Analysis of synchronization phenomena in broadband signals with nonlinear excitable media

Authors:
Anton Chernihovskyi;Christian E. Elger;Klaus Lehnertz
Affiliations:
Department of Epileptology, University of Bonn, Bonn, Germany and Helmholtz-Institute for Radiation and Nuclear Physics, University of Bonn, Bonn, Germany;Department of Epileptology, University of Bonn, Bonn, Germany;Department of Epileptology, University of Bonn, Bonn, Germany and Helmholtz-Institute for Radiation and Nuclear Physics, University of Bonn, Bonn, Germany and Interdisciplinary Center for Complex ...
Venue:
EURASIP Journal on Advances in Signal Processing - CNN technology for spatiotemporal signal processing
Year:
2009

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Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients

Physica D
Cellular Neural Networks and Visual Computing

Cellular Neural Networks and Visual Computing

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Abstract

We apply the method of frequency-selective excitation waves in excitable media to characterize synchronization phenomena in interacting complex dynamical systems by measuring coincidence rates of induced excitations. We relax the frequency-selectivity of excitable media and demonstrate two applications of the method to signals with broadband spectra. Findings obtained from analyzing time series of coupled chaotic oscillators as well as electroencephalographic (EEG) recordings from an epilepsy patient indicate that this method can provide an alternative and complementary way to estimate the degree of phase synchronization in noisy signals.