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Analysis of Synchronization Phenomena in Broadband Signals with Nonlinear Excitable Media

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.

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Correspondence to Anton Chernihovskyi.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Chernihovskyi, A., Elger, C.E. & Lehnertz, K. Analysis of Synchronization Phenomena in Broadband Signals with Nonlinear Excitable Media. EURASIP J. Adv. Signal Process. 2009, 582412 (2009). https://doi.org/10.1155/2009/582412

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Keywords

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