Linearization of multi-frequency quasi-periodically forced circle flows beyond Brjuno condition
| dc.contributor.author | Liang, Ziyang | |
| dc.contributor.author | Jin, Taian | |
| dc.contributor.author | Wang, Jiayi | |
| dc.contributor.author | Shan, Yuan | |
| dc.date.accessioned | 2021-09-21T19:38:28Z | |
| dc.date.available | 2021-09-21T19:38:28Z | |
| dc.date.issued | 2020-03-12 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14526 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Linearization | |
| dc.subject | Quasi-periodically forced circle flow | |
| dc.subject | Liouvillean frequency | |
| dc.title | Linearization of multi-frequency quasi-periodically forced circle flows beyond Brjuno condition | |
| dc.type | Article |