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Generating Surrogates from Recurrences

In this paper we present an approach to recover the dynamics from recurrences
of a system and then generate (multivariate) twin surrogate (TS) trajectories. In contrast to other approaches, such as the linear-like surrogates, this technique produces surrogates which correspond to an independent copy of the underlying system, i. e. they induce a trajectory of the underlying system visiting the attractor in a different way. We show that these surrogates are well suited to test for complex synchronization, which makes it possible to systematically assess the reliability of synchronization analyses. We then apply the TS to study binocular fixational movements and find strong indications that the fixational movements of the left and right eye are phase synchronized. This result indicates that there might be one centre only in the brain that produces the fixational movements in both eyes or a close link between two centres.

Identiferoai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:5690
Date January 2006
CreatorsThiel, Marco, Romano, Maria Carmen, Kurths, Jürgen, Rolfs, Martin, Kliegl, Reinhold
PublisherUniversität Potsdam, Humanwissenschaftliche Fakultät. Institut für Psychologie, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Physik und Astronomie
Source SetsPotsdam University
LanguageEnglish
Detected LanguageEnglish
TypePostprint
Formatapplication/pdf
SourcePhilosophical Transactions of the Royal Society - Series A. - ISSN 1471-2962. - 366 (2008), S. 545-557
Rightshttp://opus.kobv.de/ubp/doku/urheberrecht.php

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