New criteria are found which imply the existence of chaos inR^n. 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 inR^n. 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.
Published in:
Circuits and Systems, IEEE Transactions on
(Volume:27
,
Issue:
11
)
Date of Publication:
Nov 1980
- Page(s):
-
990
-
997
- ISSN :
-
0098-4094
- Digital Object Identifier :
-
10.1109/TCS.1980.1084739
- Product Type:
-
Journals & Magazines
- Date of Current Version :
-
06 January 2003
- Issue Date :
-
Nov 1980