QUADRATIC HAMILTONIAN VECTOR-FIELDS

被引：61
|
作者：
ARTES, JC
LLIBRE, J
机构：
[1] Departament de Matemàliques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1994年 / 107卷 / 01期
关键词：
D O I：
10.1006/jdeq.1994.1004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let H be a cubic polynomial in two variables over R. Then H defines a quadratic Hamiltonian vector field (partial derivative H/partial derivative y, - partial derivative H/partial derivative x). The purpose of this paper is to prove that there are exactly 28 non-equivalent topologic phase portraits of quadratic Hamiltonian vector fields. (C) 1994 Academic Press, Inc.
引用
收藏
页码：80 / 95
页数：16
相关论文
共 50 条
  • [1] DEFORMATIONS OF VECTOR-FIELDS AND HAMILTONIAN VECTOR-FIELDS ON THE PLANE
    VANDENHIJLIGENBERG, N
    KOTCHETKOV, Y
    POST, G
    MATHEMATICS OF COMPUTATION, 1995, 64 (211) : 1215 - 1226
  • [2] LIMIT-CYCLES OF PERTURBATIONS OF QUADRATIC HAMILTONIAN VECTOR-FIELDS
    GAVRILOV, L
    HOROZOV, E
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1993, 72 (02): : 213 - 238
  • [3] HAMILTONIAN STRUCTURES FOR SMOOTH VECTOR-FIELDS
    ABARBANEL, HDI
    ROUHI, A
    PHYSICS LETTERS A, 1987, 124 (4-5) : 281 - 286
  • [4] ON POLYNOMIAL HAMILTONIAN PLANAR VECTOR-FIELDS
    CIMA, A
    GASULL, A
    MANOSAS, F
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 106 (02) : 367 - 383
  • [5] THE CENTER CONDITIONS FOR QUADRATIC VECTOR-FIELDS
    FRANCOISE, JP
    PONS, R
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 318 (10): : 909 - 912
  • [6] ON THE LOCAL HAMILTONIAN-STRUCTURE OF VECTOR-FIELDS
    CREHAN, P
    MODERN PHYSICS LETTERS A, 1994, 9 (15) : 1399 - 1405
  • [7] GENERIC BIFURCATION OF HAMILTONIAN VECTOR-FIELDS WITH SYMMETRY
    DELLNITZ, M
    MELBOURNE, I
    MARSDEN, JE
    NONLINEARITY, 1992, 5 (04) : 979 - 996
  • [8] PERTURBATIONS OF A HAMILTONIAN FAMILY OF CUBIC VECTOR-FIELDS
    URBINA, AM
    CANAS, M
    DELABARRA, GL
    DELABARRA, ML
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1991, 44 (01) : 139 - 147
  • [9] HAMILTONIAN VECTOR-FIELDS IN QUANTUM-MECHANICS
    CIRELLI, R
    LANZAVECCHIA, P
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1984, 79 (02): : 271 - 283
  • [10] SOLUTION OF DULAC PROBLEM FOR QUADRATIC VECTOR-FIELDS
    BAMON, R
    ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 1985, 57 (03): : 265 - 266
12345