Linearization of multi-frequency quasi-periodically forced circle flows beyond Brjuno condition
Date
2020-03-12
Authors
Liang, Ziyang
Jin, Taian
Wang, Jiayi
Shan, Yuan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Linearization, Quasi-periodically forced circle flow, Liouvillean frequency
Citation
Liang, 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.
Rights
Attribution 4.0 International