Effect of signal modulating noise in bistable stochastic dynamical systems

doi:10.1088/1009-1963/12/9/304

中国物理B ›› 2003, Vol. 12 ›› Issue (9): 946-950.doi: 10.1088/1009-1963/12/9/304

Effect of signal modulating noise in bistable stochastic dynamical systems

张新武¹, 肖方红², 闫桂荣²

(1)China Academy of Engineering Physics, Mianyang 610003, China; (2)School of Civil Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2003-04-01 修回日期:2003-05-07 出版日期:2003-09-16 发布日期:2005-03-16
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 10276032), and the Science Foundation of China Academy of Engineering Physics NSAF.

Effect of signal modulating noise in bistable stochastic dynamical systems

Xiao Fang-Hong (肖方红)^a, Yan Gui-Rong (闫桂荣)^a, Zhang Xin-Wu (张新武)^b

^a School of Civil Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, China; ^b China Academy of Engineering Physics, Mianyang 610003, China

Received:2003-04-01 Revised:2003-05-07 Online:2003-09-16 Published:2005-03-16
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 10276032), and the Science Foundation of China Academy of Engineering Physics NSAF.

摘要/Abstract

摘要： The effect of signal modulating noise in bistable stochastic dynamical systems is studied. The concept of instantaneous steady state is proposed for bistable dynamical systems. By making a dynamical analysis of bistable stochastic systems, we find that global and local effect of signal modulating noise as well as stochastic resonance can occur in bistable dynamical systems on which both a weak sinusoidal signal and noise are forced. The effect is demonstrated by numerical simulation.

Abstract: The effect of signal modulating noise in bistable stochastic dynamical systems is studied. The concept of instantaneous steady state is proposed for bistable dynamical systems. By making a dynamical analysis of bistable stochastic systems, we find that global and local effect of signal modulating noise as well as stochastic resonance can occur in bistable dynamical systems on which both a weak sinusoidal signal and noise are forced. The effect is demonstrated by numerical simulation.

Key words: bistable systems, effect of signal modulating noise, instantaneous steady state, stochastic resonance

中图分类号: (Stochastic processes)

02.50.Ey

05.40.Ca (Noise) 05.10.Gg (Stochastic analysis methods) 02.60.-x (Numerical approximation and analysis)

肖方红, 闫桂荣, 张新武. Effect of signal modulating noise in bistable stochastic dynamical systems[J]. 中国物理B, 2003, 12(9): 946-950.

Xiao Fang-Hong (肖方红), Yan Gui-Rong (闫桂荣), Zhang Xin-Wu (张新武). Effect of signal modulating noise in bistable stochastic dynamical systems[J]. Chinese Physics, 2003, 12(9): 946-950.

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Effect of signal modulating noise in bistable stochastic dynamical systems

Effect of signal modulating noise in bistable stochastic dynamical systems

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