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Regular and Chaotic Dynamics, 2011, Volume 16, Issue 1-2, Pages 104–116
DOI: https://doi.org/10.1134/S1560354711010035 (Mi rcd430) 		 
This article is cited in 41 scientific papers (total in 41 papers)

Hamiltonicity and integrability of the Suslov problem

Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev

Institute of Computer Science, Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
Citations (41)
DOI: https://doi.org/10.1134/S1560354711010035
Abstract: The Hamiltonian representation and integrability of the nonholonomic Suslov problem and its generalization suggested by S. A. Chaplygin are considered. This subject is important for understanding the qualitative features of the dynamics of this system, being in particular related to a nontrivial asymptotic behavior (i. e., to a certain scattering problem). A general approach based on studying a hierarchy in the dynamical behavior of nonholonomic systems is developed.
Keywords: Hamiltonian system, Poisson bracket, nonholonomic constraint, invariant measure, integrability.
Received: 09.10.2010
Accepted: 30.11.2010
Bibliographic databases:
Document Type: Article
MSC: 34D20, 70E40, 37J35
Language: English
Citation: Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Hamiltonicity and integrability of the Suslov problem”, Regul. Chaotic Dyn., 16:1-2 (2011), 104–116
Citation in format AMSBIB
\Bibitem{BorKilMam11}
\by Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev
\paper Hamiltonicity and integrability of the Suslov problem
\jour Regul. Chaotic Dyn.
\yr 2011
\vol 16
\issue 1-2
\pages 104--116
\mathnet{http://mi.mathnet.ru/rcd430}
\crossref{https://doi.org/10.1134/S1560354711010035}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2774382}
\zmath{https://zbmath.org/?q=an:1277.70008}
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    • This publication is cited in the following 41 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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