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Non-differentiable irrational curves for C1 twist map

Artur Avila,Bassam Fayad

ERGODIC THEORY AND DYNAMICAL SYSTEMS（2022）

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Abstract
We construct a C-1 symplectic twist map g of the annulus that has an essential invariant curve Gamma such that Gamma is not differentiable and g restricted to Gamma is minimal.
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Key words
twist maps,invariant curves,Birkhoff theory
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