The graph of fractal dimensions of Julia sets

DEMİR B., ÖZDEMİR Y., SALTAN M.

International Journal of Pure and Applied Mathematics, cilt.70, sa.3, ss.401-409, 2011 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70 Sayı: 3
  • Basım Tarihi: 2011
  • Dergi Adı: International Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.401-409
  • Anahtar Kelimeler: Fractal dimension, Julia set, Modified inverse iteration method
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.