2 papers
math.DS2006
Transition maps at non-resonant hyperbolic singularities are o-minimal
Tobias Kaiser, Jean-Philippe Rolin, Patrick Speissegger
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 singu…
math.CA2005
Quasianalytic solutions of differential equations and o-minimal structures
J. -P. Rolin, F. Sanz, R. Schaefke
It is well known that the non-spiraling leaves of real analytic foliations of codimension 1 all belong to the same o-minimal structure. Naturally, the question arises if the same s…