Stochastic resonance in an asymmetric bistable system driven by coloured noises

doi:10.1088/1674-1056/19/5/050504

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 50504-050504.doi: 10.1088/1674-1056/19/5/050504

Stochastic resonance in an asymmetric bistable system driven by coloured noises

杨建华, 刘先斌

Institute of Vibration Engineering Research, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

收稿日期:2009-09-14 修回日期:2009-10-27 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~10672074).

Stochastic resonance in an asymmetric bistable system driven by coloured noises

Yang Jian-Hua(杨建华) and Liu Xian-Bin(刘先斌)^†

Institute of Vibration Engineering Research, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2009-09-14 Revised:2009-10-27 Online:2010-05-15 Published:2010-05-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~10672074).

摘要/Abstract

摘要： The phenomenon of stochastic resonance is investigated in an asymmetric bistable system with coloured noises. The approximate Fokker--Planck equation is derived based on the Novikov theorem and the Fox approach. By applying the two-state theory, the expression of the signal-to-noise ratio is obtained in the adiabatic limit. The effects of the noise parameters on signal-to-ratio are discussed. It is found that the stochastic resonance phenomena appear in most cases and disappear in some special cases.

Abstract: The phenomenon of stochastic resonance is investigated in an asymmetric bistable system with coloured noises. The approximate Fokker--Planck equation is derived based on the Novikov theorem and the Fox approach. By applying the two-state theory, the expression of the signal-to-noise ratio is obtained in the adiabatic limit. The effects of the noise parameters on signal-to-ratio are discussed. It is found that the stochastic resonance phenomena appear in most cases and disappear in some special cases.

Key words: stochastic resonance, asymmetric bistable system, coloured noises

中图分类号: (Noise)

05.40.Ca

02.50.Ey (Stochastic processes) 02.30.Jr (Partial differential equations)

杨建华, 刘先斌. Stochastic resonance in an asymmetric bistable system driven by coloured noises[J]. 中国物理B, 2010, 19(5): 50504-050504.

Yang Jian-Hua(杨建华) and Liu Xian-Bin(刘先斌). Stochastic resonance in an asymmetric bistable system driven by coloured noises[J]. Chin. Phys. B, 2010, 19(5): 50504-050504.

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Stochastic resonance in an asymmetric bistable system driven by coloured noises

Stochastic resonance in an asymmetric bistable system driven by coloured noises

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