报告题目：Heteroclinic orbits of the n-center problem

报告人:  陈国璋 教授（台湾清华大学）

时间：2019年10月12日下午16:30-17:30

地点：浙江大学玉泉校区工商楼200-9

摘要: It is well-known that the N-center problem is chaotic when N ≥ 3. By regularizing collisions, one can associate the dynamics with a symbolic dynamical system which yields infinitely many periodic and chaotic orbits, possibly with collisions. it is a challenging task to construct chaotic orbits without any collision. In this talk we consider the planar N-center problem with collinear centers and N ≥ 4, and show that, for any fixed nonnegative energy and certain types of periodic free-time minimizers, there are infinitely many collision-free heteroclinic orbits connecting them. Our approach is based on minimization of a normalized action functional over paths within certain topological classes, and the exclusion of collision is based on some recent advances on local deformation methods. This is a joint work with Guowei Yu.

报告人简介：陈国璋 (Chen, Kuo-Chang)，台湾清华大学数学系教授，曾任台湾清华大学数学系主任。研究领域为动力系统，天体力学及微分方程。研究成果在Annals of Math等顶级数学期刊上发表，获得多项学术荣誉及奖励。现担任学术期刊Nonlinearity及Discrete and Continuous Dynamical Systems�Series A 编委。

All are welcome!

联系人：张挺 (zhangting79@zju.edu.cn)

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