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Interference patterns in spiral wave drift induced by a two-point feedback.

V S Zykov1, H Brandtstädter, G Bordiougov

  • 1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, D-10623 Berlin, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 21, 2006
PubMed
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Researchers analyzed spiral wave motion in excitable media with two-point feedback control. Increasing feedback control destroyed circular attractors, creating zero drift velocity lines, similar to optical interference patterns.

Area of Science:

  • Nonlinear Dynamics
  • Chemical Kinetics
  • Physical Chemistry

Background:

  • Spiral waves in excitable media are complex phenomena with applications in various scientific fields.
  • Understanding the dynamics of spiral waves under external control is crucial for predicting and manipulating their behavior.
  • Two-point feedback control offers a novel method for influencing spiral wave motion.

Purpose of the Study:

  • To derive and analyze the drift velocity field of spiral waves in an excitable medium under two-point feedback control.
  • To investigate the effect of varying the distance between control points on spiral wave dynamics.
  • To explore the emergence of novel equilibrium structures and their physical implications.

Main Methods:

  • Derivation and analysis of the drift velocity field equation.

Related Experiment Videos

  • Numerical computations using the Oregonator model.
  • Experimental validation using the light-sensitive Belousov-Zhabotinsky reaction.

    • Main Results:

    • Observation of discrete circular attractors for small control point distances.
    • Global bifurcations leading to the destruction of attractor structures with increased control.
    • Appearance of smooth, unrestricted lines with zero drift velocity, analogous to destructive interference in optics.

    Conclusions:

    • Two-point feedback control can fundamentally alter spiral wave dynamics in excitable media.
    • The study demonstrates the existence of unusual equilibrium manifolds characterized by zero drift velocity.
    • Findings are supported by both computational models and experimental observations, highlighting the robustness of the phenomenon.