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Synchronization between two coupled complex networks.

Changpin Li1, Weigang Sun, Jürgen Kurths

  • 1Department of Mathematics, Shanghai University, 200444 Shanghai, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2007
PubMed
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We analyzed synchronization in unidirectionally coupled networks. A criterion for synchronization was derived for networks with identical topology, confirmed by numerical examples.

Area of Science:

  • Complex systems
  • Network science
  • Nonlinear dynamics

Background:

  • Synchronization phenomena are crucial in complex systems.
  • Previous studies focused on synchronization within a single network.
  • This work extends the scope to synchronization between two coupled networks.

Purpose of the Study:

  • To generalize and analytically derive synchronization criteria for unidirectionally coupled networks.
  • To investigate the impact of topological connectivity on synchronization.
  • To explore synchronization dynamics in networks with differing structures.

Main Methods:

  • Analytical derivation of a synchronization criterion.
  • Numerical simulations for networks with identical topology.

Related Experiment Videos

  • Numerical calculations for networks with different topological connections.

    • Main Results:

    • An analytical criterion for synchronization was established for networks with identical internal topology.
    • Numerical examples validated the theoretical findings.
    • Networks with different topologies exhibited alternating synchronization and desynchronization as coupling strength varied.

    Conclusions:

    • The study provides a theoretical framework for understanding synchronization between coupled networks.
    • Network topology significantly influences synchronization behavior.
    • Complex synchronization patterns emerge in networks with heterogeneous connectivity.