Adaptive strategies for recognition, control and synchronization of chaos

Year: 1997

Authors: Boccaletti S., Farini A., 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: We review a series of adaptive algorithms which recognize chaos, stabilize the unstable periodic orbits embedded in a chaotic attractor and synchronize two identical chaotic systems starting from different initial conditions, by exploiting the information of the local contraction or expansion rates of a chaotic system. This adaptive strategy is applied to the chaotic Lorenz. the three-and four-dimensional Rossler and the delayed Mackey-Glass systems. (C) 1997 Elsevier Science Ltd.

Journal/Review: CHAOS SOLITONS & FRACTALS

Volume: 8 (9)      Pages from: 1431  to: 1448

KeyWords: Adaptive algorithms; Control theory; Synchronization, Chaos control; Chaos recognition; Chaos synchronization; Chaotic Lorentz system; Mackey Glass systems; Rossler systems, Chaos theory
DOI: 10.1016/S0960-0779(96)00169-5

Citations: 21
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