| 具有周期矩形信号的延迟非对称双稳系统的随机共振 |
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| 引用本文： | 郭永峰,申雅君,刘洪涛.具有周期矩形信号的延迟非对称双稳系统的随机共振[J].安徽大学学报(自然科学版),2015(1):8-14. |
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| 作者姓名： | 郭永峰 申雅君 刘洪涛 |
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| 作者单位： | 1. 天津工业大学 理学院,天津,300387;2. 西安外事学院 经济管理学院,陕西 西安,710077 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 在绝热近似条件下研究了具有周期矩形信号的延迟非对称双稳系统的随机共振现象.通过小时间延迟近似方法得到了非对称双稳系统的FPK方程,并推导得出了系统在延迟情况下的信噪比表达式,进一步研究了加性噪声强度Q、乘性噪声强度D、静态非对称性r、延迟时间τ以及噪声强度比率R对信噪比SNR的影响.研究发现在延迟情况下,改变加性噪声强度比改变乘性噪声强度更容易产生随机共振,且延迟时间对信噪比的影响是与噪声强度有关的.
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| 关 键 词： | 随机共振 时间延迟 FPK 方程 周期矩形信号 信噪比 |
Stochastic resonance in a time-delayed asymmetric bistable system with periodic rectangular signal |
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| GUO Yong-feng,SHEN Ya-jun,LIU Hong-tao.Stochastic resonance in a time-delayed asymmetric bistable system with periodic rectangular signal[J].Journal of Anhui University(Natural Sciences),2015(1):8-14. |
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| Authors: | GUO Yong-feng SHEN Ya-jun LIU Hong-tao |
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| Institution: | GUO Yong-feng;SHEN Ya-jun;LIU Hong-tao;School of Science,Tianjin Polytechnic University;Economic and Management School,Xi’an International University; |
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| Abstract: | We studied the phenomenon of stochastic resonance (SR ) in a time‐delayed asymmetric bistable system with periodic rectangular signal in the adiabatic limit .A general approximate Fokker‐Planck equation and the expression of the signal‐to‐noise ratio (SNR) were derived through the small time delay approximation .The effects of the additive noise intensity Q ,multiplicative noise intensity D ,static asymmetry r ,delay time τ and noise intensity ratio R on the SNR were discussed .It was found that adjusting the additive noise intensity Q was more sensitive than adjusting the multiplicative noise intensity D to control SR .Moreover ,the effects of the delay time τ on the SNR depended on the noise intensity . |
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| Keywords: | stochastic resonance time delay FPK equation periodic rectangular signal signal-to-noise ratio |
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