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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 036, 33 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.036 (Mi sigma162) 		 
This article is cited in 10 scientific papers (total in 10 papers)

A “User-Friendly” Approach to the Dynamical Equations of Non-Holonomic Systems

Sergio Benenti

Department of Mathematics, University of Turin, Italy
Full-text PDF (457 kB) Citations (10)
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DOI: https://doi.org/10.3842/SIGMA.2007.036
Abstract: Two effective methods for writing the dynamical equations for non-holonomic systems are illustrated. They are based on the two types of representation of the constraints: by parametric equations or by implicit equations. They can be applied to linear as well as to non-linear constraints. Only the basic notions of vector calculus on Euclidean 3-space and on tangent bundles are needed. Elementary examples are illustrated.
Keywords: non-holonomic systems; dynamical systems.
Received: November 29, 2006; in final form February 13, 2007; Published online March 1, 2007
Bibliographic databases:
Document Type: Article
MSC: 37J60; 70F25
Language: English
Citation: Sergio Benenti, “A “User-Friendly” Approach to the Dynamical Equations of Non-Holonomic Systems”, SIGMA, 3 (2007), 036, 33 pp.
Citation in format AMSBIB
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\paper A~``User-Friendly'' Approach to the Dynamical Equations of Non-Holonomic Systems
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\papernumber 036
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    • This publication is cited in the following 10 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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