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
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2016