Department of Mathematics, Article

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Recent Submissions

Generating the level 2 subgroup by involutions
Altunöz, Tülin; Monden, Naoyuki; Pamuk, Mehmetcik; Yıldız, Oğuz (2024-04-15)
We obtain a minimal generating set of involutions for the level 2 subgroup of the mapping class group of a closed nonorientable surface.
Noncoprime action of a cyclic group
Ercan, Gülin; Güloğlu, İsmail Ş. (2024-04-01)
Let A be a finite nilpotent group acting fixed point freely on the finite (solvable) group G by automorphisms. It is conjectured that the nilpotent length of G is bounded above by ℓ(A), the number of primes dividing the or...
Nilpotent residual of a finite group
Rodrigues, Eliana; de Melo, Emerson; Ercan, Gülin (2024-03-01)
Let F be a nilpotent group acted on by a group H via automorphisms and let the group G admit the semidirect product FH as a group of automorphisms so that CG(F)=1. We prove that the order of γ∞(G), the rank of γ∞(G) are bo...
Application of Genetic Algorithms for Periodicity Recognition and Finite Sequences Sorting
Zhassuzak, Mukhtar; Akhmet, Marat; Amirgaliyev, Yedilkhan; Buribayev, Zholdas (2024-03-01)
Unpredictable strings are sequences of data with complex and erratic behavior, which makes them an object of interest in various scientific fields. Unpredictable strings related to chaos theory was investigated using a gen...
LS-14 test suite for long sequences
Akcengiz, Ziya; Aslan, Melis; Doğanaksoy, Ali; Sulak, Fatih; Uğuz, Muhiddin (2024-02-29)
Random number sequences are used in many branches of science. Because of many technical reasons and their practicality, pseudo random sequences are usually employed in place of true number sequences. Whether a sequence gen...
Unpredictable solutions of compartmental quasilinear differential equations
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2024-01-01)
In the present research, quasilinear differential equations with compartmental periodic unpredictable coefficients and perturbations are investigated. The compartmental periodic unpredictable functions present a new type o...
Time dependent magnetic field effects on the MHD flow and heat transfer in a rectangular duct
Tezer, Münevver; Türk, Önder (2024-01-01)
We consider the effect of time dependent magnetic field on the natural convection magnetohydrodynamic flow in a rectangular duct. The flow is two-dimensional, unsteady, laminar and the fluid is electrically conducting and ...
Cohen-Grossberg neural networks with unpredictable and Poisson stable dynamics
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2024-01-01)
In this paper, we provide theoretical as well as numerical results concerning recurrent oscillations in Cohen-Grossberg neural networks with variable inputs and strengths of connectivity for cells, which are unpredictable ...
Duality and norm completeness in the classes of limitedly Lwc and Dunford–Pettis Lwc operators
ALPAY, Ömer Şafak; Emelyanov, Eduard; GOROKHOVA, Svetlana (2024-01-01)
We study the duality and norm completeness in the new classes of limitedly L-weakly compact and Dunford–Pettis L-weakly compact operators from Banach spaces to Banach lattices.
Graphs of schemes associated to group actions
Kişisel, Ali Ulaş Özgür; Özkan, Engin (2023-12-01)
Let X be a proper algebraic scheme over an algebraically closed field. We assume that atorus T acts on X such that the action has isolated fixed points. The T-graph of X canbe defined using the fixed points and the one-dim...
Contact Symplectic Fibrations and Bundle Contact Structures
Arıkan, Mehmet Fırat (2023-12-01)
We consider a certain type of fiber bundles with odd dimensional connected contact base, exact symplectic fibers, and the structure group contained in the group of exact symplectomorphisms of the fiber. We call such fibrat...
Impacts of Human Activities and Climate Change on Freshwater Fish—Volume II
De Santis, Vanessa; Jeppesen, Erik; Volta, Pietro; Korkmaz, Mustafa (2023-12-01)
Deferred correction method for the continuous data assimilation model
AĞGÜL, MUSTAFA; Çıbık, Aytekin; Eroglu, Fatma G.; Kaya Merdan, Songül (2023-10-01)
This paper presents a numerical assessment of a continuous data assimilation (CDA) model for incompressible Navier–Stokes equations. The proposed model employs the deferred correction method, which is an approach to increa...
DRBEM solution of singularly perturbed coupled MHD flow equations
Arslan, Sinem; Tezer, Münevver (2023-10-01)
In this study, the numerical solution of singularly perturbed magnetohydrodynamic (MHD) flow in a square duct with no-slip, and insulated or perfectly conducting walls is investigated by using the Dual Reciprocity Boundary...
Symmetrical Impulsive Inertial Neural Networks with Unpredictable and Poisson-Stable Oscillations
Akhmet, Marat; Tleubergenova, Madina; Seilova, Roza; Nugayeva, Zakhira (2023-10-01)
This paper explores the novel concept of discontinuous unpredictable and Poisson-stable motions within impulsive inertial neural networks. The primary focus is on a specific neural network architecture where impulses mimic...
Core sets in Kähler manifolds
Göğüş, Nihat Gökhan; Günyüz, Ozan; Yazıcı, Özcan (2023-09-15)
The primary objective of this paper is to study core sets in the setting of m-subharmonic functions on the class of (non-compact) Kähler manifolds. Core sets are investigated in different aspects by considering various cla...
Expected Multivolumes of Random Amoebas
Bayraktar, Turgay; Kişisel, Ali Ulaş Özgür (2023-09-01)
We compute the expected multivolume of the amoeba of a random half dimensional complete intersection in CP2n . We also give a relative generalization of our result to the toric case.
Land-use and Fish Condition Changes for Over a Decade on Konya Closed Basin, are External Anomalies Affecting the Fish Condition?
Korkmaz, Mustafa; Mangit, Fatih; Yerli, Sedat (2023-09-01)
Anthropogenic pressures on freshwater ecosystems are growing and pose serious threats to endemic fish species. This study aimed to identify the effects of anthropogenic pressures on an endangered species, Pseudophoxinus cr...
Linearly implicit methods for Allen-Cahn equation
Uzunca, Murat; Karasözen, Bülent (2023-08-01)
It is well known that the Allen-Cahn equation satisfies a nonlinear stability property, i.e., the free-energy functional decreases in time. Linearly implicit integrators have been developed for energy-preserving methods fo...
On an optimal control problem of the Leray-alpha model
Hacat, Gülnur; Çıbık, Aytekin Bayram; Yılmaz, Fikriye Nuray; Kaya Merdan, Songül (2023-07-01)
This study considers semi-discrete optimal control problem of Navier–Stokes equations which are regularized by the Leray- model. After deriving optimality conditions, a priori error estimates of all fluid variables are inv...
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