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Regular and Chaotic Dynamics, 2013, Volume 18, Issue 1-2, Pages 159–165
DOI: https://doi.org/10.1134/S1560354713010115 (Mi rcd102) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On the Motion of a Mechanical System Inside a Rolling Ball

S. V. Bolotinab, T. V. Popovac

a University of Wisconsin–Madison, 480 Lincoln Dr., Madison, WI 53706-1325, USA
b V. A. Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina 8, Moscow, 119991 Russia
c M. V. Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991 Russia
Citations (12)
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DOI: https://doi.org/10.1134/S1560354713010115
Abstract: We consider a mechanical system inside a rolling ball and show that if the constraints have spherical symmetry, the equations of motion have Lagrangian form. Without symmetry, this is not true.
Keywords: nonholonomic constraint, rolling ball, Lagrange equations, Hamilton principle.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 11.G34.31.0039
This research was done at the Udmurt State University and was supported by the Grant Program of the Government of the Russian Federation for state support of scientific research conducted under the supervision of leading scientists at Russian institutions of higher professional education (Contract ¹11.G34.31.0039). Also supported by the Programme “Dynamical Systems and Control Theory”.
Received: 12.12.2012
Accepted: 16.01.2013
Bibliographic databases:
Document Type: Article
MSC: 37J60, 70H03, 70E18
Language: English
Citation: S. V. Bolotin, T. V. Popova, “On the Motion of a Mechanical System Inside a Rolling Ball”, Regul. Chaotic Dyn., 18:1-2 (2013), 159–165
Citation in format AMSBIB
\Bibitem{BolPop13}
\by S. V. Bolotin, T. V. Popova
\paper On the Motion of a Mechanical System Inside a Rolling Ball
\jour Regul. Chaotic Dyn.
\yr 2013
\vol 18
\issue 1-2
\pages 159--165
\mathnet{http://mi.mathnet.ru/rcd102}
\crossref{https://doi.org/10.1134/S1560354713010115}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3040989}
\zmath{https://zbmath.org/?q=an:1303.37020}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000317623400011}
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  • https://www.mathnet.ru/eng/rcd/v18/i1/p159
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:212
    References:54
     
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