Article
Mathematics, Interdisciplinary Applications
Mohammed Almuzaini, Abdullah Alzahrani
Summary: The study proposes a new chaotic system with a cubic non-linear term and investigates various characteristics of the system such as equilibria, stability, invariance, dissipation, Lyapunov dimension, and Lyapunov exponents. The electronic circuit and signal flow graph are implemented to demonstrate the applicability of the chaotic system. The study also focuses on achieving complete synchronization between two similar novel chaotic systems and applying it in secure communication using Lyapunov stability theorem.
FRACTAL AND FRACTIONAL
(2023)
Article
Physics, Multidisciplinary
Lilian Huang, Wenya Li, Jianhong Xiang, Genglei Zhu
Summary: In this paper, a finite-time adaptive synchronization method based on sliding-mode control is introduced to achieve the generalized projective synchronization of fractional-order memristor chaotic systems with unknown parameters. By designing a new fractional-order integral sliding-mode surface, a controller with adjustable parameters, and adaptive laws, the synchronization error system can reach the sliding-mode surface in finite time and the unknown parameters can be identified. Numerical simulations demonstrate the effectiveness of the proposed synchronization strategy in achieving generalized projection synchronization and unknown parameter identification of fractional-order memristor chaotic systems in a short time.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2022)
Article
Materials Science, Multidisciplinary
Mati Ur Rahman, M. A. El-Shorbagy, Hussam Alrabaiah, Dumitru Baleanu, Manuel De la Sen
Summary: This study investigates a modified conservative 4D chaotic system using both integer and non-integer order derivatives. Various aspects of the model are explored, and hidden and fixed point chaotic attractors are found for certain fractional order values.
RESULTS IN PHYSICS
(2023)
Article
Chemistry, Multidisciplinary
Jacek Kabzinski, Przemyslaw Mosiolek
Summary: This study addresses and solves the problem of master-slave synchronization of two different chaotic systems under a novel set of assumptions. A new approach is proposed, which is based on the active cooperation of the adaptive observer of the master system and adaptive controller of the slave, while avoiding overparameterization through the tuning function technique. The stability of the closed-loop system is derived using Lyapunov techniques, and implementation examples are provided.
APPLIED SCIENCES-BASEL
(2022)
Article
Materials Science, Multidisciplinary
Shaofu Wang
Summary: By employing linear entropy, a discrete quantum logistic chaotic map is introduced to study the dynamical evolution of the quantum radiation field interacting with matter by changing independent parameters. The effects observed include chaotic properties of quantum optics and a quantum classical correspondence. Coherence dynamics of phase space is used to reveal the chaos and regular structure. Furthermore, an approach for fast adaptive synchronization of the discrete quantum maps is proposed, with results validating its effectiveness.
RESULTS IN PHYSICS
(2023)
Article
Automation & Control Systems
Sanjay Kumar, Ahmed E. Matouk, Harindri Chaudhary, Shashi Kant
Summary: This article introduces the basic concepts of fractional calculus and control, discussing the existence and uniqueness solutions of fractional-order satellite system and studying the local stability of the system at equilibrium points. Through the use of fractional dynamics and computational simulation, the lowest dimension of chaotic attractor of satellite system is determined. Chaos control and synchronization of two identical noninteger order chaotic satellite systems are achieved through feedback control method and adaptive control methodology, respectively.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
(2021)
Article
Engineering, Electrical & Electronic
Dina Ahmed Kafi, Salam K. Mousa, Raied K. Jamal
Summary: In this study, a new synchronization method was achieved between two different chaotic systems by coupling them with a coupling factor (k). The behavior of Chua system completely transformed by changing the value of coupling factor, leading to different levels of synchronization. This synchronization can be applied in the field of secure communications.
OPTICAL AND QUANTUM ELECTRONICS
(2022)
Article
Automation & Control Systems
Mohammad Ali Labbaf Khaniki, Mohammad Salehi Kho, Mahdi Aliyari Shoorehdeli
Summary: This study presents a novel adaptive non-singular fast terminal sliding mode controller for the tracking control and synchronization of a chaotic spur gear system. The proposed controller attenuates the chattering phenomena of conventional sliding mode controllers and employs a non-singular fast terminal sliding mode surface to increase convergence rate and guarantee finite-time convergence. Additionally, an extreme learning machine neural network is used to estimate the unknown dynamics of the spur gear system and the reaching law coefficients, combining direct and indirect adaptive control.
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
(2022)
Article
Computer Science, Information Systems
Filips Capligins, Anna Litvinenko, Deniss Kolosovs, Maris Terauds, Maris Zeltins, Dmitrijs Pikulins
Summary: This paper presents a novel digital chaotic communication system with antipodal chaotic shift keying modulation, implemented in an FPGA. Such systems provide high security on the physical communication level and can be used in wireless sensor network systems. The performance is evaluated using simulation and analysis of the bit error ratio.
Article
Automation & Control Systems
Zahra Yaghoubi, Mahdieh Adeli
Summary: This paper proposes an adaptive observer-based scheme to control fractional-order chaotic micro-electro-mechanical systems. The fractional-order model provides a more accurate representation of the dynamic behavior of the system compared to an integer-order model. The proposed control method considers the unknown parameters and utilizes both estimated parameters and states in the control law. A fractional-order observer is designed to estimate the state variables, and the asymptotic convergence to zero of the estimation state error is proved using the Lyapunov scheme. The efficacy of the proposed method is demonstrated through simulations in two case studies.
IET CONTROL THEORY AND APPLICATIONS
(2023)
Article
Mathematics, Applied
Israr Ahmad
Summary: This article presents a new Lyapunov-based robust direct-adaptive controller for controlling chaos in the nuclear spin generator chaotic system. By avoiding the cancellation of nonlinear terms by the controller, it ensures closed-loop stability in the presence of unknown parametric uncertainties. The proposed controller eliminates the effects of time-varying external disturbances and model uncertainties, achieving rapid and smooth convergence of state variable trajectories.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Engineering, Mechanical
Qinrui Dai
Summary: A novel adaptive time-delay multi-body interaction control method is proposed in this work, which enables the neural network system to achieve complex coexistence phenomenon without trivial phenomena by controlling one neuron node.
NONLINEAR DYNAMICS
(2023)
Article
Computer Science, Information Systems
Ruslans Babajans, Darja Cirjulina, Juris Grizans, Arturs Aboltins, Dmitrijs Pikulins, Maris Zeltins, Anna Litvinenko
Summary: This study focuses on the implementation of a QCPSK communication system using different chaos oscillators and evaluates the noise immunity of chaos synchronization and the performance of the baseband model in an AWGN channel. The correlation coefficient and bit error ratio are used as assessment methods.
Article
Mathematics, Interdisciplinary Applications
Yue Li, Mingfeng Yuan, Zengqiang Chen
Summary: This paper presents a novel approach for constructing 3D conservative chaotic systems with dissipative terms using the Shilnikov theorem. An example system is used to demonstrate the effectiveness of the proposed method, showing that the dissipative term and angular frequency have important influence on system motion. The system exhibits distinct forms of conservative chaos and invariant torus, and a derivative system is proposed to expand its range of motion. Numerical analysis reveals a coexistence phenomenon, visually demonstrated using phase diagrams and basins of attraction. Analog circuits are designed for both systems, yielding results closely matched to the numerical simulations.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Physics, Multidisciplinary
Ahmad Taher Azar, Fernando E. Serrano, Quanmin Zhu, Maamar Bettayeb, Giuseppe Fusco, Jing Na, Weicun Zhang, Nashwa Ahmad Kamal
Summary: This paper presents the robust stabilization and synchronization of a novel chaotic system, including bifurcation analysis and robust controller design. By implementing a sigmoidal function to create chaotic behavior and using robust control Lyapunov function for synchronization, stability is achieved through the control law designed for stabilization and synchronization purposes.
Editorial Material
Multidisciplinary Sciences
Christos Volos
Article
Computer Science, Information Systems
Lazaros Laskaridis, Christos Volos, Ioannis Stouboulos
Summary: This study presents a novel approach to understand the behavior of the physical memristor in KNOWM and demonstrates its use as a nonlinear resistor in chaotic circuits. Through the use of various nonlinear simulation tools, interesting phenomena related to chaos theory, such as the antimonotonicity phenomenon and hysteresis phenomenon, were observed.
Article
Mathematics
Lazaros Moysis, Ioannis Kafetzis, Murilo S. Baptista, Christos Volos
Summary: This paper proposes a chaotification technique that enhances the complexity of one-dimensional maps using the remainder operator. The technique produces maps with higher Lyapunov exponents and stable chaotic behaviors. Additionally, the technique demonstrates advantages in the problem of pseudo-random bit generation.
Article
Mathematics
Fawaz E. Alsaadi, Amirreza Yasami, Christos Volos, Stelios Bekiros, Hadi Jahanshahi
Summary: A key challenge for drug dosing schedules is the ability to learn an optimal control policy even when there is a paucity of accurate information about the systems. Artificial intelligence has great potential for shaping a smart control policy for the dosage of drugs for any treatment. In this research, a Caputo-Fabrizio fractional-order model of cancer chemotherapy treatment was elaborated and analyzed, and a fuzzy-reinforcement learning-based control method using the SARSA algorithm was proposed to control cancer through chemotherapy treatment.
Editorial Material
Mathematics, Interdisciplinary Applications
Sundarapandian Vaidyanathan, Aceng Sambas, Chang-Hua Lien, Mustafa Mamat
DISCRETE DYNAMICS IN NATURE AND SOCIETY
(2023)
Article
Engineering, Electrical & Electronic
Sundarapandian Vaidyanathan, Khaled Benkouider, Brisbane Ovilla-Martinez, Esteban Tlelo-Cuautle, Aceng Sambas, P. Darwin
Summary: This research work presents the discovery of a new 4-D hyperchaotic two-scroll system with three second-order nonlinear terms, which demonstrates that the system has no rest point for non-zero values of the system parameters, thereby indicating the existence of a hidden attractor. The main findings of this new hyperchaotic system include a detailed bifurcation analysis, coexisting attractors, and offset-boosting control. A prototype of the 4-D hyperchaotic two-scroll system with hidden attractor was implemented using FPGA technology and the results of the circuit design simulation and FPGA synthesis experiments were found to be in good agreement with theoretical simulations.
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS
(2023)
Article
Multidisciplinary Sciences
Karthikeyan Rajagopal, Sathiyadevi Kanagaraj, Christos Volos, Anitha Karthikeyan
Summary: The discrete system is important for mimicking the collective dynamics of continuous dynamical systems, which are relevant to many natural and artificial systems. In this study, we use three-dimensional sinusoidal discrete maps with a self-feedback factor to investigate the dynamical transitions. We demonstrate the presence of symmetry in parametric variation using two parameter diagrams and explore the transitions in a network of sine maps with self-feedback. Negative feedback leads to a transition from cluster state to synchronization, while increasing feedback from negative to positive causes a transition from synchronization to desynchronization via chimera state in various complex network connectivities.
Article
Multidisciplinary Sciences
Lazaros Moysis, Marcin Lawnik, Ioannis P. P. Antoniades, Ioannis Kafetzis, Murilo S. S. Baptista, Christos Volos
Summary: In this work, a chaotification technique is proposed to increase the complexity of chaotic maps by combining the most- and least-significant digits. The resulting map achieves a higher Lyapunov exponent value through parameter tuning. The transformed chaotic map is utilized for the encryption of B-spline curves and patches, resulting in visually unrecognizable ciphertext and strong performance on statistical tests.
Article
Engineering, Marine
Hung-Chih Li, Ker-Wei Yu, Chang-Hua Lien, Chitsan Lin, Cheng-Ruei Yu, Sundarapandian Vaidyanathan
Summary: This paper proposes a closed-loop control system using dual-input fuzzy logic theory to improve the water quality of aquaculture. The system is implemented on a Raspberry-Pi-embedded platform using Python programming. It integrates various functions to achieve savings in human resources, power, and water consumption. Experimental results demonstrate that the intelligent controller can rapidly eliminate ammonia nitrogen and maintain robust control in response to changes in ammonia nitrogen excretion from fish. The results provide insights into optimizing aquaculture density and achieving significant savings in power and water.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2023)
Article
Mathematics
Sundarapandian Vaidyanathan, Ahmad Taher Azar, Ibrahim A. Hameed, Khaled Benkouider, Esteban Tlelo-Cuautle, Brisbane Ovilla-Martinez, Chang-Hua Lien, Aceng Sambas
Summary: This research paper models a new 3-D chaotic jerk system with a stable equilibrium and shows that it exhibits hidden attractors. Bifurcation analysis is performed on the system, revealing its multistability with coexisting attractors. Backstepping control is applied to synchronize a pair of new jerk systems, with Lyapunov stability theory used to establish synchronization results. The FPGA design of the jerk system is implemented using the FPGA Zybo Z7-20 development board, and experimental attractors are found to align with simulation results.
Article
Chemistry, Analytical
Saliha Gada, Arezki Fekik, Miroslav Mahdal, Sundarapandian Vaidyanathan, Ahmed Maidi, Ali Bouhedda
Summary: This study provides a comprehensive overview of the Single-Stage Grid-Connected Solar Photovoltaic (SSGC-SPV) system and compares two types of inverters. The Finite Set-Model Predictive Control (FS-MPC) algorithm is adopted for control and its performance is evaluated for achieving low Total Harmonic Distortion (THD) and high-quality power feedback to the grid.
Article
Multidisciplinary Sciences
Marcin Lawnik, Lazaros Moysis, Christos Volos
Summary: In this work, a family of piecewise chaotic maps is proposed, which is parameterized by nonlinear functions used for each piece of the mapping. The generated maps have no equilibria and exhibit chaotic behavior due to a constraint applied to the shape of each piece. This family belongs to the category of systems with hidden attractors. Examples of chaotic maps are provided, showing fractal-like, symmetrical patterns at the transition between chaotic and non-chaotic behavior. Furthermore, the proposed maps are successfully applied to a pseudorandom bit generator.
Article
Computer Science, Information Systems
Sundarapandian Vaidyanathan, Alain Soup Tewa Kammogne, Esteban Tlelo-Cuautle, Cedric Noufozo Talonang, Bassem Abd-El-Atty, Ahmed A. A. Abd El-Latif, Edwige Mache Kengne, Vannick Fopa Mawamba, Aceng Sambas, P. Darwin, Brisbane Ovilla-Martinez
Summary: This paper presents a new chaotic jerk system with three cubic nonlinear terms. The stability properties of the three equilibrium points are analyzed, showing that they are unstable and the system exhibits self-excited chaotic attractors. Numerical investigation of the bifurcation structures reveals period-doubling, periodic windows, and coexisting bifurcations. An electronic circuit design using PSPICE is proposed, and an image-encryption approach based on the chaotic jerk system is presented. Experimental results demonstrate the effectiveness and reliability of the encryption mechanism for various cryptographic purposes.
Article
Engineering, Multidisciplinary
Sundarapandian Vaidyanathan, Esteban Tlelo-Cuautle, Khaled Benkouider, Aceng Sambas, Brisbane Ovilla-Martinez
Summary: This research manuscript presents a new 3-D chaotic jerk system with two unstable balance points. It demonstrates that the proposed system exhibits multistability and coexisting chaotic attractors for the same set of system constants but different initial states. The paper also highlights the special properties of the system through a bifurcation analysis and provides an FPGA implementation and comparison with MATLAB simulations.
Article
Computer Science, Information Systems
Talal Bonny, Sundarapandian Vaidyanathan, Aceng Sambas, Khaled Benkouider, Wafaa Al Nassan, Omar Naqaweh
Summary: In this paper, a novel 3-D jerk system with three quadratic nonlinear terms is proposed and its dynamical properties are demonstrated. An electronic model is designed using Multisim version 14.0 for practical implementations. The feasibility of the proposed chaotic jerk system is demonstrated through implementation using a field-programmable gate array (FPGA), showing high throughput and low power consumption. Additionally, a new image encryption scheme based on the proposed jerk system is developed, showing high security and excellent encryption performance.
