  We study anticipated synchronization in two complex Ginzburg-Landau systems
coupled in a master-slave configuration. Master and slave systems are ruled by
the same autonomous function, but the slave system receives the injection from
the master and is subject to a negative delayed self-feedback loop. We give
evidence that the magnitude of the largest anticipation time depends on the
dynamical regime where the system operates (defect turbulence, phase turbulence
or bichaos) and scales with the linear autocorrelation time of the system.
Moreover, we find that the largest anticipation times are obtained for
complex-valued coupling constants. We provide analytical conditions for the
stability of the anticipated synchronization manifold that are in qualitative
agreement with those obtained numerically. Finally, we report on the existence
of anticipated synchronization in coupled two-dimensional complex
Ginzburg-Landau systems.
