Block-Coppels chaos in set-valued discrete systems | ||
| Iranian Journal of Numerical Analysis and Optimization | ||
| مقاله 2، دوره 3، شماره 1 - شماره پیاپی 3، 2013، صفحه 9-12 اصل مقاله (72.08 K) | ||
| 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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