2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142195If a real-analytic flow on the multidimensional torus close enough to linear has a unique rotation vector which satisfies an arithmetical condition Y, then it is analytically conjugate to linear. We show this by proving that the orbit under renormalization of a constant Y vector field attracts all nearby orbits with the same rotation vector.inc biblDynamical SystemsLocal conjugacy classes for analytic torus flowstext