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Synchronization analysis of coupled noncoherent oscillators

  • We present two different approaches to detect and quantify phase synchronization in the case of coupled non- phase coherent oscillators. The first one is based on the general idea of curvature of an arbitrary curve. The second one is based on recurrences of the trajectory in phase space. We illustrate both methods in the paradigmatic example of the Rossler system in the funnel regime. We show that the second method is applicable even in the case of noisy data. Furthermore, we extend the second approach to the application of chains of coupled systems, which allows us to detect easily clusters of synchronized oscillators. In order to illustrate the applicability of this approach, we show the results of the algorithm applied to experimental data from a population of 64 electrochemical oscillators

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Author:Jürgen KurthsORCiDGND, Maria Carmen RomanoORCiD, Marco Thiel, Grigory V. Osipov, Mikhail V. IvanchenkoORCiD, Istvan Z. Kiss, John L. Hudson
Document Type:Article
Year of first Publication:2006
Year of Completion:2006
Release Date:2017/03/24
Source:Nonlinear dynamics. - ISSN 0924-090X. - 44 (2006), 1-4, S. 135 - 149
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert
Institution name at the time of publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik