摘要
基于Lü混沌系统,构造了一个新的四维超混沌系统.分析了该系统平衡点的性质、超混沌吸引子的相图、系统的分岔图和Lyapunov指数谱等基本动力学特性.数值模拟结果表明,新的四维系统随着新引入的参数变化能够在周期态、复杂周期态、拟周期态、混沌态及超混沌态之间转变.利用线性反馈控制法讨论了该超混沌系统不稳定平衡点的镇定,数值模拟结果与理论分析一致.
A new four-dimensional hyperchaotic system based on Lü system is built in the paper.Some of its basic dynamical properties are studied,such as the feature of equilibrium,the hyperchaos attractor,the bifurcation diagram and Lyapunov exponent spectrum.Numerical simulations show that the new system＇s dynamics behavior can switch among periodic state,complex periodic state,quasi-periodic state,chaotic state and hyperchaotic state when the parameters vary.The unstable equilibrium of hyperchaotic system can be suppressed using the method of linear feedback control.Numerical simulations are in accord with theoretical analysis.
出处
《沈阳工程学院学报（自然科学版）》
2011年第3期281-284,共4页
Journal of Shenyang Institute of Engineering:Natural Science
基金
安徽科技学院自然科学项目(ZRC2010260)
关键词
超混沌系统
相图
分岔图
LYAPUNOV指数谱
控制
hyperchaotic system
phase diagram
bifurcation diagram
Lyapunov exponent spectrum
control
