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 language | English |
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Article number | 210501 |
Journal | Wuli Xuebao/Acta Physica Sinica |
Volume | 63 |
Issue number | 21 |
DOIs | |
Publication status | Published - 5 Nov 2014 |
Keywords
- A piecewise nonlinear system
- Colored noise
- Stochastic resonance