Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8254986 | Chaos, Solitons & Fractals | 2015 | 9 Pages |
Abstract
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 dendrites.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
C. Matteau, D. Rochon,