Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-06-20
Physica D 224:35-41 (2006)
Physics
Condensed Matter
Disordered Systems and Neural Networks
Scientific paper
10.1016/j.physd.2006.09.018
We consider synchronization of weighted networks, possibly with asymmetrical connections. We show that the synchronizability of the networks cannot be directly inferred from their statistical properties. Small local changes in the network structure can sensitively affect the eigenvalues relevant for synchronization, while the gross statistical network properties remain essentially unchanged. Consequently, commonly used statistical properties, including the degree distribution, degree homogeneity, average degree, average distance, degree correlation, and clustering coefficient, can fail to characterize the synchronizability of networks.
Atay Fatihcan M.
Biyikoglu Turker
Jost Juergen
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