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

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dc.creatorKaiser, Tobias
dc.creatorRolin, Jean-Philippe
dc.creatorSpeissegger, Patrick
dc.date2006-12-23
dc.date2009-04-20
dc.date.accessioned2026-07-07T13:05:45Z
dc.date.available2026-07-07T13:05:45Z
dc.descriptionWe 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.
dc.description49 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0612745
dc.identifierhttp://arxiv.org/abs/math/0612745
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227587
dc.subjectDynamical Systems
dc.subjectLogic
dc.subject37C27, 37E35, 03C64
dc.titleTransition maps at non-resonant hyperbolic singularities are o-minimal
dc.typetext

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