Relation between locally everywhere onto and the strong dense periodicity property on shift of finite type

Malouh Baloush, Syahida Che Dzul-Kifli

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Transitivity and dense periodic points are two ingredients for Devaney chaos. It is well known that the two properties does not imply each other. In this paper, we investigate two stronger properties which are stronger than transitivity and dense periodic points, respectively. The properties are locally everywhere onto (l.e.o) and Pn dense for all n. We will show that the property of l.e.o implies the strong dense periodicity property (Pn dense for all n) on shift of finite type. Some examples will be given to show that this is not the case for other general spaces.

Original languageEnglish
Title of host publication2017 UKM FST Postgraduate Colloquium
Subtitle of host publicationProceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium
PublisherAmerican Institute of Physics Inc.
Volume1940
ISBN (Electronic)9780735416321
DOIs
Publication statusPublished - 4 Apr 2018
Event2017 UKM FST Postgraduate Colloquium - Selangor, Malaysia
Duration: 12 Jul 201713 Jul 2017

Other

Other2017 UKM FST Postgraduate Colloquium
CountryMalaysia
CitySelangor
Period12/7/1713/7/17

Fingerprint

periodic variations
shift
ingredients
chaos

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Baloush, M., & Che Dzul-Kifli, S. (2018). Relation between locally everywhere onto and the strong dense periodicity property on shift of finite type. In 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium (Vol. 1940). [020117] American Institute of Physics Inc.. https://doi.org/10.1063/1.5028032

Relation between locally everywhere onto and the strong dense periodicity property on shift of finite type. / Baloush, Malouh; Che Dzul-Kifli, Syahida.

2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Vol. 1940 American Institute of Physics Inc., 2018. 020117.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Baloush, M & Che Dzul-Kifli, S 2018, Relation between locally everywhere onto and the strong dense periodicity property on shift of finite type. in 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. vol. 1940, 020117, American Institute of Physics Inc., 2017 UKM FST Postgraduate Colloquium, Selangor, Malaysia, 12/7/17. https://doi.org/10.1063/1.5028032
Baloush M, Che Dzul-Kifli S. Relation between locally everywhere onto and the strong dense periodicity property on shift of finite type. In 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Vol. 1940. American Institute of Physics Inc. 2018. 020117 https://doi.org/10.1063/1.5028032
Baloush, Malouh ; Che Dzul-Kifli, Syahida. / Relation between locally everywhere onto and the strong dense periodicity property on shift of finite type. 2017 UKM FST Postgraduate Colloquium: Proceedings of the University Kebangsaan Malaysia, Faculty of Science and Technology 2017 Postgraduate Colloquium. Vol. 1940 American Institute of Physics Inc., 2018.
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