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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Penerbit Universiti Kebangsaan Malaysia
2017
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| 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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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 |
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| 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 |
| _version_ |
1643738646387359744 |