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Stochastic resonance in a bistable system with global delay and two noises

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Abstract

The global time delay is introduced into a bistable system driven by two noises and a periodic signal. The signal power amplification factor η is employed to characterise stochastic resonance (SR) of the system. Numerical simulation results indicate the following. (1) For a periodic signal with low frequency (Ω), the typical behaviour of the SR is lowered monotonically by increasing the delay time τ; for moderate Ω, τ enhances the SR behaviour and then weakens it, with a critical value at which the SR is optimum. (2) Multiplicative noise intensity D and additive noise intensity α have different influences on the SR performance, viz D enhances the SR monotonically while α enforces the SR initially and then restrains it; (3) correlation intensity λ between the two noises always weakens the SR behaviour of the system.

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Authors and Affiliations

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

    L. C. Du & D. C. Mei

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  1. L. C. Du
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  2. D. C. Mei
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Correspondence to D. C. Mei.

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Du, L.C., Mei, D.C. Stochastic resonance in a bistable system with global delay and two noises. Eur. Phys. J. B 85, 75 (2012). https://doi.org/10.1140/epjb/e2012-21053-0

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  • DOI: https://doi.org/10.1140/epjb/e2012-21053-0

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