Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2016, Volume 12, Number 3, Pages 385–411
DOI: https://doi.org/10.20537/nd1603007 (Mi nd534) 		 
This article is cited in 21 scientific papers (total in 21 papers)

Translated papers

Historical and critical review of the development of nonholonomic mechanics: the classical period

A. V. Borisova, I. S. Mamaevbc, I. A. Bizyaevc

a Moscow Institute of Physics and Technology, Institutskiy per. 9, Dolgoprudny, Moscow, 141700, Russia
b Institute of Mathematics and Mechanics of the Ural Branch of RAS, ul. S.Kovalevskoi 16, Ekaterinburg, 620990, Russia
c Udmurt State University, Universitetskaya 1, Izhevsk, 426034, Russia
Full-text PDF (1944 kB) Citations (21)
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DOI: https://doi.org/10.20537/nd1603007
Abstract: In this historical review we describe in detail the main stages of the development of nonholonomic mechanics starting from the work of Earnshaw and Ferrers to the monograph of Yu.I. Neimark and N.A. Fufaev. In the appendix to this review we discuss the d’Alembert–Lagrange principle in nonholonomic mechanics and permutation relations.
Keywords: nonholonomic mechanics, nonholonomic constraint, d’Alembert–Lagrange principle, permutation relations.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Foundation for Basic Research 15-08-09261-à
15-38-20879 ìîë_à_âåä
Received: 05.05.2016
Accepted: 22.06.2016
English version:
Regular and Chaotic Dynamics, 2016, Volume 21, Issue 4, Pages 455–476
DOI: https://doi.org/10.1134/S1560354716040055
Bibliographic databases:
Document Type: Article
UDC: 517.925
MSC: 37J60, 01A05
Language: Russian
Citation: A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “Historical and critical review of the development of nonholonomic mechanics: the classical period”, Nelin. Dinam., 12:3 (2016), 385–411; Regular and Chaotic Dynamics, 21:4 (2016), 455–476
Citation in format AMSBIB
\Bibitem{BorMamBiz16}
\by A.~V.~Borisov, I.~S.~Mamaev, I.~A.~Bizyaev
\paper Historical and critical review of the development of nonholonomic mechanics: the classical period
\jour Nelin. Dinam.
\yr 2016
\vol 12
\issue 3
\pages 385--411
\mathnet{http://mi.mathnet.ru/nd534}
\crossref{https://doi.org/10.20537/nd1603007}
\zmath{https://zbmath.org/?q=an:1352.37172}
\elib{https://elibrary.ru/item.asp?id=27328721}
\transl
\jour Regular and Chaotic Dynamics
\yr 2016
\vol 21
\issue 4
\pages 455--476
\crossref{https://doi.org/10.1134/S1560354716040055}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84980398123}
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  • https://www.mathnet.ru/eng/nd/v12/i3/p385
    Translation
    This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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