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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 2, Pages 201–212
DOI: https://doi.org/10.1070/RD2003v008n02ABEH000237 (Mi rcd777) 		 
This article is cited in 49 scientific papers (total in 50 papers)

Dynamics of rolling disk

A. V. Borisov, I. S. Mamaev, A. A. Kilin

Institute of Computer Science, Universitetskaya, 1, 426034, Izhevsk, Russia
Citations (50)
DOI: https://doi.org/10.1070/RD2003v008n02ABEH000237
Abstract: In the paper we present the qualitative analysis of rolling motion without slipping of a homogeneous round disk on a horisontal plane. The problem was studied by S.A. Chaplygin, P. Appel and D. Korteweg who showed its integrability. The behavior of the point of contact on a plane is investigated and conditions under which its trajectory is finit are obtained. The bifurcation diagrams are constructed.
Received: 22.08.2002
Bibliographic databases:
Document Type: Article
MSC: 37J60, 37J35, 70G45
Language: English
Citation: A. V. Borisov, I. S. Mamaev, A. A. Kilin, “Dynamics of rolling disk”, Regul. Chaotic Dyn., 8:2 (2003), 201–212
Citation in format AMSBIB
\Bibitem{BorMamKil03}
\by A. V. Borisov, I. S. Mamaev, A. A. Kilin
\paper Dynamics of rolling disk
\jour Regul. Chaotic Dyn.
\yr 2003
\vol 8
\issue 2
\pages 201--212
\mathnet{http://mi.mathnet.ru/rcd777}
\crossref{https://doi.org/10.1070/RD2003v008n02ABEH000237}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1988860}
\zmath{https://zbmath.org/?q=an:1112.37320}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RCD.....8..201B}
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    • This publication is cited in the following 50 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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