Non-differentiable irrational curves for twist map
Authors:
- 2 December 2021
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 42 (2) , 491-499
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
All Related Versions
This publication has 4 references indexed in Scilit:
- Boundaries of instability zones for symplectic twist mapsJournal of the Institute of Mathematics of Jussieu, 2013
- A nondifferentiable essential irrational invariant curve for a $C^1$ symplectic twist mapJournal of Modern Dynamics, 2011
- Three results on the regularity of the curves that are invariant by an exact symplectic twist mapPublications mathématiques de l'IHÉS, 2009
- Surface transformations and their dynamical applicationsActa Mathematica, 1922