Title : ( Chaos in Iterated Function Systems )
Authors: maliheh mohtashamipour , Ali Reza Zamani Bahabadi ,
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Abstract
In the present paper, we study chaos in iterated function systems (IFS), namely dynamical systems with several generators. We introduce weak Li–Yorke chaos, chaos in branch, and weak topological chaos to perceive the role of branches to create chaos in an IFS. Moreover, we define another type of chaos, σ-chaos, on an IFS. Further, we find the necessary conditions to create the chaotic iterated function systems.
Keywords
, Iterated function system; weak Li–Yorke chaos; chaos in branch; σ, chaos; weak topological chaos.
@article{paperid:1081606,
author = {Mohtashamipour, Maliheh and Zamani Bahabadi, Ali Reza},
title = {Chaos in Iterated Function Systems},
journal = {International Journal of Bifurcation and Chaos},
year = {2020},
volume = {30},
number = {12},
month = {September},
issn = {0218-1274},
pages = {2050177--2050177},
numpages = {0},
keywords = {Iterated function system; weak Li–Yorke chaos; chaos in branch; σ-chaos; weak
topological chaos.},
}
%0 Journal Article
%T Chaos in Iterated Function Systems
%A Mohtashamipour, Maliheh
%A Zamani Bahabadi, Ali Reza
%J International Journal of Bifurcation and Chaos
%@ 0218-1274
%D 2020
