Synchronization in complex networks

被引:2956
作者
Arenas, Alex [1 ,2 ]
Diaz-Guilera, Albert [1 ,3 ]
Kurths, Jurgen [4 ,5 ]
Moreno, Yamir [1 ,6 ]
Zhou, Changsong [7 ,8 ]
机构
[1] Univ Zaragoza, Inst Biocomputat & Phys Complex Syst BIFI, E-50009 Zaragoza, Spain
[2] Univ Rovira & Virgili, Dept Engn Informat & Matemat, Tarragona 43007, Spain
[3] Univ Barcelona, Dept Fis Fonamental, E-08028 Barcelona, Spain
[4] Humboldt Univ, Inst Phys, D-12489 Berlin, Germany
[5] Potsdam Inst Climate Impact Res, D-14412 Potsdam, Germany
[6] Univ Zaragoza, Dept Theoret Phys, E-50009 Zaragoza, Spain
[7] Hong Kong Baptist Univ, Dept Phys, Kowloon Tong, Hong Kong, Peoples R China
[8] Hong Kong Baptist Univ, Ctr Nonlinear Studies, Kowloon Tong, Hong Kong, Peoples R China
来源
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS | 2008年 / 469卷 / 03期
关键词
Synchronization; Complex networks;
D O I
10.1016/j.physrep.2008.09.002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页码:93 / 153
页数:61
相关论文
共 277 条
  • [1] The Kuramoto model:: A simple paradigm for synchronization phenomena
    Acebrón, JA
    Bonilla, LL
    Vicente, CJP
    Ritort, F
    Spigler, R
    [J]. REVIEWS OF MODERN PHYSICS, 2005, 77 (01) : 137 - 185
  • [2] Alavi Y., 1991, Graph theory, combinatorics, and applications, V2, P871
  • [3] Statistical mechanics of complex networks
    Albert, R
    Barabási, AL
    [J]. REVIEWS OF MODERN PHYSICS, 2002, 74 (01) : 47 - 97
  • [4] The interplay of universities and industry through the FP5 network
    Almendral, Juan A.
    Oliveira, J. G.
    Lopez, L.
    Sanjuan, Miguel A. F.
    Mendes, J. F. F.
    [J]. NEW JOURNAL OF PHYSICS, 2007, 9
  • [5] Self-organized and driven phase synchronization in coupled map networks
    Amritkar, RE
    Jalan, S
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 321 (1-2) : 220 - 225
  • [6] Anderson W. N., 1985, Linear Multilinear Algebra, V18, P141, DOI [10.1080/03081088508817681, DOI 10.1080/03081088508817681]
  • [7] Apollonian networks: Simultaneously scale-free, small world, Euclidean, space filling, and with matching graphs
    Andrade, JS
    Herrmann, HJ
    Andrade, RFS
    da Silva, LR
    [J]. PHYSICAL REVIEW LETTERS, 2005, 94 (01)
  • [8] [Anonymous], 2006, AD HOC NETWORKS FUND
  • [9] [Anonymous], 1993, Chaos in Dynamical Systems
  • [10] Synchronization reveals topological scales in complex networks
    Arenas, A
    Díaz-Guilera, A
    Pérez-Vicente, CJ
    [J]. PHYSICAL REVIEW LETTERS, 2006, 96 (11)