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
Contributeur : Marie-Claude Arnaud
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Soumis le : jeudi 26 avril 2012 - 12:54:48
Dernière modification le : vendredi 26 janvier 2018 - 11:06:09
Document(s) archivé(s) le : jeudi 15 décembre 2016 - 01:24:51
