Synchronization in complex networks

Alex Arenas; Albert Díaz-Guilera; Jurgen Kurths; Yamir Moreno; Changsong Zhou

doi:10.1016/j.physrep.2008.09.002

Synchronization in complex networks

Alex Arenas
, Albert Díaz-Guilera
, Jurgen Kurths
, Yamir Moreno^*
, Changsong Zhou

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Review article › peer-review

3282 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.

Original language	English
Pages (from-to)	93-153
Number of pages	61
Journal	Physics Reports
Volume	469
Issue number	3
DOIs	https://doi.org/10.1016/j.physrep.2008.09.002
Publication status	Published - Dec 2008

User-Defined Keywords

Complex networks
Synchronization

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10.1016/j.physrep.2008.09.002

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title = "Synchronization in complex networks",

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.",

keywords = "Complex networks, Synchronization",

author = "Alex Arenas and Albert D{\'i}az-Guilera and Jurgen Kurths and Yamir Moreno and Changsong Zhou",

note = "Funding Information: We thank all those that have actively collaborated with us along the years in the subject. Special thanks go to S. Boccaletti for many suggestions and enlightening discussions on the subject of this review. We are also indebted to J. Garc{\'i}a-Ojalvo, C.J. P{\'e}rez-Vicente, J. Schmidt, M. Thiel, for having carefully read the manuscript and for their very helpful comments. A.A. and A.D.-G. thank funding from Spanish Government (BFM-2003-08258 and FIS-2006-13321) and Generalitat de Catalunya (2005SGR00889). JK acknowledges support from the EU Network of Excellence BIOSIM (Contract No. LSHB-CT-2004-005137), the EU Network BRACCIA, the DFG SFB 555, and the BMBF GoFORSYS. Y.M. is supported by MEC through the Ram{\'o}n y Cajal Program, the Spanish DGICYT Projects FIS2006-12781-C02-01 and FIS2005-00337, and by the European NEST Pathfinder project GABA (contract 043309). C.S.Z. is supported by the Faculty Research Grant (FRG) of Hong Kong Baptist University (FRG /07-08/II-08 and FRG/07-08/II-62).",

year = "2008",

month = dec,

doi = "10.1016/j.physrep.2008.09.002",

language = "English",

volume = "469",

pages = "93--153",

journal = "Physics Reports",

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AU - Arenas, Alex

AU - Díaz-Guilera, Albert

AU - Kurths, Jurgen

AU - Moreno, Yamir

AU - Zhou, Changsong

N1 - Funding Information: We thank all those that have actively collaborated with us along the years in the subject. Special thanks go to S. Boccaletti for many suggestions and enlightening discussions on the subject of this review. We are also indebted to J. García-Ojalvo, C.J. Pérez-Vicente, J. Schmidt, M. Thiel, for having carefully read the manuscript and for their very helpful comments. A.A. and A.D.-G. thank funding from Spanish Government (BFM-2003-08258 and FIS-2006-13321) and Generalitat de Catalunya (2005SGR00889). JK acknowledges support from the EU Network of Excellence BIOSIM (Contract No. LSHB-CT-2004-005137), the EU Network BRACCIA, the DFG SFB 555, and the BMBF GoFORSYS. Y.M. is supported by MEC through the Ramón y Cajal Program, the Spanish DGICYT Projects FIS2006-12781-C02-01 and FIS2005-00337, and by the European NEST Pathfinder project GABA (contract 043309). C.S.Z. is supported by the Faculty Research Grant (FRG) of Hong Kong Baptist University (FRG /07-08/II-08 and FRG/07-08/II-62).

PY - 2008/12

Y1 - 2008/12

N2 - 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.

AB - 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.

KW - Complex networks

KW - Synchronization

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DO - 10.1016/j.physrep.2008.09.002

M3 - Review article

AN - SCOPUS:56549084695

SN - 0370-1573

VL - 469

SP - 93

EP - 153

JO - Physics Reports

JF - Physics Reports

IS - 3

ER -

Synchronization in complex networks

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