一个新超混沌系统及其线性反馈控制  

A NOVEL HYPERCHAOTIC SYSTEM AND ITS LINEAR FEEDBACK CONTROL

作　　者：高智中[1] 王颖[1] 

机构地区：[1]安徽科技学院理学院,安徽凤阳233100

出　　处：《数值计算与计算机应用》2012年第3期167-172,共6页Journal on Numerical Methods and Computer Applications

基　　金：安徽省高校省级优秀青年人才基金项目(2012SQRL146)

摘　　要：为提高混沌吸引子的拓扑结构的复杂性,构造了一个新的四维超混沌系统.用数值模拟的方法研究了该系统的超混沌吸引子的相图、系统的分岔图、Lyapunov指数谱图和Lyapunov维数等.分析结果表明,新的四维系统当参数满足一定条件时,具有两个正的Lyapunov指数,是一个超混沌系统,系统的分岔图与Lyapunov指数谱是完全吻合的,随着参数变化呈现周期、混沌及超混沌动力学行为.利用线性反馈控制法镇定了超混沌系统的不稳定平衡点,数值模拟结果表明该方法的可行性和有效性.In order to enhance the complexity of attractor＇s topological structure, a novel tourdimensional hyperchaotic system is reported in this paper. The phase diagram, bifurcation diagram and Lyapunov exponents spectrum diagram and fractal dimension of the system are analyzed by means of numerical simulations.Results show this system is a new fourdimensional hyperchaotic system with two positive Lyapunov exponents when its parameters satisfy certain conditions. The bifurcation diagram is verified by the related Lyapunov exponent spectrum diagram.The new system＇s dynamics behavior can be periodic, chaotic and hyperchaotic as the parameter varies. The unstable equilibrium of hyperchaotic system can be suppressed using the method of linear feedback control, numerical simulations show the applicability and effectiveness of the method.

关 键 词：新超混沌系统 相图 分岔图 Lyapunov指数谱图 线性反馈控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O415.5[自动化与计算机技术—控制科学与工程]