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Maximizing synchronizability of networks with community structure based on node similarity
Yangyang Luan1, Xiaoqun Wu1, Binghong Liu1
1School of Mathematics and Statistics, Wuhan University, Hubei 430072, China.
Chaos (Woodbury, N.Y.)
|September 1, 2022
Summary
Strategies to enhance network synchronizability in community structures involve rewiring inter-community links. Preferentially linking dissimilar nodes improves synchronization more than linking similar nodes, outperforming centrality-based methods.
Area of Science:
- Complex Networks
- Network Synchronization
- Systems Biology
Background:
- Many real-world networks exhibit community structures with dense intra-community and sparse inter-community connections.
- Enhancing network synchronizability is crucial for various applications, including secure communication and biological systems.
Purpose of the Study:
- To propose and evaluate strategies for enhancing the synchronizability of community-structured networks.
- To investigate the impact of inter-community link rewiring on network synchronization.
Main Methods:
- Developed improved Asymmetric Katz (AKatz) and Asymmetric Leicht-Holme-Newman (ALHNII) methods for node similarity measurement.
- Proposed a Node Similarity-Based Rewiring Optimization (NSBRO) algorithm using modified simulated annealing.
- Simulated network synchronization on undirected and diffusively coupled dynamic networks, including the Rössler system.
Main Results:
- Preferentially adding links between nodes with lower similarity significantly improves network synchronizability compared to linking nodes with higher similarity.
- Node similarity-based link addition is more effective than node centrality-based methods for enhancing synchronizability.
- The NSBRO algorithm demonstrates superior performance in optimizing network synchronization compared to centrality-based heuristic methods.
Conclusions:
- Rewiring inter-community links based on node similarity is an effective strategy to enhance the synchronizability of community-structured networks.
- The proposed NSBRO algorithm provides an efficient method for optimizing network structure for improved synchronization.
- Optimized network structures lead to enhanced synchronizability in coupled oscillator systems.
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