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.
| Identifer | oai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:5723 |
| Date | January 2006 |
| Creators | Thiel, Marco, Romano, Maria Carmen, Kurths, Jürgen, Rolfs, Martin |
| Publisher | Universität Potsdam, Humanwissenschaftliche Fakultät. Institut für Psychologie, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Physik und Astronomie |
| Source Sets | Potsdam University |
| Language | English |
| Detected Language | English |
| Type | Postprint |
| Format | application/pdf |
| Source | Europhysics Letters: a letters journal exploring the frontiers of physics. - ISSN 0295-5075. - 75 (2006), 4, S. 535 - 541 |
| Rights | http://opus.kobv.de/ubp/doku/urheberrecht.php |
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