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APPROXIMATION OF FRACTALS GENERATED BY INTEGRAL OPERATORS


ION CHIĆąESCU 1, HORIA GEORGESCU 2, RADU MICULESCU 3
Faculty of Mathematics and Informatics Bucharest University Bucharest, Academiei Str., No. 14, Romania
e-mail addresses: 1. ionchitescu@yahoo.com, 2. g_horia@fmi.unibuc.ro, 3. miculesc@yahoo.com

Issue:

SSRSMI, Number 1, Volume XXI

Section:

Volume 21, Number 1

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.

Keywords:

Attractor, Fractal, Hammerstein-type operator, Iterated function system, Orthogonal projection.

Code [ID]:

SSRSMI201101V21S01A0006 [0003408]

Full paper:

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