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Browsing Matematik Bölümü by Issue Date

Browsing Matematik Bölümü by Issue Date

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  • Gulyaz, Selma; Karapinar, Erdal; Yuce, Ilker Savas (SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND, 2013)
    In this manuscript, we discuss the existence of a coupled coincidence point for mappings and , where F has the mixed g-monotone property, in the context of partially ordered metric spaces with an implicit relation. Our ...
  • Akhmet, Marat; Fen, Mehmet Onur; Kashkynbayev, Ardak (UNIV SZEGED, BOLYAI INSTITUTE, ARADI VERTANUK TERE 1, 6720 SZEGED, HUNGARY, 2017)
    It is rigorously proved that the chaotic dynamics of the non-smooth system with relay function is persistent even if a chaotic perturbation is applied. We consider chaos in a modified Li-Yorke sense such that there are ...
  • Fen, Mehmet Onur; Fen, Fatma Tokmak (ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2017)
    The existence of Li-Yorke chaos in the dynamics of shunting inhibitory cellular neural networks (SICNNs) on time scales is investigated. It is rigorously proved by taking advantage of external inputs that the outputs of ...
  • Pekmen, B. (BEGELL HOUSE INC, 50 NORTH ST, DANBURY, CT 06810 USA, 2017)
    In this study, the radial basis function pseudo-spectral (RBF-PS) method is applied for solving natural convective flow in a square cavity and in a curved pipe filled with a porous medium. RBF-PS constructs differentiation ...
  • Akhmet, Marat; Fen, Mehmet Onur (ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2017)
    The results of this study are continuation of the research of Poincare chaos initiated in the papers (M. Akhmet and M.O. Fen, Commun Nonlinear Sci Numer Simulat 40 (2016) 1-5; M. Akhmet and M.O. Fen, Turk J Math, ...
  • Fen, Mehmet Onur (PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2017)
    The dynamics of unidirectionally coupled chaotic Lorenz systems is investigated. It is revealed that chaos is present in the response system regardless of generalized synchronization. The presence of sensitivity is ...
  • Fen, Mehmet Onur; Fen, Fatma Tokmak (WALTER DE GRUYTER GMBH, GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY, 2017)
    In this paper, we present a method to generate homoclinic and heteroclinic motions in impulsive systems. We rigorously prove the presence of such motions in the case that the systems are under the influence of a discrete ...
  • Akhmet, Marat; Fen, Mehmet Onur (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR-06100 ANKARA, TURKEY, 2017)
    Recently we introduced the concept of Poincare chaos. In the present paper, by means of the Bebutov dynamical system, an unpredictable solution is considered as a generator of the chaos in a quasilinear system. The results ...
  • Geridönmez, Bengisen Pekmen (ISFAHAN UNIV TECHNOLOGY, MECHANICAL ENGINEEING DEPT, JAFM OFFICE, ISFAHAN, 84156-83111, IRAN, 2017)
    In this study, radial basis function based differential quadrature (RBF-DQ) method is applied to the natural convection in an inclined unit square cavity under the effect of an applied magnetic field in different angles. ...
  • Akhmet, M.; Fen, M.O. (L and H Scientific Publishing, LLC, 2018)
    Periodicity plays a significant role in the chaos theory from the beginning since the skeleton of chaos can consist of infinitely many unstable periodic motions. This is true for chaos in the sense of Devaney [1], Li-Yorke ...
  • Akhmet, Marat; Fen, Mehmet Onur; Alejaily, Ejaily Milad (ASSOC COMPUTING MACHINERY, 1515 BROADWAY, NEW YORK, NY 10036-9998 USA, 2018)
    A new method of fractals construction based on Fatou-Julia iteration is proposed. We develop a non-ordinary way to map fractal into a new fractal, where the mapping function is involved in the dynamics of the generated ...
  • Fen, Mehmet Onur; Fen, Fatma Tokmak (UNIV SZEGED, BOLYAI INSTITUTE, ARADI VERTANUK TERE 1, 6720 SZEGED, HUNGARY, 2018)
    In this study, we investigate the dynamics of impulsive systems driven by a chaotic system. It is shown that the response impulsive system replicates the sensitivity and the period-doubling cascade of the drive. Illustrative ...
  • Akhmet, Marat; Feckan, Michal; Fen, Mehmet Onur; Kashkynbayev, Ardak (UNIV SZEGED, BOLYAI INSTITUTE, ARADI VERTANUK TERE 1, 6720 SZEGED, HUNGARY, 2018)
    It is rigorously proved that a Li-Yorke chaotic perturbation of a system with a homoclinic orbit creates chaos along each periodic trajectory. The structure of the chaos is investigated, and the existence of infinitely ...
  • Geridönmez, Bengisen Pekmen (AMER INST MATHEMATICAL SCIENCES-AIMS, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA, 2018)
    In this study, natural convection in a porous, ferrofluid-filled cavity is numerically investigated utilizing the multiquadric (MQ) radial basis function (RBF) based pseudo spectral (PS) method. The influence of Kelvin ...
  • Akhmet, M.; Fen, M. O.; Tleubergenova, M.; Zhamanshin, A. (UNIV MISKOLC INST MATH, MISKOLC-EGYETEMVAROS, MISKOLC, H-3515, HUNGARY, 2019)
    The existence of unpredictable motions in systems of quasilinear differential equations with hyperbolic linear part is rigorously proved. We make use of the topology of uniform convergence on compact sets and the contraction ...
  • Fen, Mehmet Onur; Fen, Fatma Tokmak (SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS, 2019)
    The dynamics of retarded shunting inhibitory cellular neural networks (SICNNs) with rectangular input currents is investigated from the asymptotic point of view. It is rigorously proved that such networks possess homoclinic ...
  • Akhmet, Marat; Fen, Mehmet Onur; Alejaily, Ejaily Milad (SPRINGER HEIDELBERG, TIERGARTENSTRASSE 17, D-69121 HEIDELBERG, GERMANY, 2019)
    The sea surface temperature (SST) variability is clearly affected by global climate patterns, which involve large-scale ocean-atmosphere fluctuations similar to the El Nino-Southern Oscillation (ENSO). We give mathematical ...
  • Fen, Mehmet Onur; Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR-06100 ANKARA, TURKEY, 2019)
    The existence and uniqueness of unpredictable solutions in the dynamics of nonhomogeneous linear systems of differential and discrete equations are investigated. The hyperbolic cases are under discussion. The presence of ...
  • Geridonmez, Bengisen Pekmen (TAYLOR & FRANCIS INC, 530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106 USA, 2019)
    In this study, numerical simulation of hydrothermal behaviour of ethylene glycol based CuO nanofluid in a semi-annulus with a magnetic source is investigated. The non-dimensional governing equations are discretized by ...
  • Pekmen Geridönmez, Bengisen; Öztop, Hakan Fehmi (Elsevier Ltd, 2019)
    Natural convection flow in presence of partially applied magnetic field in a porous medium is investigated in this study. Partial magnetic field is applied horizontally in the direction of positive x-axis, and vertical ...

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