Desktop chaotic systems: intuition and visualization

Michelle M. Bright; Kevin J. Melcher; Helen K. Qammar; Tom T. Hartley

doi:10.1117/12.167527

1 March 1994 Desktop chaotic systems: intuition and visualization

Michelle M. Bright, Kevin J. Melcher, Helen K. Qammar, Tom T. Hartley

Proceedings Volume 2037, Chaos/Nonlinear Dynamics: Methods and Commercialization; (1994) https://doi.org/10.1117/12.167527
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

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.

Citation Download Citation

Michelle M. Bright, Kevin J. Melcher, Helen K. Qammar, and Tom T. Hartley "Desktop chaotic systems: intuition and visualization", Proc. SPIE 2037, Chaos/Nonlinear Dynamics: Methods and Commercialization, (1 March 1994); https://doi.org/10.1117/12.167527

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