2010/06/03 by Alastair Fletcher, Dan Goodman, Fletcher, Alastair +1
Mathematics · #30C65 (Primary) #30D05 #37F10 #37F45 (Secondary) #Analytic and geometric function theory #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #math.CV #math.DS #msc:30C65 #msc:30D05 #msc:37F10 #msc:37F45
paper · pdf · doi:10.48550/arxiv.1006.0622
17 pages, 7 figures
arxiv created 2010/06/03 · openalex publication_date 2010/06/03 · arxiv updated 2010/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Complex dynamics deals with the iteration of holomorphic functions. As is well- known, the first functions to be studied which gave non-trivial dynamics were quadratic polynomials, which produced beautiful computer generated pictures of Julia sets and the Mandelbrot set. In the same spirit, this article aims to study the dynamics of the simplest non-trivial quasiregular mappings. These are mappings in R2 which are a composition of a quadratic polynomial and an affine stretch.