Controlling and synchronizing space time chaos

Year: 1999

Authors: Boccaletti S., Bragard J., Arecchi F.T.

Autors Affiliation: Department of Physics and Applied Mathematics, Universidad de Navarra, Irunlarrea s/n, Pamplona, Spain;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Department of Physics, University of Firenze, 50125 Firenze, Italy

Abstract: Control and synchronization of continuous space-extended systems is realized by means of a finite number of local tiny perturbations. The perturbations are selected by an adaptive technique, and they are able to restore each of the independent unstable patterns present within a space time chaotic regime, as well as to synchronize two space time chaotic states. The effectiveness of the method and the robustness against external noise is demonstrated for the amplitude and phase turbulent regimes of the one-dimensional complex: Ginzhurg-Landau equation. The problem of the minimum number of local perturbations necessary to achieve control is discussed as compared with the number of independent
spatial correlation lengths.

Journal/Review: PHYSICAL REVIEW E

Volume: 59 (6)      Pages from: 6574  to: 6578

KeyWords: GINZBURG-LANDAU EQUATION; SPATIOTEMPORAL CHAOS; PHASE SYNCHRONIZATION; PATTERN-FORMATION; COMMUNICATION
DOI: 10.1103/PhysRevE.59.6574

Citations: 53
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