2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227587We construct a model complete and o-minimal expansion of the field of real numbers such that, for any planar analytic vector field X and any isolated, non-resonant hyperbolic singularity p of X, a transition map for X at p is definable in this structure. This structure also defines all convergent generalized power series with natural support and is polynomially bounded.49 pages, 2 figuresDynamical SystemsLogic37C27, 37E35, 03C64text