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Detection of synchronization for non-phase-coherent and non-stationary data

  • We present a new method to detect phase as well as generalized synchronization in a wide class of complex systems. It is based on the recurrences of the system's trajectory to the neighborhood of a former state in phase space. We illustrate the applicability of the algorithm for the paradigmatic chaotic Rossler system in the funnel regime and for noisy data, where other methods to detect phase synchronization fail. Furthermore, we demonstrate for electrochemical experiments that the method can easily detect phase and generalized synchronization in non-phase- coherent and even non-stationary time series

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Author details:Maria Carmen RomanoORCiD, M. Thiel, Jürgen KurthsORCiDGND, Istvan Z. Kiss, J. L. Hudson
Document Type:Article
Year of first publication:2005
Year of completion:2005
Release Date:2017/03/24
Source:Europhysics Letters. - ISSN 0295-5075. - 71 (2005), 3, S. 466 - 472
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert
Institution name at the time of the publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik