2013/11/25 by Claudia Matteau, C. Matteau, Matteau, C. +3
Mathematics · Physics and Astronomy · #30G35 #37F45 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS #msc:30G35 #msc:37F45
paper · pdf · doi:10.48550/arxiv.1311.6462
16 pages, 4 figures
openalex publication_date 2013/11/25 · arxiv created 2015/03/12 · arxiv updated 2015/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we introduce the adapted inverse iteration method to generate bicomplex Julia sets associated to the polynomial map w2+c. The result is based on a full characterization of bicomplex Julia sets as the boundary of a particular bicomplex cartesian set and the study of the fixed points of w2+c. The inverse iteration method is used in particular to generate and display in the usual 3-dimensional space bicomplex Julia sets that are dendrites.