KAM theorem in application for multi-scale Hamiltonian systems-东北师范大学数学与统计学院

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KAM theorem in application for multi-scale Hamiltonian systems

时间：2020年11月05日 16:47 点击数：

报告人：许璐

报告地点：腾讯会议App

报告时间：2020年11月09日星期一13:30-14:30

邀请人：祖建

报告摘要：

This is a joint work with Prof. Y.Yi and Prof. Y.Li. 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 Poincare 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.

会议网址：https://meeting.tencent.com/s/SkKQNx0AEFwN

会议ID：679 935 480

会议密码：123456

主讲人简介：

许璐，吉林大学副教授，主要研究多尺度近可积哈密顿系统不变环面保持性，是研究KAM理论的专家，动力系统领域有杰出的青年学者。许璐本科毕业于吉林大学数学学院，2011年在吉林大学获得博士学位，师从李勇教授，2012-2013年在美国佐治亚理工学院从事博士后研究工作，合作导师为易英飞教授和de la Llave教授。许璐与合作者在多尺度KAM理论领域有许多重要的工作，主要成果发表在《 Ann. Henri Poincaré》，《 J. Nonlinear Sci.》，《 Nonlinearity》等国际权威杂志上。