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| Detailed view | Article in peer-reviewed journal |
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| JOURNAL OF MODERN DYNAMICS 5, 3 (2011) 583-591 |
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| A non-differentiable essential irrational invariant curve for a $C^1$ symplectic twist map |
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| Marie-Claude Arnaud1 |
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| We construct a $C^1$ symplectic twist map f of the annulus that has an essential invariant curve C such that: --C is not differentiable; -- the dynamic of f restricted to C is conjugated to the one of a Denjoy counter-example. |
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| 1: | LANLG - Laboratoire d'Analyse non linéaire et Géométrie |
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| twist maps – invariant curves – Denjoy counter-examples |
| hal-00588781, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00588781 | |
| oai:hal.archives-ouvertes.fr:hal-00588781 | |
| From: Marie-Claude Arnaud | |
| Submitted on: Tuesday, 26 April 2011 14:59:36 | |
| Updated on: Thursday, 26 April 2012 13:00:52 | |
