| 尚德生,张耀明.一类对称五次系统的极限环分支[J].数学年刊A辑,2017,38(3):339~364 |
| 一类对称五次系统的极限环分支 |
| Limit Cycle Bifurcations of a Symmetric Quintic System |
| Received:February 13, 2014 Revised:January 14, 2017 |
| DOI：10.16205/j.cnki.cama.2017.0029 |
| 中文关键词: Perturbation, Singular point value, Homoclinic loop, Limit cycle |
| 英文关键词:Perturbation, Singular point value, Homoclinic loop, Limit cycle |
| 基金项目:本文受到山东省自然科学基金(No.Zr2010AZ003)的资助. |
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| 中文摘要: |
| 对一类对称五次近Hamilton系统在五次对称摄动下产生的极限环数目进行了研究.
通过多参数摄动理论和定性分析, 得到这类对称摄动下的五次系统至少可以存在28个极限环.
%, 其分布见图7. |
| 英文摘要: |
| The authors study the number of limit cycles for a class of
symmetric quintic near-Hamiltonian system under symmetric
perturbations to the origin. Using multi-parameter perturbation
theory and qualitative analysis, they find that the perturbed system
can have at least 28 limit cycles. |
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