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

HERNÁNDEZ GARCÍA, EMILIO; MIGUEL LUIS HOYUELOS; PERE COLET,; RAÚL MONTAGNE,; SAN MIGUEL, MAXI

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

WORLD SCIENTIFIC PUBL CO PTE LTD

Año: 1999 vol. 9 p. 2257 - 2257

0218-1274

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