一个新混沌系统的多涡卷吸引子及其电路实现

通过对原有多涡卷混沌系统构造方法的研究,提出了一个新的分段线性函数,用其构造了一个新的多涡卷混沌系统。对该多涡卷混沌系统平衡点性质、Lyapunov指数谱、分岔图、相图、频谱和Poincaré截面等特性进行了研究。设计了相应的模拟电路实现了该多涡卷混沌系统。电路实验结果与数值仿真结果一致,验证了利用新的分段函数产生多涡卷混沌系统的可行性和有效性,为多涡卷混沌系统的构造提供了一种新的方法。

A New Multi-scroll Chaotic System and Its Circuit Implementation

Based on the research of construction method for multi-scroll chaotic system,a new piece-wise linear function is presented,and a chaotic system by using the new piecewise function.There is a new multi-scroll chaotic system designed through this method.The equilibrium point,Lyapunov expo-nent spectra,bifurcation diagram,phase diagram,frequency spectrum and Poincarémapping of the new system are studied.Furthermore,and electronic circuit is designed to implement the system.The experi-mental results are in agreement with numerical simulation results,which verify the feasibility and availa-bility of this method.