DocumentCode :
973427
Title :
On taming chaos using LTI filters
Author :
Piccardi, Carlo
Volume :
43
Issue :
5
fYear :
1996
fDate :
5/1/1996 12:00:00 AM
Firstpage :
431
Abstract :
In a recent paper [l] the possibility of suppressing chaos using linear time-invariant (LTI) filters is considered with numerical experiments concerning a specific chaotic system (the logistic map) and low-order filters. In this letter, simple arguments based on the frequency response of linear systems and on the Liapunov exponents are used to point out that the experimental result of [l] (i.e., a low-order LTI filter cannot destroy nor delay chaos in the logistic map) has general validity, namely it can be extended to any continuous or discrete-time chaotic system and to LTI filters of any order.
Keywords :
Chaos; Delay; Filtering; Frequency response; Linear systems; Linearity; Logistics; Nonlinear filters; Nonlinear systems; Poles and zeros;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7122
Type :
jour
DOI :
10.1109/81.502218
Filename :
502218
Link To Document :
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