Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 4, Pages 711–719 (Mi nd416)  
This article is cited in 1 scientific paper (total in 1 paper)

On the absolute dynamics of the Chaplygin ball

Andrey V. Tsiganov

Saint-Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia
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Abstract: We discuss an application of the Lie integrability theorem to the nonholonomic system describing the rolling of a dynamically balanced ball on horizontal absolutely rough table without slipping or sliding.
Keywords: nonholonomic mechanics, integrable systems, Poisson geometry.
Received: 11.11.2012
Revised: 04.12.2012
Document Type: Article
UDC: 531.38
MSC: 70E18, 37J60, 37J35
Language: Russian
Citation: Andrey V. Tsiganov, “On the absolute dynamics of the Chaplygin ball”, Nelin. Dinam., 9:4 (2013), 711–719
Citation in format AMSBIB
\Bibitem{Tsi13}
\by Andrey~V.~Tsiganov
\paper On the absolute dynamics of the Chaplygin ball
\jour Nelin. Dinam.
\yr 2013
\vol 9
\issue 4
\pages 711--719
\mathnet{http://mi.mathnet.ru/nd416}
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  • https://www.mathnet.ru/eng/nd/v9/i4/p711
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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