Rotation shadowing properties of circle and annulus maps
- 1 December 1988
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 8 (4) , 509-521
- https://doi.org/10.1017/s0143385700004661
Abstract
We define the notions of the pseudo-rotation set and rotation shadowing of pseudo-orbits for endomorphisms of the circle and for homeomorphisms of the annulus. The results include: the rotation shadowing property holds for all endomorphisms of the circle; the pseudo-rotation set equals the closure of the rotation set; the closure of the rotation set varies upper-semicontinuously.Keywords
This publication has 1 reference indexed in Scilit:
- A topological version of a theorem of Mather on twist mapsErgodic Theory and Dynamical Systems, 1984