New cases of integrable systems with dissipation on a tangent bundle of a multidimensional sphere

被引：6

作者：

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

机构：

[1] Moscow MV Lomonosov State Univ, Moscow 119899, Russia

来源：

DOKLADY PHYSICS | 2017年 / 62卷 / 05期

基金：

俄罗斯基础研究基金会;

关键词：

NONCONSERVATIVE FIELD; EQUATIONS;

D O I：

10.1134/S1028335817050081

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The integrability of certain classes of dynamic systems arising in the dynamics of a multidimensional solid and in the dynamics of a point on a tangent bundle of a multidimensional sphere is shown. In this case, the force fields under consideration have the so-called variable dissipation with zero average and generalize previously considered fields.

引用

页码：262 / 265

页数：4

共 50 条

[1] New cases of integrable systems with dissipation on a tangent bundle of a multidimensional sphere
M. V. Shamolin
[J]. Doklady Physics, 2017, 62 : 262 - 265
[2] The Case of Integrable Systems with Dissipation on the Tangent Bundle of a Multidimensional Sphere
Shamolin M.V.
[J]. Journal of Mathematical Sciences, 2018, 228 (6) : 723 - 730
[3] A New Case of an Integrable System with Dissipation on the Tangent Bundle of a Multidimensional Sphere
Shamolin M.V.
[J]. Moscow University Mechanics Bulletin, 2018, 73 (3) : 51 - 59
[4] Integrable Systems with Variable Dissipation on the Tangent Bundle of a Sphere
Shamolin M.V.
[J]. Journal of Mathematical Sciences, 2016, 219 (2) : 321 - 335
[5] New Cases of Integrable Systems with Dissipation on the Tangent Bundles of a Multidimensional Manifold
Shamolin, M. V.
[J]. DOKLADY PHYSICS, 2018, 63 (10) : 424 - 429
[6] New Cases of Integrable Systems with Dissipation on the Tangent Bundles of a Multidimensional Manifold
M. V. Shamolin
[J]. Doklady Physics, 2018, 63 : 424 - 429
[7] Integrable nonconservative dynamical systems on the tangent bundle of the multidimensional sphere
Shamolin, M. V.
[J]. DIFFERENTIAL EQUATIONS, 2016, 52 (06) : 722 - 738
[8] Integrable nonconservative dynamical systems on the tangent bundle of the multidimensional sphere
M. V. Shamolin
[J]. Differential Equations, 2016, 52 : 722 - 738
[9] New cases of integrable systems with dissipation on the tangent bundle of a three-dimensional manifold
M. V. Shamolin
[J]. Doklady Physics, 2017, 62 : 517 - 521
[10] New cases of integrable systems with dissipation on the tangent bundle of a three-dimensional manifold
Shamolin, M. V.
[J]. DOKLADY PHYSICS, 2017, 62 (11) : 517 - 521

← 1 2 3 4 5 →