Fractals/Iterations in the complex plane/julia/interior

" Stable orbits of polynomials may :

  • converge to a (super)-attracting fixed point,
  • (coverge) to a parabolic fixed point (where the multiplier is a root of unity),
  • belong to a rotation domain (a simply connected domain on which the dynamics is conjugate to a rotation)." Lasse Rempe-Gillen [1]


  1. mathoverflow : attractive-basins-and-loops-in-julia-sets