The external boundary of the bifurcation locus $M_2$

Mathematics – Dynamical Systems

Scientific paper

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Scientific paper

Consider a quadratic rational self-map of the Riemann sphere such that one
critical point is periodic of period 2, and the other critical point lies on
the boundary of its immediate basin of attraction. We will give explicit
topological models for all such maps. We also discuss the corresponding
parameter picture.

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