Synchronization and control of coupled Ginzburg-Landau equations using local coupling

Citation
L. Junge et U. Parlitz, Synchronization and control of coupled Ginzburg-Landau equations using local coupling, PHYS REV E, 61(4), 2000, pp. 3736-3742
Citations number
32
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
61
Issue
4
Year of publication
2000
Part
A
Pages
3736 - 3742
Database
ISI
SICI code
1063-651X(200004)61:4<3736:SACOCG>2.0.ZU;2-O
Abstract
In this paper we discuss the properties of a recently introduced coupling s cheme for spatially extended systems based on local spatially averaged coup ling signals [see Z. Tasev et al., Int. J. Bifurcation Chaos Appl. Sci. Eng . (to he published); and L. Junge er al., Int. J. Bifurcation Chaos Appl. S ci. Eng. 9, 2265 (1999)]. Using the Ginzburg-Landau model, we performed an extensive numerical examination of this coupling scheme, i.e., a complete s can through the relevant coupling parameters. Furthermore, we demonstrate s uppression and control of spatiotemporal chaos, e.g., stabilizing the homog eneous steady state and spatially localized control. As an application all model parameters of the Ginzburg-Landau equation rue estimated given only t he local information of the system.