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Related Experiment Videos

Excitable front geometry in reaction-diffusion systems with anomalous dispersion.

Oliver Steinbock1

  • 1Florida State University, Department of Chemistry, Tallahassee, Florida 32306-4390, USA.

Physical Review Letters
|June 13, 2002
PubMed
Summary

Stable wave propagation in 2D excitable systems with anomalous dispersion is explored. Numerical simulations reveal that pulse trailing fronts can transition between discrete interpulse distances and form sigmoidal shapes.

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Area of Science:

  • Physics
  • Applied Mathematics

Background:

  • Two-dimensional excitable systems exhibit complex wave propagation phenomena.
  • Anomalous dispersion introduces discrete stable states for wave trains.

Purpose of the Study:

  • Investigate the dynamics of pulse pairs in 2D excitable systems with anomalous dispersion.
  • Characterize the transitions and shapes of trailing wave fronts.
  • Develop a theoretical framework for front dynamics.

Main Methods:

  • Numerical simulations of 2D excitable systems.
  • Analysis of pulse pair interactions and trailing front behavior.
  • Kinematic analysis of front dynamics.

Main Results:

  • Discrete interpulse distances enable stable planar wave train propagation.

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  • Trailing fronts transition between stable distances and form sigmoidal shapes.
  • Transition segments exhibit constant speeds, collisions, and fusion.
  • A reaction-diffusion-like equation describes front dynamics.

    • Conclusions:

    • Anomalous dispersion in 2D excitable systems leads to quantized wave behavior.
    • Localized perturbations can drive trailing fronts to specific sigmoidal configurations.
    • The derived kinematic equation provides a simplified model for wave front interactions.