Title
Synchronization in Directed Complex Networks Using Graph Comparison Tools
Abstract
This paper proposes lower bounds for the coupling strengths of oscillators in directed networks to guarantee global synchronization. The novel idea of graph comparison from spectral graph theory is employed so that the combinatorial features of a given network can be fully utilized to simplify computations. For large networks that can be decomposed into a set of smaller strongly connected components, the comparison can be carried out at the local level as well. To validate theoretical analysis, examples are provided to demonstrate how to apply the proposed methodologies to typical directed complex networks.
Year
DOI
Venue
2015
10.1109/TCSI.2015.2395632
IEEE Trans. on Circuits and Systems
Keywords
Field
DocType
directed complex networks,coupling strength allocation,coupling strength,graph comparison tool,complex networks,synchronization,oscillator,directed graphs,global synchronization,oscillators,spectral graph theory,synchronisation,couplings,graph theory,symmetric matrices
Graph theory,Geometric networks,Directed graph,Power graph analysis,Theoretical computer science,Wait-for graph,Complex network,Strongly connected component,Mathematics,Moral graph
Journal
Volume
Issue
ISSN
62
4
1549-8328
Citations 
PageRank 
References 
7
0.43
6
Authors
5
Name
Order
Citations
PageRank
Hui Liu1242.53
Ming Cao22343249.61
Chai Wah Wu333067.62
Junan Lu465155.81
Chi K. Tse51153155.94