Controlling turbulence in the complex Ginzburg-Landau equation

Battogtokh, D.; Mikhailov, Alexander S.

doi:10.1016/0167-2789(95)00232-4

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Controlling turbulence in the complex Ginzburg-Landau equation

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Battogtokh, D.
Fritz Haber Institute, Max Planck Society;

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

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Citation

Battogtokh, D., & Mikhailov, A. S. (1996). Controlling turbulence in the complex Ginzburg-Landau equation. Physica D: Nonlinear Phenomena, 90(1-2), 84-95. doi:10.1016/0167-2789(95)00232-4.

Cite as: https://hdl.handle.net/21.11116/0000-0009-ACA7-9

Abstract

We suggest that diffusion-induced turbulence in distributed dynamical systems near a supercritical Hopf bifurcation can be controlled by means of global delayed feedback. Analytical and numerical investigations of this method for a system described by the complex Ginzburg-Landau equation are performed. Suppression of phase and amplitude turbulence is found inside a window of delay times under increasing the intensity of the control signal.