A new 7D memristor-based hyperchaotic system and its application to secret information transmission

Abstract

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.