Lagrangian reduction of nonholonomic discrete mechanical systems

Autores
Fernández, Javier; Tori, Cora Ines; Zuccalli, Marcela
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we propose a process of lagrangian reduction and
reconstruction for nonholonomic discrete mechanical systems where the action of a continuous symmetry group makes the configuration space a principal bundle. The result of the reduction process is a discrete dynamical system that we call the discrete reduced system. We illustrate the techniques by analyzing two types of discrete symmetric systems where it is possible to go further and obtain (forced) discrete mechanical systems that determine the dynamics of the discrete reduced system.
Fil: Fernández, Javier. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Tori, Cora Ines. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Zuccalli, Marcela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Materia
GEOMETRIC MECHANICS
DISCRETE MECHANICAL SYSTEM
REDUCTION
NONHOLONOMIC MECHANICS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/121767
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/121767
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Lagrangian reduction of nonholonomic discrete mechanical systemsFernández, JavierTori, Cora InesZuccalli, MarcelaGEOMETRIC MECHANICSDISCRETE MECHANICAL SYSTEMREDUCTIONNONHOLONOMIC MECHANICShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we propose a process of lagrangian reduction and<br />reconstruction for nonholonomic discrete mechanical systems where the action of a continuous symmetry group makes the configuration space a principal bundle. The result of the reduction process is a discrete dynamical system that we call the discrete reduced system. We illustrate the techniques by analyzing two types of discrete symmetric systems where it is possible to go further and obtain (forced) discrete mechanical systems that determine the dynamics of the discrete reduced system.Fil: Fernández, Javier. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Tori, Cora Ines. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: Zuccalli, Marcela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaAmerican Institute of Mathematical Sciences2010-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/121767Fernández, Javier; Tori, Cora Ines; Zuccalli, Marcela; Lagrangian reduction of nonholonomic discrete mechanical systems; American Institute of Mathematical Sciences; Journal of Geometric Mechanics; 2; 1; 3-2010; 69-1111941-4889CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3934/jgm.2010.2.69info:eu-repo/semantics/altIdentifier/url/http://www.aimsciences.org/article/doi/10.3934/jgm.2010.2.69info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:40:02Zoai:ri.conicet.gov.ar:11336/121767instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 14:40:02.924CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Lagrangian reduction of nonholonomic discrete mechanical systems
title Lagrangian reduction of nonholonomic discrete mechanical systems
spellingShingle Lagrangian reduction of nonholonomic discrete mechanical systems
Fernández, Javier
GEOMETRIC MECHANICS
DISCRETE MECHANICAL SYSTEM
REDUCTION
NONHOLONOMIC MECHANICS
title_short Lagrangian reduction of nonholonomic discrete mechanical systems
title_full Lagrangian reduction of nonholonomic discrete mechanical systems
title_fullStr Lagrangian reduction of nonholonomic discrete mechanical systems
title_full_unstemmed Lagrangian reduction of nonholonomic discrete mechanical systems
title_sort Lagrangian reduction of nonholonomic discrete mechanical systems
dc.creator.none.fl_str_mv Fernández, Javier
Tori, Cora Ines
Zuccalli, Marcela
author Fernández, Javier
author_facet Fernández, Javier
Tori, Cora Ines
Zuccalli, Marcela
author_role author
author2 Tori, Cora Ines
Zuccalli, Marcela
author2_role author
author
dc.subject.none.fl_str_mv GEOMETRIC MECHANICS
DISCRETE MECHANICAL SYSTEM
REDUCTION
NONHOLONOMIC MECHANICS
topic GEOMETRIC MECHANICS
DISCRETE MECHANICAL SYSTEM
REDUCTION
NONHOLONOMIC MECHANICS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we propose a process of lagrangian reduction and<br />reconstruction for nonholonomic discrete mechanical systems where the action of a continuous symmetry group makes the configuration space a principal bundle. The result of the reduction process is a discrete dynamical system that we call the discrete reduced system. We illustrate the techniques by analyzing two types of discrete symmetric systems where it is possible to go further and obtain (forced) discrete mechanical systems that determine the dynamics of the discrete reduced system.
Fil: Fernández, Javier. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Tori, Cora Ines. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Zuccalli, Marcela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
description In this paper we propose a process of lagrangian reduction and<br />reconstruction for nonholonomic discrete mechanical systems where the action of a continuous symmetry group makes the configuration space a principal bundle. The result of the reduction process is a discrete dynamical system that we call the discrete reduced system. We illustrate the techniques by analyzing two types of discrete symmetric systems where it is possible to go further and obtain (forced) discrete mechanical systems that determine the dynamics of the discrete reduced system.
publishDate 2010
dc.date.none.fl_str_mv 2010-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/121767
Fernández, Javier; Tori, Cora Ines; Zuccalli, Marcela; Lagrangian reduction of nonholonomic discrete mechanical systems; American Institute of Mathematical Sciences; Journal of Geometric Mechanics; 2; 1; 3-2010; 69-111
1941-4889
CONICET Digital
CONICET
url http://hdl.handle.net/11336/121767
identifier_str_mv Fernández, Javier; Tori, Cora Ines; Zuccalli, Marcela; Lagrangian reduction of nonholonomic discrete mechanical systems; American Institute of Mathematical Sciences; Journal of Geometric Mechanics; 2; 1; 3-2010; 69-111
1941-4889
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3934/jgm.2010.2.69
info:eu-repo/semantics/altIdentifier/url/http://www.aimsciences.org/article/doi/10.3934/jgm.2010.2.69
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.22299

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