Effects of time delay on stochastic resonance of a periodically driven linear system with multiplicative and periodically modulated additive white noises

doi:10.1088/1674-1056/18/3/018

中国物理B ›› 2009, Vol. 18 ›› Issue (3): 946-951.doi: 10.1088/1674-1056/18/3/018

Effects of time delay on stochastic resonance of a periodically driven linear system with multiplicative and periodically modulated additive white noises

杜鲁春, 梅冬成

Department of Physics, Yunnan University, Kunming 650091, China

收稿日期:2008-06-10 修回日期:2008-10-31 出版日期:2009-03-20 发布日期:2009-03-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 10865006).

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

Received:2008-06-10 Revised:2008-10-31 Online:2009-03-20 Published:2009-03-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 10865006).

摘要/Abstract

摘要： 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.

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.

Key words: linear system, time delay, stochastic resonance

中图分类号: (Noise)

05.40.Ca

02.50.Ey (Stochastic processes) 05.45.-a (Nonlinear dynamics and chaos)

杜鲁春, 梅冬成. Effects of time delay on stochastic resonance of a periodically driven linear system with multiplicative and periodically modulated additive white noises[J]. 中国物理B, 2009, 18(3): 946-951.

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[J]. Chin. Phys. B, 2009, 18(3): 946-951.

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Effects of time delay on stochastic resonance of a periodically driven linear system with multiplicative and periodically modulated additive white noises

Effects of time delay on stochastic resonance of a periodically driven linear system with multiplicative and periodically modulated additive white noises

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