Synchronization processes in complex networks

被引:124
作者
Arenas, Alex [1 ]
Diaz-Guilera, Albert
Perez-Vicente, Conrad J.
机构
[1] Univ Rovira & Virgili, Dept Engn Informat & Matemat, Tarragona 43007, Spain
[2] Univ Barcelona, Dept Fis Fonamental, E-08028 Barcelona, Spain
关键词
synchronization; complex networks; spectral analysis;
D O I
10.1016/j.physd.2006.09.029
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present an extended analysis, based on the dynamics towards synchronization of a system of coupled oscillators, of the hierarchy of communities in complex networks. In the synchronization process, different structures corresponding to well defined communities of nodes appear in a hierarchical way. The analysis also provides a useful connection between synchronization dynamics, complex networks topology and spectral graph analysis. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:27 / 34
页数:8
相关论文
共 44 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] Statistical mechanics of complex networks
    Albert, R
    Barabási, AL
    [J]. REVIEWS OF MODERN PHYSICS, 2002, 74 (01) : 47 - 97
  • [3] [Anonymous], NEXUS
  • [4] Synchronization reveals topological scales in complex networks
    Arenas, A
    Díaz-Guilera, A
    Pérez-Vicente, CJ
    [J]. PHYSICAL REVIEW LETTERS, 2006, 96 (11)
  • [5] Synchronization of networks with prescribed degree distributions
    Atay, FM
    Biyikoglu, T
    Jost, J
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (01) : 92 - 98
  • [6] Synchronization in small-world systems
    Barahona, M
    Pecora, LM
    [J]. PHYSICAL REVIEW LETTERS, 2002, 89 (05) : 054101/1 - 054101/4
  • [7] Number of loops of size h in growing scale-free networks -: art. no. 078701
    Bianconi, G
    Capocci, A
    [J]. PHYSICAL REVIEW LETTERS, 2003, 90 (07) : 4
  • [8] Biggs N., 1974, ALGEBRAIC GRAPH THEO
  • [9] Complex networks: Structure and dynamics
    Boccaletti, S.
    Latora, V.
    Moreno, Y.
    Chavez, M.
    Hwang, D. -U.
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5): : 175 - 308
  • [10] Detecting communities in large networks
    Capocci, A
    Servedio, VDP
    Caldarelli, G
    Colaiori, F
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 352 (2-4) : 669 - 676