The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems
dc.contributor.author
dc.date.accessioned
2015-10-13T10:28:00Z
dc.date.available
2015-10-13T10:28:00Z
dc.date.issued
2012-09
dc.identifier.issn
1531-3492
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dc.description.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.
dc.description.sponsorship
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
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application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Mathematical Sciences
dc.relation
info:eu-repo/grantAgreement/MICINN//MTM2011-27739-C04-03/ES/MODELIZACION MATEMATICA, BIOLOGIA TEORICA Y REDES COMPLEJAS/
AGAUR/2014-2016/2014 SGR-345
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Reproducció digital del document publicat a: http://dx.doi.org/10.3934/dcdsb.2012.17.1605
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© Discrete and continuous dynamical systems. Series B, 2012, vol. 17, núm. 6, p. 1605-1638
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Articles publicats (D-IMA)
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Tots els drets reservats
dc.subject
dc.title
The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/embargoedAccess
dc.embargo.terms
Cap
dc.date.embargoEndDate
info:eu-repo/date/embargoEnd/2026-01-01
dc.type.version
info:eu-repo/semantics/publishedVersion
dc.identifier.doi
dc.identifier.idgrec
016259
dc.contributor.funder
dc.relation.ProjectAcronym
dc.identifier.eissn
1553-524X