2019•Tikrit Journal of Pure ScienceOpen access

Chaotic diffeomorphism on manifold (smooth manifold)

Ali A. Shihab, Mizal H. Alobaidi, Jehan Hamad Hazaa

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Abstract

In this paper we concern in studying chaotic homeomorphisms deals with study and investigate of chaotic homeomorphisms on smooth manifolds. For connections more precisely to chaotic diffeomorphisms maps on smooth manifolds. New relation between diffeomorphism an chaotic, transitive, dense and nowhere dense in smooth manifolds have been found. Product of two diffeomorphisms dense maps on smooth manifold is dense. Product of two chaotic maps on smooth manifold is chaotic. http://dx.doi.org/10.25130/tjps.24.2019.017

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In this paper we concern in studying chaotic homeomorphisms deals with study and investigate of chaotic homeomorphisms on smooth manifolds. For connections more precisely to chaotic diffeomorphisms maps on smooth manifolds. New relation between diffeomorphism an chaotic, transitive, dense and nowhere dense in smooth manifolds have been found. Product of two diffeomorphisms dense maps on smooth manifold is dense. Product of two chaotic maps on smooth manifold is chaotic. http://dx.doi.org/10.25130/tjps.24.2019.017

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Available abstract

In this paper we concern in studying chaotic homeomorphisms deals with study and investigate of chaotic homeomorphisms on smooth manifolds. For connections more precisely to chaotic diffeomorphisms maps on smooth manifolds. New relation between diffeomorphism an chaotic, transitive, dense and nowhere dense in smooth manifolds have been found. Product of two diffeomorphisms dense maps on smooth manifold is dense. Product of two chaotic maps on smooth manifold is chaotic. http://dx.doi.org/10.25130/tjps.24.2019.017

Key concepts: Diffeomorphism, Manifold (fluid mechanics), Chaotic, Product (mathematics), Transitive relation, Pure mathematics, Mathematics, Center manifold

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