LIMIT CYCLES IN A SWITCHING LIENARD SYSTEM

被引：0

作者：

Wang, Xiangyu ^{[1
]}

Guo, Laigang ^{[2
]}

机构：

[1] Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, MOE, Beijing 100875, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2023年 / 28卷 / 02期

关键词：

Lienard system; switching lines; Lyapunov constant; center; limit cycle;

D O I：

10.3934/dcdsb.2022132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

ABSTRACT. In this paper, we consider a class of quadratic switching Lie ' nard systems with three switching lines. We give an algorithm for computing the Lyapunov constants of this system. Based on this method, we obtain a center condition and three limit cycles bifurcating from the focus (0, 0). Further, an example of quadratic switching systems is constructed to show the existence of six limit cycles bifurcating from the center. This is a new low bound on the maximal number of small-amplitude limit cycles obtained in such quadratic switching systems.

引用

页码：1503 / 1512

页数：10

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