| 摘要: |
| 在Z3等变四次扰动下,利用Hopf分支理论的方法,证明Z3等变Hamiltonian系统可以扰动出6个小振幅极限环. |
| 关键词: 极限环 近Hamiltonian系统 Z3等变 Hopf分支 |
| DOI： |
| 投稿时间：2012-03-16 |
| 基金项目: |
|
| Limit Cycles Bifurcated from a Z3-equivariant Near-Hamiltonian System |
|
YANG Su-min
|
| (Guangxi Technological College of Machinery and Electricity, Nanning, Guangxi, 530007, China) |
| Abstract: |
| The number of limit cycles of a Z3-equivariant cubic Hamiltonian system under Z3-equivariant quartic perturbations was studied using the methods of Hopf bifurcation theory. The results show that the perturbed system can have 6 small limit cycles. |
| Key words: limit cycle near-Hamiltonian system Z3-equivariance Hopf bifurcation |
