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This paper establishes some criteria of chaos in non-autonomous discretesystems. Several criteria of strong Li-Yorke chaos are given. Based on theseresults, some criteria of distributional chaos in a sequence are established.Moreover, several criteria of distributional chaos induced by coupled-expansionfor an irreducible transition matrix are obtained. Some of these results notonly extend the existing related results for autonomous discrete systems tonon-autonomous discrete systems, but also relax the assumptions of thecounterparts. One example is provided for illustration.

Some criteria of chaos in non-autonomous discrete systems