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

被引：0
作者：
Yong Xu
Xiaoqin Jin
Huiqing Zhang
Tingting Yang
机构：
[1] Northwestern Polytechnical University,Department of Applied Mathematics
来源：
Journal of Statistical Physics | 2013年 / 152卷
关键词：
Nonlinear bistable system; Escape rate; Logical stochastic resonance; Dichotomous noise;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：753 / 768
页数：15
相关论文
共 100 条
[1]  
Benzi R.(1981)The mechanism of stochastic resonance J. Phys. A, Math. Gen. 14 L453-L457
[2]  
Sutera A.(1998)Stochastic resonance Rev. Mod. Phys. 70 226-230
[3]  
Vulpiani A.(2001)Stochastic sensors inspired by biology Nature 413 4437-4441
[4]  
Gammaitoni L.(1996)Stochastic resonance in chemistry. 1. The Belousov-Zhabotinsky reaction J. Phys. Chem. 100 1052-1055
[5]  
Hänggi P.(1995)Stochastic resonance as a bona fide resonance Phys. Rev. Lett. 74 299-309
[6]  
Jung P.(2002)A review of stochastic resonance circuits and measurement IEEE Trans. Instrum. Meas. 51 25-27
[7]  
Marchesoni F.(2003)Stochastic resonance in linear regime of a single-model laser Chin. Phys. Lett. 20 147-153
[8]  
Bayley H.(2009)Realization of reliable and flexible logic gates using noisy nonlinear circuits Appl. Phys. Lett. 95 418-429
[9]  
Cremer P.S.(2011)Enhancement of “logical” responses by noise in a bistable optical system Phys. Rev. E 83 3371-3376
[10]  
Guderian A.(2009)Reliable logic circuit elements that exploit nonlinearity in the presence of a noise floor Phys. Rev. Lett. 102 2825-2834
12345678910