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Title: The Case of Integrable Systems with Dissipation on the Tangent Bundle of a Multidimensional Sphere

Abstract

We establish the integrability of dynamical systems of some classes arising in multidimensional dynamics. The force fields under consideration possess the so-called variable dissipation with zero mean and generalize the studied earlier ones.

Authors:
 [1]
  1. Lomonosov Moscow State University, Institute of Mechanics (Russian Federation)
Publication Date:
OSTI Identifier:
22771586
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 228; Journal Issue: 6; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; INTEGRABILITY; INTEGRABLE SYSTEMS; MANY-DIMENSIONAL CALCULATIONS; RIEMANN SPACE; SPHERES

Citation Formats

Shamolin, M. V., E-mail: shamolin@rambler.ru. The Case of Integrable Systems with Dissipation on the Tangent Bundle of a Multidimensional Sphere. United States: N. p., 2018. Web. doi:10.1007/S10958-017-3649-0.
Shamolin, M. V., E-mail: shamolin@rambler.ru. The Case of Integrable Systems with Dissipation on the Tangent Bundle of a Multidimensional Sphere. United States. doi:10.1007/S10958-017-3649-0.
Shamolin, M. V., E-mail: shamolin@rambler.ru. Thu . "The Case of Integrable Systems with Dissipation on the Tangent Bundle of a Multidimensional Sphere". United States. doi:10.1007/S10958-017-3649-0.
@article{osti_22771586,
title = {The Case of Integrable Systems with Dissipation on the Tangent Bundle of a Multidimensional Sphere},
author = {Shamolin, M. V., E-mail: shamolin@rambler.ru},
abstractNote = {We establish the integrability of dynamical systems of some classes arising in multidimensional dynamics. The force fields under consideration possess the so-called variable dissipation with zero mean and generalize the studied earlier ones.},
doi = {10.1007/S10958-017-3649-0},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 6,
volume = 228,
place = {United States},
year = {2018},
month = {2}
}