Ítem
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Ministerio de Ciencia e Innovación (Espanya)
Generalitat de Catalunya. Agència de Gestió d’Ajuts Universitaris i de Recerca |
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Aguareles Carrero, Maria
Fontelos, Marco A. Velázquez, Juan J. |
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| setembre 2012 | |
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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 |
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| application/pdf | |
| http://hdl.handle.net/10256/11254 | |
| eng | |
| American Institute of Mathematical Sciences | |
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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 |
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| info:eu-repo/grantAgreement/MICINN//MTM2011-27739-C04-03/ES/MODELIZACION MATEMATICA, BIOLOGIA TEORICA Y REDES COMPLEJAS/ | |
| Tots els drets reservats | |
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Equacions de reacció-difusió
Reaction-diffusion equations Equacions diferencials parabòliques Differential equations, Parabolic |
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| The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems | |
| info:eu-repo/semantics/article | |
| DUGiDocs |
