APPROXIMATION OF FRACTALS GENERATED BY INTEGRAL OPERATORS

  • ION CHIŢESCU
    Faculty of Mathematics and Informatics Bucharest University Bucharest, Academiei Str., No. 14, Romania
    ionchitescu@yahoo.com
  • HORIA GEORGESCU
    Faculty of Mathematics and Informatics Bucharest University Bucharest, Academiei Str., No. 14, Romania
    g_horia@fmi.unibuc.ro
  • RADU MICULESCU
    Faculty of Mathematics and Informatics Bucharest University Bucharest, Academiei Str., No. 14, Romania
    miculesc@yahoo.com

Abstract

We present some results concerning fractals generated by an iterated function system which is formed using integral operators on the infinite dimensional space of continuous functions on a compact interval. We approximate the fractal via a finite approximant set and project this approximant set in two dimensions, in order to make possible the visualization of the fractal.

Cuvinte cheie

Attractor; Fractal; Hammerstein-type operator; Iterated function system; Orthogonal projection