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Phase synchronization with type-II intermittency in chaotic oscillators

Kim1, Kim, Kye

  • 1National Creative Research Initiative Center for Controlling Optical Chaos, Department of Physics, Pai Chai University, Seogu, Taejon, 302-735, Korea and Department of Physics, Sogang University, Seoul 121-742, Korea.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|January 4, 2001
PubMed
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Researchers observed type-II intermittency with +/-2pi phase jumps in coupled hyperchaotic systems. This behavior, resembling particle hopping in a potential, follows a specific scaling law before phase synchronization occurs.

Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Complex Systems

Background:

  • Coupled chaotic oscillators exhibit complex synchronization phenomena.
  • Intermittency, a type of chaos-chaos transition, is crucial for understanding system dynamics.
  • Phase synchronization (PS) in coupled systems is a key area of research.

Purpose of the Study:

  • To investigate phase synchronization (PS) in a system of two coupled hyperchaotic Rossler oscillators.
  • To characterize the observed type-II intermittency and its relation to PS.
  • To analyze the scaling law governing the intermittency before PS transition.

Main Methods:

  • Analysis of a system of two coupled hyperchaotic Rossler oscillators.
  • Characterization of type-II intermittency using return map analysis.

Related Experiment Videos

  • Comparison of experimental data with theoretical scaling laws derived from the Fokker-Planck equation.

    • Main Results:

    • Observed +/-2pi irregular phase jumping behavior indicative of type-II intermittency before PS.
    • Interpreted the behavior as stochastic hopping of a particle in a 2pi-periodic potential.
    • Validated the scaling law ~ exp(|epsilon(t)-epsilon|(2)) for the average time interval between jumps.

    Conclusions:

    • The study elucidates the mechanism of type-II intermittency preceding phase synchronization in coupled hyperchaotic systems.
    • The findings align with theoretical predictions from the Fokker-Planck equation, confirming the stochastic nature of the intermittency.
    • This research contributes to understanding complex dynamics and transitions in nonlinear systems.