LIMIT CYCLE BIFURCATIONS IN A CLASS OF PIECEWISE SMOOTH CUBIC SYSTEMS WITH MULTIPLE PARAMETERS

被引：3
|
作者：
Cai, Meilan [1 ]
Han, Maoan [1 ,2 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2021年 / 20卷 / 01期
关键词：
Limit cycle bifurcation; piecewise smooth system; multiple parameters; near-Hamiltonian system; Melnikov function; HAMILTONIAN-SYSTEMS; NUMBER;
D O I：
10.3934/cpaa.2020257
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 problem of limit cycle bifurcation for a class of piecewise smooth cubic systems. Using the first order Melnikov function we prove that at least thirteen limit cycles can be bifurcated from periodic solutions surrounding the center.
引用
收藏
页码：55 / 75
页数：21
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