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Inhomogeneity-enhanced coherence resonance in assemblies of uncoupled chaotic elements

机译:在未耦合混沌元素组件中增强的相干相干共振

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We study the dynamics of assemblies of "uncoupled" identical chaotic elements under the influence of external noisy field. It is numerically demonstrated that in the case where each chaotic element exhibits type-I intermit-tency, the degree of the temporal regularity of the mean-field dynamics of the system reaches a maximum at a certain optimal noise intensity. Moreover, we also report that inhomogeneous noise which drives each element partly independently enhances the coherence of the mean-field more than that of the case where all elements of the system receive a completely identical noisy input, and the degree of the coherence as a function against the degree of inhomogeneity of noise shows a convex curve. In noisy uncoupled systems, the common part of noise which drives each element can be regarded as the interaction among elements which corresponds to the coupling term in the case of coupled systems, so our finding that some degree of inhomogeneity enhances the coherence of the dynamics is not trivial.
机译:我们在外部嘈杂场的影响下研究“解耦”相同混沌元素的组装动态。在数值上证明,在每个混沌元素表现出I型间隔的情况下,系统的平均场动力学的时间规律程度以某种最佳噪声强度达到最大值。此外,我们还报告了驱动每个元件的不均匀噪声部分地独立地增强了平均字段的相干性,而不是系统的所有元件接收完全相同的嘈杂输入的情况,以及作为函数的相干程度抵抗噪声的不均匀程度显示凸曲线。在嘈杂的解耦系统中,驱动每个元素的噪声的共同部分可以被视为对应于耦合系统的耦合项的元件之间的相互作用,因此我们发现某种程度的不均匀性能够增强动态的相干性不琐碎。

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