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Nelin. Dinam., 2016, Volume 12, Number 3, Pages 385–411 (Mi nd534)  

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

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 dAlembertLagrange principle in nonholonomic mechanics and permutation relations.

Keywords: nonholonomic mechanics, nonholonomic constraint, dAlembertLagrange principle, permutation relations

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Russian Foundation for Basic Research 15-08-09261-
15-38-20879 __


DOI: https://doi.org/10.20537/nd1603007

Full text: PDF file (1944 kB)
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English version:
Regular and Chaotic Dynamics, 2016, 21:4, 455–476

Bibliographic databases:

Document Type: Article
UDC: 517.925
MSC: 37J60, 01A05
Received: 05.05.2016

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{http://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{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84980398123}


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