8 citations · 9 across the 10 of their papers we have counts for
10 papers
Hartman-Grobman Theorem for IFS
Mehdi Fatehi Nia, Fatemeh Rezaei
In this paper, for iterated function systems, we define the classic concept of the dynamical systems: topological conjugacy of diffeomorphisms. We generalize the Hartman-Grobman th…
Various shadowing properties and their equivalent for expansive iterated function systems
Mehdi Fatehi Nia
In this paper we introduce expansive iterated function systems, ( IFS) on a compact metric space then various shadowing properties and their equivalence are considered for expansiv…
Chain Mixing and Chain Recurrent Iterated Function Systems
Mehdi Fatehi Nia
This paper considers the egodicity properties in iterated function systems. First, we will introduce chain mixing and chain transitive iterated function systems then some results a…
Adding Machine Maps and Minimal Sets for Iterated Function Systems
Mehdi Fatehi Nia
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 sufficien…
Shadowing relations with structural and topological stability in iterated function systems
Fatemeh Rezaei, Mehdi Fatehi Nia
This paper aims at formulating definitions of topological stability, structural stability, and expansiveness property for an iterated function system( abbrev, IFS). It is going to…
Topological entropy and recurrence properties in non-autonomous dynamical systems
Mehdi Fatehi Nia
In this paper we study topological entropy and recurrence properties of non-autonomous dynamical system generated by a family of continuous self maps on a compact space X. Speciall…
Weak Shadowing Property for IFS
Mehdi Fatehi Nia
In this paper we consider the shadowing property for iterated function systems,(IFS). Some important result about shadowing property are extended to iterated function systems. For…
Parameterized IFS with the asymptotic average shadowing property
Mehdi Fatehi Nia
In this paper we generalize the notion of asymptotic average shadowing property to parameterized IFS and prove some related theorems on this notion. Specially, this is proved that…
On the notion of fuzzy shadowing property
Mehdi Fatehi Nia
This paper is concerned with the study of fuzzy dynamical systems. Let (X;M; *) be a fuzzy metric space in the sense of George and Veeramani. A fuzzy discrete dynamical system is g…
Iterated function systems with the average shadowing property
Mehdi Fatehi Nia
The average shadowing property is considered for set-valued dynamical systems, generated by parameterized IFS, which are uniformly contracting, or conjugacy, or products of such on…