# Transition maps at non-resonant hyperbolic singularities are o-minimal

@inproceedings{Kaiser2006TransitionMA, title={Transition maps at non-resonant hyperbolic singularities are o-minimal}, author={Tobias Kaiser and Jean-Philippe Rolin and Patrick Speissegger}, year={2006} }

Abstract We construct a model complete and o-minimal expansion of the field of real numbers such that, for any planar analytic vector field ξ and any isolated, non-resonant hyperbolic singularity p of ξ, a transition map for ξ at p is definable in . This expansion also defines all convergent generalized power series with natural support and is polynomially bounded.

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