2009 Advanced Laboratories Conference Abstract Detail Page
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||Chaos Experiments for the Advanced Lab
||With frequent references in music, movies and TV, chaos theory is officially cool! The subject is also relatively new with many of the important developments occurring over the past few decades, and it is multidisciplinary with applications in the physical, biological and social sciences. Exotic terms such as "strange attractor" and "butterfly effect" as well as the visually stunning fractal structures describing chaotic dynamics further enhance the topic's allure.
Many mechanical, electronic and fluid systems have been used for advanced lab experiments on the subject, but few have demonstrated the ability to produce data suitable for creating fractals or for calculating quantitative measures of the resulting dynamics. I have used a water drop apparatus, a driven pendulum, and an electronic Duffing oscillator in an advanced lab setting. With LabVIEW software and simple data acquisition hardware, all three are easy and inexpensive to build. I will show how they produce data that can be displayed as multiple Poincaré sections or as multidimensional return maps, and I will describe the algorithms and results for calculations of the embedding dimension, fractal dimension, Lyapunov exponents, and system parameters. Student performance on one of the experiments will also be discussed.
Download the Invited Presentation
||Session VIII - Plenary
Department of Physics, University of Florida