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    University of Scranton
   
 
  Nov 23, 2017
 
 
    
Undergraduate Catalog 2010-2011 [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.