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Phase chaos and multistability in the discrete Kuramoto model

Nonlinear Oscillations, ISSN: 1536-0059, Vol: 11, Issue: 2, Page: 229-241
2008
  • 5
    Citations
  • 0
    Usage
  • 11
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    5
    • Citation Indexes
      5
  • Captures
    11

Article Description

The paper describes the appearance of a novel high-dimensional chaotic regime, called phase chaos, in the discrete Kuramoto model of globally coupled phase oscillators. This type of chaos is observed at small and intermediate values of the coupling strength. It is caused by the nonlinear interaction of the oscillators, while the individual oscillators behave periodically when left uncoupled. For the four-dimensional discrete Kuramoto model, we outline the region of phase chaos in the parameter plane, distinguish the region where the phase chaos coexists with other periodic attractors, and demonstrate, in addition, that the transition to the phase chaos takes place through the torus destruction scenario. © 2008 Springer Science+Business Media, Inc.

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