Block-Coppels chaos in set-valued discrete systems

Iranian Journal of Numerical Analysis and Optimization

مقاله 2، دوره 3، شماره 1 - شماره پیاپی 3، فروردین 2013، صفحه 9-12   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v3i1.18812

نویسندگان

Bahman Honary؛ Mojtaba Jazaeri^*

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

چکیده

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.

کلیدواژه‌ها

Chaos؛ Discrete system؛ Dynamical system

مراجع

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