2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65707We obtain center conditions for a $O$-symmetric system of degree 5 for which the origin is a uniformly isochronous singular point. In the revised paper some misprints are corrected in the reference list.9 pages, 0 figures, LaTeX 2.09Dynamical Systems34C05text