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Phys. Rev. E 67, 055201 (2003) [4 pages]

Direction of coupling from phases of interacting oscillators: An information-theoretic approach

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Milan Paluš1 and Aneta Stefanovska2
1Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod vodárenskou věží 2, 182 07 Prague 8, Czech Republic
2Group of Nonlinear Dynamics and Synergetics, Faculty of Electrical Engineering, University of Ljubljana, Tržaška 25, 1000 Ljubljana, Slovenia

Rapid Communication Received 28 August 2002; published 27 May 2003

A directionality index based on conditional mutual information is proposed for application to the instantaneous phases of weakly coupled oscillators. Its abilities to distinguish unidirectional from bidirectional coupling, as well as to reveal and quantify asymmetry in bidirectional coupling, are demonstrated using numerical examples of quasiperiodic, chaotic, and noisy oscillators, as well as real human cardiorespiratory data.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevE.67.055201
DOI: 10.1103/PhysRevE.67.055201
PACS: 05.45.Xt, 05.45.Tp, 87.80.Tq

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