Bishop's qc-folding and wandering domains in Eremenko ... - ICMS

Wandering domain example III
Let g(z) = z + λ 0 sin(z) with λ 0 ≈ 6.36227.
The (infinitely many) critical points: x = cos −1 (−1/λ 0 ).
λ 0 is such that g(x) = x + 2πi for all c.p. x.
Only two critical orbits, both belonging to the Fatou set.
The lines {x = kπ} ⊂ J (g) for all k ∈ Z.
x 6.36227 sinx
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Wandering domains and Bishop’s folding