Detection of Synchronization for Non-Phase Coherent and Non-stationary Data

M Carmen Romano , Marco Thiel, Jurgen Kurths, I. Z. Kiss, J. L. Hudson

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132 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)466-472
Number of pages7
JournalEurophysics Letters
Volume71
Issue number3
DOIs
Publication statusPublished - 2005

Keywords

  • coupled chaotic systems
  • recurrence plots
  • generalized synchronization
  • lag synchronization
  • oscillators
  • locking

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