Optimization of synchronizability in complex spatial networks

Al Khafaf, N and Jalili, M 2019, 'Optimization of synchronizability in complex spatial networks', Physics A: Statistical Mechanics and its Applications, vol. 514, pp. 46-55.


Document type: Journal Article
Collection: Journal Articles

Title Optimization of synchronizability in complex spatial networks
Author(s) Al Khafaf, N
Jalili, M
Year 2019
Journal name Physics A: Statistical Mechanics and its Applications
Volume number 514
Start page 46
End page 55
Total pages 10
Publisher Elsevier BV* North-Holland
Abstract Many real-world phenomena can be modelled as spatial networks where nodes have distinct geographical location. Examples include power grids, transportation networks and the Internet. This paper focuses on optimizing the synchronizability of spatial networks. We consider the eigenratio of the Laplacian Matrix of the connection graph as a metric measuring the synchronizability of the network and develop an efficient rewiring mechanism to optimize the topology of the network for synchronizability, i.e., minimizing the eigenratio. The Euclidean distance between two connected nodes is considered as their connection weights, and the sum of all connection weights is defined as the network cost. The proposed optimization algorithm constructs spatial networks with a certain number of nodes and a predefined network cost. We also study the topological properties of the optimized networks. This algorithm can be used to construct spatial networks with optimal synchronization properties.
Subject Complex Physical Systems
Keyword(s) Optimization
Power grids
Spatial networks
Synchronization
DOI - identifier 10.1016/j.physa.2018.09.030
Copyright notice © 2018 Elsevier B.V.
ISSN 0378-4371
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