Title :
Fractally deformed basin boundaries of pendulum systems: New approaches in the study of swing dynamics
Author :
Varghese, M. ; Thorp, J.S. ; Hsiao-Dong Chiang
Author_Institution :
Cornell University, Ithaca, NY
Abstract :
In this paper we analyze the effects of time-varying forcing functions on the stability boundaries of dissipative pendulum systems. In particular, we model the forcing as "exponentially decaying sinusoids" and show conditions when the stability domains start to break up. Concepts in fractal geometry are needed to better understand these special deformations.
Keywords :
Chaos; Control systems; Differential equations; Fractals; Geometry; Joining processes; Predictive models; Stability analysis; Time varying systems; Trajectory;
Conference_Titel :
Decision and Control, 1987. 26th IEEE Conference on
Conference_Location :
Los Angeles, California, USA
DOI :
10.1109/CDC.1987.272520
