https://doi.org/10.1140/epjd/e2012-20151-5
Regular Article
Stochastic resonance driven by time-delayed feedback in a bistable system with colored noise
1
Suzhou University, Jiangsu
215000, P.R.
China
2
Nanjing Institute of Railway Technology,
Jiangsu
215000, P.R.
China
a e-mail: xiaohuigu1107@sina.com
Received:
11
March
2011
Received in final form:
1
June
2011
Published online:
27
March
2012
The phenomenon of stochastic resonance (SR) driven by time-delayed feedback in a bistable system with colored noise is investigated. Combining the small time delay and unified colored noise approximation, the Fokker-Planck equation is obtained. The different effects of time delay and noise correlation time on stationary probability density and signal-to-noise ratio (SNR) are discussed respectively. It is found that time delay can markedly improve the output SNR. This method can be practically applied to many fields such as weak signal extraction, recovery and so on. Numerical simulations are presented and are in agreement with the approximate theoretical results.
Key words: Nonlinear Dynamics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2012