TY - JOUR
ID - 102611
TI - Kato's chaos and P-chaos of a coupled lattice system given by Garcia Guirao and Lampart which is related with Belusov-Zhabotinskii reaction
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Li, Risong
AD - Guangdong Ocean University
Y1 - 2020
PY - 2020
VL - 11
IS - 1
SP - 1
EP - 9
KW - Coupled map lattice
KW - Kato's chaos
KW - P-chaos
KW - Li-Yorke's chaos
KW - Tent map
DO - 10.22052/ijmc.2020.148532.1390
N2 - 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.
UR - http://ijmc.kashanu.ac.ir/article_102611.html
L1 - http://ijmc.kashanu.ac.ir/article_102611_7d3afcfa96c316ad3eba7149e45be835.pdf
ER -