Person: KOCAMAZ, UĞUR ERKİN
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KOCAMAZ
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UĞUR ERKİN
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Publication Control of chaotic two-predator one-prey model with single state control signals(Springer, 2020-10-03) Kocamaz, Ugur Erkin; Goksu, Alper; Taskin, Harun; Uyaroglu, Yilmaz; KOCAMAZ, UĞUR ERKİN; Karacabey Meslek Yüksekokulu; Bilgisayar Teknolojileri Bölümü; 0000-0003-1172-9465; AAE-3356-2019In this paper, the complex control dynamics of a predator-prey Lotka-Volterra chaotic system are studied. The main purpose is to control the chaotic trajectories of two-predator one-prey system which was introduced by Samardzija and Greller (Bull Math Biol 50(5):465-491. 10.1007/BF02458847, 1988). Lyapunov based nonlinear control and sliding mode control methods are used. The other purpose of this paper is to present the sliding mode control performances under different sliding surface choices. Based on the sliding mode control and Lyapunov stability theory, four alternative sliding surfaces are constructed to stabilize the chaotic two-predator one-prey model to its zero equilibrium point. The focused control signals realize the control from only one state which provides simplicity in implementation. Numerical simulations are demonstrated to validate the theoretical analyses and compare the effectiveness of proposed controllers for the chaotic Samardzija-Greller system.Publication Secure chaotic communication with jerk chaotic system using sliding mode control method and its real circuit implementation(Springer International Publishing Ag, 2019-09-01) Çiçek, Serdar; Uyaroğlu, Yılmaz; Kocamaz, Uğur Erkin; KOCAMAZ, UĞUR ERKİN; Karacabey Meslek Yüksekokulu; 0000-0003-1172-9465; AAE-3356-2019Chaotic systems (CS) are chosen for secure communication owing to their interesting features. So, various CS and effective synchronization methods are introduced. Sprott's jerk chaotic system (SJCS) is one of the simplest CS. It consists of only five terms with one nonlinearity. So, the usage of jerk CS in communication reduces the complexity of the system. In this work, sliding mode control (SMC)-based chaos synchronization of SJCS with analog circuit design is implemented for secure chaotic communication. The advantages of this secure chaotic communication application are to use a simple chaotic jerk system and achieve the synchronization with only one state SMC signal. Totally, a cost-effective secure chaotic communication system is obtained. There is no chaotic communication application realized by any jerk chaotic system. Moreover, the SMC method has not been used for the synchronization of a jerk CS. Furthermore, most of the chaotic communication studies are given only as numerical simulations. Unlike the others works, the design of circuit of the chaotic communication system is implemented and tested for real-world applications. In the implemented application, the information signal which is sent from the transmitter unit has been successfully obtained from the receiver unit.Publication A novel five-term 3d chaotic system with cubic nonlinearity and its microcontroller-based secure communication implementation(Elsevier Gmbh, 2022-12-21) Gökyıldırım, Abdullah; Kocamaz, Uğur Erkin; Uyaroğlu, Yılmaz; Çalgan, Haris; Kocamaz, Uğur Erkin; KOCAMAZ, UĞUR ERKİN; Karacabey Meslek Yüksekokulu; 0000-0003-1172-9465; AAE-3356-2019Data security has gained importance over the years. Thus, cryptology is becoming a more popular phenomenon. In cryptology applications, a chaotic system with third- or higher-order terms is more difficult to decrypt. The main advantages of a system with fewer terms are easier to implement and cost-effective. Therefore, the motivation of this study is to introduce a new five-term 3D chaotic flow having cubic nonlinearity, a linear term, a constant term, and two other nonlinear terms. Despite the five-term hidden attractor with cubic nonlinearity in the literature, the proposed system has four equilibria, so it is a self-excited attractor. To examine the dynamical characteristic of the introduced system, we performed numerical analyses, such as time series, phase plains, equilibria, multistability, bifurcation, and Lyapunov spectra. Furthermore, the response and drive systems with different initial conditions obtained from the system were established, and their synchronization using only one control signal was applied. To prove the applicability of proposed system, its circuit implementation was realized by utilizing commercially available devices. An inventive microcontroller-based secure communication using the chaotic masking method was also designed and implemented. As expected, the demonstrated experimental results were in good agreement with the numerical analyses.Publication Synchronization between two different chaotic finance systems(Copicentro Granada S L, 2014-01-01) Kocamaz, Ugur Erkin; Uyaroglu, Yilmaz; Cagil, Gultekin; Torkul, Orhan; Ruiz, IR; Garcia, GR; KOCAMAZ, UĞUR ERKİN; Karacabey, Bilişim Teknolojileri Bölümü; 0000-0003-1172-9465; AAE-3356-2019In this paper, non-identical synchronization of chaotic finance systems is investigated. There are two different chaotic finance systems. They are described from their formulas; time series and phase space portraits are given graphically. Synchronization between them utilizes some benefits to economic advantages on account of acquiring the same interest rate, investment demand and price index. In order to synchronize these chaotic finance systems, active control method is proposed. Lyapunov function is used to ensure the asymptotic stability of error system. Simulation results are shown in figures to validate the synchronization between two different chaotic finance systems.Publication A new six-term 3D unified chaotic system(Springer, 2020-02-10) Can, Engin; Kocamaz, Uğur Erkin; Uyaroğlu, Yilmaz; KOCAMAZ, UĞUR ERKİN; Karacabey Meslek Yüksekokulu,; Bilgisayar Teknolojileri Bölümü; 0000-0003-1172-9465; AAE-3356-2019In this study, four different 3D five-term chaotic flows are unified and a novel six-term 3D unified chaotic system with three nonlinearities is introduced. Firstly, the theoretical system via an electronic circuit is realized, and then the basic dynamical properties of the proposed unified chaotic system are numerically and analytically analyzed, i.e., sensitivity to initial conditions, equilibrium points, eigenvalues, Kaplan-Yorke dimensions, dissipativity, Lyapunov exponents and bifurcation diagrams. Investigation results clearly present that this is a new unified chaotic system and earns further detailed disquisition.