Dynamics, control and secure transmission electronic circuit implementation of a new 3D chaotic system in comparison with 50 reported systems

Abstract

The very high demand for chaotic systems in the fields of sciences, particularly in secure communication, leads numerous researchers to build novel systems. This work announces a new easy to implement 3D chaotic system with five quadratic nonlinearities and three positive parameters, the proposed system is complex with larger bandwidth compared to at least 50 other systems that have been described. It contains eight terms and it can generate chaotic, periodic and quasi-periodic behaviors. The main dynamical properties of the proposed system are studied using Kaplan-Yorke dimension (KYD), Lyapunov exponents, bifurcation diagrams, multistability, equilibrium points stability and dissipativity. Then, the eight terms system feasibility is verified using Multisim software by designing its electronic circuit. In addition, active controllers are designed for leading the proposed system to achieve stability, tracking a desired dynamic and synchronizing with an identical model. Finally, using drive response synchronization, a novel secure communication electrical circuit design is built based on the suggested approach. The findings from numerical experiment demonstrated the new system's success in completing the encryption/decryption process, as well as its secured transmission technique.