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Chinese Physics, 2003, Vol. 12(9): 946-950    DOI: 10.1088/1009-1963/12/9/304
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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
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.
Keywords:  bistable systems      effect of signal modulating noise      instantaneous steady state      stochastic resonance  
Received:  01 April 2003      Revised:  07 May 2003      Accepted manuscript online: 
PACS:  02.50.Ey (Stochastic processes)  
  05.40.Ca (Noise)  
  05.10.Gg (Stochastic analysis methods)  
  02.60.-x (Numerical approximation and analysis)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10276032), and the Science Foundation of China Academy of Engineering Physics NSAF.

Cite this article: 

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 2003 Chinese Physics 12 946

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