Decentralized coupling-when-needed strategy for the synchronization of networked oscillators with delays
Francesco Sorrentino1, Ira B Schwartz2
1University of New Mexico, Department of Mechanical Engineering, Albuquerque, New Mexico 87131, USA.
Physical Review. E
|February 20, 2025
Summary
Researchers explored coupled laser synchronization, using attractor reactivity to reduce control needs. This method efficiently synchronizes networks with feedback and communication delays.
Area of Science:
- Nonlinear Dynamics and Control Systems
- Optics and Photonics
- Complex Networks
Background:
- The stability of synchronous solutions in networks of coupled oscillators is well-studied, with Lyapunov exponents determining asymptotic stability.
- Time delays in coupled systems can significantly alter dynamics, affecting both individual oscillators and inter-node coupling.
- Transverse reactivity characterizes transient perturbation growth on attractors, offering insights beyond average stability measures.
Purpose of the Study:
- To investigate the role of attractor reactivity in the synchronization of coupled laser networks.
- To develop and implement an efficient synchronization strategy leveraging knowledge of attractor reactivity.
- To address synchronization challenges in networks with self-feedback and communication delays.
Main Methods:
- Analysis of coupled laser networks with self-feedback and communication delays.
- Characterization of attractor transverse reactivities within these networks.
- Implementation of a synchronization strategy guided by attractor reactivity insights.
Main Results:
- Demonstrated that attractor reactivity varies across different regions of the chaotic or periodic attractor.
- Successfully implemented an efficient synchronization strategy for coupled laser networks.
- The proposed strategy effectively reduces the amount of control required for synchronization.
Conclusions:
- Knowledge of attractor reactivity is crucial for understanding and controlling transient dynamics in coupled systems.
- Leveraging attractor reactivity enables efficient synchronization of complex laser networks with delays.
- This approach offers a pathway to minimize control effort in achieving synchronized states.
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