Twin surrogates to test for complex synchronisation

M Thiel, M C Romano, J Kurths, M. Rolfs, R. Kliegl

Research output: Contribution to journalArticle

90 Citations (Scopus)

Abstract

We present an approach to generate (multivariate) twin surrogates (TS) based on recurrence properties. This technique generates surrogates which correspond to an independent copy of the underlying system, i.e. they induce a trajectory of the underlying system starting at different initial conditions. We show that these surrogates are well suited to test for complex synchronisation and exemplify this for the paradigmatic system of Rossler oscillators. The proposed test enables to assess the statistical relevance of a synchronisation analysis from passive experiments which are typical in natural systems.

Original languageEnglish
Pages (from-to)535-541
Number of pages6
JournalEurophysics Letters
Volume75
Issue number4
DOIs
Publication statusPublished - Aug 2006

Keywords

  • phase synchronization
  • time-series
  • chaotic oscillators
  • recurrence plots
  • systems
  • nonlinearity

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