Section 5.5 Infinity as a super-attractive fixed point
Figure Figure 5.5.1 illustrates the exterior conjugacy for \(f(z) = z^2 - 1\text{.}\)
Douady's rabbit is the Julia set for the function \(f(z)=z^2+c\) where \(c \approx -0.122561 + 0.744862 i\) is chosen to have a super-attractive orbit of period 3. Figure Figure 5.5.2 (which was taken from WikiMedia Commons under the Creative Commons License shows Douady's rabbit, together with 3 external rays. It can be proven that these rays land at exactly the same point which, then, must be an articulation point.
