Integrable Systems with Dissipation and Two and Three Degrees of Freedom
- Authors: Shamolin M.V.1
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Affiliations:
- Lomonosov Moscow State University, Institute of Mechanics
- Issue: Vol 235, No 2 (2018)
- Pages: 220-242
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242098
- DOI: https://doi.org/10.1007/s10958-018-4070-z
- ID: 242098
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Abstract
We establish the integrability for some classes of dynamic systems on the tangent bundles of two– and three-dimensional manifolds (systems with two and three degrees of freedom). The force fields possess the so-called variable dissipation and generalize those considered in the previous publications of the author.
About the authors
M. V. Shamolin
Lomonosov Moscow State University, Institute of Mechanics
Author for correspondence.
Email: shamolin@rambler.ru
Russian Federation, 1, Michurinskii pr., Moscow, 119192