Title: Poincaré Mechanism in Multi-scaled Hamiltonian Systems

报告人：许璐

Abstract: My talk is about the quasi-periodic motions in multi-scaled Hamiltonian systems. It consists of four part. At first, I will introduce the results in integrable Hamiltonian systems since what we focus on is nearly-integrable Hamiltonian system. The second part is the definition of nearly-integrable Hamiltonian system and the classical KAM theorem. After then, I will introduce that what is Poincaré problem and some interesting results corresponding to this problem. The last part, which is also the main part, I will talk about the definition and the back ground of nearly-integrable Hamiltonian system, then the persistence of lower dimensional tori on resonant surface, which is our recent result. I will also simply introduce the Technical ingredients of our work. These are joint works with Prof. Y.Yi and Prof. Y.Li.

报告人简介：许璐，吉林大学数学学院,副教授。研究方向，哈密顿系统的结构稳定性。2008-2011，吉林大学数学学院博士。2012-2013，佐治亚理工学院，博士后。目前主持国家自然科学基金青年项目1项。在Nonlinearity, J. Nonlinear Sci., Ann. Henri Poincaré, J. Dynam. Differential Equations, J. Math. Anal. Appl., Commun. Math. Res.等国际核心SCI期刊发表论文。

时间：2021年12月2日（周四） 14:30-15:30

地点：腾讯会议，会议ID: 269 994 641

邀请人：司文