Yazar "Aydoğmuş, Fatma" seçeneğine göre listele

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    Common Behaviors of Spinor-Type Instantons in 2D Thirring and 4D Gursey Fermionic Models
    (Hindawi Ltd, 2014) Tosyalı, Eren; Aydoğmuş, Fatma
    We investigate two examples of conformal invariant pure spinor fermionic models, which admit particle-like solutions of the classical field equations. For different dimensions and quantum spinor numbers, the vector field visualizations of the models are constructed to provide a better understanding of the spinor-type instanton dynamics in phase space. The hierarchical cluster analysis method investigations of the models are also presented. Finally, the autocorrelation and power spectrum graphs of models are constructed and frequencies of motions are defined.
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    Master-slave synchronization of Bose-Einstein condensate in 1D tilted bichromatical optical lattice
    (INST Condensed Matter Physics NATL ACAD Sciences Ukranie, 2020) Tosyalı, Eren; Aydoğmuş, Fatma
    This paper investigates the synchronization of chaotic behavior in a model of Bose-Einstein condensate (BEC) held in a 1D tilted bichromatical optical lattice potential by using the active control technique. The synchronization is presented in the master-slave configuration which implies that the master system evolves freely and drives the dynamics of the slave system. Also the numerical simulations are given to indicate the practicability and the effectiveness of the used controllers.
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    Synchronization Analysis of a Master-Slave BEC System via Active Control
    (GAZI UNIV., 2023-02-18) Tosyalı, Eren; Aydoğmuş, Fatma
    This paper will focus on theoretical treatment of the dynamic of the Bose-Einstein Condensate (BEC) systems contained different external trapping potentials. We construct the phase space diagrams and Lyapunov Characteristic Exponents (LCEs) for master and slave systems depended on the system parameters and propose a nonlinear control for the synchronization of systems in their chaotic states. The synchronization is obtained in master-slave scheme for different initial values. Numerical results are also given to show the efficiency of the used control technique.
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    THE EFFECT OF CHAOS THEORY ON THE PREDICTABILITY OF THE ATMOSPHERE
    (Bilal GÜMÜŞ, 2017) Aydoğmuş, Fatma; Tosyalı, Eren
    It is known that atmosphere is a dynamical system that constantly changing and moving. It is a very difficult problem to completely determine and explain the change in the atmosphere. But the mathematical models can help us to understand and explain the dynamical processes in the atmosphere. Examination of the movements of the atmosphere is one of the most exciting applications of chaos theory. The main goals of this presentation will be try to discuss the effect of chaos theory on the predictability of the atmosphere. For this purpose, we focus on one of the most specific examples of atmosphere events, is global climate change.