Bifurcation of limit cycles near equivariant compound cycles

被引：0

作者：

Maoan HAN Tonghua ZHANG Hong ZANG Department of Mathematics Shanghai Normal University Shanghai China ^{[200234
]}

机构：

来源：

Science in China(Series A:Mathematics) | 2007年 / 04期

关键词：

equivariant system; stability; bifurcation; limit cycle;

D O I：

暂无

中图分类号：

O192 [整体分析、流形上分析、突变理论];

学科分类号：

070104 ; 0711 ; 071101 ;

摘要：

<正>In this paper we study some equivariant systems on the plane. We first give some criteria for the outer or inner stability of compound cycles of these systems. Then we investigate the number of limit cycles which appear near a compound cycle of a Hamiltonian equivariant system under equivariant perturbations. In the last part of the paper we present an application of our general theory to show that a Z3 equivariant system can have 13 limit cycles.

引用

页码：503 / 514

页数：12