Master Degree / Yüksek Lisans Tezleri
Permanent URI for this collectionhttps://hdl.handle.net/11147/3008
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Master Thesis Implementation of Synchronized Chaotic Systems by Field Programmable Gate Array(Izmir Institute of Technology, 2008) Eroğlu, Can; Savacı, Ferit Acar; Savacı, Ferit Acar; 03.05. Department of Electrical and Electronics Engineering; 03. Faculty of Engineering; 01. Izmir Institute of TechnologyIn this thesis, the geometric properties of chaotic systems are used to determine their synchronization. First, each system is constructed with MATLAB Simulink blocks. Afterwards, feedback control system for synchronization of chaotic systems is proposed by using complete synchronization approach. In the next stage, Simulink designs are translated into System Generator design so that bitstream file which is used to program FPGA is obtained. Finally, the design is implemented into FPGA by dowloading bitstream file into FPGA. As an application of FPGAs the synchronization of chaotic systems have been achieved.Master Thesis Analysis of Stochastic Dynamical Systems(Izmir Institute of Technology, 2007) Güngör, Mesut; Savacı, Ferit Acar; Savacı, Ferit Acar; Savacı, Ferit Acar; 03.05. Department of Electrical and Electronics Engineering; 03. Faculty of Engineering; 01. Izmir Institute of TechnologyIn this thesis, analysis of stochastic dynamical systems have been considered in the sense of stochastic differential equations (SDEs). Brownian motion, which can be considered as a first example of stochastic dynamical systems, its derivation and its properties have been investigated, then the analytic and numerical solution methods of SDE have been studied with the examples from the physical world. In order to construct a random variable in a computer environment, random number generation algorithms have also been investigated. Finally a Matlab-Simulink block for numerical solutions of linear SDEs has been newly developed.Master Thesis Stochastic Resonance in Chua's Circuit Driven by Alpha-Stable Noise(Izmir Institute of Technology, 2012) Yılmaz, Serpil; Savacı, Ferit Acar; Savacı, Ferit Acar; 03.05. Department of Electrical and Electronics Engineering; 03. Faculty of Engineering; 01. Izmir Institute of TechnologyThe main aim of this thesis is to investigate the stochastic resonance (SR) in Chua's circuit driven by alpha-stable noise which has better approximation to a real-world signal than Gaussian distribution. SR is a phenomenon in which the response of a nonlinear system to a sub-threshold (weak) input signal is enhanced with the addition of an optimal amount of noise. There have been an increasing amount of applications based on SR in various fields. Almost all studies related to SR in chaotic systems assume that the noise is Gaussian, which leads researchers to investigate the cases in which the noise is non-Gaussian hence has infinite variance. In this thesis, the spectral power amplification which is used to quantify the SR has been evaluated through fractional lower order Wigner Ville distribution of the response of a system and analyzed for various parameters of alpha-stable noise. The results provide a visible SR effect in Chua’s circuit driven by symmetric and skewed-symmetric alpha-stable noise distributions. Furthermore, a series of simulations reveal that the mean residence time that is the average time spent by the trajectory in an attractor can vary depending on different alpha-stable noise parameters.