Experimental Mathematics

Remarks on iterated cubic maps

John Milnor

Abstract

This article discusses the dynamics of iterated cubic maps from the real or complex line to itself and will describe the geography of the parameter space for such maps. It is a rough survey with few precise statements or proofs and depends strongly on work by Douady, Hubbard, Branner and Rees.

Article information

Source
Experiment. Math., Volume 1, Issue 1 (1992), 5-24.

Dates
First available in Project Euclid: 26 March 2003

Permanent link to this document
https://projecteuclid.org/euclid.em/1048709112

Mathematical Reviews number (MathSciNet)
MR94c:58096

Zentralblatt MATH identifier
0762.58018

Subjects
Primary: 58F08
Secondary: 30D05: Functional equations in the complex domain, iteration and composition of analytic functions [See also 34Mxx, 37Fxx, 39-XX] 58F23

Citation

Milnor, John. Remarks on iterated cubic maps. Experiment. Math. 1 (1992), no. 1, 5--24. https://projecteuclid.org/euclid.em/1048709112


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