Non-holonomic mechanical systems in jet bundles.

Manuel de León; David Martín de Diego

Extracta Mathematicae (1996)

  • Volume: 11, Issue: 1, page 127-139
  • ISSN: 0213-8743

Abstract

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In this paper we present a geometrical formulation for Lagrangian systems subjected to non-holonomic constraints in terms of jet bundles. Cosymplectic geometry and almost product structures are used to obtained the constrained dynamics without using Lagrange multipliers method.

How to cite

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León, Manuel de, and Martín de Diego, David. "Non-holonomic mechanical systems in jet bundles.." Extracta Mathematicae 11.1 (1996): 127-139. <http://eudml.org/doc/38479>.

@article{León1996,
abstract = {In this paper we present a geometrical formulation for Lagrangian systems subjected to non-holonomic constraints in terms of jet bundles. Cosymplectic geometry and almost product structures are used to obtained the constrained dynamics without using Lagrange multipliers method.},
author = {León, Manuel de, Martín de Diego, David},
journal = {Extracta Mathematicae},
keywords = {Sistemas dinámicos; Ecuaciones de Lagrange; Sistemas no holonómicos; Espacio fibrado; Geometría diferencial; distributions on configuration manifold; constraint algorithm; Chaplygin systems; nonholonomic geometry},
language = {eng},
number = {1},
pages = {127-139},
title = {Non-holonomic mechanical systems in jet bundles.},
url = {http://eudml.org/doc/38479},
volume = {11},
year = {1996},
}

TY - JOUR
AU - León, Manuel de
AU - Martín de Diego, David
TI - Non-holonomic mechanical systems in jet bundles.
JO - Extracta Mathematicae
PY - 1996
VL - 11
IS - 1
SP - 127
EP - 139
AB - In this paper we present a geometrical formulation for Lagrangian systems subjected to non-holonomic constraints in terms of jet bundles. Cosymplectic geometry and almost product structures are used to obtained the constrained dynamics without using Lagrange multipliers method.
LA - eng
KW - Sistemas dinámicos; Ecuaciones de Lagrange; Sistemas no holonómicos; Espacio fibrado; Geometría diferencial; distributions on configuration manifold; constraint algorithm; Chaplygin systems; nonholonomic geometry
UR - http://eudml.org/doc/38479
ER -

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