Do you need tips on how to make animation, or how to make the fractal pattern?
To make animation I've rendered separate animation frames (around 30 AFAIR) and then combined them using Photoshop. Shouldn't be too hard if you're familiar with animations in PS.
The pattern is a bit more complex: bubble>julian>hypertile2>bipolar>linear>foci. After you make the pattern you may simply rotate the julian to make the animation frames.
You may ask people in Aposhack chatroom
for more detailed instructions.