechana-72570	20	20	is	be	AUX
bibechana-72570	20	21	directly	directly	ADV
bibechana-72570	20	22	proportional	proportional	ADJ
bibechana-72570	20	23	to	to	ADP
bibechana-72570	20	24	the	the	DET
bibechana-72570	20	25	displacement	displacement	NOUN
bibechana-72570	20	26	and	and	CCONJ
bibechana-72570	20	27	is	be	AUX
bibechana-72570	20	28	directed	direct	VERB
bibechana-72570	20	29	always	always	ADV
bibechana-72570	20	30	toward	toward	ADP
bibechana-72570	20	31	the	the	DET
bibechana-72570	20	32	mean	mean	ADJ
bibechana-72570	20	33	position	position	NOUN
bibechana-72570	20	34	.	.	PUNCT
bibechana-72570	21	1	if	if	SCONJ
bibechana-72570	21	2	’	'	PUNCT
bibechana-72570	21	3	a	a	X
bibechana-72570	21	4	’	'	PUNCT
bibechana-72570	21	5	be	be	AUX
bibechana-72570	21	6	the	the	DET
bibechana-72570	21	7	acceleration	acceleration	NOUN
bibechana-72570	21	8	of	of	ADP
bibechana-72570	21	9	the	the	DET
bibechana-72570	21	10	body	body	NOUN
bibechana-72570	21	11	and	and	CCONJ
bibechana-72570	21	12	’	'	PUNCT
bibechana-72570	21	13	x	x	X
bibechana-72570	21	14	’	'	PUNCT
bibechana-72570	21	15	be	be	VERB
bibechana-72570	21	16	the	the	DET
bibechana-72570	21	17	displacement	displacement	NOUN
bibechana-72570	21	18	of	of	ADP
bibechana-72570	21	19	the	the	DET
bibechana-72570	21	20	body	body	NOUN
bibechana-72570	21	21	from	from	ADP
bibechana-72570	21	22	the	the	DET
bibechana-72570	21	23	mean	mean	ADJ
bibechana-72570	21	24	position	position	NOUN
bibechana-72570	21	25	,	,	PUNCT
bibechana-72570	21	26	then	then	ADV
bibechana-72570	21	27	acceleration	acceleration	NOUN
bibechana-72570	21	28	∝	∝	PROPN
bibechana-72570	21	29	displacement	displacement	NOUN
bibechana-72570	21	30	i.e.	i.e.	ADV
bibechana-72570	21	31	,	,	PUNCT
bibechana-72570	21	32	a	a	PRON
bibechana-72570	21	33	∝	∝	PROPN
bibechana-72570	21	34	x	x	SYM
bibechana-72570	21	35	⇒	⇒	VERB
bibechana-72570	21	36	a	a	DET
bibechana-72570	21	37	=	=	X
bibechana-72570	21	38	−kx	−kx	NOUN
bibechana-72570	21	39	where	where	SCONJ
bibechana-72570	21	40	’	'	PUNCT
bibechana-72570	21	41	k	k	X
bibechana-72570	21	42	’	'	PUNCT
bibechana-72570	21	43	is	be	AUX
bibechana-72570	21	44	a	a	DET
bibechana-72570	21	45	constant	constant	ADJ
bibechana-72570	21	46	,	,	PUNCT
bibechana-72570	21	47	called	call	VERB
bibechana-72570	21	48	a	a	DET
bibechana-72570	21	49	force	force	NOUN
bibechana-72570	21	50	constant	constant	ADJ
bibechana-72570	21	51	or	or	CCONJ
bibechana-72570	21	52	spring	spring	NOUN
bibechana-72570	21	53	constant	constant	ADJ
bibechana-72570	21	54	,	,	PUNCT
bibechana-72570	21	55	and	and	CCONJ
bibechana-72570	21	56	negative	negative	ADJ
bibechana-72570	21	57	sign	sign	NOUN
bibechana-72570	21	58	indicates	indicate	VERB
bibechana-72570	21	59	acceleration	acceleration	NOUN
bibechana-72570	21	60	is	be	AUX
bibechana-72570	21	61	always	always	ADV
bibechana-72570	21	62	directed	direct	VERB
bibechana-72570	21	63	opposite	opposite	ADV
bibechana-72570	21	64	to	to	ADP
bibechana-72570	21	65	the	the	DET
bibechana-72570	21	66	displacement	displacement	NOUN
bibechana-72570	21	67	or	or	CCONJ
bibechana-72570	21	68	motion	motion	NOUN
bibechana-72570	21	69	of	of	ADP
bibechana-72570	21	70	an	an	DET
bibechana-72570	21	71	object	object	NOUN
bibechana-72570	22	1	[	[	X
bibechana-72570	22	2	3	3	NUM
bibechana-72570	22	3	]	]	PUNCT
bibechana-72570	22	4	.	.	PUNCT
bibechana-72570	23	1	suppose	suppose	VERB
bibechana-72570	23	2	a	a	DET
bibechana-72570	23	3	particle	particle	NOUN
bibechana-72570	23	4	of	of	ADP
bibechana-72570	23	5	mass	mass	NOUN
bibechana-72570	23	6	’	'	PUNCT
bibechana-72570	23	7	m	m	VERB
bibechana-72570	23	8	’	'	PUNCT
bibechana-72570	23	9	executing	execute	VERB
bibechana-72570	23	10	shm	shm	NOUN
bibechana-72570	23	11	.	.	PUNCT
bibechana-72570	24	1	if	if	SCONJ
bibechana-72570	24	2	’	'	PUNCT
bibechana-72570	24	3	x	x	X
bibechana-72570	24	4	’	'	PUNCT
bibechana-72570	24	5	be	be	VERB
bibechana-72570	24	6	the	the	DET
bibechana-72570	24	7	displacement	displacement	NOUN
bibechana-72570	24	8	of	of	ADP
bibechana-72570	24	9	the	the	DET
bibechana-72570	24	10	particle	particle	NOUN
bibechana-72570	24	11	from	from	ADP
bibechana-72570	24	12	the	the	DET
bibechana-72570	24	13	equilibrium	equilibrium	NOUN
bibechana-72570	24	14	position	position	NOUN
bibechana-72570	24	15	at	at	ADP
bibechana-72570	24	16	any	any	DET
bibechana-72570	24	17	instant	instant	NOUN
bibechana-72570	24	18	of	of	ADP
bibechana-72570	24	19	time	time	NOUN
bibechana-72570	24	20	’	'	PUNCT
bibechana-72570	24	21	t	t	PROPN
bibechana-72570	24	22	’	'	PUNCT
bibechana-72570	24	23	,	,	PUNCT
bibechana-72570	24	24	then	then	ADV
bibechana-72570	24	25	from	from	ADP
bibechana-72570	24	26	hooke	hooke	PROPN
bibechana-72570	24	27	’s	’s	PART
bibechana-72570	24	28	law	law	PROPN
bibechana-72570	24	29	restoringforce(f	restoringforce(f	PROPN
bibechana-72570	24	30	)	)	PUNCT
bibechana-72570	24	31	∝	∝	PROPN
bibechana-72570	24	32	x	x	X
bibechana-72570	24	33	⇒	⇒	PROPN
bibechana-72570	24	34	f	f	PROPN
bibechana-72570	24	35	=	=	PUNCT
bibechana-72570	24	36	−kx	−kx	ADJ
bibechana-72570	24	37	⇒	⇒	VERB
bibechana-72570	24	38	d2x	d2x	PROPN
bibechana-72570	24	39	dt2	dt2	PROPN
bibechana-72570	25	1	=	=	PUNCT
bibechana-72570	25	2	−kx	−kx	NOUN
bibechana-72570	25	3	m	m	VERB
bibechana-72570	25	4	=	=	NOUN
bibechana-72570	25	5	−w2x	−w2x	PROPN
bibechana-72570	25	6	where	where	SCONJ
bibechana-72570	25	7	w2	w2	NOUN
bibechana-72570	25	8	=	=	PROPN
bibechana-72570	25	9	k	k	PROPN
bibechana-72570	25	10	m	m	VERB
bibechana-72570	25	11	the	the	DET
bibechana-72570	25	12	general	general	ADJ
bibechana-72570	25	13	solution	solution	NOUN
bibechana-72570	25	14	of	of	ADP
bibechana-72570	25	15	this	this	DET
bibechana-72570	25	16	equation	equation	NOUN
bibechana-72570	25	17	is	be	AUX
bibechana-72570	25	18	x	x	PUNCT
bibechana-72570	25	19	=	=	PUNCT
bibechana-72570	25	20	a1e	a1e	PROPN
bibechana-72570	25	21	iw0	iw0	PROPN
bibechana-72570	25	22	t	t	PROPN
bibechana-72570	25	23	+	+	PROPN
bibechana-72570	25	24	a2e	a2e	PROPN
bibechana-72570	25	25	−iw0	−iw0	PROPN
bibechana-72570	25	26	t	t	NOUN
bibechana-72570	25	27	phase	phase	NOUN
bibechana-72570	25	28	space	space	NOUN
bibechana-72570	25	29	is	be	AUX
bibechana-72570	25	30	the	the	DET
bibechana-72570	25	31	momentum	momentum	NOUN
bibechana-72570	25	32	,	,	PUNCT
bibechana-72570	25	33	and	and	CCONJ
bibechana-72570	25	34	position	position	NOUN
bibechana-72570	25	35	coordinates	coordinate	NOUN
bibechana-72570	25	36	are	be	AUX
bibechana-72570	25	37	set	set	VERB
bibechana-72570	25	38	to	to	PART
bibechana-72570	25	39	define	define	VERB
bibechana-72570	25	40	the	the	DET
bibechana-72570	25	41	dynamic	dynamic	ADJ
bibechana-72570	25	42	system	system	NOUN
bibechana-72570	25	43	.	.	PUNCT
bibechana-72570	26	1	the	the	DET
bibechana-72570	26	2	idea	idea	NOUN
bibechana-72570	26	3	that	that	PRON
bibechana-72570	26	4	unifies	unify	VERB
bibechana-72570	26	5	quantum	quantum	NOUN
bibechana-72570	26	6	and	and	CCONJ
bibechana-72570	26	7	classical	classical	ADJ
bibechana-72570	26	8	mechanics	mechanic	NOUN
bibechana-72570	26	9	is	be	AUX
bibechana-72570	26	10	crucial	crucial	ADJ
bibechana-72570	26	11	to	to	ADP
bibechana-72570	26	12	understanding	understand	VERB
bibechana-72570	26	13	physics	physics	NOUN
bibechana-72570	26	14	.	.	PUNCT
bibechana-72570	27	1	the	the	DET
bibechana-72570	27	2	space	space	NOUN
bibechana-72570	27	3	of	of	ADP
bibechana-72570	27	4	all	all	DET
bibechana-72570	27	5	possible	possible	ADJ
bibechana-72570	27	6	states	state	NOUN
bibechana-72570	27	7	for	for	ADP
bibechana-72570	27	8	a	a	DET
bibechana-72570	27	9	physical	physical	ADJ
bibechana-72570	27	10	system	system	NOUN
bibechana-72570	27	11	is	be	AUX
bibechana-72570	27	12	known	know	VERB
bibechana-72570	27	13	as	as	ADP
bibechana-72570	27	14	phase	phase	NOUN
bibechana-72570	27	15	space	space	NOUN
bibechana-72570	27	16	in	in	ADP
bibechana-72570	27	17	classical	classical	ADJ
bibechana-72570	27	18	mechanics	mechanic	NOUN
bibechana-72570	27	19	.	.	PUNCT
bibechana-72570	28	1	friedrich	friedrich	PROPN
bibechana-72570	28	2	henri	henri	PROPN
bibechana-72570	28	3	poincare	poincare	PROPN
bibechana-72570	28	4	,	,	PUNCT
bibechana-72570	28	5	ludwig	ludwig	PROPN
bibechana-72570	28	6	boltzmann	boltzmann	PROPN
bibechana-72570	28	7	,	,	PUNCT
bibechana-72570	28	8	and	and	CCONJ
bibechana-72570	28	9	josiah	josiah	PROPN
bibechana-72570	28	10	willard	willard	PROPN
bibechana-72570	28	11	gibbs	gibbs	PROPN
bibechana-72570	28	12	invented	invent	VERB
bibechana-72570	28	13	the	the	DET
bibechana-72570	28	14	idea	idea	NOUN
bibechana-72570	28	15	of	of	ADP
bibechana-72570	28	16	phase	phase	NOUN
bibechana-72570	28	17	space	space	NOUN
bibechana-72570	28	18	in	in	ADP
bibechana-72570	28	19	the	the	DET
bibechana-72570	28	20	late	late	ADJ
bibechana-72570	28	21	1800	1800	NUM
bibechana-72570	28	22	s	s	PART
bibechana-72570	28	23	[	[	X
bibechana-72570	28	24	4	4	NUM
bibechana-72570	28	25	]	]	PUNCT
bibechana-72570	28	26	.	.	PUNCT
bibechana-72570	29	1	a	a	DET
bibechana-72570	29	2	dynamical	dynamical	ADJ
bibechana-72570	29	3	system	system	NOUN
bibechana-72570	29	4	’s	’s	PART
bibechana-72570	29	5	state	state	NOUN
bibechana-72570	29	6	varies	vary	VERB
bibechana-72570	29	7	with	with	ADP
bibechana-72570	29	8	time	time	NOUN
bibechana-72570	29	9	,	,	PUNCT
bibechana-72570	29	10	as	as	SCONJ
bibechana-72570	29	11	represented	represent	VERB
bibechana-72570	29	12	by	by	ADP
bibechana-72570	29	13	a	a	DET
bibechana-72570	29	14	point	point	NOUN
bibechana-72570	29	15	in	in	ADP
bibechana-72570	29	16	phase	phase	NOUN
bibechana-72570	29	17	space	space	NOUN
bibechana-72570	29	18	,	,	PUNCT
bibechana-72570	29	19	and	and	CCONJ
bibechana-72570	29	20	this	this	PRON
bibechana-72570	29	21	is	be	AUX
bibechana-72570	29	22	known	know	VERB
bibechana-72570	29	23	as	as	ADP
bibechana-72570	29	24	the	the	DET
bibechana-72570	29	25	phase	phase	NOUN
bibechana-72570	29	26	trajectory	trajectory	NOUN
bibechana-72570	29	27	.	.	PUNCT
bibechana-72570	30	1	a	a	DET
bibechana-72570	30	2	phase	phase	NOUN
bibechana-72570	30	3	plane	plane	NOUN
bibechana-72570	30	4	that	that	PRON
bibechana-72570	30	5	shows	show	VERB
bibechana-72570	30	6	the	the	DET
bibechana-72570	30	7	angle	angle	NOUN
bibechana-72570	30	8	θ	θ	PROPN
bibechana-72570	30	9	and	and	CCONJ
bibechana-72570	30	10	the	the	DET
bibechana-72570	30	11	angular	angular	ADJ
bibechana-72570	30	12	velocity	velocity	NOUN
bibechana-72570	30	13	dθ	dθ	PROPN
bibechana-72570	30	14	dt	dt	PROPN
bibechana-72570	30	15	provides	provide	VERB
bibechana-72570	30	16	a	a	DET
bibechana-72570	30	17	clear	clear	ADJ
bibechana-72570	30	18	visual	visual	ADJ
bibechana-72570	30	19	representation	representation	NOUN
bibechana-72570	30	20	of	of	ADP
bibechana-72570	30	21	the	the	DET
bibechana-72570	30	22	dynamics	dynamic	NOUN
bibechana-72570	30	23	of	of	ADP
bibechana-72570	30	24	a	a	DET
bibechana-72570	30	25	pendulum	pendulum	NOUN
bibechana-72570	30	26	.	.	PUNCT
bibechana-72570	31	1	certain	certain	ADJ
bibechana-72570	31	2	curves	curve	NOUN
bibechana-72570	31	3	or	or	CCONJ
bibechana-72570	31	4	points	point	NOUN
bibechana-72570	31	5	,	,	PUNCT
bibechana-72570	31	6	referred	refer	VERB
bibechana-72570	31	7	to	to	ADP
bibechana-72570	31	8	as	as	ADP
bibechana-72570	31	9	“	"	PUNCT
bibechana-72570	31	10	attractors	attractor	NOUN
bibechana-72570	31	11	"	"	PUNCT
bibechana-72570	31	12	,	,	PUNCT
bibechana-72570	31	13	are	be	AUX
bibechana-72570	31	14	important	important	ADJ
bibechana-72570	31	15	in	in	ADP
bibechana-72570	31	16	this	this	DET
bibechana-72570	31	17	graphical	graphical	ADJ
bibechana-72570	31	18	representation	representation	NOUN
bibechana-72570	31	19	.	.	PUNCT
bibechana-72570	32	1	no	no	PRON
bibechana-72570	32	2	matter	matter	ADV
bibechana-72570	32	3	where	where	SCONJ
bibechana-72570	32	4	the	the	DET
bibechana-72570	32	5	motion	motion	NOUN
bibechana-72570	32	6	begins	begin	VERB
bibechana-72570	32	7	,	,	PUNCT
bibechana-72570	32	8	attractors	attractor	NOUN
bibechana-72570	32	9	are	be	AUX
bibechana-72570	32	10	crucial	crucial	ADJ
bibechana-72570	32	11	because	because	SCONJ
bibechana-72570	32	12	they	they	PRON
bibechana-72570	32	13	symbolize	symbolize	VERB
bibechana-72570	32	14	the	the	DET
bibechana-72570	32	15	final	final	ADJ
bibechana-72570	32	16	states	state	NOUN
bibechana-72570	32	17	that	that	SCONJ
bibechana-72570	32	18	all	all	DET
bibechana-72570	32	19	potential	potential	ADJ
bibechana-72570	32	20	pendulum	pendulum	NOUN
bibechana-72570	32	21	trajectories	trajectory	NOUN
bibechana-72570	32	22	can	can	AUX
bibechana-72570	32	23	converge	converge	VERB
bibechana-72570	32	24	toward	toward	ADP
bibechana-72570	32	25	over	over	ADP
bibechana-72570	32	26	time	time	NOUN
bibechana-72570	32	27	.	.	PUNCT
bibechana-72570	33	1	in	in	ADP
bibechana-72570	33	2	the	the	DET
bibechana-72570	33	3	case	case	NOUN
bibechana-72570	33	4	of	of	ADP
bibechana-72570	33	5	real	real	ADJ
bibechana-72570	33	6	-	-	PUNCT
bibechana-72570	33	7	world	world	NOUN
bibechana-72570	33	8	systems	system	NOUN
bibechana-72570	33	9	,	,	PUNCT
bibechana-72570	33	10	when	when	SCONJ
bibechana-72570	33	11	large	large	ADJ
bibechana-72570	33	12	angular	angular	ADJ
bibechana-72570	33	13	displacement	displacement	NOUN
bibechana-72570	33	14	and	and	CCONJ
bibechana-72570	33	15	the	the	DET
bibechana-72570	33	16	damping	damp	VERB
bibechana-72570	33	17	term	term	NOUN
bibechana-72570	33	18	are	be	AUX
bibechana-72570	33	19	taken	take	VERB
bibechana-72570	33	20	into	into	ADP
bibechana-72570	33	21	account	account	NOUN
bibechana-72570	33	22	,	,	PUNCT
bibechana-72570	33	23	a	a	DET
bibechana-72570	33	24	simple	simple	ADJ
bibechana-72570	33	25	pendulum	pendulum	NOUN
bibechana-72570	33	26	exhibits	exhibit	VERB
bibechana-72570	33	27	non	non	ADJ
bibechana-72570	33	28	-	-	ADJ
bibechana-72570	33	29	linear	linear	ADJ
bibechana-72570	33	30	and	and	CCONJ
bibechana-72570	33	31	chaotic	chaotic	ADJ
bibechana-72570	33	32	behavior	behavior	NOUN
bibechana-72570	33	33	.	.	PUNCT
bibechana-72570	34	1	while	while	SCONJ
bibechana-72570	34	2	many	many	ADJ
bibechana-72570	34	3	studies	study	NOUN
bibechana-72570	34	4	have	have	AUX
bibechana-72570	34	5	analyzed	analyze	VERB
bibechana-72570	34	6	these	these	DET
bibechana-72570	34	7	behaviors	behavior	NOUN
bibechana-72570	34	8	separately	separately	ADV
bibechana-72570	34	9	,	,	PUNCT
bibechana-72570	34	10	a	a	DET
bibechana-72570	34	11	comprehensive	comprehensive	ADJ
bibechana-72570	34	12	computational	computational	ADJ
bibechana-72570	34	13	study	study	NOUN
bibechana-72570	34	14	that	that	PRON
bibechana-72570	34	15	systematically	systematically	ADV
bibechana-72570	34	16	examines	examine	VERB
bibechana-72570	34	17	the	the	DET
bibechana-72570	34	18	transition	transition	NOUN
bibechana-72570	34	19	from	from	ADP
bibechana-72570	34	20	linear	linear	ADJ
bibechana-72570	34	21	motion	motion	NOUN
bibechana-72570	34	22	to	to	ADP
bibechana-72570	34	23	non	non	ADJ
bibechana-72570	34	24	-	-	ADJ
bibechana-72570	34	25	linearity	linearity	NOUN
bibechana-72570	34	26	and	and	CCONJ
bibechana-72570	34	27	chaos	chaos	NOUN
bibechana-72570	34	28	is	be	AUX
bibechana-72570	34	29	still	still	ADV
bibechana-72570	34	30	lacking	lack	VERB
bibechana-72570	34	31	.	.	PUNCT
bibechana-72570	35	1	this	this	DET
bibechana-72570	35	2	work	work	NOUN
bibechana-72570	35	3	has	have	AUX
bibechana-72570	35	4	employed	employ	VERB
bibechana-72570	35	5	the	the	DET
bibechana-72570	35	6	numerical	numerical	ADJ
bibechana-72570	35	7	technique	technique	NOUN
bibechana-72570	35	8	runge	runge	NOUN
bibechana-72570	35	9	-	-	PUNCT
bibechana-72570	35	10	kutta	kutta	NOUN
bibechana-72570	35	11	method	method	NOUN
bibechana-72570	35	12	to	to	PART
bibechana-72570	35	13	investigate	investigate	VERB
bibechana-72570	35	14	chaotic	chaotic	ADJ
bibechana-72570	35	15	behavior	behavior	NOUN
bibechana-72570	35	16	in	in	ADP
bibechana-72570	35	17	pendulums	pendulum	NOUN
bibechana-72570	35	18	,	,	PUNCT
bibechana-72570	35	19	but	but	CCONJ
bibechana-72570	35	20	further	further	ADJ
bibechana-72570	35	21	exploration	exploration	NOUN
bibechana-72570	35	22	is	be	AUX
bibechana-72570	35	23	required	require	VERB
bibechana-72570	35	24	to	to	PART
bibechana-72570	35	25	fill	fill	VERB
bibechana-72570	35	26	the	the	DET
bibechana-72570	35	27	gap	gap	NOUN
bibechana-72570	35	28	between	between	ADP
bibechana-72570	35	29	classical	classical	ADJ
bibechana-72570	35	30	and	and	CCONJ
bibechana-72570	35	31	modern	modern	ADJ
bibechana-72570	35	32	computational	computational	ADJ
bibechana-72570	35	33	approaches	approach	NOUN
bibechana-72570	35	34	.	.	PUNCT
bibechana-72570	36	1	this	this	DET
bibechana-72570	36	2	study	study	NOUN
bibechana-72570	36	3	aims	aim	VERB
bibechana-72570	36	4	to	to	PART
bibechana-72570	36	5	address	address	VERB
bibechana-72570	36	6	this	this	DET
bibechana-72570	36	7	gap	gap	NOUN
bibechana-72570	36	8	by	by	ADP
bibechana-72570	36	9	employing	employ	VERB
bibechana-72570	36	10	a	a	DET
bibechana-72570	36	11	computational	computational	ADJ
bibechana-72570	36	12	framework	framework	NOUN
bibechana-72570	36	13	to	to	PART
bibechana-72570	36	14	analyze	analyze	VERB
bibechana-72570	36	15	phasespace	phasespace	NOUN
bibechana-72570	36	16	trajectories	trajectory	NOUN
bibechana-72570	36	17	and	and	CCONJ
bibechana-72570	36	18	quantify	quantify	VERB
bibechana-72570	36	19	the	the	DET
bibechana-72570	36	20	transition	transition	NOUN
bibechana-72570	36	21	from	from	ADP
bibechana-72570	36	22	periodic	periodic	NOUN
bibechana-72570	36	23	to	to	ADP
bibechana-72570	36	24	chaotic	chaotic	ADJ
bibechana-72570	36	25	motion	motion	NOUN
bibechana-72570	36	26	.	.	PUNCT
bibechana-72570	37	1	understanding	understand	VERB
bibechana-72570	37	2	these	these	DET
bibechana-72570	37	3	transitions	transition	NOUN
bibechana-72570	37	4	has	have	VERB
bibechana-72570	37	5	important	important	ADJ
bibechana-72570	37	6	applications	application	NOUN
bibechana-72570	37	7	in	in	ADP
bibechana-72570	37	8	fields	field	NOUN
bibechana-72570	37	9	such	such	ADJ
bibechana-72570	37	10	as	as	ADP
bibechana-72570	37	11	seismology	seismology	NOUN
bibechana-72570	37	12	,	,	PUNCT
bibechana-72570	37	13	robotics	robotic	NOUN
bibechana-72570	37	14	,	,	PUNCT
bibechana-72570	37	15	and	and	CCONJ
bibechana-72570	37	16	precision	precision	NOUN
bibechana-72570	37	17	timekeeping	timekeeping	NOUN
bibechana-72570	37	18	,	,	PUNCT
bibechana-72570	37	19	where	where	SCONJ
bibechana-72570	37	20	chaotic	chaotic	ADJ
bibechana-72570	37	21	oscillations	oscillation	NOUN
bibechana-72570	37	22	impact	impact	NOUN
bibechana-72570	37	23	system	system	NOUN
bibechana-72570	37	24	stability	stability	NOUN
bibechana-72570	37	25	and	and	CCONJ
bibechana-72570	37	26	performance	performance	NOUN
bibechana-72570	37	27	.	.	PUNCT
bibechana-72570	38	1	2	2	NUM
bibechana-72570	38	2	materials	material	NOUN
bibechana-72570	38	3	and	and	CCONJ
bibechana-72570	38	4	methods	method	NOUN
bibechana-72570	38	5	a	a	DET
bibechana-72570	38	6	simple	simple	ADJ
bibechana-72570	38	7	pendulum	pendulum	NOUN
bibechana-72570	38	8	is	be	AUX
bibechana-72570	38	9	a	a	DET
bibechana-72570	38	10	heavy	heavy	ADJ
bibechana-72570	38	11	-	-	PUNCT
bibechana-72570	38	12	point	point	NOUN
bibechana-72570	38	13	object	object	NOUN
bibechana-72570	38	14	suspended	suspend	VERB
bibechana-72570	38	15	by	by	ADP
bibechana-72570	38	16	a	a	DET
bibechana-72570	38	17	flexible	flexible	ADJ
bibechana-72570	38	18	,	,	PUNCT
bibechana-72570	38	19	weightless	weightless	NOUN
bibechana-72570	38	20	,	,	PUNCT
bibechana-72570	38	21	and	and	CCONJ
bibechana-72570	38	22	inextensible	inextensible	ADJ
bibechana-72570	38	23	string	string	NOUN
bibechana-72570	38	24	that	that	PRON
bibechana-72570	38	25	can	can	AUX
bibechana-72570	38	26	oscillate	oscillate	VERB
bibechana-72570	38	27	freely	freely	ADV
bibechana-72570	38	28	in	in	ADP
bibechana-72570	38	29	a	a	DET
bibechana-72570	38	30	vertical	vertical	ADJ
bibechana-72570	38	31	plane	plane	NOUN
bibechana-72570	38	32	.	.	PUNCT
bibechana-72570	39	1	when	when	SCONJ
bibechana-72570	39	2	a	a	DET
bibechana-72570	39	3	bob	bob	NOUN
bibechana-72570	39	4	of	of	ADP
bibechana-72570	39	5	a	a	DET
bibechana-72570	39	6	simple	simple	ADJ
bibechana-72570	39	7	pendulum	pendulum	NOUN
bibechana-72570	39	8	is	be	AUX
bibechana-72570	39	9	displaced	displace	VERB
bibechana-72570	39	10	through	through	ADP
bibechana-72570	39	11	a	a	DET
bibechana-72570	39	12	small	small	ADJ
bibechana-72570	39	13	angle	angle	NOUN
bibechana-72570	39	14	from	from	ADP
bibechana-72570	39	15	its	its	PRON
bibechana-72570	39	16	mean	mean	ADJ
bibechana-72570	39	17	position	position	NOUN
bibechana-72570	39	18	,	,	PUNCT
bibechana-72570	39	19	then	then	ADV
bibechana-72570	39	20	it	it	PRON
bibechana-72570	39	21	begins	begin	VERB
bibechana-72570	39	22	to	to	PART
bibechana-72570	39	23	vibrate	vibrate	VERB
bibechana-72570	39	24	around	around	ADP
bibechana-72570	39	25	its	its	PRON
bibechana-72570	39	26	mean	mean	ADJ
bibechana-72570	39	27	position	position	NOUN
bibechana-72570	39	28	.	.	PUNCT
bibechana-72570	40	1	such	such	ADJ
bibechana-72570	40	2	motion	motion	NOUN
bibechana-72570	40	3	of	of	ADP
bibechana-72570	40	4	the	the	DET
bibechana-72570	40	5	point	point	NOUN
bibechana-72570	40	6	mass	mass	NOUN
bibechana-72570	40	7	is	be	AUX
bibechana-72570	40	8	called	call	VERB
bibechana-72570	40	9	simple	simple	ADJ
bibechana-72570	40	10	harmonic	harmonic	ADJ
bibechana-72570	40	11	motion	motion	NOUN
bibechana-72570	40	12	.	.	PUNCT
bibechana-72570	41	1	suppose	suppose	VERB
bibechana-72570	41	2	a	a	DET
bibechana-72570	41	3	bob	bob	NOUN
bibechana-72570	41	4	of	of	ADP
bibechana-72570	41	5	a	a	DET
bibechana-72570	41	6	simple	simple	ADJ
bibechana-72570	41	7	pendulum	pendulum	NOUN
bibechana-72570	41	8	of	of	ADP
bibechana-72570	41	9	mass	mass	ADJ
bibechana-72570	41	10	‘	'	PUNCT
bibechana-72570	41	11	m	m	NOUN
bibechana-72570	41	12	’	'	PUNCT
bibechana-72570	41	13	whose	whose	DET
bibechana-72570	41	14	effective	effective	ADJ
bibechana-72570	41	15	length	length	NOUN
bibechana-72570	41	16	is	be	AUX
bibechana-72570	41	17	‘	'	PUNCT
bibechana-72570	41	18	l	l	NOUN
bibechana-72570	41	19	’	'	PUNCT
bibechana-72570	41	20	.	.	PUNCT
bibechana-72570	42	1	let	let	VERB
bibechana-72570	42	2	the	the	DET
bibechana-72570	42	3	bob	bob	NOUN
bibechana-72570	42	4	be	be	AUX
bibechana-72570	42	5	displaced	displace	VERB
bibechana-72570	42	6	through	through	ADP
bibechana-72570	42	7	‘	'	PUNCT
bibechana-72570	42	8	x	x	X
bibechana-72570	42	9	’	'	PUNCT
bibechana-72570	42	10	such	such	ADJ
bibechana-72570	42	11	that	that	SCONJ
bibechana-72570	42	12	the	the	DET
bibechana-72570	42	13	angle	angle	NOUN
bibechana-72570	42	14	θ	θ	PROPN
bibechana-72570	42	15	is	be	AUX
bibechana-72570	42	16	very	very	ADV
bibechana-72570	42	17	small	small	ADJ
bibechana-72570	42	18	.	.	PUNCT
bibechana-72570	43	1	then	then	ADV
bibechana-72570	43	2	various	various	ADJ
bibechana-72570	43	3	forces	force	NOUN
bibechana-72570	43	4	acting	act	VERB
bibechana-72570	43	5	on	on	ADP
bibechana-72570	43	6	the	the	DET
bibechana-72570	43	7	bob	bob	NOUN
bibechana-72570	43	8	are	be	AUX
bibechana-72570	43	9	:	:	PUNCT
bibechana-72570	43	10	1	1	X
bibechana-72570	43	11	.	.	X
bibechana-72570	43	12	weight	weight	NOUN
bibechana-72570	43	13	‘	'	PUNCT
bibechana-72570	43	14	mg	mg	NOUN
bibechana-72570	43	15	’	'	PUNCT
bibechana-72570	43	16	acting	act	VERB
bibechana-72570	43	17	vertically	vertically	ADV
bibechana-72570	43	18	downward	downward	ADJ
bibechana-72570	43	19	.	.	PUNCT
bibechana-72570	44	1	2	2	X
bibechana-72570	44	2	.	.	X
bibechana-72570	44	3	tension	tension	NOUN
bibechana-72570	44	4	’	'	PUNCT
bibechana-72570	44	5	t	t	PROPN
bibechana-72570	44	6	’	'	PUNCT
bibechana-72570	44	7	acting	act	VERB
bibechana-72570	44	8	on	on	ADP
bibechana-72570	44	9	a	a	DET
bibechana-72570	44	10	string	string	NOUN
bibechana-72570	44	11	towards	towards	ADP
bibechana-72570	44	12	the	the	DET
bibechana-72570	44	13	point	point	NOUN
bibechana-72570	44	14	of	of	ADP
bibechana-72570	44	15	suspension	suspension	NOUN
bibechana-72570	44	16	here	here	ADV
bibechana-72570	44	17	,	,	PUNCT
bibechana-72570	44	18	weight	weight	NOUN
bibechana-72570	44	19	‘	'	PUNCT
bibechana-72570	44	20	mg	mg	NUM
bibechana-72570	44	21	’	'	PUNCT
bibechana-72570	44	22	can	can	AUX
bibechana-72570	44	23	be	be	AUX
bibechana-72570	44	24	resolved	resolve	VERB
bibechana-72570	44	25	into	into	ADP
bibechana-72570	44	26	two	two	NUM
bibechana-72570	44	27	components	component	NOUN
bibechana-72570	44	28	.	.	PUNCT
bibechana-72570	45	1	the	the	DET
bibechana-72570	45	2	component	component	NOUN
bibechana-72570	45	3	mgcosθ	mgcosθ	VERB
bibechana-72570	45	4	balances	balance	NOUN
bibechana-72570	45	5	tension	tension	NOUN
bibechana-72570	45	6	t	t	PROPN
bibechana-72570	45	7	,	,	PUNCT
bibechana-72570	45	8	and	and	CCONJ
bibechana-72570	45	9	another	another	DET
bibechana-72570	45	10	component	component	NOUN
bibechana-72570	45	11	mgsinθ	mgsinθ	NOUN
bibechana-72570	45	12	is	be	AUX
bibechana-72570	45	13	restoring	restore	VERB
bibechana-72570	45	14	force	force	NOUN
bibechana-72570	45	15	,	,	PUNCT
bibechana-72570	45	16	which	which	PRON
bibechana-72570	45	17	causes	cause	VERB
bibechana-72570	45	18	the	the	DET
bibechana-72570	45	19	oscillation	oscillation	NOUN
bibechana-72570	45	20	of	of	ADP
bibechana-72570	45	21	the	the	DET
bibechana-72570	45	22	simple	simple	ADJ
bibechana-72570	45	23	pendulum	pendulum	NOUN
bibechana-72570	45	24	.	.	PUNCT
bibechana-72570	46	1	according	accord	VERB
bibechana-72570	46	2	to	to	ADP
bibechana-72570	46	3	newton	newton	PROPN
bibechana-72570	46	4	’s	’s	PART
bibechana-72570	46	5	second	second	ADJ
bibechana-72570	46	6	law	law	NOUN
bibechana-72570	46	7	,	,	PUNCT
bibechana-72570	46	8	f	f	PROPN
bibechana-72570	46	9	=	=	PUNCT
bibechana-72570	46	10	ma	ma	PROPN
bibechana-72570	46	11	=	=	PROPN
bibechana-72570	47	1	m	m	PROPN
bibechana-72570	47	2	d2x	d2x	PROPN
bibechana-72570	47	3	dt2	dt2	PROPN
bibechana-72570	47	4	m	m	PROPN
bibechana-72570	47	5	d2x	d2x	PROPN
bibechana-72570	47	6	dt2	dt2	PROPN
bibechana-72570	48	1	=	=	PUNCT
bibechana-72570	48	2	−mgsinθ	−mgsinθ	VERB
bibechana-72570	48	3	the	the	DET
bibechana-72570	48	4	negative	negative	ADJ
bibechana-72570	48	5	sign	sign	NOUN
bibechana-72570	48	6	indicates	indicate	VERB
bibechana-72570	48	7	that	that	SCONJ
bibechana-72570	48	8	restoring	restore	VERB
bibechana-72570	48	9	force	force	NOUN
bibechana-72570	48	10	and	and	CCONJ
bibechana-72570	48	11	displacement	displacement	NOUN
bibechana-72570	48	12	are	be	AUX
bibechana-72570	48	13	in	in	ADP
bibechana-72570	48	14	opposite	opposite	ADJ
bibechana-72570	48	15	directions	direction	NOUN
bibechana-72570	48	16	.	.	PUNCT
bibechana-72570	49	1	if	if	SCONJ
bibechana-72570	49	2	we	we	PRON
bibechana-72570	49	3	have	have	AUX
bibechana-72570	49	4	x	x	NOUN
bibechana-72570	49	5	=	=	PRON
bibechana-72570	49	6	lθ	lθ	X
bibechana-72570	49	7	then	then	ADV
bibechana-72570	49	8	above	above	ADP
bibechana-72570	49	9	equation	equation	NOUN
bibechana-72570	49	10	becomes	become	VERB
bibechana-72570	49	11	ml	ml	ADP
bibechana-72570	49	12	d2θ	d2θ	PROPN
bibechana-72570	49	13	dt2	dt2	PROPN
bibechana-72570	50	1	=	=	PUNCT
bibechana-72570	50	2	−mgsinθ	−mgsinθ	X
bibechana-72570	50	3	d2θ	d2θ	PROPN
bibechana-72570	50	4	dt2	dt2	PROPN
bibechana-72570	50	5	=	=	PUNCT
bibechana-72570	50	6	−g	−g	PROPN
bibechana-72570	50	7	l	l	NOUN
bibechana-72570	50	8	sinθ	sinθ	PROPN
bibechana-72570	50	9	(	(	PUNCT
bibechana-72570	50	10	1	1	X
bibechana-72570	50	11	)	)	PUNCT
bibechana-72570	50	12	chhabi	chhabi	NOUN
bibechana-72570	50	13	kumar	kumar	PROPN
bibechana-72570	50	14	shrestha	shrestha	PROPN
bibechana-72570	50	15	et	et	PROPN
bibechana-72570	51	1	al./	al./	ADV
bibechana-72570	51	2	bibechana	bibechana	PROPN
bibechana-72570	51	3	22	22	NUM
bibechana-72570	51	4	(	(	PUNCT
bibechana-72570	51	5	2025	2025	NUM
bibechana-72570	51	6	)	)	PUNCT
bibechana-72570	51	7	116	116	NUM
bibechana-72570	51	8	-	-	SYM
bibechana-72570	51	9	121	121	NUM
bibechana-72570	51	10	118	118	NUM
bibechana-72570	51	11	using	use	VERB
bibechana-72570	51	12	maclaurin	maclaurin	NOUN
bibechana-72570	51	13	’s	’s	PART
bibechana-72570	51	14	theorem	theorem	NOUN
bibechana-72570	51	15	,	,	PUNCT
bibechana-72570	51	16	we	we	PRON
bibechana-72570	51	17	get	get	VERB
bibechana-72570	51	18	,	,	PUNCT
bibechana-72570	51	19	d2θ	d2θ	PROPN
bibechana-72570	51	20	dt2	dt2	PROPN
bibechana-72570	51	21	=	=	PUNCT
bibechana-72570	51	22	−g	−g	PROPN
bibechana-72570	51	23	l	l	NOUN
bibechana-72570	51	24	(	(	PUNCT
bibechana-72570	51	25	θ	θ	PROPN
bibechana-72570	51	26	−	−	PROPN
bibechana-72570	51	27	θ3	θ3	PROPN
bibechana-72570	51	28	3	3	NUM
bibechana-72570	51	29	!	!	PUNCT
bibechana-72570	52	1	+	+	CCONJ
bibechana-72570	52	2	θ5	θ5	NOUN
bibechana-72570	52	3	5	5	NUM
bibechana-72570	52	4	!	!	PUNCT
bibechana-72570	52	5	−	−	PROPN
bibechana-72570	52	6	......	......	PUNCT
bibechana-72570	52	7	)	)	PUNCT
bibechana-72570	53	1	(	(	PUNCT
bibechana-72570	53	2	2	2	X
bibechana-72570	53	3	)	)	PUNCT
bibechana-72570	53	4	taking	take	VERB
bibechana-72570	53	5	the	the	DET
bibechana-72570	53	6	first	first	ADJ
bibechana-72570	53	7	term	term	NOUN
bibechana-72570	53	8	of	of	ADP
bibechana-72570	53	9	the	the	DET
bibechana-72570	53	10	right	right	ADJ
bibechana-72570	53	11	-	-	PUNCT
bibechana-72570	53	12	hand	hand	NOUN
bibechana-72570	53	13	side	side	NOUN
bibechana-72570	53	14	,	,	PUNCT
bibechana-72570	53	15	we	we	PRON
bibechana-72570	53	16	get	get	VERB
bibechana-72570	53	17	,	,	PUNCT
bibechana-72570	53	18	θ̈	θ̈	CCONJ
bibechana-72570	53	19	=	=	SYM
bibechana-72570	53	20	−g	−g	NOUN
bibechana-72570	53	21	l	l	NOUN
bibechana-72570	53	22	θ	θ	X
bibechana-72570	53	23	(	(	PUNCT
bibechana-72570	53	24	3	3	NUM
bibechana-72570	53	25	)	)	PUNCT
bibechana-72570	53	26	which	which	PRON
bibechana-72570	53	27	has	have	VERB
bibechana-72570	53	28	the	the	DET
bibechana-72570	53	29	solution	solution	NOUN
bibechana-72570	53	30	of	of	ADP
bibechana-72570	53	31	the	the	DET
bibechana-72570	53	32	form	form	NOUN
bibechana-72570	53	33	θ(t	θ(t	PROPN
bibechana-72570	53	34	)	)	PUNCT
bibechana-72570	53	35	=	=	SYM
bibechana-72570	53	36	θ0cos	θ0co	NOUN
bibechana-72570	53	37	√	√	PROPN
bibechana-72570	53	38	g	g	PROPN
bibechana-72570	53	39	l	l	PROPN
bibechana-72570	53	40	t	t	PROPN
bibechana-72570	53	41	(	(	PUNCT
bibechana-72570	53	42	4	4	X
bibechana-72570	53	43	)	)	PUNCT
bibechana-72570	53	44	its	its	PRON
bibechana-72570	53	45	time	time	NOUN
bibechana-72570	53	46	period	period	NOUN
bibechana-72570	53	47	is	be	AUX
bibechana-72570	53	48	t	t	NOUN
bibechana-72570	53	49	=	=	PUNCT
bibechana-72570	53	50	2π	2π	NOUN
bibechana-72570	53	51	√	√	NUM
bibechana-72570	53	52	l	l	NOUN
bibechana-72570	53	53	g	g	PROPN
bibechana-72570	54	1	[	[	X
bibechana-72570	54	2	6	6	NUM
bibechana-72570	54	3	]	]	SYM
bibechana-72570	54	4	2.1	2.1	NUM
bibechana-72570	54	5	damped	damped	NOUN
bibechana-72570	54	6	harmonic	harmonic	ADJ
bibechana-72570	54	7	oscillator	oscillator	NOUN
bibechana-72570	54	8	a	a	DET
bibechana-72570	54	9	harmonic	harmonic	ADJ
bibechana-72570	54	10	oscillator	oscillator	NOUN
bibechana-72570	54	11	is	be	AUX
bibechana-72570	54	12	called	call	VERB
bibechana-72570	54	13	a	a	DET
bibechana-72570	54	14	damped	damp	VERB
bibechana-72570	54	15	harmonic	harmonic	ADJ
bibechana-72570	54	16	oscillator	oscillator	NOUN
bibechana-72570	54	17	in	in	ADP
bibechana-72570	54	18	which	which	PRON
bibechana-72570	54	19	the	the	DET
bibechana-72570	54	20	oscillations	oscillation	NOUN
bibechana-72570	54	21	are	be	AUX
bibechana-72570	54	22	damped	damp	VERB
bibechana-72570	54	23	on	on	ADP
bibechana-72570	54	24	account	account	NOUN
bibechana-72570	54	25	of	of	ADP
bibechana-72570	54	26	a	a	DET
bibechana-72570	54	27	resistive	resistive	ADJ
bibechana-72570	54	28	or	or	CCONJ
bibechana-72570	54	29	damping	damp	VERB
bibechana-72570	54	30	force	force	NOUN
bibechana-72570	54	31	,	,	PUNCT
bibechana-72570	54	32	with	with	ADP
bibechana-72570	54	33	its	its	PRON
bibechana-72570	54	34	amplitude	amplitude	NOUN
bibechana-72570	54	35	progressively	progressively	ADV
bibechana-72570	54	36	decreasing	decrease	VERB
bibechana-72570	54	37	to	to	ADP
bibechana-72570	54	38	zero	zero	NUM
bibechana-72570	54	39	.	.	PUNCT
bibechana-72570	55	1	when	when	SCONJ
bibechana-72570	55	2	a	a	DET
bibechana-72570	55	3	simple	simple	ADJ
bibechana-72570	55	4	harmonic	harmonic	ADJ
bibechana-72570	55	5	oscillator	oscillator	NOUN
bibechana-72570	55	6	is	be	AUX
bibechana-72570	55	7	subjected	subject	VERB
bibechana-72570	55	8	to	to	ADP
bibechana-72570	55	9	a	a	DET
bibechana-72570	55	10	damping	damp	VERB
bibechana-72570	55	11	force	force	NOUN
bibechana-72570	55	12	that	that	PRON
bibechana-72570	55	13	is	be	AUX
bibechana-72570	55	14	proportional	proportional	ADJ
bibechana-72570	55	15	to	to	ADP
bibechana-72570	55	16	its	its	PRON
bibechana-72570	55	17	velocity	velocity	NOUN
bibechana-72570	55	18	and	and	CCONJ
bibechana-72570	55	19	an	an	DET
bibechana-72570	55	20	external	external	ADJ
bibechana-72570	55	21	periodic	periodic	ADJ
bibechana-72570	55	22	force	force	NOUN
bibechana-72570	55	23	,	,	PUNCT
bibechana-72570	55	24	then	then	ADV
bibechana-72570	55	25	we	we	PRON
bibechana-72570	55	26	write	write	VERB
bibechana-72570	55	27	an	an	DET
bibechana-72570	55	28	equation	equation	NOUN
bibechana-72570	55	29	of	of	ADP
bibechana-72570	55	30	its	its	PRON
bibechana-72570	55	31	motion	motion	NOUN
bibechana-72570	55	32	[	[	X
bibechana-72570	55	33	7	7	NUM
bibechana-72570	55	34	]	]	PUNCT
bibechana-72570	55	35	.	.	PUNCT
bibechana-72570	56	1	d2x	d2x	PROPN
bibechana-72570	56	2	dt2	dt2	PROPN
bibechana-72570	56	3	+	+	CCONJ
bibechana-72570	56	4	γ	γ	X
bibechana-72570	56	5	dx	dx	PROPN
bibechana-72570	56	6	dt	dt	PROPN
bibechana-72570	56	7	+	+	CCONJ
bibechana-72570	56	8	ω2	ω2	ADJ
bibechana-72570	56	9	0x	0x	NOUN
bibechana-72570	56	10	=	=	PUNCT
bibechana-72570	56	11	a0sinwt	a0sinwt	PROPN
bibechana-72570	56	12	(	(	PUNCT
bibechana-72570	56	13	5	5	NUM
bibechana-72570	56	14	)	)	PUNCT
bibechana-72570	57	1	where	where	SCONJ
bibechana-72570	57	2	f	f	PROPN
bibechana-72570	57	3	(	(	PUNCT
bibechana-72570	57	4	t	t	PROPN
bibechana-72570	57	5	)	)	PUNCT
bibechana-72570	57	6	=	=	PUNCT
bibechana-72570	57	7	ma0sinwt	ma0sinwt	PROPN
bibechana-72570	57	8	is	be	AUX
bibechana-72570	57	9	the	the	DET
bibechana-72570	57	10	driving	drive	VERB
bibechana-72570	57	11	force	force	NOUN
bibechana-72570	57	12	with	with	ADP
bibechana-72570	57	13	angular	angular	ADJ
bibechana-72570	57	14	frequency	frequency	NOUN
bibechana-72570	57	15	ω.in	ω.in	NOUN
bibechana-72570	57	16	the	the	DET
bibechana-72570	57	17	absence	absence	NOUN
bibechana-72570	57	18	of	of	ADP
bibechana-72570	57	19	driving	drive	VERB
bibechana-72570	57	20	force	force	NOUN
bibechana-72570	57	21	i.e.	i.e.	ADV
bibechana-72570	57	22	,	,	PUNCT
bibechana-72570	57	23	at	at	ADP
bibechana-72570	57	24	a	a	DET
bibechana-72570	57	25	=	=	SYM
bibechana-72570	57	26	0	0	NUM
bibechana-72570	57	27	,	,	PUNCT
bibechana-72570	57	28	the	the	DET
bibechana-72570	57	29	real	real	ADJ
bibechana-72570	57	30	solutions	solution	NOUN
bibechana-72570	57	31	of	of	ADP
bibechana-72570	57	32	equation	equation	NOUN
bibechana-72570	57	33	(	(	PUNCT
bibechana-72570	57	34	7)at	7)at	NUM
bibechana-72570	57	35	t	t	NOUN
bibechana-72570	57	36	→	→	SYM
bibechana-72570	57	37	∞	∞	PROPN
bibechana-72570	57	38	are	be	AUX
bibechana-72570	57	39	:	:	PUNCT
bibechana-72570	57	40	x0(t	x0(t	NUM
bibechana-72570	57	41	)	)	PUNCT
bibechana-72570	57	42	=	=	PUNCT
bibechana-72570	58	1	c1e	c1e	NOUN
bibechana-72570	58	2	−(γ+	−(γ+	NOUN
bibechana-72570	58	3	√	√	ADP
bibechana-72570	58	4	γ2−4ω2	γ2−4ω2	NOUN
bibechana-72570	58	5	0)t/2+c2e	0)t/2+c2e	NUM
bibechana-72570	59	1	−(γ−	−(γ−	NOUN
bibechana-72570	59	2	√	√	VERB
bibechana-72570	59	3	γ2−4ω2	γ2−4ω2	NOUN
bibechana-72570	59	4	0)t/2	0)t/2	NUM
bibechana-72570	59	5	,	,	PUNCT
bibechana-72570	59	6	γ2	γ2	NOUN
bibechana-72570	59	7	−	−	PROPN
bibechana-72570	59	8	4w2	4w2	NOUN
bibechana-72570	59	9	0	0	PUNCT
bibechana-72570	59	10	>	>	X
bibechana-72570	59	11	0	0	PUNCT
bibechana-72570	60	1	(	(	PUNCT
bibechana-72570	60	2	6	6	NUM
bibechana-72570	60	3	)	)	PUNCT
bibechana-72570	60	4	x0(t	x0(t	NUM
bibechana-72570	60	5	)	)	PUNCT
bibechana-72570	60	6	=	=	SYM
bibechana-72570	60	7	c1e	c1e	NOUN
bibechana-72570	60	8	−γt/2	−γt/2	CCONJ
bibechana-72570	60	9	+	+	CCONJ
bibechana-72570	60	10	c2e	c2e	PROPN
bibechana-72570	60	11	−γt/2	−γt/2	PROPN
bibechana-72570	60	12	,	,	PUNCT
bibechana-72570	60	13	γ2	γ2	NOUN
bibechana-72570	60	14	−	−	PROPN
bibechana-72570	60	15	4w2	4w2	NOUN
bibechana-72570	60	16	0	0	NUM
bibechana-72570	61	1	=	=	SYM
bibechana-72570	61	2	0	0	NUM
bibechana-72570	61	3	(	(	PUNCT
bibechana-72570	61	4	7	7	NUM
bibechana-72570	61	5	)	)	PUNCT
bibechana-72570	61	6	x0(t	x0(t	NUM
bibechana-72570	61	7	)	)	PUNCT
bibechana-72570	61	8	=	=	SYM
bibechana-72570	61	9	c1e	c1e	PROPN
bibechana-72570	61	10	−γt/2cos	−γt/2cos	PROPN
bibechana-72570	61	11	(	(	PUNCT
bibechana-72570	61	12	√	√	PROPN
bibechana-72570	61	13	−γ2	−γ2	PROPN
bibechana-72570	61	14	+	+	NUM
bibechana-72570	61	15	4ω2	4ω2	NUM
bibechana-72570	61	16	0t/2	0t/2	NUM
bibechana-72570	61	17	)	)	PUNCT
bibechana-72570	62	1	+	+	CCONJ
bibechana-72570	62	2	c2e	c2e	PROPN
bibechana-72570	62	3	−γt/2cos	−γt/2cos	PROPN
bibechana-72570	62	4	(	(	PUNCT
bibechana-72570	62	5	√	√	NUM
bibechana-72570	62	6	−γ2	−γ2	PROPN
bibechana-72570	62	7	+	+	NUM
bibechana-72570	62	8	4ω2	4ω2	NUM
bibechana-72570	62	9	0t/2	0t/2	NUM
bibechana-72570	62	10	)	)	PUNCT
bibechana-72570	63	1	γ2	γ2	NOUN
bibechana-72570	63	2	−	−	NOUN
bibechana-72570	63	3	4w2	4w2	NOUN
bibechana-72570	63	4	0	0	PUNCT
bibechana-72570	64	1	<	<	X
bibechana-72570	64	2	0	0	PUNCT
bibechana-72570	65	1	(	(	PUNCT
bibechana-72570	65	2	8)	8)	NUM
bibechana-72570	65	3	if	if	SCONJ
bibechana-72570	65	4	a0	a0	PROPN
bibechana-72570	65	5	>	>	X
bibechana-72570	65	6	0	0	PROPN
bibechana-72570	65	7	,	,	PUNCT
bibechana-72570	65	8	then	then	ADV
bibechana-72570	65	9	the	the	DET
bibechana-72570	65	10	general	general	ADJ
bibechana-72570	65	11	solution	solution	NOUN
bibechana-72570	65	12	is	be	AUX
bibechana-72570	65	13	obtained	obtain	VERB
bibechana-72570	65	14	from	from	ADP
bibechana-72570	65	15	the	the	DET
bibechana-72570	65	16	sum	sum	NOUN
bibechana-72570	65	17	of	of	ADP
bibechana-72570	65	18	the	the	DET
bibechana-72570	65	19	special	special	ADJ
bibechana-72570	65	20	solution	solution	NOUN
bibechana-72570	65	21	,	,	PUNCT
bibechana-72570	65	22	xs(t	xs(t	NUM
bibechana-72570	65	23	)	)	PUNCT
bibechana-72570	65	24	,	,	PUNCT
bibechana-72570	65	25	and	and	CCONJ
bibechana-72570	65	26	the	the	DET
bibechana-72570	65	27	solution	solution	NOUN
bibechana-72570	65	28	of	of	ADP
bibechana-72570	65	29	homogeneous	homogeneous	ADJ
bibechana-72570	65	30	equations	equation	NOUN
bibechana-72570	65	31	is	be	AUX
bibechana-72570	65	32	x0(t	x0(t	PROPN
bibechana-72570	65	33	)	)	PUNCT
bibechana-72570	65	34	.	.	PUNCT
bibechana-72570	66	1	the	the	DET
bibechana-72570	66	2	special	special	ADJ
bibechana-72570	66	3	solution	solution	NOUN
bibechana-72570	66	4	is	be	AUX
bibechana-72570	66	5	obtained	obtain	VERB
bibechana-72570	66	6	as	as	ADP
bibechana-72570	66	7	xs(t	xs(t	NOUN
bibechana-72570	66	8	)	)	PUNCT
bibechana-72570	66	9	=	=	SYM
bibechana-72570	66	10	asinwt+bcoswt1001[8	asinwt+bcoswt1001[8	NOUN
bibechana-72570	66	11	]	]	X
bibechana-72570	66	12	putting	put	VERB
bibechana-72570	66	13	this	this	DET
bibechana-72570	66	14	equation	equation	NOUN
bibechana-72570	66	15	in	in	ADP
bibechana-72570	66	16	equation	equation	NOUN
bibechana-72570	66	17	(	(	PUNCT
bibechana-72570	66	18	7	7	NUM
bibechana-72570	66	19	)	)	PUNCT
bibechana-72570	66	20	,	,	PUNCT
bibechana-72570	66	21	we	we	PRON
bibechana-72570	66	22	get	get	VERB
bibechana-72570	66	23	,	,	PUNCT
bibechana-72570	66	24	xx(t	xx(t	PUNCT
bibechana-72570	66	25	)	)	PUNCT
bibechana-72570	67	1	=	=	SYM
bibechana-72570	67	2	a0[(w	a0[(w	PROPN
bibechana-72570	67	3	2	2	NUM
bibechana-72570	67	4	0	0	NUM
bibechana-72570	67	5	−	−	PROPN
bibechana-72570	67	6	w2)coswt+	w2)coswt+	PROPN
bibechana-72570	67	7	γwsinwt	γwsinwt	PROPN
bibechana-72570	67	8	]	]	PUNCT
bibechana-72570	67	9	(	(	PUNCT
bibechana-72570	67	10	w2	w2	NOUN
bibechana-72570	67	11	0	0	NUM
bibechana-72570	67	12	−	−	PROPN
bibechana-72570	67	13	w2)2	w2)2	PRON
bibechana-72570	67	14	+	+	NOUN
bibechana-72570	67	15	γ2w2	γ2w2	X
bibechana-72570	67	16	(	(	PUNCT
bibechana-72570	67	17	9	9	NUM
bibechana-72570	67	18	)	)	PUNCT
bibechana-72570	67	19	so	so	ADV
bibechana-72570	67	20	,	,	PUNCT
bibechana-72570	67	21	the	the	DET
bibechana-72570	67	22	general	general	ADJ
bibechana-72570	67	23	solution	solution	NOUN
bibechana-72570	67	24	is	be	AUX
bibechana-72570	67	25	given	give	VERB
bibechana-72570	67	26	by	by	ADP
bibechana-72570	67	27	x(t	x(t	PROPN
bibechana-72570	67	28	)	)	PUNCT
bibechana-72570	67	29	=	=	SYM
bibechana-72570	67	30	x0(t	x0(t	PROPN
bibechana-72570	67	31	)	)	PUNCT
bibechana-72570	67	32	+	+	CCONJ
bibechana-72570	67	33	xs(t	xs(t	NUM
bibechana-72570	67	34	)	)	PUNCT
bibechana-72570	67	35	(	(	PUNCT
bibechana-72570	67	36	10	10	NUM
bibechana-72570	67	37	)	)	PUNCT
bibechana-72570	67	38	in	in	ADP
bibechana-72570	67	39	the	the	DET
bibechana-72570	67	40	case	case	NOUN
bibechana-72570	67	41	of	of	ADP
bibechana-72570	67	42	resonance	resonance	NOUN
bibechana-72570	67	43	without	without	ADP
bibechana-72570	67	44	damping	damp	VERB
bibechana-72570	67	45	w	w	PROPN
bibechana-72570	67	46	=	=	SYM
bibechana-72570	67	47	w0	w0	PROPN
bibechana-72570	67	48	and	and	CCONJ
bibechana-72570	67	49	γ	γ	X
bibechana-72570	67	50	=	=	SYM
bibechana-72570	67	51	0	0	NUM
bibechana-72570	67	52	.	.	PUNCT
bibechana-72570	68	1	in	in	ADP
bibechana-72570	68	2	this	this	DET
bibechana-72570	68	3	case	case	NOUN
bibechana-72570	68	4	,	,	PUNCT
bibechana-72570	68	5	the	the	DET
bibechana-72570	68	6	solution	solution	NOUN
bibechana-72570	68	7	becomes	become	VERB
bibechana-72570	68	8	x(t	x(t	PROPN
bibechana-72570	68	9	)	)	PUNCT
bibechana-72570	69	1	=	=	SYM
bibechana-72570	69	2	c1coswt+c2sinwt+	c1coswt+c2sinwt+	AUX
bibechana-72570	69	3	a0	a0	NOUN
bibechana-72570	69	4	4w2	4w2	PROPN
bibechana-72570	69	5	(	(	PUNCT
bibechana-72570	69	6	coswt+2wtsinwt	coswt+2wtsinwt	NUM
bibechana-72570	69	7	)	)	PUNCT
bibechana-72570	69	8	(	(	PUNCT
bibechana-72570	69	9	11	11	NUM
bibechana-72570	69	10	)	)	PUNCT
bibechana-72570	69	11	2.2	2.2	NUM
bibechana-72570	69	12	forced	force	VERB
bibechana-72570	69	13	damped	damped	NOUN
bibechana-72570	69	14	pendulum	pendulum	NOUN
bibechana-72570	69	15	let	let	VERB
bibechana-72570	69	16	us	we	PRON
bibechana-72570	69	17	consider	consider	VERB
bibechana-72570	69	18	a	a	DET
bibechana-72570	69	19	simple	simple	ADJ
bibechana-72570	69	20	pendulum	pendulum	NOUN
bibechana-72570	69	21	in	in	ADP
bibechana-72570	69	22	a	a	DET
bibechana-72570	69	23	uniform	uniform	ADJ
bibechana-72570	69	24	gravitational	gravitational	ADJ
bibechana-72570	69	25	field	field	NOUN
bibechana-72570	69	26	in	in	ADP
bibechana-72570	69	27	which	which	PRON
bibechana-72570	69	28	its	its	PRON
bibechana-72570	69	29	motion	motion	NOUN
bibechana-72570	69	30	is	be	AUX
bibechana-72570	69	31	damped	damp	VERB
bibechana-72570	69	32	by	by	ADP
bibechana-72570	69	33	the	the	DET
bibechana-72570	69	34	force	force	NOUN
bibechana-72570	69	35	that	that	PRON
bibechana-72570	69	36	is	be	AUX
bibechana-72570	69	37	proportional	proportional	ADJ
bibechana-72570	69	38	to	to	ADP
bibechana-72570	69	39	its	its	PRON
bibechana-72570	69	40	velocity	velocity	NOUN
bibechana-72570	69	41	and	and	CCONJ
bibechana-72570	69	42	is	be	AUX
bibechana-72570	69	43	under	under	ADP
bibechana-72570	69	44	the	the	DET
bibechana-72570	69	45	action	action	NOUN
bibechana-72570	69	46	of	of	ADP
bibechana-72570	69	47	the	the	DET
bibechana-72570	69	48	vertical	vertical	ADJ
bibechana-72570	69	49	harmonic	harmonic	ADJ
bibechana-72570	69	50	external	external	ADJ
bibechana-72570	69	51	driving	driving	NOUN
bibechana-72570	69	52	force	force	NOUN
bibechana-72570	69	53	then	then	ADV
bibechana-72570	69	54	its	its	PRON
bibechana-72570	69	55	equation	equation	NOUN
bibechana-72570	69	56	of	of	ADP
bibechana-72570	69	57	motion	motion	NOUN
bibechana-72570	69	58	becomes	become	VERB
bibechana-72570	69	59	[	[	X
bibechana-72570	69	60	9	9	NUM
bibechana-72570	69	61	]	]	PUNCT
bibechana-72570	69	62	.	.	PUNCT
bibechana-72570	70	1	d2θ	d2θ	PROPN
bibechana-72570	70	2	dt2	dt2	PROPN
bibechana-72570	70	3	+	+	CCONJ
bibechana-72570	70	4	γ	γ	PROPN
bibechana-72570	70	5	dθ	dθ	PROPN
bibechana-72570	70	6	dt	dt	PROPN
bibechana-72570	70	7	+	+	PROPN
bibechana-72570	70	8	w2	w2	NOUN
bibechana-72570	70	9	0sinθ	0sinθ	NUM
bibechana-72570	70	10	=	=	SYM
bibechana-72570	71	1	−2acoswtsinθ	−2acoswtsinθ	X
bibechana-72570	71	2	(	(	PUNCT
bibechana-72570	71	3	12	12	NUM
bibechana-72570	71	4	)	)	PUNCT
bibechana-72570	71	5	where	where	SCONJ
bibechana-72570	71	6	θ	θ	PROPN
bibechana-72570	71	7	is	be	AUX
bibechana-72570	71	8	the	the	DET
bibechana-72570	71	9	angle	angle	NOUN
bibechana-72570	71	10	made	make	VERB
bibechana-72570	71	11	by	by	ADP
bibechana-72570	71	12	the	the	DET
bibechana-72570	71	13	pendulum	pendulum	NOUN
bibechana-72570	71	14	with	with	ADP
bibechana-72570	71	15	the	the	DET
bibechana-72570	71	16	vertical	vertical	NOUN
bibechana-72570	71	17	,	,	PUNCT
bibechana-72570	71	18	γ	γ	X
bibechana-72570	71	19	is	be	AUX
bibechana-72570	71	20	the	the	DET
bibechana-72570	71	21	damping	damp	VERB
bibechana-72570	71	22	coefficient	coefficient	NOUN
bibechana-72570	71	23	,	,	PUNCT
bibechana-72570	71	24	w2	w2	NOUN
bibechana-72570	71	25	0	0	NUM
bibechana-72570	71	26	=	=	SYM
bibechana-72570	71	27	g	g	NOUN
bibechana-72570	71	28	/	/	SYM
bibechana-72570	71	29	l	l	NOUN
bibechana-72570	71	30	is	be	AUX
bibechana-72570	71	31	the	the	DET
bibechana-72570	71	32	natural	natural	ADJ
bibechana-72570	71	33	angular	angular	ADJ
bibechana-72570	71	34	frequency	frequency	NOUN
bibechana-72570	71	35	of	of	ADP
bibechana-72570	71	36	the	the	DET
bibechana-72570	71	37	simple	simple	ADJ
bibechana-72570	71	38	pendulum	pendulum	NOUN
bibechana-72570	71	39	,	,	PUNCT
bibechana-72570	71	40	ω	ω	PROPN
bibechana-72570	71	41	is	be	AUX
bibechana-72570	71	42	the	the	DET
bibechana-72570	71	43	angular	angular	ADJ
bibechana-72570	71	44	frequency	frequency	NOUN
bibechana-72570	71	45	of	of	ADP
bibechana-72570	71	46	driving	drive	VERB
bibechana-72570	71	47	force	force	NOUN
bibechana-72570	71	48	.	.	PUNCT
bibechana-72570	72	1	the	the	DET
bibechana-72570	72	2	2a	2a	NUM
bibechana-72570	72	3	is	be	AUX
bibechana-72570	72	4	the	the	DET
bibechana-72570	72	5	amplitude	amplitude	NOUN
bibechana-72570	72	6	of	of	ADP
bibechana-72570	72	7	the	the	DET
bibechana-72570	72	8	oscillation	oscillation	NOUN
bibechana-72570	72	9	.	.	PUNCT
bibechana-72570	73	1	3	3	NUM
bibechana-72570	73	2	methodology	methodology	NOUN
bibechana-72570	73	3	the	the	DET
bibechana-72570	73	4	current	current	ADJ
bibechana-72570	73	5	study	study	NOUN
bibechana-72570	73	6	is	be	AUX
bibechana-72570	73	7	both	both	PRON
bibechana-72570	73	8	computational	computational	ADJ
bibechana-72570	73	9	and	and	CCONJ
bibechana-72570	73	10	theoretical	theoretical	ADJ
bibechana-72570	73	11	in	in	ADP
bibechana-72570	73	12	nature	nature	NOUN
bibechana-72570	73	13	.	.	PUNCT
bibechana-72570	74	1	it	it	PRON
bibechana-72570	74	2	mainly	mainly	ADV
bibechana-72570	74	3	focuses	focus	VERB
bibechana-72570	74	4	on	on	ADP
bibechana-72570	74	5	the	the	DET
bibechana-72570	74	6	phasespace	phasespace	NOUN
bibechana-72570	74	7	trajectory	trajectory	NOUN
bibechana-72570	74	8	of	of	ADP
bibechana-72570	74	9	the	the	DET
bibechana-72570	74	10	chaotic	chaotic	ADJ
bibechana-72570	74	11	pendulum	pendulum	NOUN
bibechana-72570	74	12	.	.	PUNCT
bibechana-72570	75	1	using	use	VERB
bibechana-72570	75	2	the	the	DET
bibechana-72570	75	3	runge	runge	NOUN
bibechana-72570	75	4	-	-	PUNCT
bibechana-72570	75	5	kutta	kutta	NOUN
bibechana-72570	75	6	method	method	NOUN
bibechana-72570	75	7	,	,	PUNCT
bibechana-72570	75	8	a	a	DET
bibechana-72570	75	9	numerical	numerical	ADJ
bibechana-72570	75	10	solution	solution	NOUN
bibechana-72570	75	11	is	be	AUX
bibechana-72570	75	12	obtained	obtain	VERB
bibechana-72570	75	13	.	.	PUNCT
bibechana-72570	76	1	fortran	fortran	NOUN
bibechana-72570	76	2	90	90	NUM
bibechana-72570	76	3	is	be	AUX
bibechana-72570	76	4	used	use	VERB
bibechana-72570	76	5	to	to	PART
bibechana-72570	76	6	run	run	VERB
bibechana-72570	76	7	the	the	DET
bibechana-72570	76	8	file	file	NOUN
bibechana-72570	76	9	,	,	PUNCT
bibechana-72570	76	10	and	and	CCONJ
bibechana-72570	76	11	gnuplot	gnuplot	NOUN
bibechana-72570	76	12	is	be	AUX
bibechana-72570	76	13	used	use	VERB
bibechana-72570	76	14	to	to	PART
bibechana-72570	76	15	plot	plot	VERB
bibechana-72570	76	16	the	the	DET
bibechana-72570	76	17	phase	phase	NOUN
bibechana-72570	76	18	space	space	NOUN
bibechana-72570	76	19	.	.	PUNCT
bibechana-72570	77	1	fortran	fortran	NOUN
bibechana-72570	77	2	is	be	AUX
bibechana-72570	77	3	used	use	VERB
bibechana-72570	77	4	to	to	PART
bibechana-72570	77	5	program	program	VERB
bibechana-72570	77	6	scientific	scientific	ADJ
bibechana-72570	77	7	and	and	CCONJ
bibechana-72570	77	8	mathematical	mathematical	ADJ
bibechana-72570	77	9	applications	application	NOUN
bibechana-72570	77	10	.	.	PUNCT
bibechana-72570	78	1	the	the	DET
bibechana-72570	78	2	name	name	NOUN
bibechana-72570	78	3	fortran	fortran	NOUN
bibechana-72570	78	4	is	be	AUX
bibechana-72570	78	5	an	an	DET
bibechana-72570	78	6	acronym	acronym	NOUN
bibechana-72570	78	7	for	for	ADP
bibechana-72570	78	8	formula	formula	NOUN
bibechana-72570	78	9	translation	translation	NOUN
bibechana-72570	78	10	.	.	PUNCT
bibechana-72570	79	1	it	it	PRON
bibechana-72570	79	2	is	be	AUX
bibechana-72570	79	3	a	a	DET
bibechana-72570	79	4	high	high	ADJ
bibechana-72570	79	5	-	-	PUNCT
bibechana-72570	79	6	level	level	NOUN
bibechana-72570	79	7	programming	programming	NOUN
bibechana-72570	79	8	language	language	NOUN
bibechana-72570	79	9	.	.	PUNCT
bibechana-72570	80	1	there	there	PRON
bibechana-72570	80	2	have	have	AUX
bibechana-72570	80	3	been	be	AUX
bibechana-72570	80	4	different	different	ADJ
bibechana-72570	80	5	versions	version	NOUN
bibechana-72570	80	6	of	of	ADP
bibechana-72570	80	7	fortran	fortran	NOUN
bibechana-72570	80	8	since	since	SCONJ
bibechana-72570	80	9	the	the	DET
bibechana-72570	80	10	1950s	1950	NOUN
bibechana-72570	80	11	when	when	SCONJ
bibechana-72570	80	12	work	work	NOUN
bibechana-72570	80	13	on	on	ADP
bibechana-72570	80	14	it	it	PRON
bibechana-72570	80	15	began	begin	VERB
bibechana-72570	80	16	at	at	ADP
bibechana-72570	80	17	ibm	ibm	PROPN
bibechana-72570	80	18	.	.	PUNCT
bibechana-72570	81	1	the	the	DET
bibechana-72570	81	2	equation	equation	NOUN
bibechana-72570	81	3	(	(	PUNCT
bibechana-72570	81	4	1	1	X
bibechana-72570	81	5	)	)	PUNCT
bibechana-72570	81	6	can	can	AUX
bibechana-72570	81	7	be	be	AUX
bibechana-72570	81	8	solved	solve	VERB
bibechana-72570	81	9	by	by	ADP
bibechana-72570	81	10	using	use	VERB
bibechana-72570	81	11	the	the	DET
bibechana-72570	81	12	runge	runge	NOUN
bibechana-72570	81	13	-	-	PUNCT
bibechana-72570	81	14	kutta	kutta	NOUN
bibechana-72570	81	15	(	(	PUNCT
bibechana-72570	81	16	rk	rk	NOUN
bibechana-72570	81	17	)	)	PUNCT
bibechana-72570	81	18	method	method	NOUN
bibechana-72570	81	19	[	[	X
bibechana-72570	81	20	10	10	NUM
bibechana-72570	81	21	,	,	PUNCT
bibechana-72570	81	22	11].from	11].from	PROPN
bibechana-72570	81	23	the	the	DET
bibechana-72570	81	24	pedagogical	pedagogical	ADJ
bibechana-72570	81	25	perspective	perspective	NOUN
bibechana-72570	81	26	,	,	PUNCT
bibechana-72570	81	27	fortran90	fortran90	NOUN
bibechana-72570	81	28	offers	offer	VERB
bibechana-72570	81	29	a	a	DET
bibechana-72570	81	30	basic	basic	ADJ
bibechana-72570	81	31	method	method	NOUN
bibechana-72570	81	32	for	for	ADP
bibechana-72570	81	33	numerical	numerical	ADJ
bibechana-72570	81	34	computing	computing	NOUN
bibechana-72570	81	35	.	.	PUNCT
bibechana-72570	82	1	it	it	PRON
bibechana-72570	82	2	is	be	AUX
bibechana-72570	82	3	a	a	DET
bibechana-72570	82	4	well	well	ADV
bibechana-72570	82	5	-	-	PUNCT
bibechana-72570	82	6	known	know	VERB
bibechana-72570	82	7	language	language	NOUN
bibechana-72570	82	8	for	for	ADP
bibechana-72570	82	9	high	high	ADJ
bibechana-72570	82	10	-	-	PUNCT
bibechana-72570	82	11	performance	performance	NOUN
bibechana-72570	82	12	numerical	numerical	ADJ
bibechana-72570	82	13	computation	computation	NOUN
bibechana-72570	82	14	that	that	PRON
bibechana-72570	82	15	is	be	AUX
bibechana-72570	82	16	very	very	ADV
bibechana-72570	82	17	effective	effective	ADJ
bibechana-72570	82	18	at	at	ADP
bibechana-72570	82	19	solving	solve	VERB
bibechana-72570	82	20	differential	differential	ADJ
bibechana-72570	82	21	equations	equation	NOUN
bibechana-72570	82	22	involving	involve	VERB
bibechana-72570	82	23	large	large	ADJ
bibechana-72570	82	24	data	datum	NOUN
bibechana-72570	82	25	sets	set	NOUN
bibechana-72570	82	26	.	.	PUNCT
bibechana-72570	83	1	fortran	fortran	NOUN
bibechana-72570	83	2	is	be	AUX
bibechana-72570	83	3	based	base	VERB
bibechana-72570	83	4	on	on	ADP
bibechana-72570	83	5	a	a	DET
bibechana-72570	83	6	numerical	numerical	ADJ
bibechana-72570	83	7	algorithm	algorithm	NOUN
bibechana-72570	83	8	that	that	PRON
bibechana-72570	83	9	aids	aid	VERB
bibechana-72570	83	10	researchers	researcher	NOUN
bibechana-72570	83	11	and	and	CCONJ
bibechana-72570	83	12	students	student	NOUN
bibechana-72570	83	13	in	in	ADP
bibechana-72570	83	14	expanding	expand	VERB
bibechana-72570	83	15	their	their	PRON
bibechana-72570	83	16	understanding	understanding	NOUN
bibechana-72570	83	17	of	of	ADP
bibechana-72570	83	18	numerical	numerical	ADJ
bibechana-72570	83	19	analysis	analysis	NOUN
bibechana-72570	83	20	,	,	PUNCT
bibechana-72570	83	21	whereas	whereas	SCONJ
bibechana-72570	83	22	python	python	PROPN
bibechana-72570	83	23	and	and	CCONJ
bibechana-72570	83	24	matlab	matlab	PROPN
bibechana-72570	83	25	are	be	AUX
bibechana-72570	83	26	based	base	VERB
bibechana-72570	83	27	on	on	ADP
bibechana-72570	83	28	built	build	VERB
bibechana-72570	83	29	-	-	PUNCT
bibechana-72570	83	30	in	in	ADP
bibechana-72570	83	31	libraries	library	NOUN
bibechana-72570	83	32	.	.	PUNCT
bibechana-72570	84	1	fortran	fortran	NOUN
bibechana-72570	84	2	90	90	NUM
bibechana-72570	84	3	is	be	AUX
bibechana-72570	84	4	an	an	DET
bibechana-72570	84	5	excellent	excellent	ADJ
bibechana-72570	84	6	tool	tool	NOUN
bibechana-72570	84	7	for	for	ADP
bibechana-72570	84	8	solving	solve	VERB
bibechana-72570	84	9	complicated	complicated	ADJ
bibechana-72570	84	10	physical	physical	ADJ
bibechana-72570	84	11	models	model	NOUN
bibechana-72570	84	12	,	,	PUNCT
bibechana-72570	84	13	such	such	ADJ
bibechana-72570	84	14	as	as	ADP
bibechana-72570	84	15	chaotic	chaotic	ADJ
bibechana-72570	84	16	pendulums	pendulum	NOUN
bibechana-72570	84	17	,	,	PUNCT
bibechana-72570	84	18	because	because	SCONJ
bibechana-72570	84	19	it	it	PRON
bibechana-72570	84	20	offers	offer	VERB
bibechana-72570	84	21	a	a	DET
bibechana-72570	84	22	better	well	ADV
bibechana-72570	84	23	-	-	PUNCT
bibechana-72570	84	24	optimized	optimize	VERB
bibechana-72570	84	25	solution	solution	NOUN
bibechana-72570	84	26	for	for	ADP
bibechana-72570	84	27	iterative	iterative	ADJ
bibechana-72570	84	28	numerical	numerical	ADJ
bibechana-72570	84	29	computations	computation	NOUN
bibechana-72570	84	30	.	.	PUNCT
bibechana-72570	85	1	the	the	DET
bibechana-72570	85	2	simulation	simulation	NOUN
bibechana-72570	85	3	parameters	parameter	NOUN
bibechana-72570	85	4	chhabi	chhabi	PROPN
bibechana-72570	85	5	kumar	kumar	PROPN
bibechana-72570	85	6	shrestha	shrestha	PROPN
bibechana-72570	85	7	et	et	PROPN
bibechana-72570	85	8	al./	al./	ADV
bibechana-72570	85	9	bibechana	bibechana	PROPN
bibechana-72570	85	10	22	22	NUM
bibechana-72570	85	11	(	(	PUNCT
bibechana-72570	85	12	2025	2025	NUM
bibechana-72570	85	13	)	)	PUNCT
bibechana-72570	85	14	116	116	NUM
bibechana-72570	85	15	-	-	SYM
bibechana-72570	85	16	121	121	NUM
bibechana-72570	85	17	119	119	NUM
bibechana-72570	85	18	employed	employ	VERB
bibechana-72570	85	19	in	in	ADP
bibechana-72570	85	20	this	this	DET
bibechana-72570	85	21	investigation	investigation	NOUN
bibechana-72570	85	22	are	be	AUX
bibechana-72570	85	23	the	the	DET
bibechana-72570	85	24	pendulum	pendulum	NOUN
bibechana-72570	85	25	’s	’s	PART
bibechana-72570	85	26	length	length	NOUN
bibechana-72570	85	27	of	of	ADP
bibechana-72570	85	28	2.0	2.0	NUM
bibechana-72570	85	29	meters	meter	NOUN
bibechana-72570	85	30	,	,	PUNCT
bibechana-72570	85	31	damping	damp	VERB
bibechana-72570	85	32	coefficient	coefficient	NOUN
bibechana-72570	85	33	of	of	ADP
bibechana-72570	85	34	0.5	0.5	NUM
bibechana-72570	85	35	,	,	PUNCT
bibechana-72570	85	36	simulation	simulation	NOUN
bibechana-72570	85	37	time	time	NOUN
bibechana-72570	85	38	step	step	NOUN
bibechana-72570	85	39	of	of	ADP
bibechana-72570	85	40	30	30	NUM
bibechana-72570	85	41	seconds	second	NOUN
bibechana-72570	85	42	,	,	PUNCT
bibechana-72570	85	43	and	and	CCONJ
bibechana-72570	85	44	angular	angular	ADJ
bibechana-72570	85	45	velocity	velocity	NOUN
bibechana-72570	85	46	of	of	ADP
bibechana-72570	85	47	3.1	3.1	NUM
bibechana-72570	85	48	rad	rad	PROPN
bibechana-72570	85	49	/	/	SYM
bibechana-72570	85	50	sec	sec	PROPN
bibechana-72570	85	51	.	.	PUNCT
bibechana-72570	86	1	even	even	ADV
bibechana-72570	86	2	though	though	SCONJ
bibechana-72570	86	3	there	there	PRON
bibechana-72570	86	4	are	be	VERB
bibechana-72570	86	5	many	many	ADJ
bibechana-72570	86	6	numerical	numerical	ADJ
bibechana-72570	86	7	techniques	technique	NOUN
bibechana-72570	86	8	,	,	PUNCT
bibechana-72570	86	9	such	such	ADJ
bibechana-72570	86	10	as	as	ADP
bibechana-72570	86	11	euler	euler	NOUN
bibechana-72570	86	12	’s	’s	PART
bibechana-72570	86	13	method	method	NOUN
bibechana-72570	86	14	and	and	CCONJ
bibechana-72570	86	15	verlet	verlet	NOUN
bibechana-72570	86	16	integration	integration	NOUN
bibechana-72570	86	17	,	,	PUNCT
bibechana-72570	86	18	we	we	PRON
bibechana-72570	86	19	have	have	AUX
bibechana-72570	86	20	chosen	choose	VERB
bibechana-72570	86	21	to	to	PART
bibechana-72570	86	22	employ	employ	VERB
bibechana-72570	86	23	the	the	DET
bibechana-72570	86	24	rungekutta	rungekutta	NOUN
bibechana-72570	86	25	method	method	NOUN
bibechana-72570	86	26	(	(	PUNCT
bibechana-72570	86	27	rk	rk	NOUN
bibechana-72570	86	28	)	)	PUNCT
bibechana-72570	86	29	because	because	SCONJ
bibechana-72570	86	30	it	it	PRON
bibechana-72570	86	31	offers	offer	VERB
bibechana-72570	86	32	a	a	DET
bibechana-72570	86	33	higher	high	ADJ
bibechana-72570	86	34	-	-	PUNCT
bibechana-72570	86	35	order	order	NOUN
bibechana-72570	86	36	accurate	accurate	ADJ
bibechana-72570	86	37	solution	solution	NOUN
bibechana-72570	86	38	and	and	CCONJ
bibechana-72570	86	39	is	be	AUX
bibechana-72570	86	40	frequently	frequently	ADV
bibechana-72570	86	41	applied	apply	VERB
bibechana-72570	86	42	to	to	ADP
bibechana-72570	86	43	nonlinear	nonlinear	ADJ
bibechana-72570	86	44	dynamical	dynamical	ADJ
bibechana-72570	86	45	systems	system	NOUN
bibechana-72570	86	46	because	because	SCONJ
bibechana-72570	86	47	of	of	ADP
bibechana-72570	86	48	its	its	PRON
bibechana-72570	86	49	enhanced	enhanced	ADJ
bibechana-72570	86	50	stability	stability	NOUN
bibechana-72570	86	51	.	.	PUNCT
bibechana-72570	87	1	the	the	DET
bibechana-72570	87	2	first	first	ADJ
bibechana-72570	87	3	-	-	PUNCT
bibechana-72570	87	4	order	order	NOUN
bibechana-72570	87	5	euler	euler	NOUN
bibechana-72570	87	6	’s	’s	PART
bibechana-72570	87	7	approach	approach	NOUN
bibechana-72570	87	8	makes	make	VERB
bibechana-72570	87	9	it	it	PRON
bibechana-72570	87	10	less	less	ADV
bibechana-72570	87	11	precise	precise	ADJ
bibechana-72570	87	12	,	,	PUNCT
bibechana-72570	87	13	requiring	require	VERB
bibechana-72570	87	14	a	a	DET
bibechana-72570	87	15	very	very	ADV
bibechana-72570	87	16	small	small	ADJ
bibechana-72570	87	17	time	time	NOUN
bibechana-72570	87	18	step	step	NOUN
bibechana-72570	87	19	to	to	PART
bibechana-72570	87	20	minimize	minimize	VERB
bibechana-72570	87	21	errors	error	NOUN
bibechana-72570	87	22	.	.	PUNCT
bibechana-72570	88	1	it	it	PRON
bibechana-72570	88	2	is	be	AUX
bibechana-72570	88	3	not	not	PART
bibechana-72570	88	4	dependable	dependable	ADJ
bibechana-72570	88	5	for	for	ADP
bibechana-72570	88	6	long	long	ADJ
bibechana-72570	88	7	-	-	PUNCT
bibechana-72570	88	8	term	term	NOUN
bibechana-72570	88	9	simulations	simulation	NOUN
bibechana-72570	88	10	due	due	ADP
bibechana-72570	88	11	to	to	ADP
bibechana-72570	88	12	its	its	PRON
bibechana-72570	88	13	significant	significant	ADJ
bibechana-72570	88	14	truncation	truncation	NOUN
bibechana-72570	88	15	errors	error	NOUN
bibechana-72570	88	16	.	.	PUNCT
bibechana-72570	89	1	likewise	likewise	ADV
bibechana-72570	89	2	,	,	PUNCT
bibechana-72570	89	3	verlet	verlet	NOUN
bibechana-72570	89	4	integration	integration	NOUN
bibechana-72570	89	5	works	work	VERB
bibechana-72570	89	6	well	well	ADV
bibechana-72570	89	7	in	in	ADP
bibechana-72570	89	8	molecular	molecular	ADJ
bibechana-72570	89	9	dynamics	dynamic	NOUN
bibechana-72570	89	10	simulations	simulation	NOUN
bibechana-72570	89	11	but	but	CCONJ
bibechana-72570	89	12	is	be	AUX
bibechana-72570	89	13	less	less	ADV
bibechana-72570	89	14	appropriate	appropriate	ADJ
bibechana-72570	89	15	for	for	ADP
bibechana-72570	89	16	chaotic	chaotic	ADJ
bibechana-72570	89	17	differential	differential	ADJ
bibechana-72570	89	18	equations	equation	NOUN
bibechana-72570	89	19	.	.	PUNCT
bibechana-72570	90	1	4	4	NUM
bibechana-72570	90	2	results	result	NOUN
bibechana-72570	90	3	and	and	CCONJ
bibechana-72570	90	4	discussions	discussion	NOUN
bibechana-72570	90	5	in	in	ADP
bibechana-72570	90	6	this	this	DET
bibechana-72570	90	7	study	study	NOUN
bibechana-72570	90	8	entitled	entitle	VERB
bibechana-72570	90	9	“	"	PUNCT
bibechana-72570	90	10	from	from	ADP
bibechana-72570	90	11	linear	linear	PROPN
bibechana-72570	90	12	to	to	ADP
bibechana-72570	90	13	nonlinear	nonlinear	ADJ
bibechana-72570	90	14	/	/	SYM
bibechana-72570	90	15	chaotic	chaotic	ADJ
bibechana-72570	90	16	pendulum	pendulum	NOUN
bibechana-72570	90	17	:	:	PUNCT
bibechana-72570	90	18	a	a	DET
bibechana-72570	90	19	computational	computational	ADJ
bibechana-72570	90	20	study	study	NOUN
bibechana-72570	90	21	,	,	PUNCT
bibechana-72570	90	22	"	"	PUNCT
bibechana-72570	90	23	we	we	PRON
bibechana-72570	90	24	investigated	investigate	VERB
bibechana-72570	90	25	the	the	DET
bibechana-72570	90	26	changes	change	NOUN
bibechana-72570	90	27	in	in	ADP
bibechana-72570	90	28	a	a	DET
bibechana-72570	90	29	pendulum	pendulum	NOUN
bibechana-72570	90	30	system	system	NOUN
bibechana-72570	90	31	’s	’s	PART
bibechana-72570	90	32	dynamic	dynamic	ADJ
bibechana-72570	90	33	behavior	behavior	NOUN
bibechana-72570	90	34	.	.	PUNCT
bibechana-72570	91	1	considering	consider	VERB
bibechana-72570	91	2	the	the	DET
bibechana-72570	91	3	equation	equation	NOUN
bibechana-72570	91	4	θ̈	θ̈	NOUN
bibechana-72570	91	5	=	=	SYM
bibechana-72570	91	6	−g	−g	NOUN
bibechana-72570	91	7	l	l	NOUN
bibechana-72570	91	8	sinθ	sinθ	PROPN
bibechana-72570	91	9	in	in	ADP
bibechana-72570	91	10	the	the	DET
bibechana-72570	91	11	beginning	beginning	NOUN
bibechana-72570	91	12	,	,	PUNCT
bibechana-72570	91	13	we	we	PRON
bibechana-72570	91	14	tracked	track	VERB
bibechana-72570	91	15	the	the	DET
bibechana-72570	91	16	pendulum	pendulum	NOUN
bibechana-72570	91	17	’s	’s	PART
bibechana-72570	91	18	angular	angular	ADJ
bibechana-72570	91	19	displacement	displacement	ADJ
bibechana-72570	91	20	θ	θ	NOUN
bibechana-72570	91	21	against	against	ADP
bibechana-72570	91	22	time	time	NOUN
bibechana-72570	91	23	,	,	PUNCT
bibechana-72570	91	24	which	which	PRON
bibechana-72570	91	25	is	be	AUX
bibechana-72570	91	26	shown	show	VERB
bibechana-72570	91	27	in	in	ADP
bibechana-72570	91	28	figure	figure	NOUN
bibechana-72570	91	29	2	2	NUM
bibechana-72570	91	30	for	for	ADP
bibechana-72570	91	31	the	the	DET
bibechana-72570	91	32	angle	angle	NOUN
bibechana-72570	91	33	of	of	ADP
bibechana-72570	91	34	oscillation	oscillation	NOUN
bibechana-72570	91	35	90.in	90.in	NUM
bibechana-72570	91	36	the	the	DET
bibechana-72570	91	37	linear	linear	ADJ
bibechana-72570	91	38	regime	regime	NOUN
bibechana-72570	91	39	—	—	PUNCT
bibechana-72570	91	40	where	where	SCONJ
bibechana-72570	91	41	the	the	DET
bibechana-72570	91	42	angular	angular	ADJ
bibechana-72570	91	43	displacement	displacement	NOUN
bibechana-72570	91	44	remains	remain	VERB
bibechana-72570	91	45	small	small	ADJ
bibechana-72570	91	46	—	—	PUNCT
bibechana-72570	91	47	the	the	DET
bibechana-72570	91	48	pendulum	pendulum	NOUN
bibechana-72570	91	49	displayed	display	VERB
bibechana-72570	91	50	simple	simple	ADJ
bibechana-72570	91	51	harmonic	harmonic	ADJ
bibechana-72570	91	52	motion	motion	NOUN
bibechana-72570	91	53	,	,	PUNCT
bibechana-72570	91	54	which	which	PRON
bibechana-72570	91	55	is	be	AUX
bibechana-72570	91	56	characterized	characterize	VERB
bibechana-72570	91	57	by	by	ADP
bibechana-72570	91	58	smooth	smooth	ADJ
bibechana-72570	91	59	,	,	PUNCT
bibechana-72570	91	60	sinusoidal	sinusoidal	ADJ
bibechana-72570	91	61	oscillations	oscillation	NOUN
bibechana-72570	91	62	.	.	PUNCT
bibechana-72570	92	1	as	as	ADP
bibechana-72570	92	2	the	the	DET
bibechana-72570	92	3	amplitude	amplitude	NOUN
bibechana-72570	92	4	increases	increase	NOUN
bibechana-72570	92	5	,	,	PUNCT
bibechana-72570	92	6	i.e.	i.e.	X
bibechana-72570	92	7	,	,	PUNCT
bibechana-72570	92	8	the	the	DET
bibechana-72570	92	9	angle	angle	NOUN
bibechana-72570	92	10	of	of	ADP
bibechana-72570	92	11	oscillation	oscillation	NOUN
bibechana-72570	92	12	is	be	AUX
bibechana-72570	92	13	increased	increase	VERB
bibechana-72570	92	14	and	and	CCONJ
bibechana-72570	92	15	moved	move	VERB
bibechana-72570	92	16	away	away	ADV
bibechana-72570	92	17	from	from	ADP
bibechana-72570	92	18	basic	basic	ADJ
bibechana-72570	92	19	harmonic	harmonic	ADJ
bibechana-72570	92	20	behavior	behavior	NOUN
bibechana-72570	92	21	,	,	PUNCT
bibechana-72570	92	22	the	the	DET
bibechana-72570	92	23	motion	motion	NOUN
bibechana-72570	92	24	becomes	become	VERB
bibechana-72570	92	25	more	more	ADV
bibechana-72570	92	26	complex	complex	ADJ
bibechana-72570	92	27	and	and	CCONJ
bibechana-72570	92	28	enters	enter	VERB
bibechana-72570	92	29	into	into	ADP
bibechana-72570	92	30	the	the	DET
bibechana-72570	92	31	non	non	ADJ
bibechana-72570	92	32	-	-	ADJ
bibechana-72570	92	33	linear	linear	ADJ
bibechana-72570	92	34	zone	zone	NOUN
bibechana-72570	92	35	.	.	PUNCT
bibechana-72570	93	1	chaotic	chaotic	ADJ
bibechana-72570	93	2	dynamics	dynamic	NOUN
bibechana-72570	93	3	began	begin	VERB
bibechana-72570	93	4	as	as	SCONJ
bibechana-72570	93	5	the	the	DET
bibechana-72570	93	6	angle	angle	NOUN
bibechana-72570	93	7	grew	grow	VERB
bibechana-72570	93	8	closer	close	ADV
bibechana-72570	93	9	to	to	ADP
bibechana-72570	93	10	and	and	CCONJ
bibechana-72570	93	11	beyond	beyond	ADP
bibechana-72570	93	12	180	180	NUM
bibechana-72570	93	13	,	,	PUNCT
bibechana-72570	93	14	at	at	ADP
bibechana-72570	93	15	which	which	DET
bibechana-72570	93	16	point	point	NOUN
bibechana-72570	93	17	the	the	DET
bibechana-72570	93	18	non	non	ADJ
bibechana-72570	93	19	-	-	ADJ
bibechana-72570	93	20	linear	linear	ADJ
bibechana-72570	93	21	behavior	behavior	NOUN
bibechana-72570	93	22	became	become	VERB
bibechana-72570	93	23	more	more	ADV
bibechana-72570	93	24	noticeable	noticeable	ADJ
bibechana-72570	93	25	.	.	PUNCT
bibechana-72570	94	1	we	we	PRON
bibechana-72570	94	2	then	then	ADV
bibechana-72570	94	3	looked	look	VERB
bibechana-72570	94	4	at	at	ADP
bibechana-72570	94	5	the	the	DET
bibechana-72570	94	6	relationship	relationship	NOUN
bibechana-72570	94	7	between	between	ADP
bibechana-72570	94	8	angular	angular	ADJ
bibechana-72570	94	9	velocity	velocity	NOUN
bibechana-72570	94	10	and	and	CCONJ
bibechana-72570	94	11	time	time	NOUN
bibechana-72570	94	12	,	,	PUNCT
bibechana-72570	94	13	which	which	PRON
bibechana-72570	94	14	is	be	AUX
bibechana-72570	94	15	shown	show	VERB
bibechana-72570	94	16	in	in	ADP
bibechana-72570	94	17	figure	figure	NOUN
bibechana-72570	94	18	3	3	NUM
bibechana-72570	94	19	.	.	PUNCT
bibechana-72570	95	1	a	a	DET
bibechana-72570	95	2	constant	constant	ADJ
bibechana-72570	95	3	amplitude	amplitude	NOUN
bibechana-72570	95	4	was	be	AUX
bibechana-72570	95	5	maintained	maintain	VERB
bibechana-72570	95	6	by	by	ADP
bibechana-72570	95	7	the	the	DET
bibechana-72570	95	8	harmonic	harmonic	ADJ
bibechana-72570	95	9	oscillation	oscillation	NOUN
bibechana-72570	95	10	of	of	ADP
bibechana-72570	95	11	the	the	DET
bibechana-72570	95	12	angular	angular	ADJ
bibechana-72570	95	13	velocity	velocity	NOUN
bibechana-72570	95	14	in	in	ADP
bibechana-72570	95	15	the	the	DET
bibechana-72570	95	16	linear	linear	ADJ
bibechana-72570	95	17	regime	regime	NOUN
bibechana-72570	95	18	.	.	PUNCT
bibechana-72570	96	1	significant	significant	ADJ
bibechana-72570	96	2	amplitude	amplitude	NOUN
bibechana-72570	96	3	and	and	CCONJ
bibechana-72570	96	4	frequency	frequency	NOUN
bibechana-72570	96	5	changes	change	NOUN
bibechana-72570	96	6	were	be	AUX
bibechana-72570	96	7	observed	observe	VERB
bibechana-72570	96	8	as	as	SCONJ
bibechana-72570	96	9	the	the	DET
bibechana-72570	96	10	system	system	NOUN
bibechana-72570	96	11	entered	enter	VERB
bibechana-72570	96	12	the	the	DET
bibechana-72570	96	13	non	non	ADJ
bibechana-72570	96	14	-	-	ADJ
bibechana-72570	96	15	linear	linear	ADJ
bibechana-72570	96	16	region	region	NOUN
bibechana-72570	96	17	.	.	PUNCT
bibechana-72570	97	1	again	again	ADV
bibechana-72570	97	2	considering	consider	VERB
bibechana-72570	97	3	the	the	DET
bibechana-72570	97	4	equation	equation	NOUN
bibechana-72570	97	5	d2θ	d2θ	PROPN
bibechana-72570	97	6	dt2	dt2	PROPN
bibechana-72570	98	1	+	+	PROPN
bibechana-72570	98	2	γ	γ	X
bibechana-72570	98	3	dθ	dθ	NOUN
bibechana-72570	98	4	dt	dt	PROPN
bibechana-72570	98	5	+	+	PROPN
bibechana-72570	98	6	w2	w2	NOUN
bibechana-72570	98	7	0sinθ	0sinθ	NUM
bibechana-72570	98	8	=	=	SYM
bibechana-72570	98	9	−2acoswtsinθ	−2acoswtsinθ	NOUN
bibechana-72570	98	10	,	,	PUNCT
bibechana-72570	98	11	we	we	PRON
bibechana-72570	98	12	have	have	AUX
bibechana-72570	98	13	plotted	plot	VERB
bibechana-72570	98	14	the	the	DET
bibechana-72570	98	15	graph	graph	NOUN
bibechana-72570	98	16	of	of	ADP
bibechana-72570	98	17	θ	θ	PROPN
bibechana-72570	98	18	versus	versus	ADP
bibechana-72570	98	19	time	time	NOUN
bibechana-72570	98	20	,	,	PUNCT
bibechana-72570	98	21	θ̇	θ̇	PRON
bibechana-72570	98	22	versus	versus	ADP
bibechana-72570	98	23	time	time	NOUN
bibechana-72570	98	24	and	and	CCONJ
bibechana-72570	98	25	θ̇	θ̇	PRON
bibechana-72570	98	26	versus	versus	X
bibechana-72570	98	27	θ	θ	PROPN
bibechana-72570	98	28	.	.	PUNCT
bibechana-72570	99	1	when	when	SCONJ
bibechana-72570	99	2	the	the	DET
bibechana-72570	99	3	damping	damp	VERB
bibechana-72570	99	4	term	term	NOUN
bibechana-72570	99	5	was	be	AUX
bibechana-72570	99	6	present	present	ADJ
bibechana-72570	99	7	,	,	PUNCT
bibechana-72570	99	8	additional	additional	ADJ
bibechana-72570	99	9	complexity	complexity	NOUN
bibechana-72570	99	10	was	be	AUX
bibechana-72570	99	11	created	create	VERB
bibechana-72570	99	12	because	because	SCONJ
bibechana-72570	99	13	energy	energy	NOUN
bibechana-72570	99	14	dissipation	dissipation	NOUN
bibechana-72570	99	15	changed	change	VERB
bibechana-72570	99	16	the	the	DET
bibechana-72570	99	17	oscillatory	oscillatory	ADJ
bibechana-72570	99	18	patterns	pattern	NOUN
bibechana-72570	99	19	,	,	PUNCT
bibechana-72570	99	20	which	which	PRON
bibechana-72570	99	21	,	,	PUNCT
bibechana-72570	99	22	over	over	ADP
bibechana-72570	99	23	time	time	NOUN
bibechana-72570	99	24	,	,	PUNCT
bibechana-72570	99	25	caused	cause	VERB
bibechana-72570	99	26	the	the	DET
bibechana-72570	99	27	motion	motion	NOUN
bibechana-72570	99	28	to	to	PART
bibechana-72570	99	29	get	get	VERB
bibechana-72570	99	30	slower	slow	ADJ
bibechana-72570	99	31	gradually	gradually	ADV
bibechana-72570	99	32	.	.	PUNCT
bibechana-72570	100	1	plots	plot	NOUN
bibechana-72570	100	2	showing	show	VERB
bibechana-72570	100	3	the	the	DET
bibechana-72570	100	4	relationship	relationship	NOUN
bibechana-72570	100	5	between	between	ADP
bibechana-72570	100	6	θ̈	θ̈	NOUN
bibechana-72570	100	7	versus	versus	ADP
bibechana-72570	100	8	θ	θ	NOUN
bibechana-72570	100	9	the	the	DET
bibechana-72570	100	10	phase	phase	NOUN
bibechana-72570	100	11	space	space	NOUN
bibechana-72570	100	12	analysis	analysis	NOUN
bibechana-72570	100	13	,	,	PUNCT
bibechana-72570	100	14	shown	show	VERB
bibechana-72570	100	15	in	in	ADP
bibechana-72570	100	16	figure	figure	NOUN
bibechana-72570	100	17	4	4	NUM
bibechana-72570	100	18	,	,	PUNCT
bibechana-72570	100	19	helps	help	VERB
bibechana-72570	100	20	us	we	PRON
bibechana-72570	100	21	to	to	PART
bibechana-72570	100	22	understand	understand	VERB
bibechana-72570	100	23	the	the	DET
bibechana-72570	100	24	behavior	behavior	NOUN
bibechana-72570	100	25	of	of	ADP
bibechana-72570	100	26	the	the	DET
bibechana-72570	100	27	system	system	NOUN
bibechana-72570	100	28	over	over	ADP
bibechana-72570	100	29	time	time	NOUN
bibechana-72570	100	30	.	.	PUNCT
bibechana-72570	101	1	for	for	ADP
bibechana-72570	101	2	small	small	ADJ
bibechana-72570	101	3	oscillations	oscillation	NOUN
bibechana-72570	101	4	,	,	PUNCT
bibechana-72570	101	5	the	the	DET
bibechana-72570	101	6	phase	phase	NOUN
bibechana-72570	101	7	-	-	PUNCT
bibechana-72570	101	8	space	space	NOUN
bibechana-72570	101	9	trajectory	trajectory	NOUN
bibechana-72570	101	10	forms	form	NOUN
bibechana-72570	101	11	closed	close	VERB
bibechana-72570	101	12	loops	loop	NOUN
bibechana-72570	101	13	,	,	PUNCT
bibechana-72570	101	14	confirming	confirm	VERB
bibechana-72570	101	15	agreement	agreement	NOUN
bibechana-72570	101	16	with	with	ADP
bibechana-72570	101	17	theoretical	theoretical	ADJ
bibechana-72570	101	18	expectations	expectation	NOUN
bibechana-72570	101	19	of	of	ADP
bibechana-72570	101	20	simple	simple	ADJ
bibechana-72570	101	21	harmonic	harmonic	ADJ
bibechana-72570	101	22	motion	motion	NOUN
bibechana-72570	101	23	.	.	PUNCT
bibechana-72570	102	1	as	as	ADP
bibechana-72570	102	2	the	the	DET
bibechana-72570	102	3	amplitude	amplitude	NOUN
bibechana-72570	102	4	increases	increase	NOUN
bibechana-72570	102	5	,	,	PUNCT
bibechana-72570	102	6	the	the	DET
bibechana-72570	102	7	deviation	deviation	NOUN
bibechana-72570	102	8	from	from	ADP
bibechana-72570	102	9	the	the	DET
bibechana-72570	102	10	simple	simple	ADJ
bibechana-72570	102	11	harmonic	harmonic	ADJ
bibechana-72570	102	12	motion	motion	NOUN
bibechana-72570	102	13	is	be	AUX
bibechana-72570	102	14	significant	significant	ADJ
bibechana-72570	102	15	,	,	PUNCT
bibechana-72570	102	16	leading	lead	VERB
bibechana-72570	102	17	to	to	ADP
bibechana-72570	102	18	distortion	distortion	NOUN
bibechana-72570	102	19	in	in	ADP
bibechana-72570	102	20	the	the	DET
bibechana-72570	102	21	phase	phase	NOUN
bibechana-72570	102	22	space	space	NOUN
bibechana-72570	102	23	indicating	indicate	VERB
bibechana-72570	102	24	the	the	DET
bibechana-72570	102	25	chaotic	chaotic	ADJ
bibechana-72570	102	26	behavior	behavior	NOUN
bibechana-72570	102	27	.	.	PUNCT
bibechana-72570	103	1	the	the	DET
bibechana-72570	103	2	separatrix	separatrix	NOUN
bibechana-72570	103	3	is	be	AUX
bibechana-72570	103	4	the	the	DET
bibechana-72570	103	5	clear	clear	ADJ
bibechana-72570	103	6	indicator	indicator	NOUN
bibechana-72570	103	7	for	for	ADP
bibechana-72570	103	8	such	such	ADJ
bibechana-72570	103	9	transition	transition	NOUN
bibechana-72570	103	10	,	,	PUNCT
bibechana-72570	103	11	marking	mark	VERB
bibechana-72570	103	12	the	the	DET
bibechana-72570	103	13	boundary	boundary	NOUN
bibechana-72570	103	14	between	between	ADP
bibechana-72570	103	15	regular	regular	ADJ
bibechana-72570	103	16	and	and	CCONJ
bibechana-72570	103	17	chaotic	chaotic	ADJ
bibechana-72570	103	18	motion	motion	NOUN
bibechana-72570	103	19	and	and	CCONJ
bibechana-72570	103	20	observed	observe	VERB
bibechana-72570	103	21	in	in	ADP
bibechana-72570	103	22	the	the	DET
bibechana-72570	103	23	phase	phase	NOUN
bibechana-72570	103	24	space	space	NOUN
bibechana-72570	103	25	plots	plot	NOUN
bibechana-72570	103	26	beyond	beyond	ADP
bibechana-72570	103	27	1800	1800	NUM
bibechana-72570	103	28	.	.	PUNCT
bibechana-72570	104	1	these	these	DET
bibechana-72570	104	2	findings	finding	NOUN
bibechana-72570	104	3	are	be	AUX
bibechana-72570	104	4	also	also	ADV
bibechana-72570	104	5	in	in	ADP
bibechana-72570	104	6	agreement	agreement	NOUN
bibechana-72570	104	7	with	with	ADP
bibechana-72570	104	8	the	the	DET
bibechana-72570	104	9	theoretical	theoretical	ADJ
bibechana-72570	104	10	models	model	NOUN
bibechana-72570	104	11	.	.	PUNCT
bibechana-72570	105	1	when	when	SCONJ
bibechana-72570	105	2	the	the	DET
bibechana-72570	105	3	pendulum	pendulum	NOUN
bibechana-72570	105	4	enters	enter	VERB
bibechana-72570	105	5	the	the	DET
bibechana-72570	105	6	chaotic	chaotic	ADJ
bibechana-72570	105	7	regime	regime	NOUN
bibechana-72570	105	8	,	,	PUNCT
bibechana-72570	105	9	the	the	DET
bibechana-72570	105	10	phasespace	phasespace	NOUN
bibechana-72570	105	11	diagram	diagram	NOUN
bibechana-72570	105	12	exhibits	exhibit	VERB
bibechana-72570	105	13	irregular	irregular	ADJ
bibechana-72570	105	14	,	,	PUNCT
bibechana-72570	105	15	scattered	scatter	VERB
bibechana-72570	105	16	trajectories	trajectory	NOUN
bibechana-72570	105	17	,	,	PUNCT
bibechana-72570	105	18	which	which	PRON
bibechana-72570	105	19	is	be	AUX
bibechana-72570	105	20	consistent	consistent	ADJ
bibechana-72570	105	21	with	with	ADP
bibechana-72570	105	22	known	know	VERB
bibechana-72570	105	23	chaotic	chaotic	ADJ
bibechana-72570	105	24	behavior	behavior	NOUN
bibechana-72570	105	25	in	in	ADP
bibechana-72570	105	26	dynamical	dynamical	ADJ
bibechana-72570	105	27	systems	system	NOUN
bibechana-72570	105	28	.	.	PUNCT
bibechana-72570	106	1	similar	similar	ADJ
bibechana-72570	106	2	trends	trend	NOUN
bibechana-72570	106	3	were	be	AUX
bibechana-72570	106	4	observed	observe	VERB
bibechana-72570	106	5	in	in	ADP
bibechana-72570	106	6	the	the	DET
bibechana-72570	106	7	case	case	NOUN
bibechana-72570	106	8	of	of	ADP
bibechana-72570	106	9	the	the	DET
bibechana-72570	106	10	damped	damped	NOUN
bibechana-72570	106	11	pendulum	pendulum	NOUN
bibechana-72570	106	12	,	,	PUNCT
bibechana-72570	106	13	where	where	SCONJ
bibechana-72570	106	14	damping	damp	VERB
bibechana-72570	106	15	affected	affect	VERB
bibechana-72570	106	16	the	the	DET
bibechana-72570	106	17	rate	rate	NOUN
bibechana-72570	106	18	of	of	ADP
bibechana-72570	106	19	energy	energy	NOUN
bibechana-72570	106	20	dissipation	dissipation	NOUN
bibechana-72570	106	21	in	in	ADP
bibechana-72570	106	22	the	the	DET
bibechana-72570	106	23	system	system	NOUN
bibechana-72570	106	24	shown	show	VERB
bibechana-72570	106	25	in	in	ADP
bibechana-72570	106	26	figure	figure	NOUN
bibechana-72570	106	27	5	5	NUM
bibechana-72570	106	28	,	,	PUNCT
bibechana-72570	106	29	and	and	CCONJ
bibechana-72570	106	30	figure	figure	VERB
bibechana-72570	106	31	6	6	NUM
bibechana-72570	106	32	.	.	PUNCT
bibechana-72570	107	1	plots	plot	NOUN
bibechana-72570	107	2	of	of	ADP
bibechana-72570	107	3	the	the	DET
bibechana-72570	107	4	damped	damped	NOUN
bibechana-72570	107	5	pendulum	pendulum	NOUN
bibechana-72570	107	6	’s	’s	PART
bibechana-72570	107	7	phase	phase	NOUN
bibechana-72570	107	8	space	space	NOUN
bibechana-72570	107	9	revealed	reveal	VERB
bibechana-72570	107	10	spiral	spiral	ADJ
bibechana-72570	107	11	paths	path	NOUN
bibechana-72570	107	12	that	that	PRON
bibechana-72570	107	13	eventually	eventually	ADV
bibechana-72570	107	14	converged	converge	VERB
bibechana-72570	107	15	to	to	ADP
bibechana-72570	107	16	fixed	fix	VERB
bibechana-72570	107	17	points	point	NOUN
bibechana-72570	107	18	,	,	PUNCT
bibechana-72570	107	19	signifying	signify	VERB
bibechana-72570	107	20	the	the	DET
bibechana-72570	107	21	end	end	NOUN
bibechana-72570	107	22	of	of	ADP
bibechana-72570	107	23	the	the	DET
bibechana-72570	107	24	motion	motion	NOUN
bibechana-72570	107	25	of	of	ADP
bibechana-72570	107	26	the	the	DET
bibechana-72570	107	27	system	system	NOUN
bibechana-72570	107	28	as	as	SCONJ
bibechana-72570	107	29	depicted	depict	VERB
bibechana-72570	107	30	in	in	ADP
bibechana-72570	107	31	figure	figure	NOUN
bibechana-72570	107	32	7	7	NUM
bibechana-72570	107	33	.	.	PUNCT
bibechana-72570	107	34	figure	figure	NOUN
bibechana-72570	107	35	2	2	NUM
bibechana-72570	107	36	:	:	PUNCT
bibechana-72570	107	37	graph	graph	NOUN
bibechana-72570	107	38	of	of	ADP
bibechana-72570	107	39	θ	θ	PROPN
bibechana-72570	107	40	versus	versus	ADP
bibechana-72570	107	41	t	t	PROPN
bibechana-72570	107	42	for	for	ADP
bibechana-72570	107	43	θ	θ	PROPN
bibechana-72570	107	44	=	=	SYM
bibechana-72570	107	45	90	90	NUM
bibechana-72570	107	46	and	and	CCONJ
bibechana-72570	107	47	dt=0.0	dt=0.0	VERB
bibechana-72570	107	48	similarly	similarly	ADV
bibechana-72570	107	49	,	,	PUNCT
bibechana-72570	107	50	the	the	DET
bibechana-72570	107	51	graph	graph	NOUN
bibechana-72570	107	52	of	of	ADP
bibechana-72570	107	53	angular	angular	ADJ
bibechana-72570	107	54	velocity	velocity	NOUN
bibechana-72570	107	55	θ̇	θ̇	DET
bibechana-72570	107	56	versuss	versuss	ADJ
bibechana-72570	107	57	time	time	NOUN
bibechana-72570	107	58	is	be	AUX
bibechana-72570	107	59	shown	show	VERB
bibechana-72570	107	60	in	in	ADP
bibechana-72570	107	61	figure	figure	NOUN
bibechana-72570	107	62	3	3	NUM
bibechana-72570	107	63	.	.	PUNCT
bibechana-72570	107	64	figure	figure	VERB
bibechana-72570	107	65	3	3	NUM
bibechana-72570	107	66	:	:	PUNCT
bibechana-72570	107	67	graph	graph	NOUN
bibechana-72570	107	68	of	of	ADP
bibechana-72570	107	69	θ̇	θ̇	PRON
bibechana-72570	107	70	versus	versus	ADP
bibechana-72570	107	71	t	t	PROPN
bibechana-72570	107	72	for	for	ADP
bibechana-72570	107	73	θ	θ	PROPN
bibechana-72570	107	74	=	=	SYM
bibechana-72570	107	75	90	90	NUM
bibechana-72570	107	76	and	and	CCONJ
bibechana-72570	107	77	dt=0.0	dt=0.0	VERB
bibechana-72570	107	78	the	the	DET
bibechana-72570	107	79	phase	phase	NOUN
bibechana-72570	107	80	space	space	NOUN
bibechana-72570	107	81	of	of	ADP
bibechana-72570	107	82	the	the	DET
bibechana-72570	107	83	nonlinear	nonlinear	ADJ
bibechana-72570	107	84	pendulum	pendulum	NOUN
bibechana-72570	107	85	is	be	AUX
bibechana-72570	107	86	chhabi	chhabi	PROPN
bibechana-72570	107	87	kumar	kumar	PROPN
bibechana-72570	107	88	shrestha	shrestha	PROPN
bibechana-72570	107	89	et	et	PROPN
bibechana-72570	108	1	al./	al./	ADV
bibechana-72570	108	2	bibechana	bibechana	PROPN
bibechana-72570	108	3	22	22	NUM
bibechana-72570	108	4	(	(	PUNCT
bibechana-72570	108	5	2025	2025	NUM
bibechana-72570	108	6	)	)	PUNCT
bibechana-72570	108	7	116	116	NUM
bibechana-72570	108	8	-	-	SYM
bibechana-72570	108	9	121	121	NUM
bibechana-72570	108	10	120	120	NUM
bibechana-72570	108	11	shown	show	VERB
bibechana-72570	108	12	in	in	ADP
bibechana-72570	108	13	figure	figure	NOUN
bibechana-72570	108	14	4	4	NUM
bibechana-72570	108	15	.	.	PUNCT
bibechana-72570	108	16	figure	figure	VERB
bibechana-72570	108	17	4	4	NUM
bibechana-72570	108	18	:	:	PUNCT
bibechana-72570	108	19	graph	graph	NOUN
bibechana-72570	108	20	of	of	ADP
bibechana-72570	108	21	θ̇	θ̇	PRON
bibechana-72570	108	22	versus	versus	ADP
bibechana-72570	108	23	t	t	PROPN
bibechana-72570	108	24	for	for	ADP
bibechana-72570	108	25	dt	dt	PROPN
bibechana-72570	108	26	=	=	NOUN
bibechana-72570	108	27	0.02sec	0.02sec	NUM
bibechana-72570	108	28	figure	figure	NOUN
bibechana-72570	108	29	5	5	NUM
bibechana-72570	108	30	:	:	PUNCT
bibechana-72570	108	31	graph	graph	NOUN
bibechana-72570	108	32	of	of	ADP
bibechana-72570	108	33	θ	θ	PROPN
bibechana-72570	108	34	versus	versus	ADP
bibechana-72570	108	35	t	t	PROPN
bibechana-72570	108	36	for	for	ADP
bibechana-72570	108	37	γ	γ	X
bibechana-72570	108	38	=	=	SYM
bibechana-72570	108	39	0.5	0.5	NUM
bibechana-72570	108	40	,	,	PUNCT
bibechana-72570	108	41	dt=0.01,ω	dt=0.01,ω	NOUN
bibechana-72570	108	42	=	=	SYM
bibechana-72570	108	43	3.1	3.1	NUM
bibechana-72570	108	44	,	,	PUNCT
bibechana-72570	108	45	ω0	ω0	ADV
bibechana-72570	108	46	=	=	SYM
bibechana-72570	108	47	3.1	3.1	NUM
bibechana-72570	108	48	figure	figure	NOUN
bibechana-72570	108	49	6	6	NUM
bibechana-72570	108	50	:	:	PUNCT
bibechana-72570	108	51	graph	graph	NOUN
bibechana-72570	108	52	of	of	ADP
bibechana-72570	108	53	θ̇	θ̇	PRON
bibechana-72570	108	54	versus	versus	ADP
bibechana-72570	108	55	t	t	PROPN
bibechana-72570	108	56	for	for	ADP
bibechana-72570	108	57	γ	γ	X
bibechana-72570	108	58	=	=	SYM
bibechana-72570	108	59	0.5	0.5	NUM
bibechana-72570	108	60	,	,	PUNCT
bibechana-72570	108	61	dt=0.01,ω	dt=0.01,ω	NOUN
bibechana-72570	108	62	=	=	SYM
bibechana-72570	108	63	3.1	3.1	NUM
bibechana-72570	108	64	,	,	PUNCT
bibechana-72570	108	65	ω0	ω0	ADV
bibechana-72570	108	66	=	=	SYM
bibechana-72570	108	67	3.1	3.1	NUM
bibechana-72570	108	68	for	for	ADP
bibechana-72570	108	69	γ	γ	X
bibechana-72570	108	70	=	=	SYM
bibechana-72570	108	71	0.5	0.5	NUM
bibechana-72570	108	72	,	,	PUNCT
bibechana-72570	108	73	dt=0.01	dt=0.01	PROPN
bibechana-72570	108	74	,	,	PUNCT
bibechana-72570	108	75	ω	ω	PROPN
bibechana-72570	108	76	=	=	SYM
bibechana-72570	108	77	3.1	3.1	NUM
bibechana-72570	108	78	,	,	PUNCT
bibechana-72570	108	79	ω0	ω0	ADV
bibechana-72570	108	80	=	=	SYM
bibechana-72570	108	81	3.1	3.1	NUM
bibechana-72570	108	82	figure	figure	NOUN
bibechana-72570	108	83	7	7	NUM
bibechana-72570	108	84	:	:	PUNCT
bibechana-72570	108	85	graph	graph	NOUN
bibechana-72570	108	86	of	of	ADP
bibechana-72570	108	87	θ̇	θ̇	PRON
bibechana-72570	108	88	versus	versus	ADP
bibechana-72570	108	89	θ	θ	PROPN
bibechana-72570	108	90	5	5	NUM
bibechana-72570	108	91	conclusions	conclusion	NOUN
bibechana-72570	108	92	this	this	DET
bibechana-72570	108	93	study	study	NOUN
bibechana-72570	108	94	offers	offer	VERB
bibechana-72570	108	95	insightful	insightful	ADJ
bibechana-72570	108	96	information	information	NOUN
bibechana-72570	108	97	about	about	ADP
bibechana-72570	108	98	how	how	SCONJ
bibechana-72570	108	99	linear	linear	ADJ
bibechana-72570	108	100	to	to	ADP
bibechana-72570	108	101	non	non	ADJ
bibechana-72570	108	102	-	-	ADJ
bibechana-72570	108	103	linear	linear	ADJ
bibechana-72570	108	104	behavior	behavior	NOUN
bibechana-72570	108	105	changes	change	VERB
bibechana-72570	108	106	in	in	ADP
bibechana-72570	108	107	pendulum	pendulum	NOUN
bibechana-72570	108	108	systems	system	NOUN
bibechana-72570	108	109	.	.	PUNCT
bibechana-72570	109	1	it	it	PRON
bibechana-72570	109	2	clarifies	clarify	VERB
bibechana-72570	109	3	the	the	DET
bibechana-72570	109	4	complex	complex	ADJ
bibechana-72570	109	5	dynamics	dynamic	NOUN
bibechana-72570	109	6	underlying	underlie	VERB
bibechana-72570	109	7	pendulum	pendulum	NOUN
bibechana-72570	109	8	motion	motion	NOUN
bibechana-72570	109	9	and	and	CCONJ
bibechana-72570	109	10	advances	advance	VERB
bibechana-72570	109	11	our	our	PRON
bibechana-72570	109	12	understanding	understanding	NOUN
bibechana-72570	109	13	of	of	ADP
bibechana-72570	109	14	chaotic	chaotic	ADJ
bibechana-72570	109	15	behavior	behavior	NOUN
bibechana-72570	109	16	by	by	ADP
bibechana-72570	109	17	fusing	fuse	VERB
bibechana-72570	109	18	rigorous	rigorous	ADJ
bibechana-72570	109	19	analysis	analysis	NOUN
bibechana-72570	109	20	with	with	ADP
bibechana-72570	109	21	numerical	numerical	ADJ
bibechana-72570	109	22	simulations	simulation	NOUN
bibechana-72570	109	23	.	.	PUNCT
bibechana-72570	110	1	the	the	DET
bibechana-72570	110	2	findings	finding	NOUN
bibechana-72570	110	3	have	have	VERB
bibechana-72570	110	4	implications	implication	NOUN
bibechana-72570	110	5	beyond	beyond	ADP
bibechana-72570	110	6	theoretical	theoretical	ADJ
bibechana-72570	110	7	issues	issue	NOUN
bibechana-72570	110	8	and	and	CCONJ
bibechana-72570	110	9	may	may	AUX
bibechana-72570	110	10	be	be	AUX
bibechana-72570	110	11	used	use	VERB
bibechana-72570	110	12	in	in	ADP
bibechana-72570	110	13	engineering	engineering	NOUN
bibechana-72570	110	14	,	,	PUNCT
bibechana-72570	110	15	physics	physics	NOUN
bibechana-72570	110	16	,	,	PUNCT
bibechana-72570	110	17	and	and	CCONJ
bibechana-72570	110	18	other	other	ADJ
bibechana-72570	110	19	disciplines	discipline	NOUN
bibechana-72570	110	20	.	.	PUNCT
bibechana-72570	111	1	the	the	DET
bibechana-72570	111	2	study	study	NOUN
bibechana-72570	111	3	of	of	ADP
bibechana-72570	111	4	non	non	ADJ
bibechana-72570	111	5	-	-	ADJ
bibechana-72570	111	6	linear	linear	ADJ
bibechana-72570	111	7	dynamics	dynamic	NOUN
bibechana-72570	111	8	and	and	CCONJ
bibechana-72570	111	9	its	its	PRON
bibechana-72570	111	10	applications	application	NOUN
bibechana-72570	111	11	to	to	ADP
bibechana-72570	111	12	complex	complex	ADJ
bibechana-72570	111	13	systems	system	NOUN
bibechana-72570	111	14	requires	require	VERB
bibechana-72570	111	15	further	further	ADJ
bibechana-72570	111	16	investigation	investigation	NOUN
bibechana-72570	111	17	.	.	PUNCT
bibechana-72570	112	1	6	6	NUM
bibechana-72570	112	2	acknowledgments	acknowledgment	NOUN
bibechana-72570	112	3	we	we	PRON
bibechana-72570	112	4	extend	extend	VERB
bibechana-72570	112	5	my	my	PRON
bibechana-72570	112	6	sincere	sincere	ADJ
bibechana-72570	112	7	gratitude	gratitude	NOUN
bibechana-72570	112	8	to	to	ADP
bibechana-72570	112	9	saddam	saddam	PROPN
bibechana-72570	112	10	hussein	hussein	PROPN
bibechana-72570	112	11	dhobi	dhobi	PROPN
bibechana-72570	112	12	and	and	CCONJ
bibechana-72570	112	13	sandip	sandip	ADJ
bibechana-72570	112	14	baral	baral	NOUN
bibechana-72570	112	15	for	for	ADP
bibechana-72570	112	16	their	their	PRON
bibechana-72570	112	17	invaluable	invaluable	ADJ
bibechana-72570	112	18	guidance	guidance	NOUN
bibechana-72570	112	19	,	,	PUNCT
bibechana-72570	112	20	unwavering	unwavere	VERB
bibechana-72570	112	21	support	support	NOUN
bibechana-72570	112	22	,	,	PUNCT
bibechana-72570	112	23	and	and	CCONJ
bibechana-72570	112	24	insightful	insightful	ADJ
bibechana-72570	112	25	feedback	feedback	NOUN
bibechana-72570	112	26	throughout	throughout	ADP
bibechana-72570	112	27	the	the	DET
bibechana-72570	112	28	entire	entire	ADJ
bibechana-72570	112	29	duration	duration	NOUN
bibechana-72570	112	30	of	of	ADP
bibechana-72570	112	31	this	this	DET
bibechana-72570	112	32	work	work	NOUN
bibechana-72570	112	33	,	,	PUNCT
bibechana-72570	112	34	“	"	PUNCT
bibechana-72570	112	35	from	from	ADP
bibechana-72570	112	36	linear	linear	PROPN
bibechana-72570	112	37	to	to	ADP
bibechana-72570	112	38	non	non	ADJ
bibechana-72570	112	39	-	-	ADJ
bibechana-72570	112	40	linear	linear	ADJ
bibechana-72570	112	41	/	/	SYM
bibechana-72570	112	42	chaotic	chaotic	ADJ
bibechana-72570	112	43	pendulum	pendulum	NOUN
bibechana-72570	112	44	:	:	PUNCT
bibechana-72570	112	45	a	a	DET
bibechana-72570	112	46	computational	computational	ADJ
bibechana-72570	112	47	study	study	NOUN
bibechana-72570	112	48	.	.	PUNCT
bibechana-72570	112	49	"	"	PUNCT
bibechana-72570	113	1	one	one	NUM
bibechana-72570	113	2	of	of	ADP
bibechana-72570	113	3	the	the	DET
bibechana-72570	113	4	authors	author	NOUN
bibechana-72570	113	5	,	,	PUNCT
bibechana-72570	113	6	chhabi	chhabi	PROPN
bibechana-72570	113	7	kumar	kumar	PROPN
bibechana-72570	113	8	shrestha	shrestha	PROPN
bibechana-72570	113	9	,	,	PUNCT
bibechana-72570	113	10	acknowledges	acknowledge	VERB
bibechana-72570	113	11	the	the	DET
bibechana-72570	113	12	ugc	ugc	PROPN
bibechana-72570	113	13	,	,	PUNCT
bibechana-72570	113	14	nepal	nepal	ADJ
bibechana-72570	113	15	,	,	PUNCT
bibechana-72570	113	16	for	for	ADP
bibechana-72570	113	17	the	the	DET
bibechana-72570	113	18	phd	phd	NOUN
bibechana-72570	113	19	grant	grant	PROPN
bibechana-72570	113	20	award	award	PROPN
bibechana-72570	113	21	:	:	PUNCT
bibechana-72570	113	22	phd-80/81	phd-80/81	NOUN
bibechana-72570	113	23	-	-	PUNCT
bibechana-72570	113	24	s&t-09	s&t-09	NOUN
bibechana-72570	113	25	.	.	PUNCT
bibechana-72570	114	1	references	reference	NOUN
bibechana-72570	114	2	[	[	X
bibechana-72570	114	3	1	1	NUM
bibechana-72570	114	4	]	]	PUNCT
bibechana-72570	114	5	laura	laura	NOUN
bibechana-72570	114	6	fermi	fermi	PROPN
bibechana-72570	114	7	and	and	CCONJ
bibechana-72570	114	8	gilberto	gilberto	PROPN
bibechana-72570	114	9	bernardini	bernardini	PROPN
bibechana-72570	114	10	.	.	PUNCT
bibechana-72570	115	1	galileo	galileo	PROPN
bibechana-72570	115	2	and	and	CCONJ
bibechana-72570	115	3	the	the	DET
bibechana-72570	115	4	scientific	scientific	ADJ
bibechana-72570	115	5	revolution	revolution	NOUN
bibechana-72570	115	6	.	.	PUNCT
bibechana-72570	116	1	courier	courier	NOUN
bibechana-72570	116	2	corporation	corporation	NOUN
bibechana-72570	116	3	,	,	PUNCT
bibechana-72570	116	4	2003	2003	NUM
bibechana-72570	116	5	.	.	PUNCT
bibechana-72570	117	1	[	[	X
bibechana-72570	117	2	2	2	NUM
bibechana-72570	117	3	]	]	X
bibechana-72570	117	4	filip	filip	NOUN
bibechana-72570	117	5	buyse	buyse	PROPN
bibechana-72570	117	6	.	.	PUNCT
bibechana-72570	118	1	galileo	galileo	PROPN
bibechana-72570	118	2	,	,	PUNCT
bibechana-72570	118	3	huygens	huygen	NOUN
bibechana-72570	118	4	and	and	CCONJ
bibechana-72570	118	5	the	the	DET
bibechana-72570	118	6	pendulum	pendulum	NOUN
bibechana-72570	118	7	clock	clock	NOUN
bibechana-72570	118	8	:	:	PUNCT
bibechana-72570	118	9	isochronism	isochronism	NOUN
bibechana-72570	118	10	and	and	CCONJ
bibechana-72570	118	11	synchronicity1	synchronicity1	NOUN
bibechana-72570	118	12	.	.	PUNCT
bibechana-72570	119	1	societate	societate	PROPN
bibechana-72570	119	2	si	si	PROPN
bibechana-72570	119	3	politica	politica	PROPN
bibechana-72570	119	4	,	,	PUNCT
bibechana-72570	119	5	11(2):5–12	11(2):5–12	PROPN
bibechana-72570	119	6	,	,	PUNCT
bibechana-72570	119	7	2017	2017	NUM
bibechana-72570	119	8	.	.	PUNCT
bibechana-72570	120	1	[	[	X
bibechana-72570	120	2	3	3	X
bibechana-72570	120	3	]	]	X
bibechana-72570	120	4	d.	d.	PROPN
bibechana-72570	120	5	s.	s.	PROPN
bibechana-72570	120	6	mathur	mathur	PROPN
bibechana-72570	120	7	.	.	PROPN
bibechana-72570	120	8	mechanics	mechanics	PROPN
bibechana-72570	120	9	.	.	PUNCT
bibechana-72570	121	1	s.	s.	PROPN
bibechana-72570	121	2	chand	chand	PROPN
bibechana-72570	121	3	publishing	publishing	PROPN
bibechana-72570	121	4	,	,	PUNCT
bibechana-72570	121	5	2007	2007	NUM
bibechana-72570	121	6	.	.	PUNCT
bibechana-72570	122	1	[	[	X
bibechana-72570	122	2	4	4	X
bibechana-72570	122	3	]	]	X
bibechana-72570	122	4	david	david	PROPN
bibechana-72570	122	5	d	d	PROPN
bibechana-72570	122	6	nolte	nolte	PROPN
bibechana-72570	122	7	.	.	PUNCT
bibechana-72570	123	1	the	the	DET
bibechana-72570	123	2	tangled	tangle	VERB
bibechana-72570	123	3	tale	tale	NOUN
bibechana-72570	123	4	of	of	ADP
bibechana-72570	123	5	phase	phase	NOUN
bibechana-72570	123	6	space	space	NOUN
bibechana-72570	123	7	.	.	PUNCT
bibechana-72570	124	1	physics	physics	NOUN
bibechana-72570	124	2	today	today	NOUN
bibechana-72570	124	3	,	,	PUNCT
bibechana-72570	124	4	63(4):33–38	63(4):33–38	NUM
bibechana-72570	124	5	,	,	PUNCT
bibechana-72570	124	6	2010	2010	NUM
bibechana-72570	124	7	.	.	PUNCT
bibechana-72570	125	1	chhabi	chhabi	PROPN
bibechana-72570	125	2	kumar	kumar	PROPN
bibechana-72570	125	3	shrestha	shrestha	PROPN
bibechana-72570	125	4	et	et	PROPN
bibechana-72570	125	5	al./	al./	ADV
bibechana-72570	125	6	bibechana	bibechana	PROPN
bibechana-72570	125	7	22	22	NUM
bibechana-72570	125	8	(	(	PUNCT
bibechana-72570	125	9	2025	2025	NUM
bibechana-72570	125	10	)	)	PUNCT
bibechana-72570	125	11	116	116	NUM
bibechana-72570	125	12	-	-	SYM
bibechana-72570	125	13	121	121	NUM
bibechana-72570	125	14	121	121	NUM
bibechana-72570	125	15	[	[	X
bibechana-72570	125	16	5	5	NUM
bibechana-72570	125	17	]	]	PUNCT
bibechana-72570	125	18	neha	neha	NOUN
bibechana-72570	125	19	aggarwal	aggarwal	PROPN
bibechana-72570	125	20	,	,	PUNCT
bibechana-72570	125	21	nitin	nitin	PROPN
bibechana-72570	125	22	verma	verma	PROPN
bibechana-72570	125	23	,	,	PUNCT
bibechana-72570	125	24	and	and	CCONJ
bibechana-72570	125	25	p	p	NOUN
bibechana-72570	125	26	arun	arun	NOUN
bibechana-72570	125	27	.	.	PUNCT
bibechana-72570	126	1	simple	simple	ADJ
bibechana-72570	126	2	pendulum	pendulum	NOUN
bibechana-72570	126	3	revisited	revisit	VERB
bibechana-72570	126	4	.	.	PUNCT
bibechana-72570	127	1	european	european	PROPN
bibechana-72570	127	2	journal	journal	PROPN
bibechana-72570	127	3	of	of	ADP
bibechana-72570	127	4	physics	physics	PROPN
bibechana-72570	127	5	,	,	PUNCT
bibechana-72570	127	6	26(3):517	26(3):517	PROPN
bibechana-72570	127	7	,	,	PUNCT
bibechana-72570	127	8	2005	2005	NUM
bibechana-72570	127	9	.	.	PUNCT
bibechana-72570	128	1	[	[	X
bibechana-72570	128	2	6	6	NUM
bibechana-72570	128	3	]	]	PUNCT
bibechana-72570	128	4	p.	p.	NOUN
bibechana-72570	128	5	l.	l.	PROPN
bibechana-72570	128	6	devries	devries	PROPN
bibechana-72570	128	7	and	and	CCONJ
bibechana-72570	128	8	r.	r.	PROPN
bibechana-72570	128	9	p.	p.	PROPN
bibechana-72570	128	10	wolf	wolf	PROPN
bibechana-72570	128	11	.	.	PUNCT
bibechana-72570	129	1	a	a	DET
bibechana-72570	129	2	first	first	ADJ
bibechana-72570	129	3	course	course	NOUN
bibechana-72570	129	4	in	in	ADP
bibechana-72570	129	5	computational	computational	ADJ
bibechana-72570	129	6	physics	physic	NOUN
bibechana-72570	129	7	.	.	PUNCT
bibechana-72570	130	1	computers	computer	NOUN
bibechana-72570	130	2	in	in	ADP
bibechana-72570	130	3	physics	physics	NOUN
bibechana-72570	130	4	,	,	PUNCT
bibechana-72570	130	5	8(2):178–179	8(2):178–179	NOUN
bibechana-72570	130	6	,	,	PUNCT
bibechana-72570	130	7	1994	1994	NUM
bibechana-72570	130	8	.	.	PUNCT
bibechana-72570	131	1	[	[	X
bibechana-72570	131	2	7	7	NUM
bibechana-72570	131	3	]	]	X
bibechana-72570	131	4	konstant	konstant	NOUN
bibechana-72570	131	5	.	.	PUNCT
bibechana-72570	132	1	computational	computational	ADJ
bibechana-72570	132	2	physics	physics	PROPN
bibechana-72570	132	3	.	.	PUNCT
bibechana-72570	133	1	http://www.physics.ntua.gr/~konstant/	http://www.physics.ntua.gr/~konstant/	PROPN
bibechana-72570	133	2	computationalphysics	computationalphysic	NOUN
bibechana-72570	133	3	.	.	PUNCT
bibechana-72570	134	1	[	[	X
bibechana-72570	134	2	8	8	NUM
bibechana-72570	134	3	]	]	PUNCT
bibechana-72570	134	4	k.	k.	PROPN
bibechana-72570	134	5	n.	n.	PROPN
bibechana-72570	134	6	anagnostopoulos	anagnostopoulos	PROPN
bibechana-72570	134	7	.	.	PUNCT
bibechana-72570	135	1	computational	computational	ADJ
bibechana-72570	135	2	physics	physics	PROPN
bibechana-72570	135	3	,	,	PUNCT
bibechana-72570	135	4	vol	vol	VERB
bibechana-72570	135	5	i	i	PRON
bibechana-72570	135	6	:	:	PUNCT
bibechana-72570	135	7	a	a	DET
bibechana-72570	135	8	practical	practical	ADJ
bibechana-72570	135	9	introduction	introduction	NOUN
bibechana-72570	135	10	to	to	ADP
bibechana-72570	135	11	computational	computational	ADJ
bibechana-72570	135	12	physics	physics	NOUN
bibechana-72570	135	13	and	and	CCONJ
bibechana-72570	135	14	scientific	scientific	ADJ
bibechana-72570	135	15	computing	computing	NOUN
bibechana-72570	135	16	.	.	PUNCT
bibechana-72570	136	1	konstantinos	konstantinos	PROPN
bibechana-72570	136	2	anagnostopoulos	anagnostopoulos	PROPN
bibechana-72570	136	3	,	,	PUNCT
bibechana-72570	136	4	2014	2014	NUM
bibechana-72570	136	5	.	.	PUNCT
bibechana-72570	137	1	[	[	X
bibechana-72570	137	2	9	9	NUM
bibechana-72570	137	3	]	]	PUNCT
bibechana-72570	137	4	m.	m.	NOUN
bibechana-72570	137	5	suzuki	suzuki	PROPN
bibechana-72570	137	6	and	and	CCONJ
bibechana-72570	137	7	i.	i.	PROPN
bibechana-72570	137	8	s.	s.	PROPN
bibechana-72570	137	9	suzuki	suzuki	PROPN
bibechana-72570	137	10	.	.	PUNCT
bibechana-72570	138	1	physics	physics	PROPN
bibechana-72570	138	2	of	of	ADP
bibechana-72570	138	3	simple	simple	ADJ
bibechana-72570	138	4	pendulum	pendulum	NOUN
bibechana-72570	138	5	.	.	PUNCT
bibechana-72570	139	1	2019	2019	NUM
bibechana-72570	139	2	.	.	PUNCT
bibechana-72570	140	1	[	[	X
bibechana-72570	140	2	10	10	NUM
bibechana-72570	140	3	]	]	X
bibechana-72570	140	4	d.	d.	PROPN
bibechana-72570	140	5	w.	w.	PROPN
bibechana-72570	140	6	zingg	zingg	PROPN
bibechana-72570	140	7	and	and	CCONJ
bibechana-72570	140	8	t.	t.	PROPN
bibechana-72570	140	9	t.	t.	PROPN
bibechana-72570	140	10	chisholm	chisholm	PROPN
bibechana-72570	140	11	.	.	PUNCT
bibechana-72570	140	12	runge	runge	PROPN
bibechana-72570	140	13	–	–	PUNCT
bibechana-72570	140	14	kutta	kutta	NOUN
bibechana-72570	140	15	methods	method	NOUN
bibechana-72570	140	16	for	for	ADP
bibechana-72570	140	17	linear	linear	ADJ
bibechana-72570	140	18	ordinary	ordinary	ADJ
bibechana-72570	140	19	differential	differential	ADJ
bibechana-72570	140	20	equations	equation	NOUN
bibechana-72570	140	21	.	.	PUNCT
bibechana-72570	141	1	applied	apply	VERB
bibechana-72570	141	2	numerical	numerical	ADJ
bibechana-72570	141	3	mathematics	mathematic	NOUN
bibechana-72570	141	4	,	,	PUNCT
bibechana-72570	141	5	31(2):227–238	31(2):227–238	PROPN
bibechana-72570	141	6	,	,	PUNCT
bibechana-72570	141	7	1999	1999	NUM
bibechana-72570	141	8	.	.	PUNCT
bibechana-72570	142	1	[	[	X
bibechana-72570	142	2	11	11	NUM
bibechana-72570	142	3	]	]	PUNCT
bibechana-72570	142	4	a.	a.	NOUN
bibechana-72570	142	5	tocino	tocino	PROPN
bibechana-72570	142	6	and	and	CCONJ
bibechana-72570	142	7	r.	r.	PROPN
bibechana-72570	142	8	ardanuy	ardanuy	PROPN
bibechana-72570	142	9	.	.	PUNCT
bibechana-72570	143	1	runge	runge	NOUN
bibechana-72570	143	2	–	–	PUNCT
bibechana-72570	143	3	kutta	kutta	NOUN
bibechana-72570	143	4	methods	method	NOUN
bibechana-72570	143	5	for	for	ADP
bibechana-72570	143	6	numerical	numerical	ADJ
bibechana-72570	143	7	solution	solution	NOUN
bibechana-72570	143	8	of	of	ADP
bibechana-72570	143	9	stochastic	stochastic	ADJ
bibechana-72570	143	10	differential	differential	ADJ
bibechana-72570	143	11	equations	equation	NOUN
bibechana-72570	143	12	.	.	PUNCT
bibechana-72570	144	1	journal	journal	NOUN
bibechana-72570	144	2	of	of	ADP
bibechana-72570	144	3	computational	computational	ADJ
bibechana-72570	144	4	and	and	CCONJ
bibechana-72570	144	5	applied	applied	ADJ
bibechana-72570	144	6	mathematics	mathematic	NOUN
bibechana-72570	144	7	,	,	PUNCT
bibechana-72570	144	8	138(2):219	138(2):219	NUM
bibechana-72570	144	9	–	–	PUNCT
bibechana-72570	144	10	241	241	NUM
bibechana-72570	144	11	,	,	PUNCT
bibechana-72570	144	12	2002	2002	NUM
bibechana-72570	144	13	.	.	PUNCT
bibechana-72570	145	1	http://www.physics.ntua.gr/~konstant/computationalphysics	http://www.physics.ntua.gr/~konstant/computationalphysics	PROPN
bibechana-72570	145	2	http://www.physics.ntua.gr/~konstant/computationalphysics	http://www.physics.ntua.gr/~konstant/computationalphysics	PROPN
bibechana-72570	145	3	introduction	introduction	NOUN
bibechana-72570	145	4	materials	material	NOUN
bibechana-72570	145	5	and	and	CCONJ
bibechana-72570	145	6	methods	method	NOUN
bibechana-72570	145	7	damped	damped	VERB
bibechana-72570	145	8	harmonic	harmonic	ADJ
bibechana-72570	145	9	oscillator	oscillator	NOUN
bibechana-72570	145	10	forced	force	VERB
bibechana-72570	145	11	damped	damped	NOUN
bibechana-72570	145	12	pendulum	pendulum	NOUN
bibechana-72570	145	13	methodology	methodology	NOUN
bibechana-72570	145	14	results	result	NOUN
bibechana-72570	145	15	and	and	CCONJ
bibechana-72570	145	16	discussions	discussion	NOUN
bibechana-72570	145	17	conclusions	conclusion	NOUN
bibechana-72570	145	18	acknowledgments	acknowledgment	VERB