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Regular and Chaotic Dynamics, 2018, Volume 23, Issue 2, Pages 193–211
DOI: https://doi.org/10.1134/S1560354718020053 (Mi rcd318) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Suslov Problem with the Clebsch–Tisserand Potential

Shengda Hu, Manuele Santoprete

Department of Mathematics, Wilfrid Laurier University, 75 University Avenue West, Waterloo, ON, Canada
Citations (1)
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DOI: https://doi.org/10.1134/S1560354718020053
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.
Keywords: Suslov Problem, topology of level sets, nonholonomic systems, rigid body, Chaplygin systems.
Funding agency
The research was supported in part by the Natural Sciences and Engineering Research Council of Canada (NSERC) Discovery Grants (SH, MS).
Received: 01.09.2017
Accepted: 29.11.2017
Bibliographic databases:
Document Type: Article
MSC: 70F25,70G40,37J60,37J35
Language: English
Citation: Shengda Hu, Manuele Santoprete, “Suslov Problem with the Clebsch–Tisserand Potential”, Regul. Chaotic Dyn., 23:2 (2018), 193–211
Citation in format AMSBIB
\Bibitem{HuSan18}
\by Shengda Hu, Manuele Santoprete
\paper Suslov Problem with the Clebsch–Tisserand Potential
\jour Regul. Chaotic Dyn.
\yr 2018
\vol 23
\issue 2
\pages 193--211
\mathnet{http://mi.mathnet.ru/rcd318}
\crossref{https://doi.org/10.1134/S1560354718020053}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85045004653}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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