Control of turbulence in oscillatory reaction-diffusion systems through a combination of global and local feedback

Michael Stich*, Alfonso C. Casal, Jesús Ildefonso Díaz

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

Global time-delay autosynchronization is known to control spatiotemporal turbulence in oscillatory reaction-diffusion systems. Here, we investigate the complex Ginzburg-Landau equation in the regime of spatiotemporal turbulence and study numerically how local or a combination of global and local time-delay autosynchronization can be used to suppress turbulence by inducing uniform oscillations. Numerical simulations show that while a purely local control is unsuitable to produce uniform oscillations, a mixed local and global control can be efficient and also able to create other patterns such as standing waves, amplitude death, or traveling waves.

Original languageEnglish
Article number036209
Number of pages9
JournalPhysical Review E
Volume76
Issue number3
DOIs
Publication statusPublished - 19 Sep 2007

Fingerprint

Reaction-diffusion System
Turbulence
turbulence
Time Delay
time lag
Oscillation
oscillations
Complex Ginzburg-Landau Equation
Landau-Ginzburg equations
Standing Wave
Local Time
standing waves
death
traveling waves
Traveling Wave
Numerical Simulation
simulation

Cite this

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title = "Control of turbulence in oscillatory reaction-diffusion systems through a combination of global and local feedback",
abstract = "Global time-delay autosynchronization is known to control spatiotemporal turbulence in oscillatory reaction-diffusion systems. Here, we investigate the complex Ginzburg-Landau equation in the regime of spatiotemporal turbulence and study numerically how local or a combination of global and local time-delay autosynchronization can be used to suppress turbulence by inducing uniform oscillations. Numerical simulations show that while a purely local control is unsuitable to produce uniform oscillations, a mixed local and global control can be efficient and also able to create other patterns such as standing waves, amplitude death, or traveling waves.",
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Control of turbulence in oscillatory reaction-diffusion systems through a combination of global and local feedback. / Stich, Michael; Casal, Alfonso C.; Díaz, Jesús Ildefonso.

In: Physical Review E, Vol. 76, No. 3, 036209, 19.09.2007.

Research output: Contribution to journalArticle

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