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Stochastic resonance in discrete excitable dynamics on graphs

Author

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  • Hütt, Marc-Thorsten
  • Jain, Mitul K.
  • Hilgetag, Claus C.
  • Lesne, Annick

Abstract

How signals propagate through a network as a function of the network architecture and under the influence of noise is a fundamental question in a broad range of areas dealing with signal processing - from neuroscience to electrical engineering and communication technology. Here we use numerical simulations and a mean-field approach to analyze a minimal dynamic model for signal propagation. By labeling and tracking the excitations propagating from a single input node to remote output nodes in random networks, we show that noise (provided by spontaneous node excitations) can lead to an enhanced signal propagation, with a peak in the signal-to-noise ratio at intermediate noise intensities. This network analog of stochastic resonance is not captured by a mean-field description that incorporates topology only on the level of the average degree, indicating that the detailed network topology plays a significant role in signal propagation.

Suggested Citation

  • Hütt, Marc-Thorsten & Jain, Mitul K. & Hilgetag, Claus C. & Lesne, Annick, 2012. "Stochastic resonance in discrete excitable dynamics on graphs," Chaos, Solitons & Fractals, Elsevier, vol. 45(5), pages 611-618.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:5:p:611-618
    DOI: 10.1016/j.chaos.2011.12.011
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    References listed on IDEAS

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    1. Daniel Geberth & Marc-Thorsten Hütt, 2009. "Predicting the Distribution of Spiral Waves from Cell Properties in a Developmental-Path Model of Dictyostelium Pattern Formation," PLOS Computational Biology, Public Library of Science, vol. 5(7), pages 1-10, July.
    2. Sándor Kádár & Jichang Wang & Kenneth Showalter, 1998. "Noise-supported travelling waves in sub-excitable media," Nature, Nature, vol. 391(6669), pages 770-772, February.
    3. Isham, Valerie & Harden, Simon & Nekovee, Maziar, 2010. "Stochastic epidemics and rumours on finite random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 561-576.
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    Cited by:

    1. Liu, Shujun & Yang, Ting & Zhang, Xinzheng, 2015. "Effects of stochastic resonance for linear–quadratic detector," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 319-331.

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