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Regular and Chaotic Dynamics, 2016, Volume 21, Issue 4, Pages 455–476
DOI: https://doi.org/10.1134/S1560354716040055 (Mi rcd88) 		 
This article is cited in 25 scientific papers (total in 25 papers)

Historical and Critical Review of the Development of Nonholonomic Mechanics: the Classical Period

Alexey V. Borisova, Ivan S. Mamaevb, Ivan A. Bizyaevc

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, 141700 Russia
b Izhevsk State Technical University Studencheskaya 7, Izhevsk, 426069 Russia
c Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
Citations (25)
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DOI: https://doi.org/10.1134/S1560354716040055
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
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 15-08-09261-a
15-38-20879 mol a ved
Russian Science Foundation 14-19-01303
The work of A.V.Borisov (Introduction and Sections 3, 4) was carried out within the framework of the state assignment for institutions of higher education and supported by the RFBR grant No. 15-08-09261-a. Appendix was prepared by I. S. Mamaev under the RSF grant No. 14-19-01303. Sections 1 and 2 were written by I.A.Bizyaev within the framework of the state assignment for institutions of higher education and supported by the RFBR grant No. 15-38-20879 mol a ved.
Bibliographic databases:
Document Type: Article
MSC: 37J60, 01A05
Language: English
Citation: Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev, “Historical and Critical Review of the Development of Nonholonomic Mechanics: the Classical Period”, Regul. Chaotic Dyn., 21:4 (2016), 455–476
Citation in format AMSBIB
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\by Alexey~V.~Borisov, Ivan~S.~Mamaev, Ivan~A.~Bizyaev
\paper Historical and Critical Review of the Development of Nonholonomic Mechanics: the Classical Period
\jour Regul. Chaotic Dyn.
\yr 2016
\vol 21
\issue 4
\pages 455--476
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\crossref{https://doi.org/10.1134/S1560354716040055}
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    This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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