Network synchronization: Spectral versus statistical properties
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Dosyalar
Tarih
2006-12
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier B.V.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We consider synchronization of weighted networks, possibly with asymmetrical connections. Focusing on causal relations rather than the observed correlations, we show that the synchronizability of 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 in terms of causal relations, despite the observed correlations.
Açıklama
Anahtar Kelimeler
Synchronization, Graph, Degree distribution, Laplacian, Algebraic connectivity, Complex networks, Chaotic systems, Graphs, Emergence, Correlation methods, Eigenvalues and eigenfunctions, Graph theory, Nonlinear systems, Synchronization, Computer networks
Kaynak
Physica D: Nonlinear Phenomena
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
224
Sayı
1-2
Künye
Atay, F. M., Bıyıkoğlu, T. & Jost, J. (2006). Network synchronization: Spectral versus statistical properties. Physica D: Nonlinear Phenomena, 224(1-2), 35-41. doi:10.1016/j.physd.2006.09.018