Lagrangian reduction of discrete mechanical systems by stages

Autores
Fernández, Javier; Tori, Cora Inés; Zuccalli, Marcela
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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
Materia
Matemática
Discrete mechanical systems
Geometric mechanics
Symmetry and reduction
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/86220
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/86220
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Lagrangian reduction of discrete mechanical systems by stagesFernández, JavierTori, Cora InésZuccalli, MarcelaMatemáticaDiscrete mechanical systemsGeometric mechanicsSymmetry and reductionIn 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 Exactas2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf35-70http://sedici.unlp.edu.ar/handle/10915/86220enginfo:eu-repo/semantics/altIdentifier/issn/1941-4889info:eu-repo/semantics/altIdentifier/doi/10.3934/jgm.2016.8.35info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T10:49:07Zoai:sedici.unlp.edu.ar:10915/86220Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:49:07.877SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Lagrangian reduction of discrete mechanical systems by stages
title Lagrangian reduction of discrete mechanical systems by stages
spellingShingle Lagrangian reduction of discrete mechanical systems by stages
Fernández, Javier
Matemática
Discrete mechanical systems
Geometric mechanics
Symmetry and reduction
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
dc.creator.none.fl_str_mv Fernández, Javier
Tori, Cora Inés
Zuccalli, Marcela
author Fernández, Javier
author_facet Fernández, Javier
Tori, Cora Inés
Zuccalli, Marcela
author_role author
author2 Tori, Cora Inés
Zuccalli, Marcela
author2_role author
author
dc.subject.none.fl_str_mv Matemática
Discrete mechanical systems
Geometric mechanics
Symmetry and reduction
topic Matemática
Discrete mechanical systems
Geometric mechanics
Symmetry and reduction
dc.description.none.fl_txt_mv 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
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.
publishDate 2016
dc.date.none.fl_str_mv 2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/86220
url http://sedici.unlp.edu.ar/handle/10915/86220
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1941-4889
info:eu-repo/semantics/altIdentifier/doi/10.3934/jgm.2016.8.35
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
35-70
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.13397

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