Transition to intermittent chaotic synchronization

Liang Zhao, Ying-Cheng Lai, C W Shih

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Coupled chaotic oscillators can exhibit intermittent synchronization in the weakly coupling regime, as characterized by the entrainment of their dynamical variables in random time intervals of finite duration. We find that the transition to intermittent synchronization can be characteristically distinct for geometrically different chaotic attractors. In particular, for coupled phase-coherent chaotic attractors such as those from the Rossler system, the transition occurs immediately as the coupling is increased from zero. For phase-incoherent chaotic attractors such as those in the Lorenz system, the transition occurs only when the coupling is sufficiently strong. A theory based on the behavior of the Lyapunov exponents and unstable periodic orbits is developed to understand these distinct transitions.

Original languageEnglish
Article number036212
Number of pages7
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume72
Issue number3
DOIs
Publication statusPublished - Sep 2005

Keywords

  • coupled-oscillator systems
  • stability theory
  • periodic orbits
  • dynamical systems
  • motion
  • bifurcation
  • attractors
  • phase

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