Controlling spatio-temporal chaos in the scenario of the one-dimensional complex Ginzburg-Landau equation.
We discuss some issues related with the process of controlling space-time chaotic states in the one-dimensional complex Ginzburg-Landau equation. We address the problem of gathering control over turbulent regimes with the use of only 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 influence the density of controllers needed in order to achieve control.
Boccaletti
S
S
Istituto Nazionale di Ottica Applicata, Largo E Fermi, 6, 50125 Florence, Italy. stefano@ino.it
Bragard
J
J
D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D007700:Kinetics; D019563:Mechanics; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*; D013598:Systems Theory