Controlling turbulence in the complex Ginzburg-Landau equation II. 
Two-dimensional systems

Battogtokh, D.; Preusser, Albrecht; Mikhailov, Alexander S.

doi:10.1016/S0167-2789(97)00046-8

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Controlling turbulence in the complex Ginzburg-Landau equation II. Two-dimensional systems

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

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Preusser, Albrecht
Theory, 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., Preusser, A., & Mikhailov, A. S. (1997). Controlling turbulence in the complex Ginzburg-Landau equation II. Two-dimensional systems. Physica D: Nonlinear Phenomena, 106(3-4), 327-362. doi:10.1016/S0167-2789(97)00046-8.

Cite as: https://hdl.handle.net/21.11116/0000-0008-7F20-6

Abstract

Turbulence in oscillatory distributed systems can be controlled by introducing a delayed global feedback and adjusting the feedback intensity and the delay time. We investigate influence of global feedbacks on turbulence in two-dimensional systems described by the complex Ginzburg-Landau equation. Inside a synchronization window, application of such feedbacks leads to destruction of phase flips and spiral waves, appearance of breathing and stationary cellular structures or stripes, and development of localized turbulent bubbles on the background of uniform oscillations.