id	sid	eid	entity	type
ma-100	1	1	2023	CARDINAL
ma-100	2	1	j. math	PERSON
ma-100	4	1	3 (	CARDINAL
ma-100	4	2	2023	CARDINAL
ma-100	5	1	2doi	CARDINAL
ma-100	5	2	10.28924	CARDINAL
ma-100	5	3	florida state university, usa correspondence: tazizi@fsu.edu	ORG
ma-100	13	1	dependingon	ORG
ma-100	15	1	1	CARDINAL
ma-100	15	2	modelingcomplex	ORG
ma-100	16	1	2	CARDINAL
ma-100	16	2	6	CARDINAL
ma-100	17	1	17	CARDINAL
ma-100	17	2	2022	CARDINAL
ma-100	19	1	homoclinic bifurcation	ORG
ma-100	20	1	1	CARDINAL
ma-100	21	1	j. math	PERSON
ma-100	23	1	10.28924	CARDINAL
ma-100	24	1	7	CARDINAL
ma-100	25	1	depression.non-linear	PRODUCT
ma-100	26	1	9–13	CARDINAL
ma-100	27	1	1948	DATE
ma-100	28	1	9	CARDINAL
ma-100	29	1	9,16,17	CARDINAL
ma-100	32	1	moaddy	PERSON
ma-100	34	1	al	ORG
ma-100	35	1	20	CARDINAL
ma-100	36	1	one	CARDINAL
ma-100	37	1	21,22	CARDINAL
ma-100	41	1	al	PERSON
ma-100	42	1	23	CARDINAL
ma-100	44	1	one	CARDINAL
ma-100	44	2	24].on	CARDINAL
ma-100	44	3	25	CARDINAL
ma-100	46	1	26–28].due	CARDINAL
ma-100	47	1	j. math	PERSON
ma-100	49	1	10.28924	CARDINAL
ma-100	49	2	3	CARDINAL
ma-100	51	1	fractional morris	ORG
ma-100	54	1	2	CARDINAL
ma-100	54	2	29,30	CARDINAL
ma-100	56	1	0	CARDINAL
ma-100	57	1	γ ∈	ORG
ma-100	57	2	1	CARDINAL
ma-100	57	3	2	DATE
ma-100	59	1	riemann-liouville	ORG
ma-100	59	2	γ(k	PERSON
ma-100	61	1	0	CARDINAL
ma-100	63	1	s−γ t∑ i=0	ORG
ma-100	64	1	1	CARDINAL
ma-100	67	1	1	CARDINAL
ma-100	69	1	2	CARDINAL
ma-100	70	1	j. math	PERSON
ma-100	72	1	10.28924	CARDINAL
ma-100	74	1	s−γ	NORP
ma-100	74	2	1	CARDINAL
ma-100	74	3	2	DATE
ma-100	76	1	one	CARDINAL
ma-100	80	1	3	CARDINAL
ma-100	81	1	0	CARDINAL
ma-100	82	1	3	CARDINAL
ma-100	83	1	− yk φ(s	PERSON
ma-100	84	1	+o(φ(s	DATE
ma-100	84	2	4	CARDINAL
ma-100	86	1	− yk φ(s	PERSON
ma-100	86	2	5	CARDINAL
ma-100	86	3	φ(s	GPE
ma-100	86	4	φ(s	GPE
ma-100	87	1	φ(s	GPE
ma-100	87	2	0	CARDINAL
ma-100	87	3	1	CARDINAL
ma-100	87	4	0,∞)here	CARDINAL
ma-100	87	5	4	CARDINAL
ma-100	88	1	lim	PERSON
ma-100	89	1	φ(s	GPE
ma-100	90	1	+o(φ(s	DATE
ma-100	92	1	φ(s	GPE
ma-100	94	1	4	CARDINAL
ma-100	97	1	j. math	PERSON
ma-100	99	1	10.28924	CARDINAL
ma-100	100	1	3.	CARDINAL
ma-100	100	2	kathleen morris	PERSON
ma-100	100	3	1981	DATE
ma-100	100	4	35	CARDINAL
ma-100	100	5	four	CARDINAL
ma-100	100	6	35	CARDINAL
ma-100	100	7	36	CARDINAL
ma-100	101	1	three	CARDINAL
ma-100	102	1	eca	ORG
ma-100	103	1	w	GPE
ma-100	103	2	dw	ORG
ma-100	104	1	6	CARDINAL
ma-100	104	2	1 2	CARDINAL
ma-100	105	1	7	CARDINAL
ma-100	105	2	8)	CARDINAL
ma-100	105	3	1 2	CARDINAL
ma-100	106	1	− v3)/v4	ORG
ma-100	107	1	9	CARDINAL
ma-100	107	2	w	GPE
ma-100	107	3	− el	PERSON
ma-100	108	1	eca	ORG
ma-100	108	2	10	CARDINAL
ma-100	108	3	two	CARDINAL
ma-100	108	4	w	GPE
ma-100	109	1	eca	ORG
ma-100	110	1	iapp	PERSON
ma-100	111	1	φ	PERSON
ma-100	112	1	gk	PERSON
ma-100	112	2	gca	ORG
ma-100	115	1	recent decades	DATE
ma-100	117	1	3.1	CARDINAL
ma-100	118	1	6	CARDINAL
ma-100	119	1	morris	GPE
ma-100	119	2	icm	ORG
ma-100	120	1	j. math	PERSON
ma-100	122	1	10.28924	CARDINAL
ma-100	122	2	icm	ORG
ma-100	122	3	44	CARDINAL
ma-100	125	1	11	CARDINAL
ma-100	125	2	second	ORDINAL
ma-100	125	3	w(t	PERSON
ma-100	129	1	12	CARDINAL
ma-100	129	2	11	CARDINAL
ma-100	129	3	12	CARDINAL
ma-100	130	1	t] h i=0 c η	ORG
ma-100	131	1	t] h i=0 c η	ORG
ma-100	132	1	1	CARDINAL
ma-100	132	2	2	DATE
ma-100	132	3	3	DATE
ma-100	133	1	1− 1 + η	DATE
ma-100	133	2	cη0	GPE
ma-100	135	1	1	CARDINAL
ma-100	135	2	2	DATE
ma-100	137	1	11	CARDINAL
ma-100	137	2	12)following	CARDINAL
ma-100	138	1	have: cm ∑k+1 i=0	ORG
ma-100	138	2	− gl(vk − el)−	PERSON
ma-100	138	3	eca	ORG
ma-100	139	1	φ(n∞(vk)− wk)/τwk	PERSON
ma-100	139	2	13	CARDINAL
ma-100	139	3	m∞(vk	NORP
ma-100	139	4	1 2	CARDINAL
ma-100	139	5	14	CARDINAL
ma-100	140	1	15	CARDINAL
ma-100	141	1	1 2	CARDINAL
ma-100	142	1	16	CARDINAL
ma-100	144	1	eca	ORG
ma-100	144	2	17	CARDINAL
ma-100	145	1	j. math	PERSON
ma-100	147	1	10.28924	CARDINAL
ma-100	147	2	7	CARDINAL
ma-100	147	3	1	CARDINAL
ma-100	149	1	algebra,	ORG
ma-100	151	1	cη0	GPE
ma-100	151	2	18	CARDINAL
ma-100	151	3	cη0 = ψ(h)−η	GPE
ma-100	153	1	three	CARDINAL
ma-100	153	2	1	CARDINAL
ma-100	154	1	18	CARDINAL
ma-100	156	1	3.2	CARDINAL
ma-100	161	1	hartman-grobman	PERSON
ma-100	163	1	j. math	PERSON
ma-100	165	1	10.28924	CARDINAL
ma-100	165	2	8theorem	CARDINAL
ma-100	165	3	g(vk	PERSON
ma-100	165	4	19	CARDINAL
ma-100	165	5	∗	CARDINAL
ma-100	165	6	linear	ORG
ma-100	166	1	first	ORDINAL
ma-100	166	2	∗	CARDINAL
ma-100	166	3	19	CARDINAL
ma-100	166	4	∗ +	ORG
ma-100	168	1	w	GPE
ma-100	168	2	w∗	DATE
ma-100	170	1	v̄	ORG
ma-100	170	2	v̄	ORG
ma-100	171	1	∂g(v̄	CARDINAL
ma-100	173	1		DATE
ma-100	173	2	20	CARDINAL
ma-100	173	3	f̃	PRODUCT
ma-100	173	4	g̃	PERSON
ma-100	173	5	19	CARDINAL
ma-100	173	6	v̄	ORG
ma-100	174	1	v̄	GPE
ma-100	177	1	cη0	GPE
ma-100	180	1	−φ− τwk	PERSON
ma-100	181	1	cη0	GPE
ma-100	182	1	20	CARDINAL
ma-100	182	2	21	CARDINAL
ma-100	183	1	first	ORDINAL
ma-100	183	2	eca	ORG
ma-100	184	1	0	CARDINAL
ma-100	185	1	0	CARDINAL
ma-100	186	1	0	CARDINAL
ma-100	187	1	v̄	GPE
ma-100	189	1	0	CARDINAL
ma-100	189	2	φ	ORG
ma-100	191	1	j. math	PERSON
ma-100	193	1	10.28924	CARDINAL
ma-100	193	2	94	CARDINAL
ma-100	195	1	one	CARDINAL
ma-100	195	2	two	CARDINAL
ma-100	197	1	13	CARDINAL
ma-100	197	2	5	CARDINAL
ma-100	197	3	30	DATE
ma-100	197	4	45	DATE
ma-100	197	5	100	CARDINAL
ma-100	197	6	1	CARDINAL
ma-100	198	1	6	CARDINAL
ma-100	198	2	the third row	DATE
ma-100	199	1	5)-(9	CARDINAL
ma-100	199	2	13	CARDINAL
ma-100	199	3	6	CARDINAL
ma-100	199	4	0.3	CARDINAL
ma-100	199	5	0.7	CARDINAL
ma-100	199	6	0.9	CARDINAL
ma-100	199	7	13	CARDINAL
ma-100	200	1		ORG
ma-100	200	2	22	CARDINAL
ma-100	200	3	cη0	GPE
ma-100	203	1	cη0	GPE
ma-100	203	2	23	CARDINAL
ma-100	203	3	jacobian	NORP
ma-100	203	4	13	CARDINAL
ma-100	203	5	first	ORDINAL
ma-100	207	1	0	CARDINAL
ma-100	208	1	j. math	PERSON
ma-100	210	1	10.28924	CARDINAL
ma-100	210	2	10	CARDINAL
ma-100	210	3	1	CARDINAL
ma-100	210	4	fractionalmorris	GPE
ma-100	210	5	13	CARDINAL
ma-100	210	6	5	CARDINAL
ma-100	210	7	third	ORDINAL
ma-100	210	8	6	CARDINAL
ma-100	212	1	j. math	PERSON
ma-100	214	1	10.28924	CARDINAL
ma-100	214	2	11	CARDINAL
ma-100	214	3	2	CARDINAL
ma-100	214	4	fractionalmorris	GPE
ma-100	214	5	13	CARDINAL
ma-100	214	6	30, third row	DATE
ma-100	214	7	6	CARDINAL
ma-100	216	1	j. math	PERSON
ma-100	218	1	10.28924	CARDINAL
ma-100	218	2	12	CARDINAL
ma-100	218	3	3	CARDINAL
ma-100	218	4	fractionalmorris	GPE
ma-100	218	5	13	CARDINAL
ma-100	218	6	45, third row	DATE
ma-100	218	7	6	CARDINAL
ma-100	220	1	j. math	PERSON
ma-100	222	1	10.28924	CARDINAL
ma-100	222	2	13	CARDINAL
ma-100	222	3	4	CARDINAL
ma-100	222	4	fractionalmorris	GPE
ma-100	222	5	13	CARDINAL
ma-100	222	6	100	CARDINAL
ma-100	222	7	third	ORDINAL
ma-100	222	8	6	CARDINAL
ma-100	224	1	j. math	PERSON
ma-100	226	1	10.28924	CARDINAL
ma-100	226	2	14	CARDINAL
ma-100	226	3	5	CARDINAL
ma-100	226	4	13	CARDINAL
ma-100	226	5	20, third row	DATE
ma-100	226	6	6	CARDINAL
ma-100	228	1	j. math	PERSON
ma-100	230	1	10.28924	CARDINAL
ma-100	230	2	15	CARDINAL
ma-100	230	3	6	CARDINAL
ma-100	231	1	13	CARDINAL
ma-100	231	2	88, third row	DATE
ma-100	231	3	6	CARDINAL
ma-100	233	1	j. math	PERSON
ma-100	235	1	10.28924	CARDINAL
ma-100	235	2	16	CARDINAL
ma-100	235	3	7	CARDINAL
ma-100	235	4	13	CARDINAL
ma-100	235	5	90, third row	DATE
ma-100	235	6	6	CARDINAL
ma-100	237	1	j. math	PERSON
ma-100	239	1	10.28924	CARDINAL
ma-100	239	2	17	CARDINAL
ma-100	239	3	8	CARDINAL
ma-100	239	4	13	CARDINAL
ma-100	239	5	95, third row	DATE
ma-100	239	6	6	CARDINAL
ma-100	241	1	j. math	PERSON
ma-100	243	1	10.28924	CARDINAL
ma-100	243	2	18	CARDINAL
ma-100	243	3	9	CARDINAL
ma-100	243	4	13	CARDINAL
ma-100	243	5	220	CARDINAL
ma-100	243	6	third	ORDINAL
ma-100	243	7	6	CARDINAL
ma-100	245	1	j. math	PERSON
ma-100	247	1	10.28924	CARDINAL
ma-100	247	2	ada/ma.3.2	ORG
ma-100	247	3	19oscillations	CARDINAL
ma-100	250	1	10)-(14),demonstrate	CARDINAL
ma-100	250	2	saddle-homoclinic	ORG
ma-100	250	3	23	CARDINAL
ma-100	250	4	40	DATE
ma-100	250	5	50	DATE
ma-100	250	6	60	DATE
ma-100	250	7	70	DATE
ma-100	250	8	6	CARDINAL
ma-100	250	9	η = 0.3	PERSON
ma-100	250	10	0.7	CARDINAL
ma-100	250	11	0.9	CARDINAL
ma-100	250	12	saddle homoclinic	ORG
ma-100	251	1	5	CARDINAL
ma-100	251	2	phe-nomenon	ORG
ma-100	253	1	hodgkin-huxley	ORG
ma-100	253	2	two	CARDINAL
ma-100	253	3	three	CARDINAL
ma-100	259	1	saddle-homoclinic	NORP
ma-100	261	1	j. math	PERSON
ma-100	263	1	10.28924	CARDINAL
ma-100	263	2	20	CARDINAL
ma-100	263	3	10	CARDINAL
ma-100	264	1	saddle-homoclinic	NORP
ma-100	264	2	13	CARDINAL
ma-100	264	3	23, third row	DATE
ma-100	266	1	j. math	PERSON
ma-100	268	1	10.28924	CARDINAL
ma-100	268	2	21	CARDINAL
ma-100	268	3	11	CARDINAL
ma-100	269	1	saddle-homoclinic	NORP
ma-100	269	2	13	CARDINAL
ma-100	269	3	40, third row	DATE
ma-100	271	1	j. math	PERSON
ma-100	273	1	10.28924	CARDINAL
ma-100	273	2	22	CARDINAL
ma-100	273	3	12	CARDINAL
ma-100	274	1	saddle-homoclinic	NORP
ma-100	274	2	13	CARDINAL
ma-100	274	3	50, third row	DATE
ma-100	276	1	j. math	PERSON
ma-100	278	1	10.28924	CARDINAL
ma-100	278	2	23	CARDINAL
ma-100	278	3	13	CARDINAL
ma-100	279	1	saddle-homoclinic	NORP
ma-100	279	2	13	CARDINAL
ma-100	279	3	60, third row	DATE
ma-100	281	1	j. math	PERSON
ma-100	283	1	10.28924	CARDINAL
ma-100	283	2	24	CARDINAL
ma-100	283	3	14	DATE
ma-100	284	1	saddle-homoclinic	NORP
ma-100	284	2	13	CARDINAL
ma-100	284	3	70, third row	DATE
ma-100	286	1	j. math	PERSON
ma-100	288	1	10.28924	CARDINAL
ma-100	288	2	ada/ma.3.2	ORG
ma-100	296	1	1	CARDINAL
ma-100	296	2	r. hilfer	PERSON
ma-100	296	3	singapore	GPE
ma-100	296	4	2000	DATE
ma-100	298	1	d. baleanu	PERSON
ma-100	298	2	s. lakshmanan	PERSON
ma-100	298	3	r. rakkiyappan	PERSON
ma-100	298	4	2014) 136263	DATE
ma-100	299	1	s. lakshmanan	PERSON
ma-100	299	2	a.h.	GPE
ma-100	299	3	hashish	GPE
ma-100	299	4	r. rakkiyappan	PERSON
ma-100	299	5	e. ahmed	PERSON
ma-100	300	1	80	CARDINAL
ma-100	300	2	2015	CARDINAL
ma-100	302	1	a. hashish	PERSON
ma-100	302	2	f. al-maskari	PERSON
ma-100	303	1	j. tumor res.2	PERSON
ma-100	303	2	2016	DATE
ma-100	304	1	j. gómez-aguilar	PERSON
ma-100	304	2	m. lópez-lópez	PERSON
ma-100	304	3	alvarado-martínez	GPE
ma-100	304	4	d. baleanu	PERSON
ma-100	304	5	h. khan	PERSON
ma-100	305	1	19	CARDINAL
ma-100	305	2	2017	CARDINAL
ma-100	305	3	681	CARDINAL
ma-100	306	1	m. zeinadini	PERSON
ma-100	306	2	m. namjoo	PERSON
ma-100	306	3	j. math	PERSON
ma-100	308	1	46	DATE
ma-100	308	2	2017	CARDINAL
ma-100	308	3	469	CARDINAL
ma-100	309	1	syst	ORG
ma-100	310	1	2	CARDINAL
ma-100	310	2	963	CARDINAL
ma-100	310	3	e. ahmed	PERSON
ma-100	311	1	el-sayed	ORG
ma-100	311	2	h.a.a	GPE
ma-100	312	1	el-saka	PERSON
ma-100	312	2	hurwitz conditions	PERSON
ma-100	312	3	lorenz	PERSON
ma-100	312	4	chua	ORG
ma-100	312	5	chen systems	PERSON
ma-100	313	1	lett.	PERSON
ma-100	314	1	a. 358	PERSON
ma-100	314	2	2006	DATE
ma-100	314	3	1–4	CARDINAL
ma-100	314	4	//doi.org/10.1016	PERSON
ma-100	314	5	e.m.	GPE
ma-100	315	1	2007.[10	CARDINAL
ma-100	316	1	e.m.	GPE
ma-100	318	1	14 (2003	DATE
ma-100	318	2	1569–1572	CARDINAL
ma-100	320	1	e.m.	GPE
ma-100	322	1	15 (2004	DATE
ma-100	322	2	1063–1070	DATE
ma-100	324	1	https://doi.org/10.1155/2014/136263	PERSON
ma-100	326	1	j. math	PERSON
ma-100	328	1	10.28924	CARDINAL
ma-100	328	2	26	CARDINAL
ma-100	329	1	12	CARDINAL
ma-100	329	2	e.m.	GPE
ma-100	330	1	j. bifurcation chaos	ORG
ma-100	331	1	10 (2000	CARDINAL
ma-100	331	2	1171–1266	CARDINAL
ma-100	332	1	https	PERSON
ma-100	332	2	e.m.	GPE
ma-100	333	1	new york	GPE
ma-100	333	2	2012	DATE
ma-100	334	1	org/10.1007/978-1-4612-1828-9.[14	CARDINAL
ma-100	334	2	j. physiol	PERSON
ma-100	335	1	107(1948	CARDINAL
ma-100	336	1	165–181	CARDINAL
ma-100	337	1	a.f. huxley	PERSON
ma-100	337	2	j. physiol	PERSON
ma-100	338	1	117	CARDINAL
ma-100	338	2	1952	DATE
ma-100	338	3	500–544	CARDINAL
ma-100	338	4	j. rinzel	PERSON
ma-100	338	5	g.b. ermentrout	PERSON
ma-100	338	6	cambridge	GPE
ma-100	338	7	ma	GPE
ma-100	338	8	j. rinzel	PERSON
ma-100	338	9	g.b. ermentrout	PERSON
ma-100	338	10	cambridge	GPE
ma-100	338	11	ma	ORG
ma-100	338	12	d.h.	GPE
ma-100	338	13	new york	GPE
ma-100	338	14	2010	DATE
ma-100	339	1	https	PERSON
ma-100	339	2	//doi.org/10.1007/978	CARDINAL
ma-100	340	1	8 (1996	DATE
ma-100	340	2	979–1001	DATE
ma-100	341	1	k. moaddy	PERSON
ma-100	341	2	a.g. radwan	GPE
ma-100	341	3	k.n.	GPE
ma-100	341	4	salama	GPE
ma-100	341	5	s. momani	PERSON
ma-100	341	6	i. hashim	PERSON
ma-100	343	1	64	CARDINAL
ma-100	343	2	2012	DATE
ma-100	344	1	3329–3339	CARDINAL
ma-100	345	1	b.n.	PERSON
ma-100	345	2	m.h. higgs	GPE
ma-100	345	3	w.j. spain	GPE
ma-100	345	4	a.l.	GPE
ma-100	345	5	nat	ORG
ma-100	346	1	neurosci	PERSON
ma-100	347	1	11 (2008) 1335–1342	DATE
ma-100	348	1	malik	ORG
ma-100	348	2	a.h. mir	GPE
ma-100	348	3	fpga	ORG
ma-100	350	1	81	CARDINAL
ma-100	350	2	2020	DATE
ma-100	351	1	372–385	CARDINAL
ma-100	352	1	//doi.org/10.1016	PERSON
ma-100	352	2	m. shi	PERSON
ma-100	352	3	z. wang	PERSON
ma-100	353	1	nonlinearsci	PERSON
ma-100	356	1	19	CARDINAL
ma-100	356	2	2014	DATE
ma-100	356	3	1956–1969	DATE
ma-100	357	1	] d. jun, z. guang-jun	PERSON
ma-100	357	2	x. yong	PERSON
ma-100	357	3	y. hong	PERSON
ma-100	357	4	w. jue	PERSON
ma-100	359	1	8 (2013	DATE
ma-100	359	2	167–175	DATE
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