2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136703In this paper we show that, if an integrable Hamiltonian system admits a nondegenerate hyperbolic singularity then it will satisfy the Kolmogorov condegeneracy condition near that singularity (under a mild additional condition, which is trivial if the singularity contains a fixed point)revised version, 11p, accepted for publication in a sepecial volume in Regular and Chaotic Dynamics in honor of Richard CushmanDynamical Systems58F14, 58F07, 58F05, 70H05text