Department of Mathematics, Article

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Recent Submissions

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...
Land-use and Fish Condition Changes for Over a Decade on Konya Closed Basin, are External Anomalies Affecting the Fish Condition?
Korkmaz, Mustafa; MANGIT, FATİH; 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...
A weakly Lindelöf space which does not have the property Ufin⁎(O,O)
Soyarslan, Servet; Önal, Süleyman (2023-06-01)
We show that there exists a Tychonoff weakly Lindelöf space which does not have the property Ufin⁎(O,O). This result answers the following open questions. [2] Does a weakly Lindelöf space have the property U1⁎(O,O)? [3] Is...
Stabilized FEM solution of MHD duct flow with conducting cracks in the insulation
Tezer, Münevver; AYDIN, SALİM TUTGUN (2023-05-15)
In this paper, the numerical solution of the fully developed liquid–metal magnetohydrodynamic (MHD) flow is given in a rectangular duct under an external oblique magnetic field with no-slip and insulated walls containing c...
Unpredictable and Poisson Stable Oscillations of Inertial Neural Networks with Generalized Piecewise Constant Argument
Akhmet, Marat; Tleubergenova, Madina; Nugayeva, Zakhira (2023-04-01)
A new model of inertial neural networks with a generalized piecewise constant argument as well as unpredictable inputs is proposed. The model is inspired by unpredictable perturbations, which allow to study the distributio...
Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2023-03-01)
Shunting inhibitory cellular neural networks with compartmental periodic unpredictable coefficients and inputs is the focus of this research. A new algorithm is suggested, to enlarge the set of known unpredictable function...
Compartmental Unpredictable Functions
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2023-03-01)
There is a huge family of recurrent functions, which starts with equilibria and ends with Poisson stable functions. They are fundamental in theoretical and application senses, and they admit a famous history. Recently, we ...
Kaya, Burak; Kuzucuoğlu, Mahmut (2023-03-01)
A group G is existentially closed (algebraically closed) if every finite system of equations and in-equations that has coefficients in G and has a solution in an overgroup H ≥ G has a solution in G. Existentially closed gr...
Classification of some quadrinomials over finite fields of odd characteristic
Özbudak, Ferruh; Gulmez Temur, B. or Temur (2023-03-01)
In this paper, we completely determine all necessary and sufficient conditions such that the polynomialf(x)=x3+axq+2+bx2q+1+cx3q" role="presentation" style="margin: 0px; padding: 0px; display: inline-block; line-height: no...
Artificial compression method for MHD system in Elsässer variables
Aggul, Mustafa; Eroglu, Fatma Güler; Kaya Merdan, Songül (2023-03-01)
We introduce an artificial compression (AC) method for simulations of the MHD system in Elsässer Variables. The proposed method decouples unknowns such as pressure, which acts as a Lagrange multiplier ensuring divergence c...
Equivariant Picard groups of the moduli spaces of some finite Abelian covers of the Riemann sphere
Ozan, Yıldıray (2023-03-01)
In this note, following Kordek's work we will compute the equivariant Picard groups of the moduli spaces of Riemann surfaces with certain finite abelian symmetries.
On diamond products ensuring irreducibility of the associated composed product
İrimağzi, Canberk; Özbudak, Ferruh (Informa UK Limited, 2023-2-16)
Let f and g be two irreducible polynomials of coprime degrees m and n whose zeroes lie in a set G⊆F¯¯¯q . Let ⋄ be a diamond product on G. We define the weaker cancelation property of ⋄ and show that it is sufficient to ...
Synchronization of chaos in semiconductor gas discharge model with local mean energy approximation
Akhmet, Marat; Yeşil, Cihan; Başkan, Kağan (2023-02-01)
The delta synchronization is a useful method to analyze appearance of chaotic synchronization in gas discharge systems. In recent studies, the generalized synchronization method has been implemented in various gas discharg...
A Numerical Analysis of Poincare Chaos
Akhmet, Marat; Fen, Mehmet Onur; Tola, Astrit (2023-01-01)
This paper reveals a new way to indicate the presence of chaos in continuous-time models, beside other techniques such as the method of Lyapunov exponents and bifurcation diagrams. The sequential test confirms the existenc...
Global energy preserving model reduction for multi-symplectic PDEs
Uzunca, Murat; Karasözen, Bülent; Aydın, Ayhan (2023-01-01)
© 2022 Elsevier Inc.Many Hamiltonian systems can be recast in multi-symplectic form. We develop a reduced-order model (ROM) for multi-symplectic Hamiltonian partial differential equations (PDEs) that preserves the global e...
Contiguity distance between simplicial maps
Borat, Ayse; Pamuk, Mehmetcik; VERGİLİ, TANE (2023-01-01)
For simplicial complexes and simplicial maps, the notion of being in the same contiguity class is defined as the discrete version of homotopy. In this paper, we study the contiguity distance, SD, between two simplicial map...
Complete characterization of some permutation polynomials of the form xr(1+axs1(q-1)+bxs2(q-1)) over Fq2
Özbudak, Ferruh; Temür, Burcu Gülmez (2023-01-01)
We completely characterize all permutation trinomials of the form f(x) = x3(1 + axq-1+ bx2(q-1)) over Fq2, where a,b∈Fq∗ and all permutation trinomials of the form f(x) = x3(1 + bx2(q-1)+ cx3(q-1)) over Fq2, where b,c∈Fq∗ ...
Almost Periodic Solutions of Recurrent Neural Networks with State-Dependent and Structured Impulses
Akhmet, Marat; Erim, Gülbahar (2023-01-01)
The subject of the present paper is recurrent neural networks with variable impulsive moments. The impact activation functions are specified such that the structure for the jump equations are in full accordance with that o...
Boomerang uniformity of power permutations and algebraic curves over F2n
Mesnager, Sihem; Özbudak, Ferruh (2023-01-01)
We obtain the Boomerang Connectivity Table of power permutations F(x)=x2m-1 of F2n with m ∈ {3, n-1/2, n+1/2, n-2}. In particular, we obtain the Boomerang uniformity and the Boomerang uniformity set of F(x) at b∈F2n\F2. Mo...
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