Reconstructing effective phase connectivity of oscillator networks from observations
Reconstructing effective phase connectivity of oscillator networks from observations
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DOI：
10.1088/1367-2630/16/8/085013
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发表时间：
2014-08-27
影响因子：
3.3
通讯作者：
Rosenblum, Michael
中科院分区：
文献类型：
--
作者：
Kralemann, Bjoern;Pikovsky, Arkady;Rosenblum, Michael
本文提出了一种利用多变量时间序列数据的相动力学重构来恢复小振子网络方向连通性的新方法。其主要思想是使用三重分析而不是传统的两两分析。我们的技术揭示了一个有效的相位连接，这通常是不等同于一个结构。我们证明，通过比较所有可能的三胞胎的振荡器的耦合函数，我们能够实现在重建现有的和不存在的连接之间的良好分离，从而可靠地再现网络结构。
We present a novel approach for recovery of the directional connectivity of a small oscillator network by means of the phase dynamics reconstruction from multivariate time series data. The main idea is to use a triplet analysis instead of the traditional pairwise one. Our technique reveals an effective phase connectivity which is generally not equivalent to a structural one. We demonstrate that by comparing the coupling functions from all possible triplets of oscillators, we are able to achieve in the reconstruction a good separation between existing and non-existing connections, and thus reliably reproduce the network structure.