E. Hernandez-garcia et al., Spatiotemporal chaos, localized structures and synchronization in the vector complex Ginzburg-Landau equation, INT J B CH, 9(12), 1999, pp. 2257-2264
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.