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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:391

Article

Liang, Haihua¹  Zhao, Yulin² 

[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

关键词: Quadratic perturbations;    Quadratic reversible system;    Limit cycle;    Abelian integral;   

DOI  :  10.1016/j.jmaa.2012.02.014

来源: Elsevier

【 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.

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