Twist interval for twist maps
Dynamical Systems
2018-05-29 v1
Abstract
The twist interval of a twist map on the annulus has nonempty interior if preserves the area, but could be degenerate for general twist maps. In this note, we show that if a twist map is non-wandering, then the twist interval of is non-degenerate. Moreover, if there are two disjoint invariant curves of , then their rotation numbers must be different (no matter if they are rational or irrational).
Keywords
Cite
@article{arxiv.1805.11086,
title = {Twist interval for twist maps},
author = {Pengfei Zhang},
journal= {arXiv preprint arXiv:1805.11086},
year = {2018}
}