Towards a further understanding of the dynamics in the excitatory NNLIF neuron model: blow-up and global existence

The Nonlinear Noisy Leaky Integrate and Fire (NNLIF) model is widely used to describe the dynamics of neural networks after a diffusive approximation of the mean-field limit of a stochastic differential equation. In previous works, many qualitative results were obtained: global existence in the inhi...

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Bibliographic Details
Main Authors: Roux, P, Salort, D
Format: Journal article
Language:English
Published: American Institute of Mathematical Sciences 2021