Controlling Spiral Waves in Confined Geometries by Global Feedback

Zykov, V. S.; Mikhailov, Alexander S.; Müller, S. C.

doi:10.1103/PhysRevLett.78.3398

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Controlling Spiral Waves in Confined Geometries by Global Feedback

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Mikhailov, Alexander S.
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Citation

Zykov, V. S., Mikhailov, A. S., & Müller, S. C. (1997). Controlling Spiral Waves in Confined Geometries by Global Feedback. Physical Review Letters, 78(17), 3398-3401. doi:10.1103/PhysRevLett.78.3398.

Cite as: https://hdl.handle.net/21.11116/0000-0008-B666-8

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.