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Synchronization and intermittency in three-coupled chaotic oscillators.

Nobunari Tsukamoto1, Syuji Miyazaki, Hirokazu Fujisaka

  • 1Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan. tsukamo@acs.i.kyoto-u.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
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Researchers studied synchronization in coupled chaotic oscillators. They observed partial synchronization and a novel intermittency, leading to anomalous diffusion distinct from on-off intermittency.

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Coupled chaotic oscillators are fundamental in understanding complex systems.
  • Synchronization phenomena, including complete and partial synchronization, are key areas of study.
  • Intermittency and anomalous diffusion are critical indicators of system dynamics.

Purpose of the Study:

  • To investigate the synchronization dynamics of three-coupled chaotic oscillators.
  • To analyze the occurrence and characteristics of partial synchronization (PS).
  • To identify and characterize novel intermittency phenomena and their statistical properties.

Main Methods:

  • Utilized a coupled map system derived for interacting kicked relaxators.
  • Observed and analyzed both complete and partial synchronization.

Related Experiment Videos

  • Investigated intermittency associated with the breakdown of PS.
  • Elucidated statistical properties, including burst-size and laminar duration distributions.

    • Main Results:

    • Confirmed the occurrence of both complete and partial synchronization in the three-coupled chaotic oscillator system.
    • Identified a novel type of intermittency linked to the breakdown of partial synchronization.
    • Characterized the statistical distributions associated with this intermittency.
    • Demonstrated that the breakdown of PS leads to anomalous diffusion distinct from on-off intermittency.

    Conclusions:

    • The study reveals complex synchronization behaviors in coupled chaotic oscillators.
    • A novel intermittency, different from conventional types, was discovered and analyzed.
    • The breakdown of partial synchronization is a source of anomalous diffusion, expanding our understanding of chaotic system dynamics.