The Square Estimate of the Number of Zeros of A Class of Abelian Integrals

讲座题目Title：The Square Estimate of the Number of Zeros of A Class of Abelian Integrals

讲座时间 Datetime: 2023年12月26日9:00-12:00

地点 Venue: 腾讯会议 177378683  密码：233588

报告人 Speaker: 王少卿 讲师

单位 Affiliation: 华中师范大学

主持人Host：裴龙 副教授

报告摘要 Abstract:

This talk is concerned with the upper bound for the maximal number of zeros of Abelian integrals related to the period annuli of a Hamiltonian system x=-y, y=Tn+1'x, under the deformation of degree n, where Tn+1(x)=cos⁡((n+1)arccosx)is the Chebyshev polynomials of the first kind. By using Argument Principle, we show that the upper bound is O(n2)for every period annulus of such system.

报告人简介：

王少卿，华中师范大学数学与统计学学院讲师。本科毕业于西安交通大学，博士毕业于北京大学，后在中山大学珠海校区做博后。研究方向是常微分方程定性理论与动力系统。相关研究成果发表在IJBC, JDE, Proceedings AMS等期刊。