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

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

2008-02-26

arxiv.org/abs/0802.3801v1

Mathematics

Dynamical Systems

Scientific paper

We 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.

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