University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
11
1
2020
03
30
Kato's chaos and P-chaos of a coupled lattice system given by Garcia Guirao and Lampart which is related with Belusov-Zhabotinskii reaction
1
9
EN
Risong
Li
Guangdong Ocean University
gdoulrs@163.com
10.22052/ijmc.2020.148532.1390
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.
Coupled map lattice,Kato's chaos,P-chaos,Li-Yorke's chaos,Tent map
http://ijmc.kashanu.ac.ir/article_102611.html
http://ijmc.kashanu.ac.ir/article_102611_7d3afcfa96c316ad3eba7149e45be835.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
11
1
2020
03
30
On Topological Indices Of the n-Star Graph
11
16
EN
Negur
Karamzadeh
Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
n_shahni@sbu.ac.ir
Mohammad
Reza
Darafsheh
University of Tehran
darafsheh@ut.ac.ir
10.22052/ijmc.2020.174205.1429
The n-star graph Sn is defined on the set of all n sequenses (u1,u2,...,un), ui ∈<br /> {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<br /> some topological properties of Sn.
Star graph,Vertex transitive graph,edge transitive graph,Wiener index
http://ijmc.kashanu.ac.ir/article_102863.html
http://ijmc.kashanu.ac.ir/article_102863_5f415a8f932e935dd14c1755315e8d96.pdf