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

    2016, Volume 21, Number 4, pp.  455-476

    Author(s): Borisov A. V., Mamaev I. S., Bizyaev I. A.

    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
    Citation: Borisov A. V., Mamaev I. S., Bizyaev I. A., Historical and Critical Review of the Development of Nonholonomic Mechanics: the Classical Period, Regular and Chaotic Dynamics, 2016, Volume 21, Number 4, pp. 455-476
    DOI: 10.1134/S1560354716040055



    Access to the full text on the Springer website