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.
Berger, Über das Elektrenkephalogramm des Menschen, Archiv fur Psychiatrie und Ner- venkrankheiten, 87 (1929), 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.