Linearization of Quasiperiodically Forced Circle Flows Beyond Brjuno Condition

被引：21

作者：

Krikorian, Raphael ^{[1
]}

Wang, Jing ^{[2
]}

You, Jiangong ^{[3
,4
]}

Zhou, Qi ^{[5
]}

机构：

[1] Univ Cergy Pontoise, Dept Math, CNRS, UMR 8088, 2 Av Adolphe Chauvin, F-95302 Cergy Pontoise, France

[2] Nanjing Univ Sci & Technol, Dept Math, Nanjing 210094, Jiangsu, Peoples R China

[3] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

[4] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[5] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2018年 / 358卷 / 01期

关键词：

CANTOR SPECTRUM; REDUCIBILITY; DIFFEOMORPHISMS; COCYCLES; EQUATION; SYSTEMS;

D O I：

10.1007/s00220-017-3021-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that an analytic quasiperiodically forced circle flow with a not super-Liouvillean base frequency and which is close enough to some constant rotation is C (a) rotations reducible, provided its fibered rotation number is Diophantine with respect to the base frequency. As a corollary, we obtain that among such systems, the linearizable ones and those displaying mode-locking are locally dense for the C (a)-topology.

引用

页码：81 / 100

页数：20

共 30 条

[1] Linearization of Quasiperiodically Forced Circle Flows Beyond Brjuno Condition
Raphaël Krikorian
Jing Wang
Jiangong You
Qi Zhou
[J]. Communications in Mathematical Physics, 2018, 358 : 81 - 100
[2] Linearization of ultra-differentiable circle flows beyond Brjuno condition
Cheng, Hongyu
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[3] LINEARIZATION OF MULTI-FREQUENCY QUASI-PERIODICALLY FORCED CIRCLE FLOWS BEYOND BRJUNO CONDITION
Liang, Ziyang
Jin, Taian
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[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
[4] Linearization of Quasi-Periodically Forced Circle Flows Beyond Multi-Dimensional Brjuno Frequency
Hongyu Cheng
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[5] Linearization of Quasi-Periodically Forced Circle Flows Beyond Multi-Dimensional Brjuno Frequency
Cheng, Hongyu
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 34 (03) : 1877 - 1894
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[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2006, 15 (02) : 641 - 656
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