Delay induced transitions in an asymmetry bistable system and stochastic resonance

Zhang Huiqing, Xu Wei, Xu Yong, Zhou Bingchang

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)745-750
Number of pages6
JournalScience China: Physics, Mechanics and Astronomy
Volume53
Issue number4
DOIs
StatePublished - Apr 2010

Keywords

  • Correlated noises
  • Stochastic resonance
  • Time-delayed asymmetry bistable system

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