id	sid	eid	entity	type
ejpam-5662	1	1	european journal	ORG
ejpam-5662	1	2	2025	DATE
ejpam-5662	1	3	18	CARDINAL
ejpam-5662	1	4	2	CARDINAL
ejpam-5662	1	5	5662	CARDINAL
ejpam-5662	1	6	1307-5543	DATE
ejpam-5662	1	7	new york	GPE
ejpam-5662	1	8	two-degree-of-freedom	QUANTITY
ejpam-5662	1	9	asma alanazy1	PERSON
ejpam-5662	1	10	m. moatimid2	PERSON
ejpam-5662	1	11	mona a.a	PERSON
ejpam-5662	1	12	1	CARDINAL
ejpam-5662	1	13	kingdom	GPE
ejpam-5662	1	14	saudi arabia	GPE
ejpam-5662	1	15	2	CARDINAL
ejpam-5662	1	16	ain shams university	ORG
ejpam-5662	1	17	roxy	GPE
ejpam-5662	1	18	cairo	GPE
ejpam-5662	1	19	egypt	GPE
ejpam-5662	4	1	two-degree-of-freedom	QUANTITY
ejpam-5662	13	1	mathematica	PERSON
ejpam-5662	18	1	2020	DATE
ejpam-5662	18	2	34c15	CARDINAL
ejpam-5662	18	3	34c25	CARDINAL
ejpam-5662	18	4	37d45	CARDINAL
ejpam-5662	18	5	70k30	CARDINAL
ejpam-5662	18	6	70h06	CARDINAL
ejpam-5662	18	7	∗corresponding	PERSON
ejpam-5662	19	1	a. alanazy	PERSON
ejpam-5662	19	2	g. m. moatimid	PERSON
ejpam-5662	19	3	monaali@edu.asu.edu.eg	PERSON
ejpam-5662	19	4	m. a. a. mohamed	PERSON
ejpam-5662	19	5	1	CARDINAL
ejpam-5662	19	6	2025	CARDINAL
ejpam-5662	20	1	a. alanazy	PERSON
ejpam-5662	20	2	g. m. moatimid	PERSON
ejpam-5662	20	3	m. a. a. mohamed	PERSON
ejpam-5662	21	1	j. pure	PERSON
ejpam-5662	21	2	18	CARDINAL
ejpam-5662	21	3	2	CARDINAL
ejpam-5662	21	4	2025	CARDINAL
ejpam-5662	21	5	5662 2	DATE
ejpam-5662	21	6	36 1	DATE
ejpam-5662	23	1	the eighteenth century	DATE
ejpam-5662	24	1	1	CARDINAL
ejpam-5662	24	2	2	CARDINAL
ejpam-5662	24	3	3	CARDINAL
ejpam-5662	25	1	4	CARDINAL
ejpam-5662	29	1	5	CARDINAL
ejpam-5662	30	1	6	CARDINAL
ejpam-5662	33	1	mathieu	PERSON
ejpam-5662	37	1	8-11	CARDINAL
ejpam-5662	38	1	12	CARDINAL
ejpam-5662	42	1	one	CARDINAL
ejpam-5662	44	1	mathieu	PERSON
ejpam-5662	47	1	two-degree-of-freedom	QUANTITY
ejpam-5662	47	2	a. alanazy	PERSON
ejpam-5662	47	3	g. m. moatimid	PERSON
ejpam-5662	47	4	m. a. a. mohamed	PERSON
ejpam-5662	48	1	j. pure	PERSON
ejpam-5662	48	2	18	CARDINAL
ejpam-5662	48	3	2	CARDINAL
ejpam-5662	48	4	2025	CARDINAL
ejpam-5662	48	5	5662 3	DATE
ejpam-5662	48	6	mdo	ORG
ejpam-5662	51	1	two	CARDINAL
ejpam-5662	51	2	one	CARDINAL
ejpam-5662	51	3	13	CARDINAL
ejpam-5662	52	1	14	CARDINAL
ejpam-5662	53	1	linear	ORG
ejpam-5662	53	2	one	CARDINAL
ejpam-5662	55	1	7	CARDINAL
ejpam-5662	55	2	12	CARDINAL
ejpam-5662	55	3	first	ORDINAL
ejpam-5662	55	4	four	CARDINAL
ejpam-5662	55	5	first	ORDINAL
ejpam-5662	55	6	two	CARDINAL
ejpam-5662	57	1	second	ORDINAL
ejpam-5662	59	1	15	CARDINAL
ejpam-5662	61	1	one	CARDINAL
ejpam-5662	66	1	16	CARDINAL
ejpam-5662	66	2	17	CARDINAL
ejpam-5662	70	1	18	CARDINAL
ejpam-5662	73	1	12	CARDINAL
ejpam-5662	74	1	a. alanazy	PERSON
ejpam-5662	74	2	g. m. moatimid	PERSON
ejpam-5662	74	3	m. a. a. mohamed	PERSON
ejpam-5662	75	1	j. pure	PERSON
ejpam-5662	75	2	18	CARDINAL
ejpam-5662	75	3	2	CARDINAL
ejpam-5662	75	4	2025	CARDINAL
ejpam-5662	75	5	5662 4 of 36	DATE
ejpam-5662	76	1	19	CARDINAL
ejpam-5662	79	1	20	CARDINAL
ejpam-5662	80	1	moatimid et al	PERSON
ejpam-5662	81	1	21	CARDINAL
ejpam-5662	86	1	25	CARDINAL
ejpam-5662	87	1	chinese	NORP
ejpam-5662	89	1	26	CARDINAL
ejpam-5662	92	1	two	CARDINAL
ejpam-5662	93	1	27	CARDINAL
ejpam-5662	97	1	28	CARDINAL
ejpam-5662	99	1	29	CARDINAL
ejpam-5662	101	1	30	CARDINAL
ejpam-5662	107	1	30	CARDINAL
ejpam-5662	108	1	mdo	ORG
ejpam-5662	108	2	a. alanazy	PERSON
ejpam-5662	108	3	g. m. moatimid	PERSON
ejpam-5662	108	4	m. a. a. mohamed	PERSON
ejpam-5662	109	1	j. pure	PERSON
ejpam-5662	109	2	18	CARDINAL
ejpam-5662	109	3	2	CARDINAL
ejpam-5662	109	4	2025	CARDINAL
ejpam-5662	109	5	5662 5	DATE
ejpam-5662	109	6	36	CARDINAL
ejpam-5662	110	1	1	CARDINAL
ejpam-5662	111	1	mdo	ORG
ejpam-5662	112	1	i.	PERSON
ejpam-5662	115	1	2	CARDINAL
ejpam-5662	117	1	3	CARDINAL
ejpam-5662	119	1	4	CARDINAL
ejpam-5662	119	2	mdo	ORG
ejpam-5662	122	1	1	CARDINAL
ejpam-5662	125	1	2	CARDINAL
ejpam-5662	127	1	3	CARDINAL
ejpam-5662	127	2	mdo	ORG
ejpam-5662	128	1	4	CARDINAL
ejpam-5662	129	1	5	CARDINAL
ejpam-5662	130	1	a. alanazy	PERSON
ejpam-5662	130	2	g. m. moatimid	PERSON
ejpam-5662	130	3	m. a. a. mohamed	PERSON
ejpam-5662	131	1	j. pure	PERSON
ejpam-5662	131	2	18	CARDINAL
ejpam-5662	131	3	2	CARDINAL
ejpam-5662	131	4	2025	CARDINAL
ejpam-5662	131	5	5662 6	CARDINAL
ejpam-5662	131	6	36	CARDINAL
ejpam-5662	132	1	1	CARDINAL
ejpam-5662	134	1	2	CARDINAL
ejpam-5662	135	1	barakat et al	PERSON
ejpam-5662	136	1	45	CARDINAL
ejpam-5662	136	2	mdo	ORG
ejpam-5662	139	1	46	CARDINAL
ejpam-5662	140	1	two	CARDINAL
ejpam-5662	140	2	linear	ORG
ejpam-5662	141	1	2	CARDINAL
ejpam-5662	142	1	3	CARDINAL
ejpam-5662	144	1	mdo	ORG
ejpam-5662	144	2	§ 4	DATE
ejpam-5662	145	1	un	ORG
ejpam-5662	145	2	mdo	ORG
ejpam-5662	146	1	6	CARDINAL
ejpam-5662	146	2	2	CARDINAL
ejpam-5662	146	3	30	CARDINAL
ejpam-5662	146	4	46	CARDINAL
ejpam-5662	147	1	ẍ+ f1(x	PERSON
ejpam-5662	148	1	1	CARDINAL
ejpam-5662	151	1	2	CARDINAL
ejpam-5662	151	2	f1	PERSON
ejpam-5662	153	1	7	CARDINAL
ejpam-5662	153	2	12	CARDINAL
ejpam-5662	156	1	nonlinear eqs	ORG
ejpam-5662	157	1	1	CARDINAL
ejpam-5662	157	2	2	CARDINAL
ejpam-5662	158	1	two	CARDINAL
ejpam-5662	158	2	eqs	ORG
ejpam-5662	159	1	1	CARDINAL
ejpam-5662	159	2	2	CARDINAL
ejpam-5662	159	3	a. alanazy	PERSON
ejpam-5662	159	4	g. m. moatimid	PERSON
ejpam-5662	159	5	m. a. a. mohamed	PERSON
ejpam-5662	160	1	j. pure	PERSON
ejpam-5662	160	2	18	CARDINAL
ejpam-5662	160	3	2	CARDINAL
ejpam-5662	160	4	2025	CARDINAL
ejpam-5662	160	5	5662 7	DATE
ejpam-5662	160	6	cosω1	ORG
ejpam-5662	162	1	cosω2	ORG
ejpam-5662	162	2	3	CARDINAL
ejpam-5662	163	1	3	CARDINAL
ejpam-5662	164	1	0	CARDINAL
ejpam-5662	165	1	0	CARDINAL
ejpam-5662	166	1	4	CARDINAL
ejpam-5662	166	2	linear	ORG
ejpam-5662	167	1	30	CARDINAL
ejpam-5662	168	1	σeqv1	PERSON
ejpam-5662	169	1	f1(ũ	ORG
ejpam-5662	169	2	ṽ	ORG
ejpam-5662	169	3	˙̃v	GPE
ejpam-5662	170	1	5	CARDINAL
ejpam-5662	170	2	g1	ORG
ejpam-5662	172	1	2π	CARDINAL
ejpam-5662	172	2	0 ũ f2(ũ	ORG
ejpam-5662	172	3	ṽ	ORG
ejpam-5662	172	4	˙̃v	GPE
ejpam-5662	173	1	6	CARDINAL
ejpam-5662	175	1	30	CARDINAL
ejpam-5662	175	2	46	DATE
ejpam-5662	175	3	2 √ 2	DATE
ejpam-5662	175	4	2 √ 2	DATE
ejpam-5662	176	1	2 √ 2	DATE
ejpam-5662	176	2	2 √ 2	DATE
ejpam-5662	176	3	2 2 √ 2	CARDINAL
ejpam-5662	178	1	2 √ 2	DATE
ejpam-5662	178	2	2 √ 2	DATE
ejpam-5662	178	3	aω2	ORG
ejpam-5662	178	4	2 √ 2	DATE
ejpam-5662	178	5	2 √ 2	DATE
ejpam-5662	179	1	7	CARDINAL
ejpam-5662	180	1	1	CARDINAL
ejpam-5662	180	2	σeqv1u̇+ϖ2	ORG
ejpam-5662	182	1	ũ(t)exp(−σeqv1t/2	ORG
ejpam-5662	182	2	9	CARDINAL
ejpam-5662	184	1	1ũ	DATE
ejpam-5662	184	2	10	CARDINAL
ejpam-5662	184	3	1	CARDINAL
ejpam-5662	184	4	1 4	CARDINAL
ejpam-5662	184	5	eqv1	PRODUCT
ejpam-5662	184	6	11	CARDINAL
ejpam-5662	184	7	a. alanazy	PERSON
ejpam-5662	184	8	g. m. moatimid	PERSON
ejpam-5662	184	9	m. a. a. mohamed	PERSON
ejpam-5662	185	1	j. pure	PERSON
ejpam-5662	185	2	18	CARDINAL
ejpam-5662	185	3	2	CARDINAL
ejpam-5662	185	4	2025	CARDINAL
ejpam-5662	185	5	5662 8 of 36	DATE
ejpam-5662	185	6	first	ORDINAL
ejpam-5662	186	1	1	CARDINAL
ejpam-5662	186	2	0	CARDINAL
ejpam-5662	186	3	σeqv1	PERSON
ejpam-5662	186	4	0	CARDINAL
ejpam-5662	187	1	12	CARDINAL
ejpam-5662	187	2	second	ORDINAL
ejpam-5662	188	1	13	CARDINAL
ejpam-5662	188	2	σeqv2	ORG
ejpam-5662	188	3	eqs	CARDINAL
ejpam-5662	189	1	5	CARDINAL
ejpam-5662	189	2	6	CARDINAL
ejpam-5662	190	1	2π	CARDINAL
ejpam-5662	192	1	13	CARDINAL
ejpam-5662	193	1	14	CARDINAL
ejpam-5662	193	2	2ṽ	CARDINAL
ejpam-5662	193	3	15	CARDINAL
ejpam-5662	193	4	2	CARDINAL
ejpam-5662	193	5	16	CARDINAL
ejpam-5662	193	6	second	ORDINAL
ejpam-5662	194	1	2	CARDINAL
ejpam-5662	194	2	0	CARDINAL
ejpam-5662	194	3	σeqv2	ORG
ejpam-5662	194	4	0	CARDINAL
ejpam-5662	195	1	17	CARDINAL
ejpam-5662	195	2	11	CARDINAL
ejpam-5662	195	3	16	CARDINAL
ejpam-5662	196	1	3	CARDINAL
ejpam-5662	196	2	mdo	ORG
ejpam-5662	199	1	1	CARDINAL
ejpam-5662	199	2	mathieu	PERSON
ejpam-5662	202	1	2	CARDINAL
ejpam-5662	204	1	a. alanazy	PERSON
ejpam-5662	204	2	g. m. moatimid	PERSON
ejpam-5662	204	3	m. a. a. mohamed	PERSON
ejpam-5662	205	1	j. pure	PERSON
ejpam-5662	205	2	18	CARDINAL
ejpam-5662	205	3	2	CARDINAL
ejpam-5662	205	4	2025	CARDINAL
ejpam-5662	205	5	5662 9 of 36 3	DATE
ejpam-5662	208	1	4	CARDINAL
ejpam-5662	208	2	mathieu	PERSON
ejpam-5662	209	1	5	CARDINAL
ejpam-5662	210	1	6	CARDINAL
ejpam-5662	211	1	1	CARDINAL
ejpam-5662	212	1	2	CARDINAL
ejpam-5662	213	1	3	CARDINAL
ejpam-5662	213	2	control systems	ORG
ejpam-5662	214	1	4	CARDINAL
ejpam-5662	215	1	4.	CARDINAL
ejpam-5662	215	2	mdo	ORG
ejpam-5662	215	3	mdo	ORG
ejpam-5662	217	1	mdo	ORG
ejpam-5662	218	1	two degrees	QUANTITY
ejpam-5662	218	2	38	CARDINAL
ejpam-5662	219	1	1	CARDINAL
ejpam-5662	220	1	2	CARDINAL
ejpam-5662	221	1	3	CARDINAL
ejpam-5662	222	1	a. alanazy	PERSON
ejpam-5662	222	2	g. m. moatimid	PERSON
ejpam-5662	222	3	m. a. a. mohamed	PERSON
ejpam-5662	223	1	j. pure	PERSON
ejpam-5662	223	2	18	CARDINAL
ejpam-5662	223	3	2	CARDINAL
ejpam-5662	223	4	2025	CARDINAL
ejpam-5662	223	5	5662 10 of 36	DATE
ejpam-5662	223	6	mdo	ORG
ejpam-5662	223	7	45	CARDINAL
ejpam-5662	223	8	ẍ+	ORG
ejpam-5662	223	9	1x+	CARDINAL
ejpam-5662	223	10	3 +	DATE
ejpam-5662	223	11	5	CARDINAL
ejpam-5662	223	12	3 +	CARDINAL
ejpam-5662	223	13	0	CARDINAL
ejpam-5662	223	14	18	CARDINAL
ejpam-5662	223	15	2y +	DATE
ejpam-5662	223	16	+ γ2y	DATE
ejpam-5662	223	17	3 + λ2y	DATE
ejpam-5662	223	18	5 +	DATE
ejpam-5662	223	19	3	CARDINAL
ejpam-5662	224	1	0	CARDINAL
ejpam-5662	224	2	19	CARDINAL
ejpam-5662	224	3	two	CARDINAL
ejpam-5662	224	4	two	CARDINAL
ejpam-5662	226	1	18	CARDINAL
ejpam-5662	226	2	19	CARDINAL
ejpam-5662	226	3	30	CARDINAL
ejpam-5662	226	4	46	CARDINAL
ejpam-5662	226	5	x(0	PERSON
ejpam-5662	228	1	0	CARDINAL
ejpam-5662	229	1	0	CARDINAL
ejpam-5662	229	2	20	CARDINAL
ejpam-5662	229	3	eqs	CARDINAL
ejpam-5662	230	1	18	CARDINAL
ejpam-5662	230	2	19	CARDINAL
ejpam-5662	230	3	ẍ+ f1(x	PERSON
ejpam-5662	231	1	0	CARDINAL
ejpam-5662	231	2	21	CARDINAL
ejpam-5662	232	1	0	CARDINAL
ejpam-5662	232	2	22	CARDINAL
ejpam-5662	232	3	two	CARDINAL
ejpam-5662	234	1	1x+	CARDINAL
ejpam-5662	234	2	3 +	DATE
ejpam-5662	234	3	5	CARDINAL
ejpam-5662	234	4	23) f2(x	DATE
ejpam-5662	234	5	3	CARDINAL
ejpam-5662	234	6	24	CARDINAL
ejpam-5662	234	7	2y + γ2y	DATE
ejpam-5662	234	8	5	CARDINAL
ejpam-5662	234	9	25	CARDINAL
ejpam-5662	234	10	+ α2ẏ 3	DATE
ejpam-5662	235	1	26	CARDINAL
ejpam-5662	235	2	eqs	CARDINAL
ejpam-5662	236	1	21	CARDINAL
ejpam-5662	236	2	22	CARDINAL
ejpam-5662	236	3	cosω1	ORG
ejpam-5662	236	4	ṽ	ORG
ejpam-5662	236	5	cosω2	ORG
ejpam-5662	236	6	27	CARDINAL
ejpam-5662	237	1	ξ1u̇+ϖ2 1u	DATE
ejpam-5662	237	2	0	CARDINAL
ejpam-5662	237	3	2v	CARDINAL
ejpam-5662	237	4	0	CARDINAL
ejpam-5662	238	1	28	CARDINAL
ejpam-5662	239	1	a. alanazy	PERSON
ejpam-5662	239	2	g. m. moatimid	PERSON
ejpam-5662	239	3	m. a. a. mohamed	PERSON
ejpam-5662	240	1	j. pure	PERSON
ejpam-5662	240	2	18	CARDINAL
ejpam-5662	240	3	2	CARDINAL
ejpam-5662	240	4	2025	CARDINAL
ejpam-5662	240	5	5662 11	DATE
ejpam-5662	240	6	36 ω1	CARDINAL
ejpam-5662	240	7	1	CARDINAL
ejpam-5662	240	8	ṽ	ORG
ejpam-5662	240	9	˙̃v	GPE
ejpam-5662	240	10	1 +	QUANTITY
ejpam-5662	240	11	2πωp ω1	CARDINAL
ejpam-5662	241	1	29	CARDINAL
ejpam-5662	241	2	2	CARDINAL
ejpam-5662	241	3	2π	CARDINAL
ejpam-5662	241	4	ṽ	ORG
ejpam-5662	241	5	˙̃v	GPE
ejpam-5662	241	6	2 + a6	QUANTITY
ejpam-5662	241	7	2πωp	CARDINAL
ejpam-5662	243	1	30	CARDINAL
ejpam-5662	244	1	2π	CARDINAL
ejpam-5662	244	2	ṽ	ORG
ejpam-5662	244	3	˙̃v	GPE
ejpam-5662	245	1	+ 3 4	DATE
ejpam-5662	245	2	2 1	DATE
ejpam-5662	245	3	31	CARDINAL
ejpam-5662	246	1	ṽ	ORG
ejpam-5662	246	2	˙̃v	GPE
ejpam-5662	247	1	+ 3 4	DATE
ejpam-5662	247	2	2 2	DATE
ejpam-5662	248	1	32	CARDINAL
ejpam-5662	250	1	33	CARDINAL
ejpam-5662	252	1	34	CARDINAL
ejpam-5662	252	2	eqs	ORG
ejpam-5662	253	1	33	CARDINAL
ejpam-5662	253	2	34	CARDINAL
ejpam-5662	253	3	eqs	ORG
ejpam-5662	254	1	28	CARDINAL
ejpam-5662	254	2	one	CARDINAL
ejpam-5662	254	3	1ũ(t	CARDINAL
ejpam-5662	255	1	0	CARDINAL
ejpam-5662	255	2	35	CARDINAL
ejpam-5662	255	3	2ṽ(t	CARDINAL
ejpam-5662	255	4	0	CARDINAL
ejpam-5662	255	5	36	CARDINAL
ejpam-5662	255	6	a. alanazy	PERSON
ejpam-5662	255	7	g. m. moatimid	PERSON
ejpam-5662	255	8	m. a. a. mohamed	PERSON
ejpam-5662	256	1	j. pure	PERSON
ejpam-5662	256	2	18	CARDINAL
ejpam-5662	256	3	2	CARDINAL
ejpam-5662	256	4	2025	CARDINAL
ejpam-5662	256	5	5662 12 of 36	DATE
ejpam-5662	256	6	1	CARDINAL
ejpam-5662	256	7	1	CARDINAL
ejpam-5662	256	8	37	CARDINAL
ejpam-5662	256	9	2	CARDINAL
ejpam-5662	256	10	2	CARDINAL
ejpam-5662	257	1	38	CARDINAL
ejpam-5662	258	1	two	CARDINAL
ejpam-5662	259	1	eqs	CARDINAL
ejpam-5662	260	1	18	CARDINAL
ejpam-5662	260	2	19	CARDINAL
ejpam-5662	260	3	linear	ORG
ejpam-5662	262	1	28	CARDINAL
ejpam-5662	263	1	two	CARDINAL
ejpam-5662	264	1	eqs	CARDINAL
ejpam-5662	265	1	18	CARDINAL
ejpam-5662	265	2	19	CARDINAL
ejpam-5662	265	3	eqs	ORG
ejpam-5662	266	1	28	CARDINAL
ejpam-5662	267	1	1	CARDINAL
ejpam-5662	267	2	2	CARDINAL
ejpam-5662	267	3	1	CARDINAL
ejpam-5662	267	4	2	CARDINAL
ejpam-5662	268	1	first	ORDINAL
ejpam-5662	271	1	two	CARDINAL
ejpam-5662	272	1	0.0064	CARDINAL
ejpam-5662	272	2	0.0021	CARDINAL
ejpam-5662	272	3	0.2	CARDINAL
ejpam-5662	272	4	0.5	CARDINAL
ejpam-5662	272	5	0.1	CARDINAL
ejpam-5662	272	6	0.3	CARDINAL
ejpam-5662	272	7	2	CARDINAL
ejpam-5662	272	8	1.5	CARDINAL
ejpam-5662	272	9	0.3	CARDINAL
ejpam-5662	272	10	0.3	CARDINAL
ejpam-5662	272	11	0.1	CARDINAL
ejpam-5662	272	12	0.2	CARDINAL
ejpam-5662	272	13	0.1	CARDINAL
ejpam-5662	272	14	0.2	CARDINAL
ejpam-5662	272	15	0.5	CARDINAL
ejpam-5662	272	16	0.2	CARDINAL
ejpam-5662	272	17	0.3	CARDINAL
ejpam-5662	272	18	0.05	CARDINAL
ejpam-5662	272	19	0.05	CARDINAL
ejpam-5662	273	1	1	CARDINAL
ejpam-5662	273	2	18	CARDINAL
ejpam-5662	273	3	19	CARDINAL
ejpam-5662	273	4	28	CARDINAL
ejpam-5662	274	1	a. alanazy	PERSON
ejpam-5662	274	2	g. m. moatimid	PERSON
ejpam-5662	274	3	m. a. a. mohamed	PERSON
ejpam-5662	275	1	j. pure	PERSON
ejpam-5662	275	2	18	CARDINAL
ejpam-5662	275	3	2	CARDINAL
ejpam-5662	275	4	2025	CARDINAL
ejpam-5662	275	5	5662 13	DATE
ejpam-5662	275	6	36	CARDINAL
ejpam-5662	275	7	1	CARDINAL
ejpam-5662	276	1	5	CARDINAL
ejpam-5662	277	1	0.00315881 10	CARDINAL
ejpam-5662	279	1	0.00200867 35	PERCENT
ejpam-5662	279	2	0.000886748	CARDINAL
ejpam-5662	279	3	45 -0.000237634 -0.000456704	QUANTITY
ejpam-5662	280	1	2	CARDINAL
ejpam-5662	280	2	18	CARDINAL
ejpam-5662	280	3	19	CARDINAL
ejpam-5662	280	4	28	CARDINAL
ejpam-5662	281	1	a. alanazy	PERSON
ejpam-5662	281	2	g. m. moatimid	PERSON
ejpam-5662	281	3	m. a. a. mohamed	PERSON
ejpam-5662	282	1	j. pure	PERSON
ejpam-5662	282	2	18	CARDINAL
ejpam-5662	282	3	2	CARDINAL
ejpam-5662	282	4	2025	CARDINAL
ejpam-5662	282	5	5662 14	DATE
ejpam-5662	282	6	36	CARDINAL
ejpam-5662	282	7	2	CARDINAL
ejpam-5662	284	1	5	CARDINAL
ejpam-5662	284	2	0.000453797 10 -0.00238827	MONEY
ejpam-5662	285	1	0.000849002 15	CARDINAL
ejpam-5662	286	1	3.12676 ∗	MONEY
ejpam-5662	286	2	35	MONEY
ejpam-5662	286	3	0.0000670557	CARDINAL
ejpam-5662	286	4	0.0000666456 50	MONEY
ejpam-5662	286	5	10−7	CARDINAL
ejpam-5662	286	6	eqs	CARDINAL
ejpam-5662	287	1	35	CARDINAL
ejpam-5662	287	2	36	CARDINAL
ejpam-5662	288	1	3-16	CARDINAL
ejpam-5662	289	1	firstly	ORDINAL
ejpam-5662	290	1	3-8	CARDINAL
ejpam-5662	291	1	one	CARDINAL
ejpam-5662	295	1	3	CARDINAL
ejpam-5662	295	2	two	CARDINAL
ejpam-5662	296	1	two	CARDINAL
ejpam-5662	303	1	4	CARDINAL
ejpam-5662	303	2	two	CARDINAL
ejpam-5662	305	1	4	CARDINAL
ejpam-5662	308	1	g. m. moatimid	PERSON
ejpam-5662	308	2	m. a. a. mohamed	PERSON
ejpam-5662	309	1	j. pure	PERSON
ejpam-5662	309	2	18	CARDINAL
ejpam-5662	309	3	2	CARDINAL
ejpam-5662	309	4	2025	CARDINAL
ejpam-5662	309	5	5662 15	DATE
ejpam-5662	309	6	linear	ORG
ejpam-5662	311	1	5	CARDINAL
ejpam-5662	311	2	mathieu eqs	PERSON
ejpam-5662	312	1	18	CARDINAL
ejpam-5662	312	2	19	CARDINAL
ejpam-5662	312	3	u(t	ORG
ejpam-5662	315	1	6	CARDINAL
ejpam-5662	315	2	mathieu eqs	PERSON
ejpam-5662	316	1	18	CARDINAL
ejpam-5662	316	2	19	CARDINAL
ejpam-5662	316	3	u(t	ORG
ejpam-5662	318	1	4	CARDINAL
ejpam-5662	322	1	18	CARDINAL
ejpam-5662	322	2	19	CARDINAL
ejpam-5662	323	1	two	CARDINAL
ejpam-5662	326	1	mdo	ORG
ejpam-5662	331	1	8	CARDINAL
ejpam-5662	331	2	two	CARDINAL
ejpam-5662	331	3	two	CARDINAL
ejpam-5662	331	4	u(t	ORG
ejpam-5662	334	1	mdo	ORG
ejpam-5662	342	1	g. m. moatimid	PERSON
ejpam-5662	342	2	m. a. a. mohamed	PERSON
ejpam-5662	343	1	j. pure	PERSON
ejpam-5662	343	2	18	CARDINAL
ejpam-5662	343	3	2	CARDINAL
ejpam-5662	343	4	2025	CARDINAL
ejpam-5662	343	5	5662 16	DATE
ejpam-5662	343	6	36	CARDINAL
ejpam-5662	346	1	3	CARDINAL
ejpam-5662	346	2	u(t	ORG
ejpam-5662	347	1	4	CARDINAL
ejpam-5662	347	2	u(t	ORG
ejpam-5662	348	1	5	CARDINAL
ejpam-5662	348	2	u(t	ORG
ejpam-5662	349	1	a. alanazy	PERSON
ejpam-5662	349	2	g. m. moatimid	PERSON
ejpam-5662	349	3	m. a. a. mohamed	PERSON
ejpam-5662	350	1	j. pure	PERSON
ejpam-5662	350	2	18	CARDINAL
ejpam-5662	350	3	2	CARDINAL
ejpam-5662	350	4	2025	CARDINAL
ejpam-5662	350	5	5662 17	DATE
ejpam-5662	350	6	36	CARDINAL
ejpam-5662	350	7	6	CARDINAL
ejpam-5662	350	8	u(t	ORG
ejpam-5662	351	1	7	CARDINAL
ejpam-5662	351	2	u(t	ORG
ejpam-5662	352	1	8	CARDINAL
ejpam-5662	353	1	a. alanazy	PERSON
ejpam-5662	353	2	g. m. moatimid	PERSON
ejpam-5662	353	3	m. a. a. mohamed	PERSON
ejpam-5662	354	1	j. pure	PERSON
ejpam-5662	354	2	18	CARDINAL
ejpam-5662	354	3	2	CARDINAL
ejpam-5662	354	4	2025	CARDINAL
ejpam-5662	354	5	5662 18	DATE
ejpam-5662	354	6	36 figs	QUANTITY
ejpam-5662	355	1	9	CARDINAL
ejpam-5662	356	1	27	CARDINAL
ejpam-5662	356	2	0	CARDINAL
ejpam-5662	356	3	u(t	ORG
ejpam-5662	357	1	27	CARDINAL
ejpam-5662	358	1	0.5	CARDINAL
ejpam-5662	358	2	one	CARDINAL
ejpam-5662	360	1	9	CARDINAL
ejpam-5662	360	2	10	CARDINAL
ejpam-5662	363	1	3	CARDINAL
ejpam-5662	367	1	11	CARDINAL
ejpam-5662	367	2	12	CARDINAL
ejpam-5662	367	3	u(t	ORG
ejpam-5662	368	1	27	CARDINAL
ejpam-5662	373	1	u(t	ORG
ejpam-5662	374	1	28	CARDINAL
ejpam-5662	375	1	13	CARDINAL
ejpam-5662	375	2	14	DATE
ejpam-5662	377	1	α1 and α2	CARDINAL
ejpam-5662	379	1	one	CARDINAL
ejpam-5662	381	1	15	CARDINAL
ejpam-5662	381	2	16	DATE
ejpam-5662	381	3	38	CARDINAL
ejpam-5662	385	1	a. alanazy	PERSON
ejpam-5662	385	2	g. m. moatimid	PERSON
ejpam-5662	385	3	m. a. a. mohamed	PERSON
ejpam-5662	386	1	j. pure	PERSON
ejpam-5662	386	2	18	CARDINAL
ejpam-5662	386	3	2	CARDINAL
ejpam-5662	386	4	2025	CARDINAL
ejpam-5662	386	5	5662 19	DATE
ejpam-5662	386	6	36	CARDINAL
ejpam-5662	386	7	9	CARDINAL
ejpam-5662	386	8	10	CARDINAL
ejpam-5662	387	1	11	CARDINAL
ejpam-5662	387	2	a. alanazy	PERSON
ejpam-5662	388	1	g. m. moatimid	PERSON
ejpam-5662	388	2	m. a. a. mohamed	PERSON
ejpam-5662	389	1	j. pure	PERSON
ejpam-5662	389	2	18	CARDINAL
ejpam-5662	389	3	2	CARDINAL
ejpam-5662	389	4	2025	CARDINAL
ejpam-5662	389	5	5662 20	CARDINAL
ejpam-5662	389	6	36	CARDINAL
ejpam-5662	389	7	12	CARDINAL
ejpam-5662	389	8	13	CARDINAL
ejpam-5662	390	1	14	CARDINAL
ejpam-5662	391	1	a. alanazy	PERSON
ejpam-5662	391	2	g. m. moatimid	PERSON
ejpam-5662	391	3	m. a. a. mohamed	PERSON
ejpam-5662	392	1	j. pure	PERSON
ejpam-5662	392	2	18	CARDINAL
ejpam-5662	392	3	2	CARDINAL
ejpam-5662	392	4	2025	CARDINAL
ejpam-5662	392	5	5662 21	DATE
ejpam-5662	392	6	36	CARDINAL
ejpam-5662	392	7	15	CARDINAL
ejpam-5662	393	1	16	CARDINAL
ejpam-5662	394	1	5	CARDINAL
ejpam-5662	395	1	un	ORG
ejpam-5662	395	2	mdo	ORG
ejpam-5662	395	3	eqs	CARDINAL
ejpam-5662	396	1	18	CARDINAL
ejpam-5662	396	2	19	CARDINAL
ejpam-5662	397	1	un	ORG
ejpam-5662	397	2	mdo	ORG
ejpam-5662	401	1	mdo	ORG
ejpam-5662	402	1	mdo	ORG
ejpam-5662	402	2	18	CARDINAL
ejpam-5662	402	3	19	CARDINAL
ejpam-5662	402	4	ẍ+	ORG
ejpam-5662	402	5	1x+	CARDINAL
ejpam-5662	402	6	3 +	DATE
ejpam-5662	402	7	5	CARDINAL
ejpam-5662	402	8	0	CARDINAL
ejpam-5662	402	9	39	CARDINAL
ejpam-5662	402	10	2y + γ2y	DATE
ejpam-5662	402	11	5	CARDINAL
ejpam-5662	402	12	0	CARDINAL
ejpam-5662	402	13	40	CARDINAL
ejpam-5662	402	14	a. alanazy	PERSON
ejpam-5662	402	15	g. m. moatimid	PERSON
ejpam-5662	402	16	m. a. a. mohamed	PERSON
ejpam-5662	403	1	j. pure	PERSON
ejpam-5662	403	2	18	CARDINAL
ejpam-5662	403	3	2	CARDINAL
ejpam-5662	403	4	2025	CARDINAL
ejpam-5662	403	5	5662 22	DATE
ejpam-5662	403	6	36	DATE
ejpam-5662	404	1	39	CARDINAL
ejpam-5662	404	2	40	CARDINAL
ejpam-5662	404	3	x(0	PERSON
ejpam-5662	405	1	0	CARDINAL
ejpam-5662	405	2	41	CARDINAL
ejpam-5662	405	3	eqs	CARDINAL
ejpam-5662	406	1	39	CARDINAL
ejpam-5662	406	2	40	CARDINAL
ejpam-5662	406	3	ẍ+ f1(x	PERSON
ejpam-5662	406	4	0	CARDINAL
ejpam-5662	406	5	42	CARDINAL
ejpam-5662	407	1	0	CARDINAL
ejpam-5662	407	2	43	CARDINAL
ejpam-5662	407	3	two	CARDINAL
ejpam-5662	407	4	eqs	CARDINAL
ejpam-5662	408	1	23	CARDINAL
ejpam-5662	408	2	25	CARDINAL
ejpam-5662	409	1	eqs	CARDINAL
ejpam-5662	410	1	21	CARDINAL
ejpam-5662	410	2	22	CARDINAL
ejpam-5662	411	1	cosω4	PERSON
ejpam-5662	411	2	44	DATE
ejpam-5662	412	1	w	ORG
ejpam-5662	413	1	3w	CARDINAL
ejpam-5662	413	2	0	CARDINAL
ejpam-5662	414	1	0	CARDINAL
ejpam-5662	415	1	45	CARDINAL
ejpam-5662	415	2	39	CARDINAL
ejpam-5662	415	3	40	CARDINAL
ejpam-5662	415	4	un	ORG
ejpam-5662	416	1	3	CARDINAL
ejpam-5662	416	2	2π	CARDINAL
ejpam-5662	418	1	¨̃w	PRODUCT
ejpam-5662	418	2	g̃	ORG
ejpam-5662	418	3	1 +	CARDINAL
ejpam-5662	418	4	2πωp ω3	MONEY
ejpam-5662	420	1	46	CARDINAL
ejpam-5662	420	2	4	CARDINAL
ejpam-5662	420	3	2π	CARDINAL
ejpam-5662	420	4	0	CARDINAL
ejpam-5662	421	1	¨̃w	PRODUCT
ejpam-5662	421	2	g̃	ORG
ejpam-5662	421	3	2 +	QUANTITY
ejpam-5662	421	4	2πωp ω4	CARDINAL
ejpam-5662	423	1	47	CARDINAL
ejpam-5662	423	2	appendix	NORP
ejpam-5662	425	1	two	CARDINAL
ejpam-5662	425	2	45	CARDINAL
ejpam-5662	426	1	eqs	ORG
ejpam-5662	427	1	39	CARDINAL
ejpam-5662	427	2	40	CARDINAL
ejpam-5662	428	1	a. alanazy	PERSON
ejpam-5662	428	2	g. m. moatimid	PERSON
ejpam-5662	428	3	m. a. a. mohamed	PERSON
ejpam-5662	429	1	j. pure	PERSON
ejpam-5662	429	2	18	CARDINAL
ejpam-5662	429	3	2	CARDINAL
ejpam-5662	429	4	2025	CARDINAL
ejpam-5662	429	5	5662 23	DATE
ejpam-5662	429	6	36	CARDINAL
ejpam-5662	429	7	45	CARDINAL
ejpam-5662	429	8	46	CARDINAL
ejpam-5662	429	9	47	CARDINAL
ejpam-5662	429	10	two	CARDINAL
ejpam-5662	430	1	two	CARDINAL
ejpam-5662	430	2	figs	PERSON
ejpam-5662	431	1	17	CARDINAL
ejpam-5662	431	2	18	DATE
ejpam-5662	431	3	3	CARDINAL
ejpam-5662	434	1	0.0108	CARDINAL
ejpam-5662	434	2	0.0135	CARDINAL
ejpam-5662	434	3	2	CARDINAL
ejpam-5662	434	4	1.5	CARDINAL
ejpam-5662	434	5	0.3	CARDINAL
ejpam-5662	434	6	0.3	CARDINAL
ejpam-5662	434	7	0.1	CARDINAL
ejpam-5662	434	8	0.2	CARDINAL
ejpam-5662	434	9	0.1	CARDINAL
ejpam-5662	434	10	0.2,ωp	CARDINAL
ejpam-5662	434	11	0.5	CARDINAL
ejpam-5662	434	12	0.2	CARDINAL
ejpam-5662	434	13	0.3	CARDINAL
ejpam-5662	434	14	0.05	CARDINAL
ejpam-5662	434	15	0.05	CARDINAL
ejpam-5662	434	16	17	CARDINAL
ejpam-5662	434	17	eqs	CARDINAL
ejpam-5662	435	1	39	CARDINAL
ejpam-5662	435	2	40	CARDINAL
ejpam-5662	435	3	45	CARDINAL
ejpam-5662	435	4	un	ORG
ejpam-5662	436	1	a. alanazy	PERSON
ejpam-5662	436	2	g. m. moatimid	PERSON
ejpam-5662	436	3	m. a. a. mohamed	PERSON
ejpam-5662	437	1	j. pure	PERSON
ejpam-5662	437	2	18	CARDINAL
ejpam-5662	437	3	2	CARDINAL
ejpam-5662	437	4	2025	CARDINAL
ejpam-5662	437	5	5662 24	DATE
ejpam-5662	437	6	36	CARDINAL
ejpam-5662	437	7	3	CARDINAL
ejpam-5662	437	8	un	ORG
ejpam-5662	438	1	5	CARDINAL
ejpam-5662	439	1	0.00147285	MONEY
ejpam-5662	439	2	1.22066	CARDINAL
ejpam-5662	439	3	10−6	CARDINAL
ejpam-5662	439	4	35	CARDINAL
ejpam-5662	439	5	40	CARDINAL
ejpam-5662	439	6	0.00688697 45	DATE
ejpam-5662	439	7	0.010149 50	MONEY
ejpam-5662	439	8	18	CARDINAL
ejpam-5662	439	9	eqs	CARDINAL
ejpam-5662	440	1	39	CARDINAL
ejpam-5662	440	2	40	CARDINAL
ejpam-5662	440	3	45	CARDINAL
ejpam-5662	440	4	un	ORG
ejpam-5662	441	1	4	CARDINAL
ejpam-5662	441	2	un	ORG
ejpam-5662	442	1	5	CARDINAL
ejpam-5662	442	2	10	CARDINAL
ejpam-5662	443	1	0.000367506 40	MONEY
ejpam-5662	444	1	a. alanazy	PERSON
ejpam-5662	444	2	g. m. moatimid	PERSON
ejpam-5662	444	3	m. a. a. mohamed	PERSON
ejpam-5662	445	1	j. pure	PERSON
ejpam-5662	445	2	18	CARDINAL
ejpam-5662	445	3	2	CARDINAL
ejpam-5662	445	4	2025	CARDINAL
ejpam-5662	445	5	5662 25	DATE
ejpam-5662	445	6	36	CARDINAL
ejpam-5662	445	7	un	ORG
ejpam-5662	445	8	39	CARDINAL
ejpam-5662	445	9	40	CARDINAL
ejpam-5662	446	1	19-30	CARDINAL
ejpam-5662	448	1	19	CARDINAL
ejpam-5662	448	2	w(t	PERSON
ejpam-5662	448	3	g(t	PERSON
ejpam-5662	452	1	fig	PERSON
ejpam-5662	453	1	19	CARDINAL
ejpam-5662	453	2	g(t	PERSON
ejpam-5662	454	1	two	CARDINAL
ejpam-5662	455	1	two	CARDINAL
ejpam-5662	462	1	20	CARDINAL
ejpam-5662	462	2	two	CARDINAL
ejpam-5662	464	1	4	CARDINAL
ejpam-5662	465	1	linear systems	ORG
ejpam-5662	467	1	linear	ORG
ejpam-5662	469	1	21	CARDINAL
ejpam-5662	469	2	22	DATE
ejpam-5662	469	3	mathieu eqs	PERSON
ejpam-5662	470	1	39	CARDINAL
ejpam-5662	470	2	40	CARDINAL
ejpam-5662	470	3	w(t	PERSON
ejpam-5662	470	4	g(t	PERSON
ejpam-5662	471	1	g(t	PERSON
ejpam-5662	476	1	eqs	CARDINAL
ejpam-5662	477	1	39	CARDINAL
ejpam-5662	477	2	40	CARDINAL
ejpam-5662	477	3	fig	ORG
ejpam-5662	478	1	23	CARDINAL
ejpam-5662	479	1	two	CARDINAL
ejpam-5662	480	1	g. m. moatimid	PERSON
ejpam-5662	480	2	m. a. a. mohamed	PERSON
ejpam-5662	481	1	j. pure	PERSON
ejpam-5662	481	2	18	CARDINAL
ejpam-5662	481	3	2	CARDINAL
ejpam-5662	481	4	2025	CARDINAL
ejpam-5662	481	5	5662 26	CARDINAL
ejpam-5662	481	6	36	CARDINAL
ejpam-5662	482	1	23	CARDINAL
ejpam-5662	483	1	mdo	ORG
ejpam-5662	489	1	24	CARDINAL
ejpam-5662	489	2	two	CARDINAL
ejpam-5662	489	3	un	ORG
ejpam-5662	489	4	two	CARDINAL
ejpam-5662	489	5	w(t	PERSON
ejpam-5662	489	6	g(t	PERSON
ejpam-5662	491	1	24	CARDINAL
ejpam-5662	492	1	mdo	ORG
ejpam-5662	502	1	a. alanazy	PERSON
ejpam-5662	502	2	g. m. moatimid	PERSON
ejpam-5662	502	3	m. a. a. mohamed	PERSON
ejpam-5662	503	1	j. pure	PERSON
ejpam-5662	503	2	18	CARDINAL
ejpam-5662	503	3	2	CARDINAL
ejpam-5662	503	4	2025	CARDINAL
ejpam-5662	503	5	5662 27	DATE
ejpam-5662	503	6	36	CARDINAL
ejpam-5662	503	7	19	CARDINAL
ejpam-5662	503	8	g(t	PERSON
ejpam-5662	504	1	20	CARDINAL
ejpam-5662	504	2	g(t	PERSON
ejpam-5662	505	1	21	CARDINAL
ejpam-5662	505	2	w(t	PERSON
ejpam-5662	505	3	g(t	PERSON
ejpam-5662	506	1	a. alanazy	PERSON
ejpam-5662	506	2	g. m. moatimid	PERSON
ejpam-5662	506	3	m. a. a. mohamed	PERSON
ejpam-5662	507	1	j. pure	PERSON
ejpam-5662	507	2	18	CARDINAL
ejpam-5662	507	3	2	CARDINAL
ejpam-5662	507	4	2025	CARDINAL
ejpam-5662	507	5	5662 28	DATE
ejpam-5662	507	6	36	CARDINAL
ejpam-5662	507	7	22	CARDINAL
ejpam-5662	507	8	w(t	PERSON
ejpam-5662	507	9	g(t	PERSON
ejpam-5662	508	1	23	CARDINAL
ejpam-5662	508	2	g(t	PERSON
ejpam-5662	509	1	24	CARDINAL
ejpam-5662	509	2	g(t	PERSON
ejpam-5662	511	1	25-30	CARDINAL
ejpam-5662	512	1	45	CARDINAL
ejpam-5662	512	2	w(t	PERSON
ejpam-5662	512	3	g(t	PERSON
ejpam-5662	513	1	45	CARDINAL
ejpam-5662	514	1	0.5	CARDINAL
ejpam-5662	514	2	one	CARDINAL
ejpam-5662	516	1	25	CARDINAL
ejpam-5662	516	2	26	CARDINAL
ejpam-5662	517	1	a. alanazy	PERSON
ejpam-5662	517	2	g. m. moatimid	PERSON
ejpam-5662	517	3	m. a. a. mohamed	PERSON
ejpam-5662	518	1	j. pure	PERSON
ejpam-5662	518	2	18	CARDINAL
ejpam-5662	518	3	2	CARDINAL
ejpam-5662	518	4	2025	CARDINAL
ejpam-5662	518	5	5662 29	DATE
ejpam-5662	518	6	36	CARDINAL
ejpam-5662	519	1	fig.	DATE
ejpam-5662	520	1	19	CARDINAL
ejpam-5662	524	1	w(t	PERSON
ejpam-5662	524	2	g(t	PERSON
ejpam-5662	524	3	eqs	ORG
ejpam-5662	525	1	45	CARDINAL
ejpam-5662	526	1	27	CARDINAL
ejpam-5662	526	2	28	CARDINAL
ejpam-5662	527	1	w(t	PERSON
ejpam-5662	527	2	g(t	PERSON
ejpam-5662	527	3	two	CARDINAL
ejpam-5662	528	1	w(t	PERSON
ejpam-5662	528	2	andg(t	PERSON
ejpam-5662	530	1	one	CARDINAL
ejpam-5662	531	1	38	CARDINAL
ejpam-5662	531	2	29	CARDINAL
ejpam-5662	531	3	30	DATE
ejpam-5662	535	1	a. alanazy	PERSON
ejpam-5662	535	2	g. m. moatimid	PERSON
ejpam-5662	535	3	m. a. a. mohamed	PERSON
ejpam-5662	536	1	j. pure	PERSON
ejpam-5662	536	2	18	CARDINAL
ejpam-5662	536	3	2	CARDINAL
ejpam-5662	536	4	2025	CARDINAL
ejpam-5662	536	5	5662 30	DATE
ejpam-5662	536	6	36	CARDINAL
ejpam-5662	536	7	25	CARDINAL
ejpam-5662	536	8	26	CARDINAL
ejpam-5662	536	9	g(t	NORP
ejpam-5662	537	1	27	CARDINAL
ejpam-5662	538	1	a. alanazy	PERSON
ejpam-5662	538	2	g. m. moatimid	PERSON
ejpam-5662	538	3	m. a. a. mohamed	PERSON
ejpam-5662	539	1	j. pure	PERSON
ejpam-5662	539	2	18	CARDINAL
ejpam-5662	539	3	2	CARDINAL
ejpam-5662	539	4	2025	CARDINAL
ejpam-5662	539	5	5662 31	DATE
ejpam-5662	539	6	36	CARDINAL
ejpam-5662	539	7	28	CARDINAL
ejpam-5662	539	8	g(t	NORP
ejpam-5662	540	1	29	CARDINAL
ejpam-5662	541	1	30	CARDINAL
ejpam-5662	541	2	g(t	NORP
ejpam-5662	542	1	6	CARDINAL
ejpam-5662	542	2	mdo	ORG
ejpam-5662	543	1	a. alanazy	PERSON
ejpam-5662	543	2	g. m. moatimid	PERSON
ejpam-5662	543	3	m. a. a. mohamed	PERSON
ejpam-5662	544	1	j. pure	PERSON
ejpam-5662	544	2	18	CARDINAL
ejpam-5662	544	3	2	CARDINAL
ejpam-5662	544	4	2025	CARDINAL
ejpam-5662	544	5	5662 32	DATE
ejpam-5662	544	6	36	CARDINAL
ejpam-5662	546	1	mdo	ORG
ejpam-5662	554	1	1	CARDINAL
ejpam-5662	556	1	2	CARDINAL
ejpam-5662	557	1	3	CARDINAL
ejpam-5662	558	1	4.	CARDINAL
ejpam-5662	559	1	5	CARDINAL
ejpam-5662	561	1	northern border university	ORG
ejpam-5662	561	2	ksa	GPE
ejpam-5662	561	3	asma	NORP
ejpam-5662	562	1	m. moatimid	PERSON
ejpam-5662	563	1	a. alanazy	PERSON
ejpam-5662	563	2	g. m. moatimid	PERSON
ejpam-5662	563	3	m. a. a. mohamed	PERSON
ejpam-5662	564	1	j. pure	PERSON
ejpam-5662	564	2	18	CARDINAL
ejpam-5662	564	3	2	CARDINAL
ejpam-5662	564	4	2025	CARDINAL
ejpam-5662	564	5	5662 33	DATE
ejpam-5662	564	6	36	CARDINAL
ejpam-5662	564	7	mona a. a. mohamed:	PERSON
ejpam-5662	569	1	1	CARDINAL
ejpam-5662	569	2	rhoads j.f.	PERSON
ejpam-5662	569	3	guo c.	PERSON
ejpam-5662	569	4	g.k.	GPE
ejpam-5662	572	1	wiley-vch verlag	PERSON
ejpam-5662	572	2	2015	CARDINAL
ejpam-5662	573	1	2	CARDINAL
ejpam-5662	573	2	cerullo g.	PERSON
ejpam-5662	573	3	de silvestri s.	PERSON
ejpam-5662	573	4	74(1	CARDINAL
ejpam-5662	573	5	1–18	CARDINAL
ejpam-5662	573	6	2003	DATE
ejpam-5662	574	1	3	CARDINAL
ejpam-5662	574	2	aumentado j.	PERSON
ejpam-5662	574	3	josephson parametric	ORG
ejpam-5662	574	4	ieee microwave	ORG
ejpam-5662	574	5	21(8	CARDINAL
ejpam-5662	574	6	2020	DATE
ejpam-5662	575	1	4	CARDINAL
ejpam-5662	575	2	sarajlic e.	PERSON
ejpam-5662	575	3	hong s.	GPE
ejpam-5662	575	4	chu s.	PERSON
ejpam-5662	575	5	95(17	CARDINAL
ejpam-5662	575	6	170404	DATE
ejpam-5662	575	7	2005	DATE
ejpam-5662	576	1	5	CARDINAL
ejpam-5662	576	2	rhoads j.f.	PERSON
ejpam-5662	576	3	shaw s.w.	PERSON
ejpam-5662	576	4	turner k.l.	PERSON
ejpam-5662	576	5	132(3	CARDINAL
ejpam-5662	576	6	1–14	CARDINAL
ejpam-5662	576	7	2010	DATE
ejpam-5662	577	1	6	CARDINAL
ejpam-5662	577	2	kovacic i.	PERSON
ejpam-5662	577	3	rand r.	PERSON
ejpam-5662	577	4	sah s.m.	PERSON
ejpam-5662	577	5	mathieu	PERSON
ejpam-5662	577	6	020802	DATE
ejpam-5662	577	7	2018	DATE
ejpam-5662	578	1	7	CARDINAL
ejpam-5662	578	2	nayfeh a.h.	ORG
ejpam-5662	578	3	mook d.t.	PERSON
ejpam-5662	578	4	wiley & sons	ORG
ejpam-5662	578	5	new york	GPE
ejpam-5662	578	6	1979	DATE
ejpam-5662	579	1	8	CARDINAL
ejpam-5662	579	2	mclachlan n.w.	PERSON
ejpam-5662	579	3	clarendon press	ORG
ejpam-5662	579	4	oxford	NORP
ejpam-5662	579	5	uk	GPE
ejpam-5662	579	6	1947	DATE
ejpam-5662	580	1	9	CARDINAL
ejpam-5662	580	2	mathieu	PERSON
ejpam-5662	580	3	9(2	CARDINAL
ejpam-5662	580	4	49-54	PERCENT
ejpam-5662	580	5	2021	CARDINAL
ejpam-5662	581	1	10	CARDINAL
ejpam-5662	581	2	kovacic i.	PERSON
ejpam-5662	581	3	rand r.	PERSON
ejpam-5662	581	4	sah s.m.	PERSON
ejpam-5662	581	5	mathieu	PERSON
ejpam-5662	581	6	70, 020802	DATE
ejpam-5662	581	7	22	CARDINAL
ejpam-5662	581	8	2018	DATE
ejpam-5662	582	1	11	CARDINAL
ejpam-5662	582	2	ramani d.v.	PERSON
ejpam-5662	582	3	keith wl	PERSON
ejpam-5662	582	4	rand r.h.. perturbation solution	ORG
ejpam-5662	582	5	non-linear	ORG
ejpam-5662	582	6	39	CARDINAL
ejpam-5662	582	7	3	CARDINAL
ejpam-5662	582	8	491-502	CARDINAL
ejpam-5662	582	9	2004	DATE
ejpam-5662	583	1	12	CARDINAL
ejpam-5662	583	2	nayfeh a.h.	ORG
ejpam-5662	583	3	new york	GPE
ejpam-5662	583	4	wiley & sons	ORG
ejpam-5662	583	5	1981	DATE
ejpam-5662	584	1	13	CARDINAL
ejpam-5662	584	2	nayfeh a.h.	ORG
ejpam-5662	584	3	zavodney l.d.	PERSON
ejpam-5662	584	4	two-degree-of	QUANTITY
ejpam-5662	584	5	107(2	DATE
ejpam-5662	584	6	329–350	CARDINAL
ejpam-5662	584	7	1986	DATE
ejpam-5662	585	1	14	CARDINAL
ejpam-5662	585	2	nayfeh a.h.	ORG
ejpam-5662	585	3	chin c.	PERSON
ejpam-5662	585	4	d.t.	GPE
ejpam-5662	585	5	two	CARDINAL
ejpam-5662	586	1	g. m. moatimid	PERSON
ejpam-5662	586	2	m. a. a. mohamed	PERSON
ejpam-5662	587	1	j. pure	PERSON
ejpam-5662	587	2	18	CARDINAL
ejpam-5662	587	3	2	CARDINAL
ejpam-5662	587	4	2025	CARDINAL
ejpam-5662	587	5	5662 34	DATE
ejpam-5662	587	6	36	CARDINAL
ejpam-5662	587	7	2(1	CARDINAL
ejpam-5662	587	8	43–57	CARDINAL
ejpam-5662	587	9	1995	DATE
ejpam-5662	588	1	15	CARDINAL
ejpam-5662	588	2	sinha s.c.	PERSON
ejpam-5662	588	3	wu d.h.	PERSON
ejpam-5662	588	4	151(1	CARDINAL
ejpam-5662	588	5	91–117	CARDINAL
ejpam-5662	588	6	1991	DATE
ejpam-5662	589	1	16	CARDINAL
ejpam-5662	589	2	dohnal f.	PERSON
ejpam-5662	589	3	226(8	DATE
ejpam-5662	589	4	2015–2027	CARDINAL
ejpam-5662	589	5	2012	DATE
ejpam-5662	590	1	17	CARDINAL
ejpam-5662	590	2	ph.d	ORG
ejpam-5662	591	1	university of southampton	ORG
ejpam-5662	591	2	2016	CARDINAL
ejpam-5662	592	1	18	CARDINAL
ejpam-5662	592	2	ji w.m.	ORG
ejpam-5662	592	3	wang h.	PERSON
ejpam-5662	592	4	liu m.	PERSON
ejpam-5662	592	5	19	CARDINAL
ejpam-5662	592	6	336–359	CARDINAL
ejpam-5662	592	7	2021	CARDINAL
ejpam-5662	593	1	19	CARDINAL
ejpam-5662	593	2	178	CARDINAL
ejpam-5662	593	3	257–262	CARDINAL
ejpam-5662	593	4	1999	DATE
ejpam-5662	594	1	20	CARDINAL
ejpam-5662	594	2	moatimid g.m.	PERSON
ejpam-5662	594	3	amer t.s	PERSON
ejpam-5662	594	4	11	CARDINAL
ejpam-5662	594	5	2155–2165	CARDINAL
ejpam-5662	594	6	2023	CARDINAL
ejpam-5662	595	1	21	CARDINAL
ejpam-5662	595	2	ghaleb a.f.	PERSON
ejpam-5662	595	3	abou-dina m.s.	ORG
ejpam-5662	595	4	moatimid g.m.	PERSON
ejpam-5662	595	5	zekry m.h.	PERSON
ejpam-5662	595	6	duffing van der pol	PERSON
ejpam-5662	595	7	two	CARDINAL
ejpam-5662	595	8	180	CARDINAL
ejpam-5662	595	9	129	CARDINAL
ejpam-5662	595	10	2021	CARDINAL
ejpam-5662	596	1	22	CARDINAL
ejpam-5662	596	2	moatimid g.m.	PERSON
ejpam-5662	596	3	el-dib y.o.	ORG
ejpam-5662	596	4	zekry m.h.	PERSON
ejpam-5662	596	5	chinese	NORP
ejpam-5662	596	6	2507-2522	DATE
ejpam-5662	596	7	2018	DATE
ejpam-5662	597	1	23	CARDINAL
ejpam-5662	597	2	moatimid g.m.	PERSON
ejpam-5662	597	3	kuwait journal of science	ORG
ejpam-5662	597	4	47(2	CARDINAL
ejpam-5662	597	5	6-21	CARDINAL
ejpam-5662	597	6	2020	DATE
ejpam-5662	598	1	24	CARDINAL
ejpam-5662	598	2	moatimid g.m.	PERSON
ejpam-5662	598	3	amer t.s.	PERSON
ejpam-5662	598	4	12(1	CARDINAL
ejpam-5662	598	5	12628	DATE
ejpam-5662	598	6	2022	CARDINAL
ejpam-5662	599	1	25	CARDINAL
ejpam-5662	599	2	zhang j-g.	PERSON
ejpam-5662	599	3	zhang j-q.	PERSON
ejpam-5662	599	4	wang f., application	PERSON
ejpam-5662	599	5	21(4	DATE
ejpam-5662	599	6	701	CARDINAL
ejpam-5662	599	7	2023	CARDINAL
ejpam-5662	600	1	26	CARDINAL
ejpam-5662	600	2	ma h.	PERSON
ejpam-5662	600	3	41(4	CARDINAL
ejpam-5662	600	4	1380–1385	CARDINAL
ejpam-5662	600	5	2022	CARDINAL
ejpam-5662	601	1	27	CARDINAL
ejpam-5662	601	2	ma h.	PERSON
ejpam-5662	601	3	20(2	CARDINAL
ejpam-5662	601	4	445-455	CARDINAL
ejpam-5662	601	5	2022	CARDINAL
ejpam-5662	602	1	28	CARDINAL
ejpam-5662	602	2	j-h.	PERSON
ejpam-5662	602	3	15	CARDINAL
ejpam-5662	602	4	102546	DATE
ejpam-5662	602	5	2019	DATE
ejpam-5662	603	1	29	CARDINAL
ejpam-5662	603	2	liu c.	PERSON
ejpam-5662	603	3	30	CARDINAL
ejpam-5662	603	4	03	CARDINAL
ejpam-5662	603	5	2250046	DATE
ejpam-5662	603	6	2022	CARDINAL
ejpam-5662	604	1	30	CARDINAL
ejpam-5662	604	2	niu	ORG
ejpam-5662	604	3	feng g-q.	PERSON
ejpam-5662	604	4	gepreel k.a.	PERSON
ejpam-5662	604	5	11	CARDINAL
ejpam-5662	604	6	1158121	DATE
ejpam-5662	604	7	2023	CARDINAL
ejpam-5662	605	1	a. alanazy	PERSON
ejpam-5662	605	2	g. m. moatimid	PERSON
ejpam-5662	605	3	m. a. a. mohamed	PERSON
ejpam-5662	606	1	j. pure	PERSON
ejpam-5662	606	2	18	CARDINAL
ejpam-5662	606	3	2	CARDINAL
ejpam-5662	606	4	2025	CARDINAL
ejpam-5662	606	5	5662 35	DATE
ejpam-5662	606	6	36	CARDINAL
ejpam-5662	606	7	31	CARDINAL
ejpam-5662	606	8	moatimid g.m.	PERSON
ejpam-5662	606	9	amer t.s.	PERSON
ejpam-5662	606	10	13	CARDINAL
ejpam-5662	606	11	11942	DATE
ejpam-5662	606	12	2023	CARDINAL
ejpam-5662	607	1	32	CARDINAL
ejpam-5662	607	2	moatimid g.m.	PERSON
ejpam-5662	607	3	amer t.s.	PERSON
ejpam-5662	607	4	ellabban y.y.	GPE
ejpam-5662	607	5	525-542	CARDINAL
ejpam-5662	607	6	2024	CARDINAL
ejpam-5662	608	1	33	CARDINAL
ejpam-5662	608	2	moatimid g.m.	PERSON
ejpam-5662	608	3	amer t.s.	PERSON
ejpam-5662	608	4	a.a.	GPE
ejpam-5662	608	5	13	CARDINAL
ejpam-5662	608	6	20288	DATE
ejpam-5662	608	7	2023	CARDINAL
ejpam-5662	609	1	34	CARDINAL
ejpam-5662	609	2	moatimid g.m.	PERSON
ejpam-5662	609	3	mohamed m. a.a.	PERSON
ejpam-5662	609	4	elagamy kh	PERSON
ejpam-5662	609	5	nonlinear kelvin-helmholtz	PERSON
ejpam-5662	609	6	two	CARDINAL
ejpam-5662	609	7	chinese journal of physics	ORG
ejpam-5662	609	8	85	DATE
ejpam-5662	609	9	629	CARDINAL
ejpam-5662	609	10	2023	CARDINAL
ejpam-5662	610	1	35	CARDINAL
ejpam-5662	610	2	moatimid g.m.	PERSON
ejpam-5662	610	3	sayed a.	PERSON
ejpam-5662	610	4	two	CARDINAL
ejpam-5662	610	5	chinese journal of physics	ORG
ejpam-5662	610	6	87	DATE
ejpam-5662	610	7	379–397	CARDINAL
ejpam-5662	610	8	2024	CARDINAL
ejpam-5662	611	1	36	CARDINAL
ejpam-5662	611	2	moatimid g.m.	PERSON
ejpam-5662	611	3	el-sayed a.t.	ORG
ejpam-5662	611	4	salman h.f.	PERSON
ejpam-5662	611	5	14	CARDINAL
ejpam-5662	611	6	307	CARDINAL
ejpam-5662	611	7	2024	CARDINAL
ejpam-5662	612	1	37	CARDINAL
ejpam-5662	612	2	moatimid g.m.	PERSON
ejpam-5662	612	3	m. mohamed y.m.	PERSON
ejpam-5662	612	4	two	CARDINAL
ejpam-5662	612	5	chinese	NORP
ejpam-5662	612	6	89	CARDINAL
ejpam-5662	612	7	679-706	QUANTITY
ejpam-5662	612	8	2024	CARDINAL
ejpam-5662	613	1	38	CARDINAL
ejpam-5662	613	2	moatimid g.m.	PERSON
ejpam-5662	613	3	m. mohamed y.m.	PERSON
ejpam-5662	613	4	two	CARDINAL
ejpam-5662	613	5	36	DATE
ejpam-5662	613	6	024110	DATE
ejpam-5662	613	7	2024	CARDINAL
ejpam-5662	614	1	39	CARDINAL
ejpam-5662	614	2	moatimid g.m.	PERSON
ejpam-5662	614	3	mostafa d.m.	PERSON
ejpam-5662	614	4	zekry m.h.	PERSON
ejpam-5662	614	5	two	CARDINAL
ejpam-5662	614	6	chinese	NORP
ejpam-5662	614	7	90	CARDINAL
ejpam-5662	614	8	134–154	CARDINAL
ejpam-5662	614	9	2024	CARDINAL
ejpam-5662	615	1	40	CARDINAL
ejpam-5662	615	2	moatimid g.m.	PERSON
ejpam-5662	615	3	mostafa d.m.	PERSON
ejpam-5662	615	4	two	CARDINAL
ejpam-5662	615	5	rivlin	PERSON
ejpam-5662	615	6	10, 100745	DATE
ejpam-5662	615	7	2024	CARDINAL
ejpam-5662	616	1	41	CARDINAL
ejpam-5662	616	2	moatimid g.m.	PERSON
ejpam-5662	616	3	mohamed m. a.a.	PERSON
ejpam-5662	616	4	elagamy kh	PERSON
ejpam-5662	616	5	two	CARDINAL
ejpam-5662	616	6	the european physical journal plus,	ORG
ejpam-5662	616	7	139	CARDINAL
ejpam-5662	616	8	590	CARDINAL
ejpam-5662	616	9	2024	CARDINAL
ejpam-5662	617	1	42	CARDINAL
ejpam-5662	617	2	ismail g.m.	PERSON
ejpam-5662	617	3	moatimid g.m.	PERSON
ejpam-5662	617	4	yamani m.i.	PERSON
ejpam-5662	617	5	european journal	ORG
ejpam-5662	617	6	17(3	CARDINAL
ejpam-5662	617	7	2154-2171	CARDINAL
ejpam-5662	617	8	2024	DATE
ejpam-5662	618	1	43	CARDINAL
ejpam-5662	619	1	moatimid g.m.	PERSON
ejpam-5662	619	2	amer t.s.	PERSON
ejpam-5662	619	3	european journal	ORG
ejpam-5662	619	4	17(4	CARDINAL
ejpam-5662	619	5	3185-3208	CARDINAL
ejpam-5662	619	6	2024	CARDINAL
ejpam-5662	620	1	44	CARDINAL
ejpam-5662	620	2	alluhydan kh	PERSON
ejpam-5662	620	3	moatimid g.m.	PERSON
ejpam-5662	620	4	amer t.s.	PERSON
ejpam-5662	620	5	a.a.	GPE
ejpam-5662	620	6	european journal	ORG
ejpam-5662	620	7	17(4	CARDINAL
ejpam-5662	620	8	2878-2895	CARDINAL
ejpam-5662	620	9	2024	CARDINAL
ejpam-5662	621	1	45	CARDINAL
ejpam-5662	621	2	barakat a.a.	PERSON
ejpam-5662	621	3	weig e.m.	GPE
ejpam-5662	621	4	two-degree-of-freedom mathieu	QUANTITY
ejpam-5662	621	5	111	CARDINAL
ejpam-5662	621	6	a. alanazy	PERSON
ejpam-5662	621	7	g. m. moatimid	PERSON
ejpam-5662	621	8	m. a. a. mohamed	PERSON
ejpam-5662	622	1	j. pure	PERSON
ejpam-5662	622	2	18	CARDINAL
ejpam-5662	622	3	2	CARDINAL
ejpam-5662	622	4	2025	CARDINAL
ejpam-5662	622	5	5662 36	DATE
ejpam-5662	622	6	2023	CARDINAL
ejpam-5662	623	1	46	CARDINAL
ejpam-5662	623	2	moatimid g.m.	PERSON
ejpam-5662	623	3	mohamed m.a.a	PERSON
ejpam-5662	623	4	elagamy kh	PERSON
ejpam-5662	623	5	23 july	DATE
ejpam-5662	623	6	2024	CARDINAL
ejpam-5662	624	1	eqs	ORG
ejpam-5662	625	1	29	CARDINAL
ejpam-5662	625	2	28	CARDINAL
ejpam-5662	625	3	3 4	DATE
ejpam-5662	626	1	1 +	CARDINAL
ejpam-5662	627	1	2πa	ORDINAL
ejpam-5662	627	2	1	CARDINAL
ejpam-5662	627	3	2 + 2ω2ωp	QUANTITY
ejpam-5662	627	4	bη12ω1 2πa	ORG
ejpam-5662	627	5	2	CARDINAL
ejpam-5662	627	6	3 4	DATE
ejpam-5662	627	7	2a6	CARDINAL
ejpam-5662	627	8	2	CARDINAL
ejpam-5662	628	1	2πb	ORDINAL
ejpam-5662	628	2	1−ω2 2−2ω1ωp+ω2	CARDINAL
ejpam-5662	628	3	2πb	ORDINAL
ejpam-5662	628	4	1−ω2	CARDINAL
ejpam-5662	629	1	eqs	ORG
ejpam-5662	630	1	46	CARDINAL
ejpam-5662	630	2	47	CARDINAL
ejpam-5662	630	3	3 4	CARDINAL
ejpam-5662	630	4	3 +	CARDINAL
ejpam-5662	632	1	2πc	ORDINAL
ejpam-5662	632	2	3	CARDINAL
ejpam-5662	632	3	4 + 2ω4ωp	CARDINAL
ejpam-5662	633	1	2πc	ORDINAL
ejpam-5662	633	2	4	CARDINAL
ejpam-5662	633	3	3 + 2ω4ωp +	CARDINAL
ejpam-5662	633	4	3 4	DATE
ejpam-5662	633	5	8	CARDINAL
ejpam-5662	633	6	2b6	CARDINAL
ejpam-5662	633	7	4 +	DATE
ejpam-5662	633	8	4ωp	ORDINAL
ejpam-5662	634	1	2πd	ORDINAL
ejpam-5662	635	1	3−ω2 4−2ω3ωp+ω2	CARDINAL
ejpam-5662	635	2	b8	NORP
ejpam-5662	635	3	2πd	ORDINAL
ejpam-5662	635	4	3−ω2	CARDINAL