Hyperbolic sets for twist maps
- 19 September 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 5 (3) , 337-339
- https://doi.org/10.1017/s0143385700002996
Abstract
An example is given of an area-preserving monotone twist map such that a uniformly hyperbolic structure exists on the closure of its Birkhoff maximizing orbits.Keywords
This publication has 3 references indexed in Scilit:
- The twist map, the extended Frenkel-Kontorova model and the devil's staircasePhysica D: Nonlinear Phenomena, 1983
- Some remarks on Birkhoff and Mather twist map theoremsErgodic Theory and Dynamical Systems, 1982
- Existence of quasi-periodic orbits for twist homeomorphisms of the annulusTopology, 1982