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Multivariate recurrence plots

  • We propose a new approach to calculate recurrence plots of multivariate time series, based on joint recurrences in phase space. This new method allows to estimate dynamical invariants of the whole system, like the joint Renyi entropy of second order. We use this entropy measure to quantitatively study in detail the phase synchronization of two bidirectionally coupled chaotic systems and identify different types of transitions to chaotic phase synchronization in dependence on the coupling strength and the frequency mismatch. By means of this analysis we find several new phenomena, such a chaos-period-chaos transition to phase synchronization for rather large coupling strengths. (C) 2004 Elsevier B.V. All rights reserved

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Metadaten
Author:Maria Carmen Romano, Marco Thiel, Jürgen KurthsORCiDGND, Werner von Bloh
ISSN:0375-9601
Document Type:Article
Language:English
Year of first Publication:2004
Year of Completion:2004
Release Date:2017/03/24
Source:Physics Letters A. - ISSN 0375-9601. - 330 (2004), 3-4, S. 214 - 223
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