Enhancing synchronizability of diffusively coupled dynamical networks: a survey.
Summary
This review explores methods to improve how quickly coupled dynamical networks synchronize. Structural changes like adding nodes or rewiring links can enhance network synchronizability by optimizing the Laplacian matrix eigenratio.
Area of Science:
- Complex Networks
- Dynamical Systems
- Network Synchronization
Background:
- Collective behavior in complex networks is a key research area.
- Synchronization of dynamical systems is a prevalent form of collective behavior.
- Enhancing network synchronizability is crucial for many applications.
Purpose of the Study:
- To review and survey methods for enhancing the synchronizability of diffusively coupled dynamical networks with identical nodes.
- To provide a comprehensive overview of structural perturbation techniques.
Main Methods:
- Surveying literature on structural perturbations.
- Analyzing methods such as adding/removing nodes/edges, rewiring links, and graph weighting.
- Investigating the minimization of the Laplacian matrix eigenratio.
Main Results:
- Structural perturbations offer effective strategies for improving network synchronizability.
- Methods aim to optimize network structure for faster synchronization.
- Numerical simulations validate performance on various network models.
Conclusions:
- Structural modifications are viable approaches to enhance network synchronizability.
- Minimizing the Laplacian eigenratio is a common theoretical basis for these enhancements.
- The study provides a foundation for further research in network synchronization.
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