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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.

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Author:Marco Thiel, Maria Carmen RomanoORCiD, Jürgen KurthsORCiDGND, Martin Rolfs, Reinhold KlieglORCiDGND
Series (Serial Number):Postprints der Universität Potsdam : Humanwissenschaftliche Reihe (paper 238)
Document Type:Postprint
Year of Completion:2006
Publishing Institution:Universität Potsdam
Release Date:2011/12/07
Tag:Hypothesis Test; Phase Synchronization; Surrogate Data; Æ Recurrence Plots
Source:Philosophical Transactions of the Royal Society - Series A. - ISSN 1471-2962. - 366 (2008), S. 545-557
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:
Philosophical Transactions of the Royal Society - Series A (2008), 366 : S. 545-557