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

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

2011-04-26

arxiv.org/abs/1104.4929v1

JOURNAL OF MODERN DYNAMICS 5, 3, 583-591 (2011)

Mathematics

Dynamical Systems

Scientific paper

10.3934/jmd.2011.5.583

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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