Topological modes of variability of the wind-driven ocean circulation

Autores
Charó, Gisela Daniela; Sciamarella, Denisse; Ruiz, Juan Jose; Pierini, Stefano; Ghil, Michael
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Templexes are topological objects that encode the branching organization of a flow in phase space. We build on these objects to introduce the concept of topological modes of variability (TMVs). TMVs are defined as dynamical manifestations of algebraically defined cycles, called generatexes, in the templex; they provide a concrete link between abstract topological invariants and time-dependent behavior in a model or in observations. We apply this approach to a low-order model of the wind-driven ocean circulation, subject to both periodic and aperiodic forcing, and show how TMVs emerge or vanish over time in nonautonomous settings. The analysis reveals that TMVs allow for a qualitatively new understanding of variability in complex systems where linear modes fail to describe the nonlinear dynamics.
Fil: Charó, Gisela Daniela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Centro de Investigaciones del Mar y la Atmósfera. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Centro de Investigaciones del Mar y la Atmósfera; Argentina
Fil: Sciamarella, Denisse. Centre National de la Recherche Scientifique; Francia
Fil: Ruiz, Juan Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Centro de Investigaciones del Mar y la Atmósfera. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Centro de Investigaciones del Mar y la Atmósfera; Argentina
Fil: Pierini, Stefano. Parthenope University Of Naples; Italia
Fil: Ghil, Michael. Laboratoire de Meteorologie Dynamique; Francia
Materia
topological invariant
topological properties
dynamical systems
Nivel de accesibilidad
acceso embargado
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:11336/275657
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Topological modes of variability of the wind-driven ocean circulationCharó, Gisela DanielaSciamarella, DenisseRuiz, Juan JosePierini, StefanoGhil, Michaeltopological invarianttopological propertiesdynamical systemshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Templexes are topological objects that encode the branching organization of a flow in phase space. We build on these objects to introduce the concept of topological modes of variability (TMVs). TMVs are defined as dynamical manifestations of algebraically defined cycles, called generatexes, in the templex; they provide a concrete link between abstract topological invariants and time-dependent behavior in a model or in observations. We apply this approach to a low-order model of the wind-driven ocean circulation, subject to both periodic and aperiodic forcing, and show how TMVs emerge or vanish over time in nonautonomous settings. The analysis reveals that TMVs allow for a qualitatively new understanding of variability in complex systems where linear modes fail to describe the nonlinear dynamics.Fil: Charó, Gisela Daniela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Centro de Investigaciones del Mar y la Atmósfera. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Centro de Investigaciones del Mar y la Atmósfera; ArgentinaFil: Sciamarella, Denisse. Centre National de la Recherche Scientifique; FranciaFil: Ruiz, Juan Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Centro de Investigaciones del Mar y la Atmósfera. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Centro de Investigaciones del Mar y la Atmósfera; ArgentinaFil: Pierini, Stefano. Parthenope University Of Naples; ItaliaFil: Ghil, Michael. Laboratoire de Meteorologie Dynamique; FranciaAmerican Institute of Physics2025-09info:eu-repo/date/embargoEnd/2026-03-08info: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/11336/275657Charó, Gisela Daniela; Sciamarella, Denisse; Ruiz, Juan Jose; Pierini, Stefano; Ghil, Michael; Topological modes of variability of the wind-driven ocean circulation; American Institute of Physics; Chaos; 35; 9; 9-2025; 1-251054-1500CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://pubs.aip.org/cha/article/35/9/093121/3361913/Topological-modes-of-variability-of-the-windinfo:eu-repo/semantics/altIdentifier/doi/10.1063/5.0261968info:eu-repo/semantics/embargoedAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-12-03T08:36:53Zoai:ri.conicet.gov.ar:11336/275657instacron: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:34982025-12-03 08:36:53.761CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Topological modes of variability of the wind-driven ocean circulation
title Topological modes of variability of the wind-driven ocean circulation
spellingShingle Topological modes of variability of the wind-driven ocean circulation
Charó, Gisela Daniela
topological invariant
topological properties
dynamical systems
title_short Topological modes of variability of the wind-driven ocean circulation
title_full Topological modes of variability of the wind-driven ocean circulation
title_fullStr Topological modes of variability of the wind-driven ocean circulation
title_full_unstemmed Topological modes of variability of the wind-driven ocean circulation
title_sort Topological modes of variability of the wind-driven ocean circulation
dc.creator.none.fl_str_mv Charó, Gisela Daniela
Sciamarella, Denisse
Ruiz, Juan Jose
Pierini, Stefano
Ghil, Michael
author Charó, Gisela Daniela
author_facet Charó, Gisela Daniela
Sciamarella, Denisse
Ruiz, Juan Jose
Pierini, Stefano
Ghil, Michael
author_role author
author2 Sciamarella, Denisse
Ruiz, Juan Jose
Pierini, Stefano
Ghil, Michael
author2_role author
author
author
author
dc.subject.none.fl_str_mv topological invariant
topological properties
dynamical systems
topic topological invariant
topological properties
dynamical systems
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Templexes are topological objects that encode the branching organization of a flow in phase space. We build on these objects to introduce the concept of topological modes of variability (TMVs). TMVs are defined as dynamical manifestations of algebraically defined cycles, called generatexes, in the templex; they provide a concrete link between abstract topological invariants and time-dependent behavior in a model or in observations. We apply this approach to a low-order model of the wind-driven ocean circulation, subject to both periodic and aperiodic forcing, and show how TMVs emerge or vanish over time in nonautonomous settings. The analysis reveals that TMVs allow for a qualitatively new understanding of variability in complex systems where linear modes fail to describe the nonlinear dynamics.
Fil: Charó, Gisela Daniela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Centro de Investigaciones del Mar y la Atmósfera. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Centro de Investigaciones del Mar y la Atmósfera; Argentina
Fil: Sciamarella, Denisse. Centre National de la Recherche Scientifique; Francia
Fil: Ruiz, Juan Jose. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Centro de Investigaciones del Mar y la Atmósfera. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Centro de Investigaciones del Mar y la Atmósfera; Argentina
Fil: Pierini, Stefano. Parthenope University Of Naples; Italia
Fil: Ghil, Michael. Laboratoire de Meteorologie Dynamique; Francia
description Templexes are topological objects that encode the branching organization of a flow in phase space. We build on these objects to introduce the concept of topological modes of variability (TMVs). TMVs are defined as dynamical manifestations of algebraically defined cycles, called generatexes, in the templex; they provide a concrete link between abstract topological invariants and time-dependent behavior in a model or in observations. We apply this approach to a low-order model of the wind-driven ocean circulation, subject to both periodic and aperiodic forcing, and show how TMVs emerge or vanish over time in nonautonomous settings. The analysis reveals that TMVs allow for a qualitatively new understanding of variability in complex systems where linear modes fail to describe the nonlinear dynamics.
publishDate 2025
dc.date.none.fl_str_mv 2025-09
info:eu-repo/date/embargoEnd/2026-03-08
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/11336/275657
Charó, Gisela Daniela; Sciamarella, Denisse; Ruiz, Juan Jose; Pierini, Stefano; Ghil, Michael; Topological modes of variability of the wind-driven ocean circulation; American Institute of Physics; Chaos; 35; 9; 9-2025; 1-25
1054-1500
CONICET Digital
CONICET
url http://hdl.handle.net/11336/275657
identifier_str_mv Charó, Gisela Daniela; Sciamarella, Denisse; Ruiz, Juan Jose; Pierini, Stefano; Ghil, Michael; Topological modes of variability of the wind-driven ocean circulation; American Institute of Physics; Chaos; 35; 9; 9-2025; 1-25
1054-1500
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://pubs.aip.org/cha/article/35/9/093121/3361913/Topological-modes-of-variability-of-the-wind
info:eu-repo/semantics/altIdentifier/doi/10.1063/5.0261968
dc.rights.none.fl_str_mv info:eu-repo/semantics/embargoedAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv embargoedAccess
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 Physics
publisher.none.fl_str_mv American Institute of Physics
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 13.214268

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