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
收藏
页码：925 / 943
页数：19
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