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Mathematics 320 Chaos and Fractals (3 credits)Prerequisite: One course beyond MATH 221 and one CMPS course or equivalent experience.Study of chaotic dynamical systems and fractal geometry. Topics from discrete dynamical
systems theory include iteration, orbits, graphical analysis, fixed and periodic points,
bifurcations, symbolic dynamics, Sarkovskii's theorem, the Schwarzian derivative, and
Newton's method. Topics from fractal geometry include fractal, Hausdorff, and topological
dimension, L-systems, Julia and Mandelbrot sets, iterated function systems, the collage
theorem, and strange attractors. Offered: Check current listing. |
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