Bifurcations of limit cycles in a Z6-equivariant planar vector field of degree 7

被引：1

作者：

Shi, Jian-ping ^{[1
]}

Li, Ji-bin ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 244卷

关键词：

Bifurcations of limit cycles; Z(6)-equivariant planar vector field; Detection function; Heteroclinic and homoclinic loops; Perturbed Hamiltonian system; HAMILTONIAN SYSTEM; NUMBER;

D O I：

10.1016/j.amc.2014.06.091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the weakened Hilbert's 16th problem for symmetric planar perturbed polynomial Hamiltonian systems is considered. With the help of numerical analysis, by using bifurcation theory of planar dynamical systems and the method of detection function, we show that a Z(6)-equivariant planar perturbed Hamiltonian vector field of degree 7 has at least 37 limit cycles. The paper also shows the configuration of compound eyes of that Z(6)-equivariant system. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：191 / 200

页数：10

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