Mean field approximation for noisy delay coupled excitable neurons

Nikola Burić, Dragana Ranković, Kristina Todorović and Nebojša Vasović

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 19, 3956-3964

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 N≫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.

Keywords: Time-delay; Stochastic excitable systems; Mean-field (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:19:p:3956-3964

DOI: 10.1016/j.physa.2010.05.048

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