Limit cycle bifurcations in a class of perturbed piecewise smooth systems

被引：21

作者：

Xiong, Yanqin ^{[1
]}

Han, Maoan ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 242卷

基金：

中国国家自然科学基金;

关键词：

Piecewise perturbed Hamiltonian system; Hopf bifurcation; Generalized homoclinic loop; Phase portrait;

D O I：

10.1016/j.amc.2014.05.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we concern with the number of limit cycles in a piecewise polynomial system. First, we give 42 different phase portraits of the unperturbed system with at least one closed orbit. Then, we perturb one phase portrait of them by piecewise polynomials, and consider lower bounds for the maximal numbers of limit cycles emerging from the origin and generalized homoclinic loop, respectively. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：47 / 64

页数：18

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