一种新的多翼蝴蝶超混沌吸引子及其电路设计

A Novel Multi-wing Butter fly Hyper-chaotic Attractors and Circuit Design

在Lorenz系统的基础上,通过增加一个状态方程,并设计一种新的分段线性函数,构造了一个新的四维超混沌系统。通过数值仿真,对系统的相图、Lyapunov指数谱和分岔图进行了研究。结果表明新的四维超混沌系统能产生六翼蝴蝶超混沌吸引子。最后,设计了相应的电路,电路仿真结果与数值仿真结果相一致,验证了该系统的可实现性。

Based on Lorenz system,a novel four-dimension hyper-chaotic system is presented via adding a state equation and designing a new piecewise linear function in this paper. Through the numerical simulation,the phase diagrams,Lyapunov exponential spectrums and bifurcation diagrams of the system are studied. The numerical simulation result shows that the four-dimension hyper-chaotic system is able to generate six-wing butterfly hyper-chaotic attractors. Furthermore,an electronic circuit is designed to implement the system. The circuit simulation results are in agreement with the numerical simulation results,which verify the realizability of the system.