Implication diagram of five chaos characterizations: a survey on compact metric space and shift of finite type

We give a summary on the development of the relationships between some chaos characterizations, focusing on Devaney chaos, locally eventually onto, strong dense periodic points, topologically mixing and totally transitive. We represent the relationships in four implication diagrams. We look at compa...

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Main Authors: Malouh Baloush,, Syahida Che Dzul-Kifli,
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2017
Online Access:http://journalarticle.ukm.my/11939/1/jqma-13-1-paper2.pdf
http://journalarticle.ukm.my/11939/
http://www.ukm.my/jqma/jqma13_1a.html
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spelling my-ukm.journal.119392018-07-22T02:45:57Z http://journalarticle.ukm.my/11939/ Implication diagram of five chaos characterizations: a survey on compact metric space and shift of finite type Malouh Baloush, Syahida Che Dzul-Kifli, We give a summary on the development of the relationships between some chaos characterizations, focusing on Devaney chaos, locally eventually onto, strong dense periodic points, topologically mixing and totally transitive. We represent the relationships in four implication diagrams. We look at compact metric spaces in general and on shifts of finite type in particular. At the end, it is shown that different spaces yield different results. Penerbit Universiti Kebangsaan Malaysia 2017-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/11939/1/jqma-13-1-paper2.pdf Malouh Baloush, and Syahida Che Dzul-Kifli, (2017) Implication diagram of five chaos characterizations: a survey on compact metric space and shift of finite type. Journal of Quality Measurement and Analysis, 13 (1). pp. 15-23. ISSN 1823-5670 http://www.ukm.my/jqma/jqma13_1a.html
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description We give a summary on the development of the relationships between some chaos characterizations, focusing on Devaney chaos, locally eventually onto, strong dense periodic points, topologically mixing and totally transitive. We represent the relationships in four implication diagrams. We look at compact metric spaces in general and on shifts of finite type in particular. At the end, it is shown that different spaces yield different results.
format Article
author Malouh Baloush,
Syahida Che Dzul-Kifli,
spellingShingle Malouh Baloush,
Syahida Che Dzul-Kifli,
Implication diagram of five chaos characterizations: a survey on compact metric space and shift of finite type
author_facet Malouh Baloush,
Syahida Che Dzul-Kifli,
author_sort Malouh Baloush,
title Implication diagram of five chaos characterizations: a survey on compact metric space and shift of finite type
title_short Implication diagram of five chaos characterizations: a survey on compact metric space and shift of finite type
title_full Implication diagram of five chaos characterizations: a survey on compact metric space and shift of finite type
title_fullStr Implication diagram of five chaos characterizations: a survey on compact metric space and shift of finite type
title_full_unstemmed Implication diagram of five chaos characterizations: a survey on compact metric space and shift of finite type
title_sort implication diagram of five chaos characterizations: a survey on compact metric space and shift of finite type
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2017
url http://journalarticle.ukm.my/11939/1/jqma-13-1-paper2.pdf
http://journalarticle.ukm.my/11939/
http://www.ukm.my/jqma/jqma13_1a.html
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score 13.211869