Experimental control of chaos in a delayed high-dimensional system

Citation
M. Ciofini et al., Experimental control of chaos in a delayed high-dimensional system, EUR PHY J D, 7(1), 1999, pp. 5-9
Citations number
49
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL D
ISSN journal
14346060 → ACNP
Volume
7
Issue
1
Year of publication
1999
Pages
5 - 9
Database
ISI
SICI code
1434-6060(199908)7:1<5:ECOCIA>2.0.ZU;2-U
Abstract
We introduce a novel control method for a delayed dynamical system exhibiti ng 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 de rivative correction. The validity of the method is also discussed in the fr amework of a space-like representation adopted to study the analogies betwe en delayed dynamical systems and spatially extended systems.