摘要
本文利用多参数扰动法并进行定性分析,对一类三次哈密尔顿系统进行五次扰动,得到了五个极限环.
In this paper, we study a kind of fifth system after perturbation. By using the method of multi-parameter perturbation theory and qualitative analysis. We obtain that the system can have five limit cycles.
出处
《应用数学》
CSCD
北大核心
2005年第4期580-587,共8页
Mathematica Applicata
基金
Supported by the National Ministry of Education (20010248019 ,20020248010) and bythe National Natural Science Foundation of China (10371072)
关键词
扰动
分支
哈密尔顿系统
极限环
同宿轨
Perturbation
Bifurcation
Cubic system
Limit cycle
Homoclinic loop
