This article deals with two problems related with germs of foliations induced by real–analytic vector fields in \((\mathbb {R} ^2,0)\) having singularity at 0 of order n, \(n\ge 2\) . We will denote this class of vector fields by \(\mathcal {A}_n\) . The goal of the first problem is to obtain a set of real–analytic invariants, called real–analytic Thom’s invariants, that allow us to achieve the real–analytic classification of vector fields satisfying genericity assumptions in a subclass \(\mathcal {A}^0_n\) of \(\mathcal {A}_n\) . The second problem we deal with is called the realization problem, which consists in constructing a real analytic vector field having as real–analytic invariants a suitable group G of conformal mappings and a collection \(\{\alpha _{ij}\}\) of \((n-3)(n-2)/2\) real constants that are given in advance.
