This paper is concerned with Devaney chaos in non-autonomous discretesystems. It is shown that in its definition, the two former conditions, i.e.,transitivity and density of periodic points, in a set imply the last one, i.e.,sensitivity, in the case that the set is unbounded, while a similar resultholds under two additional conditions in the other case that the set isbounded. Furthermore, some chaotic behavior is studied for a class ofnon-autonomous systems, each of which is governed by a convergent sequence ofcontinuous maps.
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