Optimal Synchronizability in Networks of Coupled Systems: Topological View
- Publisher:
- Institute of Electrical and Electronics Engineers
- Publication Type:
- Journal Article
- Citation:
- IEEE Transactions on Network Science and Engineering, 2021, 8, (2), pp. 1517-1530
- Issue Date:
- 2021-04-01
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Filename | Description | Size | |||
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Optimal_Synchronizability_in_Networks_of_Coupled_Systems_Topological_View.pdf | 1.8 MB |
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Many engineered and natural systems are modeled as networks of coupled systems. Synchronization is one of their crucial and well-studied behaviors. Uniform coupling strength has been the benchmark practice in the majority of the literature. This paper considers nonuniform coupling strength, and a modified approach to the problem of synchronizability optimization, enabling a reduction to a spectral radius minimization problem, which can reach a unique optimal point on the Pareto Frontier. It is established that adding any edge to a connected graph can only improve synchronizability in this optimal measure. This result is utilized for developing a hierarchy between topologies. It is shown that several proposed structural parameters, including betweenness centrality, do not have any simple relationship to the optimal synchronizability measure.
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