Henon系统吸引子结构和混沌控制

Attractor Structure and Chaos Controll of the Henon System

运用数值的方法,研究了Henon系统在流形的混沌吸引子结构.通过Henon系统分岔图及其对应的最大Lyapunov指数谱,揭示了Henon系统通向混沌的途径.通过数值运算,得到了Henon系统的不稳定的周期1和不稳定周期2轨道.最后,通过非线性反馈控制方法对系统进行了控制.

The structure of chaotic attractor of Henon system was discussed on manifold by numerical methods. The routes from periodic - doubling bifurcation to chaos were demonstrated by bifurcation diagram and the largest Lyapunov -exponent spectrum. Then we got the unstable fixed points and the periodic orbits of Henon map by numerical method. Finally, an effective controlling method was applied to control the chaotic state of Henon system.