Nonregular Dynamics. Barnsley Iterated Function Systems (Barnsley's IFS) and Fractal Filling

Oleg V. Nikitenko

doi:10.1615/JAutomatInfScien.v30.i6.100

Journal of Automation and Information Sciences

Editor-in-Chief: Arkadiy A. Chikriy (open in a new tab)

Associate Editors: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

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Nonregular Dynamics. Barnsley Iterated Function Systems (Barnsley's IFS) and Fractal Filling

Volume 30, Issue 6, 1998, pp. 90-102

DOI: 10.1615/JAutomatInfScien.v30.i6.100

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Oleg V. Nikitenko
Kyiv International University, Kyiv

ABSTRACT

Some viewpoints to the nonregular dynamics of systems are briefly presented and its connections with the theory of iterated function systems (IFS), which was elaborated by M. Barnsley, and the possibility of their applications in the problems of filling continuous functions on the plane and in the space are noted. Algorithms for filling and the software structure that are needed for solution of applied problems are described. Examples of fractal filling of some data of hydrogeology measurements at the "Feofaniya" proving ground and radiation pollution in the 30 km Chernobyl' Nuclear Station zone are presented.

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