MAT 351: Differential Equations: Chaos and Dynamical Systems
- General Information:
This course is an introduction to dynamical systems, sometimes (rather
erroneously) called ``chaos theory''. A dynamical system is a set of
states, together with a rule that determines the present state in terms of
the past state. Dynamical systems, while completely deterministic, can
often exhibit very complicated, ``unpredicatable'' behavior. Dynamics
originated with Poincaré around 1900, and has become very important to
many areas of physical and biological science in order to explain and
understand nonlinear phenomena.
Chaos: An Introduction to Dynamical Systems, by Alligood, Sauer, and
Yorke. Springer-Verlag, 1997.
I will try to cover as much material of the text as we can, certainly
The most up-to-date version of any class handouts, and other useful
materials will be posted on the class web page, at
Your grade will be based on the midterm (30%), final (30%), and homeworks
(40%). Homeworks will be due biweekly, and some choice of problems will be
allowed. The homework list should appear on the web page around the time it
- Special Needs:
If you have any condition such as a physical or mental disability which will
make it difficult for you to carry out the work as I have outlined it,
please notify me in the first two weeks of the course so that appropriate
arrangements can be made.
- Office Hours:
Mondays and Wednesdays 12:45-1:45, and by appointment. My office is in the
Institute for Mathematical Sciences, room 5D-148 in the math tower.
Phone: 632-7306. I can readily be reached by email at
Sun Jan 19 01:14:59 EST 1997