Perturbations of a kind of degenerate quadratic Hamiltonian system with saddle-loop

被引：1

作者：

Zhao, YL ^{[1
]}

Wu, XM ^{[1
]}

Zhu, SM ^{[1
]}

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2002年 / 23卷 / 01期

关键词：

limit cycles; quadratic systems; Abelian integrals;

D O I：

10.1142/S0252959902000109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors investigate a kind of degenerate quadratic Hamiltonian systems with saddle-loop. Under quadratic perturbations, it is proved that the perturbed system has at most two limit cycles in the finite plane. The proof relies on a careful analysis of a related Abelian integral.

引用

页码：85 / 94

页数：10

共 17 条

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