7 papers · 1 filter
Devaney chaos in a Two-Dimensional Space with Weak Topology
Hongbo Zeng
It is well known that a finite-dimensional linear system cannot be chaotic. In this article, it shows that Devaney chaos with the weak topology can be generated by a linear map, wh…
--sensitivity and other stronger forms of sensitivity in dynamical systems
Hongbo Zeng
In this paper, we investigate the relationships between the --sensitivity and other forms of sensitivity in discrete dynamical systems. And we present some different sufficie…
Several stronger forms of transitivity in non-autonomous discrete dynamical systems
Hongbo Zeng
In this paper, we introduce and study the notions of -mixing, -transitivity, mildly mixing, strong multi-transitivity and multi-transitivity with respect to a vector in non-a…
A note on multi-transitivity in non-autonomous discrete systems
Hongbo Zeng
This paper is concerned with some stronger forms of transitivity in non-autonomous discrete systems generated by a uniformly convergent sequence of continuous self…
Sensitivity, transitivity and chaos in non-autonomous discrete systems
Hongbo Zeng
In this paper, we study properties of sensitivity, transitivity and chaos for non-autonomous discrete systems(NDS). Firstly, we present some different sufficient conditions for NDS…
Mixing, Li-Yorke chaos, distributional chaos and Kato's chaos to multiple mappings
Hongbo Zeng
Let be a compact metric space and be an -tuple of continuous maps from to itself. In this paper, we introduce the definitions of transitivity…
Iteration problem for several chaos in non-autonomous discrete system
Hongbo Zeng, Chuangxia Huang, Bingwen Liu
In this paper we investigate the iteration problem for several chaos in non-autonomous discrete system. Firstly, we prove that the Li-Yorke chaos of a non-autonomous discrete dynam…