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báo cáo hóa học:" Research Article Analysis of Synchronization Phenomena in Broadband Signals with Nonlinear Excitable Media"

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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Analysis of Synchronization Phenomena in Broadband Signals with Nonlinear Excitable Media | Hindawi Publishing Corporation EURASIP Journal on Advances in Signal Processing Volume 2009 Article ID 582412 7 pages doi 10.1155 2009 582412 Research Article Analysis of Synchronization Phenomena in Broadband Signals with Nonlinear Excitable Media Anton Chernihovskyi 1 2 Christian E. Elger 1 and Klaus Lehnertz1 2 3 1 Department of Epileptology University of Bonn Sigmund-Freud Street 25 53105 Bonn Germany 2Helmholtz-Institute for Radiation and Nuclear Physics University of Bonn Nussallee 14-16 53115 Bonn Germany 3 Interdisciplinary Center for Complex Systems University of Bonn Romerstr. 164 53117 Bonn Germany Correspondence should be addressed to Anton Chernihovskyi cheant@web.de Received 23 September 2008 Revised 28 February 2009 Accepted 18 August 2009 Recommended by Ronald Tetzlaff 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. Copyright 2009 Anton Chernihovskyi et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Introduction Excitable media EM are spatially distributed excitable systems that can rapidly propagate excitations suprathreshold impulses over long distances without damping. Such traveling waves have been observed in many scientific contexts and as it is now widely accepted play an important role in

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