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Bitte beziehen Sie sich beim Zitieren dieses Dokumentes immer auf folgende URN: urn:nbn:de:kobv:517-opus-57231 URL: http://opus.kobv.de/ubp/volltexte/2011/5723/ Thiel, Marco ; Romano, Maria Carmen ; Kurths, Jürgen ; Rolfs, Martin
Twin Surrogates to Test for Complex Synchronisation
Kurzfassung auf EnglischWe present an approach to generate (multivariate) twin surrogates (TS) basedon 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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