Browsing by Author "Fercec, Brigita"
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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 ... -
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 ...