On the number of limit cycles for a perturbed cubic reversible Hamiltonian system

被引：0
|
作者：
Yang, Jihua [1 ]
机构：
[1] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China
来源：
CHAOS | 2024年 / 34卷 / 10期
基金：
中国国家自然科学基金;
关键词：
ISOCHRONOUS CENTERS; PIECEWISE-SMOOTH; BIFURCATION; INTEGRALS; PLANAR;
D O I：
10.1063/5.0211447
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the limit cycle problem of a cubic reversible Hamiltonian system under perturbation of polynomials of degree n with a switching line x = 0. The upper and lower bounds of the number of limit cycles are obtained using the first order Melnikov function and its expansion. The method for calculating the Melnikov function relies upon some iterative formulas, which differs from other approaches.
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页数：9
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