新型五维保守超混沌系统OA

Conservative chaotic systems lack obvious chaotic attractors,making them less susceptible to attacks using phase space reconstruction methods.Compared to dissipative chaotic systems,they are more suitable for providing valuable nonlinear dy-namic properties for engineering applications such as secure communication,image encryption,and random number generators.Meanwhile,hyperchaotic systems,due to their more unpredictable dynamic properties,are increasingly becoming a focus of re-search in the cryptographic field.Therefore,this paper constructs a novel five-dimensional conservative hyperchaotic system and us-es methods such as dissipation,equilibrium points,bifurcation graphs,Lyapunov exponent spectra,and phase diagrams to de-scribe its dynamic behavior in phase space.Simulation results show that the chaotic system possesses two positive Lyapunov expo-nents,and the five Lyapunov exponents of the system are aligned about the horizontal axis,with a sum of zero.This proves that the system simultaneously satisfies the properties of both hyperchaotic and conservative systems.Finally,this paper conducts NIST ex-periments on the conservative hyperchaotic iterative results generated by this system.The experiments confirm that the iterative re-sults have strong randomness.This paper considers the conservative hyperchaotic system as a fifth-order system,demonstrating su-perior encryption performance and applicability to various security fields.