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Coherence and spike death induced by bounded noise and delayed feedback in an excitable system

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Abstract

The FitzHugh-Nagumo model with bounded noise and delayed feedback is numerically investigated. A minimum of the coefficient of variation (R) of interspike intervals is observed both as a function of the noise intensity and as a function of the noise correlation time, viz, the coherence resonance phenomenon. Also, in the scenario of purely noise-sustained irregular oscillations, there exists a maximum of R as a function of the delay time (τ d ) of feedback, namely, the suppressed coherence. Moreover, in the scenario of purely noise-sustained regular oscillations, the R with multiple peaks as a function of τ d can be observed, that is, the oscillatory coherence. Additionally, within the tailored parameter regime, spike death phenomenon can be obtained. These results may be helpful for making artificial devices.

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Authors and Affiliations

  1. Department of Physics, Yunnan University, Kunming, 650091, P.R. China

    W. Guo, L. C. Du & D. C. Mei

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  1. W. Guo
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  2. L. C. Du
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  3. D. C. Mei
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Correspondence to D. C. Mei.

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Guo, W., Du, L.C. & Mei, D.C. Coherence and spike death induced by bounded noise and delayed feedback in an excitable system. Eur. Phys. J. B 85, 182 (2012). https://doi.org/10.1140/epjb/e2012-30116-1

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