Mean field approximation for noisy delay coupled excitable neurons
arXiv:1003.5187 · doi:10.1016/j.physa.2010.05.048
Abstract
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 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.
arXiv comment15 pages, 3 figures
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- Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations
- Persistence and failure of mean-field approximations adapted to a class of systems of delay-coupled excitable units