Title
Robinson's chaos in set-valued discrete systems
Date Issued
01 January 2005
Access level
metadata only access
Resource Type
journal article
Author(s)
Román-Flores H.
Universidad De Tarapacá
Publisher(s)
Elsevier Ltd
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 f̄:K(X)→K(X), f̄(A)={f(a)/a∈A}, then the aim of this work is to show that Robinson's chaos in f̄ implies Robinson's chaos in f. Also, we give an example showing that R-chaos in f does not implies R-chaos in f̄. © 2005 Elsevier Ltd. All rights reserved.
Start page
33
End page
42
Volume
25
Issue
1
Language
English
OCDE Knowledge area
Matemáticas
Scopus EID
2-s2.0-13544270764
Source
Chaos, Solitons and Fractals
ISSN of the container
09600779
Sponsor(s)
This research was partially supported by Fondecyt 1040303 and DIPOG-UTA-4731-04.
Sources of information:
Directorio de Producción Científica
Scopus