Controlling spatio-temporal chaos in the scenario of the one-dimensional complex Ginzburg-Landau equation

Abstract

We discuss some issues related with the process of controlling space-time chaotic states in the one dimensional Complex Ginzburg-Landau equation (CGLE). We address the problem of gathering control over turbulent regimes with the only use of a limited number of controllers, each one of them implementing in parallel a local control technique for restoring an unstable plane wave solution. We show that the system extension does not in uence the density of controllers needed in order to achieve control.