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arXiv · 1104.4929

A non-differentiable essential irrational invariant curve for a $C^1$ symplectic twist map

Marie-Claude Arnaud
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Abstract

We construct a $C^1$ symplectic twist map f of the annulus that has an essential invariant curve C such that: --C is not differentiable; -- the dynamic of f restricted to C is conjugated to the one of a Denjoy counter-example.

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Marie-Claude Arnaud. 2011-04-26. A non-differentiable essential irrational invariant curve for a $C^1$ symplectic twist map. https://doi.org/10.3934/jmd.2011.5.583

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