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Related Experiment Videos

Front explosions in three-dimensional resonantly-forced oscillatory systems.

Christopher J Hemming1, Raymond Kapral

  • 1Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario, Canada M5S 3H6.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
Summary

Interface dynamics in 3D coupled map lattices transition from ordered three-phase patterns to chaotic turbulence. This study characterizes a "front explosion" transition, noting differences between 2D and 3D systems.

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Area of Science:

  • Nonlinear dynamics
  • Complex systems science
  • Statistical physics

Background:

  • Coupled map lattices (CMLs) are discrete analogs of partial differential equations, useful for studying spatio-temporal chaos.
  • Three-phase patterns arise in CMLs with period-3 local maps, characterized by spatially uniform domains oscillating through three distinct phases.
  • Turbulent dynamics, a transient chaotic state with long lifetimes, can emerge in these systems.

Purpose of the Study:

  • To investigate the transition from stable three-phase patterns to turbulent dynamics in a 3D coupled map lattice.
  • To characterize the
  • To compare the 3D transition dynamics with those observed in 2D systems and related models like the complex Ginzburg-Landau equation.

Main Methods:

  • Numerical simulations of a three-dimensional coupled map lattice with a period-3 local map.

Related Experiment Videos

  • Analysis of interface dynamics and the development of turbulent structures as a control parameter is varied.
  • Characterization of the
  • Comparative analysis with 2D systems and the resonantly-forced complex Ginzburg-Landau equation.

    • Main Results:

    • A transition to turbulence is observed where interfaces between three-phase domains develop complex, irregular dynamics.
    • A
    • The critical properties of the front explosion transition in 3D systems differ significantly from those in 2D systems.

    Conclusions:

    • The transition to turbulence in 3D CMLs involves a distinct
    • Dimensionality plays a crucial role in the critical behavior of front explosion transitions.
    • The study provides insights into pattern formation and chaos in complex spatio-temporal systems.