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Updated: Jul 13, 2026
09:17
Surrogate Model Development for Digital Experiments in Welding
Published on: March 28, 2025
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
Summary
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.
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.
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