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Phase locking in on-off intermittency.

M Zhan1, G Hu, D H He

  • 1Department of Physics, Beijing Normal University, Beijing 100875, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
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Investigating coupled chaotic oscillators reveals a transition in on-off intermittency. This study details a codimension-two bifurcation where phase-locking emerges from desynchronization, establishing spatial phase order.

Area of Science:

  • Nonlinear Dynamics
  • Chaos Theory
  • Complex Systems

Background:

  • Coupled chaotic oscillators exhibit complex dynamics, including synchronization and desynchronization.
  • On-off intermittency is a phenomenon observed in chaotic systems, characterized by intermittent bursts of activity.

Purpose of the Study:

  • To investigate the dynamical behavior of on-off intermittency near the chaos synchronization-desynchronization bifurcation parameter line.
  • To identify and characterize transitions between phase-unlocking and phase-locking states in coupled chaotic oscillators.

Main Methods:

  • Analysis of coupled identical chaotic oscillators.
  • Investigation of the parameter space around the synchronization-desynchronization bifurcation line.
  • Examination of the phase space of variable differences to identify bifurcations.

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Main Results:

  • On-off intermittency transitions from phase-unlocking to phase-locking along the bifurcation line.
  • This transition is identified as a codimension-two bifurcation, combining desynchronization and phase locking.
  • In the phase-locking state, oscillators remain chaotic but exhibit on-off intermittency relative to the synchronous manifold with established spatial phase order.

Conclusions:

  • The study identifies a novel codimension-two bifurcation in coupled chaotic systems.
  • Phase-locking in chaotic systems can coexist with on-off intermittency and spatial phase order.
  • Understanding these transitions is crucial for analyzing complex dynamical systems.