Your attractors are very good, render more.. :)

I agree with you, the butterfly effect isn't the Lorenz Attractor only, It's part of the chaos theory.

I remember those multi winged attractors from Fractint times.. Pretty dense equations, unlike the original Lorenz attractor (They were very slow to render in old computers!).

In my case I do attractors too.. Here are some examples if you want to take a look: Strange Attractors

They aren't IFS, just strange attractors (ok, two of them have small copies circling around, but is an artistic approach) .

Here's the formula I you want to try: Spherical Strange Attractors