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Regular and Chaotic Dynamics, 2001, Volume 6, Issue 3, Pages 291–306
DOI: https://doi.org/10.1070/RD2001v006n03ABEH000178 (Mi rcd846) 		 
This article is cited in 68 scientific papers (total in 68 papers)

The Dynamics of Chaplygin Ball: the Qualitative and Computer Analysis

A. A. Kilin

Laboratory of Dynamical Chaos and Nonlinearity, Udmurt State University, Universitetskaya, 1, 426034, Izhevsk, Russia
Citations (68)
DOI: https://doi.org/10.1070/RD2001v006n03ABEH000178
Abstract: The motion of Chaplygin ball with and without gyroscope in the absolute space is analyzed. In particular, the trajectories of the point of contact are studied in detail. We discuss the motions in the absolute space, that correspond to the different types of motion in the moving frame of reference related to the body. The existence of the bounded trajectories of the ball's motion is shown by means of numerical methods in the case when the problem is reduced to a certain Hamiltonian system.
Received: 03.06.2001
Bibliographic databases:
Document Type: Article
MSC: 70E18
Language: English
Citation: A. A. Kilin, “The Dynamics of Chaplygin Ball: the Qualitative and Computer Analysis”, Regul. Chaotic Dyn., 6:3 (2001), 291–306
Citation in format AMSBIB
\Bibitem{Kil01}
\by A. A. Kilin
\paper The Dynamics of Chaplygin Ball: the Qualitative and Computer Analysis
\jour Regul. Chaotic Dyn.
\yr 2001
\vol 6
\issue 3
\pages 291--306
\mathnet{http://mi.mathnet.ru/rcd846}
\crossref{https://doi.org/10.1070/RD2001v006n03ABEH000178}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1860148}
\zmath{https://zbmath.org/?q=an:1074.70513}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2001RCD.....6..291K}
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