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arXiv · 0711.2391

Local conjugacy classes for analytic torus flows

Joao Lopes Dias
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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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Joao Lopes Dias. 2007-11-15. Local conjugacy classes for analytic torus flows. https://arxiv.org/abs/0711.2391

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