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Generating surrogates from recurrences.

M Thiel1, M C Romano, J Kurths

  • 1Institute of Physics, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany. m.thiel@abdn.ac.uk

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|August 19, 2007
PubMed
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This study introduces twin surrogate (TS) trajectories to analyze system dynamics and synchronization. Applying TS to eye movements reveals phase synchronization, suggesting a unified neural control for binocular coordination.

Area of Science:

  • Dynamical systems analysis
  • Neuroscience
  • Biophysics

Background:

  • Assessing synchronization in complex systems requires reliable methods.
  • Existing surrogate approaches may not fully capture underlying system dynamics.

Purpose of the Study:

  • To develop a novel approach for generating independent system copies (twin surrogate trajectories).
  • To validate twin surrogate trajectories for testing complex synchronization.
  • To investigate the synchronization of binocular fixational movements.

Main Methods:

  • Recurrence quantification analysis to recover system dynamics.
  • Generation of multivariate twin surrogate trajectories.
  • Application of twin surrogate analysis to binocular eye movement data.

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Main Results:

  • Twin surrogate trajectories represent independent system copies, visiting attractors differently.
  • The method reliably assesses synchronization, enhancing analysis reliability.
  • Binocular fixational movements exhibit strong phase synchronization.

Conclusions:

  • The developed twin surrogate method is effective for synchronization analysis.
  • Phase synchronization of fixational eye movements suggests unified or closely linked neural control.
  • This finding has implications for understanding brain mechanisms of eye movement coordination.