8 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…
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…