Yazar "Aybar, Orhan Özgür" için listeleme
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Assessment of the impact of fouling on vessel energy efficiency by analyzing ship automation data
Erol, Erdeniz; Özen Cansoy, C. Elif; Aybar, Orhan Özgür (Elsevier Sci Ltd, 2020)Shipbuilding and shipping areas are technically dependent to each other since shipping is the end user in the shipbuilding industry. One of the biggest maritime challenges arose due to regulations about emissions and has ... -
Biochemical models of SIR and SIRS: Effects of bilinear incidence rate on infection-free and endemic states
Aybar, Orhan Özgür (AIP Publishing, 2023)Understanding and forecasting the progression of disease epidemics is possible through the study of nonlinear epidemic biochemical models that describe the relationship among susceptible, infected, and immune individuals ... -
Chaotic behavior of light-assisted physical aging in arsenoselenide glasses
Shpotyuk, O.I.; Balitska, V.O.; Kozdras, A.; Hacinliyan, A. S.; Skarlatos, Y.; Aybar, İlknur Kuşbeyzi (Amer Inst Physics, 2014)The theory of strange attractors is shown to be adequately applicable for analyzing the kinetics of light-assisted physical aging revealed in structural relaxation of Se-rich As-Se glasses below glass transition. Kinetics ... -
Dynamical analysis of a two prey-one predator system with quadratic self interaction
Aybar, İlknur Kuşbeyzi; Aybar, Orhan Özgür; Dukaric, Musa; Fercec, B. (Elsevier Science Inc, 2018)In this paper we investigate the dynamical properties of a two prey-one predator system with quadratic self interaction represented by a three-dimensional system of differential equations by using tools of computer algebra. ... -
An exploration of solutions to two related Hofstadter-Huber recurrence relations
Alkan, Altuğ; Fox, Nathan; Aybar, Orhan Özgür; Akdeniz, Zehra (Pergamon-Elsevier Science Ltd, 2020)In this study, we explore the properties of certain solutions of two Hofstadter-Huber recurrence relations. The first is Hofstadter's V-recurrence, which is defined by the nested recurrence relation V(n) = V(n - V (n - 1)) ... -
Identifying weak foci and centers in the Maxwell-Bloch system
Liu, Lingling; Aybar, Orhan Özgür; Romanovski, Valery G.; Zhang, Weinian (Academic Press Inc Elsevier Science, 2015)In this paper we identify weak foci and centers in the Maxwell Bloch system, a three dimensional quadratic system whose three equilibria are all possible to be of center-focus type. Applying irreducible decomposition and ... -
Implementation of a triangular probabilistic distribution for optimal parametrization of the SEIR model recovery rates with delay
Aybar, Orhan Özgür; Şentürk, Mustafa (American Institute of Physics Inc., 2023)Dynamical analysis of epidemiological models received significant attention after the global disaster of the Covid-19 pandemic. Although much of the attention has focused on choosing the appropriate model to describe and ... -
Invariant Analysis for an Extended Lorenz System
Aybar, Orhan Özgür; Fercec, Brigita (Centre Environment Social & Economic Research Publ-Ceser, 2018)One of the well-known chaotic systems is the Lorenz system. The algebraic properties of the Lorenz system have been studied extensively since 1960s. In this study we investigate the algebraic invariants of an extended ... -
Investigation of Invariants of a Chemical Reaction System with Algorithms of Computer Algebra
Aybar, İlknur Kuşbeyzi; Aybar, Orhan Özgür; Fercec, Brigita; Romanovski, Valery G.; Samal, Satya Swarup; Weber, Andreas (Univ Kragujevac, Fac Science, 2015)In this paper the qualitative study of a reversible chemical reaction model represented by a three-dimensional system of ordinary differential equations with nine parameters is performed. Algebraic invariant surfaces of ... -
Limit Cycles of the Schnakenberg Chemical Reaction Model
Aybar, I.K.; Fercec, B.; Aybar, O.O.; Dukaric, M. (Springer Science and Business Media B.V., 2021)Dynamical systems contribute to the mathematical modeling of chemical reactions of biological or ecological phenomena producing limit cycle oscillations. In this study, we present a computational approach to examine the ... -
Low-dimensional deterministic chaos in thermally-induced physical aging of as10se90 glass probed with nonlinear time-series method
Shpotyuk, O.I.; Hacinliyan, A.S.; Balitska, V.O.; Kozdras, A.; Skarlatos, Y.; Aybar, İlknur Kuşbeyzi (ISAST: International Society for the Advancement of Science and Technology, 2015)Nonlinear time-series method with the help of the TISEAN Program is applied to study the chaotic behavior in physical aging of A10S90 glass accelerated with thermal annealing at 40 °C. The kinetics of enthalpy losses was ... -
On families of solutions for meta-fibonacci recursions related to hofstadter-conway $10000 sequence
Alkan, Altuğ; Aybar, Orhan Özgür (Springer, 2020)Hofstadter-Conway $10000 sequence is a famous meta-Fibonacci sequence which is defined by recurrence relation c(n) = c(c(n-1)) + c(n-c(n-1)) with c(1)=c(2)=1. Based on its amazing fractal-like structure, in this study, we ... -
On Hofstadter Heart Sequences
Alkan, Altuğ; Fox, Nathan; Aybar, Orhan Özgür (Wiley-Hindawi, 2017)The Hofstadter Q-sequence and the Hofstadter-Conway $10000 sequence are perhaps the two best known examples of meta-Fibonacci sequences. In this paper, we explore an unexpected connection between them. When the Q-sequence ... -
Qualitative analysis of the minimal higgins model of glycolysis
Fercec, Brigita; Mencinger, Matej; Petek, Tatjana; Aybar, Orhan Özgür; Kuşbeyzi Aybar, İlknur (University of Kragujevac, Faculty of Science, 2023)Glycolysis, one of the leading metabolic pathways, involves many different periodic oscillations emerging at positive steady states of the biochemical models describing this essential process. One of the models employing ... -
Supercritical Hopf Bifurcations in Two Biochemical Reaction Systems
Fercec, Brigita; Dukaric, Masa; Aybar, Orhan Özgür; Aybar, İlknur Kuşbeyzi (Univ Kragujevac, Fac Science, 2021)The characteristics of models representing biochemical phenomena exhibit complicated steady states and numerous state transitions that remain interesting in applications. Examining these states by combining the effective ...
