Julia Sets of Perturbed Quadratic Maps Converging to the Filled Basilica
نویسنده
چکیده
In this paper we investigate singularly perturbed complex quadratic polynomial maps of the form Fλ(z) = z 2 − 1 + λ z2 . We prove that for parameter values λ ∈ R as λ → 0 the Julia set of Fλ(z) converges to the filled basilica when λ 6= 0.
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تاریخ انتشار 2010