Experimental control of chaos in a delayed high-dimensional system

Year: 1999

Authors: Ciofini M., Labate A., Meucci R., Arecchi F.T.

Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy; Department of Physics, University of Florence, 50125 Firenze, Italy

Abstract: We introduce a novel control method for a delayed dynamical system exhibiting high-dimensional chaos. The control is based on a negative feedback loop with an adaptive filtering, consisting of a selective filter, centered at the frequency of the orbit to be stabilized, with the addition of a time derivative correction. The validity of the method is also discussed in the framework of a space-like representation adopted to study the analogies between delayed dynamical systems and spatially extended systems.

Journal/Review: EUROPEAN PHYSICAL JOURNAL D

Volume: 7 (1)      Pages from: 5  to: 9

KeyWords: Unstable periodic-orbits; Pattern-formation: Optical turbulence; Dynamical-systems; Negative feedback
DOI: 10.1007/s100530050340

Citations: 9
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