Quasi-analytic solutions of analytic ordinary differential equations and o-minimal structures
Quasi-analytic solutions of analytic ordinary differential equations and o-minimal structures
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 of whether the same statement is true for non-oscillating trajectories of real analytic vector fields. We show, under certain assumptions, that such a trajectory …