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Mean field approximation for noisy delay coupled excitable neurons

Author

Listed:
  • Burić, Nikola
  • Ranković, Dragana
  • Todorović, Kristina
  • Vasović, Nebojša

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.

Suggested Citation

  • Burić, Nikola & Ranković, Dragana & Todorović, Kristina & Vasović, Nebojša, 2010. "Mean field approximation for noisy delay coupled excitable neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(19), pages 3956-3964.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:19:p:3956-3964
    DOI: 10.1016/j.physa.2010.05.048
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    Cited by:

    1. Kostić, Srđan & Vasović, Nebojša & Todorović, Kristina & Franović, Igor, 2020. "EFFECT of colored noise on the generation of seismic fault MOVEMENT: Analogy with spring-block model DYNAMICS," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).

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