中国物理B ›› 2003, Vol. 12 ›› Issue (4): 377-380.doi: 10.1088/1009-1963/12/4/306

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Stochastic resonance in parabolic-bistable potential system with an additive colour noise

梁贵云   

  1. National Astronomical Observatories, Chinese Academy of Science, Beijing 100012, China; Laboratory of Optical Physics, Institute of Physics, Chinese Academy of Science, Beijing 100080, China
  • 收稿日期:2002-10-18 修回日期:2002-11-25 出版日期:2003-04-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 19975020).

Stochastic resonance in parabolic-bistable potential system with an additive colour noise

Liang Gui-Yun (梁贵云)ab   

  1. a National Astronomical Observatories, Chinese Academy of Science, Beijing 100012, China;  b Laboratory of Optical Physics, Institute of Physics, Chinese Academy of Science, Beijing 100080, China
  • Received:2002-10-18 Revised:2002-11-25 Online:2003-04-16 Published:2005-03-16
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 19975020).

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摘要： We propose a new model (parabolic bistable system) with a colour noise source. In the presence of periodic input signal, we investigate the output signal to-noise ratio and the power spectral density of output signal, in which the self-correlation time may be an arbitrary value with no restriction. We find that the curves of signal-to-noise ratio versus the noise intensity D exhibits a bell-shape behaviour. The peak height increases with the increasing value of amplitude A_0 of the input signal. However, the position of peak does not shift. Moreover, the signal-to-noise ratio is insensitive to the modulation frequency Ω, which completely differs from result of Ref.[6]. The power spectral density also has similar behaviour.

Abstract: We propose a new model (parabolic bistable system) with a colour noise source. In the presence of periodic input signal, we investigate the output signal to-noise ratio and the power spectral density of output signal, in which the self-correlation time may be an arbitrary value with no restriction. We find that the curves of signal-to-noise ratio versus the noise intensity D exhibits a bell-shape behaviour. The peak height increases with the increasing value of amplitude A0 of the input signal. However, the position of peak does not shift. Moreover, the signal-to-noise ratio is insensitive to the modulation frequency $\varOmega$, which completely differs from result of Ref.[6]. The power spectral density also has similar behaviour.

Key words: stochastic resonance, parabolic-bistable potential, signal-to-noise ratio

中图分类号:  (Noise)

  • 05.40.Ca
02.50.Ey (Stochastic processes)