Rational maps: the structure of Julia sets from accessible Mandelbrot sets

For the family of complex rational maps F_λ(z)=z^n+λ/z^d, where λ is a complex parameter and n, d ≥ 2 are integers, many small copies of the well-known Mandelbrot set are visible in the parameter plane. An infinite number of these are located around the boundary of the connectedness locus and are a...

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Bibliographic Details
Main Author: Fitzgibbon, Elizabeth Laura
Language:en_US
Published: 2016
Subjects:
Online Access:https://hdl.handle.net/2144/15111