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Nelin. Dinam., 2017, Volume 13, Number 4, Pages 625–639 (Mi nd591)  

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

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

DOI: https://doi.org/10.20537/nd1704014

Full text: PDF file (508 kB)
References: PDF file   HTML file

Document Type: Article
UDC: 531.38
MSC: 37J60
Received: 02.06.2017
Accepted:06.07.2017

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}
\elib{http://elibrary.ru/item.asp?id=30780707}


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  • Нелинейная динамика
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