Hopf bifurcation in a class of piecewise smooth near-Hamiltonian systems

被引：0
|
作者：
Han, Maoan [1 ]
Liu, Shanshan [1 ]
机构：
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Zhejiang, Peoples R China
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2024年 / 195卷
基金：
中国国家自然科学基金;
关键词：
Limit cycle; Melnikov function; Hopf bifurcation; Parabolic-parabolic type; Focus-parabolic type; LIMIT-CYCLES;
D O I：
10.1016/j.bulsci.2024.103471
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss Hopf bifurcation for planar piecewise smooth near-Hamiltonian systems with a center of parabolicparabolic (PP) or focus-parabolic (FP) type. By studying asymptotic expansion of the first order Melnikov function, we obtain theorems to find an upper bound and a lower bound of the number of limit cycles near the center of these two types, respectively. Finally we provide two applications. (c) 2024 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：30
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