Non-differentiable irrational curves for twist map

DOI10.1017/etds.2021.117zbMath1490.37057arXiv1909.13556OpenAlexW4200481137WikidataQ114119013 ScholiaQ114119013MaRDI QIDQ5021948

Bassam Fayad, Artur Avila

Publication date: 17 January 2022

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.13556

zbMATH Keywords

invariant curvestwist mapsBirkhoff theory

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamical aspects of twist maps (37E40) Symplectic and canonical mappings (37J11)

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On the accumulation of separatrices by invariant circles

Cites Work

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• A nondifferentiable essential irrational invariant curve for a \(C^1\) symplectic twist map
• Three results on the regularity of the curves that are invariant by an exact symplectic twist map
• Boundaries of instability zones for symplectic twist maps

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