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



=Local discrete complex dynamics =
 * attracting : hyperbolic dynamics
 * superattracting : the very fast ( = exponential) convergence to periodic cycle ( fixed point )
 * parabolic component = slow ( lazy ) dynamics = slow ( exponential slowdown) convergence to parabolic fixed point ( periodic cycle)
 * Siegel disc component = rotation around fixed point and never reach the fixed point

When Julia set is disconnected ther is no interior of Julia set ( critical fixed point is repelling ( or attracting to infinity)

=References=