The graph of fractal dimensions of Julia sets
International Journal of Pure and Applied Mathematics, vol.70, no.3, pp.401-409, 2011 (Scopus)
- Publication Type: Article / Article
- Volume: 70 Issue: 3
- Publication Date: 2011
- Journal Name: International Journal of Pure and Applied Mathematics
- Journal Indexes: Scopus
- Page Numbers: pp.401-409
- Keywords: Fractal dimension, Julia set, Modified inverse iteration method
- Anadolu University Affiliated: Yes
Abstract
We obtain Julia sets of fe(Z) = z2 + c using modified inverse iteration method for all c in some grid of the square [-2, 2]×[-2, 2] and compute fractal dimensions of them. Then we give the whole picture by drawing the graph of fractal dimensions of Julia sets which resembles the Mandelbrot set. © 2011 Academic Publications, Ltd.