Limit cycle bifurcations in a class of piecewise smooth systems with a double homoclinic loop

被引：12

作者：

Liu, Yuanyuan ^{[1
]}

Romanovski, Valery G. ^{[1
,2
,3
]}

机构：

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

[2] Univ Maribor, Ctr Appl Math & Theoret Phys, SLO-2000 Maribor, Slovenia

[3] Univ Maribor, Fac Nat Sci & Math, SLO-2000 Maribor, Slovenia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 248卷

基金：

中国国家自然科学基金;

关键词：

Hamiltonian system; Double homoclinic loop; Melnikov function; Limit cycle;

D O I：

10.1016/j.amc.2014.09.125

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a class of perturbed piecewise smooth systems. Applying the method of first order Melnikov function we give a lower bound for the maximal number of limit cycles bifurcated from a double homoclinic loop. As an application we construct a piecewise quadratic system with quartic perturbation, which has 11 limit cycles bifurcated from such loop. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：235 / 245

页数：11

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