Non-differentiable irrational curves for twist map

We construct a $C^1$ symplectic twist map g of the annulus that has an essential invariant curve $\Gamma $ such that $\Gamma $ is not differentiable and g restricted to $\Gamma $ is minimal.

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Bibliographic Details
Published in:Ergodic theory and dynamical systems 2022-02, Vol.42 (2), p.491-499
Main Authors: AVILA, ARTUR, FAYAD, BASSAM
Format: Article
Language:English
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Description
Summary:We construct a $C^1$ symplectic twist map g of the annulus that has an essential invariant curve $\Gamma $ such that $\Gamma $ is not differentiable and g restricted to $\Gamma $ is minimal.
ISSN:0143-3857
1469-4417
DOI:10.1017/etds.2021.117