Spiral structures in the Julia sets
It is evident, that if φ = 2π m/n + δ ,
zk = f ok(z* +
ε ~ z* + ρ k
generates spiral structures in the neighbourhood of the fixed point
z* . Some of these spirals are shown below.
Next we can investigate stability of fixed points and period 2 orbit
of quadratic mappings analytically.
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updated 12 Sep 2013