Self-induced path formation among local attractors and spatiotemporal chaos in a complex Ginzburg-Landau equation

1991 ◽  
Vol 44 (2) ◽  
pp. 1393-1396 ◽  
Author(s):  
Kenju Otsuka
1992 ◽  
Vol 57 (3-4) ◽  
pp. 241-248 ◽  
Author(s):  
B.I. Shraiman ◽  
A. Pumir ◽  
W. van Saarloos ◽  
P.C. Hohenberg ◽  
H. Chaté ◽  
...  

1999 ◽  
Vol 09 (12) ◽  
pp. 2257-2264 ◽  
Author(s):  
EMILIO HERNÁNDEZ-GARCÍA ◽  
MIGUEL HOYUELOS ◽  
PERE COLET ◽  
MAXI SAN MIGUEL ◽  
RAÚL MONTAGNE

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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