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Chaos game for IFSs on topological spaces

Barnsley, Michael; Lesniak, Krzysztof; Rypka, Miroslav

Description

We explore the chaos game on continuous IFSs on topological spaces. We prove that the existence of an attractor implies that the chaos game can be used to construct approximations of the attractor. The essential role of basin of attraction is discussed.

CollectionsANU Research Publications
Date published: 2016
Type: Journal article
URI: http://hdl.handle.net/1885/281497
Source: Journal of Mathematical Analysis and Applications
DOI: 10.1016/j.jmaa.2015.11.022

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