Hussein Abdulhussein

• Ph.D
• Professor at Al-Muthanna University

We present some properties the Mandelbrot set of Quartic rational maps. Every Quartic rationalfunctions is conjugate to????????+c or λ(????????+1/z+b). We study the Mandelbrot set ????????, the set of parramrters bfor which the Julia set of λ(????????+1/z+b) is connected

It is our pleasure to welcome you in the "2nd International Workshop on Advanced Topics in Dynamical Systems, IWATDS", March 1-2, 2020. The 2nd IWATDS 2020 is a sequel to the Workshop on Advanced Topics in Dynamical Systems Theory 2019 which was organized on third of March 2019 by the Department of Mathematics, Faculty of Computer Science and Math...

We showing the concept of f-expandable spaces as a significant variation of expandable spaces. The present study appears some properties of f-expandable and given the equivalent condition on space to be f-expandable.

In this work we study the dynamics of the transcendental meromorphic function in the one parameter family ,we describe the Julia set of the function in H.

We introduce and investigate a new definition of topological transitive by using the nation N-open subset and we called N-transitive and prove the equivalent definitions of this new definition.

"Let be a graph and be continuous function, we study some types of chaotic functions on a graph and find the relation between them. We also introduce a new type of chaos defined on a graph called strongly chaotic and characterization generically chaotic and densely chaotic on graph maps."

In this paper, we provide Rouche's theorem for a different way by using the concept of Lebesgue – Stieltjes integral, and Korovkin type theorem. We dealt with the result of the classical Korovkin approximation theorem by a sequence and B-statistical A-summability, for use in the expansion of the Egorov's theorem later.

In the present paper , we have studied a class of univalent functions by applying a ((H – R)) fractional calculus , we obtain distortion theorem , wighted mean , arithmetic mean and some results .

In our paper, we study a class of univalent functions with negative coefficients defined by integral operator in the unit disk U by applications fractional calculus . We obtain some results for this class .

We study a class of functions which are univalent and analytic in the unit disk. We obtain coefficient estimates, distortion bounds and some other results.

Let (X,d) be a metric space. A map f:X→X is said to be equicontinuous (with respect to d) if for any ε>0, there exists δ>0 such that for x,y∈X, d(x,y)<δ implies d(f n (x),f n (y))<ε for all n∈ℕ. The purpose of this paper is to determine conditions under which equicontinuous maps be chaos. We study some types of chaos dedne on equicontinuous maps an...

Let f be an analytic starlike univalent function. We have introduce a new subclass of starlike univalent functions defined by an integral operator. We obtain a distortion theorem, an integral representation and a linear combination.

A Unimodal map is a continuous function from [0,1] into itself, for which, and has unique critical point. In this work, we study the some dynamical properties of Unimodal maps and we shows that, if f with negative Schwarzian derivative then f is chaotic map, and we study multi types of chaos and find relation between define on it.