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Non-Gaussian, non-dynamical stochastic resonance

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  • Krzysztof Szczepaniec
  • Bartłomiej Dybiec

Abstract

The classical model revealing stochastic resonance is a motion of an overdamped particle in a double-well fourth order potential when combined action of noise and external periodic driving results in amplifying of weak signals. Resonance behavior can also be observed in non-dynamical systems. The simplest example is a threshold triggered device. It consists of a periodic modulated input and noise. Every time an output crosses the threshold the signal is recorded. Such a digitally filtered signal is sensitive to the noise intensity. There exists the optimal value of the noise intensity resulting in the “most” periodic output. Here, we explore properties of the non-dynamical stochastic resonance in non-equilibrium situations, i.e. when the Gaussian noise is replaced by an α-stable noise. We demonstrate that non-equilibrium α-stable noises, depending on noise parameters, can either weaken or enhance the non-dynamical stochastic resonance. Copyright The Author(s) 2013

Suggested Citation

  • Krzysztof Szczepaniec & Bartłomiej Dybiec, 2013. "Non-Gaussian, non-dynamical stochastic resonance," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 86(11), pages 1-6, November.
    • Handle: RePEc:spr:eurphb:v:86:y:2013:i:11:p:1-6:10.1140/epjb/e2013-40619-8
    DOI: 10.1140/epjb/e2013-40619-8
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    References listed on IDEAS

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    1. Aleksander Janicki, 1996. "Numerical and Statistical Approximation of Stochastic Differential Equations with Non-Gaussian Measures," HSC Books, Hugo Steinhaus Center, Wroclaw University of Science and Technology, number hsbook9601, December.
    2. Aleksander Janicki & Aleksander Weron, 1994. "Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes," HSC Books, Hugo Steinhaus Center, Wroclaw University of Science and Technology, number hsbook9401, December.
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