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EVANS FUNCTIONS AND NONLINEAR STABILITY OF TRAVELING WAVES IN NEURONAL NETWORK MODELS

    https://doi.org/10.1142/S0218127407018695Cited by:46 (Source: Crossref)

    Modeling networks of synaptically coupled neurons often leads to systems of integro-differential equations. Particularly interesting solutions in this context are traveling waves. We prove here that spectral stability of traveling waves implies their nonlinear stability in appropriate function spaces, and compare several recent Evans-function constructions that are useful tools when analyzing spectral stability.

    Dedicated to Andre Vanderbauwhede on the Occasion of his 60th Birthday

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