Bifurcations of limit cycles in a Z2-equivariant planar polynomial vector field of degree 7

被引：11

作者：

Li, JB ^{[1
]}

Zhang, MJ

Li, SM

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Yunnan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2006年 / 16卷 / 04期

基金：

中国国家自然科学基金;

关键词：

bifurcation; limit cycles; perturbed planar Hamiltonian systems; Hilbert's 16th problem;

D O I：

10.1142/S0218127406015210

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the bifurcation theory of planar dynamical systems and the method of detection functions, the bifurcations of limit cycles in a Z(2)-equivariant planar perturbed Hamiltonian polynomial vector fields of degree 7 are studied. An example of a special Z(2)-equivariant vector field having 50 limit cycles with a configuration of compound eyes are given.

引用

页码：925 / 943

页数：19

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