DocumentCode
2818575
Title
Analysis and reduction of an infinite dimensional chaotic system
Author
Hartley, Tom T. ; Killory, Helen ; De Abreu-Garcia, J. Alex ; Abu-Khamseh, Naser
Author_Institution
Coll. of Eng., Akron Univ., OH, USA
fYear
1990
fDate
12-14 Aug 1990
Firstpage
889
Abstract
A singularly perturbed nonlinear time delay system is considered. It is shown that as the system becomes more singular, it evolves through a series of bifurcations into chaotic behavior. Describing functions are used to predict when the initial bifurcations occur. Based on the attractor dimension, reduced-order finite-dimensional models are obtained that qualitatively reproduce the system dynamics
Keywords
chaos; delays; describing functions; multidimensional systems; nonlinear systems; analysis; attractor dimension; bifurcations; chaotic behavior; describing functions; infinite dimensional chaotic system; initial bifurcations; model reduction; nonlinear dynamics; reduced-order finite-dimensional models; reduction; singularly perturbed nonlinear time delay system; Bifurcation; Chaos; Delay effects; Difference equations; Differential equations; NASA; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Reduced order systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1990., Proceedings of the 33rd Midwest Symposium on
Conference_Location
Calgary, Alta.
Print_ISBN
0-7803-0081-5
Type
conf
DOI
10.1109/MWSCAS.1990.140864
Filename
140864
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