The attractor structure of logarithmic iterations in the complex plane

2010/12/29 by Pascal Wallisch, Wallisch, Pascal
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #Iterative Methods for Nonlinear Equations #math.GM

paper · pdf · doi:10.48550/arxiv.1012.6024

9 pages, 11 figures, 4 tables

arxiv created 2010/12/29 · openalex publication_date 2010/12/29 · arxiv updated 2010/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use the methods of empirical mathematics to show that iterative logarithmic operations will result in an attractor point on the complex plane. Moreover, we demonstrate that different bases converge onto different attractors. Finally, we elicit the geometric structure of these attractors.

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