基于Lü系统的一个新超混沌系统分析

摘要

A new four-dimensinal hyperchaotic system based on Ltl system is built via deformation and a state feedback controler is introduced in the paper. Its basic dynamical properties, such as the hyperchaos attractors, the bifurcation diagram and Lyapunov exponent, are studied. Results show that the new system displays rich dynamical behaviors and can be periodic, quasi-periodic, chaotic and hyperchaotic as the introduced parameter varies.%通过对Lü混沌系统变形,然后引入一个状态反馈控制器构造了一个新的四维超混沌系统.利用理论分析和数值仿真的方法对系统的基本特性,如超混沌吸引子的相图、分岔图、Lyapunov指数等进行分析.结果表明:该超混沌系统具有丰富的动力学行为,随着新引入的参数变化呈现周期、拟周期、混沌及超混沌动力学行为.