S. Boccaletti, J. Bragard. “Controlling spatio-temporal chaos in the scenario of the one-dimensional complex Ginzburg-Landau equation”. Philosophical Transactions of the Royal Society A-Mathematical Physical an engineering Sciences, vol. 364, (2006).
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.