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

页码：80 / 95

页数：16

共 17 条

[1]

Andronov A. A., 1973, QUALITATIVE THEORY 2

[2]

Arnold V. I., 1978, GRADUATE TEXTS MATH

[3]

Arnold V.I., 1988, ENCY MATH SCI, V1-2

[4]

ARTES JC, 1990, THESIS U AUTONOMA BA