Yazar "Anadolu Üniversitesi, Fen Fakültesi, Matematik Bölümü" için Fen Fakültesi listeleme
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Assessing conceptual understanding in mathematics: Using derivative function to solve connected problems
Orhun, Nevin (2013)Open and distance education plays an important role in the actualization of cultural goals as well as in societal developments. This is an independent teaching and learning method for mathematics which forms the dynamic ... -
Asymptotic analysis of an anti-plane dynamic problem for a three-layered strongly inhomogeneous laminate
Prikazchikova, L.; Ece, Aydın, Y.; Erbaş, Barış; Kaplunov, Julius (SAGE Publications Inc., 2018)Anti-plane dynamic shear of a strongly inhomogeneous dynamic laminate with traction-free faces is analysed. Two types of contrast are considered, including those for composite structures with thick or thin stiff outer ... -
The Bakry-Emery Ricci tensor and its applications to some compactness theorems
Limoncu, Murat (Springer, 2012)Let (M, g) be a complete and connected Riemannian manifold of dimension n. By using the Bakry-Emery Ricci curvature tensor on M, we prove two theorems which correspond to the Myers compactness theorem. -
Bazı monoton azalan ve azalan adımlı sıfır dizilerinin fraktal boyutu
Üreyen, Mehmet (1997)Bu çalışmada fractal boyutu bilinen monoton azalan ve azalan adındı bir sıfır dizisi yardımıyla tanımlanan bazı sıfir dizilerinin fraktal boyutları hesaplanmıştır. -
?-blocking and hysteresis in the EEG
Koçak, Şahin; Mercangöz, A.; Canbek, S. (1995)We investigated the phenomenon of ?-blocking by using a smoothly changing illumination as the visual stimulus and showed that there is no increase of ß-waves during ?-blocking. We were unable to see any form of ?-ß competition ... -
The Bochner technique and modification of the Ricci tensor
Limoncu, Murat (Springer, 2009)In the well-known vanishing theorems of Bochner, the assumptions Ric a parts per thousand yen 0 and Ric a parts per thousand currency sign 0 are modified by using Hessian and Laplacian of a smooth positive function such ... -
Bounded Motions of the Dynamical Systems Described by Differential Inclusions
Ege, Nihal; Guseinov, Khalik G. (Hindawi LTD, 2009)The boundedness of the motions of the dynamical system described by a differential inclusion with control vector is studied. It is assumed that the right-hand side of the differential inclusion is upper semicontinuous. ... -
Brown-Robinson method for interval matrix games
Akyar, Emrah; Akyar, Handan; Düzce, Serkan Ali (Springer, 2011)In this paper, two-person interval matrix games are considered, and by means of acceptability index, Brown-Robinson method to find a mixed-strategy equilibrium is adapted to interval matrix games. Numerical examples are ... -
Calculation of Cutoff Frequency For Polynomial Families
Büyükköroğlu, Taner; Çelebi, Gökhan (2017)In many stability problems, the investigation of pure imaginary roots for a polynomial family is very important. Given a pure imaginary complex number, the set of all images of uncertainty vectors is called the value set ... -
Canonical bases for real representations of Clifford algebras
Bilge, Ayşe Hümeyra; Koçak, Şahin; Uguz, S. (Elsevier Science Inc, 2006)The well-known classification of the Clifford algebras Cl(r, s) leads to canonical forms of complex and real representations which are essentially unique by virtue of the Wedderburn theorem. For s >= 1 representations of ... -
Chaos in product maps
Değirmenci, Nedim; Koçak, Şahin (Scientific Technical Research Council Turkey-Tubitak, 2010)We discuss how chaos conditions on maps carry over to their products First we give a counterexample showing that the product of two chaotic maps (in the sense of Devaney) need not be chaotic We then remark that if two maps ... -
Chaotic n-dimensional euclidean and hyperbolic open billiards and chaotic spinning planar billiards
Deniz, Ali; Kennedy, Judy; Koçak, Şahin; Ratiu, Andrei V.; Üstün, Cevat; Yorke, James A. (Siam Publications, 2008)We propose a new method to handle the n-dimensional billiard problem in the exterior of a finite mutually disjoint union of convex ( but not necessarily strictly convex) smooth obstacles without eclipse in the Euclidean ... -
The circle as an attractor of an iterated function system on the plane
Demir, Bünyamin; Dzhafarov, Vakif; Koçak, Şahin; Üreyen, Mehmet (Academic Press Inc Elsevier Science, 2007)We give an iterated function system (IFS) on the plane with the circle as attractor. In doing this, we also give a sufficient condition for radially contracting functions on the plane (or on R-n) to be a contraction. A ... -
A classification of points on the Sierpinski gasket
Deniz, A.; Saltan, Mustafa; Demir, Bünyamin (2008)In this article we classified the points of the well-known fractal set Sicrpinski Gasket (SG) according to their addresses. We also gave a characterization of points of SG that describes the relation between their addresses ... -
Coincidence criteria of the maximal stable bridges in the approach problems
Ushakov, V. N.; Guseinov, Khalik G.; Latushkin, Ya. A.; Lebedev, P. D. (Pergamon-Elsevier Science LTD, 2010)Two person antagonistic differential games with dynamics described by nonlinear ordinary differential equations are considered. For a given compact target set M subset of R-n the problem of approach at a given time instant ... -
Common diagonal Lyapunov function for third order linear switched system
Büyükköroğlu, Taner (Elsevier Science BV, 2012)Consider the stability problem for the following linear switched system (differential inclusion) (x) over dot = Ax, A is an element of {A1, A2, . . . , A(N)}. Here A(i) (i = 1, 2, . . . . N) are n x n dimensional Hurwitz ... -
Common diagonal solutions to the Lyapunov inequalities for interval systems
Yıldız, Bengi; Büyükköroğlu, Taner; Dzhafarov, Vakif (Springer International Publishing Ag, 2016)In this paper for interval systems we consider the problem of existence and evaluation of common diagonal solutions to the Lyapunov inequalities. For second order systems, we give necessary and sufficient conditions and ... -
Common diagonal stability of second order interval systems
Yıldız, B.; Büyükköroğlu, Taner; Dzhafarov, Vakif (SciTePress, 2014)In this paper for second order interval systems we obtain necessary and sufficient conditions for the existence of a common diagonal solutions to the Lyapunov (Stein) inequality. Hurwitz and Schur cases are considered ... -
Common Lyapunov Functions for Some Special Classes of Stable Systems
Büyükköroğlu, Taner; Esen, Özlem; Dzhafarov, Vakif (IEEE-Inst Electrical Electronics Engineers Inc, 2011)In this work we consider the problem of existence and determination of a common positive definite solution (common quadratic Lyapunov function) to a set of Lyapunov matrix inequalities. We investigate a parameterized matrix ...