Bifurcations of limit cycles in a cubic system with cubic perturbations

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摘要

This paper is concerned with limit cycles on two different cubic systems with nine singular points. Eleven limit cycles are found and the distributions are studied by using the methods of bifurcation theory and qualitative analysis.

论文关键词:Limit cycle,Homoclinic loop,Heteroclinic loop,Hamiltonian system

论文评审过程:Available online 9 November 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.09.024