N-body Dynamics on an Infinite Cylinder: the Topological Signature in the Dynamics

被引：0
|
作者：
Jaime Andrade
Stefanella Boatto
Thierry Combot
Gladston Duarte
Teresinha J. Stuchi
机构：
[1] Universidad del Bii o-Bii o,Departamento de Matemática, Facutad de Ciencias
[2] Universidade Federal de Rio de Janeiro,Departamento de Matemática Aplicada, Instituto de Matemática
[3] Universitat de Barcelona,Barcelona Graduate School of Mathematics & Departament de Matemàtiques i Informática
[4] Université de Bourgogne,Institut de Mathématiques de Bourgogne
[5] Universidade Federal de Rio de Janeiro,Departamento de Fiisica
来源：
Regular and Chaotic Dynamics | 2020年 / 25卷
关键词：
-body problem; Hodge decomposition; central forces on manifolds; topology and integrability; differential Galois theory; Poincaré sections; stability of relative equilibria; 37J30; 37J25; 53Z05; 70G60; 70H05;
D O I：
暂无
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学科分类号：
摘要：
The formulation of the dynamics of N-bodies on the surface of an infinite cylinder is considered. We have chosen such a surface to be able to study the impact of the surface’s topology in the particle’s dynamics. For this purpose we need to make a choice of how to generalize the notion of gravitational potential on a general manifold. Following Boatto, Dritschel and Schaefer [5], we define a gravitational potential as an attractive central force which obeys Maxwell’s like formulas.
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页码：78 / 110
页数：32
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