Title :
On conditions leading to chaos in feedback systems
Author_Institution :
Harvard University, Cambridge, MA
Abstract :
The purpose of this paper is to describe a simple mechanism which yields (numerically) chaos in non-linear feedback systems. We also give an effective, but partially heuristic, analysis based on singular perturbation methods coupled with a study of a first return map. An interesting feature of the class of systems studied here is that the first return map cannot be defined as a continuous map of a connected set into itself. In this respect the situation appears to be closely related to the flows postulated in [5] and [6].
Keywords :
Chaos; Feedback;
Conference_Titel :
Decision and Control, 1982 21st IEEE Conference on
Conference_Location :
Orlando, FL, USA
DOI :
10.1109/CDC.1982.268281