非趋势相互关联分析的扩展版本

2022 6th Scientific School Dynamics of Complex Networks and their Applications (DCNA) Pub Date : 2022-09-14 DOI:10.1109/DCNA56428.2022.9923225

A. A. Koronovskii, A. Pavlov

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引用次数: 0

摘要

我们描述了一种扩展版本的去趋势相互关联分析，这对于研究产生非均匀数据集的复杂系统的时变动力学是有用的。该方法计算两个独立的度量，分别表示去趋势协方差和非平稳性的影响。我们应用这种方法来描述两个耦合洛伦兹模型的混沌动力学中的夹带现象，并在研究的数据集中增加了一个趋势。

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Extended version of detrended cross-correlation analysis

We describe an extended version of the detrended cross-correlation analysis which is useful for studying time-varying dynamics of complex systems producing inhomogeneous datasets. The method computes two independent measures that quantity the detrended covariance and the impact of nonstationarity, respectively. We apply this approach to characterize entrainment phenomena in the chaotic dynamics of two coupled Lorenz models with an additional trend in the datasets under study.

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来源期刊

2022 6th Scientific School Dynamics of Complex Networks and their Applications (DCNA)

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