Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613080 | Journal of Differential Equations | 2008 | 22 Pages |
Abstract
If 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.
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