| 周期矩形信号作用下时滞非对称单稳系统 的随机共振 |
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| 引用本文： | 张晓燕,徐伟,周丙常.周期矩形信号作用下时滞非对称单稳系统 的随机共振[J].物理学报,2012,61(3):30501-030501. |
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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： | 研究了周期矩形信号对时滞非对称单稳系统随机共振的影响,系统中加入的噪声均为Gauss白噪声.得到了信噪比的解析表达式,通过分析信噪比曲线发现系统存在随机共振现象.数值结果还表明乘性与加性噪声强度对信噪比的影响是不同的,在SNR-D参数平面上共振与抑制共存.在信噪比随着时滞量变化的曲线图上发现,当系统的非对称性|r|取值很大或者乘性与加性噪声强度比D/α小于1时,参数平面上的随机共振现象会消失.
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| 关 键 词： | 时滞非对称单稳系统 随机共振 周期矩形信号 |
| 收稿时间： | 3/7/2011 12:00:00 AM |
Stochastic resonance in a time-delayed asymmetric mono-stable system modulated by periodic rectangular signal |
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| Zhang Xiao-Yan,Xu Wei and Zhou Bing-Chang.Stochastic resonance in a time-delayed asymmetric mono-stable system modulated by periodic rectangular signal[J].Acta Physica Sinica,2012,61(3):30501-030501. |
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| Authors: | Zhang Xiao-Yan Xu Wei and Zhou Bing-Chang |
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| Institution: | Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China;Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China;Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China |
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| Abstract: | We investigate the stochastic resonance of the time-delayed mono-stable system modulated by periodic rectangular signal and Gaussian white noises.The expression of signal-to-noise ratio(SNR) is obtained,and the stochastic resonance phenomenon is found in this system.The study shows that the effects of multiplicative intensily and white noise intensity on S N R are different.In the S N R-D plot,the phenomena of resonance and suppression coexist.When the value of the bias of system |r| is bigger or the ratio of multiplicative intensily to white noise intensity D/αis less than 1,the stochastic resonance phenomenon in the SNR-τplots disappears. |
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| Keywords: | the time-delayed asymmetric mono-stable system stochastic resonance periodic rectangular signal |
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