Global stability of stationary patterns in bistable reaction-diffusion systems

Mostrar todas las versiones(3)

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 functi...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Izús, G., Deza, R., Ramírez, O., Wio, H.S., Zanette, D.H., Borzi, C.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 1995
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_1063651X_v52_n1_p129_Izus
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_1063651X_v52_n1_p129_Izus_oai
Aporte de:
Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_1063651X_v52_n1_p129_Izus_oai
record_format dspace
spelling I28-R145-paper_1063651X_v52_n1_p129_Izus_oai2020-10-19 Izús, G. Deza, R. Ramírez, O. Wio, H.S. Zanette, D.H. Borzi, C. 1995 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. application/pdf http://hdl.handle.net/20.500.12110/paper_1063651X_v52_n1_p129_Izus eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Physical Review E 1995;52(1):129-136 Global stability of stationary patterns in bistable reaction-diffusion systems info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_1063651X_v52_n1_p129_Izus_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
language Inglés
orig_language_str_mv eng
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.
format Artículo
Artículo
publishedVersion
author Izús, G.
Deza, R.
Ramírez, O.
Wio, H.S.
Zanette, D.H.
Borzi, C.
spellingShingle Izús, G.
Deza, R.
Ramírez, O.
Wio, H.S.
Zanette, D.H.
Borzi, C.
Global stability of stationary patterns in bistable reaction-diffusion systems
author_facet Izús, G.
Deza, R.
Ramírez, O.
Wio, H.S.
Zanette, D.H.
Borzi, C.
author_sort Izús, G.
title Global stability of stationary patterns in bistable reaction-diffusion systems
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
publishDate 1995
url http://hdl.handle.net/20.500.12110/paper_1063651X_v52_n1_p129_Izus
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_1063651X_v52_n1_p129_Izus_oai
work_keys_str_mv AT izusg globalstabilityofstationarypatternsinbistablereactiondiffusionsystems
AT dezar globalstabilityofstationarypatternsinbistablereactiondiffusionsystems
AT ramirezo globalstabilityofstationarypatternsinbistablereactiondiffusionsystems
AT wiohs globalstabilityofstationarypatternsinbistablereactiondiffusionsystems
AT zanettedh globalstabilityofstationarypatternsinbistablereactiondiffusionsystems
AT borzic globalstabilityofstationarypatternsinbistablereactiondiffusionsystems
_version_ 1766026734744895488

Ejemplares similares