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Dynamics of noisy FitzHugh–Nagumo neurons with delayed coupling

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  • Burić, Nikola
  • Todorović, Kristina
  • Vasović, Nebojša

Abstract

Results of an extensive numerical study of the influence of additive white noise on the dynamics of a pair of delayed coupled FitzHugh–Nagumo neurons are presented. An intuitively clear simple method is utilized to predict the critical intensities of the noise. In general, the qualitative properties of the noiseless dynamics are stable under the influence of the noise of a reasonable magnitude. However, there are regions of the coupling and time-lag parameters where the noise of a physically acceptable magnitude does cause qualitative changes of the dynamics. These regions are studied in detail.

Suggested Citation

  • Burić, Nikola & Todorović, Kristina & Vasović, Nebojša, 2009. "Dynamics of noisy FitzHugh–Nagumo neurons with delayed coupling," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2405-2413.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2405-2413
    DOI: 10.1016/j.chaos.2007.10.036
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    References listed on IDEAS

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    1. Burić, Nikola & Grozdanović, Ines & Vasović, Nebojša, 2005. "Type I vs. type II excitable systems with delayed coupling," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1221-1233.
    2. Goldobin, D & Rosenblum, M & Pikovsky, A, 2003. "Coherence of noisy oscillators with delayed feedback," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 124-128.
    3. Goldobin, D.S. & Pikovsky, A.S., 2005. "Synchronization of self-sustained oscillators by common white noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 126-132.
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    1. Rao, Feng & Wang, Weiming & Li, Zhenqing, 2009. "Spatiotemporal complexity of a predator–prey system with the effect of noise and external forcing," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1634-1644.

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