Analytic normal forms and inverse problems for unfoldings of 2-dimensional saddle-nodes with analytic center manifold

C. Rousseau, Loïc Jean Dit Teyssier

We give normal forms for generic k-dimensional parametric families $(Z_{\epsilon }{)}_{\epsilon }$ of germs of holomorphic vector fields near $0\in {\mathbb{C}}^2$ unfolding a saddle-no…