FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
Recent Submissions
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Tulczyjew's triplet for Lie groups III: higher order dynamics and reductions for iterated bundles
(Serbian Society of Mechanics, 2021)Given a Lie group G, we elaborate the dynamics on T*T*G and T*TG, which is given by a Hamiltonian, as well as the dynamics on the Tul-czyjew symplectic space TT * G, which may be defined by a Lagrangian or a Hamiltonian ... -
On extensions, Lie-Poisson systems, and dissipation
(Heldermann Verlag, 2022-07-06)Lie-Poisson systems on the dual spaces of unified products are studied. Having been equipped with a twisted 2-cocycle term, the extending structure framework allows not only to study the dynamics on 2-cocycle extensions, ... -
Inverse solution of thermoacoustic wave equation for cylindrical layered media
(Frontiers Media S.A., 2022-03-30)Thermoacoustic imaging is a crossbred approach taking advantages of electromagnetic and ultrasound disciplines, together. A significant number of current medical imaging strategies are based on reconstruction of source ... -
Slant curves in the Lorentzian warped product manifold - I× fE²
(Birkhauser, 2022-03-15)In this work, we study slant curves in the 3-dimensional Lorentzian warped product - I× fE², where E² is a 2-dimensional Euclidean plane, I⊆ R is an open interval equipped with the metric dt², and f is a positive smooth ... -
Sönümlemeli sistemlerin eşlenmesi üzerine
(Afyon Kocatepe Üniversitesi, 2021)Bu makalede karşılıklı etki tepki içindeki iki sönümlemeli sistemin beraber (kollektif- eşlenmiş) hareketinin analizi üzerine bir yöntem öneriyoruz. Aşikardır ki; eşlenmiş hareketi kontrol eden diferansiyel denklemler iki ... -
A new form of Kakutani fixed point theorem and intersection theorem with applications
(Ministry Communications & High Technologies, 2021)The first aim of this paper is to extend the Kakutani's fixed point theorem from locally convex topological vector spaces to linear topological spaces. The second goal is to present sufficient conditions under which the ... -
Epidemiyolojideki kompartman modellerinin eşlenmiş Hamilton analizi
(Marmara Üniversitesi Fen Bilimleri Enstitüsü, 2021-01-13)Epidemiyolojideki SIR, SEIR, 2-SIR ve 2-SEIR modellerinin Hamilton formülasyonu verildi. Eşlenmiş Lie-Poisson sistemleri yazıldı. SIR ve SEIR modellerinin eşlenmiş Lie-Poisson sistemi oldukları gösterildi. Bir Lie cebiri ... -
Eşlenmiş Lie grupları üzerindeki Lagrange fark denklemleri
(Marmara Üniversitesi Fen Bilimleri Enstitüsü, 2021-03-09)Bu makalede, kesikli (discrete) dinamiğin Lagrange formülasyonu eşlenmiş (matched pair) Lie grupları üzerinde çalışılmıştır. Sonuç olarak, karşılıklı etkileşim altındaki iki sistemin kolektif davranışını belirleyen eşlenmiş ... -
Lie cebiroidleri üzerindeki Lagrange dinamiğinin eşlenmesi problemi üzerine
(Süleyman Demirel Üniversitesi, 2021-08-15)Lie cebiroidleri, bir anlamda tanjant demetini ve Lie cebiri yapısını beraber ihtiva eden ve fakat daha genel olan geometrik inşaalardır. Lagrange dinamiğinin en genel ifadesi Lie cebiroidleri üzerinde mümkündür. Bu makalede, ... -
Matched pair analysis of the Vlasov plasma
(American Institute of Mathematical Sciences-AIMS, 2021-06)We present the Hamiltonian (Lie-Poisson) analysis of the Vlasov plasma, and the dynamics of its kinetic moments, from the matched pair decomposition point of view. We express these (Lie-Poisson) systems as couplings of ... -
Constant angle surfaces in the Lorentzian warped product manifold – I × fE²
(Birkhauser, 2021-06)In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold - I× fE² with the metric g~ = - d t²+ f²(t) (d x²+ d y²) , where I is an open interval, f is ... -
Discrete dynamical systems over double cross-product Lie groupoids
(World Scientific, 2021-03)Discrete Euler-Lagrange equations are studied over double cross product Lie groupoids. As such, a geometric framework for the local analysis of a discrete dynamical system is established. The arguments are elucidated on ... -
Some boundary Harnack principles with uniform constants
(Springer Science and Business Media B.V., 2022-10)We prove two versions of a boundary Harnack principle in which the constants do not depend on the domain by using probabilistic methods. -
Homology of quantum linear groups
(Int Press Boston, 2021-03-24)For every n >= 1, we calculate the Hochschild homology of the quantum monoids M-q(n), and the quantum groups GL(q)(n) and SLq(n) with coefficients in a 1-dimensional module coming from a modular pair in involution. -
Adaptive convolution kernel for artificial neural networks
(Academic Press Inc., 2021-02)Many deep neural networks are built by using stacked convolutional layers of fixed and single size (often 3 × 3) kernels. This paper describes a method for learning the size of convolutional kernels to provide varying size ... -
Geometric representations and symmetries of graphs, maps and other discrete structures and applications in science
(Tübitak, 2015-09)Bu proje çalışmasının birinci amacı çizgelerin özdeğer ve özvektör yapılarını çizge özellik ve sabitleri ile ilişkilendirmektir. İkinci amacı biyoloji, bioinformatik, dinamik sistemler, haberleşme, kriptoloji ve sosyal ... -
Second order Lagrangian dynamics on double cross product groups
(Elsevier B.V., 2021-02)We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Based on this observation, we derive the 2nd ... -
Some results on a subclass of harmonic mappings of order alpha
(Işık University Press, 2014)Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z)| h(z) = z + ∑∞ n=2 anzⁿ, g(z) = b1z + ∑∞ n=2 bnzⁿ, b1 < 1 } where h(z) and g(z) are analytic. Additionally f(z) ∈ SH(α) ⇔ | zh′ (z) − zg′(z) h(z) ... -
Harmonic mappings related to starlike function of complex order α
(Işık University Press, 2014)Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z) | h(z) = z + ∑∞ n=2 anzⁿ, g(z) = ∑∞ n=1 bnzⁿ} The purpose of this talk is to present some results about harmonic mappings which was introduced by ...