Block-Coppels chaos in set-valued discrete systems

Iranian Journal of Numerical Analysis and Optimization

关键词: chaos;    discrete system;    dynamical system;   

DOI  :  10.22067/ijnao.v3i1.18812

来源: DOAJ

【 摘 要 】

Let (X, d) be a compact metric space and f : X → X be a continuous map. Consider the metric space (K(X),H) of all non empty compact subsets of X endowed with the Hausdorff metric induced by d. Let ¯ f : K(X) → K(X) be defined by ¯ f(A) = {f(a) : a ∈ A} . We show that Block-Coppels chaos in f implies Block-Coppels chaos in ¯ f if f is a bijection.

【 授权许可】

Unknown