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Related Experiment Videos

Periodic phase synchronization in coupled chaotic oscillators.

Won-Ho Kye1, Dae-Sic Lee, Sunghwan Rim

  • 1National Creative Research Initiative Center for Controlling Optical Chaos, Pai-Chai University, Daejeon 302-735, Korea.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
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Before phase synchronization, a periodic phase synchronization state emerges, characterized by temporal phase-locking. This state, observed in coupled chaotic oscillators, precedes full synchronization and impacts Lyapunov exponents.

Area of Science:

  • Nonlinear dynamics
  • Chaos theory
  • Statistical physics

Background:

  • Phase synchronization is a key phenomenon in coupled nonlinear systems.
  • Understanding the transition to phase synchronization is crucial for analyzing system behavior.
  • Lyapunov exponents characterize the stability and predictability of dynamical systems.

Purpose of the Study:

  • To investigate the characteristics of temporal phase locking states leading to phase synchronization.
  • To identify and characterize pre-synchronization states in coupled chaotic oscillators.
  • To explore the relationship between temporal phase locking and Lyapunov exponents.

Main Methods:

  • Analysis of temporal phase locking states.
  • Calculation and statistical measurement of Lyapunov exponents.

Related Experiment Videos

  • Modeling of unidirectionally and mutually coupled chaotic oscillators.

    • Main Results:

    • A periodic phase synchronization state precedes full phase synchronization.
    • This pre-synchronization state is characterized by the periodic appearance of temporal phase-locking.
    • Local negativity in Lyapunov exponents is observed during this periodic phase synchronization state.

    Conclusions:

    • The route to phase synchronization involves a distinct periodic phase synchronization state.
    • This state provides evidence for a specific dynamical behavior in coupled chaotic systems.
    • A nonuniform oscillator model in the presence of noise can qualitatively describe this phenomenon.