Control of turbulence in oscillatory reaction-diffusion systems through a combination of global and local feedback.
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.
Stich
Michael
M
Centro de Astrobiología (CSIC-INTA), Instituto Nacional de Técnica Aeroespacial, Ctra de Ajalvir km 4, 28850 Torrejón de Ardoz, Madrid, Spain. stichm@inta.es
Casal
Alfonso C
AC
Díaz
Jesús Ildefonso
JI