Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 1, Pages 103–111 (Mi nd306)  
This article is cited in 4 scientific papers (total in 4 papers)

The dynamics of the Chaplygin ball with a fluid-filled cavity

A. V. Borisov, I. S. Mamaev

Institute of Computer Science, Udmurt State University Universitetskaya 1, Izhevsk, 426034 Russia
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Abstract: We consider the problem of rolling of a ball with an ellipsoidal cavity filled with an ideal fluid, which executes a uniform vortex motion, on an absolutely rough plane. We point out the case of existence of an invariant measure and show that there is a particular case of integrability under conditions of axial symmetry
Keywords: vortex motion, non-holonomic constraint, Chaplygin ball, invariant measure, integrability, rigid body, ideal fluid.
Received: 25.11.2011
Accepted: 18.01.2012
Document Type: Article
UDC: 531.7
MSC: 70E18, 76B47
Language: Russian
Citation: A. V. Borisov, I. S. Mamaev, “The dynamics of the Chaplygin ball with a fluid-filled cavity”, Nelin. Dinam., 8:1 (2012), 103–111
Citation in format AMSBIB
\Bibitem{BorMam12}
\by A.~V.~Borisov, I.~S.~Mamaev
\paper The dynamics of the Chaplygin ball with a fluid-filled cavity
\jour Nelin. Dinam.
\yr 2012
\vol 8
\issue 1
\pages 103--111
\mathnet{http://mi.mathnet.ru/nd306}
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  • https://www.mathnet.ru/eng/nd/v8/i1/p103
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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