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Non-differentiable irrational curves for $C^1$ twist map

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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… Click to show full abstract

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.

Keywords: non differentiable; differentiable irrational; curves twist; gamma; irrational curves; twist map

Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2021

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