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arXiv · 1204.5893

Boundaries of instability zones for symplectic twist maps

Marie-Claude Arnaud
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Abstract

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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Marie-Claude Arnaud. 2012-04-26. Boundaries of instability zones for symplectic twist maps. https://arxiv.org/abs/1204.5893

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