Adaptive recognition and control of chaos

Year: 1996

Authors: Boccaletti S., Arecchi F.T.

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

Abstract: Exploiting the information provided by the local variation rates of a dynamical system, we show how an adaptive algorithm is able to recognize and stabilize the unstable periodic orbits embedded in a chaotic attractor, through additive corrections to the dynamics. The relative weight of each correction is adjusted upon the size of the local expansion rate. Application of this method to chaotic Lorenz and four dimensional Roessler systems is discussed.

Journal/Review: PHYSICA D-NONLINEAR PHENOMENA

Volume: 96 (1/4)      Pages from: 9  to: 16

KeyWords: STRANGE ATTRACTORS; PARAMETRIC PERTURBATIONS; DYNAMICS; SUPPRESSION; ORBITS
DOI: 10.1016/0167-2789(96)00010-3

Citations: 21
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