MAT 335 Handouts
Unless otherwise noted, all diagrams are from our text book, Chaos and Fractals - New Frontiers
of Science, by H.-O. Peitgen, H. Jurgens, and D. Saupe, Springer-Verlag 1992.
The Chaos Game: page 1,
page 2.
The Chaos Game with Non-Random Sequences: page 1,
page 2
Graphical Analysis: page 1, page2,
page3, page 4, page 5,
page 6
Random Sequences: page 1, page 2,
page 3, page 4
Experiments with the Logistic Function: page 1,
page 2, page 3,
page 4, page 5,
page 6, page 7,
page 8,
page 9, page 10
Notes on the Logistic Function - Self-Similarity and Universality:
page 1, page 2, page 3,
page 4, page 4, page 5
Two-Dimensional Dynamics and the Henon Map: page 1,
page 2, page 3
Experiments with the Henon Map: page 1,
page 2, page 3,
page 4
Complex Numbers: page 1
Notes on Julia Sets and the Mandelbrot set:
page 1, page 2, page 3,
page 4.
Diagrams of Julia and Mandelbrot Sets: page 1,
page 2, page 3,
page 4, page 5,
page 6, page 7,
page 8