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学术报告

Simple choreographies in Newtonian N-body problem-余国巍 博士(University of Toronto/巴黎九大)

题目: Simple choreographies in Newtonian N-body problem

报告人: 余国巍 博士 (University of Toronto/巴黎九大)

摘要:In the year 2000, using variational method, A. Chenciner and R. Montgomery proved the celebrated "Figure-Eight" solution of the three body problem with equal masses. The remarkable feature of this solution is that all three masses travel on a single loop in the shape of figure 8. Soon after for arbitrary N body problem with equal masses, many solutions with the particular feature that all masses travel on a single loop with different shapes were discovered numerically by C. Simo and he named such solutions "simple choreographies".

In this talk, we give a proof of a special family of simple choreographies called "linear chains". As a result, this confirms a conjecture given by Chenciner, Gerver, Montgomery and Simo in 2002.

时间:2016年9月9日(周五)上午10:00

地点:首都师大北一区文科楼709教室

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