On the set of points of zero torsion for negative-torsion maps of the annulus

DOI10.3934/jmd.2022017OpenAlexW3007423894MaRDI QIDQ2699500

Anna Florio

Publication date: 26 April 2023

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.11953

zbMATH Keywords

torsiontwist mapasymptotic Maslov index

Mathematics Subject Classification ID

Dynamical aspects of twist maps (37E40) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

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• The periodic orbits of an area preserving twist map
• Lagrangian singularities of invariant tori of Hamiltonian systems with two degrees of freedom
• A variational principle associated to positive tilt maps
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Existence of orbits with non-zero torsion for certain types of surface diffeomorphisms
• Torsion and linking number for a surface diffeomorphism
• Diffusion along transition chains of invariant tori and Aubry–Mather sets
• Propriétés des attracteurs de Birkhoff
• Variational Construction of Orbits of Twist Diffeomorphisms
• The Second Birkhoff Theorem for Optical Hamiltonian Systems
• Differential Topology
• Ensembles de torsion nulle des applications déviant la verticale
• Le type d'homotopie du groupe des difféomorphismes d'une surface compacte
• Diffeomorphisms of the 2-Sphere

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