Analyses and Reduction of an Infinite Dimensional Chaotic System

T. Hartley, H. Killory, J. Alex De Abreu-Garcia, and N. Abu-Khamseh

Proceedings of the 33rd Midwest Symposium on Circuits and Systems, 889 (1990)


Abstract:

A singularly perturbed nonlinear time delay system is considered. It is shown that as the system becomes more singular, the system evolves through a series of bifurications into chaotic behavior. Describing functions are used to predict when the initial bifurications occur. Based on the attractor dimension, reduced order finite dimensional models are obtained that qualitatively reproduce the system dynamics.

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