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Heteroclinic orbits of the n-center problem
澳门新葡8455最新网站:2019年09月12日 08:39 点击数:

报告人:陈国璋

报告地点:澳门新葡8455最新网站104室

报告澳门新葡8455最新网站:2019年09月12日星期四10:00-11:00

邀请人:李勇、冀书关

报告摘要:

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.

主讲人概况:

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。

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