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Proceedings Paper

Desktop chaotic systems: intuition and visualization
Author(s): Michelle M. Bright; Kevin J. Melcher; Helen K. Qammar; Tom T. Hartley
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Paper Abstract

This paper presents a dynamic study of the Wildwood Pendulum, a commercially available desktop system which exhibits a strange attractor. The purpose of studying this chaotic pendulum is two-fold: to gain insight in the paradigmatic approach of modeling, simulating, and determining chaos in nonlinear systems, and to provide a desktop model of chaos as a visual tool. For this study the nonlinear behavior of this chaotic pendulum is modeled, a computer simulation is performed, and an experimental performance is measured. An assessment of the pendulum in the phase plane shows the strange attractor. Through the use of a box-assisted correlation dimension methodology, the attractor dimension is determined for both the model and the experimental pendulum systems. Correlation dimension results indicate that the pendulum and the model are chaotic and their fractal dimensions are similar.

Paper Details

Date Published: 1 March 1994
PDF: 12 pages
Proc. SPIE 2037, Chaos/Nonlinear Dynamics: Methods and Commercialization, (1 March 1994); doi: 10.1117/12.167527
Show Author Affiliations
Michelle M. Bright, NASA Lewis Research Ctr. (United States)
Kevin J. Melcher, NASA Lewis Research Ctr. (United States)
Helen K. Qammar, Univ. of Akron (United States)
Tom T. Hartley, Univ. of Akron (United States)

Published in SPIE Proceedings Vol. 2037:
Chaos/Nonlinear Dynamics: Methods and Commercialization
Helena S. Wisniewski, Editor(s)

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