一类多翼蝴蝶混沌吸引子及其电路实现

摘要

提出了一种构造多翼蝴蝶混沌吸引子的新方法。在Liu混沌系统的基础上，通过设计一种新的分段线性函数，构造了一个产生多翼蝴蝶混沌吸引子的混沌系统。对系统的平衡点、Lyapunov指数谱、分岔图、相图、频谱和Poincaré截面进行了分析。最后，设计了相应的硬件电路。电路实验结果与数值仿真结果一致，验证了该方法的可行性和有效性。%A novel method is presented generating multi-wing butterfly chaotic attractors in this paper. Based on Liu chaotic system, a multi-wing butterfly chaotic system is constructed via designing a new piecewise linear function. The equilibri-um point, Lyapunov exponent spectra, bifurcation diagram, phase diagram, frequency spectrum and Poincaré mapping of the system are studied. Furthermore, an electronic circuit is designed to implement the system. The experimental results are in agreement with numerical simulation results, which verify the feasibility and availability of this method.