一类对称五次系统的极限环分支

Limit Cycle Bifurcations of a Symmetric Quintic System

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.

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.