报告时间：2026年10月15日（周四）上午 09:30-10:25

报告地点：苏州大学天赐庄校区纯水楼301

报告人：肖冬梅 教授，上海交通大学


报告摘要：

In this talk, we will introduce the weakened version of Hilbert's 16th problem and the cyclicity of the period annulus, then study the number of limit cycles bifurcating from the period annulus of any quasi-homogeneous polynomial vector fields with a center, under a one-parameter polynomial perturbation. Last we establish an upper bound formula for the number of the isolated zeros of the $k$th order Melnikov function in terms of $k$, $\max \{s_1,s_2\}$ and the degree $n$ of the perturbation. This is based on a joint work with Lubomir Gavrilov and Hongjin He.


邀请人：杨大伟