Analysis, circuit design, and synchronization of a new 8D memristor-based chaotic system with application to chaotic masking and signal decoding

Abstract

The most pressing modern problem of using chaotic systems in practice is the development of information encryption methods. To solve these problems, there is a need to develop multidimensional chaos generators. The article outlines the development of an 8D nonlinear dynamic system utilizing a memristor. An examination of innovative 8D dynamic systems was conducted, focusing on the determination of Lyapunov exponents, the construction of bifurcation diagrams, and the identification of equilibrium points. As a result of computer modeling of an 8D hyperchaotic system in Matlab-Simulink and LabVIEW, phase portraits of numerous strange attractors were obtained. Finally, using Multisim software, electronic circuits for new 8D chaos generators were built, which demonstrated similar behavior as in the Matlab-Simulink and LabVIEW models. The synchronization challenge for both identical 8D hyperchaotic systems was investigated using a nonlinear active control method. A simple approach to chaotic masking and decoding of signals based on an 8D memristive system is demonstrated.