The attractor structure of logarithmic iterations in the complex plane

Details The attractor structure of logarithmic iterations in the complex plane The attractor structure of logarithmic iterations in the complex plane

2010-12-29

arxiv.org/abs/1012.6024v1

Mathematics

General Mathematics

9 pages, 11 figures, 4 tables

Scientific paper

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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