The correlation between stochastic resonance and theaverage phase-synchronization time of a bistable system driven bycolour-correlated noises

doi:10.1088/1674-1056/19/1/010502

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10502-010502.doi: 10.1088/1674-1056/19/1/010502

The correlation between stochastic resonance and theaverage phase-synchronization time of a bistable system driven bycolour-correlated noises

董小娟

Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China

收稿日期:2009-04-08 修回日期:2009-05-27 出版日期:2010-01-15 发布日期:2010-01-15

The correlation between stochastic resonance and the average phase-synchronization time of a bistable system driven by colour-correlated noises

Dong Xiao-Juan(董小娟)^†

Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China

Received:2009-04-08 Revised:2009-05-27 Online:2010-01-15 Published:2010-01-15

摘要/Abstract

摘要： This paper investigates the correlation between stochastic resonance (SR) and the average phase-synchronization time which is between the input signal and the output signal in a bistable system driven by colour-correlated noises. The results show that the output signal-to-noise ratio can reach a maximum with the increase of the average phase-synchronization time, which may be helpful for understanding the principle of SR from the point of synchronization; however, SR and the maximum of the average phase-synchronization time appear at different optimal noise level, moreover, the effects on them of additive and multiplicative noise are different.

Abstract: This paper investigates the correlation between stochastic resonance (SR) and the average phase-synchronization time which is between the input signal and the output signal in a bistable system driven by colour-correlated noises. The results show that the output signal-to-noise ratio can reach a maximum with the increase of the average phase-synchronization time, which may be helpful for understanding the principle of SR from the point of synchronization; however, SR and the maximum of the average phase-synchronization time appear at different optimal noise level, moreover, the effects on them of additive and multiplicative noise are different.

Key words: stochastic resonance, phase-synchronization, signal-to-noise ratio, average phase-synchronization time

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

02.50.Ey (Stochastic processes) 05.40.Ca (Noise)

董小娟. The correlation between stochastic resonance and theaverage phase-synchronization time of a bistable system driven bycolour-correlated noises[J]. 中国物理B, 2010, 19(1): 10502-010502.

Dong Xiao-Juan(董小娟). The correlation between stochastic resonance and the average phase-synchronization time of a bistable system driven by colour-correlated noises[J]. Chin. Phys. B, 2010, 19(1): 10502-010502.

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The correlation between stochastic resonance and theaverage phase-synchronization time of a bistable system driven bycolour-correlated noises

The correlation between stochastic resonance and the average phase-synchronization time of a bistable system driven by colour-correlated noises

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