Effects of time delay on stochastic resonance of a periodically driven linear system with multiplicative and periodically modulated additive white noises
Du Lu-Chun(杜鲁春) and Mei Dong-Cheng(梅冬成)†
Department of Physics, Yunnan University, Kunming 650091, China
Abstract Stochastic resonance (SR) of a periodically driven time-delayed linear system with multiplicative white noise and periodically modulated additive white noise is investigated. In the condition of small delay time, an approximate analytical expression of output signal-to-noise ratio (SNR) is obtained. The analytical results indicate that (1) there exists a resonance peak in the curve for SNR versus time delay; (2) the time delay will suspend the SR dramatically for SNR versus other parameters of the system, such as noise intensity, correlation intensity, and signal frequency, once a certain value is reached, the SR phenomenon disappears.
Received: 10 June 2008
Revised: 31 October 2008
Accepted manuscript online:
Fund: Project supported by
the National Natural Science Foundation of China (Grant No 10865006).
Cite this article:
Du Lu-Chun(杜鲁春) and Mei Dong-Cheng(梅冬成) Effects of time delay on stochastic resonance of a periodically driven linear system with multiplicative and periodically modulated additive white noises 2009 Chin. Phys. B 18 946
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