Limit Cycles for a Discontinuous Quintic Polynomial Differential System

被引：0

作者：

Bo Huang

机构：

[1] Beihang University,LMIB

[2] New York University,School of Mathematics and Systems Science

来源：

Qualitative Theory of Dynamical Systems | 2019年 / 18卷

关键词：

Averaging method; Center; Discontinuous quintic system; Limit cycle; Period annulus; 34C05; 34C07;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article, we study the maximum number of limit cycles for a discontinuous quintic differential system. Using the first-order averaging method, we explain how limit cycles can bifurcate from the period annulus around the center of the considered system when it is perturbed inside a class of discontinuous quintic polynomial differential systems. Our results show that the lower bound and the upper bound of the number of limit cycles, 8 and 10 respectively, that can bifurcate from the period annulus around the center.

引用

页码：769 / 792

页数：23