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

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  • We consider a class of excitable system whose dynamics is described 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 delimited 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.
    Mathematics Subject Classification: Primary: 35Q92, 35K57; Secondary: 35B25.


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