Open AccessStochastic resonance in a piecewise nonlinear system driven by colored correlated additive and multiplicative colored noises
Author(s) -
Yanfei Jin,
Bei Li
Publication year - 2014
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.63.210501
Subject(s) - multiplicative function , colored , stochastic resonance , colors of noise , piecewise , nonlinear system , multiplicative noise , resonance (particle physics) , statistical physics , signal (programming language) , physics , noise (video) , mathematics , mathematical analysis , computer science , statistics , white noise , quantum mechanics , transmission (telecommunications) , telecommunications , materials science , image (mathematics) , signal transfer function , artificial intelligence , analog signal , composite material , programming language
In this paper, we study the stochastic resonance in a piecewise nonlinear system driven by a periodic signal and colored noises, which is described by multiplicative and additive colored noises with colored cross-correlation. Using the two-state theory and the unified colored approximation, we can derive the analytical expressions of the steady-state probability density and the signal-to-noise ratio (SNR). Effects of colored noises and the periodic signal on SNR are presented. It is found that the conventional stochastic resonance and bona-fide stochastic resonance may exist in this system. Moreover, the value of the SNR peak decreases with increasing correlation time and correlation between the additive and multiplicative noises.