Heuristic mean-field limit derived for a 2D nonlinear stochastic spiking neuron network, with numerical evidence of propagation of chaos, convergence, and Hopf bifurcation indicating synchronized activity.
Sznitman, Topics in propagation of chaos, in École d’Été de Probabilités de Saint-Flour, 1989, Springer, 1991, pp
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Mean-field limit of interacting 2D nonlinear stochastic spiking neurons
Heuristic mean-field limit derived for a 2D nonlinear stochastic spiking neuron network, with numerical evidence of propagation of chaos, convergence, and Hopf bifurcation indicating synchronized activity.