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Preprint Number 40
40. Tobias Kaiser, Jean-Philippe Rolin and Patrick Speissegger
Transition maps at non-resonant hyperbolic singularities are o-minimal
Submission date: 23 December 2006
We construct a model complete and o-minimal expansion of the field of real numbers such that, for any planar analytic vector field X and any isolated, non-resonant hyperbolic singularity p of X, a transition map for X at p is definable in this structure. This structure also defines all convergent generalized power series with natural support and is polynomially bounded.
Mathematics Subject Classification: 37C27, 37E35, 03C64
Keywords and phrases: Dynamical Systems; Logic
Full text: arXiv.
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