Kato's chaos and P-chaos of a coupled lattice system given by Garcia Guirao and Lampart which is related with Belusov-Zhabotinskii reaction
Risong
Li
Guangdong Ocean University
author
text
article
2020
eng
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.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
11
v.
1
no.
2020
1
9
http://ijmc.kashanu.ac.ir/article_102611_7d3afcfa96c316ad3eba7149e45be835.pdf
dx.doi.org/10.22052/ijmc.2020.148532.1390
On Topological Indices Of the n-Star Graph
Negur
Karamzadeh
Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
author
Mohammad
Darafsheh
University of Tehran
author
text
article
2020
eng
The n-star graph Sn is defined on the set of all n sequenses (u1,u2,...,un), ui ∈ {1, 2, ..., n}, ui \ne uj and i \ne j, where edges are of the form (u1,u2,...,un) ∼ (ui,u2,...,un), for some i \ne 1. In this paper we will show that Sn is a vertex and edge transitive graph and discuss some topological properties of Sn.
Iranian Journal of Mathematical Chemistry
University of Kashan
2228-6489
11
v.
1
no.
2020
11
16
http://ijmc.kashanu.ac.ir/article_102863_5f415a8f932e935dd14c1755315e8d96.pdf
dx.doi.org/10.22052/ijmc.2020.174205.1429