DocumentCode :
1182929
Title :
Chaotic motion in nonlinear feedback systems
Author :
Baillieul, J. ; Brockett, Roger W. ; Washburn, Robert B.
Volume :
27
Issue :
11
fYear :
1980
fDate :
11/1/1980 12:00:00 AM
Firstpage :
990
Lastpage :
997
Abstract :
New criteria are found which imply the existence of chaos in 
. These differ significantly from criteria previously reported in the mathematics literature, and in fact our methods apply to a class of systems which do not satisfy the hypotheses of the usual theorems on chaos in . The results are stated in such a way as to preserve the flavor of many well-known frequency-domain stability techniques. The results provide easily verifiable criteria for the existence of chaos in systems which are of dimension greater than one.
. These differ significantly from criteria previously reported in the mathematics literature, and in fact our methods apply to a class of systems which do not satisfy the hypotheses of the usual theorems on chaos in . The results are stated in such a way as to preserve the flavor of many well-known frequency-domain stability techniques. The results provide easily verifiable criteria for the existence of chaos in systems which are of dimension greater than one.Keywords :
Feedback systems; General nonlinear theory; Nonlinear systems; Stability; Chaos; Difference equations; Displays; Filters; Mathematics; Pulse modulation; Space vector pulse width modulation; State feedback; System testing; Voltage control;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1980.1084739
Filename :
1084739
Link To Document :
