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Non-differentiable irrational curves for $C^1$ twist map
Published online by Cambridge University Press: 02 December 2021
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.
MSC classification
- Type
- Original Article
- Information
- Ergodic Theory and Dynamical Systems , Volume 42 , Issue 2: Anatole Katok Memorial Issue Part 1: Special Issue of Ergodic Theory and Dynamical Systems , February 2022 , pp. 491 - 499
- Copyright
- © The Author(s), 2021. Published by Cambridge University Press