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• W4387455309 abstract "In this paper we focus on a mean-field model for a spatially extended FitzHugh-Nagumo neural network. In the regime where strong and local interactions dominate, we quantify how the probability density of voltage concentrates into a Dirac distribution. Previous work investigating this question has provided relative bounds in integrability spaces. Using a Hopf-Cole framework, we derive precise $ L^infty $ estimates using subtle explicit sub- and super- solutions which prove, with rates of convergence, that the blow-up profile is Gaussian." @default.
• W4387455309 created "2023-10-10" @default.
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• W4387455309 date "2023-01-01" @default.
• W4387455309 modified "2023-10-11" @default.
• W4387455309 title "Concentration profiles in FitzHugh-Nagumo neural networks: A Hopf-Cole approach" @default.
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• W4387455309 doi "https://doi.org/10.3934/dcdsb.2023165" @default.
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