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- W4386554449 abstract "We investigate a stochastic network composed of Integrate-and-Fire spiking neurons, focusing on its mean-field asymptotic behavior. We consider an invariant probability measure of the McKean-Vlasov equation and establish an explicit sufficient condition for ensuring the local stability of this invariant distribution. Furthermore, we provide a proof of a conjecture originally proposed by P. Robert and J. Touboul regarding the bistable nature of a specific instance of this neuronal model." @default.
- W4386554449 created "2023-09-09" @default.
- W4386554449 creator A5069275826 @default.
- W4386554449 date "2020-02-20" @default.
- W4386554449 modified "2023-10-16" @default.
- W4386554449 title "A mean-field model of Integrate-and-Fire neurons: non-linear stability of the stationary solutions" @default.
- W4386554449 doi "https://doi.org/10.48550/arxiv.2002.08649" @default.
- W4386554449 hasPublicationYear "2020" @default.
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