Chaos, Mixing, Weakly Mixing and Exactness - Open Access Library Journal

OALibJ > Vol.5 No.6, June 2018

Chaos, Mixing, Weakly Mixing and Exactness ()

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DOI: 10.4236/oalib.1103773 527 Downloads 1,208 Views Citations

Author(s)

Mohammed Nokhas Murad Kaki

Affiliation(s)

Department of Mathematics, College of Science, University of Sulaimani, Sulaimani, Iraq.

ABSTRACT

In this paper, new definitions of chaos, exact chaos, mixing chaos, and weak mixing chaos called θ-chaos, θ exact chaos, θ-mixing chaos are introduced and extended to topological spaces. Our purpose is to investigate other types of transitivity, chaos and mixing, because when we confirm not existence of θ-transitivity we confirm not existence of other types of transitive functions and its absence cannot find other types of transitivity. So the author must confirm the existence of this type of transitivity. We have proved that these chaotic definitions are all preserved under θ r-conjugation.

KEYWORDS

θ-Chaotic Maps, θ-Mixing, Topological Exactness, Weak Mixing

Share and Cite:

Kaki, M. (2018) Chaos, Mixing, Weakly Mixing and Exactness. Open Access Library Journal, 5, 1-7. doi: 10.4236/oalib.1103773.

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