Oratrice : Laetitia Colombani (CMAP, École Polytechnique)
FitzHugh-Nagumo equations have been suggested in 1961 to model neurons. Stochastic versions of these equations have since been developed. The specificity of these SDE is a cubic term in the drift, which needs us to pay attention. With Pierre Le Bris, we have studied the behavior of a network on N neurons, interacting with each other, when N tends to infinity. We prove an uniform in time propagation of chaos in a mean-field framework, with a coupling method suggested by Eberle (2016). During this talk, I will present this model and the idea of the method.