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Title

Control of turbulence in oscillatory reaction-diffusion systems through a combination of global and local feedback

AuthorsStich, Michael CSIC; Casal, Alfonso C.; Díaz, Jesús Ildefonso
KeywordsGinzburg-Landau theory
Nonlinear dynamical systems
Numerical analysis
Reaction-diffusion systems
Spatiotemporal phenomena
Turbulence
[PACS] Oscillations, chaos, and bifurcations in chemical reactions
[PACS] Control of chaos, applications of chaos
Issue Date19-Sep-2007
PublisherAmerican Physical Society
CitationPhysical Review E 76(3): 036209 (2007)
AbstractGlobal time-delay autosynchronization is known to control spatiotemporal turbulence in oscillatory reaction-diffusion systems. Here, we investigate the complex Ginzburg-Landau equation in the regime of spatiotemporal turbulence and study numerically how local or a combination of global and local time-delay autosynchronization can be used to suppress turbulence by inducing uniform oscillations. Numerical simulations show that while a purely local control is unsuitable to produce uniform oscillations, a mixed local and global control can be efficient and also able to create other patterns such as standing waves, amplitude death, or traveling waves.
Description9 pages, 6 figures.-- PACS nrs.: 82.40.Bj; 05.45.Gg.-- ISI Article Identifier: 000249785900033.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.76.036209
URIhttp://hdl.handle.net/10261/13313
DOI10.1103/PhysRevE.76.036209
ISSN1539-3755
Appears in Collections:(CAB) Artículos




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