Limit Cycles for a Discontinuous Quintic Polynomial Differential System

被引：4
作者：
Huang, Bo [1 ,2 ]
机构：
[1] Beihang Univ, LMIB Sch Math & Syst Sci, Beijing 100191, Peoples R China
[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2019年 / 18卷 / 03期
关键词：
Averaging method; Center; Discontinuous quintic system; Limit cycle; Period annulus; 34C05; 34C07; AVERAGING THEORY; 16TH PROBLEM; NUMBER; PERTURBATIONS; BIFURCATIONS;
D O I：
10.1007/s12346-018-00312-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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
收藏
页码：769 / 792
页数：24
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