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SIGMA 3 (2007), 036, 33 pages math.DS/0703043
https://doi.org/10.3842/SIGMA.2007.036
Contribution to the Vadim Kuznetsov Memorial Issue
A 'User-Friendly' Approach to the Dynamical Equations of Non-Holonomic Systems
Sergio Benenti
Department of Mathematics, University of Turin, Italy
Received November 29, 2006, in final form February 13, 2007; Published online March 01, 2007
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.
Key words:
non-holonomic systems; dynamical systems.
pdf (457 kb)
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