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Detecting direction of coupling in interacting oscillators.
1Department of Physics, University of Potsdam, Am Neuen Palais, PF 601553, D-14415, Potsdam, Germany.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 3, 2001
Summary
We developed a new method to detect the direction of weak coupling between oscillators using bivariate data. This technique works for noisy, chaotic, and different systems, quantifying coupling asymmetry.
Area of Science:
- Physics
- Nonlinear Dynamics
- Systems Biology
Background:
- Understanding directional coupling is crucial in complex systems.
- Existing methods struggle with noisy or non-identical oscillators.
Purpose of the Study:
- To develop a robust method for detecting coupling directionality in self-sustained oscillators.
- To quantify the asymmetry in weak coupling between systems.
Main Methods:
- Analysis of bivariate time-series data.
- Development of a novel index to measure coupling asymmetry.
- Application to potentially noisy, chaotic, and non-identical systems.
Main Results:
- Successful experimental detection of coupling directionality.
- The proposed index quantifies the asymmetry in weak coupling.
- The method is applicable to diverse oscillatory systems.
Conclusions:
- A reliable method for determining coupling direction in oscillators is presented.
- The technique advances the analysis of complex coupled systems.
- This work provides a tool for characterizing system interactions.