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Synchronization dynamics in diverse ensemble of noisy phase oscillators with asynchronous phase updates
1Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia and Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2016
Summary
This study explores decentralized control of phase oscillators in networks. We show how update rates and noise affect synchronization, revealing continuous or discontinuous transitions to coordinated behavior.
Area of Science:
- Complex Systems
- Network Science
- Nonlinear Dynamics
Background:
- Decentralized control of autonomous phase oscillators is crucial for networked systems like sensor networks and swarm robotics.
- Current synchronization schemes often involve simple averaging of local oscillator phases.
Purpose of the Study:
- To analyze the synchronization dynamics of phase oscillators in a mean-field model with asynchronous updates.
- To investigate the influence of noise intensity, frequency diversity, and update rate on steady-state synchrony.
Main Methods:
- Development of a mean-field model for asynchronous phase oscillator updates.
- Analytical investigation of synchronization transitions based on correction rate and phase coherence.
- Numerical simulations of large populations of coupled phase oscillators.
Main Results:
- The steady-state synchrony level is dependent on noise intensity and frequency diversity.
- Correction rate's correlation with macroscopic coherence influences transition type.
- Both continuous and discontinuous transitions from incoherence to synchrony were observed.
Conclusions:
- The study provides insights into the complex synchronization behavior of decentralized oscillator networks.
- Understanding these dynamics is key for designing robust and coordinated networked systems.
- The findings are applicable to various fields requiring synchronized behavior in distributed systems.
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