Linearization of Quasiperiodically Forced Circle Flows Beyond Brjuno Condition
Linearization of Quasiperiodically Forced Circle Flows Beyond Brjuno Condition
复制标题
超出 Brjuno 条件的准周期受迫圆流的线性化
DOI：
10.1007/s00220-017-3021-8
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发表时间：
2018
影响因子：
2.4
通讯作者：
Zhou Qi
中科院分区：
文献类型：
--
作者：
Krikorian Raphael;Wang Jing;You Jiangong;Zhou Qi
本文证明了一个解析的准周期强迫圆流，其基频不是超Liouville的，并且足够接近于某个常数转动，只要其纤维转动数关于基频是丢番图，则它是C ∞转动可约的.作为推论，我们得到在这类系统中，可线性化的系统和锁模的系统对于C ∞-拓扑是局部稠密的.
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 isC∞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 theC∞-topology.