Limit cycle bifurcations in a class of piecewise smooth systems with a double homoclinic loop

作者：Liu, Yuanyuan^*; Romanovski, Valery G.

来源：Applied Mathematics and Computation, 2014, 248: 235-245.

DOI：10.1016/j.amc.2014.09.125

• Hamiltonian system
• Double homoclinic loop
• Melnikov function
• Limit cycle

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.

• 出版日期2014-12-1
• 单位上海师范大学