Limit cycles for perturbing Hamiltonian system inside piecewise smooth polynomial differential system

作者：Wu, Kuilin; Li, Shimin^*

来源：Advances in Difference Equations, 2016, 2016(1): 228.

DOI：10.1186/s13662-016-0957-5

• limit cycle
• Hamiltonian system
• piecewise smooth differential system
• Melnikov method

In this paper, we obtain the first-order Melnikov function of piecewise smooth polynomial perturbation of a Hamiltonian system. As application, we consider the number of limit cycles for perturbing the global center and truncated pendulum inside a piecewise smooth cubic polynomial differential system. Our results show that a piecewise smooth differential system can bifurcate more limit cycles than the smooth one.

• 出版日期2016-9-1
• 单位贵州大学; 广东财经大学; 四川大学