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

Stich, Michael, Casal, Alfonso C. and Díaz, Jesús Ildefonso (2007). Control of turbulence in oscillatory reaction-diffusion systems through a combination of global and local feedback. Physical Review E, 76 (3),

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.

Publication DOI: https://doi.org/10.1103/PhysRevE.76.036209
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Uncontrolled Keywords: Physics and Astronomy(all),Condensed Matter Physics,Statistical and Nonlinear Physics,Mathematical Physics
Full Text Link: http://digital. ... _turbulence.pdf
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
Published Date: 2007-09-19
Authors: Stich, Michael ( 0000-0001-8862-1044)
Casal, Alfonso C.
Díaz, Jesús Ildefonso

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