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

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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.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, 141700, Russia

    Alexey V. Borisov

  2. Izhevsk State Technical University, Studencheskaya 7, Izhevsk, 426069, Russia

    Ivan S. Mamaev

  3. Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034, Russia

    Ivan A. Bizyaev

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  1. Alexey V. Borisov
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  2. Ivan S. Mamaev
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  3. Ivan A. Bizyaev
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Correspondence to Alexey V. Borisov.

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Borisov, A.V., Mamaev, I.S. & Bizyaev, I.A. Historical and critical review of the development of nonholonomic mechanics: the classical period. Regul. Chaot. Dyn. 21, 455–476 (2016). https://doi.org/10.1134/S1560354716040055

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  • DOI: https://doi.org/10.1134/S1560354716040055

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