Eur. Phys. J. B (2017) 90: 117
https://doi.org/10.1140/epjb/e2017-80150-4

Regular Article

The effect of time-delayed feedback on logical stochastic resonance

¹ College of Information Science and Engineering, Ocean University of China, Qingdao 266100, P.R. China
² School of Instrument Science and Engineering, Southeast University, Sipailou 2, Nanjing 210096, P.R. China
³ School of Information Science and Engineering, Changzhou University, Gehu Road 1, Changzhou 213164, P.R. China

^a e-mail: wangnanseu@163.com

Received: 14 March 2017
Received in final form: 27 April 2017
Published online: 19 June 2017

Abstract

We examine the possibility of obtaining logic operation in a quartic-bistable system with linear time-delayed feedback subjected to Gaussian noise. The effect of time-delayed feedback on the effective potential well is investigated, and explicit numerical stimulation is conducted to study the influence of delay time and strength of the time-delayed feedback on the responses of the system. Although the response deteriorates slightly at low values of noise intensity with time-delayed feedback and the peak correct probability decreases from 100% when the delay time is too long, the reliability of obtaining the desired logic output is enhanced in the higher noise boundary with the help of moderate time-delayed feedback. We also found that increasing the linear factor of the system can shift the optimal noise intensity to a higher level.