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Intermittency in chaotic rotations

Lai1, Armbruster, Kostelich

  • 1Department of Mathematics, Arizona State University, Tempe, Arizona 85287 and Department of Electrical Engineering, Center for Systems Science and Engineering Research, Arizona State University, Tempe, Arizona 85287, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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Rotational dynamics in chaotic flows show on-off intermittency, behaving like a harmonic oscillator with sudden bursts. This intermittent behavior is common in chaotic systems.

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Chaos Theory

Background:

  • Chaotic flows exhibit complex dynamics.
  • Understanding rotational behavior in these systems is crucial.

Purpose of the Study:

  • To investigate the rotational dynamics of bounded chaotic flows.
  • To identify and characterize intermittent behaviors in chaotic attractors.

Main Methods:

  • Analysis of phase-space trajectories.
  • Definition and tracking of chaotic rotation.
  • Identification of intermittent bursts.

Main Results:

  • Chaotic rotation approximates harmonic oscillator motion.
  • On-off intermittency is a typical feature of these dynamics.

Related Experiment Videos

  • Intermittent behavior observed across multiple chaotic systems.

    • Conclusions:

    • The rotational dynamics of bounded chaotic flows generally exhibit on-off intermittency.
    • This behavior is characterized by periods of near-uniform rotation interspersed with sudden deviations.
    • The findings suggest a general principle in chaotic system dynamics.