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Journal Articles J. Inst. Math. Jussieu Year : 2014

Boundaries of instability zones for symplectic twist maps

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.
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Dates and versions

hal-00691483 , version 1 (26-04-2012)

Identifiers

  • HAL Id : hal-00691483 , version 1

Cite

Marie-Claude Arnaud. Boundaries of instability zones for symplectic twist maps. J. Inst. Math. Jussieu, 2014, 13 (1), pp.19-41. ⟨hal-00691483⟩
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