Twist maps of the annulus: an abstract point of view

DOI10.1134/s1560354723510019arXiv2210.11110MaRDI QIDQ6069616

Patrice Le Calvez

Publication date: 14 November 2023

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.11110

zbMATH Keywords

periodic orbitregion of instabilityBirkhoff theorypositive twist map

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75) Dynamical aspects of twist maps (37E40)

Cites Work

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• Torsion of instability zones for conservative twist maps on the annulus
• A finite dimensional proof of a result of Hutchings about irrational pseudo-rotations

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