The graph of fractal dimensions of Julia sets

DEMİR B., ÖZDEMİR Y., SALTAN M.

International Journal of Pure and Applied Mathematics, vol.70, no.3, pp.401-409, 2011 (Scopus) identifier

  • 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.