4.4 Article

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

Journal

JOURNAL OF STATISTICAL PHYSICS
Volume 152, Issue 4, Pages 753-768

Publisher

SPRINGER
DOI: 10.1007/s10955-013-0782-0

Keywords

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

Funding

  1. NSF of China [10972181, 11102157]
  2. Program for NCET
  3. Shaanxi Project for Young New Star in Science Technology
  4. NPU Foundation for Fundamental Research
  5. SRF for ROCS, SEM

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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.

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