id	sid	eid	entity	type
ap-4605	1	1	acta polytechnica doi:10.14311	PERSON
ap-4605	1	2	57(6):373–378	CARDINAL
ap-4605	1	3	2017	DATE
ap-4605	1	4	czech technical university	ORG
ap-4605	1	5	prague	GPE
ap-4605	1	6	2017	CARDINAL
ap-4605	1	7	http://ojs.cvut.cz/ojs/index.php/ap	PRODUCT
ap-4605	1	8	algebras	ORG
ap-4605	1	9	noether	ORG
ap-4605	1	10	instituto de matemática interdisciplinar-ucm	ORG
ap-4605	1	11	spain	GPE
ap-4605	2	1	rutwig@ucm.es	PERSON
ap-4605	3	1	lagrangian systems	ORG
ap-4605	4	1	lagrangians	NORP
ap-4605	6	1	1	CARDINAL
ap-4605	6	2	e. noether	PERSON
ap-4605	7	1	1	CARDINAL
ap-4605	7	2	2	CARDINAL
ap-4605	7	3	3	CARDINAL
ap-4605	8	1	4	CARDINAL
ap-4605	10	1	algebras	ORG
ap-4605	11	1	5	CARDINAL
ap-4605	12	1	5	CARDINAL
ap-4605	12	2	6	CARDINAL
ap-4605	13	1	two	CARDINAL
ap-4605	15	1	2	CARDINAL
ap-4605	16	1	0	CARDINAL
ap-4605	16	2	1 ≤	QUANTITY
ap-4605	17	1	q̇j	ORG
ap-4605	18	1	∂qj −	PERSON
ap-4605	20	1	∂q̇j∂qk	TIME
ap-4605	20	2	2	CARDINAL
ap-4605	20	3	1 ≤ i ≤ n	QUANTITY
ap-4605	20	4	2	CARDINAL
ap-4605	20	5	first	ORDINAL
ap-4605	20	6	+ q̇i	PERSON
ap-4605	21	1	0	CARDINAL
ap-4605	22	1	3	CARDINAL
ap-4605	22	2	∂∂t +	LOC
ap-4605	22	3	∂qj ∈	PERSON
ap-4605	22	4	2	CARDINAL
ap-4605	22	5	first	ORDINAL
ap-4605	24	1	η̇j	ORG
ap-4605	24	2	q̇j	ORG
ap-4605	25	1	4	CARDINAL
ap-4605	25	2	lps	ORG
ap-4605	25	3	+ 2,r	DATE
ap-4605	25	4	0	CARDINAL
ap-4605	26	1	7	CARDINAL
ap-4605	26	2	8	CARDINAL
ap-4605	27	1	2	CARDINAL
ap-4605	28	1	+ q̇i	PERSON
ap-4605	30	1	0	CARDINAL
ap-4605	31	1	5	CARDINAL
ap-4605	31	2	373	CARDINAL
ap-4605	34	1	∂qj	PERSON
ap-4605	34	2	6	CARDINAL
ap-4605	34	3	2	CARDINAL
ap-4605	35	1	0	CARDINAL
ap-4605	35	2	7	CARDINAL
ap-4605	36	1	7	CARDINAL
ap-4605	38	1	∂qj + η̇j	PERSON
ap-4605	40	1	q̇j	ORG
ap-4605	40	2	∂qj	ORG
ap-4605	40	3	0	CARDINAL
ap-4605	41	1	first	ORDINAL
ap-4605	41	2	1	CARDINAL
ap-4605	41	3	6	CARDINAL
ap-4605	44	1	ẋ	PRODUCT
ap-4605	45	1	0	CARDINAL
ap-4605	46	1	2.1	CARDINAL
ap-4605	46	2	l+	ORG
ap-4605	46	3	xj	ORG
ap-4605	46	4	1 ≤ j ≤ r0	QUANTITY
ap-4605	46	5	1	CARDINAL
ap-4605	46	6	l̂	GPE
ap-4605	52	1	0	CARDINAL
ap-4605	52	2	9	CARDINAL
ap-4605	52	3	1 ≤ k ≤ r0	QUANTITY
ap-4605	52	4	ẋk	PERSON
ap-4605	53	1	ẋk	PERSON
ap-4605	53	2	0	CARDINAL
ap-4605	54	1	10	CARDINAL
ap-4605	54	2	10	CARDINAL
ap-4605	54	3	ẋk	ORG
ap-4605	58	1	0	CARDINAL
ap-4605	58	2	11	CARDINAL
ap-4605	58	3	1 ≤ k ≤ r0	QUANTITY
ap-4605	59	1	∂ξk ∂qj	PERSON
ap-4605	59	2	1 ≤ j ≤ n.	QUANTITY
ap-4605	59	3	subalgebras l0	ORG
ap-4605	60	1	second	ORDINAL
ap-4605	61	1	7	CARDINAL
ap-4605	61	2	8	CARDINAL
ap-4605	62	1	3	CARDINAL
ap-4605	62	2	9–11	CARDINAL
ap-4605	63	1	12	CARDINAL
ap-4605	66	1	1 2aij(q)q̇iq̇j	CARDINAL
ap-4605	66	2	12	CARDINAL
ap-4605	67	1	1	CARDINAL
ap-4605	68	1	∂∂t +	LOC
ap-4605	68	2	∂qj	PERSON
ap-4605	68	3	12	CARDINAL
ap-4605	69	1	2 + c2t+ c3	QUANTITY
ap-4605	69	2	ηj(t	GPE
ap-4605	70	1	13	CARDINAL
ap-4605	72	1	7	CARDINAL
ap-4605	75	1	+ 1 2	DATE
ap-4605	76	1	+ 1 2	DATE
ap-4605	77	1	374	CARDINAL
ap-4605	78	1	57	CARDINAL
ap-4605	79	1	6/2017	CARDINAL
ap-4605	83	1	∂η1	ORG
ap-4605	83	2	a11(q)− ∂v	PERSON
ap-4605	83	3	0	CARDINAL
ap-4605	83	4	∂η1	ORG
ap-4605	84	1	a22(q)− ∂v ∂q2	PERSON
ap-4605	84	2	0	CARDINAL
ap-4605	85	1	14	CARDINAL
ap-4605	85	2	first	ORDINAL
ap-4605	85	3	second	ORDINAL
ap-4605	85	4	∂η2	ORG
ap-4605	85	5	12	CARDINAL
ap-4605	86	1	0	CARDINAL
ap-4605	86	2	15	CARDINAL
ap-4605	88	1	7	CARDINAL
ap-4605	89	1	0	CARDINAL
ap-4605	89	2	16	CARDINAL
ap-4605	91	1	f(q	GPE
ap-4605	91	2	g(q	PERSON
ap-4605	92	1	1 2 d	QUANTITY
ap-4605	94	1	+ 1 2f(q	DATE
ap-4605	94	2	17	CARDINAL
ap-4605	95	1	1 2 d2 dt2	QUANTITY
ap-4605	96	1	8	CARDINAL
ap-4605	96	2	12	CARDINAL
ap-4605	98	1	x3	PERSON
ap-4605	99	1	7	CARDINAL
ap-4605	99	2	x3	PERSON
ap-4605	100	1	0	CARDINAL
ap-4605	100	2	first	ORDINAL
ap-4605	102	1	0	CARDINAL
ap-4605	103	1	f(q)g(q	ORG
ap-4605	105	1	0	CARDINAL
ap-4605	106	1	1	CARDINAL
ap-4605	108	1	0	CARDINAL
ap-4605	109	1	0	CARDINAL
ap-4605	109	2	f(q)∂a12	CARDINAL
ap-4605	110	1	2	CARDINAL
ap-4605	114	1	0	CARDINAL
ap-4605	115	1	two	CARDINAL
ap-4605	115	2	12	CARDINAL
ap-4605	115	3	f(q	GPE
ap-4605	115	4	g(q	PERSON
ap-4605	115	5	17	CARDINAL
ap-4605	115	6	noether symmetries	ORG
ap-4605	115	7	12	CARDINAL
ap-4605	117	1	two	CARDINAL
ap-4605	118	1	3.1	CARDINAL
ap-4605	119	1	lagrangians	NORP
ap-4605	119	2	first	ORDINAL
ap-4605	119	3	lagrangians	NORP
ap-4605	119	4	1 2	CARDINAL
ap-4605	119	5	2 2	DATE
ap-4605	119	6	k, l 6= −2	ORG
ap-4605	120	1	4	CARDINAL
ap-4605	121	1	f(q	GPE
ap-4605	121	2	g(q	PERSON
ap-4605	124	1	0	CARDINAL
ap-4605	124	2	ql2g(q)−	GPE
ap-4605	124	3	0	CARDINAL
ap-4605	126	1	0	CARDINAL
ap-4605	126	2	ql1f(q)− ∂v	PERSON
ap-4605	126	3	0	CARDINAL
ap-4605	127	1	first	ORDINAL
ap-4605	128	1	13	CARDINAL
ap-4605	128	2	f(q	GPE
ap-4605	130	1	2q1	CARDINAL
ap-4605	131	1	1	CARDINAL
ap-4605	131	2	g(q	PERSON
ap-4605	131	3	2q2	CARDINAL
ap-4605	132	1	2	CARDINAL
ap-4605	132	2	2	CARDINAL
ap-4605	132	3	1	CARDINAL
ap-4605	133	1	2 l + 2 375	DATE
ap-4605	134	1	five	CARDINAL
ap-4605	134	2	zero	CARDINAL
ap-4605	135	1	11	CARDINAL
ap-4605	136	1	u(t	ORG
ap-4605	136	2	∂u	NORP
ap-4605	136	3	0	CARDINAL
ap-4605	137	1	first	ORDINAL
ap-4605	137	2	11	CARDINAL
ap-4605	137	3	f(q	GPE
ap-4605	137	4	∂q2 + 2u(q	DATE
ap-4605	137	5	0	CARDINAL
ap-4605	137	6	18	CARDINAL
ap-4605	139	1	1	CARDINAL
ap-4605	139	2	2	CARDINAL
ap-4605	139	3	19	CARDINAL
ap-4605	139	4	22l2/(2l+4)2	CARDINAL
ap-4605	139	5	1+l)/2	CARDINAL
ap-4605	140	1	4q(k+1)/2 1	DATE
ap-4605	142	1	20	CARDINAL
ap-4605	142	2	noether	ORG
ap-4605	143	1	k, l) 6= (k′	ORG
ap-4605	143	2	f(q	GPE
ap-4605	143	3	g(q	PERSON
ap-4605	144	1	3.2	CARDINAL
ap-4605	144	2	second	ORDINAL
ap-4605	144	3	f(q	GPE
ap-4605	144	4	g(q	PERSON
ap-4605	144	5	17	CARDINAL
ap-4605	145	1	f(q	GPE
ap-4605	146	1	g(q	PERSON
ap-4605	147	1	2	CARDINAL
ap-4605	148	1	0	CARDINAL
ap-4605	148	2	qn1a11	ORG
ap-4605	148	3	0	CARDINAL
ap-4605	148	4	0	CARDINAL
ap-4605	148	5	11	CARDINAL
ap-4605	148	6	12	CARDINAL
ap-4605	148	7	22	CARDINAL
ap-4605	149	1	6=	CARDINAL
ap-4605	149	2	0	CARDINAL
ap-4605	149	3	1	CARDINAL
ap-4605	151	1	0	CARDINAL
ap-4605	154	1	1 +	DATE
ap-4605	154	2	2	CARDINAL
ap-4605	154	3	1	CARDINAL
ap-4605	154	4	1 +	DATE
ap-4605	154	5	2	CARDINAL
ap-4605	154	6	1	CARDINAL
ap-4605	156	1	1	CARDINAL
ap-4605	158	1	0	CARDINAL
ap-4605	158	2	21	CARDINAL
ap-4605	159	1	2q1−n 1	CARDINAL
ap-4605	159	2	1	CARDINAL
ap-4605	159	3	1 +	DATE
ap-4605	159	4	2	CARDINAL
ap-4605	160	1	22	CARDINAL
ap-4605	160	2	11	CARDINAL
ap-4605	161	1	2q1−n 1	CARDINAL
ap-4605	161	2	1	CARDINAL
ap-4605	161	3	1 +	DATE
ap-4605	161	4	2	CARDINAL
ap-4605	161	5	−2q1−n	NORP
ap-4605	161	6	1	CARDINAL
ap-4605	161	7	1	CARDINAL
ap-4605	161	8	2	CARDINAL
ap-4605	161	9	23	CARDINAL
ap-4605	162	1	4.	CARDINAL
ap-4605	162	2	1	CARDINAL
ap-4605	163	1	8	CARDINAL
ap-4605	164	1	θ(t	PERSON
ap-4605	164	2	ρ(t	GPE
ap-4605	164	3	two	CARDINAL
ap-4605	164	4	second	ORDINAL
ap-4605	166	1	0	CARDINAL
ap-4605	167	1	24	CARDINAL
ap-4605	168	1	third	ORDINAL
ap-4605	170	1	ρ̇+ 2ρ2 + 4θ	MONEY
ap-4605	172	1	0	CARDINAL
ap-4605	173	1	25	CARDINAL
ap-4605	175	1	∂qi	PERSON
ap-4605	175	2	26	CARDINAL
ap-4605	175	3	1 ≤ i ≤ 3	QUANTITY
ap-4605	176	1	25	CARDINAL
ap-4605	178	1	2w	CARDINAL
ap-4605	178	2	x2,x3	GPE
ap-4605	179	1	v)x3	PRODUCT
ap-4605	179	2	27	CARDINAL
ap-4605	179	3	376	CARDINAL
ap-4605	180	1	57	CARDINAL
ap-4605	181	1	6/2017	CARDINAL
ap-4605	181	2	w	ORG
ap-4605	182	1	u̇v	ORG
ap-4605	183	1	ifw	PERSON
ap-4605	184	1	x3	PERSON
ap-4605	185	1	1 4 ξ̈	DATE
ap-4605	185	2	1 + q2 2	QUANTITY
ap-4605	185	3	11	CARDINAL
ap-4605	186	1	7	CARDINAL
ap-4605	186	2	first	ORDINAL
ap-4605	186	3	1 2	CARDINAL
ap-4605	187	1	− ξ̇q̇2	PERSON
ap-4605	188	1	2	CARDINAL
ap-4605	190	1	4	CARDINAL
ap-4605	190	2	1 + q2 2	QUANTITY
ap-4605	190	3	1 2	CARDINAL
ap-4605	190	4	1 2	CARDINAL
ap-4605	190	5	0	CARDINAL
ap-4605	190	6	28	CARDINAL
ap-4605	191	1	l	PERSON
ap-4605	192	1	1 + q2 2	QUANTITY
ap-4605	193	1	2ξ	CARDINAL
ap-4605	195	1	ξ̇q2 − 2q̇2ξ√	NORP
ap-4605	196	1	lagrangians	NORP
ap-4605	197	1	1 + q2 2	QUANTITY
ap-4605	198	1	29	CARDINAL
ap-4605	198	2	26	CARDINAL
ap-4605	198	3	2	CARDINAL
ap-4605	199	1	∂∂t +	LOC
ap-4605	199	2	∂qj	PERSON
ap-4605	201	1	1	CARDINAL
ap-4605	202	1	5	CARDINAL
ap-4605	202	2	1this	NORP
ap-4605	202	3	ρ(t	NORP
ap-4605	203	1	0	CARDINAL
ap-4605	204	1	24	CARDINAL
ap-4605	205	1	14	CARDINAL
ap-4605	205	2	512	CARDINAL
ap-4605	207	1	12	CARDINAL
ap-4605	210	1	4	CARDINAL
ap-4605	210	2	⊂ g	PERSON
ap-4605	210	3	8)	CARDINAL
ap-4605	212	1	12	CARDINAL
ap-4605	212	2	15	CARDINAL
ap-4605	215	1	+ q̇2 n	FAC
ap-4605	216	1	1	CARDINAL
ap-4605	216	2	⊗ dx1 +	PERSON
ap-4605	216	3	dqn ⊗	PERSON
ap-4605	216	4	30	CARDINAL
ap-4605	217	1	1	CARDINAL
ap-4605	217	2	isometry	ORG
ap-4605	218	1	16	CARDINAL
ap-4605	219	1	2	CARDINAL
ap-4605	220	1	∂∂t	LOC
ap-4605	220	2	7	CARDINAL
ap-4605	225	1	31	CARDINAL
ap-4605	225	2	1	CARDINAL
ap-4605	226	1	second	ORDINAL
ap-4605	226	2	2q̇kq̇n qn − q2	QUANTITY
ap-4605	226	3	1 ≤	QUANTITY
ap-4605	226	4	1	CARDINAL
ap-4605	228	1	32	CARDINAL
ap-4605	228	2	lagrangian l = l0	ORG
ap-4605	228	3	1	CARDINAL
ap-4605	228	4	two	CARDINAL
ap-4605	228	5	377	CARDINAL
ap-4605	228	6	2	CARDINAL
ap-4605	229	1	15	CARDINAL
ap-4605	229	2	17	CARDINAL
ap-4605	231	1	7	CARDINAL
ap-4605	231	2	∂qj	PERSON
ap-4605	233	1	18	CARDINAL
ap-4605	234	1	15	CARDINAL
ap-4605	234	2	riemann spaces	ORG
ap-4605	235	1	5	CARDINAL
ap-4605	237	1	m. znojil	PERSON
ap-4605	238	1	eu	ORG
ap-4605	239	1	1	CARDINAL
ap-4605	241	1	nachr ges wiss	PERSON
ap-4605	241	2	1918:235–257	CARDINAL
ap-4605	241	3	1918	DATE
ap-4605	242	1	2	CARDINAL
ap-4605	244	1	new-york	GPE
ap-4605	244	2	1982	DATE
ap-4605	245	1	3	CARDINAL
ap-4605	245	2	l. dresner	PERSON
ap-4605	247	1	iop publishing	ORG
ap-4605	247	2	bristol	ORG
ap-4605	247	3	1999	DATE
ap-4605	248	1	4	CARDINAL
ap-4605	248	2	a. m. perelomov	PERSON
ap-4605	249	1	algebras	ORG
ap-4605	250	1	birkhäuser verlag	PERSON
ap-4605	250	2	basel	GPE
ap-4605	250	3	1990	DATE
ap-4605	251	1	5	CARDINAL
ap-4605	251	2	a. s. galiullin	PERSON
ap-4605	253	1	moscow	GPE
ap-4605	253	2	1984	DATE
ap-4605	254	1	6	CARDINAL
ap-4605	254	2	s. e. jones	PERSON
ap-4605	254	3	b. g. vujanovic	PERSON
ap-4605	256	1	73:245–251, 1988	DATE
ap-4605	258	1	7	CARDINAL
ap-4605	258	2	m. gorringe	PERSON
ap-4605	258	3	p. g. l. leach	PERSON
ap-4605	259	1	second	ORDINAL
ap-4605	260	1	11:95–117, 1988	DATE
ap-4605	262	1	8	CARDINAL
ap-4605	262	2	r. campoamor-stursberg	PERSON
ap-4605	263	1	second	ORDINAL
ap-4605	264	1	sci num simulat	ORG
ap-4605	264	2	19:2602–2614, 2014	DATE
ap-4605	265	1	doi:10.1016	GPE
ap-4605	266	1	9	CARDINAL
ap-4605	266	2	p. g. l. leach	PERSON
ap-4605	266	3	second	ORDINAL
ap-4605	266	4	three	CARDINAL
ap-4605	267	1	284:31–48, 2003	DATE
ap-4605	268	1	doi:10.1016	GPE
ap-4605	269	1	10	CARDINAL
ap-4605	269	2	a. ballesteros	PERSON
ap-4605	271	1	652:376–383	CARDINAL
ap-4605	271	2	2007	DATE
ap-4605	272	1	doi:10.1016/j.physletb.2007.07.012	ORG
ap-4605	273	1	11	CARDINAL
ap-4605	273	2	g. gubbioti	PERSON
ap-4605	273	3	m. c. nucci	PERSON
ap-4605	274	1	two	CARDINAL
ap-4605	275	1	58:012902	CARDINAL
ap-4605	275	2	2017	DATE
ap-4605	277	1	12	CARDINAL
ap-4605	277	2	r. campoamor-stursberg	PERSON
ap-4605	278	1	lagrangian systems	ORG
ap-4605	279	1	227:1941–1956	DATE
ap-4605	279	2	2016	DATE
ap-4605	281	1	13	CARDINAL
ap-4605	281	2	e. kamke	PERSON
ap-4605	282	1	differentialgleichungen	ORG
ap-4605	283	1	lösungsmethoden und lösungen	PERSON
ap-4605	285	1	akademische verlagsgesellschaft	PERSON
ap-4605	285	2	leipzig	GPE
ap-4605	285	3	1962	DATE
ap-4605	286	1	14	CARDINAL
ap-4605	286	2	e. kamke	PERSON
ap-4605	287	1	differentialgleichungen	ORG
ap-4605	288	1	lösungsmethoden und lösungen	PERSON
ap-4605	289	1	i. akademische verlagsgesellschaft	PERSON
ap-4605	289	2	leipzig	GPE
ap-4605	289	3	1962	DATE
ap-4605	290	1	15	CARDINAL
ap-4605	290	2	l. karpathopoulos	PERSON
ap-4605	290	3	a. paliathanasis	PERSON
ap-4605	290	4	m. tsamparlis	PERSON
ap-4605	292	1	2017	DATE
ap-4605	294	1	16	CARDINAL
ap-4605	294	2	k. yamagishi	PERSON
ap-4605	295	1	hyperbolic manifolds	ORG
ap-4605	296	1	27:979–981	CARDINAL
ap-4605	296	2	1986	DATE
ap-4605	297	1	doi:10.1063/1.527118	NORP
ap-4605	298	1	17	CARDINAL
ap-4605	298	2	m. tsamparlis	PERSON
ap-4605	298	3	a. paliathanasis	PERSON
ap-4605	298	4	a. qadir	PERSON
ap-4605	299	1	noether symmetries	PERSON
ap-4605	300	1	j geom	PERSON
ap-4605	300	2	12:1550033	CARDINAL
ap-4605	300	3	2015	DATE
ap-4605	301	1	18	CARDINAL
ap-4605	301	2	r. campoamor-stursberg	PERSON
ap-4605	302	1	second	ORDINAL
ap-4605	304	1	sci num simulat	ORG
ap-4605	304	2	37:200–211	CARDINAL
ap-4605	304	3	2016	DATE
ap-4605	305	1	doi:10.1016/j.cnsns.2016.01.015	ORG
ap-4605	306	1	378	CARDINAL
ap-4605	307	1	http://dx.doi.org/10.1016/j.physletb.2007.07.012	GPE
ap-4605	307	2	57(6):373–378	CARDINAL
ap-4605	307	3	2017 1	DATE
ap-4605	307	4	2	CARDINAL
ap-4605	307	5	2.1	CARDINAL
ap-4605	307	6	3	CARDINAL
ap-4605	307	7	3.1 separable	QUANTITY
ap-4605	307	8	3.2	CARDINAL
ap-4605	307	9	4	CARDINAL
ap-4605	307	10	5	CARDINAL