The chaotic behavior on the unit circle

Syahida Che Dzul-Kifli; Chris Good

doi:10.12988/ijma.2016.68103

The chaotic behavior on the unit circle

Syahida Che Dzul-Kifli
, Chris Good

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

234 Downloads (Pure)

Abstract

Transitivity and dense periodic points are two main ingredients of Devaney chaos. There are many stronger properties than these two main ingredients that have been studied as a shortcut to chaos. In this paper, we focus on two of these, locally everywhere onto and a strong dense periodicity property, and show the implication of these properties on the unit circle.

Original language	English
Pages (from-to)	1245-1254
Number of pages	10
Journal	International Journal of Mathematical Analysis
Volume	10
Issue number	25
DOIs	https://doi.org/10.12988/ijma.2016.68103
Publication status	Published - 4 Nov 2016

Keywords

Devaney chaos
Exact
Locally everywhere onto
Strong dense periodicity property
Unit circle

ASJC Scopus subject areas

General Mathematics

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Syahida_Che_Dzul-Kifli_and_Chris_Good_The_chaotic_behavior_on_the_unit_circle_International_Journal_of_Mathematical_Analysis_2016
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Cite this

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abstract = "Transitivity and dense periodic points are two main ingredients of Devaney chaos. There are many stronger properties than these two main ingredients that have been studied as a shortcut to chaos. In this paper, we focus on two of these, locally everywhere onto and a strong dense periodicity property, and show the implication of these properties on the unit circle.",

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AB - Transitivity and dense periodic points are two main ingredients of Devaney chaos. There are many stronger properties than these two main ingredients that have been studied as a shortcut to chaos. In this paper, we focus on two of these, locally everywhere onto and a strong dense periodicity property, and show the implication of these properties on the unit circle.

KW - Devaney chaos

KW - Exact

KW - Locally everywhere onto

KW - Strong dense periodicity property

KW - Unit circle

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JF - International Journal of Mathematical Analysis

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The chaotic behavior on the unit circle

Abstract

Keywords

ASJC Scopus subject areas

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