English

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

Dynamical Systems 2019-10-01 v1

Abstract

We construct a C1C^1 symplectic twist map gg of the annulus that has an essential invariant curve Γ\Gamma such that Γ\Gamma is not differentiable and gg restricted to Γ\Gamma is minimal.

Keywords

Cite

@article{arxiv.1909.13556,
  title  = {Non-differentiable irrational curves for $C^1$ twist map},
  author = {Artur Avila and Bassam Fayad},
  journal= {arXiv preprint arXiv:1909.13556},
  year   = {2019}
}
R2 v1 2026-06-23T11:29:57.985Z