Measuring synchronization in coupled model systems: A comparison of different approaches
Measuring synchronization in coupled model systems: A comparison of different approaches
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DOI：
10.1016/j.physd.2006.09.039
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发表时间：
2007-01-01
影响因子：
4
通讯作者：
Grassberger, Peter
中科院分区：
文献类型：
--
作者：
Kreuz, Thomas;Mormann, Florian;Grassberger, Peter
近年来，对生物时间序列等测量实验数据的同步现象的研究日益成为人们关注的焦点。已经提出了不同的方法来测量同步，这些方法依赖于所研究的动力系统的某些特征。对于实验数据，潜在的动力学通常不是完全已知的，因此很难先验地决定哪种同步度量最适合分析。在这项研究中，我们使用三个不同的耦合模型系统来创建一个“受控”设置，以比较六种不同的同步测量方法。根据它们区分不同耦合级别的能力和它们对噪声的稳健性，将所有测量彼此进行比较。结果表明，应用于某一任务的度量不能根据固定的标准来选择，而是实用地作为在测试应用中最可靠地产生可信信息的度量，尽管被研究系统的某些动力学特征(例如，功率谱、维度)可能使某些度量比其他度量更合适。(C)2006爱思唯尔B.V.保留所有权利。
The investigation of synchronization phenomena on measured experimental data such as biological time series has recently become an increasing focus of interest. Different approaches for measuring synchronization have been proposed that rely on certain characteristic features of the dynamical system under investigation. For experimental data the underlying dynamics are usually not completely known, therefore it is difficult to decide a priori which synchronization measure is most suitable for an analysis. In this study we use three different coupled model systems to create a 'controlled' setting for a comparison of six different measures of synchronization. All measures are compared to each other with respect to their ability to distinguish between different levels of coupling and their robustness against noise. Results show that the measure to be applied to a certain task can not be chosen according to a fixed criterion but rather pragmatically as the measure which most reliably yields plausible information in test applications, although certain dynamical features of a system under investigation (e.g., power spectra, dimension) may render certain measures more suitable than others. (c) 2006 Elsevier B.V. All rights reserved.