Liang, ZiyangJin, TaianWang, JiayiShan, Yuan2021-09-212021-09-212020-03-12Liang, Z., Jin, T., Wang, J., & Shan, Y. (2020). Linearization of multi-frequency quasi-periodically forced circle flows beyond Brjuno condition. <i>Electronic Journal of Differential Equations, 2020</i>(22), pp. 1-17.1072-6691https://hdl.handle.net/10877/14526In this article, we considered the linearization of analytic quasi-periodically forced circle flows. We generalized the rotational linearization of systems with two-dimensional base frequency to systems with any finite dimensional base frequency case. Meanwhile, we relaxed the arithmetical limitations on the base frequencies. Our proof is based on a generalized Kolmogorov–Arnold–Moser (KAM) scheme.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalLinearizationQuasi-periodically forced circle flowLiouvillean frequencyArticle