One of the first programs I ever wrote, when I was still in High School, was a simple simulation of planetary motion using BASIC. For this, I used a naive approximation of Newton's laws. I was disappointed to discover that because of approximation error, my planets all fell into the sun! But the program did put the death-spirals on the screen in black and whie!
My impression is that while mathematical formulas generally aren't that hard to interpolate into any programming language, the art of such interpolation is making sure that arithmetic error and such don't pile up to spoil things.
Given this, Chaos Theory graphics would be great fodder for seeming like you've done something amazing since you don't have to simulate anything correctly, you only have to create a swirl which looks intriguing. Oddly enough, planets orbiting a sun are better since you've got to create a useful simulation with the properties of the original system.