Chaos to Multiple Mappings.

Let be a compact metric space and be an -tuple of continuous selfmaps on . This paper investigates Hausdorff metric Li-Yorke chaos, distributional chaos and distributional chaos in a sequence from a set-valued view. On the basis of this research, we draw the main conclusions as follows: (i) If has a distributionally chaotic pair, especially is distributionally chaotic, the strongly nonwandering set contains at least two points. (ii) We give a sufficient condition for to be distributionally chaotic in a sequence and chaotic in the strong sense of Li-Yorke. Finally, an example to verify (ii) is given. [ABSTRACT FROM AUTHOR]