A New Quantity to Characterize Stochastic Resonance

In a double-well system, we investigate theoretically the population distribution of a particle perturbed by a weak sinusoidal signal with a Gaussian white noise accompanied. Our numerical simulation shows that the probability of the particle staying in the right potential well, Pn, exhibits an extr...

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Bibliographic Details
Published in:Chinese physics letters 2015-09, Vol.32 (9), p.119-122, Article 97401
Main Author: 王育昕 翟计全 许伟伟 孙国柱 吴培亨
Format: Article
Language:English
Subjects:
Amplitudes
Computer simulation
Extreme values
Gaussian
Mathematical analysis
Noise intensity
Population distribution
Stochastic resonance
人口分布
噪声强度
数值模拟
正弦信号
表征
输出信号
随机共振
高斯白噪声
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Summary:In a double-well system, we investigate theoretically the population distribution of a particle perturbed by a weak sinusoidal signal with a Gaussian white noise accompanied. Our numerical simulation shows that the probability of the particle staying in the right potential well, Pn, exhibits an extreme value at specific noise intensity D depending on the frequency of the sinusoidal signal, which is a key feature of stochastic resonance. This is confirmed by calculating the power spectrum of the output signal, in which the extreme value of the amplitude locates at the same noise intensity. These results provide us with a new way to quantify the stochastic resonance by measuring the population distribution of the particle.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/32/9/097401