Remarks on structures and preservation in forced discrete mechanical systems of Routh type

Autores
Caruso, Matías Ignacio; Fernández, Javier; Tori, Cora Ines; Zuccalli, Marcela
Año de publicación
2026
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study a type of forced discrete mechanical system (Q, L_d, f_d)—that we name of Routh type— whose (discrete) time-flow preserves a symplectic structure on Q × Q. That structure arises as the pullback via the forced discrete Legendre transform of the canonical symplectic structure on T^*Q modified by a “magnetic term”. One example of this type of system is provided by the Lagrangian reduction of a symmetric (unforced) discrete mechanical system in the Routh style. In this particular case, we do not reduce by the full symmetry group but, rather, by an appropriate isotropy subgroup. In this context, the preserved symplectic structure can be alternatively seen as the Marsden-Weinstein reduction of the canonical symplectic structure ω_Ld on Q × Q.
Fil: Caruso, Matías Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
Fil: Fernández, Javier. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
Fil: Tori, Cora Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Ciencias Básicas; Argentina
Fil: Zuccalli, Marcela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Materia
Geometric Mechanics
Forced discrete mechanical systems
Discrete Routh 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:11336/290554
Acceder
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spelling Remarks on structures and preservation in forced discrete mechanical systems of Routh typeCaruso, Matías IgnacioFernández, JavierTori, Cora InesZuccalli, MarcelaGeometric MechanicsForced discrete mechanical systemsDiscrete Routh reductionhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study a type of forced discrete mechanical system (Q, L_d, f_d)—that we name of Routh type— whose (discrete) time-flow preserves a symplectic structure on Q × Q. That structure arises as the pullback via the forced discrete Legendre transform of the canonical symplectic structure on T^*Q modified by a “magnetic term”. One example of this type of system is provided by the Lagrangian reduction of a symmetric (unforced) discrete mechanical system in the Routh style. In this particular case, we do not reduce by the full symmetry group but, rather, by an appropriate isotropy subgroup. In this context, the preserved symplectic structure can be alternatively seen as the Marsden-Weinstein reduction of the canonical symplectic structure ω_Ld on Q × Q.Fil: Caruso, Matías Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; ArgentinaFil: Fernández, Javier. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; ArgentinaFil: Tori, Cora Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Ciencias Básicas; ArgentinaFil: Zuccalli, Marcela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaElsevier Science2026-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/290554Caruso, Matías Ignacio; Fernández, Javier; Tori, Cora Ines; Zuccalli, Marcela; Remarks on structures and preservation in forced discrete mechanical systems of Routh type; Elsevier Science; Journal Of Geometry And Physics; 223; 5-2026; 1-380393-0440CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0393044026000264info:eu-repo/semantics/altIdentifier/doi/10.1016/j.geomphys.2026.105776info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/pdf/2403.05305info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T15:46:00Zoai:ri.conicet.gov.ar:11336/290554instacron: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:34982026-08-25 15:46:00.806CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Remarks on structures and preservation in forced discrete mechanical systems of Routh type
title Remarks on structures and preservation in forced discrete mechanical systems of Routh type
spellingShingle Remarks on structures and preservation in forced discrete mechanical systems of Routh type
Caruso, Matías Ignacio
Geometric Mechanics
Forced discrete mechanical systems
Discrete Routh reduction
title_short Remarks on structures and preservation in forced discrete mechanical systems of Routh type
title_full Remarks on structures and preservation in forced discrete mechanical systems of Routh type
title_fullStr Remarks on structures and preservation in forced discrete mechanical systems of Routh type
title_full_unstemmed Remarks on structures and preservation in forced discrete mechanical systems of Routh type
title_sort Remarks on structures and preservation in forced discrete mechanical systems of Routh type
dc.creator.none.fl_str_mv Caruso, Matías Ignacio
Fernández, Javier
Tori, Cora Ines
Zuccalli, Marcela
author Caruso, Matías Ignacio
author_facet Caruso, Matías Ignacio
Fernández, Javier
Tori, Cora Ines
Zuccalli, Marcela
author_role author
author2 Fernández, Javier
Tori, Cora Ines
Zuccalli, Marcela
author2_role author
author
author
dc.subject.none.fl_str_mv Geometric Mechanics
Forced discrete mechanical systems
Discrete Routh reduction
topic Geometric Mechanics
Forced discrete mechanical systems
Discrete Routh 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 We study a type of forced discrete mechanical system (Q, L_d, f_d)—that we name of Routh type— whose (discrete) time-flow preserves a symplectic structure on Q × Q. That structure arises as the pullback via the forced discrete Legendre transform of the canonical symplectic structure on T^*Q modified by a “magnetic term”. One example of this type of system is provided by the Lagrangian reduction of a symmetric (unforced) discrete mechanical system in the Routh style. In this particular case, we do not reduce by the full symmetry group but, rather, by an appropriate isotropy subgroup. In this context, the preserved symplectic structure can be alternatively seen as the Marsden-Weinstein reduction of the canonical symplectic structure ω_Ld on Q × Q.
Fil: Caruso, Matías Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
Fil: Fernández, Javier. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina
Fil: Tori, Cora Ines. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Ciencias Básicas; Argentina
Fil: Zuccalli, Marcela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
description We study a type of forced discrete mechanical system (Q, L_d, f_d)—that we name of Routh type— whose (discrete) time-flow preserves a symplectic structure on Q × Q. That structure arises as the pullback via the forced discrete Legendre transform of the canonical symplectic structure on T^*Q modified by a “magnetic term”. One example of this type of system is provided by the Lagrangian reduction of a symmetric (unforced) discrete mechanical system in the Routh style. In this particular case, we do not reduce by the full symmetry group but, rather, by an appropriate isotropy subgroup. In this context, the preserved symplectic structure can be alternatively seen as the Marsden-Weinstein reduction of the canonical symplectic structure ω_Ld on Q × Q.
publishDate 2026
dc.date.none.fl_str_mv 2026-05
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/11336/290554
Caruso, Matías Ignacio; Fernández, Javier; Tori, Cora Ines; Zuccalli, Marcela; Remarks on structures and preservation in forced discrete mechanical systems of Routh type; Elsevier Science; Journal Of Geometry And Physics; 223; 5-2026; 1-38
0393-0440
CONICET Digital
CONICET
url http://hdl.handle.net/11336/290554
identifier_str_mv Caruso, Matías Ignacio; Fernández, Javier; Tori, Cora Ines; Zuccalli, Marcela; Remarks on structures and preservation in forced discrete mechanical systems of Routh type; Elsevier Science; Journal Of Geometry And Physics; 223; 5-2026; 1-38
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/url/https://linkinghub.elsevier.com/retrieve/pii/S0393044026000264
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.geomphys.2026.105776
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/pdf/2403.05305
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
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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