Department of Mathematics College of Education for Pure Sciences University of Babylon, Babylon, 51001, Iraq
Dunia M. K. Al-Ftlawy, Raghad Almohammed, May A. A. Al-Yaseen
In this paper: In dynamical systems theory, the concept of shadowing refers to the ability to approximate a pseudo-orbit (PO) by an actual orbit of the system. The accuracy of this approximation depends on the speci...
May A. A. Al-Yaseen, Hayder Kadhim Zghair, Raad Safah Abood
In this paper: The sufficient conditions were obtained under which the uniform convergence of mappings shows a dynamical behavior at a point of inverse shadowing in G-space. Since orbital convergence is stronger tha...
May A. A. Al-Yaseen, Hayder Kadhim Zghair, Raad Safah Abood
In this paper: The property of inverse shadowing is studied in ℤ- group with the following properties: structurally stable, transversality property, Anosov, expansivity, continuum–wise expansive and expanding. Besi...
Hayder Kadhim Zghair, Raad Safah Abood, May A. A. Al-Yaseen, Mustafa Hasan Hadi
In this paper: In the realm of dynamical systems theory, shadowing plays a crucial role. Structurally stable diffeomorphisms exhibit a noteworthy characteristic known as the inverse shadowing characteristic, which i...
Safa Ezghair Ali, May A. A. Al-Yaseen
In this paper: We define expansive and topological stability to homeomorphisms on F M - spaces. We offer some basic features of F - expansive homeomorphism. Further, we prove Walter’s theorem in the context from a F...
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