Boundaries of instability zones for symplectic twist maps

Details Boundaries of instability zones for symplectic twist maps Boundaries of instability zones for symplectic twist maps

2012-04-26

arxiv.org/abs/1204.5893v1

Mathematics

Dynamical Systems

Scientific paper

We construct a $C^2$ 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.

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