Mean field approximation for noisy delay coupled excitable neurons

Details Mean field approximation for noisy delay coupled excitable neurons Mean field approximation for noisy delay coupled excitable neurons

2010-03-26

arxiv.org/abs/1003.5187v1

Nonlinear Sciences

Chaotic Dynamics

15 pages, 3 figures

Scientific paper

Mean field approximation of a large collection of FitzHugh-Nagumo excitable neurons with noise and all-to-all coupling with explicit time-delays, modelled by $N\gg 1$ stochastic delay-differential equations is derived. The resulting approximation contains only two deterministic delay-differential equations but provides excellent predictions concerning the stability and bifurcations of the averaged global variables of the exact large system.

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