Boundaries of instability zones for symplectic twist maps

DOI10.1017/S1474748013000029zbMath1290.37024arXiv1204.5893MaRDI QIDQ5396093

Marie-Claude Arnaud

Publication date: 5 February 2014

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5893

zbMATH Keywords

invariant curvestwist mapsinstability zoneDenjoy counter-example

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamical aspects of twist maps (37E40)

Related Items (4)

The stable norm on the 2-torus at irrational directions ⋮ The non-hyperbolicity of irrational invariant curves for twist maps and all that follows ⋮ Non-differentiable irrational curves for twist map ⋮ On the accumulation of separatrices by invariant circles

Cites Work

• Unnamed Item
• A nondifferentiable essential irrational invariant curve for a \(C^1\) symplectic twist map
• Connecting invariant manifolds and the solution of the \(C^ 1\) stability and \(\Omega\)-stability conjectures for flows
• Converse KAM: theory and practice
• Propriétés dynamiques des régions d'instabilité
• Differential Topology
• Generic Properties of Conservative Systems
• Dynamiques symplectiques génériques

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