Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 2, Pages 257–265 (Mi nd389)  
This article is cited in 2 scientific papers (total in 2 papers)

Integrability and stochastic behavior in some nonholonomic dynamics problems

Ivan A. Bizyaeva, Alexey O. Kazakovb

a Institute of Computer Science; Laboratory of nonlinear analysis and the design of new types of vehicles, Udmurt State University, Izhevsk, Russia
b Research Institute for Applied Mathematics and Cybernetics, Nizhnii Novgorod, Russia
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Abstract: In this paper, we investigate the dynamics of systems describing the rolling without slipping and spinning (rubber rolling) of an ellipsoid on a plane and a sphere. We research these problems using Poincaré maps, which investigation helps to discover a new integrable case.
Keywords: nonholonomic constraint, invariant measure, first integral, Poincaré map, integrability and chaos.
Received: 03.04.2013
Revised: 21.05.2013
Document Type: Article
UDC: 531.38
MSC: 37J60, 37J35
Language: Russian
Citation: Ivan A. Bizyaev, Alexey O. Kazakov, “Integrability and stochastic behavior in some nonholonomic dynamics problems”, Nelin. Dinam., 9:2 (2013), 257–265
Citation in format AMSBIB
\Bibitem{BizKaz13}
\by Ivan~A.~Bizyaev, Alexey~O.~Kazakov
\paper Integrability and stochastic behavior in some nonholonomic dynamics problems
\jour Nelin. Dinam.
\yr 2013
\vol 9
\issue 2
\pages 257--265
\mathnet{http://mi.mathnet.ru/nd389}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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