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Regular and Chaotic Dynamics, 2017, Volume 22, Issue 4, Pages 435–447
DOI: https://doi.org/10.1134/S1560354717040062 (Mi rcd264) 		 
This article is cited in 13 scientific papers (total in 13 papers)

An Inhomogeneous Chaplygin Sleigh

Alexey V. Borisov, Ivan S. Mamaev

Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Citations (13)
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DOI: https://doi.org/10.1134/S1560354717040062
Abstract: In this paper we investigate the dynamics of a system that is a generalization of the Chaplygin sleigh to the case of an inhomogeneous nonholonomic constraint. We perform an explicit integration and a sufficiently complete qualitative analysis of the dynamics.
Keywords: Chaplygin sleigh, inhomogeneous nonholonomic constraints, conservation laws, qualitative analysis, resonance.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation (project 14-50-00005).
Received: 02.06.2017
Accepted: 06.07.2107
Bibliographic databases:
Document Type: Article
MSC: 37J60
Language: English
Citation: Alexey V. Borisov, Ivan S. Mamaev, “An Inhomogeneous Chaplygin Sleigh”, Regul. Chaotic Dyn., 22:4 (2017), 435–447
Citation in format AMSBIB
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\by Alexey V. Borisov, Ivan S. Mamaev
\paper An Inhomogeneous Chaplygin Sleigh
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 4
\pages 435--447
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  • https://www.mathnet.ru/eng/rcd/v22/i4/p435
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    This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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