三维四翼广义增广Lü系统

Three-dimensional four-wing generalized augmented Lü system

增广Lü系统是仅含有两个控制参数的三维混沌系统,可产生一个伪四翼吸引子.利用混沌反控制方法,通过在增广Lü系统中引入一个简单的线性状态控制器,提出了一个新三维混沌系统——广义增广Lü系统.新系统实现了一个真正的具有复合结构的四翼吸引子,它包含了两个镜像对称的子系统.理论分析、数值仿真和电路实验证明了广义增广Lü系统四翼吸引子的存在性,也阐述了广义增广Lü系统有着较增广Lü系统更加丰富的动力学特性.

The augmented Lü system is a three-dimensional chaotic system,which can generate a false 4-wing attractor with only two control parameters. By using the method of anti-control chaos,a new three-dimensional chaotic system,named as generalized augmented Lü system,is proposed by the introducing a simple linear state controller into the augmented Lü system. The new system implements a real 4-wing attractor with compound structure and contains two mirrored symmetrical sub-system. By either of theoretical analyses,numerical simulations and circuit experiments,the existence of 4-wing chaotic attractor evolved from the generalized augmented Lü system is verified. It is also elaborated that the generalized augmented Lü system having more abundant dynamical behaviors than the augmented Lü system.