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 syste...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.展开更多
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)+1 种基金the Foundation for Distinguished Young Talents in Higher Education of Guangdong(No.2012LYM_0087)the Talent Project Foundation of Guizhou University(No.201104)
文摘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.
