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Boundaries of instability zones for symplectic twist maps
| Content Provider | Hyper Articles en Ligne (HAL) |
|---|---|
| Author | Arnaud, Marie-Claude |
| Copyright Year | 2014 |
| 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. |
| Related Links | https://hal.science/hal-00691483/file/Boundariesinstabilityzones.pdf |
| Issue Number | 1 |
| Volume Number | 13 |
| Journal | J. Inst. Math. Jussieu |
| Language | English |
| Publisher | HAL CCSD |
| Publisher Date | 2014-01-01 |
| Access Restriction | Open |
| Subject Keyword | instability zones invariant curves Denjoy counter-example twist maps |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |