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A Comparative Study of Stochastic Resonance Phenomenon under Diffusive and Direct Coupling

机译:扩散与直接耦合下随机共振现象的比较研究

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摘要

In this study, our concern is to compare and analyze stochastic resonance phenomenon in a pair of overdamped systems under two types of coupling: direct and diffusive. Under both types of coupling, we obtain the amplitude of average response of coupled systems, and SR is confirmed from non-monotonic behavior of amplitude with respect to noise level in command of linear stability. In direct interaction, coupling strength and noise level in stochastic resonance vary nearly over a straight line with negative slope whereas in diffusive coupling the behavior is contrasting. In addition, we analyze the asymptotic behavior of second moment and average response of mean field and it is found that the mean field variable exhibits SR only in direct coupling.
机译:在这项研究中,我们关注的是比较和分析一对过阻尼系统中的随机共振现象,在直接耦合和扩散耦合两种类型下。在这两种耦合类型下,我们得到了耦合系统的平均响应幅度,并且从幅度相对于噪声水平的非单调行为中证实了SR,以控制线性稳定性。在直接耦合中,随机共振中的耦合强度和噪声水平几乎在一条直线上变化,斜率为负,而在扩散耦合中,其行为是相反的。此外,我们分析了第二矩的渐近行为和平均场的平均响应,发现平均场变量仅在直接耦合时表现出SR。

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