Lagrangian reduction of discrete mechanical systems by stages

In this work we introduce a category of discrete Lagrange{Poincare systems £ β d and study some of its properties. In particular, we show that the discrete mechanical systems and the discrete dynamical systems obtained by the Lagrangian reduction of symmetric discrete mechanical systems are objects...

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Autores principales: Fernández, Javier, Tori, Cora Inés, Zuccalli, Marcela
Formato: Articulo
Lenguaje:Inglés
Publicado: 2016
Materias:
Matemática
Discrete mechanical systems
Geometric mechanics
Symmetry and reduction
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/86220
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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-86220
record_format dspace
spelling I19-R120-10915-862202024-07-11T14:22:29Z http://sedici.unlp.edu.ar/handle/10915/86220 Lagrangian reduction of discrete mechanical systems by stages Fernández, Javier Tori, Cora Inés Zuccalli, Marcela 2016 2019-11-27T18:38:09Z en Matemática Discrete mechanical systems Geometric mechanics Symmetry and reduction In this work we introduce a category of discrete Lagrange{Poincare systems £ β d and study some of its properties. In particular, we show that the discrete mechanical systems and the discrete dynamical systems obtained by the Lagrangian reduction of symmetric discrete mechanical systems are objects in We introduce a notion of symmetry group for objects of £ βd as well as a reduction procedure that is closed in the category Furthermore, under some conditions, we show that the reduction in two steps (first by a closed normal subgroup of the symmetry group and then by the residual symmetry group) is isomorphic in LPd to the reduction by the full symmetry group. Facultad de Ciencias Exactas Articulo Articulo http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf 35-70
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Discrete mechanical systems
Geometric mechanics
Symmetry and reduction
spellingShingle Matemática
Discrete mechanical systems
Geometric mechanics
Symmetry and reduction
Fernández, Javier
Tori, Cora Inés
Zuccalli, Marcela
Lagrangian reduction of discrete mechanical systems by stages
topic_facet Matemática
Discrete mechanical systems
Geometric mechanics
Symmetry and reduction
description In this work we introduce a category of discrete Lagrange{Poincare systems £ β d and study some of its properties. In particular, we show that the discrete mechanical systems and the discrete dynamical systems obtained by the Lagrangian reduction of symmetric discrete mechanical systems are objects in We introduce a notion of symmetry group for objects of £ βd as well as a reduction procedure that is closed in the category Furthermore, under some conditions, we show that the reduction in two steps (first by a closed normal subgroup of the symmetry group and then by the residual symmetry group) is isomorphic in LPd to the reduction by the full symmetry group.
format Articulo
Articulo
author Fernández, Javier
Tori, Cora Inés
Zuccalli, Marcela
author_facet Fernández, Javier
Tori, Cora Inés
Zuccalli, Marcela
author_sort Fernández, Javier
title Lagrangian reduction of discrete mechanical systems by stages
title_short Lagrangian reduction of discrete mechanical systems by stages
title_full Lagrangian reduction of discrete mechanical systems by stages
title_fullStr Lagrangian reduction of discrete mechanical systems by stages
title_full_unstemmed Lagrangian reduction of discrete mechanical systems by stages
title_sort lagrangian reduction of discrete mechanical systems by stages
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/86220
work_keys_str_mv AT fernandezjavier lagrangianreductionofdiscretemechanicalsystemsbystages
AT toricoraines lagrangianreductionofdiscretemechanicalsystemsbystages
AT zuccallimarcela lagrangianreductionofdiscretemechanicalsystemsbystages
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