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.
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.
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
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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
\mathnet{http://mi.mathnet.ru/rcd88}
\crossref{https://doi.org/10.1134/S1560354716040055}
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