Opticianry
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Öğe Synchronization Analysis of a Master-Slave BEC System via Active Control(GAZI UNIV., 2023-02-18) Tosyalı, Eren; Aydoğmuş, FatmaThis 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.Öğe 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, FatmaThis 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.