Publications > Preprint server > Preprint Number 40
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 Abstract: 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.
|
Last updated: March 23 2021 09:22 | Please send your corrections to: |