LIMIT CYCLES OF SOME Z3-EQUIVARIANT NEAR-HAMILTONIAN SYSTEMS OF DEGREES 3 AND 4

• 来源期刊: 微分方程年刊（英文版）
• 关键词: limit cycles Zs-equivaxiance near-Hamiltonian systems Melnikov function
• 年，卷（期）: 2009,（2）
• 页码范围: 170-178
• 页数: 9页
• 语种: 英文

摘要

This paper studies the number of limit cycles of some Z3-equivariant near-Hamiltonian systems of degrees 3 and 4, which arc a perturbation of a cubic Hamiltonian system. By the Melnikov function method, we obtain 5 and 6 limit cycles respectively.