2 papers
math.DS2017
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…
math.DS2016
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…