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二值噪声激励下耦合欠阻尼双稳系统的随机共振
引用本文:杨亭亭,张慧清.二值噪声激励下耦合欠阻尼双稳系统的随机共振[J].动力学与控制学报,2016,14(1):70-74.
作者姓名:杨亭亭  张慧清
作者单位:西北工业大学理学院,西安,710072
基金项目:国家自然科学基金资助项目(11102157)
摘    要:研究了二值噪声激励下耦合欠阻尼双稳系统的随机共振问题.首先,数值模拟二值噪声,研究了噪声参数对二值噪声输出的影响;其次,分析了噪声参数对系统输出的影响,发现随着噪声强度的增大,粒子可以在两个势阱之间进行跳跃,而且跳跃的频率随着噪声强度的增大而增大;最后,描述了噪声对系统输出功率谱以及信噪比的影响.结果发现在一定噪声强度下,功率谱的输出有峰的结构,并且峰值在关键的噪声处达到最大.特别地,对于不同的参数,信噪比的变化呈现非单调性,从而可以找到使信噪比峰值最大的最优参数.

关 键 词:二值噪声  耦合欠阻尼系统  随机共振  功率谱  信噪比
收稿时间:2015/1/16 0:00:00
修稿时间:2015/2/26 0:00:00

Stochastic resonance in coupled underdamped bistable systems driven by symmetric dichotomous noises
Yang Tingting and Zhang Huiqing.Stochastic resonance in coupled underdamped bistable systems driven by symmetric dichotomous noises[J].Journal of Dynamics and Control,2016,14(1):70-74.
Authors:Yang Tingting and Zhang Huiqing
Abstract:The stochastic resonance (SR) in coupled underdamped bistable systems induced by dichotomous noises is studied in this paper. Firstly, the effect of noise parameter on the system output is analyzed. For large noise intensity, the hopping of the particles between two potential wells is observed. In addition, with the increasing noise intensity, the switching between the two wells is found to increase. Finally, the effect of noise on the output power spectrum and spectral power of the system are characterized. It is found that the power spectrum of the system at some noise intensity has a sharp peak, and the peak value is maximized at a critical value of noise intensity. In particular, for different parameters, a non monotonic behavior of signal noise ratio (SNR) is shown. And the optimum system parameter is found where the SNR peak value reaches a maximum.
Keywords:dichotomous noise  coupled underdamped bistable systems  stochastic resonance  spectral power  signal noise ratio
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