| Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise |
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| 引用本文： | 宁丽娟,徐 伟,姚明礼. Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise[J]. 中国物理 B, 2008, 17(2): 486-491 |
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| 作者姓名： | 宁丽娟 徐 伟 姚明礼 |
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| 作者单位： | Department of Applied Mathematics, NorthwesternPolytechnical University, Xi'an 710072, China;Department of Applied Mathematics, NorthwesternPolytechnical University, Xi'an 710072, China;Department of Applied Mathematics, NorthwesternPolytechnical University, Xi'an 710072, China |
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| 基金项目： | Projectsupported by the National Natural Science Foundation of China (GrantNos 10472091 and 10332030) and by the Natural Science Foundation ofShaanxi Province (Grant No 2003A03). |
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| 摘 要： | This paper investigates the stochastic resonance （SR） phenomenon in an asymmetric system with coupling between multiplicative and additive noise when the coupling between two noise terms is coloured. The approximate expression of signal-to-noise ratio has been obtained by applying the two-state theory and SR exhibits in the bistable system. Moreover, the potential asymmetry r and cross-correlation strength λ can weaken the SR phenomenon, while the cross-correlation time r can strengthen the SR phenomenon.
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| 关 键 词： | 随机共振 不对称双稳系统 信噪比 声学 |
| 收稿时间： | 2007-04-11 |
| 修稿时间： | 2007-07-10 |
Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise |
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| Ning Li-Juan,Xu Wei and Yao Ming-Li. Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise[J]. Chinese Physics B, 2008, 17(2): 486-491 |
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| Authors: | Ning Li-Juan Xu Wei Yao Ming-Li |
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| Affiliation: | Department of Applied Mathematics, NorthwesternPolytechnical University, Xi'an 710072, China |
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| Abstract: | This paper investigates the stochastic resonance (SR) phenomenon inan asymmetric system with coupling between multiplicative andadditive noise when the coupling between two noise terms is coloured.The approximate expression of signal-to-noise ratio has been obtainedby applying the two-state theory and SR exhibits in the bistablesystem. Moreover, the potential asymmetry $r$ and cross-correlationstrength $lambda$ can weaken the SR phenomenon, while thecross-correlation time $tau $ can strengthen the SR phenomenon. |
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| Keywords: | stochastic resonance asymmetrybistable system signal-to-noise ratio |
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