Spatiotemporal patterns in the Bär model induced by concentration-dependent diffusivities

We investigate the effects of diffusivity on pattern formation in the excitable 2D Bär model with periodic boundary conditions. Our work generalizes previous findings of Roussel and coworkers in 1D and focusses on the turbulent states, including the spiral breakdown process. Diffusion coefficients (...

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Detalles Bibliográficos
Autores principales: Bergero, Paula Elena, Irurzun, Isabel María, Mola, Eduardo Elías
Formato: Articulo
Lenguaje:Inglés
Publicado: 2007
Materias:
Química
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/106376
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-106376
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Química
spellingShingle Química
Bergero, Paula Elena
Irurzun, Isabel María
Mola, Eduardo Elías
Spatiotemporal patterns in the Bär model induced by concentration-dependent diffusivities
topic_facet Química
description We investigate the effects of diffusivity on pattern formation in the excitable 2D Bär model with periodic boundary conditions. Our work generalizes previous findings of Roussel and coworkers in 1D and focusses on the turbulent states, including the spiral breakdown process. Diffusion coefficients (D(u)) quadratically dependent on the activator concentration were studied. Inhibition of the spiral instability was found with a negative linear coefficient in the concentration dependence of D(u). At a given value of e the inhibition can be complete for nonflux boundary conditions while a delay of the instability occurs in systems with periodic boundary conditions. Positive quadratic coefficients in the concentration dependence of D(u) strongly modify the defect statistic in the chaotic zone.
format Articulo
Articulo
author Bergero, Paula Elena
Irurzun, Isabel María
Mola, Eduardo Elías
author_facet Bergero, Paula Elena
Irurzun, Isabel María
Mola, Eduardo Elías
author_sort Bergero, Paula Elena
title Spatiotemporal patterns in the Bär model induced by concentration-dependent diffusivities
title_short Spatiotemporal patterns in the Bär model induced by concentration-dependent diffusivities
title_full Spatiotemporal patterns in the Bär model induced by concentration-dependent diffusivities
title_fullStr Spatiotemporal patterns in the Bär model induced by concentration-dependent diffusivities
title_full_unstemmed Spatiotemporal patterns in the Bär model induced by concentration-dependent diffusivities
title_sort spatiotemporal patterns in the bär model induced by concentration-dependent diffusivities
publishDate 2007
url http://sedici.unlp.edu.ar/handle/10915/106376
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AT irurzunisabelmaria spatiotemporalpatternsinthebarmodelinducedbyconcentrationdependentdiffusivities
AT molaeduardoelias spatiotemporalpatternsinthebarmodelinducedbyconcentrationdependentdiffusivities
bdutipo_str Repositorios
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