ADAPTIVE RECOGNITION AND CONTROL OF CHAOS

Authors
BOCCALETTI S ARECCHI FT
Citation
S. Boccaletti et Ft. Arecchi, ADAPTIVE RECOGNITION AND CONTROL OF CHAOS, Physica. D, 96(1-4), 1996, pp. 9-16
Citations number
30
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
96
Issue
1-4
Year of publication
1996
Pages
9 - 16
Database
ISI
SICI code
0167-2789(1996)96:1-4<9:ARACOC>2.0.ZU;2-Q
Abstract
Exploiting the information provided by the local variation rates of a dynamical system, we show how an adaptive algorithm is able to recogni ze and stabilize the unstable periodic orbits embedded in a chaotic at tractor, through additive corrections to the dynamics. The relative we ight of each correction is adjusted upon the size of the local expansi on rate. Application of this method to chaotic Lorenz and four dimensi onal Roessler systems is discussed.