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Towards a Hamilton–Jacobi theory for nonholonomic mechanical systems*

David Iglesias-Ponte, Manuel de León and David Martín de Diego

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In this paper, we obtain a Hamilton–Jacobi theory for nonholonomic mechanical systems. The results are applied to a large class of nonholonomic mechanical systems, the so-called Čaplygin systems.


Footnote
*  This work has been partially supported by MEC (Spain) grants MTM 2004-7832, S-0505/ESP/0158 of the CAM and 'Ingenio Mathematica' (i-MATH) no CSD 2006-00032 (Consolider-Ingenio 2010). D Iglesias acknowledges Ministry of Education and Science for a 'Juan de la Cierva' research contract.
PACS

45.20.Jj Lagrangian and Hamiltonian mechanics

MSC

70H20 Hamilton-Jacobi equations

70F25 Nonholonomic systems

Subjects

Mathematical physics

Dates

Issue 1 (11 January 2008)

Received 11 April 2007, in final form 22 October 2007

Published 12 December 2007



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