Abstract
Let (X, d) be a compact metric space, and (\(\mathcal{K}\)(X),H) is d induced Hausdorff metric space of all non-empty compact subsets of X. In the paper, we investigated the distributional chaoticity in a sequence of discrete dynamical system (X, f) and the distributional chaoticity in a sequence of set-valued discrete system (\(\mathcal{K}\)(X),f̄). And we gave a sufficient condition about the existence of distributionally chaotic sets in a sequence in discrete system (X, f) and discrete dynamical system (\(\mathcal{K}\), H).
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Wang, L., Gao, Y., Ling, WK. (2011). Research on Chaos Caused by a Transitive Map Based on Intelligent Materials. In: Jin, D., Lin, S. (eds) Advances in Computer Science, Intelligent System and Environment. Advances in Intelligent and Soft Computing, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23756-0_44
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DOI: https://doi.org/10.1007/978-3-642-23756-0_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23755-3
Online ISBN: 978-3-642-23756-0
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