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Related Experiment Videos

Synchronous chaos in coupled map lattices with small-world interactions

Gade1, Hu

  • 1Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
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Synchronous chaos is a stable attractor in systems with small-world couplings, where randomness enhances synchronization. System size influences collective behavior through size-dependent bifurcations.

Area of Science:

  • Physics
  • Complex Systems
  • Network Science

Background:

  • Extensive interactions are common in physical systems.
  • Small-world networks exhibit unique topological properties.

Purpose of the Study:

  • To investigate the role of small-world couplings in system dynamics.
  • To determine the conditions for synchronous chaos.
  • To analyze the impact of network structure on collective behavior.

Main Methods:

  • Analysis of systems with a fixed fraction of nonlocal couplings.
  • Examination in the thermodynamic limit.
  • Study of size-dependent bifurcations.

Main Results:

  • Synchronous chaos is a stable attractor for small-world couplings.

Related Experiment Videos

  • Randomness in couplings promotes synchronization.
  • Collective behavior exhibits size-dependent bifurcations.

    • Conclusions:

    • Small-world networks facilitate stable synchronous chaos.
    • Network randomness is crucial for synchronization.
    • System size critically affects emergent collective behavior.