%0 Journal Article
%T Kato's chaos and P-chaos of a coupled lattice system given by Garcia Guirao and Lampart which is related with Belusov-Zhabotinskii reaction
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Li, Risong
%D 2020
%\ 03/30/2020
%V 11
%N 1
%P 1-9
%! Kato's chaos and P-chaos of a coupled lattice system given by Garcia Guirao and Lampart which is related with Belusov-Zhabotinskii reaction
%K Coupled map lattice
%K Kato's chaos
%K P-chaos
%K Li-Yorke's chaos
%K Tent map
%R 10.22052/ijmc.2020.148532.1390
%X In this article, we further consider the above system. In particular, we give a sufficient condition under which the above system is Kato chaotic for $eta=0$ and a necessary condition for the above system to be Kato chaotic for $eta=0$. Moreover, it is deduced that for $eta=0$, if $Theta$ is P-chaotic then so is this system, where a continuous map $Theta$ from a compact metric space $Z$ to itself is said to be P-chaotic if it has the pseudo-orbit-tracing property and the closure of the set of all periodic points for $Theta$ is the space $Z$. Also, an example and three open problems are presented.
%U http://ijmc.kashanu.ac.ir/article_102611_7d3afcfa96c316ad3eba7149e45be835.pdf