Spatiotemporal Chaos, Localized Structures and Synchronization in the Vector Complex Ginzburg-Landau Equation

Details Spatiotemporal Chaos, Localized Structures and Synchronization in the Vector Complex Ginzburg-Landau Equation Spatiotemporal Chaos, Localized Structures and Synchronization in the Vector Complex Ginzburg-Landau Equation

1999-02-24

arxiv.org/abs/chao-dyn/9902018v1

International Journal of Bifurcation and Chaos 9, 2257-2264 (1999).

Nonlinear Sciences

Chaotic Dynamics

6 pages, using bifchaos.sty (included). 7 figures. Related material, including higher quality figures, could be found at htt

Scientific paper

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 of mutual information measures.

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