Dresden 2009 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 9: Nonlinear dynamics, synchronization and chaos II
DY 9.9: Vortrag
Dienstag, 24. März 2009, 12:30–12:45, ZEU 255
Partial mean conditional recurrences for the identification of indirectionality in model systems — •Yong Zou1, Marco Thiel2, Mamen Romano2, and Juergen Kurths1,3 — 1Potsdam Institute for Climate Impact Research, P.O. Box 601203, 14412 Potsdam, Germany — 2Department of Physics, University of Aberdeen, Aberdeen AB 24 3UE, United Kingdom — 3Institut for Physik, Humboldt Universität zu Berlin, Newtonstr. 15, 12489 Berlin, Germany
The identification of the coupling directionality from measured time series taking place in a group of interacting components is a non-trivial problem for experimental studies. We propose a method to uncover the coupling configuration by means of recurrence properties. The approach hinges on a generalization of conditional probability of recurrence, which was originally introduced to detect and quantify the weak coupling directionality between two interacting subsystems. Here, we extend this approach to the case of multivariate time series, where the indirect interaction presents. We test our method by considering three coupled Van der Pol oscillators contaminated with normal distributed noise. Furthermore, we extract the correct time delay information contained in the three coupled Lorenz systems. Our results confirm that the proposed method could be used to identify the indirectionality, which shows relevance for experimental time series analysis.