Stochastic resonance in an ensemble of bistable systems under stable distribution noises and nonhomogeneous coupling.
Stochastic resonance in an ensemble of bistable systems under stable distribution noises and nonhomogeneous coupling.
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DOI：
10.1103/physreve.85.046207
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发表时间：
2012-04
期刊：
影响因子：
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通讯作者：
yangxin Tang;W. Zou;Jianquan Lu;J. Kurths
中科院分区：
文献类型：
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作者：
yangxin Tang;W. Zou;Jianquan Lu;J. Kurths
本文研究了具有α-稳定分布和非均匀耦合的噪声驱动双稳态系统的随机共振问题。本文所考虑的α-稳定分布有四个内在参数：α∈(0,2)称为稳定性参数，用于描述稳定密度的渐近行为；β∈[-1,1]是测量不对称性的偏度参数；γ∈(0,∞)是测量分布宽度的尺度参数；δ∈(-∞,∞)是表示均值的位置参数。结果表明，耦合强度分集的中间值可以优化谐振特性。结果表明，稳定性参数α和尺度参数γ可以很好地选择以产生响应外部信号的谐振效应。此外，还研究了偏度参数β和位置参数δ对共振效应的相互作用。进一步表明，偏度参数β和位置参数δ导致的lsamvy α-稳定分布的不对称性可以增强谐振效应。通过理论分析和仿真验证了本文的研究结果。
In this paper, stochastic resonance of an ensemble of coupled bistable systems driven by noise having an α-stable distribution and nonhomogeneous coupling is investigated. The α-stable distribution considered here is characterized by four intrinsic parameters: α∈(0,2] is called the stability parameter for describing the asymptotic behavior of stable densities; β∈[-1,1] is a skewness parameter for measuring asymmetry; γ∈(0,∞) is a scale parameter for measuring the width of the distribution; and δ∈(-∞,∞) is a location parameter for representing the mean value. It is demonstrated that the resonant behavior is optimized by an intermediate value of the diversity in coupling strengths. We show that the stability parameter α and the scale parameter γ can be well selected to generate resonant effects in response to external signals. In addition, the interplay between the skewness parameter β and the location parameter δ on the resonance effects is also studied. We further show that the asymmetry of a Lévy α-stable distribution resulting from the skewness parameter β and the location parameter δ can enhance the resonance effects. Both theoretical analysis and simulation are presented to verify the results of this paper.