Some chaotic properties of fuzzified dynamical systems

Let X be a compact metric space and [Formula: see text] a continuous map. Considering the space [Formula: see text] of all nonempty fuzzy sets on X endowed with the levelwise topology, we proved that its g-fuzzification is turbulent or erratic if the given system f is turbulent or erratic correspond...

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Detalles Bibliográficos
Autores principales: Ma, Cuina, Zhu, Peiyong, Lu, Tianxiu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4870553/
https://www.ncbi.nlm.nih.gov/pubmed/27330906
http://dx.doi.org/10.1186/s40064-016-2297-z
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author Ma, Cuina
Zhu, Peiyong
Lu, Tianxiu
author_facet Ma, Cuina
Zhu, Peiyong
Lu, Tianxiu
author_sort Ma, Cuina
collection PubMed
description Let X be a compact metric space and [Formula: see text] a continuous map. Considering the space [Formula: see text] of all nonempty fuzzy sets on X endowed with the levelwise topology, we proved that its g-fuzzification is turbulent or erratic if the given system f is turbulent or erratic correspondingly and f is [Formula: see text] -expansive if and only if its g-fuzzification is [Formula: see text] -expansive.
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spelling pubmed-48705532016-06-21 Some chaotic properties of fuzzified dynamical systems Ma, Cuina Zhu, Peiyong Lu, Tianxiu Springerplus Research Let X be a compact metric space and [Formula: see text] a continuous map. Considering the space [Formula: see text] of all nonempty fuzzy sets on X endowed with the levelwise topology, we proved that its g-fuzzification is turbulent or erratic if the given system f is turbulent or erratic correspondingly and f is [Formula: see text] -expansive if and only if its g-fuzzification is [Formula: see text] -expansive. Springer International Publishing 2016-05-17 /pmc/articles/PMC4870553/ /pubmed/27330906 http://dx.doi.org/10.1186/s40064-016-2297-z Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Ma, Cuina
Zhu, Peiyong
Lu, Tianxiu
Some chaotic properties of fuzzified dynamical systems
title Some chaotic properties of fuzzified dynamical systems
title_full Some chaotic properties of fuzzified dynamical systems
title_fullStr Some chaotic properties of fuzzified dynamical systems
title_full_unstemmed Some chaotic properties of fuzzified dynamical systems
title_short Some chaotic properties of fuzzified dynamical systems
title_sort some chaotic properties of fuzzified dynamical systems
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4870553/
https://www.ncbi.nlm.nih.gov/pubmed/27330906
http://dx.doi.org/10.1186/s40064-016-2297-z
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