On the flat remainder in normal forms of families of analytic planar saddles

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155690We give an explicit expression for the (finitely) flat remainder after analytic normal form reduction of a family of planar saddles of diffeomorphisms or vector fields. We distinguish between a rational or irrational ratio of the moduli of the eigenvalues at the saddle for a certain value of the parameter.Dynamical SystemsClassical Analysis and ODEs37c15On the flat remainder in normal forms of families of analytic planar saddlestext