Birkhoff periodic orbits for twist maps with the graph intersection property

DOI10.1017/S014338570000314XzbMath0589.54050OpenAlexW2100172612MaRDI QIDQ3717831

David Bernstein

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1017/s014338570000314x

zbMATH Keywords

typeinvariant curvesmonotone twist mapsBirkhoff periodic orbitsgraph intersection propertyCantor sets of Aubry-Matherinvariant order- preserving Cantor sets

Mathematics Subject Classification ID

Related Items

Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonian, Stable and unstable manifolds in a zone of instability, Twist maps of the annulus: an abstract point of view, Rotation sets and Morse decompositions in twist maps, Aubry-mather theorem and quasiperiodic orbits for time dependent reversible systems, Quasiperiodic motions in superquadratic time-periodic potentials, Regions of applicability of Aubry-Mather theory for non-convex Hamiltonian

Cites Work

• Unnamed Item
• An Improvement of the Poincare-Birkhoff Fixed Point Theorem