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

Shilong Gao ()
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Shilong Gao: College of Mathematics and Information Science, Leshan Normal University

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 4, 1-6

Abstract: 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.

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1140/epjb/e2016-70021-y

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