Limit cycle bifurcations in a class of piecewise smooth systems with a double homoclinic loop
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摘要
In this paper we consider a class of perturbed piecewise smooth systems. Applying the method of first order Melnikov function we give a lower bound for the maximal number of limit cycles bifurcated from a double homoclinic loop. As an application we construct a piecewise quadratic system with quartic perturbation, which has 11 limit cycles bifurcated from such loop.
论文关键词:Hamiltonian system,Double homoclinic loop,Melnikov function,Limit cycle
论文评审过程:Available online 17 October 2014.
论文官网地址:https://doi.org/10.1016/j.amc.2014.09.125