Chaotic systems, as a core research topic in nonlinear science, have significant application value in information security and communication encryption. This paper proposes a novel four-dimensional hyperchaotic multi-wing system. By introducing a periodic nonlinear coupling function (w) and extending the state variables, an autonomous system with rich and complex dynamic behaviors is constructed. Theoretical analysis indicates that this system possesses infinitely countable equilibrium points, exhibiting a grid-like distribution of saddle-focus structures, providing the mathematical foundation for the formation of multi-wing attractors. Hyperchaotic characteristics of the system under specific parameters are verified through numerical simulations. Furthermore, the regulatory mechanism of system parameters on dynamic behaviors is analyzed, revealing the complete evolution path from periodic to chaotic states. An equivalent chaotic circuit is designed based on the Multisim platform, achieving circuit simulation and implementation of the multi-wing attractors. Finally, the potential application of the system in Quantum Key Distribution for key expansion and noise masking is preliminarily explored. This study provides theoretical support and an experimental basis for the construction, analysis, and engineering application of high-dimensional chaotic systems.
Huang et al. (Thu,) studied this question.