Synchronization in complex networks

Alex Arenas, Albert Diaz-Guilera, Jurgen Kurths, Yamir Moreno, Changsong Zhou

Research output: Contribution to journalLiterature review

1782 Citations (Scopus)

Abstract

Synchronization processes in populations of locally interacting elements are the focus of intense research in physical, biological, chemical, technological and social systems. The many efforts devoted to understanding synchronization phenomena in natural systems now take advantage of the recent theory of complex networks. In this review, we report the advances in the comprehension of synchronization phenomena when oscillating elements are constrained to interact in a complex network topology. We also take an overview of the new emergent features coming out from the interplay between the structure and the function of the underlying patterns of connections. Extensive numerical work as well as analytical approaches to the problem are presented. Finally, we review several applications of synchronization in complex networks to different disciplines: biological systems and neuroscience, engineering and computer science, and economy and social sciences. (C) 2008 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)93-153
Number of pages61
JournalPhysics Reports
Volume469
Issue number3
Early online date24 Sep 2008
DOIs
Publication statusPublished - Dec 2008

Keywords

  • Synchronization
  • Complex networks
  • small-world networks
  • scale-free networks
  • phase-synchronization
  • community structure
  • brain networks
  • functional connectivity
  • coupled oscillators
  • dynamical networks
  • chaotic systems
  • cerebral-cortex

Cite this

Arenas, A., Diaz-Guilera, A., Kurths, J., Moreno, Y., & Zhou, C. (2008). Synchronization in complex networks. Physics Reports, 469(3), 93-153. https://doi.org/10.1016/j.physrep.2008.09.002

Synchronization in complex networks. / Arenas, Alex; Diaz-Guilera, Albert; Kurths, Jurgen; Moreno, Yamir; Zhou, Changsong.

In: Physics Reports, Vol. 469, No. 3, 12.2008, p. 93-153.

Research output: Contribution to journalLiterature review

Arenas, A, Diaz-Guilera, A, Kurths, J, Moreno, Y & Zhou, C 2008, 'Synchronization in complex networks' Physics Reports, vol. 469, no. 3, pp. 93-153. https://doi.org/10.1016/j.physrep.2008.09.002
Arenas A, Diaz-Guilera A, Kurths J, Moreno Y, Zhou C. Synchronization in complex networks. Physics Reports. 2008 Dec;469(3):93-153. https://doi.org/10.1016/j.physrep.2008.09.002
Arenas, Alex ; Diaz-Guilera, Albert ; Kurths, Jurgen ; Moreno, Yamir ; Zhou, Changsong. / Synchronization in complex networks. In: Physics Reports. 2008 ; Vol. 469, No. 3. pp. 93-153.
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