Bifurcations of limit cycles in equivariant quintic planar vector fields

被引：3

作者：

Zhao, Liqin ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 422卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Quintic system; Limit cycle; Abelian integral; Equivariant vector field; HAMILTONIAN-SYSTEMS; NUMBER;

D O I：

10.1016/j.jmaa.2014.08.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain 23 limit cycles for a Z(3)-equivariant near-Hamiltonian system of degree 5 which is the perturbation of a Z(6)-equivariant quintic Hamiltonian system. The configuration of these limit cycles is new and different from the configuration obtained by H.S.Y. Chan, K.W. Chung and J. Li, where the unperturbed system is a Z(3)-equivariant quintic Hamiltonian system. Our unperturbed system is different from the unperturbed systems studied by Y. Wu and M. Han. The limit cycles are obtained by Poincare-Pontryagin theorem and Poincare-Bendixson theorem. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：352 / 375

页数：24

共 33 条

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