Higher order Melnikov functions for piecewise Hamiltonian systems and limit cycles

讲座时间 Datetime: 2022年12月15日，星期四，16：00-17：00

地点 Venue: 腾讯线上会议： 818-486-007

主持人 Host：刘长剑 教授

报告人 Speaker: 于江 教授

单位 Affiliation: 上海交通大学

报告摘要 Abstract:

In this paper, we focus on the theory of higher order Melnikov functions, which can be used to deal with general planar piecewise Hamiltonian systems separated by a straight line. We propose a new formula for any order Melnikov function which is more readable and symmetric. Furthermore, we apply the formula to a problem on the number of limit cycles bifurcated form above piecewise center, which is still open now.  

报告人简介：

于江，上海交通大学数学科学学院教授，博士生导师。1999年获北京大学博士学位。从事微分方程定性和分岔理论研究。参与国家自然科学基金重点项目，在Communications in Mathematical Physics、Journal of Differential Equations、Nonlinearity、Journal of Geometry and Physics 等国际重要学术期刊上发表了一系列高水平学术论文。