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

Wenxin Yu,Dan Jiang,Hongping Zhu,Mu Li,Junnian Wang,Yan Li,Jing Wang

doi:10.1109/access.2019.2935751

Abstract

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.

Highlights

Chaotic system refers to the existence of seemingly random irregular motion in a deterministic system
In the study of secure communication using chaotic encryption, researchers have found that high-dimensional hyperchaotic systems are more difficult to interpret than lowdimensional chaotic systems [16]–[17]
In [40], Sprott proposed the standard for constructing a new chaotic system, this paper proposes and introduces a new type of seven-dimensional hyperchaotic system

Summary

INTRODUCTION

Chaotic system refers to the existence of seemingly random irregular motion in a deterministic system. In the study of secure communication using chaotic encryption, researchers have found that high-dimensional hyperchaotic systems are more difficult to interpret than lowdimensional chaotic systems [16]–[17]. Hyperchaotic signals can promote and enhance the security of chaos-based communication and digital audio encryption. 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, and a physical circuit is tested to achieve secure communication. Hyperchaotic signals can improve the security of chaotic information encryption and chaotic secure communication.The dynamic behavior of the hyperchaotic system is analyzed as follows: the stability and balance analysis of the hyperchaotic system is first demonstrated, and the dissipation of the system is verified. As all system trajectories will eventually be limited to a set of zero volumes, the progressive motion of the system will be fixed at the attractors

BIFURCATION AND THE LYAPUNOV EXPONENT SPECTRUM

CHAOTIC SYNCHRONIZATION SECURE COMMUNICATION CIRCUIT IMPLEMENTATION

CONCLUSION