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Regular and Chaotic Dynamics, 2002, Volume 7, Issue 1, Pages 43–47
DOI: https://doi.org/10.1070/RD2002v007n01ABEH000194
(Mi rcd801)
 

This article is cited in 28 scientific papers (total in 28 papers)

Nonholonomic Systems

On the History of the Development of the Nonholonomic Dynamics

A. V. Borisova, I. S. Mamaevb

a Department of Theoretical Mechanics, Moscow State University, Vorob'ievy Gory, 119899, Moscow, Russia
b Laboratory of Dynamical Chaos and Nonlinearity, Udmurt State University, Universitetskaya, 1, 426034, Izhevsk, Russia
Citations (28)
Abstract: The main directions in the development of the nonholonomic dynamics are briefly considered in this paper. The first direction is connected with the general formalizm of the equations of dynamics that differs from the Lagrangian and Hamiltonian methods of the equations of motion's construction. The second direction, substantially more important for dynamics, includes investigations concerning the analysis of the specific nonholonomic problems. We also point out rather promising direction in development of nonholonomic systems that is connected with intensive use of the modern computer-aided methods.
Received: 09.11.2001
Bibliographic databases:
Document Type: Personalia
MSC: 70E18, 70E40
Language: English
Citation: A. V. Borisov, I. S. Mamaev, “On the History of the Development of the Nonholonomic Dynamics”, Regul. Chaotic Dyn., 7:1 (2002), 43–47
Citation in format AMSBIB
\Bibitem{BorMam02}
\by A. V. Borisov, I. S. Mamaev
\paper On the History of the Development of the Nonholonomic Dynamics
\jour Regul. Chaotic Dyn.
\yr 2002
\vol 7
\issue 1
\pages 43--47
\mathnet{http://mi.mathnet.ru/rcd801}
\crossref{https://doi.org/10.1070/RD2002v007n01ABEH000194}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1900053}
\zmath{https://zbmath.org/?q=an:1011.70002}
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  • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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