Topology Proceedings, Volume (46), No (2), Year (2015-1) , Pages (67-72)

Title : ( On the Stability of Orbits for Iterated Function Systems )

Authors: Ali Reza Zamani Bahabadi ,

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Abstract

‎In this paper we study on the stability of orbits for iterated function systems‎. ‎Precisely‎, ‎we prove that there exists a residual set $\mathcal{R} \subset \mathcal{H} (X) \times‎ ‎\mathcal{H} (X)$ such that for every $(f_0‎, ‎f_1) \in \mathcal{R}$‎, ‎$IFS (f_0‎ , ‎f_1)$ is weak orbitally stable‎, ‎$1$-inverse weak orbitally stable and $w$-orbitally stable‎, ‎where $w \in \Sigma^2$‎. As well we show that ‎for every $(f_0‎, ‎f_1) \in \mathcal{H} (X) \times \mathcal{H} (X)$‎, ‎$IFS (f_0‎, ‎f_1)$ is $2$-inverse weak orbitally stable‎.

Keywords

, Iterated function systems, orbitally stable, weak orbitally stable
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@article{paperid:1047429,
author = {Zamani Bahabadi, Ali Reza},
title = {On the Stability of Orbits for Iterated Function Systems},
journal = {Topology Proceedings},
year = {2015},
volume = {46},
number = {2},
month = {January},
issn = {0146-4124},
pages = {67--72},
numpages = {5},
keywords = {Iterated function systems; orbitally stable; weak orbitally stable},
}

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%0 Journal Article
%T On the Stability of Orbits for Iterated Function Systems
%A Zamani Bahabadi, Ali Reza
%J Topology Proceedings
%@ 0146-4124
%D 2015

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