Electron. J. Differential Equations, Vol. 2020 (2020), No. 22, pp. 1-17.
Linearization of multi-frequency quasi-periodically forced circle
flows beyond Brjuno condition
Ziyang Liang, Taian Jin, Jiayi Wang, Yuan Shan
Abstract:
In 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.
Submitted September 4, 2019. Published March 12, 2020.
Math Subject Classifications: 37C15, 34C20.
Key Words: Linearization; quasi-periodically forced circle flow; Liouvillean frequency.
DOI: 10.58997/ejde.2020.22
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Ziyang Liang
Department of Mathematics,
School of Science
Nanjing University of Science and Technology
Nanjing, 210094, China
email: lianggzy98@163.com
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Taian Jin
Department of Mathematics, School of Science
Nanjing University of Science and Technology
Nanjing, 210094, China
email: 1056418286@qq.com
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Jiayi Wang
Department of Mathematics, School of Science
Nanjing University of Science and Technology
Nanjing, 210094, China
email: 13236582927@163.com
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Yuan Shan
School of Statistics and Mathematics
Nanjing Audit University
Nanjing 210029, China
email: shannjnu@gmail.com
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