Lagrangian reduction of generalized nonholonomic systems

Autores
Cendra, Hernan; Ferraro, Sebastián José; Grillo, Sergio Daniel
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we study the Lagrangian reduction of generalized nonholonomic systems (GNHS) with symmetry. We restrict ourselves to those GNHS, defined on a configuration space Q, with kinematic constraints given by a general submanifold CK ⊂ T Q, and variational constraints given by a distribution CV on Q. We develop a reduction procedure that is similar to that for nonholonomic systems satisfying d'Alembert's principle, i.e. with CK a distribution and CV = CK. Special care is taken in identifying the geometrical structures and mappings involved. We illustrate the general theory with an example.
Fil: Cendra, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur; Argentina
Fil: Ferraro, Sebastián José. Universidad Nacional del Sur; Argentina. Instituto de Ciencias Matemáticas; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Grillo, Sergio Daniel. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Universidad Nacional de la Patagonia; Argentina
Materia
CONSTRAINED LAGRANGIAN SYSTEMS
LAGRANGIAN REDUCTION
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:11336/73969
Acceder
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spelling Lagrangian reduction of generalized nonholonomic systemsCendra, HernanFerraro, Sebastián JoséGrillo, Sergio DanielCONSTRAINED LAGRANGIAN SYSTEMSLAGRANGIAN REDUCTIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we study the Lagrangian reduction of generalized nonholonomic systems (GNHS) with symmetry. We restrict ourselves to those GNHS, defined on a configuration space Q, with kinematic constraints given by a general submanifold CK ⊂ T Q, and variational constraints given by a distribution CV on Q. We develop a reduction procedure that is similar to that for nonholonomic systems satisfying d'Alembert's principle, i.e. with CK a distribution and CV = CK. Special care is taken in identifying the geometrical structures and mappings involved. We illustrate the general theory with an example.Fil: Cendra, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur; ArgentinaFil: Ferraro, Sebastián José. Universidad Nacional del Sur; Argentina. Instituto de Ciencias Matemáticas; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; ArgentinaFil: Grillo, Sergio Daniel. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Universidad Nacional de la Patagonia; ArgentinaElsevier Science2008-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/73969Cendra, Hernan; Ferraro, Sebastián José; Grillo, Sergio Daniel; Lagrangian reduction of generalized nonholonomic systems; Elsevier Science; Journal Of Geometry And Physics; 58; 10; 10-2008; 1271-12900393-0440CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.geomphys.2008.05.002info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0393044008000818info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:17:32Zoai:ri.conicet.gov.ar:11336/73969instacron: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:34982025-09-10 13:17:33.027CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Lagrangian reduction of generalized nonholonomic systems
title Lagrangian reduction of generalized nonholonomic systems
spellingShingle Lagrangian reduction of generalized nonholonomic systems
Cendra, Hernan
CONSTRAINED LAGRANGIAN SYSTEMS
LAGRANGIAN REDUCTION
title_short Lagrangian reduction of generalized nonholonomic systems
title_full Lagrangian reduction of generalized nonholonomic systems
title_fullStr Lagrangian reduction of generalized nonholonomic systems
title_full_unstemmed Lagrangian reduction of generalized nonholonomic systems
title_sort Lagrangian reduction of generalized nonholonomic systems
dc.creator.none.fl_str_mv Cendra, Hernan
Ferraro, Sebastián José
Grillo, Sergio Daniel
author Cendra, Hernan
author_facet Cendra, Hernan
Ferraro, Sebastián José
Grillo, Sergio Daniel
author_role author
author2 Ferraro, Sebastián José
Grillo, Sergio Daniel
author2_role author
author
dc.subject.none.fl_str_mv CONSTRAINED LAGRANGIAN SYSTEMS
LAGRANGIAN REDUCTION
topic CONSTRAINED LAGRANGIAN SYSTEMS
LAGRANGIAN REDUCTION
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 study the Lagrangian reduction of generalized nonholonomic systems (GNHS) with symmetry. We restrict ourselves to those GNHS, defined on a configuration space Q, with kinematic constraints given by a general submanifold CK ⊂ T Q, and variational constraints given by a distribution CV on Q. We develop a reduction procedure that is similar to that for nonholonomic systems satisfying d'Alembert's principle, i.e. with CK a distribution and CV = CK. Special care is taken in identifying the geometrical structures and mappings involved. We illustrate the general theory with an example.
Fil: Cendra, Hernan. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur; Argentina
Fil: Ferraro, Sebastián José. Universidad Nacional del Sur; Argentina. Instituto de Ciencias Matemáticas; España. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Fil: Grillo, Sergio Daniel. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Universidad Nacional de la Patagonia; Argentina
description In this paper we study the Lagrangian reduction of generalized nonholonomic systems (GNHS) with symmetry. We restrict ourselves to those GNHS, defined on a configuration space Q, with kinematic constraints given by a general submanifold CK ⊂ T Q, and variational constraints given by a distribution CV on Q. We develop a reduction procedure that is similar to that for nonholonomic systems satisfying d'Alembert's principle, i.e. with CK a distribution and CV = CK. Special care is taken in identifying the geometrical structures and mappings involved. We illustrate the general theory with an example.
publishDate 2008
dc.date.none.fl_str_mv 2008-10
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/11336/73969
Cendra, Hernan; Ferraro, Sebastián José; Grillo, Sergio Daniel; Lagrangian reduction of generalized nonholonomic systems; Elsevier Science; Journal Of Geometry And Physics; 58; 10; 10-2008; 1271-1290
0393-0440
CONICET Digital
CONICET
url http://hdl.handle.net/11336/73969
identifier_str_mv Cendra, Hernan; Ferraro, Sebastián José; Grillo, Sergio Daniel; Lagrangian reduction of generalized nonholonomic systems; Elsevier Science; Journal Of Geometry And Physics; 58; 10; 10-2008; 1271-1290
0393-0440
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.geomphys.2008.05.002
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0393044008000818
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
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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 12.993085

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