Try 2d autonomous systems man. A Van der Pol oscillator equation will provide you with intriguing images,
no matter what software package you may choose p_q
I have been assigned a project to create artwork using differential equations, the obvious idea would be to use Mathematica or Maple to obtain general solutions and replace values to obtain different level curves and then fill in the space between them.
However, I'm wanting to go a little deeper than that; so I was wondering if anyone out there has any other ideas for creating visual art using differential equations.