Periodic, escape and chaotic orbits in the Copenhagen and the (n+1)-body ring problems

被引：24

作者：

Barrio, Roberto ^{[1
]}

Blesa, Fernando ^{[2
]}

Serrano, Sergio

机构：

[1] Univ Zaragoza, GME, Depto Matemat Aplicada, E-50009 Zaragoza, Spain

[2] Univ Zaragoza, GME, Depto Fis Aplicada, E-50009 Zaragoza, Spain

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 05期

关键词：

Copenhagen problem; (n+1)-body ring problem; Periodic orbits; Chaos indicators; Chaos; Escape orbits;

D O I：

10.1016/j.cnsns.2008.07.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the use of recent computational techniques in the numerical study of qualitative properties of two degrees of freedom Hamiltonian systems. Two particular problems, the Copenhagen and the (n + 1)-body ring problems, are studied by using Chaos Indicators, the Crash Test and by computing the skeleton of symmetric periodic orbits. (C) 2008 Elsevier B.V, All rights reserved.

引用

页码：2229 / 2238

页数：10

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