Hongbo Zeng

collaborators

4 papers

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 $Δ$ -mixing, $Δ$ -transitivity, mildly mixing, strong multi-transitivity and multi-transitivity with respect to a vector in non-a…

math.DS2025

Sensitivity and transitivity for the induced maps on symmetric product suspensions of a topological space

Hongbo Zeng

Given a nondegenerate compact perfect and Hausdorff topological space $X$ , $n \in N$ and a function $f : X \to X$ , we consider the $n$ -fold symmetric product of $X$ , $F…

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 $(f_{1, \infty})$ generated by a uniformly convergent sequence of continuous self…

math.DS2024

Mixing, Li-Yorke chaos, distributional chaos and Kato's chaos to multiple mappings

Hongbo Zeng

Let $(X, d)$ be a compact metric space and $F = {f_{1}, f_{2}, ..., f_{m}}$ be an $m$ -tuple of continuous maps from $X$ to itself. In this paper, we introduce the definitions of transitivity…