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

Abstract

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.

6 pages, using bifchaos.sty (included). 7 figures. Related material, including higher quality figures, could be found at http://www.imedea.uib.es/PhysDept/publicationsDB/date.html . To appear in International Journal of Bifurcation and Chaos (1999)

References in corpus (3)

• Phase Diagram of the Two-Dimensional Complex Ginzburg-Landau Equation
• The Building Blocks of Spatiotemporal Intermittency
• Synchronization of Spatiotemporal Chaos: The regime of coupled Spatiotemporal Intermittency

Cited by in corpus (6)

• The World of the Complex Ginzburg-Landau Equation
• Dynamics of localized structures in vector waves
• Polarisation Patterns and Vectorial Defects in Type II Optical Parametric Oscillators
• Dynamics of Defects in the Vector Complex Ginzburg-Landau Equation
• Localized structures in coupled Ginzburg-Landau equations
• Coupled complex Ginzburg-Landau systems with saturable nonlinearity and asymmetric cross-phase modulation