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The circle as an attractor of an iterated function system on the plane

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Publication:882051
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DOI10.1016/j.jmaa.2006.10.067zbMath1113.37011OpenAlexW2019135156MaRDI QIDQ882051

Mehmet Üreyen, Bünyamin Demir, Vakif Dzhafarov, Şahin Koçak

Publication date: 23 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.10.067

zbMATH Keywords

contractionself-similarity


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving maps of the circle (37E10) Fractals (28A80) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)


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Some connections between the attractors of an IIFS \(\mathcal S\) and the attractors of the sub-IFSs of \(\mathcal S\), Chaos game for IFSs on topological spaces, On the group of isometries of planar IFS fractals*



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