Zongbin Yin, Qiaomin Xiang, Xinxing Wu
In this paper, several types of reiterative distributional chaos are concerned in discrete dynamical systems. Some implications between distributional chaos and reiterative distributional chaos are obtained. It is further shown that an equicontinuous non-autonomous system (X,f1,∞), where f1,∞={fi}i≥1 is a sequence of self-maps of a metric space X, exhibits reiterative distributional chaos of type i (i∈{1,1+,2,212,212−}) if and only if its kth iteration f[k]1,∞ exhibits reiterative distributional chaos of type i for any k≥2.
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