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Fluctuating excitability: A mechanism for self-sustained information flow in excitable arrays

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  • Perc, Matjaž

Abstract

We show that the fluctuating excitability of FitzHugh–Nagumo neurons, constituting a diffusively coupled excitable array, can induce phase slips that lead to a symmetry break yielding a preferred spreading direction of excitatory events, thus enabling persistent self-sustained and self-organized information flow in a periodic array long after a localized stimulus perturbation has sized. Possible oscillation frequencies of the information-carrying signal are expressed analytically, and necessary conditions for the phenomenon are derived. Our results suggest that cellular diversity in neural tissue is crucial for maintaining self-sustained and organized activity in the brain even in the absence of immediate stimuli, thus facilitating continuous evolution of its mechanisms for information retrieval and storage.

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  • Perc, Matjaž, 2007. "Fluctuating excitability: A mechanism for self-sustained information flow in excitable arrays," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1118-1124.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:3:p:1118-1124
    DOI: 10.1016/j.chaos.2005.11.035
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    Cited by:

    1. Iqbal, Naveed & Wu, Ranchao & Liu, Biao, 2017. "Pattern formation by super-diffusion in FitzHugh–Nagumo model," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 245-258.
    2. Sun, Xiaojuan & Lu, Qishao & Kurths, Jürgen, 2008. "Correlated noise induced spatiotemporal coherence resonance in a square lattice network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6679-6685.
    3. Song, Aiguo & Duan, Jianghai & Wu, Juan & Li, Huijun, 2009. "Design 2D nonlinear system for information storage," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 157-163.

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