University of KashanIranian Journal of Mathematical Chemistry2228-648911120200301Kato's chaos and P-chaos of a coupled lattice system given by Garcia Guirao and Lampart which is related with Belusov-Zhabotinskii reaction1910261110.22052/ijmc.2020.148532.1390ENRisongLiGuangdong Ocean UniversityJournal Article20180912In 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.https://ijmc.kashanu.ac.ir/article_102611_7d3afcfa96c316ad3eba7149e45be835.pdfUniversity of KashanIranian Journal of Mathematical Chemistry2228-648911120200301On Topological Properties of the n-Star Graph111610286310.22052/ijmc.2020.174205.1429ENNegurKaramzadehDepartment of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, IranMohammad RezaDarafshehUniversity of TehranJournal Article20190306The 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.https://ijmc.kashanu.ac.ir/article_102863_eaa3e677f0706042c99ef581e911311b.pdfUniversity of KashanIranian Journal of Mathematical Chemistry2228-648911120200301A New Explicit Singularly P-Stable Four-Step Method for the Numerical Solution of Second Order IVPs173110531610.22052/ijmc.2020.207671.1472ENMohammadMehdizadeh KhalsaraeiDepartment of mathematics, University of Maragheh, Amirkabir Highway, P. O. Box. 55181-83111AliShokriDepartment of Mathematics, Faculty of Basic Science, University of Maragheh, Maragheh, Iran.0000-0003-2699-1490Journal Article20191105In 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.https://ijmc.kashanu.ac.ir/article_105316_cf6ff6111c1398417f28d801c2cf3b23.pdfUniversity of KashanIranian Journal of Mathematical Chemistry2228-648911120200301Some New Results on Mostar Index of Graphs334210553810.22052/ijmc.2020.209321.1475ENModjtabaGhorbaniDepartment of mathematics, Shahid Rajaee Teacher Training University0000-0002-5324-0847ShaghayeghRahmaniDepartment of Mathematics, SRTT UniversityMohammadEslampoorDepartment of Mathematics, Srtt UniversityJournal Article20191125A 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.https://ijmc.kashanu.ac.ir/article_105538_d4c7377f14f11fdb1555a6a0ed9f1700.pdfUniversity of KashanIranian Journal of Mathematical Chemistry2228-648911120200301A Robust Spectrophotometric Method using Least Squares Support Vector Machine for Simultaneous Determination of Anti−Diabetic Drugs and Comparison with the Chromatographic Method435510555510.22052/ijmc.2020.212363.1477ENValehArabzadehDepartment of Chemistry, North Tehran Branch, Islamic Azad University, Tehran, IranMahmoud RezaSohrabiDepartment of Chemistry, North Tehran Branch, Islamic Azad University, Tehran, IranNasserGoudarziFaculty of chemistry, Shahrood University of Technology,
Shahrood, IranMehranDavalloDepartment of Chemistry, North Tehran Branch, Islamic Azad University, Tehran, IranJournal Article20191218In 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.https://ijmc.kashanu.ac.ir/article_105555_748405217f46a51e34ff9754f8812dbc.pdfUniversity of KashanIranian Journal of Mathematical Chemistry2228-648911120200301On the Laplacian Szeged Spectrum of Paths576310558010.22052/ijmc.2020.215860.1480ENTomislavDoslicFaculty of Civil Engineering, University of ZagrebJournal Article20200114We 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.https://ijmc.kashanu.ac.ir/article_105580_68b90c5cfa392e280f36a6426750f903.pdf