CONTROL OF CHAOS IN UNIDIMENSIONAL MAPS

Citation
J. Guemez et Ma. Matias, CONTROL OF CHAOS IN UNIDIMENSIONAL MAPS, Physics letters. A, 181(1), 1993, pp. 29-32
Citations number
21
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
181
Issue
1
Year of publication
1993
Pages
29 - 32
Database
ISI
SICI code
0375-9601(1993)181:1<29:COCIUM>2.0.ZU;2-5
Abstract
For the case of one-dimensional iterated maps we present a new method for controlling deterministic chaos by the stabilization of one of the underlying unstable periodic orbits. The method works by applying a s eries of regular proportional feedbacks in the variable and does not r equire that the particular dynamical law is known. The method is illus trated with an application to the logistic and exponential maps.