arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1306.3924cond-mat.stat-mech
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非高斯、非动力学随机共振

Non-Gaussian, non-dynamical stochastic resonance

Krzysztof Szczepaniec, Bartlomiej Dybiec

摘要:

展示随机共振的原型系统只不过是一个阈值触发装置。它由周期性调制输入和噪声组成。每次输出超过阈值时,记录信号。这种数字滤波信号对噪声强度敏感。存在一个最佳的噪声强度值,使输出具有最大的周期性。在这里,我们探讨的非动力学随机共振在非平衡的情况下,即当高斯噪声被替换为$α$稳定的噪声的属性。我们证明,非平衡$α$稳定的噪声,依赖于噪声参数,可以削弱或增强非动力学随机共振。

英文摘要:

The archetypal system demonstrating stochastic resonance is nothing more than a threshold triggered device. It consists of a periodic modulated input and noise. Every time an output crosses the threshold the signal is recorded. Such a digitally filtered signal is sensitive to the noise intensity. There exist the optimal value of the noise intensity resulting in the "most" periodic output. Here, we explore properties of the non-dynamical stochastic resonance in non-equilibrium situations, i.e. when the Gaussian noise is replaced by an $α$-stable noise. We demonstrate that non-equilibrium $α$-stable noises, depending on noise parameters, can either weaken or enhance the non-dynamical stochastic resonance.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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