Hopf Cyclicity and Center Conditions for Some Piecewise Smooth Cubic Differential Systems

被引：0

作者：

Geng, Wei ^{[1
,2
]}

Tian, Yun ^{[1
]}

Han, Tong ^{[3
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai, Peoples R China

[2] Zhejiang Univ Sci & Technol, Hangzhou, Zhejiang, Peoples R China

[3] Golden Educ, 171 Huayuan Rd, Shanghai, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2024年 / 34卷 / 14期

基金：

中国国家自然科学基金;

关键词：

Limit cycle; center condition; Lyapunov constant; piecewise smooth differential system; LIMIT-CYCLES; PERIODIC-ORBITS; BIFURCATION; NUMBER;

D O I：

10.1142/S0218127424501773

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider piecewise smooth differential systems with subsystems having cubic reversible isochronous centers at the origin, where the separation line is a straight line passing through the origin. By computing Lyapunov constants, we obtain Hopf cyclicity at the origin with necessary and sufficient conditions for the origin to be a center in this type of piecewise smooth differential systems.

引用

页数：15

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