论文标题
轨道紧密,以缓慢混合动力学系统
Orbits closeness for slowly mixing dynamical systems
论文作者
论文摘要
考虑到一个动态系统,我们证明,即使系统具有缓慢的混合属性,两个$ n $ orbits尺度(例如$ n $)之间的最短距离,从而构建和改善了Barros,Liao和第一作者的结果。我们还将这些结果扩展到流。最后,我们举了一个示例,两个轨道之间的最短距离没有缩放限制。
Given a dynamical system, we prove that the shortest distance between two $n$-orbits scales like $n$ to a power even when the system has slow mixing properties, thus building and improving on results of Barros, Liao and the first author. We also extend these results to flows. Finally, we give an example for which the shortest distance between two orbits has no scaling limit.