Examples of Integrable Systems with Dissipation on the Tangent Bundles of Multidimensional Spheres

被引：0

作者：

Shamolin M.V. ^{[1
]}

机构：

[1] Institute of Mechanics of the M. V. Lomonosov Moscow State University, Moscow

来源：

Journal of Mathematical Sciences | 2020年 / 250卷 / 6期

关键词：

70G60; dynamical system; integrability; nonconservative force field; transcendental first integral;

D O I：

10.1007/s10958-020-05054-y

中图分类号：

学科分类号：

摘要：

In this paper, we prove the integrability of certain classes of dynamical systems that appear in the dynamics of multidimensional rigid bodies and the dynamics of a particle moving on a multidimensional sphere. The force field considered has the so-called variable dissipation with zero mean; they are generalizations of fields studied earlier. We present examples of the application of the method for integrating dissipative systems on the tangent bundles of two-dimensional surfaces of revolution. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：932 / 941

页数：9

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