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.
authors.affiliation: Centro de Astrobiología (CSIC-INTA), Instituto Nacional de Técnica Aeroespacial, Ctra de Ajalvir km 4, 28850 Torrejón de Ardoz, Madrid, Spain. stichm@inta.es
authors.forename: Michael
authors.initials: M
authors.lastname: Stich
authors.forename: Alfonso C
authors.initials: AC
authors.lastname: Casal
authors.forename: Jesús Ildefonso
authors.initials: JI
authors.lastname: Díaz