Abstract The phenomenon of stochastic resonance (SR) in a bistable nonlinear system with coupling between additive and multiplicative noises is investigated when the correlation between two noise terms is coloured. It is found that the signal-to-noise ratio (SNR) of the system is affected not only by the coupling strength $\lambda$ between two noise terms, but also by the noise correlation time $\tau$. The SNR is changed from a single peak, to two peaks with a dip, and then to a monotonically decreasing function with noise strength. The dependence of the SR on the initial conditions is entirely caused by the coupling strength $\lambda$ between two noise terms.
Received: 13 November 2003
Revised: 05 April 2004
Accepted manuscript online:
Fund: Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No BK 2001138).
Cite this article:
Luo Xiao-Qin (罗晓琴), Zhu Shi-Qun (朱士群) Stochastic resonance in a bistable system with coloured correlation between additive and multiplicative noise 2004 Chinese Physics 13 1201
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