ADAPTIVE STRATEGIES FOR RECOGNITION, CONTROL AND SYNCHRONIZATION OF CHAOS

Authors
BOCCALETTI S FARINI A ARECCHI FT
Citation
S. Boccaletti et al., ADAPTIVE STRATEGIES FOR RECOGNITION, CONTROL AND SYNCHRONIZATION OF CHAOS, Chaos, solitons and fractals, 8(9), 1997, pp. 1431-1448
Citations number
46
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,Physics,"Physycs, Mathematical
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
8
Issue
9
Year of publication
1997
Pages
1431 - 1448
Database
ISI
SICI code
0960-0779(1997)8:9<1431:ASFRCA>2.0.ZU;2-3
Abstract
We review a series of adaptive algorithms which recognize chaos, stabi lize the unstable periodic orbits embedded in a chaotic attractor and synchronize two identical chaotic systems starting from different init ial conditions, by exploiting the information of the local contraction or expansion rates of a chaotic system. This adaptive strategy is app lied to the chaotic Lorenz. the three-and four-dimensional Rossler and the delayed Mackey-Glass systems. (C) 1997 Elsevier Science Ltd.