Limit Cycle Bifurcations for Piecewise Smooth Hamiltonian Systems with a Generalized Eye-Figure Loop

作者：Yang, Jihua; Zhao, Liqin

来源：International Journal of Bifurcation and Chaos, 2016, 26(12): 1650204.

DOI：10.1142/S0218127416502047

• Piecewise smooth Hamiltonian system
• limit cycle
• generalized eye-figure loop
• Melnikov function

This paper deals with the limit cycle bifurcations for piecewise smooth Hamiltonian systems. By using the first order Melnikov function of piecewise near-Hamiltonian systems given in [Liu & Han, 2010], we give a lower bound and an upper bound of the number of limit cycles that bifurcate from the period annulus between the center and the generalized eye-figure loop up to the first order of Melnikov function.

• 出版日期2016-11
• 单位北京师范大学; 宁夏师范学院