In case you were wondering, my undergraduate physics thesis was in the area of quantum chaos, and my advisor was Michel Baranger. I explored the semiclassical connections between the quantum and classical regimes in chaotic systems. Specifically, the device that I used to examine the behavior of these systems is the energy vs. period plot (which is usually defined classically, but a quantal analogue to it exists). I derived a semiclassical approximation for it in terms of the classical periodic orbits and then verified my formula numerically. If you are really interested, my entire thesis is now on the web, equations and figures and all!

There are many links to chaos-related sites on the Web. For example, here is a collection of fractal images.