Examples of Integrable Systems with Dissipation on the Tangent Bundles of Four-Dimensional Manifolds

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; integrability; multidimensional dynamical system; nonconservative force field; transcendental first integral;

D O I：

10.1007/s10958-020-05057-9

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 on the tangent bundles of four-dimensional manifolds (systems with four degrees of freedom). The force field considered possessed so-called variable dissipation; they are generalizations of fields studied earlier. This paper continues earlier works of the author devoted to systems on the tangent bundles of two- and three-dimensional manifolds. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：973 / 983

页数：10

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