Mohamed El Morsalani

collaborators

3 papers

math.AP2026

Elliptic Superlevel Sets in the Class $\OO_C$: Boundary-Layer Geometry and Stability of the Return Map

Mohammed Barkatou, Mohamed El Morsalani, Mohammd Barkatou

We study elliptic superlevel geometry and return dynamics for the class $O_{C}$ . Let $C \subset R^{N}$ be a compact strictly convex core, and $Ω\in \mathcal{O}_{…

math.DS2026

Global Convergence Regimes of the Return Dynamics in the Class $O_{C}$

Mohammed Barkatou, Mohamed El Morsalani

This study investigates the global dynamics of discrete return maps $F : \partial C \to \partial C$ generated on the boundary of a convex core $C \subset R^{N}$ via an outwar…

math.AP2026

The Return Map in the Class $O_{C}$ : Geometry, Dynamics, and Thickness Regularity

Mohammed Barkatou, Mohamed El Morsalani

We study a discrete dynamical system $F = π \circ Φ$ on the boundary of a convex core $\partial C \subset R^{N}$ , generated by linking $C$ to an outer boundary $\partial Ω$ vi…

Elliptic Superlevel Sets in the Class $\OO_C$: Boundary-Layer Geometry and Stability of the Return Map

Global Convergence Regimes of the Return Dynamics in the Class OC​

The Return Map in the Class OC​: Geometry, Dynamics, and Thickness Regularity

Global Convergence Regimes of the Return Dynamics in the Class $O_{C}$

The Return Map in the Class $O_{C}$ : Geometry, Dynamics, and Thickness Regularity