报告时间： 12月23日（周四）上午 10：00-11：00
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。