I've been playing with chaotic attractors of dynamical systems in
Croquet, computed on the GPU. The code is based on David Faught's
procedural textures code. Here's a movie of a simple system:
http://au.youtube.com/watch?v=10h2XhP0u0g
The cube is a parameter space for a parameter of the system.
The same code could also be used for other things like physics
simulations, but it's not quite ready for public release just yet.