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/ http://journalarticle.ukm.my/11939/ http://journalarticle.ukm.my/11939/1/jqma-13-1-paper2.pdf

id	ukm-11939
recordtype	eprints
spelling	ukm-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
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
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/ http://journalarticle.ukm.my/11939/ http://journalarticle.ukm.my/11939/1/jqma-13-1-paper2.pdf
first_indexed	2023-09-18T20:01:29Z
last_indexed	2023-09-18T20:01:29Z
_version_	1777406878348738560

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

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