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arXiv · 1609.07284

Linearization of quasiperiodically forced circle flow beyond Brjuno condition

Raphael Krikorian·Jing Wang·Jiangong You·Qi Zhou
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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 $C^{\infty}$ 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 $C^\infty$-topology.

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Raphael Krikorian, Jing Wang, Jiangong You, Qi Zhou. 2016-09-23. Linearization of quasiperiodically forced circle flow beyond Brjuno condition. https://doi.org/10.1007/s00220-017-3021-8

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