Normalization and solvability of vector fields near trapped orbits

Meziani, Abdelhamid

doi:10.1090/tran/6741

Normalization and solvability of vector fields near trapped orbits
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Trans. Amer. Math. Soc. 369 (2017), 3325-3354 Request permission

Abstract:

We study the solvability and normalization, in the real analytic and smooth categories, of a class of vector fields in a neighborhood of an invariant torus. The vector fields are supposed to satisfy Siegel type conditions.

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