The Cyclicity of Period Annuli of a Quadratic Reversible Lotka-Volterra System with Two Centers
نویسنده
چکیده
This paper is concerned with the bifurcations of limit cycles in a quadratic reversible Lotka-Volterra system with two centers under quadratic perturbations. By studying the number of zeros of Abelian integral based on the geometric properties of some planar curves, we obtain the cyclicity of each periodic annulus of the system under quadratic perturbations is two, and the cyclicity of two period annuli is three. In addition, we present the configurations of limit cycles of the perturbed system. Mathematics Subject Classification: 34C07, 34C08, 37G15
منابع مشابه
The Cyclicity of Period Annuli of Some Classes of Reversible Quadratic Systems
The cyclicity of period annuli of some classes of reversible and non-Hamiltonian quadratic systems under quadratic perturbations are studied. The argument principle method and the centroid curve method are combined to prove that the related Abelian integral has at most two zeros.
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