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.
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页数：15
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