Paul Blanchard, Daniel Cuzzocreo, Robert L. Devaney, Elizabeth Fitzgibbon
In this paper we prove the existence of infinitely many accessible Mandelbrot sets in the parameter plane for the family of maps zn + λ/zn when n > 1.
These are Mandelbrot sets for which the cusp of the main cardioid touches the outer boundary of the connectedness locus. We show that there is a unique such Mandelbrot set at the landing point of each external ray that is periodic under θ → nθ.
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