Email this article Suslov Problem with the Clebsch–Tisserand Potential
- Authors: Hu S.1, Santoprete M.1
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Affiliations:
- Department of Mathematics
- Issue: Vol 23, No 2 (2018)
- Pages: 193-211
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/218950
- DOI: https://doi.org/10.1134/S1560354718020053
- ID: 218950
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Abstract
In this paper, we study a nonholonomic mechanical system, namely, the Suslov problem with the Clebsch–Tisserand potential. We analyze the topology of the level sets defined by the integrals in two ways: using an explicit construction and as a consequence of the Poincaré–Hopf theorem. We describe the flow on such manifolds.
About the authors
Shengda Hu
Department of Mathematics
Author for correspondence.
Email: shu@wlu.ca
Canada, Waterloo, ON
Manuele Santoprete
Department of Mathematics
Email: shu@wlu.ca
Canada, Waterloo, ON
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