Local conjugacy classes for analytic torus flows
classification
🧮 math.DS
keywords
vectorlinearrotationtorusanalyticanalyticallyarithmeticalattracts
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.