A construction of almost automorphic minimal sets
A construction of almost automorphic minimal sets
复制标题
几乎自守最小集的构造
DOI：
10.1007/s11856-014-1102-3
复制
发表时间：
2014
影响因子：
1
通讯作者：
T. Jäger
中科院分区：
文献类型：
--
作者：
R. Hric;T. Jäger
我们描述了一种通过将可数个单点炸成垂直线段来构造具有一维纤维的给定的斜积映射的拓扑扩张的一般方法。这允许产生各种不寻常的动力学例子，包括几乎周期性强迫系统的几乎自同构极小集、环面的点远端但非远端同胚(如Rees首先构造的)或拟周期性强迫区间映射的未填充的极小集。
We describe a general procedure to construct topological extensions of given skew product maps with one-dimensional fibres by blowing up a countable number of single points to vertical segments. This allows to produce various examples of unusual dynamics, including almost automorphic minimal sets of almost periodically forced systems, point-distal but non-distal homeomorphisms of the torus (as first constructed by Rees) or minimal sets of quasiperiodically forced interval maps which are not filled-in.
影响因子：
2.4
作者：
Kristian Bjerklöv
通讯作者：
Kristian Bjerklöv