Open Access<title>Desktop chaotic systems: intuition and visualization</title>
Author(s) -
Michelle M. Bright,
Kevin J. Melcher,
Helen Qammar,
Tom T. Hartley
Publication year - 1994
Publication title -
proceedings of spie, the international society for optical engineering/proceedings of spie
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.192
H-Index - 176
eISSN - 1996-756X
pISSN - 0277-786X
DOI - 10.1117/12.167527
Subject(s) - attractor , chaotic , correlation dimension , pendulum , double pendulum , nonlinear system , computer science , visualization , inverted pendulum , control theory (sociology) , fractal dimension , phase plane , statistical physics , fractal , physics , mathematics , artificial intelligence , mathematical analysis , control (management) , quantum mechanics
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.
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