Some extensions of the Poincaré–Birkhoff theorem to the cylinder and a remark on mappings of the torus homotopic to Dehn twists

DOI10.1088/0951-7715/18/5/018zbMath1084.37019OpenAlexW2102317347MaRDI QIDQ5704351

Publication date: 14 November 2005

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/18/5/018

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45)

Related Items (8)

Transitivity and the existence of horseshoes on the 2-torus ⋮ Dynamics of homeomorphisms of the torus homotopic to Dehn twists ⋮ Area-preserving diffeomorphisms of the torus whose rotation sets have non-empty interior ⋮ Transitivity of generic semigroups of area-preserving surface diffeomorphisms ⋮ Free lines for homeomorphisms of the open annulus ⋮ On the dynamics of homology-preserving homeomorphisms of the annulus ⋮ Prime ends rotation numbers and periodic points ⋮ Homoclinic orbits for area preserving diffeomorphisms of surfaces

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