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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/54781
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:23:25Zoai: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:34982025-09-29 10:23:25.926CONICET 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 |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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13.070432 |