id	sid	eid	entity	type
ap-1805	1	1	acta polytechnica acta polytechnica	ORG
ap-1805	1	2	53(3):283–288	PRODUCT
ap-1805	1	3	2013	DATE
ap-1805	1	4	czech technical university	ORG
ap-1805	1	5	prague	GPE
ap-1805	1	6	2013	DATE
ap-1805	1	7	martin himmel∗ fb	PERSON
ap-1805	1	8	08	DATE
ap-1805	1	9	johannes gutenberg-universität mainz	ORG
ap-1805	1	10	weg 9	ORG
ap-1805	1	11	mainz	GPE
ap-1805	1	12	germany	GPE
ap-1805	5	1	1	CARDINAL
ap-1805	5	2	⊆	CARDINAL
ap-1805	6	1	two	CARDINAL
ap-1805	7	1	q(x	PERSON
ap-1805	8	1	1	CARDINAL
ap-1805	9	1	two	CARDINAL
ap-1805	9	2	∈	ORG
ap-1805	9	3	1	CARDINAL
ap-1805	9	4	2	DATE
ap-1805	11	1	1	CARDINAL
ap-1805	11	2	d.	NORP
ap-1805	11	3	x(x	ORG
ap-1805	12	1	∈	ORG
ap-1805	12	2	1	CARDINAL
ap-1805	12	3	1	CARDINAL
ap-1805	12	4	ea	CARDINAL
ap-1805	12	5	1	CARDINAL
ap-1805	12	6	k!a k.	PERSON
ap-1805	13	1	two	CARDINAL
ap-1805	13	2	2	CARDINAL
ap-1805	14	1	1–3	CARDINAL
ap-1805	16	1	16th	ORDINAL
ap-1805	16	2	hilbert	PERSON
ap-1805	17	1	1.1	CARDINAL
ap-1805	18	1	hilbert	PERSON
ap-1805	18	2	1	CARDINAL
ap-1805	19	1	16th	ORDINAL
ap-1805	19	2	two	CARDINAL
ap-1805	19	3	first	ORDINAL
ap-1805	20	1	second	ORDINAL
ap-1805	20	2	16th	ORDINAL
ap-1805	20	3	hilbert	PERSON
ap-1805	20	4	1	CARDINAL
ap-1805	20	5	x.	DATE
ap-1805	20	6	second	ORDINAL
ap-1805	20	7	hilbert	PERSON
ap-1805	20	8	1	CARDINAL
ap-1805	22	1	1991	DATE
ap-1805	22	2	4	CARDINAL
ap-1805	22	3	5	CARDINAL
ap-1805	22	4	poincaré	ORG
ap-1805	23	1	écalle et al	PERSON
ap-1805	23	2	6	CARDINAL
ap-1805	25	1	h(d	ORG
ap-1805	26	1	linear	ORG
ap-1805	28	1	four	CARDINAL
ap-1805	28	2	h(2	PERSON
ap-1805	29	1	first	ORDINAL
ap-1805	29	2	16th	ORDINAL
ap-1805	29	3	hilbert	PERSON
ap-1805	29	4	second	ORDINAL
ap-1805	30	1	hilbert	PERSON
ap-1805	30	2	two	CARDINAL
ap-1805	32	1	8	CARDINAL
ap-1805	32	2	russian	NORP
ap-1805	32	3	ilyashenko	PERSON
ap-1805	32	4	9	CARDINAL
ap-1805	32	5	second	ORDINAL
ap-1805	32	6	16th	ORDINAL
ap-1805	34	1	283	CARDINAL
ap-1805	34	2	m. himmel acta polytechnica	PERSON
ap-1805	35	1	1.2	CARDINAL
ap-1805	36	1	2008	DATE
ap-1805	38	1	1	CARDINAL
ap-1805	38	2	5	CARDINAL
ap-1805	39	1	ω ⊆	CARDINAL
ap-1805	42	1	0	CARDINAL
ap-1805	43	1	2	CARDINAL
ap-1805	43	2	ω	CARDINAL
ap-1805	44	1	1	CARDINAL
ap-1805	44	2	ω	CARDINAL
ap-1805	44	3	1	CARDINAL
ap-1805	45	1	1	CARDINAL
ap-1805	46	1	1	CARDINAL
ap-1805	46	2	one	CARDINAL
ap-1805	46	3	1	CARDINAL
ap-1805	46	4	ω	GPE
ap-1805	48	1	2	CARDINAL
ap-1805	48	2	2009	DATE
ap-1805	48	3	10	CARDINAL
ap-1805	49	1	1	CARDINAL
ap-1805	49	2	2	CARDINAL
ap-1805	49	3	ω	GPE
ap-1805	49	4	1	CARDINAL
ap-1805	50	1	3	CARDINAL
ap-1805	51	1	1	CARDINAL
ap-1805	51	2	2	CARDINAL
ap-1805	51	3	ω	CARDINAL
ap-1805	52	1	4	CARDINAL
ap-1805	53	1	11	CARDINAL
ap-1805	54	1	1	CARDINAL
ap-1805	54	2	1	CARDINAL
ap-1805	54	3	1	CARDINAL
ap-1805	55	1	1	CARDINAL
ap-1805	56	1	1	CARDINAL
ap-1805	56	2	ω ⊆	ORG
ap-1805	57	1	0	CARDINAL
ap-1805	58	1	ω	LOC
ap-1805	58	2	zero	CARDINAL
ap-1805	58	3	divx + 〈∇b	PERSON
ap-1805	58	4	〉	CARDINAL
ap-1805	58	5	3	CARDINAL
ap-1805	58	6	ω	DATE
ap-1805	59	1	w 1,p(ω	DATE
ap-1805	60	1	3	CARDINAL
ap-1805	60	2	g-dulac	ORG
ap-1805	60	3	ω	DATE
ap-1805	61	1	2).2	CARDINAL
ap-1805	61	2	1	CARDINAL
ap-1805	62	1	1	CARDINAL
ap-1805	62	2	1	CARDINAL
ap-1805	63	1	ω	LOC
ap-1805	64	1	ω	ORG
ap-1805	64	2	1	CARDINAL
ap-1805	66	1	2	CARDINAL
ap-1805	66	2	12	CARDINAL
ap-1805	68	1	2	CARDINAL
ap-1805	68	2	10	CARDINAL
ap-1805	70	1	1	CARDINAL
ap-1805	70	2	2	DATE
ap-1805	70	3	3	DATE
ap-1805	72	1	0	CARDINAL
ap-1805	76	1	zeros	CARDINAL
ap-1805	78	1	3	CARDINAL
ap-1805	78	2	13	CARDINAL
ap-1805	79	1	⊆	CARDINAL
ap-1805	79	2	ω	ORG
ap-1805	79	3	1	CARDINAL
ap-1805	79	4	neumann	ORG
ap-1805	80	1	14	CARDINAL
ap-1805	81	1	ω	DATE
ap-1805	84	1	1	CARDINAL
ap-1805	84	2	3	CARDINAL
ap-1805	84	3	∏n	DATE
ap-1805	86	1	284	CARDINAL
ap-1805	87	1	53	CARDINAL
ap-1805	88	1	− 3d2	EVENT
ap-1805	90	1	− bc+ d2	PERSON
ap-1805	90	2	3d2	CARDINAL
ap-1805	90	3	b02 =	ORG
ap-1805	90	4	+ 3d2	DATE
ap-1805	93	1	3d2	CARDINAL
ap-1805	93	2	2a3b+	CARDINAL
ap-1805	93	3	3d2	CARDINAL
ap-1805	93	4	0	CARDINAL
ap-1805	93	5	1	CARDINAL
ap-1805	94	1	bij	PRODUCT
ap-1805	94	2	6	CARDINAL
ap-1805	95	1	divx α	PERSON
ap-1805	96	1	ea(r	DATE
ap-1805	96	2	dr +	PERSON
ap-1805	97	1	divx dr	PERSON
ap-1805	97	2	∈	ORG
ap-1805	98	1	linear	ORG
ap-1805	99	1	4	CARDINAL
ap-1805	99	2	10	CARDINAL
ap-1805	100	1	x(z	PRODUCT
ap-1805	101	1	one	CARDINAL
ap-1805	101	2	zero	CARDINAL
ap-1805	102	1	1	CARDINAL
ap-1805	102	2	zero	CARDINAL
ap-1805	102	3	σ(a	ORG
ap-1805	102	4	⊆	CARDINAL
ap-1805	102	5	0	CARDINAL
ap-1805	104	1	x(z	PRODUCT
ap-1805	106	1	2	CARDINAL
ap-1805	106	2	2 +q2	DATE
ap-1805	106	3	4	CARDINAL
ap-1805	106	4	1 2 〈z	QUANTITY
ap-1805	106	5	〉	CARDINAL
ap-1805	107	1	4	CARDINAL
ap-1805	107	2	atg+ga+ tra	ORG
ap-1805	108	1	a+ tra	PERSON
ap-1805	108	2	one	CARDINAL
ap-1805	108	3	5	CARDINAL
ap-1805	108	4	5	CARDINAL
ap-1805	109	1	15	CARDINAL
ap-1805	109	2	5	CARDINAL
ap-1805	110	1	2 +	CARDINAL
ap-1805	110	2	2 +	DATE
ap-1805	110	3	6	CARDINAL
ap-1805	110	4	bij	PRODUCT
ap-1805	110	5	1	CARDINAL
ap-1805	111	1	tra = a+	PERSON
ap-1805	112	1	σ(a	ORG
ap-1805	112	2	0	CARDINAL
ap-1805	112	3	1 2 tra	QUANTITY
ap-1805	112	4	tra 2 )2	ORG
ap-1805	113	1	6	CARDINAL
ap-1805	113	2	one	CARDINAL
ap-1805	113	3	zero	CARDINAL
ap-1805	114	1	hartman grobman	PERSON
ap-1805	114	2	two	CARDINAL
ap-1805	116	1	a hyperbolic zero	CARDINAL
ap-1805	116	2	6=	DATE
ap-1805	116	3	zero	CARDINAL
ap-1805	118	1	2	CARDINAL
ap-1805	119	1	2	CARDINAL
ap-1805	119	2	two	CARDINAL
ap-1805	119	3	two	CARDINAL
ap-1805	119	4	two	CARDINAL
ap-1805	122	1	two	CARDINAL
ap-1805	123	1	3	CARDINAL
ap-1805	124	1	16	CARDINAL
ap-1805	124	2	13	CARDINAL
ap-1805	125	1	1	CARDINAL
ap-1805	125	2	first	ORDINAL
ap-1805	125	3	285	CARDINAL
ap-1805	125	4	m. himmel acta polytechnica	PERSON
ap-1805	125	5	x(t	PERSON
ap-1805	125	6	y(t	GPE
ap-1805	125	7	1	CARDINAL
ap-1805	126	1	x(t	PERSON
ap-1805	126	2	y(t	GPE
ap-1805	126	3	1	CARDINAL
ap-1805	127	1	0	CARDINAL
ap-1805	127	2	imax	PERSON
ap-1805	127	3	∈	ORG
ap-1805	127	4	first	ORDINAL
ap-1805	127	5	1	CARDINAL
ap-1805	127	6	x(t	PERSON
ap-1805	127	7	y(t	GPE
ap-1805	128	1	7	CARDINAL
ap-1805	129	1	7	CARDINAL
ap-1805	129	2	first	ORDINAL
ap-1805	129	3	∈	ORG
ap-1805	129	4	1	CARDINAL
ap-1805	129	5	〉	CARDINAL
ap-1805	130	1	0	CARDINAL
ap-1805	131	1	8)	CARDINAL
ap-1805	131	2	8)	CARDINAL
ap-1805	131	3	first	ORDINAL
ap-1805	132	1	1	CARDINAL
ap-1805	134	1	first	ORDINAL
ap-1805	135	1	2	CARDINAL
ap-1805	136	1	1	CARDINAL
ap-1805	136	2	div(µ	ORG
ap-1805	136	3	〉	CARDINAL
ap-1805	136	4	0	CARDINAL
ap-1805	136	5	ω	GPE
ap-1805	137	1	9	CARDINAL
ap-1805	137	2	first	ORDINAL
ap-1805	137	3	9	CARDINAL
ap-1805	137	4	jacobian	NORP
ap-1805	141	1	first	ORDINAL
ap-1805	142	1	1	CARDINAL
ap-1805	142	2	8)	CARDINAL
ap-1805	142	3	µ(x	PRODUCT
ap-1805	143	1	10	CARDINAL
ap-1805	145	1	two	CARDINAL
ap-1805	146	1	11	CARDINAL
ap-1805	146	2	1	CARDINAL
ap-1805	146	3	1	CARDINAL
ap-1805	146	4	one	CARDINAL
ap-1805	149	1	d.	NORP
ap-1805	149	2	secondly	ORDINAL
ap-1805	150	1	1	CARDINAL
ap-1805	150	2	first	ORDINAL
ap-1805	152	1	3	CARDINAL
ap-1805	153	1	1	CARDINAL
ap-1805	153	2	1	CARDINAL
ap-1805	153	3	1	CARDINAL
ap-1805	154	1	zero	CARDINAL
ap-1805	157	1	first	ORDINAL
ap-1805	158	1	leonard euler	PERSON
ap-1805	158	2	1707–1783	CARDINAL
ap-1805	159	1	first	ORDINAL
ap-1805	159	2	1	CARDINAL
ap-1805	161	1	4	CARDINAL
ap-1805	161	2	4	CARDINAL
ap-1805	162	1	ω ⊆	CARDINAL
ap-1805	163	1	zero	CARDINAL
ap-1805	164	1	zero	CARDINAL
ap-1805	164	2	0	CARDINAL
ap-1805	164	3	12	CARDINAL
ap-1805	164	4	∈	ORG
ap-1805	164	5	〉	CARDINAL
ap-1805	164	6	13	CARDINAL
ap-1805	165	1	k(z	GPE
ap-1805	165	2	f(z	DATE
ap-1805	166	1	〉	CARDINAL
ap-1805	168	1	f , ∇f	GPE
ap-1805	168	2	286	CARDINAL
ap-1805	169	1	53	CARDINAL
ap-1805	170	1	13	CARDINAL
ap-1805	171	1	invariant curve f−1(0	ORG
ap-1805	171	2	⊆	CARDINAL
ap-1805	173	1	first	ORDINAL
ap-1805	174	1	5	CARDINAL
ap-1805	175	1	two	CARDINAL
ap-1805	175	2	1	CARDINAL
ap-1805	175	3	1	CARDINAL
ap-1805	175	4	1	CARDINAL
ap-1805	175	5	〈 ∇	PERSON
ap-1805	175	6	14	CARDINAL
ap-1805	176	1	1	CARDINAL
ap-1805	177	1	6	CARDINAL
ap-1805	181	1	15	CARDINAL
ap-1805	181	2	1 ≤	QUANTITY
ap-1805	181	3	1 ≤ j ≤ l	QUANTITY
ap-1805	181	4	0	CARDINAL
ap-1805	181	5	1	CARDINAL
ap-1805	181	6	nj	ORG
ap-1805	181	7	zero	CARDINAL
ap-1805	183	1	3	CARDINAL
ap-1805	184	1	1	CARDINAL
ap-1805	185	1	k = −divx	PERSON
ap-1805	185	2	16	CARDINAL
ap-1805	187	1	17	CARDINAL
ap-1805	190	1	2	CARDINAL
ap-1805	191	1	g	PERSON
ap-1805	192	1	+ kg	QUANTITY
ap-1805	193	1	3	CARDINAL
ap-1805	195	1	4	CARDINAL
ap-1805	197	1	17	CARDINAL
ap-1805	197	2	18	CARDINAL
ap-1805	197	3	19	CARDINAL
ap-1805	198	1	2	CARDINAL
ap-1805	200	1	first	ORDINAL
ap-1805	200	2	1	CARDINAL
ap-1805	202	1	18	CARDINAL
ap-1805	202	2	invariant algebraic	ORG
ap-1805	202	3	19	CARDINAL
ap-1805	202	4	1	CARDINAL
ap-1805	202	5	∈	ORG
ap-1805	202	6	1	CARDINAL
ap-1805	202	7	2	DATE
ap-1805	203	1	15	CARDINAL
ap-1805	204	1	5	CARDINAL
ap-1805	205	1	algebraic	PERSON
ap-1805	207	1	⊆	CARDINAL
ap-1805	207	2	∈ ω	ORG
ap-1805	207	3	x(p	PERSON
ap-1805	208	1	6	CARDINAL
ap-1805	209	1	one	CARDINAL
ap-1805	209	2	k = 〈∇f	PERSON
ap-1805	209	3	〉	CARDINAL
ap-1805	210	1	5	CARDINAL
ap-1805	210	2	section 2	LAW
ap-1805	210	3	1	CARDINAL
ap-1805	210	4	dulac	DATE
ap-1805	211	1	4	CARDINAL
ap-1805	212	1	one	CARDINAL
ap-1805	212	2	zero	CARDINAL
ap-1805	212	3	two	CARDINAL
ap-1805	212	4	σ(a	ORG
ap-1805	212	5	0	CARDINAL
ap-1805	212	6	zero	CARDINAL
ap-1805	213	1	hartman grobman theorem	PERSON
ap-1805	214	1	hartman grobman	PERSON
ap-1805	214	2	zero	CARDINAL
ap-1805	214	3	287	CARDINAL
ap-1805	214	4	m. himmel acta polytechnica	PERSON
ap-1805	214	5	2	CARDINAL
ap-1805	214	6	three	CARDINAL
ap-1805	214	7	0	CARDINAL
ap-1805	215	1	2	CARDINAL
ap-1805	219	1	1	CARDINAL
ap-1805	221	1	step1	GPE
ap-1805	221	2	zeros	CARDINAL
ap-1805	221	3	step2	PERSON
ap-1805	221	4	zero	CARDINAL
ap-1805	225	1	one	CARDINAL
ap-1805	227	1	1	CARDINAL
ap-1805	228	1	1	CARDINAL
ap-1805	228	2	i. burdujan	PERSON
ap-1805	230	1	bul inst	PERSON
ap-1805	230	2	37(41)(1	CARDINAL
ap-1805	230	3	1991	DATE
ap-1805	231	1	2	CARDINAL
ap-1805	231	2	d. k. kayumov	PERSON
ap-1805	233	1	russian	NORP
ap-1805	234	1	25–29	CARDINAL
ap-1805	234	2	109–110	DATE
ap-1805	237	1	univ.	ORG
ap-1805	237	2	samarkand	GPE
ap-1805	237	3	1984	DATE
ap-1805	238	1	3	CARDINAL
ap-1805	238	2	d. e. koditschek	PERSON
ap-1805	239	1	54(2):181–195	CARDINAL
ap-1805	239	2	1984	DATE
ap-1805	240	1	4	CARDINAL
ap-1805	240	2	y. s. il′yashenko	PERSON
ap-1805	242	1	94	CARDINAL
ap-1805	243	1	american mathematical society	ORG
ap-1805	243	2	ri	GPE
ap-1805	243	3	1991	DATE
ap-1805	244	1	russian	NORP
ap-1805	244	2	h. h. mcfaden	PERSON
ap-1805	245	1	5	CARDINAL
ap-1805	245	2	h. dulac	PERSON
ap-1805	246	1	sur les cycles limites	ORG
ap-1805	247	1	france	GPE
ap-1805	247	2	51:45–188, 1923	DATE
ap-1805	248	1	6	CARDINAL
ap-1805	249	1	i. c r	PERSON
ap-1805	249	2	sci paris sér	ORG
ap-1805	249	3	304(13):375–377, 1987	DATE
ap-1805	250	1	7	CARDINAL
ap-1805	251	1	hilbert	ORG
ap-1805	251	2	16th	ORDINAL
ap-1805	252	1	bull amer	PERSON
ap-1805	252	2	39(3):301–354, 2002	DATE
ap-1805	253	1	8	CARDINAL
ap-1805	253	2	y. s. il′yashenko	PERSON
ap-1805	253	3	hilbert	ORG
ap-1805	253	4	16th	ORDINAL
ap-1805	254	1	today	DATE
ap-1805	254	2	russian	NORP
ap-1805	255	1	135–213	CARDINAL
ap-1805	257	1	mosk	PERSON
ap-1805	258	1	univ.	ORG
ap-1805	258	2	moscow	GPE
ap-1805	258	3	2003	DATE
ap-1805	259	1	9	CARDINAL
ap-1805	259	2	j. llibre	PERSON
ap-1805	260	1	16	CARDINAL
ap-1805	261	1	gac	ORG
ap-1805	261	2	2012	DATE
ap-1805	262	1	10	CARDINAL
ap-1805	262	2	m. himmel	PERSON
ap-1805	265	1	2009	DATE
ap-1805	266	1	11	CARDINAL
ap-1805	266	2	a. a. andronov	PERSON
ap-1805	266	3	second	ORDINAL
ap-1805	267	1	halsted press	ORG
ap-1805	267	2	john wiley & sons	ORG
ap-1805	267	3	new york-toronto	GPE
ap-1805	267	4	ont.	GPE
ap-1805	267	5	1973	DATE
ap-1805	268	1	russian	NORP
ap-1805	268	2	d.	NORP
ap-1805	269	1	12	CARDINAL
ap-1805	269	2	h. p. guckenheimer	PERSON
ap-1805	269	3	john.	PERSON
ap-1805	272	1	13	CARDINAL
ap-1805	274	1	berlin	GPE
ap-1805	274	2	2006	DATE
ap-1805	275	1	14	CARDINAL
ap-1805	275	2	d. a. neumann	PERSON
ap-1805	276	1	2-manifolds	CARDINAL
ap-1805	277	1	amer	PERSON
ap-1805	277	2	48:73–81,	DATE
ap-1805	277	3	1975	DATE
ap-1805	278	1	15	CARDINAL
ap-1805	278	2	r. bhatia	PERSON
ap-1805	279	1	29:1–21, 1997	DATE
ap-1805	280	1	16	CARDINAL
ap-1805	280	2	i. a. garcía	PERSON
ap-1805	282	1	dyn syst 9(1-2):115–166, 2010	ORG
ap-1805	283	1	17	CARDINAL
ap-1805	283	2	j. llibre	PERSON
ap-1805	286	1	437–532	CARDINAL
ap-1805	286	2	north-holland	GPE
ap-1805	286	3	amsterdam	GPE
ap-1805	286	4	2004	DATE
ap-1805	287	1	18	CARDINAL
ap-1805	289	1	trans amer	PERSON
ap-1805	289	2	338(2):799–841, 1993	DATE
ap-1805	290	1	19	CARDINAL
ap-1805	291	1	algebraic	PERSON
ap-1805	292	1	montreal	GPE
ap-1805	292	2	pq	ORG
ap-1805	292	3	1992	DATE
ap-1805	293	1	408	CARDINAL
ap-1805	294	1	sci. inst	ORG
ap-1805	298	1	sci.	ORG
ap-1805	299	1	429–467	MONEY
ap-1805	299	2	kluwer	ORG
ap-1805	300	1	dordrecht	ORG
ap-1805	300	2	1993	DATE
ap-1805	301	1	288	CARDINAL
ap-1805	301	2	53(3):283–288	PRODUCT
ap-1805	301	3	2013 1	DATE
ap-1805	301	4	1.1	CARDINAL
ap-1805	301	5	hilbert	PERSON
ap-1805	301	6	1.2	CARDINAL
ap-1805	301	7	2	CARDINAL
ap-1805	301	8	3	CARDINAL
ap-1805	301	9	4	CARDINAL
ap-1805	301	10	5	CARDINAL