Email this article Historical and critical review of the development of nonholonomic mechanics: the classical period
- Authors: Borisov A.V.1, Mamaev I.S.2, Bizyaev I.A.3
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Affiliations:
- Moscow Institute of Physics and Technology
- Izhevsk State Technical University
- Udmurt State University
- Issue: Vol 21, No 4 (2016)
- Pages: 455-476
- Section: Article
- URL: https://journals.rcsi.science/1560-3547/article/view/218345
- DOI: https://doi.org/10.1134/S1560354716040055
- ID: 218345
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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.
About the authors
Alexey V. Borisov
Moscow Institute of Physics and Technology
Author for correspondence.
Email: borisov@rcd.ru
Russian Federation, Institutskii per. 9, Dolgoprudnyi, 141700
Ivan S. Mamaev
Izhevsk State Technical University
Email: borisov@rcd.ru
Russian Federation, Studencheskaya 7, Izhevsk, 426069
Ivan A. Bizyaev
Udmurt State University
Email: borisov@rcd.ru
Russian Federation, ul. Universitetskaya 1, Izhevsk, 426034
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