Integrable Third and Fifth Order Dynamical Systems with Dissipation
- Authors: Shamolin M.V.1
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Affiliations:
- Lomonosov Moscow State University, Institute of Mechanics 1
- Issue: Vol 239, No 3 (2019)
- Pages: 412-423
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242682
- DOI: https://doi.org/10.1007/s10958-019-04313-x
- ID: 242682
Cite item
Abstract
We establish the integrability of some homogeneous (with respect to a part of variables) dynamical systems of odd (third and fifth) order. In the class of such systems, we extract a system on the tangent bundle of smooth manifolds. The force field is separated into the internal (conservative) force field and the external force field with alternating dissipation. The external force field is introduced by using a certain unimodular transformation and generalizes the cases studied by the author earlier.
About the authors
M. V. Shamolin
Lomonosov Moscow State University, Institute of Mechanics 1
Author for correspondence.
Email: shamolin@rambler.ru
Russian Federation, Michurinskii pr., Moscow, 119192