MA 771
Introduction to
Dynamical Systems
Spring 2000

Clark Robinson
1. Official home page
2. Web page for our textbook
In-class Exercises
1. Introductory Section
2. Circle Homeomorphisms
3. Local Hyperbolicity. There is also a related handout on equivalent norms.
4. Examples of Axiom A Diffeomorphisms
Mathematica Notebook for Circle Homeomorphisms: Here is my Mathematica notebook (Mathematica version 3) if you want to play around with rotations and continued fractions.
Mathematica Notebook for Counting Periodic Points: Here is my Mathematica notebook (Mathematica version 3) if you want to play around with two different ways of computing the number of periodic points of a given (prime) period in the full 2-shift.
Eric Weisstein's World of Mathematics (MathWorld): While writing the notebook for circle homeomorphisms, I ran across Eric Weisstein's World of Mathematics (MathWorld) on the Wolfram web site. It is an impressive collection of mathematical definitions, examples, theorems, and miscellaneous tidbits. The following pages are especially relevant to our course:
- Continued fractions
- Circle maps
  - Devil's Staircase - a Cantor function that comes from graphing the rotation number for a certain family of circle maps. For some reason, the rotation number is referred to as a winding number.
  - The Cantor function mentioned above is related to Arnold tongues.
- Anosov Maps
- Stable Manifolds
  - Description of an immersion
SUNY at Stony Brook Dynamical Systems Homepage
Ghostscript/Ghostview: You may find it useful to install Ghostscript/Ghostview on your home computer so that you can view and print postscript documents.

MA 771 Introduction to Dynamical Systems Spring 2000

MA 771
Introduction to
Dynamical Systems
Spring 2000