Eur. Phys. J. B (2016) 89: 94
https://doi.org/10.1140/epjb/e2016-70021-y

Regular Article

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

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

^a e-mail: lunan1027@126.com

Received: 13 January 2016
Received in final form: 5 February 2016
Published online: 11 April 2016

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.