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Generating surrogates from recurrences

delete2007-08-13
delete28
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OA
AI
M
Marko Thiel *
M
M. Carmen Romano
J
Jürgen Kurths
M
Martin Rolfs
R
Reinhold Kliegl
DOI:10.1098/rsta.2007.2109delete
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Abstract

Abstract

En 中文
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 andfind strong indications that the fixational movements of the left and right eye are phase synchronized. This result indicates that there might be only one centre in the brain that produces thefixational movements in both eyes or a close link between the two centres.
Keywords:
recurrence plots
surrogate data
hypothesis test
phase synchronization
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Journal

P
Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences
IF:
3.7
Papers:
7.8K
Citations:
2.8W

Organization

U
University of Potsdam
Scholars:
7.8K
Papers: 7.1K
Citations: 1.4W
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