Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2017, Volume 13, Number 4, Pages 625–639
DOI: https://doi.org/10.20537/nd1704014 (Mi nd591) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the 75th birthday of A.P.Markeev

An inhomogeneous Chaplygin sleigh

A. V. Borisov, I. S. Mamaev

Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.20537/nd1704014
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.
Received: 02.06.2017
Accepted: 06.07.2017
Bibliographic databases:
Document Type: Article
UDC: 531.38
MSC: 37J60
Language: Russian
Citation: A. V. Borisov, I. S. Mamaev, “An inhomogeneous Chaplygin sleigh”, Nelin. Dinam., 13:4 (2017), 625–639
Citation in format AMSBIB
\Bibitem{BorMam17}
\by A.~V.~Borisov, I.~S.~Mamaev
\paper An inhomogeneous Chaplygin sleigh
\jour Nelin. Dinam.
\yr 2017
\vol 13
\issue 4
\pages 625--639
\mathnet{http://mi.mathnet.ru/nd591}
\crossref{https://doi.org/10.20537/nd1704014}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3741231}
\elib{https://elibrary.ru/item.asp?id=30780707}
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    This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Нелинейная динамика
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