This poster will provide an introduction to the mathematical field of chaos theory. We describe how chaos is exhibited through discrete dynamical systems, with examples provided by the logistic map and the Mandelbrot and Julia sets. We describe a real-life chaotic model with the Magnetic Pendulum, providing a description of how to build one as well as a map of its potential basins of attraction. Lastly, we present a brief overview of personal research with a model of a leaf falling in a vacuum and the chaotic behavior exhibited by a decoding algorithm.
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