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Optimal signal-to-noise ratio in stochastic time-delayed bistable systems

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Abstract

We study the optimal signal-to-noise ratio in a stochastic time-delayed bistable system. By using the small delay approximation, we transform the time-delayed system into stochastic nondelayed differential equations to obtain the analytic expressions of the signal-to-noise ratio in different mechanisms. In the valid range of small delay approximation, we compare the peak values of signal-to-noise ratio curves and obtain the optimal signal-to-noise ratio. From the results, we find that the interplay of time delay and noise has a great influence on time-delayed bistable systems.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Leshan Normal University, Leshan, 614000, P.R. China

    Shilong Gao

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  1. Shilong Gao
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Correspondence to Shilong Gao.

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Gao, S. Optimal signal-to-noise ratio in stochastic time-delayed bistable systems. Eur. Phys. J. B 89, 94 (2016). https://doi.org/10.1140/epjb/e2016-70021-y

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  • DOI: https://doi.org/10.1140/epjb/e2016-70021-y

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