Symmetry group classification of three-dimensional Hamiltonian systems

被引：8

作者：

Damianou, PA ^{[1
]}

Sophocleous, C ^{[1
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

来源：

APPLIED MATHEMATICS LETTERS | 2000年 / 13卷 / 02期

关键词：

Hamiltonian systems; symmetry groups; classification;

D O I：

10.1016/S0893-9659(99)00166-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some results on the symmetry group classification for an autonomous Hamiltonian system with three degrees of freedom. The potentials considered are natural, i.e., depend on the position variables only and the symmetries considered are Lie point symmetries. With the exception of the harmonic oscillator or a free particle where the dimension is 24, we obtain all dimensions between 1 and 12, except 8. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：63 / 70

页数：8

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