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  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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Network synchronization: Spectral versus statistical properties

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Date

2006-12

Author

Atay, Fatihcan Mehmet
Bıyıkoğlu, Türker
Jost, Jürgen

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Citation

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

Abstract

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.

Source

Physica D: Nonlinear Phenomena

Volume

224

Issue

1-2

URI

https://hdl.handle.net/11729/204
http://dx.doi.org/10.1016/j.physd.2006.09.018

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Scopus İndeksli Makale Koleksiyonu [915]
  • WoS İndeksli Makale Koleksiyonu [929]



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