三体问题中Birkhoff问题的缘起和现状

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A Brief Account of G.D.Birkhoff’s Problem in the Problem of Three Bodies

摘要: 本文从历史上概述了G.D.Birkhoff第七问题,即:对于利用十个古典积分降阶后的运动方程.要求明确它的定义集合的拓朴构造的问题.就此,简记了近年来的一些结果和它们的意义.

Abstract: The present article gives a historical survey of G,D.Birkhoff's seventh problem whick is an inquiry about the topological structure of the set of definition of the reduced differential equations of motion,Recent advances in the problem and their meaning have been briefly indicated.

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