Department of Mathematics, Article

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Recent Submissions

Some special coprime actions and their consequences Ercan, Gülin; Güloğlu, İsmaı̇l Ş.; Kizmaz, M. Yası̇r; Revin, Danila O. (2024-12-01) Let a group A act on the group G coprimely. Suppose that the order of the fixed point subgroup CG(A) is not divisible by an arbitrary but fixed prime p. In the present paper we determine bounds for the p-length of the grou...
Species on the move: Impacts of climate change on the spatial range of endemic fishes of the eco-sensitive semi-arid area of the Arabian Peninsula Masoumi, Amir Hassan; Esmaeili, Hamid Reza; Khosravi, Rasoul; Gholamhosseini, Ali; Korkmaz, Mustafa; Jeppesen, Erik (2024-10-15) Climate change is one of the most significant challenges worldwide in the Anthropocene, and it is predicted to importantly affect biological diversity, especially in freshwaters. Freshwater fishes are facing considerable g...
GEOGRAPHY OF SYMPLECTIC LEFSCHETZ FIBRATIONS AND RATIONAL BLOWDOWNS Baykur, R. Inanç; Korkmaz, Mustafa; Simone, Jonathan (2024-10-01) We produce simply-connected, minimal, symplectic Lefschetz fibrations realizing all the lattice points in the symplectic geography plane below the Noether line. This provides a symplectic extension of the classical works p...
Markovian noise-induced delta synchronization approach for Hindmarsh–Rose model Akhmet, Marat; Başkan, Kağan; Yeşil, Cihan (2024-08-01) The paper explores noise-induced synchronization in uncoupled Hindmarsh–Rose neurons, introducing two distinctive elements: the application of Markovian noise and an analysis of synchronization via unpredictability. The no...
Enveloping norms of regularly P-operators in Banach lattices Alpay, Safak; Emelyanov, Eduard; Gorokhova, Svetlana (2024-07-01) The span of positive linear operators belonging to an operator linear class P and acting between Banach lattices is rarely a Banach space under the operator norm. We investigate the enveloping norm ‖S‖r-P=inf{‖T‖:±S≤T∈P} o...
ASYMPTOTIC EXPANSION OF THE SOLUTION FOR SINGULAR PERTURBED LINEAR IMPULSIVE SYSTEMS Dauylbayev, M.K.; Akhmet, Marat; Aviltay, N. (2024-06-30) In this study, a singularly perturbed linear impulsive system with singularly perturbed impulses is considered. Many books discuss different types of singular perturbation problems. In the present work, an impulse system i...
On the BEM solution of convection-diffusion type equations involving variable convective coefficients Fendoğlu, Hande; Bozkaya, Canan; Tezer, Münevver (2024-06-01) In this study, numerical solutions of the unsteady convection-diffusion type equations of variable convective coefficients are investigated by two effective techniques alternative to direct boundary element method (BEM). T...
Dynamics of Symmetrical Discontinuous Hopfield Neural Networks with Poisson Stable Rates, Synaptic Connections and Unpredictable Inputs Akhmet, Marat; Nugayeva, Zakhira; Seilova, Roza (2024-06-01) The purpose of this paper is to study the dynamics of Hopfield neural networks with impulsive effects, focusing on Poisson stable rates, synaptic connections, and unpredictable external inputs. Through the symmetry of impu...
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...
THE TWIST SUBGROUP IS GENERATED BY TWO ELEMENTS Altunöz, Tülin; Pamuk, Mehmetcik; Yildiz, Oguz (2024-01-01) We show that the twist subgroup Tg of a nonorientable surface of genus g can be generated by two elements for every odd g ≥ 21 and even g ≥ 50. Using these generators, we can also show that Tg can be generated by two or th...
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, Ã–mer Åžafak; 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.
Asymptotic solutions of differential equations with singular impulses Aviltay, Nauryzbay; Akhmet, Marat; Zhamanshin, Akylbek (2024-01-01) The paper considers impulsive systems with singularities. The main novelty is that beside the singularity of the differential equation, the impulsive equation is a singular one. The method of boundary functions is applied ...
Involution generators of the big mapping class group Altunöz, Tülin; Pamuk, Mehmetcik; Ylldlz, Oǧuz (2024-01-01) Let S = S(n) denote the infinite-type surface with n ends, n ? N, accumulated by genus. For n = 6, we show that the mapping class group of S is topologically generated by five involutions. When n = 3, it is topologically g...

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