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- W4288043258 abstract "In this paper we focus on a spatially extended FitzHugh-Nagumo model with interactions. In the regime where strong and local interactions dominate, we quantify how the probability density of neurons concentrates into a Dirac distribution. Previous work investigating this question have 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.
- W4288043258 created "2022-07-27" @default.
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- W4288043258 date "2022-07-22" @default.
- W4288043258 modified "2023-09-24" @default.
- W4288043258 title "Concentration profiles in FitzHugh-Nagumo neural networks: A Hopf-Cole approach" @default.
- W4288043258 doi "https://doi.org/10.48550/arxiv.2207.11010" @default.
- W4288043258 hasPublicationYear "2022" @default.
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