Low-dimensional approximation and control of periodic solutions in spatially extended systems

1998 ◽  
Vol 58 (1) ◽  
pp. 361-368 ◽  
Author(s):  
S. Y. Shvartsman ◽  
I. G. Kevrekidis
Keyword(s):  
Periodic Solutions ◽  
Extended Systems ◽  
Dimensional Approximation ◽  
Spatially Extended ◽  
Spatially Extended Systems ◽  
Low Dimensional ◽  
And Control

SYNCHRONIZATION AND CONTROL OF SPATIALLY EXTENDED SYSTEMS USING SENSOR COUPLING

1999 ◽  
Vol 09 (12) ◽  
pp. 2265-2270 ◽  
Author(s):  
LUTZ JUNGE ◽  
ULRICH PARLITZ ◽  
ZARKO TASEV ◽  
LJUPCO KOCAREV
Keyword(s):  
Coupling Scheme ◽  
Optimal Arrangement ◽  
Extended Systems ◽  
Spatially Extended ◽  
Spatially Extended Systems ◽  
And Control ◽  
Suppression Of Chaos ◽  
Periodic Arrangement

We investigate the problem of synchronizing and controlling spatially extended systems. For this purpose a coupling scheme is introduced, that allows to synchronize and control the dynamics with only a few driving signals which are spatial averages of local regions. We estimate the optimal arrangement of the coupling signals and compare them with their usual periodic arrangement. The application in controlling, e.g. suppression of chaos, is demonstrated.

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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