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Kuramoto dilemma alleviated by optimizing connectivity and rationality
Han-Xin Yang1, Tao Zhou2,3,4, Zhi-Xi Wu5
1Department of Physics, Fuzhou University, Fuzhou 350116, People's Republic of China.
Physical Review. E
|September 27, 2018
Summary
Global synchronization in coupled oscillator systems is maximized at moderate network connectivity. This study explores how individual rationality influences synchronization in coevolutionary models combining oscillator dynamics and game theory.
Area of Science:
- Complex Systems
- Statistical Physics
- Network Science
Background:
- Coevolutionary models integrate evolutionary game theory with dynamical systems.
- Kuramoto oscillators are widely used to model synchronization phenomena.
- Previous work by Antonioni and Cardillo introduced a model linking oscillator synchronization and game theory.
Purpose of the Study:
- To investigate the relationship between network structure and global synchronization levels.
- To analyze the impact of individual rationality on synchronization dynamics.
- To extend the coevolutionary model of oscillator synchronization and game theory.
Main Methods:
- Utilized a coevolutionary model where oscillators choose interaction strategies based on payoffs.
- Simulated Kuramoto oscillators with a cost-benefit mechanism for interaction.
- Analyzed strategy updates based on payoff differences to model evolutionary dynamics.
Main Results:
- Global synchronization reaches its peak at a moderate average degree of the interaction network.
- Individual rationality in strategy selection significantly affects the overall synchronization level.
- The interplay between synchronization benefits and interaction costs shapes system behavior.
Conclusions:
- Network topology plays a crucial role in optimizing synchronization in coevolutionary systems.
- Rational decision-making by individual oscillators can lead to emergent global synchronization patterns.
- The coevolutionary framework provides insights into the emergence of order in complex interacting systems.
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