Thank you everyone for the suggestions. I decided to use the warp method.
Here are some animations:
http://bugman123.com/Fractals/Sun.gif
http://bugman123.com/Fractals/Sun.m1v

camera{orthographic location <0,0,-2> look_at <0,0,0>}
sphere {0,1
 pigment{bumps
  color_map{[0 rgb 0][1/3 rgb 0.5*x][2/3 rgb <1,0.5,0>][1 rgb 1]}
  scale 0.5 warp{repeat z/2 flip z} turbulence 5 translate <0,0,-clock>
 }
 finish{ambient 1.5}
}

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