Special Issue: Celebrating the 75th Birthday of V.V. Kozlov (Issue Editors: Sergey Bolotin, Vladimir Dragović, and Dmitry Treschev)

Infinite-Dimensional and Field-Theoretic Nonholonomic Mechanics

Anthony M. Bloch^a, Dmitry V. Zenkov<sup>b

a</sup> Department of Mathematics, University of Michigan, MI 48109 Ann Arbor, USA
^b Department of Mathematics, North Carolina State University, NC 27695 Raleigh, USA

Abstract: Nonholonomic systems are mechanical systems with ideal velocity constraints that are not derivable from position constraints and with dynamics identified by the Lagrange – d’Alembert principle. This paper reviews infinite-dimensional and field-theoretic nonholonomic systems as well as Hamel’s formalism for these settings.

Keywords: infinite-dimensional systems, Hamel's equations

MSC: 70F25, 37J60, 70H33

Received: 26.06.2025
Accepted: 15.07.2025

Language: English

DOI: 10.1134/S1560354725040069