Evolution of microscopic and mesoscopic synchronized patterns in complex networks

被引:8
|
作者
Gomez-Gardenes, Jesus [1 ,2 ]
Moreno, Yamir [2 ,3 ]
Arenas, Alex [2 ,4 ]
机构
[1] Univ Zaragoza, Dept Fis Mat Condensada, E-50009 Zaragoza, Spain
[2] Univ Zaragoza, Inst Biocomputat & Phys Complex Syst BIFI, Zaragoza 50018, Spain
[3] Univ Zaragoza, Fac Ciencias, Dept Fis Teor, E-50009 Zaragoza, Spain
[4] Univ Rovira & Virgili, Dept Engn Informat & Matemat, Tarragona 43007, Spain
关键词
HIERARCHICAL SYNCHRONIZATION; KURAMOTO OSCILLATORS;
D O I
10.1063/1.3532801
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Previous studies about synchronization of Kuramoto oscillators in complex networks have shown how local patterns of synchronization emerge differently in homogeneous and heterogeneous topologies. The main difference between the paths to synchronization in both topologies is rooted in the growth of the largest connected component of synchronized nodes when increasing the coupling between the oscillators. Nevertheless, a recent study focusing on this same phenomenon has claimed the contrary, stating that the statistical distribution of synchronized clusters for both types of networks is similar. Here we provide extensive numerical evidences that confirm the original claims, namely, that the microscopic and mesoscopic dynamics of the synchronized patterns indeed follow different routes. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3532801]
引用
收藏
页数:6
相关论文
共 50 条
  • [1] The Interplay between Microscopic and Mesoscopic Structures in Complex Networks
    Reichardt, Joerg
    Alamino, Roberto
    Saad, David
    PLOS ONE, 2011, 6 (08):
  • [2] Microscopic, mesoscopic and macroscopic descriptions of complex systems
    Lachowicz, Miroslaw
    PROBABILISTIC ENGINEERING MECHANICS, 2011, 26 (01) : 54 - 60
  • [3] Patterns of synchronized clusters in adaptive networks
    Lodi, Matteo
    Panahi, Shirin
    Sorrentino, Francesco
    Torcini, Alessandro
    Storace, Marco
    COMMUNICATIONS PHYSICS, 2024, 7 (01):
  • [4] Measuring microscopic evolution processes of complex networks based on empirical data
    Chi, Liping
    4TH INTERNATIONAL WORKSHOP ON STATISTICAL PHYSICS AND MATHEMATICS FOR COMPLEX SYSTEMS (SPMCS2014), 2015, 604
  • [5] Quantum-classical correspondence in microscopic and mesoscopic complex collisions
    Kun, SY
    Vagov, AV
    Greiner, W
    PHYSICAL REVIEW C, 2001, 63 (01): : 146081 - 146085
  • [6] Synchronization of weighted networks and complex synchronized regions
    Duan, Zhisheng
    Chen, Guanrong
    Huang, Lin
    PHYSICS LETTERS A, 2008, 372 (21) : 3741 - 3751
  • [7] Notes on resonant and synchronized states in complex networks
    Bartesaghi, Paolo
    CHAOS, 2023, 33 (03)
  • [8] Disconnected Synchronized Regions of Complex Dynamical Networks
    Duan, Zhisheng
    Chen, Guanrong
    Huang, Lin
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (04) : 845 - 849
  • [9] Structural properties of the synchronized cluster on complex networks
    Kim, Yup
    Ko, Yongjin
    Yook, Soon-Hyung
    PHYSICAL REVIEW E, 2010, 81 (01)
  • [10] Representation of texts as complex networks: a mesoscopic approach
    de Arruda, Henrique Ferraz
    Silva, Filipi Nascimento
    Marinho, Vanessa Queiroz
    Amancio, Diego Raphael
    Costa, Luciano da Fontoura
    JOURNAL OF COMPLEX NETWORKS, 2018, 6 (01) : 125 - 144