Title : ( Uniform structure with iterated function system, step skew product and their uniform entropy )
Authors: Mohsen Yadegari , Ali Reza Zamani Bahabadi , Ali Barzanouni ,
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Abstract
In this paper we study notions of shadowing property, topological entropy, chain transitive and chain mixing for an IFS on a uniform space. Indeed, We define step skew product and equip it with a uniform structure and then we prove the inherited properties of this mapping with that uniform structure, including the topologically chain transitive, topologically chain mixing, topologically shadowing property and transitive. Moreover, we extend Hood’s definition of uniform entropy from a single self-mapping to a finite number of self-mappings(IFS)
Keywords
, Uniform structure, iterated function system(IFS), step skew product, topologically chain transitivity, topologically chain mixing, topologically shadowing property, transitivity, uniform entropy
@article{paperid:1101130,
author = {Yadegari, Mohsen and Zamani Bahabadi, Ali Reza and علی برزنونی},
title = {Uniform structure with iterated function system, step skew product and their uniform entropy},
journal = {Filomat},
year = {2024},
volume = {38},
number = {24},
month = {December},
issn = {0354-5180},
pages = {8677--8688},
numpages = {11},
keywords = {Uniform structure; iterated function system(IFS); step skew product; topologically chain transitivity; topologically chain mixing; topologically shadowing property; transitivity; uniform entropy},
}
%0 Journal Article
%T Uniform structure with iterated function system, step skew product and their uniform entropy
%A Yadegari, Mohsen
%A Zamani Bahabadi, Ali Reza
%A علی برزنونی
%J Filomat
%@ 0354-5180
%D 2024
