Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 3, Pages 569–583 (Mi nd344)  
This article is cited in 4 scientific papers (total in 4 papers)

On the Routh sphere

Ivan A. Bizyaeva, Andrey V. Tsiganovb

a Institute of Computer Science, Udmurt State University Universitetskaya 1, Izhevsk, 426034, Russia
b Saint-Petersburg State University Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia
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Abstract: We discuss an embedding of the vector field associated with the nonholonomic Routh sphere in subgroup of the commuting Hamiltonian vector fields associated with this system. We prove that the corresponding Poisson brackets are reduced to canonical ones in the region without of homoclinic trajectories.
Keywords: nonholonomic mechanics, Routh sphere, Poisson brackets.
Received: 28.07.2012
Revised: 29.09.2012
Document Type: Article
UDC: 532.5
MSC: 37J60, 37J35, 53D17, 70E18, 70F25, 70H45
Language: Russian
Citation: Ivan A. Bizyaev, Andrey V. Tsiganov, “On the Routh sphere”, Nelin. Dinam., 8:3 (2012), 569–583
Citation in format AMSBIB
\Bibitem{BizTsi12}
\by Ivan~A.~Bizyaev, Andrey~V.~Tsiganov
\paper On the Routh sphere
\jour Nelin. Dinam.
\yr 2012
\vol 8
\issue 3
\pages 569--583
\mathnet{http://mi.mathnet.ru/nd344}
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  • https://www.mathnet.ru/eng/nd/v8/i3/p569
    • 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
    		Нелинейная динамика
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