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  • Research Article
  • Open Access

Analysis of Synchronization Phenomena in Broadband Signals with Nonlinear Excitable Media

EURASIP Journal on Advances in Signal Processing20092009:582412

https://doi.org/10.1155/2009/582412

  • Received: 23 September 2008
  • Accepted: 18 August 2009
  • Published:

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.

Keywords

  • Time Series
  • Dynamical System
  • Information Technology
  • Quantum Information
  • Analyze Time Series

Publisher note

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Authors’ Affiliations

(1)
Department of Epileptology, University of Bonn, Sigmund-Freud Street 25, 53105 Bonn, Germany
(2)
Helmholtz-Institute for Radiation and Nuclear Physics, University of Bonn, Nussallee 14-16, 53115 Bonn, Germany
(3)
Interdisciplinary Center for Complex Systems, University of Bonn, Römerstr. 164, 53117 Bonn, Germany

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