Partial Phase Synchronization for Multivariate Synchronizing Systems

作     者：Björn Schelter Matthias Winterhalder Rainer Dahlhaus Jürgen Kurths Jens Timmer 

作者机构：FDM Freiburg Center for Data Analysis and Modeling University of Freiburg Eckerstraße 1 79104 Freiburg Germany Bernstein Center for Computational Neuroscience Freiburg University of Freiburg Germany Physics Department University of Freiburg Hermann-Herder Straße 3 79104 Freiburg Germany Department of Applied Mathematics University of Heidelberg Im Neuenheimer Feld 294 69120 Heidelberg Germany Nonlinear Dynamics Group Institute of Physics University of Potsdam 14415 Potsdam Germany 

出 版 物：《Physical Review Letters》 (Phys Rev Lett)

年 卷 期：2006年第96卷第20期

页      面：208103-208103页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

主　　题：Multivariable systems 

摘      要：Graphical models applying partial coherence to multivariate time series are a powerful tool to distinguish direct and indirect interdependencies in multivariate linear systems. We carry over the concept of graphical models and partialization analysis to phase signals of nonlinear synchronizing systems. This procedure leads to the partial phase synchronization index which generalizes a bivariate phase synchronization index to the multivariate case and reveals the coupling structure in multivariate synchronizing systems by differentiating direct and indirect interactions. This ensures that no false positive conclusions are drawn concerning the interaction structure in multivariate synchronizing systems. By application to the paradigmatic model of a coupled chaotic Roessler system, the power of the partial phase synchronization index is demonstrated.