Limit cycles of a Z(3)-equivariant near-Hamiltonian system

作者：Ma Hongyan; Han Maoan

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 71(9): 3853-3871.

DOI：10.1016/j.na.2009.02.054

• Limit cycles
• Z(3)-equivariance
• Near-Hamiltonian systems
• Melnikov function

This paper presents a study on the number of limit cycles Of a Z(3)-equivariant near-Hamiltonian system of degree 5 which is a perturbation of a cubic Hamiltonian system. By using the Melnikov method, we obtain 15 limit cycles. With degrees 3 and 4, we respectively get 4 and 10 limit cycles.

• 出版日期2009-11-1
• 单位上海师范大学