# Some criteria of chaos in non-autonomous discrete systems

## TL;DR

This paper develops new criteria for chaos in non-autonomous discrete systems, extending existing results for autonomous systems and relaxing assumptions, with applications to Li-Yorke and distributional chaos.

## Contribution

It introduces novel criteria for chaos in non-autonomous systems, broadening the theoretical understanding and applicability compared to prior autonomous system results.

## Key findings

- Criteria for strong Li-Yorke chaos established
- Distributional chaos criteria in sequences derived
- Conditions for chaos induced by coupled-expansion identified

## Abstract

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 distributional chaos in a sequence are established. Moreover, several criteria of distributional chaos induced by coupled-expansion for an irreducible transition matrix are obtained. Some of these results not only extend the existing related results for autonomous discrete systems to non-autonomous discrete systems, but also relax the assumptions of the counterparts. One example is provided for illustration.