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

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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.
49 pages, 2 figures

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Dynamical Systems, Logic, 37C27, 37E35, 03C64

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http://salesiana.dossiersoluciones.com/handle/123456789/227587

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612745
 http://arxiv.org/abs/math/0612745

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arXiv