Figure 4.

(a) The invariant manifold that crosses z = 1 tangent to the unit disk, of the map z_n+1 = (1 − p)z_n + pz_n² (with z in the complex plane), for p = 0.9. It is parametrized by θ_∞,1(ω). In the same plot the curve parametrized by θ_15,1(ω) is shown; it cannot be resolved from the invariant manifold. (b) Absolute value of θ_15,1(ω) (solid line) and the predicted power law (broken line).