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Intersections between boundaries of bounded hyperbolic components of cubic polynomials
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Journal Article
Intersections between boundaries of bounded hyperbolic components of cubic polynomials
2023
Overview
We are concerned with the intersections between the boundaries of bounded hyperbolic components in the space of cubic polynomials. We show that if the intersection map has an attracting periodic orbit, then it is either a parabolic map or a Misiurewicz map. This result is based on a complete classification of all these intersection maps in one-dimensional slices
S
p
introduced by J. Milnor, which consists of cubic polynomials with a periodic
p
critical point.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V
Subject
