Department of Mathematics, Yazd University, Yazd, 89195-741, Iran
Fatemeh Rezaei, Mehdi Fatehi Nia
In this paper: In this article, we consider an iterated functions system (IFS) whose functions are homeomorphisms on an annulus. We define rotational spanning and separating sets for the IFS and then provide two def...
Mehdi Fatehi Nia
In this paper: This paper considers some properties in topological dynamical systems in iterated function systems. First, we will introduce chain mixing and chain transitive iterated function systems then some resul...
Mehdi Fatehi Nia
In this paper: In this paper we consider the chain mixing and shadowing properties for iterated function systems, (IFS). Some important results about shadowing property are extended to iterated function systems. We...
Mehdi Fatehi Nia
In this paper: In this paper, we focus attention on extending the topological conjugacy of adding machine maps and minimal systems to iterated function systems. We provide necessary and sufficient conditions for an...
Mehdi Fatehi Nia, Vahideh Jafari
In this paper: In this paper we present a new concept of ω–limit set and attracting set. Relative semi-dynamical system and some of its properties are presented. Relative semi-attractor set is considered. semi-attra...
Mehdi Fatehi Nia
In this paper: Let X be a compact metric space and f : X → X be a homeomorphism map. In this paper we are going to introduce the h-average shadowing property for discrete dynamical system (X, f). It is shown that f...
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