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Regular and Chaotic Dynamics, 2017, Volume 22, Issue 3, Pages 239–247
DOI: https://doi.org/10.1134/S1560354717030042 (Mi rcd254) 		 
This article is cited in 25 scientific papers (total in 25 papers)

The Inertial Motion of a Roller Racer

Ivan A. Bizyaev

Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Citations (25)
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DOI: https://doi.org/10.1134/S1560354717030042
Abstract: This paper addresses the problem of the inertial motion of a roller racer, which reduces to investigating a dynamical system on a (two-dimensional) torus and to classifying singular points on it. It is shown that the motion of the roller racer in absolute space is asymptotic. A restriction on the system parameters in which this motion is bounded (compact) is presented.
Keywords: roller racer, invariant measure, nonholonomic mechanics, scattering map.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation (project 14-50-00005).
Received: 29.03.2017
Accepted: 27.04.2017
Bibliographic databases:
Document Type: Article
MSC: 37J60, 37C10
Language: English
Citation: Ivan A. Bizyaev, “The Inertial Motion of a Roller Racer”, Regul. Chaotic Dyn., 22:3 (2017), 239–247
Citation in format AMSBIB
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\by Ivan A. Bizyaev
\paper The Inertial Motion of a {\it Roller Racer}
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 3
\pages 239--247
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85020165692}
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:234
    References:46
     
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