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Detection of coupling in Duffing oscillator systems.
Martin Brešar1, Pavle Boškoski1, Martin Horvat2
1Department of Systems and Control, Jožef Stefan Institute, Jamova cesta, 39, SI-1000 Ljubljana, Slovenia.
Chaos (Woodbury, N.Y.)
|July 9, 2021
Summary
Researchers successfully inferred coupling direction in complex dynamical systems using conditional mutual information (CMI). They also quantified coupling strength via information susceptibility in Duffing oscillator models.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Information theory
Background:
- Detecting coupling direction in complex dynamical systems from time series data is difficult.
- Coupled Duffing oscillators exhibit diverse behaviors in regular and chaotic regimes.
Purpose of the Study:
- To infer the direction of coupling in coupled Duffing oscillator systems.
- To quantify coupling parameters in the weak coupling regime.
Main Methods:
- Utilizing conditional mutual information (CMI) based on Shannon entropy.
- Analyzing time series data from coupled Duffing oscillators.
- Calculating information susceptibility as the derivative of CMI with respect to coupling strength.
Main Results:
- Successfully inferred coupling direction across different dynamical regimes (regular and chaotic).
- Demonstrated that CMI values can estimate coupling parameters in the weak coupling limit.
- Introduced information susceptibility as a novel metric for parameter inference.
Conclusions:
- Conditional mutual information is an effective tool for determining coupling direction in complex systems.
- Information susceptibility provides a method for quantifying coupling strength in weakly coupled systems.
- The study offers a robust framework for analyzing directed coupling in dynamical systems.
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