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Huygens (and others) revisited
Kurt Wiesenfeld1, Daniel Borrero-Echeverry
1Center for Nonlinear Science and School of Physics, Georgia Institute of Technology, 837 State Street, Atlanta, Georgia 30332-0430, USA.
Chaos (Woodbury, N.Y.)
|January 10, 2012
Summary
We created a unified model for coupled oscillators, explaining diverse experimental outcomes from Huygens
Area of Science:
- Physics
- Complex Systems
Background:
- Coupled oscillators are fundamental in understanding synchronization phenomena.
- Historical experiments, like Huygens' clocks, demonstrate complex emergent behaviors.
Purpose of the Study:
- To develop a generic iterative map model for coupled oscillators.
- To provide a unified framework for understanding diverse experimental outcomes in coupled oscillator systems.
Main Methods:
- Development of a generic iterative map model.
- Application of the model to analyze systems based on simple, common physical processes.
Main Results:
- The model successfully reproduces a range of outcomes observed in coupled oscillator experiments.
- A unified perspective is achieved for phenomena previously studied in isolation.
Conclusions:
- The developed iterative map model offers a versatile tool for studying coupled oscillators.
- This approach unifies the understanding of historical and modern realizations of coupled clock experiments.
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