Non-holonomic Lagrangian systems in jet manifolds

, and

Published under licence by IOP Publishing Ltd
, , Citation Manuel de León et al 1997 J. Phys. A: Math. Gen. 30 1167 DOI 10.1088/0305-4470/30/4/018

Download Article PDF

Article metrics

154 Total downloads

Share this article

Author affiliations

1 Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain

2 Departamento de Matemática Fundamental, Facultad de Matemáticas, Universidad de la Laguna, La Laguna, Tenerife, Canary Islands, Spain

3 Departamento de Economía Aplicada Cuantitativa, Facultad de Ciencias Económicas y Empresariales, UNED, 28040 Madrid, Spain

Dates

  1. Received 3 June 1996

Buy this article in print

0305-4470/30/4/1167

Abstract

A geometrical setting in terms of jet manifolds is developed for time-dependent non-holonomic Lagrangian systems. An almost product structure on the evolution space is constructed in such a way that the constrained dynamics is obtained by projection of the free dynamics. A constrained Poincaré - Cartan 2-form is defined. If the non-holonomic system is singular, a constraint algorithm is constructed. Special attention is devoted to Caplygin systems and a reduction theorem is proved.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue
10.1088/0305-4470/30/4/018