TARU PUBLICATIONS
Author

Iftichar Mudhar Al-Shara`a

Department of Mathematics College of Education for Pure Sciences  University of Babylon , Babylon, Iraq

Published papers
5
Citations
1
Views
693
Downloads
88

Publications

5 papers
Open Access Research Article·pp. 1255–1262·Vol. 29, Issue 5-AMay 2026

The complex dynamics of rational maps having no Herman ring

Iftichar Mudhar Al-Shara`a, Hassanein Q. Al-Salami

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2308

In this paper: This work aims to study the complex dynamics of rational maps, which, according to the Sullivan component, include sets of forward cyclic iterations, which include both equivalent and doubly connected...

AbstractReferencesFull Text PDF (850 KB)Views: 37Downloads: 10Citations: 0
Open Access Research Article·pp. 929–935·Vol. 28, Issue 3-AApr 2025

Some types of the shadowing property of uniform convergence

Murtadha Mohammed Mansoor, Iftichar Mudhar Al-Shara`a

Published Online: 08 May 2025DOI: 10.47974/JIM-2071

In this paper: This paper introduces a lot of shadowing properties that have to do with the uniform convergence of a sequence {Hm : m ∈ N} of continuous self-maps over the metric space (M,ϱ). The paper gives a proof...

AbstractReferencesFull Text PDF (488 KB)Views: 123Downloads: 8Citations: 0
Open Access Research Article·pp. 1455–1459·Vol. 26, Issue 7Oct 2023

The hyperbolic sets with the fitting shadowing property

Dunia M. K. AL-Ftlawy AL-Ftlawy, Iftichar Mudhar Al-Shara`a

Published Online: 29 Nov 2023DOI: 10.47974/JIM-1565

In this paper: We explain  around C1-stable fitting shadowing property of a diffeomorphism f of  C∞ (closed manifold M) denote by SFSP of invariant closed set B in M; we want to prove the main Theorem that f_(|B) sa...

AbstractReferencesFull Text PDF (350 KB)Views: 182Downloads: 8Citations: 0
Open Access Research Article·pp. 1571–1575·Vol. 26, Issue 7Oct 2023

The minimality of g-non-autonomous discrete dynamical systems

Russl Abd Al-Khaliq Abd Al-Rahim, Iftichar Mudhar Al-Shara`a

Published Online: 01 Nov 2023DOI: 10.47974/JIM-1582

In this paper: In this study, we assume that there is that converges uniformly of a series (ℓn) that stimulates general non-autonomous discrete dynamical systems, then the transitivity and sensitivity can follow fro...

AbstractReferencesFull Text PDF (345 KB)Views: 202Downloads: 4Citations: 1
Open Access Research Article·pp. 1483–1491·Vol. 26, Issue 7Oct 2023

Rational map has a Cantor Circle Julia set  and  a Sierpinski Carpet Julia set of degree m

Iftichar Mudhar Al-Shara`a, Hassanein Q. Al-Salami

Published Online: 01 Nov 2023DOI: 10.47974/JIM-1569

In this paper: This research aims to study complex dynamics, and one of the best examples of this concept is the Julia set, for this we will present new concepts specific to the Julia set of the rational map J(Gμ)....

AbstractReferencesFull Text PDF (617 KB)Views: 149Downloads: 58Citations: 0