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Optimization of synchronization in complex clustered networks.

Liang Huang1, Ying-Cheng Lai, Robert A Gatenby

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

Chaos (Woodbury, N.Y.)
|April 2, 2008
PubMed
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Complex clustered networks synchronize best when intercluster and intracluster connection probabilities are balanced. Mismatched connections, especially many intracluster links, can surprisingly impair network synchronization.

Area of Science:

  • Network science
  • Complex systems analysis
  • Synchronization theory

Background:

  • Many biological and technological networks exhibit clustered structures.
  • Network synchronization is crucial for various system functions.
  • Understanding synchronizability in clustered networks is essential.

Purpose of the Study:

  • To determine optimal conditions for network synchronizability in clustered networks.
  • To investigate the impact of intercluster and intracluster connection probabilities on synchronization.
  • To identify parameter regions for best synchronization.

Main Methods:

  • Analysis of a two-dimensional parameter plane defined by connection probabilities.
  • Extensive numerical simulations.

Related Experiment Videos

  • Development of an analytic theory.
  • Main Results:

    • Optimal network synchronizability occurs when intercluster and intracluster connection probabilities are approximately matched.
    • A mismatch in probabilities, particularly an excess of intracluster links, can unexpectedly reduce or eliminate synchronization.
    • Increased intracluster links can decrease average network distance but harm synchronization.

    Conclusions:

    • A balance between intercluster and intracluster connections is key for optimal synchronization in clustered networks.
    • Counterintuitive suppression of synchronization can occur due to probability mismatches.
    • Findings offer principles for designing or analyzing networks for enhanced synchronization.