Uğur Erkin Kocamaz

Bursa Uludağ University · Department of Computer Technologies, Vocational School of Karacabey

In 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. https://doi.org/10.1007/BF02458847, 1988). Lyapunov based nonlinear control an...

Having found hidden hyperchaos in a 5D self-exciting homopolar disc dynamo, we study the existence of a Hopf bifurcation, which leads to unstable limit cycles bifurcating from a stable equilibrium. Hidden chaos with only stable equilibria can be observed from the Hopf bifurcation: a typical way to enable hidden attractors to be located. We then pro...

In 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,...

Chaotic 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 th...

In recent years, various chaotic systems have been introduced in literature to be used in different branches of science. In the field of secure chaotic communication, more complex chaotic systems are proposed, such as high dimensional (4D, 5D), multi-scroll, surface equilibrium point, to enhance communication security level. In this study, a chaoti...

This work deals with the passive control-based chaos synchronization with circuit design for secure communication. First, the numerical simulation and electronic circuit design of a simple five-term chaotic system are performed. The numerical simulation and electronic circuit design outputs have confirmed each other. Then, the passive control metho...

This paper deals with the control of the memristor-based simplest chaotic circuit by means of only one-state controller. Three distinct control techniques, namely linear feedback control, sliding mode control, and nonlinear control, are examined for the control. Routh–Hurwitz stability criteria are used for constructing the linear feedback and slid...

In this paper, a novel control method that combines passive, linear feedback, and dislocated feedback control methods is proposed and applied to the control of the four-dimensional hyperchaotic finance system which has been introduced and controlled with the linear feedback and speed feedback control methods by Yu, Cai, and Li (2012). The stability...

In this study, a new reaching rule in the Sliding Mode Control (SMC) is proposed for chaos control and synchronization. It is applied on the nonlinear Chua's circuit. The SMC signals are provided with the Lyapunov stability theory. Classical, cubic and partial cubic variants of SMC signals are constructed. Numerical simulations are performed to com...

This study deals with controlling the chaotic motion of flow in a thermal convection loop by using a sliding mode control signal. Time series, two-dimensional phase plots and three-dimensional phase plane of the chaotic flow in the thermal convection are presented graphically from its differential equations. Based on the sliding mode control theory...

In this study, based on the mathematical model of a nonlinear three-dimensional multi-trophic ecological model, chaos synchronization is investigated by using the active control technique with uncertain parameters. Using the active control theory, the synchronization errors are ensured to zero. Designed controllers are applied to the chaotic multi-...

We introduce and investigate a four-dimensional hidden hyperchaotic system without equilibria, which is obtained by augmenting the three-dimensional self-exciting homopolar disc dynamo due to Moffatt with an additional control variable. Synchronization of two such coupled disc dynamo models is investigated by active control and sliding mode control...

Various artiicial intelligence techniques are used in order to make prospective estimations with available data. The most common and applied method among these artiicial intelligence techniques is Artiicial Neural Networks (ANN). On the other hand, another method which is used in order to make prospective estimations with available data is Trend An...

This chapter investigates the control of continuous time Shimizu–Morioka chaotic system with unknown system parameters by means of three different control approaches, namely passive control, sliding mode control and backstepping design. Based on the properties of sliding mode control theory, the appropriate surfaces are designed. Lyapunov functions...

In this paper, two different Artificial Neural Network (ANN) techniques, namely the Feed-Forward Neural Networks (FFNNs) and the Radial Basis Function Neural Networks (RBFNNs), are used for the prediction of the daily water level of Lake Van. The water level fluctuations of Lake Van have been changing throughout history due to global warming proces...

In this paper, two different control methods, namely sliding mode control and passive control, are investigated for the synchronization of two identical chaotic finance systems with different initial conditions. Based on the sliding mode control theory, a sliding surface is determined. A Lyapunov function is used to prove that the passive controlle...

In the above paper, the authors proposed a search algorithm for finding simple chaotic systems with quadratic nonlinearities which have the unusual feature of having a line equilibrium and introduced nine novel chaotic flows. However, the equations of 4th-9th chaotic flows were incorrectly given. In this letter, the correct equations are presented...

SUMMARY This paper investigates the control of the continuous time Rabinovich chaotic system with the sliding mode control method. Based on the properties of the sliding mode theory, the controllers are designed and added to the nonlinear Rabinovich system. Numerical simulations show that the Rabinovich chaotic system can be regulated to its equili...

In this paper, the control of chaos with a single controller, which provides simplicity in implementation, is investigated in continuous time nonlinear Rucklidge system. For this purpose, a linear feedback controller and a passive controller are constructed and added to the Rucklidge chaotic system. Lyapunov function is used to realize that the con...

This study investigates the control of continuous time chaotic Arneodo system by means of passive control method. Based on the properties of passivity, passive controllers are designed and added to the nonlinear Arneodo system. Lyapunov function is used to realize that the passive controllers ensure the global asymptotic stability of the system. Ow...

This paper aims to control a hyperchaotic finance system which was introduced by Ding, Yang and Yao in 2009. The control of finance systems has great importance because it reduces the risks and facilitates stable economic growth. For this purpose, sliding mode control of hyperchaotic finance system has been investigated. Time series from the hyperc...

Since the idea of synchronizing two identical chaotic systems under different initial conditions was first introduced by Pecora and Carroll, the synchronization of chaotic systems has attracted much attention, and the synchronization of non-identical chaotic systems has also been investigated. Single-Machine Infinite-Bus (SMIB) power system has non...

In this study, active and passive control techniques are applied for the synchronization of two identical Vilnius chaotic oscillators. The differential equations of Vilnius oscillator are described according to its circuit model. Based on Lyapunov function, the active and passive controllers are used to realize the synchronization of Vilnius chaoti...

This paper presents the synchronization of two identical chaotic supply chains that have different initial conditions with Adaptive Neuro-Fuzzy Inference System (ANFIS) based controllers. First, the active controllers which were constructed by Göksu, Kocamaz and Uyaroglu in 2012 are described. Then, a hybrid direct ANFIS control method is designed...