Twin Surrogates to Test for Complex Synchronisation

  • 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 R¨ossler oscillators. The proposed test enables to assess the statistical relevance of a synchronisation analysis from passive experiments which are typical in natural systems.

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Author:Marco Thiel, Maria Carmen Romano, Jürgen Kurths, Martin Rolfs
Series (Serial Number):Postprints der Universität Potsdam : Humanwissenschaftliche Reihe (paper 264)
Document Type:Postprint
Year of Completion:2006
Publishing Institution:Universität Potsdam
Release Date:2011/12/13
Source:Europhysics Letters: a letters journal exploring the frontiers of physics. - ISSN 0295-5075. - 75 (2006), 4, S. 535 - 541
Organizational units:Humanwissenschaftliche Fakultät / Institut für Psychologie
Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Dewey Decimal Classification:4 Sprache / 40 Sprache / 400 Sprache
Licence (German):License LogoKeine Nutzungslizenz vergeben - es gilt das deutsche Urheberrecht
Notes extern:first published in:
Europhysics Letters: a letters journal exploring the frontiers of physics

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