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] Department of Mathematics, Shanghai Normal University, Shanghai, China
[2] School of Science, Zhejiang University of Science and Technology, Zhejiang, Hangzhou, China
[3] Golden Education, 171 Huayuan Road, Hongkou District, Shanghai, China
来源：
International Journal of Bifurcation and Chaos | 2024年 / 34卷 / 14期
关键词：
Piecewise linear techniques;
D O I：
10.1142/S0218127424501773
中图分类号：
学科分类号：
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. © 2024 World Scientific Publishing Company.
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