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

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 sevendimensional 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.

A Financial Chaotic System Control Method Based on Intermittent Controller

“…By establishing a mathematical model to analyze the combination of financial stability, not only can it help the macrocontrol of the financial system but also help the mitigation of the financial crisis through the study of the financial chaotic system control model. In recent years, significant progress has been made in the field of control [33][34][35][36][37][38][39][40]. Control algorithms have emerged endlessly, which have created favorable conditions for financial chaos control.…”

Design of Adaptive-Robust Controller for Multi-State Synchronization of Chaotic Systems with Unknown and Time-Varying Delays and Its Application in Secure Communication

“…The work on applications of chaotic synchronization in secure communication has grown dramatically in recent years [ 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 ]. Developing control systems for synchronization of various chaotic systems has been one of the main focuses of prior works, aiming to improve security in communication.…”

“…Another work by [ 29 ] proposed the design of an Op-Amp-based analog circuit to obtain secure communication. The proposed analog circuit of the seven-dimensional chaotic system is designed and implemented.…”

Secure Communication Based on Hyperchaotic Underactuated Projective Synchronization

“…Chaotic and hyperchaotic systems have been used in most diverse contexts, including nonlinear identification [27]- [29], observation and control [30], [31], economy [32], [33], welding [34], [35], and secure communication [11], [21], [36], [37], [39]- [42]. In particular, chaos-based cryptography is a very active research topic in the literature, which is motivated by the pseudo-random behavior observed in chaotic systems.…”