Limit Cycle Bifurcations by Perturbing a Compound Loop with a Cusp and a Nilpotent Saddle

作者：Tian, Huanhuan; Han, Maoan^*

来源：Abstract and Applied Analysis, 2014, 2014: 819798.

DOI：10.1155/2014/819798

• HAMILTONIAN SYSTEM

We study the expansions of the first order Melnikov functions for general near-Hamiltonian systems near a compound loop with a cusp and a nilpotent saddle. We also obtain formulas for the first coefficients appearing in the expansions and then establish a bifurcation theorem on the number of limit cycles. As an application example, we give a lower bound of the maximal number of limit cycles for a polynomial system of Lienard type.

• 出版日期2014
• 单位上海师范大学