  In this work, we consider germs of analytic singular vector elds in (C^3,0)
with an isolated and doubly-resonant singularity of saddle-node type at the
origin. Such vector elds come from irregular two-dimensional dierential systems
with two opposite non-zero eigenvalues, and appear for instance when studying
the irregular singularity at innity in Painlev{\'e} equations (P j) j=I,...,V
for generic values of the parameters. Under suitable assumptions, we prove a
theorem of analytic normalization over sectorial domains, analogous to the
classical one due to Hukuhara-Kimura-Matuda for saddle-nodes in (C^2,0). We
also prove that these maps are in fact the Gevrey-1 sums of the formal
normalizing map, the existence of which has been proved in a previous paper.
Finally we provide an analytic classication under the action of bered
dieomorphisms, based on the study of the so-called Stokes dieomorphisms
obtained by comparing consecutive sectorial normalizing maps {\`a} la
Martinet-Ramis / Stolovitch for 1-resonant vector fields.
