Integrable Systems with Many Degrees of Freedom and with Dissipation

被引：0

作者：

M. V. Shamolin

机构：

[1] Moscow State University,Moscow University Institute of Mechanics

来源：

Moscow University Mechanics Bulletin | 2019年 / 74卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The integrability of certain classes of dynamical systems on the tangent bundle of a multidimensional manifold is shown. In this case, the force fields with variable dissipation generalize those considered earlier.

引用

页码：137 / 146

页数：9

共 50 条

[41] Modeling Nondegenerate Bifurcations of Closures of Solutions for Integrable Systems with Two Degrees of Freedom by Integrable Topological Billiards
Vedyushkina, V. V.
Fomenko, A. T.
Kharcheva, I. S.
[J]. DOKLADY MATHEMATICS, 2018, 97 (02) : 174 - 176
[42] Invariant Volume Forms of Variable Dissipation Systems with Three Degrees of Freedom
M. V. Shamolin
[J]. Doklady Mathematics, 2022, 106 : 479 - 484
[43] A SMOOTH TRAJECTORY CLASSIFICATION OF INTEGRABLE HAMILTONIAN-SYSTEMS WITH 2 DEGREES OF FREEDOM
BOLSINOV, AV
[J]. SBORNIK MATHEMATICS, 1995, 186 (1-2) : 1 - 27
[44] On critical level sets of some two degrees of freedom integrable Hamiltonian systems
Medan, C
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1998, 50 (01): : 134 - 151
[45] NEW INTEGRABLE POTENTIALS OF 2 DEGREES OF FREEDOM
WOJCIECHOWSKA, M
WOJCIECHOWSKI, S
[J]. PHYSICS LETTERS A, 1984, 105 (1-2) : 11 - 14
[46] Monodromy of a two degrees of freedom Liouville integrable system with many focus-focus singular points
Cushman, R
Zhilinskii, B
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (28): : L415 - L419
[47] Quasi-Optimal Stabilization of Oscillatory Systems with Many Degrees of Freedom
Voevodin, P. S.
Zabolotnov, Yu. M.
[J]. JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL, 2022, 61 (03) : 332 - 347
[48] Motion planning for flexible shapes (systems with many degrees of freedom): a survey
Kamal Gupta
[J]. The Visual Computer, 1998, 14 : 288 - 302
[49] Coherence angles and coherence times in Hamiltonian systems with many degrees of freedom
DAlessandro, M
DAquino, A
Tenenbaum, A
[J]. PHYSICA A, 1997, 240 (1-2): : 115 - 125
[50] Dynamics and manipulation of entanglement in coupled harmonic systems with many degrees of freedom
Plenio, MB
Hartley, J
Eisert, J
[J]. NEW JOURNAL OF PHYSICS, 2004, 6

← 1 2 3 4 5 →