Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 3, Pages 559–568 (Mi nd277)  
This article is cited in 6 scientific papers (total in 6 papers)

Two non-holonomic integrable systems of coupled rigid bodies

A. V. Borisovab, I. S. Mamaevba

a Udmurt State University, Universitetskaya 1, Izhevsk, 426034 Russia
b Institute of Computer Science, Universitetskaya 1, Izhevsk, 426034 Russia
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Abstract: The paper considers two new integrable systems due to Chaplygin, which describe the rolling of a spherical shell on a plane, with a ball or Lagranges gyroscope inside. All necessary first integrals and an invariant measure are found. The reduction to quadratures is given.
Keywords: non-holonomic constraint; integrability; invariant measure; gyroscope; quadrature; coupled rigid bodies.
Received: 26.08.2011
Revised: 14.09.2011
Document Type: Article
UDC: 532.5
MSC: 37J60
Language: Russian
Citation: A. V. Borisov, I. S. Mamaev, “Two non-holonomic integrable systems of coupled rigid bodies”, Nelin. Dinam., 7:3 (2011), 559–568
Citation in format AMSBIB
\Bibitem{BorMam11}
\by A.~V.~Borisov, I.~S.~Mamaev
\paper Two non-holonomic integrable systems of coupled rigid bodies
\jour Nelin. Dinam.
\yr 2011
\vol 7
\issue 3
\pages 559--568
\mathnet{http://mi.mathnet.ru/nd277}
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  • https://www.mathnet.ru/eng/nd/v7/i3/p559
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Нелинейная динамика
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