TY - JOUR 
A1 - Cánovas Peña, José Salvador
T1 - On topological sequence entropy and chaotic maps on inverse limit spaces
Y1 - 1999
SN - 0862-9544
UR - http://hdl.handle.net/10317/1026
AB - 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:
KW - Matemática Aplicada
KW - Secuencia de Entropía topológica
KW - Mapa caótico
KW - Entropía topológica
KW - Caos
KW - Topological sequence entropy
KW - Chaotic maps
KW - Chaos
KW - Topological Entropy
LA - spa
PB - Institute of Applied Mathematics Faculty of Mathematics, Physics and Informatics Comenius University
ER -