Local conjugacy classes for analytic torus flows
Dynamical Systems
2007-11-16 v1
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.
Keywords
Cite
@article{arxiv.0711.2391,
title = {Local conjugacy classes for analytic torus flows},
author = {Joao Lopes Dias},
journal= {arXiv preprint arXiv:0711.2391},
year = {2007}
}
Comments
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