2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61593We study the behavior of diffeomorphisms, contained in the closure $\bar {\A_\a}$ (in the inductive limit topology) of the set $\A_\a$ of real-analytic diffeomorphisms of the torus $\Bbb T^2$, conjugated to the rotation $R_\a:(x,y)\mapsto (x + \a, y)$ by an analytic measure-preserving transformation. We show that for a generic $\a\in [0,1]$, $\bar {\A_\a}$ contains a dense set of uniquely ergodic diffeomorphisms. We also prove that $\bar {\A_\a}$ contains a dense set of diffeomorphisms that are minimal and non-ergodic.New corrected versionDynamical Systems37A25; 37J40; 37A05text