Chaos: Exact, Mixing and Weakly Mixing Maps
Pure and Applied Mathematics Journal
Volume 4, Issue 2, April 2015, Pages: 39-42
Received: Dec. 19, 2014; Accepted: Dec. 30, 2014; Published: Feb. 11, 2015
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Author
Mohammed Nokhas Murad Kaki, Math Department, School of Science, Faculty of Science and Science Education, University of Sulaimani, Sulaymaniyah,Iraq
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Abstract
In this work, I studied a new class of topological λ-type chaos maps, λ-exact chaos and weakly λ-mixing chaos. Relationships with some other type of chaotic maps are given. I will list some relevant properties of λ-type chaotic map. The existence of chaotic behavior in deterministic systems has attracted researchers for many years. In engineering applications such as biological engineering, and chaos control, chaoticity of a topological system is an important subject for investigation. The definitions of λ-type chaos, λ-type exact chaos, λ-type mixing chaos, and weak λ-type mixing chaos are extended to topological spaces. This paper proves that these chaotic properties are all preserved under λr-conjugation. We have the following relationships: λ-type exact chaos⇒ λ-type mixing chaos ⇒ weak λ-type mixing chaos ⇒λ-type chaos.
Keywords
Chaos, λ-Type Exact, Mixing, Weakly λ-Type Mixing, Conjugacy
To cite this article
Mohammed Nokhas Murad Kaki, Chaos: Exact, Mixing and Weakly Mixing Maps, Pure and Applied Mathematics Journal. Vol. 4, No. 2, 2015, pp. 39-42. doi: 10.11648/j.pamj.20150402.11
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