Boundaries of instability zones for symplectic twist maps
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 dynamics of f restricted to C is conjugated to the one of a Denjoy counter-example; - C is at the boundary of an instability zone for f.
Keywords
Cite
@article{arxiv.1204.5893,
title = {Boundaries of instability zones for symplectic twist maps},
author = {Marie-Claude Arnaud},
journal= {arXiv preprint arXiv:1204.5893},
year = {2012}
}