The Role of Diversity in Spatially Extended Systems

2003 ◽  
Author(s):  
R. Caponetto ◽  
L. Fortuna ◽  
M. Frasca
Keyword(s):  
Extended Systems ◽  
Spatially Extended ◽  
Spatially Extended Systems

ERROR GROWTH DYNAMICS IN SPATIALLY EXTENDED SYSTEMS

1996 ◽  
Vol 06 (12a) ◽  
pp. 2223-2235 ◽  
Author(s):  
S. VANNITSEM ◽  
C. NICOLIS
Keyword(s):  
Spatial Scales ◽  
Growth Dynamics ◽  
Time Behavior ◽  
Spatial Coupling ◽  
Extended Systems ◽  
Initial Errors ◽  
Spatially Extended ◽  
Spatially Extended Systems ◽  
Short Time

A class of spatially extended systems allowing for tuning the degree of attractor non-uniformity, the strength and the range of the spatial coupling is investigated with emphasis on the dynamics of the evolution of small initial errors. Depending on the values of these parameters and on the properties of the initial error field various patterns of growth are found ranging from subexponential to superexponential ones. The mechanisms of error transfer between different spatial scales is analyzed and the respective role of the Lyapunov vectors and singular vectors for short time behavior is clarified.

Observation of Chaotic Attractor in Spatially Extended Systems: Coarse-Grained Dimension of Frozen Chaos

1999 ◽  
Vol 38 (Part 1, No. 6A) ◽  
pp. 3784-3792
Author(s):  
Donghak Choi ◽  
Nobuko Fuchikami ◽  
Eriko Hirokami ◽  
Shunya Ishioka ◽  
Masayoshi Naito
Keyword(s):  
Chaotic Attractor ◽  
Coarse Grained ◽  
Extended Systems ◽  
Spatially Extended ◽  
Spatially Extended Systems
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