Network synchronization: Spectral versus statistical properties

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Küçük Resim

Tarih

2006-12

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier B.V.

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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