| 色高斯噪声驱动双稳系统的多重随机共振研究 |
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| 引用本文： | 张晓燕,徐伟,周丙常. 色高斯噪声驱动双稳系统的多重随机共振研究[J]. 物理学报, 2011, 60(6): 60514-060514 |
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| 作者姓名： | 张晓燕 徐伟 周丙常 |
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| 作者单位： | 西北工业大学应用数学系,西安 710072 |
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| 基金项目： | 国家自然科学基金(批准号:10872165)资助的课题. |
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| 摘 要： | 研究了由色关联乘性和加性色噪声作用下的双稳系统的随机共振问题,在绝热近似条件下得到了信噪比的表达式.通过分析所得的初始条件为 x(0)=x+ 时的信噪比,发现了单随机共振和多重随机共振现象;分析了噪声强度、噪声关联时间和关联强度对系统信噪比的影响.关键词：多重随机共振信噪比双稳模型色关联色噪声
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| 关 键 词： | 多重随机共振 信噪比 双稳模型 色关联色噪声 |
| 收稿时间： | 2011-01-03 |
Effect of gaussian color-correlated colored noise on stochastic multiresonance of a bistable system |
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| Zhang Xiao-Yan,Xu Wei,Zhou Bing-Chang. Effect of gaussian color-correlated colored noise on stochastic multiresonance of a bistable system[J]. Acta Physica Sinica, 2011, 60(6): 60514-060514 |
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| Authors: | Zhang Xiao-Yan Xu Wei Zhou Bing-Chang |
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| Affiliation: | Zhang Xiao-Yan Xu Wei Zhou Bing-Chang (Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China) |
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| Abstract: | We investigate the stochastic resonance of the bistable system driven by multiplicative and additive colored noises with colored cross-correlation. The expression of signal-to-noise ratio (SNR) is obtained by using the adiabatic limit. Through analyzing SNR with the initial condition of x(0)=x+ , we find the stochastic resonance and the stochastic multiresonance. We also find the effects of the noise intensity, the cross-correlation intensity and the correlation time of the noise on the SNR. |
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| Keywords: | stochastic multiresonance signal-to-noise ratio bistable system color-correlated colored noise |
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