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arXiv · 1311.6462

The Inverse Iteration Method for Julia Sets in the 3-Dimensional Space

C. Matteau·D. Rochon
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Abstract

In this article, we introduce the adapted inverse iteration method to generate bicomplex Julia sets associated to the polynomial map $w^2+c$. 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 $w^2+c$. The inverse iteration method is used in particular to generate and display in the usual 3-dimensional space bicomplex Julia sets that are dendrites.

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C. Matteau, D. Rochon. 2015-03-12. The Inverse Iteration Method for Julia Sets in the 3-Dimensional Space. https://arxiv.org/abs/1311.6462

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