I. Naghmouchi

activity

20112025

most citedPeriodic points and transitivity on dendrites

12 citations · 20 across the 6 of their papers we have counts for

collaborators

9 papers

math.DS2025

Dynamics on Hyperspace of Pointwise Periodic Homeomorphisms

Issam Naghmouchi

In this paper, we first prove that the topological entropy of induced map of any distal homeomorphism of a compact metric space is null. Then we consider induced map $2^{f}$ of an ar…

math.DS2021★ 1 cited

Entropy of induced maps of regular curves homeomorphisms

Aymen Daghar, Issam Naghmouchi

Let $f : X \to X$ be a self homeomorphism of a continuum $X$ , we show that the topological entropy of the induced system $(2^{X}, 2^{f})$ is infinite provided that $X ∖ Ω (f)$ is not…

math.DS2019

A note on actions with finite orbits on dendrites

el Houcein el Abdalaoui, Issam Naghmouchi

It is shown that the restriction of the action of any group with finite orbit on the minimal sets of dendrites is equicontinuous. Consequently, we obtain that the action of any ame…

math.DS2018

Dynamics of homeomorphisms of regular curves

Issam Naghmouchi

In this paper, we prove first that the space of minimal sets of any homeomorphisms $f : X \to X$ of a regular curve $X$ is closed in the hyperspace $2^{X}$ of closed subsets of $X$ endo…

math.DS2018★ 7 cited

Minimal sets and orbit space for group actions on local dendrites

Habib Marzougui, Issam Naghmouchi

We consider a group $G$ acting on a local dendrite $X$ (in particular on a graph). We give a full characterization of minimal sets of $G$ by showing that any minimal set $M$ of $G$ …

math.DS2015

Monotone Maps on dendrites and their induced maps

Haithem Abouda, Issam Naghmouchi

A continuum $X$ is a dendrite if it is locally connected and contains no simple closed curve, a self mapping $f$ of $X$ is called monotone if the preimage of any connected subset o…

math.DS2014

On totally periodic w-limit sets

Habib Marzougui, Issam Naghmouchi

An w-limit set of a continuous self-mapping of a compact metric space X is said to be totally periodic if all of its points are periodic. We say that X has the w-FTP property provi…

math.DS2013★ 12 cited

Periodic points and transitivity on dendrites

Gerardo Acosta, Rodrigo Hernández-Gutiérrez, Issam Naghmouchi +1

We study relations between transitivity, mixing and periodic points on dendrites. We prove that when there is a point with dense orbit which is not an endpoint, then periodic point…

math.DS2011

Pointwise-recurrent dendrite maps

Issam Naghmouchi

Let D be a dendrite and f:D-> D a continuous map. Denote by E(D) and B(D) the sets of endpoints and branch points of D respectively. We show that if E(D) is countable (resp. B(D) i…