Linearization of quasiperiodically forced circle flow beyond Brjuno condition
Dynamical Systems
2018-01-17 v1
Abstract
We prove that an analytic quasiperiodically forced circle flow with a not super-Liouvillean base frequency and which is close enough to some constant rotation is rotations reducible, provided its fibered rotation number is Diophantine with respect to the base frequency. As a corollary, we obtain that among such systems, the linearizable ones and those displaying mode-locking are locally dense for the -topology.
Keywords
Cite
@article{arxiv.1609.07284,
title = {Linearization of quasiperiodically forced circle flow beyond Brjuno condition},
author = {Raphael Krikorian and Jing Wang and Jiangong You and Qi Zhou},
journal= {arXiv preprint arXiv:1609.07284},
year = {2018}
}