Spatiotemporal chaos, localized structures and synchronization in the vector complex Ginzburg-Landau equation

We study the spatiotemporal dynamics, in one and two spatial dimensions, of two complex fields which are the two components of a vector field satisfyi ng a vector form of the complex Ginzburg-Landau equation. We find synchroni zation and generalized synchronization of the spatiotemporally chaotic dyna mics. The two kinds of synchronization can coexist simultaneously in differ ent regions of the space, and they are mediated by localized structures. A quantitative characterization of the degree of synchronization is given in terms of mutual information measures.