Integrable Systems in the Dynamics on the Tangent Bundle of a Two-Dimensional Sphere

被引：0

作者：

Shamolin, M. V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow Univ Inst Mech, Moscow 119991, Russia

来源：

MOSCOW UNIVERSITY MECHANICS BULLETIN | 2016年 / 71卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.3103/S0027133016020011

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A mechanical system whose phase space is the tangent bundle of a two-dimensional sphere is studied. The potential nonconservative systems describing a geodesic flow are classified. A multi parameter family of systems possessing a complete set of transcendental first integrals expressed in terms of finite combinations of elementary functions is found. Some examples illustrating the spatial dynamics of a rigid body interacting with a medium are discussed.

引用

页码：27 / 32

页数：6

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