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    University of Scranton
  Jan 18, 2018
Undergraduate Catalog 2013-2014 [ARCHIVED CATALOG]

MATH 320 - Chaos and Fractals

3 cr.

(Prerequisite:  One math 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.