Stochastic resonance in a piecewise nonlinear system driven by colored correlated additive and multiplicative colored noises

Yan Fei Jin*, Bei Li

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number210501
JournalWuli Xuebao/Acta Physica Sinica
Volume63
Issue number21
DOIs
Publication statusPublished - 5 Nov 2014

Keywords

  • A piecewise nonlinear system
  • Colored noise
  • Stochastic resonance

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