Eur. Phys. J. D (2012) 66: 67
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

Abstract

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.