Research on Chaos Caused by a Transitive Map Based on Intelligent Materials

* Final gross prices may vary according to local VAT.

Get Access

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),). 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).