Control spiral and multi-spiral wave in the complex Ginzburg-Landau equation

In this letter, scheme is proposed to suppress the spiral wave and multi-spiral waves in the complex Ginzburg-Landau equation (CGLE) under a local feedback control, which the perturbation is imposed on a small square area about 3 x 3 grids in the center of the media under periodical boundary conditions and 5 x 5 grids in the boundary of the media under no-flux conditions. Starting from random and/or perpendicular-gradient initial conditions, and the periodical boundary condition and/or no-flux boundary condition is in consideration, respectively. The numerical simulation results show that a target wave appears as the feedback began to work and the spiral and multi-spiral waves are overcome by the new generated target wave, furthermore, it confirms its effectiveness even if the spatiotemporal noise is introduced into the whole media. (C) 2006 Elsevier Ltd. All rights reserved.