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 feedbackDOI: 10.1007/s100530050340ImpactFactor: 1.448Citations: 9data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-12-08References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here