We extend to power-log transseries several classical results from the theory of analytic dynamical systems. In particular, given such a transseries, we study the existence of fractional iterates, normal forms and normalizing coordinates. We apply these results to Dulac's maps, for which we address the question of the characterization of the dynamical system by a single orbit.J

Joint work with P. Mardesic, M. Resman and V. Zupanovic