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The Availability of Logical Operation Induced by Dichotomous Noise for a Nonlinear Bistable System

  • Yong Xu
  • , Xiaoqin Jin
  • , Huiqing Zhang
  • , Tingting Yang
  • Department of Applied Mathematics
  • Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

Instead of a continuous system driven by Gaussian white noise, logical stochastic resonance will be investigated in a nonlinear bistable system with two thresholds driven by dichotomous noise, which shows a phenomenon different from Gaussian white noise. We can realize two parallel logical operations by simply adjusting the values of these two thresholds. Besides, to quantify the reliability of obtaining the correct logic output, we numerically calculate the success probability, and effects of dichotomous noise on the success probability are observed, these observations show that the reliability of realizing logical operation in the bistable system can be improved through optimizing parameters of dichotomous noise.

Original languageEnglish
Pages (from-to)753-768
Number of pages16
JournalJournal of Statistical Physics
Volume152
Issue number4
DOIs
StatePublished - Aug 2013

Keywords

  • Dichotomous noise
  • Escape rate
  • Logical stochastic resonance
  • Nonlinear bistable system

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