Limit Cycles Bifurcating from a Class of Cubic Hamiltonian Systems

被引：0

作者：

Chen, Yuanyuan ^{[2
]}

Yu, Jiang ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, CMA Shanghai, Sch Math Sci, Shanghai 200240, Peoples R China

[2] Zhongyuan Univ Technol, Coll Sci, Zhengzhou 450000, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2022年 / 32卷 / 06期

关键词：

Near-Hamiltonian system; Abelian integral; limit cycle; DEGREE-4; PERTURBATIONS;

D O I：

10.1142/S0218127422500882

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the perturbation of a class of cubic Hamiltonian systems is considered. Using Abelian integral, we prove that there exists a neighborhood of the center where the system has at most two limit cycles for arbitrary polynomial perturbation of degree three or four, and at most four limit cycles for arbitrary polynomial perturbation of degree five or six, respectively, which can be reached.

引用

页数：16

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