This work presents a new seven-dimensional (7D) chaotic system based on a fluxcontrolled memristor, which we consider in two versions. The first version of a 7D memristive chaotic system describes self-excited attractors. In the second version, in a 7D memristive chaotic system, hidden attractors can arise by adjusting the values of one constant parameter. A study was conducted on both types of innovative 7D dynamic systems to determine Lyapunov exponents, construct bifurcation diagrams, and identify equilibrium points and the corresponding stability conditions for each system. As a result of computer modeling of 7D hyperchaotic systems in Matlab-Simulink, phase portraits were obtained for self-excited and hidden strange attractors. Finally, electronic circuits for new 7D chaos generators with different types of attractors were built using Multisim software, which showed behavior similar to the Matlab-Simulink models. The synchronization problem for both identical 7D hyperchaotic memristive systems was investigated using the active control method. For practical applications, a method of chaotic encryption and decryption of an information signal was developed and numerically tested.

In this study, novel Lorentz-like fractional-order dynamical systems are proposed, offering potential applications across various engineering domains. Based on a threedimensional system of the Lorentz-like type of integer order, new nonlinear dynamic systems of fractional order are constructed for four, five, and six state variables. These systems can describe real convective processes in fractal media characterized by a memory effect. For these systems, equilibrium points and stability conditions are determined using the theorem on local asymptotic stability of fractional order systems. Utilizing the frequency domain approximation method, Matlab-Simulink models were developed for novel chaos generators characterized by a fractional order index of 0.95. Through the utilization of Multisim software, we designed electronic circuits to validate the physical feasibility of our proposed systems. The simulation results obtained from both Matlab and Multisim exhibit excellent agreement, reinforcing the reliability of our proposed models. To demonstrate the synchronization of two unidirectionally coupled 3.8d chaotic systems, Matlab-Simulink models were created in two versions. The first version assumes an identical fractional index for both the master and slave systems, while the second version involves different fractional indices for the two systems. These systems were further employed for the chaotic masking of a harmonic signal. An electronic circuit implementing the chaotic masking process in Multisim is also presented. The results obtained from this proposed scheme demonstrate the success of the approach in accomplishing the encryption and decryption procedures effectively.

In this paper, to demonstrate the chaotic behavior of a new 6D discrete system, the modern Matlab-Simulink software environment was used. We have obtained a discrete 6D chaotic system by the Euler method from a continuous 6D system of dynamic equations. In the Matlab-Simulink environment, models for continuous and discrete 6D systems of equations were created, and the results were identical. To demonstrate the synchronization of two unidirectional connected continuous and discrete 6D systems, Simulink models were proposed.  A discrete 6D system was applied for the chaotic masking of a narrow-band harmonic signal and image encryption. For visualizing and practical realization of the new chaotic discrete system we used Arduino Uno board and six light-emitting diodes (LEDs). The programming code and connecting technique are also shown. The program code was debugged into the free Arduino simulation environment such as Tinkercad. Compiling hex. file in the program software Arduino IDE allows us to simulate a 6D chaotic system using the Arduino Uno microcontroller in the Proteus 8 environment.

In this work, a new nonlinear dynamic (6D) system of equations is proposed that describes the process of magnetic field generation. This system of equations is an alternative to the Rikitake dynamo system describing chaotic magnetic field reversals. The behavior of the new dynamical system is studied by analyzing the stability of equilibrium points. For fixed parameters of the 6D dynamical system, the spectrum of Lyapunov exponents and the Kaplan-York dimension are calculated. The presence of two positive Lyapunov exponents demonstrates the hyperchaotic behavior of the 6D dynamical system. The fractional Kaplan-York dimension indicates the fractal structure of strange attractors. We have shown that an adaptive controller is used to stabilize the novel 6D chaotic system with unknown system parameters. An active control method is derived to achieve global chaotic synchronization of two identical novels 6D chaotic systems with unknown system parameters. Based on the results obtained in Matlab-Simulink and LabVIEW models, a chaotic signal generator for the 6D chaotic system is implemented in the Multisim environment. The results of chaotic behavior simulation in the Multisim environment show similar behavior when comparing simulation results in Matlab-Simulink and LabVIEW models.

In this paper, Matlab-Simulink and LabView models are constructed for a new nonlinear dynamic system of equations in an eight-dimensional (8D) phase space. For fixed parameters of the 8D dynamical system, the spectrum of Lyapunov exponents and the Kaplan-York dimension are calculated. The presence of two positive Lyapunov exponents demonstrates the hyperchaotic behavior of the 8D dynamical system. The fractional Kaplan-York dimension indicates the fractal structure of strange attractors. We have shown that an adaptive controller is used to stabilize the novel 8D chaotic system with unknown system parameters. An active control method is derived to achieve global chaotic synchronization of two identical novel 8D chaotic systems with unknown system parameters. Based on the results obtained in Matlab-Simulink and LabView models, a chaotic signal generator for the 8D chaotic system is implemented in the Multisim environment. The results of chaotic behavior simulation in the Multisim environment show similar behavior when comparing simulation results in Matlab-Simulink and LabView models.