Discrete second order constrained lagrangian systems: first results

Autores
Borda, Nicolás; Fernández, Javier; Grillo, Sergio
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We briefly review the notion of second order constrained (continuous) system (SOCS) and then propose a discrete time counterpart of it, which we naturally call discrete second order constrained system (DSOCS). To illustrate and test numerically our model, we construct certain integrators that simulate the evolution of two mechanical systems: a particle moving in the plane with prescribed signed curvature, and the inertia wheel pendulum with a Lyapunov constraint. In addition, we prove a local existence and uniqueness result for trajectories of DSOCSs. As a first comparison of the underlying geometric structures, we study the symplectic behavior of both SOCSs and DSOCSs.
Facultad de Ciencias Exactas
Materia
Matemática
Discrete mechanical systems
Geometric mechanics
Nonholonomic mechanics
Second order constraints
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:10915/85473
Acceder
id SEDICI_9c94ceb89a7f7d4cc5ca69f8afd7bc70
oai_identifier_str oai:sedici.unlp.edu.ar:10915/85473
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Discrete second order constrained lagrangian systems: first resultsBorda, NicolásFernández, JavierGrillo, SergioMatemáticaDiscrete mechanical systemsGeometric mechanicsNonholonomic mechanicsSecond order constraintsWe briefly review the notion of second order constrained (continuous) system (SOCS) and then propose a discrete time counterpart of it, which we naturally call discrete second order constrained system (DSOCS). To illustrate and test numerically our model, we construct certain integrators that simulate the evolution of two mechanical systems: a particle moving in the plane with prescribed signed curvature, and the inertia wheel pendulum with a Lyapunov constraint. In addition, we prove a local existence and uniqueness result for trajectories of DSOCSs. As a first comparison of the underlying geometric structures, we study the symplectic behavior of both SOCSs and DSOCSs.Facultad de Ciencias Exactas2013info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf381-397http://sedici.unlp.edu.ar/handle/10915/85473enginfo:eu-repo/semantics/altIdentifier/issn/1941-4889info:eu-repo/semantics/altIdentifier/doi/10.3934/jgm.2013.5.381info: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:UNLP2025-09-03T10:48:46Zoai:sedici.unlp.edu.ar:10915/85473Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:48:46.87SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Discrete second order constrained lagrangian systems: first results
title Discrete second order constrained lagrangian systems: first results
spellingShingle Discrete second order constrained lagrangian systems: first results
Borda, Nicolás
Matemática
Discrete mechanical systems
Geometric mechanics
Nonholonomic mechanics
Second order constraints
title_short Discrete second order constrained lagrangian systems: first results
title_full Discrete second order constrained lagrangian systems: first results
title_fullStr Discrete second order constrained lagrangian systems: first results
title_full_unstemmed Discrete second order constrained lagrangian systems: first results
title_sort Discrete second order constrained lagrangian systems: first results
dc.creator.none.fl_str_mv Borda, Nicolás
Fernández, Javier
Grillo, Sergio
author Borda, Nicolás
author_facet Borda, Nicolás
Fernández, Javier
Grillo, Sergio
author_role author
author2 Fernández, Javier
Grillo, Sergio
author2_role author
author
dc.subject.none.fl_str_mv Matemática
Discrete mechanical systems
Geometric mechanics
Nonholonomic mechanics
Second order constraints
topic Matemática
Discrete mechanical systems
Geometric mechanics
Nonholonomic mechanics
Second order constraints
dc.description.none.fl_txt_mv We briefly review the notion of second order constrained (continuous) system (SOCS) and then propose a discrete time counterpart of it, which we naturally call discrete second order constrained system (DSOCS). To illustrate and test numerically our model, we construct certain integrators that simulate the evolution of two mechanical systems: a particle moving in the plane with prescribed signed curvature, and the inertia wheel pendulum with a Lyapunov constraint. In addition, we prove a local existence and uniqueness result for trajectories of DSOCSs. As a first comparison of the underlying geometric structures, we study the symplectic behavior of both SOCSs and DSOCSs.
Facultad de Ciencias Exactas
description We briefly review the notion of second order constrained (continuous) system (SOCS) and then propose a discrete time counterpart of it, which we naturally call discrete second order constrained system (DSOCS). To illustrate and test numerically our model, we construct certain integrators that simulate the evolution of two mechanical systems: a particle moving in the plane with prescribed signed curvature, and the inertia wheel pendulum with a Lyapunov constraint. In addition, we prove a local existence and uniqueness result for trajectories of DSOCSs. As a first comparison of the underlying geometric structures, we study the symplectic behavior of both SOCSs and DSOCSs.
publishDate 2013
dc.date.none.fl_str_mv 2013
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/10915/85473
url http://sedici.unlp.edu.ar/handle/10915/85473
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.2013.5.381
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
381-397
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
_version_ 1842260363834294272
score 13.13397

Publicaciones similares