TY - JOUR
T1 - Robinson's chaos in set-valued discrete systems
AU - Román-Flores, Heriberto
AU - Chalco-Cano, Y.
PY - 2005/7
Y1 - 2005/7
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/13544270764
U2 - 10.1016/j.chaos.2004.11.006
DO - 10.1016/j.chaos.2004.11.006
M3 - Article
AN - SCOPUS:13544270764
SN - 0960-0779
VL - 25
SP - 33
EP - 42
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 1
ER -