2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173306We obtain a new characterization for irrational numbers of constant type -- defined as irrationals with bounded partial quotients in their continued fraction expansion. The result is essential in the formulation of stability criteria for orbits of quantum twist maps in a class of dynamical systems.7 pages, AMS-LaTeX, with changes in referencesMathematical Physicstext