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
[11]  
Dechert G.(2011)Logical signals driven stochastic resonance in bistable dynamics subjected to 1/f noise floor Eur. Phys. J. B 80 531-539
[12]  
Zeyer K.P.(2011)Noise-free logical stochastic resonance Phys. Rev. E 84 467-483
[13]  
Schneider F.W.(2011)Logical stochastic resonance with correlated internal and external noises in a synthetic biological logic block Chaos 21 1131-1157
[14]  
Gammaitoni L.(2007)Signal amplification in a nanomechanical Duffing resonator via stochastic resonance Appl. Phys. Lett. 90 2434-2437
[15]  
Marchesoni F.(2010)Numerical implementation of a VCSEL-based stochastic logic gate via polarization bistability Opt. Express 18 4049-4058
[16]  
Santucci S.(2009)Stochastic resonance in a stochastic bistable system subject to additive white noise and dichotomous noise Physica A 388 2024-2029
[17]  
Harmer G.P.(2010)Geometric stochastic resonance Phys. Rev. Lett. 104 1272-1275
[18]  
Davis B.R.(2011)Geometric stochastic resonance in a double cavity Phys. Rev. E 84 3349-3356
[19]  
Abbott D.(2007)Biased diffusion in confined media: test of the Fick-Jacobs approximation and validity criteria Phys. Rev. E 75 424-434
[20]  
Zhang L.Y.(2006)Langevin dynamics with dichotomous noise; direct simulation and applications J. Stat. Mech. 3 undefined-undefined