Ihsan Pehlivan

Sakarya University

New Generation Ball Mills have started to be preferred in milling systems regarding energy efficiency in recent years. In this article, modernization studies have been carried out to ensure that the current new generation ball mill (NGBM) operates on a chaotic basis. In experimental studies, chaotic signals loaded on the PLC device moved the millin...

https://dergipark.org.tr/en/pub/chaos/issue/77246

In traditional methods, a fixed object is taken as a reference for size determination. The size of the other object is calculated by comparing the dimensions of this reference object. However, when it is desired to measure objects at different heights, the measurement of the reference object must also be changed. In the study carried out, the size...

In this study, an interface design was carried out in order to provide convenience to the user in the control and monitoring of the Robot Operating System (ROS) based autonomous mobile robot (AMR). Qt Designer and Python were used in the interface design. Thanks to the designed interface, autonomous and manual control of AMR was provided. Using the...

Determining the stations of the autonomous mobile robot (AMR) in the factory environment is important in terms of optimizing the system for the shipment of products coming out of the production lines. In this context, studies such as navigating the AMR between stations, docking to the station, and assigning autonomous tasks to other stations are co...

In this study, it is aimed to show how important to apply chaotic systems and Fuzzy Logic artificial intelligence technique to increase the production performance of industrial mixers used in agriculture in terms of important criteria such as product quality, homogeneity, time, and energy saving by using. A PLC (Programmable Logic Controller) contr...

Öklid geometrisi kullanılarak düzensiz ve kompleks şekillerin modellenmesi eksik kalmaktadır. Fraktal geometri düzensiz, karmaşık ve kompleks yapıların matematiksel olarak ifade edilebilmesine imkan vermektedir. Fraktal geometri doğanın içinde düzensizmiş gibi görünmesine rağmen incelendiğinde düzenli bir şeklin tüm görüntüde tekrarlandığı yapılard...

In this study, an equation is derived by changing the parameter values of a chaotic system in the literature and analyzing its chaotic behavior. In the analysis of chaotic behaviors, chaotic system analyses such as phase portraits, sensitivity to initial conditions, Lyapunov exponential spectrum and dimension analysis, bifurcation diagram with Matl...

In this work, we devise a new 5-D hyperchaotic dynamo system by adding two feedback controllers to the Rikitake 2-disk dynamo system (1958). We show that the new 5-D hyperchaotic system does not possess any equilibrium point and deduce that the new 5-D system has a hidden hyperchaotic attractor. Using Multisim, we develop an electronic circuit desi...

Metaheuristic based artificial intelligence algorithms are commonly used in the solution of optimization problems. Another area -besides engineering systems- where chaos theory is widely employed is optimization problems. Being applied easily and not trapping in local optima, chaos-based search algorithms have attracted great attention. For example...

In this study; it is aimed to increase the efficiency of the mixers in terms of important criteria such as product quality, homogeneity, time and energy saving by using chaotic systems instead of traditional mixing methods in the production of humic acid, which is one of the most widely used plant nutrition and soil conditioning products in our cou...

In this study, a new chaotic mixer based on delta robot was designed and produced which had been controlled with Arduino Uno card and MATLAB. First of all, chaotic mixing systems with different dynamic properties were chosen for the chaotic mixing process. Then, by solving the chaotic systems selected in the MATLAB with Runge Kutta 45 (RK45) numeri...

Partially insufficient is the modelling of irregular and complex forms using Euclidean geometry. On the other hand, fractal geometry allows irregular complex forms and structures to be expressed in mathematical terms. While fractal geometry appears to be irregular in nature, when analyzed, it is the structures in which a regular form is replicated...

In this paper, a novel chaos-ring based dual entropy core TRNG architecture on FPGA with high operating frequency and high throughput has been performed and presented. The design of dual entropy core TRNG has been generated by uniting the chaotic system-based RNG and the RO-based RNG structures on FPGA. The chaotic oscillator structure as the basic...

This paper describes the modelling, bifurcation analysis, circuit realisation and FPGA implementation of a novel ANN-based four-dimensional two-disk dynamical system exhibiting hyperchaos and hidden attractor. This paper provides a detailed analysis of the multistability, coexisting attractors and bifurcation properties of the novel two-disk dynami...

This paper describes the modelling, bifurcation analysis, circuit realisation and FPGA implementation of a novel ANN-based four-dimensional two-disk dynamical system exhibiting hyperchaos and hidden attractor. This paper provides a detailed analysis of the multistability, coexisting attractors and bifurcation properties of the novel two-disk dynami...

Chaotic systems and signals are used in a variety of technical and technical applications due to their wide range of noise-like performance and random behavior. In this study to diversify potential chaotic signal generator circuits; Lu-Chen 2003 system with multi-scroll attractors was first designed an electronic oscillator circuit in a computer en...

Chaotic systems have several engineering applications such as cryptology, random number generators, image processing and secure communication. A basic structure used in these studies is a chaotic oscillator design that produces a chaotic signal. In this paper, 5-D hyperchaotic Lorenz system (Hu, 2009) has been implemented on FPGA using Heun algorit...

It is well observed that cryptographic applications have great challenges in guaranteeing high security as well as high throughput. Artificial neural network (ANN)–based chaotic true random number generator (TRNG) structure has not been unprecedented in current literature. This paper provides a novel type of high‐speed TRNG based on chaos and ANN i...

In this study, autonomous Lü-Chen (2002) chaotic system has been implemented on FPGA using Heun numerical algorithm in VHDL 32-bit IQ-Math fixed-point number format for developing embedded chaos-based engineering applications. The core units like multiplier, adder and subtractor units, which are compatible with fixed-point number standart used in F...

In this bilateral comparison the pre-defined time intervals between two pulses have been measured by using both the high speed oscilloscope and the time interval counter. The pulses used in the measurements have been generated by a modified delay generator which is commercially available. KEY WORDS FOR SEARCH Time interval measurement, time interva...

Chaotic systems have several engineering applications such as cryptology, random number generators, image processing and secure communication. A basic structure used in these studies is a chaotic oscillator design that produces a chaotic signal. In this paper, 5-D hyperchaotic Lorenz system (Hu, 2009) has been implemented on FPGA using Heun algorit...

The base of encryption techniques is random number generators (RNG). The application areas of cryptology are increasing in number due to continuously developing technology, so the need for RNGs is increasing rapidly, too. RNGs can be divided into two categories as pseudo random number generator (PRNG) and true random number generator (TRNG). TRNGs...

A strange novel three-dimensional quadratic continuous autonomous chaotic system with fully golden proportion equilibria is proposed. It has only seven terms, three quadratic nonlinearities and one parameter ’a’. The system equations have four equilibrium points and very interestingly all the equilibrium points have fully Golden Proportion values....

Data encryption has always been a topical subject. There are many encryption methods in the literature. Chaos‐based encryption is considered a different area of study among the encryption practices. In this study, a novel interface was designed for chaos‐based encryption to be used as an educational tool in cryptology. With this interface, the chao...

The chaos theory which has been working theoretically and practically for the past several decades, has been adapted to many physical systems [1-5]. High complexities and unpredictable behaviors are essential characteristics of a chaotic system. Sensitive dependence on initial conditions is another important feature of a chaotic system. In this wor...

In this study, a novel chaos-based hybrid encryption algorithm design for secure and effective image encryption is presented. To design the algorithm, the Zhongtang chaotic system has been selected because of its rich dynamic features and its dynamical analysis is performed. On the base of this system, a new chaos-based random number generator (RNG...

Due to accurate capability to detect weak signal, chaotic oscillators have become an interesting topic for many scientific researches. In this paper, two hyperchaotic Lorenz systems are presented to detect weak signal. These systems are chosen because of their parametric variety and high applicability. Dynamic behaviors of two hyperchaotic systems...

A biometric is physical or behavioral traits of a person in the visible or hidden form and are used to identify the user uniquely. Vein recognition is one of a popular Biometrics technique for identifying people. The shape of the vein remains unchanged when human being grows. Vascular patterns are stable, unique to each individual even identical tw...

In this study, we present a new approach for real-time implementation of continuous-time autonomous Lü-Chen (2002) chaotic system on FPGA (Field Programmable Gate Array). In the presented approach, the Lü-Chen chaotic system is designed on IQ-Math fixed-point number format on FPGA. The design was implemented using the Heun algorithm, which is one o...

The number of attempts to break modern encryption methods increases day by day and therefore the need for the design of systems to ensure higher security has occurred. This study aims, an encryption algorithm that combines the strong of asymmetric encryption algorithm and the rich dynamic behaviors of chaotic systems is developed. In this study, fi...

In this study, we investigated the FitzHugh-Nagumo (FHN) neuron model, which is a simplified form of the Hodgkin-Huxley (HH) Neuron Model which is complicated and which is stimulated by an external current. It was aimed to test the model by means of numerical simulation programs and to present alternative circuit implementation using analogous oper...

In this paper, an illustrative comparison of an integer order and a fractional order nonlinear system is presented. Firstly, an integer order nonlinear system's behavior examined in PSpice software by realizing its corresponding electronic circuit. After that, a fractional order of the nonlinear system is examined. The numerical calculation of the...

In this paper, several behaviors of a well-known biological neuron model of the Hindmarsh-Rose are introduced. Basic properties of the HR neuron model for several behaviors are analyzed by means of phase portraits, bifurcation diagram and Lyapunov exponents spectrum. Furthermore electronic circuit designs of the HR neuron model for different behavi...

An exhaustive analysis of a four-wing chaotic system is presented in this paper. It is proved that the evolution range of some variables can be modulated easily by one coefficient of a cross product term. An amplitude-adjustable chaotic circuit is designed, which shows a good agreement with the theoretical analysis. Also, in this article a microcon...

In this study, an encryption algorithm that uses chaos based S-BOX is developed for secure and speed image encryption. First of all, a new chaotic system is developed for creating S-Box and image encryption algorithm. Chaos based random number generator is designed with the help of the new chaotic system. Then, NIST tests are run on generated rando...

Substitution Box (S-Box) is one of the most significant structures used to create an encryption which is strong and resistant against attacks in block encryption algorithms. S-Box plays an important role in data encryption. This paper presents a novel S-Box generation algorithm design based on scaled Zhongtang chaotic system. In this study, a new r...

Kaos tabanlı mühendislik uygulamaları kriptografi, güvenli haberleşme ve rasgele sayı üreteci gibi pek çok alanda kullanılmaktadır. Kaos tabanlı uygulamalarda kullanılan önemli yapılardan birisi de kaotik üreteçtir. Bu çalışmada, yeni bir 3 boyutlu kaotik sistem, FPGA üzerinde 32-bit IQ-Math sabit noktalı sayı formatı kullanarak modellenmiş ve VHDL...

In this paper, a new three-dimensional continuous quadratic autonomous chaotic system is introduced. Basic properties of the new system are analyzed by means of system phase portraits, high sensitivity dependence to initial conditions, Lyapunov exponents spectrum and chaotic behaviors. Furthermore the proposed chaotic system has been modeled under...

The chaos theory, aiming to analyse the behaviour of nonlinear dynamic systems, has been the research area of many scientists in various disciplines. Having the properties such as sensitiveness to initial conditions, unpredictability and being deterministic make chaotic systems suitable for secure communication, data encryption and signal masking....

In this article, a new algorithm that can encrypt data on TCP data segment by using a novel chaotic random number generator was developed. First of all, dynamic analyses of the chaotic system to be used were made and the original pseudo-random number generator (PRNG) with a new approach was designed. Key series produced by PRNG was tested on NIST a...

In this paper we investigate a new system of three coupled nonlinear ordinary differential equations, whose dynamics support periodic and chaotic attractors as certain parameters vary. In its most general form, the system has nine parameters. However we can set up to three of these parameters to zero, and still obtain complex dynamics. Here we disc...

In this paper, we present a new sinusoidal chaotic attractor and its weak signal detection application. This new system has a simple structure, parametric variety and high applicability. Its dynamic characteristics are studied in detailed. Firstly, the relationship between the system state and the amplitude of the forcing term is defined by examini...

In this paper, a new three-dimensional chaotic system is introduced, which contains the quadratic, cubic and quartic nonlinearities. Basic dynamical characteristics of this new system are studied such as equilibria, eigenvalue structures, Lyapunov exponent spectrum, fractal dimension and chaotic behaviors. Moreover, this paper investigates bifurcat...

In this study, the continuous-time, autonomous, 3D chaotic system having golden-section equilibra which is recently presented in the literature is implemented firstly as discrete time on an FPGA. In this design, the 3D chaotic system was programmed in 32-bit IQ-Math (16I-16Q) fixed-point number format using VHDL and Heun algorithm. The designed sys...

There has recently been an increase in the number of new chaotic system designs and chaos-based engineering applications. In this study, since homoclinic and heteroclinic orbits did not exist and analyses like Shilnikov method could not be used, a 3D chaotic system without equilibrium points was included and thus different engineering applications...

This paper presents a novel hardware implementation of Artificial Neural Networks (ANNs) for modeling of the Pehlivan-Uyaroglu Chaotic System (PUCS) on Field Programmable Gate Array (FPGA). There are two main parts in the proposed work. In the first part, a 3-8-3 Feed Forward Neural Network (FFNN) has been created using Matlab R2015a. The training...

In this paper, a new three-dimensional chaotic system without equilibrium points is introduced and analysed. Basic dynamical analysis of this new chaotic system without equilibrium points is carried out by means of system equilibria, phase portraits, sensitivity to initial conditions, fractal dimension and chaotic behaviours. In addition, in this p...

This study presents a new three dimensional continuous time chaotic system. Dynamical analysis and numerical simulation of the new chaotic system were first carried out. Then electronic circuit design of the new chaotic system was implemented considering practical applications. The numerical and electronic circuit simulation results were found to b...

A novel chaotic attractor with a fractal wing structure is proposed and analyzed in terms of its basic dynamical properties. The most interesting feature of this system is that it has complex dynamical behavior, especially coexisting attractors for particular ranges of the parameters, including two coexisting periodic or strange attractors that can...

In this paper, Shimizu-Morioka Chaotic System (SMCS) is modelled using Feed Forward Artificial Neural Network. In the realized network model, Log-Sigmoid and Purelin transfer functions have been used for hidden and output layer, respectively. 3-10-3 network structure is created using MATLAB. The model inputs are the state variables of SMCS. Outputs...

In this article, a study on increasing security of audio data encryption with single and double dimension discrete-time chaotic systems was carried out and application and security analyses were executed. Audio data samples of both mono and stereo types were encrypted. In the application here, single and double dimension discrete-time chaotic syste...

In this study, a new continuous-time autonomous chaotic system has been presented and implemented on FPGA. Presented a new chaotic system has been designed using the IEEE 754-1985 floating-point format and implemented using Heun algorithm with VHDL language. The designed system has been synthesized and tested on Xilinx Virtex-6 FPGA chip. According...

In recent years, Artificial Neural Networks (ANN) have been used widely in the areas of prediction, classification, control, optimization, analysis of complex problems, and modelling of the non-linear systems. In this paper, the modelling of Pehlivan-Uyaroglu_2010 Chaotic System (PUCS) [1], which is presented by Pehlivan and Uyaroglu in 2010, is re...

Abstract— Chaos technique has been used in science branches such as engineering, medicine and biology, in order to describe nonlinear phenomena, and in architecture and fine arts due to its fractal features. Chaotic systems have also been utilised for secure communication by virtue of their sensitive dependence to initial conditions, hardness of es...

Attractor merging can exist in chaotic systems with some kind of symmetry, which makes it possible to form a four-wing attractor from a bistable system. A relatively simple such case is described, which has robust chaos varying from a pair of coexisting symmetric single-wing attractors to a double-wing butterfly attractor, and finally to a four-win...

Currently, chaotic systems and chaos-based applications are commonly used in the engineering fields. One of the main structures used in these applications is the chaos-based signal generators. Chaotic signal generators have an important role, particularly in chaotic communication and cryptology. In this study, the Pehlivan-Wei chaotic system, which...

Chaos science is also used in the fields of medicine, biology and finance besides in the engineering fields such as communications, electronics and computer. Up till today, many different chaotic systems have been introduced in the literature in order to be used in these fields. The majority of these systems have usually been examined numerically a...

Currently, chaotic signal generators is of importance in cryptographic applications and chaotic communication systems. One of the significant field of the chaotic signal oscillators are random number generators. In this paper, an FPGA-based new true random number generator system using discrete-time chaotic signal generator is presented. The system...

Chaos and chaotic systems have many fields of applications. One of the popular practical applications is secure communication. Chaotic signals depend on initial conditions very sensitively. Chaos-based secure communication systems have been the alternative of the standard spread-spectrum systems, since they are able to spread the spectrum of the in...

In this study, a chaos based encryption method with nonlinear equations in MATLAB environment is proposed to increase communication security. Encryption methods that generated by using the properties of three different chaos generators are analyzed. Logistic Map, Pinchers Map and Sine-Circle Map chaos generators which are commonly referred in the l...

By introducing a feedback control to a classic DLE system (diffusionlessLorenzequations), an extremely complex hyperchaotic attractor with no equilibria is derived. Based on adaptive control and Lyapunov stability theory, we design a reduced-order projective synchronization scheme for synchronizing the hyperchaotic DLE coexist with no equilibriaand...

In this study, the Burke-Shaw chaotic system has been modeled in three different platforms. In the first stage, the chaotic system has been modeled numerically with the RK5-Butcher algorithm, and the obtained time series and phase portraits are presented. In the second stage, the chaotic system has been modeled with analog circuit components. The r...

Nowadays, many simulations, implementations, synchronization and secure communication applications of chaotic circuits have been introduced in literature. However, electronics circuit design and implementation of nonlinear Sprott Case H chaotic system and its synchronization were not found in the literature. In this paper, numerical model, electron...

In this paper, the numerical model and electronic circuit model using Pspice of Sprott 94 S system is presented. The chaotic system modelling with electronic circuit elements is realized physically. Besides, the synchronization of Sprott 94 S system is fulfilled using Pspice program. In realized synchronization, Sprott 94 S chaotic oscillators that...

This article introduces a new three-dimensional quadratic continuous autonomous chaotic system with golden proportion equilibria, which can generate single folded attractor. Some basic dynamical behaviors and the dynamical structure of the new chaotic system are investigated either analytically or numerically. Finally, the chaos generator of the ne...

In this paper, Simulink and Pspice modeling of the Burke-Shaw chaotic system are introduced. Synchronization studies of the modeled chaotic systems were performed using Pecora-Carroll (P-C) method. Usability of the Burke-Shaw chaotic system for signal masking and secure communication applications was showed as a result of the synchronization of mod...

In this paper, we introduce a new 3-dimensional quadratic continuous autonomous chaotic system. This system can generate strange and interesting attractors. Some basic dynamical properties, such as bifurcations, and chaotic behaviors of the new chaotic system are investigated analytically and numerically. We propose a nonlinear control scheme to di...

This paper carries out the coexistence of chaotic attractors and stable equilibria in a generalized Sprott C system with only two stable equilibria. The discovery of this result is striking, because one typically would anticipate non-chaotic and even asymptotically converging behaviors. The simulation results are verified with a circuit implementat...

This article introduces a novel three-dimensional autonomous chaotic system with a single cubic nonlinearity. Several issues, such as the basic dynamical behaviour, equilibria, Lyapunov exponent spectrum, and bifurcations of the new chaotic system, are investigated analytically and numerically. Next, adaptive control laws are designed to stabilize...

This paper introduces a new chaotic system of three-dimensional autonomous ordinary differential equations, which can display strange four-scroll stellate chaotic attractors simultaneously. Some basic dynamical behaviors of the new system investigated via theoretical analysis by means of equilibria and lyapunov exponent spectrum. Finally, the chaos...

The nonlinear autonomous Sprott94 Case A chaotic equations are algebraically simple but can generate a complex chaotic attractor. In this paper, the Sprott94 Case A system is found suitable for chaotic synchronization circuits and chaotic masking communication circuits using Matlab–Simulink® and Orcad–PSpice® programs. Simulation results are used t...

In this paper, Rucklidge attractor's chaotic oscillator, synchronization and masking communication circuits were designed and simulated. The electronic circuit oscilloscope outputs of the realized Rucklidge system is also presented. Simulation and oscilloscope outputs are used to illustrate the accuracy of the designed and realized Rucklidge chaoti...

In this paper, Rucklidge attractor's chaotic oscillator, synchronization and masking communication circuits were designed and simulated. The electronic circuit oscilloscope outputs of the realized Rucklidge system is also presented. Simulation and oscilloscope outputs are used to illustrate the accuracy of the designed and realized Rucklidge chaoti...

This article introduces a novel three-dimensional continuous autonomous chaotic system with six terms and two quadratic nonlinearities. The new system contains two variational parameters and exhibits Lorenz-like attractors in numerical simulations and experimental measurements. The basic dynamical properties of the new system are analyzed by means...

Diffusionless Lorentz equations a simplified one-parameter version of the well-known Lorentz model. Also, it was attained in the limit of high Rayleigh and Prandtl numbers, physically corresponding to diffusionless convection. A simplified, one-parameter version of the Lorentz model called diffusionless Lorentz is proposed, which is suitable for ch...

The Rikitake chaotic dynamical system is a model which attempts to explain the irregular polarity switching of the geomagnetic field. The system exhibits Lorenz-type chaos and orbiting around two unstable fixed points. In the present study, chaotic Rikitake attractor`s electronic circuit was implemented and it is addressed suitable for chaotic sync...

The Rikitake chaotic dynamical system is a model which attempts to explain the irregular polarity switching of the geomagnetic field. The system exhibits Lorenz-type chaos and orbiting around two unstable fixed points. In the present study, chaotic Rikitake attractor's electronic circuit was implemented and it is addressed suitable for chaotic sync...