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

Patrick Bonckaert; Freek Verstringe

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arXiv · 0802.3801

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

Patrick Bonckaert·Freek Verstringe

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Abstract

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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Patrick Bonckaert, Freek Verstringe. 2008-02-26. On the flat remainder in normal forms of families of analytic planar saddles. https://arxiv.org/abs/0802.3801

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