中国物理B ›› 2004, Vol. 13 ›› Issue (8): 1201-1209.doi: 10.1088/1009-1963/13/8/004

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Stochastic resonance in a bistable system with coloured correlation between additive and multiplicative noise

罗晓琴, 朱士群   

  1. School of Physical Science and Technology, Suzhou University, Suzhou, 215006, China
  • 收稿日期:2003-11-13 修回日期:2004-04-05 出版日期:2004-06-21 发布日期:2005-06-21
  • 基金资助:
    Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No BK 2001138).

Stochastic resonance in a bistable system with coloured correlation between additive and multiplicative noise

Luo Xiao-Qin (罗晓琴), Zhu Shi-Qun (朱士群)   

  1. School of Physical Science and Technology, Suzhou University, Suzhou 215006, China
  • Received:2003-11-13 Revised:2004-04-05 Online:2004-06-21 Published:2005-06-21
  • Supported by:
    Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No BK 2001138).

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摘要： 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 λ between two noise terms, but also by the noise correlation time τ. 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 λ between two noise terms.

关键词: coloured correlation, signal-to-noise ratio, stochastic resonance

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.

Key words: coloured correlation, signal-to-noise ratio, stochastic resonance

中图分类号:  (Stochastic processes)

  • 02.50.Ey
05.45.-a (Nonlinear dynamics and chaos) 02.30.Hq (Ordinary differential equations) 02.60.-x (Numerical approximation and analysis)