Global stability of stationary patterns in bistable reaction-diffusion systems

Autores
Izús, G.; Deza, R.; Ramírez, O.; Wio, H.S.; Zanette, D.H.; Borzi, C.
Año de publicación
1995
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study a piecewise linear version of a one-component, one-dimensional reaction-diffusion bistable model, with the aim of analyzing the effect of boundary conditions on the formation and stability of stationary patterns. The analysis proceeds through the study of the behavior of the Lyapunov functional in terms of a control parameter: the reflectivity at the boundary. We show that, in this example, this functional has a very simple and direct geometrical interpretation. © 1995 The American Physical Society.
Fuente
Physical Review E 1995;52(1):129-136
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_1063651X_v52_n1_p129_Izus
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network_name_str Biblioteca Digital (UBA-FCEN)
spelling Global stability of stationary patterns in bistable reaction-diffusion systemsIzús, G.Deza, R.Ramírez, O.Wio, H.S.Zanette, D.H.Borzi, C.We study a piecewise linear version of a one-component, one-dimensional reaction-diffusion bistable model, with the aim of analyzing the effect of boundary conditions on the formation and stability of stationary patterns. The analysis proceeds through the study of the behavior of the Lyapunov functional in terms of a control parameter: the reflectivity at the boundary. We show that, in this example, this functional has a very simple and direct geometrical interpretation. © 1995 The American Physical Society.1995info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_1063651X_v52_n1_p129_IzusPhysical Review E 1995;52(1):129-136reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-10-23T11:18:12Zpaperaa:paper_1063651X_v52_n1_p129_IzusInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-10-23 11:18:13.686Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Global stability of stationary patterns in bistable reaction-diffusion systems
title Global stability of stationary patterns in bistable reaction-diffusion systems
spellingShingle Global stability of stationary patterns in bistable reaction-diffusion systems
Izús, G.
title_short Global stability of stationary patterns in bistable reaction-diffusion systems
title_full Global stability of stationary patterns in bistable reaction-diffusion systems
title_fullStr Global stability of stationary patterns in bistable reaction-diffusion systems
title_full_unstemmed Global stability of stationary patterns in bistable reaction-diffusion systems
title_sort Global stability of stationary patterns in bistable reaction-diffusion systems
dc.creator.none.fl_str_mv Izús, G.
Deza, R.
Ramírez, O.
Wio, H.S.
Zanette, D.H.
Borzi, C.
author Izús, G.
author_facet Izús, G.
Deza, R.
Ramírez, O.
Wio, H.S.
Zanette, D.H.
Borzi, C.
author_role author
author2 Deza, R.
Ramírez, O.
Wio, H.S.
Zanette, D.H.
Borzi, C.
author2_role author
author
author
author
author
dc.description.none.fl_txt_mv We study a piecewise linear version of a one-component, one-dimensional reaction-diffusion bistable model, with the aim of analyzing the effect of boundary conditions on the formation and stability of stationary patterns. The analysis proceeds through the study of the behavior of the Lyapunov functional in terms of a control parameter: the reflectivity at the boundary. We show that, in this example, this functional has a very simple and direct geometrical interpretation. © 1995 The American Physical Society.
description We study a piecewise linear version of a one-component, one-dimensional reaction-diffusion bistable model, with the aim of analyzing the effect of boundary conditions on the formation and stability of stationary patterns. The analysis proceeds through the study of the behavior of the Lyapunov functional in terms of a control parameter: the reflectivity at the boundary. We show that, in this example, this functional has a very simple and direct geometrical interpretation. © 1995 The American Physical Society.
publishDate 1995
dc.date.none.fl_str_mv 1995
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/20.500.12110/paper_1063651X_v52_n1_p129_Izus
url http://hdl.handle.net/20.500.12110/paper_1063651X_v52_n1_p129_Izus
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Physical Review E 1995;52(1):129-136
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
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score 12.982451

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