2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59710Class of Newtonian dynamical systems admitting normal blow-up of points in Riemannian manifolds is considered. Geometric interpretation for weak normality condition, which arose earlier in the theory of dynamical systems admitting the normal shift of hypersurfaces, is found.AmSTeX, 16 pages, amsppt styleDifferential GeometryDynamical Systems53B20Newtonian dynamical systems admitting normal blow-up of pointstext