Controlling spatio-temporal chaos in the scenario of the one-dimensional complex Ginzburg-Landau equation

Year: 2006

Authors: Boccaletti S., Bragard J.

Autors Affiliation: Istituto Nazionale Ottica Applicata, I-50125 Florence, Italy; Univ Navarra, Dept Phys & Appl Math, Pamplona 31080, Spain

Abstract: We discuss some issues related with the process of controlling space-time chaotic states in the one-dimensional complex Ginzburg-Landau equation. We address the problem of gathering control over turbulent regimes with the use of only a limited number of controllers, each one of them implementing, in parallel, a local control technique for restoring an unstable plane-wave solution. We show that the system extension does not influence the density of controllers needed in order to achieve control.

Journal/Review: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Volume: 364 (1846)      Pages from: 2383  to: 2395

KeyWords: chaos control; complex Ginzburg-Landau equation; pinning control
DOI: 10.1098/rsta.2006.1830

Citations: 11
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