13 citations · 18 across the 21 of their papers we have counts for
5 papers · 1 filter
Approximation of chaotic operators
Geng Tian, Luoyi Shi, Sen Zhu +1
As well-known, the concept "hypercyclic" in operator theory is the same as the concept "transitive" in dynamical system. Now the class of hypercyclic operators is well studied. Fol…
Some dynamical properties for linear operators
Bingzhe Hou, Geng Tian, Luoyi Shi
In our another recent article, we introduce a new dynamical property for linear operators called norm-unimodality which implies distributional chaos. In the present paper, we'll gi…
and are topologically conjugate
Bingzhe Hou, Gongfu Liao, Yang Cao
Let , where is a nonzero complex number, denote a constant-weighted backward shift operators on for . In this article, we investigate, in topolo…
Chaos for Cowen-Douglas operators
Bingzhe Hou, Puyu Cui, Yang Cao
In this article, we provide a sufficient condition which gives Devaney chaos and distributional chaos for Cowen-Douglas operators. In fact, we obtain a distributionally chaotic cri…
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…