20 citations · 55 across the 11 of their papers we have counts for
11 papers
Topological entropy of nonautonomous dynamical systems on uniform spaces
Hua Shao
In this paper, we focus on some properties, calculations and estimations of topological entropy for a nonautonomous dynamical system generated by a sequence of c…
Induced dynamics of non-autonomous dynamical systems
Hua Shao
Let be a sequence of continuous self-maps on a compact metric space . The non-autonomous dynamical system induces the se…
Dynamics of continuous maps induced on the space of probability measures
Hua Shao, Hao Zhu, Guanrong Chen
For a continuous self-map on a compact interval and the induced map on the space of probability measures, we obtain a sharp condition to guarantee…
Some criteria of chaos in non-autonomous discrete systems
Hua Shao, Guanrong Chen, Yuming Shi
This paper establishes some criteria of chaos in non-autonomous discrete systems. Several criteria of strong Li-Yorke chaos are given. Based on these results, some criteria of dist…
Topological conjugacy between induced non-autonomous set-valued systems and subshifts of finite type
Hua Shao, Guanrong Chen, Yuming Shi
This paper establishes topological (equi-)semiconjugacy and (equi-)conjugacy between induced non-autonomous set-valued systems and subshifts of finite type. First, some necessary a…
On distributional chaos in non-autonomous discrete systems
Hua Shao, Yuming Shi, Hao Zhu
This paper studies distributional chaos in non-autonomous discrete systems generated by given sequences of maps in metric spaces. In the case that the metric space is compact, it i…
Weakly mixing, topologically weakly mixing, and sensitivity for non-autonomous discrete systems
Hua Shao, Yuming Shi, Hao Zhu
This paper is concerned with relationships of weakly mixing, topologically weakly mixing, and sensitivity for non-autonomous discrete systems. It is shown that weakly mixing implie…
Lyapunov exponents, sensitivity, and stability for non-autonomous discrete systems
Hua Shao, Yuming Shi, Hao Zhu
This paper is concerned with relationships of Lyapunov exponents with sensitivity and stability for non-autonomous discrete systems. Some new concepts are introduced for non-autono…
Devaney chaos in non-autonomous discrete systems
Hao Zhu, Yuming Shi, Hua Shao
This paper is concerned with Devaney chaos in non-autonomous discrete systems. It is shown that in its definition, the two former conditions, i.e., transitivity and density of peri…
Strong Li-Yorke chaos for time-varying discrete dynamical systems with A-coupled-expansion
Hua Shao, Yuming Shi, Hao Zhu
This paper is concerned with strong Li-Yorke chaos induced by A-coupled-expansion for time-varying (i.e., nonautonomous) discrete systems in metric spaces. Some criteria of chaos i…
Estimations of topological entropy for non-autonomous discrete systems
Hua Shao, Yuming Shi, Hao Zhu
In this paper, an estimation of lower bound of topological entropy for coupled-expanding systems associated with transition matrices in compact Hausdorff spaces is given. Estimatio…