Chaotic diffeomorphism on manifold (smooth manifold)

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Ali A. Shihab
Mizal H. Al-Obaidi
Jehan Hamad Hazaa

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.

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How to Cite
Ali A. Shihab, Mizal H. Al-Obaidi, & Jehan Hamad Hazaa. (2019). Chaotic diffeomorphism on manifold (smooth manifold). Tikrit Journal of Pure Science, 24(1), 103–106. https://doi.org/10.25130/tjps.v24i1.338
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Articles

References

[1] Aoki, N. and Hiraide, K. (1994). Topological Theory of Dynamical Systems. Amsterdam: North-Holland Publishing. [2] Fessler, R. (1995). A proof of the two-dimensional Markus-Yamabe stability conjecture and a generalization . Ann. Pol. Math. Vol. 62, No. 1. P. 45-74. [3] Kaki M. N. (2016). Dynamics in differential manifolds . Germany: Lambert Academic Publishing. [4] Kirichenko V.F.(2003). Differential– Geometrical structure on manifold, Moscow : MSPU. [5] Salama F. and Rafat H. (2012). Tilling of Chaotic Manifold and its Fractal folding. Journal of American Scince ; 8(12). [6] Shihab A.A. (2011). Geometry of the tensor of conharmonic curvature of nearly kohlerian manifolds, Moscow state pedagogical university .