Array-enhanced logical stochastic resonance subject to colored noise

• Published in: Chinese journal of physics (Taipei) Vol. 55; no. 2; pp. 252 - 259
• Main Authors: Wang, Zhixiang, Qiao, Zijian, Zhou, Liguang, Zhang, Lei
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.04.2017
• Subjects: Array-enhanced; Colored noise; Correlation time; Logical stochastic resonance; 99-00; Correlation time; Array-enhanced; 00-01; Colored noise; Logical stochastic resonance
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2017.02.001

•Nonlinear sixth-order Boussinesq dynamical equation are considered.•Bi-directional propagation of small amplitude and long capillary-gravity waves are discussed.•Symmetrical, non-symmetrical kink, solitary pattern waves, jacobi and weiestrass elliptic function and triangular function solutions are obtained. This paper proposes an approach that uses a parallel array to improve the reliability and robustness of logical stochastic resonance subject to colored noise. The experimental results demonstrate that (i) the increase of array size can extend the optimal range of noise intensity and increase the maximum probability of obtaining correct logic operation. (ii) The optimal range of noise correlation time is broadened with the increase of array size. (iii) The main difference between logical stochastic resonance subject to white noise and colored noise is that the increase of noise correlation time broadens the optimal range of noise intensity when the stochastic noise is colored noise. At the same time, the maximum probability of obtaining correct logic operation is close to 1. Therefore, reliable and robust logic gate can be realized under a certain array size.