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Annihilation of turbulence in excitable systems using pulses that inhibit activator growth

MPS-Authors

Woltering,  Matthias
Max Planck Institute of Molecular Physiology, Max Planck Society;

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Markus,  Mario
Sonstige Wissenschaftliche Organisationseinheiten, Max Planck Institute of Molecular Physiology, Max Planck Society;

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Citation

Woltering, M., & Markus, M. (2002). Annihilation of turbulence in excitable systems using pulses that inhibit activator growth. Physica D, 168-169: 1, pp. 23-34. Retrieved from http://dx.doi.org/10.1016/S0167-2789(02)00492-X.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0014-0E28-1
Abstract
We consider turbulence consisting of erratically moving wave pieces in excitable systems. We investigate three such systems: numerical solutions of the Bär-Eiswirth model, a quasi-two- dimensional experimental setup for the Belousov-Zhabotinsky (BZ) reaction in a coarse-grained medium, and a three- dimensional experimental setup for the BZ reaction in a methanol gradient. An activator-flux pulse that displaces the activator nullcline parallely to the inhibitor axis can split a wave into two waves moving in opposite directions; we show that a finite train of such pulses can completely annihilate turbulence in the three investigated systems.