13 citations · 18 across the 21 of their papers we have counts for
5 papers · 1 filter
Topologically Conjugate Classifications of the Translation Actions on Compact Connected Lie Groups
Xiaotian Pan, Bingzhe Hou
In this article, we focus on the left (translation) actions on noncommutative compact connected Lie groups . We define the rotation vectors of the left acti…
Topologically conjugate classifications of the translation actions on low-dimensional compact connected Lie groups
Xiaotian Pan, Bingzhe Hou
In this article, we focus on the left translation actions on noncommutative compact connected Lie groups with topological dimension 3 or 4, consisting of ${\rm SU}(2),\,{\rm U}(2),…
Li-Yorke chaos for invertible mappings on compact metric spaces
Lvlin Luo, Bingzhe Hou
In this paper, we construct a homeomorphism on the unit closed disk to show that an invertible mapping on a compact metric space is Li-Yorke chaotic does not imply its inverse bein…
Entropy of a semigroup of maps from a set-valued view
Bingzhe Hou, Xu Wang
In this paper, we introduce a new entropy-like invariant, named Hausdorff metric entropy, for finitely generated semigroups acting on compact metric spaces from a set-valued view a…
Difference between Devaney chaos associated with two systems
Bingzhe Hou, Xianfeng Ma, Gongfu Liao
We discuss the relation between Devaney chaos in the base system and Devaney chaos in its induced hyperspace system. We show that the latter need not imply the former. We also argu…