Item


The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems

We consider a class of excitable system whose dynamics is de- scribed by Fitzhugh-Nagumo (FN) equations. We provide a description for rigidly rotating spirals based on the fact that one of the unknowns develops abrupt jumps in some regions of the space. The core of the spiral is delim- ited by these regions. The description of the spiral is made using a mixture of asymptotic and rigorous arguments. Several open problems whose rigorous solution would provide insight in the problem are formulated.

The authors were supported by the Catalan and Spanish Government grants 2009SGR345, MTM2008-06349-C03-01, MTM2011-27739-C04-03, MTM2008-03255 and MTM2010-16467

info:eu-repo/grantAgreement/MICINN//MTM2011-27739-C04-03/ES/MODELIZACION MATEMATICA, BIOLOGIA TEORICA Y REDES COMPLEJAS/

American Institute of Mathematical Sciences

Manager: Ministerio de Ciencia e Innovación (Espanya)
Generalitat de Catalunya. Agència de Gestió d’Ajuts Universitaris i de Recerca
Author: Aguareles Carrero, Maria
Fontelos, Marco A.
Velázquez, Juan J.
Date: 2012 September
Abstract: We consider a class of excitable system whose dynamics is de- scribed by Fitzhugh-Nagumo (FN) equations. We provide a description for rigidly rotating spirals based on the fact that one of the unknowns develops abrupt jumps in some regions of the space. The core of the spiral is delim- ited by these regions. The description of the spiral is made using a mixture of asymptotic and rigorous arguments. Several open problems whose rigorous solution would provide insight in the problem are formulated.
The authors were supported by the Catalan and Spanish Government grants 2009SGR345, MTM2008-06349-C03-01, MTM2011-27739-C04-03, MTM2008-03255 and MTM2010-16467
Format: application/pdf
Document access: http://hdl.handle.net/10256/11254
Language: eng
Publisher: American Institute of Mathematical Sciences
Collection: info:eu-repo/semantics/altIdentifier/doi/10.3934/dcdsb.2012.17.1605
info:eu-repo/semantics/altIdentifier/issn/1531-3492
info:eu-repo/semantics/altIdentifier/eissn/1553-524X
AGAUR/2014-2016/2014 SGR-345
Is part of: info:eu-repo/grantAgreement/MICINN//MTM2011-27739-C04-03/ES/MODELIZACION MATEMATICA, BIOLOGIA TEORICA Y REDES COMPLEJAS/
Rights: Tots els drets reservats
Subject: Equacions de reacció-difusió
Reaction-diffusion equations
Equacions diferencials parabòliques
Differential equations, Parabolic
Title: The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

Subjects

Authors