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Published on: May 8, 2021
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Coupling functions: dynamical interaction mechanisms in the physical, biological and social sciences
Tomislav Stankovski1,2, Tiago Pereira3,4, Peter V E McClintock1
1Department of Physics, Lancaster University, Lancaster LA1 4YB, UK.
Summary
Coupling functions describe how dynamical systems interact. This work reviews methods for detecting and reconstructing these functions from data, with applications across many scientific fields.
Area of Science:
- Multidisciplinary science, including physics, chemistry, biology, neuroscience, climate science, and social science.
Background:
- Dynamical systems are prevalent across scientific disciplines and frequently interact.
- These interactions are governed by coupling functions, which detail the mechanisms and rules of interaction.
- Understanding coupling functions is crucial for predicting and controlling system behaviors.
Purpose of the Study:
- To provide a comprehensive overview of coupling functions in dynamical systems.
- To present recent theoretical advances and novel methods for detecting and reconstructing coupling functions.
- To showcase diverse applications of coupling functions in various scientific domains.
Main Methods:
- Review of existing literature on coupling functions.
- Discussion of theoretical advancements in understanding dynamical system interactions.
- Presentation of novel data-driven methods for coupling function detection and reconstruction.
Main Results:
- Summarizes historical work and reviews recent developments in coupling function theory.
- Introduces state-of-the-art techniques for identifying interaction mechanisms from empirical data.
- Highlights successful applications across chemistry, neuroscience, physiology, climate, engineering, and social sciences.
Conclusions:
- Coupling functions are fundamental to understanding complex systems.
- Novel methods enable the characterization of interactions from measured data.
- This collection guides future research in dynamical system interactions.
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