Infinite-Dimensional and Field-Theoretic Nonholonomic Mechanics

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.

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Publication Details

Journal
Regular and Chaotic Dynamics
Published
2025-08-01
DOI
https://doi.org/10.1134/s1560354725040069
Primary Topic
Control and Dynamics of Mobile Robots
Type
article
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article

Infinite-Dimensional and Field-Theoretic Nonholonomic Mechanics

Dmitry V. Zenkov, Anthony M. Bloch
Regular and Chaotic Dynamics
Control and Dynamics of Mobile Robots
article

Infinite-Dimensional and Field-Theoretic Nonholonomic Mechanics

Dmitry V. Zenkov, Anthony M. Bloch
article en

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.

Regular and Chaotic DynamicsVol. 30(4)
North Carolina State University (US), University of Michigan (US)
Openalex Percentile: Top 75%
Control and Dynamics of Mobile Robots
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Infinite-Dimensional and Field-Theoretic Nonholonomic Mechanics — Dmitry V. Zenkov, Anthony M. Bloch · Regular and Chaotic Dynamics (2025) | TGRS Research Map | TGRS