Torsion of instability zones for conservative twist maps on the annulus

DOI10.1088/1361-6544/abbe63zbMath1460.37042arXiv2006.04447OpenAlexW3125369707MaRDI QIDQ5147947

Patrice Le Calvez, Anna Florio

Publication date: 29 January 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.04447

zbMATH Keywords

torsiontwist mapconservative twist map

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75) Dynamical aspects of twist maps (37E40)

Related Items (2)

Actions of symplectic homeomorphisms/diffeomorphisms on foliations by curves in dimension 2 ⋮ Twist maps of the annulus: an abstract point of view

Cites Work

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• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• A necessary and sufficient condition for a twist map being integrable
• Existence of orbits with non-zero torsion for certain types of surface diffeomorphisms
• Tonelli Hamiltonians without conjugate points and \(C^0\) integrability
• Torsion and linking number for a surface diffeomorphism
• Foundations of Ergodic Theory
• Hyperbolicity for conservative twist maps of the 2-dimensional annulus

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