Chaotic dynamics occur in deterministic systems which display extreme sensitivity on initial conditions. These systems often have attractors which are geometric figures exhibiting affine self-similarity that have non-integer dimension, otherwise knows as fractals. We investigated the link between chaos and the eventual fate of a ball on a frictionless elliptical billiards table with one pocket. The result is a fractal generated by these dynamics.
Yi Li, Applied Mathematical and Computational Sciences, University of IowaYiemail@example.com
Peterson, Aaron; Rozner, Sarah; and Sutter, Emily
"Chaotic Dynamics, Fractals, and Billiards,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 9
, Article 6.
Available at: http://scholar.rose-hulman.edu/rhumj/vol9/iss1/6