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
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;
Conference_Titel :
Circuits and Systems, 1990., Proceedings of the 33rd Midwest Symposium on
Conference_Location :
Calgary, Alta.
Print_ISBN :
0-7803-0081-5
DOI :
10.1109/MWSCAS.1990.140864
