A non-differentiable essential irrational invariant curve for a $C^1$ symplectic twist map
Dynamical Systems
2012-04-27 v1
Abstract
We construct a 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.
Keywords
Cite
@article{arxiv.1104.4929,
title = {A non-differentiable essential irrational invariant curve for a $C^1$ symplectic twist map},
author = {Marie-Claude Arnaud},
journal= {arXiv preprint arXiv:1104.4929},
year = {2012}
}