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余国巍:Variational construction for homoclinic and heteroclinic orbits in the N-center problem(时间11.8)
【 澳门威斯尼人平台登陆:  校对时间:2019年11月07日 08:03  访问次数: 】

报告人:余国巍  南开大学

报告时间:11月8日9:00

报告地点:数学与统计学院北研究生教室

主办单位:数学与统计学院

欢迎光临!

  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 ≥ 3, 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 Kuo-Chang Chen.

  余国巍,现任职于南开大学陈省身数学研究所。于美国明尼苏达大学数学系取得博士学位,曾在加拿大多伦多大学,法国巴黎九大及巴黎天文台,意大利都灵大学,美国数学科学研究所(MSRI)等科研机构从事数学研究工作。主要研究兴趣为动力系统,变分法,及其在天体力学上的应用。


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