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Influence of Coupling Delay on Noise Induced Coherent Oscillations in Excitable Systems

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Abstract

Influence of small time-delays in coupling between noisy excitable systems on the coherence resonance and self-induced stochastic resonance is studied. Parameters of delayed coupled deterministic excitable units are chosen such that the system has only one attractor, namely the stationary state, for any value of the coupling and the time-lag. Addition of white noise induces qualitatively different types of coherent oscillations, and we analyzed the influence of coupling time-delay on the properties of these coherent oscillations. The main conclusion is that time-lag τ≥1, but still smaller than the refractory period, and sufficiently strong coupling drastically change signal to noise ratio in the quantitative and qualitative way. An interval of noise values implies quite large signal to noise ratio and different types of noise induced coherence are greatly enhanced. We also observed coincident spiking for small noise intensity and time-lag proportional to the inter-spike interval of the coherent spike trains. On the other hand, time-lags τ<1 and/or weak coupling induce negligible changes in the properties of the stochastic coherence.

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Authors and Affiliations

  1. Institute of Physics, University of Beograd, PO Box 68, 11080, Beograd-Zemun, Serbia

    Nikola Burić

  2. Department of Applied Mathematics, Faculty of Mining and Geology, University of Belgrade, PO Box 162, Belgrade, Serbia

    Ines Grozdanović & Nebojša Vasović

  3. Department of Physics and Mathematics, Faculty of Pharmacy, University of Belgrade, Vojvode Stepe 450, Belgrade, Serbia

    Kristina Todorović

Authors
  1. Nikola Burić
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  2. Ines Grozdanović
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  3. Kristina Todorović
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  4. Nebojša Vasović
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Correspondence to Nikola Burić.

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Burić, N., Grozdanović, I., Todorović, K. et al. Influence of Coupling Delay on Noise Induced Coherent Oscillations in Excitable Systems. J Stat Phys 145, 175 (2011). https://doi.org/10.1007/s10955-011-0316-6

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  • DOI: https://doi.org/10.1007/s10955-011-0316-6

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