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Abnormal synchronization in complex clustered networks.

Liang Huang1, Kwangho Park, Ying-Cheng Lai

  • 1Department of Electrical Engineering, Arizona State University, Tempe, AZ 85287, USA.

Physical Review Letters
|December 13, 2006
PubMed
Summary
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Synchronization in clustered networks depends on the balance between intercluster and intracluster links. Too many intracluster links can surprisingly hinder network synchronization, even with shorter distances.

Area of Science:

  • Complex systems analysis
  • Network science
  • Synchronization phenomena

Background:

  • Complex networks with small average distance and homogeneous degree distribution are generally more synchronizable.
  • However, synchronization dynamics in clustered networks may follow different principles.

Purpose of the Study:

  • To investigate the rules governing synchronization in complex, clustered networks.
  • To determine the impact of intercluster and intracluster links on network synchronizability.

Main Methods:

  • Theoretical modeling of network synchronization.
  • Numerical simulations on clustered network structures.

Main Results:

  • Network synchronizability is dictated by the interplay between intercluster and intracluster links.

Related Experiment Videos

  • Optimal synchronization occurs when intercluster and intracluster links are roughly equal.
  • An excess of intracluster links can suppress synchronization, despite reducing network distance.

    • Conclusions:

    • The balance of link types is crucial for synchronization in clustered networks.
    • Network distance is not the sole determinant of synchronizability in clustered systems.
    • Understanding link distribution is key to controlling synchronization in complex networks.