Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1275-1286.

• Articles • Previous Articles     Next Articles

Quadratic Perturbations of a Quadratic Reversible Lotka-Volterra System of Genus One with Two Centers

吴奎霖1, 邵仪2   

  1. 1.Department of Mathematics, GuiZhou University, |Guiyang 550025;
    2.Department of Mathematics, Zhaoqing University, Guangdong |Zhaoqing 526061
  • Received:2013-02-23 Revised:2013-12-19 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    国家自然科学基金(11301105, 11201086)、贵州省科学技术基金(黔科合J字[2012]2167)和贵州大学人才引进基金(201104)资助

Abstract:

This paper is concerned with limit cycles which bifurcate from period annulus of a quadratic reversible Lotka-Volterra system of genus one with two centers. We prove that the number of limit cycles of two period annulus of the quadratic reversible Lotka-Volterra system(rlv5) under quadratic perturbations is less or equal to three.

Key words: Reversible Lotka-Volterra system, Abelian integral, Limit cycle

CLC Number: 

  • 34C05
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