Design of a New Seven-Dimensional Hyperchaotic Circuit and Its Application in Secure Communication

In the fields of physics, mathematics, communication, control, biology, etc., chaos is widely used, and it plays an important role in modern science and technology. In this paper, a new seven-dimensional hyperchaotic system is proposed and some related features of the hyperchaotic system are analyzed, including equilibrium stability, dissipation, bifurcation and Lyapunov exponent. The results show that the proposed hyperchaotic system exhibits hyperchaotic, chaotic, quasi-periodic and periodic dynamic behaviors. The seven-dimensional hyperchaotic system is implemented through experiments, and the phase diagrams of the circuit simulation are consistent with those of the numerical simulation, which verifies the physical realization of the hyperchaotic system. In view of chaos in some important fields, such as communication security and complex systems, the seven-dimensional hyperchaotic system is applied to signal encryption and decryption circuit design. Firstly, the proposed seven-dimensional hyperchaotic system is scaled and transformed into a hyperchaotic system that is easy to implement. Then an improved chaotic circuit module design is adopted. Finally, the seven-dimensional hyperchaotic circuit is designed to form a hyperchaotic secure communication circuit. The electronic circuit realizes the confidential communication and its experimental results prove the effectiveness of the designed scheme.