论文标题

部分可观测时空混沌系统的无模型预测

Topologically Conjugate Classifications of the Translation Actions on Compact Connected Lie Groups ${\rm SU}(2) \times T^n$

论文作者

Pan, Xiaotian, Hou, Bingzhe

论文摘要

在本文中,我们将重点放在左侧(翻译)动作上,对非交通紧凑的连接谎言组$ {\ rm su}(2)\ times t^n $。我们定义由$ {\ rm su}(2)\ times t^n $的元素引起的左动作的旋转向量,并利用旋转向量使完整的拓扑结合左动作分类。还考虑了代数共轭和平滑共轭。

In this article, we focus on the left (translation) actions on noncommutative compact connected Lie groups ${\rm SU}(2) \times T^n$. We define the rotation vectors of the left actions induced by the elements in the maximal tori of ${\rm SU}(2) \times T^n$, and utilize rotation vectors to give the complete topologically conjugate classifications of left actions. Algebraic conjugacy and smooth conjugacy are also considered.

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