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Regular and Chaotic Dynamics, 2025, Volume 30, Issue 4, Pages 550–565
DOI: https://doi.org/10.1134/S1560354725040069 (Mi rcd1320) 		 
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. Blocha, Dmitry V. Zenkovb

a Department of Mathematics, University of Michigan, MI 48109 Ann Arbor, USA
b Department of Mathematics, North Carolina State University, NC 27695 Raleigh, USA
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DOI: https://doi.org/10.1134/S1560354725040069
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
Funding agency Grant number
National Science Foundation DMS-2103026
Air Force Office of Scientific Research FA9550-23-1-0215
FA9550-23-1-0400
This work was supported in part by NSF grant DMS-2103026 and AFOSR grants FA9550-23-1-0215 and FA9550-23-1-0400.
Received: 26.06.2025
Accepted: 15.07.2025
Document Type: Article
MSC: 70F25, 37J60, 70H33
Language: English
Citation: Anthony M. Bloch, Dmitry V. Zenkov, “Infinite-Dimensional and Field-Theoretic Nonholonomic Mechanics”, Regul. Chaotic Dyn., 30:4 (2025), 550–565
Citation in format AMSBIB
\Bibitem{BloZen25}
\by Anthony M. Bloch, Dmitry V. Zenkov
\paper Infinite-Dimensional and Field-Theoretic Nonholonomic Mechanics
\jour Regul. Chaotic Dyn.
\yr 2025
\vol 30
\issue 4
\pages 550--565
\mathnet{http://mi.mathnet.ru/rcd1320}
\crossref{https://doi.org/10.1134/S1560354725040069}
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