2026-05-05T12:32:53Zhttps://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/681742024-12-03T14:45:18Zcom_10324_1129com_10324_931com_10324_894col_10324_1193
Trajectories in interlaced integral pencils of 3-dimensional analytic vector fields are o-minimal
Le Gal, Olivier
Sanz Sánchez, Fernando
Speissegger, Patrick
Let ξ be an analytic vector field at (R3, 0) and I be an analytically
non-oscillatory integral pencil of ξ; i.e., I is a maximal family of analytically
non-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 expansion
Ran,Γ of the structure Ran by Γ is model-complete, o-minimal and polynomially
bounded.
2024-06-21
2024-06-21
2017
info:eu-repo/semantics/article
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 370, Number 3, March 2018, Pages 2211–2229
0002-9947
https://uvadoc.uva.es/handle/10324/68174
10.1090/tran/7205
2211
3
2229
Transactions of the American Mathematical Society
370
1088-6850
spa
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribution-NonCommercial-NoDerivatives 4.0 Internacional