Stochastic resonance in discrete excitable dynamics on graphs

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

Chaos, Solitons & Fractals, 2012, vol. 45, issue 5, 611-618

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:5:p:611-618

DOI: 10.1016/j.chaos.2011.12.011

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