University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
11
1
2020
03
01
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
https://ijmc.kashanu.ac.ir/article_102611.html
https://ijmc.kashanu.ac.ir/article_102611_7d3afcfa96c316ad3eba7149e45be835.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
11
1
2020
03
01
On Topological Properties 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
https://ijmc.kashanu.ac.ir/article_102863.html
https://ijmc.kashanu.ac.ir/article_102863_eaa3e677f0706042c99ef581e911311b.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
11
1
2020
03
01
A New Explicit Singularly P-Stable Four-Step Method for the Numerical Solution of Second Order IVPs
17
31
EN
Mohammad
Mehdizadeh Khalsaraei
Department of mathematics, University of Maragheh, Amirkabir Highway, P. O. Box. 55181-83111
muhammad.mehdizadeh@gmail.com
Ali
Shokri
0000-0003-2699-1490
Department of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran.
shokri2090@gmail.com
10.22052/ijmc.2020.207671.1472
In this paper, we introduce a new symmetric explicit four-step method with variable coefficients for the numerical solution of second-order linear periodic and oscillatory initial value problems of ordinary differential equations. For the first time in the literature, we generate an explicit method with the most important singularly P-stability property. The method is multiderivative and has algebraic order eight and infinite order of phase-lag. The numerical results for some chemical (e.g. orbit problems of Stiefel and Bettis) as well as quantum chemistry problems (i.e. systems of coupled differential equations) indicated that the new method is superior, efficient, accurate and stable.
Explicit methods,Phase-lag,Ordinary differential equations,P-stable,Symmetric multistep methods
https://ijmc.kashanu.ac.ir/article_105316.html
https://ijmc.kashanu.ac.ir/article_105316_cf6ff6111c1398417f28d801c2cf3b23.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
11
1
2020
03
01
Some New Results on Mostar Index of Graphs
33
42
EN
Modjtaba
Ghorbani
Department of mathematics, Shahid Rajaee Teacher Training University
mghorbani@sru.ac.ir
Shaghayegh
Rahmani
Department of Mathematics, SRTT University
s.rahmani@sru.ac.ir
Mohammad
Eslampoor
Department of Mathematics, Srtt University
ag.paper@gmail.com
10.22052/ijmc.2020.209321.1475
A general bond additive index (GBA) can be defined as , where α(e) is edge contributions. The Mostar index is a new topological index whose edge contributions are α(e) = | nu - nv| in which nu is the number of vertices of lying closer to vertex u than to vertex v and nv can be defined similarly. In this paper, we propose some new results on the Mostar index based on the vertex-orbits under the action of automorphism group. In addition, we detrmined the structures of graphs with Mostar index equal 1. Finally, compute the Mostar index of a family of nanocone graphs.
Molecular graphs,topological index,Automorphism group
https://ijmc.kashanu.ac.ir/article_105538.html
https://ijmc.kashanu.ac.ir/article_105538_d4c7377f14f11fdb1555a6a0ed9f1700.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
11
1
2020
03
01
A Robust Spectrophotometric Method using Least Squares Support Vector Machine for Simultaneous Determination of Anti−Diabetic Drugs and Comparison with the Chromatographic Method
43
55
EN
Valeh
Arabzadeh
Department of Chemistry, North Tehran Branch, Islamic Azad University, Tehran, Iran
valeh_ar@yahoo.com
Mahmoud
Reza
Sohrabi
Department of Chemistry, North Tehran Branch, Islamic Azad University, Tehran, Iran
sohrabi.m46@yahoo.com
Nasser
Goudarzi
Faculty of chemistry, Shahrood University of Technology,
Shahrood, Iran
goudarzi@shahroodut.ac.ir
Mehran
Davallo
Department of Chemistry, North Tehran Branch, Islamic Azad University, Tehran, Iran
mehrandavallo@yahoo.com
10.22052/ijmc.2020.212363.1477
In the present paper, the simultaneous spectrophotometric estimation of Metformin (MET) and Pioglitazone (PIO) in an antidiabetic drug called Actoplus MET based on least squares support vector machine (LS-SVM) was proposed. The optimum gamma (γ) and sigma (σ) parameters were found to be 825 and 90 with the root mean square error (RMSE) of 0.1343for MET, as well as 1000 and 350 with RMSE=0.4120 for PIO. Also, the mean recovery values of MET and PIO were 99.81% and 100.19%, respectively. Ultimately, the real sample was analyzed by High-Performance Liquid Chromatography (HPLC) reference method and the proposed procedure. Then, one-way analysis of variance (ANOVA) test at the 95 % confidence level was performed on achieved results from HPLC and LS-SVM methods. The statistical data of these methods showed that there were no significant differences between them.
spectrophotometric,Least squares support vector machine,Metformin,Pioglitazone,High-performance liquid chromatography
https://ijmc.kashanu.ac.ir/article_105555.html
https://ijmc.kashanu.ac.ir/article_105555_748405217f46a51e34ff9754f8812dbc.pdf
University of Kashan
Iranian Journal of Mathematical Chemistry
2228-6489
2008-9015
11
1
2020
03
01
On the Laplacian Szeged spectrum of paths
57
63
EN
Tomislav
Doslic
Faculty of Civil Engineering, University of Zagreb
doslic@grad.hr
10.22052/ijmc.2020.215860.1480
We present explicit formulas for the Laplacian Szeged eigenvalues of paths, grids, $C_4$-nanotubes<br /> and of Cartesian products of paths with some other simple graphs. A number of open problems is listed.
Path graph,grid graph,Cartesian product
https://ijmc.kashanu.ac.ir/article_105580.html
https://ijmc.kashanu.ac.ir/article_105580_68b90c5cfa392e280f36a6426750f903.pdf