| Professor: | Dr. Douglas Anderson |
| Ivers 234G | |
| 299-4453 | |
| andersod |
Texts: A First Course in Discrete Dynamical Systems, Second Edition, by Richard A. Holmgren (Springer, 1996); Does God Play Dice? The Mathematics of Chaos, Second Edition, by Ian Stewart (Blackwell, 2002). A reference text is Discrete Dynamical Systems and Difference Equations with Mathematica, by Mustafa R.S. Kulenovic and Orlando Merino (Chapman & Hall/CRC, 2002).
Dynamica: To download into Mathematica the extra package Dynamica, go to the download Dynamica website at the University of Rhode Island. Save it in Program Files > Wolfram > Mathematica > 5.0 > AddOns > ExtraPackages. Once it is in ExtraPackages, unzip it and put the file Dynamica.m directly in the ExtraPackages folder, outside of the Dynamica subfolder.
| Date | Notebook | Exercises |
| May 24 | Iterated Maps | (7) 1.1, 1.3, 1.5, 1.6 |
| 25 | Logistic Equation | (17) 2.1, 2.3, 2.4, 2.5, 2.8, 2.9, 2.11, 2.15, 2.16, 2.17, 2.18, 2.19, 2.20 |
| 31 | Staircase Diagram | (28) 3.1, 3.4, 3.6, 3.11, 3.13, 3.14, 3.15 |
| June 1 | Tent Map | (38) 4.1, 4.2, 4.3, 4.5, 4.7, 4.9, 4.10 |
| 2 | Period 3 | (45) 5.2, 5.3, 5.5 |
| 3 | Nonhyperbolic Case | (54) 6.1, 6.2, 6.4, 6.7 |
| 4 | Bifurcations | (67) 7.1, 7.2 |
| 7 | Bifurcation Diagrams | (84) 8.2, 8.3, 8.5 |
| 8 | Cantor Sets | (92) 9.3, 9.5 |
| 21 | Chapter 10 | (107) 10.6, 10.9 |
| 22 | Symbolic Dynamics | (123) 11.6, 11.9, 11.15 |
| 23 | Newton's Method | Read Section 12.2 |
| 24 | Newton's Method | (148) 12.5, 12.6 |
| 25 | Newton's Method | (149) 12.8, 12.9, 12.11, 12.12, 12.13 |
| 28 | 2D Phase Portrait | Handout 1-7 |
| 29 | 2D Predator-Prey Model | |
| 30 | Manifolds | |
| July 1 | Henon's Map | |
| 2 | Cournot Duopoly | |
| 6 | Duopoly Dynamics | |
| 7 | Newton code | |
| 8 | Basins of Attraction | |
| 9 | Basin Points | |
| 12 | Rectangles | |
| 15 | Circles! | |
| 21 | Basins for any A,B | |
| Oct 28 | Power Point | |
| 28b | Animation Period Double: y=x | |
| 28c | Phase Portrait | |
| 28d | Basin Pictures |