一种新的双翼和四翼蝴蝶吸引子共存的超混沌系统

摘要

针对现有的四翼超混沌系统在系统参数固定时，不能同时产生双翼和四翼蝴蝶混沌吸引子的问题，提出了一种双翼与四翼蝴蝶混沌吸引子共存的超混沌系统。对系统的平衡点、Lyapunov指数谱和分岔图进行了研究，呈现了系统的超混沌特性。最后，利用主动控制同步法，设计了合适的非线性反馈控制器，实现双翼与四翼吸引子共存的超混沌系统的广义投影同步。%Considering the issue of the four-wing hyper-chaotic system cannot produce two-wing and four-wing hyper-chaotic attractors simultaneously when the parameters of the system are fixed,a novel hyper-chaotic system is presented,in which the two-winged and four-winged attractors can coexist in this paper. Through the study of the equilibrium points,the Lyapunov exponent spectrums and bifurcation diagrams,it shows the dynamic characteristics of the hyper -chaotic system. Furthermore,with an active control method,the proper nonlinear feedback controllers are designed to achieve the generalized projective synchronization of the hyper-chaotic system.