Controlling Spiral Waves in Confined Geometries by Global Feedback

V. S. Zykov, A. S. Mikhailov, and S. C. Müller
Phys. Rev. Lett. 78, 3398 – Published 28 April 1997
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Abstract

The evolution of spiral waves on a circular domain and on a spherical surface is studied by numerical integration of a reaction-diffusion system with a global feedback. It is shown that depending on intensity, sign, and/or time delay in the feedback loop a global coupling can be effectively used either to stabilize the rigid rotation of a spiral wave or to completely destroy spiral waves and to suppress self-sustained activity in a confined domain of an excitable medium. An explanation of the numerically observed effects is produced by a kinematical model of spiral wave propagation.

  • Received 23 December 1996

DOI:https://doi.org/10.1103/PhysRevLett.78.3398

©1997 American Physical Society

Authors & Affiliations

V. S. Zykov1, A. S. Mikhailov2, and S. C. Müller1

  • 1Institut für Experimentelle Physik, Otto-von-Guericke-Universität, Universitätsplatz 2, D-39106 Magdeburg, Germany
  • 2Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, D-14195 Berlin, Germany

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Vol. 78, Iss. 17 — 28 April 1997

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