Limit cycle bifurcations in a planar piecewise quadratic system with multiple parameters

Advances in Difference Equations

article

Gong, Shuhua¹  Han, Maoan¹ 

[1] Department of Mathematics, Shanghai Normal University;College of Mathematics Physics and Information Engineering, Jiaxing University;Department of Mathematics, Zhejiang Normal University

关键词: Piecewise smooth system;    Melnikov function method;    Limit cycle;   

DOI  :  10.1186/s13662-020-02827-2

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the number of limit cycles bifurcating from a period annulus for some planar piecewise smooth non-Hamiltonian systems. We construct a planar piecewise quadratic system with multiple parameters, obtain its lower bound for the maximum number of limit cycles by using Melnikov function method, and find more limit cycles than (Li and Liu in J. Math. Anal. Appl. 428:1354–1367, 2015).

【 授权许可】

CC BY