Limit Cycles Bifurcating from a Quadratic Reversible Lotka-Volterra System with a Center and Three Saddles  

作　　者：Kuilin WU Haihua LIANG 

机构地区：[1]Department of Mathematics,Guizhou University [2]Department of Mathematics,Guangdong Polytechnic Normal University

出　　处：《Chinese Annals of Mathematics,Series B》2014年第1期25-32,共8页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11226152,11201086);the Science and Technology Foundation of Guizhou Province(No.[2012]2167);the Foundation for Distinguished Young Talents in Higher Education of Guangdong(No.2012LYM_0087);the Talent Project Foundation of Guizhou University(No.201104)

摘　　要：This paper is concerned with limit cycles which bifurcate from a period annulus of a quadratic reversible Lotka-Volterra system with sextic orbits.The authors apply the property of an extended complete Chebyshev system and prove that the cyclicity of the period annulus under quadratic perturbations is equal to two.

关 键 词：Reversible Lotka-Volterra systems Abelian integrals Limit cycles 

分 类 号：O175[理学—数学]