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.
Boyer, Analysis of the upwind finite volume method for general initial- and boundary-value transport problems, IMA Journal of Numerical Analysis, 32 (2012), 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.