Towards a global classification of excitable reaction-diffusion systems

Autores
Ponce Dawson, Silvina Martha; D'angelo, María Verónica; Pearson, John E.
Año de publicación
2000
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Patterns in reaction-diffusion systems near primary bifurcations can be studied locally and classified by means of amplitude equations. This is not possible for excitable reaction-diffusion systems. In this paper we propose a global classification of two variable excitable reaction-diffusion systems. In particular, we claim that the topology of the underlying two-dimensional homogeneous dynamics organizes the system's behavior. We believe that this classification provides a useful tool for the modeling of any real system whose microscopic details are unknown. (C) 2000 Published by Elsevier Science B.V.
Fil: Ponce Dawson, Silvina Martha. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: D'angelo, María Verónica. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Pearson, John E.. Los Alamos National High Magnetic Field Laboratory; Estados Unidos
Materia
Reaction-Diffusion
Excitable Systems
Patterns
Topology
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:11336/54781
Acceder
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spelling Towards a global classification of excitable reaction-diffusion systemsPonce Dawson, Silvina MarthaD'angelo, María VerónicaPearson, John E.Reaction-DiffusionExcitable SystemsPatternsTopologyhttps://purl.org/becyt/ford/1.5https://purl.org/becyt/ford/1Patterns in reaction-diffusion systems near primary bifurcations can be studied locally and classified by means of amplitude equations. This is not possible for excitable reaction-diffusion systems. In this paper we propose a global classification of two variable excitable reaction-diffusion systems. In particular, we claim that the topology of the underlying two-dimensional homogeneous dynamics organizes the system's behavior. We believe that this classification provides a useful tool for the modeling of any real system whose microscopic details are unknown. (C) 2000 Published by Elsevier Science B.V.Fil: Ponce Dawson, Silvina Martha. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: D'angelo, María Verónica. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaFil: Pearson, John E.. Los Alamos National High Magnetic Field Laboratory; Estados UnidosElsevier Science2000-02info: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/11336/54781Ponce Dawson, Silvina Martha; D'angelo, María Verónica; Pearson, John E.; Towards a global classification of excitable reaction-diffusion systems; Elsevier Science; Physics Letters A; 265; 5-6; 2-2000; 346-3520375-9601CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0375960100000086info:eu-repo/semantics/altIdentifier/doi/10.1016/S0375-9601(00)00008-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:56:11Zoai:ri.conicet.gov.ar:11336/54781instacron: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:34982025-10-22 11:56:12.244CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Towards a global classification of excitable reaction-diffusion systems
title Towards a global classification of excitable reaction-diffusion systems
spellingShingle Towards a global classification of excitable reaction-diffusion systems
Ponce Dawson, Silvina Martha
Reaction-Diffusion
Excitable Systems
Patterns
Topology
title_short Towards a global classification of excitable reaction-diffusion systems
title_full Towards a global classification of excitable reaction-diffusion systems
title_fullStr Towards a global classification of excitable reaction-diffusion systems
title_full_unstemmed Towards a global classification of excitable reaction-diffusion systems
title_sort Towards a global classification of excitable reaction-diffusion systems
dc.creator.none.fl_str_mv Ponce Dawson, Silvina Martha
D'angelo, María Verónica
Pearson, John E.
author Ponce Dawson, Silvina Martha
author_facet Ponce Dawson, Silvina Martha
D'angelo, María Verónica
Pearson, John E.
author_role author
author2 D'angelo, María Verónica
Pearson, John E.
author2_role author
author
dc.subject.none.fl_str_mv Reaction-Diffusion
Excitable Systems
Patterns
Topology
topic Reaction-Diffusion
Excitable Systems
Patterns
Topology
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.5
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Patterns in reaction-diffusion systems near primary bifurcations can be studied locally and classified by means of amplitude equations. This is not possible for excitable reaction-diffusion systems. In this paper we propose a global classification of two variable excitable reaction-diffusion systems. In particular, we claim that the topology of the underlying two-dimensional homogeneous dynamics organizes the system's behavior. We believe that this classification provides a useful tool for the modeling of any real system whose microscopic details are unknown. (C) 2000 Published by Elsevier Science B.V.
Fil: Ponce Dawson, Silvina Martha. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: D'angelo, María Verónica. Universidad de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Fil: Pearson, John E.. Los Alamos National High Magnetic Field Laboratory; Estados Unidos
description Patterns in reaction-diffusion systems near primary bifurcations can be studied locally and classified by means of amplitude equations. This is not possible for excitable reaction-diffusion systems. In this paper we propose a global classification of two variable excitable reaction-diffusion systems. In particular, we claim that the topology of the underlying two-dimensional homogeneous dynamics organizes the system's behavior. We believe that this classification provides a useful tool for the modeling of any real system whose microscopic details are unknown. (C) 2000 Published by Elsevier Science B.V.
publishDate 2000
dc.date.none.fl_str_mv 2000-02
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/11336/54781
Ponce Dawson, Silvina Martha; D'angelo, María Verónica; Pearson, John E.; Towards a global classification of excitable reaction-diffusion systems; Elsevier Science; Physics Letters A; 265; 5-6; 2-2000; 346-352
0375-9601
CONICET Digital
CONICET
url http://hdl.handle.net/11336/54781
identifier_str_mv Ponce Dawson, Silvina Martha; D'angelo, María Verónica; Pearson, John E.; Towards a global classification of excitable reaction-diffusion systems; Elsevier Science; Physics Letters A; 265; 5-6; 2-2000; 346-352
0375-9601
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://www.sciencedirect.com/science/article/pii/S0375960100000086
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0375-9601(00)00008-6
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 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 12.982451

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