We construct iterated function systems on compact manifolds that are C1

robustly minimal. On the m-dimensional torus and on two dimensional compact

manifolds, examples are provided of C1 robustly minimal iterated function...

Dear Dr. Ghane Ostadghassemi,

I have pleasure in inviting you to visit the Mathematics Section of the Abdus Salam International Centre for Theoretical Physics (ICTP) from 1 July to 23 July 2011, and to participate ...

We provided an iterated function system on any compact connected m-dimensional manifold with just three generators. This improve the main result of [GHS]....

This work is devoted to the study of the strong minimality of a class of iterated function systems defined on the two dimensional torus T2. This means that almost every orbital branch of each point is

dense in the ambient space. Moreover, we...

For an iterated function system (IFS), we investigate combinatorial issues relating to the use of random orbits and also we study stochastic properties of random orbits in topological dynamics of semigroup actions. Moreover, we will address some...

Given any compact m-dimensional manifold M, we describe C1-

open sets of iterated function systems admitting infinite number of attracting

and repelling periodic orbits. We show that attracting periodic orbits are dense...

the shadowing property if and only if the step skew product corresponding to the iterated function system has the shadowing property. Also, we study some notions such as transitivity, chain

transitivity, chain mixing and mixing for iterated function...

‎In this paper we study on the stability of orbits for iterated function systems‎. ‎Precisely‎, ‎we prove that there exists a residual set $\\mathcal{R} \\subset \\mathcal{H} (X) \\times‎

‎\\mathcal{H} (X)$ such that for every $(f_0‎, ‎f_1...

The present work is concerned with the equicontinuity and sensitivity of iterated function systems (IFSs). Here, we consider more general case of IFSs, i.e. the IFSs generated by a family of relations. We generalize the concepts of transitivity...

This paper concerns the chaos game of random iterated function
systems. We consider a random iterated function system IFS(F) generated by
a finite family of Lipschitz maps on a compact ball of Rn with the weak average
contraction condition...