DocumentCode
830356
Title
Chaos in a four-variable piecewise-linear system of differential equations
Author
Hudson, J.L. ; Rössler, O.E. ; Killory, Helen C.
Author_Institution
Dept. of Chem. Eng., Virginia Univ., Charlottesville, VA, USA
Volume
35
Issue
7
fYear
1988
fDate
7/1/1988 12:00:00 AM
Firstpage
902
Lastpage
908
Abstract
A set of four piecewise-linear ordinary differential equations in four variables is examined. The system has a single positive Lyapunov characteristic exponent. Over a parameter range, however, the Kaplan-Yorke dimension is greater than three, and the Poincare section appears to have two continuous directions. An example is discussed in which the equations describe a chemical system whose solutions have the same characteristics as the piecewise-linear set as a limiting case
Keywords
chaos; multivariable systems; nonlinear systems; piecewise-linear techniques; stability; Kaplan-Yorke dimension; Poincare section; chaos; chemical system; differential equations; four-variable piecewise-linear system; limiting case; parameter range; single positive Lyapunov characteristic exponent; Chaos; Chemicals; Differential equations; Piecewise linear techniques;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.1835
Filename
1835
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