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math.AP2024
Sequence of pseudoequilibria describes the long-time behavior of the nonlinear noisy leaky integrate-and-fire model with large delay
MarÃa J. Cáceres, José A. Cañizo, Alejandro Ramos-Lora
There is a wide range of mathematical models that describe populations of large numbers of neurons. In this article, we focus on nonlinear noisy leaky integrate-and-fire (NNLIF) mo…
math.AP2024
On the asymptotic behavior of the NNLIF neuron model for general connectivity strength
MarÃa J. Cáceres, José A. Cañizo, Alejandro Ramos-Lora
We prove new results on the asymptotic behavior of the nonlinear integrate-and-fire neuron model. Among them, we give a criterion for the linearized stability or instability of equ…