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Delay induced transitions in an asymmetry bistable system and stochastic resonance

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文献出处
Science China(Physics  Mechanics & Astronomy)  2010年04期
基 金
supported,by,the,National,Natural,Science,Foundation,of,China,(Grant,No.,10872165,10972181),Natural,Science,Foundation,of,Shaanxi,Province,the,Youth,and,Aoxiang,Star,Plan,for,Northwestern,Polytechnical,University,Teachers’,Scientific,and,Technological,Innovation,Foundation,the,Doctorate,Creation,Foundation,of,Northwestern,Polytechnical,University
论文摘要

The delay Fokker-Planck equation is given for an asymmetry bistable system with correlated Gaussian white noises. The small delay approximation based on the probability density approach is used and the approximate stationary probability density function is obtained. The phenomenon of delay induced transitions is found. When a weak periodic signal is added, the phenomenon of stochastic resonance is investigated. Expression of the signal-to-noise ratio (SNR) is obtained by using the two-state theory. It is shown that the time delay can suppress or promote the stochastic resonance phenomenon.

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