Effect of colored noises on spatiotemporal chaos in the complex Ginzburg-Landau equation

2002 ◽  
Vol 65 (4) ◽  
Author(s):  
Hongli Wang ◽  
Qi Ouyang
Keyword(s):  
Landau Equation ◽  
Spatiotemporal Chaos ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

Spatiotemporal chaos in the one-dimensional complex Ginzburg-Landau equation

1992 ◽  
Vol 57 (3-4) ◽  
pp. 241-248 ◽  
Author(s):  
B.I. Shraiman ◽  
A. Pumir ◽  
W. van Saarloos ◽  
P.C. Hohenberg ◽  
H. Chaté ◽  
...  
Keyword(s):  
Landau Equation ◽  
Spatiotemporal Chaos ◽  
Ginzburg Landau ◽  
One Dimensional ◽  
Ginzburg Landau Equation ◽  
The One

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

1999 ◽  
Vol 09 (12) ◽  
pp. 2257-2264 ◽  
Author(s):  
EMILIO HERNÁNDEZ-GARCÍA ◽  
MIGUEL HOYUELOS ◽  
PERE COLET ◽  
MAXI SAN MIGUEL ◽  
RAÚL MONTAGNE
Keyword(s):  
Chaotic Dynamics ◽  
Landau Equation ◽  
Spatiotemporal Chaos ◽  
Quantitative Characterization ◽  
Ginzburg Landau ◽  
Information Measures ◽  
Localized Structures ◽  
Ginzburg Landau Equation ◽  
Spatial Dimensions

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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