The graph of fractal dimensions of Julia sets
International Journal of Pure and Applied Mathematics, cilt.70, sa.3, ss.401-409, 2011 (Scopus)
- 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.