@article {
author = {Li, Risong},
title = {Kato's chaos and P-chaos of a coupled lattice system given by Garcia Guirao and Lampart which is related with Belusov-Zhabotinskii reaction},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {11},
number = {1},
pages = {1-9},
year = {2020},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2020.148532.1390},
abstract = {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.},
keywords = {Coupled map lattice,Kato's chaos,P-chaos,Li-Yorke's chaos,Tent map},
url = {http://ijmc.kashanu.ac.ir/article_102611.html},
eprint = {http://ijmc.kashanu.ac.ir/article_102611_7d3afcfa96c316ad3eba7149e45be835.pdf}
}