Block-Coppels chaos in set-valued discrete systems

Document Type : Research Article

Authors

• Bahman Honary
• Mojtaba Jazaeri

Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.

10.22067/ijnao.v3i1.18812

Abstract

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.

Keywords

• Chaos
• Discrete system
• Dynamical system

20.1001.1.24236977.2013.3.1.2.3

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