We formulate the problem of finding the spiral core which smoothly matches onto the asymptotic rotating solution of the FitzHugh-Nagumo model. We prove that the inner problem (with scale {ε}, the ratio of the reaction rates) has a solution for all possible outer solutions on scale ε2/3; furthermore, we explicitly determine this solution via a simple numerical procedure. This completes the rigorous demonstration of the existence of rotating spiral solutions in singly diffusive excitable systems.
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Kessler et al. (1992) studied this question.
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