This is an applet that allows 3D manipulation of the Chaotic System found by Lucas Finco:
x' = y+z
y' = A|x|-y
z' = 1-x
Initial Position = (-0.1422, -0.5594, -0.6496)
Make sure to click and drag in a circular pattern to move the image, vertically by phi and horizontally by theta. The parameter A is also adjustable. Enjoy!