Limit cycles bifurcated from a class of quadratic reversible center of genus one

被引：12

作者：

Liang, Haihua ^{[1
]}

Zhao, Yulin ^{[2
]}

机构：

[1] Guangdong Polytech Normal Univ, Dept Comp Sci, Guangzhou 510665, Guangdong, Peoples R China

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 391卷 / 01期

关键词：

Quadratic perturbations; Quadratic reversible system; Limit cycle; Abelian integral; PERIOD ANNULUS; PERTURBATIONS; CYCLICITY; SYSTEMS; CRITERION;

D O I：

10.1016/j.jmaa.2012.02.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the bifurcation of limit cycles in a class of planar quadratic reversible (non-Hamiltonian) systems. This systems has a center of genus one. The exact upper bound of the number of limit cycles is given. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：240 / 254

页数：15

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