New cases of integrable systems with dissipation on tangent bundles of two- and three-dimensional spheres

被引：5

作者：

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

机构：

[1] Moscow MV Lomonosov State Univ, Res Inst Mech, Moscow 117192, Russia

来源：

DOKLADY PHYSICS | 2016年 / 61卷 / 12期

基金：

俄罗斯基础研究基金会;

关键词：

NONCONSERVATIVE FIELD; DYNAMICS;

D O I：

10.1134/S1028335816120089

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Integrability in elementary functions is demonstrated for some classes of dynamic systems on tangent bundles of two- and three-dimensional spheres. The force fields possess the so-called variable dissipation with a zero mean and generalize those considered earlier.

引用

页码：625 / 629

页数：5

共 50 条

[1] New cases of integrable systems with dissipation on tangent bundles of two- and three-dimensional spheres
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[J]. Doklady Physics, 2016, 61 : 625 - 629
[2] New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Three-Dimensional Manifolds
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[J]. Doklady Mathematics, 2020, 102 : 518 - 523
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