Cyclicity of periodic annulus and Hopf cyclicity in perturbing a hyper-elliptic Hamiltonian system

主 讲 人 ：孙宪波     教授

活动时间：12月01日15时30分    

地      点 ：腾讯会议 242-606-812

讲座内容：

We study the cyclicity of periodic annulusand Hopf cyclicity in perturbing a quintic Hamiltonian system. The undamped system is hyper-elliptic, non-symmetric with a degenerate heteroclinic loop, which connects a hyperbolic saddle to a nilpotent saddle. We rigorously provethat the cyclicity is 3 for periodic annulus when the weak damping term has the same degree as that of the associated Hamiltonian system.

主讲人介绍：

孙宪波，杭州师范大学数学学院教授，博士生导师。研究方向为微分方程定性理论，在中国科学，DCDS B，JDE，JSC，BSM等知名期刊发表学术论文三十余篇，主持两项国家自然科学基金，多项含广西杰出青年基金在内的省部级项目。

发布时间：2022-11-30 14:04:58