activity
20242026
collaborators

6 papers

math.DS2026

--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…

math.DS2025

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…

math.DS2025

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…

math.DS2024

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…

math.DS2024

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…

math.DS2024

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…