一个新的非线性系统及其超混沌控制

为产生复杂的超混沌吸引子,对经典的Lü系统变形,引入一个非线性状态反馈控制器,构造了一个新的四维非线性系统,并对系统的基本动力学特性进行了简要研究,得到系统的吸引子、分岔图和Lyapunov指数谱及分数维数,系统随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.利用系统单变量的比例微分反馈控制法,抑制了该系统的超混沌运动,理论分析和计算机模拟结果表明了该方法的有效性和正确性.

A novel nonlinear system and its hyperchaotic control

In order to generate complex hyperchaotic attractor,a new four-dimensinal nonlinear system based on the classic Lü system is built via deformation and introducing nonlinear state feedback controler.Its basic dynamical properties are briefly investigated via the attractors at edvia the atlractors,the bifurcation diagram,Lyapunov exponent spectrum and fractal dimension.The new system displays periodic,quasi-periodic,chaotic and hyperchaotic when the introduced parameter is changed.The hyperchaotic motion of the system is suppressed using the method of single variable proportion and differential feedback.Theoretical analysis and computer simulations results show the feasibility and effectiveness of the method.