科研动态
学术讲座
现在位置: 首页  科研动态  学术讲座
  • 天元讲堂(12.23)Syzygies of the n-center problem
  • 浏览量:92 发布人: 发布时间:2019-12-19

  •   

    报告时间: 1223日(周四)上午 1000-1100

    报告地点: 数学楼2楼报告厅

      

    Abstract: It is well known that the 2-center problem (Kepler problem) is integrable, but the N-center problem with N >2 and positive energy has no analytic integral. A natural question about such a system is to determine topological classes of paths or loops that can be realized by classical solutions. In this talk we consider the N-center problem with collinear centers and identify syzygy sequences which can be realized by minimizers of the Lagrangian action functional. In particular, we show that the number of such realizable syzygy sequences of length L for the 3-center problem is at least F_{L+2}-2, where {F_n} is the Fibanocci sequence. Moreover, with fixed length L, the density of such realizable syzygy sequences of length L for the N-center problem approaches 1 as N goes to infinity. We will also outline the extension of our approach to bi-infinite syzygies and heteroclinic orbits. This is a joint work with

    Guowei Yu.

      

    陈国璋, 台湾清华大学教授, 主要从事天体力学与动力系统的研究工作, 在Annals of Math., ARMA, CMP, ETDS 等国际一流期刊发表多篇论文。


苏州大学数学科学学院 Copyright 2016.All Rights Reserved. 管理后台
电话:0512-65112637 传真:0512-65112637  E-mail:sxxy@suda.edu.cn  地址:苏州市十梓街1号 邮编:215006 苏ICP备06032411号