Integrable Dynamic Systems with Dissipation and Finitely Many Degrees of Freedom
- Authors: Shamolin M.V.1
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Affiliations:
- Lomonosov Moscow State University, Institute of Mechanics
- Issue: Vol 235, No 3 (2018)
- Pages: 334-359
- Section: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242121
- DOI: https://doi.org/10.1007/s10958-018-4077-5
- ID: 242121
Cite item
Abstract
We establish the integrability for some classes of dynamic systems on the tangent bundles of multidimensional manifolds. We consider the case where the force fields possess variable dissipation. An example of a four-dimensional manifold is discussed in detail.
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
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