%0 Journal Article 
%A Cánovas Peña, José Salvador
%T On topological sequence entropy and chaotic maps on inverse limit spaces
%D 1999
%@ 0862-9544
%U http://hdl.handle.net/10317/1026
%X The aim of this paper is to prove the following results: a continuous
map f : [0; 1] ! [0; 1] is chaotic if the shift map of : lim
([0; 1]; f) ! lim
([0; 1]; f) is
chaotic. However, this result fails, in general, for arbitrary compact metric spaces.
 f : lim
([0; 1]; f) ! lim
([0; 1]; f) is chaotic i  there exists an increasing sequence
of positive integers A such that the topological sequence entropy hA( f ) > 0. Finally,
for any A there exists a chaotic continuous map fA : [0; 1] ! [0; 1] such that
hA( fA) = 0:
%K Matemática Aplicada
%K Secuencia de Entropía topológica
%K Mapa caótico
%K Entropía topológica
%K Caos
%K Topological sequence entropy
%K Chaotic maps
%K Chaos
%K Topological Entropy
%~ GOEDOC, SUB GOETTINGEN