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

TL;DR

This paper investigates how dichotomous noise influences logical stochastic resonance in a nonlinear bistable system, demonstrating the ability to perform logical operations and improve reliability by tuning noise parameters.

Contribution

It introduces the concept of logical stochastic resonance driven by dichotomous noise in a bistable system and shows how to optimize noise parameters for reliable logic operations.

Findings

Logical operations can be realized by adjusting thresholds.

Success probability depends on dichotomous noise parameters.

Reliability improves with parameter optimization.

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.