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Asymmetric dynamic interaction shifts synchronized frequency of coupled oscillators
Seong-Gyu Yang1, Hyunsuk Hong2, Beom Jun Kim3
1Sungkyunkwan University, Department of Physics, Suwon, 16419, Republic of Korea.
Scientific Reports
|February 15, 2020
Summary
Dynamic agents can synchronize to a rhythm different from their average individual rhythms. This study modifies the Kuramoto model to show how asymmetric interactions shift synchronized frequencies, confirmed in human experiments.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Statistical Physics
Background:
- Interacting dynamic agents often exhibit synchronization.
- Synchronized rhythms can differ from the average intrinsic rhythms of individual agents.
- This phenomenon suggests interaction-driven changes in average phase velocity.
Purpose of the Study:
- To propose and investigate a modified Kuramoto model with asymmetric interaction ranges.
- To understand how asymmetric interactions influence the synchronized frequency of dynamic agents.
- To experimentally verify the model's predictions using human participants.
Main Methods:
- Modified Kuramoto model with phase difference-limited interactions ([-βπ, απ]).
- Extensive numerical simulations to analyze synchronization dynamics.
- Computer-based synchronization experiment with human participants.
Main Results:
- Asymmetric dynamic interactions (β ≠ α) cause a shift in synchronized frequency.
- The synchronized frequency deviates from the average of intrinsic frequencies.
- Human participants' synchronization experiment confirmed the predicted frequency shift.
Conclusions:
- Asymmetric interactions in dynamic agent systems can lead to emergent synchronized frequencies.
- The modified Kuramoto model accurately captures this phenomenon.
- Real-world systems, like interacting runners, can exhibit similar frequency shifts due to directional influence.
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