The Lyapunov Dimension Of The Chaos System

With a number of chaotic systems to be founded,the dynamic behavior of the attractor received extensive attention of the researchers,a key question is to depict the dimensions of the chaotic attractor,because it reflects the complexity of the substructure and geometric feature.In this paper,the second part we main look back the definition of the chaos system attractor's Lyapunov dimension and fractal dimension.Also,the definition and characteristic of chaos system.In third section we obtain an estimation of Lyapunov dimension of Liu system by constructing Lyapunov function,a nonsingular matrix S and a function(?)based on Lyapunov dimension theory developed by G.A.Leonov,The last we give an estimation of Liu system in state of chaos.In fourth section by the similar way,giving an estimation of new chaos system's Lyapunov dimension.