Here are some links to materials that were used in our special class on chaos.

We showed a Flash animation of the 3-body gravitational system. The animation is at:

http://www.upscale.utoronto.ca/PVB/Harrison/Flash/Chaos/ThreeBody/ThreeBody.html

We used the animation for one planet and for four planets, with all other parameters at their default values. You may, of course, experiment with other settings.

Although we used a physical double pendulum, here are links to a couple of Java applets of this system:

http://www.maths.tcd.ie/~plynch/SwingingSpring/doublependulum.html

http://vigo.ime.unicamp.br/2p/DoublePendulum.html

For the population dynamics that we discussed (also known as the "logistic map"), we showed a Java applet which exists in at least two places:

http://www.geom.uiuc.edu/~math5337/ds/applets/iteration/Iteration.html

http://www.enm.bris.ac.uk/staff/hinke/courses/Chaos/applets/iteration/Iteration.html

We used this Flash animation in our discussion of Lorenz' "strange attractor":

http://www.upscale.utoronto.ca/PVB/Harrison/Flash/Chaos/Lorenz/Lorenz.html

Finally, although we didn't have time to use it in class, here is a Flash animation of yet another chaotic system:

http://www.upscale.utoronto.ca/PVB/Harrison/Flash/Chaos/Bunimovich/Bunimovich.html