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.
https://hal.archives-ouvertes.fr/hal-00691483
Contributor : Marie-Claude Arnaud <>
Submitted on : Thursday, April 26, 2012 - 12:54:48 PM Last modification on : Tuesday, January 14, 2020 - 10:38:15 AM Long-term archiving on: : Thursday, December 15, 2016 - 1:24:51 AM