Modulus Synchronization in Non-identical Hyperchaotic Complex Systems and Hyperchaotic Real System Using Adaptive Control

This paper presents a new modulus combination-combination synchronization (MCCS) scheme using the adaptive control technique. MCCS scheme is performed between complex hyperchaotic (HC) systems and real hyperchaotic (HC) systems. The HC complex Lorenz and Lu are taken as master systems, and the HC Chen system and Newton-Leipnik are taken as slave systems. Based on the Lyapunov stability theory, adaptive control and parameter update law are obtained from making the MCCS. According to the appropriateness of modulus synchronization as a persuasive explication for secure communication, we then explored the application of the suggested adaptive MCCS design. Also, the complexity of master systems improves the protection of stable transmission. Technical investigation and conclusion of simulations verify the performance of the suggested technique using MATLAB.