Robinson’s chaos in set-valued discrete systems

Heriberto Román-Flores and Y. Chalco-Cano

Chaos, Solitons & Fractals, 2005, vol. 25, issue 1, 33-42

Abstract: Let (X,d) be a compact metric space and f:X→X a continuous function. If we consider the space (K(X),H) of all non-empty compact subsets of X endowed with the Hausdorff metric induced by d and f¯:K(X)→K(X), f¯(A)={f(a)/a∈A}, then the aim of this work is to show that Robinson’s chaos in f¯ implies Robinson’s chaos in f. Also, we give an example showing that R-chaos in f does not implies R-chaos in f¯.

Date: 2005
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Citations: View citations in EconPapers (13)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:25:y:2005:i:1:p:33-42

DOI: 10.1016/j.chaos.2004.11.006

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