Direction of Coupling from Phases of Interacting Oscillators: A Permutation Information Approach

A. Bahraminasab, F. Ghasemi, A. Stefanovska, P. V. E. McClintock, and H. Kantz
Phys. Rev. Lett. 100, 084101 – Published 26 February 2008

Abstract

We introduce a directionality index for a time series based on a comparison of neighboring values. It can distinguish unidirectional from bidirectional coupling, as well as reveal and quantify asymmetry in bidirectional coupling. It is tested on a numerical model of coupled van der Pol oscillators, and applied to cardiorespiratory data from healthy subjects. There is no need for preprocessing and fine-tuning the parameters, which makes the method very simple, computationally fast and robust.

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  • Received 4 May 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.084101

©2008 American Physical Society

Authors & Affiliations

A. Bahraminasab1, F. Ghasemi2, A. Stefanovska1, P. V. E. McClintock1, and H. Kantz3

  • 1Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom
  • 2Westfälische Wilhelms- Universität Münster, D-48149 Münster, Germany
  • 3Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, D 01187 Dresden, Germany

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Vol. 100, Iss. 8 — 29 February 2008

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