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We study the spatiotemporal dynamics, in one and two spatial dimensions, oftwo complex fields which are the two components of a vector field satisfying avector form of the complex Ginzburg-Landau equation. We find synchronizationand generalized synchronization of the spatiotemporally chaotic dynamics. Thetwo kinds of synchronization can coexist simultaneously in different regions ofthe space, and they are mediated by localized structures. A quantitativecharacterization of the degree of synchronization is given in terms of mutualinformation measures.

SPATIOTEMPORAL CHAOS, LOCALIZED STRUCTURES AND SYNCHRONIZATION IN THE VECTOR COMPLEX GINZBURG–LANDAU EQUATION