RT info:eu-repo/semantics/article
T1 Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal
A1 Le Gal, Olivier
A1 Sanz, Fernando
A1 Speissegger, Patrick
K1 Ordinary differential equations, o-minimal structures, multisummable series, Stokes phenomena.
AB Let ξ be an analytic vector field at (R3, 0) and I be an analyticallynon-oscillatory integral pencil of ξ; i.e., I is a maximal family of analyticallynon-oscillatory trajectories of ξ at 0 all sharing the same iterated tangents.We prove that if I is interlaced, then for any trajectory Γ ∈ I, the expansionRan,Γ of the structure Ran by Γ is model-complete, o-minimal and polynomiallybounded.
SN 0002-9947
YR 2017
FD 2017
LK https://uvadoc.uva.es/handle/10324/68174
UL https://uvadoc.uva.es/handle/10324/68174
LA spa
NO TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 370, Number 3, March 2018, Pages 2211–2229
DS UVaDOC
RD 22-nov-2024