Pré-Publication, Document De Travail Année : 2021

Non-differentiable irrational curves for $C^1$ twist map

Résumé

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.

Dates et versions

hal-03456728 , version 1 (30-11-2021)

Identifiants

Citer

Bassam Fayad, Artur Avila. Non-differentiable irrational curves for $C^1$ twist map. 2021. ⟨hal-03456728⟩
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