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Licensed Unlicensed Requires Authentication Published by De Gruyter October 12, 2009

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

  • T. Kaiser , J.-P. Rolin and P. Speissegger
From the journal


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.

Received: 2007-01-01
Revised: 2007-05-01
Published Online: 2009-10-12
Published in Print: 2009-November

© Walter de Gruyter Berlin · New York 2009

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