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.
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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 | |
Taian Jin Department of Mathematics, School of Science Nanjing University of Science and Technology Nanjing, 210094, China email: 1056418286@qq.com | |
Jiayi Wang Department of Mathematics, School of Science Nanjing University of Science and Technology Nanjing, 210094, China email: 13236582927@163.com | |
Yuan Shan School of Statistics and Mathematics Nanjing Audit University Nanjing 210029, China email: shannjnu@gmail.com |
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