LIMIT CYCLES OF SOME Z3-EQUIVARIANT NEAR-HAMILTONIAN SYSTEMS OF DEGREES 3 AND 4

被引：0

作者：

Christoph Lhotka ^{[1
]}

机构：

[1] Dept.of Astromony,Wien University,A-1180 Vienna, Austria

来源：

Annals of Applied Mathematics | 2009年 / 25卷 / 02期

关键词：

limit cycles; Z3-equivariance; near-Hamiltonian systems; Melnikov function;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This paper studies the number of limit cycles of some Z3-equivariant near-Hamiltonian systems of degrees 3 and 4,which are a perturbation of a cubic Hamiltonian system. By the Melnikov function method,we obtain 5 and 6 limit cycles respectively.

引用

页码：170 / 178

页数：9