Hongbo Zeng

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20242026

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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 $(X, d)$ 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…

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…