Journal ArticleDOI
Effect of colored noise on logical stochastic resonance in bistable dynamics.
Lei Zhang,Aiguo Song,Jun He +2 more
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TLDR
This paper considers the logical stochastic resonance (LSR) phenomenon in a bistable system by cycling various combinations of two logic inputs, in the presence of exponentially correlated noise, and shows that the LSR effect can be obtained by changing noise intensity.Abstract:
Recently, Murali et al. [Phys. Rev. Lett. 102, 104101 (2009)] showed that some noisy nonlinear dynamics could be exploited to design nonlinear logic gate based on stochastic resonance (SR). In the paper, inspired by the Murali et al.'s articles, we consider the logical stochastic resonance (LSR) phenomenon in a bistable system by cycling various combinations of two logic inputs, in the presence of exponentially correlated noise. The effect of the colored noise on the LSR is evaluated by the success probability of obtained desired logic output. The two major results are presented. First, it shows that the LSR effect can be obtained by changing noise intensity. The logic output is obtained most reliably at an intermediate noise band. There is still a plateau on performance curve of the success probability versus noise intensity. As correlation time increases, the optimal noise band shifts to higher level and peak performance is degraded from 100% accuracy. Due to the influence of the colored noise, the plateau is a bit low and not completely flat. On the other hand, the performance measure can evolve nonmonotonically as correlation time increases, and a SR-like effect is obtained as a result of correlation time. It shows that actually some finite correlation time is better than delta correlation time at certain noise intensities. The study might provide an example where LSR phenomenon can exist robustly in the presence of colored noise.read more
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Journal ArticleDOI
Effects of non-Gaussian noise on logical stochastic resonance in a triple-well potential system
TL;DR: In this article, the effects of non-Gaussian noise on logical stochastic resonance have been discussed, and the reliability of the logic operation is dependent on the parameter q that indicates the departure from Gaussianity.
Journal ArticleDOI
Logical stochastic resonance in triple-well potential systems driven by colored noise
TL;DR: It is shown that LSR can be successfully induced by additive or multiplicative Gaussian colored noise in some cases and the flexible and reliable logic behavior can be yielded for a = 0 due to the fact that the multiplicativeGaussiancolored noise strongly affects the shape of the potential function.
Journal ArticleDOI
Manipulating potential wells in Logical Stochastic Resonance to obtain XOR logic
TL;DR: This strategy widens the scope of LSR from the application point of view, as XOR forms the basis of ubiquitous bit-by-bit addition, and conceptually, showing the ability to yield non-monotonic input–output logic associations.
Journal ArticleDOI
Stochastic resonance in a fractional oscillator with random damping strength and random spring stiffness
Guitian He,Yan Tian,Yan Wang +2 more
TL;DR: In this article, the stochastic resonance (SR) mechanism of a fractional oscillator with random damping and random spring stiffness is extensively investigated using the Shapiro-Loginov formula and the Laplace transformation technique.