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.
Touboul , Bifurcation analysis of a general class of nonlinear integrate-and-fire neurons, SIAM Journal on Applied Mathematics, 68 (2008), 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.