Solitary trajectories of analytic vector fields

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Solitary trajectories of analytic vector fields

Le Gal, O.

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 10/2019, Volume: 113, Issue: 4

Journal Article

A trajectory γ of an analytic vector fields ξ is said to be solitary, if γ is asymptotic to a formal curve and can be isolated from any other trajectory of ξ by a finite sequence of point centered blow ups. We prove that the collection of all solitary trajectories generates a polynomially bounded o-minimal structure.

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