Solving non-holonomic Lagrangian dynamics in terms of almost product structures.

Manuel de León; David Martín de Diego

Solving non-holonomic Lagrangian dynamics in terms of almost product structures.

Manuel de León; David Martín de Diego

Extracta Mathematicae (1996)

Volume: 11, Issue: 2, page 325-347
ISSN: 0213-8743

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Abstract

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Given a Lagrangian system with non-holonomic constraints we construct an almost product structure on the tangent bundle of the configuration manifold such that the projection of the Euler-Lagrange vector field gives the dynamics of the system. In a degenerate case, we develop a constraint algorithm which determines a final constraint submanifold where a completely consistent dynamics of the initial system exists.

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León, Manuel de, and Martín de Diego, David. "Solving non-holonomic Lagrangian dynamics in terms of almost product structures.." Extracta Mathematicae 11.2 (1996): 325-347. <http://eudml.org/doc/38457>.

@article{León1996,
abstract = {Given a Lagrangian system with non-holonomic constraints we construct an almost product structure on the tangent bundle of the configuration manifold such that the projection of the Euler-Lagrange vector field gives the dynamics of the system. In a degenerate case, we develop a constraint algorithm which determines a final constraint submanifold where a completely consistent dynamics of the initial system exists.},
author = {León, Manuel de, Martín de Diego, David},
journal = {Extracta Mathematicae},
keywords = {Sistemas no holonómicos; Ecuaciones de Lagrange; Espacio fibrado; Cálculo de variaciones; Sistemas dinámicos; Lagrangian system; nonholonomic constraints; almost product structure},
language = {eng},
number = {2},
pages = {325-347},
title = {Solving non-holonomic Lagrangian dynamics in terms of almost product structures.},
url = {http://eudml.org/doc/38457},
volume = {11},
year = {1996},
}

TY - JOUR
AU - León, Manuel de
AU - Martín de Diego, David
TI - Solving non-holonomic Lagrangian dynamics in terms of almost product structures.
JO - Extracta Mathematicae
PY - 1996
VL - 11
IS - 2
SP - 325
EP - 347
AB - Given a Lagrangian system with non-holonomic constraints we construct an almost product structure on the tangent bundle of the configuration manifold such that the projection of the Euler-Lagrange vector field gives the dynamics of the system. In a degenerate case, we develop a constraint algorithm which determines a final constraint submanifold where a completely consistent dynamics of the initial system exists.
LA - eng
KW - Sistemas no holonómicos; Ecuaciones de Lagrange; Espacio fibrado; Cálculo de variaciones; Sistemas dinámicos; Lagrangian system; nonholonomic constraints; almost product structure
UR - http://eudml.org/doc/38457
ER -

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